image-match/python/py/Lib/site-packages/fontTools/misc/bezierTools.c

/* Generated by Cython 3.2.4 */

/* BEGIN: Cython Metadata
{
    "distutils": {
        "name": "fontTools.misc.bezierTools",
        "sources": [
            "Lib/fontTools/misc/bezierTools.py"
        ]
    },
    "module_name": "fontTools.misc.bezierTools"
}
END: Cython Metadata */

#ifndef PY_SSIZE_T_CLEAN
#define PY_SSIZE_T_CLEAN
#endif /* PY_SSIZE_T_CLEAN */
/* InitLimitedAPI */
#if defined(Py_LIMITED_API)
  #if !defined(CYTHON_LIMITED_API)
  #define CYTHON_LIMITED_API 1
  #endif
#elif defined(CYTHON_LIMITED_API)
  #ifdef _MSC_VER
  #pragma message ("Limited API usage is enabled with 'CYTHON_LIMITED_API' but 'Py_LIMITED_API' does not define a Python target version. Consider setting 'Py_LIMITED_API' instead.")
  #else
  #warning Limited API usage is enabled with 'CYTHON_LIMITED_API' but 'Py_LIMITED_API' does not define a Python target version. Consider setting 'Py_LIMITED_API' instead.
  #endif
#endif

#include "Python.h"
#ifndef Py_PYTHON_H
    #error Python headers needed to compile C extensions, please install development version of Python.
#elif PY_VERSION_HEX < 0x03080000
    #error Cython requires Python 3.8+.
#else
#define __PYX_ABI_VERSION "3_2_4"
#define CYTHON_HEX_VERSION 0x030204F0
#define CYTHON_FUTURE_DIVISION 1
/* CModulePreamble */
#include <stddef.h>
#ifndef offsetof
  #define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
#endif
#if !defined(_WIN32) && !defined(WIN32) && !defined(MS_WINDOWS)
  #ifndef __stdcall
    #define __stdcall
  #endif
  #ifndef __cdecl
    #define __cdecl
  #endif
  #ifndef __fastcall
    #define __fastcall
  #endif
#endif
#ifndef DL_IMPORT
  #define DL_IMPORT(t) t
#endif
#ifndef DL_EXPORT
  #define DL_EXPORT(t) t
#endif
#define __PYX_COMMA ,
#ifndef PY_LONG_LONG
  #define PY_LONG_LONG LONG_LONG
#endif
#ifndef Py_HUGE_VAL
  #define Py_HUGE_VAL HUGE_VAL
#endif
#define __PYX_LIMITED_VERSION_HEX PY_VERSION_HEX
#if defined(GRAALVM_PYTHON)
  /* For very preliminary testing purposes. Most variables are set the same as PyPy.
     The existence of this section does not imply that anything works or is even tested */
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #define CYTHON_COMPILING_IN_GRAAL 1
  #define CYTHON_COMPILING_IN_CPYTHON_FREETHREADING 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #undef CYTHON_USE_TYPE_SPECS
  #define CYTHON_USE_TYPE_SPECS 0
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #undef CYTHON_AVOID_BORROWED_REFS
  #define CYTHON_AVOID_BORROWED_REFS 1
  #undef CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
  #define CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS 0
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_ASSUME_SAFE_SIZE
  #define CYTHON_ASSUME_SAFE_SIZE 0
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_GIL
  #define CYTHON_FAST_GIL 0
  #undef CYTHON_METH_FASTCALL
  #define CYTHON_METH_FASTCALL 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 1
  #endif
  #undef CYTHON_PEP489_MULTI_PHASE_INIT
  #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #undef CYTHON_USE_MODULE_STATE
  #define CYTHON_USE_MODULE_STATE 0
  #undef CYTHON_USE_SYS_MONITORING
  #define CYTHON_USE_SYS_MONITORING 0
  #undef CYTHON_USE_TP_FINALIZE
  #define CYTHON_USE_TP_FINALIZE 0
  #undef CYTHON_USE_AM_SEND
  #define CYTHON_USE_AM_SEND 0
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 1
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 0
  #endif
  #undef CYTHON_USE_FREELISTS
  #define CYTHON_USE_FREELISTS 0
  #undef CYTHON_IMMORTAL_CONSTANTS
  #define CYTHON_IMMORTAL_CONSTANTS 0
#elif defined(PYPY_VERSION)
  #define CYTHON_COMPILING_IN_PYPY 1
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #define CYTHON_COMPILING_IN_GRAAL 0
  #define CYTHON_COMPILING_IN_CPYTHON_FREETHREADING 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 1
  #ifndef CYTHON_USE_TYPE_SPECS
    #define CYTHON_USE_TYPE_SPECS 0
  #endif
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #undef CYTHON_AVOID_BORROWED_REFS
  #define CYTHON_AVOID_BORROWED_REFS 1
  #undef CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
  #define CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS 1
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #ifndef CYTHON_ASSUME_SAFE_SIZE
    #define CYTHON_ASSUME_SAFE_SIZE 1
  #endif
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_GIL
  #define CYTHON_FAST_GIL 0
  #undef CYTHON_METH_FASTCALL
  #define CYTHON_METH_FASTCALL 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 1
  #endif
  #if PY_VERSION_HEX < 0x03090000
    #undef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #elif !defined(CYTHON_PEP489_MULTI_PHASE_INIT)
    #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #endif
  #undef CYTHON_USE_MODULE_STATE
  #define CYTHON_USE_MODULE_STATE 0
  #undef CYTHON_USE_SYS_MONITORING
  #define CYTHON_USE_SYS_MONITORING 0
  #ifndef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE (PYPY_VERSION_NUM >= 0x07030C00)
  #endif
  #undef CYTHON_USE_AM_SEND
  #define CYTHON_USE_AM_SEND 0
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 0
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC (PYPY_VERSION_NUM >= 0x07031100)
  #endif
  #undef CYTHON_USE_FREELISTS
  #define CYTHON_USE_FREELISTS 0
  #undef CYTHON_IMMORTAL_CONSTANTS
  #define CYTHON_IMMORTAL_CONSTANTS 0
#elif defined(CYTHON_LIMITED_API)
  #ifdef Py_LIMITED_API
    #undef __PYX_LIMITED_VERSION_HEX
    #define __PYX_LIMITED_VERSION_HEX Py_LIMITED_API
  #endif
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 1
  #define CYTHON_COMPILING_IN_GRAAL 0
  #define CYTHON_COMPILING_IN_CPYTHON_FREETHREADING 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #undef CYTHON_USE_TYPE_SPECS
  #define CYTHON_USE_TYPE_SPECS 1
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #ifndef CYTHON_USE_UNICODE_WRITER
    #define CYTHON_USE_UNICODE_WRITER 0
  #endif
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
  #endif
  #ifndef CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
    #define CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS 0
  #endif
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_ASSUME_SAFE_SIZE
  #define CYTHON_ASSUME_SAFE_SIZE 0
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_GIL
  #define CYTHON_FAST_GIL 0
  #undef CYTHON_METH_FASTCALL
  #define CYTHON_METH_FASTCALL (__PYX_LIMITED_VERSION_HEX >= 0x030C0000)
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 1
  #endif
  #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #endif
  #ifndef CYTHON_USE_MODULE_STATE
    #define CYTHON_USE_MODULE_STATE 0
  #endif
  #undef CYTHON_USE_SYS_MONITORING
  #define CYTHON_USE_SYS_MONITORING 0
  #ifndef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 0
  #endif
  #ifndef CYTHON_USE_AM_SEND
    #define CYTHON_USE_AM_SEND (__PYX_LIMITED_VERSION_HEX >= 0x030A0000)
  #endif
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 0
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 0
  #endif
  #ifndef CYTHON_USE_FREELISTS
  #define CYTHON_USE_FREELISTS 1
  #endif
  #undef CYTHON_IMMORTAL_CONSTANTS
  #define CYTHON_IMMORTAL_CONSTANTS 0
#else
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 1
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #define CYTHON_COMPILING_IN_GRAAL 0
  #ifdef Py_GIL_DISABLED
    #define CYTHON_COMPILING_IN_CPYTHON_FREETHREADING 1
  #else
    #define CYTHON_COMPILING_IN_CPYTHON_FREETHREADING 0
  #endif
  #if PY_VERSION_HEX < 0x030A0000
    #undef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
  #elif !defined(CYTHON_USE_TYPE_SLOTS)
    #define CYTHON_USE_TYPE_SLOTS 1
  #endif
  #ifndef CYTHON_USE_TYPE_SPECS
    #define CYTHON_USE_TYPE_SPECS 0
  #endif
  #ifndef CYTHON_USE_PYTYPE_LOOKUP
    #define CYTHON_USE_PYTYPE_LOOKUP 1
  #endif
  #ifndef CYTHON_USE_PYLONG_INTERNALS
    #define CYTHON_USE_PYLONG_INTERNALS 1
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    #undef CYTHON_USE_PYLIST_INTERNALS
    #define CYTHON_USE_PYLIST_INTERNALS 0
  #elif !defined(CYTHON_USE_PYLIST_INTERNALS)
    #define CYTHON_USE_PYLIST_INTERNALS 1
  #endif
  #ifndef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 1
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING || PY_VERSION_HEX >= 0x030B00A2
    #undef CYTHON_USE_UNICODE_WRITER
    #define CYTHON_USE_UNICODE_WRITER 0
  #elif !defined(CYTHON_USE_UNICODE_WRITER)
    #define CYTHON_USE_UNICODE_WRITER 1
  #endif
  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    #undef CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
    #define CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS 1
  #elif !defined(CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS)
    #define CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS 0
  #endif
  #ifndef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 1
  #endif
  #ifndef CYTHON_ASSUME_SAFE_SIZE
    #define CYTHON_ASSUME_SAFE_SIZE 1
  #endif
  #ifndef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 1
  #endif
  #ifndef CYTHON_FAST_THREAD_STATE
    #define CYTHON_FAST_THREAD_STATE 1
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    #undef CYTHON_FAST_GIL
    #define CYTHON_FAST_GIL 0
  #elif !defined(CYTHON_FAST_GIL)
    #define CYTHON_FAST_GIL (PY_VERSION_HEX < 0x030C00A6)
  #endif
  #ifndef CYTHON_METH_FASTCALL
    #define CYTHON_METH_FASTCALL 1
  #endif
  #ifndef CYTHON_FAST_PYCALL
    #define CYTHON_FAST_PYCALL 1
  #endif
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 1
  #endif
  #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #endif
  #ifndef CYTHON_USE_MODULE_STATE
    #define CYTHON_USE_MODULE_STATE 0
  #endif
  #ifndef CYTHON_USE_SYS_MONITORING
    #define CYTHON_USE_SYS_MONITORING (PY_VERSION_HEX >= 0x030d00B1)
  #endif
  #ifndef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 1
  #endif
  #ifndef CYTHON_USE_AM_SEND
    #define CYTHON_USE_AM_SEND 1
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    #undef CYTHON_USE_DICT_VERSIONS
    #define CYTHON_USE_DICT_VERSIONS 0
  #elif !defined(CYTHON_USE_DICT_VERSIONS)
    #define CYTHON_USE_DICT_VERSIONS  (PY_VERSION_HEX < 0x030C00A5 && !CYTHON_USE_MODULE_STATE)
  #endif
  #ifndef CYTHON_USE_EXC_INFO_STACK
    #define CYTHON_USE_EXC_INFO_STACK 1
  #endif
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 1
  #endif
  #ifndef CYTHON_USE_FREELISTS
    #define CYTHON_USE_FREELISTS (!CYTHON_COMPILING_IN_CPYTHON_FREETHREADING)
  #endif
  #if defined(CYTHON_IMMORTAL_CONSTANTS) && PY_VERSION_HEX < 0x030C0000
    #undef CYTHON_IMMORTAL_CONSTANTS
    #define CYTHON_IMMORTAL_CONSTANTS 0  // definitely won't work
  #elif !defined(CYTHON_IMMORTAL_CONSTANTS)
    #define CYTHON_IMMORTAL_CONSTANTS (PY_VERSION_HEX >= 0x030C0000 && !CYTHON_USE_MODULE_STATE && CYTHON_COMPILING_IN_CPYTHON_FREETHREADING)
  #endif
#endif
#ifndef CYTHON_COMPRESS_STRINGS
  #define CYTHON_COMPRESS_STRINGS 1
#endif
#ifndef CYTHON_FAST_PYCCALL
#define CYTHON_FAST_PYCCALL  CYTHON_FAST_PYCALL
#endif
#ifndef CYTHON_VECTORCALL
#if CYTHON_COMPILING_IN_LIMITED_API
#define CYTHON_VECTORCALL  (__PYX_LIMITED_VERSION_HEX >= 0x030C0000)
#else
#define CYTHON_VECTORCALL  (CYTHON_FAST_PYCCALL)
#endif
#endif
#if CYTHON_USE_PYLONG_INTERNALS
  #undef SHIFT
  #undef BASE
  #undef MASK
  #ifdef SIZEOF_VOID_P
    enum { __pyx_check_sizeof_voidp = 1 / (int)(SIZEOF_VOID_P == sizeof(void*)) };
  #endif
#endif
#ifndef __has_attribute
  #define __has_attribute(x) 0
#endif
#ifndef __has_cpp_attribute
  #define __has_cpp_attribute(x) 0
#endif
#ifndef CYTHON_RESTRICT
  #if defined(__GNUC__)
    #define CYTHON_RESTRICT __restrict__
  #elif defined(_MSC_VER) && _MSC_VER >= 1400
    #define CYTHON_RESTRICT __restrict
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_RESTRICT restrict
  #else
    #define CYTHON_RESTRICT
  #endif
#endif
#ifndef CYTHON_UNUSED
  #if defined(__cplusplus)
    /* for clang __has_cpp_attribute(maybe_unused) is true even before C++17
     * but leads to warnings with -pedantic, since it is a C++17 feature */
    #if ((defined(_MSVC_LANG) && _MSVC_LANG >= 201703L) || __cplusplus >= 201703L)
      #if __has_cpp_attribute(maybe_unused)
        #define CYTHON_UNUSED [[maybe_unused]]
      #endif
    #endif
  #endif
#endif
#ifndef CYTHON_UNUSED
# if defined(__GNUC__)
#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
#     define CYTHON_UNUSED __attribute__ ((__unused__))
#   else
#     define CYTHON_UNUSED
#   endif
# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
#   define CYTHON_UNUSED __attribute__ ((__unused__))
# else
#   define CYTHON_UNUSED
# endif
#endif
#ifndef CYTHON_UNUSED_VAR
#  if defined(__cplusplus)
     template<class T> void CYTHON_UNUSED_VAR( const T& ) { }
#  else
#    define CYTHON_UNUSED_VAR(x) (void)(x)
#  endif
#endif
#ifndef CYTHON_MAYBE_UNUSED_VAR
  #define CYTHON_MAYBE_UNUSED_VAR(x) CYTHON_UNUSED_VAR(x)
#endif
#ifndef CYTHON_NCP_UNUSED
# if CYTHON_COMPILING_IN_CPYTHON && !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
#  define CYTHON_NCP_UNUSED
# else
#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
# endif
#endif
#ifndef CYTHON_USE_CPP_STD_MOVE
  #if defined(__cplusplus) && (\
    __cplusplus >= 201103L || (defined(_MSC_VER) && _MSC_VER >= 1600))
    #define CYTHON_USE_CPP_STD_MOVE 1
  #else
    #define CYTHON_USE_CPP_STD_MOVE 0
  #endif
#endif
#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
#include <stdint.h>
typedef uintptr_t  __pyx_uintptr_t;
#ifndef CYTHON_FALLTHROUGH
  #if defined(__cplusplus)
    /* for clang __has_cpp_attribute(fallthrough) is true even before C++17
     * but leads to warnings with -pedantic, since it is a C++17 feature */
    #if ((defined(_MSVC_LANG) && _MSVC_LANG >= 201703L) || __cplusplus >= 201703L)
      #if __has_cpp_attribute(fallthrough)
        #define CYTHON_FALLTHROUGH [[fallthrough]]
      #endif
    #endif
    #ifndef CYTHON_FALLTHROUGH
      #if __has_cpp_attribute(clang::fallthrough)
        #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
      #elif __has_cpp_attribute(gnu::fallthrough)
        #define CYTHON_FALLTHROUGH [[gnu::fallthrough]]
      #endif
    #endif
  #endif
  #ifndef CYTHON_FALLTHROUGH
    #if __has_attribute(fallthrough)
      #define CYTHON_FALLTHROUGH __attribute__((fallthrough))
    #else
      #define CYTHON_FALLTHROUGH
    #endif
  #endif
  #if defined(__clang__) && defined(__apple_build_version__)
    #if __apple_build_version__ < 7000000
      #undef  CYTHON_FALLTHROUGH
      #define CYTHON_FALLTHROUGH
    #endif
  #endif
#endif
#ifndef Py_UNREACHABLE
  #define Py_UNREACHABLE()  assert(0); abort()
#endif
#ifdef __cplusplus
  template <typename T>
  struct __PYX_IS_UNSIGNED_IMPL {static const bool value = T(0) < T(-1);};
  #define __PYX_IS_UNSIGNED(type) (__PYX_IS_UNSIGNED_IMPL<type>::value)
#else
  #define __PYX_IS_UNSIGNED(type) (((type)-1) > 0)
#endif
#if CYTHON_COMPILING_IN_PYPY == 1
  #define __PYX_NEED_TP_PRINT_SLOT  (PY_VERSION_HEX < 0x030A0000)
#else
  #define __PYX_NEED_TP_PRINT_SLOT  (PY_VERSION_HEX < 0x03090000)
#endif
#define __PYX_REINTERPRET_FUNCION(func_pointer, other_pointer) ((func_pointer)(void(*)(void))(other_pointer))

/* CInitCode */
#ifndef CYTHON_INLINE
  #if defined(__clang__)
    #define CYTHON_INLINE __inline__ __attribute__ ((__unused__))
  #elif defined(__GNUC__)
    #define CYTHON_INLINE __inline__
  #elif defined(_MSC_VER)
    #define CYTHON_INLINE __inline
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_INLINE inline
  #else
    #define CYTHON_INLINE
  #endif
#endif

/* PythonCompatibility */
#define __PYX_BUILD_PY_SSIZE_T "n"
#define CYTHON_FORMAT_SSIZE_T "z"
#define __Pyx_BUILTIN_MODULE_NAME "builtins"
#define __Pyx_DefaultClassType PyType_Type
#if CYTHON_COMPILING_IN_LIMITED_API
    #ifndef CO_OPTIMIZED
    static int CO_OPTIMIZED;
    #endif
    #ifndef CO_NEWLOCALS
    static int CO_NEWLOCALS;
    #endif
    #ifndef CO_VARARGS
    static int CO_VARARGS;
    #endif
    #ifndef CO_VARKEYWORDS
    static int CO_VARKEYWORDS;
    #endif
    #ifndef CO_ASYNC_GENERATOR
    static int CO_ASYNC_GENERATOR;
    #endif
    #ifndef CO_GENERATOR
    static int CO_GENERATOR;
    #endif
    #ifndef CO_COROUTINE
    static int CO_COROUTINE;
    #endif
#else
    #ifndef CO_COROUTINE
      #define CO_COROUTINE 0x80
    #endif
    #ifndef CO_ASYNC_GENERATOR
      #define CO_ASYNC_GENERATOR 0x200
    #endif
#endif
static int __Pyx_init_co_variables(void);
#if PY_VERSION_HEX >= 0x030900A4 || defined(Py_IS_TYPE)
  #define __Pyx_IS_TYPE(ob, type) Py_IS_TYPE(ob, type)
#else
  #define __Pyx_IS_TYPE(ob, type) (((const PyObject*)ob)->ob_type == (type))
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_Is)
  #define __Pyx_Py_Is(x, y)  Py_Is(x, y)
#else
  #define __Pyx_Py_Is(x, y) ((x) == (y))
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsNone)
  #define __Pyx_Py_IsNone(ob) Py_IsNone(ob)
#else
  #define __Pyx_Py_IsNone(ob) __Pyx_Py_Is((ob), Py_None)
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsTrue)
  #define __Pyx_Py_IsTrue(ob) Py_IsTrue(ob)
#else
  #define __Pyx_Py_IsTrue(ob) __Pyx_Py_Is((ob), Py_True)
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsFalse)
  #define __Pyx_Py_IsFalse(ob) Py_IsFalse(ob)
#else
  #define __Pyx_Py_IsFalse(ob) __Pyx_Py_Is((ob), Py_False)
#endif
#define __Pyx_NoneAsNull(obj)  (__Pyx_Py_IsNone(obj) ? NULL : (obj))
#if PY_VERSION_HEX >= 0x030900F0 && !CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyObject_GC_IsFinalized(o) PyObject_GC_IsFinalized(o)
#else
  #define __Pyx_PyObject_GC_IsFinalized(o) _PyGC_FINALIZED(o)
#endif
#ifndef Py_TPFLAGS_CHECKTYPES
  #define Py_TPFLAGS_CHECKTYPES 0
#endif
#ifndef Py_TPFLAGS_HAVE_INDEX
  #define Py_TPFLAGS_HAVE_INDEX 0
#endif
#ifndef Py_TPFLAGS_HAVE_NEWBUFFER
  #define Py_TPFLAGS_HAVE_NEWBUFFER 0
#endif
#ifndef Py_TPFLAGS_HAVE_FINALIZE
  #define Py_TPFLAGS_HAVE_FINALIZE 0
#endif
#ifndef Py_TPFLAGS_SEQUENCE
  #define Py_TPFLAGS_SEQUENCE 0
#endif
#ifndef Py_TPFLAGS_MAPPING
  #define Py_TPFLAGS_MAPPING 0
#endif
#ifndef Py_TPFLAGS_IMMUTABLETYPE
  #define Py_TPFLAGS_IMMUTABLETYPE (1UL << 8)
#endif
#ifndef Py_TPFLAGS_DISALLOW_INSTANTIATION
  #define Py_TPFLAGS_DISALLOW_INSTANTIATION (1UL << 7)
#endif
#ifndef METH_STACKLESS
  #define METH_STACKLESS 0
#endif
#ifndef METH_FASTCALL
  #ifndef METH_FASTCALL
     #define METH_FASTCALL 0x80
  #endif
  typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs);
  typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
                                                          Py_ssize_t nargs, PyObject *kwnames);
#else
  #if PY_VERSION_HEX >= 0x030d00A4
  #  define __Pyx_PyCFunctionFast PyCFunctionFast
  #  define __Pyx_PyCFunctionFastWithKeywords PyCFunctionFastWithKeywords
  #else
  #  define __Pyx_PyCFunctionFast _PyCFunctionFast
  #  define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
  #endif
#endif
#if CYTHON_METH_FASTCALL
  #define __Pyx_METH_FASTCALL METH_FASTCALL
  #define __Pyx_PyCFunction_FastCall __Pyx_PyCFunctionFast
  #define __Pyx_PyCFunction_FastCallWithKeywords __Pyx_PyCFunctionFastWithKeywords
#else
  #define __Pyx_METH_FASTCALL METH_VARARGS
  #define __Pyx_PyCFunction_FastCall PyCFunction
  #define __Pyx_PyCFunction_FastCallWithKeywords PyCFunctionWithKeywords
#endif
#if CYTHON_VECTORCALL
  #define __pyx_vectorcallfunc vectorcallfunc
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  PY_VECTORCALL_ARGUMENTS_OFFSET
  #define __Pyx_PyVectorcall_NARGS(n)  PyVectorcall_NARGS((size_t)(n))
#else
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  0
  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(n))
#endif
#if PY_VERSION_HEX >= 0x030900B1
#define __Pyx_PyCFunction_CheckExact(func)  PyCFunction_CheckExact(func)
#else
#define __Pyx_PyCFunction_CheckExact(func)  PyCFunction_Check(func)
#endif
#define __Pyx_CyOrPyCFunction_Check(func)  PyCFunction_Check(func)
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_CyOrPyCFunction_GET_FUNCTION(func)  (((PyCFunctionObject*)(func))->m_ml->ml_meth)
#elif !CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_CyOrPyCFunction_GET_FUNCTION(func)  PyCFunction_GET_FUNCTION(func)
#endif
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_CyOrPyCFunction_GET_FLAGS(func)  (((PyCFunctionObject*)(func))->m_ml->ml_flags)
static CYTHON_INLINE PyObject* __Pyx_CyOrPyCFunction_GET_SELF(PyObject *func) {
    return (__Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_STATIC) ? NULL : ((PyCFunctionObject*)func)->m_self;
}
#endif
static CYTHON_INLINE int __Pyx__IsSameCFunction(PyObject *func, void (*cfunc)(void)) {
#if CYTHON_COMPILING_IN_LIMITED_API
    return PyCFunction_Check(func) && PyCFunction_GetFunction(func) == (PyCFunction) cfunc;
#else
    return PyCFunction_Check(func) && PyCFunction_GET_FUNCTION(func) == (PyCFunction) cfunc;
#endif
}
#define __Pyx_IsSameCFunction(func, cfunc)   __Pyx__IsSameCFunction(func, cfunc)
#if PY_VERSION_HEX < 0x03090000 || (CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000)
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  ((void)m, PyType_FromSpecWithBases(s, b))
  typedef PyObject *(*__Pyx_PyCMethod)(PyObject *, PyTypeObject *, PyObject *const *, size_t, PyObject *);
#else
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  PyType_FromModuleAndSpec(m, s, b)
  #define __Pyx_PyCMethod  PyCMethod
#endif
#ifndef METH_METHOD
  #define METH_METHOD 0x200
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)
  #define PyObject_Malloc(s)   PyMem_Malloc(s)
  #define PyObject_Free(p)     PyMem_Free(p)
  #define PyObject_Realloc(p)  PyMem_Realloc(p)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)
#elif CYTHON_COMPILING_IN_GRAAL && defined(GRAALPY_VERSION_NUM) && GRAALPY_VERSION_NUM > 0x19000000
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) GraalPyFrame_SetLineNumber((frame), (lineno))
#elif CYTHON_COMPILING_IN_GRAAL
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) _PyFrame_SetLineNumber((frame), (lineno))
#else
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyThreadState_Current PyThreadState_Get()
#elif !CYTHON_FAST_THREAD_STATE
  #define __Pyx_PyThreadState_Current PyThreadState_GET()
#elif PY_VERSION_HEX >= 0x030d00A1
  #define __Pyx_PyThreadState_Current PyThreadState_GetUnchecked()
#else
  #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()
#endif
#if CYTHON_USE_MODULE_STATE
static CYTHON_INLINE void *__Pyx__PyModule_GetState(PyObject *op)
{
    void *result;
    result = PyModule_GetState(op);
    if (!result)
        Py_FatalError("Couldn't find the module state");
    return result;
}
#define __Pyx_PyModule_GetState(o) (__pyx_mstatetype *)__Pyx__PyModule_GetState(o)
#else
#define __Pyx_PyModule_GetState(op) ((void)op,__pyx_mstate_global)
#endif
#define __Pyx_PyObject_GetSlot(obj, name, func_ctype)  __Pyx_PyType_GetSlot(Py_TYPE((PyObject *) obj), name, func_ctype)
#define __Pyx_PyObject_TryGetSlot(obj, name, func_ctype) __Pyx_PyType_TryGetSlot(Py_TYPE(obj), name, func_ctype)
#define __Pyx_PyObject_GetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_GetSubSlot(Py_TYPE(obj), sub, name, func_ctype)
#define __Pyx_PyObject_TryGetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_TryGetSubSlot(Py_TYPE(obj), sub, name, func_ctype)
#if CYTHON_USE_TYPE_SLOTS
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((type)->name)
  #define __Pyx_PyType_TryGetSlot(type, name, func_ctype) __Pyx_PyType_GetSlot(type, name, func_ctype)
  #define __Pyx_PyType_GetSubSlot(type, sub, name, func_ctype) (((type)->sub) ? ((type)->sub->name) : NULL)
  #define __Pyx_PyType_TryGetSubSlot(type, sub, name, func_ctype) __Pyx_PyType_GetSubSlot(type, sub, name, func_ctype)
#else
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((func_ctype) PyType_GetSlot((type), Py_##name))
  #define __Pyx_PyType_TryGetSlot(type, name, func_ctype)\
    ((__PYX_LIMITED_VERSION_HEX >= 0x030A0000 ||\
     (PyType_GetFlags(type) & Py_TPFLAGS_HEAPTYPE) || __Pyx_get_runtime_version() >= 0x030A0000) ?\
     __Pyx_PyType_GetSlot(type, name, func_ctype) : NULL)
  #define __Pyx_PyType_GetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_GetSlot(obj, name, func_ctype)
  #define __Pyx_PyType_TryGetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_TryGetSlot(obj, name, func_ctype)
#endif
#if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized)
#define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
#else
#define __Pyx_PyDict_NewPresized(n)  PyDict_New()
#endif
#define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
#define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_UNICODE_INTERNALS
#define __Pyx_PyDict_GetItemStrWithError(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStr(PyObject *dict, PyObject *name) {
    PyObject *res = __Pyx_PyDict_GetItemStrWithError(dict, name);
    if (res == NULL) PyErr_Clear();
    return res;
}
#elif !CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07020000
#define __Pyx_PyDict_GetItemStrWithError  PyDict_GetItemWithError
#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
#else
static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStrWithError(PyObject *dict, PyObject *name) {
#if CYTHON_COMPILING_IN_PYPY
    return PyDict_GetItem(dict, name);
#else
    PyDictEntry *ep;
    PyDictObject *mp = (PyDictObject*) dict;
    long hash = ((PyStringObject *) name)->ob_shash;
    assert(hash != -1);
    ep = (mp->ma_lookup)(mp, name, hash);
    if (ep == NULL) {
        return NULL;
    }
    return ep->me_value;
#endif
}
#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
#endif
#if CYTHON_USE_TYPE_SLOTS
  #define __Pyx_PyType_GetFlags(tp)   (((PyTypeObject *)tp)->tp_flags)
  #define __Pyx_PyType_HasFeature(type, feature)  ((__Pyx_PyType_GetFlags(type) & (feature)) != 0)
#else
  #define __Pyx_PyType_GetFlags(tp)   (PyType_GetFlags((PyTypeObject *)tp))
  #define __Pyx_PyType_HasFeature(type, feature)  PyType_HasFeature(type, feature)
#endif
#define __Pyx_PyObject_GetIterNextFunc(iterator)  __Pyx_PyObject_GetSlot(iterator, tp_iternext, iternextfunc)
#if CYTHON_USE_TYPE_SPECS
#define __Pyx_PyHeapTypeObject_GC_Del(obj)  {\
    PyTypeObject *type = Py_TYPE((PyObject*)obj);\
    assert(__Pyx_PyType_HasFeature(type, Py_TPFLAGS_HEAPTYPE));\
    PyObject_GC_Del(obj);\
    Py_DECREF(type);\
}
#else
#define __Pyx_PyHeapTypeObject_GC_Del(obj)  PyObject_GC_Del(obj)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_ReadChar(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((void)u, 1114111U)
  #define __Pyx_PyUnicode_KIND(u)         ((void)u, (0))
  #define __Pyx_PyUnicode_DATA(u)         ((void*)u)
  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)k, PyUnicode_ReadChar((PyObject*)(d), i))
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GetLength(u))
#else
  #if PY_VERSION_HEX >= 0x030C0000
    #define __Pyx_PyUnicode_READY(op)       (0)
  #else
    #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
                                                0 : _PyUnicode_Ready((PyObject *)(op)))
  #endif
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
  #define __Pyx_PyUnicode_KIND(u)         ((int)PyUnicode_KIND(u))
  #define __Pyx_PyUnicode_DATA(u)         PyUnicode_DATA(u)
  #define __Pyx_PyUnicode_READ(k, d, i)   PyUnicode_READ(k, d, i)
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  PyUnicode_WRITE(k, d, i, (Py_UCS4) ch)
  #if PY_VERSION_HEX >= 0x030C0000
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_LENGTH(u))
  #else
    #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03090000
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : ((PyCompactUnicodeObject *)(u))->wstr_length))
    #else
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
    #endif
  #endif
#endif
#if CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  PyNumber_Add(a, b)
#else
  #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\
      PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b))
#endif
#if CYTHON_COMPILING_IN_PYPY
  #if !defined(PyUnicode_DecodeUnicodeEscape)
    #define PyUnicode_DecodeUnicodeEscape(s, size, errors)  PyUnicode_Decode(s, size, "unicode_escape", errors)
  #endif
  #if !defined(PyUnicode_Contains)
    #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
  #endif
  #if !defined(PyByteArray_Check)
    #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
  #endif
  #if !defined(PyObject_Format)
    #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
  #endif
#endif
#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  #define __Pyx_PySequence_ListKeepNew(obj)\
    (likely(PyList_CheckExact(obj) && PyUnstable_Object_IsUniquelyReferenced(obj)) ? __Pyx_NewRef(obj) : PySequence_List(obj))
#elif CYTHON_COMPILING_IN_CPYTHON
  #define __Pyx_PySequence_ListKeepNew(obj)\
    (likely(PyList_CheckExact(obj) && Py_REFCNT(obj) == 1) ? __Pyx_NewRef(obj) : PySequence_List(obj))
#else
  #define __Pyx_PySequence_ListKeepNew(obj)  PySequence_List(obj)
#endif
#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        __Pyx_IS_TYPE(obj, &PySet_Type)
#endif
#if PY_VERSION_HEX >= 0x030900A4
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_SET_REFCNT(obj, refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SET_SIZE(obj, size)
#else
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_REFCNT(obj) = (refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SIZE(obj) = (size)
#endif
enum __Pyx_ReferenceSharing {
  __Pyx_ReferenceSharing_DefinitelyUnique, // We created it so we know it's unshared - no need to check
  __Pyx_ReferenceSharing_OwnStrongReference,
  __Pyx_ReferenceSharing_FunctionArgument,
  __Pyx_ReferenceSharing_SharedReference, // Never trust it to be unshared because it's a global or similar
};
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && PY_VERSION_HEX >= 0x030E0000
#define __Pyx_IS_UNIQUELY_REFERENCED(o, sharing)\
    (sharing == __Pyx_ReferenceSharing_DefinitelyUnique ? 1 :\
      (sharing == __Pyx_ReferenceSharing_FunctionArgument ? PyUnstable_Object_IsUniqueReferencedTemporary(o) :\
      (sharing == __Pyx_ReferenceSharing_OwnStrongReference ? PyUnstable_Object_IsUniquelyReferenced(o) : 0)))
#elif (CYTHON_COMPILING_IN_CPYTHON && !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING) || CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_IS_UNIQUELY_REFERENCED(o, sharing) (((void)sharing), Py_REFCNT(o) == 1)
#else
#define __Pyx_IS_UNIQUELY_REFERENCED(o, sharing) (((void)o), ((void)sharing), 0)
#endif
#if CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
  #if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
    #define __Pyx_PyList_GetItemRef(o, i) PyList_GetItemRef(o, i)
  #elif CYTHON_COMPILING_IN_LIMITED_API || !CYTHON_ASSUME_SAFE_MACROS
    #define __Pyx_PyList_GetItemRef(o, i) (likely((i) >= 0) ? PySequence_GetItem(o, i) : (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
  #else
    #define __Pyx_PyList_GetItemRef(o, i) PySequence_ITEM(o, i)
  #endif
#elif CYTHON_COMPILING_IN_LIMITED_API || !CYTHON_ASSUME_SAFE_MACROS
  #if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
    #define __Pyx_PyList_GetItemRef(o, i) PyList_GetItemRef(o, i)
  #else
    #define __Pyx_PyList_GetItemRef(o, i) __Pyx_XNewRef(PyList_GetItem(o, i))
  #endif
#else
  #define __Pyx_PyList_GetItemRef(o, i) __Pyx_NewRef(PyList_GET_ITEM(o, i))
#endif
#if CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS && !CYTHON_COMPILING_IN_LIMITED_API && CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PyList_GetItemRefFast(o, i, unsafe_shared) (__Pyx_IS_UNIQUELY_REFERENCED(o, unsafe_shared) ?\
    __Pyx_NewRef(PyList_GET_ITEM(o, i)) : __Pyx_PyList_GetItemRef(o, i))
#else
  #define __Pyx_PyList_GetItemRefFast(o, i, unsafe_shared) __Pyx_PyList_GetItemRef(o, i)
#endif
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
#define __Pyx_PyDict_GetItemRef(dict, key, result) PyDict_GetItemRef(dict, key, result)
#elif CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
static CYTHON_INLINE int __Pyx_PyDict_GetItemRef(PyObject *dict, PyObject *key, PyObject **result) {
  *result = PyObject_GetItem(dict, key);
  if (*result == NULL) {
    if (PyErr_ExceptionMatches(PyExc_KeyError)) {
      PyErr_Clear();
      return 0;
    }
    return -1;
  }
  return 1;
}
#else
static CYTHON_INLINE int __Pyx_PyDict_GetItemRef(PyObject *dict, PyObject *key, PyObject **result) {
  *result = PyDict_GetItemWithError(dict, key);
  if (*result == NULL) {
    return PyErr_Occurred() ? -1 : 0;
  }
  Py_INCREF(*result);
  return 1;
}
#endif
#if defined(CYTHON_DEBUG_VISIT_CONST) && CYTHON_DEBUG_VISIT_CONST
  #define __Pyx_VISIT_CONST(obj)  Py_VISIT(obj)
#else
  #define __Pyx_VISIT_CONST(obj)
#endif
#if CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PySequence_ITEM(o, i) PySequence_ITEM(o, i)
  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
  #define __Pyx_PyTuple_SET_ITEM(o, i, v) (PyTuple_SET_ITEM(o, i, v), (0))
  #define __Pyx_PyTuple_GET_ITEM(o, i) PyTuple_GET_ITEM(o, i)
  #define __Pyx_PyList_SET_ITEM(o, i, v) (PyList_SET_ITEM(o, i, v), (0))
  #define __Pyx_PyList_GET_ITEM(o, i) PyList_GET_ITEM(o, i)
#else
  #define __Pyx_PySequence_ITEM(o, i) PySequence_GetItem(o, i)
  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
  #define __Pyx_PyTuple_SET_ITEM(o, i, v) PyTuple_SetItem(o, i, v)
  #define __Pyx_PyTuple_GET_ITEM(o, i) PyTuple_GetItem(o, i)
  #define __Pyx_PyList_SET_ITEM(o, i, v) PyList_SetItem(o, i, v)
  #define __Pyx_PyList_GET_ITEM(o, i) PyList_GetItem(o, i)
#endif
#if CYTHON_ASSUME_SAFE_SIZE
  #define __Pyx_PyTuple_GET_SIZE(o) PyTuple_GET_SIZE(o)
  #define __Pyx_PyList_GET_SIZE(o) PyList_GET_SIZE(o)
  #define __Pyx_PySet_GET_SIZE(o) PySet_GET_SIZE(o)
  #define __Pyx_PyBytes_GET_SIZE(o) PyBytes_GET_SIZE(o)
  #define __Pyx_PyByteArray_GET_SIZE(o) PyByteArray_GET_SIZE(o)
  #define __Pyx_PyUnicode_GET_LENGTH(o) PyUnicode_GET_LENGTH(o)
#else
  #define __Pyx_PyTuple_GET_SIZE(o) PyTuple_Size(o)
  #define __Pyx_PyList_GET_SIZE(o) PyList_Size(o)
  #define __Pyx_PySet_GET_SIZE(o) PySet_Size(o)
  #define __Pyx_PyBytes_GET_SIZE(o) PyBytes_Size(o)
  #define __Pyx_PyByteArray_GET_SIZE(o) PyByteArray_Size(o)
  #define __Pyx_PyUnicode_GET_LENGTH(o) PyUnicode_GetLength(o)
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_InternFromString)
  #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
#endif
#define __Pyx_PyLong_FromHash_t PyLong_FromSsize_t
#define __Pyx_PyLong_AsHash_t   __Pyx_PyIndex_AsSsize_t
#if __PYX_LIMITED_VERSION_HEX >= 0x030A0000
    #define __Pyx_PySendResult PySendResult
#else
    typedef enum {
        PYGEN_RETURN = 0,
        PYGEN_ERROR = -1,
        PYGEN_NEXT = 1,
    } __Pyx_PySendResult;
#endif
#if CYTHON_COMPILING_IN_LIMITED_API || PY_VERSION_HEX < 0x030A00A3
  typedef __Pyx_PySendResult (*__Pyx_pyiter_sendfunc)(PyObject *iter, PyObject *value, PyObject **result);
#else
  #define __Pyx_pyiter_sendfunc sendfunc
#endif
#if !CYTHON_USE_AM_SEND
#define __PYX_HAS_PY_AM_SEND 0
#elif __PYX_LIMITED_VERSION_HEX >= 0x030A0000
#define __PYX_HAS_PY_AM_SEND 1
#else
#define __PYX_HAS_PY_AM_SEND 2  // our own backported implementation
#endif
#if __PYX_HAS_PY_AM_SEND < 2
    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
#else
    typedef struct {
        unaryfunc am_await;
        unaryfunc am_aiter;
        unaryfunc am_anext;
        __Pyx_pyiter_sendfunc am_send;
    } __Pyx_PyAsyncMethodsStruct;
    #define __Pyx_SlotTpAsAsync(s) ((PyAsyncMethods*)(s))
#endif
#if CYTHON_USE_AM_SEND && PY_VERSION_HEX < 0x030A00F0
    #define __Pyx_TPFLAGS_HAVE_AM_SEND (1UL << 21)
#else
    #define __Pyx_TPFLAGS_HAVE_AM_SEND (0)
#endif
#if PY_VERSION_HEX >= 0x03090000
#define __Pyx_PyInterpreterState_Get() PyInterpreterState_Get()
#else
#define __Pyx_PyInterpreterState_Get() PyThreadState_Get()->interp
#endif
#if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030A0000
#ifdef __cplusplus
extern "C"
#endif
PyAPI_FUNC(void *) PyMem_Calloc(size_t nelem, size_t elsize);
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
static int __Pyx_init_co_variable(PyObject *inspect, const char* name, int *write_to) {
    int value;
    PyObject *py_value = PyObject_GetAttrString(inspect, name);
    if (!py_value) return 0;
    value = (int) PyLong_AsLong(py_value);
    Py_DECREF(py_value);
    *write_to = value;
    return value != -1 || !PyErr_Occurred();
}
static int __Pyx_init_co_variables(void) {
    PyObject *inspect;
    int result;
    inspect = PyImport_ImportModule("inspect");
    result =
#if !defined(CO_OPTIMIZED)
        __Pyx_init_co_variable(inspect, "CO_OPTIMIZED", &CO_OPTIMIZED) &&
#endif
#if !defined(CO_NEWLOCALS)
        __Pyx_init_co_variable(inspect, "CO_NEWLOCALS", &CO_NEWLOCALS) &&
#endif
#if !defined(CO_VARARGS)
        __Pyx_init_co_variable(inspect, "CO_VARARGS", &CO_VARARGS) &&
#endif
#if !defined(CO_VARKEYWORDS)
        __Pyx_init_co_variable(inspect, "CO_VARKEYWORDS", &CO_VARKEYWORDS) &&
#endif
#if !defined(CO_ASYNC_GENERATOR)
        __Pyx_init_co_variable(inspect, "CO_ASYNC_GENERATOR", &CO_ASYNC_GENERATOR) &&
#endif
#if !defined(CO_GENERATOR)
        __Pyx_init_co_variable(inspect, "CO_GENERATOR", &CO_GENERATOR) &&
#endif
#if !defined(CO_COROUTINE)
        __Pyx_init_co_variable(inspect, "CO_COROUTINE", &CO_COROUTINE) &&
#endif
        1;
    Py_DECREF(inspect);
    return result ? 0 : -1;
}
#else
static int __Pyx_init_co_variables(void) {
    return 0;  // It's a limited API-only feature
}
#endif

/* MathInitCode */
#if defined(_WIN32) || defined(WIN32) || defined(MS_WINDOWS)
  #ifndef _USE_MATH_DEFINES
    #define _USE_MATH_DEFINES
  #endif
#endif
#include <math.h>
#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
#define __Pyx_truncl trunc
#else
#define __Pyx_truncl truncl
#endif

#ifndef CYTHON_CLINE_IN_TRACEBACK_RUNTIME
#define CYTHON_CLINE_IN_TRACEBACK_RUNTIME 0
#endif
#ifndef CYTHON_CLINE_IN_TRACEBACK
#define CYTHON_CLINE_IN_TRACEBACK CYTHON_CLINE_IN_TRACEBACK_RUNTIME
#endif
#if CYTHON_CLINE_IN_TRACEBACK
#define __PYX_MARK_ERR_POS(f_index, lineno)  { __pyx_filename = __pyx_f[f_index]; (void) __pyx_filename; __pyx_lineno = lineno; (void) __pyx_lineno; __pyx_clineno = __LINE__; (void) __pyx_clineno; }
#else
#define __PYX_MARK_ERR_POS(f_index, lineno)  { __pyx_filename = __pyx_f[f_index]; (void) __pyx_filename; __pyx_lineno = lineno; (void) __pyx_lineno; (void) __pyx_clineno; }
#endif
#define __PYX_ERR(f_index, lineno, Ln_error) \
    { __PYX_MARK_ERR_POS(f_index, lineno) goto Ln_error; }

#ifdef CYTHON_EXTERN_C
    #undef __PYX_EXTERN_C
    #define __PYX_EXTERN_C CYTHON_EXTERN_C
#elif defined(__PYX_EXTERN_C)
    #ifdef _MSC_VER
    #pragma message ("Please do not define the '__PYX_EXTERN_C' macro externally. Use 'CYTHON_EXTERN_C' instead.")
    #else
    #warning Please do not define the '__PYX_EXTERN_C' macro externally. Use 'CYTHON_EXTERN_C' instead.
    #endif
#else
  #ifdef __cplusplus
    #define __PYX_EXTERN_C extern "C"
  #else
    #define __PYX_EXTERN_C extern
  #endif
#endif

#define __PYX_HAVE__fontTools__misc__bezierTools
#define __PYX_HAVE_API__fontTools__misc__bezierTools
/* Early includes */
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
#define CYTHON_WITHOUT_ASSERTIONS
#endif

#ifdef CYTHON_FREETHREADING_COMPATIBLE
#if CYTHON_FREETHREADING_COMPATIBLE
#define __Pyx_FREETHREADING_COMPATIBLE Py_MOD_GIL_NOT_USED
#else
#define __Pyx_FREETHREADING_COMPATIBLE Py_MOD_GIL_USED
#endif
#else
#define __Pyx_FREETHREADING_COMPATIBLE Py_MOD_GIL_USED
#endif
#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#define __Pyx_uchar_cast(c) ((unsigned char)c)
#define __Pyx_long_cast(x) ((long)x)
#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
    (sizeof(type) < sizeof(Py_ssize_t))  ||\
    (sizeof(type) > sizeof(Py_ssize_t) &&\
          likely(v < (type)PY_SSIZE_T_MAX ||\
                 v == (type)PY_SSIZE_T_MAX)  &&\
          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
                                v == (type)PY_SSIZE_T_MIN)))  ||\
    (sizeof(type) == sizeof(Py_ssize_t) &&\
          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
                               v == (type)PY_SSIZE_T_MAX)))  )
static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) {
    return (size_t) i < (size_t) limit;
}
#if defined (__cplusplus) && __cplusplus >= 201103L
    #include <cstdlib>
    #define __Pyx_sst_abs(value) std::abs(value)
#elif SIZEOF_INT >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) abs(value)
#elif SIZEOF_LONG >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) labs(value)
#elif defined (_MSC_VER)
    #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value))
#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define __Pyx_sst_abs(value) llabs(value)
#elif defined (__GNUC__)
    #define __Pyx_sst_abs(value) __builtin_llabs(value)
#else
    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
#endif
static CYTHON_INLINE Py_ssize_t __Pyx_ssize_strlen(const char *s);
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
static CYTHON_INLINE PyObject* __Pyx_PyByteArray_FromString(const char*);
#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
#define __Pyx_PyBytes_FromString        PyBytes_FromString
#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
#if CYTHON_ASSUME_SAFE_MACROS
    #define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AS_STRING(s))
    #define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AS_STRING(s))
    #define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AS_STRING(s))
    #define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AS_STRING(s))
    #define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AS_STRING(s))
    #define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AS_STRING(s))
    #define __Pyx_PyByteArray_AsString(s) PyByteArray_AS_STRING(s)
#else
    #define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AsString(s))
    #define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AsString(s))
    #define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AsString(s))
    #define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AsString(s))
    #define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AsString(s))
    #define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AsString(s))
    #define __Pyx_PyByteArray_AsString(s) PyByteArray_AsString(s)
#endif
#define __Pyx_PyObject_AsWritableString(s)    ((char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((const unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
#define __Pyx_PyUnicode_FromOrdinal(o)       PyUnicode_FromOrdinal((int)o)
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
static CYTHON_INLINE PyObject *__Pyx_NewRef(PyObject *obj) {
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030a0000 || defined(Py_NewRef)
    return Py_NewRef(obj);
#else
    Py_INCREF(obj);
    return obj;
#endif
}
static CYTHON_INLINE PyObject *__Pyx_XNewRef(PyObject *obj) {
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030a0000 || defined(Py_XNewRef)
    return Py_XNewRef(obj);
#else
    Py_XINCREF(obj);
    return obj;
#endif
}
static CYTHON_INLINE PyObject *__Pyx_Owned_Py_None(int b);
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b);
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_Long(PyObject* x);
#define __Pyx_PySequence_Tuple(obj)\
    (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyLong_FromSize_t(size_t);
static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject*);
#if CYTHON_ASSUME_SAFE_MACROS
#define __Pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
#define __Pyx_PyFloat_AS_DOUBLE(x) PyFloat_AS_DOUBLE(x)
#else
#define __Pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
#define __Pyx_PyFloat_AS_DOUBLE(x) PyFloat_AsDouble(x)
#endif
#define __Pyx_PyFloat_AsFloat(x) ((float) __Pyx_PyFloat_AsDouble(x))
#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
#if CYTHON_USE_PYLONG_INTERNALS
  #if PY_VERSION_HEX >= 0x030C00A7
  #ifndef _PyLong_SIGN_MASK
    #define _PyLong_SIGN_MASK 3
  #endif
  #ifndef _PyLong_NON_SIZE_BITS
    #define _PyLong_NON_SIZE_BITS 3
  #endif
  #define __Pyx_PyLong_Sign(x)  (((PyLongObject*)x)->long_value.lv_tag & _PyLong_SIGN_MASK)
  #define __Pyx_PyLong_IsNeg(x)  ((__Pyx_PyLong_Sign(x) & 2) != 0)
  #define __Pyx_PyLong_IsNonNeg(x)  (!__Pyx_PyLong_IsNeg(x))
  #define __Pyx_PyLong_IsZero(x)  (__Pyx_PyLong_Sign(x) & 1)
  #define __Pyx_PyLong_IsPos(x)  (__Pyx_PyLong_Sign(x) == 0)
  #define __Pyx_PyLong_CompactValueUnsigned(x)  (__Pyx_PyLong_Digits(x)[0])
  #define __Pyx_PyLong_DigitCount(x)  ((Py_ssize_t) (((PyLongObject*)x)->long_value.lv_tag >> _PyLong_NON_SIZE_BITS))
  #define __Pyx_PyLong_SignedDigitCount(x)\
        ((1 - (Py_ssize_t) __Pyx_PyLong_Sign(x)) * __Pyx_PyLong_DigitCount(x))
  #if defined(PyUnstable_Long_IsCompact) && defined(PyUnstable_Long_CompactValue)
    #define __Pyx_PyLong_IsCompact(x)     PyUnstable_Long_IsCompact((PyLongObject*) x)
    #define __Pyx_PyLong_CompactValue(x)  PyUnstable_Long_CompactValue((PyLongObject*) x)
  #else
    #define __Pyx_PyLong_IsCompact(x)     (((PyLongObject*)x)->long_value.lv_tag < (2 << _PyLong_NON_SIZE_BITS))
    #define __Pyx_PyLong_CompactValue(x)  ((1 - (Py_ssize_t) __Pyx_PyLong_Sign(x)) * (Py_ssize_t) __Pyx_PyLong_Digits(x)[0])
  #endif
  typedef Py_ssize_t  __Pyx_compact_pylong;
  typedef size_t  __Pyx_compact_upylong;
  #else
  #define __Pyx_PyLong_IsNeg(x)  (Py_SIZE(x) < 0)
  #define __Pyx_PyLong_IsNonNeg(x)  (Py_SIZE(x) >= 0)
  #define __Pyx_PyLong_IsZero(x)  (Py_SIZE(x) == 0)
  #define __Pyx_PyLong_IsPos(x)  (Py_SIZE(x) > 0)
  #define __Pyx_PyLong_CompactValueUnsigned(x)  ((Py_SIZE(x) == 0) ? 0 : __Pyx_PyLong_Digits(x)[0])
  #define __Pyx_PyLong_DigitCount(x)  __Pyx_sst_abs(Py_SIZE(x))
  #define __Pyx_PyLong_SignedDigitCount(x)  Py_SIZE(x)
  #define __Pyx_PyLong_IsCompact(x)  (Py_SIZE(x) == 0 || Py_SIZE(x) == 1 || Py_SIZE(x) == -1)
  #define __Pyx_PyLong_CompactValue(x)\
        ((Py_SIZE(x) == 0) ? (sdigit) 0 : ((Py_SIZE(x) < 0) ? -(sdigit)__Pyx_PyLong_Digits(x)[0] : (sdigit)__Pyx_PyLong_Digits(x)[0]))
  typedef sdigit  __Pyx_compact_pylong;
  typedef digit  __Pyx_compact_upylong;
  #endif
  #if PY_VERSION_HEX >= 0x030C00A5
  #define __Pyx_PyLong_Digits(x)  (((PyLongObject*)x)->long_value.ob_digit)
  #else
  #define __Pyx_PyLong_Digits(x)  (((PyLongObject*)x)->ob_digit)
  #endif
#endif
#if __PYX_DEFAULT_STRING_ENCODING_IS_UTF8
  #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
#elif __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
  #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeASCII(c_str, size, NULL)
#else
  #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
#endif


/* Test for GCC > 2.95 */
#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
  #define likely(x)   __builtin_expect(!!(x), 1)
  #define unlikely(x) __builtin_expect(!!(x), 0)
#else /* !__GNUC__ or GCC < 2.95 */
  #define likely(x)   (x)
  #define unlikely(x) (x)
#endif /* __GNUC__ */
/* PretendToInitialize */
#ifdef __cplusplus
#if __cplusplus > 201103L
#include <type_traits>
#endif
template <typename T>
static void __Pyx_pretend_to_initialize(T* ptr) {
#if __cplusplus > 201103L
    if ((std::is_trivially_default_constructible<T>::value))
#endif
        *ptr = T();
    (void)ptr;
}
#else
static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }
#endif


#if !CYTHON_USE_MODULE_STATE
static PyObject *__pyx_m = NULL;
#endif
static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * const __pyx_cfilenm = __FILE__;
static const char *__pyx_filename;

/* Header.proto */
#if !defined(CYTHON_CCOMPLEX)
  #if defined(__cplusplus)
    #define CYTHON_CCOMPLEX 1
  #elif (defined(_Complex_I) && !defined(_MSC_VER)) || ((defined (__STDC_VERSION__) && __STDC_VERSION__ >= 201112L) && !defined(__STDC_NO_COMPLEX__) && !defined(_MSC_VER))
    #define CYTHON_CCOMPLEX 1
  #else
    #define CYTHON_CCOMPLEX 0
  #endif
#endif
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #include <complex>
  #else
    #include <complex.h>
  #endif
#endif
#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)
  #undef _Complex_I
  #define _Complex_I 1.0fj
#endif

/* #### Code section: filename_table ### */

static const char* const __pyx_f[] = {
  "Lib/fontTools/misc/bezierTools.py",
};
/* #### Code section: utility_code_proto_before_types ### */
/* Atomics.proto (used by UnpackUnboundCMethod) */
#include <pythread.h>
#ifndef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 1
#endif
#define __PYX_CYTHON_ATOMICS_ENABLED() CYTHON_ATOMICS
#define __PYX_GET_CYTHON_COMPILING_IN_CPYTHON_FREETHREADING() CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
#define __pyx_atomic_int_type int
#define __pyx_nonatomic_int_type int
#if CYTHON_ATOMICS && (defined(__STDC_VERSION__) &&\
                        (__STDC_VERSION__ >= 201112L) &&\
                        !defined(__STDC_NO_ATOMICS__))
    #include <stdatomic.h>
#elif CYTHON_ATOMICS && (defined(__cplusplus) && (\
                    (__cplusplus >= 201103L) ||\
                    (defined(_MSC_VER) && _MSC_VER >= 1700)))
    #include <atomic>
#endif
#if CYTHON_ATOMICS && (defined(__STDC_VERSION__) &&\
                        (__STDC_VERSION__ >= 201112L) &&\
                        !defined(__STDC_NO_ATOMICS__) &&\
                       ATOMIC_INT_LOCK_FREE == 2)
    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type atomic_int
    #define __pyx_atomic_ptr_type atomic_uintptr_t
    #define __pyx_nonatomic_ptr_type uintptr_t
    #define __pyx_atomic_incr_relaxed(value) atomic_fetch_add_explicit(value, 1, memory_order_relaxed)
    #define __pyx_atomic_incr_acq_rel(value) atomic_fetch_add_explicit(value, 1, memory_order_acq_rel)
    #define __pyx_atomic_decr_acq_rel(value) atomic_fetch_sub_explicit(value, 1, memory_order_acq_rel)
    #define __pyx_atomic_sub(value, arg) atomic_fetch_sub(value, arg)
    #define __pyx_atomic_int_cmp_exchange(value, expected, desired) atomic_compare_exchange_strong(value, expected, desired)
    #define __pyx_atomic_load(value) atomic_load(value)
    #define __pyx_atomic_store(value, new_value) atomic_store(value, new_value)
    #define __pyx_atomic_pointer_load_relaxed(value) atomic_load_explicit(value, memory_order_relaxed)
    #define __pyx_atomic_pointer_load_acquire(value) atomic_load_explicit(value, memory_order_acquire)
    #define __pyx_atomic_pointer_exchange(value, new_value) atomic_exchange(value, (__pyx_nonatomic_ptr_type)new_value)
    #define __pyx_atomic_pointer_cmp_exchange(value, expected, desired) atomic_compare_exchange_strong(value, expected, desired)
    #if defined(__PYX_DEBUG_ATOMICS) && defined(_MSC_VER)
        #pragma message ("Using standard C atomics")
    #elif defined(__PYX_DEBUG_ATOMICS)
        #warning "Using standard C atomics"
    #endif
#elif CYTHON_ATOMICS && (defined(__cplusplus) && (\
                    (__cplusplus >= 201103L) ||\
\
                    (defined(_MSC_VER) && _MSC_VER >= 1700)) &&\
                    ATOMIC_INT_LOCK_FREE == 2)
    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type std::atomic_int
    #define __pyx_atomic_ptr_type std::atomic_uintptr_t
    #define __pyx_nonatomic_ptr_type uintptr_t
    #define __pyx_atomic_incr_relaxed(value) std::atomic_fetch_add_explicit(value, 1, std::memory_order_relaxed)
    #define __pyx_atomic_incr_acq_rel(value) std::atomic_fetch_add_explicit(value, 1, std::memory_order_acq_rel)
    #define __pyx_atomic_decr_acq_rel(value) std::atomic_fetch_sub_explicit(value, 1, std::memory_order_acq_rel)
    #define __pyx_atomic_sub(value, arg) std::atomic_fetch_sub(value, arg)
    #define __pyx_atomic_int_cmp_exchange(value, expected, desired) std::atomic_compare_exchange_strong(value, expected, desired)
    #define __pyx_atomic_load(value) std::atomic_load(value)
    #define __pyx_atomic_store(value, new_value) std::atomic_store(value, new_value)
    #define __pyx_atomic_pointer_load_relaxed(value) std::atomic_load_explicit(value, std::memory_order_relaxed)
    #define __pyx_atomic_pointer_load_acquire(value) std::atomic_load_explicit(value, std::memory_order_acquire)
    #define __pyx_atomic_pointer_exchange(value, new_value) std::atomic_exchange(value, (__pyx_nonatomic_ptr_type)new_value)
    #define __pyx_atomic_pointer_cmp_exchange(value, expected, desired) std::atomic_compare_exchange_strong(value, expected, desired)
    #if defined(__PYX_DEBUG_ATOMICS) && defined(_MSC_VER)
        #pragma message ("Using standard C++ atomics")
    #elif defined(__PYX_DEBUG_ATOMICS)
        #warning "Using standard C++ atomics"
    #endif
#elif CYTHON_ATOMICS && (__GNUC__ >= 5 || (__GNUC__ == 4 &&\
                    (__GNUC_MINOR__ > 1 ||\
                    (__GNUC_MINOR__ == 1 && __GNUC_PATCHLEVEL__ >= 2))))
    #define __pyx_atomic_ptr_type void*
    #define __pyx_nonatomic_ptr_type void*
    #define __pyx_atomic_incr_relaxed(value) __sync_fetch_and_add(value, 1)
    #define __pyx_atomic_incr_acq_rel(value) __sync_fetch_and_add(value, 1)
    #define __pyx_atomic_decr_acq_rel(value) __sync_fetch_and_sub(value, 1)
    #define __pyx_atomic_sub(value, arg) __sync_fetch_and_sub(value, arg)
    static CYTHON_INLINE int __pyx_atomic_int_cmp_exchange(__pyx_atomic_int_type* value, __pyx_nonatomic_int_type* expected, __pyx_nonatomic_int_type desired) {
        __pyx_nonatomic_int_type old = __sync_val_compare_and_swap(value, *expected, desired);
        int result = old == *expected;
        *expected = old;
        return result;
    }
    #define __pyx_atomic_load(value) __sync_fetch_and_add(value, 0)
    #define __pyx_atomic_store(value, new_value) __sync_lock_test_and_set(value, new_value)
    #define __pyx_atomic_pointer_load_relaxed(value) __sync_fetch_and_add(value, 0)
    #define __pyx_atomic_pointer_load_acquire(value) __sync_fetch_and_add(value, 0)
    #define __pyx_atomic_pointer_exchange(value, new_value) __sync_lock_test_and_set(value, (__pyx_atomic_ptr_type)new_value)
    static CYTHON_INLINE int __pyx_atomic_pointer_cmp_exchange(__pyx_atomic_ptr_type* value, __pyx_nonatomic_ptr_type* expected, __pyx_nonatomic_ptr_type desired) {
        __pyx_nonatomic_ptr_type old = __sync_val_compare_and_swap(value, *expected, desired);
        int result = old == *expected;
        *expected = old;
        return result;
    }
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Using GNU atomics"
    #endif
#elif CYTHON_ATOMICS && defined(_MSC_VER)
    #include <intrin.h>
    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type long
    #define __pyx_atomic_ptr_type void*
    #undef __pyx_nonatomic_int_type
    #define __pyx_nonatomic_int_type long
    #define __pyx_nonatomic_ptr_type void*
    #pragma intrinsic (_InterlockedExchangeAdd, _InterlockedExchange, _InterlockedCompareExchange, _InterlockedCompareExchangePointer, _InterlockedExchangePointer)
    #define __pyx_atomic_incr_relaxed(value) _InterlockedExchangeAdd(value, 1)
    #define __pyx_atomic_incr_acq_rel(value) _InterlockedExchangeAdd(value, 1)
    #define __pyx_atomic_decr_acq_rel(value) _InterlockedExchangeAdd(value, -1)
    #define __pyx_atomic_sub(value, arg) _InterlockedExchangeAdd(value, -arg)
    static CYTHON_INLINE int __pyx_atomic_int_cmp_exchange(__pyx_atomic_int_type* value, __pyx_nonatomic_int_type* expected, __pyx_nonatomic_int_type desired) {
        __pyx_nonatomic_int_type old = _InterlockedCompareExchange(value, desired, *expected);
        int result = old == *expected;
        *expected = old;
        return result;
    }
    #define __pyx_atomic_load(value) _InterlockedExchangeAdd(value, 0)
    #define __pyx_atomic_store(value, new_value) _InterlockedExchange(value, new_value)
    #define __pyx_atomic_pointer_load_relaxed(value) *(void * volatile *)value
    #define __pyx_atomic_pointer_load_acquire(value) _InterlockedCompareExchangePointer(value, 0, 0)
    #define __pyx_atomic_pointer_exchange(value, new_value) _InterlockedExchangePointer(value, (__pyx_atomic_ptr_type)new_value)
    static CYTHON_INLINE int __pyx_atomic_pointer_cmp_exchange(__pyx_atomic_ptr_type* value, __pyx_nonatomic_ptr_type* expected, __pyx_nonatomic_ptr_type desired) {
        __pyx_atomic_ptr_type old = _InterlockedCompareExchangePointer(value, desired, *expected);
        int result = old == *expected;
        *expected = old;
        return result;
    }
    #ifdef __PYX_DEBUG_ATOMICS
        #pragma message ("Using MSVC atomics")
    #endif
#else
    #undef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 0
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Not using atomics"
    #endif
#endif

/* CriticalSectionsDefinition.proto (used by CriticalSections) */
#if !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
#define __Pyx_PyCriticalSection void*
#define __Pyx_PyCriticalSection2 void*
#define __Pyx_PyCriticalSection_End(cs)
#define __Pyx_PyCriticalSection2_End(cs)
#else
#define __Pyx_PyCriticalSection PyCriticalSection
#define __Pyx_PyCriticalSection2 PyCriticalSection2
#define __Pyx_PyCriticalSection_End PyCriticalSection_End
#define __Pyx_PyCriticalSection2_End PyCriticalSection2_End
#endif

/* CriticalSections.proto (used by ParseKeywordsImpl) */
#if !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
#define __Pyx_PyCriticalSection_Begin(cs, arg) (void)(cs)
#define __Pyx_PyCriticalSection2_Begin(cs, arg1, arg2) (void)(cs)
#else
#define __Pyx_PyCriticalSection_Begin PyCriticalSection_Begin
#define __Pyx_PyCriticalSection2_Begin PyCriticalSection2_Begin
#endif
#if PY_VERSION_HEX < 0x030d0000 || CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_BEGIN_CRITICAL_SECTION(o) {
#define __Pyx_END_CRITICAL_SECTION() }
#else
#define __Pyx_BEGIN_CRITICAL_SECTION Py_BEGIN_CRITICAL_SECTION
#define __Pyx_END_CRITICAL_SECTION Py_END_CRITICAL_SECTION
#endif

/* IncludeStructmemberH.proto (used by FixUpExtensionType) */
#include <structmember.h>

/* #### Code section: numeric_typedefs ### */
/* #### Code section: complex_type_declarations ### */
/* Declarations.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #ifdef __cplusplus
    typedef ::std::complex< double > __pyx_t_double_complex;
  #else
    typedef double _Complex __pyx_t_double_complex;
  #endif
#else
    typedef struct { double real, imag; } __pyx_t_double_complex;
#endif
static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);

/* #### Code section: type_declarations ### */

/*--- Type declarations ---*/
struct __pyx_defaults;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr;

/* "fontTools/misc/bezierTools.py":815
 * 
 * 
 * def solveQuadratic(a, b, c, sqrt=sqrt):             # <<<<<<<<<<<<<<
 *     """Solve a quadratic equation.
 * 
*/
struct __pyx_defaults {
  PyObject_HEAD
  PyObject *arg0;
};


/* "fontTools/misc/bezierTools.py":546
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal] - where
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)             # <<<<<<<<<<<<<<
 *     if not solutions:
 *         return [(pt1, pt2, pt3)]
*/
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr {
  PyObject_HEAD
  PyObject *__pyx_genexpr_arg_0;
  PyObject *__pyx_v_t;
};


/* "fontTools/misc/bezierTools.py":583
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal], d[isHorizontal] - where
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)             # <<<<<<<<<<<<<<
 *     if not solutions:
 *         return [(pt1, pt2, pt3, pt4)]
*/
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr {
  PyObject_HEAD
  PyObject *__pyx_genexpr_arg_0;
  PyObject *__pyx_v_t;
};


/* "fontTools/misc/bezierTools.py":644
 * 
 * 
 * @cython.locals(             # <<<<<<<<<<<<<<
 *     pt1=cython.complex,
 *     pt2=cython.complex,
*/
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC {
  PyObject_HEAD
  __pyx_t_double_complex __pyx_v_a;
  __pyx_t_double_complex __pyx_v_b;
  __pyx_t_double_complex __pyx_v_c;
  __pyx_t_double_complex __pyx_v_d;
  __pyx_t_double_complex __pyx_v_pt1;
  __pyx_t_double_complex __pyx_v_pt2;
  __pyx_t_double_complex __pyx_v_pt3;
  __pyx_t_double_complex __pyx_v_pt4;
  PyObject *__pyx_v_ts;
};


/* "fontTools/misc/bezierTools.py":770
 * 
 * 
 * @cython.locals(             # <<<<<<<<<<<<<<
 *     a=cython.complex,
 *     b=cython.complex,
*/
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC {
  PyObject_HEAD
  __pyx_t_double_complex __pyx_v_a;
  __pyx_t_double_complex __pyx_v_a1;
  __pyx_t_double_complex __pyx_v_b;
  __pyx_t_double_complex __pyx_v_b1;
  __pyx_t_double_complex __pyx_v_c;
  __pyx_t_double_complex __pyx_v_c1;
  __pyx_t_double_complex __pyx_v_d;
  __pyx_t_double_complex __pyx_v_d1;
  double __pyx_v_delta;
  double __pyx_v_delta_2;
  double __pyx_v_delta_3;
  PyObject *__pyx_v_i;
  PyObject *__pyx_v_pt1;
  PyObject *__pyx_v_pt2;
  PyObject *__pyx_v_pt3;
  PyObject *__pyx_v_pt4;
  double __pyx_v_t1;
  double __pyx_v_t1_2;
  double __pyx_v_t1_3;
  double __pyx_v_t2;
  PyObject *__pyx_v_ts;
  PyObject *__pyx_t_0;
  PyObject *(*__pyx_t_1)(PyObject *);
};


/* "fontTools/misc/bezierTools.py":1252
 *     else:
 *         raise ValueError("Unknown curve degree")
 *     return sorted(i for i in intersections if 0.0 <= i <= 1)             # <<<<<<<<<<<<<<
 * 
 * 
*/
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr {
  PyObject_HEAD
  PyObject *__pyx_genexpr_arg_0;
  PyObject *__pyx_v_i;
};


/* "fontTools/misc/bezierTools.py":1313
 * 
 * 
 * def _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *     curve1, curve2, precision=1e-3, range1=None, range2=None
 * ):
*/
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t {
  PyObject_HEAD
  PyObject *__pyx_v_precision;
};


/* "fontTools/misc/bezierTools.py":1382
 * def _is_linelike(segment):
 *     maybeline = _alignment_transformation(segment).transformPoints(segment)
 *     return all(math.isclose(p[1], 0.0) for p in maybeline)             # <<<<<<<<<<<<<<
 * 
 * 
*/
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr {
  PyObject_HEAD
  PyObject *__pyx_genexpr_arg_0;
  PyObject *__pyx_v_p;
};


/* "fontTools/misc/bezierTools.py":1485
 *         return "%g" % obj
 *     else:
 *         return "(%s)" % ", ".join(_segmentrepr(x) for x in it)             # <<<<<<<<<<<<<<
 * 
 * 
*/
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr {
  PyObject_HEAD
  PyObject *__pyx_genexpr_arg_0;
  PyObject *__pyx_v_x;
};

/* #### Code section: utility_code_proto ### */

/* --- Runtime support code (head) --- */
/* Refnanny.proto */
#ifndef CYTHON_REFNANNY
  #define CYTHON_REFNANNY 0
#endif
#if CYTHON_REFNANNY
  typedef struct {
    void (*INCREF)(void*, PyObject*, Py_ssize_t);
    void (*DECREF)(void*, PyObject*, Py_ssize_t);
    void (*GOTREF)(void*, PyObject*, Py_ssize_t);
    void (*GIVEREF)(void*, PyObject*, Py_ssize_t);
    void* (*SetupContext)(const char*, Py_ssize_t, const char*);
    void (*FinishContext)(void**);
  } __Pyx_RefNannyAPIStruct;
  static __Pyx_RefNannyAPIStruct *__Pyx_RefNanny = NULL;
  static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname);
  #define __Pyx_RefNannyDeclarations void *__pyx_refnanny = NULL;
  #define __Pyx_RefNannySetupContext(name, acquire_gil)\
          if (acquire_gil) {\
              PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();\
              __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), (__LINE__), (__FILE__));\
              PyGILState_Release(__pyx_gilstate_save);\
          } else {\
              __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), (__LINE__), (__FILE__));\
          }
  #define __Pyx_RefNannyFinishContextNogil() {\
              PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();\
              __Pyx_RefNannyFinishContext();\
              PyGILState_Release(__pyx_gilstate_save);\
          }
  #define __Pyx_RefNannyFinishContextNogil() {\
              PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();\
              __Pyx_RefNannyFinishContext();\
              PyGILState_Release(__pyx_gilstate_save);\
          }
  #define __Pyx_RefNannyFinishContext()\
          __Pyx_RefNanny->FinishContext(&__pyx_refnanny)
  #define __Pyx_INCREF(r)  __Pyx_RefNanny->INCREF(__pyx_refnanny, (PyObject *)(r), (__LINE__))
  #define __Pyx_DECREF(r)  __Pyx_RefNanny->DECREF(__pyx_refnanny, (PyObject *)(r), (__LINE__))
  #define __Pyx_GOTREF(r)  __Pyx_RefNanny->GOTREF(__pyx_refnanny, (PyObject *)(r), (__LINE__))
  #define __Pyx_GIVEREF(r) __Pyx_RefNanny->GIVEREF(__pyx_refnanny, (PyObject *)(r), (__LINE__))
  #define __Pyx_XINCREF(r)  do { if((r) == NULL); else {__Pyx_INCREF(r); }} while(0)
  #define __Pyx_XDECREF(r)  do { if((r) == NULL); else {__Pyx_DECREF(r); }} while(0)
  #define __Pyx_XGOTREF(r)  do { if((r) == NULL); else {__Pyx_GOTREF(r); }} while(0)
  #define __Pyx_XGIVEREF(r) do { if((r) == NULL); else {__Pyx_GIVEREF(r);}} while(0)
#else
  #define __Pyx_RefNannyDeclarations
  #define __Pyx_RefNannySetupContext(name, acquire_gil)
  #define __Pyx_RefNannyFinishContextNogil()
  #define __Pyx_RefNannyFinishContext()
  #define __Pyx_INCREF(r) Py_INCREF(r)
  #define __Pyx_DECREF(r) Py_DECREF(r)
  #define __Pyx_GOTREF(r)
  #define __Pyx_GIVEREF(r)
  #define __Pyx_XINCREF(r) Py_XINCREF(r)
  #define __Pyx_XDECREF(r) Py_XDECREF(r)
  #define __Pyx_XGOTREF(r)
  #define __Pyx_XGIVEREF(r)
#endif
#define __Pyx_Py_XDECREF_SET(r, v) do {\
        PyObject *tmp = (PyObject *) r;\
        r = v; Py_XDECREF(tmp);\
    } while (0)
#define __Pyx_XDECREF_SET(r, v) do {\
        PyObject *tmp = (PyObject *) r;\
        r = v; __Pyx_XDECREF(tmp);\
    } while (0)
#define __Pyx_DECREF_SET(r, v) do {\
        PyObject *tmp = (PyObject *) r;\
        r = v; __Pyx_DECREF(tmp);\
    } while (0)
#define __Pyx_CLEAR(r)    do { PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);} while(0)
#define __Pyx_XCLEAR(r)   do { if((r) != NULL) {PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);}} while(0)

/* PyErrExceptionMatches.proto (used by PyObjectGetAttrStrNoError) */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
#else
#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
#endif

/* PyThreadStateGet.proto (used by PyErrFetchRestore) */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyThreadState_declare  PyThreadState *__pyx_tstate;
#define __Pyx_PyThreadState_assign  __pyx_tstate = __Pyx_PyThreadState_Current;
#if PY_VERSION_HEX >= 0x030C00A6
#define __Pyx_PyErr_Occurred()  (__pyx_tstate->current_exception != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  (__pyx_tstate->current_exception ? (PyObject*) Py_TYPE(__pyx_tstate->current_exception) : (PyObject*) NULL)
#else
#define __Pyx_PyErr_Occurred()  (__pyx_tstate->curexc_type != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  (__pyx_tstate->curexc_type)
#endif
#else
#define __Pyx_PyThreadState_declare
#define __Pyx_PyThreadState_assign
#define __Pyx_PyErr_Occurred()  (PyErr_Occurred() != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  PyErr_Occurred()
#endif

/* PyErrFetchRestore.proto (used by PyObjectGetAttrStrNoError) */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL)
#define __Pyx_ErrRestoreWithState(type, value, tb)  __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)    __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)    __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A6
#define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL))
#else
#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
#endif
#else
#define __Pyx_PyErr_Clear() PyErr_Clear()
#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
#define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchInState(tstate, type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)  PyErr_Fetch(type, value, tb)
#endif

/* PyObjectGetAttrStr.proto (used by PyObjectGetAttrStrNoError) */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n)
#endif

/* PyObjectGetAttrStrNoError.proto (used by GetBuiltinName) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name);

/* GetBuiltinName.proto */
static PyObject *__Pyx_GetBuiltinName(PyObject *name);

/* TupleAndListFromArray.proto (used by fastcall) */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyList_FromArray(PyObject *const *src, Py_ssize_t n);
#endif
#if CYTHON_COMPILING_IN_CPYTHON || CYTHON_METH_FASTCALL
static CYTHON_INLINE PyObject* __Pyx_PyTuple_FromArray(PyObject *const *src, Py_ssize_t n);
#endif

/* IncludeStringH.proto (used by BytesEquals) */
#include <string.h>

/* BytesEquals.proto (used by UnicodeEquals) */
static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals);

/* UnicodeEquals.proto (used by fastcall) */
static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals);

/* fastcall.proto */
#if CYTHON_AVOID_BORROWED_REFS
    #define __Pyx_ArgRef_VARARGS(args, i) __Pyx_PySequence_ITEM(args, i)
#elif CYTHON_ASSUME_SAFE_MACROS
    #define __Pyx_ArgRef_VARARGS(args, i) __Pyx_NewRef(__Pyx_PyTuple_GET_ITEM(args, i))
#else
    #define __Pyx_ArgRef_VARARGS(args, i) __Pyx_XNewRef(PyTuple_GetItem(args, i))
#endif
#define __Pyx_NumKwargs_VARARGS(kwds) PyDict_Size(kwds)
#define __Pyx_KwValues_VARARGS(args, nargs) NULL
#define __Pyx_GetKwValue_VARARGS(kw, kwvalues, s) __Pyx_PyDict_GetItemStrWithError(kw, s)
#define __Pyx_KwargsAsDict_VARARGS(kw, kwvalues) PyDict_Copy(kw)
#if CYTHON_METH_FASTCALL
    #define __Pyx_ArgRef_FASTCALL(args, i) __Pyx_NewRef(args[i])
    #define __Pyx_NumKwargs_FASTCALL(kwds) __Pyx_PyTuple_GET_SIZE(kwds)
    #define __Pyx_KwValues_FASTCALL(args, nargs) ((args) + (nargs))
    static CYTHON_INLINE PyObject * __Pyx_GetKwValue_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues, PyObject *s);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000 || CYTHON_COMPILING_IN_LIMITED_API
    CYTHON_UNUSED static PyObject *__Pyx_KwargsAsDict_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues);
  #else
    #define __Pyx_KwargsAsDict_FASTCALL(kw, kwvalues) _PyStack_AsDict(kwvalues, kw)
  #endif
#else
    #define __Pyx_ArgRef_FASTCALL __Pyx_ArgRef_VARARGS
    #define __Pyx_NumKwargs_FASTCALL __Pyx_NumKwargs_VARARGS
    #define __Pyx_KwValues_FASTCALL __Pyx_KwValues_VARARGS
    #define __Pyx_GetKwValue_FASTCALL __Pyx_GetKwValue_VARARGS
    #define __Pyx_KwargsAsDict_FASTCALL __Pyx_KwargsAsDict_VARARGS
#endif
#define __Pyx_ArgsSlice_VARARGS(args, start, stop) PyTuple_GetSlice(args, start, stop)
#if CYTHON_METH_FASTCALL || (CYTHON_COMPILING_IN_CPYTHON && CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
#define __Pyx_ArgsSlice_FASTCALL(args, start, stop) __Pyx_PyTuple_FromArray(args + start, stop - start)
#else
#define __Pyx_ArgsSlice_FASTCALL(args, start, stop) PyTuple_GetSlice(args, start, stop)
#endif

/* py_dict_items.proto (used by OwnedDictNext) */
static CYTHON_INLINE PyObject* __Pyx_PyDict_Items(PyObject* d);

/* CallCFunction.proto (used by CallUnboundCMethod0) */
#define __Pyx_CallCFunction(cfunc, self, args)\
    ((PyCFunction)(void(*)(void))(cfunc)->func)(self, args)
#define __Pyx_CallCFunctionWithKeywords(cfunc, self, args, kwargs)\
    ((PyCFunctionWithKeywords)(void(*)(void))(cfunc)->func)(self, args, kwargs)
#define __Pyx_CallCFunctionFast(cfunc, self, args, nargs)\
    ((__Pyx_PyCFunctionFast)(void(*)(void))(PyCFunction)(cfunc)->func)(self, args, nargs)
#define __Pyx_CallCFunctionFastWithKeywords(cfunc, self, args, nargs, kwnames)\
    ((__Pyx_PyCFunctionFastWithKeywords)(void(*)(void))(PyCFunction)(cfunc)->func)(self, args, nargs, kwnames)

/* PyObjectCall.proto (used by PyObjectFastCall) */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
#else
#define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)
#endif

/* PyObjectCallMethO.proto (used by PyObjectFastCall) */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
#endif

/* PyObjectFastCall.proto (used by PyObjectCallOneArg) */
#define __Pyx_PyObject_FastCall(func, args, nargs)  __Pyx_PyObject_FastCallDict(func, args, (size_t)(nargs), NULL)
static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject * const*args, size_t nargs, PyObject *kwargs);

/* PyObjectCallOneArg.proto (used by CallUnboundCMethod0) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);

/* UnpackUnboundCMethod.proto (used by CallUnboundCMethod0) */
typedef struct {
    PyObject *type;
    PyObject **method_name;
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && CYTHON_ATOMICS
    __pyx_atomic_int_type initialized;
#endif
    PyCFunction func;
    PyObject *method;
    int flag;
} __Pyx_CachedCFunction;
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
static CYTHON_INLINE int __Pyx_CachedCFunction_GetAndSetInitializing(__Pyx_CachedCFunction *cfunc) {
#if !CYTHON_ATOMICS
    return 1;
#else
    __pyx_nonatomic_int_type expected = 0;
    if (__pyx_atomic_int_cmp_exchange(&cfunc->initialized, &expected, 1)) {
        return 0;
    }
    return expected;
#endif
}
static CYTHON_INLINE void __Pyx_CachedCFunction_SetFinishedInitializing(__Pyx_CachedCFunction *cfunc) {
#if CYTHON_ATOMICS
    __pyx_atomic_store(&cfunc->initialized, 2);
#endif
}
#else
#define __Pyx_CachedCFunction_GetAndSetInitializing(cfunc) 2
#define __Pyx_CachedCFunction_SetFinishedInitializing(cfunc)
#endif

/* CallUnboundCMethod0.proto */
CYTHON_UNUSED
static PyObject* __Pyx__CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self);
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self);
#else
#define __Pyx_CallUnboundCMethod0(cfunc, self)  __Pyx__CallUnboundCMethod0(cfunc, self)
#endif

/* py_dict_values.proto (used by OwnedDictNext) */
static CYTHON_INLINE PyObject* __Pyx_PyDict_Values(PyObject* d);

/* OwnedDictNext.proto (used by ParseKeywordsImpl) */
#if CYTHON_AVOID_BORROWED_REFS
static int __Pyx_PyDict_NextRef(PyObject *p, PyObject **ppos, PyObject **pkey, PyObject **pvalue);
#else
CYTHON_INLINE
static int __Pyx_PyDict_NextRef(PyObject *p, Py_ssize_t *ppos, PyObject **pkey, PyObject **pvalue);
#endif

/* RaiseDoubleKeywords.proto (used by ParseKeywordsImpl) */
static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name);

/* ParseKeywordsImpl.export */
static int __Pyx_ParseKeywordsTuple(
    PyObject *kwds,
    PyObject * const *kwvalues,
    PyObject ** const argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs
);
static int __Pyx_ParseKeywordDictToDict(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    const char* function_name
);
static int __Pyx_ParseKeywordDict(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject *values[],
    Py_ssize_t num_pos_args,
    Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs
);

/* CallUnboundCMethod2.proto */
CYTHON_UNUSED
static PyObject* __Pyx__CallUnboundCMethod2(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg1, PyObject* arg2);
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject *__Pyx_CallUnboundCMethod2(__Pyx_CachedCFunction *cfunc, PyObject *self, PyObject *arg1, PyObject *arg2);
#else
#define __Pyx_CallUnboundCMethod2(cfunc, self, arg1, arg2)  __Pyx__CallUnboundCMethod2(cfunc, self, arg1, arg2)
#endif

/* ParseKeywords.proto */
static CYTHON_INLINE int __Pyx_ParseKeywords(
    PyObject *kwds, PyObject *const *kwvalues, PyObject ** const argnames[],
    PyObject *kwds2, PyObject *values[],
    Py_ssize_t num_pos_args, Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs
);

/* RaiseArgTupleInvalid.proto */
static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact,
    Py_ssize_t num_min, Py_ssize_t num_max, Py_ssize_t num_found);

/* PyDictVersioning.proto (used by GetModuleGlobalName) */
#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
#define __PYX_DICT_VERSION_INIT  ((PY_UINT64_T) -1)
#define __PYX_GET_DICT_VERSION(dict)  (((PyDictObject*)(dict))->ma_version_tag)
#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)\
    (version_var) = __PYX_GET_DICT_VERSION(dict);\
    (cache_var) = (value);
#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\
    static PY_UINT64_T __pyx_dict_version = 0;\
    static PyObject *__pyx_dict_cached_value = NULL;\
    if (likely(__PYX_GET_DICT_VERSION(DICT) == __pyx_dict_version)) {\
        (VAR) = __Pyx_XNewRef(__pyx_dict_cached_value);\
    } else {\
        (VAR) = __pyx_dict_cached_value = (LOOKUP);\
        __pyx_dict_version = __PYX_GET_DICT_VERSION(DICT);\
    }\
}
static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj);
static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj);
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version);
#else
#define __PYX_GET_DICT_VERSION(dict)  (0)
#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)
#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP)  (VAR) = (LOOKUP);
#endif

/* GetModuleGlobalName.proto */
#if CYTHON_USE_DICT_VERSIONS
#define __Pyx_GetModuleGlobalName(var, name)  do {\
    static PY_UINT64_T __pyx_dict_version = 0;\
    static PyObject *__pyx_dict_cached_value = NULL;\
    (var) = (likely(__pyx_dict_version == __PYX_GET_DICT_VERSION(__pyx_mstate_global->__pyx_d))) ?\
        (likely(__pyx_dict_cached_value) ? __Pyx_NewRef(__pyx_dict_cached_value) : __Pyx_GetBuiltinName(name)) :\
        __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
} while(0)
#define __Pyx_GetModuleGlobalNameUncached(var, name)  do {\
    PY_UINT64_T __pyx_dict_version;\
    PyObject *__pyx_dict_cached_value;\
    (var) = __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
} while(0)
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value);
#else
#define __Pyx_GetModuleGlobalName(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
#define __Pyx_GetModuleGlobalNameUncached(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name);
#endif

/* PyLongBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static CYTHON_INLINE PyObject* __Pyx_PyLong_MultiplyCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyLong_MultiplyCObj(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceMultiply(op1, op2) : PyNumber_Multiply(op1, op2))
#endif

/* RaiseTooManyValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);

/* RaiseNeedMoreValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);

/* IterFinish.proto */
static CYTHON_INLINE int __Pyx_IterFinish(void);

/* UnpackItemEndCheck.proto */
static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected);

/* PyLongBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static CYTHON_INLINE PyObject* __Pyx_PyLong_TrueDivideObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyLong_TrueDivideObjC(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceTrueDivide(op1, op2) : PyNumber_TrueDivide(op1, op2))
#endif

/* IncludeStdlibH.proto */
#include <stdlib.h>

/* PyLongCompare.proto */
static CYTHON_INLINE int __Pyx_PyLong_BoolNeObjC(PyObject *op1, PyObject *op2, long intval, long inplace);

/* ListAppend.proto */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
static CYTHON_INLINE int __Pyx_PyList_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len) & likely(len > (L->allocated >> 1))) {
        Py_INCREF(x);
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000
        L->ob_item[len] = x;
        #else
        PyList_SET_ITEM(list, len, x);
        #endif
        __Pyx_SET_SIZE(list, len + 1);
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_PyList_Append(L,x) PyList_Append(L,x)
#endif

/* ListCompAppend.proto */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
static CYTHON_INLINE int __Pyx_ListComp_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len)) {
        Py_INCREF(x);
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000
        L->ob_item[len] = x;
        #else
        PyList_SET_ITEM(list, len, x);
        #endif
        __Pyx_SET_SIZE(list, len + 1);
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_ListComp_Append(L,x) PyList_Append(L,x)
#endif

/* GetItemInt.proto */
#define __Pyx_GetItemInt(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck, has_gil, unsafe_shared)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Fast(o, (Py_ssize_t)i, is_list, wraparound, boundscheck, unsafe_shared) :\
    (is_list ? (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL) :\
               __Pyx_GetItemInt_Generic(o, to_py_func(i))))
#define __Pyx_GetItemInt_List(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck, has_gil, unsafe_shared)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_List_Fast(o, (Py_ssize_t)i, wraparound, boundscheck, unsafe_shared) :\
    (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck, int unsafe_shared);
#define __Pyx_GetItemInt_Tuple(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck, has_gil, unsafe_shared)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Tuple_Fast(o, (Py_ssize_t)i, wraparound, boundscheck, unsafe_shared) :\
    (PyErr_SetString(PyExc_IndexError, "tuple index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck, int unsafe_shared);
static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j);
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i,
                                                     int is_list, int wraparound, int boundscheck, int unsafe_shared);

/* ObjectGetItem.proto */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject *key);
#else
#define __Pyx_PyObject_GetItem(obj, key)  PyObject_GetItem(obj, key)
#endif

/* PyLongCompare.proto */
static CYTHON_INLINE int __Pyx_PyLong_BoolEqObjC(PyObject *op1, PyObject *op2, long intval, long inplace);

/* RaiseUnboundLocalError.proto */
static void __Pyx_RaiseUnboundLocalError(const char *varname);

/* GetException.proto (used by pep479) */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_GetException(type, value, tb)  __Pyx__GetException(__pyx_tstate, type, value, tb)
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
#endif

/* pep479.proto */
static void __Pyx_Generator_Replace_StopIteration(int in_async_gen);

/* SliceObject.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetSlice(
        PyObject* obj, Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** py_start, PyObject** py_stop, PyObject** py_slice,
        int has_cstart, int has_cstop, int wraparound);

/* ListExtend.proto */
static CYTHON_INLINE int __Pyx_PyList_Extend(PyObject* L, PyObject* v) {
#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d00a2
    return PyList_Extend(L, v);
#elif CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030d0000
    PyObject* none = _PyList_Extend((PyListObject*)L, v);
    if (unlikely(!none))
        return -1;
    Py_DECREF(none);
    return 0;
#else
    return PyList_SetSlice(L, PY_SSIZE_T_MAX, PY_SSIZE_T_MAX, v);
#endif
}

/* SetItemInt.proto */
#define __Pyx_SetItemInt(o, i, v, type, is_signed, to_py_func, is_list, wraparound, boundscheck, has_gil, unsafe_shared)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_SetItemInt_Fast(o, (Py_ssize_t)i, v, is_list, wraparound, boundscheck, unsafe_shared) :\
    (is_list ? (PyErr_SetString(PyExc_IndexError, "list assignment index out of range"), -1) :\
               __Pyx_SetItemInt_Generic(o, to_py_func(i), v)))
static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v);
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v,
                                               int is_list, int wraparound, int boundscheck, int unsafe_shared);

/* dict_setdefault.proto (used by FetchCommonType) */
static CYTHON_INLINE PyObject *__Pyx_PyDict_SetDefault(PyObject *d, PyObject *key, PyObject *default_value);

/* LimitedApiGetTypeDict.proto (used by SetItemOnTypeDict) */
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__Pyx_GetTypeDict(PyTypeObject *tp);
#endif

/* SetItemOnTypeDict.proto (used by FixUpExtensionType) */
static int __Pyx__SetItemOnTypeDict(PyTypeObject *tp, PyObject *k, PyObject *v);
#define __Pyx_SetItemOnTypeDict(tp, k, v) __Pyx__SetItemOnTypeDict((PyTypeObject*)tp, k, v)

/* FixUpExtensionType.proto (used by FetchCommonType) */
static CYTHON_INLINE int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type);

/* AddModuleRef.proto (used by FetchSharedCythonModule) */
#if ((CYTHON_COMPILING_IN_CPYTHON_FREETHREADING ) ||\
     __PYX_LIMITED_VERSION_HEX < 0x030d0000)
  static PyObject *__Pyx_PyImport_AddModuleRef(const char *name);
#else
  #define __Pyx_PyImport_AddModuleRef(name) PyImport_AddModuleRef(name)
#endif

/* FetchSharedCythonModule.proto (used by FetchCommonType) */
static PyObject *__Pyx_FetchSharedCythonABIModule(void);

/* FetchCommonType.proto (used by CommonTypesMetaclass) */
static PyTypeObject* __Pyx_FetchCommonTypeFromSpec(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases);

/* CommonTypesMetaclass.proto (used by CoroutineBase) */
static int __pyx_CommonTypesMetaclass_init(PyObject *module);
#define __Pyx_CommonTypesMetaclass_USED

/* RaiseException.export */
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);

/* GetTopmostException.proto (used by SaveResetException) */
#if CYTHON_USE_EXC_INFO_STACK && CYTHON_FAST_THREAD_STATE
static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
#endif

/* SaveResetException.proto (used by CoroutineBase) */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
#else
#define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
#define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
#endif

/* SwapException.proto (used by CoroutineBase) */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSwap(type, value, tb)  __Pyx__ExceptionSwap(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb);
#endif

/* CallTypeTraverse.proto (used by CoroutineBase) */
#if !CYTHON_USE_TYPE_SPECS || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x03090000)
#define __Pyx_call_type_traverse(o, always_call, visit, arg) 0
#else
static int __Pyx_call_type_traverse(PyObject *o, int always_call, visitproc visit, void *arg);
#endif

/* IterNextPlain.proto (used by CoroutineBase) */
static CYTHON_INLINE PyObject *__Pyx_PyIter_Next_Plain(PyObject *iterator);
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
static PyObject *__Pyx_GetBuiltinNext_LimitedAPI(void);
#endif

/* PyObjectCall2Args.proto (used by PyObjectCallMethod1) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2);

/* PyObjectGetMethod.proto (used by PyObjectCallMethod1) */
#if !(CYTHON_VECTORCALL && (__PYX_LIMITED_VERSION_HEX >= 0x030C0000 || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x03090000)))
static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method);
#endif

/* PyObjectCallMethod1.proto (used by CoroutineBase) */
static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg);

/* PyObjectCallNoArg.proto (used by CoroutineBase) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func);

/* ReturnWithStopIteration.proto (used by CoroutineBase) */
static CYTHON_INLINE void __Pyx_ReturnWithStopIteration(PyObject* value, int async, int iternext);

/* CoroutineBase.proto (used by Generator) */
struct __pyx_CoroutineObject;
typedef PyObject *(*__pyx_coroutine_body_t)(struct __pyx_CoroutineObject *, PyThreadState *, PyObject *);
#if CYTHON_USE_EXC_INFO_STACK
#define __Pyx_ExcInfoStruct  _PyErr_StackItem
#else
typedef struct {
    PyObject *exc_type;
    PyObject *exc_value;
    PyObject *exc_traceback;
} __Pyx_ExcInfoStruct;
#endif
typedef struct __pyx_CoroutineObject {
    PyObject_HEAD
    __pyx_coroutine_body_t body;
    PyObject *closure;
    __Pyx_ExcInfoStruct gi_exc_state;
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    PyObject *gi_weakreflist;
#endif
    PyObject *classobj;
    PyObject *yieldfrom;
    __Pyx_pyiter_sendfunc yieldfrom_am_send;
    PyObject *gi_name;
    PyObject *gi_qualname;
    PyObject *gi_modulename;
    PyObject *gi_code;
    PyObject *gi_frame;
#if CYTHON_USE_SYS_MONITORING && (CYTHON_PROFILE || CYTHON_TRACE)
    PyMonitoringState __pyx_pymonitoring_state[__Pyx_MonitoringEventTypes_CyGen_count];
    uint64_t __pyx_pymonitoring_version;
#endif
    int resume_label;
    char is_running;
} __pyx_CoroutineObject;
static __pyx_CoroutineObject *__Pyx__Coroutine_New(
    PyTypeObject *type, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
    PyObject *name, PyObject *qualname, PyObject *module_name);
static __pyx_CoroutineObject *__Pyx__Coroutine_NewInit(
            __pyx_CoroutineObject *gen, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name);
static CYTHON_INLINE void __Pyx_Coroutine_ExceptionClear(__Pyx_ExcInfoStruct *self);
static int __Pyx_Coroutine_clear(PyObject *self);
static __Pyx_PySendResult __Pyx_Coroutine_AmSend(PyObject *self, PyObject *value, PyObject **retval);
static PyObject *__Pyx_Coroutine_Send(PyObject *self, PyObject *value);
static __Pyx_PySendResult __Pyx_Coroutine_Close(PyObject *self, PyObject **retval);
static PyObject *__Pyx_Coroutine_Throw(PyObject *gen, PyObject *args);
#if CYTHON_USE_EXC_INFO_STACK
#define __Pyx_Coroutine_SwapException(self)
#define __Pyx_Coroutine_ResetAndClearException(self)  __Pyx_Coroutine_ExceptionClear(&(self)->gi_exc_state)
#else
#define __Pyx_Coroutine_SwapException(self) {\
    __Pyx_ExceptionSwap(&(self)->gi_exc_state.exc_type, &(self)->gi_exc_state.exc_value, &(self)->gi_exc_state.exc_traceback);\
    __Pyx_Coroutine_ResetFrameBackpointer(&(self)->gi_exc_state);\
    }
#define __Pyx_Coroutine_ResetAndClearException(self) {\
    __Pyx_ExceptionReset((self)->gi_exc_state.exc_type, (self)->gi_exc_state.exc_value, (self)->gi_exc_state.exc_traceback);\
    (self)->gi_exc_state.exc_type = (self)->gi_exc_state.exc_value = (self)->gi_exc_state.exc_traceback = NULL;\
    }
#endif
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyGen_FetchStopIterationValue(pvalue)\
    __Pyx_PyGen__FetchStopIterationValue(__pyx_tstate, pvalue)
#else
#define __Pyx_PyGen_FetchStopIterationValue(pvalue)\
    __Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, pvalue)
#endif
static int __Pyx_PyGen__FetchStopIterationValue(PyThreadState *tstate, PyObject **pvalue);
static CYTHON_INLINE void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state);
static char __Pyx_Coroutine_test_and_set_is_running(__pyx_CoroutineObject *gen);
static void __Pyx_Coroutine_unset_is_running(__pyx_CoroutineObject *gen);
static char __Pyx_Coroutine_get_is_running(__pyx_CoroutineObject *gen);
static PyObject *__Pyx_Coroutine_get_is_running_getter(PyObject *gen, void *closure);
#if __PYX_HAS_PY_AM_SEND == 2
static void __Pyx_SetBackportTypeAmSend(PyTypeObject *type, __Pyx_PyAsyncMethodsStruct *static_amsend_methods, __Pyx_pyiter_sendfunc am_send);
#endif
static PyObject *__Pyx_Coroutine_fail_reduce_ex(PyObject *self, PyObject *arg);

/* Generator.proto (used by GeneratorYieldFrom) */
#define __Pyx_Generator_USED
#define __Pyx_Generator_CheckExact(obj) __Pyx_IS_TYPE(obj, __pyx_mstate_global->__pyx_GeneratorType)
#define __Pyx_Generator_New(body, code, closure, name, qualname, module_name)\
    __Pyx__Coroutine_New(__pyx_mstate_global->__pyx_GeneratorType, body, code, closure, name, qualname, module_name)
static PyObject *__Pyx_Generator_Next(PyObject *self);
static int __pyx_Generator_init(PyObject *module);
static CYTHON_INLINE PyObject *__Pyx_Generator_GetInlinedResult(PyObject *self);

/* GeneratorYieldFrom.proto */
static CYTHON_INLINE __Pyx_PySendResult __Pyx_Generator_Yield_From(__pyx_CoroutineObject *gen, PyObject *source, PyObject **retval);

/* append.proto */
static CYTHON_INLINE int __Pyx_PyObject_Append(PyObject* L, PyObject* x);

/* PyRange_Check.proto */
#if CYTHON_COMPILING_IN_PYPY && !defined(PyRange_Check)
  #define PyRange_Check(obj)  __Pyx_TypeCheck((obj), &PyRange_Type)
#endif

/* PyLongBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static CYTHON_INLINE PyObject* __Pyx_PyLong_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyLong_AddObjC(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2))
#endif

/* py_abs.proto */
#if CYTHON_USE_PYLONG_INTERNALS
static PyObject *__Pyx_PyLong_AbsNeg(PyObject *num);
#define __Pyx_PyNumber_Absolute(x)\
    ((likely(PyLong_CheckExact(x))) ?\
         (likely(__Pyx_PyLong_IsNonNeg(x)) ? __Pyx_NewRef(x) : __Pyx_PyLong_AbsNeg(x)) :\
         PyNumber_Absolute(x))
#else
#define __Pyx_PyNumber_Absolute(x)  PyNumber_Absolute(x)
#endif

/* PyFloatBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_TrueDivideObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyFloat_TrueDivideObjC(op1, op2, floatval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceTrueDivide(op1, op2) : PyNumber_TrueDivide(op1, op2))
#endif

/* pybytes_as_double.proto (used by pynumber_float) */
static double __Pyx_SlowPyString_AsDouble(PyObject *obj);
static double __Pyx__PyBytes_AsDouble(PyObject *obj, const char* start, Py_ssize_t length);
static CYTHON_INLINE double __Pyx_PyBytes_AsDouble(PyObject *obj) {
    char* as_c_string;
    Py_ssize_t size;
#if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
    as_c_string = PyBytes_AS_STRING(obj);
    size = PyBytes_GET_SIZE(obj);
#else
    if (PyBytes_AsStringAndSize(obj, &as_c_string, &size) < 0) {
        return (double)-1;
    }
#endif
    return __Pyx__PyBytes_AsDouble(obj, as_c_string, size);
}
static CYTHON_INLINE double __Pyx_PyByteArray_AsDouble(PyObject *obj) {
    char* as_c_string;
    Py_ssize_t size;
#if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
    as_c_string = PyByteArray_AS_STRING(obj);
    size = PyByteArray_GET_SIZE(obj);
#else
    as_c_string = PyByteArray_AsString(obj);
    if (as_c_string == NULL) {
        return (double)-1;
    }
    size = PyByteArray_Size(obj);
#endif
    return __Pyx__PyBytes_AsDouble(obj, as_c_string, size);
}

/* pyunicode_as_double.proto (used by pynumber_float) */
#if !CYTHON_COMPILING_IN_PYPY && CYTHON_ASSUME_SAFE_MACROS
static const char* __Pyx__PyUnicode_AsDouble_Copy(const void* data, const int kind, char* buffer, Py_ssize_t start, Py_ssize_t end) {
    int last_was_punctuation;
    Py_ssize_t i;
    last_was_punctuation = 1;
    for (i=start; i <= end; i++) {
        Py_UCS4 chr = PyUnicode_READ(kind, data, i);
        int is_punctuation = (chr == '_') | (chr == '.');
        *buffer = (char)chr;
        buffer += (chr != '_');
        if (unlikely(chr > 127)) goto parse_failure;
        if (unlikely(last_was_punctuation & is_punctuation)) goto parse_failure;
        last_was_punctuation = is_punctuation;
    }
    if (unlikely(last_was_punctuation)) goto parse_failure;
    *buffer = '\0';
    return buffer;
parse_failure:
    return NULL;
}
static double __Pyx__PyUnicode_AsDouble_inf_nan(const void* data, int kind, Py_ssize_t start, Py_ssize_t length) {
    int matches = 1;
    Py_UCS4 chr;
    Py_UCS4 sign = PyUnicode_READ(kind, data, start);
    int is_signed = (sign == '-') | (sign == '+');
    start += is_signed;
    length -= is_signed;
    switch (PyUnicode_READ(kind, data, start)) {
        #ifdef Py_NAN
        case 'n':
        case 'N':
            if (unlikely(length != 3)) goto parse_failure;
            chr = PyUnicode_READ(kind, data, start+1);
            matches &= (chr == 'a') | (chr == 'A');
            chr = PyUnicode_READ(kind, data, start+2);
            matches &= (chr == 'n') | (chr == 'N');
            if (unlikely(!matches)) goto parse_failure;
            return (sign == '-') ? -Py_NAN : Py_NAN;
        #endif
        case 'i':
        case 'I':
            if (unlikely(length < 3)) goto parse_failure;
            chr = PyUnicode_READ(kind, data, start+1);
            matches &= (chr == 'n') | (chr == 'N');
            chr = PyUnicode_READ(kind, data, start+2);
            matches &= (chr == 'f') | (chr == 'F');
            if (likely(length == 3 && matches))
                return (sign == '-') ? -Py_HUGE_VAL : Py_HUGE_VAL;
            if (unlikely(length != 8)) goto parse_failure;
            chr = PyUnicode_READ(kind, data, start+3);
            matches &= (chr == 'i') | (chr == 'I');
            chr = PyUnicode_READ(kind, data, start+4);
            matches &= (chr == 'n') | (chr == 'N');
            chr = PyUnicode_READ(kind, data, start+5);
            matches &= (chr == 'i') | (chr == 'I');
            chr = PyUnicode_READ(kind, data, start+6);
            matches &= (chr == 't') | (chr == 'T');
            chr = PyUnicode_READ(kind, data, start+7);
            matches &= (chr == 'y') | (chr == 'Y');
            if (unlikely(!matches)) goto parse_failure;
            return (sign == '-') ? -Py_HUGE_VAL : Py_HUGE_VAL;
        case '.': case '0': case '1': case '2': case '3': case '4': case '5': case '6': case '7': case '8': case '9':
            break;
        default:
            goto parse_failure;
    }
    return 0.0;
parse_failure:
    return -1.0;
}
static double __Pyx_PyUnicode_AsDouble_WithSpaces(PyObject *obj) {
    double value;
    const char *last;
    char *end;
    Py_ssize_t start, length = PyUnicode_GET_LENGTH(obj);
    const int kind = PyUnicode_KIND(obj);
    const void* data = PyUnicode_DATA(obj);
    start = 0;
    while (Py_UNICODE_ISSPACE(PyUnicode_READ(kind, data, start)))
        start++;
    while (start < length - 1 && Py_UNICODE_ISSPACE(PyUnicode_READ(kind, data, length - 1)))
        length--;
    length -= start;
    if (unlikely(length <= 0)) goto fallback;
    value = __Pyx__PyUnicode_AsDouble_inf_nan(data, kind, start, length);
    if (unlikely(value == -1.0)) goto fallback;
    if (value != 0.0) return value;
    if (length < 40) {
        char number[40];
        last = __Pyx__PyUnicode_AsDouble_Copy(data, kind, number, start, start + length);
        if (unlikely(!last)) goto fallback;
        value = PyOS_string_to_double(number, &end, NULL);
    } else {
        char *number = (char*) PyMem_Malloc((length + 1) * sizeof(char));
        if (unlikely(!number)) goto fallback;
        last = __Pyx__PyUnicode_AsDouble_Copy(data, kind, number, start, start + length);
        if (unlikely(!last)) {
            PyMem_Free(number);
            goto fallback;
        }
        value = PyOS_string_to_double(number, &end, NULL);
        PyMem_Free(number);
    }
    if (likely(end == last) || (value == (double)-1 && PyErr_Occurred())) {
        return value;
    }
fallback:
    return __Pyx_SlowPyString_AsDouble(obj);
}
#endif
static CYTHON_INLINE double __Pyx_PyUnicode_AsDouble(PyObject *obj) {
#if !CYTHON_COMPILING_IN_PYPY && CYTHON_ASSUME_SAFE_MACROS
    if (unlikely(__Pyx_PyUnicode_READY(obj) == -1))
        return (double)-1;
    if (likely(PyUnicode_IS_ASCII(obj))) {
        const char *s;
        Py_ssize_t length;
        s = PyUnicode_AsUTF8AndSize(obj, &length);
        return __Pyx__PyBytes_AsDouble(obj, s, length);
    }
    return __Pyx_PyUnicode_AsDouble_WithSpaces(obj);
#else
    return __Pyx_SlowPyString_AsDouble(obj);
#endif
}

/* pynumber_float.proto */
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Float(PyObject* obj);
#define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : __Pyx__PyNumber_Float(x))

/* PyFloatBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static int __Pyx_PyFloat_BoolEqObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyFloat_BoolEqObjC(op1, op2, floatval, inplace, zerodivision_check)\
    __Pyx_PyObject_IsTrueAndDecref(PyObject_RichCompare(op1, op2, Py_EQ))
    #endif

/* pow2.proto */
#define __Pyx_PyNumber_Power2(a, b) PyNumber_Power(a, b, Py_None)

/* PyLongBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static CYTHON_INLINE PyObject* __Pyx_PyLong_SubtractCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyLong_SubtractCObj(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceSubtract(op1, op2) : PyNumber_Subtract(op1, op2))
#endif

/* PyValueError_Check.proto */
#define __Pyx_PyExc_ValueError_Check(obj)  __Pyx_TypeCheck(obj, PyExc_ValueError)

/* PyObjectVectorCallKwBuilder.proto */
CYTHON_UNUSED static int __Pyx_VectorcallBuilder_AddArg_Check(PyObject *key, PyObject *value, PyObject *builder, PyObject **args, int n);
#if CYTHON_VECTORCALL
#if PY_VERSION_HEX >= 0x03090000
#define __Pyx_Object_Vectorcall_CallFromBuilder PyObject_Vectorcall
#else
#define __Pyx_Object_Vectorcall_CallFromBuilder _PyObject_Vectorcall
#endif
#define __Pyx_MakeVectorcallBuilderKwds(n) PyTuple_New(n)
static int __Pyx_VectorcallBuilder_AddArg(PyObject *key, PyObject *value, PyObject *builder, PyObject **args, int n);
static int __Pyx_VectorcallBuilder_AddArgStr(const char *key, PyObject *value, PyObject *builder, PyObject **args, int n);
#else
#define __Pyx_Object_Vectorcall_CallFromBuilder __Pyx_PyObject_FastCallDict
#define __Pyx_MakeVectorcallBuilderKwds(n) __Pyx_PyDict_NewPresized(n)
#define __Pyx_VectorcallBuilder_AddArg(key, value, builder, args, n) PyDict_SetItem(builder, key, value)
#define __Pyx_VectorcallBuilder_AddArgStr(key, value, builder, args, n) PyDict_SetItemString(builder, key, value)
#endif

/* PyObjectFastCallMethod.proto */
#if CYTHON_VECTORCALL && PY_VERSION_HEX >= 0x03090000
#define __Pyx_PyObject_FastCallMethod(name, args, nargsf) PyObject_VectorcallMethod(name, args, nargsf, NULL)
#else
static PyObject *__Pyx_PyObject_FastCallMethod(PyObject *name, PyObject *const *args, size_t nargsf);
#endif

/* RaiseClosureNameError.proto */
static void __Pyx_RaiseClosureNameError(const char *varname);

/* PyMethodNew.proto (used by CythonFunctionShared) */
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ);

/* PyVectorcallFastCallDict.proto (used by CythonFunctionShared) */
#if CYTHON_METH_FASTCALL && CYTHON_VECTORCALL
static CYTHON_INLINE PyObject *__Pyx_PyVectorcall_FastCallDict(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw);
#endif

/* CythonFunctionShared.proto (used by CythonFunction) */
#define __Pyx_CyFunction_USED
#define __Pyx_CYFUNCTION_STATICMETHOD  0x01
#define __Pyx_CYFUNCTION_CLASSMETHOD   0x02
#define __Pyx_CYFUNCTION_CCLASS        0x04
#define __Pyx_CYFUNCTION_COROUTINE     0x08
#define __Pyx_CyFunction_GetClosure(f)\
    (((__pyx_CyFunctionObject *) (f))->func_closure)
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_CyFunction_GetClassObj(f)\
      (((__pyx_CyFunctionObject *) (f))->func_classobj)
#else
  #define __Pyx_CyFunction_GetClassObj(f)\
      ((PyObject*) ((PyCMethodObject *) (f))->mm_class)
#endif
#define __Pyx_CyFunction_SetClassObj(f, classobj)\
    __Pyx__CyFunction_SetClassObj((__pyx_CyFunctionObject *) (f), (classobj))
#define __Pyx_CyFunction_Defaults(type, f)\
    ((type *)(((__pyx_CyFunctionObject *) (f))->defaults))
#define __Pyx_CyFunction_SetDefaultsGetter(f, g)\
    ((__pyx_CyFunctionObject *) (f))->defaults_getter = (g)
typedef struct {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject_HEAD
    PyObject *func;
#elif PY_VERSION_HEX < 0x030900B1
    PyCFunctionObject func;
#else
    PyCMethodObject func;
#endif
#if CYTHON_COMPILING_IN_LIMITED_API && CYTHON_METH_FASTCALL
    __pyx_vectorcallfunc func_vectorcall;
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *func_weakreflist;
#endif
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    PyObject *func_dict;
#endif
    PyObject *func_name;
    PyObject *func_qualname;
    PyObject *func_doc;
    PyObject *func_globals;
    PyObject *func_code;
    PyObject *func_closure;
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    PyObject *func_classobj;
#endif
    PyObject *defaults;
    int flags;
    PyObject *defaults_tuple;
    PyObject *defaults_kwdict;
    PyObject *(*defaults_getter)(PyObject *);
    PyObject *func_annotations;
    PyObject *func_is_coroutine;
} __pyx_CyFunctionObject;
#undef __Pyx_CyOrPyCFunction_Check
#define __Pyx_CyFunction_Check(obj)  __Pyx_TypeCheck(obj, __pyx_mstate_global->__pyx_CyFunctionType)
#define __Pyx_CyOrPyCFunction_Check(obj)  __Pyx_TypeCheck2(obj, __pyx_mstate_global->__pyx_CyFunctionType, &PyCFunction_Type)
#define __Pyx_CyFunction_CheckExact(obj)  __Pyx_IS_TYPE(obj, __pyx_mstate_global->__pyx_CyFunctionType)
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void));
#undef __Pyx_IsSameCFunction
#define __Pyx_IsSameCFunction(func, cfunc)   __Pyx__IsSameCyOrCFunction(func, cfunc)
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject* op, PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *closure,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);
static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj);
static CYTHON_INLINE PyObject *__Pyx_CyFunction_InitDefaults(PyObject *func,
                                                         PyTypeObject *defaults_type);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *m,
                                                            PyObject *tuple);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *m,
                                                             PyObject *dict);
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *m,
                                                              PyObject *dict);
static int __pyx_CyFunction_init(PyObject *module);
#if CYTHON_METH_FASTCALL
static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
#if CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_CyFunction_func_vectorcall(f) (((__pyx_CyFunctionObject*)f)->func_vectorcall)
#else
#define __Pyx_CyFunction_func_vectorcall(f) (((PyCFunctionObject*)f)->vectorcall)
#endif
#endif

/* CythonFunction.proto */
static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *closure,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);

/* pyfrozenset_new.proto (used by PySetContains) */
static CYTHON_INLINE PyObject* __Pyx_PyFrozenSet_New(PyObject* it);

/* PySetContains.proto */
static CYTHON_INLINE int __Pyx_PySet_ContainsTF(PyObject* key, PyObject* set, int eq);

/* PyTypeError_Check.proto */
#define __Pyx_PyExc_TypeError_Check(obj)  __Pyx_TypeCheck(obj, PyExc_TypeError)

/* AllocateExtensionType.proto */
static PyObject *__Pyx_AllocateExtensionType(PyTypeObject *t, int is_final);

/* CheckTypeForFreelists.proto */
#if CYTHON_USE_FREELISTS
#if CYTHON_USE_TYPE_SPECS
#define __PYX_CHECK_FINAL_TYPE_FOR_FREELISTS(t, expected_tp, expected_size) ((int) ((t) == (expected_tp)))
#define __PYX_CHECK_TYPE_FOR_FREELIST_FLAGS  Py_TPFLAGS_IS_ABSTRACT
#else
#define __PYX_CHECK_FINAL_TYPE_FOR_FREELISTS(t, expected_tp, expected_size) ((int) ((t)->tp_basicsize == (expected_size)))
#define __PYX_CHECK_TYPE_FOR_FREELIST_FLAGS  (Py_TPFLAGS_IS_ABSTRACT | Py_TPFLAGS_HEAPTYPE)
#endif
#define __PYX_CHECK_TYPE_FOR_FREELISTS(t, expected_tp, expected_size)\
    (__PYX_CHECK_FINAL_TYPE_FOR_FREELISTS((t), (expected_tp), (expected_size)) &\
     (int) (!__Pyx_PyType_HasFeature((t), __PYX_CHECK_TYPE_FOR_FREELIST_FLAGS)))
#endif

/* PyObjectCallMethod0.proto (used by PyType_Ready) */
static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name);

/* ValidateBasesTuple.proto (used by PyType_Ready) */
#if CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_USE_TYPE_SPECS
static int __Pyx_validate_bases_tuple(const char *type_name, Py_ssize_t dictoffset, PyObject *bases);
#endif

/* PyType_Ready.proto */
CYTHON_UNUSED static int __Pyx_PyType_Ready(PyTypeObject *t);

/* HasAttr.proto (used by ImportImpl) */
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
#define __Pyx_HasAttr(o, n)  PyObject_HasAttrWithError(o, n)
#else
static CYTHON_INLINE int __Pyx_HasAttr(PyObject *, PyObject *);
#endif

/* ImportImpl.export */
static PyObject *__Pyx__Import(PyObject *name, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject *qualname, PyObject *moddict, int level);

/* Import.proto */
static CYTHON_INLINE PyObject *__Pyx_Import(PyObject *name, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject *qualname, int level);

/* ImportFrom.proto */
static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name);

/* ListPack.proto */
static PyObject *__Pyx_PyList_Pack(Py_ssize_t n, ...);

/* CLineInTraceback.proto (used by AddTraceback) */
#if CYTHON_CLINE_IN_TRACEBACK && CYTHON_CLINE_IN_TRACEBACK_RUNTIME
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);
#else
#define __Pyx_CLineForTraceback(tstate, c_line)  (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0)
#endif

/* CodeObjectCache.proto (used by AddTraceback) */
#if CYTHON_COMPILING_IN_LIMITED_API
typedef PyObject __Pyx_CachedCodeObjectType;
#else
typedef PyCodeObject __Pyx_CachedCodeObjectType;
#endif
typedef struct {
    __Pyx_CachedCodeObjectType* code_object;
    int code_line;
} __Pyx_CodeObjectCacheEntry;
struct __Pyx_CodeObjectCache {
    int count;
    int max_count;
    __Pyx_CodeObjectCacheEntry* entries;
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    __pyx_atomic_int_type accessor_count;
  #endif
};
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
static __Pyx_CachedCodeObjectType *__pyx_find_code_object(int code_line);
static void __pyx_insert_code_object(int code_line, __Pyx_CachedCodeObjectType* code_object);

/* AddTraceback.proto */
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename);

/* RealImag.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #define __Pyx_CREAL(z) ((z).real())
    #define __Pyx_CIMAG(z) ((z).imag())
  #else
    #define __Pyx_CREAL(z) (__real__(z))
    #define __Pyx_CIMAG(z) (__imag__(z))
  #endif
#else
    #define __Pyx_CREAL(z) ((z).real)
    #define __Pyx_CIMAG(z) ((z).imag)
#endif
#if defined(__cplusplus) && CYTHON_CCOMPLEX\
        && (defined(_WIN32) || defined(__clang__) || (defined(__GNUC__) && (__GNUC__ >= 5 || __GNUC__ == 4 && __GNUC_MINOR__ >= 4 )) || __cplusplus >= 201103)
    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
#else
    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
#endif

/* Arithmetic.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
    #define __Pyx_c_eq_double(a, b)   ((a)==(b))
    #define __Pyx_c_sum_double(a, b)  ((a)+(b))
    #define __Pyx_c_diff_double(a, b) ((a)-(b))
    #define __Pyx_c_prod_double(a, b) ((a)*(b))
    #define __Pyx_c_quot_double(a, b) ((a)/(b))
    #define __Pyx_c_neg_double(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_double(z) ((z)==(double)0)
    #define __Pyx_c_conj_double(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (::std::abs(z))
        #define __Pyx_c_pow_double(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_double(z) ((z)==0)
    #define __Pyx_c_conj_double(z)    (conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (cabs(z))
        #define __Pyx_c_pow_double(a, b)  (cpow(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex);
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex);
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex, __pyx_t_double_complex);
    #endif
#endif

/* FromPy.proto */
static __pyx_t_double_complex __Pyx_PyComplex_As___pyx_t_double_complex(PyObject*);

/* ToPy.proto */
#define __pyx_PyComplex_FromComplex(z)\
        PyComplex_FromDoubles((double)__Pyx_CREAL(z),\
                              (double)__Pyx_CIMAG(z))

/* GCCDiagnostics.proto */
#if !defined(__INTEL_COMPILER) && defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6))
#define __Pyx_HAS_GCC_DIAGNOSTIC
#endif

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyLong_From_long(long value);

/* FormatTypeName.proto */
#if CYTHON_COMPILING_IN_LIMITED_API
typedef PyObject *__Pyx_TypeName;
#define __Pyx_FMT_TYPENAME "%U"
#define __Pyx_DECREF_TypeName(obj) Py_XDECREF(obj)
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
#define __Pyx_PyType_GetFullyQualifiedName PyType_GetFullyQualifiedName
#else
static __Pyx_TypeName __Pyx_PyType_GetFullyQualifiedName(PyTypeObject* tp);
#endif
#else  // !LIMITED_API
typedef const char *__Pyx_TypeName;
#define __Pyx_FMT_TYPENAME "%.200s"
#define __Pyx_PyType_GetFullyQualifiedName(tp) ((tp)->tp_name)
#define __Pyx_DECREF_TypeName(obj)
#endif

/* CIntFromPy.proto */
static CYTHON_INLINE long __Pyx_PyLong_As_long(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE int __Pyx_PyLong_As_int(PyObject *);

/* FastTypeChecks.proto */
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
#define __Pyx_TypeCheck2(obj, type1, type2) __Pyx_IsAnySubtype2(Py_TYPE(obj), (PyTypeObject *)type1, (PyTypeObject *)type2)
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
static CYTHON_INLINE int __Pyx_IsAnySubtype2(PyTypeObject *cls, PyTypeObject *a, PyTypeObject *b);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
#else
#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
#define __Pyx_TypeCheck2(obj, type1, type2) (PyObject_TypeCheck(obj, (PyTypeObject *)type1) || PyObject_TypeCheck(obj, (PyTypeObject *)type2))
#define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2) {
    return PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2);
}
#endif
#define __Pyx_PyErr_ExceptionMatches2(err1, err2)  __Pyx_PyErr_GivenExceptionMatches2(__Pyx_PyErr_CurrentExceptionType(), err1, err2)
#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)
#ifdef PyExceptionInstance_Check
  #define __Pyx_PyBaseException_Check(obj) PyExceptionInstance_Check(obj)
#else
  #define __Pyx_PyBaseException_Check(obj) __Pyx_TypeCheck(obj, PyExc_BaseException)
#endif

/* GetRuntimeVersion.proto */
#if __PYX_LIMITED_VERSION_HEX < 0x030b0000
static unsigned long __Pyx_cached_runtime_version = 0;
static void __Pyx_init_runtime_version(void);
#else
#define __Pyx_init_runtime_version()
#endif
static unsigned long __Pyx_get_runtime_version(void);

/* CheckBinaryVersion.proto */
static int __Pyx_check_binary_version(unsigned long ct_version, unsigned long rt_version, int allow_newer);

/* DecompressString.proto */
static PyObject *__Pyx_DecompressString(const char *s, Py_ssize_t length, int algo);

/* MultiPhaseInitModuleState.proto */
#if CYTHON_PEP489_MULTI_PHASE_INIT && CYTHON_USE_MODULE_STATE
static PyObject *__Pyx_State_FindModule(void*);
static int __Pyx_State_AddModule(PyObject* module, void*);
static int __Pyx_State_RemoveModule(void*);
#elif CYTHON_USE_MODULE_STATE
#define __Pyx_State_FindModule PyState_FindModule
#define __Pyx_State_AddModule PyState_AddModule
#define __Pyx_State_RemoveModule PyState_RemoveModule
#endif

/* #### Code section: module_declarations ### */
/* CythonABIVersion.proto */
#if CYTHON_COMPILING_IN_LIMITED_API
    #if CYTHON_METH_FASTCALL
        #define __PYX_FASTCALL_ABI_SUFFIX  "_fastcall"
    #else
        #define __PYX_FASTCALL_ABI_SUFFIX
    #endif
    #define __PYX_LIMITED_ABI_SUFFIX "limited" __PYX_FASTCALL_ABI_SUFFIX __PYX_AM_SEND_ABI_SUFFIX
#else
    #define __PYX_LIMITED_ABI_SUFFIX
#endif
#if __PYX_HAS_PY_AM_SEND == 1
    #define __PYX_AM_SEND_ABI_SUFFIX
#elif __PYX_HAS_PY_AM_SEND == 2
    #define __PYX_AM_SEND_ABI_SUFFIX "amsendbackport"
#else
    #define __PYX_AM_SEND_ABI_SUFFIX "noamsend"
#endif
#ifndef __PYX_MONITORING_ABI_SUFFIX
    #define __PYX_MONITORING_ABI_SUFFIX
#endif
#if CYTHON_USE_TP_FINALIZE
    #define __PYX_TP_FINALIZE_ABI_SUFFIX
#else
    #define __PYX_TP_FINALIZE_ABI_SUFFIX "nofinalize"
#endif
#if CYTHON_USE_FREELISTS || !defined(__Pyx_AsyncGen_USED)
    #define __PYX_FREELISTS_ABI_SUFFIX
#else
    #define __PYX_FREELISTS_ABI_SUFFIX "nofreelists"
#endif
#define CYTHON_ABI  __PYX_ABI_VERSION __PYX_LIMITED_ABI_SUFFIX __PYX_MONITORING_ABI_SUFFIX __PYX_TP_FINALIZE_ABI_SUFFIX __PYX_FREELISTS_ABI_SUFFIX __PYX_AM_SEND_ABI_SUFFIX
#define __PYX_ABI_MODULE_NAME "_cython_" CYTHON_ABI
#define __PYX_TYPE_MODULE_PREFIX __PYX_ABI_MODULE_NAME "."


/* Module declarations from "cython" */

/* Module declarations from "fontTools.misc.bezierTools" */
static CYTHON_INLINE double __pyx_f_9fontTools_4misc_11bezierTools__dot(__pyx_t_double_complex, __pyx_t_double_complex); /*proto*/
static CYTHON_INLINE double __pyx_f_9fontTools_4misc_11bezierTools__intSecAtan(double); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_9fontTools_4misc_11bezierTools_calcCubicParametersC(__pyx_t_double_complex, __pyx_t_double_complex, __pyx_t_double_complex, __pyx_t_double_complex); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_9fontTools_4misc_11bezierTools_calcCubicPointsC(__pyx_t_double_complex, __pyx_t_double_complex, __pyx_t_double_complex, __pyx_t_double_complex); /*proto*/
/* #### Code section: typeinfo ### */
/* #### Code section: before_global_var ### */
#define __Pyx_MODULE_NAME "fontTools.misc.bezierTools"
extern int __pyx_module_is_main_fontTools__misc__bezierTools;
int __pyx_module_is_main_fontTools__misc__bezierTools = 0;

/* Implementation of "fontTools.misc.bezierTools" */
/* #### Code section: global_var ### */
static PyObject *__pyx_builtin_round;
static PyObject *__pyx_builtin_print;
/* #### Code section: string_decls ### */
static const char __pyx_k_fontTools_misc_bezierTools_py_to[] = "fontTools.misc.bezierTools.py -- tools for working with Bezier path segments.\n";
/* #### Code section: decls ### */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_calcCubicArcLength(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4, PyObject *__pyx_v_tolerance); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_2_split_cubic_into_two(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_p0, PyObject *__pyx_v_p1, PyObject *__pyx_v_p2, PyObject *__pyx_v_p3); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_4_calcCubicArcLengthCRecurse(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_mult, __pyx_t_double_complex __pyx_v_p0, __pyx_t_double_complex __pyx_v_p1, __pyx_t_double_complex __pyx_v_p2, __pyx_t_double_complex __pyx_v_p3); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_6calcCubicArcLengthC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4, double __pyx_v_tolerance); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_8calcQuadraticArcLength(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_10calcQuadraticArcLengthC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_12approximateQuadraticArcLength(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_14approximateQuadraticArcLengthC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_16calcQuadraticBounds(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_18approximateCubicArcLength(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_20approximateCubicArcLengthC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_22calcCubicBounds(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_24splitLine(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_where, PyObject *__pyx_v_isHorizontal); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_14splitQuadratic_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_26splitQuadratic(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_where, PyObject *__pyx_v_isHorizontal); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_10splitCubic_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_28splitCubic(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4, PyObject *__pyx_v_where, PyObject *__pyx_v_isHorizontal); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_30splitQuadraticAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_ts); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_32splitCubicAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4, PyObject *__pyx_v_ts); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_34splitCubicAtTC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4, PyObject *__pyx_v_ts); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_37splitCubicIntoTwoAtTC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4, double __pyx_v_t); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_39_splitQuadraticAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_ts); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_41_splitCubicAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_d, PyObject *__pyx_v_ts); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_43_splitCubicAtTC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_a, __pyx_t_double_complex __pyx_v_b, __pyx_t_double_complex __pyx_v_c, __pyx_t_double_complex __pyx_v_d, PyObject *__pyx_v_ts); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_96__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_46solveQuadratic(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_sqrt); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_48solveCubic(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_d); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_50calcQuadraticParameters(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_52calcCubicParameters(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_54calcQuadraticPoints(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_56calcCubicPoints(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_d); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_58linePointAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_60quadraticPointAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_62cubicPointAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_64cubicPointAtTC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4, double __pyx_v_t); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_66segmentPointAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_seg, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_68_line_t_of_pt(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_s, PyObject *__pyx_v_e, PyObject *__pyx_v_pt); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_70_both_points_are_on_same_side_of_origin(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_origin); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_72lineLineIntersections(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_s1, PyObject *__pyx_v_e1, PyObject *__pyx_v_s2, PyObject *__pyx_v_e2); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_74_alignment_transformation(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_segment); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_27_curve_line_intersections_t_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_76_curve_line_intersections_t(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_curve, PyObject *__pyx_v_line); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_78curveLineIntersections(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_curve, PyObject *__pyx_v_line); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_80_curve_bounds(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_c); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_82_split_segment_at_t(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_c, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_midpoint(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_r); /* proto */
static PyObject *__pyx_lambda_funcdef_lambda3(PyObject *__pyx_self, PyObject *__pyx_v_ts); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_84_curve_curve_intersections_t(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_curve1, PyObject *__pyx_v_curve2, PyObject *__pyx_v_precision, PyObject *__pyx_v_range1, PyObject *__pyx_v_range2); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_12_is_linelike_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_86_is_linelike(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_segment); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_88curveCurveIntersections(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_curve1, PyObject *__pyx_v_curve2); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_90segmentSegmentIntersections(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_seg1, PyObject *__pyx_v_seg2); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_12_segmentrepr_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_92_segmentrepr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_94printSegments(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_segments); /* proto */
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_defaults(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
/* #### Code section: late_includes ### */
/* #### Code section: module_state ### */
/* SmallCodeConfig */
#ifndef CYTHON_SMALL_CODE
#if defined(__clang__)
    #define CYTHON_SMALL_CODE
#elif defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 3))
    #define CYTHON_SMALL_CODE __attribute__((cold))
#else
    #define CYTHON_SMALL_CODE
#endif
#endif

typedef struct {
  PyObject *__pyx_d;
  PyObject *__pyx_b;
  PyObject *__pyx_cython_runtime;
  PyObject *__pyx_empty_tuple;
  PyObject *__pyx_empty_bytes;
  PyObject *__pyx_empty_unicode;
  PyObject *__pyx_type_9fontTools_4misc_11bezierTools___pyx_defaults;
  PyObject *__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr;
  PyObject *__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr;
  PyObject *__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC;
  PyObject *__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC;
  PyObject *__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr;
  PyObject *__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t;
  PyObject *__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr;
  PyObject *__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr;
  PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_defaults;
  PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr;
  PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr;
  PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC;
  PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC;
  PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr;
  PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t;
  PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr;
  PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr;
  __Pyx_CachedCFunction __pyx_umethod_PyDict_Type_items;
  __Pyx_CachedCFunction __pyx_umethod_PyDict_Type_pop;
  __Pyx_CachedCFunction __pyx_umethod_PyDict_Type_values;
  PyObject *__pyx_slice[2];
  PyObject *__pyx_tuple[4];
  PyObject *__pyx_codeobj_tab[54];
  PyObject *__pyx_string_tab[387];
  PyObject *__pyx_number_tab[21];
/* #### Code section: module_state_contents ### */
/* CommonTypesMetaclass.module_state_decls */
PyTypeObject *__pyx_CommonTypesMetaclassType;

/* IterNextPlain.module_state_decls */
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
PyObject *__Pyx_GetBuiltinNext_LimitedAPI_cache;
#endif

/* Generator.module_state_decls */
PyTypeObject *__pyx_GeneratorType;

/* CachedMethodType.module_state_decls */
#if CYTHON_COMPILING_IN_LIMITED_API
PyObject *__Pyx_CachedMethodType;
#endif

/* CythonFunctionShared.module_state_decls */
PyTypeObject *__pyx_CyFunctionType;


#if CYTHON_USE_FREELISTS
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr[8];
int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr;
#endif

#if CYTHON_USE_FREELISTS
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr[8];
int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr;
#endif

#if CYTHON_USE_FREELISTS
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC[8];
int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC;
#endif

#if CYTHON_USE_FREELISTS
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC[8];
int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC;
#endif

#if CYTHON_USE_FREELISTS
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr[8];
int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr;
#endif

#if CYTHON_USE_FREELISTS
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t[8];
int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t;
#endif

#if CYTHON_USE_FREELISTS
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr[8];
int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr;
#endif

#if CYTHON_USE_FREELISTS
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr[8];
int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr;
#endif
/* CodeObjectCache.module_state_decls */
struct __Pyx_CodeObjectCache __pyx_code_cache;

/* #### Code section: module_state_end ### */
} __pyx_mstatetype;

#if CYTHON_USE_MODULE_STATE
#ifdef __cplusplus
namespace {
extern struct PyModuleDef __pyx_moduledef;
} /* anonymous namespace */
#else
static struct PyModuleDef __pyx_moduledef;
#endif

#define __pyx_mstate_global (__Pyx_PyModule_GetState(__Pyx_State_FindModule(&__pyx_moduledef)))

#define __pyx_m (__Pyx_State_FindModule(&__pyx_moduledef))
#else
static __pyx_mstatetype __pyx_mstate_global_static =
#ifdef __cplusplus
    {};
#else
    {0};
#endif
static __pyx_mstatetype * const __pyx_mstate_global = &__pyx_mstate_global_static;
#endif
/* #### Code section: constant_name_defines ### */
#define __pyx_kp_u_ __pyx_string_tab[0]
#define __pyx_kp_u_Approximates_the_arc_length_for __pyx_string_tab[1]
#define __pyx_kp_u_Calculates_the_arc_length_for_a __pyx_string_tab[2]
#define __pyx_kp_u_Calculates_the_bounding_rectangl __pyx_string_tab[3]
#define __pyx_kp_u_Calculates_the_bounding_rectangl_2 __pyx_string_tab[4]
#define __pyx_kp_u_Couldn_t_work_out_which_intersec __pyx_string_tab[5]
#define __pyx_kp_u_Finds_intersections_between_a_cu __pyx_string_tab[6]
#define __pyx_kp_u_Finds_intersections_between_a_cu_2 __pyx_string_tab[7]
#define __pyx_kp_u_Finds_intersections_between_two __pyx_string_tab[8]
#define __pyx_kp_u_Finds_intersections_between_two_2 __pyx_string_tab[9]
#define __pyx_kp_u_Lib_fontTools_misc_bezierTools_p __pyx_string_tab[10]
#define __pyx_kp_u_Solve_a_cubic_equation_Solves_a __pyx_string_tab[11]
#define __pyx_kp_u_Split_a_cubic_Bezier_curve_at_a __pyx_string_tab[12]
#define __pyx_kp_u_Split_a_cubic_Bezier_curve_at_on __pyx_string_tab[13]
#define __pyx_kp_u_Split_a_line_at_a_given_coordina __pyx_string_tab[14]
#define __pyx_kp_u_Split_a_quadratic_Bezier_curve_a __pyx_string_tab[15]
#define __pyx_kp_u_Split_a_quadratic_Bezier_curve_a_2 __pyx_string_tab[16]
#define __pyx_kp_u_Unknown_curve_degree __pyx_string_tab[17]
#define __pyx_kp_u__2 __pyx_string_tab[18]
#define __pyx_kp_u__3 __pyx_string_tab[19]
#define __pyx_kp_u_approximateCubicArcLength_line_3 __pyx_string_tab[20]
#define __pyx_kp_u_calcCubicBounds_line_412 __pyx_string_tab[21]
#define __pyx_kp_u_calcQuadraticArcLength_line_151 __pyx_string_tab[22]
#define __pyx_kp_u_calcQuadraticBounds_line_298 __pyx_string_tab[23]
#define __pyx_kp_u_curveCurveIntersections_line_138 __pyx_string_tab[24]
#define __pyx_kp_u_curveLineIntersections_line_1255 __pyx_string_tab[25]
#define __pyx_kp_u_disable __pyx_string_tab[26]
#define __pyx_kp_u_enable __pyx_string_tab[27]
#define __pyx_kp_u_g __pyx_string_tab[28]
#define __pyx_kp_u_gc __pyx_string_tab[29]
#define __pyx_kp_u_isenabled __pyx_string_tab[30]
#define __pyx_kp_u_lineLineIntersections_line_1154 __pyx_string_tab[31]
#define __pyx_kp_u_s_2 __pyx_string_tab[32]
#define __pyx_kp_u_segmentSegmentIntersections_line __pyx_string_tab[33]
#define __pyx_kp_u_segmentrepr_1_2_3_2_3_4_0_1_2 __pyx_string_tab[34]
#define __pyx_kp_u_segmentrepr_line_1475 __pyx_string_tab[35]
#define __pyx_kp_u_solveCubic_line_848 __pyx_string_tab[36]
#define __pyx_kp_u_splitCubicAtT_line_613 __pyx_string_tab[37]
#define __pyx_kp_u_splitCubic_line_552 __pyx_string_tab[38]
#define __pyx_kp_u_splitLine_line_450 __pyx_string_tab[39]
#define __pyx_kp_u_splitQuadraticAtT_line_589 __pyx_string_tab[40]
#define __pyx_kp_u_splitQuadratic_line_507 __pyx_string_tab[41]
#define __pyx_n_u_1_t __pyx_string_tab[42]
#define __pyx_n_u_1_t_2 __pyx_string_tab[43]
#define __pyx_n_u_2_t_1_t __pyx_string_tab[44]
#define __pyx_n_u_COMPILED __pyx_string_tab[45]
#define __pyx_n_u_DD __pyx_string_tab[46]
#define __pyx_n_u_EPSILON __pyx_string_tab[47]
#define __pyx_n_u_Identity __pyx_string_tab[48]
#define __pyx_n_u_Intersection __pyx_string_tab[49]
#define __pyx_n_u_Len __pyx_string_tab[50]
#define __pyx_n_u_Pyx_PyDict_NextRef __pyx_string_tab[51]
#define __pyx_n_u_Q __pyx_string_tab[52]
#define __pyx_n_u_Q3 __pyx_string_tab[53]
#define __pyx_n_u_R __pyx_string_tab[54]
#define __pyx_n_u_R2 __pyx_string_tab[55]
#define __pyx_n_u_R2_Q3 __pyx_string_tab[56]
#define __pyx_n_u__6 __pyx_string_tab[57]
#define __pyx_n_u_a __pyx_string_tab[58]
#define __pyx_n_u_a1 __pyx_string_tab[59]
#define __pyx_n_u_a1_3 __pyx_string_tab[60]
#define __pyx_n_u_a1x __pyx_string_tab[61]
#define __pyx_n_u_a1y __pyx_string_tab[62]
#define __pyx_n_u_a2 __pyx_string_tab[63]
#define __pyx_n_u_a3 __pyx_string_tab[64]
#define __pyx_n_u_acos __pyx_string_tab[65]
#define __pyx_n_u_aligned_curve __pyx_string_tab[66]
#define __pyx_n_u_alignment_transformation __pyx_string_tab[67]
#define __pyx_n_u_all __pyx_string_tab[68]
#define __pyx_n_u_angle __pyx_string_tab[69]
#define __pyx_n_u_append __pyx_string_tab[70]
#define __pyx_n_u_approximateCubicArcLength __pyx_string_tab[71]
#define __pyx_n_u_approximateCubicArcLengthC __pyx_string_tab[72]
#define __pyx_n_u_approximateQuadraticArcLength __pyx_string_tab[73]
#define __pyx_n_u_approximateQuadraticArcLengthC __pyx_string_tab[74]
#define __pyx_n_u_arch __pyx_string_tab[75]
#define __pyx_n_u_asinh __pyx_string_tab[76]
#define __pyx_n_u_asyncio_coroutines __pyx_string_tab[77]
#define __pyx_n_u_atan2 __pyx_string_tab[78]
#define __pyx_n_u_ax __pyx_string_tab[79]
#define __pyx_n_u_ax2 __pyx_string_tab[80]
#define __pyx_n_u_ax3 __pyx_string_tab[81]
#define __pyx_n_u_ay __pyx_string_tab[82]
#define __pyx_n_u_ay2 __pyx_string_tab[83]
#define __pyx_n_u_ay3 __pyx_string_tab[84]
#define __pyx_n_u_b __pyx_string_tab[85]
#define __pyx_n_u_b1 __pyx_string_tab[86]
#define __pyx_n_u_b1x __pyx_string_tab[87]
#define __pyx_n_u_b1y __pyx_string_tab[88]
#define __pyx_n_u_both_points_are_on_same_side_of __pyx_string_tab[89]
#define __pyx_n_u_bounds1 __pyx_string_tab[90]
#define __pyx_n_u_bounds2 __pyx_string_tab[91]
#define __pyx_n_u_box __pyx_string_tab[92]
#define __pyx_n_u_bx __pyx_string_tab[93]
#define __pyx_n_u_bx2 __pyx_string_tab[94]
#define __pyx_n_u_by __pyx_string_tab[95]
#define __pyx_n_u_by2 __pyx_string_tab[96]
#define __pyx_n_u_c __pyx_string_tab[97]
#define __pyx_n_u_c1 __pyx_string_tab[98]
#define __pyx_n_u_c11 __pyx_string_tab[99]
#define __pyx_n_u_c11_range __pyx_string_tab[100]
#define __pyx_n_u_c12 __pyx_string_tab[101]
#define __pyx_n_u_c12_range __pyx_string_tab[102]
#define __pyx_n_u_c1x __pyx_string_tab[103]
#define __pyx_n_u_c1y __pyx_string_tab[104]
#define __pyx_n_u_c21 __pyx_string_tab[105]
#define __pyx_n_u_c21_range __pyx_string_tab[106]
#define __pyx_n_u_c22 __pyx_string_tab[107]
#define __pyx_n_u_c22_range __pyx_string_tab[108]
#define __pyx_n_u_calcBounds __pyx_string_tab[109]
#define __pyx_n_u_calcCubicArcLength __pyx_string_tab[110]
#define __pyx_n_u_calcCubicArcLengthC __pyx_string_tab[111]
#define __pyx_n_u_calcCubicArcLengthCRecurse __pyx_string_tab[112]
#define __pyx_n_u_calcCubicBounds __pyx_string_tab[113]
#define __pyx_n_u_calcCubicParameters __pyx_string_tab[114]
#define __pyx_n_u_calcCubicPoints __pyx_string_tab[115]
#define __pyx_n_u_calcQuadraticArcLength __pyx_string_tab[116]
#define __pyx_n_u_calcQuadraticArcLengthC __pyx_string_tab[117]
#define __pyx_n_u_calcQuadraticBounds __pyx_string_tab[118]
#define __pyx_n_u_calcQuadraticParameters __pyx_string_tab[119]
#define __pyx_n_u_calcQuadraticPoints __pyx_string_tab[120]
#define __pyx_n_u_class_getitem __pyx_string_tab[121]
#define __pyx_n_u_cline_in_traceback __pyx_string_tab[122]
#define __pyx_n_u_close __pyx_string_tab[123]
#define __pyx_n_u_collections __pyx_string_tab[124]
#define __pyx_n_u_cos __pyx_string_tab[125]
#define __pyx_n_u_cubicPointAtT __pyx_string_tab[126]
#define __pyx_n_u_cubicPointAtTC __pyx_string_tab[127]
#define __pyx_n_u_curve __pyx_string_tab[128]
#define __pyx_n_u_curve1 __pyx_string_tab[129]
#define __pyx_n_u_curve2 __pyx_string_tab[130]
#define __pyx_n_u_curveCurveIntersections __pyx_string_tab[131]
#define __pyx_n_u_curveLineIntersections __pyx_string_tab[132]
#define __pyx_n_u_curve_bounds __pyx_string_tab[133]
#define __pyx_n_u_curve_curve_intersections_t __pyx_string_tab[134]
#define __pyx_n_u_curve_curve_intersections_t_loc __pyx_string_tab[135]
#define __pyx_n_u_curve_curve_intersections_t_loc_2 __pyx_string_tab[136]
#define __pyx_n_u_curve_line_intersections_t __pyx_string_tab[137]
#define __pyx_n_u_curve_line_intersections_t_loca __pyx_string_tab[138]
#define __pyx_n_u_cx __pyx_string_tab[139]
#define __pyx_n_u_cy __pyx_string_tab[140]
#define __pyx_n_u_d __pyx_string_tab[141]
#define __pyx_n_u_d0 __pyx_string_tab[142]
#define __pyx_n_u_d1 __pyx_string_tab[143]
#define __pyx_n_u_d1x __pyx_string_tab[144]
#define __pyx_n_u_d1y __pyx_string_tab[145]
#define __pyx_n_u_delta __pyx_string_tab[146]
#define __pyx_n_u_delta_2 __pyx_string_tab[147]
#define __pyx_n_u_delta_3 __pyx_string_tab[148]
#define __pyx_n_u_deriv3 __pyx_string_tab[149]
#define __pyx_n_u_doctest __pyx_string_tab[150]
#define __pyx_n_u_dx __pyx_string_tab[151]
#define __pyx_n_u_dy __pyx_string_tab[152]
#define __pyx_n_u_e __pyx_string_tab[153]
#define __pyx_n_u_e1 __pyx_string_tab[154]
#define __pyx_n_u_e1x __pyx_string_tab[155]
#define __pyx_n_u_e1y __pyx_string_tab[156]
#define __pyx_n_u_e2 __pyx_string_tab[157]
#define __pyx_n_u_e2x __pyx_string_tab[158]
#define __pyx_n_u_e2y __pyx_string_tab[159]
#define __pyx_n_u_end __pyx_string_tab[160]
#define __pyx_n_u_epsilon __pyx_string_tab[161]
#define __pyx_n_u_epsilonDigits __pyx_string_tab[162]
#define __pyx_n_u_ex __pyx_string_tab[163]
#define __pyx_n_u_exit __pyx_string_tab[164]
#define __pyx_n_u_ey __pyx_string_tab[165]
#define __pyx_n_u_failed __pyx_string_tab[166]
#define __pyx_n_u_fontTools_misc_arrayTools __pyx_string_tab[167]
#define __pyx_n_u_fontTools_misc_bezierTools __pyx_string_tab[168]
#define __pyx_n_u_fontTools_misc_transform __pyx_string_tab[169]
#define __pyx_n_u_found __pyx_string_tab[170]
#define __pyx_n_u_func __pyx_string_tab[171]
#define __pyx_n_u_genexpr __pyx_string_tab[172]
#define __pyx_n_u_hits __pyx_string_tab[173]
#define __pyx_n_u_i __pyx_string_tab[174]
#define __pyx_n_u_insert __pyx_string_tab[175]
#define __pyx_n_u_intersection_ts __pyx_string_tab[176]
#define __pyx_n_u_intersections __pyx_string_tab[177]
#define __pyx_n_u_intersects __pyx_string_tab[178]
#define __pyx_n_u_isHorizontal __pyx_string_tab[179]
#define __pyx_n_u_is_coroutine __pyx_string_tab[180]
#define __pyx_n_u_is_linelike __pyx_string_tab[181]
#define __pyx_n_u_is_linelike_locals_genexpr __pyx_string_tab[182]
#define __pyx_n_u_isclose __pyx_string_tab[183]
#define __pyx_n_u_it __pyx_string_tab[184]
#define __pyx_n_u_items __pyx_string_tab[185]
#define __pyx_n_u_key __pyx_string_tab[186]
#define __pyx_n_u_lambda __pyx_string_tab[187]
#define __pyx_n_u_line __pyx_string_tab[188]
#define __pyx_n_u_line1 __pyx_string_tab[189]
#define __pyx_n_u_line2 __pyx_string_tab[190]
#define __pyx_n_u_lineLineIntersections __pyx_string_tab[191]
#define __pyx_n_u_linePointAtT __pyx_string_tab[192]
#define __pyx_n_u_line_t __pyx_string_tab[193]
#define __pyx_n_u_line_t_of_pt __pyx_string_tab[194]
#define __pyx_n_u_main __pyx_string_tab[195]
#define __pyx_n_u_math __pyx_string_tab[196]
#define __pyx_n_u_maybeline __pyx_string_tab[197]
#define __pyx_n_u_mid __pyx_string_tab[198]
#define __pyx_n_u_midPt __pyx_string_tab[199]
#define __pyx_n_u_midpoint __pyx_string_tab[200]
#define __pyx_n_u_module __pyx_string_tab[201]
#define __pyx_n_u_mult __pyx_string_tab[202]
#define __pyx_n_u_n __pyx_string_tab[203]
#define __pyx_n_u_name __pyx_string_tab[204]
#define __pyx_n_u_namedtuple __pyx_string_tab[205]
#define __pyx_n_u_next __pyx_string_tab[206]
#define __pyx_n_u_obj __pyx_string_tab[207]
#define __pyx_n_u_off1 __pyx_string_tab[208]
#define __pyx_n_u_off2 __pyx_string_tab[209]
#define __pyx_n_u_one __pyx_string_tab[210]
#define __pyx_n_u_origDist __pyx_string_tab[211]
#define __pyx_n_u_origin __pyx_string_tab[212]
#define __pyx_n_u_p __pyx_string_tab[213]
#define __pyx_n_u_p0 __pyx_string_tab[214]
#define __pyx_n_u_p1 __pyx_string_tab[215]
#define __pyx_n_u_p2 __pyx_string_tab[216]
#define __pyx_n_u_p3 __pyx_string_tab[217]
#define __pyx_n_u_pi __pyx_string_tab[218]
#define __pyx_n_u_pointAtT __pyx_string_tab[219]
#define __pyx_n_u_pointFinder __pyx_string_tab[220]
#define __pyx_n_u_points __pyx_string_tab[221]
#define __pyx_n_u_pop __pyx_string_tab[222]
#define __pyx_n_u_precision __pyx_string_tab[223]
#define __pyx_n_u_print __pyx_string_tab[224]
#define __pyx_n_u_printSegments __pyx_string_tab[225]
#define __pyx_n_u_pt __pyx_string_tab[226]
#define __pyx_n_u_pt1 __pyx_string_tab[227]
#define __pyx_n_u_pt1x __pyx_string_tab[228]
#define __pyx_n_u_pt1y __pyx_string_tab[229]
#define __pyx_n_u_pt2 __pyx_string_tab[230]
#define __pyx_n_u_pt2x __pyx_string_tab[231]
#define __pyx_n_u_pt2y __pyx_string_tab[232]
#define __pyx_n_u_pt3 __pyx_string_tab[233]
#define __pyx_n_u_pt4 __pyx_string_tab[234]
#define __pyx_n_u_px __pyx_string_tab[235]
#define __pyx_n_u_py __pyx_string_tab[236]
#define __pyx_n_u_quadraticPointAtT __pyx_string_tab[237]
#define __pyx_n_u_qualname __pyx_string_tab[238]
#define __pyx_n_u_r __pyx_string_tab[239]
#define __pyx_n_u_rDD __pyx_string_tab[240]
#define __pyx_n_u_rQ2 __pyx_string_tab[241]
#define __pyx_n_u_range1 __pyx_string_tab[242]
#define __pyx_n_u_range2 __pyx_string_tab[243]
#define __pyx_n_u_rectArea __pyx_string_tab[244]
#define __pyx_n_u_roots __pyx_string_tab[245]
#define __pyx_n_u_rotate __pyx_string_tab[246]
#define __pyx_n_u_round __pyx_string_tab[247]
#define __pyx_n_u_s __pyx_string_tab[248]
#define __pyx_n_u_s1 __pyx_string_tab[249]
#define __pyx_n_u_s1x __pyx_string_tab[250]
#define __pyx_n_u_s1y __pyx_string_tab[251]
#define __pyx_n_u_s2 __pyx_string_tab[252]
#define __pyx_n_u_s2x __pyx_string_tab[253]
#define __pyx_n_u_s2y __pyx_string_tab[254]
#define __pyx_n_u_scale __pyx_string_tab[255]
#define __pyx_n_u_sectRect __pyx_string_tab[256]
#define __pyx_n_u_seen __pyx_string_tab[257]
#define __pyx_n_u_seg __pyx_string_tab[258]
#define __pyx_n_u_seg1 __pyx_string_tab[259]
#define __pyx_n_u_seg2 __pyx_string_tab[260]
#define __pyx_n_u_segment __pyx_string_tab[261]
#define __pyx_n_u_segmentPointAtT __pyx_string_tab[262]
#define __pyx_n_u_segmentSegmentIntersections __pyx_string_tab[263]
#define __pyx_n_u_segmentrepr __pyx_string_tab[264]
#define __pyx_n_u_segmentrepr_locals_genexpr __pyx_string_tab[265]
#define __pyx_n_u_segments __pyx_string_tab[266]
#define __pyx_n_u_send __pyx_string_tab[267]
#define __pyx_n_u_set_name __pyx_string_tab[268]
#define __pyx_n_u_setdefault __pyx_string_tab[269]
#define __pyx_n_u_slope12 __pyx_string_tab[270]
#define __pyx_n_u_slope34 __pyx_string_tab[271]
#define __pyx_n_u_solutions __pyx_string_tab[272]
#define __pyx_n_u_solveCubic __pyx_string_tab[273]
#define __pyx_n_u_solveQuadratic __pyx_string_tab[274]
#define __pyx_n_u_split __pyx_string_tab[275]
#define __pyx_n_u_splitCubic __pyx_string_tab[276]
#define __pyx_n_u_splitCubicAtT __pyx_string_tab[277]
#define __pyx_n_u_splitCubicAtTC __pyx_string_tab[278]
#define __pyx_n_u_splitCubicAtTC_2 __pyx_string_tab[279]
#define __pyx_n_u_splitCubicAtT_2 __pyx_string_tab[280]
#define __pyx_n_u_splitCubicIntoTwoAtTC __pyx_string_tab[281]
#define __pyx_n_u_splitCubic_locals_genexpr __pyx_string_tab[282]
#define __pyx_n_u_splitLine __pyx_string_tab[283]
#define __pyx_n_u_splitQuadratic __pyx_string_tab[284]
#define __pyx_n_u_splitQuadraticAtT __pyx_string_tab[285]
#define __pyx_n_u_splitQuadraticAtT_2 __pyx_string_tab[286]
#define __pyx_n_u_splitQuadratic_locals_genexpr __pyx_string_tab[287]
#define __pyx_n_u_split_cubic_into_two __pyx_string_tab[288]
#define __pyx_n_u_split_segment_at_t __pyx_string_tab[289]
#define __pyx_n_u_sqrt __pyx_string_tab[290]
#define __pyx_n_u_start __pyx_string_tab[291]
#define __pyx_n_u_swapped __pyx_string_tab[292]
#define __pyx_n_u_sx __pyx_string_tab[293]
#define __pyx_n_u_sy __pyx_string_tab[294]
#define __pyx_n_u_sys __pyx_string_tab[295]
#define __pyx_n_u_t __pyx_string_tab[296]
#define __pyx_n_u_t1 __pyx_string_tab[297]
#define __pyx_n_u_t1_2 __pyx_string_tab[298]
#define __pyx_n_u_t1_3 __pyx_string_tab[299]
#define __pyx_n_u_t2 __pyx_string_tab[300]
#define __pyx_n_u_test __pyx_string_tab[301]
#define __pyx_n_u_testmod __pyx_string_tab[302]
#define __pyx_n_u_theta __pyx_string_tab[303]
#define __pyx_n_u_throw __pyx_string_tab[304]
#define __pyx_n_u_tolerance __pyx_string_tab[305]
#define __pyx_n_u_transformPoints __pyx_string_tab[306]
#define __pyx_n_u_translate __pyx_string_tab[307]
#define __pyx_n_u_ts __pyx_string_tab[308]
#define __pyx_n_u_two __pyx_string_tab[309]
#define __pyx_n_u_unique_key __pyx_string_tab[310]
#define __pyx_n_u_unique_values __pyx_string_tab[311]
#define __pyx_n_u_v0 __pyx_string_tab[312]
#define __pyx_n_u_v1 __pyx_string_tab[313]
#define __pyx_n_u_v2 __pyx_string_tab[314]
#define __pyx_n_u_v3 __pyx_string_tab[315]
#define __pyx_n_u_v4 __pyx_string_tab[316]
#define __pyx_n_u_value __pyx_string_tab[317]
#define __pyx_n_u_values __pyx_string_tab[318]
#define __pyx_n_u_where __pyx_string_tab[319]
#define __pyx_n_u_x __pyx_string_tab[320]
#define __pyx_n_u_x0 __pyx_string_tab[321]
#define __pyx_n_u_x1 __pyx_string_tab[322]
#define __pyx_n_u_x2 __pyx_string_tab[323]
#define __pyx_n_u_x3 __pyx_string_tab[324]
#define __pyx_n_u_x4 __pyx_string_tab[325]
#define __pyx_n_u_xDiff __pyx_string_tab[326]
#define __pyx_n_u_xRoots __pyx_string_tab[327]
#define __pyx_n_u_y __pyx_string_tab[328]
#define __pyx_n_u_y1 __pyx_string_tab[329]
#define __pyx_n_u_y2 __pyx_string_tab[330]
#define __pyx_n_u_y3 __pyx_string_tab[331]
#define __pyx_n_u_y4 __pyx_string_tab[332]
#define __pyx_n_u_yDiff __pyx_string_tab[333]
#define __pyx_n_u_yRoots __pyx_string_tab[334]
#define __pyx_kp_b_iso88591_0_2Q_2Rq_U_A_r_2Rq_r_b_Bb_7_Bb __pyx_string_tab[335]
#define __pyx_kp_b_iso88591_1 __pyx_string_tab[336]
#define __pyx_kp_b_iso88591_1A_at6_1_q_F_4vRq_1L_AU_Qe3auD __pyx_string_tab[337]
#define __pyx_kp_b_iso88591_1_Ql_1 __pyx_string_tab[338]
#define __pyx_kp_b_iso88591_1_a_r_wb_gRvWBfA __pyx_string_tab[339]
#define __pyx_kp_b_iso88591_2B_1_1 __pyx_string_tab[340]
#define __pyx_kp_b_iso88591_2Q_2Rq_U_A_7_E_4r_3gRr_4r_b_2U __pyx_string_tab[341]
#define __pyx_kp_b_iso88591_2Q_2Rq_U_A_r_b_1A_Cwb_Cq_2U_Cr __pyx_string_tab[342]
#define __pyx_kp_b_iso88591_2S_2Rs_Cq_2Rs_Bc_2Rs_3b_Bb_1A_2 __pyx_string_tab[343]
#define __pyx_kp_b_iso88591_2_Q_r_wb_gRvWBa __pyx_string_tab[344]
#define __pyx_kp_b_iso88591_3as_A_Qc_4r_AS_b_1Cr_uBe2XS_RuB __pyx_string_tab[345]
#define __pyx_kp_b_iso88591_3b_S_b_Ba_c_3b_2T_1_c_4r_d_HA_d __pyx_string_tab[346]
#define __pyx_kp_b_iso88591_4r_Rq_avU_uA __pyx_string_tab[347]
#define __pyx_kp_b_iso88591_6_rQR __pyx_string_tab[348]
#define __pyx_kp_b_iso88591_6_s_T_AU_uA_1O1A_2Q_aq_t1_r_e5 __pyx_string_tab[349]
#define __pyx_kp_b_iso88591_7_F_6 __pyx_string_tab[350]
#define __pyx_kp_b_iso88591_AS_Cr_3b_1Cr_c_S_Cr_AS __pyx_string_tab[351]
#define __pyx_kp_b_iso88591_AT_5_A_2Q_Ba_Ba_Ba_AT_4r_RuBa_A __pyx_string_tab[352]
#define __pyx_kp_b_iso88591_A_t3aq_2Qaq __pyx_string_tab[353]
#define __pyx_kp_b_iso88591_B_A_2T_5Rt2_PPRRS_AT_5_A_Bd_6b __pyx_string_tab[354]
#define __pyx_kp_b_iso88591_F_s_Qe5_a_1N_A_aq_t1_r_e1_Qc_D __pyx_string_tab[355]
#define __pyx_kp_b_iso88591_G1A_1_D_as_3b_Qd_Qc_5_87_1F_AQe __pyx_string_tab[356]
#define __pyx_kp_b_iso88591_H_b_b_S_r_A_r_a_s_c_1_r_D_2Rr_S __pyx_string_tab[357]
#define __pyx_kp_b_iso88591_L_s_3b_Qc_A_Qa_2Q_2Q_2Q_Bc_4r_R __pyx_string_tab[358]
#define __pyx_kp_b_iso88591_M_m1A_m1A_t1_q_t1_q_HAYa_t1_q_x __pyx_string_tab[359]
#define __pyx_kp_b_iso88591_Q_Q_Q_Q_Rt2Q_Rt2Q_Rt2T_1_Rt2T_1 __pyx_string_tab[360]
#define __pyx_kp_b_iso88591_Q_Q_Q_Q_RuBa_RuBa_Rt2T_1_Rt2T_1 __pyx_string_tab[361]
#define __pyx_kp_b_iso88591_Q_Q_Q_Rt2Q_Rt2Q_Bc_1_Bc_1_1D_d __pyx_string_tab[362]
#define __pyx_kp_b_iso88591_Q_Q_Q_RuBa_RuBa_Bc_1_Bc_1_1D_d __pyx_string_tab[363]
#define __pyx_kp_b_iso88591_Q_Q_Q_s_3b_Bhd_Qc_4r_s_3b_Bc_Rq __pyx_string_tab[364]
#define __pyx_kp_b_iso88591_Qa_gQc_gQa_q_Q_Q_Q_Q_U_3at2Q_Rq __pyx_string_tab[365]
#define __pyx_kp_b_iso88591_Qa_q_gQc_gQa_Q_Q_Q_U_3at2Q_Rq_R __pyx_string_tab[366]
#define __pyx_kp_b_iso88591_Qas_F_4s_1Cr_q_Qas_F_4s_1Cr_q_5 __pyx_string_tab[367]
#define __pyx_kp_b_iso88591_Qe3C1A_s_7_Q_3d_1_aq_Qat1AQ_AWC __pyx_string_tab[368]
#define __pyx_kp_b_iso88591_Rq_Rq_2Q_A_Cq_vS_s_4r_t1Cq_s_Rq __pyx_string_tab[369]
#define __pyx_kp_b_iso88591_S_1Cr_S_1Cr __pyx_string_tab[370]
#define __pyx_kp_b_iso88591_T_t6_V4v_e5PQ_Rq_Rq_Rq_Rq_Qb_E __pyx_string_tab[371]
#define __pyx_kp_b_iso88591_T_t6_V_5_Q_Rq_Rq_A_t3a_WAQc_1_t __pyx_string_tab[372]
#define __pyx_kp_b_iso88591_T_uBa_wb_E_a __pyx_string_tab[373]
#define __pyx_kp_b_iso88591__4 __pyx_string_tab[374]
#define __pyx_kp_b_iso88591__5 __pyx_string_tab[375]
#define __pyx_kp_b_iso88591_a_2 __pyx_string_tab[376]
#define __pyx_kp_b_iso88591_a_s_6_3aq_gV1_s_6_1_3avRq_31F_2 __pyx_string_tab[377]
#define __pyx_kp_b_iso88591_q __pyx_string_tab[378]
#define __pyx_kp_b_iso88591_q_q_q_q_HAU_t4xq_U_d_hauTU_q_HA __pyx_string_tab[379]
#define __pyx_kp_b_iso88591_s_3b_3as_A_A_AQb_Rr_2T_2Rq_3c_a __pyx_string_tab[380]
#define __pyx_kp_b_iso88591_s_3c_4q_q_3a_r_L_s_3c_Q_AS_1_Bc __pyx_string_tab[381]
#define __pyx_kp_b_iso88591_s_3c_A_AS_1_b_AQ __pyx_string_tab[382]
#define __pyx_kp_b_iso88591_s_5_1_2U_AU_Q_q_AU_Q_Be1_AQ __pyx_string_tab[383]
#define __pyx_kp_b_iso88591_s_7_Q_a_AWCq_a_j_A_b_a_6_WA_T_C __pyx_string_tab[384]
#define __pyx_kp_b_iso88591_s_Qe5_Qc_D __pyx_string_tab[385]
#define __pyx_kp_b_iso88591_s_T_AU_uA_N_3c_D_e1Baq_6_r_3d_1 __pyx_string_tab[386]
#define __pyx_float_0_0 __pyx_number_tab[0]
#define __pyx_float_0_5 __pyx_number_tab[1]
#define __pyx_float_1_0 __pyx_number_tab[2]
#define __pyx_float_neg_2_0 __pyx_number_tab[3]
#define __pyx_float_2_0 __pyx_number_tab[4]
#define __pyx_float_3_0 __pyx_number_tab[5]
#define __pyx_float_4_0 __pyx_number_tab[6]
#define __pyx_float_9_0 __pyx_number_tab[7]
#define __pyx_float_1eneg_3 __pyx_number_tab[8]
#define __pyx_float_1eneg_9 __pyx_number_tab[9]
#define __pyx_float_27_0 __pyx_number_tab[10]
#define __pyx_float_54_0 __pyx_number_tab[11]
#define __pyx_float_0_005 __pyx_number_tab[12]
#define __pyx_float_0_125 __pyx_number_tab[13]
#define __pyx_float_1eneg_10 __pyx_number_tab[14]
#define __pyx_int_0 __pyx_number_tab[15]
#define __pyx_int_neg_1 __pyx_number_tab[16]
#define __pyx_int_1 __pyx_number_tab[17]
#define __pyx_int_2 __pyx_number_tab[18]
#define __pyx_int_3 __pyx_number_tab[19]
#define __pyx_int_6 __pyx_number_tab[20]
/* #### Code section: module_state_clear ### */
#if CYTHON_USE_MODULE_STATE
static CYTHON_SMALL_CODE int __pyx_m_clear(PyObject *m) {
  __pyx_mstatetype *clear_module_state = __Pyx_PyModule_GetState(m);
  if (!clear_module_state) return 0;
  Py_CLEAR(clear_module_state->__pyx_d);
  Py_CLEAR(clear_module_state->__pyx_b);
  Py_CLEAR(clear_module_state->__pyx_cython_runtime);
  Py_CLEAR(clear_module_state->__pyx_empty_tuple);
  Py_CLEAR(clear_module_state->__pyx_empty_bytes);
  Py_CLEAR(clear_module_state->__pyx_empty_unicode);
  #if CYTHON_PEP489_MULTI_PHASE_INIT
  __Pyx_State_RemoveModule(NULL);
  #endif
  Py_CLEAR(clear_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_defaults);
  Py_CLEAR(clear_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_defaults);
  Py_CLEAR(clear_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr);
  Py_CLEAR(clear_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr);
  Py_CLEAR(clear_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr);
  Py_CLEAR(clear_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr);
  Py_CLEAR(clear_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC);
  Py_CLEAR(clear_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC);
  Py_CLEAR(clear_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC);
  Py_CLEAR(clear_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC);
  Py_CLEAR(clear_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr);
  Py_CLEAR(clear_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr);
  Py_CLEAR(clear_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t);
  Py_CLEAR(clear_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t);
  Py_CLEAR(clear_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr);
  Py_CLEAR(clear_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr);
  Py_CLEAR(clear_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr);
  Py_CLEAR(clear_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr);
  for (int i=0; i<2; ++i) { Py_CLEAR(clear_module_state->__pyx_slice[i]); }
  for (int i=0; i<4; ++i) { Py_CLEAR(clear_module_state->__pyx_tuple[i]); }
  for (int i=0; i<54; ++i) { Py_CLEAR(clear_module_state->__pyx_codeobj_tab[i]); }
  for (int i=0; i<387; ++i) { Py_CLEAR(clear_module_state->__pyx_string_tab[i]); }
  for (int i=0; i<21; ++i) { Py_CLEAR(clear_module_state->__pyx_number_tab[i]); }
/* #### Code section: module_state_clear_contents ### */
/* CommonTypesMetaclass.module_state_clear */
Py_CLEAR(clear_module_state->__pyx_CommonTypesMetaclassType);

/* Generator.module_state_clear */
Py_CLEAR(clear_module_state->__pyx_GeneratorType);

/* CythonFunctionShared.module_state_clear */
Py_CLEAR(clear_module_state->__pyx_CyFunctionType);

/* #### Code section: module_state_clear_end ### */
return 0;
}
#endif
/* #### Code section: module_state_traverse ### */
#if CYTHON_USE_MODULE_STATE
static CYTHON_SMALL_CODE int __pyx_m_traverse(PyObject *m, visitproc visit, void *arg) {
  __pyx_mstatetype *traverse_module_state = __Pyx_PyModule_GetState(m);
  if (!traverse_module_state) return 0;
  Py_VISIT(traverse_module_state->__pyx_d);
  Py_VISIT(traverse_module_state->__pyx_b);
  Py_VISIT(traverse_module_state->__pyx_cython_runtime);
  __Pyx_VISIT_CONST(traverse_module_state->__pyx_empty_tuple);
  __Pyx_VISIT_CONST(traverse_module_state->__pyx_empty_bytes);
  __Pyx_VISIT_CONST(traverse_module_state->__pyx_empty_unicode);
  Py_VISIT(traverse_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_defaults);
  Py_VISIT(traverse_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_defaults);
  Py_VISIT(traverse_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr);
  Py_VISIT(traverse_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr);
  Py_VISIT(traverse_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr);
  Py_VISIT(traverse_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr);
  Py_VISIT(traverse_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC);
  Py_VISIT(traverse_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC);
  Py_VISIT(traverse_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC);
  Py_VISIT(traverse_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC);
  Py_VISIT(traverse_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr);
  Py_VISIT(traverse_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr);
  Py_VISIT(traverse_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t);
  Py_VISIT(traverse_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t);
  Py_VISIT(traverse_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr);
  Py_VISIT(traverse_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr);
  Py_VISIT(traverse_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr);
  Py_VISIT(traverse_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr);
  for (int i=0; i<2; ++i) { __Pyx_VISIT_CONST(traverse_module_state->__pyx_slice[i]); }
  for (int i=0; i<4; ++i) { __Pyx_VISIT_CONST(traverse_module_state->__pyx_tuple[i]); }
  for (int i=0; i<54; ++i) { __Pyx_VISIT_CONST(traverse_module_state->__pyx_codeobj_tab[i]); }
  for (int i=0; i<387; ++i) { __Pyx_VISIT_CONST(traverse_module_state->__pyx_string_tab[i]); }
  for (int i=0; i<21; ++i) { __Pyx_VISIT_CONST(traverse_module_state->__pyx_number_tab[i]); }
/* #### Code section: module_state_traverse_contents ### */
/* CommonTypesMetaclass.module_state_traverse */
Py_VISIT(traverse_module_state->__pyx_CommonTypesMetaclassType);

/* Generator.module_state_traverse */
Py_VISIT(traverse_module_state->__pyx_GeneratorType);

/* CythonFunctionShared.module_state_traverse */
Py_VISIT(traverse_module_state->__pyx_CyFunctionType);

/* #### Code section: module_state_traverse_end ### */
return 0;
}
#endif
/* #### Code section: module_code ### */

/* "fontTools/misc/bezierTools.py":56
 * 
 * 
 * def calcCubicArcLength(pt1, pt2, pt3, pt4, tolerance=0.005):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a cubic Bezier segment.
 * 
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_1calcCubicArcLength(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_calcCubicArcLength, "calcCubicArcLength(pt1, pt2, pt3, pt4, tolerance=0.005)\n\nCalculates the arc length for a cubic Bezier segment.\n\nWhereas :func:`approximateCubicArcLength` approximates the length, this\nfunction calculates it by \"measuring\", recursively dividing the curve\nuntil the divided segments are shorter than ``tolerance``.\n\nArgs:\n    pt1,pt2,pt3,pt4: Control points of the Bezier as 2D tuples.\n    tolerance: Controls the precision of the calcuation.\n\nReturns:\n    Arc length value.");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_1calcCubicArcLength = {"calcCubicArcLength", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_1calcCubicArcLength, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_calcCubicArcLength};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_1calcCubicArcLength(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  PyObject *__pyx_v_pt4 = 0;
  PyObject *__pyx_v_tolerance = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[5] = {0,0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("calcCubicArcLength (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_pt1,&__pyx_mstate_global->__pyx_n_u_pt2,&__pyx_mstate_global->__pyx_n_u_pt3,&__pyx_mstate_global->__pyx_n_u_pt4,&__pyx_mstate_global->__pyx_n_u_tolerance,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 56, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  5:
        values[4] = __Pyx_ArgRef_FASTCALL(__pyx_args, 4);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[4])) __PYX_ERR(0, 56, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 56, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 56, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 56, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 56, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "calcCubicArcLength", 0) < (0)) __PYX_ERR(0, 56, __pyx_L3_error)
      if (!values[4]) values[4] = __Pyx_NewRef(((PyObject *)((PyObject*)__pyx_mstate_global->__pyx_float_0_005)));
      for (Py_ssize_t i = __pyx_nargs; i < 4; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("calcCubicArcLength", 0, 4, 5, i); __PYX_ERR(0, 56, __pyx_L3_error) }
      }
    } else {
      switch (__pyx_nargs) {
        case  5:
        values[4] = __Pyx_ArgRef_FASTCALL(__pyx_args, 4);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[4])) __PYX_ERR(0, 56, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 56, __pyx_L3_error)
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 56, __pyx_L3_error)
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 56, __pyx_L3_error)
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 56, __pyx_L3_error)
        break;
        default: goto __pyx_L5_argtuple_error;
      }
      if (!values[4]) values[4] = __Pyx_NewRef(((PyObject *)((PyObject*)__pyx_mstate_global->__pyx_float_0_005)));
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
    __pyx_v_pt4 = values[3];
    __pyx_v_tolerance = values[4];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcCubicArcLength", 0, 4, 5, __pyx_nargs); __PYX_ERR(0, 56, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcCubicArcLength", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_calcCubicArcLength(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4, __pyx_v_tolerance);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_calcCubicArcLength(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4, PyObject *__pyx_v_tolerance) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  PyObject *__pyx_t_8 = NULL;
  size_t __pyx_t_9;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcCubicArcLength", 0);

  /* "fontTools/misc/bezierTools.py":70
 *         Arc length value.
 *     """
 *     return calcCubicArcLengthC(             # <<<<<<<<<<<<<<
 *         complex(*pt1), complex(*pt2), complex(*pt3), complex(*pt4), tolerance
 *     )
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_2 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_calcCubicArcLengthC); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 70, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);

  /* "fontTools/misc/bezierTools.py":71
 *     """
 *     return calcCubicArcLengthC(
 *         complex(*pt1), complex(*pt2), complex(*pt3), complex(*pt4), tolerance             # <<<<<<<<<<<<<<
 *     )
 * 
*/
  __pyx_t_4 = __Pyx_PySequence_Tuple(__pyx_v_pt1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 71, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_5 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_4, NULL); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 71, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = __Pyx_PySequence_Tuple(__pyx_v_pt2); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 71, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_6 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_4, NULL); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 71, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = __Pyx_PySequence_Tuple(__pyx_v_pt3); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 71, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_7 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_4, NULL); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 71, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = __Pyx_PySequence_Tuple(__pyx_v_pt4); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 71, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_8 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_4, NULL); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 71, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_8);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_9 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    assert(__pyx_t_2);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
    __pyx_t_9 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[6] = {__pyx_t_2, __pyx_t_5, __pyx_t_6, __pyx_t_7, __pyx_t_8, __pyx_v_tolerance};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_9, (6-__pyx_t_9) | (__pyx_t_9*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 70, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":56
 * 
 * 
 * def calcCubicArcLength(pt1, pt2, pt3, pt4, tolerance=0.005):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a cubic Bezier segment.
 * 
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcCubicArcLength", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":75
 * 
 * 
 * def _split_cubic_into_two(p0, p1, p2, p3):             # <<<<<<<<<<<<<<
 *     mid = (p0 + 3 * (p1 + p2) + p3) * 0.125
 *     deriv3 = (p3 + p2 - p1 - p0) * 0.125
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_3_split_cubic_into_two(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_2_split_cubic_into_two, "_split_cubic_into_two(p0, p1, p2, p3)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_3_split_cubic_into_two = {"_split_cubic_into_two", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_3_split_cubic_into_two, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_2_split_cubic_into_two};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_3_split_cubic_into_two(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_p0 = 0;
  PyObject *__pyx_v_p1 = 0;
  PyObject *__pyx_v_p2 = 0;
  PyObject *__pyx_v_p3 = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_split_cubic_into_two (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_p0,&__pyx_mstate_global->__pyx_n_u_p1,&__pyx_mstate_global->__pyx_n_u_p2,&__pyx_mstate_global->__pyx_n_u_p3,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 75, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 75, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 75, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 75, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 75, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "_split_cubic_into_two", 0) < (0)) __PYX_ERR(0, 75, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 4; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("_split_cubic_into_two", 1, 4, 4, i); __PYX_ERR(0, 75, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 75, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 75, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 75, __pyx_L3_error)
      values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 75, __pyx_L3_error)
    }
    __pyx_v_p0 = values[0];
    __pyx_v_p1 = values[1];
    __pyx_v_p2 = values[2];
    __pyx_v_p3 = values[3];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_split_cubic_into_two", 1, 4, 4, __pyx_nargs); __PYX_ERR(0, 75, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._split_cubic_into_two", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_2_split_cubic_into_two(__pyx_self, __pyx_v_p0, __pyx_v_p1, __pyx_v_p2, __pyx_v_p3);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_2_split_cubic_into_two(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_p0, PyObject *__pyx_v_p1, PyObject *__pyx_v_p2, PyObject *__pyx_v_p3) {
  PyObject *__pyx_v_mid = NULL;
  PyObject *__pyx_v_deriv3 = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_split_cubic_into_two", 0);

  /* "fontTools/misc/bezierTools.py":76
 * 
 * def _split_cubic_into_two(p0, p1, p2, p3):
 *     mid = (p0 + 3 * (p1 + p2) + p3) * 0.125             # <<<<<<<<<<<<<<
 *     deriv3 = (p3 + p2 - p1 - p0) * 0.125
 *     return (
*/
  __pyx_t_1 = PyNumber_Add(__pyx_v_p1, __pyx_v_p2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 76, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyLong_MultiplyCObj(__pyx_mstate_global->__pyx_int_3, __pyx_t_1, 3, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 76, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Add(__pyx_v_p0, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 76, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Add(__pyx_t_1, __pyx_v_p3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 76, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Multiply(__pyx_t_2, __pyx_mstate_global->__pyx_float_0_125); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 76, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_mid = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":77
 * def _split_cubic_into_two(p0, p1, p2, p3):
 *     mid = (p0 + 3 * (p1 + p2) + p3) * 0.125
 *     deriv3 = (p3 + p2 - p1 - p0) * 0.125             # <<<<<<<<<<<<<<
 *     return (
 *         (p0, (p0 + p1) * 0.5, mid - deriv3, mid),
*/
  __pyx_t_1 = PyNumber_Add(__pyx_v_p3, __pyx_v_p2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 77, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Subtract(__pyx_t_1, __pyx_v_p1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 77, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Subtract(__pyx_t_2, __pyx_v_p0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 77, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Multiply(__pyx_t_1, __pyx_mstate_global->__pyx_float_0_125); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 77, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_v_deriv3 = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":78
 *     mid = (p0 + 3 * (p1 + p2) + p3) * 0.125
 *     deriv3 = (p3 + p2 - p1 - p0) * 0.125
 *     return (             # <<<<<<<<<<<<<<
 *         (p0, (p0 + p1) * 0.5, mid - deriv3, mid),
 *         (mid, mid + deriv3, (p2 + p3) * 0.5, p3),
*/
  __Pyx_XDECREF(__pyx_r);

  /* "fontTools/misc/bezierTools.py":79
 *     deriv3 = (p3 + p2 - p1 - p0) * 0.125
 *     return (
 *         (p0, (p0 + p1) * 0.5, mid - deriv3, mid),             # <<<<<<<<<<<<<<
 *         (mid, mid + deriv3, (p2 + p3) * 0.5, p3),
 *     )
*/
  __pyx_t_2 = PyNumber_Add(__pyx_v_p0, __pyx_v_p1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 79, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyNumber_Multiply(__pyx_t_2, __pyx_mstate_global->__pyx_float_0_5); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 79, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Subtract(__pyx_v_mid, __pyx_v_deriv3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 79, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyTuple_New(4); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 79, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_INCREF(__pyx_v_p0);
  __Pyx_GIVEREF(__pyx_v_p0);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_p0) != (0)) __PYX_ERR(0, 79, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_1) != (0)) __PYX_ERR(0, 79, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 2, __pyx_t_2) != (0)) __PYX_ERR(0, 79, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_mid);
  __Pyx_GIVEREF(__pyx_v_mid);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 3, __pyx_v_mid) != (0)) __PYX_ERR(0, 79, __pyx_L1_error);
  __pyx_t_1 = 0;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":80
 *     return (
 *         (p0, (p0 + p1) * 0.5, mid - deriv3, mid),
 *         (mid, mid + deriv3, (p2 + p3) * 0.5, p3),             # <<<<<<<<<<<<<<
 *     )
 * 
*/
  __pyx_t_2 = PyNumber_Add(__pyx_v_mid, __pyx_v_deriv3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 80, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyNumber_Add(__pyx_v_p2, __pyx_v_p3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 80, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_4 = PyNumber_Multiply(__pyx_t_1, __pyx_mstate_global->__pyx_float_0_5); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 80, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyTuple_New(4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 80, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_v_mid);
  __Pyx_GIVEREF(__pyx_v_mid);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_mid) != (0)) __PYX_ERR(0, 80, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_t_2) != (0)) __PYX_ERR(0, 80, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_4);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 2, __pyx_t_4) != (0)) __PYX_ERR(0, 80, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_p3);
  __Pyx_GIVEREF(__pyx_v_p3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 3, __pyx_v_p3) != (0)) __PYX_ERR(0, 80, __pyx_L1_error);
  __pyx_t_2 = 0;
  __pyx_t_4 = 0;

  /* "fontTools/misc/bezierTools.py":79
 *     deriv3 = (p3 + p2 - p1 - p0) * 0.125
 *     return (
 *         (p0, (p0 + p1) * 0.5, mid - deriv3, mid),             # <<<<<<<<<<<<<<
 *         (mid, mid + deriv3, (p2 + p3) * 0.5, p3),
 *     )
*/
  __pyx_t_4 = PyTuple_New(2); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 79, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_4, 0, __pyx_t_3) != (0)) __PYX_ERR(0, 79, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_4, 1, __pyx_t_1) != (0)) __PYX_ERR(0, 79, __pyx_L1_error);
  __pyx_t_3 = 0;
  __pyx_t_1 = 0;
  __pyx_r = __pyx_t_4;
  __pyx_t_4 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":75
 * 
 * 
 * def _split_cubic_into_two(p0, p1, p2, p3):             # <<<<<<<<<<<<<<
 *     mid = (p0 + 3 * (p1 + p2) + p3) * 0.125
 *     deriv3 = (p3 + p2 - p1 - p0) * 0.125
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._split_cubic_into_two", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_mid);
  __Pyx_XDECREF(__pyx_v_deriv3);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":84
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     p0=cython.complex,
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_5_calcCubicArcLengthCRecurse(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_4_calcCubicArcLengthCRecurse, "_calcCubicArcLengthCRecurse(double mult, double complex p0, double complex p1, double complex p2, double complex p3)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_5_calcCubicArcLengthCRecurse = {"_calcCubicArcLengthCRecurse", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_5_calcCubicArcLengthCRecurse, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_4_calcCubicArcLengthCRecurse};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_5_calcCubicArcLengthCRecurse(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  double __pyx_v_mult;
  __pyx_t_double_complex __pyx_v_p0;
  __pyx_t_double_complex __pyx_v_p1;
  __pyx_t_double_complex __pyx_v_p2;
  __pyx_t_double_complex __pyx_v_p3;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[5] = {0,0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_calcCubicArcLengthCRecurse (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_mult,&__pyx_mstate_global->__pyx_n_u_p0,&__pyx_mstate_global->__pyx_n_u_p1,&__pyx_mstate_global->__pyx_n_u_p2,&__pyx_mstate_global->__pyx_n_u_p3,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 84, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  5:
        values[4] = __Pyx_ArgRef_FASTCALL(__pyx_args, 4);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[4])) __PYX_ERR(0, 84, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 84, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 84, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 84, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 84, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "_calcCubicArcLengthCRecurse", 0) < (0)) __PYX_ERR(0, 84, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 5; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("_calcCubicArcLengthCRecurse", 1, 5, 5, i); __PYX_ERR(0, 84, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 5)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 84, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 84, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 84, __pyx_L3_error)
      values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 84, __pyx_L3_error)
      values[4] = __Pyx_ArgRef_FASTCALL(__pyx_args, 4);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[4])) __PYX_ERR(0, 84, __pyx_L3_error)
    }
    __pyx_v_mult = __Pyx_PyFloat_AsDouble(values[0]); if (unlikely((__pyx_v_mult == (double)-1) && PyErr_Occurred())) __PYX_ERR(0, 92, __pyx_L3_error)
    __pyx_v_p0 = __Pyx_PyComplex_As___pyx_t_double_complex(values[1]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 92, __pyx_L3_error)
    __pyx_v_p1 = __Pyx_PyComplex_As___pyx_t_double_complex(values[2]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 92, __pyx_L3_error)
    __pyx_v_p2 = __Pyx_PyComplex_As___pyx_t_double_complex(values[3]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 92, __pyx_L3_error)
    __pyx_v_p3 = __Pyx_PyComplex_As___pyx_t_double_complex(values[4]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 92, __pyx_L3_error)
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_calcCubicArcLengthCRecurse", 1, 5, 5, __pyx_nargs); __PYX_ERR(0, 84, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._calcCubicArcLengthCRecurse", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_4_calcCubicArcLengthCRecurse(__pyx_self, __pyx_v_mult, __pyx_v_p0, __pyx_v_p1, __pyx_v_p2, __pyx_v_p3);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_4_calcCubicArcLengthCRecurse(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_mult, __pyx_t_double_complex __pyx_v_p0, __pyx_t_double_complex __pyx_v_p1, __pyx_t_double_complex __pyx_v_p2, __pyx_t_double_complex __pyx_v_p3) {
  double __pyx_v_arch;
  double __pyx_v_box;
  PyObject *__pyx_v_one = NULL;
  PyObject *__pyx_v_two = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  int __pyx_t_4;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  PyObject *__pyx_t_8 = NULL;
  size_t __pyx_t_9;
  PyObject *(*__pyx_t_10)(PyObject *);
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_calcCubicArcLengthCRecurse", 0);

  /* "fontTools/misc/bezierTools.py":93
 * @cython.locals(mult=cython.double, arch=cython.double, box=cython.double)
 * def _calcCubicArcLengthCRecurse(mult, p0, p1, p2, p3):
 *     arch = abs(p0 - p3)             # <<<<<<<<<<<<<<
 *     box = abs(p0 - p1) + abs(p1 - p2) + abs(p2 - p3)
 *     if arch * mult + EPSILON >= box:
*/
  __pyx_v_arch = __Pyx_c_abs_double(__Pyx_c_diff_double(__pyx_v_p0, __pyx_v_p3));

  /* "fontTools/misc/bezierTools.py":94
 * def _calcCubicArcLengthCRecurse(mult, p0, p1, p2, p3):
 *     arch = abs(p0 - p3)
 *     box = abs(p0 - p1) + abs(p1 - p2) + abs(p2 - p3)             # <<<<<<<<<<<<<<
 *     if arch * mult + EPSILON >= box:
 *         return (arch + box) * 0.5
*/
  __pyx_v_box = ((__Pyx_c_abs_double(__Pyx_c_diff_double(__pyx_v_p0, __pyx_v_p1)) + __Pyx_c_abs_double(__Pyx_c_diff_double(__pyx_v_p1, __pyx_v_p2))) + __Pyx_c_abs_double(__Pyx_c_diff_double(__pyx_v_p2, __pyx_v_p3)));

  /* "fontTools/misc/bezierTools.py":95
 *     arch = abs(p0 - p3)
 *     box = abs(p0 - p1) + abs(p1 - p2) + abs(p2 - p3)
 *     if arch * mult + EPSILON >= box:             # <<<<<<<<<<<<<<
 *         return (arch + box) * 0.5
 *     else:
*/
  __pyx_t_1 = PyFloat_FromDouble((__pyx_v_arch * __pyx_v_mult)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 95, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_EPSILON); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 95, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyNumber_Add(__pyx_t_1, __pyx_t_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 95, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyFloat_FromDouble(__pyx_v_box); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 95, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyObject_RichCompare(__pyx_t_3, __pyx_t_2, Py_GE); __Pyx_XGOTREF(__pyx_t_1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 95, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 95, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_4) {

    /* "fontTools/misc/bezierTools.py":96
 *     box = abs(p0 - p1) + abs(p1 - p2) + abs(p2 - p3)
 *     if arch * mult + EPSILON >= box:
 *         return (arch + box) * 0.5             # <<<<<<<<<<<<<<
 *     else:
 *         one, two = _split_cubic_into_two(p0, p1, p2, p3)
*/
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_1 = PyFloat_FromDouble(((__pyx_v_arch + __pyx_v_box) * 0.5)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 96, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":95
 *     arch = abs(p0 - p3)
 *     box = abs(p0 - p1) + abs(p1 - p2) + abs(p2 - p3)
 *     if arch * mult + EPSILON >= box:             # <<<<<<<<<<<<<<
 *         return (arch + box) * 0.5
 *     else:
*/
  }

  /* "fontTools/misc/bezierTools.py":98
 *         return (arch + box) * 0.5
 *     else:
 *         one, two = _split_cubic_into_two(p0, p1, p2, p3)             # <<<<<<<<<<<<<<
 *         return _calcCubicArcLengthCRecurse(mult, *one) + _calcCubicArcLengthCRecurse(
 *             mult, *two
*/
  /*else*/ {
    __pyx_t_2 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_split_cubic_into_two); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 98, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_5 = __pyx_PyComplex_FromComplex(__pyx_v_p0); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 98, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_6 = __pyx_PyComplex_FromComplex(__pyx_v_p1); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 98, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_7 = __pyx_PyComplex_FromComplex(__pyx_v_p2); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 98, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __pyx_t_8 = __pyx_PyComplex_FromComplex(__pyx_v_p3); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 98, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __pyx_t_9 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_3))) {
      __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
      assert(__pyx_t_2);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
      __pyx_t_9 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[5] = {__pyx_t_2, __pyx_t_5, __pyx_t_6, __pyx_t_7, __pyx_t_8};
      __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_9, (5-__pyx_t_9) | (__pyx_t_9*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
      __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 98, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
    }
    if ((likely(PyTuple_CheckExact(__pyx_t_1))) || (PyList_CheckExact(__pyx_t_1))) {
      PyObject* sequence = __pyx_t_1;
      Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
      if (unlikely(size != 2)) {
        if (size > 2) __Pyx_RaiseTooManyValuesError(2);
        else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
        __PYX_ERR(0, 98, __pyx_L1_error)
      }
      #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      if (likely(PyTuple_CheckExact(sequence))) {
        __pyx_t_3 = PyTuple_GET_ITEM(sequence, 0);
        __Pyx_INCREF(__pyx_t_3);
        __pyx_t_8 = PyTuple_GET_ITEM(sequence, 1);
        __Pyx_INCREF(__pyx_t_8);
      } else {
        __pyx_t_3 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
        if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 98, __pyx_L1_error)
        __Pyx_XGOTREF(__pyx_t_3);
        __pyx_t_8 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
        if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 98, __pyx_L1_error)
        __Pyx_XGOTREF(__pyx_t_8);
      }
      #else
      __pyx_t_3 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 98, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_8 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 98, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_8);
      #endif
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    } else {
      Py_ssize_t index = -1;
      __pyx_t_7 = PyObject_GetIter(__pyx_t_1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 98, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_7);
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      __pyx_t_10 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_7);
      index = 0; __pyx_t_3 = __pyx_t_10(__pyx_t_7); if (unlikely(!__pyx_t_3)) goto __pyx_L4_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_3);
      index = 1; __pyx_t_8 = __pyx_t_10(__pyx_t_7); if (unlikely(!__pyx_t_8)) goto __pyx_L4_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_8);
      if (__Pyx_IternextUnpackEndCheck(__pyx_t_10(__pyx_t_7), 2) < (0)) __PYX_ERR(0, 98, __pyx_L1_error)
      __pyx_t_10 = NULL;
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
      goto __pyx_L5_unpacking_done;
      __pyx_L4_unpacking_failed:;
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
      __pyx_t_10 = NULL;
      if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
      __PYX_ERR(0, 98, __pyx_L1_error)
      __pyx_L5_unpacking_done:;
    }
    __pyx_v_one = __pyx_t_3;
    __pyx_t_3 = 0;
    __pyx_v_two = __pyx_t_8;
    __pyx_t_8 = 0;

    /* "fontTools/misc/bezierTools.py":99
 *     else:
 *         one, two = _split_cubic_into_two(p0, p1, p2, p3)
 *         return _calcCubicArcLengthCRecurse(mult, *one) + _calcCubicArcLengthCRecurse(             # <<<<<<<<<<<<<<
 *             mult, *two
 *         )
*/
    __Pyx_XDECREF(__pyx_r);
    __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_mstate_global->__pyx_n_u_calcCubicArcLengthCRecurse); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_8 = PyFloat_FromDouble(__pyx_v_mult); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_GIVEREF(__pyx_t_8);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_8) != (0)) __PYX_ERR(0, 99, __pyx_L1_error);
    __pyx_t_8 = 0;
    __pyx_t_8 = __Pyx_PySequence_Tuple(__pyx_v_one); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __pyx_t_7 = PyNumber_Add(__pyx_t_3, __pyx_t_8); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __pyx_t_8 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_t_7, NULL); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_GetModuleGlobalName(__pyx_t_7, __pyx_mstate_global->__pyx_n_u_calcCubicArcLengthCRecurse); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);

    /* "fontTools/misc/bezierTools.py":100
 *         one, two = _split_cubic_into_two(p0, p1, p2, p3)
 *         return _calcCubicArcLengthCRecurse(mult, *one) + _calcCubicArcLengthCRecurse(
 *             mult, *two             # <<<<<<<<<<<<<<
 *         )
 * 
*/
    __pyx_t_1 = PyFloat_FromDouble(__pyx_v_mult); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 100, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);

    /* "fontTools/misc/bezierTools.py":99
 *     else:
 *         one, two = _split_cubic_into_two(p0, p1, p2, p3)
 *         return _calcCubicArcLengthCRecurse(mult, *one) + _calcCubicArcLengthCRecurse(             # <<<<<<<<<<<<<<
 *             mult, *two
 *         )
*/
    __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_GIVEREF(__pyx_t_1);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_1) != (0)) __PYX_ERR(0, 99, __pyx_L1_error);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":100
 *         one, two = _split_cubic_into_two(p0, p1, p2, p3)
 *         return _calcCubicArcLengthCRecurse(mult, *one) + _calcCubicArcLengthCRecurse(
 *             mult, *two             # <<<<<<<<<<<<<<
 *         )
 * 
*/
    __pyx_t_1 = __Pyx_PySequence_Tuple(__pyx_v_two); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);

    /* "fontTools/misc/bezierTools.py":99
 *     else:
 *         one, two = _split_cubic_into_two(p0, p1, p2, p3)
 *         return _calcCubicArcLengthCRecurse(mult, *one) + _calcCubicArcLengthCRecurse(             # <<<<<<<<<<<<<<
 *             mult, *two
 *         )
*/
    __pyx_t_6 = PyNumber_Add(__pyx_t_3, __pyx_t_1); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_7, __pyx_t_6, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_6 = PyNumber_Add(__pyx_t_8, __pyx_t_1); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_r = __pyx_t_6;
    __pyx_t_6 = 0;
    goto __pyx_L0;
  }

  /* "fontTools/misc/bezierTools.py":84
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     p0=cython.complex,
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._calcCubicArcLengthCRecurse", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_one);
  __Pyx_XDECREF(__pyx_v_two);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":104
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_7calcCubicArcLengthC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_6calcCubicArcLengthC, "calcCubicArcLengthC(double complex pt1, double complex pt2, double complex pt3, double complex pt4, double tolerance=0.005)\n\nCalculates the arc length for a cubic Bezier segment.\n\nArgs:\n    pt1,pt2,pt3,pt4: Control points of the Bezier as complex numbers.\n    tolerance: Controls the precision of the calcuation.\n\nReturns:\n    Arc length value.");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_7calcCubicArcLengthC = {"calcCubicArcLengthC", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_7calcCubicArcLengthC, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_6calcCubicArcLengthC};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_7calcCubicArcLengthC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  __pyx_t_double_complex __pyx_v_pt1;
  __pyx_t_double_complex __pyx_v_pt2;
  __pyx_t_double_complex __pyx_v_pt3;
  __pyx_t_double_complex __pyx_v_pt4;
  double __pyx_v_tolerance;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[5] = {0,0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("calcCubicArcLengthC (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_pt1,&__pyx_mstate_global->__pyx_n_u_pt2,&__pyx_mstate_global->__pyx_n_u_pt3,&__pyx_mstate_global->__pyx_n_u_pt4,&__pyx_mstate_global->__pyx_n_u_tolerance,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 104, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  5:
        values[4] = __Pyx_ArgRef_FASTCALL(__pyx_args, 4);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[4])) __PYX_ERR(0, 104, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 104, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 104, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 104, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 104, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "calcCubicArcLengthC", 0) < (0)) __PYX_ERR(0, 104, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 4; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("calcCubicArcLengthC", 0, 4, 5, i); __PYX_ERR(0, 104, __pyx_L3_error) }
      }
    } else {
      switch (__pyx_nargs) {
        case  5:
        values[4] = __Pyx_ArgRef_FASTCALL(__pyx_args, 4);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[4])) __PYX_ERR(0, 104, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 104, __pyx_L3_error)
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 104, __pyx_L3_error)
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 104, __pyx_L3_error)
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 104, __pyx_L3_error)
        break;
        default: goto __pyx_L5_argtuple_error;
      }
    }
    __pyx_v_pt1 = __Pyx_PyComplex_As___pyx_t_double_complex(values[0]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 115, __pyx_L3_error)
    __pyx_v_pt2 = __Pyx_PyComplex_As___pyx_t_double_complex(values[1]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 115, __pyx_L3_error)
    __pyx_v_pt3 = __Pyx_PyComplex_As___pyx_t_double_complex(values[2]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 115, __pyx_L3_error)
    __pyx_v_pt4 = __Pyx_PyComplex_As___pyx_t_double_complex(values[3]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 115, __pyx_L3_error)
    if (values[4]) {
      __pyx_v_tolerance = __Pyx_PyFloat_AsDouble(values[4]); if (unlikely((__pyx_v_tolerance == (double)-1) && PyErr_Occurred())) __PYX_ERR(0, 115, __pyx_L3_error)
    } else {
      __pyx_v_tolerance = ((double)((double)0.005));
    }
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcCubicArcLengthC", 0, 4, 5, __pyx_nargs); __PYX_ERR(0, 104, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcCubicArcLengthC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_6calcCubicArcLengthC(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4, __pyx_v_tolerance);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_6calcCubicArcLengthC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4, double __pyx_v_tolerance) {
  double __pyx_v_mult;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  PyObject *__pyx_t_8 = NULL;
  size_t __pyx_t_9;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcCubicArcLengthC", 0);

  /* "fontTools/misc/bezierTools.py":125
 *         Arc length value.
 *     """
 *     mult = 1.0 + 1.5 * tolerance  # The 1.5 is a empirical hack; no math             # <<<<<<<<<<<<<<
 *     return _calcCubicArcLengthCRecurse(mult, pt1, pt2, pt3, pt4)
 * 
*/
  __pyx_v_mult = (1.0 + (1.5 * __pyx_v_tolerance));

  /* "fontTools/misc/bezierTools.py":126
 *     """
 *     mult = 1.0 + 1.5 * tolerance  # The 1.5 is a empirical hack; no math
 *     return _calcCubicArcLengthCRecurse(mult, pt1, pt2, pt3, pt4)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_2 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_calcCubicArcLengthCRecurse); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 126, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = PyFloat_FromDouble(__pyx_v_mult); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 126, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_5 = __pyx_PyComplex_FromComplex(__pyx_v_pt1); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 126, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_6 = __pyx_PyComplex_FromComplex(__pyx_v_pt2); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 126, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __pyx_t_7 = __pyx_PyComplex_FromComplex(__pyx_v_pt3); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 126, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __pyx_t_8 = __pyx_PyComplex_FromComplex(__pyx_v_pt4); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 126, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_8);
  __pyx_t_9 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    assert(__pyx_t_2);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
    __pyx_t_9 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[6] = {__pyx_t_2, __pyx_t_4, __pyx_t_5, __pyx_t_6, __pyx_t_7, __pyx_t_8};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_9, (6-__pyx_t_9) | (__pyx_t_9*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 126, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":104
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcCubicArcLengthC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":133
 * 
 * 
 * @cython.cfunc             # <<<<<<<<<<<<<<
 * @cython.inline
 * @cython.returns(cython.double)
*/

static CYTHON_INLINE double __pyx_f_9fontTools_4misc_11bezierTools__dot(__pyx_t_double_complex __pyx_v_v1, __pyx_t_double_complex __pyx_v_v2) {
  double __pyx_r;

  /* "fontTools/misc/bezierTools.py":138
 * @cython.locals(v1=cython.complex, v2=cython.complex)
 * def _dot(v1, v2):
 *     return (v1 * v2.conjugate()).real             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_r = __Pyx_CREAL(__Pyx_c_prod_double(__pyx_v_v1, __Pyx_c_conj_double(__pyx_v_v2)));
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":133
 * 
 * 
 * @cython.cfunc             # <<<<<<<<<<<<<<
 * @cython.inline
 * @cython.returns(cython.double)
*/

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":141
 * 
 * 
 * @cython.cfunc             # <<<<<<<<<<<<<<
 * @cython.inline
 * @cython.returns(cython.double)
*/

static CYTHON_INLINE double __pyx_f_9fontTools_4misc_11bezierTools__intSecAtan(double __pyx_v_x) {
  double __pyx_r;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  size_t __pyx_t_6;
  double __pyx_t_7;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_intSecAtan", 0);

  /* "fontTools/misc/bezierTools.py":148
 *     # In : sympy.integrate(sp.sec(sp.atan(x)))
 *     # Out: x*sqrt(x**2 + 1)/2 + asinh(x)/2
 *     return x * math.sqrt(x**2 + 1) / 2 + math.asinh(x) / 2             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_t_1 = PyFloat_FromDouble(__pyx_v_x); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 148, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_4, __pyx_mstate_global->__pyx_n_u_math); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 148, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_5 = __Pyx_PyObject_GetAttrStr(__pyx_t_4, __pyx_mstate_global->__pyx_n_u_sqrt); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 148, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = PyFloat_FromDouble((pow(__pyx_v_x, 2.0) + 1.0)); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 148, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_6 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_5))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_5);
    assert(__pyx_t_3);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_5);
    __Pyx_INCREF(__pyx_t_3);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_5, __pyx__function);
    __pyx_t_6 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_3, __pyx_t_4};
    __pyx_t_2 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_5, __pyx_callargs+__pyx_t_6, (2-__pyx_t_6) | (__pyx_t_6*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 148, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
  }
  __pyx_t_5 = PyNumber_Multiply(__pyx_t_1, __pyx_t_2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 148, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_PyLong_TrueDivideObjC(__pyx_t_5, __pyx_mstate_global->__pyx_int_2, 2, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 148, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_t_1 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_4, __pyx_mstate_global->__pyx_n_u_math); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 148, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_4, __pyx_mstate_global->__pyx_n_u_asinh); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 148, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = PyFloat_FromDouble(__pyx_v_x); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 148, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_6 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_3);
    assert(__pyx_t_1);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_1);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
    __pyx_t_6 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_1, __pyx_t_4};
    __pyx_t_5 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_6, (2-__pyx_t_6) | (__pyx_t_6*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 148, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
  }
  __pyx_t_3 = __Pyx_PyLong_TrueDivideObjC(__pyx_t_5, __pyx_mstate_global->__pyx_int_2, 2, 0, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 148, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_t_5 = PyNumber_Add(__pyx_t_2, __pyx_t_3); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 148, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_7 = __Pyx_PyFloat_AsDouble(__pyx_t_5); if (unlikely((__pyx_t_7 == (double)-1) && PyErr_Occurred())) __PYX_ERR(0, 148, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_r = __pyx_t_7;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":141
 * 
 * 
 * @cython.cfunc             # <<<<<<<<<<<<<<
 * @cython.inline
 * @cython.returns(cython.double)
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._intSecAtan", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = -1;
  __pyx_L0:;
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":151
 * 
 * 
 * def calcQuadraticArcLength(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a quadratic Bezier segment.
 * 
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_9calcQuadraticArcLength(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_8calcQuadraticArcLength, "calcQuadraticArcLength(pt1, pt2, pt3)\n\nCalculates the arc length for a quadratic Bezier segment.\n\nArgs:\n    pt1: Start point of the Bezier as 2D tuple.\n    pt2: Handle point of the Bezier as 2D tuple.\n    pt3: End point of the Bezier as 2D tuple.\n\nReturns:\n    Arc length value.\n\nExample::\n\n    >>> calcQuadraticArcLength((0, 0), (0, 0), (0, 0)) # empty segment\n    0.0\n    >>> calcQuadraticArcLength((0, 0), (50, 0), (80, 0)) # collinear points\n    80.0\n    >>> calcQuadraticArcLength((0, 0), (0, 50), (0, 80)) # collinear points vertical\n    80.0\n    >>> calcQuadraticArcLength((0, 0), (50, 20), (100, 40)) # collinear points\n    107.70329614269008\n    >>> calcQuadraticArcLength((0, 0), (0, 100), (100, 0))\n    154.02976155645263\n    >>> calcQuadraticArcLength((0, 0), (0, 50), (100, 0))\n    120.21581243984076\n    >>> calcQuadraticArcLength((0, 0), (50, -10), (80, 50))\n    102.53273816445825\n    >>> calcQuadraticArcLength((0, 0), (40, 0), (-40, 0)) # collinear points, control point outside\n    66.66666666666667\n    >>> calcQuadraticArcLength((0, 0), (40, 0), (0, 0)) # collinear points, looping back\n    40.0");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_9calcQuadraticArcLength = {"calcQuadraticArcLength", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_9calcQuadraticArcLength, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_8calcQuadraticArcLength};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_9calcQuadraticArcLength(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[3] = {0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("calcQuadraticArcLength (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_pt1,&__pyx_mstate_global->__pyx_n_u_pt2,&__pyx_mstate_global->__pyx_n_u_pt3,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 151, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 151, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 151, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 151, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "calcQuadraticArcLength", 0) < (0)) __PYX_ERR(0, 151, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 3; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("calcQuadraticArcLength", 1, 3, 3, i); __PYX_ERR(0, 151, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 3)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 151, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 151, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 151, __pyx_L3_error)
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcQuadraticArcLength", 1, 3, 3, __pyx_nargs); __PYX_ERR(0, 151, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcQuadraticArcLength", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_8calcQuadraticArcLength(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_8calcQuadraticArcLength(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  size_t __pyx_t_8;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcQuadraticArcLength", 0);

  /* "fontTools/misc/bezierTools.py":183
 *         40.0
 *     """
 *     return calcQuadraticArcLengthC(complex(*pt1), complex(*pt2), complex(*pt3))             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_2 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_calcQuadraticArcLengthC); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 183, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = __Pyx_PySequence_Tuple(__pyx_v_pt1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 183, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_5 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_4, NULL); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 183, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = __Pyx_PySequence_Tuple(__pyx_v_pt2); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 183, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_6 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_4, NULL); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 183, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = __Pyx_PySequence_Tuple(__pyx_v_pt3); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 183, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_7 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_4, NULL); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 183, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_8 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    assert(__pyx_t_2);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
    __pyx_t_8 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[4] = {__pyx_t_2, __pyx_t_5, __pyx_t_6, __pyx_t_7};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_8, (4-__pyx_t_8) | (__pyx_t_8*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 183, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":151
 * 
 * 
 * def calcQuadraticArcLength(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a quadratic Bezier segment.
 * 
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcQuadraticArcLength", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":186
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_11calcQuadraticArcLengthC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_10calcQuadraticArcLengthC, "calcQuadraticArcLengthC(double complex pt1, double complex pt2, double complex pt3)\n\nCalculates the arc length for a quadratic Bezier segment.\n\nArgs:\n    pt1: Start point of the Bezier as a complex number.\n    pt2: Handle point of the Bezier as a complex number.\n    pt3: End point of the Bezier as a complex number.\n\nReturns:\n    Arc length value.");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_11calcQuadraticArcLengthC = {"calcQuadraticArcLengthC", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_11calcQuadraticArcLengthC, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_10calcQuadraticArcLengthC};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_11calcQuadraticArcLengthC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  __pyx_t_double_complex __pyx_v_pt1;
  __pyx_t_double_complex __pyx_v_pt2;
  __pyx_t_double_complex __pyx_v_pt3;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[3] = {0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("calcQuadraticArcLengthC (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_pt1,&__pyx_mstate_global->__pyx_n_u_pt2,&__pyx_mstate_global->__pyx_n_u_pt3,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 186, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 186, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 186, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 186, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "calcQuadraticArcLengthC", 0) < (0)) __PYX_ERR(0, 186, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 3; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("calcQuadraticArcLengthC", 1, 3, 3, i); __PYX_ERR(0, 186, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 3)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 186, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 186, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 186, __pyx_L3_error)
    }
    __pyx_v_pt1 = __Pyx_PyComplex_As___pyx_t_double_complex(values[0]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 205, __pyx_L3_error)
    __pyx_v_pt2 = __Pyx_PyComplex_As___pyx_t_double_complex(values[1]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 205, __pyx_L3_error)
    __pyx_v_pt3 = __Pyx_PyComplex_As___pyx_t_double_complex(values[2]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 205, __pyx_L3_error)
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcQuadraticArcLengthC", 1, 3, 3, __pyx_nargs); __PYX_ERR(0, 186, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcQuadraticArcLengthC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_10calcQuadraticArcLengthC(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_10calcQuadraticArcLengthC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3) {
  double __pyx_v_scale;
  double __pyx_v_origDist;
  double __pyx_v_a;
  double __pyx_v_b;
  double __pyx_v_x0;
  double __pyx_v_x1;
  double __pyx_v_Len;
  __pyx_t_double_complex __pyx_v_d0;
  __pyx_t_double_complex __pyx_v_d1;
  __pyx_t_double_complex __pyx_v_d;
  __pyx_t_double_complex __pyx_v_n;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  int __pyx_t_1;
  PyObject *__pyx_t_2 = NULL;
  double __pyx_t_3;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  double __pyx_t_6;
  double __pyx_t_7;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcQuadraticArcLengthC", 0);

  /* "fontTools/misc/bezierTools.py":218
 *     # Analytical solution to the length of a quadratic bezier.
 *     # Documentation: https://github.com/fonttools/fonttools/issues/3055
 *     d0 = pt2 - pt1             # <<<<<<<<<<<<<<
 *     d1 = pt3 - pt2
 *     d = d1 - d0
*/
  __pyx_v_d0 = __Pyx_c_diff_double(__pyx_v_pt2, __pyx_v_pt1);

  /* "fontTools/misc/bezierTools.py":219
 *     # Documentation: https://github.com/fonttools/fonttools/issues/3055
 *     d0 = pt2 - pt1
 *     d1 = pt3 - pt2             # <<<<<<<<<<<<<<
 *     d = d1 - d0
 *     n = d * 1j
*/
  __pyx_v_d1 = __Pyx_c_diff_double(__pyx_v_pt3, __pyx_v_pt2);

  /* "fontTools/misc/bezierTools.py":220
 *     d0 = pt2 - pt1
 *     d1 = pt3 - pt2
 *     d = d1 - d0             # <<<<<<<<<<<<<<
 *     n = d * 1j
 *     scale = abs(n)
*/
  __pyx_v_d = __Pyx_c_diff_double(__pyx_v_d1, __pyx_v_d0);

  /* "fontTools/misc/bezierTools.py":221
 *     d1 = pt3 - pt2
 *     d = d1 - d0
 *     n = d * 1j             # <<<<<<<<<<<<<<
 *     scale = abs(n)
 *     if scale == 0.0:
*/
  __pyx_v_n = __Pyx_c_prod_double(__pyx_v_d, __pyx_t_double_complex_from_parts(0, 1.0));

  /* "fontTools/misc/bezierTools.py":222
 *     d = d1 - d0
 *     n = d * 1j
 *     scale = abs(n)             # <<<<<<<<<<<<<<
 *     if scale == 0.0:
 *         return abs(pt3 - pt1)
*/
  __pyx_v_scale = __Pyx_c_abs_double(__pyx_v_n);

  /* "fontTools/misc/bezierTools.py":223
 *     n = d * 1j
 *     scale = abs(n)
 *     if scale == 0.0:             # <<<<<<<<<<<<<<
 *         return abs(pt3 - pt1)
 *     origDist = _dot(n, d0)
*/
  __pyx_t_1 = (__pyx_v_scale == 0.0);
  if (__pyx_t_1) {

    /* "fontTools/misc/bezierTools.py":224
 *     scale = abs(n)
 *     if scale == 0.0:
 *         return abs(pt3 - pt1)             # <<<<<<<<<<<<<<
 *     origDist = _dot(n, d0)
 *     if abs(origDist) < epsilon:
*/
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_2 = PyFloat_FromDouble(__Pyx_c_abs_double(__Pyx_c_diff_double(__pyx_v_pt3, __pyx_v_pt1))); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 224, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_r = __pyx_t_2;
    __pyx_t_2 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":223
 *     n = d * 1j
 *     scale = abs(n)
 *     if scale == 0.0:             # <<<<<<<<<<<<<<
 *         return abs(pt3 - pt1)
 *     origDist = _dot(n, d0)
*/
  }

  /* "fontTools/misc/bezierTools.py":225
 *     if scale == 0.0:
 *         return abs(pt3 - pt1)
 *     origDist = _dot(n, d0)             # <<<<<<<<<<<<<<
 *     if abs(origDist) < epsilon:
 *         if _dot(d0, d1) >= 0:
*/
  __pyx_t_3 = __pyx_f_9fontTools_4misc_11bezierTools__dot(__pyx_v_n, __pyx_v_d0); if (unlikely(__pyx_t_3 == ((double)-1) && PyErr_Occurred())) __PYX_ERR(0, 225, __pyx_L1_error)
  __pyx_v_origDist = __pyx_t_3;

  /* "fontTools/misc/bezierTools.py":226
 *         return abs(pt3 - pt1)
 *     origDist = _dot(n, d0)
 *     if abs(origDist) < epsilon:             # <<<<<<<<<<<<<<
 *         if _dot(d0, d1) >= 0:
 *             return abs(pt3 - pt1)
*/
  __pyx_t_3 = fabs(__pyx_v_origDist); 
  __pyx_t_2 = PyFloat_FromDouble(__pyx_t_3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 226, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_GetModuleGlobalName(__pyx_t_4, __pyx_mstate_global->__pyx_n_u_epsilon); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 226, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_5 = PyObject_RichCompare(__pyx_t_2, __pyx_t_4, Py_LT); __Pyx_XGOTREF(__pyx_t_5); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 226, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_1 = __Pyx_PyObject_IsTrue(__pyx_t_5); if (unlikely((__pyx_t_1 < 0))) __PYX_ERR(0, 226, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  if (__pyx_t_1) {

    /* "fontTools/misc/bezierTools.py":227
 *     origDist = _dot(n, d0)
 *     if abs(origDist) < epsilon:
 *         if _dot(d0, d1) >= 0:             # <<<<<<<<<<<<<<
 *             return abs(pt3 - pt1)
 *         a, b = abs(d0), abs(d1)
*/
    __pyx_t_3 = __pyx_f_9fontTools_4misc_11bezierTools__dot(__pyx_v_d0, __pyx_v_d1); if (unlikely(__pyx_t_3 == ((double)-1) && PyErr_Occurred())) __PYX_ERR(0, 227, __pyx_L1_error)
    __pyx_t_1 = (__pyx_t_3 >= 0.0);
    if (__pyx_t_1) {

      /* "fontTools/misc/bezierTools.py":228
 *     if abs(origDist) < epsilon:
 *         if _dot(d0, d1) >= 0:
 *             return abs(pt3 - pt1)             # <<<<<<<<<<<<<<
 *         a, b = abs(d0), abs(d1)
 *         return (a * a + b * b) / (a + b)
*/
      __Pyx_XDECREF(__pyx_r);
      __pyx_t_5 = PyFloat_FromDouble(__Pyx_c_abs_double(__Pyx_c_diff_double(__pyx_v_pt3, __pyx_v_pt1))); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 228, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_5);
      __pyx_r = __pyx_t_5;
      __pyx_t_5 = 0;
      goto __pyx_L0;

      /* "fontTools/misc/bezierTools.py":227
 *     origDist = _dot(n, d0)
 *     if abs(origDist) < epsilon:
 *         if _dot(d0, d1) >= 0:             # <<<<<<<<<<<<<<
 *             return abs(pt3 - pt1)
 *         a, b = abs(d0), abs(d1)
*/
    }

    /* "fontTools/misc/bezierTools.py":229
 *         if _dot(d0, d1) >= 0:
 *             return abs(pt3 - pt1)
 *         a, b = abs(d0), abs(d1)             # <<<<<<<<<<<<<<
 *         return (a * a + b * b) / (a + b)
 *     x0 = _dot(d, d0) / origDist
*/
    __pyx_t_3 = __Pyx_c_abs_double(__pyx_v_d0);
    __pyx_t_6 = __Pyx_c_abs_double(__pyx_v_d1);
    __pyx_v_a = __pyx_t_3;
    __pyx_v_b = __pyx_t_6;

    /* "fontTools/misc/bezierTools.py":230
 *             return abs(pt3 - pt1)
 *         a, b = abs(d0), abs(d1)
 *         return (a * a + b * b) / (a + b)             # <<<<<<<<<<<<<<
 *     x0 = _dot(d, d0) / origDist
 *     x1 = _dot(d, d1) / origDist
*/
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_6 = ((__pyx_v_a * __pyx_v_a) + (__pyx_v_b * __pyx_v_b));
    __pyx_t_3 = (__pyx_v_a + __pyx_v_b);
    if (unlikely(__pyx_t_3 == 0)) {
      PyErr_SetString(PyExc_ZeroDivisionError, "float division");
      __PYX_ERR(0, 230, __pyx_L1_error)
    }
    __pyx_t_5 = PyFloat_FromDouble((__pyx_t_6 / __pyx_t_3)); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 230, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_r = __pyx_t_5;
    __pyx_t_5 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":226
 *         return abs(pt3 - pt1)
 *     origDist = _dot(n, d0)
 *     if abs(origDist) < epsilon:             # <<<<<<<<<<<<<<
 *         if _dot(d0, d1) >= 0:
 *             return abs(pt3 - pt1)
*/
  }

  /* "fontTools/misc/bezierTools.py":231
 *         a, b = abs(d0), abs(d1)
 *         return (a * a + b * b) / (a + b)
 *     x0 = _dot(d, d0) / origDist             # <<<<<<<<<<<<<<
 *     x1 = _dot(d, d1) / origDist
 *     Len = abs(2 * (_intSecAtan(x1) - _intSecAtan(x0)) * origDist / (scale * (x1 - x0)))
*/
  __pyx_t_3 = __pyx_f_9fontTools_4misc_11bezierTools__dot(__pyx_v_d, __pyx_v_d0); if (unlikely(__pyx_t_3 == ((double)-1) && PyErr_Occurred())) __PYX_ERR(0, 231, __pyx_L1_error)
  if (unlikely(__pyx_v_origDist == 0)) {
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    __PYX_ERR(0, 231, __pyx_L1_error)
  }
  __pyx_v_x0 = (__pyx_t_3 / __pyx_v_origDist);

  /* "fontTools/misc/bezierTools.py":232
 *         return (a * a + b * b) / (a + b)
 *     x0 = _dot(d, d0) / origDist
 *     x1 = _dot(d, d1) / origDist             # <<<<<<<<<<<<<<
 *     Len = abs(2 * (_intSecAtan(x1) - _intSecAtan(x0)) * origDist / (scale * (x1 - x0)))
 *     return Len
*/
  __pyx_t_3 = __pyx_f_9fontTools_4misc_11bezierTools__dot(__pyx_v_d, __pyx_v_d1); if (unlikely(__pyx_t_3 == ((double)-1) && PyErr_Occurred())) __PYX_ERR(0, 232, __pyx_L1_error)
  if (unlikely(__pyx_v_origDist == 0)) {
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    __PYX_ERR(0, 232, __pyx_L1_error)
  }
  __pyx_v_x1 = (__pyx_t_3 / __pyx_v_origDist);

  /* "fontTools/misc/bezierTools.py":233
 *     x0 = _dot(d, d0) / origDist
 *     x1 = _dot(d, d1) / origDist
 *     Len = abs(2 * (_intSecAtan(x1) - _intSecAtan(x0)) * origDist / (scale * (x1 - x0)))             # <<<<<<<<<<<<<<
 *     return Len
 * 
*/
  __pyx_t_3 = __pyx_f_9fontTools_4misc_11bezierTools__intSecAtan(__pyx_v_x1); if (unlikely(__pyx_t_3 == ((double)-1) && PyErr_Occurred())) __PYX_ERR(0, 233, __pyx_L1_error)
  __pyx_t_6 = __pyx_f_9fontTools_4misc_11bezierTools__intSecAtan(__pyx_v_x0); if (unlikely(__pyx_t_6 == ((double)-1) && PyErr_Occurred())) __PYX_ERR(0, 233, __pyx_L1_error)
  __pyx_t_7 = ((2.0 * (__pyx_t_3 - __pyx_t_6)) * __pyx_v_origDist);
  __pyx_t_6 = (__pyx_v_scale * (__pyx_v_x1 - __pyx_v_x0));
  if (unlikely(__pyx_t_6 == 0)) {
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    __PYX_ERR(0, 233, __pyx_L1_error)
  }
  __pyx_t_3 = fabs((__pyx_t_7 / __pyx_t_6)); 
  __pyx_v_Len = __pyx_t_3;

  /* "fontTools/misc/bezierTools.py":234
 *     x1 = _dot(d, d1) / origDist
 *     Len = abs(2 * (_intSecAtan(x1) - _intSecAtan(x0)) * origDist / (scale * (x1 - x0)))
 *     return Len             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_5 = PyFloat_FromDouble(__pyx_v_Len); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 234, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_r = __pyx_t_5;
  __pyx_t_5 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":186
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcQuadraticArcLengthC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":237
 * 
 * 
 * def approximateQuadraticArcLength(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a quadratic Bezier segment.
 * 
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_13approximateQuadraticArcLength(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_12approximateQuadraticArcLength, "approximateQuadraticArcLength(pt1, pt2, pt3)\n\nCalculates the arc length for a quadratic Bezier segment.\n\nUses Gauss-Legendre quadrature for a branch-free approximation.\nSee :func:`calcQuadraticArcLength` for a slower but more accurate result.\n\nArgs:\n    pt1: Start point of the Bezier as 2D tuple.\n    pt2: Handle point of the Bezier as 2D tuple.\n    pt3: End point of the Bezier as 2D tuple.\n\nReturns:\n    Approximate arc length value.");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_13approximateQuadraticArcLength = {"approximateQuadraticArcLength", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_13approximateQuadraticArcLength, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_12approximateQuadraticArcLength};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_13approximateQuadraticArcLength(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[3] = {0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("approximateQuadraticArcLength (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_pt1,&__pyx_mstate_global->__pyx_n_u_pt2,&__pyx_mstate_global->__pyx_n_u_pt3,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 237, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 237, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 237, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 237, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "approximateQuadraticArcLength", 0) < (0)) __PYX_ERR(0, 237, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 3; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("approximateQuadraticArcLength", 1, 3, 3, i); __PYX_ERR(0, 237, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 3)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 237, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 237, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 237, __pyx_L3_error)
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("approximateQuadraticArcLength", 1, 3, 3, __pyx_nargs); __PYX_ERR(0, 237, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.approximateQuadraticArcLength", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_12approximateQuadraticArcLength(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_12approximateQuadraticArcLength(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  size_t __pyx_t_8;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("approximateQuadraticArcLength", 0);

  /* "fontTools/misc/bezierTools.py":251
 *         Approximate arc length value.
 *     """
 *     return approximateQuadraticArcLengthC(complex(*pt1), complex(*pt2), complex(*pt3))             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_2 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_approximateQuadraticArcLengthC); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 251, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = __Pyx_PySequence_Tuple(__pyx_v_pt1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 251, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_5 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_4, NULL); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 251, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = __Pyx_PySequence_Tuple(__pyx_v_pt2); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 251, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_6 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_4, NULL); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 251, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = __Pyx_PySequence_Tuple(__pyx_v_pt3); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 251, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_7 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_4, NULL); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 251, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_8 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    assert(__pyx_t_2);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
    __pyx_t_8 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[4] = {__pyx_t_2, __pyx_t_5, __pyx_t_6, __pyx_t_7};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_8, (4-__pyx_t_8) | (__pyx_t_8*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 251, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":237
 * 
 * 
 * def approximateQuadraticArcLength(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a quadratic Bezier segment.
 * 
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.approximateQuadraticArcLength", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":254
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_15approximateQuadraticArcLengthC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_14approximateQuadraticArcLengthC, "approximateQuadraticArcLengthC(double complex pt1, double complex pt2, double complex pt3)\n\nCalculates the arc length for a quadratic Bezier segment.\n\nUses Gauss-Legendre quadrature for a branch-free approximation.\nSee :func:`calcQuadraticArcLength` for a slower but more accurate result.\n\nArgs:\n    pt1: Start point of the Bezier as a complex number.\n    pt2: Handle point of the Bezier as a complex number.\n    pt3: End point of the Bezier as a complex number.\n\nReturns:\n    Approximate arc length value.");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_15approximateQuadraticArcLengthC = {"approximateQuadraticArcLengthC", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_15approximateQuadraticArcLengthC, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_14approximateQuadraticArcLengthC};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_15approximateQuadraticArcLengthC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  __pyx_t_double_complex __pyx_v_pt1;
  __pyx_t_double_complex __pyx_v_pt2;
  __pyx_t_double_complex __pyx_v_pt3;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[3] = {0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("approximateQuadraticArcLengthC (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_pt1,&__pyx_mstate_global->__pyx_n_u_pt2,&__pyx_mstate_global->__pyx_n_u_pt3,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 254, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 254, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 254, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 254, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "approximateQuadraticArcLengthC", 0) < (0)) __PYX_ERR(0, 254, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 3; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("approximateQuadraticArcLengthC", 1, 3, 3, i); __PYX_ERR(0, 254, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 3)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 254, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 254, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 254, __pyx_L3_error)
    }
    __pyx_v_pt1 = __Pyx_PyComplex_As___pyx_t_double_complex(values[0]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 265, __pyx_L3_error)
    __pyx_v_pt2 = __Pyx_PyComplex_As___pyx_t_double_complex(values[1]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 265, __pyx_L3_error)
    __pyx_v_pt3 = __Pyx_PyComplex_As___pyx_t_double_complex(values[2]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 265, __pyx_L3_error)
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("approximateQuadraticArcLengthC", 1, 3, 3, __pyx_nargs); __PYX_ERR(0, 254, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.approximateQuadraticArcLengthC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_14approximateQuadraticArcLengthC(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_14approximateQuadraticArcLengthC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3) {
  double __pyx_v_v0;
  double __pyx_v_v1;
  double __pyx_v_v2;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("approximateQuadraticArcLengthC", 0);

  /* "fontTools/misc/bezierTools.py":287
 *     # abs(BezierCurveC[2].diff(t).subs({t:T})) for T in sorted(.5, .5sqrt(3/5)/2),
 *     # weighted 5/18, 8/18, 5/18 respectively.
 *     v0 = abs(             # <<<<<<<<<<<<<<
 *         -0.492943519233745 * pt1 + 0.430331482911935 * pt2 + 0.0626120363218102 * pt3
 *     )
*/
  __pyx_v_v0 = __Pyx_c_abs_double(__Pyx_c_sum_double(__Pyx_c_sum_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts(-0.492943519233745, 0), __pyx_v_pt1), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.430331482911935, 0), __pyx_v_pt2)), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.0626120363218102, 0), __pyx_v_pt3)));

  /* "fontTools/misc/bezierTools.py":290
 *         -0.492943519233745 * pt1 + 0.430331482911935 * pt2 + 0.0626120363218102 * pt3
 *     )
 *     v1 = abs(pt3 - pt1) * 0.4444444444444444             # <<<<<<<<<<<<<<
 *     v2 = abs(
 *         -0.0626120363218102 * pt1 - 0.430331482911935 * pt2 + 0.492943519233745 * pt3
*/
  __pyx_v_v1 = (__Pyx_c_abs_double(__Pyx_c_diff_double(__pyx_v_pt3, __pyx_v_pt1)) * 0.4444444444444444);

  /* "fontTools/misc/bezierTools.py":291
 *     )
 *     v1 = abs(pt3 - pt1) * 0.4444444444444444
 *     v2 = abs(             # <<<<<<<<<<<<<<
 *         -0.0626120363218102 * pt1 - 0.430331482911935 * pt2 + 0.492943519233745 * pt3
 *     )
*/
  __pyx_v_v2 = __Pyx_c_abs_double(__Pyx_c_sum_double(__Pyx_c_diff_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts(-0.0626120363218102, 0), __pyx_v_pt1), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.430331482911935, 0), __pyx_v_pt2)), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.492943519233745, 0), __pyx_v_pt3)));

  /* "fontTools/misc/bezierTools.py":295
 *     )
 * 
 *     return v0 + v1 + v2             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyFloat_FromDouble(((__pyx_v_v0 + __pyx_v_v1) + __pyx_v_v2)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 295, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":254
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.approximateQuadraticArcLengthC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":298
 * 
 * 
 * def calcQuadraticBounds(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the bounding rectangle for a quadratic Bezier segment.
 * 
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_17calcQuadraticBounds(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_16calcQuadraticBounds, "calcQuadraticBounds(pt1, pt2, pt3)\n\nCalculates the bounding rectangle for a quadratic Bezier segment.\n\nArgs:\n    pt1: Start point of the Bezier as a 2D tuple.\n    pt2: Handle point of the Bezier as a 2D tuple.\n    pt3: End point of the Bezier as a 2D tuple.\n\nReturns:\n    A four-item tuple representing the bounding rectangle ``(xMin, yMin, xMax, yMax)``.\n\nExample::\n\n    >>> calcQuadraticBounds((0, 0), (50, 100), (100, 0))\n    (0, 0, 100, 50.0)\n    >>> calcQuadraticBounds((0, 0), (100, 0), (100, 100))\n    (0.0, 0.0, 100, 100)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_17calcQuadraticBounds = {"calcQuadraticBounds", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_17calcQuadraticBounds, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_16calcQuadraticBounds};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_17calcQuadraticBounds(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[3] = {0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("calcQuadraticBounds (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_pt1,&__pyx_mstate_global->__pyx_n_u_pt2,&__pyx_mstate_global->__pyx_n_u_pt3,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 298, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 298, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 298, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 298, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "calcQuadraticBounds", 0) < (0)) __PYX_ERR(0, 298, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 3; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("calcQuadraticBounds", 1, 3, 3, i); __PYX_ERR(0, 298, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 3)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 298, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 298, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 298, __pyx_L3_error)
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcQuadraticBounds", 1, 3, 3, __pyx_nargs); __PYX_ERR(0, 298, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcQuadraticBounds", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_16calcQuadraticBounds(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_16calcQuadraticBounds(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3) {
  PyObject *__pyx_v_ax = NULL;
  PyObject *__pyx_v_ay = NULL;
  PyObject *__pyx_v_bx = NULL;
  PyObject *__pyx_v_by = NULL;
  PyObject *__pyx_v_cx = NULL;
  PyObject *__pyx_v_cy = NULL;
  PyObject *__pyx_v_ax2 = NULL;
  PyObject *__pyx_v_ay2 = NULL;
  PyObject *__pyx_v_roots = NULL;
  PyObject *__pyx_v_points = NULL;
  PyObject *__pyx_7genexpr__pyx_v_t = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  size_t __pyx_t_4;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *(*__pyx_t_7)(PyObject *);
  PyObject *__pyx_t_8 = NULL;
  PyObject *__pyx_t_9 = NULL;
  int __pyx_t_10;
  int __pyx_t_11;
  Py_ssize_t __pyx_t_12;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcQuadraticBounds", 0);

  /* "fontTools/misc/bezierTools.py":316
 *         (0.0, 0.0, 100, 100)
 *     """
 *     (ax, ay), (bx, by), (cx, cy) = calcQuadraticParameters(pt1, pt2, pt3)             # <<<<<<<<<<<<<<
 *     ax2 = ax * 2.0
 *     ay2 = ay * 2.0
*/
  __pyx_t_2 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_calcQuadraticParameters); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 316, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    assert(__pyx_t_2);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
    __pyx_t_4 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[4] = {__pyx_t_2, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_4, (4-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  if ((likely(PyTuple_CheckExact(__pyx_t_1))) || (PyList_CheckExact(__pyx_t_1))) {
    PyObject* sequence = __pyx_t_1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 3)) {
      if (size > 3) __Pyx_RaiseTooManyValuesError(3);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 316, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_3 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_3);
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_2);
      __pyx_t_5 = PyTuple_GET_ITEM(sequence, 2);
      __Pyx_INCREF(__pyx_t_5);
    } else {
      __pyx_t_3 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 316, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_3);
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 316, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
      __pyx_t_5 = __Pyx_PyList_GetItemRefFast(sequence, 2, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 316, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_5);
    }
    #else
    __pyx_t_3 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_5 = __Pyx_PySequence_ITEM(sequence, 2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    #endif
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_6 = PyObject_GetIter(__pyx_t_1); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_7 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_6);
    index = 0; __pyx_t_3 = __pyx_t_7(__pyx_t_6); if (unlikely(!__pyx_t_3)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_3);
    index = 1; __pyx_t_2 = __pyx_t_7(__pyx_t_6); if (unlikely(!__pyx_t_2)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 2; __pyx_t_5 = __pyx_t_7(__pyx_t_6); if (unlikely(!__pyx_t_5)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_5);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_7(__pyx_t_6), 3) < (0)) __PYX_ERR(0, 316, __pyx_L1_error)
    __pyx_t_7 = NULL;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_7 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 316, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  if ((likely(PyTuple_CheckExact(__pyx_t_3))) || (PyList_CheckExact(__pyx_t_3))) {
    PyObject* sequence = __pyx_t_3;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 316, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_6 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_6);
      __pyx_t_8 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_8);
    } else {
      __pyx_t_6 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 316, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_6);
      __pyx_t_8 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 316, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_8);
    }
    #else
    __pyx_t_6 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_8 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    #endif
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_9 = PyObject_GetIter(__pyx_t_3); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_7 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_9);
    index = 0; __pyx_t_6 = __pyx_t_7(__pyx_t_9); if (unlikely(!__pyx_t_6)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_6);
    index = 1; __pyx_t_8 = __pyx_t_7(__pyx_t_9); if (unlikely(!__pyx_t_8)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_8);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_7(__pyx_t_9), 2) < (0)) __PYX_ERR(0, 316, __pyx_L1_error)
    __pyx_t_7 = NULL;
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    goto __pyx_L6_unpacking_done;
    __pyx_L5_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    __pyx_t_7 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 316, __pyx_L1_error)
    __pyx_L6_unpacking_done:;
  }
  __pyx_v_ax = __pyx_t_6;
  __pyx_t_6 = 0;
  __pyx_v_ay = __pyx_t_8;
  __pyx_t_8 = 0;
  if ((likely(PyTuple_CheckExact(__pyx_t_2))) || (PyList_CheckExact(__pyx_t_2))) {
    PyObject* sequence = __pyx_t_2;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 316, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_8 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_8);
      __pyx_t_6 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_6);
    } else {
      __pyx_t_8 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 316, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_8);
      __pyx_t_6 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 316, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_6);
    }
    #else
    __pyx_t_8 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __pyx_t_6 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    #endif
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_9 = PyObject_GetIter(__pyx_t_2); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_7 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_9);
    index = 0; __pyx_t_8 = __pyx_t_7(__pyx_t_9); if (unlikely(!__pyx_t_8)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_8);
    index = 1; __pyx_t_6 = __pyx_t_7(__pyx_t_9); if (unlikely(!__pyx_t_6)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_6);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_7(__pyx_t_9), 2) < (0)) __PYX_ERR(0, 316, __pyx_L1_error)
    __pyx_t_7 = NULL;
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    goto __pyx_L8_unpacking_done;
    __pyx_L7_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    __pyx_t_7 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 316, __pyx_L1_error)
    __pyx_L8_unpacking_done:;
  }
  __pyx_v_bx = __pyx_t_8;
  __pyx_t_8 = 0;
  __pyx_v_by = __pyx_t_6;
  __pyx_t_6 = 0;
  if ((likely(PyTuple_CheckExact(__pyx_t_5))) || (PyList_CheckExact(__pyx_t_5))) {
    PyObject* sequence = __pyx_t_5;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 316, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_6 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_6);
      __pyx_t_8 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_8);
    } else {
      __pyx_t_6 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 316, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_6);
      __pyx_t_8 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 316, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_8);
    }
    #else
    __pyx_t_6 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_8 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    #endif
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_9 = PyObject_GetIter(__pyx_t_5); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __pyx_t_7 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_9);
    index = 0; __pyx_t_6 = __pyx_t_7(__pyx_t_9); if (unlikely(!__pyx_t_6)) goto __pyx_L9_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_6);
    index = 1; __pyx_t_8 = __pyx_t_7(__pyx_t_9); if (unlikely(!__pyx_t_8)) goto __pyx_L9_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_8);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_7(__pyx_t_9), 2) < (0)) __PYX_ERR(0, 316, __pyx_L1_error)
    __pyx_t_7 = NULL;
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    goto __pyx_L10_unpacking_done;
    __pyx_L9_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    __pyx_t_7 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 316, __pyx_L1_error)
    __pyx_L10_unpacking_done:;
  }
  __pyx_v_cx = __pyx_t_6;
  __pyx_t_6 = 0;
  __pyx_v_cy = __pyx_t_8;
  __pyx_t_8 = 0;

  /* "fontTools/misc/bezierTools.py":317
 *     """
 *     (ax, ay), (bx, by), (cx, cy) = calcQuadraticParameters(pt1, pt2, pt3)
 *     ax2 = ax * 2.0             # <<<<<<<<<<<<<<
 *     ay2 = ay * 2.0
 *     roots = []
*/
  __pyx_t_1 = PyNumber_Multiply(__pyx_v_ax, __pyx_mstate_global->__pyx_float_2_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 317, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_ax2 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":318
 *     (ax, ay), (bx, by), (cx, cy) = calcQuadraticParameters(pt1, pt2, pt3)
 *     ax2 = ax * 2.0
 *     ay2 = ay * 2.0             # <<<<<<<<<<<<<<
 *     roots = []
 *     if ax2 != 0:
*/
  __pyx_t_1 = PyNumber_Multiply(__pyx_v_ay, __pyx_mstate_global->__pyx_float_2_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 318, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_ay2 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":319
 *     ax2 = ax * 2.0
 *     ay2 = ay * 2.0
 *     roots = []             # <<<<<<<<<<<<<<
 *     if ax2 != 0:
 *         roots.append(-bx / ax2)
*/
  __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 319, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_roots = ((PyObject*)__pyx_t_1);
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":320
 *     ay2 = ay * 2.0
 *     roots = []
 *     if ax2 != 0:             # <<<<<<<<<<<<<<
 *         roots.append(-bx / ax2)
 *     if ay2 != 0:
*/
  __pyx_t_10 = (__Pyx_PyLong_BoolNeObjC(__pyx_v_ax2, __pyx_mstate_global->__pyx_int_0, 0, 0)); if (unlikely((__pyx_t_10 < 0))) __PYX_ERR(0, 320, __pyx_L1_error)
  if (__pyx_t_10) {

    /* "fontTools/misc/bezierTools.py":321
 *     roots = []
 *     if ax2 != 0:
 *         roots.append(-bx / ax2)             # <<<<<<<<<<<<<<
 *     if ay2 != 0:
 *         roots.append(-by / ay2)
*/
    __pyx_t_1 = PyNumber_Negative(__pyx_v_bx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 321, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_5 = __Pyx_PyNumber_Divide(__pyx_t_1, __pyx_v_ax2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 321, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_11 = __Pyx_PyList_Append(__pyx_v_roots, __pyx_t_5); if (unlikely(__pyx_t_11 == ((int)-1))) __PYX_ERR(0, 321, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;

    /* "fontTools/misc/bezierTools.py":320
 *     ay2 = ay * 2.0
 *     roots = []
 *     if ax2 != 0:             # <<<<<<<<<<<<<<
 *         roots.append(-bx / ax2)
 *     if ay2 != 0:
*/
  }

  /* "fontTools/misc/bezierTools.py":322
 *     if ax2 != 0:
 *         roots.append(-bx / ax2)
 *     if ay2 != 0:             # <<<<<<<<<<<<<<
 *         roots.append(-by / ay2)
 *     points = [
*/
  __pyx_t_10 = (__Pyx_PyLong_BoolNeObjC(__pyx_v_ay2, __pyx_mstate_global->__pyx_int_0, 0, 0)); if (unlikely((__pyx_t_10 < 0))) __PYX_ERR(0, 322, __pyx_L1_error)
  if (__pyx_t_10) {

    /* "fontTools/misc/bezierTools.py":323
 *         roots.append(-bx / ax2)
 *     if ay2 != 0:
 *         roots.append(-by / ay2)             # <<<<<<<<<<<<<<
 *     points = [
 *         (ax * t * t + bx * t + cx, ay * t * t + by * t + cy)
*/
    __pyx_t_5 = PyNumber_Negative(__pyx_v_by); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 323, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_1 = __Pyx_PyNumber_Divide(__pyx_t_5, __pyx_v_ay2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 323, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __pyx_t_11 = __Pyx_PyList_Append(__pyx_v_roots, __pyx_t_1); if (unlikely(__pyx_t_11 == ((int)-1))) __PYX_ERR(0, 323, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":322
 *     if ax2 != 0:
 *         roots.append(-bx / ax2)
 *     if ay2 != 0:             # <<<<<<<<<<<<<<
 *         roots.append(-by / ay2)
 *     points = [
*/
  }

  /* "fontTools/misc/bezierTools.py":328
 *         for t in roots
 *         if 0 <= t < 1
 *     ] + [pt1, pt3]             # <<<<<<<<<<<<<<
 *     return calcBounds(points)
 * 
*/
  { /* enter inner scope */

    /* "fontTools/misc/bezierTools.py":324
 *     if ay2 != 0:
 *         roots.append(-by / ay2)
 *     points = [             # <<<<<<<<<<<<<<
 *         (ax * t * t + bx * t + cx, ay * t * t + by * t + cy)
 *         for t in roots
*/
    __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 324, __pyx_L15_error)
    __Pyx_GOTREF(__pyx_t_1);

    /* "fontTools/misc/bezierTools.py":326
 *     points = [
 *         (ax * t * t + bx * t + cx, ay * t * t + by * t + cy)
 *         for t in roots             # <<<<<<<<<<<<<<
 *         if 0 <= t < 1
 *     ] + [pt1, pt3]
*/
    __pyx_t_5 = __pyx_v_roots; __Pyx_INCREF(__pyx_t_5);
    __pyx_t_12 = 0;
    for (;;) {
      {
        Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_5);
        #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 326, __pyx_L15_error)
        #endif
        if (__pyx_t_12 >= __pyx_temp) break;
      }
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(__pyx_t_5, __pyx_t_12, __Pyx_ReferenceSharing_OwnStrongReference);
      ++__pyx_t_12;
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 326, __pyx_L15_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_XDECREF_SET(__pyx_7genexpr__pyx_v_t, __pyx_t_2);
      __pyx_t_2 = 0;

      /* "fontTools/misc/bezierTools.py":327
 *         (ax * t * t + bx * t + cx, ay * t * t + by * t + cy)
 *         for t in roots
 *         if 0 <= t < 1             # <<<<<<<<<<<<<<
 *     ] + [pt1, pt3]
 *     return calcBounds(points)
*/
      __pyx_t_2 = PyObject_RichCompare(__pyx_mstate_global->__pyx_int_0, __pyx_7genexpr__pyx_v_t, Py_LE); __Pyx_XGOTREF(__pyx_t_2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 327, __pyx_L15_error)
      if (__Pyx_PyObject_IsTrue(__pyx_t_2)) {
        __Pyx_DECREF(__pyx_t_2);
        __pyx_t_2 = PyObject_RichCompare(__pyx_7genexpr__pyx_v_t, __pyx_mstate_global->__pyx_int_1, Py_LT); __Pyx_XGOTREF(__pyx_t_2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 327, __pyx_L15_error)
      }
      __pyx_t_10 = __Pyx_PyObject_IsTrue(__pyx_t_2); if (unlikely((__pyx_t_10 < 0))) __PYX_ERR(0, 327, __pyx_L15_error)
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      if (__pyx_t_10) {

        /* "fontTools/misc/bezierTools.py":325
 *         roots.append(-by / ay2)
 *     points = [
 *         (ax * t * t + bx * t + cx, ay * t * t + by * t + cy)             # <<<<<<<<<<<<<<
 *         for t in roots
 *         if 0 <= t < 1
*/
        __pyx_t_2 = PyNumber_Multiply(__pyx_v_ax, __pyx_7genexpr__pyx_v_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 325, __pyx_L15_error)
        __Pyx_GOTREF(__pyx_t_2);
        __pyx_t_3 = PyNumber_Multiply(__pyx_t_2, __pyx_7genexpr__pyx_v_t); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 325, __pyx_L15_error)
        __Pyx_GOTREF(__pyx_t_3);
        __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
        __pyx_t_2 = PyNumber_Multiply(__pyx_v_bx, __pyx_7genexpr__pyx_v_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 325, __pyx_L15_error)
        __Pyx_GOTREF(__pyx_t_2);
        __pyx_t_8 = PyNumber_Add(__pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 325, __pyx_L15_error)
        __Pyx_GOTREF(__pyx_t_8);
        __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
        __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
        __pyx_t_2 = PyNumber_Add(__pyx_t_8, __pyx_v_cx); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 325, __pyx_L15_error)
        __Pyx_GOTREF(__pyx_t_2);
        __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
        __pyx_t_8 = PyNumber_Multiply(__pyx_v_ay, __pyx_7genexpr__pyx_v_t); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 325, __pyx_L15_error)
        __Pyx_GOTREF(__pyx_t_8);
        __pyx_t_3 = PyNumber_Multiply(__pyx_t_8, __pyx_7genexpr__pyx_v_t); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 325, __pyx_L15_error)
        __Pyx_GOTREF(__pyx_t_3);
        __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
        __pyx_t_8 = PyNumber_Multiply(__pyx_v_by, __pyx_7genexpr__pyx_v_t); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 325, __pyx_L15_error)
        __Pyx_GOTREF(__pyx_t_8);
        __pyx_t_6 = PyNumber_Add(__pyx_t_3, __pyx_t_8); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 325, __pyx_L15_error)
        __Pyx_GOTREF(__pyx_t_6);
        __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
        __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
        __pyx_t_8 = PyNumber_Add(__pyx_t_6, __pyx_v_cy); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 325, __pyx_L15_error)
        __Pyx_GOTREF(__pyx_t_8);
        __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
        __pyx_t_6 = PyTuple_New(2); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 325, __pyx_L15_error)
        __Pyx_GOTREF(__pyx_t_6);
        __Pyx_GIVEREF(__pyx_t_2);
        if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_t_2) != (0)) __PYX_ERR(0, 325, __pyx_L15_error);
        __Pyx_GIVEREF(__pyx_t_8);
        if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_t_8) != (0)) __PYX_ERR(0, 325, __pyx_L15_error);
        __pyx_t_2 = 0;
        __pyx_t_8 = 0;
        if (unlikely(__Pyx_ListComp_Append(__pyx_t_1, (PyObject*)__pyx_t_6))) __PYX_ERR(0, 324, __pyx_L15_error)
        __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;

        /* "fontTools/misc/bezierTools.py":327
 *         (ax * t * t + bx * t + cx, ay * t * t + by * t + cy)
 *         for t in roots
 *         if 0 <= t < 1             # <<<<<<<<<<<<<<
 *     ] + [pt1, pt3]
 *     return calcBounds(points)
*/
      }

      /* "fontTools/misc/bezierTools.py":326
 *     points = [
 *         (ax * t * t + bx * t + cx, ay * t * t + by * t + cy)
 *         for t in roots             # <<<<<<<<<<<<<<
 *         if 0 <= t < 1
 *     ] + [pt1, pt3]
*/
    }
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_XDECREF(__pyx_7genexpr__pyx_v_t); __pyx_7genexpr__pyx_v_t = 0;
    goto __pyx_L20_exit_scope;
    __pyx_L15_error:;
    __Pyx_XDECREF(__pyx_7genexpr__pyx_v_t); __pyx_7genexpr__pyx_v_t = 0;
    goto __pyx_L1_error;
    __pyx_L20_exit_scope:;
  } /* exit inner scope */

  /* "fontTools/misc/bezierTools.py":328
 *         for t in roots
 *         if 0 <= t < 1
 *     ] + [pt1, pt3]             # <<<<<<<<<<<<<<
 *     return calcBounds(points)
 * 
*/
  __pyx_t_5 = PyList_New(2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 328, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_INCREF(__pyx_v_pt1);
  __Pyx_GIVEREF(__pyx_v_pt1);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_5, 0, __pyx_v_pt1) != (0)) __PYX_ERR(0, 328, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_pt3);
  __Pyx_GIVEREF(__pyx_v_pt3);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_5, 1, __pyx_v_pt3) != (0)) __PYX_ERR(0, 328, __pyx_L1_error);
  __pyx_t_6 = PyNumber_Add(__pyx_t_1, __pyx_t_5); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 328, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_v_points = ((PyObject*)__pyx_t_6);
  __pyx_t_6 = 0;

  /* "fontTools/misc/bezierTools.py":329
 *         if 0 <= t < 1
 *     ] + [pt1, pt3]
 *     return calcBounds(points)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_5 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_mstate_global->__pyx_n_u_calcBounds); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 329, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_4 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_1))) {
    __pyx_t_5 = PyMethod_GET_SELF(__pyx_t_1);
    assert(__pyx_t_5);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_1);
    __Pyx_INCREF(__pyx_t_5);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_1, __pyx__function);
    __pyx_t_4 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_5, __pyx_v_points};
    __pyx_t_6 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_1, __pyx_callargs+__pyx_t_4, (2-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 329, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
  }
  __pyx_r = __pyx_t_6;
  __pyx_t_6 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":298
 * 
 * 
 * def calcQuadraticBounds(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the bounding rectangle for a quadratic Bezier segment.
 * 
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_XDECREF(__pyx_t_9);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcQuadraticBounds", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_ax);
  __Pyx_XDECREF(__pyx_v_ay);
  __Pyx_XDECREF(__pyx_v_bx);
  __Pyx_XDECREF(__pyx_v_by);
  __Pyx_XDECREF(__pyx_v_cx);
  __Pyx_XDECREF(__pyx_v_cy);
  __Pyx_XDECREF(__pyx_v_ax2);
  __Pyx_XDECREF(__pyx_v_ay2);
  __Pyx_XDECREF(__pyx_v_roots);
  __Pyx_XDECREF(__pyx_v_points);
  __Pyx_XDECREF(__pyx_7genexpr__pyx_v_t);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":332
 * 
 * 
 * def approximateCubicArcLength(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     """Approximates the arc length for a cubic Bezier segment.
 * 
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_19approximateCubicArcLength(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_18approximateCubicArcLength, "approximateCubicArcLength(pt1, pt2, pt3, pt4)\n\nApproximates the arc length for a cubic Bezier segment.\n\nUses Gauss-Lobatto quadrature with n=5 points to approximate arc length.\nSee :func:`calcCubicArcLength` for a slower but more accurate result.\n\nArgs:\n    pt1,pt2,pt3,pt4: Control points of the Bezier as 2D tuples.\n\nReturns:\n    Arc length value.\n\nExample::\n\n    >>> approximateCubicArcLength((0, 0), (25, 100), (75, 100), (100, 0))\n    190.04332968932817\n    >>> approximateCubicArcLength((0, 0), (50, 0), (100, 50), (100, 100))\n    154.8852074945903\n    >>> approximateCubicArcLength((0, 0), (50, 0), (100, 0), (150, 0)) # line; exact result should be 150.\n    149.99999999999991\n    >>> approximateCubicArcLength((0, 0), (50, 0), (100, 0), (-50, 0)) # cusp; exact result should be 150.\n    136.9267662156362\n    >>> approximateCubicArcLength((0, 0), (50, 0), (100, -50), (-50, 0)) # cusp\n    154.80848416537057");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_19approximateCubicArcLength = {"approximateCubicArcLength", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_19approximateCubicArcLength, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_18approximateCubicArcLength};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_19approximateCubicArcLength(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  PyObject *__pyx_v_pt4 = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("approximateCubicArcLength (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_pt1,&__pyx_mstate_global->__pyx_n_u_pt2,&__pyx_mstate_global->__pyx_n_u_pt3,&__pyx_mstate_global->__pyx_n_u_pt4,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 332, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 332, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 332, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 332, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 332, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "approximateCubicArcLength", 0) < (0)) __PYX_ERR(0, 332, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 4; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("approximateCubicArcLength", 1, 4, 4, i); __PYX_ERR(0, 332, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 332, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 332, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 332, __pyx_L3_error)
      values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 332, __pyx_L3_error)
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
    __pyx_v_pt4 = values[3];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("approximateCubicArcLength", 1, 4, 4, __pyx_nargs); __PYX_ERR(0, 332, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.approximateCubicArcLength", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_18approximateCubicArcLength(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_18approximateCubicArcLength(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  PyObject *__pyx_t_8 = NULL;
  size_t __pyx_t_9;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("approximateCubicArcLength", 0);

  /* "fontTools/misc/bezierTools.py":357
 *         154.80848416537057
 *     """
 *     return approximateCubicArcLengthC(             # <<<<<<<<<<<<<<
 *         complex(*pt1), complex(*pt2), complex(*pt3), complex(*pt4)
 *     )
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_2 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_approximateCubicArcLengthC); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 357, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);

  /* "fontTools/misc/bezierTools.py":358
 *     """
 *     return approximateCubicArcLengthC(
 *         complex(*pt1), complex(*pt2), complex(*pt3), complex(*pt4)             # <<<<<<<<<<<<<<
 *     )
 * 
*/
  __pyx_t_4 = __Pyx_PySequence_Tuple(__pyx_v_pt1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 358, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_5 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_4, NULL); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 358, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = __Pyx_PySequence_Tuple(__pyx_v_pt2); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 358, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_6 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_4, NULL); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 358, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = __Pyx_PySequence_Tuple(__pyx_v_pt3); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 358, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_7 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_4, NULL); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 358, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = __Pyx_PySequence_Tuple(__pyx_v_pt4); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 358, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_8 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_4, NULL); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 358, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_8);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_9 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    assert(__pyx_t_2);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
    __pyx_t_9 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[5] = {__pyx_t_2, __pyx_t_5, __pyx_t_6, __pyx_t_7, __pyx_t_8};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_9, (5-__pyx_t_9) | (__pyx_t_9*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 357, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":332
 * 
 * 
 * def approximateCubicArcLength(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     """Approximates the arc length for a cubic Bezier segment.
 * 
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.approximateCubicArcLength", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":362
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_21approximateCubicArcLengthC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_20approximateCubicArcLengthC, "approximateCubicArcLengthC(double complex pt1, double complex pt2, double complex pt3, double complex pt4)\n\nApproximates the arc length for a cubic Bezier segment.\n\nArgs:\n    pt1,pt2,pt3,pt4: Control points of the Bezier as complex numbers.\n\nReturns:\n    Arc length value.");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_21approximateCubicArcLengthC = {"approximateCubicArcLengthC", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_21approximateCubicArcLengthC, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_20approximateCubicArcLengthC};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_21approximateCubicArcLengthC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  __pyx_t_double_complex __pyx_v_pt1;
  __pyx_t_double_complex __pyx_v_pt2;
  __pyx_t_double_complex __pyx_v_pt3;
  __pyx_t_double_complex __pyx_v_pt4;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("approximateCubicArcLengthC (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_pt1,&__pyx_mstate_global->__pyx_n_u_pt2,&__pyx_mstate_global->__pyx_n_u_pt3,&__pyx_mstate_global->__pyx_n_u_pt4,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 362, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 362, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 362, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 362, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 362, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "approximateCubicArcLengthC", 0) < (0)) __PYX_ERR(0, 362, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 4; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("approximateCubicArcLengthC", 1, 4, 4, i); __PYX_ERR(0, 362, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 362, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 362, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 362, __pyx_L3_error)
      values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 362, __pyx_L3_error)
    }
    __pyx_v_pt1 = __Pyx_PyComplex_As___pyx_t_double_complex(values[0]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 376, __pyx_L3_error)
    __pyx_v_pt2 = __Pyx_PyComplex_As___pyx_t_double_complex(values[1]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 376, __pyx_L3_error)
    __pyx_v_pt3 = __Pyx_PyComplex_As___pyx_t_double_complex(values[2]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 376, __pyx_L3_error)
    __pyx_v_pt4 = __Pyx_PyComplex_As___pyx_t_double_complex(values[3]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 376, __pyx_L3_error)
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("approximateCubicArcLengthC", 1, 4, 4, __pyx_nargs); __PYX_ERR(0, 362, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.approximateCubicArcLengthC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_20approximateCubicArcLengthC(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_20approximateCubicArcLengthC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4) {
  double __pyx_v_v0;
  double __pyx_v_v1;
  double __pyx_v_v2;
  double __pyx_v_v3;
  double __pyx_v_v4;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("approximateCubicArcLengthC", 0);

  /* "fontTools/misc/bezierTools.py":393
 *     # abs(BezierCurveC[3].diff(t).subs({t:T})) for T in sorted(0, .5(3/7)**.5/2, .5, 1),
 *     # weighted 1/20, 49/180, 32/90, 49/180, 1/20 respectively.
 *     v0 = abs(pt2 - pt1) * 0.15             # <<<<<<<<<<<<<<
 *     v1 = abs(
 *         -0.558983582205757 * pt1
*/
  __pyx_v_v0 = (__Pyx_c_abs_double(__Pyx_c_diff_double(__pyx_v_pt2, __pyx_v_pt1)) * 0.15);

  /* "fontTools/misc/bezierTools.py":394
 *     # weighted 1/20, 49/180, 32/90, 49/180, 1/20 respectively.
 *     v0 = abs(pt2 - pt1) * 0.15
 *     v1 = abs(             # <<<<<<<<<<<<<<
 *         -0.558983582205757 * pt1
 *         + 0.325650248872424 * pt2
*/
  __pyx_v_v1 = __Pyx_c_abs_double(__Pyx_c_sum_double(__Pyx_c_sum_double(__Pyx_c_sum_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts(-0.558983582205757, 0), __pyx_v_pt1), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.325650248872424, 0), __pyx_v_pt2)), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.208983582205757, 0), __pyx_v_pt3)), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.024349751127576, 0), __pyx_v_pt4)));

  /* "fontTools/misc/bezierTools.py":400
 *         + 0.024349751127576 * pt4
 *     )
 *     v2 = abs(pt4 - pt1 + pt3 - pt2) * 0.26666666666666666             # <<<<<<<<<<<<<<
 *     v3 = abs(
 *         -0.024349751127576 * pt1
*/
  __pyx_v_v2 = (__Pyx_c_abs_double(__Pyx_c_diff_double(__Pyx_c_sum_double(__Pyx_c_diff_double(__pyx_v_pt4, __pyx_v_pt1), __pyx_v_pt3), __pyx_v_pt2)) * 0.26666666666666666);

  /* "fontTools/misc/bezierTools.py":401
 *     )
 *     v2 = abs(pt4 - pt1 + pt3 - pt2) * 0.26666666666666666
 *     v3 = abs(             # <<<<<<<<<<<<<<
 *         -0.024349751127576 * pt1
 *         - 0.208983582205757 * pt2
*/
  __pyx_v_v3 = __Pyx_c_abs_double(__Pyx_c_sum_double(__Pyx_c_diff_double(__Pyx_c_diff_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts(-0.024349751127576, 0), __pyx_v_pt1), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.208983582205757, 0), __pyx_v_pt2)), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.325650248872424, 0), __pyx_v_pt3)), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.558983582205757, 0), __pyx_v_pt4)));

  /* "fontTools/misc/bezierTools.py":407
 *         + 0.558983582205757 * pt4
 *     )
 *     v4 = abs(pt4 - pt3) * 0.15             # <<<<<<<<<<<<<<
 * 
 *     return v0 + v1 + v2 + v3 + v4
*/
  __pyx_v_v4 = (__Pyx_c_abs_double(__Pyx_c_diff_double(__pyx_v_pt4, __pyx_v_pt3)) * 0.15);

  /* "fontTools/misc/bezierTools.py":409
 *     v4 = abs(pt4 - pt3) * 0.15
 * 
 *     return v0 + v1 + v2 + v3 + v4             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyFloat_FromDouble(((((__pyx_v_v0 + __pyx_v_v1) + __pyx_v_v2) + __pyx_v_v3) + __pyx_v_v4)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 409, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":362
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.approximateCubicArcLengthC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":412
 * 
 * 
 * def calcCubicBounds(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     """Calculates the bounding rectangle for a quadratic Bezier segment.
 * 
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_23calcCubicBounds(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_22calcCubicBounds, "calcCubicBounds(pt1, pt2, pt3, pt4)\n\nCalculates the bounding rectangle for a quadratic Bezier segment.\n\nArgs:\n    pt1,pt2,pt3,pt4: Control points of the Bezier as 2D tuples.\n\nReturns:\n    A four-item tuple representing the bounding rectangle ``(xMin, yMin, xMax, yMax)``.\n\nExample::\n\n    >>> calcCubicBounds((0, 0), (25, 100), (75, 100), (100, 0))\n    (0, 0, 100, 75.0)\n    >>> calcCubicBounds((0, 0), (50, 0), (100, 50), (100, 100))\n    (0.0, 0.0, 100, 100)\n    >>> print(\"%f %f %f %f\" % calcCubicBounds((50, 0), (0, 100), (100, 100), (50, 0)))\n    35.566243 0.000000 64.433757 75.000000");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_23calcCubicBounds = {"calcCubicBounds", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_23calcCubicBounds, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_22calcCubicBounds};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_23calcCubicBounds(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  PyObject *__pyx_v_pt4 = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("calcCubicBounds (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_pt1,&__pyx_mstate_global->__pyx_n_u_pt2,&__pyx_mstate_global->__pyx_n_u_pt3,&__pyx_mstate_global->__pyx_n_u_pt4,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 412, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 412, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 412, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 412, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 412, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "calcCubicBounds", 0) < (0)) __PYX_ERR(0, 412, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 4; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("calcCubicBounds", 1, 4, 4, i); __PYX_ERR(0, 412, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 412, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 412, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 412, __pyx_L3_error)
      values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 412, __pyx_L3_error)
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
    __pyx_v_pt4 = values[3];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcCubicBounds", 1, 4, 4, __pyx_nargs); __PYX_ERR(0, 412, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcCubicBounds", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_22calcCubicBounds(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_22calcCubicBounds(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4) {
  PyObject *__pyx_v_ax = NULL;
  PyObject *__pyx_v_ay = NULL;
  PyObject *__pyx_v_bx = NULL;
  PyObject *__pyx_v_by = NULL;
  PyObject *__pyx_v_cx = NULL;
  PyObject *__pyx_v_cy = NULL;
  PyObject *__pyx_v_dx = NULL;
  PyObject *__pyx_v_dy = NULL;
  PyObject *__pyx_v_ax3 = NULL;
  PyObject *__pyx_v_ay3 = NULL;
  PyObject *__pyx_v_bx2 = NULL;
  PyObject *__pyx_v_by2 = NULL;
  PyObject *__pyx_v_xRoots = NULL;
  PyObject *__pyx_v_yRoots = NULL;
  PyObject *__pyx_v_roots = NULL;
  PyObject *__pyx_v_points = NULL;
  PyObject *__pyx_8genexpr1__pyx_v_t = NULL;
  PyObject *__pyx_8genexpr2__pyx_v_t = NULL;
  PyObject *__pyx_8genexpr3__pyx_v_t = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  size_t __pyx_t_4;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  PyObject *(*__pyx_t_8)(PyObject *);
  PyObject *__pyx_t_9 = NULL;
  PyObject *__pyx_t_10 = NULL;
  Py_ssize_t __pyx_t_11;
  PyObject *(*__pyx_t_12)(PyObject *);
  int __pyx_t_13;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcCubicBounds", 0);

  /* "fontTools/misc/bezierTools.py":430
 *         35.566243 0.000000 64.433757 75.000000
 *     """
 *     (ax, ay), (bx, by), (cx, cy), (dx, dy) = calcCubicParameters(pt1, pt2, pt3, pt4)             # <<<<<<<<<<<<<<
 *     # calc first derivative
 *     ax3 = ax * 3.0
*/
  __pyx_t_2 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_calcCubicParameters); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 430, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    assert(__pyx_t_2);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
    __pyx_t_4 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[5] = {__pyx_t_2, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_4, (5-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  if ((likely(PyTuple_CheckExact(__pyx_t_1))) || (PyList_CheckExact(__pyx_t_1))) {
    PyObject* sequence = __pyx_t_1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 4)) {
      if (size > 4) __Pyx_RaiseTooManyValuesError(4);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 430, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_3 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_3);
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_2);
      __pyx_t_5 = PyTuple_GET_ITEM(sequence, 2);
      __Pyx_INCREF(__pyx_t_5);
      __pyx_t_6 = PyTuple_GET_ITEM(sequence, 3);
      __Pyx_INCREF(__pyx_t_6);
    } else {
      __pyx_t_3 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 430, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_3);
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 430, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
      __pyx_t_5 = __Pyx_PyList_GetItemRefFast(sequence, 2, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 430, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_5);
      __pyx_t_6 = __Pyx_PyList_GetItemRefFast(sequence, 3, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 430, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_6);
    }
    #else
    {
      Py_ssize_t i;
      PyObject** temps[4] = {&__pyx_t_3,&__pyx_t_2,&__pyx_t_5,&__pyx_t_6};
      for (i=0; i < 4; i++) {
        PyObject* item = __Pyx_PySequence_ITEM(sequence, i); if (unlikely(!item)) __PYX_ERR(0, 430, __pyx_L1_error)
        __Pyx_GOTREF(item);
        *(temps[i]) = item;
      }
    }
    #endif
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  } else {
    Py_ssize_t index = -1;
    PyObject** temps[4] = {&__pyx_t_3,&__pyx_t_2,&__pyx_t_5,&__pyx_t_6};
    __pyx_t_7 = PyObject_GetIter(__pyx_t_1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_8 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_7);
    for (index=0; index < 4; index++) {
      PyObject* item = __pyx_t_8(__pyx_t_7); if (unlikely(!item)) goto __pyx_L3_unpacking_failed;
      __Pyx_GOTREF(item);
      *(temps[index]) = item;
    }
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_7), 4) < (0)) __PYX_ERR(0, 430, __pyx_L1_error)
    __pyx_t_8 = NULL;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __pyx_t_8 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 430, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  if ((likely(PyTuple_CheckExact(__pyx_t_3))) || (PyList_CheckExact(__pyx_t_3))) {
    PyObject* sequence = __pyx_t_3;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 430, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_7 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_7);
      __pyx_t_9 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_9);
    } else {
      __pyx_t_7 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 430, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_7);
      __pyx_t_9 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 430, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_9);
    }
    #else
    __pyx_t_7 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __pyx_t_9 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    #endif
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_10 = PyObject_GetIter(__pyx_t_3); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_10);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_8 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_10);
    index = 0; __pyx_t_7 = __pyx_t_8(__pyx_t_10); if (unlikely(!__pyx_t_7)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_7);
    index = 1; __pyx_t_9 = __pyx_t_8(__pyx_t_10); if (unlikely(!__pyx_t_9)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_9);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_10), 2) < (0)) __PYX_ERR(0, 430, __pyx_L1_error)
    __pyx_t_8 = NULL;
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    goto __pyx_L6_unpacking_done;
    __pyx_L5_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    __pyx_t_8 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 430, __pyx_L1_error)
    __pyx_L6_unpacking_done:;
  }
  __pyx_v_ax = __pyx_t_7;
  __pyx_t_7 = 0;
  __pyx_v_ay = __pyx_t_9;
  __pyx_t_9 = 0;
  if ((likely(PyTuple_CheckExact(__pyx_t_2))) || (PyList_CheckExact(__pyx_t_2))) {
    PyObject* sequence = __pyx_t_2;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 430, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_9 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_9);
      __pyx_t_7 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_7);
    } else {
      __pyx_t_9 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 430, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_9);
      __pyx_t_7 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 430, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_7);
    }
    #else
    __pyx_t_9 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __pyx_t_7 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    #endif
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_10 = PyObject_GetIter(__pyx_t_2); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_10);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_8 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_10);
    index = 0; __pyx_t_9 = __pyx_t_8(__pyx_t_10); if (unlikely(!__pyx_t_9)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_9);
    index = 1; __pyx_t_7 = __pyx_t_8(__pyx_t_10); if (unlikely(!__pyx_t_7)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_7);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_10), 2) < (0)) __PYX_ERR(0, 430, __pyx_L1_error)
    __pyx_t_8 = NULL;
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    goto __pyx_L8_unpacking_done;
    __pyx_L7_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    __pyx_t_8 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 430, __pyx_L1_error)
    __pyx_L8_unpacking_done:;
  }
  __pyx_v_bx = __pyx_t_9;
  __pyx_t_9 = 0;
  __pyx_v_by = __pyx_t_7;
  __pyx_t_7 = 0;
  if ((likely(PyTuple_CheckExact(__pyx_t_5))) || (PyList_CheckExact(__pyx_t_5))) {
    PyObject* sequence = __pyx_t_5;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 430, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_7 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_7);
      __pyx_t_9 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_9);
    } else {
      __pyx_t_7 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 430, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_7);
      __pyx_t_9 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 430, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_9);
    }
    #else
    __pyx_t_7 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __pyx_t_9 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    #endif
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_10 = PyObject_GetIter(__pyx_t_5); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_10);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __pyx_t_8 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_10);
    index = 0; __pyx_t_7 = __pyx_t_8(__pyx_t_10); if (unlikely(!__pyx_t_7)) goto __pyx_L9_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_7);
    index = 1; __pyx_t_9 = __pyx_t_8(__pyx_t_10); if (unlikely(!__pyx_t_9)) goto __pyx_L9_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_9);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_10), 2) < (0)) __PYX_ERR(0, 430, __pyx_L1_error)
    __pyx_t_8 = NULL;
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    goto __pyx_L10_unpacking_done;
    __pyx_L9_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    __pyx_t_8 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 430, __pyx_L1_error)
    __pyx_L10_unpacking_done:;
  }
  __pyx_v_cx = __pyx_t_7;
  __pyx_t_7 = 0;
  __pyx_v_cy = __pyx_t_9;
  __pyx_t_9 = 0;
  if ((likely(PyTuple_CheckExact(__pyx_t_6))) || (PyList_CheckExact(__pyx_t_6))) {
    PyObject* sequence = __pyx_t_6;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 430, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_9 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_9);
      __pyx_t_7 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_7);
    } else {
      __pyx_t_9 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 430, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_9);
      __pyx_t_7 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 430, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_7);
    }
    #else
    __pyx_t_9 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __pyx_t_7 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    #endif
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_10 = PyObject_GetIter(__pyx_t_6); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_10);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_8 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_10);
    index = 0; __pyx_t_9 = __pyx_t_8(__pyx_t_10); if (unlikely(!__pyx_t_9)) goto __pyx_L11_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_9);
    index = 1; __pyx_t_7 = __pyx_t_8(__pyx_t_10); if (unlikely(!__pyx_t_7)) goto __pyx_L11_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_7);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_10), 2) < (0)) __PYX_ERR(0, 430, __pyx_L1_error)
    __pyx_t_8 = NULL;
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    goto __pyx_L12_unpacking_done;
    __pyx_L11_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    __pyx_t_8 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 430, __pyx_L1_error)
    __pyx_L12_unpacking_done:;
  }
  __pyx_v_dx = __pyx_t_9;
  __pyx_t_9 = 0;
  __pyx_v_dy = __pyx_t_7;
  __pyx_t_7 = 0;

  /* "fontTools/misc/bezierTools.py":432
 *     (ax, ay), (bx, by), (cx, cy), (dx, dy) = calcCubicParameters(pt1, pt2, pt3, pt4)
 *     # calc first derivative
 *     ax3 = ax * 3.0             # <<<<<<<<<<<<<<
 *     ay3 = ay * 3.0
 *     bx2 = bx * 2.0
*/
  __pyx_t_1 = PyNumber_Multiply(__pyx_v_ax, __pyx_mstate_global->__pyx_float_3_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 432, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_ax3 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":433
 *     # calc first derivative
 *     ax3 = ax * 3.0
 *     ay3 = ay * 3.0             # <<<<<<<<<<<<<<
 *     bx2 = bx * 2.0
 *     by2 = by * 2.0
*/
  __pyx_t_1 = PyNumber_Multiply(__pyx_v_ay, __pyx_mstate_global->__pyx_float_3_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 433, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_ay3 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":434
 *     ax3 = ax * 3.0
 *     ay3 = ay * 3.0
 *     bx2 = bx * 2.0             # <<<<<<<<<<<<<<
 *     by2 = by * 2.0
 *     xRoots = [t for t in solveQuadratic(ax3, bx2, cx) if 0 <= t < 1]
*/
  __pyx_t_1 = PyNumber_Multiply(__pyx_v_bx, __pyx_mstate_global->__pyx_float_2_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 434, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_bx2 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":435
 *     ay3 = ay * 3.0
 *     bx2 = bx * 2.0
 *     by2 = by * 2.0             # <<<<<<<<<<<<<<
 *     xRoots = [t for t in solveQuadratic(ax3, bx2, cx) if 0 <= t < 1]
 *     yRoots = [t for t in solveQuadratic(ay3, by2, cy) if 0 <= t < 1]
*/
  __pyx_t_1 = PyNumber_Multiply(__pyx_v_by, __pyx_mstate_global->__pyx_float_2_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 435, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_by2 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":436
 *     bx2 = bx * 2.0
 *     by2 = by * 2.0
 *     xRoots = [t for t in solveQuadratic(ax3, bx2, cx) if 0 <= t < 1]             # <<<<<<<<<<<<<<
 *     yRoots = [t for t in solveQuadratic(ay3, by2, cy) if 0 <= t < 1]
 *     roots = xRoots + yRoots
*/
  { /* enter inner scope */
    __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 436, __pyx_L15_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_5 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_solveQuadratic); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 436, __pyx_L15_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_4 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_2))) {
      __pyx_t_5 = PyMethod_GET_SELF(__pyx_t_2);
      assert(__pyx_t_5);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_5);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_2, __pyx__function);
      __pyx_t_4 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[4] = {__pyx_t_5, __pyx_v_ax3, __pyx_v_bx2, __pyx_v_cx};
      __pyx_t_6 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_2, __pyx_callargs+__pyx_t_4, (4-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 436, __pyx_L15_error)
      __Pyx_GOTREF(__pyx_t_6);
    }
    if (likely(PyList_CheckExact(__pyx_t_6)) || PyTuple_CheckExact(__pyx_t_6)) {
      __pyx_t_2 = __pyx_t_6; __Pyx_INCREF(__pyx_t_2);
      __pyx_t_11 = 0;
      __pyx_t_12 = NULL;
    } else {
      __pyx_t_11 = -1; __pyx_t_2 = PyObject_GetIter(__pyx_t_6); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 436, __pyx_L15_error)
      __Pyx_GOTREF(__pyx_t_2);
      __pyx_t_12 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_2); if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 436, __pyx_L15_error)
    }
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    for (;;) {
      if (likely(!__pyx_t_12)) {
        if (likely(PyList_CheckExact(__pyx_t_2))) {
          {
            Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_2);
            #if !CYTHON_ASSUME_SAFE_SIZE
            if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 436, __pyx_L15_error)
            #endif
            if (__pyx_t_11 >= __pyx_temp) break;
          }
          __pyx_t_6 = __Pyx_PyList_GetItemRefFast(__pyx_t_2, __pyx_t_11, __Pyx_ReferenceSharing_OwnStrongReference);
          ++__pyx_t_11;
        } else {
          {
            Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_2);
            #if !CYTHON_ASSUME_SAFE_SIZE
            if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 436, __pyx_L15_error)
            #endif
            if (__pyx_t_11 >= __pyx_temp) break;
          }
          #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
          __pyx_t_6 = __Pyx_NewRef(PyTuple_GET_ITEM(__pyx_t_2, __pyx_t_11));
          #else
          __pyx_t_6 = __Pyx_PySequence_ITEM(__pyx_t_2, __pyx_t_11);
          #endif
          ++__pyx_t_11;
        }
        if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 436, __pyx_L15_error)
      } else {
        __pyx_t_6 = __pyx_t_12(__pyx_t_2);
        if (unlikely(!__pyx_t_6)) {
          PyObject* exc_type = PyErr_Occurred();
          if (exc_type) {
            if (unlikely(!__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) __PYX_ERR(0, 436, __pyx_L15_error)
            PyErr_Clear();
          }
          break;
        }
      }
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_XDECREF_SET(__pyx_8genexpr1__pyx_v_t, __pyx_t_6);
      __pyx_t_6 = 0;
      __pyx_t_6 = PyObject_RichCompare(__pyx_mstate_global->__pyx_int_0, __pyx_8genexpr1__pyx_v_t, Py_LE); __Pyx_XGOTREF(__pyx_t_6); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 436, __pyx_L15_error)
      if (__Pyx_PyObject_IsTrue(__pyx_t_6)) {
        __Pyx_DECREF(__pyx_t_6);
        __pyx_t_6 = PyObject_RichCompare(__pyx_8genexpr1__pyx_v_t, __pyx_mstate_global->__pyx_int_1, Py_LT); __Pyx_XGOTREF(__pyx_t_6); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 436, __pyx_L15_error)
      }
      __pyx_t_13 = __Pyx_PyObject_IsTrue(__pyx_t_6); if (unlikely((__pyx_t_13 < 0))) __PYX_ERR(0, 436, __pyx_L15_error)
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      if (__pyx_t_13) {
        if (unlikely(__Pyx_ListComp_Append(__pyx_t_1, (PyObject*)__pyx_8genexpr1__pyx_v_t))) __PYX_ERR(0, 436, __pyx_L15_error)
      }
    }
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_XDECREF(__pyx_8genexpr1__pyx_v_t); __pyx_8genexpr1__pyx_v_t = 0;
    goto __pyx_L20_exit_scope;
    __pyx_L15_error:;
    __Pyx_XDECREF(__pyx_8genexpr1__pyx_v_t); __pyx_8genexpr1__pyx_v_t = 0;
    goto __pyx_L1_error;
    __pyx_L20_exit_scope:;
  } /* exit inner scope */
  __pyx_v_xRoots = ((PyObject*)__pyx_t_1);
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":437
 *     by2 = by * 2.0
 *     xRoots = [t for t in solveQuadratic(ax3, bx2, cx) if 0 <= t < 1]
 *     yRoots = [t for t in solveQuadratic(ay3, by2, cy) if 0 <= t < 1]             # <<<<<<<<<<<<<<
 *     roots = xRoots + yRoots
 * 
*/
  { /* enter inner scope */
    __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 437, __pyx_L23_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_6 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_5, __pyx_mstate_global->__pyx_n_u_solveQuadratic); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 437, __pyx_L23_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_4 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_5))) {
      __pyx_t_6 = PyMethod_GET_SELF(__pyx_t_5);
      assert(__pyx_t_6);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_5);
      __Pyx_INCREF(__pyx_t_6);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_5, __pyx__function);
      __pyx_t_4 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[4] = {__pyx_t_6, __pyx_v_ay3, __pyx_v_by2, __pyx_v_cy};
      __pyx_t_2 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_5, __pyx_callargs+__pyx_t_4, (4-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 437, __pyx_L23_error)
      __Pyx_GOTREF(__pyx_t_2);
    }
    if (likely(PyList_CheckExact(__pyx_t_2)) || PyTuple_CheckExact(__pyx_t_2)) {
      __pyx_t_5 = __pyx_t_2; __Pyx_INCREF(__pyx_t_5);
      __pyx_t_11 = 0;
      __pyx_t_12 = NULL;
    } else {
      __pyx_t_11 = -1; __pyx_t_5 = PyObject_GetIter(__pyx_t_2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 437, __pyx_L23_error)
      __Pyx_GOTREF(__pyx_t_5);
      __pyx_t_12 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_5); if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 437, __pyx_L23_error)
    }
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    for (;;) {
      if (likely(!__pyx_t_12)) {
        if (likely(PyList_CheckExact(__pyx_t_5))) {
          {
            Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_5);
            #if !CYTHON_ASSUME_SAFE_SIZE
            if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 437, __pyx_L23_error)
            #endif
            if (__pyx_t_11 >= __pyx_temp) break;
          }
          __pyx_t_2 = __Pyx_PyList_GetItemRefFast(__pyx_t_5, __pyx_t_11, __Pyx_ReferenceSharing_OwnStrongReference);
          ++__pyx_t_11;
        } else {
          {
            Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_5);
            #if !CYTHON_ASSUME_SAFE_SIZE
            if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 437, __pyx_L23_error)
            #endif
            if (__pyx_t_11 >= __pyx_temp) break;
          }
          #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
          __pyx_t_2 = __Pyx_NewRef(PyTuple_GET_ITEM(__pyx_t_5, __pyx_t_11));
          #else
          __pyx_t_2 = __Pyx_PySequence_ITEM(__pyx_t_5, __pyx_t_11);
          #endif
          ++__pyx_t_11;
        }
        if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 437, __pyx_L23_error)
      } else {
        __pyx_t_2 = __pyx_t_12(__pyx_t_5);
        if (unlikely(!__pyx_t_2)) {
          PyObject* exc_type = PyErr_Occurred();
          if (exc_type) {
            if (unlikely(!__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) __PYX_ERR(0, 437, __pyx_L23_error)
            PyErr_Clear();
          }
          break;
        }
      }
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_XDECREF_SET(__pyx_8genexpr2__pyx_v_t, __pyx_t_2);
      __pyx_t_2 = 0;
      __pyx_t_2 = PyObject_RichCompare(__pyx_mstate_global->__pyx_int_0, __pyx_8genexpr2__pyx_v_t, Py_LE); __Pyx_XGOTREF(__pyx_t_2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 437, __pyx_L23_error)
      if (__Pyx_PyObject_IsTrue(__pyx_t_2)) {
        __Pyx_DECREF(__pyx_t_2);
        __pyx_t_2 = PyObject_RichCompare(__pyx_8genexpr2__pyx_v_t, __pyx_mstate_global->__pyx_int_1, Py_LT); __Pyx_XGOTREF(__pyx_t_2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 437, __pyx_L23_error)
      }
      __pyx_t_13 = __Pyx_PyObject_IsTrue(__pyx_t_2); if (unlikely((__pyx_t_13 < 0))) __PYX_ERR(0, 437, __pyx_L23_error)
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      if (__pyx_t_13) {
        if (unlikely(__Pyx_ListComp_Append(__pyx_t_1, (PyObject*)__pyx_8genexpr2__pyx_v_t))) __PYX_ERR(0, 437, __pyx_L23_error)
      }
    }
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_XDECREF(__pyx_8genexpr2__pyx_v_t); __pyx_8genexpr2__pyx_v_t = 0;
    goto __pyx_L28_exit_scope;
    __pyx_L23_error:;
    __Pyx_XDECREF(__pyx_8genexpr2__pyx_v_t); __pyx_8genexpr2__pyx_v_t = 0;
    goto __pyx_L1_error;
    __pyx_L28_exit_scope:;
  } /* exit inner scope */
  __pyx_v_yRoots = ((PyObject*)__pyx_t_1);
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":438
 *     xRoots = [t for t in solveQuadratic(ax3, bx2, cx) if 0 <= t < 1]
 *     yRoots = [t for t in solveQuadratic(ay3, by2, cy) if 0 <= t < 1]
 *     roots = xRoots + yRoots             # <<<<<<<<<<<<<<
 * 
 *     points = [
*/
  __pyx_t_1 = PyNumber_Add(__pyx_v_xRoots, __pyx_v_yRoots); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 438, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_roots = ((PyObject*)__pyx_t_1);
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":446
 *         )
 *         for t in roots
 *     ] + [pt1, pt4]             # <<<<<<<<<<<<<<
 *     return calcBounds(points)
 * 
*/
  { /* enter inner scope */

    /* "fontTools/misc/bezierTools.py":440
 *     roots = xRoots + yRoots
 * 
 *     points = [             # <<<<<<<<<<<<<<
 *         (
 *             ax * t * t * t + bx * t * t + cx * t + dx,
*/
    __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 440, __pyx_L31_error)
    __Pyx_GOTREF(__pyx_t_1);

    /* "fontTools/misc/bezierTools.py":445
 *             ay * t * t * t + by * t * t + cy * t + dy,
 *         )
 *         for t in roots             # <<<<<<<<<<<<<<
 *     ] + [pt1, pt4]
 *     return calcBounds(points)
*/
    __pyx_t_5 = __pyx_v_roots; __Pyx_INCREF(__pyx_t_5);
    __pyx_t_11 = 0;
    for (;;) {
      {
        Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_5);
        #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 445, __pyx_L31_error)
        #endif
        if (__pyx_t_11 >= __pyx_temp) break;
      }
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(__pyx_t_5, __pyx_t_11, __Pyx_ReferenceSharing_OwnStrongReference);
      ++__pyx_t_11;
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 445, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_XDECREF_SET(__pyx_8genexpr3__pyx_v_t, __pyx_t_2);
      __pyx_t_2 = 0;

      /* "fontTools/misc/bezierTools.py":442
 *     points = [
 *         (
 *             ax * t * t * t + bx * t * t + cx * t + dx,             # <<<<<<<<<<<<<<
 *             ay * t * t * t + by * t * t + cy * t + dy,
 *         )
*/
      __pyx_t_2 = PyNumber_Multiply(__pyx_v_ax, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 442, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_2);
      __pyx_t_6 = PyNumber_Multiply(__pyx_t_2, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 442, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __pyx_t_2 = PyNumber_Multiply(__pyx_t_6, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 442, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      __pyx_t_6 = PyNumber_Multiply(__pyx_v_bx, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 442, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_6);
      __pyx_t_3 = PyNumber_Multiply(__pyx_t_6, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 442, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      __pyx_t_6 = PyNumber_Add(__pyx_t_2, __pyx_t_3); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 442, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_3 = PyNumber_Multiply(__pyx_v_cx, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 442, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_2 = PyNumber_Add(__pyx_t_6, __pyx_t_3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 442, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_3 = PyNumber_Add(__pyx_t_2, __pyx_v_dx); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 442, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

      /* "fontTools/misc/bezierTools.py":443
 *         (
 *             ax * t * t * t + bx * t * t + cx * t + dx,
 *             ay * t * t * t + by * t * t + cy * t + dy,             # <<<<<<<<<<<<<<
 *         )
 *         for t in roots
*/
      __pyx_t_2 = PyNumber_Multiply(__pyx_v_ay, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 443, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_2);
      __pyx_t_6 = PyNumber_Multiply(__pyx_t_2, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 443, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __pyx_t_2 = PyNumber_Multiply(__pyx_t_6, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 443, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      __pyx_t_6 = PyNumber_Multiply(__pyx_v_by, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 443, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_6);
      __pyx_t_7 = PyNumber_Multiply(__pyx_t_6, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 443, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_7);
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      __pyx_t_6 = PyNumber_Add(__pyx_t_2, __pyx_t_7); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 443, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
      __pyx_t_7 = PyNumber_Multiply(__pyx_v_cy, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 443, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_7);
      __pyx_t_2 = PyNumber_Add(__pyx_t_6, __pyx_t_7); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 443, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
      __pyx_t_7 = PyNumber_Add(__pyx_t_2, __pyx_v_dy); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 443, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_7);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

      /* "fontTools/misc/bezierTools.py":442
 *     points = [
 *         (
 *             ax * t * t * t + bx * t * t + cx * t + dx,             # <<<<<<<<<<<<<<
 *             ay * t * t * t + by * t * t + cy * t + dy,
 *         )
*/
      __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 442, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_GIVEREF(__pyx_t_3);
      if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_3) != (0)) __PYX_ERR(0, 442, __pyx_L31_error);
      __Pyx_GIVEREF(__pyx_t_7);
      if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_t_7) != (0)) __PYX_ERR(0, 442, __pyx_L31_error);
      __pyx_t_3 = 0;
      __pyx_t_7 = 0;
      if (unlikely(__Pyx_ListComp_Append(__pyx_t_1, (PyObject*)__pyx_t_2))) __PYX_ERR(0, 440, __pyx_L31_error)
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

      /* "fontTools/misc/bezierTools.py":445
 *             ay * t * t * t + by * t * t + cy * t + dy,
 *         )
 *         for t in roots             # <<<<<<<<<<<<<<
 *     ] + [pt1, pt4]
 *     return calcBounds(points)
*/
    }
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_XDECREF(__pyx_8genexpr3__pyx_v_t); __pyx_8genexpr3__pyx_v_t = 0;
    goto __pyx_L35_exit_scope;
    __pyx_L31_error:;
    __Pyx_XDECREF(__pyx_8genexpr3__pyx_v_t); __pyx_8genexpr3__pyx_v_t = 0;
    goto __pyx_L1_error;
    __pyx_L35_exit_scope:;
  } /* exit inner scope */

  /* "fontTools/misc/bezierTools.py":446
 *         )
 *         for t in roots
 *     ] + [pt1, pt4]             # <<<<<<<<<<<<<<
 *     return calcBounds(points)
 * 
*/
  __pyx_t_5 = PyList_New(2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 446, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_INCREF(__pyx_v_pt1);
  __Pyx_GIVEREF(__pyx_v_pt1);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_5, 0, __pyx_v_pt1) != (0)) __PYX_ERR(0, 446, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_pt4);
  __Pyx_GIVEREF(__pyx_v_pt4);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_5, 1, __pyx_v_pt4) != (0)) __PYX_ERR(0, 446, __pyx_L1_error);
  __pyx_t_2 = PyNumber_Add(__pyx_t_1, __pyx_t_5); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 446, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_v_points = ((PyObject*)__pyx_t_2);
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":447
 *         for t in roots
 *     ] + [pt1, pt4]
 *     return calcBounds(points)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_5 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_mstate_global->__pyx_n_u_calcBounds); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 447, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_4 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_1))) {
    __pyx_t_5 = PyMethod_GET_SELF(__pyx_t_1);
    assert(__pyx_t_5);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_1);
    __Pyx_INCREF(__pyx_t_5);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_1, __pyx__function);
    __pyx_t_4 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_5, __pyx_v_points};
    __pyx_t_2 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_1, __pyx_callargs+__pyx_t_4, (2-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 447, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
  }
  __pyx_r = __pyx_t_2;
  __pyx_t_2 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":412
 * 
 * 
 * def calcCubicBounds(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     """Calculates the bounding rectangle for a quadratic Bezier segment.
 * 
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_XDECREF(__pyx_t_9);
  __Pyx_XDECREF(__pyx_t_10);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcCubicBounds", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_ax);
  __Pyx_XDECREF(__pyx_v_ay);
  __Pyx_XDECREF(__pyx_v_bx);
  __Pyx_XDECREF(__pyx_v_by);
  __Pyx_XDECREF(__pyx_v_cx);
  __Pyx_XDECREF(__pyx_v_cy);
  __Pyx_XDECREF(__pyx_v_dx);
  __Pyx_XDECREF(__pyx_v_dy);
  __Pyx_XDECREF(__pyx_v_ax3);
  __Pyx_XDECREF(__pyx_v_ay3);
  __Pyx_XDECREF(__pyx_v_bx2);
  __Pyx_XDECREF(__pyx_v_by2);
  __Pyx_XDECREF(__pyx_v_xRoots);
  __Pyx_XDECREF(__pyx_v_yRoots);
  __Pyx_XDECREF(__pyx_v_roots);
  __Pyx_XDECREF(__pyx_v_points);
  __Pyx_XDECREF(__pyx_8genexpr1__pyx_v_t);
  __Pyx_XDECREF(__pyx_8genexpr2__pyx_v_t);
  __Pyx_XDECREF(__pyx_8genexpr3__pyx_v_t);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":450
 * 
 * 
 * def splitLine(pt1, pt2, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a line at a given coordinate.
 * 
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_25splitLine(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_24splitLine, "splitLine(pt1, pt2, where, isHorizontal)\n\nSplit a line at a given coordinate.\n\nArgs:\n    pt1: Start point of line as 2D tuple.\n    pt2: End point of line as 2D tuple.\n    where: Position at which to split the line.\n    isHorizontal: Direction of the ray splitting the line. If true,\n        ``where`` is interpreted as a Y coordinate; if false, then\n        ``where`` is interpreted as an X coordinate.\n\nReturns:\n    A list of two line segments (each line segment being two 2D tuples)\n    if the line was successfully split, or a list containing the original\n    line.\n\nExample::\n\n    >>> printSegments(splitLine((0, 0), (100, 100), 50, True))\n    ((0, 0), (50, 50))\n    ((50, 50), (100, 100))\n    >>> printSegments(splitLine((0, 0), (100, 100), 100, True))\n    ((0, 0), (100, 100))\n    >>> printSegments(splitLine((0, 0), (100, 100), 0, True))\n    ((0, 0), (0, 0))\n    ((0, 0), (100, 100))\n    >>> printSegments(splitLine((0, 0), (100, 100), 0, False))\n    ((0, 0), (0, 0))\n    ((0, 0), (100, 100))\n    >>> printSegments(splitLine((100, 0), (0, 0), 50, False))\n    ((100, 0), (50, 0))\n    ((50, 0), (0, 0))\n    >>> printSegments(splitLine((0, 100), (0, 0), 50, True))\n    ((0, 100), (0, 50))\n    ((0, 50), (0, 0))");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_25splitLine = {"splitLine", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_25splitLine, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_24splitLine};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_25splitLine(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_where = 0;
  PyObject *__pyx_v_isHorizontal = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("splitLine (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_pt1,&__pyx_mstate_global->__pyx_n_u_pt2,&__pyx_mstate_global->__pyx_n_u_where,&__pyx_mstate_global->__pyx_n_u_isHorizontal,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 450, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 450, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 450, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 450, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 450, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "splitLine", 0) < (0)) __PYX_ERR(0, 450, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 4; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("splitLine", 1, 4, 4, i); __PYX_ERR(0, 450, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 450, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 450, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 450, __pyx_L3_error)
      values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 450, __pyx_L3_error)
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_where = values[2];
    __pyx_v_isHorizontal = values[3];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("splitLine", 1, 4, 4, __pyx_nargs); __PYX_ERR(0, 450, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitLine", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_24splitLine(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_where, __pyx_v_isHorizontal);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_24splitLine(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_where, PyObject *__pyx_v_isHorizontal) {
  PyObject *__pyx_v_pt1x = NULL;
  PyObject *__pyx_v_pt1y = NULL;
  PyObject *__pyx_v_pt2x = NULL;
  PyObject *__pyx_v_pt2y = NULL;
  PyObject *__pyx_v_ax = NULL;
  PyObject *__pyx_v_ay = NULL;
  PyObject *__pyx_v_bx = NULL;
  PyObject *__pyx_v_by = NULL;
  PyObject *__pyx_v_a = NULL;
  PyObject *__pyx_v_t = NULL;
  PyObject *__pyx_v_midPt = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *(*__pyx_t_4)(PyObject *);
  int __pyx_t_5;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("splitLine", 0);

  /* "fontTools/misc/bezierTools.py":486
 *         ((0, 50), (0, 0))
 *     """
 *     pt1x, pt1y = pt1             # <<<<<<<<<<<<<<
 *     pt2x, pt2y = pt2
 * 
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_pt1))) || (PyList_CheckExact(__pyx_v_pt1))) {
    PyObject* sequence = __pyx_v_pt1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 486, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_1);
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_2);
    } else {
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 486, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 486, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
    }
    #else
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 486, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 486, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_pt1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 486, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < (0)) __PYX_ERR(0, 486, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 486, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_pt1x = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_pt1y = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":487
 *     """
 *     pt1x, pt1y = pt1
 *     pt2x, pt2y = pt2             # <<<<<<<<<<<<<<
 * 
 *     ax = pt2x - pt1x
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_pt2))) || (PyList_CheckExact(__pyx_v_pt2))) {
    PyObject* sequence = __pyx_v_pt2;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 487, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_2);
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_1);
    } else {
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 487, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 487, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
    }
    #else
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 487, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 487, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_pt2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 487, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < (0)) __PYX_ERR(0, 487, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L6_unpacking_done;
    __pyx_L5_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 487, __pyx_L1_error)
    __pyx_L6_unpacking_done:;
  }
  __pyx_v_pt2x = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_pt2y = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":489
 *     pt2x, pt2y = pt2
 * 
 *     ax = pt2x - pt1x             # <<<<<<<<<<<<<<
 *     ay = pt2y - pt1y
 * 
*/
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_pt2x, __pyx_v_pt1x); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 489, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_ax = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":490
 * 
 *     ax = pt2x - pt1x
 *     ay = pt2y - pt1y             # <<<<<<<<<<<<<<
 * 
 *     bx = pt1x
*/
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_pt2y, __pyx_v_pt1y); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 490, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_ay = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":492
 *     ay = pt2y - pt1y
 * 
 *     bx = pt1x             # <<<<<<<<<<<<<<
 *     by = pt1y
 * 
*/
  __Pyx_INCREF(__pyx_v_pt1x);
  __pyx_v_bx = __pyx_v_pt1x;

  /* "fontTools/misc/bezierTools.py":493
 * 
 *     bx = pt1x
 *     by = pt1y             # <<<<<<<<<<<<<<
 * 
 *     a = (ax, ay)[isHorizontal]
*/
  __Pyx_INCREF(__pyx_v_pt1y);
  __pyx_v_by = __pyx_v_pt1y;

  /* "fontTools/misc/bezierTools.py":495
 *     by = pt1y
 * 
 *     a = (ax, ay)[isHorizontal]             # <<<<<<<<<<<<<<
 * 
 *     if a == 0:
*/
  __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 495, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_v_ax);
  __Pyx_GIVEREF(__pyx_v_ax);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_ax) != (0)) __PYX_ERR(0, 495, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_ay);
  __Pyx_GIVEREF(__pyx_v_ay);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_ay) != (0)) __PYX_ERR(0, 495, __pyx_L1_error);
  __pyx_t_2 = __Pyx_PyObject_GetItem(__pyx_t_1, __pyx_v_isHorizontal); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 495, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_v_a = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":497
 *     a = (ax, ay)[isHorizontal]
 * 
 *     if a == 0:             # <<<<<<<<<<<<<<
 *         return [(pt1, pt2)]
 *     t = (where - (bx, by)[isHorizontal]) / a
*/
  __pyx_t_5 = (__Pyx_PyLong_BoolEqObjC(__pyx_v_a, __pyx_mstate_global->__pyx_int_0, 0, 0)); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 497, __pyx_L1_error)
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":498
 * 
 *     if a == 0:
 *         return [(pt1, pt2)]             # <<<<<<<<<<<<<<
 *     t = (where - (bx, by)[isHorizontal]) / a
 *     if 0 <= t < 1:
*/
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 498, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_v_pt1);
    __Pyx_GIVEREF(__pyx_v_pt1);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_pt1) != (0)) __PYX_ERR(0, 498, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_pt2) != (0)) __PYX_ERR(0, 498, __pyx_L1_error);
    __pyx_t_1 = PyList_New(1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 498, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_GIVEREF(__pyx_t_2);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_1, 0, __pyx_t_2) != (0)) __PYX_ERR(0, 498, __pyx_L1_error);
    __pyx_t_2 = 0;
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":497
 *     a = (ax, ay)[isHorizontal]
 * 
 *     if a == 0:             # <<<<<<<<<<<<<<
 *         return [(pt1, pt2)]
 *     t = (where - (bx, by)[isHorizontal]) / a
*/
  }

  /* "fontTools/misc/bezierTools.py":499
 *     if a == 0:
 *         return [(pt1, pt2)]
 *     t = (where - (bx, by)[isHorizontal]) / a             # <<<<<<<<<<<<<<
 *     if 0 <= t < 1:
 *         midPt = ax * t + bx, ay * t + by
*/
  __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 499, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_v_bx);
  __Pyx_GIVEREF(__pyx_v_bx);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_bx) != (0)) __PYX_ERR(0, 499, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_by);
  __Pyx_GIVEREF(__pyx_v_by);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_by) != (0)) __PYX_ERR(0, 499, __pyx_L1_error);
  __pyx_t_2 = __Pyx_PyObject_GetItem(__pyx_t_1, __pyx_v_isHorizontal); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 499, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_where, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 499, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_PyNumber_Divide(__pyx_t_1, __pyx_v_a); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 499, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_v_t = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":500
 *         return [(pt1, pt2)]
 *     t = (where - (bx, by)[isHorizontal]) / a
 *     if 0 <= t < 1:             # <<<<<<<<<<<<<<
 *         midPt = ax * t + bx, ay * t + by
 *         return [(pt1, midPt), (midPt, pt2)]
*/
  __pyx_t_2 = PyObject_RichCompare(__pyx_mstate_global->__pyx_int_0, __pyx_v_t, Py_LE); __Pyx_XGOTREF(__pyx_t_2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 500, __pyx_L1_error)
  if (__Pyx_PyObject_IsTrue(__pyx_t_2)) {
    __Pyx_DECREF(__pyx_t_2);
    __pyx_t_2 = PyObject_RichCompare(__pyx_v_t, __pyx_mstate_global->__pyx_int_1, Py_LT); __Pyx_XGOTREF(__pyx_t_2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 500, __pyx_L1_error)
  }
  __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_2); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 500, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":501
 *     t = (where - (bx, by)[isHorizontal]) / a
 *     if 0 <= t < 1:
 *         midPt = ax * t + bx, ay * t + by             # <<<<<<<<<<<<<<
 *         return [(pt1, midPt), (midPt, pt2)]
 *     else:
*/
    __pyx_t_2 = PyNumber_Multiply(__pyx_v_ax, __pyx_v_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 501, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PyNumber_Add(__pyx_t_2, __pyx_v_bx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 501, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = PyNumber_Multiply(__pyx_v_ay, __pyx_v_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 501, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_3 = PyNumber_Add(__pyx_t_2, __pyx_v_by); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 501, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 501, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_GIVEREF(__pyx_t_1);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_1) != (0)) __PYX_ERR(0, 501, __pyx_L1_error);
    __Pyx_GIVEREF(__pyx_t_3);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_t_3) != (0)) __PYX_ERR(0, 501, __pyx_L1_error);
    __pyx_t_1 = 0;
    __pyx_t_3 = 0;
    __pyx_v_midPt = ((PyObject*)__pyx_t_2);
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":502
 *     if 0 <= t < 1:
 *         midPt = ax * t + bx, ay * t + by
 *         return [(pt1, midPt), (midPt, pt2)]             # <<<<<<<<<<<<<<
 *     else:
 *         return [(pt1, pt2)]
*/
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 502, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_v_pt1);
    __Pyx_GIVEREF(__pyx_v_pt1);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_pt1) != (0)) __PYX_ERR(0, 502, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_midPt);
    __Pyx_GIVEREF(__pyx_v_midPt);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_midPt) != (0)) __PYX_ERR(0, 502, __pyx_L1_error);
    __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 502, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_INCREF(__pyx_v_midPt);
    __Pyx_GIVEREF(__pyx_v_midPt);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_midPt) != (0)) __PYX_ERR(0, 502, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_v_pt2) != (0)) __PYX_ERR(0, 502, __pyx_L1_error);
    __pyx_t_1 = PyList_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 502, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_GIVEREF(__pyx_t_2);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_1, 0, __pyx_t_2) != (0)) __PYX_ERR(0, 502, __pyx_L1_error);
    __Pyx_GIVEREF(__pyx_t_3);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_1, 1, __pyx_t_3) != (0)) __PYX_ERR(0, 502, __pyx_L1_error);
    __pyx_t_2 = 0;
    __pyx_t_3 = 0;
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":500
 *         return [(pt1, pt2)]
 *     t = (where - (bx, by)[isHorizontal]) / a
 *     if 0 <= t < 1:             # <<<<<<<<<<<<<<
 *         midPt = ax * t + bx, ay * t + by
 *         return [(pt1, midPt), (midPt, pt2)]
*/
  }

  /* "fontTools/misc/bezierTools.py":504
 *         return [(pt1, midPt), (midPt, pt2)]
 *     else:
 *         return [(pt1, pt2)]             # <<<<<<<<<<<<<<
 * 
 * 
*/
  /*else*/ {
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 504, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_v_pt1);
    __Pyx_GIVEREF(__pyx_v_pt1);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_pt1) != (0)) __PYX_ERR(0, 504, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_pt2) != (0)) __PYX_ERR(0, 504, __pyx_L1_error);
    __pyx_t_3 = PyList_New(1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 504, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_GIVEREF(__pyx_t_1);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_3, 0, __pyx_t_1) != (0)) __PYX_ERR(0, 504, __pyx_L1_error);
    __pyx_t_1 = 0;
    __pyx_r = __pyx_t_3;
    __pyx_t_3 = 0;
    goto __pyx_L0;
  }

  /* "fontTools/misc/bezierTools.py":450
 * 
 * 
 * def splitLine(pt1, pt2, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a line at a given coordinate.
 * 
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitLine", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_pt1x);
  __Pyx_XDECREF(__pyx_v_pt1y);
  __Pyx_XDECREF(__pyx_v_pt2x);
  __Pyx_XDECREF(__pyx_v_pt2y);
  __Pyx_XDECREF(__pyx_v_ax);
  __Pyx_XDECREF(__pyx_v_ay);
  __Pyx_XDECREF(__pyx_v_bx);
  __Pyx_XDECREF(__pyx_v_by);
  __Pyx_XDECREF(__pyx_v_a);
  __Pyx_XDECREF(__pyx_v_t);
  __Pyx_XDECREF(__pyx_v_midPt);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":507
 * 
 * 
 * def splitQuadratic(pt1, pt2, pt3, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a quadratic Bezier curve at a given coordinate.
 * 
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_27splitQuadratic(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_26splitQuadratic, "splitQuadratic(pt1, pt2, pt3, where, isHorizontal)\n\nSplit a quadratic Bezier curve at a given coordinate.\n\nArgs:\n    pt1,pt2,pt3: Control points of the Bezier as 2D tuples.\n    where: Position at which to split the curve.\n    isHorizontal: Direction of the ray splitting the curve. If true,\n        ``where`` is interpreted as a Y coordinate; if false, then\n        ``where`` is interpreted as an X coordinate.\n\nReturns:\n    A list of two curve segments (each curve segment being three 2D tuples)\n    if the curve was successfully split, or a list containing the original\n    curve.\n\nExample::\n\n    >>> printSegments(splitQuadratic((0, 0), (50, 100), (100, 0), 150, False))\n    ((0, 0), (50, 100), (100, 0))\n    >>> printSegments(splitQuadratic((0, 0), (50, 100), (100, 0), 50, False))\n    ((0, 0), (25, 50), (50, 50))\n    ((50, 50), (75, 50), (100, 0))\n    >>> printSegments(splitQuadratic((0, 0), (50, 100), (100, 0), 25, False))\n    ((0, 0), (12.5, 25), (25, 37.5))\n    ((25, 37.5), (62.5, 75), (100, 0))\n    >>> printSegments(splitQuadratic((0, 0), (50, 100), (100, 0), 25, True))\n    ((0, 0), (7.32233, 14.6447), (14.6447, 25))\n    ((14.6447, 25), (50, 75), (85.3553, 25))\n    ((85.3553, 25), (92.6777, 14.6447), (100, -7.10543e-15))\n    >>> # XXX I'm not at all sure if the following behavior is desirable:\n    >>> printSegments(splitQuadratic((0, 0), (50, 100), (100, 0), 50, True))\n    ((0, 0), (25, 50), (50, 50))\n    ((50, 50), (50, 50), (50, 50))\n    ((50, 50), (75, 50), (100, 0))");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_27splitQuadratic = {"splitQuadratic", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_27splitQuadratic, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_26splitQuadratic};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_27splitQuadratic(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  PyObject *__pyx_v_where = 0;
  PyObject *__pyx_v_isHorizontal = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[5] = {0,0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("splitQuadratic (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_pt1,&__pyx_mstate_global->__pyx_n_u_pt2,&__pyx_mstate_global->__pyx_n_u_pt3,&__pyx_mstate_global->__pyx_n_u_where,&__pyx_mstate_global->__pyx_n_u_isHorizontal,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 507, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  5:
        values[4] = __Pyx_ArgRef_FASTCALL(__pyx_args, 4);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[4])) __PYX_ERR(0, 507, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 507, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 507, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 507, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 507, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "splitQuadratic", 0) < (0)) __PYX_ERR(0, 507, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 5; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("splitQuadratic", 1, 5, 5, i); __PYX_ERR(0, 507, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 5)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 507, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 507, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 507, __pyx_L3_error)
      values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 507, __pyx_L3_error)
      values[4] = __Pyx_ArgRef_FASTCALL(__pyx_args, 4);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[4])) __PYX_ERR(0, 507, __pyx_L3_error)
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
    __pyx_v_where = values[3];
    __pyx_v_isHorizontal = values[4];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("splitQuadratic", 1, 5, 5, __pyx_nargs); __PYX_ERR(0, 507, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitQuadratic", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_26splitQuadratic(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_where, __pyx_v_isHorizontal);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}
static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_14splitQuadratic_2generator2(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value); /* proto */

/* "fontTools/misc/bezierTools.py":546
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal] - where
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)             # <<<<<<<<<<<<<<
 *     if not solutions:
 *         return [(pt1, pt2, pt3)]
*/

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_14splitQuadratic_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr *__pyx_cur_scope;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("genexpr", 0);
  __pyx_cur_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr(__pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr, __pyx_mstate_global->__pyx_empty_tuple, NULL);
  if (unlikely(!__pyx_cur_scope)) {
    __pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr *)Py_None);
    __Pyx_INCREF(Py_None);
    __PYX_ERR(0, 546, __pyx_L1_error)
  } else {
    __Pyx_GOTREF((PyObject *)__pyx_cur_scope);
  }
  __pyx_cur_scope->__pyx_genexpr_arg_0 = __pyx_genexpr_arg_0;
  __Pyx_INCREF(__pyx_cur_scope->__pyx_genexpr_arg_0);
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_genexpr_arg_0);
  {
    __pyx_CoroutineObject *gen = __Pyx_Generator_New((__pyx_coroutine_body_t) __pyx_gb_9fontTools_4misc_11bezierTools_14splitQuadratic_2generator2, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[0]), (PyObject *) __pyx_cur_scope, __pyx_mstate_global->__pyx_n_u_genexpr, __pyx_mstate_global->__pyx_n_u_splitQuadratic_locals_genexpr, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools); if (unlikely(!gen)) __PYX_ERR(0, 546, __pyx_L1_error)
    __Pyx_DECREF(__pyx_cur_scope);
    __Pyx_RefNannyFinishContext();
    return (PyObject *) gen;
  }

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitQuadratic.genexpr", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __Pyx_DECREF((PyObject *)__pyx_cur_scope);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_14splitQuadratic_2generator2(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value) /* generator body */
{
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr *__pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr *)__pyx_generator->closure);
  PyObject *__pyx_r = NULL;
  PyObject *__pyx_t_1 = NULL;
  Py_ssize_t __pyx_t_2;
  PyObject *(*__pyx_t_3)(PyObject *);
  PyObject *__pyx_t_4 = NULL;
  int __pyx_t_5;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("genexpr", 0);
  switch (__pyx_generator->resume_label) {
    case 0: goto __pyx_L3_first_run;
    default: /* CPython raises the right error here */
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __pyx_L3_first_run:;
  if (unlikely(!__pyx_sent_value)) __PYX_ERR(0, 546, __pyx_L1_error)
  __pyx_r = PyList_New(0); if (unlikely(!__pyx_r)) __PYX_ERR(0, 546, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_r);
  if (unlikely(!__pyx_cur_scope->__pyx_genexpr_arg_0)) { __Pyx_RaiseUnboundLocalError(".0"); __PYX_ERR(0, 546, __pyx_L1_error) }
  if (likely(PyList_CheckExact(__pyx_cur_scope->__pyx_genexpr_arg_0)) || PyTuple_CheckExact(__pyx_cur_scope->__pyx_genexpr_arg_0)) {
    __pyx_t_1 = __pyx_cur_scope->__pyx_genexpr_arg_0; __Pyx_INCREF(__pyx_t_1);
    __pyx_t_2 = 0;
    __pyx_t_3 = NULL;
  } else {
    __pyx_t_2 = -1; __pyx_t_1 = PyObject_GetIter(__pyx_cur_scope->__pyx_genexpr_arg_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 546, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 546, __pyx_L1_error)
  }
  for (;;) {
    if (likely(!__pyx_t_3)) {
      if (likely(PyList_CheckExact(__pyx_t_1))) {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_SIZE
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 546, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        __pyx_t_4 = __Pyx_PyList_GetItemRefFast(__pyx_t_1, __pyx_t_2, __Pyx_ReferenceSharing_OwnStrongReference);
        ++__pyx_t_2;
      } else {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_SIZE
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 546, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_4 = __Pyx_NewRef(PyTuple_GET_ITEM(__pyx_t_1, __pyx_t_2));
        #else
        __pyx_t_4 = __Pyx_PySequence_ITEM(__pyx_t_1, __pyx_t_2);
        #endif
        ++__pyx_t_2;
      }
      if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 546, __pyx_L1_error)
    } else {
      __pyx_t_4 = __pyx_t_3(__pyx_t_1);
      if (unlikely(!__pyx_t_4)) {
        PyObject* exc_type = PyErr_Occurred();
        if (exc_type) {
          if (unlikely(!__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) __PYX_ERR(0, 546, __pyx_L1_error)
          PyErr_Clear();
        }
        break;
      }
    }
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_XGOTREF(__pyx_cur_scope->__pyx_v_t);
    __Pyx_XDECREF_SET(__pyx_cur_scope->__pyx_v_t, __pyx_t_4);
    __Pyx_GIVEREF(__pyx_t_4);
    __pyx_t_4 = 0;
    __pyx_t_4 = PyObject_RichCompare(__pyx_mstate_global->__pyx_int_0, __pyx_cur_scope->__pyx_v_t, Py_LE); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 546, __pyx_L1_error)
    if (__Pyx_PyObject_IsTrue(__pyx_t_4)) {
      __Pyx_DECREF(__pyx_t_4);
      __pyx_t_4 = PyObject_RichCompare(__pyx_cur_scope->__pyx_v_t, __pyx_mstate_global->__pyx_int_1, Py_LT); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 546, __pyx_L1_error)
    }
    __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 546, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    if (__pyx_t_5) {
      if (unlikely(__Pyx_ListComp_Append(__pyx_r, (PyObject*)__pyx_cur_scope->__pyx_v_t))) __PYX_ERR(0, 546, __pyx_L1_error)
    }
  }
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  CYTHON_MAYBE_UNUSED_VAR(__pyx_cur_scope);

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_r); __pyx_r = 0;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_4);
  if (__Pyx_PyErr_Occurred()) {
    __Pyx_Generator_Replace_StopIteration(0);
    __Pyx_AddTraceback("genexpr", __pyx_clineno, __pyx_lineno, __pyx_filename);
  }
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  #if !CYTHON_USE_EXC_INFO_STACK
  __Pyx_Coroutine_ResetAndClearException(__pyx_generator);
  #endif
  __pyx_generator->resume_label = -1;
  __Pyx_Coroutine_clear((PyObject*)__pyx_generator);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":507
 * 
 * 
 * def splitQuadratic(pt1, pt2, pt3, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a quadratic Bezier curve at a given coordinate.
 * 
*/

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_26splitQuadratic(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_where, PyObject *__pyx_v_isHorizontal) {
  PyObject *__pyx_v_a = NULL;
  PyObject *__pyx_v_b = NULL;
  PyObject *__pyx_v_c = NULL;
  PyObject *__pyx_v_solutions = NULL;
  PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_14splitQuadratic_2generator2 = 0;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  size_t __pyx_t_4;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *(*__pyx_t_7)(PyObject *);
  PyObject *__pyx_t_8 = NULL;
  PyObject *__pyx_t_9 = NULL;
  int __pyx_t_10;
  int __pyx_t_11;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("splitQuadratic", 0);

  /* "fontTools/misc/bezierTools.py":542
 *         ((50, 50), (75, 50), (100, 0))
 *     """
 *     a, b, c = calcQuadraticParameters(pt1, pt2, pt3)             # <<<<<<<<<<<<<<
 *     solutions = solveQuadratic(
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal] - where
*/
  __pyx_t_2 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_calcQuadraticParameters); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 542, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    assert(__pyx_t_2);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
    __pyx_t_4 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[4] = {__pyx_t_2, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_4, (4-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 542, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  if ((likely(PyTuple_CheckExact(__pyx_t_1))) || (PyList_CheckExact(__pyx_t_1))) {
    PyObject* sequence = __pyx_t_1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 3)) {
      if (size > 3) __Pyx_RaiseTooManyValuesError(3);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 542, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_3 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_3);
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_2);
      __pyx_t_5 = PyTuple_GET_ITEM(sequence, 2);
      __Pyx_INCREF(__pyx_t_5);
    } else {
      __pyx_t_3 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 542, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_3);
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 542, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
      __pyx_t_5 = __Pyx_PyList_GetItemRefFast(sequence, 2, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 542, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_5);
    }
    #else
    __pyx_t_3 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 542, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 542, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_5 = __Pyx_PySequence_ITEM(sequence, 2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 542, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    #endif
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_6 = PyObject_GetIter(__pyx_t_1); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 542, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_7 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_6);
    index = 0; __pyx_t_3 = __pyx_t_7(__pyx_t_6); if (unlikely(!__pyx_t_3)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_3);
    index = 1; __pyx_t_2 = __pyx_t_7(__pyx_t_6); if (unlikely(!__pyx_t_2)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 2; __pyx_t_5 = __pyx_t_7(__pyx_t_6); if (unlikely(!__pyx_t_5)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_5);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_7(__pyx_t_6), 3) < (0)) __PYX_ERR(0, 542, __pyx_L1_error)
    __pyx_t_7 = NULL;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_7 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 542, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_a = __pyx_t_3;
  __pyx_t_3 = 0;
  __pyx_v_b = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_c = __pyx_t_5;
  __pyx_t_5 = 0;

  /* "fontTools/misc/bezierTools.py":543
 *     """
 *     a, b, c = calcQuadraticParameters(pt1, pt2, pt3)
 *     solutions = solveQuadratic(             # <<<<<<<<<<<<<<
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal] - where
 *     )
*/
  __pyx_t_5 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_solveQuadratic); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 543, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);

  /* "fontTools/misc/bezierTools.py":544
 *     a, b, c = calcQuadraticParameters(pt1, pt2, pt3)
 *     solutions = solveQuadratic(
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal] - where             # <<<<<<<<<<<<<<
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)
*/
  __pyx_t_3 = __Pyx_PyObject_GetItem(__pyx_v_a, __pyx_v_isHorizontal); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 544, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_6 = __Pyx_PyObject_GetItem(__pyx_v_b, __pyx_v_isHorizontal); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 544, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __pyx_t_8 = __Pyx_PyObject_GetItem(__pyx_v_c, __pyx_v_isHorizontal); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 544, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_8);
  __pyx_t_9 = PyNumber_Subtract(__pyx_t_8, __pyx_v_where); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 544, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_9);
  __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
  __pyx_t_4 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_5 = PyMethod_GET_SELF(__pyx_t_2);
    assert(__pyx_t_5);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_5);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_2, __pyx__function);
    __pyx_t_4 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[4] = {__pyx_t_5, __pyx_t_3, __pyx_t_6, __pyx_t_9};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_2, __pyx_callargs+__pyx_t_4, (4-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 543, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_v_solutions = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":546
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal] - where
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)             # <<<<<<<<<<<<<<
 *     if not solutions:
 *         return [(pt1, pt2, pt3)]
*/
  __pyx_t_1 = __pyx_pf_9fontTools_4misc_11bezierTools_14splitQuadratic_genexpr(NULL, __pyx_v_solutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 546, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_Generator_GetInlinedResult(__pyx_t_1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 546, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (unlikely((PyList_Sort(__pyx_t_2) < 0))) __PYX_ERR(0, 546, __pyx_L1_error)
  __Pyx_DECREF_SET(__pyx_v_solutions, __pyx_t_2);
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":547
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)
 *     if not solutions:             # <<<<<<<<<<<<<<
 *         return [(pt1, pt2, pt3)]
 *     return _splitQuadraticAtT(a, b, c, *solutions)
*/
  __pyx_t_10 = __Pyx_PyObject_IsTrue(__pyx_v_solutions); if (unlikely((__pyx_t_10 < 0))) __PYX_ERR(0, 547, __pyx_L1_error)
  __pyx_t_11 = (!__pyx_t_10);
  if (__pyx_t_11) {

    /* "fontTools/misc/bezierTools.py":548
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)
 *     if not solutions:
 *         return [(pt1, pt2, pt3)]             # <<<<<<<<<<<<<<
 *     return _splitQuadraticAtT(a, b, c, *solutions)
 * 
*/
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_2 = PyTuple_New(3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 548, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_v_pt1);
    __Pyx_GIVEREF(__pyx_v_pt1);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_pt1) != (0)) __PYX_ERR(0, 548, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_pt2) != (0)) __PYX_ERR(0, 548, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt3);
    __Pyx_GIVEREF(__pyx_v_pt3);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 2, __pyx_v_pt3) != (0)) __PYX_ERR(0, 548, __pyx_L1_error);
    __pyx_t_1 = PyList_New(1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 548, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_GIVEREF(__pyx_t_2);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_1, 0, __pyx_t_2) != (0)) __PYX_ERR(0, 548, __pyx_L1_error);
    __pyx_t_2 = 0;
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":547
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)
 *     if not solutions:             # <<<<<<<<<<<<<<
 *         return [(pt1, pt2, pt3)]
 *     return _splitQuadraticAtT(a, b, c, *solutions)
*/
  }

  /* "fontTools/misc/bezierTools.py":549
 *     if not solutions:
 *         return [(pt1, pt2, pt3)]
 *     return _splitQuadraticAtT(a, b, c, *solutions)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_mstate_global->__pyx_n_u_splitQuadraticAtT); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 549, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyTuple_New(3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 549, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_INCREF(__pyx_v_a);
  __Pyx_GIVEREF(__pyx_v_a);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_a) != (0)) __PYX_ERR(0, 549, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_b);
  __Pyx_GIVEREF(__pyx_v_b);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_b) != (0)) __PYX_ERR(0, 549, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_c);
  __Pyx_GIVEREF(__pyx_v_c);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 2, __pyx_v_c) != (0)) __PYX_ERR(0, 549, __pyx_L1_error);
  __pyx_t_9 = __Pyx_PySequence_Tuple(__pyx_v_solutions); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 549, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_9);
  __pyx_t_6 = PyNumber_Add(__pyx_t_2, __pyx_t_9); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 549, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
  __pyx_t_9 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_t_6, NULL); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 549, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_9);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_r = __pyx_t_9;
  __pyx_t_9 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":507
 * 
 * 
 * def splitQuadratic(pt1, pt2, pt3, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a quadratic Bezier curve at a given coordinate.
 * 
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_XDECREF(__pyx_t_9);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitQuadratic", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_a);
  __Pyx_XDECREF(__pyx_v_b);
  __Pyx_XDECREF(__pyx_v_c);
  __Pyx_XDECREF(__pyx_v_solutions);
  __Pyx_XDECREF(__pyx_gb_9fontTools_4misc_11bezierTools_14splitQuadratic_2generator2);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":552
 * 
 * 
 * def splitCubic(pt1, pt2, pt3, pt4, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a cubic Bezier curve at a given coordinate.
 * 
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_29splitCubic(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_28splitCubic, "splitCubic(pt1, pt2, pt3, pt4, where, isHorizontal)\n\nSplit a cubic Bezier curve at a given coordinate.\n\nArgs:\n    pt1,pt2,pt3,pt4: Control points of the Bezier as 2D tuples.\n    where: Position at which to split the curve.\n    isHorizontal: Direction of the ray splitting the curve. If true,\n        ``where`` is interpreted as a Y coordinate; if false, then\n        ``where`` is interpreted as an X coordinate.\n\nReturns:\n    A list of two curve segments (each curve segment being four 2D tuples)\n    if the curve was successfully split, or a list containing the original\n    curve.\n\nExample::\n\n    >>> printSegments(splitCubic((0, 0), (25, 100), (75, 100), (100, 0), 150, False))\n    ((0, 0), (25, 100), (75, 100), (100, 0))\n    >>> printSegments(splitCubic((0, 0), (25, 100), (75, 100), (100, 0), 50, False))\n    ((0, 0), (12.5, 50), (31.25, 75), (50, 75))\n    ((50, 75), (68.75, 75), (87.5, 50), (100, 0))\n    >>> printSegments(splitCubic((0, 0), (25, 100), (75, 100), (100, 0), 25, True))\n    ((0, 0), (2.29379, 9.17517), (4.79804, 17.5085), (7.47414, 25))\n    ((7.47414, 25), (31.2886, 91.6667), (68.7114, 91.6667), (92.5259, 25))\n    ((92.5259, 25), (95.202, 17.5085), (97.7062, 9.17517), (100, 1.77636e-15))");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_29splitCubic = {"splitCubic", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_29splitCubic, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_28splitCubic};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_29splitCubic(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  PyObject *__pyx_v_pt4 = 0;
  PyObject *__pyx_v_where = 0;
  PyObject *__pyx_v_isHorizontal = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[6] = {0,0,0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("splitCubic (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_pt1,&__pyx_mstate_global->__pyx_n_u_pt2,&__pyx_mstate_global->__pyx_n_u_pt3,&__pyx_mstate_global->__pyx_n_u_pt4,&__pyx_mstate_global->__pyx_n_u_where,&__pyx_mstate_global->__pyx_n_u_isHorizontal,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 552, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  6:
        values[5] = __Pyx_ArgRef_FASTCALL(__pyx_args, 5);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[5])) __PYX_ERR(0, 552, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  5:
        values[4] = __Pyx_ArgRef_FASTCALL(__pyx_args, 4);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[4])) __PYX_ERR(0, 552, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 552, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 552, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 552, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 552, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "splitCubic", 0) < (0)) __PYX_ERR(0, 552, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 6; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("splitCubic", 1, 6, 6, i); __PYX_ERR(0, 552, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 6)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 552, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 552, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 552, __pyx_L3_error)
      values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 552, __pyx_L3_error)
      values[4] = __Pyx_ArgRef_FASTCALL(__pyx_args, 4);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[4])) __PYX_ERR(0, 552, __pyx_L3_error)
      values[5] = __Pyx_ArgRef_FASTCALL(__pyx_args, 5);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[5])) __PYX_ERR(0, 552, __pyx_L3_error)
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
    __pyx_v_pt4 = values[3];
    __pyx_v_where = values[4];
    __pyx_v_isHorizontal = values[5];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("splitCubic", 1, 6, 6, __pyx_nargs); __PYX_ERR(0, 552, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitCubic", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_28splitCubic(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4, __pyx_v_where, __pyx_v_isHorizontal);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}
static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_10splitCubic_2generator3(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value); /* proto */

/* "fontTools/misc/bezierTools.py":583
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal], d[isHorizontal] - where
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)             # <<<<<<<<<<<<<<
 *     if not solutions:
 *         return [(pt1, pt2, pt3, pt4)]
*/

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_10splitCubic_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr *__pyx_cur_scope;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("genexpr", 0);
  __pyx_cur_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr(__pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr, __pyx_mstate_global->__pyx_empty_tuple, NULL);
  if (unlikely(!__pyx_cur_scope)) {
    __pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr *)Py_None);
    __Pyx_INCREF(Py_None);
    __PYX_ERR(0, 583, __pyx_L1_error)
  } else {
    __Pyx_GOTREF((PyObject *)__pyx_cur_scope);
  }
  __pyx_cur_scope->__pyx_genexpr_arg_0 = __pyx_genexpr_arg_0;
  __Pyx_INCREF(__pyx_cur_scope->__pyx_genexpr_arg_0);
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_genexpr_arg_0);
  {
    __pyx_CoroutineObject *gen = __Pyx_Generator_New((__pyx_coroutine_body_t) __pyx_gb_9fontTools_4misc_11bezierTools_10splitCubic_2generator3, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[1]), (PyObject *) __pyx_cur_scope, __pyx_mstate_global->__pyx_n_u_genexpr, __pyx_mstate_global->__pyx_n_u_splitCubic_locals_genexpr, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools); if (unlikely(!gen)) __PYX_ERR(0, 583, __pyx_L1_error)
    __Pyx_DECREF(__pyx_cur_scope);
    __Pyx_RefNannyFinishContext();
    return (PyObject *) gen;
  }

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitCubic.genexpr", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __Pyx_DECREF((PyObject *)__pyx_cur_scope);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_10splitCubic_2generator3(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value) /* generator body */
{
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr *__pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr *)__pyx_generator->closure);
  PyObject *__pyx_r = NULL;
  PyObject *__pyx_t_1 = NULL;
  Py_ssize_t __pyx_t_2;
  PyObject *(*__pyx_t_3)(PyObject *);
  PyObject *__pyx_t_4 = NULL;
  int __pyx_t_5;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("genexpr", 0);
  switch (__pyx_generator->resume_label) {
    case 0: goto __pyx_L3_first_run;
    default: /* CPython raises the right error here */
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __pyx_L3_first_run:;
  if (unlikely(!__pyx_sent_value)) __PYX_ERR(0, 583, __pyx_L1_error)
  __pyx_r = PyList_New(0); if (unlikely(!__pyx_r)) __PYX_ERR(0, 583, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_r);
  if (unlikely(!__pyx_cur_scope->__pyx_genexpr_arg_0)) { __Pyx_RaiseUnboundLocalError(".0"); __PYX_ERR(0, 583, __pyx_L1_error) }
  if (likely(PyList_CheckExact(__pyx_cur_scope->__pyx_genexpr_arg_0)) || PyTuple_CheckExact(__pyx_cur_scope->__pyx_genexpr_arg_0)) {
    __pyx_t_1 = __pyx_cur_scope->__pyx_genexpr_arg_0; __Pyx_INCREF(__pyx_t_1);
    __pyx_t_2 = 0;
    __pyx_t_3 = NULL;
  } else {
    __pyx_t_2 = -1; __pyx_t_1 = PyObject_GetIter(__pyx_cur_scope->__pyx_genexpr_arg_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 583, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 583, __pyx_L1_error)
  }
  for (;;) {
    if (likely(!__pyx_t_3)) {
      if (likely(PyList_CheckExact(__pyx_t_1))) {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_SIZE
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 583, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        __pyx_t_4 = __Pyx_PyList_GetItemRefFast(__pyx_t_1, __pyx_t_2, __Pyx_ReferenceSharing_OwnStrongReference);
        ++__pyx_t_2;
      } else {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_SIZE
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 583, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_4 = __Pyx_NewRef(PyTuple_GET_ITEM(__pyx_t_1, __pyx_t_2));
        #else
        __pyx_t_4 = __Pyx_PySequence_ITEM(__pyx_t_1, __pyx_t_2);
        #endif
        ++__pyx_t_2;
      }
      if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 583, __pyx_L1_error)
    } else {
      __pyx_t_4 = __pyx_t_3(__pyx_t_1);
      if (unlikely(!__pyx_t_4)) {
        PyObject* exc_type = PyErr_Occurred();
        if (exc_type) {
          if (unlikely(!__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) __PYX_ERR(0, 583, __pyx_L1_error)
          PyErr_Clear();
        }
        break;
      }
    }
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_XGOTREF(__pyx_cur_scope->__pyx_v_t);
    __Pyx_XDECREF_SET(__pyx_cur_scope->__pyx_v_t, __pyx_t_4);
    __Pyx_GIVEREF(__pyx_t_4);
    __pyx_t_4 = 0;
    __pyx_t_4 = PyObject_RichCompare(__pyx_mstate_global->__pyx_int_0, __pyx_cur_scope->__pyx_v_t, Py_LE); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 583, __pyx_L1_error)
    if (__Pyx_PyObject_IsTrue(__pyx_t_4)) {
      __Pyx_DECREF(__pyx_t_4);
      __pyx_t_4 = PyObject_RichCompare(__pyx_cur_scope->__pyx_v_t, __pyx_mstate_global->__pyx_int_1, Py_LT); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 583, __pyx_L1_error)
    }
    __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 583, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    if (__pyx_t_5) {
      if (unlikely(__Pyx_ListComp_Append(__pyx_r, (PyObject*)__pyx_cur_scope->__pyx_v_t))) __PYX_ERR(0, 583, __pyx_L1_error)
    }
  }
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  CYTHON_MAYBE_UNUSED_VAR(__pyx_cur_scope);

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_r); __pyx_r = 0;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_4);
  if (__Pyx_PyErr_Occurred()) {
    __Pyx_Generator_Replace_StopIteration(0);
    __Pyx_AddTraceback("genexpr", __pyx_clineno, __pyx_lineno, __pyx_filename);
  }
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  #if !CYTHON_USE_EXC_INFO_STACK
  __Pyx_Coroutine_ResetAndClearException(__pyx_generator);
  #endif
  __pyx_generator->resume_label = -1;
  __Pyx_Coroutine_clear((PyObject*)__pyx_generator);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":552
 * 
 * 
 * def splitCubic(pt1, pt2, pt3, pt4, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a cubic Bezier curve at a given coordinate.
 * 
*/

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_28splitCubic(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4, PyObject *__pyx_v_where, PyObject *__pyx_v_isHorizontal) {
  PyObject *__pyx_v_a = NULL;
  PyObject *__pyx_v_b = NULL;
  PyObject *__pyx_v_c = NULL;
  PyObject *__pyx_v_d = NULL;
  PyObject *__pyx_v_solutions = NULL;
  PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_10splitCubic_2generator3 = 0;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  size_t __pyx_t_4;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  PyObject *(*__pyx_t_8)(PyObject *);
  PyObject *__pyx_t_9 = NULL;
  PyObject *__pyx_t_10 = NULL;
  int __pyx_t_11;
  int __pyx_t_12;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("splitCubic", 0);

  /* "fontTools/misc/bezierTools.py":579
 *         ((92.5259, 25), (95.202, 17.5085), (97.7062, 9.17517), (100, 1.77636e-15))
 *     """
 *     a, b, c, d = calcCubicParameters(pt1, pt2, pt3, pt4)             # <<<<<<<<<<<<<<
 *     solutions = solveCubic(
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal], d[isHorizontal] - where
*/
  __pyx_t_2 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_calcCubicParameters); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 579, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    assert(__pyx_t_2);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
    __pyx_t_4 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[5] = {__pyx_t_2, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_4, (5-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 579, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  if ((likely(PyTuple_CheckExact(__pyx_t_1))) || (PyList_CheckExact(__pyx_t_1))) {
    PyObject* sequence = __pyx_t_1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 4)) {
      if (size > 4) __Pyx_RaiseTooManyValuesError(4);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 579, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_3 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_3);
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_2);
      __pyx_t_5 = PyTuple_GET_ITEM(sequence, 2);
      __Pyx_INCREF(__pyx_t_5);
      __pyx_t_6 = PyTuple_GET_ITEM(sequence, 3);
      __Pyx_INCREF(__pyx_t_6);
    } else {
      __pyx_t_3 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 579, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_3);
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 579, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
      __pyx_t_5 = __Pyx_PyList_GetItemRefFast(sequence, 2, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 579, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_5);
      __pyx_t_6 = __Pyx_PyList_GetItemRefFast(sequence, 3, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 579, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_6);
    }
    #else
    {
      Py_ssize_t i;
      PyObject** temps[4] = {&__pyx_t_3,&__pyx_t_2,&__pyx_t_5,&__pyx_t_6};
      for (i=0; i < 4; i++) {
        PyObject* item = __Pyx_PySequence_ITEM(sequence, i); if (unlikely(!item)) __PYX_ERR(0, 579, __pyx_L1_error)
        __Pyx_GOTREF(item);
        *(temps[i]) = item;
      }
    }
    #endif
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  } else {
    Py_ssize_t index = -1;
    PyObject** temps[4] = {&__pyx_t_3,&__pyx_t_2,&__pyx_t_5,&__pyx_t_6};
    __pyx_t_7 = PyObject_GetIter(__pyx_t_1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 579, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_8 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_7);
    for (index=0; index < 4; index++) {
      PyObject* item = __pyx_t_8(__pyx_t_7); if (unlikely(!item)) goto __pyx_L3_unpacking_failed;
      __Pyx_GOTREF(item);
      *(temps[index]) = item;
    }
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_7), 4) < (0)) __PYX_ERR(0, 579, __pyx_L1_error)
    __pyx_t_8 = NULL;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __pyx_t_8 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 579, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_a = __pyx_t_3;
  __pyx_t_3 = 0;
  __pyx_v_b = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_c = __pyx_t_5;
  __pyx_t_5 = 0;
  __pyx_v_d = __pyx_t_6;
  __pyx_t_6 = 0;

  /* "fontTools/misc/bezierTools.py":580
 *     """
 *     a, b, c, d = calcCubicParameters(pt1, pt2, pt3, pt4)
 *     solutions = solveCubic(             # <<<<<<<<<<<<<<
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal], d[isHorizontal] - where
 *     )
*/
  __pyx_t_6 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_5, __pyx_mstate_global->__pyx_n_u_solveCubic); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 580, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);

  /* "fontTools/misc/bezierTools.py":581
 *     a, b, c, d = calcCubicParameters(pt1, pt2, pt3, pt4)
 *     solutions = solveCubic(
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal], d[isHorizontal] - where             # <<<<<<<<<<<<<<
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)
*/
  __pyx_t_2 = __Pyx_PyObject_GetItem(__pyx_v_a, __pyx_v_isHorizontal); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 581, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __Pyx_PyObject_GetItem(__pyx_v_b, __pyx_v_isHorizontal); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 581, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_7 = __Pyx_PyObject_GetItem(__pyx_v_c, __pyx_v_isHorizontal); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 581, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __pyx_t_9 = __Pyx_PyObject_GetItem(__pyx_v_d, __pyx_v_isHorizontal); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 581, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_9);
  __pyx_t_10 = PyNumber_Subtract(__pyx_t_9, __pyx_v_where); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 581, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_10);
  __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
  __pyx_t_4 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_5))) {
    __pyx_t_6 = PyMethod_GET_SELF(__pyx_t_5);
    assert(__pyx_t_6);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_5);
    __Pyx_INCREF(__pyx_t_6);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_5, __pyx__function);
    __pyx_t_4 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[5] = {__pyx_t_6, __pyx_t_2, __pyx_t_3, __pyx_t_7, __pyx_t_10};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_5, __pyx_callargs+__pyx_t_4, (5-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 580, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_v_solutions = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":583
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal], d[isHorizontal] - where
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)             # <<<<<<<<<<<<<<
 *     if not solutions:
 *         return [(pt1, pt2, pt3, pt4)]
*/
  __pyx_t_1 = __pyx_pf_9fontTools_4misc_11bezierTools_10splitCubic_genexpr(NULL, __pyx_v_solutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 583, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_5 = __Pyx_Generator_GetInlinedResult(__pyx_t_1); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 583, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (unlikely((PyList_Sort(__pyx_t_5) < 0))) __PYX_ERR(0, 583, __pyx_L1_error)
  __Pyx_DECREF_SET(__pyx_v_solutions, __pyx_t_5);
  __pyx_t_5 = 0;

  /* "fontTools/misc/bezierTools.py":584
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)
 *     if not solutions:             # <<<<<<<<<<<<<<
 *         return [(pt1, pt2, pt3, pt4)]
 *     return _splitCubicAtT(a, b, c, d, *solutions)
*/
  __pyx_t_11 = __Pyx_PyObject_IsTrue(__pyx_v_solutions); if (unlikely((__pyx_t_11 < 0))) __PYX_ERR(0, 584, __pyx_L1_error)
  __pyx_t_12 = (!__pyx_t_11);
  if (__pyx_t_12) {

    /* "fontTools/misc/bezierTools.py":585
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)
 *     if not solutions:
 *         return [(pt1, pt2, pt3, pt4)]             # <<<<<<<<<<<<<<
 *     return _splitCubicAtT(a, b, c, d, *solutions)
 * 
*/
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_5 = PyTuple_New(4); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 585, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_INCREF(__pyx_v_pt1);
    __Pyx_GIVEREF(__pyx_v_pt1);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_v_pt1) != (0)) __PYX_ERR(0, 585, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_v_pt2) != (0)) __PYX_ERR(0, 585, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt3);
    __Pyx_GIVEREF(__pyx_v_pt3);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 2, __pyx_v_pt3) != (0)) __PYX_ERR(0, 585, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt4);
    __Pyx_GIVEREF(__pyx_v_pt4);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 3, __pyx_v_pt4) != (0)) __PYX_ERR(0, 585, __pyx_L1_error);
    __pyx_t_1 = PyList_New(1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 585, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_GIVEREF(__pyx_t_5);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_1, 0, __pyx_t_5) != (0)) __PYX_ERR(0, 585, __pyx_L1_error);
    __pyx_t_5 = 0;
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":584
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)
 *     if not solutions:             # <<<<<<<<<<<<<<
 *         return [(pt1, pt2, pt3, pt4)]
 *     return _splitCubicAtT(a, b, c, d, *solutions)
*/
  }

  /* "fontTools/misc/bezierTools.py":586
 *     if not solutions:
 *         return [(pt1, pt2, pt3, pt4)]
 *     return _splitCubicAtT(a, b, c, d, *solutions)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_mstate_global->__pyx_n_u_splitCubicAtT); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 586, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_5 = PyTuple_New(4); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 586, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_INCREF(__pyx_v_a);
  __Pyx_GIVEREF(__pyx_v_a);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_v_a) != (0)) __PYX_ERR(0, 586, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_b);
  __Pyx_GIVEREF(__pyx_v_b);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_v_b) != (0)) __PYX_ERR(0, 586, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_c);
  __Pyx_GIVEREF(__pyx_v_c);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 2, __pyx_v_c) != (0)) __PYX_ERR(0, 586, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_d);
  __Pyx_GIVEREF(__pyx_v_d);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 3, __pyx_v_d) != (0)) __PYX_ERR(0, 586, __pyx_L1_error);
  __pyx_t_10 = __Pyx_PySequence_Tuple(__pyx_v_solutions); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 586, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_10);
  __pyx_t_7 = PyNumber_Add(__pyx_t_5, __pyx_t_10); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 586, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
  __pyx_t_10 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_t_7, NULL); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 586, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_10);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
  __pyx_r = __pyx_t_10;
  __pyx_t_10 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":552
 * 
 * 
 * def splitCubic(pt1, pt2, pt3, pt4, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a cubic Bezier curve at a given coordinate.
 * 
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_XDECREF(__pyx_t_9);
  __Pyx_XDECREF(__pyx_t_10);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitCubic", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_a);
  __Pyx_XDECREF(__pyx_v_b);
  __Pyx_XDECREF(__pyx_v_c);
  __Pyx_XDECREF(__pyx_v_d);
  __Pyx_XDECREF(__pyx_v_solutions);
  __Pyx_XDECREF(__pyx_gb_9fontTools_4misc_11bezierTools_10splitCubic_2generator3);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":589
 * 
 * 
 * def splitQuadraticAtT(pt1, pt2, pt3, *ts):             # <<<<<<<<<<<<<<
 *     """Split a quadratic Bezier curve at one or more values of t.
 * 
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_31splitQuadraticAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_30splitQuadraticAtT, "splitQuadraticAtT(pt1, pt2, pt3, *ts)\n\nSplit a quadratic Bezier curve at one or more values of t.\n\nArgs:\n    pt1,pt2,pt3: Control points of the Bezier as 2D tuples.\n    *ts: Positions at which to split the curve.\n\nReturns:\n    A list of curve segments (each curve segment being three 2D tuples).\n\nExamples::\n\n    >>> printSegments(splitQuadraticAtT((0, 0), (50, 100), (100, 0), 0.5))\n    ((0, 0), (25, 50), (50, 50))\n    ((50, 50), (75, 50), (100, 0))\n    >>> printSegments(splitQuadraticAtT((0, 0), (50, 100), (100, 0), 0.5, 0.75))\n    ((0, 0), (25, 50), (50, 50))\n    ((50, 50), (62.5, 50), (75, 37.5))\n    ((75, 37.5), (87.5, 25), (100, 0))");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_31splitQuadraticAtT = {"splitQuadraticAtT", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_31splitQuadraticAtT, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_30splitQuadraticAtT};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_31splitQuadraticAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  PyObject *__pyx_v_ts = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[3] = {0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("splitQuadraticAtT (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  __pyx_v_ts = __Pyx_ArgsSlice_FASTCALL(__pyx_args, 3, __pyx_nargs);
  if (unlikely(!__pyx_v_ts)) {
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __Pyx_GOTREF(__pyx_v_ts);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_pt1,&__pyx_mstate_global->__pyx_n_u_pt2,&__pyx_mstate_global->__pyx_n_u_pt3,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 589, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        default:
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 589, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 589, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 589, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      const Py_ssize_t used_pos_args = (kwd_pos_args < 3) ? kwd_pos_args : 3;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, used_pos_args, __pyx_kwds_len, "splitQuadraticAtT", 0) < (0)) __PYX_ERR(0, 589, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 3; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("splitQuadraticAtT", 0, 3, 3, i); __PYX_ERR(0, 589, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs < 3)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 589, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 589, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 589, __pyx_L3_error)
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("splitQuadraticAtT", 0, 3, 3, __pyx_nargs); __PYX_ERR(0, 589, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_DECREF(__pyx_v_ts); __pyx_v_ts = 0;
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitQuadraticAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_30splitQuadraticAtT(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_ts);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_DECREF(__pyx_v_ts);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_30splitQuadraticAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_ts) {
  PyObject *__pyx_v_a = NULL;
  PyObject *__pyx_v_b = NULL;
  PyObject *__pyx_v_c = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  size_t __pyx_t_4;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *(*__pyx_t_7)(PyObject *);
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("splitQuadraticAtT", 0);

  /* "fontTools/misc/bezierTools.py":609
 *         ((75, 37.5), (87.5, 25), (100, 0))
 *     """
 *     a, b, c = calcQuadraticParameters(pt1, pt2, pt3)             # <<<<<<<<<<<<<<
 *     return _splitQuadraticAtT(a, b, c, *ts)
 * 
*/
  __pyx_t_2 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_calcQuadraticParameters); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 609, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    assert(__pyx_t_2);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
    __pyx_t_4 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[4] = {__pyx_t_2, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_4, (4-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 609, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  if ((likely(PyTuple_CheckExact(__pyx_t_1))) || (PyList_CheckExact(__pyx_t_1))) {
    PyObject* sequence = __pyx_t_1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 3)) {
      if (size > 3) __Pyx_RaiseTooManyValuesError(3);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 609, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_3 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_3);
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_2);
      __pyx_t_5 = PyTuple_GET_ITEM(sequence, 2);
      __Pyx_INCREF(__pyx_t_5);
    } else {
      __pyx_t_3 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 609, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_3);
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 609, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
      __pyx_t_5 = __Pyx_PyList_GetItemRefFast(sequence, 2, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 609, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_5);
    }
    #else
    __pyx_t_3 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 609, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 609, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_5 = __Pyx_PySequence_ITEM(sequence, 2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 609, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    #endif
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_6 = PyObject_GetIter(__pyx_t_1); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 609, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_7 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_6);
    index = 0; __pyx_t_3 = __pyx_t_7(__pyx_t_6); if (unlikely(!__pyx_t_3)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_3);
    index = 1; __pyx_t_2 = __pyx_t_7(__pyx_t_6); if (unlikely(!__pyx_t_2)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 2; __pyx_t_5 = __pyx_t_7(__pyx_t_6); if (unlikely(!__pyx_t_5)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_5);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_7(__pyx_t_6), 3) < (0)) __PYX_ERR(0, 609, __pyx_L1_error)
    __pyx_t_7 = NULL;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_7 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 609, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_a = __pyx_t_3;
  __pyx_t_3 = 0;
  __pyx_v_b = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_c = __pyx_t_5;
  __pyx_t_5 = 0;

  /* "fontTools/misc/bezierTools.py":610
 *     """
 *     a, b, c = calcQuadraticParameters(pt1, pt2, pt3)
 *     return _splitQuadraticAtT(a, b, c, *ts)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_mstate_global->__pyx_n_u_splitQuadraticAtT); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 610, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_5 = PyTuple_New(3); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 610, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_INCREF(__pyx_v_a);
  __Pyx_GIVEREF(__pyx_v_a);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_v_a) != (0)) __PYX_ERR(0, 610, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_b);
  __Pyx_GIVEREF(__pyx_v_b);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_v_b) != (0)) __PYX_ERR(0, 610, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_c);
  __Pyx_GIVEREF(__pyx_v_c);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 2, __pyx_v_c) != (0)) __PYX_ERR(0, 610, __pyx_L1_error);
  __pyx_t_2 = PyNumber_Add(__pyx_t_5, __pyx_v_ts); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 610, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_t_5 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_t_2, NULL); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 610, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_r = __pyx_t_5;
  __pyx_t_5 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":589
 * 
 * 
 * def splitQuadraticAtT(pt1, pt2, pt3, *ts):             # <<<<<<<<<<<<<<
 *     """Split a quadratic Bezier curve at one or more values of t.
 * 
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitQuadraticAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_a);
  __Pyx_XDECREF(__pyx_v_b);
  __Pyx_XDECREF(__pyx_v_c);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":613
 * 
 * 
 * def splitCubicAtT(pt1, pt2, pt3, pt4, *ts):             # <<<<<<<<<<<<<<
 *     """Split a cubic Bezier curve at one or more values of t.
 * 
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_33splitCubicAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_32splitCubicAtT, "splitCubicAtT(pt1, pt2, pt3, pt4, *ts)\n\nSplit a cubic Bezier curve at one or more values of t.\n\nArgs:\n    pt1,pt2,pt3,pt4: Control points of the Bezier as 2D tuples.\n    *ts: Positions at which to split the curve.\n\nReturns:\n    A list of curve segments (each curve segment being four 2D tuples).\n\nExamples::\n\n    >>> printSegments(splitCubicAtT((0, 0), (25, 100), (75, 100), (100, 0), 0.5))\n    ((0, 0), (12.5, 50), (31.25, 75), (50, 75))\n    ((50, 75), (68.75, 75), (87.5, 50), (100, 0))\n    >>> printSegments(splitCubicAtT((0, 0), (25, 100), (75, 100), (100, 0), 0.5, 0.75))\n    ((0, 0), (12.5, 50), (31.25, 75), (50, 75))\n    ((50, 75), (59.375, 75), (68.75, 68.75), (77.3438, 56.25))\n    ((77.3438, 56.25), (85.9375, 43.75), (93.75, 25), (100, 0))");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_33splitCubicAtT = {"splitCubicAtT", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_33splitCubicAtT, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_32splitCubicAtT};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_33splitCubicAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  PyObject *__pyx_v_pt4 = 0;
  PyObject *__pyx_v_ts = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("splitCubicAtT (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  __pyx_v_ts = __Pyx_ArgsSlice_FASTCALL(__pyx_args, 4, __pyx_nargs);
  if (unlikely(!__pyx_v_ts)) {
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __Pyx_GOTREF(__pyx_v_ts);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_pt1,&__pyx_mstate_global->__pyx_n_u_pt2,&__pyx_mstate_global->__pyx_n_u_pt3,&__pyx_mstate_global->__pyx_n_u_pt4,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 613, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        default:
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 613, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 613, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 613, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 613, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      const Py_ssize_t used_pos_args = (kwd_pos_args < 4) ? kwd_pos_args : 4;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, used_pos_args, __pyx_kwds_len, "splitCubicAtT", 0) < (0)) __PYX_ERR(0, 613, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 4; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("splitCubicAtT", 0, 4, 4, i); __PYX_ERR(0, 613, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs < 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 613, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 613, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 613, __pyx_L3_error)
      values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 613, __pyx_L3_error)
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
    __pyx_v_pt4 = values[3];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("splitCubicAtT", 0, 4, 4, __pyx_nargs); __PYX_ERR(0, 613, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_DECREF(__pyx_v_ts); __pyx_v_ts = 0;
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitCubicAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_32splitCubicAtT(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4, __pyx_v_ts);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_DECREF(__pyx_v_ts);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_32splitCubicAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4, PyObject *__pyx_v_ts) {
  PyObject *__pyx_v_a = NULL;
  PyObject *__pyx_v_b = NULL;
  PyObject *__pyx_v_c = NULL;
  PyObject *__pyx_v_d = NULL;
  PyObject *__pyx_v_split = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  size_t __pyx_t_4;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  PyObject *(*__pyx_t_8)(PyObject *);
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("splitCubicAtT", 0);

  /* "fontTools/misc/bezierTools.py":633
 *         ((77.3438, 56.25), (85.9375, 43.75), (93.75, 25), (100, 0))
 *     """
 *     a, b, c, d = calcCubicParameters(pt1, pt2, pt3, pt4)             # <<<<<<<<<<<<<<
 *     split = _splitCubicAtT(a, b, c, d, *ts)
 * 
*/
  __pyx_t_2 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_calcCubicParameters); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 633, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    assert(__pyx_t_2);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
    __pyx_t_4 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[5] = {__pyx_t_2, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_4, (5-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 633, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  if ((likely(PyTuple_CheckExact(__pyx_t_1))) || (PyList_CheckExact(__pyx_t_1))) {
    PyObject* sequence = __pyx_t_1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 4)) {
      if (size > 4) __Pyx_RaiseTooManyValuesError(4);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 633, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_3 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_3);
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_2);
      __pyx_t_5 = PyTuple_GET_ITEM(sequence, 2);
      __Pyx_INCREF(__pyx_t_5);
      __pyx_t_6 = PyTuple_GET_ITEM(sequence, 3);
      __Pyx_INCREF(__pyx_t_6);
    } else {
      __pyx_t_3 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 633, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_3);
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 633, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
      __pyx_t_5 = __Pyx_PyList_GetItemRefFast(sequence, 2, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 633, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_5);
      __pyx_t_6 = __Pyx_PyList_GetItemRefFast(sequence, 3, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 633, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_6);
    }
    #else
    {
      Py_ssize_t i;
      PyObject** temps[4] = {&__pyx_t_3,&__pyx_t_2,&__pyx_t_5,&__pyx_t_6};
      for (i=0; i < 4; i++) {
        PyObject* item = __Pyx_PySequence_ITEM(sequence, i); if (unlikely(!item)) __PYX_ERR(0, 633, __pyx_L1_error)
        __Pyx_GOTREF(item);
        *(temps[i]) = item;
      }
    }
    #endif
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  } else {
    Py_ssize_t index = -1;
    PyObject** temps[4] = {&__pyx_t_3,&__pyx_t_2,&__pyx_t_5,&__pyx_t_6};
    __pyx_t_7 = PyObject_GetIter(__pyx_t_1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 633, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_8 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_7);
    for (index=0; index < 4; index++) {
      PyObject* item = __pyx_t_8(__pyx_t_7); if (unlikely(!item)) goto __pyx_L3_unpacking_failed;
      __Pyx_GOTREF(item);
      *(temps[index]) = item;
    }
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_7), 4) < (0)) __PYX_ERR(0, 633, __pyx_L1_error)
    __pyx_t_8 = NULL;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __pyx_t_8 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 633, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_a = __pyx_t_3;
  __pyx_t_3 = 0;
  __pyx_v_b = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_c = __pyx_t_5;
  __pyx_t_5 = 0;
  __pyx_v_d = __pyx_t_6;
  __pyx_t_6 = 0;

  /* "fontTools/misc/bezierTools.py":634
 *     """
 *     a, b, c, d = calcCubicParameters(pt1, pt2, pt3, pt4)
 *     split = _splitCubicAtT(a, b, c, d, *ts)             # <<<<<<<<<<<<<<
 * 
 *     # the split impl can introduce floating point errors; we know the first
*/
  __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_mstate_global->__pyx_n_u_splitCubicAtT); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 634, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_6 = PyTuple_New(4); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 634, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_INCREF(__pyx_v_a);
  __Pyx_GIVEREF(__pyx_v_a);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_v_a) != (0)) __PYX_ERR(0, 634, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_b);
  __Pyx_GIVEREF(__pyx_v_b);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_v_b) != (0)) __PYX_ERR(0, 634, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_c);
  __Pyx_GIVEREF(__pyx_v_c);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 2, __pyx_v_c) != (0)) __PYX_ERR(0, 634, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_d);
  __Pyx_GIVEREF(__pyx_v_d);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 3, __pyx_v_d) != (0)) __PYX_ERR(0, 634, __pyx_L1_error);
  __pyx_t_5 = PyNumber_Add(__pyx_t_6, __pyx_v_ts); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 634, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_t_6 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_t_5, NULL); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 634, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_v_split = __pyx_t_6;
  __pyx_t_6 = 0;

  /* "fontTools/misc/bezierTools.py":639
 *     # segment should always start at pt1 and the last segment should end at pt4,
 *     # so we set those values directly before returning.
 *     split[0] = (pt1, *split[0][1:])             # <<<<<<<<<<<<<<
 *     split[-1] = (*split[-1][:-1], pt4)
 *     return split
*/
  __pyx_t_5 = PyList_New(1); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 639, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_INCREF(__pyx_v_pt1);
  __Pyx_GIVEREF(__pyx_v_pt1);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_5, 0, __pyx_v_pt1) != (0)) __PYX_ERR(0, 639, __pyx_L1_error);
  __pyx_t_6 = __pyx_t_5;
  __pyx_t_5 = 0;
  __pyx_t_5 = __Pyx_GetItemInt(__pyx_v_split, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_OwnStrongReference); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 639, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_1 = __Pyx_PyObject_GetSlice(__pyx_t_5, 1, 0, NULL, NULL, &__pyx_mstate_global->__pyx_slice[0], 1, 0, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 639, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  if (__Pyx_PyList_Extend(__pyx_t_6, __pyx_t_1) < (0)) __PYX_ERR(0, 639, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  {
    PyObject *__pyx_temp = PyList_AsTuple(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_6);
    __pyx_t_6 = __pyx_temp; if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 639, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
  }
  if (unlikely((__Pyx_SetItemInt(__pyx_v_split, 0, __pyx_t_6, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_OwnStrongReference) < 0))) __PYX_ERR(0, 639, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;

  /* "fontTools/misc/bezierTools.py":640
 *     # so we set those values directly before returning.
 *     split[0] = (pt1, *split[0][1:])
 *     split[-1] = (*split[-1][:-1], pt4)             # <<<<<<<<<<<<<<
 *     return split
 * 
*/
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_split, -1L, long, 1, __Pyx_PyLong_From_long, 0, 1, 1, 1, __Pyx_ReferenceSharing_OwnStrongReference); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 640, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_5 = __Pyx_PyObject_GetSlice(__pyx_t_1, 0, -1L, NULL, NULL, &__pyx_mstate_global->__pyx_slice[1], 0, 1, 1); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 640, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_6 = __Pyx_PySequence_ListKeepNew(__pyx_t_5); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 640, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  if (__Pyx_ListComp_Append(__pyx_t_6, __pyx_v_pt4) < (0)) __PYX_ERR(0, 640, __pyx_L1_error)
  {
    PyObject *__pyx_temp = PyList_AsTuple(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_6);
    __pyx_t_6 = __pyx_temp; if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 640, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
  }
  if (unlikely((__Pyx_SetItemInt(__pyx_v_split, -1L, __pyx_t_6, long, 1, __Pyx_PyLong_From_long, 0, 1, 1, 1, __Pyx_ReferenceSharing_OwnStrongReference) < 0))) __PYX_ERR(0, 640, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;

  /* "fontTools/misc/bezierTools.py":641
 *     split[0] = (pt1, *split[0][1:])
 *     split[-1] = (*split[-1][:-1], pt4)
 *     return split             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __Pyx_INCREF(__pyx_v_split);
  __pyx_r = __pyx_v_split;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":613
 * 
 * 
 * def splitCubicAtT(pt1, pt2, pt3, pt4, *ts):             # <<<<<<<<<<<<<<
 *     """Split a cubic Bezier curve at one or more values of t.
 * 
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitCubicAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_a);
  __Pyx_XDECREF(__pyx_v_b);
  __Pyx_XDECREF(__pyx_v_c);
  __Pyx_XDECREF(__pyx_v_d);
  __Pyx_XDECREF(__pyx_v_split);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}
static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_36generator(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value); /* proto */

/* "fontTools/misc/bezierTools.py":644
 * 
 * 
 * @cython.locals(             # <<<<<<<<<<<<<<
 *     pt1=cython.complex,
 *     pt2=cython.complex,
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_35splitCubicAtTC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_34splitCubicAtTC, "splitCubicAtTC(double complex pt1, double complex pt2, double complex pt3, double complex pt4, *ts)\n\nSplit a cubic Bezier curve at one or more values of t.\n\nArgs:\n    pt1,pt2,pt3,pt4: Control points of the Bezier as complex numbers..\n    *ts: Positions at which to split the curve.\n\nYields:\n    Curve segments (each curve segment being four complex numbers).");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_35splitCubicAtTC = {"splitCubicAtTC", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_35splitCubicAtTC, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_34splitCubicAtTC};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_35splitCubicAtTC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  __pyx_t_double_complex __pyx_v_pt1;
  __pyx_t_double_complex __pyx_v_pt2;
  __pyx_t_double_complex __pyx_v_pt3;
  __pyx_t_double_complex __pyx_v_pt4;
  PyObject *__pyx_v_ts = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("splitCubicAtTC (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  __pyx_v_ts = __Pyx_ArgsSlice_FASTCALL(__pyx_args, 4, __pyx_nargs);
  if (unlikely(!__pyx_v_ts)) {
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __Pyx_GOTREF(__pyx_v_ts);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_pt1,&__pyx_mstate_global->__pyx_n_u_pt2,&__pyx_mstate_global->__pyx_n_u_pt3,&__pyx_mstate_global->__pyx_n_u_pt4,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 644, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        default:
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 644, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 644, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 644, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 644, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      const Py_ssize_t used_pos_args = (kwd_pos_args < 4) ? kwd_pos_args : 4;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, used_pos_args, __pyx_kwds_len, "splitCubicAtTC", 0) < (0)) __PYX_ERR(0, 644, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 4; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("splitCubicAtTC", 0, 4, 4, i); __PYX_ERR(0, 644, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs < 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 644, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 644, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 644, __pyx_L3_error)
      values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 644, __pyx_L3_error)
    }
    __pyx_v_pt1 = __Pyx_PyComplex_As___pyx_t_double_complex(values[0]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 654, __pyx_L3_error)
    __pyx_v_pt2 = __Pyx_PyComplex_As___pyx_t_double_complex(values[1]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 654, __pyx_L3_error)
    __pyx_v_pt3 = __Pyx_PyComplex_As___pyx_t_double_complex(values[2]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 654, __pyx_L3_error)
    __pyx_v_pt4 = __Pyx_PyComplex_As___pyx_t_double_complex(values[3]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 654, __pyx_L3_error)
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("splitCubicAtTC", 0, 4, 4, __pyx_nargs); __PYX_ERR(0, 644, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_CLEAR(__pyx_v_ts);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitCubicAtTC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_34splitCubicAtTC(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4, __pyx_v_ts);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_DECREF(__pyx_v_ts);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_34splitCubicAtTC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4, PyObject *__pyx_v_ts) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC *__pyx_cur_scope;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("splitCubicAtTC", 0);
  __pyx_cur_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC(__pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC, __pyx_mstate_global->__pyx_empty_tuple, NULL);
  if (unlikely(!__pyx_cur_scope)) {
    __pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC *)Py_None);
    __Pyx_INCREF(Py_None);
    __PYX_ERR(0, 644, __pyx_L1_error)
  } else {
    __Pyx_GOTREF((PyObject *)__pyx_cur_scope);
  }
  __pyx_cur_scope->__pyx_v_pt1 = __pyx_v_pt1;
  __pyx_cur_scope->__pyx_v_pt2 = __pyx_v_pt2;
  __pyx_cur_scope->__pyx_v_pt3 = __pyx_v_pt3;
  __pyx_cur_scope->__pyx_v_pt4 = __pyx_v_pt4;
  __pyx_cur_scope->__pyx_v_ts = __pyx_v_ts;
  __Pyx_INCREF(__pyx_cur_scope->__pyx_v_ts);
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_v_ts);
  {
    __pyx_CoroutineObject *gen = __Pyx_Generator_New((__pyx_coroutine_body_t) __pyx_gb_9fontTools_4misc_11bezierTools_36generator, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[2]), (PyObject *) __pyx_cur_scope, __pyx_mstate_global->__pyx_n_u_splitCubicAtTC, __pyx_mstate_global->__pyx_n_u_splitCubicAtTC, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools); if (unlikely(!gen)) __PYX_ERR(0, 644, __pyx_L1_error)
    __Pyx_DECREF(__pyx_cur_scope);
    __Pyx_RefNannyFinishContext();
    return (PyObject *) gen;
  }

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitCubicAtTC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __Pyx_DECREF((PyObject *)__pyx_cur_scope);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_36generator(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value) /* generator body */
{
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC *__pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC *)__pyx_generator->closure);
  PyObject *__pyx_r = NULL;
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *(*__pyx_t_7)(PyObject *);
  __pyx_t_double_complex __pyx_t_8;
  __pyx_t_double_complex __pyx_t_9;
  __pyx_t_double_complex __pyx_t_10;
  __pyx_t_double_complex __pyx_t_11;
  __Pyx_PySendResult __pyx_t_12;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("splitCubicAtTC", 0);
  switch (__pyx_generator->resume_label) {
    case 0: goto __pyx_L3_first_run;
    case 1: goto __pyx_L6_resume_from_yield_from;
    default: /* CPython raises the right error here */
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __pyx_L3_first_run:;
  if (unlikely(__pyx_sent_value != Py_None)) {
    if (unlikely(__pyx_sent_value)) PyErr_SetString(PyExc_TypeError, "can't send non-None value to a just-started generator");
    __PYX_ERR(0, 644, __pyx_L1_error)
  }

  /* "fontTools/misc/bezierTools.py":664
 *         Curve segments (each curve segment being four complex numbers).
 *     """
 *     a, b, c, d = calcCubicParametersC(pt1, pt2, pt3, pt4)             # <<<<<<<<<<<<<<
 *     yield from _splitCubicAtTC(a, b, c, d, *ts)
 * 
*/
  __pyx_t_1 = __pyx_f_9fontTools_4misc_11bezierTools_calcCubicParametersC(__pyx_cur_scope->__pyx_v_pt1, __pyx_cur_scope->__pyx_v_pt2, __pyx_cur_scope->__pyx_v_pt3, __pyx_cur_scope->__pyx_v_pt4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 664, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if ((likely(PyTuple_CheckExact(__pyx_t_1))) || (PyList_CheckExact(__pyx_t_1))) {
    PyObject* sequence = __pyx_t_1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 4)) {
      if (size > 4) __Pyx_RaiseTooManyValuesError(4);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 664, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_2);
      __pyx_t_3 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_3);
      __pyx_t_4 = PyTuple_GET_ITEM(sequence, 2);
      __Pyx_INCREF(__pyx_t_4);
      __pyx_t_5 = PyTuple_GET_ITEM(sequence, 3);
      __Pyx_INCREF(__pyx_t_5);
    } else {
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 664, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
      __pyx_t_3 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 664, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_3);
      __pyx_t_4 = __Pyx_PyList_GetItemRefFast(sequence, 2, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 664, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_4);
      __pyx_t_5 = __Pyx_PyList_GetItemRefFast(sequence, 3, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 664, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_5);
    }
    #else
    {
      Py_ssize_t i;
      PyObject** temps[4] = {&__pyx_t_2,&__pyx_t_3,&__pyx_t_4,&__pyx_t_5};
      for (i=0; i < 4; i++) {
        PyObject* item = __Pyx_PySequence_ITEM(sequence, i); if (unlikely(!item)) __PYX_ERR(0, 664, __pyx_L1_error)
        __Pyx_GOTREF(item);
        *(temps[i]) = item;
      }
    }
    #endif
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  } else {
    Py_ssize_t index = -1;
    PyObject** temps[4] = {&__pyx_t_2,&__pyx_t_3,&__pyx_t_4,&__pyx_t_5};
    __pyx_t_6 = PyObject_GetIter(__pyx_t_1); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 664, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_7 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_6);
    for (index=0; index < 4; index++) {
      PyObject* item = __pyx_t_7(__pyx_t_6); if (unlikely(!item)) goto __pyx_L4_unpacking_failed;
      __Pyx_GOTREF(item);
      *(temps[index]) = item;
    }
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_7(__pyx_t_6), 4) < (0)) __PYX_ERR(0, 664, __pyx_L1_error)
    __pyx_t_7 = NULL;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    goto __pyx_L5_unpacking_done;
    __pyx_L4_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_7 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 664, __pyx_L1_error)
    __pyx_L5_unpacking_done:;
  }
  __pyx_t_8 = __Pyx_PyComplex_As___pyx_t_double_complex(__pyx_t_2); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 664, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_9 = __Pyx_PyComplex_As___pyx_t_double_complex(__pyx_t_3); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 664, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_10 = __Pyx_PyComplex_As___pyx_t_double_complex(__pyx_t_4); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 664, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_11 = __Pyx_PyComplex_As___pyx_t_double_complex(__pyx_t_5); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 664, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_cur_scope->__pyx_v_a = __pyx_t_8;
  __pyx_cur_scope->__pyx_v_b = __pyx_t_9;
  __pyx_cur_scope->__pyx_v_c = __pyx_t_10;
  __pyx_cur_scope->__pyx_v_d = __pyx_t_11;

  /* "fontTools/misc/bezierTools.py":665
 *     """
 *     a, b, c, d = calcCubicParametersC(pt1, pt2, pt3, pt4)
 *     yield from _splitCubicAtTC(a, b, c, d, *ts)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_mstate_global->__pyx_n_u_splitCubicAtTC_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 665, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_5 = __pyx_PyComplex_FromComplex(__pyx_cur_scope->__pyx_v_a); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 665, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_4 = __pyx_PyComplex_FromComplex(__pyx_cur_scope->__pyx_v_b); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 665, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_3 = __pyx_PyComplex_FromComplex(__pyx_cur_scope->__pyx_v_c); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 665, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = __pyx_PyComplex_FromComplex(__pyx_cur_scope->__pyx_v_d); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 665, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_6 = PyTuple_New(4); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 665, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_GIVEREF(__pyx_t_5);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_t_5) != (0)) __PYX_ERR(0, 665, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_4);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_t_4) != (0)) __PYX_ERR(0, 665, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 2, __pyx_t_3) != (0)) __PYX_ERR(0, 665, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 3, __pyx_t_2) != (0)) __PYX_ERR(0, 665, __pyx_L1_error);
  __pyx_t_5 = 0;
  __pyx_t_4 = 0;
  __pyx_t_3 = 0;
  __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Add(__pyx_t_6, __pyx_cur_scope->__pyx_v_ts); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 665, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_t_6 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_t_2, NULL); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 665, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_12 = __Pyx_Generator_Yield_From(__pyx_generator, __pyx_t_6, &__pyx_r);
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  if (likely(__pyx_t_12 == PYGEN_NEXT)) {
    __Pyx_GOTREF(__pyx_r);
    __Pyx_XGIVEREF(__pyx_r);
    __Pyx_RefNannyFinishContext();
    __Pyx_Coroutine_ResetAndClearException(__pyx_generator);
    /* return from generator, yielding value */
    __pyx_generator->resume_label = 1;
    return __pyx_r;
    __pyx_L6_resume_from_yield_from:;
    if (unlikely(!__pyx_sent_value)) __PYX_ERR(0, 665, __pyx_L1_error)
  } else if (likely(__pyx_t_12 == PYGEN_RETURN)) {
    __Pyx_GOTREF(__pyx_r);
    __Pyx_DECREF(__pyx_r); __pyx_r = 0;
  } else {
    __Pyx_XGOTREF(__pyx_r);
    __PYX_ERR(0, 665, __pyx_L1_error)
  }
  CYTHON_MAYBE_UNUSED_VAR(__pyx_cur_scope);

  /* "fontTools/misc/bezierTools.py":644
 * 
 * 
 * @cython.locals(             # <<<<<<<<<<<<<<
 *     pt1=cython.complex,
 *     pt2=cython.complex,
*/

  /* function exit code */
  __pyx_r = Py_None; __Pyx_INCREF(Py_None);
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  if (__Pyx_PyErr_Occurred()) {
    __Pyx_Generator_Replace_StopIteration(0);
    __Pyx_AddTraceback("splitCubicAtTC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  }
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  #if !CYTHON_USE_EXC_INFO_STACK
  __Pyx_Coroutine_ResetAndClearException(__pyx_generator);
  #endif
  __pyx_generator->resume_label = -1;
  __Pyx_Coroutine_clear((PyObject*)__pyx_generator);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":668
 * 
 * 
 * @cython.returns(cython.complex)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     t=cython.double,
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_38splitCubicIntoTwoAtTC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_37splitCubicIntoTwoAtTC, "splitCubicIntoTwoAtTC(double complex pt1, double complex pt2, double complex pt3, double complex pt4, double t)\n\nSplit a cubic Bezier curve at t.\n\nArgs:\n    pt1,pt2,pt3,pt4: Control points of the Bezier as complex numbers.\n    t: Position at which to split the curve.\n\nReturns:\n    A tuple of two curve segments (each curve segment being four complex numbers).");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_38splitCubicIntoTwoAtTC = {"splitCubicIntoTwoAtTC", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_38splitCubicIntoTwoAtTC, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_37splitCubicIntoTwoAtTC};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_38splitCubicIntoTwoAtTC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  __pyx_t_double_complex __pyx_v_pt1;
  __pyx_t_double_complex __pyx_v_pt2;
  __pyx_t_double_complex __pyx_v_pt3;
  __pyx_t_double_complex __pyx_v_pt4;
  double __pyx_v_t;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[5] = {0,0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("splitCubicIntoTwoAtTC (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_pt1,&__pyx_mstate_global->__pyx_n_u_pt2,&__pyx_mstate_global->__pyx_n_u_pt3,&__pyx_mstate_global->__pyx_n_u_pt4,&__pyx_mstate_global->__pyx_n_u_t,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 668, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  5:
        values[4] = __Pyx_ArgRef_FASTCALL(__pyx_args, 4);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[4])) __PYX_ERR(0, 668, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 668, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 668, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 668, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 668, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "splitCubicIntoTwoAtTC", 0) < (0)) __PYX_ERR(0, 668, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 5; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("splitCubicIntoTwoAtTC", 1, 5, 5, i); __PYX_ERR(0, 668, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 5)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 668, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 668, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 668, __pyx_L3_error)
      values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 668, __pyx_L3_error)
      values[4] = __Pyx_ArgRef_FASTCALL(__pyx_args, 4);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[4])) __PYX_ERR(0, 668, __pyx_L3_error)
    }
    __pyx_v_pt1 = __Pyx_PyComplex_As___pyx_t_double_complex(values[0]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 682, __pyx_L3_error)
    __pyx_v_pt2 = __Pyx_PyComplex_As___pyx_t_double_complex(values[1]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 682, __pyx_L3_error)
    __pyx_v_pt3 = __Pyx_PyComplex_As___pyx_t_double_complex(values[2]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 682, __pyx_L3_error)
    __pyx_v_pt4 = __Pyx_PyComplex_As___pyx_t_double_complex(values[3]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 682, __pyx_L3_error)
    __pyx_v_t = __Pyx_PyFloat_AsDouble(values[4]); if (unlikely((__pyx_v_t == (double)-1) && PyErr_Occurred())) __PYX_ERR(0, 682, __pyx_L3_error)
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("splitCubicIntoTwoAtTC", 1, 5, 5, __pyx_nargs); __PYX_ERR(0, 668, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitCubicIntoTwoAtTC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_37splitCubicIntoTwoAtTC(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4, __pyx_v_t);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_37splitCubicIntoTwoAtTC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4, double __pyx_v_t) {
  double __pyx_v_t2;
  double __pyx_v__1_t;
  double __pyx_v__1_t_2;
  double __pyx_v__2_t_1_t;
  __pyx_t_double_complex __pyx_v_pointAtT;
  __pyx_t_double_complex __pyx_v_off1;
  __pyx_t_double_complex __pyx_v_off2;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("splitCubicIntoTwoAtTC", 0);

  /* "fontTools/misc/bezierTools.py":692
 *         A tuple of two curve segments (each curve segment being four complex numbers).
 *     """
 *     t2 = t * t             # <<<<<<<<<<<<<<
 *     _1_t = 1 - t
 *     _1_t_2 = _1_t * _1_t
*/
  __pyx_v_t2 = (__pyx_v_t * __pyx_v_t);

  /* "fontTools/misc/bezierTools.py":693
 *     """
 *     t2 = t * t
 *     _1_t = 1 - t             # <<<<<<<<<<<<<<
 *     _1_t_2 = _1_t * _1_t
 *     _2_t_1_t = 2 * t * _1_t
*/
  __pyx_v__1_t = (1.0 - __pyx_v_t);

  /* "fontTools/misc/bezierTools.py":694
 *     t2 = t * t
 *     _1_t = 1 - t
 *     _1_t_2 = _1_t * _1_t             # <<<<<<<<<<<<<<
 *     _2_t_1_t = 2 * t * _1_t
 *     pointAtT = (
*/
  __pyx_v__1_t_2 = (__pyx_v__1_t * __pyx_v__1_t);

  /* "fontTools/misc/bezierTools.py":695
 *     _1_t = 1 - t
 *     _1_t_2 = _1_t * _1_t
 *     _2_t_1_t = 2 * t * _1_t             # <<<<<<<<<<<<<<
 *     pointAtT = (
 *         _1_t_2 * _1_t * pt1 + 3 * (_1_t_2 * t * pt2 + _1_t * t2 * pt3) + t2 * t * pt4
*/
  __pyx_v__2_t_1_t = ((2.0 * __pyx_v_t) * __pyx_v__1_t);

  /* "fontTools/misc/bezierTools.py":697
 *     _2_t_1_t = 2 * t * _1_t
 *     pointAtT = (
 *         _1_t_2 * _1_t * pt1 + 3 * (_1_t_2 * t * pt2 + _1_t * t2 * pt3) + t2 * t * pt4             # <<<<<<<<<<<<<<
 *     )
 *     off1 = _1_t_2 * pt1 + _2_t_1_t * pt2 + t2 * pt3
*/
  __pyx_v_pointAtT = __Pyx_c_sum_double(__Pyx_c_sum_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts((__pyx_v__1_t_2 * __pyx_v__1_t), 0), __pyx_v_pt1), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(3, 0), __Pyx_c_sum_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts((__pyx_v__1_t_2 * __pyx_v_t), 0), __pyx_v_pt2), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts((__pyx_v__1_t * __pyx_v_t2), 0), __pyx_v_pt3)))), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts((__pyx_v_t2 * __pyx_v_t), 0), __pyx_v_pt4));

  /* "fontTools/misc/bezierTools.py":699
 *         _1_t_2 * _1_t * pt1 + 3 * (_1_t_2 * t * pt2 + _1_t * t2 * pt3) + t2 * t * pt4
 *     )
 *     off1 = _1_t_2 * pt1 + _2_t_1_t * pt2 + t2 * pt3             # <<<<<<<<<<<<<<
 *     off2 = _1_t_2 * pt2 + _2_t_1_t * pt3 + t2 * pt4
 * 
*/
  __pyx_v_off1 = __Pyx_c_sum_double(__Pyx_c_sum_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts(__pyx_v__1_t_2, 0), __pyx_v_pt1), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(__pyx_v__2_t_1_t, 0), __pyx_v_pt2)), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(__pyx_v_t2, 0), __pyx_v_pt3));

  /* "fontTools/misc/bezierTools.py":700
 *     )
 *     off1 = _1_t_2 * pt1 + _2_t_1_t * pt2 + t2 * pt3
 *     off2 = _1_t_2 * pt2 + _2_t_1_t * pt3 + t2 * pt4             # <<<<<<<<<<<<<<
 * 
 *     pt2 = pt1 + (pt2 - pt1) * t
*/
  __pyx_v_off2 = __Pyx_c_sum_double(__Pyx_c_sum_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts(__pyx_v__1_t_2, 0), __pyx_v_pt2), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(__pyx_v__2_t_1_t, 0), __pyx_v_pt3)), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(__pyx_v_t2, 0), __pyx_v_pt4));

  /* "fontTools/misc/bezierTools.py":702
 *     off2 = _1_t_2 * pt2 + _2_t_1_t * pt3 + t2 * pt4
 * 
 *     pt2 = pt1 + (pt2 - pt1) * t             # <<<<<<<<<<<<<<
 *     pt3 = pt4 + (pt3 - pt4) * _1_t
 * 
*/
  __pyx_v_pt2 = __Pyx_c_sum_double(__pyx_v_pt1, __Pyx_c_prod_double(__Pyx_c_diff_double(__pyx_v_pt2, __pyx_v_pt1), __pyx_t_double_complex_from_parts(__pyx_v_t, 0)));

  /* "fontTools/misc/bezierTools.py":703
 * 
 *     pt2 = pt1 + (pt2 - pt1) * t
 *     pt3 = pt4 + (pt3 - pt4) * _1_t             # <<<<<<<<<<<<<<
 * 
 *     return ((pt1, pt2, off1, pointAtT), (pointAtT, off2, pt3, pt4))
*/
  __pyx_v_pt3 = __Pyx_c_sum_double(__pyx_v_pt4, __Pyx_c_prod_double(__Pyx_c_diff_double(__pyx_v_pt3, __pyx_v_pt4), __pyx_t_double_complex_from_parts(__pyx_v__1_t, 0)));

  /* "fontTools/misc/bezierTools.py":705
 *     pt3 = pt4 + (pt3 - pt4) * _1_t
 * 
 *     return ((pt1, pt2, off1, pointAtT), (pointAtT, off2, pt3, pt4))             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = __pyx_PyComplex_FromComplex(__pyx_v_pt1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 705, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __pyx_PyComplex_FromComplex(__pyx_v_pt2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 705, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __pyx_PyComplex_FromComplex(__pyx_v_off1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 705, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = __pyx_PyComplex_FromComplex(__pyx_v_pointAtT); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 705, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_5 = PyTuple_New(4); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 705, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_1) != (0)) __PYX_ERR(0, 705, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_t_2) != (0)) __PYX_ERR(0, 705, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 2, __pyx_t_3) != (0)) __PYX_ERR(0, 705, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_4);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 3, __pyx_t_4) != (0)) __PYX_ERR(0, 705, __pyx_L1_error);
  __pyx_t_1 = 0;
  __pyx_t_2 = 0;
  __pyx_t_3 = 0;
  __pyx_t_4 = 0;
  __pyx_t_4 = __pyx_PyComplex_FromComplex(__pyx_v_pointAtT); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 705, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_3 = __pyx_PyComplex_FromComplex(__pyx_v_off2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 705, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = __pyx_PyComplex_FromComplex(__pyx_v_pt3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 705, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = __pyx_PyComplex_FromComplex(__pyx_v_pt4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 705, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_6 = PyTuple_New(4); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 705, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_GIVEREF(__pyx_t_4);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_t_4) != (0)) __PYX_ERR(0, 705, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_t_3) != (0)) __PYX_ERR(0, 705, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 2, __pyx_t_2) != (0)) __PYX_ERR(0, 705, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 3, __pyx_t_1) != (0)) __PYX_ERR(0, 705, __pyx_L1_error);
  __pyx_t_4 = 0;
  __pyx_t_3 = 0;
  __pyx_t_2 = 0;
  __pyx_t_1 = 0;
  __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 705, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_GIVEREF(__pyx_t_5);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_t_5) != (0)) __PYX_ERR(0, 705, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_6);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_t_6) != (0)) __PYX_ERR(0, 705, __pyx_L1_error);
  __pyx_t_5 = 0;
  __pyx_t_6 = 0;
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":668
 * 
 * 
 * @cython.returns(cython.complex)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     t=cython.double,
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitCubicIntoTwoAtTC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":708
 * 
 * 
 * def _splitQuadraticAtT(a, b, c, *ts):             # <<<<<<<<<<<<<<
 *     ts = list(ts)
 *     segments = []
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_40_splitQuadraticAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_39_splitQuadraticAtT, "_splitQuadraticAtT(a, b, c, *ts)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_40_splitQuadraticAtT = {"_splitQuadraticAtT", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_40_splitQuadraticAtT, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_39_splitQuadraticAtT};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_40_splitQuadraticAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_a = 0;
  PyObject *__pyx_v_b = 0;
  PyObject *__pyx_v_c = 0;
  PyObject *__pyx_v_ts = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[3] = {0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_splitQuadraticAtT (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  __pyx_v_ts = __Pyx_ArgsSlice_FASTCALL(__pyx_args, 3, __pyx_nargs);
  if (unlikely(!__pyx_v_ts)) {
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __Pyx_GOTREF(__pyx_v_ts);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_a,&__pyx_mstate_global->__pyx_n_u_b,&__pyx_mstate_global->__pyx_n_u_c,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 708, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        default:
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 708, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 708, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 708, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      const Py_ssize_t used_pos_args = (kwd_pos_args < 3) ? kwd_pos_args : 3;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, used_pos_args, __pyx_kwds_len, "_splitQuadraticAtT", 0) < (0)) __PYX_ERR(0, 708, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 3; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("_splitQuadraticAtT", 0, 3, 3, i); __PYX_ERR(0, 708, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs < 3)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 708, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 708, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 708, __pyx_L3_error)
    }
    __pyx_v_a = values[0];
    __pyx_v_b = values[1];
    __pyx_v_c = values[2];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_splitQuadraticAtT", 0, 3, 3, __pyx_nargs); __PYX_ERR(0, 708, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_DECREF(__pyx_v_ts); __pyx_v_ts = 0;
  __Pyx_AddTraceback("fontTools.misc.bezierTools._splitQuadraticAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_39_splitQuadraticAtT(__pyx_self, __pyx_v_a, __pyx_v_b, __pyx_v_c, __pyx_v_ts);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_DECREF(__pyx_v_ts);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_39_splitQuadraticAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_ts) {
  PyObject *__pyx_v_segments = NULL;
  PyObject *__pyx_v_ax = NULL;
  PyObject *__pyx_v_ay = NULL;
  PyObject *__pyx_v_bx = NULL;
  PyObject *__pyx_v_by = NULL;
  PyObject *__pyx_v_cx = NULL;
  PyObject *__pyx_v_cy = NULL;
  PyObject *__pyx_v_i = NULL;
  PyObject *__pyx_v_t1 = NULL;
  PyObject *__pyx_v_t2 = NULL;
  PyObject *__pyx_v_delta = NULL;
  PyObject *__pyx_v_delta_2 = NULL;
  PyObject *__pyx_v_a1x = NULL;
  PyObject *__pyx_v_a1y = NULL;
  PyObject *__pyx_v_b1x = NULL;
  PyObject *__pyx_v_b1y = NULL;
  PyObject *__pyx_v_t1_2 = NULL;
  PyObject *__pyx_v_c1x = NULL;
  PyObject *__pyx_v_c1y = NULL;
  PyObject *__pyx_v_pt1 = NULL;
  PyObject *__pyx_v_pt2 = NULL;
  PyObject *__pyx_v_pt3 = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  int __pyx_t_3;
  PyObject *__pyx_t_4 = NULL;
  PyObject *(*__pyx_t_5)(PyObject *);
  Py_ssize_t __pyx_t_6;
  size_t __pyx_t_7;
  PyObject *(*__pyx_t_8)(PyObject *);
  PyObject *__pyx_t_9 = NULL;
  PyObject *__pyx_t_10 = NULL;
  PyObject *__pyx_t_11 = NULL;
  PyObject *__pyx_t_12 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_splitQuadraticAtT", 0);
  __Pyx_INCREF(__pyx_v_ts);

  /* "fontTools/misc/bezierTools.py":709
 * 
 * def _splitQuadraticAtT(a, b, c, *ts):
 *     ts = list(ts)             # <<<<<<<<<<<<<<
 *     segments = []
 *     ts.insert(0, 0.0)
*/
  __pyx_t_1 = PySequence_List(__pyx_v_ts); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 709, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF_SET(__pyx_v_ts, __pyx_t_1);
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":710
 * def _splitQuadraticAtT(a, b, c, *ts):
 *     ts = list(ts)
 *     segments = []             # <<<<<<<<<<<<<<
 *     ts.insert(0, 0.0)
 *     ts.append(1.0)
*/
  __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 710, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_segments = ((PyObject*)__pyx_t_1);
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":711
 *     ts = list(ts)
 *     segments = []
 *     ts.insert(0, 0.0)             # <<<<<<<<<<<<<<
 *     ts.append(1.0)
 *     ax, ay = a
*/
  __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_v_ts, __pyx_mstate_global->__pyx_n_u_insert); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 711, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_mstate_global->__pyx_tuple[0], NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 711, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":712
 *     segments = []
 *     ts.insert(0, 0.0)
 *     ts.append(1.0)             # <<<<<<<<<<<<<<
 *     ax, ay = a
 *     bx, by = b
*/
  __pyx_t_3 = __Pyx_PyObject_Append(__pyx_v_ts, __pyx_mstate_global->__pyx_float_1_0); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(0, 712, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":713
 *     ts.insert(0, 0.0)
 *     ts.append(1.0)
 *     ax, ay = a             # <<<<<<<<<<<<<<
 *     bx, by = b
 *     cx, cy = c
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_a))) || (PyList_CheckExact(__pyx_v_a))) {
    PyObject* sequence = __pyx_v_a;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 713, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_2);
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_1);
    } else {
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 713, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 713, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
    }
    #else
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 713, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 713, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_4 = PyObject_GetIter(__pyx_v_a); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 713, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_5 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_4);
    index = 0; __pyx_t_2 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_2)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_1)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_5(__pyx_t_4), 2) < (0)) __PYX_ERR(0, 713, __pyx_L1_error)
    __pyx_t_5 = NULL;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_5 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 713, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_ax = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_ay = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":714
 *     ts.append(1.0)
 *     ax, ay = a
 *     bx, by = b             # <<<<<<<<<<<<<<
 *     cx, cy = c
 *     for i in range(len(ts) - 1):
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_b))) || (PyList_CheckExact(__pyx_v_b))) {
    PyObject* sequence = __pyx_v_b;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 714, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_1);
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_2);
    } else {
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 714, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 714, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
    }
    #else
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 714, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 714, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_4 = PyObject_GetIter(__pyx_v_b); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 714, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_5 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_4);
    index = 0; __pyx_t_1 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_1)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_2)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_5(__pyx_t_4), 2) < (0)) __PYX_ERR(0, 714, __pyx_L1_error)
    __pyx_t_5 = NULL;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    goto __pyx_L6_unpacking_done;
    __pyx_L5_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_5 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 714, __pyx_L1_error)
    __pyx_L6_unpacking_done:;
  }
  __pyx_v_bx = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_by = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":715
 *     ax, ay = a
 *     bx, by = b
 *     cx, cy = c             # <<<<<<<<<<<<<<
 *     for i in range(len(ts) - 1):
 *         t1 = ts[i]
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_c))) || (PyList_CheckExact(__pyx_v_c))) {
    PyObject* sequence = __pyx_v_c;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 715, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_2);
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_1);
    } else {
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 715, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 715, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
    }
    #else
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 715, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 715, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_4 = PyObject_GetIter(__pyx_v_c); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 715, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_5 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_4);
    index = 0; __pyx_t_2 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_2)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_1)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_5(__pyx_t_4), 2) < (0)) __PYX_ERR(0, 715, __pyx_L1_error)
    __pyx_t_5 = NULL;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    goto __pyx_L8_unpacking_done;
    __pyx_L7_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_5 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 715, __pyx_L1_error)
    __pyx_L8_unpacking_done:;
  }
  __pyx_v_cx = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_cy = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":716
 *     bx, by = b
 *     cx, cy = c
 *     for i in range(len(ts) - 1):             # <<<<<<<<<<<<<<
 *         t1 = ts[i]
 *         t2 = ts[i + 1]
*/
  __pyx_t_2 = NULL;
  __pyx_t_6 = PyObject_Length(__pyx_v_ts); if (unlikely(__pyx_t_6 == ((Py_ssize_t)-1))) __PYX_ERR(0, 716, __pyx_L1_error)
  __pyx_t_4 = PyLong_FromSsize_t((__pyx_t_6 - 1)); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 716, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_7 = 1;
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_2, __pyx_t_4};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)(&PyRange_Type), __pyx_callargs+__pyx_t_7, (2-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 716, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_t_4 = PyObject_GetIter(__pyx_t_1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 716, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_8 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_4); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 716, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  for (;;) {
    {
      __pyx_t_1 = __pyx_t_8(__pyx_t_4);
      if (unlikely(!__pyx_t_1)) {
        PyObject* exc_type = PyErr_Occurred();
        if (exc_type) {
          if (unlikely(!__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) __PYX_ERR(0, 716, __pyx_L1_error)
          PyErr_Clear();
        }
        break;
      }
    }
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_XDECREF_SET(__pyx_v_i, __pyx_t_1);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":717
 *     cx, cy = c
 *     for i in range(len(ts) - 1):
 *         t1 = ts[i]             # <<<<<<<<<<<<<<
 *         t2 = ts[i + 1]
 *         delta = t2 - t1
*/
    __pyx_t_1 = __Pyx_PyObject_GetItem(__pyx_v_ts, __pyx_v_i); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 717, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_XDECREF_SET(__pyx_v_t1, __pyx_t_1);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":718
 *     for i in range(len(ts) - 1):
 *         t1 = ts[i]
 *         t2 = ts[i + 1]             # <<<<<<<<<<<<<<
 *         delta = t2 - t1
 *         # calc new a, b and c
*/
    __pyx_t_1 = __Pyx_PyLong_AddObjC(__pyx_v_i, __pyx_mstate_global->__pyx_int_1, 1, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 718, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_PyObject_GetItem(__pyx_v_ts, __pyx_t_1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 718, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_XDECREF_SET(__pyx_v_t2, __pyx_t_2);
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":719
 *         t1 = ts[i]
 *         t2 = ts[i + 1]
 *         delta = t2 - t1             # <<<<<<<<<<<<<<
 *         # calc new a, b and c
 *         delta_2 = delta * delta
*/
    __pyx_t_2 = PyNumber_Subtract(__pyx_v_t2, __pyx_v_t1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 719, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_XDECREF_SET(__pyx_v_delta, __pyx_t_2);
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":721
 *         delta = t2 - t1
 *         # calc new a, b and c
 *         delta_2 = delta * delta             # <<<<<<<<<<<<<<
 *         a1x = ax * delta_2
 *         a1y = ay * delta_2
*/
    __pyx_t_2 = PyNumber_Multiply(__pyx_v_delta, __pyx_v_delta); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 721, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_XDECREF_SET(__pyx_v_delta_2, __pyx_t_2);
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":722
 *         # calc new a, b and c
 *         delta_2 = delta * delta
 *         a1x = ax * delta_2             # <<<<<<<<<<<<<<
 *         a1y = ay * delta_2
 *         b1x = (2 * ax * t1 + bx) * delta
*/
    __pyx_t_2 = PyNumber_Multiply(__pyx_v_ax, __pyx_v_delta_2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 722, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_XDECREF_SET(__pyx_v_a1x, __pyx_t_2);
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":723
 *         delta_2 = delta * delta
 *         a1x = ax * delta_2
 *         a1y = ay * delta_2             # <<<<<<<<<<<<<<
 *         b1x = (2 * ax * t1 + bx) * delta
 *         b1y = (2 * ay * t1 + by) * delta
*/
    __pyx_t_2 = PyNumber_Multiply(__pyx_v_ay, __pyx_v_delta_2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 723, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_XDECREF_SET(__pyx_v_a1y, __pyx_t_2);
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":724
 *         a1x = ax * delta_2
 *         a1y = ay * delta_2
 *         b1x = (2 * ax * t1 + bx) * delta             # <<<<<<<<<<<<<<
 *         b1y = (2 * ay * t1 + by) * delta
 *         t1_2 = t1 * t1
*/
    __pyx_t_2 = __Pyx_PyLong_MultiplyCObj(__pyx_mstate_global->__pyx_int_2, __pyx_v_ax, 2, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 724, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PyNumber_Multiply(__pyx_t_2, __pyx_v_t1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 724, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = PyNumber_Add(__pyx_t_1, __pyx_v_bx); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 724, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = PyNumber_Multiply(__pyx_t_2, __pyx_v_delta); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 724, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_XDECREF_SET(__pyx_v_b1x, __pyx_t_1);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":725
 *         a1y = ay * delta_2
 *         b1x = (2 * ax * t1 + bx) * delta
 *         b1y = (2 * ay * t1 + by) * delta             # <<<<<<<<<<<<<<
 *         t1_2 = t1 * t1
 *         c1x = ax * t1_2 + bx * t1 + cx
*/
    __pyx_t_1 = __Pyx_PyLong_MultiplyCObj(__pyx_mstate_global->__pyx_int_2, __pyx_v_ay, 2, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 725, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PyNumber_Multiply(__pyx_t_1, __pyx_v_t1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 725, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = PyNumber_Add(__pyx_t_2, __pyx_v_by); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 725, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = PyNumber_Multiply(__pyx_t_1, __pyx_v_delta); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 725, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_XDECREF_SET(__pyx_v_b1y, __pyx_t_2);
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":726
 *         b1x = (2 * ax * t1 + bx) * delta
 *         b1y = (2 * ay * t1 + by) * delta
 *         t1_2 = t1 * t1             # <<<<<<<<<<<<<<
 *         c1x = ax * t1_2 + bx * t1 + cx
 *         c1y = ay * t1_2 + by * t1 + cy
*/
    __pyx_t_2 = PyNumber_Multiply(__pyx_v_t1, __pyx_v_t1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 726, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_XDECREF_SET(__pyx_v_t1_2, __pyx_t_2);
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":727
 *         b1y = (2 * ay * t1 + by) * delta
 *         t1_2 = t1 * t1
 *         c1x = ax * t1_2 + bx * t1 + cx             # <<<<<<<<<<<<<<
 *         c1y = ay * t1_2 + by * t1 + cy
 * 
*/
    __pyx_t_2 = PyNumber_Multiply(__pyx_v_ax, __pyx_v_t1_2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 727, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PyNumber_Multiply(__pyx_v_bx, __pyx_v_t1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 727, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_9 = PyNumber_Add(__pyx_t_2, __pyx_t_1); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 727, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = PyNumber_Add(__pyx_t_9, __pyx_v_cx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 727, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    __Pyx_XDECREF_SET(__pyx_v_c1x, __pyx_t_1);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":728
 *         t1_2 = t1 * t1
 *         c1x = ax * t1_2 + bx * t1 + cx
 *         c1y = ay * t1_2 + by * t1 + cy             # <<<<<<<<<<<<<<
 * 
 *         pt1, pt2, pt3 = calcQuadraticPoints((a1x, a1y), (b1x, b1y), (c1x, c1y))
*/
    __pyx_t_1 = PyNumber_Multiply(__pyx_v_ay, __pyx_v_t1_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 728, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_9 = PyNumber_Multiply(__pyx_v_by, __pyx_v_t1); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 728, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __pyx_t_2 = PyNumber_Add(__pyx_t_1, __pyx_t_9); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 728, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    __pyx_t_9 = PyNumber_Add(__pyx_t_2, __pyx_v_cy); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 728, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_XDECREF_SET(__pyx_v_c1y, __pyx_t_9);
    __pyx_t_9 = 0;

    /* "fontTools/misc/bezierTools.py":730
 *         c1y = ay * t1_2 + by * t1 + cy
 * 
 *         pt1, pt2, pt3 = calcQuadraticPoints((a1x, a1y), (b1x, b1y), (c1x, c1y))             # <<<<<<<<<<<<<<
 *         segments.append((pt1, pt2, pt3))
 *     return segments
*/
    __pyx_t_2 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_mstate_global->__pyx_n_u_calcQuadraticPoints); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 730, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_10 = PyTuple_New(2); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 730, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_10);
    __Pyx_INCREF(__pyx_v_a1x);
    __Pyx_GIVEREF(__pyx_v_a1x);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_10, 0, __pyx_v_a1x) != (0)) __PYX_ERR(0, 730, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_a1y);
    __Pyx_GIVEREF(__pyx_v_a1y);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_10, 1, __pyx_v_a1y) != (0)) __PYX_ERR(0, 730, __pyx_L1_error);
    __pyx_t_11 = PyTuple_New(2); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 730, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_11);
    __Pyx_INCREF(__pyx_v_b1x);
    __Pyx_GIVEREF(__pyx_v_b1x);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_11, 0, __pyx_v_b1x) != (0)) __PYX_ERR(0, 730, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_b1y);
    __Pyx_GIVEREF(__pyx_v_b1y);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_11, 1, __pyx_v_b1y) != (0)) __PYX_ERR(0, 730, __pyx_L1_error);
    __pyx_t_12 = PyTuple_New(2); if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 730, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_12);
    __Pyx_INCREF(__pyx_v_c1x);
    __Pyx_GIVEREF(__pyx_v_c1x);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_12, 0, __pyx_v_c1x) != (0)) __PYX_ERR(0, 730, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_c1y);
    __Pyx_GIVEREF(__pyx_v_c1y);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_12, 1, __pyx_v_c1y) != (0)) __PYX_ERR(0, 730, __pyx_L1_error);
    __pyx_t_7 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_1))) {
      __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_1);
      assert(__pyx_t_2);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_1);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_1, __pyx__function);
      __pyx_t_7 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[4] = {__pyx_t_2, __pyx_t_10, __pyx_t_11, __pyx_t_12};
      __pyx_t_9 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_1, __pyx_callargs+__pyx_t_7, (4-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
      __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
      __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
      __Pyx_DECREF(__pyx_t_12); __pyx_t_12 = 0;
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 730, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_9);
    }
    if ((likely(PyTuple_CheckExact(__pyx_t_9))) || (PyList_CheckExact(__pyx_t_9))) {
      PyObject* sequence = __pyx_t_9;
      Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
      if (unlikely(size != 3)) {
        if (size > 3) __Pyx_RaiseTooManyValuesError(3);
        else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
        __PYX_ERR(0, 730, __pyx_L1_error)
      }
      #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      if (likely(PyTuple_CheckExact(sequence))) {
        __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0);
        __Pyx_INCREF(__pyx_t_1);
        __pyx_t_12 = PyTuple_GET_ITEM(sequence, 1);
        __Pyx_INCREF(__pyx_t_12);
        __pyx_t_11 = PyTuple_GET_ITEM(sequence, 2);
        __Pyx_INCREF(__pyx_t_11);
      } else {
        __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
        if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 730, __pyx_L1_error)
        __Pyx_XGOTREF(__pyx_t_1);
        __pyx_t_12 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
        if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 730, __pyx_L1_error)
        __Pyx_XGOTREF(__pyx_t_12);
        __pyx_t_11 = __Pyx_PyList_GetItemRefFast(sequence, 2, __Pyx_ReferenceSharing_SharedReference);
        if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 730, __pyx_L1_error)
        __Pyx_XGOTREF(__pyx_t_11);
      }
      #else
      __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 730, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __pyx_t_12 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 730, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_12);
      __pyx_t_11 = __Pyx_PySequence_ITEM(sequence, 2); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 730, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_11);
      #endif
      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    } else {
      Py_ssize_t index = -1;
      __pyx_t_10 = PyObject_GetIter(__pyx_t_9); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 730, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_10);
      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
      __pyx_t_5 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_10);
      index = 0; __pyx_t_1 = __pyx_t_5(__pyx_t_10); if (unlikely(!__pyx_t_1)) goto __pyx_L11_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_1);
      index = 1; __pyx_t_12 = __pyx_t_5(__pyx_t_10); if (unlikely(!__pyx_t_12)) goto __pyx_L11_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_12);
      index = 2; __pyx_t_11 = __pyx_t_5(__pyx_t_10); if (unlikely(!__pyx_t_11)) goto __pyx_L11_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_11);
      if (__Pyx_IternextUnpackEndCheck(__pyx_t_5(__pyx_t_10), 3) < (0)) __PYX_ERR(0, 730, __pyx_L1_error)
      __pyx_t_5 = NULL;
      __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
      goto __pyx_L12_unpacking_done;
      __pyx_L11_unpacking_failed:;
      __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
      __pyx_t_5 = NULL;
      if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
      __PYX_ERR(0, 730, __pyx_L1_error)
      __pyx_L12_unpacking_done:;
    }
    __Pyx_XDECREF_SET(__pyx_v_pt1, __pyx_t_1);
    __pyx_t_1 = 0;
    __Pyx_XDECREF_SET(__pyx_v_pt2, __pyx_t_12);
    __pyx_t_12 = 0;
    __Pyx_XDECREF_SET(__pyx_v_pt3, __pyx_t_11);
    __pyx_t_11 = 0;

    /* "fontTools/misc/bezierTools.py":731
 * 
 *         pt1, pt2, pt3 = calcQuadraticPoints((a1x, a1y), (b1x, b1y), (c1x, c1y))
 *         segments.append((pt1, pt2, pt3))             # <<<<<<<<<<<<<<
 *     return segments
 * 
*/
    __pyx_t_9 = PyTuple_New(3); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 731, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __Pyx_INCREF(__pyx_v_pt1);
    __Pyx_GIVEREF(__pyx_v_pt1);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_9, 0, __pyx_v_pt1) != (0)) __PYX_ERR(0, 731, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_9, 1, __pyx_v_pt2) != (0)) __PYX_ERR(0, 731, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt3);
    __Pyx_GIVEREF(__pyx_v_pt3);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_9, 2, __pyx_v_pt3) != (0)) __PYX_ERR(0, 731, __pyx_L1_error);
    __pyx_t_3 = __Pyx_PyList_Append(__pyx_v_segments, __pyx_t_9); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(0, 731, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;

    /* "fontTools/misc/bezierTools.py":716
 *     bx, by = b
 *     cx, cy = c
 *     for i in range(len(ts) - 1):             # <<<<<<<<<<<<<<
 *         t1 = ts[i]
 *         t2 = ts[i + 1]
*/
  }
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;

  /* "fontTools/misc/bezierTools.py":732
 *         pt1, pt2, pt3 = calcQuadraticPoints((a1x, a1y), (b1x, b1y), (c1x, c1y))
 *         segments.append((pt1, pt2, pt3))
 *     return segments             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __Pyx_INCREF(__pyx_v_segments);
  __pyx_r = __pyx_v_segments;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":708
 * 
 * 
 * def _splitQuadraticAtT(a, b, c, *ts):             # <<<<<<<<<<<<<<
 *     ts = list(ts)
 *     segments = []
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_9);
  __Pyx_XDECREF(__pyx_t_10);
  __Pyx_XDECREF(__pyx_t_11);
  __Pyx_XDECREF(__pyx_t_12);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._splitQuadraticAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_ts);
  __Pyx_XDECREF(__pyx_v_segments);
  __Pyx_XDECREF(__pyx_v_ax);
  __Pyx_XDECREF(__pyx_v_ay);
  __Pyx_XDECREF(__pyx_v_bx);
  __Pyx_XDECREF(__pyx_v_by);
  __Pyx_XDECREF(__pyx_v_cx);
  __Pyx_XDECREF(__pyx_v_cy);
  __Pyx_XDECREF(__pyx_v_i);
  __Pyx_XDECREF(__pyx_v_t1);
  __Pyx_XDECREF(__pyx_v_t2);
  __Pyx_XDECREF(__pyx_v_delta);
  __Pyx_XDECREF(__pyx_v_delta_2);
  __Pyx_XDECREF(__pyx_v_a1x);
  __Pyx_XDECREF(__pyx_v_a1y);
  __Pyx_XDECREF(__pyx_v_b1x);
  __Pyx_XDECREF(__pyx_v_b1y);
  __Pyx_XDECREF(__pyx_v_t1_2);
  __Pyx_XDECREF(__pyx_v_c1x);
  __Pyx_XDECREF(__pyx_v_c1y);
  __Pyx_XDECREF(__pyx_v_pt1);
  __Pyx_XDECREF(__pyx_v_pt2);
  __Pyx_XDECREF(__pyx_v_pt3);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":735
 * 
 * 
 * def _splitCubicAtT(a, b, c, d, *ts):             # <<<<<<<<<<<<<<
 *     ts = list(ts)
 *     ts.insert(0, 0.0)
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_42_splitCubicAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_41_splitCubicAtT, "_splitCubicAtT(a, b, c, d, *ts)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_42_splitCubicAtT = {"_splitCubicAtT", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_42_splitCubicAtT, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_41_splitCubicAtT};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_42_splitCubicAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_a = 0;
  PyObject *__pyx_v_b = 0;
  PyObject *__pyx_v_c = 0;
  PyObject *__pyx_v_d = 0;
  PyObject *__pyx_v_ts = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_splitCubicAtT (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  __pyx_v_ts = __Pyx_ArgsSlice_FASTCALL(__pyx_args, 4, __pyx_nargs);
  if (unlikely(!__pyx_v_ts)) {
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __Pyx_GOTREF(__pyx_v_ts);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_a,&__pyx_mstate_global->__pyx_n_u_b,&__pyx_mstate_global->__pyx_n_u_c,&__pyx_mstate_global->__pyx_n_u_d,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 735, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        default:
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 735, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 735, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 735, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 735, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      const Py_ssize_t used_pos_args = (kwd_pos_args < 4) ? kwd_pos_args : 4;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, used_pos_args, __pyx_kwds_len, "_splitCubicAtT", 0) < (0)) __PYX_ERR(0, 735, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 4; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("_splitCubicAtT", 0, 4, 4, i); __PYX_ERR(0, 735, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs < 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 735, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 735, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 735, __pyx_L3_error)
      values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 735, __pyx_L3_error)
    }
    __pyx_v_a = values[0];
    __pyx_v_b = values[1];
    __pyx_v_c = values[2];
    __pyx_v_d = values[3];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_splitCubicAtT", 0, 4, 4, __pyx_nargs); __PYX_ERR(0, 735, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_DECREF(__pyx_v_ts); __pyx_v_ts = 0;
  __Pyx_AddTraceback("fontTools.misc.bezierTools._splitCubicAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_41_splitCubicAtT(__pyx_self, __pyx_v_a, __pyx_v_b, __pyx_v_c, __pyx_v_d, __pyx_v_ts);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_DECREF(__pyx_v_ts);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_41_splitCubicAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_d, PyObject *__pyx_v_ts) {
  PyObject *__pyx_v_segments = NULL;
  PyObject *__pyx_v_ax = NULL;
  PyObject *__pyx_v_ay = NULL;
  PyObject *__pyx_v_bx = NULL;
  PyObject *__pyx_v_by = NULL;
  PyObject *__pyx_v_cx = NULL;
  PyObject *__pyx_v_cy = NULL;
  PyObject *__pyx_v_dx = NULL;
  PyObject *__pyx_v_dy = NULL;
  PyObject *__pyx_v_i = NULL;
  PyObject *__pyx_v_t1 = NULL;
  PyObject *__pyx_v_t2 = NULL;
  PyObject *__pyx_v_delta = NULL;
  PyObject *__pyx_v_delta_2 = NULL;
  PyObject *__pyx_v_delta_3 = NULL;
  PyObject *__pyx_v_t1_2 = NULL;
  PyObject *__pyx_v_t1_3 = NULL;
  PyObject *__pyx_v_a1x = NULL;
  PyObject *__pyx_v_a1y = NULL;
  PyObject *__pyx_v_b1x = NULL;
  PyObject *__pyx_v_b1y = NULL;
  PyObject *__pyx_v_c1x = NULL;
  PyObject *__pyx_v_c1y = NULL;
  PyObject *__pyx_v_d1x = NULL;
  PyObject *__pyx_v_d1y = NULL;
  PyObject *__pyx_v_pt1 = NULL;
  PyObject *__pyx_v_pt2 = NULL;
  PyObject *__pyx_v_pt3 = NULL;
  PyObject *__pyx_v_pt4 = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  int __pyx_t_3;
  PyObject *__pyx_t_4 = NULL;
  PyObject *(*__pyx_t_5)(PyObject *);
  Py_ssize_t __pyx_t_6;
  size_t __pyx_t_7;
  PyObject *(*__pyx_t_8)(PyObject *);
  PyObject *__pyx_t_9 = NULL;
  PyObject *__pyx_t_10 = NULL;
  PyObject *__pyx_t_11 = NULL;
  PyObject *__pyx_t_12 = NULL;
  PyObject *__pyx_t_13 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_splitCubicAtT", 0);
  __Pyx_INCREF(__pyx_v_ts);

  /* "fontTools/misc/bezierTools.py":736
 * 
 * def _splitCubicAtT(a, b, c, d, *ts):
 *     ts = list(ts)             # <<<<<<<<<<<<<<
 *     ts.insert(0, 0.0)
 *     ts.append(1.0)
*/
  __pyx_t_1 = PySequence_List(__pyx_v_ts); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 736, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF_SET(__pyx_v_ts, __pyx_t_1);
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":737
 * def _splitCubicAtT(a, b, c, d, *ts):
 *     ts = list(ts)
 *     ts.insert(0, 0.0)             # <<<<<<<<<<<<<<
 *     ts.append(1.0)
 *     segments = []
*/
  __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_v_ts, __pyx_mstate_global->__pyx_n_u_insert); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 737, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_mstate_global->__pyx_tuple[0], NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 737, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":738
 *     ts = list(ts)
 *     ts.insert(0, 0.0)
 *     ts.append(1.0)             # <<<<<<<<<<<<<<
 *     segments = []
 *     ax, ay = a
*/
  __pyx_t_3 = __Pyx_PyObject_Append(__pyx_v_ts, __pyx_mstate_global->__pyx_float_1_0); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(0, 738, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":739
 *     ts.insert(0, 0.0)
 *     ts.append(1.0)
 *     segments = []             # <<<<<<<<<<<<<<
 *     ax, ay = a
 *     bx, by = b
*/
  __pyx_t_2 = PyList_New(0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 739, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_v_segments = ((PyObject*)__pyx_t_2);
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":740
 *     ts.append(1.0)
 *     segments = []
 *     ax, ay = a             # <<<<<<<<<<<<<<
 *     bx, by = b
 *     cx, cy = c
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_a))) || (PyList_CheckExact(__pyx_v_a))) {
    PyObject* sequence = __pyx_v_a;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 740, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_2);
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_1);
    } else {
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 740, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 740, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
    }
    #else
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 740, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 740, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_4 = PyObject_GetIter(__pyx_v_a); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 740, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_5 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_4);
    index = 0; __pyx_t_2 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_2)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_1)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_5(__pyx_t_4), 2) < (0)) __PYX_ERR(0, 740, __pyx_L1_error)
    __pyx_t_5 = NULL;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_5 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 740, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_ax = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_ay = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":741
 *     segments = []
 *     ax, ay = a
 *     bx, by = b             # <<<<<<<<<<<<<<
 *     cx, cy = c
 *     dx, dy = d
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_b))) || (PyList_CheckExact(__pyx_v_b))) {
    PyObject* sequence = __pyx_v_b;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 741, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_1);
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_2);
    } else {
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 741, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 741, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
    }
    #else
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 741, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 741, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_4 = PyObject_GetIter(__pyx_v_b); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 741, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_5 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_4);
    index = 0; __pyx_t_1 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_1)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_2)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_5(__pyx_t_4), 2) < (0)) __PYX_ERR(0, 741, __pyx_L1_error)
    __pyx_t_5 = NULL;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    goto __pyx_L6_unpacking_done;
    __pyx_L5_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_5 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 741, __pyx_L1_error)
    __pyx_L6_unpacking_done:;
  }
  __pyx_v_bx = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_by = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":742
 *     ax, ay = a
 *     bx, by = b
 *     cx, cy = c             # <<<<<<<<<<<<<<
 *     dx, dy = d
 *     for i in range(len(ts) - 1):
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_c))) || (PyList_CheckExact(__pyx_v_c))) {
    PyObject* sequence = __pyx_v_c;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 742, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_2);
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_1);
    } else {
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 742, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 742, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
    }
    #else
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 742, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 742, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_4 = PyObject_GetIter(__pyx_v_c); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 742, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_5 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_4);
    index = 0; __pyx_t_2 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_2)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_1)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_5(__pyx_t_4), 2) < (0)) __PYX_ERR(0, 742, __pyx_L1_error)
    __pyx_t_5 = NULL;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    goto __pyx_L8_unpacking_done;
    __pyx_L7_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_5 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 742, __pyx_L1_error)
    __pyx_L8_unpacking_done:;
  }
  __pyx_v_cx = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_cy = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":743
 *     bx, by = b
 *     cx, cy = c
 *     dx, dy = d             # <<<<<<<<<<<<<<
 *     for i in range(len(ts) - 1):
 *         t1 = ts[i]
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_d))) || (PyList_CheckExact(__pyx_v_d))) {
    PyObject* sequence = __pyx_v_d;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 743, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_1);
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_2);
    } else {
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 743, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 743, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
    }
    #else
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 743, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 743, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_4 = PyObject_GetIter(__pyx_v_d); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 743, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_5 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_4);
    index = 0; __pyx_t_1 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_1)) goto __pyx_L9_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_2)) goto __pyx_L9_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_5(__pyx_t_4), 2) < (0)) __PYX_ERR(0, 743, __pyx_L1_error)
    __pyx_t_5 = NULL;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    goto __pyx_L10_unpacking_done;
    __pyx_L9_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_5 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 743, __pyx_L1_error)
    __pyx_L10_unpacking_done:;
  }
  __pyx_v_dx = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_dy = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":744
 *     cx, cy = c
 *     dx, dy = d
 *     for i in range(len(ts) - 1):             # <<<<<<<<<<<<<<
 *         t1 = ts[i]
 *         t2 = ts[i + 1]
*/
  __pyx_t_1 = NULL;
  __pyx_t_6 = PyObject_Length(__pyx_v_ts); if (unlikely(__pyx_t_6 == ((Py_ssize_t)-1))) __PYX_ERR(0, 744, __pyx_L1_error)
  __pyx_t_4 = PyLong_FromSsize_t((__pyx_t_6 - 1)); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 744, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_7 = 1;
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_1, __pyx_t_4};
    __pyx_t_2 = __Pyx_PyObject_FastCall((PyObject*)(&PyRange_Type), __pyx_callargs+__pyx_t_7, (2-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 744, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
  }
  __pyx_t_4 = PyObject_GetIter(__pyx_t_2); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 744, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_8 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_4); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 744, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  for (;;) {
    {
      __pyx_t_2 = __pyx_t_8(__pyx_t_4);
      if (unlikely(!__pyx_t_2)) {
        PyObject* exc_type = PyErr_Occurred();
        if (exc_type) {
          if (unlikely(!__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) __PYX_ERR(0, 744, __pyx_L1_error)
          PyErr_Clear();
        }
        break;
      }
    }
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_XDECREF_SET(__pyx_v_i, __pyx_t_2);
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":745
 *     dx, dy = d
 *     for i in range(len(ts) - 1):
 *         t1 = ts[i]             # <<<<<<<<<<<<<<
 *         t2 = ts[i + 1]
 *         delta = t2 - t1
*/
    __pyx_t_2 = __Pyx_PyObject_GetItem(__pyx_v_ts, __pyx_v_i); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 745, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_XDECREF_SET(__pyx_v_t1, __pyx_t_2);
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":746
 *     for i in range(len(ts) - 1):
 *         t1 = ts[i]
 *         t2 = ts[i + 1]             # <<<<<<<<<<<<<<
 *         delta = t2 - t1
 * 
*/
    __pyx_t_2 = __Pyx_PyLong_AddObjC(__pyx_v_i, __pyx_mstate_global->__pyx_int_1, 1, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 746, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_PyObject_GetItem(__pyx_v_ts, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 746, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_XDECREF_SET(__pyx_v_t2, __pyx_t_1);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":747
 *         t1 = ts[i]
 *         t2 = ts[i + 1]
 *         delta = t2 - t1             # <<<<<<<<<<<<<<
 * 
 *         delta_2 = delta * delta
*/
    __pyx_t_1 = PyNumber_Subtract(__pyx_v_t2, __pyx_v_t1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 747, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_XDECREF_SET(__pyx_v_delta, __pyx_t_1);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":749
 *         delta = t2 - t1
 * 
 *         delta_2 = delta * delta             # <<<<<<<<<<<<<<
 *         delta_3 = delta * delta_2
 *         t1_2 = t1 * t1
*/
    __pyx_t_1 = PyNumber_Multiply(__pyx_v_delta, __pyx_v_delta); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 749, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_XDECREF_SET(__pyx_v_delta_2, __pyx_t_1);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":750
 * 
 *         delta_2 = delta * delta
 *         delta_3 = delta * delta_2             # <<<<<<<<<<<<<<
 *         t1_2 = t1 * t1
 *         t1_3 = t1 * t1_2
*/
    __pyx_t_1 = PyNumber_Multiply(__pyx_v_delta, __pyx_v_delta_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 750, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_XDECREF_SET(__pyx_v_delta_3, __pyx_t_1);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":751
 *         delta_2 = delta * delta
 *         delta_3 = delta * delta_2
 *         t1_2 = t1 * t1             # <<<<<<<<<<<<<<
 *         t1_3 = t1 * t1_2
 * 
*/
    __pyx_t_1 = PyNumber_Multiply(__pyx_v_t1, __pyx_v_t1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 751, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_XDECREF_SET(__pyx_v_t1_2, __pyx_t_1);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":752
 *         delta_3 = delta * delta_2
 *         t1_2 = t1 * t1
 *         t1_3 = t1 * t1_2             # <<<<<<<<<<<<<<
 * 
 *         # calc new a, b, c and d
*/
    __pyx_t_1 = PyNumber_Multiply(__pyx_v_t1, __pyx_v_t1_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 752, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_XDECREF_SET(__pyx_v_t1_3, __pyx_t_1);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":755
 * 
 *         # calc new a, b, c and d
 *         a1x = ax * delta_3             # <<<<<<<<<<<<<<
 *         a1y = ay * delta_3
 *         b1x = (3 * ax * t1 + bx) * delta_2
*/
    __pyx_t_1 = PyNumber_Multiply(__pyx_v_ax, __pyx_v_delta_3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 755, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_XDECREF_SET(__pyx_v_a1x, __pyx_t_1);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":756
 *         # calc new a, b, c and d
 *         a1x = ax * delta_3
 *         a1y = ay * delta_3             # <<<<<<<<<<<<<<
 *         b1x = (3 * ax * t1 + bx) * delta_2
 *         b1y = (3 * ay * t1 + by) * delta_2
*/
    __pyx_t_1 = PyNumber_Multiply(__pyx_v_ay, __pyx_v_delta_3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 756, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_XDECREF_SET(__pyx_v_a1y, __pyx_t_1);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":757
 *         a1x = ax * delta_3
 *         a1y = ay * delta_3
 *         b1x = (3 * ax * t1 + bx) * delta_2             # <<<<<<<<<<<<<<
 *         b1y = (3 * ay * t1 + by) * delta_2
 *         c1x = (2 * bx * t1 + cx + 3 * ax * t1_2) * delta
*/
    __pyx_t_1 = __Pyx_PyLong_MultiplyCObj(__pyx_mstate_global->__pyx_int_3, __pyx_v_ax, 3, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 757, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PyNumber_Multiply(__pyx_t_1, __pyx_v_t1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 757, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = PyNumber_Add(__pyx_t_2, __pyx_v_bx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 757, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = PyNumber_Multiply(__pyx_t_1, __pyx_v_delta_2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 757, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_XDECREF_SET(__pyx_v_b1x, __pyx_t_2);
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":758
 *         a1y = ay * delta_3
 *         b1x = (3 * ax * t1 + bx) * delta_2
 *         b1y = (3 * ay * t1 + by) * delta_2             # <<<<<<<<<<<<<<
 *         c1x = (2 * bx * t1 + cx + 3 * ax * t1_2) * delta
 *         c1y = (2 * by * t1 + cy + 3 * ay * t1_2) * delta
*/
    __pyx_t_2 = __Pyx_PyLong_MultiplyCObj(__pyx_mstate_global->__pyx_int_3, __pyx_v_ay, 3, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 758, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PyNumber_Multiply(__pyx_t_2, __pyx_v_t1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 758, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = PyNumber_Add(__pyx_t_1, __pyx_v_by); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 758, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = PyNumber_Multiply(__pyx_t_2, __pyx_v_delta_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 758, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_XDECREF_SET(__pyx_v_b1y, __pyx_t_1);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":759
 *         b1x = (3 * ax * t1 + bx) * delta_2
 *         b1y = (3 * ay * t1 + by) * delta_2
 *         c1x = (2 * bx * t1 + cx + 3 * ax * t1_2) * delta             # <<<<<<<<<<<<<<
 *         c1y = (2 * by * t1 + cy + 3 * ay * t1_2) * delta
 *         d1x = ax * t1_3 + bx * t1_2 + cx * t1 + dx
*/
    __pyx_t_1 = __Pyx_PyLong_MultiplyCObj(__pyx_mstate_global->__pyx_int_2, __pyx_v_bx, 2, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 759, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PyNumber_Multiply(__pyx_t_1, __pyx_v_t1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 759, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = PyNumber_Add(__pyx_t_2, __pyx_v_cx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 759, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = __Pyx_PyLong_MultiplyCObj(__pyx_mstate_global->__pyx_int_3, __pyx_v_ax, 3, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 759, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_9 = PyNumber_Multiply(__pyx_t_2, __pyx_v_t1_2); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 759, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = PyNumber_Add(__pyx_t_1, __pyx_t_9); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 759, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    __pyx_t_9 = PyNumber_Multiply(__pyx_t_2, __pyx_v_delta); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 759, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_XDECREF_SET(__pyx_v_c1x, __pyx_t_9);
    __pyx_t_9 = 0;

    /* "fontTools/misc/bezierTools.py":760
 *         b1y = (3 * ay * t1 + by) * delta_2
 *         c1x = (2 * bx * t1 + cx + 3 * ax * t1_2) * delta
 *         c1y = (2 * by * t1 + cy + 3 * ay * t1_2) * delta             # <<<<<<<<<<<<<<
 *         d1x = ax * t1_3 + bx * t1_2 + cx * t1 + dx
 *         d1y = ay * t1_3 + by * t1_2 + cy * t1 + dy
*/
    __pyx_t_9 = __Pyx_PyLong_MultiplyCObj(__pyx_mstate_global->__pyx_int_2, __pyx_v_by, 2, 0, 0); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 760, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __pyx_t_2 = PyNumber_Multiply(__pyx_t_9, __pyx_v_t1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 760, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    __pyx_t_9 = PyNumber_Add(__pyx_t_2, __pyx_v_cy); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 760, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = __Pyx_PyLong_MultiplyCObj(__pyx_mstate_global->__pyx_int_3, __pyx_v_ay, 3, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 760, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PyNumber_Multiply(__pyx_t_2, __pyx_v_t1_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 760, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = PyNumber_Add(__pyx_t_9, __pyx_t_1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 760, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = PyNumber_Multiply(__pyx_t_2, __pyx_v_delta); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 760, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_XDECREF_SET(__pyx_v_c1y, __pyx_t_1);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":761
 *         c1x = (2 * bx * t1 + cx + 3 * ax * t1_2) * delta
 *         c1y = (2 * by * t1 + cy + 3 * ay * t1_2) * delta
 *         d1x = ax * t1_3 + bx * t1_2 + cx * t1 + dx             # <<<<<<<<<<<<<<
 *         d1y = ay * t1_3 + by * t1_2 + cy * t1 + dy
 *         pt1, pt2, pt3, pt4 = calcCubicPoints(
*/
    __pyx_t_1 = PyNumber_Multiply(__pyx_v_ax, __pyx_v_t1_3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 761, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PyNumber_Multiply(__pyx_v_bx, __pyx_v_t1_2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 761, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_9 = PyNumber_Add(__pyx_t_1, __pyx_t_2); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 761, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = PyNumber_Multiply(__pyx_v_cx, __pyx_v_t1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 761, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PyNumber_Add(__pyx_t_9, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 761, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = PyNumber_Add(__pyx_t_1, __pyx_v_dx); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 761, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_XDECREF_SET(__pyx_v_d1x, __pyx_t_2);
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":762
 *         c1y = (2 * by * t1 + cy + 3 * ay * t1_2) * delta
 *         d1x = ax * t1_3 + bx * t1_2 + cx * t1 + dx
 *         d1y = ay * t1_3 + by * t1_2 + cy * t1 + dy             # <<<<<<<<<<<<<<
 *         pt1, pt2, pt3, pt4 = calcCubicPoints(
 *             (a1x, a1y), (b1x, b1y), (c1x, c1y), (d1x, d1y)
*/
    __pyx_t_2 = PyNumber_Multiply(__pyx_v_ay, __pyx_v_t1_3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 762, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PyNumber_Multiply(__pyx_v_by, __pyx_v_t1_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 762, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_9 = PyNumber_Add(__pyx_t_2, __pyx_t_1); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 762, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = PyNumber_Multiply(__pyx_v_cy, __pyx_v_t1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 762, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PyNumber_Add(__pyx_t_9, __pyx_t_1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 762, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = PyNumber_Add(__pyx_t_2, __pyx_v_dy); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 762, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_XDECREF_SET(__pyx_v_d1y, __pyx_t_1);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":763
 *         d1x = ax * t1_3 + bx * t1_2 + cx * t1 + dx
 *         d1y = ay * t1_3 + by * t1_2 + cy * t1 + dy
 *         pt1, pt2, pt3, pt4 = calcCubicPoints(             # <<<<<<<<<<<<<<
 *             (a1x, a1y), (b1x, b1y), (c1x, c1y), (d1x, d1y)
 *         )
*/
    __pyx_t_2 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_9, __pyx_mstate_global->__pyx_n_u_calcCubicPoints); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 763, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);

    /* "fontTools/misc/bezierTools.py":764
 *         d1y = ay * t1_3 + by * t1_2 + cy * t1 + dy
 *         pt1, pt2, pt3, pt4 = calcCubicPoints(
 *             (a1x, a1y), (b1x, b1y), (c1x, c1y), (d1x, d1y)             # <<<<<<<<<<<<<<
 *         )
 *         segments.append((pt1, pt2, pt3, pt4))
*/
    __pyx_t_10 = PyTuple_New(2); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 764, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_10);
    __Pyx_INCREF(__pyx_v_a1x);
    __Pyx_GIVEREF(__pyx_v_a1x);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_10, 0, __pyx_v_a1x) != (0)) __PYX_ERR(0, 764, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_a1y);
    __Pyx_GIVEREF(__pyx_v_a1y);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_10, 1, __pyx_v_a1y) != (0)) __PYX_ERR(0, 764, __pyx_L1_error);
    __pyx_t_11 = PyTuple_New(2); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 764, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_11);
    __Pyx_INCREF(__pyx_v_b1x);
    __Pyx_GIVEREF(__pyx_v_b1x);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_11, 0, __pyx_v_b1x) != (0)) __PYX_ERR(0, 764, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_b1y);
    __Pyx_GIVEREF(__pyx_v_b1y);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_11, 1, __pyx_v_b1y) != (0)) __PYX_ERR(0, 764, __pyx_L1_error);
    __pyx_t_12 = PyTuple_New(2); if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 764, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_12);
    __Pyx_INCREF(__pyx_v_c1x);
    __Pyx_GIVEREF(__pyx_v_c1x);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_12, 0, __pyx_v_c1x) != (0)) __PYX_ERR(0, 764, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_c1y);
    __Pyx_GIVEREF(__pyx_v_c1y);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_12, 1, __pyx_v_c1y) != (0)) __PYX_ERR(0, 764, __pyx_L1_error);
    __pyx_t_13 = PyTuple_New(2); if (unlikely(!__pyx_t_13)) __PYX_ERR(0, 764, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_13);
    __Pyx_INCREF(__pyx_v_d1x);
    __Pyx_GIVEREF(__pyx_v_d1x);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_13, 0, __pyx_v_d1x) != (0)) __PYX_ERR(0, 764, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_d1y);
    __Pyx_GIVEREF(__pyx_v_d1y);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_13, 1, __pyx_v_d1y) != (0)) __PYX_ERR(0, 764, __pyx_L1_error);
    __pyx_t_7 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_9))) {
      __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_9);
      assert(__pyx_t_2);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_9);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_9, __pyx__function);
      __pyx_t_7 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[5] = {__pyx_t_2, __pyx_t_10, __pyx_t_11, __pyx_t_12, __pyx_t_13};
      __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_9, __pyx_callargs+__pyx_t_7, (5-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
      __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
      __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
      __Pyx_DECREF(__pyx_t_12); __pyx_t_12 = 0;
      __Pyx_DECREF(__pyx_t_13); __pyx_t_13 = 0;
      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 763, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
    }
    if ((likely(PyTuple_CheckExact(__pyx_t_1))) || (PyList_CheckExact(__pyx_t_1))) {
      PyObject* sequence = __pyx_t_1;
      Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
      if (unlikely(size != 4)) {
        if (size > 4) __Pyx_RaiseTooManyValuesError(4);
        else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
        __PYX_ERR(0, 763, __pyx_L1_error)
      }
      #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      if (likely(PyTuple_CheckExact(sequence))) {
        __pyx_t_9 = PyTuple_GET_ITEM(sequence, 0);
        __Pyx_INCREF(__pyx_t_9);
        __pyx_t_13 = PyTuple_GET_ITEM(sequence, 1);
        __Pyx_INCREF(__pyx_t_13);
        __pyx_t_12 = PyTuple_GET_ITEM(sequence, 2);
        __Pyx_INCREF(__pyx_t_12);
        __pyx_t_11 = PyTuple_GET_ITEM(sequence, 3);
        __Pyx_INCREF(__pyx_t_11);
      } else {
        __pyx_t_9 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
        if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 763, __pyx_L1_error)
        __Pyx_XGOTREF(__pyx_t_9);
        __pyx_t_13 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
        if (unlikely(!__pyx_t_13)) __PYX_ERR(0, 763, __pyx_L1_error)
        __Pyx_XGOTREF(__pyx_t_13);
        __pyx_t_12 = __Pyx_PyList_GetItemRefFast(sequence, 2, __Pyx_ReferenceSharing_SharedReference);
        if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 763, __pyx_L1_error)
        __Pyx_XGOTREF(__pyx_t_12);
        __pyx_t_11 = __Pyx_PyList_GetItemRefFast(sequence, 3, __Pyx_ReferenceSharing_SharedReference);
        if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 763, __pyx_L1_error)
        __Pyx_XGOTREF(__pyx_t_11);
      }
      #else
      {
        Py_ssize_t i;
        PyObject** temps[4] = {&__pyx_t_9,&__pyx_t_13,&__pyx_t_12,&__pyx_t_11};
        for (i=0; i < 4; i++) {
          PyObject* item = __Pyx_PySequence_ITEM(sequence, i); if (unlikely(!item)) __PYX_ERR(0, 763, __pyx_L1_error)
          __Pyx_GOTREF(item);
          *(temps[i]) = item;
        }
      }
      #endif
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    } else {
      Py_ssize_t index = -1;
      PyObject** temps[4] = {&__pyx_t_9,&__pyx_t_13,&__pyx_t_12,&__pyx_t_11};
      __pyx_t_10 = PyObject_GetIter(__pyx_t_1); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 763, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_10);
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      __pyx_t_5 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_10);
      for (index=0; index < 4; index++) {
        PyObject* item = __pyx_t_5(__pyx_t_10); if (unlikely(!item)) goto __pyx_L13_unpacking_failed;
        __Pyx_GOTREF(item);
        *(temps[index]) = item;
      }
      if (__Pyx_IternextUnpackEndCheck(__pyx_t_5(__pyx_t_10), 4) < (0)) __PYX_ERR(0, 763, __pyx_L1_error)
      __pyx_t_5 = NULL;
      __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
      goto __pyx_L14_unpacking_done;
      __pyx_L13_unpacking_failed:;
      __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
      __pyx_t_5 = NULL;
      if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
      __PYX_ERR(0, 763, __pyx_L1_error)
      __pyx_L14_unpacking_done:;
    }

    /* "fontTools/misc/bezierTools.py":763
 *         d1x = ax * t1_3 + bx * t1_2 + cx * t1 + dx
 *         d1y = ay * t1_3 + by * t1_2 + cy * t1 + dy
 *         pt1, pt2, pt3, pt4 = calcCubicPoints(             # <<<<<<<<<<<<<<
 *             (a1x, a1y), (b1x, b1y), (c1x, c1y), (d1x, d1y)
 *         )
*/
    __Pyx_XDECREF_SET(__pyx_v_pt1, __pyx_t_9);
    __pyx_t_9 = 0;
    __Pyx_XDECREF_SET(__pyx_v_pt2, __pyx_t_13);
    __pyx_t_13 = 0;
    __Pyx_XDECREF_SET(__pyx_v_pt3, __pyx_t_12);
    __pyx_t_12 = 0;
    __Pyx_XDECREF_SET(__pyx_v_pt4, __pyx_t_11);
    __pyx_t_11 = 0;

    /* "fontTools/misc/bezierTools.py":766
 *             (a1x, a1y), (b1x, b1y), (c1x, c1y), (d1x, d1y)
 *         )
 *         segments.append((pt1, pt2, pt3, pt4))             # <<<<<<<<<<<<<<
 *     return segments
 * 
*/
    __pyx_t_1 = PyTuple_New(4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 766, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_v_pt1);
    __Pyx_GIVEREF(__pyx_v_pt1);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_pt1) != (0)) __PYX_ERR(0, 766, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_pt2) != (0)) __PYX_ERR(0, 766, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt3);
    __Pyx_GIVEREF(__pyx_v_pt3);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 2, __pyx_v_pt3) != (0)) __PYX_ERR(0, 766, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt4);
    __Pyx_GIVEREF(__pyx_v_pt4);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 3, __pyx_v_pt4) != (0)) __PYX_ERR(0, 766, __pyx_L1_error);
    __pyx_t_3 = __Pyx_PyList_Append(__pyx_v_segments, __pyx_t_1); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(0, 766, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":744
 *     cx, cy = c
 *     dx, dy = d
 *     for i in range(len(ts) - 1):             # <<<<<<<<<<<<<<
 *         t1 = ts[i]
 *         t2 = ts[i + 1]
*/
  }
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;

  /* "fontTools/misc/bezierTools.py":767
 *         )
 *         segments.append((pt1, pt2, pt3, pt4))
 *     return segments             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __Pyx_INCREF(__pyx_v_segments);
  __pyx_r = __pyx_v_segments;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":735
 * 
 * 
 * def _splitCubicAtT(a, b, c, d, *ts):             # <<<<<<<<<<<<<<
 *     ts = list(ts)
 *     ts.insert(0, 0.0)
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_9);
  __Pyx_XDECREF(__pyx_t_10);
  __Pyx_XDECREF(__pyx_t_11);
  __Pyx_XDECREF(__pyx_t_12);
  __Pyx_XDECREF(__pyx_t_13);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._splitCubicAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_ts);
  __Pyx_XDECREF(__pyx_v_segments);
  __Pyx_XDECREF(__pyx_v_ax);
  __Pyx_XDECREF(__pyx_v_ay);
  __Pyx_XDECREF(__pyx_v_bx);
  __Pyx_XDECREF(__pyx_v_by);
  __Pyx_XDECREF(__pyx_v_cx);
  __Pyx_XDECREF(__pyx_v_cy);
  __Pyx_XDECREF(__pyx_v_dx);
  __Pyx_XDECREF(__pyx_v_dy);
  __Pyx_XDECREF(__pyx_v_i);
  __Pyx_XDECREF(__pyx_v_t1);
  __Pyx_XDECREF(__pyx_v_t2);
  __Pyx_XDECREF(__pyx_v_delta);
  __Pyx_XDECREF(__pyx_v_delta_2);
  __Pyx_XDECREF(__pyx_v_delta_3);
  __Pyx_XDECREF(__pyx_v_t1_2);
  __Pyx_XDECREF(__pyx_v_t1_3);
  __Pyx_XDECREF(__pyx_v_a1x);
  __Pyx_XDECREF(__pyx_v_a1y);
  __Pyx_XDECREF(__pyx_v_b1x);
  __Pyx_XDECREF(__pyx_v_b1y);
  __Pyx_XDECREF(__pyx_v_c1x);
  __Pyx_XDECREF(__pyx_v_c1y);
  __Pyx_XDECREF(__pyx_v_d1x);
  __Pyx_XDECREF(__pyx_v_d1y);
  __Pyx_XDECREF(__pyx_v_pt1);
  __Pyx_XDECREF(__pyx_v_pt2);
  __Pyx_XDECREF(__pyx_v_pt3);
  __Pyx_XDECREF(__pyx_v_pt4);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}
static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_45generator1(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value); /* proto */

/* "fontTools/misc/bezierTools.py":770
 * 
 * 
 * @cython.locals(             # <<<<<<<<<<<<<<
 *     a=cython.complex,
 *     b=cython.complex,
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_44_splitCubicAtTC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_43_splitCubicAtTC, "_splitCubicAtTC(double complex a, double complex b, double complex c, double complex d, *ts)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_44_splitCubicAtTC = {"_splitCubicAtTC", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_44_splitCubicAtTC, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_43_splitCubicAtTC};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_44_splitCubicAtTC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  __pyx_t_double_complex __pyx_v_a;
  __pyx_t_double_complex __pyx_v_b;
  __pyx_t_double_complex __pyx_v_c;
  __pyx_t_double_complex __pyx_v_d;
  PyObject *__pyx_v_ts = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_splitCubicAtTC (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  __pyx_v_ts = __Pyx_ArgsSlice_FASTCALL(__pyx_args, 4, __pyx_nargs);
  if (unlikely(!__pyx_v_ts)) {
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __Pyx_GOTREF(__pyx_v_ts);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_a,&__pyx_mstate_global->__pyx_n_u_b,&__pyx_mstate_global->__pyx_n_u_c,&__pyx_mstate_global->__pyx_n_u_d,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 770, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        default:
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 770, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 770, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 770, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 770, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      const Py_ssize_t used_pos_args = (kwd_pos_args < 4) ? kwd_pos_args : 4;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, used_pos_args, __pyx_kwds_len, "_splitCubicAtTC", 0) < (0)) __PYX_ERR(0, 770, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 4; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("_splitCubicAtTC", 0, 4, 4, i); __PYX_ERR(0, 770, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs < 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 770, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 770, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 770, __pyx_L3_error)
      values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 770, __pyx_L3_error)
    }
    __pyx_v_a = __Pyx_PyComplex_As___pyx_t_double_complex(values[0]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 785, __pyx_L3_error)
    __pyx_v_b = __Pyx_PyComplex_As___pyx_t_double_complex(values[1]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 785, __pyx_L3_error)
    __pyx_v_c = __Pyx_PyComplex_As___pyx_t_double_complex(values[2]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 785, __pyx_L3_error)
    __pyx_v_d = __Pyx_PyComplex_As___pyx_t_double_complex(values[3]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 785, __pyx_L3_error)
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_splitCubicAtTC", 0, 4, 4, __pyx_nargs); __PYX_ERR(0, 770, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_CLEAR(__pyx_v_ts);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._splitCubicAtTC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_43_splitCubicAtTC(__pyx_self, __pyx_v_a, __pyx_v_b, __pyx_v_c, __pyx_v_d, __pyx_v_ts);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_DECREF(__pyx_v_ts);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_43_splitCubicAtTC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_a, __pyx_t_double_complex __pyx_v_b, __pyx_t_double_complex __pyx_v_c, __pyx_t_double_complex __pyx_v_d, PyObject *__pyx_v_ts) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC *__pyx_cur_scope;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_splitCubicAtTC", 0);
  __pyx_cur_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC(__pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC, __pyx_mstate_global->__pyx_empty_tuple, NULL);
  if (unlikely(!__pyx_cur_scope)) {
    __pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC *)Py_None);
    __Pyx_INCREF(Py_None);
    __PYX_ERR(0, 770, __pyx_L1_error)
  } else {
    __Pyx_GOTREF((PyObject *)__pyx_cur_scope);
  }
  __pyx_cur_scope->__pyx_v_a = __pyx_v_a;
  __pyx_cur_scope->__pyx_v_b = __pyx_v_b;
  __pyx_cur_scope->__pyx_v_c = __pyx_v_c;
  __pyx_cur_scope->__pyx_v_d = __pyx_v_d;
  __pyx_cur_scope->__pyx_v_ts = __pyx_v_ts;
  __Pyx_INCREF(__pyx_cur_scope->__pyx_v_ts);
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_v_ts);
  {
    __pyx_CoroutineObject *gen = __Pyx_Generator_New((__pyx_coroutine_body_t) __pyx_gb_9fontTools_4misc_11bezierTools_45generator1, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[3]), (PyObject *) __pyx_cur_scope, __pyx_mstate_global->__pyx_n_u_splitCubicAtTC_2, __pyx_mstate_global->__pyx_n_u_splitCubicAtTC_2, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools); if (unlikely(!gen)) __PYX_ERR(0, 770, __pyx_L1_error)
    __Pyx_DECREF(__pyx_cur_scope);
    __Pyx_RefNannyFinishContext();
    return (PyObject *) gen;
  }

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_AddTraceback("fontTools.misc.bezierTools._splitCubicAtTC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __Pyx_DECREF((PyObject *)__pyx_cur_scope);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_45generator1(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value) /* generator body */
{
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC *__pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC *)__pyx_generator->closure);
  PyObject *__pyx_r = NULL;
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  int __pyx_t_3;
  Py_ssize_t __pyx_t_4;
  PyObject *__pyx_t_5 = NULL;
  size_t __pyx_t_6;
  PyObject *(*__pyx_t_7)(PyObject *);
  double __pyx_t_8;
  PyObject *__pyx_t_9 = NULL;
  PyObject *__pyx_t_10 = NULL;
  PyObject *__pyx_t_11 = NULL;
  PyObject *__pyx_t_12 = NULL;
  PyObject *(*__pyx_t_13)(PyObject *);
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_splitCubicAtTC", 0);
  switch (__pyx_generator->resume_label) {
    case 0: goto __pyx_L3_first_run;
    case 1: goto __pyx_L8_resume_from_yield;
    default: /* CPython raises the right error here */
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __pyx_L3_first_run:;
  if (unlikely(__pyx_sent_value != Py_None)) {
    if (unlikely(__pyx_sent_value)) PyErr_SetString(PyExc_TypeError, "can't send non-None value to a just-started generator");
    __PYX_ERR(0, 770, __pyx_L1_error)
  }

  /* "fontTools/misc/bezierTools.py":786
 * )
 * def _splitCubicAtTC(a, b, c, d, *ts):
 *     ts = list(ts)             # <<<<<<<<<<<<<<
 *     ts.insert(0, 0.0)
 *     ts.append(1.0)
*/
  __pyx_t_1 = PySequence_List(__pyx_cur_scope->__pyx_v_ts); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 786, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_GOTREF(__pyx_cur_scope->__pyx_v_ts);
  __Pyx_DECREF_SET(__pyx_cur_scope->__pyx_v_ts, __pyx_t_1);
  __Pyx_GIVEREF(__pyx_t_1);
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":787
 * def _splitCubicAtTC(a, b, c, d, *ts):
 *     ts = list(ts)
 *     ts.insert(0, 0.0)             # <<<<<<<<<<<<<<
 *     ts.append(1.0)
 *     for i in range(len(ts) - 1):
*/
  __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_cur_scope->__pyx_v_ts, __pyx_mstate_global->__pyx_n_u_insert); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 787, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_mstate_global->__pyx_tuple[0], NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 787, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":788
 *     ts = list(ts)
 *     ts.insert(0, 0.0)
 *     ts.append(1.0)             # <<<<<<<<<<<<<<
 *     for i in range(len(ts) - 1):
 *         t1 = ts[i]
*/
  __pyx_t_3 = __Pyx_PyObject_Append(__pyx_cur_scope->__pyx_v_ts, __pyx_mstate_global->__pyx_float_1_0); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(0, 788, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":789
 *     ts.insert(0, 0.0)
 *     ts.append(1.0)
 *     for i in range(len(ts) - 1):             # <<<<<<<<<<<<<<
 *         t1 = ts[i]
 *         t2 = ts[i + 1]
*/
  __pyx_t_1 = NULL;
  __pyx_t_4 = PyObject_Length(__pyx_cur_scope->__pyx_v_ts); if (unlikely(__pyx_t_4 == ((Py_ssize_t)-1))) __PYX_ERR(0, 789, __pyx_L1_error)
  __pyx_t_5 = PyLong_FromSsize_t((__pyx_t_4 - 1)); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 789, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_6 = 1;
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_1, __pyx_t_5};
    __pyx_t_2 = __Pyx_PyObject_FastCall((PyObject*)(&PyRange_Type), __pyx_callargs+__pyx_t_6, (2-__pyx_t_6) | (__pyx_t_6*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 789, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
  }
  __pyx_t_5 = PyObject_GetIter(__pyx_t_2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 789, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_7 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_5); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 789, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  for (;;) {
    {
      __pyx_t_2 = __pyx_t_7(__pyx_t_5);
      if (unlikely(!__pyx_t_2)) {
        PyObject* exc_type = PyErr_Occurred();
        if (exc_type) {
          if (unlikely(!__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) __PYX_ERR(0, 789, __pyx_L1_error)
          PyErr_Clear();
        }
        break;
      }
    }
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_XGOTREF(__pyx_cur_scope->__pyx_v_i);
    __Pyx_XDECREF_SET(__pyx_cur_scope->__pyx_v_i, __pyx_t_2);
    __Pyx_GIVEREF(__pyx_t_2);
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":790
 *     ts.append(1.0)
 *     for i in range(len(ts) - 1):
 *         t1 = ts[i]             # <<<<<<<<<<<<<<
 *         t2 = ts[i + 1]
 *         delta = t2 - t1
*/
    __pyx_t_2 = __Pyx_PyObject_GetItem(__pyx_cur_scope->__pyx_v_ts, __pyx_cur_scope->__pyx_v_i); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 790, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_8 = __Pyx_PyFloat_AsDouble(__pyx_t_2); if (unlikely((__pyx_t_8 == (double)-1) && PyErr_Occurred())) __PYX_ERR(0, 790, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_cur_scope->__pyx_v_t1 = __pyx_t_8;

    /* "fontTools/misc/bezierTools.py":791
 *     for i in range(len(ts) - 1):
 *         t1 = ts[i]
 *         t2 = ts[i + 1]             # <<<<<<<<<<<<<<
 *         delta = t2 - t1
 * 
*/
    __pyx_t_2 = __Pyx_PyLong_AddObjC(__pyx_cur_scope->__pyx_v_i, __pyx_mstate_global->__pyx_int_1, 1, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 791, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_PyObject_GetItem(__pyx_cur_scope->__pyx_v_ts, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 791, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_8 = __Pyx_PyFloat_AsDouble(__pyx_t_1); if (unlikely((__pyx_t_8 == (double)-1) && PyErr_Occurred())) __PYX_ERR(0, 791, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_cur_scope->__pyx_v_t2 = __pyx_t_8;

    /* "fontTools/misc/bezierTools.py":792
 *         t1 = ts[i]
 *         t2 = ts[i + 1]
 *         delta = t2 - t1             # <<<<<<<<<<<<<<
 * 
 *         delta_2 = delta * delta
*/
    __pyx_cur_scope->__pyx_v_delta = (__pyx_cur_scope->__pyx_v_t2 - __pyx_cur_scope->__pyx_v_t1);

    /* "fontTools/misc/bezierTools.py":794
 *         delta = t2 - t1
 * 
 *         delta_2 = delta * delta             # <<<<<<<<<<<<<<
 *         delta_3 = delta * delta_2
 *         t1_2 = t1 * t1
*/
    __pyx_cur_scope->__pyx_v_delta_2 = (__pyx_cur_scope->__pyx_v_delta * __pyx_cur_scope->__pyx_v_delta);

    /* "fontTools/misc/bezierTools.py":795
 * 
 *         delta_2 = delta * delta
 *         delta_3 = delta * delta_2             # <<<<<<<<<<<<<<
 *         t1_2 = t1 * t1
 *         t1_3 = t1 * t1_2
*/
    __pyx_cur_scope->__pyx_v_delta_3 = (__pyx_cur_scope->__pyx_v_delta * __pyx_cur_scope->__pyx_v_delta_2);

    /* "fontTools/misc/bezierTools.py":796
 *         delta_2 = delta * delta
 *         delta_3 = delta * delta_2
 *         t1_2 = t1 * t1             # <<<<<<<<<<<<<<
 *         t1_3 = t1 * t1_2
 * 
*/
    __pyx_cur_scope->__pyx_v_t1_2 = (__pyx_cur_scope->__pyx_v_t1 * __pyx_cur_scope->__pyx_v_t1);

    /* "fontTools/misc/bezierTools.py":797
 *         delta_3 = delta * delta_2
 *         t1_2 = t1 * t1
 *         t1_3 = t1 * t1_2             # <<<<<<<<<<<<<<
 * 
 *         # calc new a, b, c and d
*/
    __pyx_cur_scope->__pyx_v_t1_3 = (__pyx_cur_scope->__pyx_v_t1 * __pyx_cur_scope->__pyx_v_t1_2);

    /* "fontTools/misc/bezierTools.py":800
 * 
 *         # calc new a, b, c and d
 *         a1 = a * delta_3             # <<<<<<<<<<<<<<
 *         b1 = (3 * a * t1 + b) * delta_2
 *         c1 = (2 * b * t1 + c + 3 * a * t1_2) * delta
*/
    __pyx_cur_scope->__pyx_v_a1 = __Pyx_c_prod_double(__pyx_cur_scope->__pyx_v_a, __pyx_t_double_complex_from_parts(__pyx_cur_scope->__pyx_v_delta_3, 0));

    /* "fontTools/misc/bezierTools.py":801
 *         # calc new a, b, c and d
 *         a1 = a * delta_3
 *         b1 = (3 * a * t1 + b) * delta_2             # <<<<<<<<<<<<<<
 *         c1 = (2 * b * t1 + c + 3 * a * t1_2) * delta
 *         d1 = a * t1_3 + b * t1_2 + c * t1 + d
*/
    __pyx_cur_scope->__pyx_v_b1 = __Pyx_c_prod_double(__Pyx_c_sum_double(__Pyx_c_prod_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts(3, 0), __pyx_cur_scope->__pyx_v_a), __pyx_t_double_complex_from_parts(__pyx_cur_scope->__pyx_v_t1, 0)), __pyx_cur_scope->__pyx_v_b), __pyx_t_double_complex_from_parts(__pyx_cur_scope->__pyx_v_delta_2, 0));

    /* "fontTools/misc/bezierTools.py":802
 *         a1 = a * delta_3
 *         b1 = (3 * a * t1 + b) * delta_2
 *         c1 = (2 * b * t1 + c + 3 * a * t1_2) * delta             # <<<<<<<<<<<<<<
 *         d1 = a * t1_3 + b * t1_2 + c * t1 + d
 *         pt1, pt2, pt3, pt4 = calcCubicPointsC(a1, b1, c1, d1)
*/
    __pyx_cur_scope->__pyx_v_c1 = __Pyx_c_prod_double(__Pyx_c_sum_double(__Pyx_c_sum_double(__Pyx_c_prod_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts(2, 0), __pyx_cur_scope->__pyx_v_b), __pyx_t_double_complex_from_parts(__pyx_cur_scope->__pyx_v_t1, 0)), __pyx_cur_scope->__pyx_v_c), __Pyx_c_prod_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts(3, 0), __pyx_cur_scope->__pyx_v_a), __pyx_t_double_complex_from_parts(__pyx_cur_scope->__pyx_v_t1_2, 0))), __pyx_t_double_complex_from_parts(__pyx_cur_scope->__pyx_v_delta, 0));

    /* "fontTools/misc/bezierTools.py":803
 *         b1 = (3 * a * t1 + b) * delta_2
 *         c1 = (2 * b * t1 + c + 3 * a * t1_2) * delta
 *         d1 = a * t1_3 + b * t1_2 + c * t1 + d             # <<<<<<<<<<<<<<
 *         pt1, pt2, pt3, pt4 = calcCubicPointsC(a1, b1, c1, d1)
 *         yield (pt1, pt2, pt3, pt4)
*/
    __pyx_cur_scope->__pyx_v_d1 = __Pyx_c_sum_double(__Pyx_c_sum_double(__Pyx_c_sum_double(__Pyx_c_prod_double(__pyx_cur_scope->__pyx_v_a, __pyx_t_double_complex_from_parts(__pyx_cur_scope->__pyx_v_t1_3, 0)), __Pyx_c_prod_double(__pyx_cur_scope->__pyx_v_b, __pyx_t_double_complex_from_parts(__pyx_cur_scope->__pyx_v_t1_2, 0))), __Pyx_c_prod_double(__pyx_cur_scope->__pyx_v_c, __pyx_t_double_complex_from_parts(__pyx_cur_scope->__pyx_v_t1, 0))), __pyx_cur_scope->__pyx_v_d);

    /* "fontTools/misc/bezierTools.py":804
 *         c1 = (2 * b * t1 + c + 3 * a * t1_2) * delta
 *         d1 = a * t1_3 + b * t1_2 + c * t1 + d
 *         pt1, pt2, pt3, pt4 = calcCubicPointsC(a1, b1, c1, d1)             # <<<<<<<<<<<<<<
 *         yield (pt1, pt2, pt3, pt4)
 * 
*/
    __pyx_t_1 = __pyx_f_9fontTools_4misc_11bezierTools_calcCubicPointsC(__pyx_cur_scope->__pyx_v_a1, __pyx_cur_scope->__pyx_v_b1, __pyx_cur_scope->__pyx_v_c1, __pyx_cur_scope->__pyx_v_d1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 804, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    if ((likely(PyTuple_CheckExact(__pyx_t_1))) || (PyList_CheckExact(__pyx_t_1))) {
      PyObject* sequence = __pyx_t_1;
      Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
      if (unlikely(size != 4)) {
        if (size > 4) __Pyx_RaiseTooManyValuesError(4);
        else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
        __PYX_ERR(0, 804, __pyx_L1_error)
      }
      #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      if (likely(PyTuple_CheckExact(sequence))) {
        __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0);
        __Pyx_INCREF(__pyx_t_2);
        __pyx_t_9 = PyTuple_GET_ITEM(sequence, 1);
        __Pyx_INCREF(__pyx_t_9);
        __pyx_t_10 = PyTuple_GET_ITEM(sequence, 2);
        __Pyx_INCREF(__pyx_t_10);
        __pyx_t_11 = PyTuple_GET_ITEM(sequence, 3);
        __Pyx_INCREF(__pyx_t_11);
      } else {
        __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
        if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 804, __pyx_L1_error)
        __Pyx_XGOTREF(__pyx_t_2);
        __pyx_t_9 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
        if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 804, __pyx_L1_error)
        __Pyx_XGOTREF(__pyx_t_9);
        __pyx_t_10 = __Pyx_PyList_GetItemRefFast(sequence, 2, __Pyx_ReferenceSharing_SharedReference);
        if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 804, __pyx_L1_error)
        __Pyx_XGOTREF(__pyx_t_10);
        __pyx_t_11 = __Pyx_PyList_GetItemRefFast(sequence, 3, __Pyx_ReferenceSharing_SharedReference);
        if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 804, __pyx_L1_error)
        __Pyx_XGOTREF(__pyx_t_11);
      }
      #else
      {
        Py_ssize_t i;
        PyObject** temps[4] = {&__pyx_t_2,&__pyx_t_9,&__pyx_t_10,&__pyx_t_11};
        for (i=0; i < 4; i++) {
          PyObject* item = __Pyx_PySequence_ITEM(sequence, i); if (unlikely(!item)) __PYX_ERR(0, 804, __pyx_L1_error)
          __Pyx_GOTREF(item);
          *(temps[i]) = item;
        }
      }
      #endif
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    } else {
      Py_ssize_t index = -1;
      PyObject** temps[4] = {&__pyx_t_2,&__pyx_t_9,&__pyx_t_10,&__pyx_t_11};
      __pyx_t_12 = PyObject_GetIter(__pyx_t_1); if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 804, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_12);
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      __pyx_t_13 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_12);
      for (index=0; index < 4; index++) {
        PyObject* item = __pyx_t_13(__pyx_t_12); if (unlikely(!item)) goto __pyx_L6_unpacking_failed;
        __Pyx_GOTREF(item);
        *(temps[index]) = item;
      }
      if (__Pyx_IternextUnpackEndCheck(__pyx_t_13(__pyx_t_12), 4) < (0)) __PYX_ERR(0, 804, __pyx_L1_error)
      __pyx_t_13 = NULL;
      __Pyx_DECREF(__pyx_t_12); __pyx_t_12 = 0;
      goto __pyx_L7_unpacking_done;
      __pyx_L6_unpacking_failed:;
      __Pyx_DECREF(__pyx_t_12); __pyx_t_12 = 0;
      __pyx_t_13 = NULL;
      if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
      __PYX_ERR(0, 804, __pyx_L1_error)
      __pyx_L7_unpacking_done:;
    }
    __Pyx_XGOTREF(__pyx_cur_scope->__pyx_v_pt1);
    __Pyx_XDECREF_SET(__pyx_cur_scope->__pyx_v_pt1, __pyx_t_2);
    __Pyx_GIVEREF(__pyx_t_2);
    __pyx_t_2 = 0;
    __Pyx_XGOTREF(__pyx_cur_scope->__pyx_v_pt2);
    __Pyx_XDECREF_SET(__pyx_cur_scope->__pyx_v_pt2, __pyx_t_9);
    __Pyx_GIVEREF(__pyx_t_9);
    __pyx_t_9 = 0;
    __Pyx_XGOTREF(__pyx_cur_scope->__pyx_v_pt3);
    __Pyx_XDECREF_SET(__pyx_cur_scope->__pyx_v_pt3, __pyx_t_10);
    __Pyx_GIVEREF(__pyx_t_10);
    __pyx_t_10 = 0;
    __Pyx_XGOTREF(__pyx_cur_scope->__pyx_v_pt4);
    __Pyx_XDECREF_SET(__pyx_cur_scope->__pyx_v_pt4, __pyx_t_11);
    __Pyx_GIVEREF(__pyx_t_11);
    __pyx_t_11 = 0;

    /* "fontTools/misc/bezierTools.py":805
 *         d1 = a * t1_3 + b * t1_2 + c * t1 + d
 *         pt1, pt2, pt3, pt4 = calcCubicPointsC(a1, b1, c1, d1)
 *         yield (pt1, pt2, pt3, pt4)             # <<<<<<<<<<<<<<
 * 
 * 
*/
    __pyx_t_1 = PyTuple_New(4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 805, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_cur_scope->__pyx_v_pt1);
    __Pyx_GIVEREF(__pyx_cur_scope->__pyx_v_pt1);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_cur_scope->__pyx_v_pt1) != (0)) __PYX_ERR(0, 805, __pyx_L1_error);
    __Pyx_INCREF(__pyx_cur_scope->__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_cur_scope->__pyx_v_pt2);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_cur_scope->__pyx_v_pt2) != (0)) __PYX_ERR(0, 805, __pyx_L1_error);
    __Pyx_INCREF(__pyx_cur_scope->__pyx_v_pt3);
    __Pyx_GIVEREF(__pyx_cur_scope->__pyx_v_pt3);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 2, __pyx_cur_scope->__pyx_v_pt3) != (0)) __PYX_ERR(0, 805, __pyx_L1_error);
    __Pyx_INCREF(__pyx_cur_scope->__pyx_v_pt4);
    __Pyx_GIVEREF(__pyx_cur_scope->__pyx_v_pt4);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 3, __pyx_cur_scope->__pyx_v_pt4) != (0)) __PYX_ERR(0, 805, __pyx_L1_error);
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    __Pyx_XGIVEREF(__pyx_t_5);
    __pyx_cur_scope->__pyx_t_0 = __pyx_t_5;
    __pyx_cur_scope->__pyx_t_1 = __pyx_t_7;
    __Pyx_XGIVEREF(__pyx_r);
    __Pyx_RefNannyFinishContext();
    __Pyx_Coroutine_ResetAndClearException(__pyx_generator);
    /* return from generator, yielding value */
    __pyx_generator->resume_label = 1;
    return __pyx_r;
    __pyx_L8_resume_from_yield:;
    __pyx_t_5 = __pyx_cur_scope->__pyx_t_0;
    __pyx_cur_scope->__pyx_t_0 = 0;
    __Pyx_XGOTREF(__pyx_t_5);
    __pyx_t_7 = __pyx_cur_scope->__pyx_t_1;
    if (unlikely(!__pyx_sent_value)) __PYX_ERR(0, 805, __pyx_L1_error)

    /* "fontTools/misc/bezierTools.py":789
 *     ts.insert(0, 0.0)
 *     ts.append(1.0)
 *     for i in range(len(ts) - 1):             # <<<<<<<<<<<<<<
 *         t1 = ts[i]
 *         t2 = ts[i + 1]
*/
  }
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  CYTHON_MAYBE_UNUSED_VAR(__pyx_cur_scope);

  /* "fontTools/misc/bezierTools.py":770
 * 
 * 
 * @cython.locals(             # <<<<<<<<<<<<<<
 *     a=cython.complex,
 *     b=cython.complex,
*/

  /* function exit code */
  __pyx_r = Py_None; __Pyx_INCREF(Py_None);
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_9);
  __Pyx_XDECREF(__pyx_t_10);
  __Pyx_XDECREF(__pyx_t_11);
  __Pyx_XDECREF(__pyx_t_12);
  if (__Pyx_PyErr_Occurred()) {
    __Pyx_Generator_Replace_StopIteration(0);
    __Pyx_AddTraceback("_splitCubicAtTC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  }
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  #if !CYTHON_USE_EXC_INFO_STACK
  __Pyx_Coroutine_ResetAndClearException(__pyx_generator);
  #endif
  __pyx_generator->resume_label = -1;
  __Pyx_Coroutine_clear((PyObject*)__pyx_generator);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":815
 * 
 * 
 * def solveQuadratic(a, b, c, sqrt=sqrt):             # <<<<<<<<<<<<<<
 *     """Solve a quadratic equation.
 * 
*/

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_96__defaults__(CYTHON_UNUSED PyObject *__pyx_self) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("__defaults__", 0);
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyTuple_New(1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 815, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__Pyx_CyFunction_Defaults(struct __pyx_defaults, __pyx_self)->arg0);
  __Pyx_GIVEREF(__Pyx_CyFunction_Defaults(struct __pyx_defaults, __pyx_self)->arg0);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __Pyx_CyFunction_Defaults(struct __pyx_defaults, __pyx_self)->arg0) != (0)) __PYX_ERR(0, 815, __pyx_L1_error);
  __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 815, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_1) != (0)) __PYX_ERR(0, 815, __pyx_L1_error);
  __Pyx_INCREF(Py_None);
  __Pyx_GIVEREF(Py_None);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, Py_None) != (0)) __PYX_ERR(0, 815, __pyx_L1_error);
  __pyx_t_1 = 0;
  __pyx_r = __pyx_t_2;
  __pyx_t_2 = 0;
  goto __pyx_L0;

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.__defaults__", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_47solveQuadratic(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_46solveQuadratic, "solveQuadratic(a, b, c, sqrt=sqrt)\n\nSolve a quadratic equation.\n\nSolves *a*x*x + b*x + c = 0* where a, b and c are real.\n\nArgs:\n    a: coefficient of *x\302\262*\n    b: coefficient of *x*\n    c: constant term\n\nReturns:\n    A list of roots. Note that the returned list is neither guaranteed to\n    be sorted nor to contain unique values!");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_47solveQuadratic = {"solveQuadratic", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_47solveQuadratic, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_46solveQuadratic};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_47solveQuadratic(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_a = 0;
  PyObject *__pyx_v_b = 0;
  PyObject *__pyx_v_c = 0;
  PyObject *__pyx_v_sqrt = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("solveQuadratic (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_a,&__pyx_mstate_global->__pyx_n_u_b,&__pyx_mstate_global->__pyx_n_u_c,&__pyx_mstate_global->__pyx_n_u_sqrt,0};
    struct __pyx_defaults *__pyx_dynamic_args = __Pyx_CyFunction_Defaults(struct __pyx_defaults, __pyx_self);
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 815, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 815, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 815, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 815, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 815, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "solveQuadratic", 0) < (0)) __PYX_ERR(0, 815, __pyx_L3_error)
      if (!values[3]) values[3] = __Pyx_NewRef(__pyx_dynamic_args->arg0);
      for (Py_ssize_t i = __pyx_nargs; i < 3; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("solveQuadratic", 0, 3, 4, i); __PYX_ERR(0, 815, __pyx_L3_error) }
      }
    } else {
      switch (__pyx_nargs) {
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 815, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 815, __pyx_L3_error)
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 815, __pyx_L3_error)
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 815, __pyx_L3_error)
        break;
        default: goto __pyx_L5_argtuple_error;
      }
      if (!values[3]) values[3] = __Pyx_NewRef(__pyx_dynamic_args->arg0);
    }
    __pyx_v_a = values[0];
    __pyx_v_b = values[1];
    __pyx_v_c = values[2];
    __pyx_v_sqrt = values[3];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("solveQuadratic", 0, 3, 4, __pyx_nargs); __PYX_ERR(0, 815, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.solveQuadratic", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_46solveQuadratic(__pyx_self, __pyx_v_a, __pyx_v_b, __pyx_v_c, __pyx_v_sqrt);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_46solveQuadratic(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_sqrt) {
  PyObject *__pyx_v_roots = NULL;
  PyObject *__pyx_v_DD = NULL;
  PyObject *__pyx_v_rDD = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  int __pyx_t_4;
  size_t __pyx_t_5;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("solveQuadratic", 0);

  /* "fontTools/misc/bezierTools.py":829
 *         be sorted nor to contain unique values!
 *     """
 *     if abs(a) < epsilon:             # <<<<<<<<<<<<<<
 *         if abs(b) < epsilon:
 *             # We have a non-equation; therefore, we have no valid solution
*/
  __pyx_t_1 = __Pyx_PyNumber_Absolute(__pyx_v_a); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 829, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_epsilon); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 829, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyObject_RichCompare(__pyx_t_1, __pyx_t_2, Py_LT); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 829, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 829, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  if (__pyx_t_4) {

    /* "fontTools/misc/bezierTools.py":830
 *     """
 *     if abs(a) < epsilon:
 *         if abs(b) < epsilon:             # <<<<<<<<<<<<<<
 *             # We have a non-equation; therefore, we have no valid solution
 *             roots = []
*/
    __pyx_t_3 = __Pyx_PyNumber_Absolute(__pyx_v_b); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 830, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_epsilon); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 830, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PyObject_RichCompare(__pyx_t_3, __pyx_t_2, Py_LT); __Pyx_XGOTREF(__pyx_t_1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 830, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 830, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (__pyx_t_4) {

      /* "fontTools/misc/bezierTools.py":832
 *         if abs(b) < epsilon:
 *             # We have a non-equation; therefore, we have no valid solution
 *             roots = []             # <<<<<<<<<<<<<<
 *         else:
 *             # We have a linear equation with 1 root.
*/
      __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 832, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __pyx_v_roots = ((PyObject*)__pyx_t_1);
      __pyx_t_1 = 0;

      /* "fontTools/misc/bezierTools.py":830
 *     """
 *     if abs(a) < epsilon:
 *         if abs(b) < epsilon:             # <<<<<<<<<<<<<<
 *             # We have a non-equation; therefore, we have no valid solution
 *             roots = []
*/
      goto __pyx_L4;
    }

    /* "fontTools/misc/bezierTools.py":835
 *         else:
 *             # We have a linear equation with 1 root.
 *             roots = [-c / b]             # <<<<<<<<<<<<<<
 *     else:
 *         # We have a true quadratic equation.  Apply the quadratic formula to find two roots.
*/
    /*else*/ {
      __pyx_t_1 = PyNumber_Negative(__pyx_v_c); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 835, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __pyx_t_2 = __Pyx_PyNumber_Divide(__pyx_t_1, __pyx_v_b); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 835, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      __pyx_t_1 = PyList_New(1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 835, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_GIVEREF(__pyx_t_2);
      if (__Pyx_PyList_SET_ITEM(__pyx_t_1, 0, __pyx_t_2) != (0)) __PYX_ERR(0, 835, __pyx_L1_error);
      __pyx_t_2 = 0;
      __pyx_v_roots = ((PyObject*)__pyx_t_1);
      __pyx_t_1 = 0;
    }
    __pyx_L4:;

    /* "fontTools/misc/bezierTools.py":829
 *         be sorted nor to contain unique values!
 *     """
 *     if abs(a) < epsilon:             # <<<<<<<<<<<<<<
 *         if abs(b) < epsilon:
 *             # We have a non-equation; therefore, we have no valid solution
*/
    goto __pyx_L3;
  }

  /* "fontTools/misc/bezierTools.py":838
 *     else:
 *         # We have a true quadratic equation.  Apply the quadratic formula to find two roots.
 *         DD = b * b - 4.0 * a * c             # <<<<<<<<<<<<<<
 *         if DD >= 0.0:
 *             rDD = sqrt(DD)
*/
  /*else*/ {
    __pyx_t_1 = PyNumber_Multiply(__pyx_v_b, __pyx_v_b); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 838, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PyNumber_Multiply(__pyx_mstate_global->__pyx_float_4_0, __pyx_v_a); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 838, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_3 = PyNumber_Multiply(__pyx_t_2, __pyx_v_c); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 838, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = PyNumber_Subtract(__pyx_t_1, __pyx_t_3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 838, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_v_DD = __pyx_t_2;
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":839
 *         # We have a true quadratic equation.  Apply the quadratic formula to find two roots.
 *         DD = b * b - 4.0 * a * c
 *         if DD >= 0.0:             # <<<<<<<<<<<<<<
 *             rDD = sqrt(DD)
 *             roots = [(-b + rDD) / 2.0 / a, (-b - rDD) / 2.0 / a]
*/
    __pyx_t_2 = PyObject_RichCompare(__pyx_v_DD, __pyx_mstate_global->__pyx_float_0_0, Py_GE); __Pyx_XGOTREF(__pyx_t_2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 839, __pyx_L1_error)
    __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_2); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 839, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (__pyx_t_4) {

      /* "fontTools/misc/bezierTools.py":840
 *         DD = b * b - 4.0 * a * c
 *         if DD >= 0.0:
 *             rDD = sqrt(DD)             # <<<<<<<<<<<<<<
 *             roots = [(-b + rDD) / 2.0 / a, (-b - rDD) / 2.0 / a]
 *         else:
*/
      __pyx_t_3 = NULL;
      __Pyx_INCREF(__pyx_v_sqrt);
      __pyx_t_1 = __pyx_v_sqrt; 
      __pyx_t_5 = 1;
      #if CYTHON_UNPACK_METHODS
      if (unlikely(PyMethod_Check(__pyx_t_1))) {
        __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_1);
        assert(__pyx_t_3);
        PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_1);
        __Pyx_INCREF(__pyx_t_3);
        __Pyx_INCREF(__pyx__function);
        __Pyx_DECREF_SET(__pyx_t_1, __pyx__function);
        __pyx_t_5 = 0;
      }
      #endif
      {
        PyObject *__pyx_callargs[2] = {__pyx_t_3, __pyx_v_DD};
        __pyx_t_2 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_1, __pyx_callargs+__pyx_t_5, (2-__pyx_t_5) | (__pyx_t_5*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
        __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
        __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
        if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 840, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_2);
      }
      __pyx_v_rDD = __pyx_t_2;
      __pyx_t_2 = 0;

      /* "fontTools/misc/bezierTools.py":841
 *         if DD >= 0.0:
 *             rDD = sqrt(DD)
 *             roots = [(-b + rDD) / 2.0 / a, (-b - rDD) / 2.0 / a]             # <<<<<<<<<<<<<<
 *         else:
 *             # complex roots, ignore
*/
      __pyx_t_2 = PyNumber_Negative(__pyx_v_b); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 841, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __pyx_t_1 = PyNumber_Add(__pyx_t_2, __pyx_v_rDD); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 841, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __pyx_t_2 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_1, __pyx_mstate_global->__pyx_float_2_0, 2.0, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 841, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      __pyx_t_1 = __Pyx_PyNumber_Divide(__pyx_t_2, __pyx_v_a); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 841, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __pyx_t_2 = PyNumber_Negative(__pyx_v_b); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 841, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __pyx_t_3 = PyNumber_Subtract(__pyx_t_2, __pyx_v_rDD); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 841, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __pyx_t_2 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_3, __pyx_mstate_global->__pyx_float_2_0, 2.0, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 841, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_3 = __Pyx_PyNumber_Divide(__pyx_t_2, __pyx_v_a); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 841, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __pyx_t_2 = PyList_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 841, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_GIVEREF(__pyx_t_1);
      if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 0, __pyx_t_1) != (0)) __PYX_ERR(0, 841, __pyx_L1_error);
      __Pyx_GIVEREF(__pyx_t_3);
      if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 1, __pyx_t_3) != (0)) __PYX_ERR(0, 841, __pyx_L1_error);
      __pyx_t_1 = 0;
      __pyx_t_3 = 0;
      __pyx_v_roots = ((PyObject*)__pyx_t_2);
      __pyx_t_2 = 0;

      /* "fontTools/misc/bezierTools.py":839
 *         # We have a true quadratic equation.  Apply the quadratic formula to find two roots.
 *         DD = b * b - 4.0 * a * c
 *         if DD >= 0.0:             # <<<<<<<<<<<<<<
 *             rDD = sqrt(DD)
 *             roots = [(-b + rDD) / 2.0 / a, (-b - rDD) / 2.0 / a]
*/
      goto __pyx_L5;
    }

    /* "fontTools/misc/bezierTools.py":844
 *         else:
 *             # complex roots, ignore
 *             roots = []             # <<<<<<<<<<<<<<
 *     return roots
 * 
*/
    /*else*/ {
      __pyx_t_2 = PyList_New(0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 844, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __pyx_v_roots = ((PyObject*)__pyx_t_2);
      __pyx_t_2 = 0;
    }
    __pyx_L5:;
  }
  __pyx_L3:;

  /* "fontTools/misc/bezierTools.py":845
 *             # complex roots, ignore
 *             roots = []
 *     return roots             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __Pyx_INCREF(__pyx_v_roots);
  __pyx_r = __pyx_v_roots;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":815
 * 
 * 
 * def solveQuadratic(a, b, c, sqrt=sqrt):             # <<<<<<<<<<<<<<
 *     """Solve a quadratic equation.
 * 
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.solveQuadratic", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_roots);
  __Pyx_XDECREF(__pyx_v_DD);
  __Pyx_XDECREF(__pyx_v_rDD);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":848
 * 
 * 
 * def solveCubic(a, b, c, d):             # <<<<<<<<<<<<<<
 *     """Solve a cubic equation.
 * 
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_49solveCubic(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_48solveCubic, "solveCubic(a, b, c, d)\n\nSolve a cubic equation.\n\nSolves *a*x*x*x + b*x*x + c*x + d = 0* where a, b, c and d are real.\n\nArgs:\n    a: coefficient of *x\302\263*\n    b: coefficient of *x\302\262*\n    c: coefficient of *x*\n    d: constant term\n\nReturns:\n    A list of roots. Note that the returned list is neither guaranteed to\n    be sorted nor to contain unique values!\n\nExamples::\n\n    >>> solveCubic(1, 1, -6, 0)\n    [-3.0, -0.0, 2.0]\n    >>> solveCubic(-10.0, -9.0, 48.0, -29.0)\n    [-2.9, 1.0, 1.0]\n    >>> solveCubic(-9.875, -9.0, 47.625, -28.75)\n    [-2.911392, 1.0, 1.0]\n    >>> solveCubic(1.0, -4.5, 6.75, -3.375)\n    [1.5, 1.5, 1.5]\n    >>> solveCubic(-12.0, 18.0, -9.0, 1.50023651123)\n    [0.5, 0.5, 0.5]\n    >>> solveCubic(\n    ...     9.0, 0.0, 0.0, -7.62939453125e-05\n    ... ) == [-0.0, -0.0, -0.0]\n    True");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_49solveCubic = {"solveCubic", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_49solveCubic, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_48solveCubic};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_49solveCubic(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_a = 0;
  PyObject *__pyx_v_b = 0;
  PyObject *__pyx_v_c = 0;
  PyObject *__pyx_v_d = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("solveCubic (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_a,&__pyx_mstate_global->__pyx_n_u_b,&__pyx_mstate_global->__pyx_n_u_c,&__pyx_mstate_global->__pyx_n_u_d,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 848, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 848, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 848, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 848, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 848, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "solveCubic", 0) < (0)) __PYX_ERR(0, 848, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 4; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("solveCubic", 1, 4, 4, i); __PYX_ERR(0, 848, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 848, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 848, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 848, __pyx_L3_error)
      values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 848, __pyx_L3_error)
    }
    __pyx_v_a = values[0];
    __pyx_v_b = values[1];
    __pyx_v_c = values[2];
    __pyx_v_d = values[3];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("solveCubic", 1, 4, 4, __pyx_nargs); __PYX_ERR(0, 848, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.solveCubic", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_48solveCubic(__pyx_self, __pyx_v_a, __pyx_v_b, __pyx_v_c, __pyx_v_d);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_48solveCubic(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_d) {
  PyObject *__pyx_v_a1 = NULL;
  PyObject *__pyx_v_a2 = NULL;
  PyObject *__pyx_v_a3 = NULL;
  PyObject *__pyx_v_Q = NULL;
  PyObject *__pyx_v_R = NULL;
  PyObject *__pyx_v_R2 = NULL;
  PyObject *__pyx_v_Q3 = NULL;
  PyObject *__pyx_v_R2_Q3 = NULL;
  PyObject *__pyx_v_x = NULL;
  PyObject *__pyx_v_theta = NULL;
  PyObject *__pyx_v_rQ2 = NULL;
  PyObject *__pyx_v_a1_3 = NULL;
  PyObject *__pyx_v_x0 = NULL;
  PyObject *__pyx_v_x1 = NULL;
  PyObject *__pyx_v_x2 = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  int __pyx_t_4;
  size_t __pyx_t_5;
  PyObject *__pyx_t_6 = NULL;
  int __pyx_t_7;
  double __pyx_t_8;
  double __pyx_t_9;
  PyObject *__pyx_t_10 = NULL;
  PyObject *__pyx_t_11 = NULL;
  PyObject *__pyx_t_12 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("solveCubic", 0);
  __Pyx_INCREF(__pyx_v_a);

  /* "fontTools/misc/bezierTools.py":886
 *     # found at: http://www.strangecreations.com/library/snippets/Cubic.C
 *     #
 *     if abs(a) < epsilon:             # <<<<<<<<<<<<<<
 *         # don't just test for zero; for very small values of 'a' solveCubic()
 *         # returns unreliable results, so we fall back to quad.
*/
  __pyx_t_1 = __Pyx_PyNumber_Absolute(__pyx_v_a); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 886, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_epsilon); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 886, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyObject_RichCompare(__pyx_t_1, __pyx_t_2, Py_LT); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 886, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 886, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  if (__pyx_t_4) {

    /* "fontTools/misc/bezierTools.py":889
 *         # don't just test for zero; for very small values of 'a' solveCubic()
 *         # returns unreliable results, so we fall back to quad.
 *         return solveQuadratic(b, c, d)             # <<<<<<<<<<<<<<
 *     a = float(a)
 *     a1 = b / a
*/
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_2 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_mstate_global->__pyx_n_u_solveQuadratic); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 889, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_5 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_1))) {
      __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_1);
      assert(__pyx_t_2);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_1);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_1, __pyx__function);
      __pyx_t_5 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[4] = {__pyx_t_2, __pyx_v_b, __pyx_v_c, __pyx_v_d};
      __pyx_t_3 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_1, __pyx_callargs+__pyx_t_5, (4-__pyx_t_5) | (__pyx_t_5*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 889, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
    }
    __pyx_r = __pyx_t_3;
    __pyx_t_3 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":886
 *     # found at: http://www.strangecreations.com/library/snippets/Cubic.C
 *     #
 *     if abs(a) < epsilon:             # <<<<<<<<<<<<<<
 *         # don't just test for zero; for very small values of 'a' solveCubic()
 *         # returns unreliable results, so we fall back to quad.
*/
  }

  /* "fontTools/misc/bezierTools.py":890
 *         # returns unreliable results, so we fall back to quad.
 *         return solveQuadratic(b, c, d)
 *     a = float(a)             # <<<<<<<<<<<<<<
 *     a1 = b / a
 *     a2 = c / a
*/
  __pyx_t_3 = __Pyx_PyNumber_Float(__pyx_v_a); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 890, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF_SET(__pyx_v_a, __pyx_t_3);
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":891
 *         return solveQuadratic(b, c, d)
 *     a = float(a)
 *     a1 = b / a             # <<<<<<<<<<<<<<
 *     a2 = c / a
 *     a3 = d / a
*/
  __pyx_t_3 = __Pyx_PyNumber_Divide(__pyx_v_b, __pyx_v_a); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 891, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_v_a1 = __pyx_t_3;
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":892
 *     a = float(a)
 *     a1 = b / a
 *     a2 = c / a             # <<<<<<<<<<<<<<
 *     a3 = d / a
 * 
*/
  __pyx_t_3 = __Pyx_PyNumber_Divide(__pyx_v_c, __pyx_v_a); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 892, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_v_a2 = __pyx_t_3;
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":893
 *     a1 = b / a
 *     a2 = c / a
 *     a3 = d / a             # <<<<<<<<<<<<<<
 * 
 *     Q = (a1 * a1 - 3.0 * a2) / 9.0
*/
  __pyx_t_3 = __Pyx_PyNumber_Divide(__pyx_v_d, __pyx_v_a); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 893, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_v_a3 = __pyx_t_3;
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":895
 *     a3 = d / a
 * 
 *     Q = (a1 * a1 - 3.0 * a2) / 9.0             # <<<<<<<<<<<<<<
 *     R = (2.0 * a1 * a1 * a1 - 9.0 * a1 * a2 + 27.0 * a3) / 54.0
 * 
*/
  __pyx_t_3 = PyNumber_Multiply(__pyx_v_a1, __pyx_v_a1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 895, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_1 = PyNumber_Multiply(__pyx_mstate_global->__pyx_float_3_0, __pyx_v_a2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 895, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Subtract(__pyx_t_3, __pyx_t_1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 895, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_2, __pyx_mstate_global->__pyx_float_9_0, 9.0, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 895, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_Q = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":896
 * 
 *     Q = (a1 * a1 - 3.0 * a2) / 9.0
 *     R = (2.0 * a1 * a1 * a1 - 9.0 * a1 * a2 + 27.0 * a3) / 54.0             # <<<<<<<<<<<<<<
 * 
 *     R2 = R * R
*/
  __pyx_t_1 = PyNumber_Multiply(__pyx_mstate_global->__pyx_float_2_0, __pyx_v_a1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 896, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Multiply(__pyx_t_1, __pyx_v_a1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 896, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Multiply(__pyx_t_2, __pyx_v_a1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 896, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Multiply(__pyx_mstate_global->__pyx_float_9_0, __pyx_v_a1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 896, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyNumber_Multiply(__pyx_t_2, __pyx_v_a2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 896, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Subtract(__pyx_t_1, __pyx_t_3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 896, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = PyNumber_Multiply(__pyx_mstate_global->__pyx_float_27_0, __pyx_v_a3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 896, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_1 = PyNumber_Add(__pyx_t_2, __pyx_t_3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 896, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_1, __pyx_mstate_global->__pyx_float_54_0, 54.0, 0, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 896, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_v_R = __pyx_t_3;
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":898
 *     R = (2.0 * a1 * a1 * a1 - 9.0 * a1 * a2 + 27.0 * a3) / 54.0
 * 
 *     R2 = R * R             # <<<<<<<<<<<<<<
 *     Q3 = Q * Q * Q
 *     R2 = 0 if R2 < epsilon else R2
*/
  __pyx_t_3 = PyNumber_Multiply(__pyx_v_R, __pyx_v_R); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 898, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_v_R2 = __pyx_t_3;
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":899
 * 
 *     R2 = R * R
 *     Q3 = Q * Q * Q             # <<<<<<<<<<<<<<
 *     R2 = 0 if R2 < epsilon else R2
 *     Q3 = 0 if abs(Q3) < epsilon else Q3
*/
  __pyx_t_3 = PyNumber_Multiply(__pyx_v_Q, __pyx_v_Q); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 899, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_1 = PyNumber_Multiply(__pyx_t_3, __pyx_v_Q); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 899, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_v_Q3 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":900
 *     R2 = R * R
 *     Q3 = Q * Q * Q
 *     R2 = 0 if R2 < epsilon else R2             # <<<<<<<<<<<<<<
 *     Q3 = 0 if abs(Q3) < epsilon else Q3
 * 
*/
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_epsilon); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 900, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = PyObject_RichCompare(__pyx_v_R2, __pyx_t_3, Py_LT); __Pyx_XGOTREF(__pyx_t_2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 900, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_2); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 900, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  if (__pyx_t_4) {
    __Pyx_INCREF(__pyx_mstate_global->__pyx_int_0);
    __pyx_t_1 = __pyx_mstate_global->__pyx_int_0;
  } else {
    __Pyx_INCREF(__pyx_v_R2);
    __pyx_t_1 = __pyx_v_R2;
  }
  __Pyx_DECREF_SET(__pyx_v_R2, __pyx_t_1);
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":901
 *     Q3 = Q * Q * Q
 *     R2 = 0 if R2 < epsilon else R2
 *     Q3 = 0 if abs(Q3) < epsilon else Q3             # <<<<<<<<<<<<<<
 * 
 *     R2_Q3 = R2 - Q3
*/
  __pyx_t_2 = __Pyx_PyNumber_Absolute(__pyx_v_Q3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 901, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_epsilon); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 901, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_6 = PyObject_RichCompare(__pyx_t_2, __pyx_t_3, Py_LT); __Pyx_XGOTREF(__pyx_t_6); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 901, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_6); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 901, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  if (__pyx_t_4) {
    __Pyx_INCREF(__pyx_mstate_global->__pyx_int_0);
    __pyx_t_1 = __pyx_mstate_global->__pyx_int_0;
  } else {
    __Pyx_INCREF(__pyx_v_Q3);
    __pyx_t_1 = __pyx_v_Q3;
  }
  __Pyx_DECREF_SET(__pyx_v_Q3, __pyx_t_1);
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":903
 *     Q3 = 0 if abs(Q3) < epsilon else Q3
 * 
 *     R2_Q3 = R2 - Q3             # <<<<<<<<<<<<<<
 * 
 *     if R2 == 0.0 and Q3 == 0.0:
*/
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_R2, __pyx_v_Q3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 903, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_R2_Q3 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":905
 *     R2_Q3 = R2 - Q3
 * 
 *     if R2 == 0.0 and Q3 == 0.0:             # <<<<<<<<<<<<<<
 *         x = round(-a1 / 3.0, epsilonDigits)
 *         return [x, x, x]
*/
  __pyx_t_7 = (__Pyx_PyFloat_BoolEqObjC(__pyx_v_R2, __pyx_mstate_global->__pyx_float_0_0, 0.0, 0, 0)); if (unlikely((__pyx_t_7 < 0))) __PYX_ERR(0, 905, __pyx_L1_error)
  if (__pyx_t_7) {
  } else {
    __pyx_t_4 = __pyx_t_7;
    goto __pyx_L5_bool_binop_done;
  }
  __pyx_t_7 = (__Pyx_PyFloat_BoolEqObjC(__pyx_v_Q3, __pyx_mstate_global->__pyx_float_0_0, 0.0, 0, 0)); if (unlikely((__pyx_t_7 < 0))) __PYX_ERR(0, 905, __pyx_L1_error)
  __pyx_t_4 = __pyx_t_7;
  __pyx_L5_bool_binop_done:;
  if (__pyx_t_4) {

    /* "fontTools/misc/bezierTools.py":906
 * 
 *     if R2 == 0.0 and Q3 == 0.0:
 *         x = round(-a1 / 3.0, epsilonDigits)             # <<<<<<<<<<<<<<
 *         return [x, x, x]
 *     elif R2_Q3 <= epsilon * 0.5:
*/
    __pyx_t_6 = NULL;
    __pyx_t_3 = PyNumber_Negative(__pyx_v_a1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 906, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_2 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_3, __pyx_mstate_global->__pyx_float_3_0, 3.0, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 906, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_epsilonDigits); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 906, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_5 = 1;
    {
      PyObject *__pyx_callargs[3] = {__pyx_t_6, __pyx_t_2, __pyx_t_3};
      __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_builtin_round, __pyx_callargs+__pyx_t_5, (3-__pyx_t_5) | (__pyx_t_5*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 906, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
    }
    __pyx_v_x = __pyx_t_1;
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":907
 *     if R2 == 0.0 and Q3 == 0.0:
 *         x = round(-a1 / 3.0, epsilonDigits)
 *         return [x, x, x]             # <<<<<<<<<<<<<<
 *     elif R2_Q3 <= epsilon * 0.5:
 *         # The epsilon * .5 above ensures that Q3 is not zero.
*/
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_1 = PyList_New(3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 907, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_v_x);
    __Pyx_GIVEREF(__pyx_v_x);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_1, 0, __pyx_v_x) != (0)) __PYX_ERR(0, 907, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_x);
    __Pyx_GIVEREF(__pyx_v_x);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_1, 1, __pyx_v_x) != (0)) __PYX_ERR(0, 907, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_x);
    __Pyx_GIVEREF(__pyx_v_x);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_1, 2, __pyx_v_x) != (0)) __PYX_ERR(0, 907, __pyx_L1_error);
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":905
 *     R2_Q3 = R2 - Q3
 * 
 *     if R2 == 0.0 and Q3 == 0.0:             # <<<<<<<<<<<<<<
 *         x = round(-a1 / 3.0, epsilonDigits)
 *         return [x, x, x]
*/
  }

  /* "fontTools/misc/bezierTools.py":908
 *         x = round(-a1 / 3.0, epsilonDigits)
 *         return [x, x, x]
 *     elif R2_Q3 <= epsilon * 0.5:             # <<<<<<<<<<<<<<
 *         # The epsilon * .5 above ensures that Q3 is not zero.
 *         theta = acos(max(min(R / sqrt(Q3), 1.0), -1.0))
*/
  __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_mstate_global->__pyx_n_u_epsilon); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 908, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = PyNumber_Multiply(__pyx_t_1, __pyx_mstate_global->__pyx_float_0_5); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 908, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyObject_RichCompare(__pyx_v_R2_Q3, __pyx_t_3, Py_LE); __Pyx_XGOTREF(__pyx_t_1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 908, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 908, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_4) {

    /* "fontTools/misc/bezierTools.py":910
 *     elif R2_Q3 <= epsilon * 0.5:
 *         # The epsilon * .5 above ensures that Q3 is not zero.
 *         theta = acos(max(min(R / sqrt(Q3), 1.0), -1.0))             # <<<<<<<<<<<<<<
 *         rQ2 = -2.0 * sqrt(Q)
 *         a1_3 = a1 / 3.0
*/
    __pyx_t_3 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_acos); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 910, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_8 = -1.0;
    __pyx_t_9 = 1.0;
    __pyx_t_10 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_11, __pyx_mstate_global->__pyx_n_u_sqrt); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 910, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_11);
    __pyx_t_5 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_11))) {
      __pyx_t_10 = PyMethod_GET_SELF(__pyx_t_11);
      assert(__pyx_t_10);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_11);
      __Pyx_INCREF(__pyx_t_10);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_11, __pyx__function);
      __pyx_t_5 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_10, __pyx_v_Q3};
      __pyx_t_6 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_11, __pyx_callargs+__pyx_t_5, (2-__pyx_t_5) | (__pyx_t_5*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_10); __pyx_t_10 = 0;
      __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
      if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 910, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
    }
    __pyx_t_11 = __Pyx_PyNumber_Divide(__pyx_v_R, __pyx_t_6); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 910, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_11);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_10 = PyFloat_FromDouble(__pyx_t_9); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 910, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_10);
    __pyx_t_12 = PyObject_RichCompare(__pyx_t_10, __pyx_t_11, Py_LT); __Pyx_XGOTREF(__pyx_t_12); if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 910, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_12); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 910, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_12); __pyx_t_12 = 0;
    if (__pyx_t_4) {
      __pyx_t_12 = PyFloat_FromDouble(__pyx_t_9); if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 910, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_12);
      __pyx_t_6 = __pyx_t_12;
      __pyx_t_12 = 0;
    } else {
      __Pyx_INCREF(__pyx_t_11);
      __pyx_t_6 = __pyx_t_11;
    }
    __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
    __Pyx_INCREF(__pyx_t_6);
    __pyx_t_11 = __pyx_t_6;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_12 = PyFloat_FromDouble(__pyx_t_8); if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 910, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_12);
    __pyx_t_10 = PyObject_RichCompare(__pyx_t_12, __pyx_t_11, Py_GT); __Pyx_XGOTREF(__pyx_t_10); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 910, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_12); __pyx_t_12 = 0;
    __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_10); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 910, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    if (__pyx_t_4) {
      __pyx_t_10 = PyFloat_FromDouble(__pyx_t_8); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 910, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_10);
      __pyx_t_6 = __pyx_t_10;
      __pyx_t_10 = 0;
    } else {
      __Pyx_INCREF(__pyx_t_11);
      __pyx_t_6 = __pyx_t_11;
    }
    __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
    __pyx_t_5 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_2))) {
      __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
      assert(__pyx_t_3);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_2, __pyx__function);
      __pyx_t_5 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_3, __pyx_t_6};
      __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_2, __pyx_callargs+__pyx_t_5, (2-__pyx_t_5) | (__pyx_t_5*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 910, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
    }
    __pyx_v_theta = __pyx_t_1;
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":911
 *         # The epsilon * .5 above ensures that Q3 is not zero.
 *         theta = acos(max(min(R / sqrt(Q3), 1.0), -1.0))
 *         rQ2 = -2.0 * sqrt(Q)             # <<<<<<<<<<<<<<
 *         a1_3 = a1 / 3.0
 *         x0 = rQ2 * cos(theta / 3.0) - a1_3
*/
    __pyx_t_2 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_6, __pyx_mstate_global->__pyx_n_u_sqrt); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 911, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_5 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_6))) {
      __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_6);
      assert(__pyx_t_2);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_6);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_6, __pyx__function);
      __pyx_t_5 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_2, __pyx_v_Q};
      __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_6, __pyx_callargs+__pyx_t_5, (2-__pyx_t_5) | (__pyx_t_5*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 911, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
    }
    __pyx_t_6 = PyNumber_Multiply(__pyx_mstate_global->__pyx_float_neg_2_0, __pyx_t_1); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 911, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_v_rQ2 = __pyx_t_6;
    __pyx_t_6 = 0;

    /* "fontTools/misc/bezierTools.py":912
 *         theta = acos(max(min(R / sqrt(Q3), 1.0), -1.0))
 *         rQ2 = -2.0 * sqrt(Q)
 *         a1_3 = a1 / 3.0             # <<<<<<<<<<<<<<
 *         x0 = rQ2 * cos(theta / 3.0) - a1_3
 *         x1 = rQ2 * cos((theta + 2.0 * pi) / 3.0) - a1_3
*/
    __pyx_t_6 = __Pyx_PyFloat_TrueDivideObjC(__pyx_v_a1, __pyx_mstate_global->__pyx_float_3_0, 3.0, 0, 0); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 912, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_v_a1_3 = __pyx_t_6;
    __pyx_t_6 = 0;

    /* "fontTools/misc/bezierTools.py":913
 *         rQ2 = -2.0 * sqrt(Q)
 *         a1_3 = a1 / 3.0
 *         x0 = rQ2 * cos(theta / 3.0) - a1_3             # <<<<<<<<<<<<<<
 *         x1 = rQ2 * cos((theta + 2.0 * pi) / 3.0) - a1_3
 *         x2 = rQ2 * cos((theta + 4.0 * pi) / 3.0) - a1_3
*/
    __pyx_t_1 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_cos); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 913, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_3 = __Pyx_PyFloat_TrueDivideObjC(__pyx_v_theta, __pyx_mstate_global->__pyx_float_3_0, 3.0, 0, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 913, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_5 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_2))) {
      __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_2);
      assert(__pyx_t_1);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_1);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_2, __pyx__function);
      __pyx_t_5 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_1, __pyx_t_3};
      __pyx_t_6 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_2, __pyx_callargs+__pyx_t_5, (2-__pyx_t_5) | (__pyx_t_5*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 913, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
    }
    __pyx_t_2 = PyNumber_Multiply(__pyx_v_rQ2, __pyx_t_6); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 913, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_6 = PyNumber_Subtract(__pyx_t_2, __pyx_v_a1_3); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 913, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_v_x0 = __pyx_t_6;
    __pyx_t_6 = 0;

    /* "fontTools/misc/bezierTools.py":914
 *         a1_3 = a1 / 3.0
 *         x0 = rQ2 * cos(theta / 3.0) - a1_3
 *         x1 = rQ2 * cos((theta + 2.0 * pi) / 3.0) - a1_3             # <<<<<<<<<<<<<<
 *         x2 = rQ2 * cos((theta + 4.0 * pi) / 3.0) - a1_3
 *         x0, x1, x2 = sorted([x0, x1, x2])
*/
    __pyx_t_2 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_cos); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 914, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_mstate_global->__pyx_n_u_pi); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 914, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_11 = PyNumber_Multiply(__pyx_mstate_global->__pyx_float_2_0, __pyx_t_1); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 914, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_11);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = PyNumber_Add(__pyx_v_theta, __pyx_t_11); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 914, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
    __pyx_t_11 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_1, __pyx_mstate_global->__pyx_float_3_0, 3.0, 0, 0); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 914, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_11);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_5 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_3))) {
      __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
      assert(__pyx_t_2);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
      __pyx_t_5 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_2, __pyx_t_11};
      __pyx_t_6 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_5, (2-__pyx_t_5) | (__pyx_t_5*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
      __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 914, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
    }
    __pyx_t_3 = PyNumber_Multiply(__pyx_v_rQ2, __pyx_t_6); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 914, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_6 = PyNumber_Subtract(__pyx_t_3, __pyx_v_a1_3); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 914, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_v_x1 = __pyx_t_6;
    __pyx_t_6 = 0;

    /* "fontTools/misc/bezierTools.py":915
 *         x0 = rQ2 * cos(theta / 3.0) - a1_3
 *         x1 = rQ2 * cos((theta + 2.0 * pi) / 3.0) - a1_3
 *         x2 = rQ2 * cos((theta + 4.0 * pi) / 3.0) - a1_3             # <<<<<<<<<<<<<<
 *         x0, x1, x2 = sorted([x0, x1, x2])
 *         # Merge roots that are close-enough
*/
    __pyx_t_3 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_11, __pyx_mstate_global->__pyx_n_u_cos); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 915, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_11);
    __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_pi); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 915, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PyNumber_Multiply(__pyx_mstate_global->__pyx_float_4_0, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 915, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = PyNumber_Add(__pyx_v_theta, __pyx_t_1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 915, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_2, __pyx_mstate_global->__pyx_float_3_0, 3.0, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 915, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_5 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_11))) {
      __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_11);
      assert(__pyx_t_3);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_11);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_11, __pyx__function);
      __pyx_t_5 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_3, __pyx_t_1};
      __pyx_t_6 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_11, __pyx_callargs+__pyx_t_5, (2-__pyx_t_5) | (__pyx_t_5*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
      if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 915, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
    }
    __pyx_t_11 = PyNumber_Multiply(__pyx_v_rQ2, __pyx_t_6); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 915, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_11);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_6 = PyNumber_Subtract(__pyx_t_11, __pyx_v_a1_3); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 915, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
    __pyx_v_x2 = __pyx_t_6;
    __pyx_t_6 = 0;

    /* "fontTools/misc/bezierTools.py":916
 *         x1 = rQ2 * cos((theta + 2.0 * pi) / 3.0) - a1_3
 *         x2 = rQ2 * cos((theta + 4.0 * pi) / 3.0) - a1_3
 *         x0, x1, x2 = sorted([x0, x1, x2])             # <<<<<<<<<<<<<<
 *         # Merge roots that are close-enough
 *         if x1 - x0 < epsilon and x2 - x1 < epsilon:
*/
    __pyx_t_6 = PyList_New(3); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 916, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_INCREF(__pyx_v_x0);
    __Pyx_GIVEREF(__pyx_v_x0);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_6, 0, __pyx_v_x0) != (0)) __PYX_ERR(0, 916, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_x1);
    __Pyx_GIVEREF(__pyx_v_x1);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_6, 1, __pyx_v_x1) != (0)) __PYX_ERR(0, 916, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_x2);
    __Pyx_GIVEREF(__pyx_v_x2);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_6, 2, __pyx_v_x2) != (0)) __PYX_ERR(0, 916, __pyx_L1_error);
    if (unlikely((PyList_Sort(__pyx_t_6) < 0))) __PYX_ERR(0, 916, __pyx_L1_error)
    if (1) {
      PyObject* sequence = __pyx_t_6;
      Py_ssize_t size = __Pyx_PyList_GET_SIZE(sequence);
      if (unlikely(size != 3)) {
        if (size > 3) __Pyx_RaiseTooManyValuesError(3);
        else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
        __PYX_ERR(0, 916, __pyx_L1_error)
      }
      #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      __pyx_t_11 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 916, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_11);
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 916, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
      __pyx_t_3 = __Pyx_PyList_GetItemRefFast(sequence, 2, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 916, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_3);
      #else
      __pyx_t_11 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 916, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_11);
      __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 916, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __pyx_t_3 = __Pyx_PySequence_ITEM(sequence, 2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 916, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      #endif
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    }
    __Pyx_DECREF_SET(__pyx_v_x0, __pyx_t_11);
    __pyx_t_11 = 0;
    __Pyx_DECREF_SET(__pyx_v_x1, __pyx_t_1);
    __pyx_t_1 = 0;
    __Pyx_DECREF_SET(__pyx_v_x2, __pyx_t_3);
    __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":918
 *         x0, x1, x2 = sorted([x0, x1, x2])
 *         # Merge roots that are close-enough
 *         if x1 - x0 < epsilon and x2 - x1 < epsilon:             # <<<<<<<<<<<<<<
 *             x0 = x1 = x2 = round((x0 + x1 + x2) / 3.0, epsilonDigits)
 *         elif x1 - x0 < epsilon:
*/
    __pyx_t_6 = PyNumber_Subtract(__pyx_v_x1, __pyx_v_x0); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 918, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_epsilon); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 918, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_1 = PyObject_RichCompare(__pyx_t_6, __pyx_t_3, Py_LT); __Pyx_XGOTREF(__pyx_t_1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 918, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_7 < 0))) __PYX_ERR(0, 918, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (__pyx_t_7) {
    } else {
      __pyx_t_4 = __pyx_t_7;
      goto __pyx_L8_bool_binop_done;
    }
    __pyx_t_1 = PyNumber_Subtract(__pyx_v_x2, __pyx_v_x1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 918, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_epsilon); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 918, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_6 = PyObject_RichCompare(__pyx_t_1, __pyx_t_3, Py_LT); __Pyx_XGOTREF(__pyx_t_6); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 918, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_t_6); if (unlikely((__pyx_t_7 < 0))) __PYX_ERR(0, 918, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_4 = __pyx_t_7;
    __pyx_L8_bool_binop_done:;
    if (__pyx_t_4) {

      /* "fontTools/misc/bezierTools.py":919
 *         # Merge roots that are close-enough
 *         if x1 - x0 < epsilon and x2 - x1 < epsilon:
 *             x0 = x1 = x2 = round((x0 + x1 + x2) / 3.0, epsilonDigits)             # <<<<<<<<<<<<<<
 *         elif x1 - x0 < epsilon:
 *             x0 = x1 = round((x0 + x1) / 2.0, epsilonDigits)
*/
      __pyx_t_3 = NULL;
      __pyx_t_1 = PyNumber_Add(__pyx_v_x0, __pyx_v_x1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 919, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __pyx_t_11 = PyNumber_Add(__pyx_t_1, __pyx_v_x2); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 919, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_11);
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      __pyx_t_1 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_11, __pyx_mstate_global->__pyx_float_3_0, 3.0, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 919, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
      __Pyx_GetModuleGlobalName(__pyx_t_11, __pyx_mstate_global->__pyx_n_u_epsilonDigits); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 919, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_11);
      __pyx_t_5 = 1;
      {
        PyObject *__pyx_callargs[3] = {__pyx_t_3, __pyx_t_1, __pyx_t_11};
        __pyx_t_6 = __Pyx_PyObject_FastCall((PyObject*)__pyx_builtin_round, __pyx_callargs+__pyx_t_5, (3-__pyx_t_5) | (__pyx_t_5*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
        __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
        __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
        __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
        if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 919, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_6);
      }
      __Pyx_INCREF(__pyx_t_6);
      __Pyx_DECREF_SET(__pyx_v_x0, __pyx_t_6);
      __Pyx_INCREF(__pyx_t_6);
      __Pyx_DECREF_SET(__pyx_v_x1, __pyx_t_6);
      __Pyx_INCREF(__pyx_t_6);
      __Pyx_DECREF_SET(__pyx_v_x2, __pyx_t_6);
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;

      /* "fontTools/misc/bezierTools.py":918
 *         x0, x1, x2 = sorted([x0, x1, x2])
 *         # Merge roots that are close-enough
 *         if x1 - x0 < epsilon and x2 - x1 < epsilon:             # <<<<<<<<<<<<<<
 *             x0 = x1 = x2 = round((x0 + x1 + x2) / 3.0, epsilonDigits)
 *         elif x1 - x0 < epsilon:
*/
      goto __pyx_L7;
    }

    /* "fontTools/misc/bezierTools.py":920
 *         if x1 - x0 < epsilon and x2 - x1 < epsilon:
 *             x0 = x1 = x2 = round((x0 + x1 + x2) / 3.0, epsilonDigits)
 *         elif x1 - x0 < epsilon:             # <<<<<<<<<<<<<<
 *             x0 = x1 = round((x0 + x1) / 2.0, epsilonDigits)
 *             x2 = round(x2, epsilonDigits)
*/
    __pyx_t_6 = PyNumber_Subtract(__pyx_v_x1, __pyx_v_x0); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 920, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_GetModuleGlobalName(__pyx_t_11, __pyx_mstate_global->__pyx_n_u_epsilon); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 920, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_11);
    __pyx_t_1 = PyObject_RichCompare(__pyx_t_6, __pyx_t_11, Py_LT); __Pyx_XGOTREF(__pyx_t_1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 920, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
    __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 920, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (__pyx_t_4) {

      /* "fontTools/misc/bezierTools.py":921
 *             x0 = x1 = x2 = round((x0 + x1 + x2) / 3.0, epsilonDigits)
 *         elif x1 - x0 < epsilon:
 *             x0 = x1 = round((x0 + x1) / 2.0, epsilonDigits)             # <<<<<<<<<<<<<<
 *             x2 = round(x2, epsilonDigits)
 *         elif x2 - x1 < epsilon:
*/
      __pyx_t_11 = NULL;
      __pyx_t_6 = PyNumber_Add(__pyx_v_x0, __pyx_v_x1); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 921, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __pyx_t_3 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_6, __pyx_mstate_global->__pyx_float_2_0, 2.0, 0, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 921, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      __Pyx_GetModuleGlobalName(__pyx_t_6, __pyx_mstate_global->__pyx_n_u_epsilonDigits); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 921, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __pyx_t_5 = 1;
      {
        PyObject *__pyx_callargs[3] = {__pyx_t_11, __pyx_t_3, __pyx_t_6};
        __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_builtin_round, __pyx_callargs+__pyx_t_5, (3-__pyx_t_5) | (__pyx_t_5*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
        __Pyx_XDECREF(__pyx_t_11); __pyx_t_11 = 0;
        __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
        __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
        if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 921, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_1);
      }
      __Pyx_INCREF(__pyx_t_1);
      __Pyx_DECREF_SET(__pyx_v_x0, __pyx_t_1);
      __Pyx_INCREF(__pyx_t_1);
      __Pyx_DECREF_SET(__pyx_v_x1, __pyx_t_1);
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

      /* "fontTools/misc/bezierTools.py":922
 *         elif x1 - x0 < epsilon:
 *             x0 = x1 = round((x0 + x1) / 2.0, epsilonDigits)
 *             x2 = round(x2, epsilonDigits)             # <<<<<<<<<<<<<<
 *         elif x2 - x1 < epsilon:
 *             x0 = round(x0, epsilonDigits)
*/
      __pyx_t_6 = NULL;
      __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_epsilonDigits); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 922, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_5 = 1;
      {
        PyObject *__pyx_callargs[3] = {__pyx_t_6, __pyx_v_x2, __pyx_t_3};
        __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_builtin_round, __pyx_callargs+__pyx_t_5, (3-__pyx_t_5) | (__pyx_t_5*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
        __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
        __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
        if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 922, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_1);
      }
      __Pyx_DECREF_SET(__pyx_v_x2, __pyx_t_1);
      __pyx_t_1 = 0;

      /* "fontTools/misc/bezierTools.py":920
 *         if x1 - x0 < epsilon and x2 - x1 < epsilon:
 *             x0 = x1 = x2 = round((x0 + x1 + x2) / 3.0, epsilonDigits)
 *         elif x1 - x0 < epsilon:             # <<<<<<<<<<<<<<
 *             x0 = x1 = round((x0 + x1) / 2.0, epsilonDigits)
 *             x2 = round(x2, epsilonDigits)
*/
      goto __pyx_L7;
    }

    /* "fontTools/misc/bezierTools.py":923
 *             x0 = x1 = round((x0 + x1) / 2.0, epsilonDigits)
 *             x2 = round(x2, epsilonDigits)
 *         elif x2 - x1 < epsilon:             # <<<<<<<<<<<<<<
 *             x0 = round(x0, epsilonDigits)
 *             x1 = x2 = round((x1 + x2) / 2.0, epsilonDigits)
*/
    __pyx_t_1 = PyNumber_Subtract(__pyx_v_x2, __pyx_v_x1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 923, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_epsilon); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 923, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_6 = PyObject_RichCompare(__pyx_t_1, __pyx_t_3, Py_LT); __Pyx_XGOTREF(__pyx_t_6); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 923, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_6); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 923, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    if (__pyx_t_4) {

      /* "fontTools/misc/bezierTools.py":924
 *             x2 = round(x2, epsilonDigits)
 *         elif x2 - x1 < epsilon:
 *             x0 = round(x0, epsilonDigits)             # <<<<<<<<<<<<<<
 *             x1 = x2 = round((x1 + x2) / 2.0, epsilonDigits)
 *         else:
*/
      __pyx_t_3 = NULL;
      __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_mstate_global->__pyx_n_u_epsilonDigits); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 924, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __pyx_t_5 = 1;
      {
        PyObject *__pyx_callargs[3] = {__pyx_t_3, __pyx_v_x0, __pyx_t_1};
        __pyx_t_6 = __Pyx_PyObject_FastCall((PyObject*)__pyx_builtin_round, __pyx_callargs+__pyx_t_5, (3-__pyx_t_5) | (__pyx_t_5*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
        __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
        __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
        if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 924, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_6);
      }
      __Pyx_DECREF_SET(__pyx_v_x0, __pyx_t_6);
      __pyx_t_6 = 0;

      /* "fontTools/misc/bezierTools.py":925
 *         elif x2 - x1 < epsilon:
 *             x0 = round(x0, epsilonDigits)
 *             x1 = x2 = round((x1 + x2) / 2.0, epsilonDigits)             # <<<<<<<<<<<<<<
 *         else:
 *             x0 = round(x0, epsilonDigits)
*/
      __pyx_t_1 = NULL;
      __pyx_t_3 = PyNumber_Add(__pyx_v_x1, __pyx_v_x2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 925, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_11 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_3, __pyx_mstate_global->__pyx_float_2_0, 2.0, 0, 0); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 925, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_11);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_epsilonDigits); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 925, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_5 = 1;
      {
        PyObject *__pyx_callargs[3] = {__pyx_t_1, __pyx_t_11, __pyx_t_3};
        __pyx_t_6 = __Pyx_PyObject_FastCall((PyObject*)__pyx_builtin_round, __pyx_callargs+__pyx_t_5, (3-__pyx_t_5) | (__pyx_t_5*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
        __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
        __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
        __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
        if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 925, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_6);
      }
      __Pyx_INCREF(__pyx_t_6);
      __Pyx_DECREF_SET(__pyx_v_x1, __pyx_t_6);
      __Pyx_INCREF(__pyx_t_6);
      __Pyx_DECREF_SET(__pyx_v_x2, __pyx_t_6);
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;

      /* "fontTools/misc/bezierTools.py":923
 *             x0 = x1 = round((x0 + x1) / 2.0, epsilonDigits)
 *             x2 = round(x2, epsilonDigits)
 *         elif x2 - x1 < epsilon:             # <<<<<<<<<<<<<<
 *             x0 = round(x0, epsilonDigits)
 *             x1 = x2 = round((x1 + x2) / 2.0, epsilonDigits)
*/
      goto __pyx_L7;
    }

    /* "fontTools/misc/bezierTools.py":927
 *             x1 = x2 = round((x1 + x2) / 2.0, epsilonDigits)
 *         else:
 *             x0 = round(x0, epsilonDigits)             # <<<<<<<<<<<<<<
 *             x1 = round(x1, epsilonDigits)
 *             x2 = round(x2, epsilonDigits)
*/
    /*else*/ {
      __pyx_t_3 = NULL;
      __Pyx_GetModuleGlobalName(__pyx_t_11, __pyx_mstate_global->__pyx_n_u_epsilonDigits); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 927, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_11);
      __pyx_t_5 = 1;
      {
        PyObject *__pyx_callargs[3] = {__pyx_t_3, __pyx_v_x0, __pyx_t_11};
        __pyx_t_6 = __Pyx_PyObject_FastCall((PyObject*)__pyx_builtin_round, __pyx_callargs+__pyx_t_5, (3-__pyx_t_5) | (__pyx_t_5*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
        __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
        __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
        if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 927, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_6);
      }
      __Pyx_DECREF_SET(__pyx_v_x0, __pyx_t_6);
      __pyx_t_6 = 0;

      /* "fontTools/misc/bezierTools.py":928
 *         else:
 *             x0 = round(x0, epsilonDigits)
 *             x1 = round(x1, epsilonDigits)             # <<<<<<<<<<<<<<
 *             x2 = round(x2, epsilonDigits)
 *         return [x0, x1, x2]
*/
      __pyx_t_11 = NULL;
      __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_epsilonDigits); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 928, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_5 = 1;
      {
        PyObject *__pyx_callargs[3] = {__pyx_t_11, __pyx_v_x1, __pyx_t_3};
        __pyx_t_6 = __Pyx_PyObject_FastCall((PyObject*)__pyx_builtin_round, __pyx_callargs+__pyx_t_5, (3-__pyx_t_5) | (__pyx_t_5*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
        __Pyx_XDECREF(__pyx_t_11); __pyx_t_11 = 0;
        __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
        if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 928, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_6);
      }
      __Pyx_DECREF_SET(__pyx_v_x1, __pyx_t_6);
      __pyx_t_6 = 0;

      /* "fontTools/misc/bezierTools.py":929
 *             x0 = round(x0, epsilonDigits)
 *             x1 = round(x1, epsilonDigits)
 *             x2 = round(x2, epsilonDigits)             # <<<<<<<<<<<<<<
 *         return [x0, x1, x2]
 *     else:
*/
      __pyx_t_3 = NULL;
      __Pyx_GetModuleGlobalName(__pyx_t_11, __pyx_mstate_global->__pyx_n_u_epsilonDigits); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 929, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_11);
      __pyx_t_5 = 1;
      {
        PyObject *__pyx_callargs[3] = {__pyx_t_3, __pyx_v_x2, __pyx_t_11};
        __pyx_t_6 = __Pyx_PyObject_FastCall((PyObject*)__pyx_builtin_round, __pyx_callargs+__pyx_t_5, (3-__pyx_t_5) | (__pyx_t_5*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
        __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
        __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
        if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 929, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_6);
      }
      __Pyx_DECREF_SET(__pyx_v_x2, __pyx_t_6);
      __pyx_t_6 = 0;
    }
    __pyx_L7:;

    /* "fontTools/misc/bezierTools.py":930
 *             x1 = round(x1, epsilonDigits)
 *             x2 = round(x2, epsilonDigits)
 *         return [x0, x1, x2]             # <<<<<<<<<<<<<<
 *     else:
 *         x = pow(sqrt(R2_Q3) + abs(R), 1 / 3.0)
*/
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_6 = PyList_New(3); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 930, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_INCREF(__pyx_v_x0);
    __Pyx_GIVEREF(__pyx_v_x0);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_6, 0, __pyx_v_x0) != (0)) __PYX_ERR(0, 930, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_x1);
    __Pyx_GIVEREF(__pyx_v_x1);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_6, 1, __pyx_v_x1) != (0)) __PYX_ERR(0, 930, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_x2);
    __Pyx_GIVEREF(__pyx_v_x2);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_6, 2, __pyx_v_x2) != (0)) __PYX_ERR(0, 930, __pyx_L1_error);
    __pyx_r = __pyx_t_6;
    __pyx_t_6 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":908
 *         x = round(-a1 / 3.0, epsilonDigits)
 *         return [x, x, x]
 *     elif R2_Q3 <= epsilon * 0.5:             # <<<<<<<<<<<<<<
 *         # The epsilon * .5 above ensures that Q3 is not zero.
 *         theta = acos(max(min(R / sqrt(Q3), 1.0), -1.0))
*/
  }

  /* "fontTools/misc/bezierTools.py":932
 *         return [x0, x1, x2]
 *     else:
 *         x = pow(sqrt(R2_Q3) + abs(R), 1 / 3.0)             # <<<<<<<<<<<<<<
 *         x = x + Q / x
 *         if R >= 0.0:
*/
  /*else*/ {
    __pyx_t_11 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_sqrt); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 932, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_5 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_3))) {
      __pyx_t_11 = PyMethod_GET_SELF(__pyx_t_3);
      assert(__pyx_t_11);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_11);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
      __pyx_t_5 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_11, __pyx_v_R2_Q3};
      __pyx_t_6 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_5, (2-__pyx_t_5) | (__pyx_t_5*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_11); __pyx_t_11 = 0;
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 932, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
    }
    __pyx_t_3 = __Pyx_PyNumber_Absolute(__pyx_v_R); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 932, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_11 = PyNumber_Add(__pyx_t_6, __pyx_t_3); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 932, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_11);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_3 = PyFloat_FromDouble((1.0 / 3.0)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 932, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_6 = __Pyx_PyNumber_Power2(__pyx_t_11, __pyx_t_3); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 932, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_v_x = __pyx_t_6;
    __pyx_t_6 = 0;

    /* "fontTools/misc/bezierTools.py":933
 *     else:
 *         x = pow(sqrt(R2_Q3) + abs(R), 1 / 3.0)
 *         x = x + Q / x             # <<<<<<<<<<<<<<
 *         if R >= 0.0:
 *             x = -x
*/
    __pyx_t_6 = __Pyx_PyNumber_Divide(__pyx_v_Q, __pyx_v_x); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 933, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_3 = PyNumber_Add(__pyx_v_x, __pyx_t_6); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 933, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF_SET(__pyx_v_x, __pyx_t_3);
    __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":934
 *         x = pow(sqrt(R2_Q3) + abs(R), 1 / 3.0)
 *         x = x + Q / x
 *         if R >= 0.0:             # <<<<<<<<<<<<<<
 *             x = -x
 *         x = round(x - a1 / 3.0, epsilonDigits)
*/
    __pyx_t_3 = PyObject_RichCompare(__pyx_v_R, __pyx_mstate_global->__pyx_float_0_0, Py_GE); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 934, __pyx_L1_error)
    __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 934, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (__pyx_t_4) {

      /* "fontTools/misc/bezierTools.py":935
 *         x = x + Q / x
 *         if R >= 0.0:
 *             x = -x             # <<<<<<<<<<<<<<
 *         x = round(x - a1 / 3.0, epsilonDigits)
 *         return [x]
*/
      __pyx_t_3 = PyNumber_Negative(__pyx_v_x); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 935, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF_SET(__pyx_v_x, __pyx_t_3);
      __pyx_t_3 = 0;

      /* "fontTools/misc/bezierTools.py":934
 *         x = pow(sqrt(R2_Q3) + abs(R), 1 / 3.0)
 *         x = x + Q / x
 *         if R >= 0.0:             # <<<<<<<<<<<<<<
 *             x = -x
 *         x = round(x - a1 / 3.0, epsilonDigits)
*/
    }

    /* "fontTools/misc/bezierTools.py":936
 *         if R >= 0.0:
 *             x = -x
 *         x = round(x - a1 / 3.0, epsilonDigits)             # <<<<<<<<<<<<<<
 *         return [x]
 * 
*/
    __pyx_t_6 = NULL;
    __pyx_t_11 = __Pyx_PyFloat_TrueDivideObjC(__pyx_v_a1, __pyx_mstate_global->__pyx_float_3_0, 3.0, 0, 0); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 936, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_11);
    __pyx_t_1 = PyNumber_Subtract(__pyx_v_x, __pyx_t_11); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 936, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
    __Pyx_GetModuleGlobalName(__pyx_t_11, __pyx_mstate_global->__pyx_n_u_epsilonDigits); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 936, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_11);
    __pyx_t_5 = 1;
    {
      PyObject *__pyx_callargs[3] = {__pyx_t_6, __pyx_t_1, __pyx_t_11};
      __pyx_t_3 = __Pyx_PyObject_FastCall((PyObject*)__pyx_builtin_round, __pyx_callargs+__pyx_t_5, (3-__pyx_t_5) | (__pyx_t_5*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
      if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 936, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
    }
    __Pyx_DECREF_SET(__pyx_v_x, __pyx_t_3);
    __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":937
 *             x = -x
 *         x = round(x - a1 / 3.0, epsilonDigits)
 *         return [x]             # <<<<<<<<<<<<<<
 * 
 * 
*/
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_3 = PyList_New(1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 937, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_INCREF(__pyx_v_x);
    __Pyx_GIVEREF(__pyx_v_x);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_3, 0, __pyx_v_x) != (0)) __PYX_ERR(0, 937, __pyx_L1_error);
    __pyx_r = __pyx_t_3;
    __pyx_t_3 = 0;
    goto __pyx_L0;
  }

  /* "fontTools/misc/bezierTools.py":848
 * 
 * 
 * def solveCubic(a, b, c, d):             # <<<<<<<<<<<<<<
 *     """Solve a cubic equation.
 * 
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_10);
  __Pyx_XDECREF(__pyx_t_11);
  __Pyx_XDECREF(__pyx_t_12);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.solveCubic", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_a1);
  __Pyx_XDECREF(__pyx_v_a2);
  __Pyx_XDECREF(__pyx_v_a3);
  __Pyx_XDECREF(__pyx_v_Q);
  __Pyx_XDECREF(__pyx_v_R);
  __Pyx_XDECREF(__pyx_v_R2);
  __Pyx_XDECREF(__pyx_v_Q3);
  __Pyx_XDECREF(__pyx_v_R2_Q3);
  __Pyx_XDECREF(__pyx_v_x);
  __Pyx_XDECREF(__pyx_v_theta);
  __Pyx_XDECREF(__pyx_v_rQ2);
  __Pyx_XDECREF(__pyx_v_a1_3);
  __Pyx_XDECREF(__pyx_v_x0);
  __Pyx_XDECREF(__pyx_v_x1);
  __Pyx_XDECREF(__pyx_v_x2);
  __Pyx_XDECREF(__pyx_v_a);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":945
 * 
 * 
 * def calcQuadraticParameters(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     x2, y2 = pt2
 *     x3, y3 = pt3
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_51calcQuadraticParameters(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_50calcQuadraticParameters, "calcQuadraticParameters(pt1, pt2, pt3)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_51calcQuadraticParameters = {"calcQuadraticParameters", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_51calcQuadraticParameters, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_50calcQuadraticParameters};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_51calcQuadraticParameters(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[3] = {0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("calcQuadraticParameters (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_pt1,&__pyx_mstate_global->__pyx_n_u_pt2,&__pyx_mstate_global->__pyx_n_u_pt3,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 945, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 945, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 945, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 945, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "calcQuadraticParameters", 0) < (0)) __PYX_ERR(0, 945, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 3; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("calcQuadraticParameters", 1, 3, 3, i); __PYX_ERR(0, 945, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 3)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 945, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 945, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 945, __pyx_L3_error)
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcQuadraticParameters", 1, 3, 3, __pyx_nargs); __PYX_ERR(0, 945, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcQuadraticParameters", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_50calcQuadraticParameters(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_50calcQuadraticParameters(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3) {
  PyObject *__pyx_v_x2 = NULL;
  PyObject *__pyx_v_y2 = NULL;
  PyObject *__pyx_v_x3 = NULL;
  PyObject *__pyx_v_y3 = NULL;
  PyObject *__pyx_v_cx = NULL;
  PyObject *__pyx_v_cy = NULL;
  PyObject *__pyx_v_bx = NULL;
  PyObject *__pyx_v_by = NULL;
  PyObject *__pyx_v_ax = NULL;
  PyObject *__pyx_v_ay = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *(*__pyx_t_4)(PyObject *);
  PyObject *__pyx_t_5 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcQuadraticParameters", 0);

  /* "fontTools/misc/bezierTools.py":946
 * 
 * def calcQuadraticParameters(pt1, pt2, pt3):
 *     x2, y2 = pt2             # <<<<<<<<<<<<<<
 *     x3, y3 = pt3
 *     cx, cy = pt1
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_pt2))) || (PyList_CheckExact(__pyx_v_pt2))) {
    PyObject* sequence = __pyx_v_pt2;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 946, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_1);
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_2);
    } else {
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 946, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 946, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
    }
    #else
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 946, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 946, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_pt2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 946, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < (0)) __PYX_ERR(0, 946, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 946, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_x2 = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_y2 = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":947
 * def calcQuadraticParameters(pt1, pt2, pt3):
 *     x2, y2 = pt2
 *     x3, y3 = pt3             # <<<<<<<<<<<<<<
 *     cx, cy = pt1
 *     bx = (x2 - cx) * 2.0
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_pt3))) || (PyList_CheckExact(__pyx_v_pt3))) {
    PyObject* sequence = __pyx_v_pt3;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 947, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_2);
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_1);
    } else {
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 947, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 947, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
    }
    #else
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 947, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 947, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_pt3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 947, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < (0)) __PYX_ERR(0, 947, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L6_unpacking_done;
    __pyx_L5_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 947, __pyx_L1_error)
    __pyx_L6_unpacking_done:;
  }
  __pyx_v_x3 = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_y3 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":948
 *     x2, y2 = pt2
 *     x3, y3 = pt3
 *     cx, cy = pt1             # <<<<<<<<<<<<<<
 *     bx = (x2 - cx) * 2.0
 *     by = (y2 - cy) * 2.0
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_pt1))) || (PyList_CheckExact(__pyx_v_pt1))) {
    PyObject* sequence = __pyx_v_pt1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 948, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_1);
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_2);
    } else {
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 948, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 948, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
    }
    #else
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 948, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 948, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_pt1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 948, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < (0)) __PYX_ERR(0, 948, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L8_unpacking_done;
    __pyx_L7_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 948, __pyx_L1_error)
    __pyx_L8_unpacking_done:;
  }
  __pyx_v_cx = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_cy = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":949
 *     x3, y3 = pt3
 *     cx, cy = pt1
 *     bx = (x2 - cx) * 2.0             # <<<<<<<<<<<<<<
 *     by = (y2 - cy) * 2.0
 *     ax = x3 - cx - bx
*/
  __pyx_t_2 = PyNumber_Subtract(__pyx_v_x2, __pyx_v_cx); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 949, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyNumber_Multiply(__pyx_t_2, __pyx_mstate_global->__pyx_float_2_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 949, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_bx = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":950
 *     cx, cy = pt1
 *     bx = (x2 - cx) * 2.0
 *     by = (y2 - cy) * 2.0             # <<<<<<<<<<<<<<
 *     ax = x3 - cx - bx
 *     ay = y3 - cy - by
*/
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_y2, __pyx_v_cy); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 950, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Multiply(__pyx_t_1, __pyx_mstate_global->__pyx_float_2_0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 950, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_v_by = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":951
 *     bx = (x2 - cx) * 2.0
 *     by = (y2 - cy) * 2.0
 *     ax = x3 - cx - bx             # <<<<<<<<<<<<<<
 *     ay = y3 - cy - by
 *     return (ax, ay), (bx, by), (cx, cy)
*/
  __pyx_t_2 = PyNumber_Subtract(__pyx_v_x3, __pyx_v_cx); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 951, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyNumber_Subtract(__pyx_t_2, __pyx_v_bx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 951, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_ax = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":952
 *     by = (y2 - cy) * 2.0
 *     ax = x3 - cx - bx
 *     ay = y3 - cy - by             # <<<<<<<<<<<<<<
 *     return (ax, ay), (bx, by), (cx, cy)
 * 
*/
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_y3, __pyx_v_cy); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 952, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Subtract(__pyx_t_1, __pyx_v_by); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 952, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_v_ay = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":953
 *     ax = x3 - cx - bx
 *     ay = y3 - cy - by
 *     return (ax, ay), (bx, by), (cx, cy)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 953, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_INCREF(__pyx_v_ax);
  __Pyx_GIVEREF(__pyx_v_ax);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_ax) != (0)) __PYX_ERR(0, 953, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_ay);
  __Pyx_GIVEREF(__pyx_v_ay);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_ay) != (0)) __PYX_ERR(0, 953, __pyx_L1_error);
  __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 953, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_v_bx);
  __Pyx_GIVEREF(__pyx_v_bx);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_bx) != (0)) __PYX_ERR(0, 953, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_by);
  __Pyx_GIVEREF(__pyx_v_by);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_by) != (0)) __PYX_ERR(0, 953, __pyx_L1_error);
  __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 953, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_INCREF(__pyx_v_cx);
  __Pyx_GIVEREF(__pyx_v_cx);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_cx) != (0)) __PYX_ERR(0, 953, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_cy);
  __Pyx_GIVEREF(__pyx_v_cy);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_v_cy) != (0)) __PYX_ERR(0, 953, __pyx_L1_error);
  __pyx_t_5 = PyTuple_New(3); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 953, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_2) != (0)) __PYX_ERR(0, 953, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_t_1) != (0)) __PYX_ERR(0, 953, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 2, __pyx_t_3) != (0)) __PYX_ERR(0, 953, __pyx_L1_error);
  __pyx_t_2 = 0;
  __pyx_t_1 = 0;
  __pyx_t_3 = 0;
  __pyx_r = __pyx_t_5;
  __pyx_t_5 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":945
 * 
 * 
 * def calcQuadraticParameters(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     x2, y2 = pt2
 *     x3, y3 = pt3
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcQuadraticParameters", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_x2);
  __Pyx_XDECREF(__pyx_v_y2);
  __Pyx_XDECREF(__pyx_v_x3);
  __Pyx_XDECREF(__pyx_v_y3);
  __Pyx_XDECREF(__pyx_v_cx);
  __Pyx_XDECREF(__pyx_v_cy);
  __Pyx_XDECREF(__pyx_v_bx);
  __Pyx_XDECREF(__pyx_v_by);
  __Pyx_XDECREF(__pyx_v_ax);
  __Pyx_XDECREF(__pyx_v_ay);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":956
 * 
 * 
 * def calcCubicParameters(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     x2, y2 = pt2
 *     x3, y3 = pt3
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_53calcCubicParameters(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_52calcCubicParameters, "calcCubicParameters(pt1, pt2, pt3, pt4)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_53calcCubicParameters = {"calcCubicParameters", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_53calcCubicParameters, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_52calcCubicParameters};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_53calcCubicParameters(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  PyObject *__pyx_v_pt4 = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("calcCubicParameters (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_pt1,&__pyx_mstate_global->__pyx_n_u_pt2,&__pyx_mstate_global->__pyx_n_u_pt3,&__pyx_mstate_global->__pyx_n_u_pt4,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 956, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 956, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 956, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 956, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 956, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "calcCubicParameters", 0) < (0)) __PYX_ERR(0, 956, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 4; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("calcCubicParameters", 1, 4, 4, i); __PYX_ERR(0, 956, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 956, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 956, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 956, __pyx_L3_error)
      values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 956, __pyx_L3_error)
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
    __pyx_v_pt4 = values[3];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcCubicParameters", 1, 4, 4, __pyx_nargs); __PYX_ERR(0, 956, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcCubicParameters", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_52calcCubicParameters(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_52calcCubicParameters(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4) {
  PyObject *__pyx_v_x2 = NULL;
  PyObject *__pyx_v_y2 = NULL;
  PyObject *__pyx_v_x3 = NULL;
  PyObject *__pyx_v_y3 = NULL;
  PyObject *__pyx_v_x4 = NULL;
  PyObject *__pyx_v_y4 = NULL;
  PyObject *__pyx_v_dx = NULL;
  PyObject *__pyx_v_dy = NULL;
  PyObject *__pyx_v_cx = NULL;
  PyObject *__pyx_v_cy = NULL;
  PyObject *__pyx_v_bx = NULL;
  PyObject *__pyx_v_by = NULL;
  PyObject *__pyx_v_ax = NULL;
  PyObject *__pyx_v_ay = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *(*__pyx_t_4)(PyObject *);
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcCubicParameters", 0);

  /* "fontTools/misc/bezierTools.py":957
 * 
 * def calcCubicParameters(pt1, pt2, pt3, pt4):
 *     x2, y2 = pt2             # <<<<<<<<<<<<<<
 *     x3, y3 = pt3
 *     x4, y4 = pt4
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_pt2))) || (PyList_CheckExact(__pyx_v_pt2))) {
    PyObject* sequence = __pyx_v_pt2;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 957, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_1);
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_2);
    } else {
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 957, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 957, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
    }
    #else
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 957, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 957, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_pt2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 957, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < (0)) __PYX_ERR(0, 957, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 957, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_x2 = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_y2 = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":958
 * def calcCubicParameters(pt1, pt2, pt3, pt4):
 *     x2, y2 = pt2
 *     x3, y3 = pt3             # <<<<<<<<<<<<<<
 *     x4, y4 = pt4
 *     dx, dy = pt1
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_pt3))) || (PyList_CheckExact(__pyx_v_pt3))) {
    PyObject* sequence = __pyx_v_pt3;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 958, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_2);
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_1);
    } else {
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 958, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 958, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
    }
    #else
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 958, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 958, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_pt3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 958, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < (0)) __PYX_ERR(0, 958, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L6_unpacking_done;
    __pyx_L5_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 958, __pyx_L1_error)
    __pyx_L6_unpacking_done:;
  }
  __pyx_v_x3 = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_y3 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":959
 *     x2, y2 = pt2
 *     x3, y3 = pt3
 *     x4, y4 = pt4             # <<<<<<<<<<<<<<
 *     dx, dy = pt1
 *     cx = (x2 - dx) * 3.0
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_pt4))) || (PyList_CheckExact(__pyx_v_pt4))) {
    PyObject* sequence = __pyx_v_pt4;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 959, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_1);
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_2);
    } else {
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 959, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 959, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
    }
    #else
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 959, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 959, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_pt4); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 959, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < (0)) __PYX_ERR(0, 959, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L8_unpacking_done;
    __pyx_L7_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 959, __pyx_L1_error)
    __pyx_L8_unpacking_done:;
  }
  __pyx_v_x4 = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_y4 = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":960
 *     x3, y3 = pt3
 *     x4, y4 = pt4
 *     dx, dy = pt1             # <<<<<<<<<<<<<<
 *     cx = (x2 - dx) * 3.0
 *     cy = (y2 - dy) * 3.0
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_pt1))) || (PyList_CheckExact(__pyx_v_pt1))) {
    PyObject* sequence = __pyx_v_pt1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 960, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_2);
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_1);
    } else {
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 960, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 960, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
    }
    #else
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 960, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 960, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_pt1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 960, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L9_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L9_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < (0)) __PYX_ERR(0, 960, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L10_unpacking_done;
    __pyx_L9_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 960, __pyx_L1_error)
    __pyx_L10_unpacking_done:;
  }
  __pyx_v_dx = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_dy = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":961
 *     x4, y4 = pt4
 *     dx, dy = pt1
 *     cx = (x2 - dx) * 3.0             # <<<<<<<<<<<<<<
 *     cy = (y2 - dy) * 3.0
 *     bx = (x3 - x2) * 3.0 - cx
*/
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_x2, __pyx_v_dx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 961, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Multiply(__pyx_t_1, __pyx_mstate_global->__pyx_float_3_0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 961, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_v_cx = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":962
 *     dx, dy = pt1
 *     cx = (x2 - dx) * 3.0
 *     cy = (y2 - dy) * 3.0             # <<<<<<<<<<<<<<
 *     bx = (x3 - x2) * 3.0 - cx
 *     by = (y3 - y2) * 3.0 - cy
*/
  __pyx_t_2 = PyNumber_Subtract(__pyx_v_y2, __pyx_v_dy); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 962, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyNumber_Multiply(__pyx_t_2, __pyx_mstate_global->__pyx_float_3_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 962, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_cy = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":963
 *     cx = (x2 - dx) * 3.0
 *     cy = (y2 - dy) * 3.0
 *     bx = (x3 - x2) * 3.0 - cx             # <<<<<<<<<<<<<<
 *     by = (y3 - y2) * 3.0 - cy
 *     ax = x4 - dx - cx - bx
*/
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_x3, __pyx_v_x2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 963, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Multiply(__pyx_t_1, __pyx_mstate_global->__pyx_float_3_0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 963, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Subtract(__pyx_t_2, __pyx_v_cx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 963, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_bx = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":964
 *     cy = (y2 - dy) * 3.0
 *     bx = (x3 - x2) * 3.0 - cx
 *     by = (y3 - y2) * 3.0 - cy             # <<<<<<<<<<<<<<
 *     ax = x4 - dx - cx - bx
 *     ay = y4 - dy - cy - by
*/
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_y3, __pyx_v_y2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 964, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Multiply(__pyx_t_1, __pyx_mstate_global->__pyx_float_3_0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 964, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Subtract(__pyx_t_2, __pyx_v_cy); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 964, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_by = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":965
 *     bx = (x3 - x2) * 3.0 - cx
 *     by = (y3 - y2) * 3.0 - cy
 *     ax = x4 - dx - cx - bx             # <<<<<<<<<<<<<<
 *     ay = y4 - dy - cy - by
 *     return (ax, ay), (bx, by), (cx, cy), (dx, dy)
*/
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_x4, __pyx_v_dx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 965, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Subtract(__pyx_t_1, __pyx_v_cx); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 965, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Subtract(__pyx_t_2, __pyx_v_bx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 965, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_ax = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":966
 *     by = (y3 - y2) * 3.0 - cy
 *     ax = x4 - dx - cx - bx
 *     ay = y4 - dy - cy - by             # <<<<<<<<<<<<<<
 *     return (ax, ay), (bx, by), (cx, cy), (dx, dy)
 * 
*/
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_y4, __pyx_v_dy); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 966, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Subtract(__pyx_t_1, __pyx_v_cy); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 966, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Subtract(__pyx_t_2, __pyx_v_by); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 966, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_ay = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":967
 *     ax = x4 - dx - cx - bx
 *     ay = y4 - dy - cy - by
 *     return (ax, ay), (bx, by), (cx, cy), (dx, dy)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 967, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_v_ax);
  __Pyx_GIVEREF(__pyx_v_ax);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_ax) != (0)) __PYX_ERR(0, 967, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_ay);
  __Pyx_GIVEREF(__pyx_v_ay);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_ay) != (0)) __PYX_ERR(0, 967, __pyx_L1_error);
  __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 967, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_INCREF(__pyx_v_bx);
  __Pyx_GIVEREF(__pyx_v_bx);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_bx) != (0)) __PYX_ERR(0, 967, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_by);
  __Pyx_GIVEREF(__pyx_v_by);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_by) != (0)) __PYX_ERR(0, 967, __pyx_L1_error);
  __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 967, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_INCREF(__pyx_v_cx);
  __Pyx_GIVEREF(__pyx_v_cx);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_cx) != (0)) __PYX_ERR(0, 967, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_cy);
  __Pyx_GIVEREF(__pyx_v_cy);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_v_cy) != (0)) __PYX_ERR(0, 967, __pyx_L1_error);
  __pyx_t_5 = PyTuple_New(2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 967, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_INCREF(__pyx_v_dx);
  __Pyx_GIVEREF(__pyx_v_dx);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_v_dx) != (0)) __PYX_ERR(0, 967, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_dy);
  __Pyx_GIVEREF(__pyx_v_dy);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_v_dy) != (0)) __PYX_ERR(0, 967, __pyx_L1_error);
  __pyx_t_6 = PyTuple_New(4); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 967, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_t_1) != (0)) __PYX_ERR(0, 967, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_t_2) != (0)) __PYX_ERR(0, 967, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 2, __pyx_t_3) != (0)) __PYX_ERR(0, 967, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_5);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 3, __pyx_t_5) != (0)) __PYX_ERR(0, 967, __pyx_L1_error);
  __pyx_t_1 = 0;
  __pyx_t_2 = 0;
  __pyx_t_3 = 0;
  __pyx_t_5 = 0;
  __pyx_r = __pyx_t_6;
  __pyx_t_6 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":956
 * 
 * 
 * def calcCubicParameters(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     x2, y2 = pt2
 *     x3, y3 = pt3
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcCubicParameters", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_x2);
  __Pyx_XDECREF(__pyx_v_y2);
  __Pyx_XDECREF(__pyx_v_x3);
  __Pyx_XDECREF(__pyx_v_y3);
  __Pyx_XDECREF(__pyx_v_x4);
  __Pyx_XDECREF(__pyx_v_y4);
  __Pyx_XDECREF(__pyx_v_dx);
  __Pyx_XDECREF(__pyx_v_dy);
  __Pyx_XDECREF(__pyx_v_cx);
  __Pyx_XDECREF(__pyx_v_cy);
  __Pyx_XDECREF(__pyx_v_bx);
  __Pyx_XDECREF(__pyx_v_by);
  __Pyx_XDECREF(__pyx_v_ax);
  __Pyx_XDECREF(__pyx_v_ay);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":970
 * 
 * 
 * @cython.cfunc             # <<<<<<<<<<<<<<
 * @cython.inline
 * @cython.locals(
*/

static CYTHON_INLINE PyObject *__pyx_f_9fontTools_4misc_11bezierTools_calcCubicParametersC(__pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4) {
  __pyx_t_double_complex __pyx_v_a;
  __pyx_t_double_complex __pyx_v_b;
  __pyx_t_double_complex __pyx_v_c;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcCubicParametersC", 0);

  /* "fontTools/misc/bezierTools.py":982
 * )
 * def calcCubicParametersC(pt1, pt2, pt3, pt4):
 *     c = (pt2 - pt1) * 3.0             # <<<<<<<<<<<<<<
 *     b = (pt3 - pt2) * 3.0 - c
 *     a = pt4 - pt1 - c - b
*/
  __pyx_v_c = __Pyx_c_prod_double(__Pyx_c_diff_double(__pyx_v_pt2, __pyx_v_pt1), __pyx_t_double_complex_from_parts(3.0, 0));

  /* "fontTools/misc/bezierTools.py":983
 * def calcCubicParametersC(pt1, pt2, pt3, pt4):
 *     c = (pt2 - pt1) * 3.0
 *     b = (pt3 - pt2) * 3.0 - c             # <<<<<<<<<<<<<<
 *     a = pt4 - pt1 - c - b
 *     return (a, b, c, pt1)
*/
  __pyx_v_b = __Pyx_c_diff_double(__Pyx_c_prod_double(__Pyx_c_diff_double(__pyx_v_pt3, __pyx_v_pt2), __pyx_t_double_complex_from_parts(3.0, 0)), __pyx_v_c);

  /* "fontTools/misc/bezierTools.py":984
 *     c = (pt2 - pt1) * 3.0
 *     b = (pt3 - pt2) * 3.0 - c
 *     a = pt4 - pt1 - c - b             # <<<<<<<<<<<<<<
 *     return (a, b, c, pt1)
 * 
*/
  __pyx_v_a = __Pyx_c_diff_double(__Pyx_c_diff_double(__Pyx_c_diff_double(__pyx_v_pt4, __pyx_v_pt1), __pyx_v_c), __pyx_v_b);

  /* "fontTools/misc/bezierTools.py":985
 *     b = (pt3 - pt2) * 3.0 - c
 *     a = pt4 - pt1 - c - b
 *     return (a, b, c, pt1)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = __pyx_PyComplex_FromComplex(__pyx_v_a); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 985, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __pyx_PyComplex_FromComplex(__pyx_v_b); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 985, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __pyx_PyComplex_FromComplex(__pyx_v_c); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 985, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = __pyx_PyComplex_FromComplex(__pyx_v_pt1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 985, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_5 = PyTuple_New(4); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 985, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_1) != (0)) __PYX_ERR(0, 985, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_t_2) != (0)) __PYX_ERR(0, 985, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 2, __pyx_t_3) != (0)) __PYX_ERR(0, 985, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_4);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 3, __pyx_t_4) != (0)) __PYX_ERR(0, 985, __pyx_L1_error);
  __pyx_t_1 = 0;
  __pyx_t_2 = 0;
  __pyx_t_3 = 0;
  __pyx_t_4 = 0;
  __pyx_r = __pyx_t_5;
  __pyx_t_5 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":970
 * 
 * 
 * @cython.cfunc             # <<<<<<<<<<<<<<
 * @cython.inline
 * @cython.locals(
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcCubicParametersC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = 0;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":988
 * 
 * 
 * def calcQuadraticPoints(a, b, c):             # <<<<<<<<<<<<<<
 *     ax, ay = a
 *     bx, by = b
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_55calcQuadraticPoints(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_54calcQuadraticPoints, "calcQuadraticPoints(a, b, c)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_55calcQuadraticPoints = {"calcQuadraticPoints", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_55calcQuadraticPoints, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_54calcQuadraticPoints};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_55calcQuadraticPoints(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_a = 0;
  PyObject *__pyx_v_b = 0;
  PyObject *__pyx_v_c = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[3] = {0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("calcQuadraticPoints (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_a,&__pyx_mstate_global->__pyx_n_u_b,&__pyx_mstate_global->__pyx_n_u_c,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 988, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 988, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 988, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 988, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "calcQuadraticPoints", 0) < (0)) __PYX_ERR(0, 988, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 3; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("calcQuadraticPoints", 1, 3, 3, i); __PYX_ERR(0, 988, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 3)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 988, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 988, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 988, __pyx_L3_error)
    }
    __pyx_v_a = values[0];
    __pyx_v_b = values[1];
    __pyx_v_c = values[2];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcQuadraticPoints", 1, 3, 3, __pyx_nargs); __PYX_ERR(0, 988, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcQuadraticPoints", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_54calcQuadraticPoints(__pyx_self, __pyx_v_a, __pyx_v_b, __pyx_v_c);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_54calcQuadraticPoints(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c) {
  PyObject *__pyx_v_ax = NULL;
  PyObject *__pyx_v_ay = NULL;
  PyObject *__pyx_v_bx = NULL;
  PyObject *__pyx_v_by = NULL;
  PyObject *__pyx_v_cx = NULL;
  PyObject *__pyx_v_cy = NULL;
  PyObject *__pyx_v_x1 = NULL;
  PyObject *__pyx_v_y1 = NULL;
  PyObject *__pyx_v_x2 = NULL;
  PyObject *__pyx_v_y2 = NULL;
  PyObject *__pyx_v_x3 = NULL;
  PyObject *__pyx_v_y3 = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *(*__pyx_t_4)(PyObject *);
  PyObject *__pyx_t_5 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcQuadraticPoints", 0);

  /* "fontTools/misc/bezierTools.py":989
 * 
 * def calcQuadraticPoints(a, b, c):
 *     ax, ay = a             # <<<<<<<<<<<<<<
 *     bx, by = b
 *     cx, cy = c
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_a))) || (PyList_CheckExact(__pyx_v_a))) {
    PyObject* sequence = __pyx_v_a;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 989, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_1);
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_2);
    } else {
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 989, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 989, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
    }
    #else
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 989, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 989, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_a); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 989, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < (0)) __PYX_ERR(0, 989, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 989, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_ax = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_ay = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":990
 * def calcQuadraticPoints(a, b, c):
 *     ax, ay = a
 *     bx, by = b             # <<<<<<<<<<<<<<
 *     cx, cy = c
 *     x1 = cx
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_b))) || (PyList_CheckExact(__pyx_v_b))) {
    PyObject* sequence = __pyx_v_b;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 990, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_2);
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_1);
    } else {
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 990, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 990, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
    }
    #else
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 990, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 990, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_b); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 990, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < (0)) __PYX_ERR(0, 990, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L6_unpacking_done;
    __pyx_L5_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 990, __pyx_L1_error)
    __pyx_L6_unpacking_done:;
  }
  __pyx_v_bx = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_by = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":991
 *     ax, ay = a
 *     bx, by = b
 *     cx, cy = c             # <<<<<<<<<<<<<<
 *     x1 = cx
 *     y1 = cy
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_c))) || (PyList_CheckExact(__pyx_v_c))) {
    PyObject* sequence = __pyx_v_c;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 991, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_1);
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_2);
    } else {
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 991, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 991, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
    }
    #else
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 991, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 991, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_c); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 991, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < (0)) __PYX_ERR(0, 991, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L8_unpacking_done;
    __pyx_L7_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 991, __pyx_L1_error)
    __pyx_L8_unpacking_done:;
  }
  __pyx_v_cx = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_cy = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":992
 *     bx, by = b
 *     cx, cy = c
 *     x1 = cx             # <<<<<<<<<<<<<<
 *     y1 = cy
 *     x2 = (bx * 0.5) + cx
*/
  __Pyx_INCREF(__pyx_v_cx);
  __pyx_v_x1 = __pyx_v_cx;

  /* "fontTools/misc/bezierTools.py":993
 *     cx, cy = c
 *     x1 = cx
 *     y1 = cy             # <<<<<<<<<<<<<<
 *     x2 = (bx * 0.5) + cx
 *     y2 = (by * 0.5) + cy
*/
  __Pyx_INCREF(__pyx_v_cy);
  __pyx_v_y1 = __pyx_v_cy;

  /* "fontTools/misc/bezierTools.py":994
 *     x1 = cx
 *     y1 = cy
 *     x2 = (bx * 0.5) + cx             # <<<<<<<<<<<<<<
 *     y2 = (by * 0.5) + cy
 *     x3 = ax + bx + cx
*/
  __pyx_t_2 = PyNumber_Multiply(__pyx_v_bx, __pyx_mstate_global->__pyx_float_0_5); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 994, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyNumber_Add(__pyx_t_2, __pyx_v_cx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 994, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_x2 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":995
 *     y1 = cy
 *     x2 = (bx * 0.5) + cx
 *     y2 = (by * 0.5) + cy             # <<<<<<<<<<<<<<
 *     x3 = ax + bx + cx
 *     y3 = ay + by + cy
*/
  __pyx_t_1 = PyNumber_Multiply(__pyx_v_by, __pyx_mstate_global->__pyx_float_0_5); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 995, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Add(__pyx_t_1, __pyx_v_cy); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 995, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_v_y2 = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":996
 *     x2 = (bx * 0.5) + cx
 *     y2 = (by * 0.5) + cy
 *     x3 = ax + bx + cx             # <<<<<<<<<<<<<<
 *     y3 = ay + by + cy
 *     return (x1, y1), (x2, y2), (x3, y3)
*/
  __pyx_t_2 = PyNumber_Add(__pyx_v_ax, __pyx_v_bx); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 996, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyNumber_Add(__pyx_t_2, __pyx_v_cx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 996, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_x3 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":997
 *     y2 = (by * 0.5) + cy
 *     x3 = ax + bx + cx
 *     y3 = ay + by + cy             # <<<<<<<<<<<<<<
 *     return (x1, y1), (x2, y2), (x3, y3)
 * 
*/
  __pyx_t_1 = PyNumber_Add(__pyx_v_ay, __pyx_v_by); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 997, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Add(__pyx_t_1, __pyx_v_cy); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 997, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_v_y3 = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":998
 *     x3 = ax + bx + cx
 *     y3 = ay + by + cy
 *     return (x1, y1), (x2, y2), (x3, y3)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 998, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_INCREF(__pyx_v_x1);
  __Pyx_GIVEREF(__pyx_v_x1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_x1) != (0)) __PYX_ERR(0, 998, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_y1);
  __Pyx_GIVEREF(__pyx_v_y1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_y1) != (0)) __PYX_ERR(0, 998, __pyx_L1_error);
  __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 998, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_v_x2);
  __Pyx_GIVEREF(__pyx_v_x2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_x2) != (0)) __PYX_ERR(0, 998, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_y2);
  __Pyx_GIVEREF(__pyx_v_y2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_y2) != (0)) __PYX_ERR(0, 998, __pyx_L1_error);
  __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 998, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_INCREF(__pyx_v_x3);
  __Pyx_GIVEREF(__pyx_v_x3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_x3) != (0)) __PYX_ERR(0, 998, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_y3);
  __Pyx_GIVEREF(__pyx_v_y3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_v_y3) != (0)) __PYX_ERR(0, 998, __pyx_L1_error);
  __pyx_t_5 = PyTuple_New(3); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 998, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_2) != (0)) __PYX_ERR(0, 998, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_t_1) != (0)) __PYX_ERR(0, 998, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 2, __pyx_t_3) != (0)) __PYX_ERR(0, 998, __pyx_L1_error);
  __pyx_t_2 = 0;
  __pyx_t_1 = 0;
  __pyx_t_3 = 0;
  __pyx_r = __pyx_t_5;
  __pyx_t_5 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":988
 * 
 * 
 * def calcQuadraticPoints(a, b, c):             # <<<<<<<<<<<<<<
 *     ax, ay = a
 *     bx, by = b
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcQuadraticPoints", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_ax);
  __Pyx_XDECREF(__pyx_v_ay);
  __Pyx_XDECREF(__pyx_v_bx);
  __Pyx_XDECREF(__pyx_v_by);
  __Pyx_XDECREF(__pyx_v_cx);
  __Pyx_XDECREF(__pyx_v_cy);
  __Pyx_XDECREF(__pyx_v_x1);
  __Pyx_XDECREF(__pyx_v_y1);
  __Pyx_XDECREF(__pyx_v_x2);
  __Pyx_XDECREF(__pyx_v_y2);
  __Pyx_XDECREF(__pyx_v_x3);
  __Pyx_XDECREF(__pyx_v_y3);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1001
 * 
 * 
 * def calcCubicPoints(a, b, c, d):             # <<<<<<<<<<<<<<
 *     ax, ay = a
 *     bx, by = b
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_57calcCubicPoints(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_56calcCubicPoints, "calcCubicPoints(a, b, c, d)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_57calcCubicPoints = {"calcCubicPoints", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_57calcCubicPoints, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_56calcCubicPoints};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_57calcCubicPoints(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_a = 0;
  PyObject *__pyx_v_b = 0;
  PyObject *__pyx_v_c = 0;
  PyObject *__pyx_v_d = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("calcCubicPoints (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_a,&__pyx_mstate_global->__pyx_n_u_b,&__pyx_mstate_global->__pyx_n_u_c,&__pyx_mstate_global->__pyx_n_u_d,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 1001, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 1001, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 1001, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1001, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1001, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "calcCubicPoints", 0) < (0)) __PYX_ERR(0, 1001, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 4; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("calcCubicPoints", 1, 4, 4, i); __PYX_ERR(0, 1001, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1001, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1001, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 1001, __pyx_L3_error)
      values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 1001, __pyx_L3_error)
    }
    __pyx_v_a = values[0];
    __pyx_v_b = values[1];
    __pyx_v_c = values[2];
    __pyx_v_d = values[3];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcCubicPoints", 1, 4, 4, __pyx_nargs); __PYX_ERR(0, 1001, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcCubicPoints", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_56calcCubicPoints(__pyx_self, __pyx_v_a, __pyx_v_b, __pyx_v_c, __pyx_v_d);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_56calcCubicPoints(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_d) {
  PyObject *__pyx_v_ax = NULL;
  PyObject *__pyx_v_ay = NULL;
  PyObject *__pyx_v_bx = NULL;
  PyObject *__pyx_v_by = NULL;
  PyObject *__pyx_v_cx = NULL;
  PyObject *__pyx_v_cy = NULL;
  PyObject *__pyx_v_dx = NULL;
  PyObject *__pyx_v_dy = NULL;
  PyObject *__pyx_v_x1 = NULL;
  PyObject *__pyx_v_y1 = NULL;
  PyObject *__pyx_v_x2 = NULL;
  PyObject *__pyx_v_y2 = NULL;
  PyObject *__pyx_v_x3 = NULL;
  PyObject *__pyx_v_y3 = NULL;
  PyObject *__pyx_v_x4 = NULL;
  PyObject *__pyx_v_y4 = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *(*__pyx_t_4)(PyObject *);
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcCubicPoints", 0);

  /* "fontTools/misc/bezierTools.py":1002
 * 
 * def calcCubicPoints(a, b, c, d):
 *     ax, ay = a             # <<<<<<<<<<<<<<
 *     bx, by = b
 *     cx, cy = c
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_a))) || (PyList_CheckExact(__pyx_v_a))) {
    PyObject* sequence = __pyx_v_a;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 1002, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_1);
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_2);
    } else {
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1002, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1002, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
    }
    #else
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1002, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1002, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_a); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1002, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < (0)) __PYX_ERR(0, 1002, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 1002, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_ax = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_ay = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1003
 * def calcCubicPoints(a, b, c, d):
 *     ax, ay = a
 *     bx, by = b             # <<<<<<<<<<<<<<
 *     cx, cy = c
 *     dx, dy = d
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_b))) || (PyList_CheckExact(__pyx_v_b))) {
    PyObject* sequence = __pyx_v_b;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 1003, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_2);
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_1);
    } else {
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1003, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1003, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
    }
    #else
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1003, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1003, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_b); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1003, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < (0)) __PYX_ERR(0, 1003, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L6_unpacking_done;
    __pyx_L5_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 1003, __pyx_L1_error)
    __pyx_L6_unpacking_done:;
  }
  __pyx_v_bx = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_by = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1004
 *     ax, ay = a
 *     bx, by = b
 *     cx, cy = c             # <<<<<<<<<<<<<<
 *     dx, dy = d
 *     x1 = dx
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_c))) || (PyList_CheckExact(__pyx_v_c))) {
    PyObject* sequence = __pyx_v_c;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 1004, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_1);
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_2);
    } else {
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1004, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1004, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
    }
    #else
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1004, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1004, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_c); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1004, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < (0)) __PYX_ERR(0, 1004, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L8_unpacking_done;
    __pyx_L7_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 1004, __pyx_L1_error)
    __pyx_L8_unpacking_done:;
  }
  __pyx_v_cx = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_cy = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1005
 *     bx, by = b
 *     cx, cy = c
 *     dx, dy = d             # <<<<<<<<<<<<<<
 *     x1 = dx
 *     y1 = dy
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_d))) || (PyList_CheckExact(__pyx_v_d))) {
    PyObject* sequence = __pyx_v_d;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 1005, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_2);
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_1);
    } else {
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1005, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1005, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
    }
    #else
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1005, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1005, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_d); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1005, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L9_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L9_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < (0)) __PYX_ERR(0, 1005, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L10_unpacking_done;
    __pyx_L9_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 1005, __pyx_L1_error)
    __pyx_L10_unpacking_done:;
  }
  __pyx_v_dx = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_dy = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1006
 *     cx, cy = c
 *     dx, dy = d
 *     x1 = dx             # <<<<<<<<<<<<<<
 *     y1 = dy
 *     x2 = (cx / 3.0) + dx
*/
  __Pyx_INCREF(__pyx_v_dx);
  __pyx_v_x1 = __pyx_v_dx;

  /* "fontTools/misc/bezierTools.py":1007
 *     dx, dy = d
 *     x1 = dx
 *     y1 = dy             # <<<<<<<<<<<<<<
 *     x2 = (cx / 3.0) + dx
 *     y2 = (cy / 3.0) + dy
*/
  __Pyx_INCREF(__pyx_v_dy);
  __pyx_v_y1 = __pyx_v_dy;

  /* "fontTools/misc/bezierTools.py":1008
 *     x1 = dx
 *     y1 = dy
 *     x2 = (cx / 3.0) + dx             # <<<<<<<<<<<<<<
 *     y2 = (cy / 3.0) + dy
 *     x3 = (bx + cx) / 3.0 + x2
*/
  __pyx_t_1 = __Pyx_PyFloat_TrueDivideObjC(__pyx_v_cx, __pyx_mstate_global->__pyx_float_3_0, 3.0, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1008, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Add(__pyx_t_1, __pyx_v_dx); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1008, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_v_x2 = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1009
 *     y1 = dy
 *     x2 = (cx / 3.0) + dx
 *     y2 = (cy / 3.0) + dy             # <<<<<<<<<<<<<<
 *     x3 = (bx + cx) / 3.0 + x2
 *     y3 = (by + cy) / 3.0 + y2
*/
  __pyx_t_2 = __Pyx_PyFloat_TrueDivideObjC(__pyx_v_cy, __pyx_mstate_global->__pyx_float_3_0, 3.0, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1009, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyNumber_Add(__pyx_t_2, __pyx_v_dy); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1009, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_y2 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1010
 *     x2 = (cx / 3.0) + dx
 *     y2 = (cy / 3.0) + dy
 *     x3 = (bx + cx) / 3.0 + x2             # <<<<<<<<<<<<<<
 *     y3 = (by + cy) / 3.0 + y2
 *     x4 = ax + dx + cx + bx
*/
  __pyx_t_1 = PyNumber_Add(__pyx_v_bx, __pyx_v_cx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1010, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_1, __pyx_mstate_global->__pyx_float_3_0, 3.0, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1010, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Add(__pyx_t_2, __pyx_v_x2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1010, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_x3 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1011
 *     y2 = (cy / 3.0) + dy
 *     x3 = (bx + cx) / 3.0 + x2
 *     y3 = (by + cy) / 3.0 + y2             # <<<<<<<<<<<<<<
 *     x4 = ax + dx + cx + bx
 *     y4 = ay + dy + cy + by
*/
  __pyx_t_1 = PyNumber_Add(__pyx_v_by, __pyx_v_cy); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1011, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_1, __pyx_mstate_global->__pyx_float_3_0, 3.0, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1011, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Add(__pyx_t_2, __pyx_v_y2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1011, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_y3 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1012
 *     x3 = (bx + cx) / 3.0 + x2
 *     y3 = (by + cy) / 3.0 + y2
 *     x4 = ax + dx + cx + bx             # <<<<<<<<<<<<<<
 *     y4 = ay + dy + cy + by
 *     return (x1, y1), (x2, y2), (x3, y3), (x4, y4)
*/
  __pyx_t_1 = PyNumber_Add(__pyx_v_ax, __pyx_v_dx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1012, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Add(__pyx_t_1, __pyx_v_cx); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1012, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Add(__pyx_t_2, __pyx_v_bx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1012, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_x4 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1013
 *     y3 = (by + cy) / 3.0 + y2
 *     x4 = ax + dx + cx + bx
 *     y4 = ay + dy + cy + by             # <<<<<<<<<<<<<<
 *     return (x1, y1), (x2, y2), (x3, y3), (x4, y4)
 * 
*/
  __pyx_t_1 = PyNumber_Add(__pyx_v_ay, __pyx_v_dy); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1013, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Add(__pyx_t_1, __pyx_v_cy); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1013, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Add(__pyx_t_2, __pyx_v_by); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1013, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_y4 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1014
 *     x4 = ax + dx + cx + bx
 *     y4 = ay + dy + cy + by
 *     return (x1, y1), (x2, y2), (x3, y3), (x4, y4)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1014, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_v_x1);
  __Pyx_GIVEREF(__pyx_v_x1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_x1) != (0)) __PYX_ERR(0, 1014, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_y1);
  __Pyx_GIVEREF(__pyx_v_y1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_y1) != (0)) __PYX_ERR(0, 1014, __pyx_L1_error);
  __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1014, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_INCREF(__pyx_v_x2);
  __Pyx_GIVEREF(__pyx_v_x2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_x2) != (0)) __PYX_ERR(0, 1014, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_y2);
  __Pyx_GIVEREF(__pyx_v_y2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_y2) != (0)) __PYX_ERR(0, 1014, __pyx_L1_error);
  __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1014, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_INCREF(__pyx_v_x3);
  __Pyx_GIVEREF(__pyx_v_x3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_x3) != (0)) __PYX_ERR(0, 1014, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_y3);
  __Pyx_GIVEREF(__pyx_v_y3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_v_y3) != (0)) __PYX_ERR(0, 1014, __pyx_L1_error);
  __pyx_t_5 = PyTuple_New(2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1014, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_INCREF(__pyx_v_x4);
  __Pyx_GIVEREF(__pyx_v_x4);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_v_x4) != (0)) __PYX_ERR(0, 1014, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_y4);
  __Pyx_GIVEREF(__pyx_v_y4);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_v_y4) != (0)) __PYX_ERR(0, 1014, __pyx_L1_error);
  __pyx_t_6 = PyTuple_New(4); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1014, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_t_1) != (0)) __PYX_ERR(0, 1014, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_t_2) != (0)) __PYX_ERR(0, 1014, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 2, __pyx_t_3) != (0)) __PYX_ERR(0, 1014, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_5);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 3, __pyx_t_5) != (0)) __PYX_ERR(0, 1014, __pyx_L1_error);
  __pyx_t_1 = 0;
  __pyx_t_2 = 0;
  __pyx_t_3 = 0;
  __pyx_t_5 = 0;
  __pyx_r = __pyx_t_6;
  __pyx_t_6 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1001
 * 
 * 
 * def calcCubicPoints(a, b, c, d):             # <<<<<<<<<<<<<<
 *     ax, ay = a
 *     bx, by = b
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcCubicPoints", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_ax);
  __Pyx_XDECREF(__pyx_v_ay);
  __Pyx_XDECREF(__pyx_v_bx);
  __Pyx_XDECREF(__pyx_v_by);
  __Pyx_XDECREF(__pyx_v_cx);
  __Pyx_XDECREF(__pyx_v_cy);
  __Pyx_XDECREF(__pyx_v_dx);
  __Pyx_XDECREF(__pyx_v_dy);
  __Pyx_XDECREF(__pyx_v_x1);
  __Pyx_XDECREF(__pyx_v_y1);
  __Pyx_XDECREF(__pyx_v_x2);
  __Pyx_XDECREF(__pyx_v_y2);
  __Pyx_XDECREF(__pyx_v_x3);
  __Pyx_XDECREF(__pyx_v_y3);
  __Pyx_XDECREF(__pyx_v_x4);
  __Pyx_XDECREF(__pyx_v_y4);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1017
 * 
 * 
 * @cython.cfunc             # <<<<<<<<<<<<<<
 * @cython.inline
 * @cython.locals(
*/

static CYTHON_INLINE PyObject *__pyx_f_9fontTools_4misc_11bezierTools_calcCubicPointsC(__pyx_t_double_complex __pyx_v_a, __pyx_t_double_complex __pyx_v_b, __pyx_t_double_complex __pyx_v_c, __pyx_t_double_complex __pyx_v_d) {
  __pyx_t_double_complex __pyx_v_p2;
  __pyx_t_double_complex __pyx_v_p3;
  __pyx_t_double_complex __pyx_v_p4;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcCubicPointsC", 0);

  /* "fontTools/misc/bezierTools.py":1029
 * )
 * def calcCubicPointsC(a, b, c, d):
 *     p2 = c * (1 / 3) + d             # <<<<<<<<<<<<<<
 *     p3 = (b + c) * (1 / 3) + p2
 *     p4 = a + b + c + d
*/
  __pyx_v_p2 = __Pyx_c_sum_double(__Pyx_c_prod_double(__pyx_v_c, __pyx_t_double_complex_from_parts((1.0 / 3.0), 0)), __pyx_v_d);

  /* "fontTools/misc/bezierTools.py":1030
 * def calcCubicPointsC(a, b, c, d):
 *     p2 = c * (1 / 3) + d
 *     p3 = (b + c) * (1 / 3) + p2             # <<<<<<<<<<<<<<
 *     p4 = a + b + c + d
 *     return (d, p2, p3, p4)
*/
  __pyx_v_p3 = __Pyx_c_sum_double(__Pyx_c_prod_double(__Pyx_c_sum_double(__pyx_v_b, __pyx_v_c), __pyx_t_double_complex_from_parts((1.0 / 3.0), 0)), __pyx_v_p2);

  /* "fontTools/misc/bezierTools.py":1031
 *     p2 = c * (1 / 3) + d
 *     p3 = (b + c) * (1 / 3) + p2
 *     p4 = a + b + c + d             # <<<<<<<<<<<<<<
 *     return (d, p2, p3, p4)
 * 
*/
  __pyx_v_p4 = __Pyx_c_sum_double(__Pyx_c_sum_double(__Pyx_c_sum_double(__pyx_v_a, __pyx_v_b), __pyx_v_c), __pyx_v_d);

  /* "fontTools/misc/bezierTools.py":1032
 *     p3 = (b + c) * (1 / 3) + p2
 *     p4 = a + b + c + d
 *     return (d, p2, p3, p4)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = __pyx_PyComplex_FromComplex(__pyx_v_d); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1032, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __pyx_PyComplex_FromComplex(__pyx_v_p2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1032, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __pyx_PyComplex_FromComplex(__pyx_v_p3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1032, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = __pyx_PyComplex_FromComplex(__pyx_v_p4); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1032, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_5 = PyTuple_New(4); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1032, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_1) != (0)) __PYX_ERR(0, 1032, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_t_2) != (0)) __PYX_ERR(0, 1032, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 2, __pyx_t_3) != (0)) __PYX_ERR(0, 1032, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_4);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 3, __pyx_t_4) != (0)) __PYX_ERR(0, 1032, __pyx_L1_error);
  __pyx_t_1 = 0;
  __pyx_t_2 = 0;
  __pyx_t_3 = 0;
  __pyx_t_4 = 0;
  __pyx_r = __pyx_t_5;
  __pyx_t_5 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1017
 * 
 * 
 * @cython.cfunc             # <<<<<<<<<<<<<<
 * @cython.inline
 * @cython.locals(
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcCubicPointsC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = 0;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1040
 * 
 * 
 * def linePointAtT(pt1, pt2, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a line.
 * 
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_59linePointAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_58linePointAtT, "linePointAtT(pt1, pt2, t)\n\nFinds the point at time `t` on a line.\n\nArgs:\n    pt1, pt2: Coordinates of the line as 2D tuples.\n    t: The time along the line.\n\nReturns:\n    A 2D tuple with the coordinates of the point.");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_59linePointAtT = {"linePointAtT", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_59linePointAtT, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_58linePointAtT};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_59linePointAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_t = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[3] = {0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("linePointAtT (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_pt1,&__pyx_mstate_global->__pyx_n_u_pt2,&__pyx_mstate_global->__pyx_n_u_t,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 1040, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 1040, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1040, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1040, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "linePointAtT", 0) < (0)) __PYX_ERR(0, 1040, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 3; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("linePointAtT", 1, 3, 3, i); __PYX_ERR(0, 1040, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 3)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1040, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1040, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 1040, __pyx_L3_error)
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_t = values[2];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("linePointAtT", 1, 3, 3, __pyx_nargs); __PYX_ERR(0, 1040, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.linePointAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_58linePointAtT(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_t);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_58linePointAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_t) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("linePointAtT", 0);

  /* "fontTools/misc/bezierTools.py":1050
 *         A 2D tuple with the coordinates of the point.
 *     """
 *     return ((pt1[0] * (1 - t) + pt2[0] * t), (pt1[1] * (1 - t) + pt2[1] * t))             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_pt1, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1050, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyLong_SubtractCObj(__pyx_mstate_global->__pyx_int_1, __pyx_v_t, 1, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1050, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyNumber_Multiply(__pyx_t_1, __pyx_t_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1050, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_pt2, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1050, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyNumber_Multiply(__pyx_t_2, __pyx_v_t); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1050, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Add(__pyx_t_3, __pyx_t_1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1050, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_pt1, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1050, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = __Pyx_PyLong_SubtractCObj(__pyx_mstate_global->__pyx_int_1, __pyx_v_t, 1, 0, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1050, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = PyNumber_Multiply(__pyx_t_1, __pyx_t_3); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1050, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_pt2, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1050, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_1 = PyNumber_Multiply(__pyx_t_3, __pyx_v_t); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1050, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = PyNumber_Add(__pyx_t_4, __pyx_t_1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1050, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1050, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_t_2) != (0)) __PYX_ERR(0, 1050, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_t_3) != (0)) __PYX_ERR(0, 1050, __pyx_L1_error);
  __pyx_t_2 = 0;
  __pyx_t_3 = 0;
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1040
 * 
 * 
 * def linePointAtT(pt1, pt2, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a line.
 * 
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.linePointAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1053
 * 
 * 
 * def quadraticPointAtT(pt1, pt2, pt3, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a quadratic curve.
 * 
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_61quadraticPointAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_60quadraticPointAtT, "quadraticPointAtT(pt1, pt2, pt3, t)\n\nFinds the point at time `t` on a quadratic curve.\n\nArgs:\n    pt1, pt2, pt3: Coordinates of the curve as 2D tuples.\n    t: The time along the curve.\n\nReturns:\n    A 2D tuple with the coordinates of the point.");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_61quadraticPointAtT = {"quadraticPointAtT", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_61quadraticPointAtT, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_60quadraticPointAtT};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_61quadraticPointAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  PyObject *__pyx_v_t = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("quadraticPointAtT (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_pt1,&__pyx_mstate_global->__pyx_n_u_pt2,&__pyx_mstate_global->__pyx_n_u_pt3,&__pyx_mstate_global->__pyx_n_u_t,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 1053, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 1053, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 1053, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1053, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1053, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "quadraticPointAtT", 0) < (0)) __PYX_ERR(0, 1053, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 4; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("quadraticPointAtT", 1, 4, 4, i); __PYX_ERR(0, 1053, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1053, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1053, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 1053, __pyx_L3_error)
      values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 1053, __pyx_L3_error)
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
    __pyx_v_t = values[3];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("quadraticPointAtT", 1, 4, 4, __pyx_nargs); __PYX_ERR(0, 1053, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.quadraticPointAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_60quadraticPointAtT(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_t);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_60quadraticPointAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_t) {
  PyObject *__pyx_v_x = NULL;
  PyObject *__pyx_v_y = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("quadraticPointAtT", 0);

  /* "fontTools/misc/bezierTools.py":1063
 *         A 2D tuple with the coordinates of the point.
 *     """
 *     x = (1 - t) * (1 - t) * pt1[0] + 2 * (1 - t) * t * pt2[0] + t * t * pt3[0]             # <<<<<<<<<<<<<<
 *     y = (1 - t) * (1 - t) * pt1[1] + 2 * (1 - t) * t * pt2[1] + t * t * pt3[1]
 *     return (x, y)
*/
  __pyx_t_1 = __Pyx_PyLong_SubtractCObj(__pyx_mstate_global->__pyx_int_1, __pyx_v_t, 1, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1063, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyLong_SubtractCObj(__pyx_mstate_global->__pyx_int_1, __pyx_v_t, 1, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1063, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyNumber_Multiply(__pyx_t_1, __pyx_t_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1063, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_pt1, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1063, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyNumber_Multiply(__pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1063, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_PyLong_SubtractCObj(__pyx_mstate_global->__pyx_int_1, __pyx_v_t, 1, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1063, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __Pyx_PyLong_MultiplyCObj(__pyx_mstate_global->__pyx_int_2, __pyx_t_2, 2, 0, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1063, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Multiply(__pyx_t_3, __pyx_v_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1063, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_pt2, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1063, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = PyNumber_Multiply(__pyx_t_2, __pyx_t_3); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1063, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = PyNumber_Add(__pyx_t_1, __pyx_t_4); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1063, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = PyNumber_Multiply(__pyx_v_t, __pyx_v_t); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1063, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_pt3, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1063, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Multiply(__pyx_t_4, __pyx_t_1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1063, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Add(__pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1063, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_x = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1064
 *     """
 *     x = (1 - t) * (1 - t) * pt1[0] + 2 * (1 - t) * t * pt2[0] + t * t * pt3[0]
 *     y = (1 - t) * (1 - t) * pt1[1] + 2 * (1 - t) * t * pt2[1] + t * t * pt3[1]             # <<<<<<<<<<<<<<
 *     return (x, y)
 * 
*/
  __pyx_t_1 = __Pyx_PyLong_SubtractCObj(__pyx_mstate_global->__pyx_int_1, __pyx_v_t, 1, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1064, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyLong_SubtractCObj(__pyx_mstate_global->__pyx_int_1, __pyx_v_t, 1, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1064, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyNumber_Multiply(__pyx_t_1, __pyx_t_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1064, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_pt1, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1064, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyNumber_Multiply(__pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1064, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_PyLong_SubtractCObj(__pyx_mstate_global->__pyx_int_1, __pyx_v_t, 1, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1064, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __Pyx_PyLong_MultiplyCObj(__pyx_mstate_global->__pyx_int_2, __pyx_t_2, 2, 0, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1064, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Multiply(__pyx_t_3, __pyx_v_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1064, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_pt2, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1064, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = PyNumber_Multiply(__pyx_t_2, __pyx_t_3); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1064, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = PyNumber_Add(__pyx_t_1, __pyx_t_4); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1064, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = PyNumber_Multiply(__pyx_v_t, __pyx_v_t); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1064, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_pt3, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1064, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Multiply(__pyx_t_4, __pyx_t_1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1064, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Add(__pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1064, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_y = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1065
 *     x = (1 - t) * (1 - t) * pt1[0] + 2 * (1 - t) * t * pt2[0] + t * t * pt3[0]
 *     y = (1 - t) * (1 - t) * pt1[1] + 2 * (1 - t) * t * pt2[1] + t * t * pt3[1]
 *     return (x, y)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1065, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_v_x);
  __Pyx_GIVEREF(__pyx_v_x);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_x) != (0)) __PYX_ERR(0, 1065, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_y);
  __Pyx_GIVEREF(__pyx_v_y);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_y) != (0)) __PYX_ERR(0, 1065, __pyx_L1_error);
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1053
 * 
 * 
 * def quadraticPointAtT(pt1, pt2, pt3, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a quadratic curve.
 * 
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.quadraticPointAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_x);
  __Pyx_XDECREF(__pyx_v_y);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1068
 * 
 * 
 * def cubicPointAtT(pt1, pt2, pt3, pt4, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a cubic curve.
 * 
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_63cubicPointAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_62cubicPointAtT, "cubicPointAtT(pt1, pt2, pt3, pt4, t)\n\nFinds the point at time `t` on a cubic curve.\n\nArgs:\n    pt1, pt2, pt3, pt4: Coordinates of the curve as 2D tuples.\n    t: The time along the curve.\n\nReturns:\n    A 2D tuple with the coordinates of the point.");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_63cubicPointAtT = {"cubicPointAtT", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_63cubicPointAtT, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_62cubicPointAtT};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_63cubicPointAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  PyObject *__pyx_v_pt4 = 0;
  PyObject *__pyx_v_t = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[5] = {0,0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("cubicPointAtT (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_pt1,&__pyx_mstate_global->__pyx_n_u_pt2,&__pyx_mstate_global->__pyx_n_u_pt3,&__pyx_mstate_global->__pyx_n_u_pt4,&__pyx_mstate_global->__pyx_n_u_t,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 1068, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  5:
        values[4] = __Pyx_ArgRef_FASTCALL(__pyx_args, 4);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[4])) __PYX_ERR(0, 1068, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 1068, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 1068, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1068, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1068, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "cubicPointAtT", 0) < (0)) __PYX_ERR(0, 1068, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 5; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("cubicPointAtT", 1, 5, 5, i); __PYX_ERR(0, 1068, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 5)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1068, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1068, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 1068, __pyx_L3_error)
      values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 1068, __pyx_L3_error)
      values[4] = __Pyx_ArgRef_FASTCALL(__pyx_args, 4);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[4])) __PYX_ERR(0, 1068, __pyx_L3_error)
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
    __pyx_v_pt4 = values[3];
    __pyx_v_t = values[4];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("cubicPointAtT", 1, 5, 5, __pyx_nargs); __PYX_ERR(0, 1068, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.cubicPointAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_62cubicPointAtT(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4, __pyx_v_t);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_62cubicPointAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4, PyObject *__pyx_v_t) {
  PyObject *__pyx_v_t2 = NULL;
  PyObject *__pyx_v__1_t = NULL;
  PyObject *__pyx_v__1_t_2 = NULL;
  PyObject *__pyx_v_x = NULL;
  PyObject *__pyx_v_y = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("cubicPointAtT", 0);

  /* "fontTools/misc/bezierTools.py":1078
 *         A 2D tuple with the coordinates of the point.
 *     """
 *     t2 = t * t             # <<<<<<<<<<<<<<
 *     _1_t = 1 - t
 *     _1_t_2 = _1_t * _1_t
*/
  __pyx_t_1 = PyNumber_Multiply(__pyx_v_t, __pyx_v_t); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1078, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_t2 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1079
 *     """
 *     t2 = t * t
 *     _1_t = 1 - t             # <<<<<<<<<<<<<<
 *     _1_t_2 = _1_t * _1_t
 *     x = (
*/
  __pyx_t_1 = __Pyx_PyLong_SubtractCObj(__pyx_mstate_global->__pyx_int_1, __pyx_v_t, 1, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1079, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v__1_t = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1080
 *     t2 = t * t
 *     _1_t = 1 - t
 *     _1_t_2 = _1_t * _1_t             # <<<<<<<<<<<<<<
 *     x = (
 *         _1_t_2 * _1_t * pt1[0]
*/
  __pyx_t_1 = PyNumber_Multiply(__pyx_v__1_t, __pyx_v__1_t); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1080, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v__1_t_2 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1082
 *     _1_t_2 = _1_t * _1_t
 *     x = (
 *         _1_t_2 * _1_t * pt1[0]             # <<<<<<<<<<<<<<
 *         + 3 * (_1_t_2 * t * pt2[0] + _1_t * t2 * pt3[0])
 *         + t2 * t * pt4[0]
*/
  __pyx_t_1 = PyNumber_Multiply(__pyx_v__1_t_2, __pyx_v__1_t); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1082, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_pt1, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1082, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyNumber_Multiply(__pyx_t_1, __pyx_t_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1082, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1083
 *     x = (
 *         _1_t_2 * _1_t * pt1[0]
 *         + 3 * (_1_t_2 * t * pt2[0] + _1_t * t2 * pt3[0])             # <<<<<<<<<<<<<<
 *         + t2 * t * pt4[0]
 *     )
*/
  __pyx_t_2 = PyNumber_Multiply(__pyx_v__1_t_2, __pyx_v_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1083, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_pt2, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1083, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_4 = PyNumber_Multiply(__pyx_t_2, __pyx_t_1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1083, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Multiply(__pyx_v__1_t, __pyx_v_t2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1083, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_pt3, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1083, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_5 = PyNumber_Multiply(__pyx_t_1, __pyx_t_2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1083, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Add(__pyx_t_4, __pyx_t_5); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1083, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_t_5 = __Pyx_PyLong_MultiplyCObj(__pyx_mstate_global->__pyx_int_3, __pyx_t_2, 3, 0, 0); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1083, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Add(__pyx_t_3, __pyx_t_5); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1083, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;

  /* "fontTools/misc/bezierTools.py":1084
 *         _1_t_2 * _1_t * pt1[0]
 *         + 3 * (_1_t_2 * t * pt2[0] + _1_t * t2 * pt3[0])
 *         + t2 * t * pt4[0]             # <<<<<<<<<<<<<<
 *     )
 *     y = (
*/
  __pyx_t_5 = PyNumber_Multiply(__pyx_v_t2, __pyx_v_t); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1084, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_pt4, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1084, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = PyNumber_Multiply(__pyx_t_5, __pyx_t_3); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1084, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = PyNumber_Add(__pyx_t_2, __pyx_t_4); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1084, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_v_x = __pyx_t_3;
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1087
 *     )
 *     y = (
 *         _1_t_2 * _1_t * pt1[1]             # <<<<<<<<<<<<<<
 *         + 3 * (_1_t_2 * t * pt2[1] + _1_t * t2 * pt3[1])
 *         + t2 * t * pt4[1]
*/
  __pyx_t_3 = PyNumber_Multiply(__pyx_v__1_t_2, __pyx_v__1_t); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1087, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = __Pyx_GetItemInt(__pyx_v_pt1, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1087, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_2 = PyNumber_Multiply(__pyx_t_3, __pyx_t_4); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1087, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;

  /* "fontTools/misc/bezierTools.py":1088
 *     y = (
 *         _1_t_2 * _1_t * pt1[1]
 *         + 3 * (_1_t_2 * t * pt2[1] + _1_t * t2 * pt3[1])             # <<<<<<<<<<<<<<
 *         + t2 * t * pt4[1]
 *     )
*/
  __pyx_t_4 = PyNumber_Multiply(__pyx_v__1_t_2, __pyx_v_t); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1088, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_pt2, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1088, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_5 = PyNumber_Multiply(__pyx_t_4, __pyx_t_3); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1088, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = PyNumber_Multiply(__pyx_v__1_t, __pyx_v_t2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1088, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = __Pyx_GetItemInt(__pyx_v_pt3, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1088, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_1 = PyNumber_Multiply(__pyx_t_3, __pyx_t_4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1088, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = PyNumber_Add(__pyx_t_5, __pyx_t_1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1088, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = __Pyx_PyLong_MultiplyCObj(__pyx_mstate_global->__pyx_int_3, __pyx_t_4, 3, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1088, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = PyNumber_Add(__pyx_t_2, __pyx_t_1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1088, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1089
 *         _1_t_2 * _1_t * pt1[1]
 *         + 3 * (_1_t_2 * t * pt2[1] + _1_t * t2 * pt3[1])
 *         + t2 * t * pt4[1]             # <<<<<<<<<<<<<<
 *     )
 *     return (x, y)
*/
  __pyx_t_1 = PyNumber_Multiply(__pyx_v_t2, __pyx_v_t); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1089, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_pt4, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1089, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_5 = PyNumber_Multiply(__pyx_t_1, __pyx_t_2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1089, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Add(__pyx_t_4, __pyx_t_5); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1089, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_v_y = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1091
 *         + t2 * t * pt4[1]
 *     )
 *     return (x, y)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1091, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_INCREF(__pyx_v_x);
  __Pyx_GIVEREF(__pyx_v_x);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_x) != (0)) __PYX_ERR(0, 1091, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_y);
  __Pyx_GIVEREF(__pyx_v_y);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_y) != (0)) __PYX_ERR(0, 1091, __pyx_L1_error);
  __pyx_r = __pyx_t_2;
  __pyx_t_2 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1068
 * 
 * 
 * def cubicPointAtT(pt1, pt2, pt3, pt4, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a cubic curve.
 * 
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.cubicPointAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_t2);
  __Pyx_XDECREF(__pyx_v__1_t);
  __Pyx_XDECREF(__pyx_v__1_t_2);
  __Pyx_XDECREF(__pyx_v_x);
  __Pyx_XDECREF(__pyx_v_y);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1094
 * 
 * 
 * @cython.returns(cython.complex)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     t=cython.double,
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_65cubicPointAtTC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_64cubicPointAtTC, "cubicPointAtTC(double complex pt1, double complex pt2, double complex pt3, double complex pt4, double t)\n\nFinds the point at time `t` on a cubic curve.\n\nArgs:\n    pt1, pt2, pt3, pt4: Coordinates of the curve as complex numbers.\n    t: The time along the curve.\n\nReturns:\n    A complex number with the coordinates of the point.");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_65cubicPointAtTC = {"cubicPointAtTC", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_65cubicPointAtTC, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_64cubicPointAtTC};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_65cubicPointAtTC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  __pyx_t_double_complex __pyx_v_pt1;
  __pyx_t_double_complex __pyx_v_pt2;
  __pyx_t_double_complex __pyx_v_pt3;
  __pyx_t_double_complex __pyx_v_pt4;
  double __pyx_v_t;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[5] = {0,0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("cubicPointAtTC (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_pt1,&__pyx_mstate_global->__pyx_n_u_pt2,&__pyx_mstate_global->__pyx_n_u_pt3,&__pyx_mstate_global->__pyx_n_u_pt4,&__pyx_mstate_global->__pyx_n_u_t,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 1094, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  5:
        values[4] = __Pyx_ArgRef_FASTCALL(__pyx_args, 4);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[4])) __PYX_ERR(0, 1094, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 1094, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 1094, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1094, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1094, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "cubicPointAtTC", 0) < (0)) __PYX_ERR(0, 1094, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 5; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("cubicPointAtTC", 1, 5, 5, i); __PYX_ERR(0, 1094, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 5)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1094, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1094, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 1094, __pyx_L3_error)
      values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 1094, __pyx_L3_error)
      values[4] = __Pyx_ArgRef_FASTCALL(__pyx_args, 4);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[4])) __PYX_ERR(0, 1094, __pyx_L3_error)
    }
    __pyx_v_pt1 = __Pyx_PyComplex_As___pyx_t_double_complex(values[0]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1103, __pyx_L3_error)
    __pyx_v_pt2 = __Pyx_PyComplex_As___pyx_t_double_complex(values[1]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1103, __pyx_L3_error)
    __pyx_v_pt3 = __Pyx_PyComplex_As___pyx_t_double_complex(values[2]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1103, __pyx_L3_error)
    __pyx_v_pt4 = __Pyx_PyComplex_As___pyx_t_double_complex(values[3]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1103, __pyx_L3_error)
    __pyx_v_t = __Pyx_PyFloat_AsDouble(values[4]); if (unlikely((__pyx_v_t == (double)-1) && PyErr_Occurred())) __PYX_ERR(0, 1103, __pyx_L3_error)
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("cubicPointAtTC", 1, 5, 5, __pyx_nargs); __PYX_ERR(0, 1094, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.cubicPointAtTC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_64cubicPointAtTC(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4, __pyx_v_t);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_64cubicPointAtTC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4, double __pyx_v_t) {
  double __pyx_v_t2;
  double __pyx_v__1_t;
  double __pyx_v__1_t_2;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  __pyx_t_double_complex __pyx_t_1;
  PyObject *__pyx_t_2 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("cubicPointAtTC", 0);

  /* "fontTools/misc/bezierTools.py":1113
 *         A complex number with the coordinates of the point.
 *     """
 *     t2 = t * t             # <<<<<<<<<<<<<<
 *     _1_t = 1 - t
 *     _1_t_2 = _1_t * _1_t
*/
  __pyx_v_t2 = (__pyx_v_t * __pyx_v_t);

  /* "fontTools/misc/bezierTools.py":1114
 *     """
 *     t2 = t * t
 *     _1_t = 1 - t             # <<<<<<<<<<<<<<
 *     _1_t_2 = _1_t * _1_t
 *     return _1_t_2 * _1_t * pt1 + 3 * (_1_t_2 * t * pt2 + _1_t * t2 * pt3) + t2 * t * pt4
*/
  __pyx_v__1_t = (1.0 - __pyx_v_t);

  /* "fontTools/misc/bezierTools.py":1115
 *     t2 = t * t
 *     _1_t = 1 - t
 *     _1_t_2 = _1_t * _1_t             # <<<<<<<<<<<<<<
 *     return _1_t_2 * _1_t * pt1 + 3 * (_1_t_2 * t * pt2 + _1_t * t2 * pt3) + t2 * t * pt4
 * 
*/
  __pyx_v__1_t_2 = (__pyx_v__1_t * __pyx_v__1_t);

  /* "fontTools/misc/bezierTools.py":1116
 *     _1_t = 1 - t
 *     _1_t_2 = _1_t * _1_t
 *     return _1_t_2 * _1_t * pt1 + 3 * (_1_t_2 * t * pt2 + _1_t * t2 * pt3) + t2 * t * pt4             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = __Pyx_c_sum_double(__Pyx_c_sum_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts((__pyx_v__1_t_2 * __pyx_v__1_t), 0), __pyx_v_pt1), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(3, 0), __Pyx_c_sum_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts((__pyx_v__1_t_2 * __pyx_v_t), 0), __pyx_v_pt2), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts((__pyx_v__1_t * __pyx_v_t2), 0), __pyx_v_pt3)))), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts((__pyx_v_t2 * __pyx_v_t), 0), __pyx_v_pt4));
  __pyx_t_2 = __pyx_PyComplex_FromComplex(__pyx_t_1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1116, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_r = __pyx_t_2;
  __pyx_t_2 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1094
 * 
 * 
 * @cython.returns(cython.complex)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     t=cython.double,
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.cubicPointAtTC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1119
 * 
 * 
 * def segmentPointAtT(seg, t):             # <<<<<<<<<<<<<<
 *     if len(seg) == 2:
 *         return linePointAtT(*seg, t)
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_67segmentPointAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_66segmentPointAtT, "segmentPointAtT(seg, t)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_67segmentPointAtT = {"segmentPointAtT", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_67segmentPointAtT, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_66segmentPointAtT};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_67segmentPointAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_seg = 0;
  PyObject *__pyx_v_t = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[2] = {0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("segmentPointAtT (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_seg,&__pyx_mstate_global->__pyx_n_u_t,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 1119, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1119, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1119, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "segmentPointAtT", 0) < (0)) __PYX_ERR(0, 1119, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 2; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("segmentPointAtT", 1, 2, 2, i); __PYX_ERR(0, 1119, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 2)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1119, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1119, __pyx_L3_error)
    }
    __pyx_v_seg = values[0];
    __pyx_v_t = values[1];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("segmentPointAtT", 1, 2, 2, __pyx_nargs); __PYX_ERR(0, 1119, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.segmentPointAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_66segmentPointAtT(__pyx_self, __pyx_v_seg, __pyx_v_t);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_66segmentPointAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_seg, PyObject *__pyx_v_t) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  Py_ssize_t __pyx_t_1;
  int __pyx_t_2;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  size_t __pyx_t_7;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("segmentPointAtT", 0);

  /* "fontTools/misc/bezierTools.py":1120
 * 
 * def segmentPointAtT(seg, t):
 *     if len(seg) == 2:             # <<<<<<<<<<<<<<
 *         return linePointAtT(*seg, t)
 *     elif len(seg) == 3:
*/
  __pyx_t_1 = PyObject_Length(__pyx_v_seg); if (unlikely(__pyx_t_1 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1120, __pyx_L1_error)
  __pyx_t_2 = (__pyx_t_1 == 2);
  if (__pyx_t_2) {

    /* "fontTools/misc/bezierTools.py":1121
 * def segmentPointAtT(seg, t):
 *     if len(seg) == 2:
 *         return linePointAtT(*seg, t)             # <<<<<<<<<<<<<<
 *     elif len(seg) == 3:
 *         return quadraticPointAtT(*seg, t)
*/
    __Pyx_XDECREF(__pyx_r);
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_linePointAtT); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1121, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PySequence_Tuple(__pyx_v_seg); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1121, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_5 = PyTuple_New(1); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1121, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_INCREF(__pyx_v_t);
    __Pyx_GIVEREF(__pyx_v_t);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_v_t) != (0)) __PYX_ERR(0, 1121, __pyx_L1_error);
    __pyx_t_6 = PyNumber_Add(__pyx_t_4, __pyx_t_5); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1121, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __pyx_t_5 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_6, NULL); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1121, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_r = __pyx_t_5;
    __pyx_t_5 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1120
 * 
 * def segmentPointAtT(seg, t):
 *     if len(seg) == 2:             # <<<<<<<<<<<<<<
 *         return linePointAtT(*seg, t)
 *     elif len(seg) == 3:
*/
  }

  /* "fontTools/misc/bezierTools.py":1122
 *     if len(seg) == 2:
 *         return linePointAtT(*seg, t)
 *     elif len(seg) == 3:             # <<<<<<<<<<<<<<
 *         return quadraticPointAtT(*seg, t)
 *     elif len(seg) == 4:
*/
  __pyx_t_1 = PyObject_Length(__pyx_v_seg); if (unlikely(__pyx_t_1 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1122, __pyx_L1_error)
  __pyx_t_2 = (__pyx_t_1 == 3);
  if (__pyx_t_2) {

    /* "fontTools/misc/bezierTools.py":1123
 *         return linePointAtT(*seg, t)
 *     elif len(seg) == 3:
 *         return quadraticPointAtT(*seg, t)             # <<<<<<<<<<<<<<
 *     elif len(seg) == 4:
 *         return cubicPointAtT(*seg, t)
*/
    __Pyx_XDECREF(__pyx_r);
    __Pyx_GetModuleGlobalName(__pyx_t_5, __pyx_mstate_global->__pyx_n_u_quadraticPointAtT); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1123, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_6 = __Pyx_PySequence_Tuple(__pyx_v_seg); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1123, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1123, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_INCREF(__pyx_v_t);
    __Pyx_GIVEREF(__pyx_v_t);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_t) != (0)) __PYX_ERR(0, 1123, __pyx_L1_error);
    __pyx_t_4 = PyNumber_Add(__pyx_t_6, __pyx_t_3); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1123, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_5, __pyx_t_4, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1123, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_r = __pyx_t_3;
    __pyx_t_3 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1122
 *     if len(seg) == 2:
 *         return linePointAtT(*seg, t)
 *     elif len(seg) == 3:             # <<<<<<<<<<<<<<
 *         return quadraticPointAtT(*seg, t)
 *     elif len(seg) == 4:
*/
  }

  /* "fontTools/misc/bezierTools.py":1124
 *     elif len(seg) == 3:
 *         return quadraticPointAtT(*seg, t)
 *     elif len(seg) == 4:             # <<<<<<<<<<<<<<
 *         return cubicPointAtT(*seg, t)
 *     raise ValueError("Unknown curve degree")
*/
  __pyx_t_1 = PyObject_Length(__pyx_v_seg); if (unlikely(__pyx_t_1 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1124, __pyx_L1_error)
  __pyx_t_2 = (__pyx_t_1 == 4);
  if (__pyx_t_2) {

    /* "fontTools/misc/bezierTools.py":1125
 *         return quadraticPointAtT(*seg, t)
 *     elif len(seg) == 4:
 *         return cubicPointAtT(*seg, t)             # <<<<<<<<<<<<<<
 *     raise ValueError("Unknown curve degree")
 * 
*/
    __Pyx_XDECREF(__pyx_r);
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_cubicPointAtT); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1125, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PySequence_Tuple(__pyx_v_seg); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1125, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_5 = PyTuple_New(1); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1125, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_INCREF(__pyx_v_t);
    __Pyx_GIVEREF(__pyx_v_t);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_v_t) != (0)) __PYX_ERR(0, 1125, __pyx_L1_error);
    __pyx_t_6 = PyNumber_Add(__pyx_t_4, __pyx_t_5); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1125, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __pyx_t_5 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_6, NULL); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1125, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_r = __pyx_t_5;
    __pyx_t_5 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1124
 *     elif len(seg) == 3:
 *         return quadraticPointAtT(*seg, t)
 *     elif len(seg) == 4:             # <<<<<<<<<<<<<<
 *         return cubicPointAtT(*seg, t)
 *     raise ValueError("Unknown curve degree")
*/
  }

  /* "fontTools/misc/bezierTools.py":1126
 *     elif len(seg) == 4:
 *         return cubicPointAtT(*seg, t)
 *     raise ValueError("Unknown curve degree")             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_t_6 = NULL;
  __pyx_t_7 = 1;
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_6, __pyx_mstate_global->__pyx_kp_u_Unknown_curve_degree};
    __pyx_t_5 = __Pyx_PyObject_FastCall((PyObject*)(((PyTypeObject*)PyExc_ValueError)), __pyx_callargs+__pyx_t_7, (2-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
    if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1126, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
  }
  __Pyx_Raise(__pyx_t_5, 0, 0, 0);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __PYX_ERR(0, 1126, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1119
 * 
 * 
 * def segmentPointAtT(seg, t):             # <<<<<<<<<<<<<<
 *     if len(seg) == 2:
 *         return linePointAtT(*seg, t)
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.segmentPointAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1134
 * 
 * 
 * def _line_t_of_pt(s, e, pt):             # <<<<<<<<<<<<<<
 *     sx, sy = s
 *     ex, ey = e
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_69_line_t_of_pt(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_68_line_t_of_pt, "_line_t_of_pt(s, e, pt)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_69_line_t_of_pt = {"_line_t_of_pt", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_69_line_t_of_pt, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_68_line_t_of_pt};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_69_line_t_of_pt(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_s = 0;
  PyObject *__pyx_v_e = 0;
  PyObject *__pyx_v_pt = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[3] = {0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_line_t_of_pt (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_s,&__pyx_mstate_global->__pyx_n_u_e,&__pyx_mstate_global->__pyx_n_u_pt,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 1134, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 1134, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1134, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1134, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "_line_t_of_pt", 0) < (0)) __PYX_ERR(0, 1134, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 3; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("_line_t_of_pt", 1, 3, 3, i); __PYX_ERR(0, 1134, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 3)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1134, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1134, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 1134, __pyx_L3_error)
    }
    __pyx_v_s = values[0];
    __pyx_v_e = values[1];
    __pyx_v_pt = values[2];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_line_t_of_pt", 1, 3, 3, __pyx_nargs); __PYX_ERR(0, 1134, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._line_t_of_pt", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_68_line_t_of_pt(__pyx_self, __pyx_v_s, __pyx_v_e, __pyx_v_pt);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_68_line_t_of_pt(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_s, PyObject *__pyx_v_e, PyObject *__pyx_v_pt) {
  PyObject *__pyx_v_sx = NULL;
  PyObject *__pyx_v_sy = NULL;
  PyObject *__pyx_v_ex = NULL;
  PyObject *__pyx_v_ey = NULL;
  PyObject *__pyx_v_px = NULL;
  PyObject *__pyx_v_py = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *(*__pyx_t_4)(PyObject *);
  int __pyx_t_5;
  int __pyx_t_6;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_line_t_of_pt", 0);

  /* "fontTools/misc/bezierTools.py":1135
 * 
 * def _line_t_of_pt(s, e, pt):
 *     sx, sy = s             # <<<<<<<<<<<<<<
 *     ex, ey = e
 *     px, py = pt
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_s))) || (PyList_CheckExact(__pyx_v_s))) {
    PyObject* sequence = __pyx_v_s;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 1135, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_1);
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_2);
    } else {
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1135, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1135, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
    }
    #else
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1135, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1135, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_s); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1135, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < (0)) __PYX_ERR(0, 1135, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 1135, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_sx = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_sy = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1136
 * def _line_t_of_pt(s, e, pt):
 *     sx, sy = s
 *     ex, ey = e             # <<<<<<<<<<<<<<
 *     px, py = pt
 *     if abs(sx - ex) < epsilon and abs(sy - ey) < epsilon:
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_e))) || (PyList_CheckExact(__pyx_v_e))) {
    PyObject* sequence = __pyx_v_e;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 1136, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_2);
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_1);
    } else {
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1136, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1136, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
    }
    #else
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1136, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1136, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_e); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1136, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < (0)) __PYX_ERR(0, 1136, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L6_unpacking_done;
    __pyx_L5_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 1136, __pyx_L1_error)
    __pyx_L6_unpacking_done:;
  }
  __pyx_v_ex = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_ey = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1137
 *     sx, sy = s
 *     ex, ey = e
 *     px, py = pt             # <<<<<<<<<<<<<<
 *     if abs(sx - ex) < epsilon and abs(sy - ey) < epsilon:
 *         # Line is a point!
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_pt))) || (PyList_CheckExact(__pyx_v_pt))) {
    PyObject* sequence = __pyx_v_pt;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 1137, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_1);
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_2);
    } else {
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1137, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1137, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
    }
    #else
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1137, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1137, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_pt); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1137, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < (0)) __PYX_ERR(0, 1137, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L8_unpacking_done;
    __pyx_L7_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 1137, __pyx_L1_error)
    __pyx_L8_unpacking_done:;
  }
  __pyx_v_px = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_py = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1138
 *     ex, ey = e
 *     px, py = pt
 *     if abs(sx - ex) < epsilon and abs(sy - ey) < epsilon:             # <<<<<<<<<<<<<<
 *         # Line is a point!
 *         return -1
*/
  __pyx_t_2 = PyNumber_Subtract(__pyx_v_sx, __pyx_v_ex); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1138, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = __Pyx_PyNumber_Absolute(__pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1138, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_epsilon); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1138, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyObject_RichCompare(__pyx_t_1, __pyx_t_2, Py_LT); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1138, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely((__pyx_t_6 < 0))) __PYX_ERR(0, 1138, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  if (__pyx_t_6) {
  } else {
    __pyx_t_5 = __pyx_t_6;
    goto __pyx_L10_bool_binop_done;
  }
  __pyx_t_3 = PyNumber_Subtract(__pyx_v_sy, __pyx_v_ey); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1138, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = __Pyx_PyNumber_Absolute(__pyx_t_3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1138, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_epsilon); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1138, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_1 = PyObject_RichCompare(__pyx_t_2, __pyx_t_3, Py_LT); __Pyx_XGOTREF(__pyx_t_1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1138, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_6 < 0))) __PYX_ERR(0, 1138, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_5 = __pyx_t_6;
  __pyx_L10_bool_binop_done:;
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1140
 *     if abs(sx - ex) < epsilon and abs(sy - ey) < epsilon:
 *         # Line is a point!
 *         return -1             # <<<<<<<<<<<<<<
 *     # Use the largest
 *     if abs(sx - ex) > abs(sy - ey):
*/
    __Pyx_XDECREF(__pyx_r);
    __Pyx_INCREF(__pyx_mstate_global->__pyx_int_neg_1);
    __pyx_r = __pyx_mstate_global->__pyx_int_neg_1;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1138
 *     ex, ey = e
 *     px, py = pt
 *     if abs(sx - ex) < epsilon and abs(sy - ey) < epsilon:             # <<<<<<<<<<<<<<
 *         # Line is a point!
 *         return -1
*/
  }

  /* "fontTools/misc/bezierTools.py":1142
 *         return -1
 *     # Use the largest
 *     if abs(sx - ex) > abs(sy - ey):             # <<<<<<<<<<<<<<
 *         return (px - sx) / (ex - sx)
 *     else:
*/
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_sx, __pyx_v_ex); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1142, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = __Pyx_PyNumber_Absolute(__pyx_t_1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1142, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_sy, __pyx_v_ey); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1142, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyNumber_Absolute(__pyx_t_1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1142, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyObject_RichCompare(__pyx_t_3, __pyx_t_2, Py_GT); __Pyx_XGOTREF(__pyx_t_1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1142, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 1142, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1143
 *     # Use the largest
 *     if abs(sx - ex) > abs(sy - ey):
 *         return (px - sx) / (ex - sx)             # <<<<<<<<<<<<<<
 *     else:
 *         return (py - sy) / (ey - sy)
*/
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_1 = PyNumber_Subtract(__pyx_v_px, __pyx_v_sx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1143, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PyNumber_Subtract(__pyx_v_ex, __pyx_v_sx); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1143, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_3 = __Pyx_PyNumber_Divide(__pyx_t_1, __pyx_t_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1143, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_r = __pyx_t_3;
    __pyx_t_3 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1142
 *         return -1
 *     # Use the largest
 *     if abs(sx - ex) > abs(sy - ey):             # <<<<<<<<<<<<<<
 *         return (px - sx) / (ex - sx)
 *     else:
*/
  }

  /* "fontTools/misc/bezierTools.py":1145
 *         return (px - sx) / (ex - sx)
 *     else:
 *         return (py - sy) / (ey - sy)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  /*else*/ {
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_3 = PyNumber_Subtract(__pyx_v_py, __pyx_v_sy); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1145, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_2 = PyNumber_Subtract(__pyx_v_ey, __pyx_v_sy); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1145, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_PyNumber_Divide(__pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1145, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    goto __pyx_L0;
  }

  /* "fontTools/misc/bezierTools.py":1134
 * 
 * 
 * def _line_t_of_pt(s, e, pt):             # <<<<<<<<<<<<<<
 *     sx, sy = s
 *     ex, ey = e
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._line_t_of_pt", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_sx);
  __Pyx_XDECREF(__pyx_v_sy);
  __Pyx_XDECREF(__pyx_v_ex);
  __Pyx_XDECREF(__pyx_v_ey);
  __Pyx_XDECREF(__pyx_v_px);
  __Pyx_XDECREF(__pyx_v_py);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1148
 * 
 * 
 * def _both_points_are_on_same_side_of_origin(a, b, origin):             # <<<<<<<<<<<<<<
 *     xDiff = (a[0] - origin[0]) * (b[0] - origin[0])
 *     yDiff = (a[1] - origin[1]) * (b[1] - origin[1])
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_71_both_points_are_on_same_side_of_origin(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_70_both_points_are_on_same_side_of_origin, "_both_points_are_on_same_side_of_origin(a, b, origin)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_71_both_points_are_on_same_side_of_origin = {"_both_points_are_on_same_side_of_origin", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_71_both_points_are_on_same_side_of_origin, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_70_both_points_are_on_same_side_of_origin};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_71_both_points_are_on_same_side_of_origin(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_a = 0;
  PyObject *__pyx_v_b = 0;
  PyObject *__pyx_v_origin = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[3] = {0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_both_points_are_on_same_side_of_origin (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_a,&__pyx_mstate_global->__pyx_n_u_b,&__pyx_mstate_global->__pyx_n_u_origin,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 1148, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 1148, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1148, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1148, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "_both_points_are_on_same_side_of_origin", 0) < (0)) __PYX_ERR(0, 1148, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 3; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("_both_points_are_on_same_side_of_origin", 1, 3, 3, i); __PYX_ERR(0, 1148, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 3)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1148, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1148, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 1148, __pyx_L3_error)
    }
    __pyx_v_a = values[0];
    __pyx_v_b = values[1];
    __pyx_v_origin = values[2];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_both_points_are_on_same_side_of_origin", 1, 3, 3, __pyx_nargs); __PYX_ERR(0, 1148, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._both_points_are_on_same_side_of_origin", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_70_both_points_are_on_same_side_of_origin(__pyx_self, __pyx_v_a, __pyx_v_b, __pyx_v_origin);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_70_both_points_are_on_same_side_of_origin(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_origin) {
  PyObject *__pyx_v_xDiff = NULL;
  PyObject *__pyx_v_yDiff = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  int __pyx_t_5;
  int __pyx_t_6;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_both_points_are_on_same_side_of_origin", 0);

  /* "fontTools/misc/bezierTools.py":1149
 * 
 * def _both_points_are_on_same_side_of_origin(a, b, origin):
 *     xDiff = (a[0] - origin[0]) * (b[0] - origin[0])             # <<<<<<<<<<<<<<
 *     yDiff = (a[1] - origin[1]) * (b[1] - origin[1])
 *     return not (xDiff <= 0.0 and yDiff <= 0.0)
*/
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_a, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1149, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_origin, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1149, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyNumber_Subtract(__pyx_t_1, __pyx_t_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1149, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_b, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1149, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_origin, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1149, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_4 = PyNumber_Subtract(__pyx_t_2, __pyx_t_1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1149, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Multiply(__pyx_t_3, __pyx_t_4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1149, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_v_xDiff = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1150
 * def _both_points_are_on_same_side_of_origin(a, b, origin):
 *     xDiff = (a[0] - origin[0]) * (b[0] - origin[0])
 *     yDiff = (a[1] - origin[1]) * (b[1] - origin[1])             # <<<<<<<<<<<<<<
 *     return not (xDiff <= 0.0 and yDiff <= 0.0)
 * 
*/
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_a, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1150, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_4 = __Pyx_GetItemInt(__pyx_v_origin, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1150, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_3 = PyNumber_Subtract(__pyx_t_1, __pyx_t_4); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1150, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = __Pyx_GetItemInt(__pyx_v_b, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1150, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_origin, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1150, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Subtract(__pyx_t_4, __pyx_t_1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1150, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Multiply(__pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1150, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_yDiff = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1151
 *     xDiff = (a[0] - origin[0]) * (b[0] - origin[0])
 *     yDiff = (a[1] - origin[1]) * (b[1] - origin[1])
 *     return not (xDiff <= 0.0 and yDiff <= 0.0)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyObject_RichCompare(__pyx_v_xDiff, __pyx_mstate_global->__pyx_float_0_0, Py_LE); __Pyx_XGOTREF(__pyx_t_1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1151, __pyx_L1_error)
  __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_6 < 0))) __PYX_ERR(0, 1151, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_6) {
  } else {
    __pyx_t_5 = __pyx_t_6;
    goto __pyx_L3_bool_binop_done;
  }
  __pyx_t_1 = PyObject_RichCompare(__pyx_v_yDiff, __pyx_mstate_global->__pyx_float_0_0, Py_LE); __Pyx_XGOTREF(__pyx_t_1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1151, __pyx_L1_error)
  __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_6 < 0))) __PYX_ERR(0, 1151, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_5 = __pyx_t_6;
  __pyx_L3_bool_binop_done:;
  __pyx_t_1 = __Pyx_PyBool_FromLong((!__pyx_t_5)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1151, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1148
 * 
 * 
 * def _both_points_are_on_same_side_of_origin(a, b, origin):             # <<<<<<<<<<<<<<
 *     xDiff = (a[0] - origin[0]) * (b[0] - origin[0])
 *     yDiff = (a[1] - origin[1]) * (b[1] - origin[1])
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._both_points_are_on_same_side_of_origin", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_xDiff);
  __Pyx_XDECREF(__pyx_v_yDiff);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1154
 * 
 * 
 * def lineLineIntersections(s1, e1, s2, e2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between two line segments.
 * 
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_73lineLineIntersections(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_72lineLineIntersections, "lineLineIntersections(s1, e1, s2, e2)\n\nFinds intersections between two line segments.\n\nArgs:\n    s1, e1: Coordinates of the first line as 2D tuples.\n    s2, e2: Coordinates of the second line as 2D tuples.\n\nReturns:\n    A list of ``Intersection`` objects, each object having ``pt``, ``t1``\n    and ``t2`` attributes containing the intersection point, time on first\n    segment and time on second segment respectively.\n\nExamples::\n\n    >>> a = lineLineIntersections( (310,389), (453, 222), (289, 251), (447, 367))\n    >>> len(a)\n    1\n    >>> intersection = a[0]\n    >>> intersection.pt\n    (374.44882952482897, 313.73458370177315)\n    >>> (intersection.t1, intersection.t2)\n    (0.45069111555824465, 0.5408153767394238)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_73lineLineIntersections = {"lineLineIntersections", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_73lineLineIntersections, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_72lineLineIntersections};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_73lineLineIntersections(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_s1 = 0;
  PyObject *__pyx_v_e1 = 0;
  PyObject *__pyx_v_s2 = 0;
  PyObject *__pyx_v_e2 = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("lineLineIntersections (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_s1,&__pyx_mstate_global->__pyx_n_u_e1,&__pyx_mstate_global->__pyx_n_u_s2,&__pyx_mstate_global->__pyx_n_u_e2,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 1154, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 1154, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 1154, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1154, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1154, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "lineLineIntersections", 0) < (0)) __PYX_ERR(0, 1154, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 4; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("lineLineIntersections", 1, 4, 4, i); __PYX_ERR(0, 1154, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1154, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1154, __pyx_L3_error)
      values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 1154, __pyx_L3_error)
      values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 1154, __pyx_L3_error)
    }
    __pyx_v_s1 = values[0];
    __pyx_v_e1 = values[1];
    __pyx_v_s2 = values[2];
    __pyx_v_e2 = values[3];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("lineLineIntersections", 1, 4, 4, __pyx_nargs); __PYX_ERR(0, 1154, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.lineLineIntersections", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_72lineLineIntersections(__pyx_self, __pyx_v_s1, __pyx_v_e1, __pyx_v_s2, __pyx_v_e2);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_72lineLineIntersections(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_s1, PyObject *__pyx_v_e1, PyObject *__pyx_v_s2, PyObject *__pyx_v_e2) {
  PyObject *__pyx_v_s1x = NULL;
  PyObject *__pyx_v_s1y = NULL;
  PyObject *__pyx_v_e1x = NULL;
  PyObject *__pyx_v_e1y = NULL;
  PyObject *__pyx_v_s2x = NULL;
  PyObject *__pyx_v_s2y = NULL;
  PyObject *__pyx_v_e2x = NULL;
  PyObject *__pyx_v_e2y = NULL;
  PyObject *__pyx_v_x = NULL;
  PyObject *__pyx_v_slope34 = NULL;
  PyObject *__pyx_v_y = NULL;
  PyObject *__pyx_v_pt = NULL;
  PyObject *__pyx_v_slope12 = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *(*__pyx_t_4)(PyObject *);
  int __pyx_t_5;
  PyObject *__pyx_t_6 = NULL;
  size_t __pyx_t_7;
  int __pyx_t_8;
  int __pyx_t_9;
  PyObject *__pyx_t_10 = NULL;
  PyObject *__pyx_t_11 = NULL;
  PyObject *__pyx_t_12 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("lineLineIntersections", 0);

  /* "fontTools/misc/bezierTools.py":1177
 *         (0.45069111555824465, 0.5408153767394238)
 *     """
 *     s1x, s1y = s1             # <<<<<<<<<<<<<<
 *     e1x, e1y = e1
 *     s2x, s2y = s2
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_s1))) || (PyList_CheckExact(__pyx_v_s1))) {
    PyObject* sequence = __pyx_v_s1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 1177, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_1);
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_2);
    } else {
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1177, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1177, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
    }
    #else
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1177, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1177, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_s1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1177, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < (0)) __PYX_ERR(0, 1177, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 1177, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_s1x = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_s1y = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1178
 *     """
 *     s1x, s1y = s1
 *     e1x, e1y = e1             # <<<<<<<<<<<<<<
 *     s2x, s2y = s2
 *     e2x, e2y = e2
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_e1))) || (PyList_CheckExact(__pyx_v_e1))) {
    PyObject* sequence = __pyx_v_e1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 1178, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_2);
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_1);
    } else {
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1178, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1178, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
    }
    #else
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1178, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1178, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_e1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1178, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < (0)) __PYX_ERR(0, 1178, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L6_unpacking_done;
    __pyx_L5_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 1178, __pyx_L1_error)
    __pyx_L6_unpacking_done:;
  }
  __pyx_v_e1x = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_e1y = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1179
 *     s1x, s1y = s1
 *     e1x, e1y = e1
 *     s2x, s2y = s2             # <<<<<<<<<<<<<<
 *     e2x, e2y = e2
 *     if (
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_s2))) || (PyList_CheckExact(__pyx_v_s2))) {
    PyObject* sequence = __pyx_v_s2;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 1179, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_1);
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_2);
    } else {
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1179, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1179, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
    }
    #else
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1179, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1179, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_s2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1179, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < (0)) __PYX_ERR(0, 1179, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L8_unpacking_done;
    __pyx_L7_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 1179, __pyx_L1_error)
    __pyx_L8_unpacking_done:;
  }
  __pyx_v_s2x = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_s2y = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1180
 *     e1x, e1y = e1
 *     s2x, s2y = s2
 *     e2x, e2y = e2             # <<<<<<<<<<<<<<
 *     if (
 *         math.isclose(s2x, e2x) and math.isclose(s1x, e1x) and not math.isclose(s1x, s2x)
*/
  if ((likely(PyTuple_CheckExact(__pyx_v_e2))) || (PyList_CheckExact(__pyx_v_e2))) {
    PyObject* sequence = __pyx_v_e2;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 1180, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_2);
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_1);
    } else {
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1180, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1180, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
    }
    #else
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1180, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1180, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_e2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1180, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L9_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L9_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < (0)) __PYX_ERR(0, 1180, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L10_unpacking_done;
    __pyx_L9_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 1180, __pyx_L1_error)
    __pyx_L10_unpacking_done:;
  }
  __pyx_v_e2x = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_e2y = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1182
 *     e2x, e2y = e2
 *     if (
 *         math.isclose(s2x, e2x) and math.isclose(s1x, e1x) and not math.isclose(s1x, s2x)             # <<<<<<<<<<<<<<
 *     ):  # Parallel vertical
 *         return []
*/
  __pyx_t_2 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_math); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1182, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_6 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_isclose); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1182, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_7 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_6))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_6);
    assert(__pyx_t_2);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_6);
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_6, __pyx__function);
    __pyx_t_7 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_2, __pyx_v_s2x, __pyx_v_e2x};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_6, __pyx_callargs+__pyx_t_7, (3-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1182, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_t_8 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_8 < 0))) __PYX_ERR(0, 1182, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_8) {
  } else {
    __pyx_t_5 = __pyx_t_8;
    goto __pyx_L12_bool_binop_done;
  }
  __pyx_t_6 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_math); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1182, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_isclose); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1182, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_7 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_6 = PyMethod_GET_SELF(__pyx_t_3);
    assert(__pyx_t_6);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_6);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
    __pyx_t_7 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_6, __pyx_v_s1x, __pyx_v_e1x};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_7, (3-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1182, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_t_8 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_8 < 0))) __PYX_ERR(0, 1182, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_8) {
  } else {
    __pyx_t_5 = __pyx_t_8;
    goto __pyx_L12_bool_binop_done;
  }
  __pyx_t_3 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_6, __pyx_mstate_global->__pyx_n_u_math); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1182, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_6, __pyx_mstate_global->__pyx_n_u_isclose); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1182, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_t_7 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    assert(__pyx_t_3);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_3);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_2, __pyx__function);
    __pyx_t_7 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_3, __pyx_v_s1x, __pyx_v_s2x};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_2, __pyx_callargs+__pyx_t_7, (3-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1182, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_t_8 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_8 < 0))) __PYX_ERR(0, 1182, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_9 = (!__pyx_t_8);
  __pyx_t_5 = __pyx_t_9;
  __pyx_L12_bool_binop_done:;

  /* "fontTools/misc/bezierTools.py":1181
 *     s2x, s2y = s2
 *     e2x, e2y = e2
 *     if (             # <<<<<<<<<<<<<<
 *         math.isclose(s2x, e2x) and math.isclose(s1x, e1x) and not math.isclose(s1x, s2x)
 *     ):  # Parallel vertical
*/
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1184
 *         math.isclose(s2x, e2x) and math.isclose(s1x, e1x) and not math.isclose(s1x, s2x)
 *     ):  # Parallel vertical
 *         return []             # <<<<<<<<<<<<<<
 *     if (
 *         math.isclose(s2y, e2y) and math.isclose(s1y, e1y) and not math.isclose(s1y, s2y)
*/
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1184, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1181
 *     s2x, s2y = s2
 *     e2x, e2y = e2
 *     if (             # <<<<<<<<<<<<<<
 *         math.isclose(s2x, e2x) and math.isclose(s1x, e1x) and not math.isclose(s1x, s2x)
 *     ):  # Parallel vertical
*/
  }

  /* "fontTools/misc/bezierTools.py":1186
 *         return []
 *     if (
 *         math.isclose(s2y, e2y) and math.isclose(s1y, e1y) and not math.isclose(s1y, s2y)             # <<<<<<<<<<<<<<
 *     ):  # Parallel horizontal
 *         return []
*/
  __pyx_t_2 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_math); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1186, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_6 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_isclose); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1186, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_7 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_6))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_6);
    assert(__pyx_t_2);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_6);
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_6, __pyx__function);
    __pyx_t_7 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_2, __pyx_v_s2y, __pyx_v_e2y};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_6, __pyx_callargs+__pyx_t_7, (3-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1186, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_t_9 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_9 < 0))) __PYX_ERR(0, 1186, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_9) {
  } else {
    __pyx_t_5 = __pyx_t_9;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_6 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_math); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1186, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_isclose); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1186, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_7 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_6 = PyMethod_GET_SELF(__pyx_t_3);
    assert(__pyx_t_6);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_6);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
    __pyx_t_7 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_6, __pyx_v_s1y, __pyx_v_e1y};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_7, (3-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1186, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_t_9 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_9 < 0))) __PYX_ERR(0, 1186, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_9) {
  } else {
    __pyx_t_5 = __pyx_t_9;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_3 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_6, __pyx_mstate_global->__pyx_n_u_math); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1186, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_6, __pyx_mstate_global->__pyx_n_u_isclose); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1186, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_t_7 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    assert(__pyx_t_3);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_3);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_2, __pyx__function);
    __pyx_t_7 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_3, __pyx_v_s1y, __pyx_v_s2y};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_2, __pyx_callargs+__pyx_t_7, (3-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1186, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_t_9 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_9 < 0))) __PYX_ERR(0, 1186, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_8 = (!__pyx_t_9);
  __pyx_t_5 = __pyx_t_8;
  __pyx_L16_bool_binop_done:;

  /* "fontTools/misc/bezierTools.py":1185
 *     ):  # Parallel vertical
 *         return []
 *     if (             # <<<<<<<<<<<<<<
 *         math.isclose(s2y, e2y) and math.isclose(s1y, e1y) and not math.isclose(s1y, s2y)
 *     ):  # Parallel horizontal
*/
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1188
 *         math.isclose(s2y, e2y) and math.isclose(s1y, e1y) and not math.isclose(s1y, s2y)
 *     ):  # Parallel horizontal
 *         return []             # <<<<<<<<<<<<<<
 *     if math.isclose(s2x, e2x) and math.isclose(s2y, e2y):  # Line segment is tiny
 *         return []
*/
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1188, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1185
 *     ):  # Parallel vertical
 *         return []
 *     if (             # <<<<<<<<<<<<<<
 *         math.isclose(s2y, e2y) and math.isclose(s1y, e1y) and not math.isclose(s1y, s2y)
 *     ):  # Parallel horizontal
*/
  }

  /* "fontTools/misc/bezierTools.py":1189
 *     ):  # Parallel horizontal
 *         return []
 *     if math.isclose(s2x, e2x) and math.isclose(s2y, e2y):  # Line segment is tiny             # <<<<<<<<<<<<<<
 *         return []
 *     if math.isclose(s1x, e1x) and math.isclose(s1y, e1y):  # Line segment is tiny
*/
  __pyx_t_2 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_math); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1189, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_6 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_isclose); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1189, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_7 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_6))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_6);
    assert(__pyx_t_2);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_6);
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_6, __pyx__function);
    __pyx_t_7 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_2, __pyx_v_s2x, __pyx_v_e2x};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_6, __pyx_callargs+__pyx_t_7, (3-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1189, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_t_8 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_8 < 0))) __PYX_ERR(0, 1189, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_8) {
  } else {
    __pyx_t_5 = __pyx_t_8;
    goto __pyx_L20_bool_binop_done;
  }
  __pyx_t_6 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_math); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1189, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_isclose); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1189, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_7 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_6 = PyMethod_GET_SELF(__pyx_t_3);
    assert(__pyx_t_6);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_6);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
    __pyx_t_7 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_6, __pyx_v_s2y, __pyx_v_e2y};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_7, (3-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1189, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_t_8 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_8 < 0))) __PYX_ERR(0, 1189, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_5 = __pyx_t_8;
  __pyx_L20_bool_binop_done:;
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1190
 *         return []
 *     if math.isclose(s2x, e2x) and math.isclose(s2y, e2y):  # Line segment is tiny
 *         return []             # <<<<<<<<<<<<<<
 *     if math.isclose(s1x, e1x) and math.isclose(s1y, e1y):  # Line segment is tiny
 *         return []
*/
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1190, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1189
 *     ):  # Parallel horizontal
 *         return []
 *     if math.isclose(s2x, e2x) and math.isclose(s2y, e2y):  # Line segment is tiny             # <<<<<<<<<<<<<<
 *         return []
 *     if math.isclose(s1x, e1x) and math.isclose(s1y, e1y):  # Line segment is tiny
*/
  }

  /* "fontTools/misc/bezierTools.py":1191
 *     if math.isclose(s2x, e2x) and math.isclose(s2y, e2y):  # Line segment is tiny
 *         return []
 *     if math.isclose(s1x, e1x) and math.isclose(s1y, e1y):  # Line segment is tiny             # <<<<<<<<<<<<<<
 *         return []
 *     if math.isclose(e1x, s1x):
*/
  __pyx_t_3 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_6, __pyx_mstate_global->__pyx_n_u_math); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1191, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_6, __pyx_mstate_global->__pyx_n_u_isclose); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1191, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_t_7 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    assert(__pyx_t_3);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_3);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_2, __pyx__function);
    __pyx_t_7 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_3, __pyx_v_s1x, __pyx_v_e1x};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_2, __pyx_callargs+__pyx_t_7, (3-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1191, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_t_8 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_8 < 0))) __PYX_ERR(0, 1191, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_8) {
  } else {
    __pyx_t_5 = __pyx_t_8;
    goto __pyx_L23_bool_binop_done;
  }
  __pyx_t_2 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_math); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1191, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_6 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_isclose); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1191, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_7 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_6))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_6);
    assert(__pyx_t_2);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_6);
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_6, __pyx__function);
    __pyx_t_7 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_2, __pyx_v_s1y, __pyx_v_e1y};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_6, __pyx_callargs+__pyx_t_7, (3-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1191, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_t_8 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_8 < 0))) __PYX_ERR(0, 1191, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_5 = __pyx_t_8;
  __pyx_L23_bool_binop_done:;
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1192
 *         return []
 *     if math.isclose(s1x, e1x) and math.isclose(s1y, e1y):  # Line segment is tiny
 *         return []             # <<<<<<<<<<<<<<
 *     if math.isclose(e1x, s1x):
 *         x = s1x
*/
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1192, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1191
 *     if math.isclose(s2x, e2x) and math.isclose(s2y, e2y):  # Line segment is tiny
 *         return []
 *     if math.isclose(s1x, e1x) and math.isclose(s1y, e1y):  # Line segment is tiny             # <<<<<<<<<<<<<<
 *         return []
 *     if math.isclose(e1x, s1x):
*/
  }

  /* "fontTools/misc/bezierTools.py":1193
 *     if math.isclose(s1x, e1x) and math.isclose(s1y, e1y):  # Line segment is tiny
 *         return []
 *     if math.isclose(e1x, s1x):             # <<<<<<<<<<<<<<
 *         x = s1x
 *         slope34 = (e2y - s2y) / (e2x - s2x)
*/
  __pyx_t_6 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_math); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1193, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_isclose); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1193, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_7 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_6 = PyMethod_GET_SELF(__pyx_t_3);
    assert(__pyx_t_6);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_6);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
    __pyx_t_7 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_6, __pyx_v_e1x, __pyx_v_s1x};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_7, (3-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1193, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 1193, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1194
 *         return []
 *     if math.isclose(e1x, s1x):
 *         x = s1x             # <<<<<<<<<<<<<<
 *         slope34 = (e2y - s2y) / (e2x - s2x)
 *         y = slope34 * (x - s2x) + s2y
*/
    __Pyx_INCREF(__pyx_v_s1x);
    __pyx_v_x = __pyx_v_s1x;

    /* "fontTools/misc/bezierTools.py":1195
 *     if math.isclose(e1x, s1x):
 *         x = s1x
 *         slope34 = (e2y - s2y) / (e2x - s2x)             # <<<<<<<<<<<<<<
 *         y = slope34 * (x - s2x) + s2y
 *         pt = (x, y)
*/
    __pyx_t_1 = PyNumber_Subtract(__pyx_v_e2y, __pyx_v_s2y); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1195, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = PyNumber_Subtract(__pyx_v_e2x, __pyx_v_s2x); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1195, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_6 = __Pyx_PyNumber_Divide(__pyx_t_1, __pyx_t_3); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1195, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_v_slope34 = __pyx_t_6;
    __pyx_t_6 = 0;

    /* "fontTools/misc/bezierTools.py":1196
 *         x = s1x
 *         slope34 = (e2y - s2y) / (e2x - s2x)
 *         y = slope34 * (x - s2x) + s2y             # <<<<<<<<<<<<<<
 *         pt = (x, y)
 *         return [
*/
    __pyx_t_6 = PyNumber_Subtract(__pyx_v_x, __pyx_v_s2x); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1196, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_3 = PyNumber_Multiply(__pyx_v_slope34, __pyx_t_6); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1196, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_6 = PyNumber_Add(__pyx_t_3, __pyx_v_s2y); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1196, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_v_y = __pyx_t_6;
    __pyx_t_6 = 0;

    /* "fontTools/misc/bezierTools.py":1197
 *         slope34 = (e2y - s2y) / (e2x - s2x)
 *         y = slope34 * (x - s2x) + s2y
 *         pt = (x, y)             # <<<<<<<<<<<<<<
 *         return [
 *             Intersection(
*/
    __pyx_t_6 = PyTuple_New(2); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1197, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_INCREF(__pyx_v_x);
    __Pyx_GIVEREF(__pyx_v_x);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_v_x) != (0)) __PYX_ERR(0, 1197, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_y);
    __Pyx_GIVEREF(__pyx_v_y);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_v_y) != (0)) __PYX_ERR(0, 1197, __pyx_L1_error);
    __pyx_v_pt = ((PyObject*)__pyx_t_6);
    __pyx_t_6 = 0;

    /* "fontTools/misc/bezierTools.py":1198
 *         y = slope34 * (x - s2x) + s2y
 *         pt = (x, y)
 *         return [             # <<<<<<<<<<<<<<
 *             Intersection(
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)
*/
    __Pyx_XDECREF(__pyx_r);

    /* "fontTools/misc/bezierTools.py":1199
 *         pt = (x, y)
 *         return [
 *             Intersection(             # <<<<<<<<<<<<<<
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)
 *             )
*/
    __pyx_t_3 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_mstate_global->__pyx_n_u_Intersection); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1199, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);

    /* "fontTools/misc/bezierTools.py":1200
 *         return [
 *             Intersection(
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)             # <<<<<<<<<<<<<<
 *             )
 *         ]
*/
    __pyx_t_10 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_11, __pyx_mstate_global->__pyx_n_u_line_t_of_pt); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1200, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_11);
    __pyx_t_7 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_11))) {
      __pyx_t_10 = PyMethod_GET_SELF(__pyx_t_11);
      assert(__pyx_t_10);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_11);
      __Pyx_INCREF(__pyx_t_10);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_11, __pyx__function);
      __pyx_t_7 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[4] = {__pyx_t_10, __pyx_v_s1, __pyx_v_e1, __pyx_v_pt};
      __pyx_t_2 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_11, __pyx_callargs+__pyx_t_7, (4-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_10); __pyx_t_10 = 0;
      __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1200, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
    }
    __pyx_t_10 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_12, __pyx_mstate_global->__pyx_n_u_line_t_of_pt); if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 1200, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_12);
    __pyx_t_7 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_12))) {
      __pyx_t_10 = PyMethod_GET_SELF(__pyx_t_12);
      assert(__pyx_t_10);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_12);
      __Pyx_INCREF(__pyx_t_10);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_12, __pyx__function);
      __pyx_t_7 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[4] = {__pyx_t_10, __pyx_v_s2, __pyx_v_e2, __pyx_v_pt};
      __pyx_t_11 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_12, __pyx_callargs+__pyx_t_7, (4-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_10); __pyx_t_10 = 0;
      __Pyx_DECREF(__pyx_t_12); __pyx_t_12 = 0;
      if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1200, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_11);
    }
    __pyx_t_7 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_1))) {
      __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_1);
      assert(__pyx_t_3);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_1);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_1, __pyx__function);
      __pyx_t_7 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[2 + ((CYTHON_VECTORCALL) ? 3 : 0)] = {__pyx_t_3, NULL};
      __pyx_t_12 = __Pyx_MakeVectorcallBuilderKwds(3); if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 1199, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_12);
      if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_pt, __pyx_v_pt, __pyx_t_12, __pyx_callargs+1, 0) < (0)) __PYX_ERR(0, 1199, __pyx_L1_error)
      if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_t1, __pyx_t_2, __pyx_t_12, __pyx_callargs+1, 1) < (0)) __PYX_ERR(0, 1199, __pyx_L1_error)
      if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_t2, __pyx_t_11, __pyx_t_12, __pyx_callargs+1, 2) < (0)) __PYX_ERR(0, 1199, __pyx_L1_error)
      __pyx_t_6 = __Pyx_Object_Vectorcall_CallFromBuilder((PyObject*)__pyx_t_1, __pyx_callargs+__pyx_t_7, (1-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET), __pyx_t_12);
      __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
      __Pyx_DECREF(__pyx_t_12); __pyx_t_12 = 0;
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1199, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
    }

    /* "fontTools/misc/bezierTools.py":1198
 *         y = slope34 * (x - s2x) + s2y
 *         pt = (x, y)
 *         return [             # <<<<<<<<<<<<<<
 *             Intersection(
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)
*/
    __pyx_t_1 = PyList_New(1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1198, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_GIVEREF(__pyx_t_6);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_1, 0, __pyx_t_6) != (0)) __PYX_ERR(0, 1198, __pyx_L1_error);
    __pyx_t_6 = 0;
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1193
 *     if math.isclose(s1x, e1x) and math.isclose(s1y, e1y):  # Line segment is tiny
 *         return []
 *     if math.isclose(e1x, s1x):             # <<<<<<<<<<<<<<
 *         x = s1x
 *         slope34 = (e2y - s2y) / (e2x - s2x)
*/
  }

  /* "fontTools/misc/bezierTools.py":1203
 *             )
 *         ]
 *     if math.isclose(s2x, e2x):             # <<<<<<<<<<<<<<
 *         x = s2x
 *         slope12 = (e1y - s1y) / (e1x - s1x)
*/
  __pyx_t_6 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_12, __pyx_mstate_global->__pyx_n_u_math); if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 1203, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_12);
  __pyx_t_11 = __Pyx_PyObject_GetAttrStr(__pyx_t_12, __pyx_mstate_global->__pyx_n_u_isclose); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1203, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_11);
  __Pyx_DECREF(__pyx_t_12); __pyx_t_12 = 0;
  __pyx_t_7 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_11))) {
    __pyx_t_6 = PyMethod_GET_SELF(__pyx_t_11);
    assert(__pyx_t_6);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_11);
    __Pyx_INCREF(__pyx_t_6);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_11, __pyx__function);
    __pyx_t_7 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_6, __pyx_v_s2x, __pyx_v_e2x};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_11, __pyx_callargs+__pyx_t_7, (3-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1203, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 1203, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1204
 *         ]
 *     if math.isclose(s2x, e2x):
 *         x = s2x             # <<<<<<<<<<<<<<
 *         slope12 = (e1y - s1y) / (e1x - s1x)
 *         y = slope12 * (x - s1x) + s1y
*/
    __Pyx_INCREF(__pyx_v_s2x);
    __pyx_v_x = __pyx_v_s2x;

    /* "fontTools/misc/bezierTools.py":1205
 *     if math.isclose(s2x, e2x):
 *         x = s2x
 *         slope12 = (e1y - s1y) / (e1x - s1x)             # <<<<<<<<<<<<<<
 *         y = slope12 * (x - s1x) + s1y
 *         pt = (x, y)
*/
    __pyx_t_1 = PyNumber_Subtract(__pyx_v_e1y, __pyx_v_s1y); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1205, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_11 = PyNumber_Subtract(__pyx_v_e1x, __pyx_v_s1x); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1205, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_11);
    __pyx_t_6 = __Pyx_PyNumber_Divide(__pyx_t_1, __pyx_t_11); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1205, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
    __pyx_v_slope12 = __pyx_t_6;
    __pyx_t_6 = 0;

    /* "fontTools/misc/bezierTools.py":1206
 *         x = s2x
 *         slope12 = (e1y - s1y) / (e1x - s1x)
 *         y = slope12 * (x - s1x) + s1y             # <<<<<<<<<<<<<<
 *         pt = (x, y)
 *         return [
*/
    __pyx_t_6 = PyNumber_Subtract(__pyx_v_x, __pyx_v_s1x); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1206, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_11 = PyNumber_Multiply(__pyx_v_slope12, __pyx_t_6); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1206, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_11);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_6 = PyNumber_Add(__pyx_t_11, __pyx_v_s1y); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1206, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
    __pyx_v_y = __pyx_t_6;
    __pyx_t_6 = 0;

    /* "fontTools/misc/bezierTools.py":1207
 *         slope12 = (e1y - s1y) / (e1x - s1x)
 *         y = slope12 * (x - s1x) + s1y
 *         pt = (x, y)             # <<<<<<<<<<<<<<
 *         return [
 *             Intersection(
*/
    __pyx_t_6 = PyTuple_New(2); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1207, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_INCREF(__pyx_v_x);
    __Pyx_GIVEREF(__pyx_v_x);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_v_x) != (0)) __PYX_ERR(0, 1207, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_y);
    __Pyx_GIVEREF(__pyx_v_y);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_v_y) != (0)) __PYX_ERR(0, 1207, __pyx_L1_error);
    __pyx_v_pt = ((PyObject*)__pyx_t_6);
    __pyx_t_6 = 0;

    /* "fontTools/misc/bezierTools.py":1208
 *         y = slope12 * (x - s1x) + s1y
 *         pt = (x, y)
 *         return [             # <<<<<<<<<<<<<<
 *             Intersection(
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)
*/
    __Pyx_XDECREF(__pyx_r);

    /* "fontTools/misc/bezierTools.py":1209
 *         pt = (x, y)
 *         return [
 *             Intersection(             # <<<<<<<<<<<<<<
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)
 *             )
*/
    __pyx_t_11 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_mstate_global->__pyx_n_u_Intersection); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1209, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);

    /* "fontTools/misc/bezierTools.py":1210
 *         return [
 *             Intersection(
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)             # <<<<<<<<<<<<<<
 *             )
 *         ]
*/
    __pyx_t_2 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_line_t_of_pt); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1210, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_7 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_3))) {
      __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
      assert(__pyx_t_2);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
      __pyx_t_7 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[4] = {__pyx_t_2, __pyx_v_s1, __pyx_v_e1, __pyx_v_pt};
      __pyx_t_12 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_7, (4-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 1210, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_12);
    }
    __pyx_t_2 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_10, __pyx_mstate_global->__pyx_n_u_line_t_of_pt); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1210, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_10);
    __pyx_t_7 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_10))) {
      __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_10);
      assert(__pyx_t_2);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_10);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_10, __pyx__function);
      __pyx_t_7 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[4] = {__pyx_t_2, __pyx_v_s2, __pyx_v_e2, __pyx_v_pt};
      __pyx_t_3 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_10, __pyx_callargs+__pyx_t_7, (4-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
      __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
      if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1210, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
    }
    __pyx_t_7 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_1))) {
      __pyx_t_11 = PyMethod_GET_SELF(__pyx_t_1);
      assert(__pyx_t_11);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_1);
      __Pyx_INCREF(__pyx_t_11);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_1, __pyx__function);
      __pyx_t_7 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[2 + ((CYTHON_VECTORCALL) ? 3 : 0)] = {__pyx_t_11, NULL};
      __pyx_t_10 = __Pyx_MakeVectorcallBuilderKwds(3); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1209, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_10);
      if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_pt, __pyx_v_pt, __pyx_t_10, __pyx_callargs+1, 0) < (0)) __PYX_ERR(0, 1209, __pyx_L1_error)
      if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_t1, __pyx_t_12, __pyx_t_10, __pyx_callargs+1, 1) < (0)) __PYX_ERR(0, 1209, __pyx_L1_error)
      if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_t2, __pyx_t_3, __pyx_t_10, __pyx_callargs+1, 2) < (0)) __PYX_ERR(0, 1209, __pyx_L1_error)
      __pyx_t_6 = __Pyx_Object_Vectorcall_CallFromBuilder((PyObject*)__pyx_t_1, __pyx_callargs+__pyx_t_7, (1-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET), __pyx_t_10);
      __Pyx_XDECREF(__pyx_t_11); __pyx_t_11 = 0;
      __Pyx_DECREF(__pyx_t_12); __pyx_t_12 = 0;
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1209, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
    }

    /* "fontTools/misc/bezierTools.py":1208
 *         y = slope12 * (x - s1x) + s1y
 *         pt = (x, y)
 *         return [             # <<<<<<<<<<<<<<
 *             Intersection(
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)
*/
    __pyx_t_1 = PyList_New(1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1208, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_GIVEREF(__pyx_t_6);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_1, 0, __pyx_t_6) != (0)) __PYX_ERR(0, 1208, __pyx_L1_error);
    __pyx_t_6 = 0;
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1203
 *             )
 *         ]
 *     if math.isclose(s2x, e2x):             # <<<<<<<<<<<<<<
 *         x = s2x
 *         slope12 = (e1y - s1y) / (e1x - s1x)
*/
  }

  /* "fontTools/misc/bezierTools.py":1214
 *         ]
 * 
 *     slope12 = (e1y - s1y) / (e1x - s1x)             # <<<<<<<<<<<<<<
 *     slope34 = (e2y - s2y) / (e2x - s2x)
 *     if math.isclose(slope12, slope34):
*/
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_e1y, __pyx_v_s1y); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1214, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_6 = PyNumber_Subtract(__pyx_v_e1x, __pyx_v_s1x); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1214, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __pyx_t_10 = __Pyx_PyNumber_Divide(__pyx_t_1, __pyx_t_6); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1214, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_10);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_v_slope12 = __pyx_t_10;
  __pyx_t_10 = 0;

  /* "fontTools/misc/bezierTools.py":1215
 * 
 *     slope12 = (e1y - s1y) / (e1x - s1x)
 *     slope34 = (e2y - s2y) / (e2x - s2x)             # <<<<<<<<<<<<<<
 *     if math.isclose(slope12, slope34):
 *         return []
*/
  __pyx_t_10 = PyNumber_Subtract(__pyx_v_e2y, __pyx_v_s2y); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1215, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_10);
  __pyx_t_6 = PyNumber_Subtract(__pyx_v_e2x, __pyx_v_s2x); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1215, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __pyx_t_1 = __Pyx_PyNumber_Divide(__pyx_t_10, __pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1215, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_v_slope34 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1216
 *     slope12 = (e1y - s1y) / (e1x - s1x)
 *     slope34 = (e2y - s2y) / (e2x - s2x)
 *     if math.isclose(slope12, slope34):             # <<<<<<<<<<<<<<
 *         return []
 *     x = (slope12 * s1x - s1y - slope34 * s2x + s2y) / (slope12 - slope34)
*/
  __pyx_t_6 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_10, __pyx_mstate_global->__pyx_n_u_math); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1216, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_10);
  __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_10, __pyx_mstate_global->__pyx_n_u_isclose); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1216, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
  __pyx_t_7 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_6 = PyMethod_GET_SELF(__pyx_t_3);
    assert(__pyx_t_6);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_6);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
    __pyx_t_7 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_6, __pyx_v_slope12, __pyx_v_slope34};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_7, (3-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1216, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 1216, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1217
 *     slope34 = (e2y - s2y) / (e2x - s2x)
 *     if math.isclose(slope12, slope34):
 *         return []             # <<<<<<<<<<<<<<
 *     x = (slope12 * s1x - s1y - slope34 * s2x + s2y) / (slope12 - slope34)
 *     y = slope12 * (x - s1x) + s1y
*/
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1217, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1216
 *     slope12 = (e1y - s1y) / (e1x - s1x)
 *     slope34 = (e2y - s2y) / (e2x - s2x)
 *     if math.isclose(slope12, slope34):             # <<<<<<<<<<<<<<
 *         return []
 *     x = (slope12 * s1x - s1y - slope34 * s2x + s2y) / (slope12 - slope34)
*/
  }

  /* "fontTools/misc/bezierTools.py":1218
 *     if math.isclose(slope12, slope34):
 *         return []
 *     x = (slope12 * s1x - s1y - slope34 * s2x + s2y) / (slope12 - slope34)             # <<<<<<<<<<<<<<
 *     y = slope12 * (x - s1x) + s1y
 *     pt = (x, y)
*/
  __pyx_t_1 = PyNumber_Multiply(__pyx_v_slope12, __pyx_v_s1x); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1218, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = PyNumber_Subtract(__pyx_t_1, __pyx_v_s1y); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1218, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Multiply(__pyx_v_slope34, __pyx_v_s2x); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1218, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_6 = PyNumber_Subtract(__pyx_t_3, __pyx_t_1); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1218, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Add(__pyx_t_6, __pyx_v_s2y); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1218, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_t_6 = PyNumber_Subtract(__pyx_v_slope12, __pyx_v_slope34); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1218, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __pyx_t_3 = __Pyx_PyNumber_Divide(__pyx_t_1, __pyx_t_6); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1218, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_v_x = __pyx_t_3;
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1219
 *         return []
 *     x = (slope12 * s1x - s1y - slope34 * s2x + s2y) / (slope12 - slope34)
 *     y = slope12 * (x - s1x) + s1y             # <<<<<<<<<<<<<<
 *     pt = (x, y)
 *     if _both_points_are_on_same_side_of_origin(
*/
  __pyx_t_3 = PyNumber_Subtract(__pyx_v_x, __pyx_v_s1x); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1219, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_6 = PyNumber_Multiply(__pyx_v_slope12, __pyx_t_3); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1219, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = PyNumber_Add(__pyx_t_6, __pyx_v_s1y); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1219, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_v_y = __pyx_t_3;
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1220
 *     x = (slope12 * s1x - s1y - slope34 * s2x + s2y) / (slope12 - slope34)
 *     y = slope12 * (x - s1x) + s1y
 *     pt = (x, y)             # <<<<<<<<<<<<<<
 *     if _both_points_are_on_same_side_of_origin(
 *         pt, e1, s1
*/
  __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1220, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_INCREF(__pyx_v_x);
  __Pyx_GIVEREF(__pyx_v_x);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_x) != (0)) __PYX_ERR(0, 1220, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_y);
  __Pyx_GIVEREF(__pyx_v_y);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_v_y) != (0)) __PYX_ERR(0, 1220, __pyx_L1_error);
  __pyx_v_pt = ((PyObject*)__pyx_t_3);
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1221
 *     y = slope12 * (x - s1x) + s1y
 *     pt = (x, y)
 *     if _both_points_are_on_same_side_of_origin(             # <<<<<<<<<<<<<<
 *         pt, e1, s1
 *     ) and _both_points_are_on_same_side_of_origin(pt, s2, e2):
*/
  __pyx_t_6 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_mstate_global->__pyx_n_u_both_points_are_on_same_side_of); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1221, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);

  /* "fontTools/misc/bezierTools.py":1222
 *     pt = (x, y)
 *     if _both_points_are_on_same_side_of_origin(
 *         pt, e1, s1             # <<<<<<<<<<<<<<
 *     ) and _both_points_are_on_same_side_of_origin(pt, s2, e2):
 *         return [
*/
  __pyx_t_7 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_1))) {
    __pyx_t_6 = PyMethod_GET_SELF(__pyx_t_1);
    assert(__pyx_t_6);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_1);
    __Pyx_INCREF(__pyx_t_6);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_1, __pyx__function);
    __pyx_t_7 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[4] = {__pyx_t_6, __pyx_v_pt, __pyx_v_e1, __pyx_v_s1};
    __pyx_t_3 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_1, __pyx_callargs+__pyx_t_7, (4-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1221, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
  }

  /* "fontTools/misc/bezierTools.py":1221
 *     y = slope12 * (x - s1x) + s1y
 *     pt = (x, y)
 *     if _both_points_are_on_same_side_of_origin(             # <<<<<<<<<<<<<<
 *         pt, e1, s1
 *     ) and _both_points_are_on_same_side_of_origin(pt, s2, e2):
*/
  __pyx_t_8 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely((__pyx_t_8 < 0))) __PYX_ERR(0, 1221, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  if (__pyx_t_8) {
  } else {
    __pyx_t_5 = __pyx_t_8;
    goto __pyx_L29_bool_binop_done;
  }

  /* "fontTools/misc/bezierTools.py":1223
 *     if _both_points_are_on_same_side_of_origin(
 *         pt, e1, s1
 *     ) and _both_points_are_on_same_side_of_origin(pt, s2, e2):             # <<<<<<<<<<<<<<
 *         return [
 *             Intersection(
*/
  __pyx_t_1 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_6, __pyx_mstate_global->__pyx_n_u_both_points_are_on_same_side_of); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1223, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __pyx_t_7 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_6))) {
    __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_6);
    assert(__pyx_t_1);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_6);
    __Pyx_INCREF(__pyx_t_1);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_6, __pyx__function);
    __pyx_t_7 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[4] = {__pyx_t_1, __pyx_v_pt, __pyx_v_s2, __pyx_v_e2};
    __pyx_t_3 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_6, __pyx_callargs+__pyx_t_7, (4-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1223, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
  }
  __pyx_t_8 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely((__pyx_t_8 < 0))) __PYX_ERR(0, 1223, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_5 = __pyx_t_8;
  __pyx_L29_bool_binop_done:;

  /* "fontTools/misc/bezierTools.py":1221
 *     y = slope12 * (x - s1x) + s1y
 *     pt = (x, y)
 *     if _both_points_are_on_same_side_of_origin(             # <<<<<<<<<<<<<<
 *         pt, e1, s1
 *     ) and _both_points_are_on_same_side_of_origin(pt, s2, e2):
*/
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1224
 *         pt, e1, s1
 *     ) and _both_points_are_on_same_side_of_origin(pt, s2, e2):
 *         return [             # <<<<<<<<<<<<<<
 *             Intersection(
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)
*/
    __Pyx_XDECREF(__pyx_r);

    /* "fontTools/misc/bezierTools.py":1225
 *     ) and _both_points_are_on_same_side_of_origin(pt, s2, e2):
 *         return [
 *             Intersection(             # <<<<<<<<<<<<<<
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)
 *             )
*/
    __pyx_t_6 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_mstate_global->__pyx_n_u_Intersection); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1225, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);

    /* "fontTools/misc/bezierTools.py":1226
 *         return [
 *             Intersection(
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)             # <<<<<<<<<<<<<<
 *             )
 *         ]
*/
    __pyx_t_12 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_11, __pyx_mstate_global->__pyx_n_u_line_t_of_pt); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1226, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_11);
    __pyx_t_7 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_11))) {
      __pyx_t_12 = PyMethod_GET_SELF(__pyx_t_11);
      assert(__pyx_t_12);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_11);
      __Pyx_INCREF(__pyx_t_12);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_11, __pyx__function);
      __pyx_t_7 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[4] = {__pyx_t_12, __pyx_v_s1, __pyx_v_e1, __pyx_v_pt};
      __pyx_t_10 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_11, __pyx_callargs+__pyx_t_7, (4-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_12); __pyx_t_12 = 0;
      __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
      if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1226, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_10);
    }
    __pyx_t_12 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_line_t_of_pt); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1226, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_7 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_2))) {
      __pyx_t_12 = PyMethod_GET_SELF(__pyx_t_2);
      assert(__pyx_t_12);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_12);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_2, __pyx__function);
      __pyx_t_7 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[4] = {__pyx_t_12, __pyx_v_s2, __pyx_v_e2, __pyx_v_pt};
      __pyx_t_11 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_2, __pyx_callargs+__pyx_t_7, (4-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_12); __pyx_t_12 = 0;
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1226, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_11);
    }
    __pyx_t_7 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_1))) {
      __pyx_t_6 = PyMethod_GET_SELF(__pyx_t_1);
      assert(__pyx_t_6);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_1);
      __Pyx_INCREF(__pyx_t_6);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_1, __pyx__function);
      __pyx_t_7 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[2 + ((CYTHON_VECTORCALL) ? 3 : 0)] = {__pyx_t_6, NULL};
      __pyx_t_2 = __Pyx_MakeVectorcallBuilderKwds(3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1225, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_pt, __pyx_v_pt, __pyx_t_2, __pyx_callargs+1, 0) < (0)) __PYX_ERR(0, 1225, __pyx_L1_error)
      if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_t1, __pyx_t_10, __pyx_t_2, __pyx_callargs+1, 1) < (0)) __PYX_ERR(0, 1225, __pyx_L1_error)
      if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_t2, __pyx_t_11, __pyx_t_2, __pyx_callargs+1, 2) < (0)) __PYX_ERR(0, 1225, __pyx_L1_error)
      __pyx_t_3 = __Pyx_Object_Vectorcall_CallFromBuilder((PyObject*)__pyx_t_1, __pyx_callargs+__pyx_t_7, (1-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET), __pyx_t_2);
      __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
      __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
      __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1225, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
    }

    /* "fontTools/misc/bezierTools.py":1224
 *         pt, e1, s1
 *     ) and _both_points_are_on_same_side_of_origin(pt, s2, e2):
 *         return [             # <<<<<<<<<<<<<<
 *             Intersection(
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)
*/
    __pyx_t_1 = PyList_New(1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1224, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_GIVEREF(__pyx_t_3);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_1, 0, __pyx_t_3) != (0)) __PYX_ERR(0, 1224, __pyx_L1_error);
    __pyx_t_3 = 0;
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1221
 *     y = slope12 * (x - s1x) + s1y
 *     pt = (x, y)
 *     if _both_points_are_on_same_side_of_origin(             # <<<<<<<<<<<<<<
 *         pt, e1, s1
 *     ) and _both_points_are_on_same_side_of_origin(pt, s2, e2):
*/
  }

  /* "fontTools/misc/bezierTools.py":1229
 *             )
 *         ]
 *     return []             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1229, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1154
 * 
 * 
 * def lineLineIntersections(s1, e1, s2, e2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between two line segments.
 * 
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_10);
  __Pyx_XDECREF(__pyx_t_11);
  __Pyx_XDECREF(__pyx_t_12);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.lineLineIntersections", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_s1x);
  __Pyx_XDECREF(__pyx_v_s1y);
  __Pyx_XDECREF(__pyx_v_e1x);
  __Pyx_XDECREF(__pyx_v_e1y);
  __Pyx_XDECREF(__pyx_v_s2x);
  __Pyx_XDECREF(__pyx_v_s2y);
  __Pyx_XDECREF(__pyx_v_e2x);
  __Pyx_XDECREF(__pyx_v_e2y);
  __Pyx_XDECREF(__pyx_v_x);
  __Pyx_XDECREF(__pyx_v_slope34);
  __Pyx_XDECREF(__pyx_v_y);
  __Pyx_XDECREF(__pyx_v_pt);
  __Pyx_XDECREF(__pyx_v_slope12);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1232
 * 
 * 
 * def _alignment_transformation(segment):             # <<<<<<<<<<<<<<
 *     # Returns a transformation which aligns a segment horizontally at the
 *     # origin. Apply this transformation to curves and root-find to find
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_75_alignment_transformation(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_74_alignment_transformation, "_alignment_transformation(segment)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_75_alignment_transformation = {"_alignment_transformation", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_75_alignment_transformation, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_74_alignment_transformation};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_75_alignment_transformation(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_segment = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[1] = {0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_alignment_transformation (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_segment,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 1232, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1232, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "_alignment_transformation", 0) < (0)) __PYX_ERR(0, 1232, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 1; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("_alignment_transformation", 1, 1, 1, i); __PYX_ERR(0, 1232, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 1)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1232, __pyx_L3_error)
    }
    __pyx_v_segment = values[0];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_alignment_transformation", 1, 1, 1, __pyx_nargs); __PYX_ERR(0, 1232, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._alignment_transformation", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_74_alignment_transformation(__pyx_self, __pyx_v_segment);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_74_alignment_transformation(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_segment) {
  PyObject *__pyx_v_start = NULL;
  PyObject *__pyx_v_end = NULL;
  PyObject *__pyx_v_angle = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  size_t __pyx_t_8;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_alignment_transformation", 0);

  /* "fontTools/misc/bezierTools.py":1236
 *     # origin. Apply this transformation to curves and root-find to find
 *     # intersections with the segment.
 *     start = segment[0]             # <<<<<<<<<<<<<<
 *     end = segment[-1]
 *     angle = math.atan2(end[1] - start[1], end[0] - start[0])
*/
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_segment, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1236, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_start = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1237
 *     # intersections with the segment.
 *     start = segment[0]
 *     end = segment[-1]             # <<<<<<<<<<<<<<
 *     angle = math.atan2(end[1] - start[1], end[0] - start[0])
 *     return Identity.rotate(-angle).translate(-start[0], -start[1])
*/
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_segment, -1L, long, 1, __Pyx_PyLong_From_long, 0, 1, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1237, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_end = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1238
 *     start = segment[0]
 *     end = segment[-1]
 *     angle = math.atan2(end[1] - start[1], end[0] - start[0])             # <<<<<<<<<<<<<<
 *     return Identity.rotate(-angle).translate(-start[0], -start[1])
 * 
*/
  __pyx_t_2 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_math); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1238, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_atan2); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1238, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_end, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_OwnStrongReference); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1238, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_5 = __Pyx_GetItemInt(__pyx_v_start, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_OwnStrongReference); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1238, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_6 = PyNumber_Subtract(__pyx_t_3, __pyx_t_5); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1238, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_t_5 = __Pyx_GetItemInt(__pyx_v_end, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_OwnStrongReference); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1238, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_start, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_OwnStrongReference); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1238, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_7 = PyNumber_Subtract(__pyx_t_5, __pyx_t_3); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1238, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_8 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_4))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_4);
    assert(__pyx_t_2);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_4);
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_4, __pyx__function);
    __pyx_t_8 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_2, __pyx_t_6, __pyx_t_7};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_4, __pyx_callargs+__pyx_t_8, (3-__pyx_t_8) | (__pyx_t_8*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1238, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_v_angle = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1239
 *     end = segment[-1]
 *     angle = math.atan2(end[1] - start[1], end[0] - start[0])
 *     return Identity.rotate(-angle).translate(-start[0], -start[1])             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_6 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_Identity); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1239, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_rotate); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1239, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Negative(__pyx_v_angle); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1239, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_8 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_6 = PyMethod_GET_SELF(__pyx_t_3);
    assert(__pyx_t_6);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_6);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
    __pyx_t_8 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_6, __pyx_t_2};
    __pyx_t_7 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_8, (2-__pyx_t_8) | (__pyx_t_8*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1239, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
  }
  __pyx_t_4 = __pyx_t_7;
  __Pyx_INCREF(__pyx_t_4);
  __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_start, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_OwnStrongReference); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1239, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = PyNumber_Negative(__pyx_t_3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1239, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_start, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_OwnStrongReference); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1239, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_6 = PyNumber_Negative(__pyx_t_3); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1239, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_8 = 0;
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_4, __pyx_t_2, __pyx_t_6};
    __pyx_t_1 = __Pyx_PyObject_FastCallMethod((PyObject*)__pyx_mstate_global->__pyx_n_u_translate, __pyx_callargs+__pyx_t_8, (3-__pyx_t_8) | (1*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1239, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1232
 * 
 * 
 * def _alignment_transformation(segment):             # <<<<<<<<<<<<<<
 *     # Returns a transformation which aligns a segment horizontally at the
 *     # origin. Apply this transformation to curves and root-find to find
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._alignment_transformation", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_start);
  __Pyx_XDECREF(__pyx_v_end);
  __Pyx_XDECREF(__pyx_v_angle);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1242
 * 
 * 
 * def _curve_line_intersections_t(curve, line):             # <<<<<<<<<<<<<<
 *     aligned_curve = _alignment_transformation(line).transformPoints(curve)
 *     if len(curve) == 3:
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_77_curve_line_intersections_t(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_76_curve_line_intersections_t, "_curve_line_intersections_t(curve, line)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_77_curve_line_intersections_t = {"_curve_line_intersections_t", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_77_curve_line_intersections_t, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_76_curve_line_intersections_t};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_77_curve_line_intersections_t(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_curve = 0;
  PyObject *__pyx_v_line = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[2] = {0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_curve_line_intersections_t (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_curve,&__pyx_mstate_global->__pyx_n_u_line,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 1242, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1242, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1242, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "_curve_line_intersections_t", 0) < (0)) __PYX_ERR(0, 1242, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 2; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("_curve_line_intersections_t", 1, 2, 2, i); __PYX_ERR(0, 1242, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 2)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1242, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1242, __pyx_L3_error)
    }
    __pyx_v_curve = values[0];
    __pyx_v_line = values[1];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_curve_line_intersections_t", 1, 2, 2, __pyx_nargs); __PYX_ERR(0, 1242, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._curve_line_intersections_t", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_76_curve_line_intersections_t(__pyx_self, __pyx_v_curve, __pyx_v_line);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}
static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_27_curve_line_intersections_t_2generator4(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value); /* proto */

/* "fontTools/misc/bezierTools.py":1252
 *     else:
 *         raise ValueError("Unknown curve degree")
 *     return sorted(i for i in intersections if 0.0 <= i <= 1)             # <<<<<<<<<<<<<<
 * 
 * 
*/

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_27_curve_line_intersections_t_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr *__pyx_cur_scope;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("genexpr", 0);
  __pyx_cur_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr(__pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr, __pyx_mstate_global->__pyx_empty_tuple, NULL);
  if (unlikely(!__pyx_cur_scope)) {
    __pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr *)Py_None);
    __Pyx_INCREF(Py_None);
    __PYX_ERR(0, 1252, __pyx_L1_error)
  } else {
    __Pyx_GOTREF((PyObject *)__pyx_cur_scope);
  }
  __pyx_cur_scope->__pyx_genexpr_arg_0 = __pyx_genexpr_arg_0;
  __Pyx_INCREF(__pyx_cur_scope->__pyx_genexpr_arg_0);
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_genexpr_arg_0);
  {
    __pyx_CoroutineObject *gen = __Pyx_Generator_New((__pyx_coroutine_body_t) __pyx_gb_9fontTools_4misc_11bezierTools_27_curve_line_intersections_t_2generator4, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[4]), (PyObject *) __pyx_cur_scope, __pyx_mstate_global->__pyx_n_u_genexpr, __pyx_mstate_global->__pyx_n_u_curve_line_intersections_t_loca, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools); if (unlikely(!gen)) __PYX_ERR(0, 1252, __pyx_L1_error)
    __Pyx_DECREF(__pyx_cur_scope);
    __Pyx_RefNannyFinishContext();
    return (PyObject *) gen;
  }

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_AddTraceback("fontTools.misc.bezierTools._curve_line_intersections_t.genexpr", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __Pyx_DECREF((PyObject *)__pyx_cur_scope);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_27_curve_line_intersections_t_2generator4(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value) /* generator body */
{
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr *__pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr *)__pyx_generator->closure);
  PyObject *__pyx_r = NULL;
  PyObject *__pyx_t_1 = NULL;
  Py_ssize_t __pyx_t_2;
  PyObject *(*__pyx_t_3)(PyObject *);
  PyObject *__pyx_t_4 = NULL;
  int __pyx_t_5;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("genexpr", 0);
  switch (__pyx_generator->resume_label) {
    case 0: goto __pyx_L3_first_run;
    default: /* CPython raises the right error here */
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __pyx_L3_first_run:;
  if (unlikely(!__pyx_sent_value)) __PYX_ERR(0, 1252, __pyx_L1_error)
  __pyx_r = PyList_New(0); if (unlikely(!__pyx_r)) __PYX_ERR(0, 1252, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_r);
  if (unlikely(!__pyx_cur_scope->__pyx_genexpr_arg_0)) { __Pyx_RaiseUnboundLocalError(".0"); __PYX_ERR(0, 1252, __pyx_L1_error) }
  if (likely(PyList_CheckExact(__pyx_cur_scope->__pyx_genexpr_arg_0)) || PyTuple_CheckExact(__pyx_cur_scope->__pyx_genexpr_arg_0)) {
    __pyx_t_1 = __pyx_cur_scope->__pyx_genexpr_arg_0; __Pyx_INCREF(__pyx_t_1);
    __pyx_t_2 = 0;
    __pyx_t_3 = NULL;
  } else {
    __pyx_t_2 = -1; __pyx_t_1 = PyObject_GetIter(__pyx_cur_scope->__pyx_genexpr_arg_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1252, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1252, __pyx_L1_error)
  }
  for (;;) {
    if (likely(!__pyx_t_3)) {
      if (likely(PyList_CheckExact(__pyx_t_1))) {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_SIZE
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1252, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        __pyx_t_4 = __Pyx_PyList_GetItemRefFast(__pyx_t_1, __pyx_t_2, __Pyx_ReferenceSharing_OwnStrongReference);
        ++__pyx_t_2;
      } else {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_SIZE
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1252, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_4 = __Pyx_NewRef(PyTuple_GET_ITEM(__pyx_t_1, __pyx_t_2));
        #else
        __pyx_t_4 = __Pyx_PySequence_ITEM(__pyx_t_1, __pyx_t_2);
        #endif
        ++__pyx_t_2;
      }
      if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1252, __pyx_L1_error)
    } else {
      __pyx_t_4 = __pyx_t_3(__pyx_t_1);
      if (unlikely(!__pyx_t_4)) {
        PyObject* exc_type = PyErr_Occurred();
        if (exc_type) {
          if (unlikely(!__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) __PYX_ERR(0, 1252, __pyx_L1_error)
          PyErr_Clear();
        }
        break;
      }
    }
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_XGOTREF(__pyx_cur_scope->__pyx_v_i);
    __Pyx_XDECREF_SET(__pyx_cur_scope->__pyx_v_i, __pyx_t_4);
    __Pyx_GIVEREF(__pyx_t_4);
    __pyx_t_4 = 0;
    __pyx_t_4 = PyObject_RichCompare(__pyx_mstate_global->__pyx_float_0_0, __pyx_cur_scope->__pyx_v_i, Py_LE); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1252, __pyx_L1_error)
    if (__Pyx_PyObject_IsTrue(__pyx_t_4)) {
      __Pyx_DECREF(__pyx_t_4);
      __pyx_t_4 = PyObject_RichCompare(__pyx_cur_scope->__pyx_v_i, __pyx_mstate_global->__pyx_int_1, Py_LE); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1252, __pyx_L1_error)
    }
    __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 1252, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    if (__pyx_t_5) {
      if (unlikely(__Pyx_ListComp_Append(__pyx_r, (PyObject*)__pyx_cur_scope->__pyx_v_i))) __PYX_ERR(0, 1252, __pyx_L1_error)
    }
  }
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  CYTHON_MAYBE_UNUSED_VAR(__pyx_cur_scope);

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_r); __pyx_r = 0;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_4);
  if (__Pyx_PyErr_Occurred()) {
    __Pyx_Generator_Replace_StopIteration(0);
    __Pyx_AddTraceback("genexpr", __pyx_clineno, __pyx_lineno, __pyx_filename);
  }
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  #if !CYTHON_USE_EXC_INFO_STACK
  __Pyx_Coroutine_ResetAndClearException(__pyx_generator);
  #endif
  __pyx_generator->resume_label = -1;
  __Pyx_Coroutine_clear((PyObject*)__pyx_generator);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1242
 * 
 * 
 * def _curve_line_intersections_t(curve, line):             # <<<<<<<<<<<<<<
 *     aligned_curve = _alignment_transformation(line).transformPoints(curve)
 *     if len(curve) == 3:
*/

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_76_curve_line_intersections_t(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_curve, PyObject *__pyx_v_line) {
  PyObject *__pyx_v_aligned_curve = NULL;
  PyObject *__pyx_v_a = NULL;
  PyObject *__pyx_v_b = NULL;
  PyObject *__pyx_v_c = NULL;
  PyObject *__pyx_v_intersections = NULL;
  PyObject *__pyx_v_d = NULL;
  PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_27_curve_line_intersections_t_2generator4 = 0;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  size_t __pyx_t_6;
  Py_ssize_t __pyx_t_7;
  int __pyx_t_8;
  PyObject *(*__pyx_t_9)(PyObject *);
  PyObject *__pyx_t_10 = NULL;
  PyObject *__pyx_t_11 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_curve_line_intersections_t", 0);

  /* "fontTools/misc/bezierTools.py":1243
 * 
 * def _curve_line_intersections_t(curve, line):
 *     aligned_curve = _alignment_transformation(line).transformPoints(curve)             # <<<<<<<<<<<<<<
 *     if len(curve) == 3:
 *         a, b, c = calcQuadraticParameters(*aligned_curve)
*/
  __pyx_t_4 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_5, __pyx_mstate_global->__pyx_n_u_alignment_transformation); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1243, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_6 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_5))) {
    __pyx_t_4 = PyMethod_GET_SELF(__pyx_t_5);
    assert(__pyx_t_4);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_5);
    __Pyx_INCREF(__pyx_t_4);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_5, __pyx__function);
    __pyx_t_6 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_4, __pyx_v_line};
    __pyx_t_3 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_5, __pyx_callargs+__pyx_t_6, (2-__pyx_t_6) | (__pyx_t_6*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1243, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
  }
  __pyx_t_2 = __pyx_t_3;
  __Pyx_INCREF(__pyx_t_2);
  __pyx_t_6 = 0;
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_2, __pyx_v_curve};
    __pyx_t_1 = __Pyx_PyObject_FastCallMethod((PyObject*)__pyx_mstate_global->__pyx_n_u_transformPoints, __pyx_callargs+__pyx_t_6, (2-__pyx_t_6) | (1*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1243, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_v_aligned_curve = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1244
 * def _curve_line_intersections_t(curve, line):
 *     aligned_curve = _alignment_transformation(line).transformPoints(curve)
 *     if len(curve) == 3:             # <<<<<<<<<<<<<<
 *         a, b, c = calcQuadraticParameters(*aligned_curve)
 *         intersections = solveQuadratic(a[1], b[1], c[1])
*/
  __pyx_t_7 = PyObject_Length(__pyx_v_curve); if (unlikely(__pyx_t_7 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1244, __pyx_L1_error)
  __pyx_t_8 = (__pyx_t_7 == 3);
  if (__pyx_t_8) {

    /* "fontTools/misc/bezierTools.py":1245
 *     aligned_curve = _alignment_transformation(line).transformPoints(curve)
 *     if len(curve) == 3:
 *         a, b, c = calcQuadraticParameters(*aligned_curve)             # <<<<<<<<<<<<<<
 *         intersections = solveQuadratic(a[1], b[1], c[1])
 *     elif len(curve) == 4:
*/
    __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_mstate_global->__pyx_n_u_calcQuadraticParameters); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1245, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = __Pyx_PySequence_Tuple(__pyx_v_aligned_curve); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1245, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_t_3, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1245, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if ((likely(PyTuple_CheckExact(__pyx_t_2))) || (PyList_CheckExact(__pyx_t_2))) {
      PyObject* sequence = __pyx_t_2;
      Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
      if (unlikely(size != 3)) {
        if (size > 3) __Pyx_RaiseTooManyValuesError(3);
        else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
        __PYX_ERR(0, 1245, __pyx_L1_error)
      }
      #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      if (likely(PyTuple_CheckExact(sequence))) {
        __pyx_t_3 = PyTuple_GET_ITEM(sequence, 0);
        __Pyx_INCREF(__pyx_t_3);
        __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1);
        __Pyx_INCREF(__pyx_t_1);
        __pyx_t_5 = PyTuple_GET_ITEM(sequence, 2);
        __Pyx_INCREF(__pyx_t_5);
      } else {
        __pyx_t_3 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
        if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1245, __pyx_L1_error)
        __Pyx_XGOTREF(__pyx_t_3);
        __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
        if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1245, __pyx_L1_error)
        __Pyx_XGOTREF(__pyx_t_1);
        __pyx_t_5 = __Pyx_PyList_GetItemRefFast(sequence, 2, __Pyx_ReferenceSharing_SharedReference);
        if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1245, __pyx_L1_error)
        __Pyx_XGOTREF(__pyx_t_5);
      }
      #else
      __pyx_t_3 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1245, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1245, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __pyx_t_5 = __Pyx_PySequence_ITEM(sequence, 2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1245, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_5);
      #endif
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    } else {
      Py_ssize_t index = -1;
      __pyx_t_4 = PyObject_GetIter(__pyx_t_2); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1245, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_4);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __pyx_t_9 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_4);
      index = 0; __pyx_t_3 = __pyx_t_9(__pyx_t_4); if (unlikely(!__pyx_t_3)) goto __pyx_L4_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_3);
      index = 1; __pyx_t_1 = __pyx_t_9(__pyx_t_4); if (unlikely(!__pyx_t_1)) goto __pyx_L4_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_1);
      index = 2; __pyx_t_5 = __pyx_t_9(__pyx_t_4); if (unlikely(!__pyx_t_5)) goto __pyx_L4_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_5);
      if (__Pyx_IternextUnpackEndCheck(__pyx_t_9(__pyx_t_4), 3) < (0)) __PYX_ERR(0, 1245, __pyx_L1_error)
      __pyx_t_9 = NULL;
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      goto __pyx_L5_unpacking_done;
      __pyx_L4_unpacking_failed:;
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_t_9 = NULL;
      if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
      __PYX_ERR(0, 1245, __pyx_L1_error)
      __pyx_L5_unpacking_done:;
    }
    __pyx_v_a = __pyx_t_3;
    __pyx_t_3 = 0;
    __pyx_v_b = __pyx_t_1;
    __pyx_t_1 = 0;
    __pyx_v_c = __pyx_t_5;
    __pyx_t_5 = 0;

    /* "fontTools/misc/bezierTools.py":1246
 *     if len(curve) == 3:
 *         a, b, c = calcQuadraticParameters(*aligned_curve)
 *         intersections = solveQuadratic(a[1], b[1], c[1])             # <<<<<<<<<<<<<<
 *     elif len(curve) == 4:
 *         a, b, c, d = calcCubicParameters(*aligned_curve)
*/
    __pyx_t_5 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_mstate_global->__pyx_n_u_solveQuadratic); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1246, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_a, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_OwnStrongReference); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1246, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_GetItemInt(__pyx_v_b, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_OwnStrongReference); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1246, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_10 = __Pyx_GetItemInt(__pyx_v_c, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_OwnStrongReference); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1246, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_10);
    __pyx_t_6 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_1))) {
      __pyx_t_5 = PyMethod_GET_SELF(__pyx_t_1);
      assert(__pyx_t_5);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_1);
      __Pyx_INCREF(__pyx_t_5);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_1, __pyx__function);
      __pyx_t_6 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[4] = {__pyx_t_5, __pyx_t_3, __pyx_t_4, __pyx_t_10};
      __pyx_t_2 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_1, __pyx_callargs+__pyx_t_6, (4-__pyx_t_6) | (__pyx_t_6*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1246, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
    }
    __pyx_v_intersections = __pyx_t_2;
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":1244
 * def _curve_line_intersections_t(curve, line):
 *     aligned_curve = _alignment_transformation(line).transformPoints(curve)
 *     if len(curve) == 3:             # <<<<<<<<<<<<<<
 *         a, b, c = calcQuadraticParameters(*aligned_curve)
 *         intersections = solveQuadratic(a[1], b[1], c[1])
*/
    goto __pyx_L3;
  }

  /* "fontTools/misc/bezierTools.py":1247
 *         a, b, c = calcQuadraticParameters(*aligned_curve)
 *         intersections = solveQuadratic(a[1], b[1], c[1])
 *     elif len(curve) == 4:             # <<<<<<<<<<<<<<
 *         a, b, c, d = calcCubicParameters(*aligned_curve)
 *         intersections = solveCubic(a[1], b[1], c[1], d[1])
*/
  __pyx_t_7 = PyObject_Length(__pyx_v_curve); if (unlikely(__pyx_t_7 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1247, __pyx_L1_error)
  __pyx_t_8 = (__pyx_t_7 == 4);
  if (likely(__pyx_t_8)) {

    /* "fontTools/misc/bezierTools.py":1248
 *         intersections = solveQuadratic(a[1], b[1], c[1])
 *     elif len(curve) == 4:
 *         a, b, c, d = calcCubicParameters(*aligned_curve)             # <<<<<<<<<<<<<<
 *         intersections = solveCubic(a[1], b[1], c[1], d[1])
 *     else:
*/
    __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_calcCubicParameters); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1248, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_PySequence_Tuple(__pyx_v_aligned_curve); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1248, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_10 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_1, NULL); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1248, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_10);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    if ((likely(PyTuple_CheckExact(__pyx_t_10))) || (PyList_CheckExact(__pyx_t_10))) {
      PyObject* sequence = __pyx_t_10;
      Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
      if (unlikely(size != 4)) {
        if (size > 4) __Pyx_RaiseTooManyValuesError(4);
        else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
        __PYX_ERR(0, 1248, __pyx_L1_error)
      }
      #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      if (likely(PyTuple_CheckExact(sequence))) {
        __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0);
        __Pyx_INCREF(__pyx_t_1);
        __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1);
        __Pyx_INCREF(__pyx_t_2);
        __pyx_t_4 = PyTuple_GET_ITEM(sequence, 2);
        __Pyx_INCREF(__pyx_t_4);
        __pyx_t_3 = PyTuple_GET_ITEM(sequence, 3);
        __Pyx_INCREF(__pyx_t_3);
      } else {
        __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
        if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1248, __pyx_L1_error)
        __Pyx_XGOTREF(__pyx_t_1);
        __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
        if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1248, __pyx_L1_error)
        __Pyx_XGOTREF(__pyx_t_2);
        __pyx_t_4 = __Pyx_PyList_GetItemRefFast(sequence, 2, __Pyx_ReferenceSharing_SharedReference);
        if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1248, __pyx_L1_error)
        __Pyx_XGOTREF(__pyx_t_4);
        __pyx_t_3 = __Pyx_PyList_GetItemRefFast(sequence, 3, __Pyx_ReferenceSharing_SharedReference);
        if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1248, __pyx_L1_error)
        __Pyx_XGOTREF(__pyx_t_3);
      }
      #else
      {
        Py_ssize_t i;
        PyObject** temps[4] = {&__pyx_t_1,&__pyx_t_2,&__pyx_t_4,&__pyx_t_3};
        for (i=0; i < 4; i++) {
          PyObject* item = __Pyx_PySequence_ITEM(sequence, i); if (unlikely(!item)) __PYX_ERR(0, 1248, __pyx_L1_error)
          __Pyx_GOTREF(item);
          *(temps[i]) = item;
        }
      }
      #endif
      __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    } else {
      Py_ssize_t index = -1;
      PyObject** temps[4] = {&__pyx_t_1,&__pyx_t_2,&__pyx_t_4,&__pyx_t_3};
      __pyx_t_5 = PyObject_GetIter(__pyx_t_10); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1248, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_5);
      __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
      __pyx_t_9 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_5);
      for (index=0; index < 4; index++) {
        PyObject* item = __pyx_t_9(__pyx_t_5); if (unlikely(!item)) goto __pyx_L6_unpacking_failed;
        __Pyx_GOTREF(item);
        *(temps[index]) = item;
      }
      if (__Pyx_IternextUnpackEndCheck(__pyx_t_9(__pyx_t_5), 4) < (0)) __PYX_ERR(0, 1248, __pyx_L1_error)
      __pyx_t_9 = NULL;
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      goto __pyx_L7_unpacking_done;
      __pyx_L6_unpacking_failed:;
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      __pyx_t_9 = NULL;
      if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
      __PYX_ERR(0, 1248, __pyx_L1_error)
      __pyx_L7_unpacking_done:;
    }
    __pyx_v_a = __pyx_t_1;
    __pyx_t_1 = 0;
    __pyx_v_b = __pyx_t_2;
    __pyx_t_2 = 0;
    __pyx_v_c = __pyx_t_4;
    __pyx_t_4 = 0;
    __pyx_v_d = __pyx_t_3;
    __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":1249
 *     elif len(curve) == 4:
 *         a, b, c, d = calcCubicParameters(*aligned_curve)
 *         intersections = solveCubic(a[1], b[1], c[1], d[1])             # <<<<<<<<<<<<<<
 *     else:
 *         raise ValueError("Unknown curve degree")
*/
    __pyx_t_3 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_4, __pyx_mstate_global->__pyx_n_u_solveCubic); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1249, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_a, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_OwnStrongReference); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1249, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_b, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_OwnStrongReference); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1249, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_5 = __Pyx_GetItemInt(__pyx_v_c, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_OwnStrongReference); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1249, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_11 = __Pyx_GetItemInt(__pyx_v_d, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_OwnStrongReference); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1249, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_11);
    __pyx_t_6 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_4))) {
      __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_4);
      assert(__pyx_t_3);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_4);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_4, __pyx__function);
      __pyx_t_6 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[5] = {__pyx_t_3, __pyx_t_2, __pyx_t_1, __pyx_t_5, __pyx_t_11};
      __pyx_t_10 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_4, __pyx_callargs+__pyx_t_6, (5-__pyx_t_6) | (__pyx_t_6*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1249, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_10);
    }
    __pyx_v_intersections = __pyx_t_10;
    __pyx_t_10 = 0;

    /* "fontTools/misc/bezierTools.py":1247
 *         a, b, c = calcQuadraticParameters(*aligned_curve)
 *         intersections = solveQuadratic(a[1], b[1], c[1])
 *     elif len(curve) == 4:             # <<<<<<<<<<<<<<
 *         a, b, c, d = calcCubicParameters(*aligned_curve)
 *         intersections = solveCubic(a[1], b[1], c[1], d[1])
*/
    goto __pyx_L3;
  }

  /* "fontTools/misc/bezierTools.py":1251
 *         intersections = solveCubic(a[1], b[1], c[1], d[1])
 *     else:
 *         raise ValueError("Unknown curve degree")             # <<<<<<<<<<<<<<
 *     return sorted(i for i in intersections if 0.0 <= i <= 1)
 * 
*/
  /*else*/ {
    __pyx_t_4 = NULL;
    __pyx_t_6 = 1;
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_4, __pyx_mstate_global->__pyx_kp_u_Unknown_curve_degree};
      __pyx_t_10 = __Pyx_PyObject_FastCall((PyObject*)(((PyTypeObject*)PyExc_ValueError)), __pyx_callargs+__pyx_t_6, (2-__pyx_t_6) | (__pyx_t_6*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;
      if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1251, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_10);
    }
    __Pyx_Raise(__pyx_t_10, 0, 0, 0);
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    __PYX_ERR(0, 1251, __pyx_L1_error)
  }
  __pyx_L3:;

  /* "fontTools/misc/bezierTools.py":1252
 *     else:
 *         raise ValueError("Unknown curve degree")
 *     return sorted(i for i in intersections if 0.0 <= i <= 1)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_10 = __pyx_pf_9fontTools_4misc_11bezierTools_27_curve_line_intersections_t_genexpr(NULL, __pyx_v_intersections); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1252, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_10);
  __pyx_t_4 = __Pyx_Generator_GetInlinedResult(__pyx_t_10); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1252, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
  if (unlikely((PyList_Sort(__pyx_t_4) < 0))) __PYX_ERR(0, 1252, __pyx_L1_error)
  __pyx_r = __pyx_t_4;
  __pyx_t_4 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1242
 * 
 * 
 * def _curve_line_intersections_t(curve, line):             # <<<<<<<<<<<<<<
 *     aligned_curve = _alignment_transformation(line).transformPoints(curve)
 *     if len(curve) == 3:
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_10);
  __Pyx_XDECREF(__pyx_t_11);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._curve_line_intersections_t", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_aligned_curve);
  __Pyx_XDECREF(__pyx_v_a);
  __Pyx_XDECREF(__pyx_v_b);
  __Pyx_XDECREF(__pyx_v_c);
  __Pyx_XDECREF(__pyx_v_intersections);
  __Pyx_XDECREF(__pyx_v_d);
  __Pyx_XDECREF(__pyx_gb_9fontTools_4misc_11bezierTools_27_curve_line_intersections_t_2generator4);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1255
 * 
 * 
 * def curveLineIntersections(curve, line):             # <<<<<<<<<<<<<<
 *     """Finds intersections between a curve and a line.
 * 
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_79curveLineIntersections(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_78curveLineIntersections, "curveLineIntersections(curve, line)\n\nFinds intersections between a curve and a line.\n\nArgs:\n    curve: List of coordinates of the curve segment as 2D tuples.\n    line: List of coordinates of the line segment as 2D tuples.\n\nReturns:\n    A list of ``Intersection`` objects, each object having ``pt``, ``t1``\n    and ``t2`` attributes containing the intersection point, time on first\n    segment and time on second segment respectively.\n\nExamples::\n    >>> curve = [ (100, 240), (30, 60), (210, 230), (160, 30) ]\n    >>> line  = [ (25, 260), (230, 20) ]\n    >>> intersections = curveLineIntersections(curve, line)\n    >>> len(intersections)\n    3\n    >>> intersections[0].pt\n    (84.9000930760723, 189.87306176459828)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_79curveLineIntersections = {"curveLineIntersections", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_79curveLineIntersections, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_78curveLineIntersections};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_79curveLineIntersections(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_curve = 0;
  PyObject *__pyx_v_line = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[2] = {0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("curveLineIntersections (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_curve,&__pyx_mstate_global->__pyx_n_u_line,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 1255, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1255, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1255, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "curveLineIntersections", 0) < (0)) __PYX_ERR(0, 1255, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 2; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("curveLineIntersections", 1, 2, 2, i); __PYX_ERR(0, 1255, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 2)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1255, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1255, __pyx_L3_error)
    }
    __pyx_v_curve = values[0];
    __pyx_v_line = values[1];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("curveLineIntersections", 1, 2, 2, __pyx_nargs); __PYX_ERR(0, 1255, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.curveLineIntersections", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_78curveLineIntersections(__pyx_self, __pyx_v_curve, __pyx_v_line);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_78curveLineIntersections(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_curve, PyObject *__pyx_v_line) {
  PyObject *__pyx_v_pointFinder = NULL;
  PyObject *__pyx_v_intersections = NULL;
  PyObject *__pyx_v_t = NULL;
  PyObject *__pyx_v_pt = NULL;
  PyObject *__pyx_v_line_t = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  Py_ssize_t __pyx_t_1;
  int __pyx_t_2;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  size_t __pyx_t_5;
  PyObject *__pyx_t_6 = NULL;
  PyObject *(*__pyx_t_7)(PyObject *);
  PyObject *__pyx_t_8 = NULL;
  PyObject *__pyx_t_9 = NULL;
  int __pyx_t_10;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("curveLineIntersections", 0);

  /* "fontTools/misc/bezierTools.py":1276
 *         (84.9000930760723, 189.87306176459828)
 *     """
 *     if len(curve) == 3:             # <<<<<<<<<<<<<<
 *         pointFinder = quadraticPointAtT
 *     elif len(curve) == 4:
*/
  __pyx_t_1 = PyObject_Length(__pyx_v_curve); if (unlikely(__pyx_t_1 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1276, __pyx_L1_error)
  __pyx_t_2 = (__pyx_t_1 == 3);
  if (__pyx_t_2) {

    /* "fontTools/misc/bezierTools.py":1277
 *     """
 *     if len(curve) == 3:
 *         pointFinder = quadraticPointAtT             # <<<<<<<<<<<<<<
 *     elif len(curve) == 4:
 *         pointFinder = cubicPointAtT
*/
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_quadraticPointAtT); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1277, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_v_pointFinder = __pyx_t_3;
    __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":1276
 *         (84.9000930760723, 189.87306176459828)
 *     """
 *     if len(curve) == 3:             # <<<<<<<<<<<<<<
 *         pointFinder = quadraticPointAtT
 *     elif len(curve) == 4:
*/
    goto __pyx_L3;
  }

  /* "fontTools/misc/bezierTools.py":1278
 *     if len(curve) == 3:
 *         pointFinder = quadraticPointAtT
 *     elif len(curve) == 4:             # <<<<<<<<<<<<<<
 *         pointFinder = cubicPointAtT
 *     else:
*/
  __pyx_t_1 = PyObject_Length(__pyx_v_curve); if (unlikely(__pyx_t_1 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1278, __pyx_L1_error)
  __pyx_t_2 = (__pyx_t_1 == 4);
  if (likely(__pyx_t_2)) {

    /* "fontTools/misc/bezierTools.py":1279
 *         pointFinder = quadraticPointAtT
 *     elif len(curve) == 4:
 *         pointFinder = cubicPointAtT             # <<<<<<<<<<<<<<
 *     else:
 *         raise ValueError("Unknown curve degree")
*/
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_cubicPointAtT); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1279, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_v_pointFinder = __pyx_t_3;
    __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":1278
 *     if len(curve) == 3:
 *         pointFinder = quadraticPointAtT
 *     elif len(curve) == 4:             # <<<<<<<<<<<<<<
 *         pointFinder = cubicPointAtT
 *     else:
*/
    goto __pyx_L3;
  }

  /* "fontTools/misc/bezierTools.py":1281
 *         pointFinder = cubicPointAtT
 *     else:
 *         raise ValueError("Unknown curve degree")             # <<<<<<<<<<<<<<
 *     intersections = []
 *     for t in _curve_line_intersections_t(curve, line):
*/
  /*else*/ {
    __pyx_t_4 = NULL;
    __pyx_t_5 = 1;
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_4, __pyx_mstate_global->__pyx_kp_u_Unknown_curve_degree};
      __pyx_t_3 = __Pyx_PyObject_FastCall((PyObject*)(((PyTypeObject*)PyExc_ValueError)), __pyx_callargs+__pyx_t_5, (2-__pyx_t_5) | (__pyx_t_5*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;
      if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1281, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
    }
    __Pyx_Raise(__pyx_t_3, 0, 0, 0);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __PYX_ERR(0, 1281, __pyx_L1_error)
  }
  __pyx_L3:;

  /* "fontTools/misc/bezierTools.py":1282
 *     else:
 *         raise ValueError("Unknown curve degree")
 *     intersections = []             # <<<<<<<<<<<<<<
 *     for t in _curve_line_intersections_t(curve, line):
 *         pt = pointFinder(*curve, t)
*/
  __pyx_t_3 = PyList_New(0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1282, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_v_intersections = ((PyObject*)__pyx_t_3);
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1283
 *         raise ValueError("Unknown curve degree")
 *     intersections = []
 *     for t in _curve_line_intersections_t(curve, line):             # <<<<<<<<<<<<<<
 *         pt = pointFinder(*curve, t)
 *         # Back-project the point onto the line, to avoid problems with
*/
  __pyx_t_4 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_6, __pyx_mstate_global->__pyx_n_u_curve_line_intersections_t); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1283, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __pyx_t_5 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_6))) {
    __pyx_t_4 = PyMethod_GET_SELF(__pyx_t_6);
    assert(__pyx_t_4);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_6);
    __Pyx_INCREF(__pyx_t_4);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_6, __pyx__function);
    __pyx_t_5 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_4, __pyx_v_curve, __pyx_v_line};
    __pyx_t_3 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_6, __pyx_callargs+__pyx_t_5, (3-__pyx_t_5) | (__pyx_t_5*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1283, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
  }
  if (likely(PyList_CheckExact(__pyx_t_3)) || PyTuple_CheckExact(__pyx_t_3)) {
    __pyx_t_6 = __pyx_t_3; __Pyx_INCREF(__pyx_t_6);
    __pyx_t_1 = 0;
    __pyx_t_7 = NULL;
  } else {
    __pyx_t_1 = -1; __pyx_t_6 = PyObject_GetIter(__pyx_t_3); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1283, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_7 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_6); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1283, __pyx_L1_error)
  }
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  for (;;) {
    if (likely(!__pyx_t_7)) {
      if (likely(PyList_CheckExact(__pyx_t_6))) {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_6);
          #if !CYTHON_ASSUME_SAFE_SIZE
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1283, __pyx_L1_error)
          #endif
          if (__pyx_t_1 >= __pyx_temp) break;
        }
        __pyx_t_3 = __Pyx_PyList_GetItemRefFast(__pyx_t_6, __pyx_t_1, __Pyx_ReferenceSharing_OwnStrongReference);
        ++__pyx_t_1;
      } else {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_6);
          #if !CYTHON_ASSUME_SAFE_SIZE
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1283, __pyx_L1_error)
          #endif
          if (__pyx_t_1 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_3 = __Pyx_NewRef(PyTuple_GET_ITEM(__pyx_t_6, __pyx_t_1));
        #else
        __pyx_t_3 = __Pyx_PySequence_ITEM(__pyx_t_6, __pyx_t_1);
        #endif
        ++__pyx_t_1;
      }
      if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1283, __pyx_L1_error)
    } else {
      __pyx_t_3 = __pyx_t_7(__pyx_t_6);
      if (unlikely(!__pyx_t_3)) {
        PyObject* exc_type = PyErr_Occurred();
        if (exc_type) {
          if (unlikely(!__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) __PYX_ERR(0, 1283, __pyx_L1_error)
          PyErr_Clear();
        }
        break;
      }
    }
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_XDECREF_SET(__pyx_v_t, __pyx_t_3);
    __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":1284
 *     intersections = []
 *     for t in _curve_line_intersections_t(curve, line):
 *         pt = pointFinder(*curve, t)             # <<<<<<<<<<<<<<
 *         # Back-project the point onto the line, to avoid problems with
 *         # numerical accuracy in the case of vertical and horizontal lines
*/
    __pyx_t_3 = __Pyx_PySequence_Tuple(__pyx_v_curve); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1284, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = PyTuple_New(1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1284, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_INCREF(__pyx_v_t);
    __Pyx_GIVEREF(__pyx_v_t);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_4, 0, __pyx_v_t) != (0)) __PYX_ERR(0, 1284, __pyx_L1_error);
    __pyx_t_8 = PyNumber_Add(__pyx_t_3, __pyx_t_4); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1284, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_4 = __Pyx_PyObject_Call(__pyx_v_pointFinder, __pyx_t_8, NULL); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1284, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __Pyx_XDECREF_SET(__pyx_v_pt, __pyx_t_4);
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":1287
 *         # Back-project the point onto the line, to avoid problems with
 *         # numerical accuracy in the case of vertical and horizontal lines
 *         line_t = _line_t_of_pt(*line, pt)             # <<<<<<<<<<<<<<
 *         pt = linePointAtT(*line, line_t)
 *         intersections.append(Intersection(pt=pt, t1=t, t2=line_t))
*/
    __Pyx_GetModuleGlobalName(__pyx_t_4, __pyx_mstate_global->__pyx_n_u_line_t_of_pt); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1287, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_8 = __Pyx_PySequence_Tuple(__pyx_v_line); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1287, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1287, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_INCREF(__pyx_v_pt);
    __Pyx_GIVEREF(__pyx_v_pt);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_pt) != (0)) __PYX_ERR(0, 1287, __pyx_L1_error);
    __pyx_t_9 = PyNumber_Add(__pyx_t_8, __pyx_t_3); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1287, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_4, __pyx_t_9, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1287, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    __Pyx_XDECREF_SET(__pyx_v_line_t, __pyx_t_3);
    __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":1288
 *         # numerical accuracy in the case of vertical and horizontal lines
 *         line_t = _line_t_of_pt(*line, pt)
 *         pt = linePointAtT(*line, line_t)             # <<<<<<<<<<<<<<
 *         intersections.append(Intersection(pt=pt, t1=t, t2=line_t))
 *     return intersections
*/
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_linePointAtT); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1288, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_9 = __Pyx_PySequence_Tuple(__pyx_v_line); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1288, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __pyx_t_4 = PyTuple_New(1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1288, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_INCREF(__pyx_v_line_t);
    __Pyx_GIVEREF(__pyx_v_line_t);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_4, 0, __pyx_v_line_t) != (0)) __PYX_ERR(0, 1288, __pyx_L1_error);
    __pyx_t_8 = PyNumber_Add(__pyx_t_9, __pyx_t_4); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1288, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_4 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_8, NULL); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1288, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __Pyx_DECREF_SET(__pyx_v_pt, __pyx_t_4);
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":1289
 *         line_t = _line_t_of_pt(*line, pt)
 *         pt = linePointAtT(*line, line_t)
 *         intersections.append(Intersection(pt=pt, t1=t, t2=line_t))             # <<<<<<<<<<<<<<
 *     return intersections
 * 
*/
    __pyx_t_8 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_Intersection); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1289, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_5 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_3))) {
      __pyx_t_8 = PyMethod_GET_SELF(__pyx_t_3);
      assert(__pyx_t_8);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_8);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
      __pyx_t_5 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[2 + ((CYTHON_VECTORCALL) ? 3 : 0)] = {__pyx_t_8, NULL};
      __pyx_t_9 = __Pyx_MakeVectorcallBuilderKwds(3); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1289, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_9);
      if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_pt, __pyx_v_pt, __pyx_t_9, __pyx_callargs+1, 0) < (0)) __PYX_ERR(0, 1289, __pyx_L1_error)
      if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_t1, __pyx_v_t, __pyx_t_9, __pyx_callargs+1, 1) < (0)) __PYX_ERR(0, 1289, __pyx_L1_error)
      if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_t2, __pyx_v_line_t, __pyx_t_9, __pyx_callargs+1, 2) < (0)) __PYX_ERR(0, 1289, __pyx_L1_error)
      __pyx_t_4 = __Pyx_Object_Vectorcall_CallFromBuilder((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_5, (1-__pyx_t_5) | (__pyx_t_5*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET), __pyx_t_9);
      __Pyx_XDECREF(__pyx_t_8); __pyx_t_8 = 0;
      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1289, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_4);
    }
    __pyx_t_10 = __Pyx_PyList_Append(__pyx_v_intersections, __pyx_t_4); if (unlikely(__pyx_t_10 == ((int)-1))) __PYX_ERR(0, 1289, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":1283
 *         raise ValueError("Unknown curve degree")
 *     intersections = []
 *     for t in _curve_line_intersections_t(curve, line):             # <<<<<<<<<<<<<<
 *         pt = pointFinder(*curve, t)
 *         # Back-project the point onto the line, to avoid problems with
*/
  }
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;

  /* "fontTools/misc/bezierTools.py":1290
 *         pt = linePointAtT(*line, line_t)
 *         intersections.append(Intersection(pt=pt, t1=t, t2=line_t))
 *     return intersections             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __Pyx_INCREF(__pyx_v_intersections);
  __pyx_r = __pyx_v_intersections;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1255
 * 
 * 
 * def curveLineIntersections(curve, line):             # <<<<<<<<<<<<<<
 *     """Finds intersections between a curve and a line.
 * 
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_XDECREF(__pyx_t_9);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.curveLineIntersections", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_pointFinder);
  __Pyx_XDECREF(__pyx_v_intersections);
  __Pyx_XDECREF(__pyx_v_t);
  __Pyx_XDECREF(__pyx_v_pt);
  __Pyx_XDECREF(__pyx_v_line_t);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1293
 * 
 * 
 * def _curve_bounds(c):             # <<<<<<<<<<<<<<
 *     if len(c) == 3:
 *         return calcQuadraticBounds(*c)
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_81_curve_bounds(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_80_curve_bounds, "_curve_bounds(c)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_81_curve_bounds = {"_curve_bounds", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_81_curve_bounds, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_80_curve_bounds};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_81_curve_bounds(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_c = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[1] = {0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_curve_bounds (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_c,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 1293, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1293, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "_curve_bounds", 0) < (0)) __PYX_ERR(0, 1293, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 1; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("_curve_bounds", 1, 1, 1, i); __PYX_ERR(0, 1293, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 1)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1293, __pyx_L3_error)
    }
    __pyx_v_c = values[0];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_curve_bounds", 1, 1, 1, __pyx_nargs); __PYX_ERR(0, 1293, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._curve_bounds", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_80_curve_bounds(__pyx_self, __pyx_v_c);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_80_curve_bounds(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_c) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  Py_ssize_t __pyx_t_1;
  int __pyx_t_2;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  size_t __pyx_t_6;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_curve_bounds", 0);

  /* "fontTools/misc/bezierTools.py":1294
 * 
 * def _curve_bounds(c):
 *     if len(c) == 3:             # <<<<<<<<<<<<<<
 *         return calcQuadraticBounds(*c)
 *     elif len(c) == 4:
*/
  __pyx_t_1 = PyObject_Length(__pyx_v_c); if (unlikely(__pyx_t_1 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1294, __pyx_L1_error)
  __pyx_t_2 = (__pyx_t_1 == 3);
  if (__pyx_t_2) {

    /* "fontTools/misc/bezierTools.py":1295
 * def _curve_bounds(c):
 *     if len(c) == 3:
 *         return calcQuadraticBounds(*c)             # <<<<<<<<<<<<<<
 *     elif len(c) == 4:
 *         return calcCubicBounds(*c)
*/
    __Pyx_XDECREF(__pyx_r);
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_calcQuadraticBounds); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1295, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PySequence_Tuple(__pyx_v_c); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1295, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_5 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_4, NULL); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1295, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_r = __pyx_t_5;
    __pyx_t_5 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1294
 * 
 * def _curve_bounds(c):
 *     if len(c) == 3:             # <<<<<<<<<<<<<<
 *         return calcQuadraticBounds(*c)
 *     elif len(c) == 4:
*/
  }

  /* "fontTools/misc/bezierTools.py":1296
 *     if len(c) == 3:
 *         return calcQuadraticBounds(*c)
 *     elif len(c) == 4:             # <<<<<<<<<<<<<<
 *         return calcCubicBounds(*c)
 *     raise ValueError("Unknown curve degree")
*/
  __pyx_t_1 = PyObject_Length(__pyx_v_c); if (unlikely(__pyx_t_1 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1296, __pyx_L1_error)
  __pyx_t_2 = (__pyx_t_1 == 4);
  if (__pyx_t_2) {

    /* "fontTools/misc/bezierTools.py":1297
 *         return calcQuadraticBounds(*c)
 *     elif len(c) == 4:
 *         return calcCubicBounds(*c)             # <<<<<<<<<<<<<<
 *     raise ValueError("Unknown curve degree")
 * 
*/
    __Pyx_XDECREF(__pyx_r);
    __Pyx_GetModuleGlobalName(__pyx_t_5, __pyx_mstate_global->__pyx_n_u_calcCubicBounds); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1297, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_4 = __Pyx_PySequence_Tuple(__pyx_v_c); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1297, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_5, __pyx_t_4, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1297, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_r = __pyx_t_3;
    __pyx_t_3 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1296
 *     if len(c) == 3:
 *         return calcQuadraticBounds(*c)
 *     elif len(c) == 4:             # <<<<<<<<<<<<<<
 *         return calcCubicBounds(*c)
 *     raise ValueError("Unknown curve degree")
*/
  }

  /* "fontTools/misc/bezierTools.py":1298
 *     elif len(c) == 4:
 *         return calcCubicBounds(*c)
 *     raise ValueError("Unknown curve degree")             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_t_4 = NULL;
  __pyx_t_6 = 1;
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_4, __pyx_mstate_global->__pyx_kp_u_Unknown_curve_degree};
    __pyx_t_3 = __Pyx_PyObject_FastCall((PyObject*)(((PyTypeObject*)PyExc_ValueError)), __pyx_callargs+__pyx_t_6, (2-__pyx_t_6) | (__pyx_t_6*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;
    if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1298, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
  }
  __Pyx_Raise(__pyx_t_3, 0, 0, 0);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __PYX_ERR(0, 1298, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1293
 * 
 * 
 * def _curve_bounds(c):             # <<<<<<<<<<<<<<
 *     if len(c) == 3:
 *         return calcQuadraticBounds(*c)
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._curve_bounds", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1301
 * 
 * 
 * def _split_segment_at_t(c, t):             # <<<<<<<<<<<<<<
 *     if len(c) == 2:
 *         s, e = c
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_83_split_segment_at_t(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_82_split_segment_at_t, "_split_segment_at_t(c, t)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_83_split_segment_at_t = {"_split_segment_at_t", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_83_split_segment_at_t, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_82_split_segment_at_t};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_83_split_segment_at_t(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_c = 0;
  PyObject *__pyx_v_t = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[2] = {0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_split_segment_at_t (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_c,&__pyx_mstate_global->__pyx_n_u_t,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 1301, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1301, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1301, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "_split_segment_at_t", 0) < (0)) __PYX_ERR(0, 1301, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 2; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("_split_segment_at_t", 1, 2, 2, i); __PYX_ERR(0, 1301, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 2)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1301, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1301, __pyx_L3_error)
    }
    __pyx_v_c = values[0];
    __pyx_v_t = values[1];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_split_segment_at_t", 1, 2, 2, __pyx_nargs); __PYX_ERR(0, 1301, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._split_segment_at_t", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_82_split_segment_at_t(__pyx_self, __pyx_v_c, __pyx_v_t);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_82_split_segment_at_t(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_c, PyObject *__pyx_v_t) {
  PyObject *__pyx_v_s = NULL;
  PyObject *__pyx_v_e = NULL;
  PyObject *__pyx_v_midpoint = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  Py_ssize_t __pyx_t_1;
  int __pyx_t_2;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *(*__pyx_t_6)(PyObject *);
  size_t __pyx_t_7;
  PyObject *__pyx_t_8 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_split_segment_at_t", 0);

  /* "fontTools/misc/bezierTools.py":1302
 * 
 * def _split_segment_at_t(c, t):
 *     if len(c) == 2:             # <<<<<<<<<<<<<<
 *         s, e = c
 *         midpoint = linePointAtT(s, e, t)
*/
  __pyx_t_1 = PyObject_Length(__pyx_v_c); if (unlikely(__pyx_t_1 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1302, __pyx_L1_error)
  __pyx_t_2 = (__pyx_t_1 == 2);
  if (__pyx_t_2) {

    /* "fontTools/misc/bezierTools.py":1303
 * def _split_segment_at_t(c, t):
 *     if len(c) == 2:
 *         s, e = c             # <<<<<<<<<<<<<<
 *         midpoint = linePointAtT(s, e, t)
 *         return [(s, midpoint), (midpoint, e)]
*/
    if ((likely(PyTuple_CheckExact(__pyx_v_c))) || (PyList_CheckExact(__pyx_v_c))) {
      PyObject* sequence = __pyx_v_c;
      Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
      if (unlikely(size != 2)) {
        if (size > 2) __Pyx_RaiseTooManyValuesError(2);
        else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
        __PYX_ERR(0, 1303, __pyx_L1_error)
      }
      #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      if (likely(PyTuple_CheckExact(sequence))) {
        __pyx_t_3 = PyTuple_GET_ITEM(sequence, 0);
        __Pyx_INCREF(__pyx_t_3);
        __pyx_t_4 = PyTuple_GET_ITEM(sequence, 1);
        __Pyx_INCREF(__pyx_t_4);
      } else {
        __pyx_t_3 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
        if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1303, __pyx_L1_error)
        __Pyx_XGOTREF(__pyx_t_3);
        __pyx_t_4 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
        if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1303, __pyx_L1_error)
        __Pyx_XGOTREF(__pyx_t_4);
      }
      #else
      __pyx_t_3 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1303, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_4 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1303, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_4);
      #endif
    } else {
      Py_ssize_t index = -1;
      __pyx_t_5 = PyObject_GetIter(__pyx_v_c); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1303, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_5);
      __pyx_t_6 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_5);
      index = 0; __pyx_t_3 = __pyx_t_6(__pyx_t_5); if (unlikely(!__pyx_t_3)) goto __pyx_L4_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_3);
      index = 1; __pyx_t_4 = __pyx_t_6(__pyx_t_5); if (unlikely(!__pyx_t_4)) goto __pyx_L4_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_4);
      if (__Pyx_IternextUnpackEndCheck(__pyx_t_6(__pyx_t_5), 2) < (0)) __PYX_ERR(0, 1303, __pyx_L1_error)
      __pyx_t_6 = NULL;
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      goto __pyx_L5_unpacking_done;
      __pyx_L4_unpacking_failed:;
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      __pyx_t_6 = NULL;
      if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
      __PYX_ERR(0, 1303, __pyx_L1_error)
      __pyx_L5_unpacking_done:;
    }
    __pyx_v_s = __pyx_t_3;
    __pyx_t_3 = 0;
    __pyx_v_e = __pyx_t_4;
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":1304
 *     if len(c) == 2:
 *         s, e = c
 *         midpoint = linePointAtT(s, e, t)             # <<<<<<<<<<<<<<
 *         return [(s, midpoint), (midpoint, e)]
 *     if len(c) == 3:
*/
    __pyx_t_3 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_5, __pyx_mstate_global->__pyx_n_u_linePointAtT); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1304, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_7 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_5))) {
      __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_5);
      assert(__pyx_t_3);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_5);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_5, __pyx__function);
      __pyx_t_7 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[4] = {__pyx_t_3, __pyx_v_s, __pyx_v_e, __pyx_v_t};
      __pyx_t_4 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_5, __pyx_callargs+__pyx_t_7, (4-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1304, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_4);
    }
    __pyx_v_midpoint = __pyx_t_4;
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":1305
 *         s, e = c
 *         midpoint = linePointAtT(s, e, t)
 *         return [(s, midpoint), (midpoint, e)]             # <<<<<<<<<<<<<<
 *     if len(c) == 3:
 *         return splitQuadraticAtT(*c, t)
*/
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_4 = PyTuple_New(2); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1305, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_INCREF(__pyx_v_s);
    __Pyx_GIVEREF(__pyx_v_s);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_4, 0, __pyx_v_s) != (0)) __PYX_ERR(0, 1305, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_midpoint);
    __Pyx_GIVEREF(__pyx_v_midpoint);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_4, 1, __pyx_v_midpoint) != (0)) __PYX_ERR(0, 1305, __pyx_L1_error);
    __pyx_t_5 = PyTuple_New(2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1305, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_INCREF(__pyx_v_midpoint);
    __Pyx_GIVEREF(__pyx_v_midpoint);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_v_midpoint) != (0)) __PYX_ERR(0, 1305, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_e);
    __Pyx_GIVEREF(__pyx_v_e);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_v_e) != (0)) __PYX_ERR(0, 1305, __pyx_L1_error);
    __pyx_t_3 = PyList_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1305, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_GIVEREF(__pyx_t_4);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_3, 0, __pyx_t_4) != (0)) __PYX_ERR(0, 1305, __pyx_L1_error);
    __Pyx_GIVEREF(__pyx_t_5);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_3, 1, __pyx_t_5) != (0)) __PYX_ERR(0, 1305, __pyx_L1_error);
    __pyx_t_4 = 0;
    __pyx_t_5 = 0;
    __pyx_r = __pyx_t_3;
    __pyx_t_3 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1302
 * 
 * def _split_segment_at_t(c, t):
 *     if len(c) == 2:             # <<<<<<<<<<<<<<
 *         s, e = c
 *         midpoint = linePointAtT(s, e, t)
*/
  }

  /* "fontTools/misc/bezierTools.py":1306
 *         midpoint = linePointAtT(s, e, t)
 *         return [(s, midpoint), (midpoint, e)]
 *     if len(c) == 3:             # <<<<<<<<<<<<<<
 *         return splitQuadraticAtT(*c, t)
 *     elif len(c) == 4:
*/
  __pyx_t_1 = PyObject_Length(__pyx_v_c); if (unlikely(__pyx_t_1 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1306, __pyx_L1_error)
  __pyx_t_2 = (__pyx_t_1 == 3);
  if (__pyx_t_2) {

    /* "fontTools/misc/bezierTools.py":1307
 *         return [(s, midpoint), (midpoint, e)]
 *     if len(c) == 3:
 *         return splitQuadraticAtT(*c, t)             # <<<<<<<<<<<<<<
 *     elif len(c) == 4:
 *         return splitCubicAtT(*c, t)
*/
    __Pyx_XDECREF(__pyx_r);
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_splitQuadraticAtT_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1307, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_5 = __Pyx_PySequence_Tuple(__pyx_v_c); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1307, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_4 = PyTuple_New(1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1307, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_INCREF(__pyx_v_t);
    __Pyx_GIVEREF(__pyx_v_t);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_4, 0, __pyx_v_t) != (0)) __PYX_ERR(0, 1307, __pyx_L1_error);
    __pyx_t_8 = PyNumber_Add(__pyx_t_5, __pyx_t_4); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1307, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_4 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_8, NULL); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1307, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __pyx_r = __pyx_t_4;
    __pyx_t_4 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1306
 *         midpoint = linePointAtT(s, e, t)
 *         return [(s, midpoint), (midpoint, e)]
 *     if len(c) == 3:             # <<<<<<<<<<<<<<
 *         return splitQuadraticAtT(*c, t)
 *     elif len(c) == 4:
*/
  }

  /* "fontTools/misc/bezierTools.py":1308
 *     if len(c) == 3:
 *         return splitQuadraticAtT(*c, t)
 *     elif len(c) == 4:             # <<<<<<<<<<<<<<
 *         return splitCubicAtT(*c, t)
 *     raise ValueError("Unknown curve degree")
*/
  __pyx_t_1 = PyObject_Length(__pyx_v_c); if (unlikely(__pyx_t_1 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1308, __pyx_L1_error)
  __pyx_t_2 = (__pyx_t_1 == 4);
  if (__pyx_t_2) {

    /* "fontTools/misc/bezierTools.py":1309
 *         return splitQuadraticAtT(*c, t)
 *     elif len(c) == 4:
 *         return splitCubicAtT(*c, t)             # <<<<<<<<<<<<<<
 *     raise ValueError("Unknown curve degree")
 * 
*/
    __Pyx_XDECREF(__pyx_r);
    __Pyx_GetModuleGlobalName(__pyx_t_4, __pyx_mstate_global->__pyx_n_u_splitCubicAtT_2); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1309, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_8 = __Pyx_PySequence_Tuple(__pyx_v_c); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1309, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1309, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_INCREF(__pyx_v_t);
    __Pyx_GIVEREF(__pyx_v_t);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_t) != (0)) __PYX_ERR(0, 1309, __pyx_L1_error);
    __pyx_t_5 = PyNumber_Add(__pyx_t_8, __pyx_t_3); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1309, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_4, __pyx_t_5, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1309, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __pyx_r = __pyx_t_3;
    __pyx_t_3 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1308
 *     if len(c) == 3:
 *         return splitQuadraticAtT(*c, t)
 *     elif len(c) == 4:             # <<<<<<<<<<<<<<
 *         return splitCubicAtT(*c, t)
 *     raise ValueError("Unknown curve degree")
*/
  }

  /* "fontTools/misc/bezierTools.py":1310
 *     elif len(c) == 4:
 *         return splitCubicAtT(*c, t)
 *     raise ValueError("Unknown curve degree")             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_t_5 = NULL;
  __pyx_t_7 = 1;
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_5, __pyx_mstate_global->__pyx_kp_u_Unknown_curve_degree};
    __pyx_t_3 = __Pyx_PyObject_FastCall((PyObject*)(((PyTypeObject*)PyExc_ValueError)), __pyx_callargs+__pyx_t_7, (2-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
    if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1310, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
  }
  __Pyx_Raise(__pyx_t_3, 0, 0, 0);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __PYX_ERR(0, 1310, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1301
 * 
 * 
 * def _split_segment_at_t(c, t):             # <<<<<<<<<<<<<<
 *     if len(c) == 2:
 *         s, e = c
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._split_segment_at_t", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_s);
  __Pyx_XDECREF(__pyx_v_e);
  __Pyx_XDECREF(__pyx_v_midpoint);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1313
 * 
 * 
 * def _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *     curve1, curve2, precision=1e-3, range1=None, range2=None
 * ):
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_85_curve_curve_intersections_t(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_84_curve_curve_intersections_t, "_curve_curve_intersections_t(curve1, curve2, precision=1e-3, range1=None, range2=None)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_85_curve_curve_intersections_t = {"_curve_curve_intersections_t", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_85_curve_curve_intersections_t, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_84_curve_curve_intersections_t};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_85_curve_curve_intersections_t(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_curve1 = 0;
  PyObject *__pyx_v_curve2 = 0;
  PyObject *__pyx_v_precision = 0;
  PyObject *__pyx_v_range1 = 0;
  PyObject *__pyx_v_range2 = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[5] = {0,0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_curve_curve_intersections_t (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_curve1,&__pyx_mstate_global->__pyx_n_u_curve2,&__pyx_mstate_global->__pyx_n_u_precision,&__pyx_mstate_global->__pyx_n_u_range1,&__pyx_mstate_global->__pyx_n_u_range2,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 1313, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  5:
        values[4] = __Pyx_ArgRef_FASTCALL(__pyx_args, 4);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[4])) __PYX_ERR(0, 1313, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 1313, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 1313, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1313, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1313, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "_curve_curve_intersections_t", 0) < (0)) __PYX_ERR(0, 1313, __pyx_L3_error)
      if (!values[2]) values[2] = __Pyx_NewRef(((PyObject *)((PyObject*)__pyx_mstate_global->__pyx_float_1eneg_3)));

      /* "fontTools/misc/bezierTools.py":1314
 * 
 * def _curve_curve_intersections_t(
 *     curve1, curve2, precision=1e-3, range1=None, range2=None             # <<<<<<<<<<<<<<
 * ):
 *     bounds1 = _curve_bounds(curve1)
*/
      if (!values[3]) values[3] = __Pyx_NewRef(((PyObject *)Py_None));
      if (!values[4]) values[4] = __Pyx_NewRef(((PyObject *)Py_None));
      for (Py_ssize_t i = __pyx_nargs; i < 2; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("_curve_curve_intersections_t", 0, 2, 5, i); __PYX_ERR(0, 1313, __pyx_L3_error) }
      }
    } else {
      switch (__pyx_nargs) {
        case  5:
        values[4] = __Pyx_ArgRef_FASTCALL(__pyx_args, 4);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[4])) __PYX_ERR(0, 1313, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  4:
        values[3] = __Pyx_ArgRef_FASTCALL(__pyx_args, 3);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[3])) __PYX_ERR(0, 1313, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  3:
        values[2] = __Pyx_ArgRef_FASTCALL(__pyx_args, 2);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[2])) __PYX_ERR(0, 1313, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1313, __pyx_L3_error)
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1313, __pyx_L3_error)
        break;
        default: goto __pyx_L5_argtuple_error;
      }
      if (!values[2]) values[2] = __Pyx_NewRef(((PyObject *)((PyObject*)__pyx_mstate_global->__pyx_float_1eneg_3)));
      if (!values[3]) values[3] = __Pyx_NewRef(((PyObject *)Py_None));
      if (!values[4]) values[4] = __Pyx_NewRef(((PyObject *)Py_None));
    }
    __pyx_v_curve1 = values[0];
    __pyx_v_curve2 = values[1];
    __pyx_v_precision = values[2];
    __pyx_v_range1 = values[3];
    __pyx_v_range2 = values[4];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_curve_curve_intersections_t", 0, 2, 5, __pyx_nargs); __PYX_ERR(0, 1313, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._curve_curve_intersections_t", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_84_curve_curve_intersections_t(__pyx_self, __pyx_v_curve1, __pyx_v_curve2, __pyx_v_precision, __pyx_v_range1, __pyx_v_range2);

  /* "fontTools/misc/bezierTools.py":1313
 * 
 * 
 * def _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *     curve1, curve2, precision=1e-3, range1=None, range2=None
 * ):
*/

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1329
 *         return []
 * 
 *     def midpoint(r):             # <<<<<<<<<<<<<<
 *         return 0.5 * (r[0] + r[1])
 * 
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_1midpoint(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_1midpoint = {"midpoint", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_1midpoint, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_1midpoint(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_r = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[1] = {0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("midpoint (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_r,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 1329, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1329, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "midpoint", 0) < (0)) __PYX_ERR(0, 1329, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 1; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("midpoint", 1, 1, 1, i); __PYX_ERR(0, 1329, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 1)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1329, __pyx_L3_error)
    }
    __pyx_v_r = values[0];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("midpoint", 1, 1, 1, __pyx_nargs); __PYX_ERR(0, 1329, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._curve_curve_intersections_t.midpoint", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_midpoint(__pyx_self, __pyx_v_r);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_midpoint(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_r) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("midpoint", 0);

  /* "fontTools/misc/bezierTools.py":1330
 * 
 *     def midpoint(r):
 *         return 0.5 * (r[0] + r[1])             # <<<<<<<<<<<<<<
 * 
 *     # If they do overlap but they're tiny, approximate
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_r, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1330, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_r, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1330, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyNumber_Add(__pyx_t_1, __pyx_t_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1330, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Multiply(__pyx_mstate_global->__pyx_float_0_5, __pyx_t_3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1330, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_r = __pyx_t_2;
  __pyx_t_2 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1329
 *         return []
 * 
 *     def midpoint(r):             # <<<<<<<<<<<<<<
 *         return 0.5 * (r[0] + r[1])
 * 
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._curve_curve_intersections_t.midpoint", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1366
 *     )
 * 
 *     unique_key = lambda ts: (int(ts[0] / precision), int(ts[1] / precision))             # <<<<<<<<<<<<<<
 *     seen = set()
 *     unique_values = []
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_2lambda3(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_2lambda3 = {"lambda3", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_2lambda3, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_2lambda3(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_ts = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[1] = {0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("lambda3 (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_ts,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 1366, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1366, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "lambda3", 0) < (0)) __PYX_ERR(0, 1366, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 1; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("lambda3", 1, 1, 1, i); __PYX_ERR(0, 1366, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 1)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1366, __pyx_L3_error)
    }
    __pyx_v_ts = values[0];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("lambda3", 1, 1, 1, __pyx_nargs); __PYX_ERR(0, 1366, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._curve_curve_intersections_t.lambda3", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_lambda_funcdef_lambda3(__pyx_self, __pyx_v_ts);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_lambda_funcdef_lambda3(PyObject *__pyx_self, PyObject *__pyx_v_ts) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *__pyx_cur_scope;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *__pyx_outer_scope;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("lambda3", 0);
  __pyx_outer_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *) __Pyx_CyFunction_GetClosure(__pyx_self);
  __pyx_cur_scope = __pyx_outer_scope;
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_ts, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1366, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (unlikely(!__pyx_cur_scope->__pyx_v_precision)) { __Pyx_RaiseClosureNameError("precision"); __PYX_ERR(0, 1366, __pyx_L1_error) }
  __pyx_t_2 = __Pyx_PyNumber_Divide(__pyx_t_1, __pyx_cur_scope->__pyx_v_precision); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1366, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = __Pyx_PyNumber_Int(__pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1366, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_ts, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1366, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (unlikely(!__pyx_cur_scope->__pyx_v_precision)) { __Pyx_RaiseClosureNameError("precision"); __PYX_ERR(0, 1366, __pyx_L1_error) }
  __pyx_t_3 = __Pyx_PyNumber_Divide(__pyx_t_2, __pyx_cur_scope->__pyx_v_precision); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1366, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_PyNumber_Int(__pyx_t_3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1366, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1366, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_1) != (0)) __PYX_ERR(0, 1366, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_2) != (0)) __PYX_ERR(0, 1366, __pyx_L1_error);
  __pyx_t_1 = 0;
  __pyx_t_2 = 0;
  __pyx_r = __pyx_t_3;
  __pyx_t_3 = 0;
  goto __pyx_L0;

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._curve_curve_intersections_t.lambda3", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1313
 * 
 * 
 * def _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *     curve1, curve2, precision=1e-3, range1=None, range2=None
 * ):
*/

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_84_curve_curve_intersections_t(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_curve1, PyObject *__pyx_v_curve2, PyObject *__pyx_v_precision, PyObject *__pyx_v_range1, PyObject *__pyx_v_range2) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *__pyx_cur_scope;
  PyObject *__pyx_v_bounds1 = NULL;
  PyObject *__pyx_v_bounds2 = NULL;
  PyObject *__pyx_v_intersects = NULL;
  CYTHON_UNUSED PyObject *__pyx_v__ = NULL;
  PyObject *__pyx_v_midpoint = 0;
  PyObject *__pyx_v_c11 = NULL;
  PyObject *__pyx_v_c12 = NULL;
  PyObject *__pyx_v_c11_range = NULL;
  PyObject *__pyx_v_c12_range = NULL;
  PyObject *__pyx_v_c21 = NULL;
  PyObject *__pyx_v_c22 = NULL;
  PyObject *__pyx_v_c21_range = NULL;
  PyObject *__pyx_v_c22_range = NULL;
  PyObject *__pyx_v_found = NULL;
  PyObject *__pyx_v_unique_key = NULL;
  PyObject *__pyx_v_seen = NULL;
  PyObject *__pyx_v_unique_values = NULL;
  PyObject *__pyx_v_ts = NULL;
  PyObject *__pyx_v_key = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  size_t __pyx_t_4;
  int __pyx_t_5;
  int __pyx_t_6;
  PyObject *__pyx_t_7 = NULL;
  PyObject *(*__pyx_t_8)(PyObject *);
  int __pyx_t_9;
  Py_ssize_t __pyx_t_10;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_curve_curve_intersections_t", 0);
  __pyx_cur_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t(__pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t, __pyx_mstate_global->__pyx_empty_tuple, NULL);
  if (unlikely(!__pyx_cur_scope)) {
    __pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *)Py_None);
    __Pyx_INCREF(Py_None);
    __PYX_ERR(0, 1313, __pyx_L1_error)
  } else {
    __Pyx_GOTREF((PyObject *)__pyx_cur_scope);
  }
  __pyx_cur_scope->__pyx_v_precision = __pyx_v_precision;
  __Pyx_INCREF(__pyx_cur_scope->__pyx_v_precision);
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_v_precision);
  __Pyx_INCREF(__pyx_v_range1);
  __Pyx_INCREF(__pyx_v_range2);

  /* "fontTools/misc/bezierTools.py":1316
 *     curve1, curve2, precision=1e-3, range1=None, range2=None
 * ):
 *     bounds1 = _curve_bounds(curve1)             # <<<<<<<<<<<<<<
 *     bounds2 = _curve_bounds(curve2)
 * 
*/
  __pyx_t_2 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_curve_bounds); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1316, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    assert(__pyx_t_2);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
    __pyx_t_4 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_2, __pyx_v_curve1};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_4, (2-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_v_bounds1 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1317
 * ):
 *     bounds1 = _curve_bounds(curve1)
 *     bounds2 = _curve_bounds(curve2)             # <<<<<<<<<<<<<<
 * 
 *     if not range1:
*/
  __pyx_t_3 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_curve_bounds); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1317, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_4 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    assert(__pyx_t_3);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_3);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_2, __pyx__function);
    __pyx_t_4 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_3, __pyx_v_curve2};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_2, __pyx_callargs+__pyx_t_4, (2-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1317, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_v_bounds2 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1319
 *     bounds2 = _curve_bounds(curve2)
 * 
 *     if not range1:             # <<<<<<<<<<<<<<
 *         range1 = (0.0, 1.0)
 *     if not range2:
*/
  __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_v_range1); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 1319, __pyx_L1_error)
  __pyx_t_6 = (!__pyx_t_5);
  if (__pyx_t_6) {

    /* "fontTools/misc/bezierTools.py":1320
 * 
 *     if not range1:
 *         range1 = (0.0, 1.0)             # <<<<<<<<<<<<<<
 *     if not range2:
 *         range2 = (0.0, 1.0)
*/
    __Pyx_INCREF(__pyx_mstate_global->__pyx_tuple[1]);
    __Pyx_DECREF_SET(__pyx_v_range1, __pyx_mstate_global->__pyx_tuple[1]);

    /* "fontTools/misc/bezierTools.py":1319
 *     bounds2 = _curve_bounds(curve2)
 * 
 *     if not range1:             # <<<<<<<<<<<<<<
 *         range1 = (0.0, 1.0)
 *     if not range2:
*/
  }

  /* "fontTools/misc/bezierTools.py":1321
 *     if not range1:
 *         range1 = (0.0, 1.0)
 *     if not range2:             # <<<<<<<<<<<<<<
 *         range2 = (0.0, 1.0)
 * 
*/
  __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_v_range2); if (unlikely((__pyx_t_6 < 0))) __PYX_ERR(0, 1321, __pyx_L1_error)
  __pyx_t_5 = (!__pyx_t_6);
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1322
 *         range1 = (0.0, 1.0)
 *     if not range2:
 *         range2 = (0.0, 1.0)             # <<<<<<<<<<<<<<
 * 
 *     # If bounds don't intersect, go home
*/
    __Pyx_INCREF(__pyx_mstate_global->__pyx_tuple[1]);
    __Pyx_DECREF_SET(__pyx_v_range2, __pyx_mstate_global->__pyx_tuple[1]);

    /* "fontTools/misc/bezierTools.py":1321
 *     if not range1:
 *         range1 = (0.0, 1.0)
 *     if not range2:             # <<<<<<<<<<<<<<
 *         range2 = (0.0, 1.0)
 * 
*/
  }

  /* "fontTools/misc/bezierTools.py":1325
 * 
 *     # If bounds don't intersect, go home
 *     intersects, _ = sectRect(bounds1, bounds2)             # <<<<<<<<<<<<<<
 *     if not intersects:
 *         return []
*/
  __pyx_t_2 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_sectRect); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1325, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    assert(__pyx_t_2);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
    __pyx_t_4 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_2, __pyx_v_bounds1, __pyx_v_bounds2};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_4, (3-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1325, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  if ((likely(PyTuple_CheckExact(__pyx_t_1))) || (PyList_CheckExact(__pyx_t_1))) {
    PyObject* sequence = __pyx_t_1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 1325, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_3 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_3);
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_2);
    } else {
      __pyx_t_3 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1325, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_3);
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1325, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
    }
    #else
    __pyx_t_3 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1325, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1325, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_7 = PyObject_GetIter(__pyx_t_1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1325, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_8 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_7);
    index = 0; __pyx_t_3 = __pyx_t_8(__pyx_t_7); if (unlikely(!__pyx_t_3)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_3);
    index = 1; __pyx_t_2 = __pyx_t_8(__pyx_t_7); if (unlikely(!__pyx_t_2)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_7), 2) < (0)) __PYX_ERR(0, 1325, __pyx_L1_error)
    __pyx_t_8 = NULL;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    goto __pyx_L6_unpacking_done;
    __pyx_L5_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __pyx_t_8 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 1325, __pyx_L1_error)
    __pyx_L6_unpacking_done:;
  }
  __pyx_v_intersects = __pyx_t_3;
  __pyx_t_3 = 0;
  __pyx_v__ = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1326
 *     # If bounds don't intersect, go home
 *     intersects, _ = sectRect(bounds1, bounds2)
 *     if not intersects:             # <<<<<<<<<<<<<<
 *         return []
 * 
*/
  __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_v_intersects); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 1326, __pyx_L1_error)
  __pyx_t_6 = (!__pyx_t_5);
  if (__pyx_t_6) {

    /* "fontTools/misc/bezierTools.py":1327
 *     intersects, _ = sectRect(bounds1, bounds2)
 *     if not intersects:
 *         return []             # <<<<<<<<<<<<<<
 * 
 *     def midpoint(r):
*/
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1327, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1326
 *     # If bounds don't intersect, go home
 *     intersects, _ = sectRect(bounds1, bounds2)
 *     if not intersects:             # <<<<<<<<<<<<<<
 *         return []
 * 
*/
  }

  /* "fontTools/misc/bezierTools.py":1329
 *         return []
 * 
 *     def midpoint(r):             # <<<<<<<<<<<<<<
 *         return 0.5 * (r[0] + r[1])
 * 
*/
  __pyx_t_1 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_1midpoint, 0, __pyx_mstate_global->__pyx_n_u_curve_curve_intersections_t_loc, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[5])); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1329, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_midpoint = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1333
 * 
 *     # If they do overlap but they're tiny, approximate
 *     if rectArea(bounds1) < precision and rectArea(bounds2) < precision:             # <<<<<<<<<<<<<<
 *         return [(midpoint(range1), midpoint(range2))]
 * 
*/
  __pyx_t_2 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_rectArea); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1333, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    assert(__pyx_t_2);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
    __pyx_t_4 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_2, __pyx_v_bounds1};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_4, (2-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1333, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_t_3 = PyObject_RichCompare(__pyx_t_1, __pyx_cur_scope->__pyx_v_precision, Py_LT); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1333, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 1333, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  if (__pyx_t_5) {
  } else {
    __pyx_t_6 = __pyx_t_5;
    goto __pyx_L9_bool_binop_done;
  }
  __pyx_t_1 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_rectArea); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1333, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_4 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_2);
    assert(__pyx_t_1);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_1);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_2, __pyx__function);
    __pyx_t_4 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_1, __pyx_v_bounds2};
    __pyx_t_3 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_2, __pyx_callargs+__pyx_t_4, (2-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1333, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
  }
  __pyx_t_2 = PyObject_RichCompare(__pyx_t_3, __pyx_cur_scope->__pyx_v_precision, Py_LT); __Pyx_XGOTREF(__pyx_t_2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1333, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_2); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 1333, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_6 = __pyx_t_5;
  __pyx_L9_bool_binop_done:;
  if (__pyx_t_6) {

    /* "fontTools/misc/bezierTools.py":1334
 *     # If they do overlap but they're tiny, approximate
 *     if rectArea(bounds1) < precision and rectArea(bounds2) < precision:
 *         return [(midpoint(range1), midpoint(range2))]             # <<<<<<<<<<<<<<
 * 
 *     c11, c12 = _split_segment_at_t(curve1, 0.5)
*/
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_2 = __pyx_pf_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_midpoint(__pyx_v_midpoint, __pyx_v_range1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1334, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_3 = __pyx_pf_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_midpoint(__pyx_v_midpoint, __pyx_v_range2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1334, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1334, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_GIVEREF(__pyx_t_2);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_t_2) != (0)) __PYX_ERR(0, 1334, __pyx_L1_error);
    __Pyx_GIVEREF(__pyx_t_3);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_t_3) != (0)) __PYX_ERR(0, 1334, __pyx_L1_error);
    __pyx_t_2 = 0;
    __pyx_t_3 = 0;
    __pyx_t_3 = PyList_New(1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1334, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_GIVEREF(__pyx_t_1);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_3, 0, __pyx_t_1) != (0)) __PYX_ERR(0, 1334, __pyx_L1_error);
    __pyx_t_1 = 0;
    __pyx_r = __pyx_t_3;
    __pyx_t_3 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1333
 * 
 *     # If they do overlap but they're tiny, approximate
 *     if rectArea(bounds1) < precision and rectArea(bounds2) < precision:             # <<<<<<<<<<<<<<
 *         return [(midpoint(range1), midpoint(range2))]
 * 
*/
  }

  /* "fontTools/misc/bezierTools.py":1336
 *         return [(midpoint(range1), midpoint(range2))]
 * 
 *     c11, c12 = _split_segment_at_t(curve1, 0.5)             # <<<<<<<<<<<<<<
 *     c11_range = (range1[0], midpoint(range1))
 *     c12_range = (midpoint(range1), range1[1])
*/
  __pyx_t_1 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_split_segment_at_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1336, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_4 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_2);
    assert(__pyx_t_1);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_1);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_2, __pyx__function);
    __pyx_t_4 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_1, __pyx_v_curve1, __pyx_mstate_global->__pyx_float_0_5};
    __pyx_t_3 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_2, __pyx_callargs+__pyx_t_4, (3-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1336, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
  }
  if ((likely(PyTuple_CheckExact(__pyx_t_3))) || (PyList_CheckExact(__pyx_t_3))) {
    PyObject* sequence = __pyx_t_3;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 1336, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_2);
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_1);
    } else {
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1336, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1336, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
    }
    #else
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1336, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1336, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_7 = PyObject_GetIter(__pyx_t_3); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1336, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_8 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_7);
    index = 0; __pyx_t_2 = __pyx_t_8(__pyx_t_7); if (unlikely(!__pyx_t_2)) goto __pyx_L11_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_8(__pyx_t_7); if (unlikely(!__pyx_t_1)) goto __pyx_L11_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_7), 2) < (0)) __PYX_ERR(0, 1336, __pyx_L1_error)
    __pyx_t_8 = NULL;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    goto __pyx_L12_unpacking_done;
    __pyx_L11_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __pyx_t_8 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 1336, __pyx_L1_error)
    __pyx_L12_unpacking_done:;
  }
  __pyx_v_c11 = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_c12 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1337
 * 
 *     c11, c12 = _split_segment_at_t(curve1, 0.5)
 *     c11_range = (range1[0], midpoint(range1))             # <<<<<<<<<<<<<<
 *     c12_range = (midpoint(range1), range1[1])
 * 
*/
  __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_range1, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1337, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_1 = __pyx_pf_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_midpoint(__pyx_v_midpoint, __pyx_v_range1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1337, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1337, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_3) != (0)) __PYX_ERR(0, 1337, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_t_1) != (0)) __PYX_ERR(0, 1337, __pyx_L1_error);
  __pyx_t_3 = 0;
  __pyx_t_1 = 0;
  __pyx_v_c11_range = ((PyObject*)__pyx_t_2);
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1338
 *     c11, c12 = _split_segment_at_t(curve1, 0.5)
 *     c11_range = (range1[0], midpoint(range1))
 *     c12_range = (midpoint(range1), range1[1])             # <<<<<<<<<<<<<<
 * 
 *     c21, c22 = _split_segment_at_t(curve2, 0.5)
*/
  __pyx_t_2 = __pyx_pf_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_midpoint(__pyx_v_midpoint, __pyx_v_range1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1338, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_range1, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1338, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1338, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_2) != (0)) __PYX_ERR(0, 1338, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_1) != (0)) __PYX_ERR(0, 1338, __pyx_L1_error);
  __pyx_t_2 = 0;
  __pyx_t_1 = 0;
  __pyx_v_c12_range = ((PyObject*)__pyx_t_3);
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1340
 *     c12_range = (midpoint(range1), range1[1])
 * 
 *     c21, c22 = _split_segment_at_t(curve2, 0.5)             # <<<<<<<<<<<<<<
 *     c21_range = (range2[0], midpoint(range2))
 *     c22_range = (midpoint(range2), range2[1])
*/
  __pyx_t_1 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_split_segment_at_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1340, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_4 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_2);
    assert(__pyx_t_1);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_1);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_2, __pyx__function);
    __pyx_t_4 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_1, __pyx_v_curve2, __pyx_mstate_global->__pyx_float_0_5};
    __pyx_t_3 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_2, __pyx_callargs+__pyx_t_4, (3-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1340, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
  }
  if ((likely(PyTuple_CheckExact(__pyx_t_3))) || (PyList_CheckExact(__pyx_t_3))) {
    PyObject* sequence = __pyx_t_3;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 1340, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0);
      __Pyx_INCREF(__pyx_t_2);
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1);
      __Pyx_INCREF(__pyx_t_1);
    } else {
      __pyx_t_2 = __Pyx_PyList_GetItemRefFast(sequence, 0, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1340, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_2);
      __pyx_t_1 = __Pyx_PyList_GetItemRefFast(sequence, 1, __Pyx_ReferenceSharing_SharedReference);
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1340, __pyx_L1_error)
      __Pyx_XGOTREF(__pyx_t_1);
    }
    #else
    __pyx_t_2 = __Pyx_PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1340, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1340, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_7 = PyObject_GetIter(__pyx_t_3); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1340, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_8 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_7);
    index = 0; __pyx_t_2 = __pyx_t_8(__pyx_t_7); if (unlikely(!__pyx_t_2)) goto __pyx_L13_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_8(__pyx_t_7); if (unlikely(!__pyx_t_1)) goto __pyx_L13_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_7), 2) < (0)) __PYX_ERR(0, 1340, __pyx_L1_error)
    __pyx_t_8 = NULL;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    goto __pyx_L14_unpacking_done;
    __pyx_L13_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __pyx_t_8 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 1340, __pyx_L1_error)
    __pyx_L14_unpacking_done:;
  }
  __pyx_v_c21 = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_c22 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1341
 * 
 *     c21, c22 = _split_segment_at_t(curve2, 0.5)
 *     c21_range = (range2[0], midpoint(range2))             # <<<<<<<<<<<<<<
 *     c22_range = (midpoint(range2), range2[1])
 * 
*/
  __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_range2, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1341, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_1 = __pyx_pf_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_midpoint(__pyx_v_midpoint, __pyx_v_range2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1341, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1341, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_3) != (0)) __PYX_ERR(0, 1341, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_t_1) != (0)) __PYX_ERR(0, 1341, __pyx_L1_error);
  __pyx_t_3 = 0;
  __pyx_t_1 = 0;
  __pyx_v_c21_range = ((PyObject*)__pyx_t_2);
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1342
 *     c21, c22 = _split_segment_at_t(curve2, 0.5)
 *     c21_range = (range2[0], midpoint(range2))
 *     c22_range = (midpoint(range2), range2[1])             # <<<<<<<<<<<<<<
 * 
 *     found = []
*/
  __pyx_t_2 = __pyx_pf_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_midpoint(__pyx_v_midpoint, __pyx_v_range2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1342, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_range2, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1342, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1342, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_2) != (0)) __PYX_ERR(0, 1342, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_1) != (0)) __PYX_ERR(0, 1342, __pyx_L1_error);
  __pyx_t_2 = 0;
  __pyx_t_1 = 0;
  __pyx_v_c22_range = ((PyObject*)__pyx_t_3);
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1344
 *     c22_range = (midpoint(range2), range2[1])
 * 
 *     found = []             # <<<<<<<<<<<<<<
 *     found.extend(
 *         _curve_curve_intersections_t(
*/
  __pyx_t_3 = PyList_New(0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1344, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_v_found = ((PyObject*)__pyx_t_3);
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1346
 *     found = []
 *     found.extend(
 *         _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *             c11, c21, precision, range1=c11_range, range2=c21_range
 *         )
*/
  __pyx_t_1 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_curve_curve_intersections_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1346, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);

  /* "fontTools/misc/bezierTools.py":1347
 *     found.extend(
 *         _curve_curve_intersections_t(
 *             c11, c21, precision, range1=c11_range, range2=c21_range             # <<<<<<<<<<<<<<
 *         )
 *     )
*/
  __pyx_t_4 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_2);
    assert(__pyx_t_1);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_1);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_2, __pyx__function);
    __pyx_t_4 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[4 + ((CYTHON_VECTORCALL) ? 2 : 0)] = {__pyx_t_1, __pyx_v_c11, __pyx_v_c21, __pyx_cur_scope->__pyx_v_precision};
    __pyx_t_7 = __Pyx_MakeVectorcallBuilderKwds(2); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1346, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_range1, __pyx_v_c11_range, __pyx_t_7, __pyx_callargs+4, 0) < (0)) __PYX_ERR(0, 1346, __pyx_L1_error)
    if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_range2, __pyx_v_c21_range, __pyx_t_7, __pyx_callargs+4, 1) < (0)) __PYX_ERR(0, 1346, __pyx_L1_error)
    __pyx_t_3 = __Pyx_Object_Vectorcall_CallFromBuilder((PyObject*)__pyx_t_2, __pyx_callargs+__pyx_t_4, (4-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET), __pyx_t_7);
    __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1346, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
  }

  /* "fontTools/misc/bezierTools.py":1345
 * 
 *     found = []
 *     found.extend(             # <<<<<<<<<<<<<<
 *         _curve_curve_intersections_t(
 *             c11, c21, precision, range1=c11_range, range2=c21_range
*/
  __pyx_t_9 = __Pyx_PyList_Extend(__pyx_v_found, __pyx_t_3); if (unlikely(__pyx_t_9 == ((int)-1))) __PYX_ERR(0, 1345, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1351
 *     )
 *     found.extend(
 *         _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *             c12, c21, precision, range1=c12_range, range2=c21_range
 *         )
*/
  __pyx_t_2 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_7, __pyx_mstate_global->__pyx_n_u_curve_curve_intersections_t); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1351, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);

  /* "fontTools/misc/bezierTools.py":1352
 *     found.extend(
 *         _curve_curve_intersections_t(
 *             c12, c21, precision, range1=c12_range, range2=c21_range             # <<<<<<<<<<<<<<
 *         )
 *     )
*/
  __pyx_t_4 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_7))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_7);
    assert(__pyx_t_2);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_7);
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_7, __pyx__function);
    __pyx_t_4 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[4 + ((CYTHON_VECTORCALL) ? 2 : 0)] = {__pyx_t_2, __pyx_v_c12, __pyx_v_c21, __pyx_cur_scope->__pyx_v_precision};
    __pyx_t_1 = __Pyx_MakeVectorcallBuilderKwds(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1351, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_range1, __pyx_v_c12_range, __pyx_t_1, __pyx_callargs+4, 0) < (0)) __PYX_ERR(0, 1351, __pyx_L1_error)
    if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_range2, __pyx_v_c21_range, __pyx_t_1, __pyx_callargs+4, 1) < (0)) __PYX_ERR(0, 1351, __pyx_L1_error)
    __pyx_t_3 = __Pyx_Object_Vectorcall_CallFromBuilder((PyObject*)__pyx_t_7, __pyx_callargs+__pyx_t_4, (4-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET), __pyx_t_1);
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1351, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
  }

  /* "fontTools/misc/bezierTools.py":1350
 *         )
 *     )
 *     found.extend(             # <<<<<<<<<<<<<<
 *         _curve_curve_intersections_t(
 *             c12, c21, precision, range1=c12_range, range2=c21_range
*/
  __pyx_t_9 = __Pyx_PyList_Extend(__pyx_v_found, __pyx_t_3); if (unlikely(__pyx_t_9 == ((int)-1))) __PYX_ERR(0, 1350, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1356
 *     )
 *     found.extend(
 *         _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *             c11, c22, precision, range1=c11_range, range2=c22_range
 *         )
*/
  __pyx_t_7 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_mstate_global->__pyx_n_u_curve_curve_intersections_t); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1356, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);

  /* "fontTools/misc/bezierTools.py":1357
 *     found.extend(
 *         _curve_curve_intersections_t(
 *             c11, c22, precision, range1=c11_range, range2=c22_range             # <<<<<<<<<<<<<<
 *         )
 *     )
*/
  __pyx_t_4 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_1))) {
    __pyx_t_7 = PyMethod_GET_SELF(__pyx_t_1);
    assert(__pyx_t_7);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_1);
    __Pyx_INCREF(__pyx_t_7);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_1, __pyx__function);
    __pyx_t_4 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[4 + ((CYTHON_VECTORCALL) ? 2 : 0)] = {__pyx_t_7, __pyx_v_c11, __pyx_v_c22, __pyx_cur_scope->__pyx_v_precision};
    __pyx_t_2 = __Pyx_MakeVectorcallBuilderKwds(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1356, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_range1, __pyx_v_c11_range, __pyx_t_2, __pyx_callargs+4, 0) < (0)) __PYX_ERR(0, 1356, __pyx_L1_error)
    if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_range2, __pyx_v_c22_range, __pyx_t_2, __pyx_callargs+4, 1) < (0)) __PYX_ERR(0, 1356, __pyx_L1_error)
    __pyx_t_3 = __Pyx_Object_Vectorcall_CallFromBuilder((PyObject*)__pyx_t_1, __pyx_callargs+__pyx_t_4, (4-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET), __pyx_t_2);
    __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1356, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
  }

  /* "fontTools/misc/bezierTools.py":1355
 *         )
 *     )
 *     found.extend(             # <<<<<<<<<<<<<<
 *         _curve_curve_intersections_t(
 *             c11, c22, precision, range1=c11_range, range2=c22_range
*/
  __pyx_t_9 = __Pyx_PyList_Extend(__pyx_v_found, __pyx_t_3); if (unlikely(__pyx_t_9 == ((int)-1))) __PYX_ERR(0, 1355, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1361
 *     )
 *     found.extend(
 *         _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *             c12, c22, precision, range1=c12_range, range2=c22_range
 *         )
*/
  __pyx_t_1 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_curve_curve_intersections_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1361, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);

  /* "fontTools/misc/bezierTools.py":1362
 *     found.extend(
 *         _curve_curve_intersections_t(
 *             c12, c22, precision, range1=c12_range, range2=c22_range             # <<<<<<<<<<<<<<
 *         )
 *     )
*/
  __pyx_t_4 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_2);
    assert(__pyx_t_1);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_1);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_2, __pyx__function);
    __pyx_t_4 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[4 + ((CYTHON_VECTORCALL) ? 2 : 0)] = {__pyx_t_1, __pyx_v_c12, __pyx_v_c22, __pyx_cur_scope->__pyx_v_precision};
    __pyx_t_7 = __Pyx_MakeVectorcallBuilderKwds(2); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1361, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_range1, __pyx_v_c12_range, __pyx_t_7, __pyx_callargs+4, 0) < (0)) __PYX_ERR(0, 1361, __pyx_L1_error)
    if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_range2, __pyx_v_c22_range, __pyx_t_7, __pyx_callargs+4, 1) < (0)) __PYX_ERR(0, 1361, __pyx_L1_error)
    __pyx_t_3 = __Pyx_Object_Vectorcall_CallFromBuilder((PyObject*)__pyx_t_2, __pyx_callargs+__pyx_t_4, (4-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET), __pyx_t_7);
    __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1361, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
  }

  /* "fontTools/misc/bezierTools.py":1360
 *         )
 *     )
 *     found.extend(             # <<<<<<<<<<<<<<
 *         _curve_curve_intersections_t(
 *             c12, c22, precision, range1=c12_range, range2=c22_range
*/
  __pyx_t_9 = __Pyx_PyList_Extend(__pyx_v_found, __pyx_t_3); if (unlikely(__pyx_t_9 == ((int)-1))) __PYX_ERR(0, 1360, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1366
 *     )
 * 
 *     unique_key = lambda ts: (int(ts[0] / precision), int(ts[1] / precision))             # <<<<<<<<<<<<<<
 *     seen = set()
 *     unique_values = []
*/
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_2lambda3, 0, __pyx_mstate_global->__pyx_n_u_curve_curve_intersections_t_loc_2, ((PyObject*)__pyx_cur_scope), __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[6])); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1366, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_v_unique_key = __pyx_t_3;
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1367
 * 
 *     unique_key = lambda ts: (int(ts[0] / precision), int(ts[1] / precision))
 *     seen = set()             # <<<<<<<<<<<<<<
 *     unique_values = []
 * 
*/
  __pyx_t_3 = PySet_New(0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1367, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_v_seen = ((PyObject*)__pyx_t_3);
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1368
 *     unique_key = lambda ts: (int(ts[0] / precision), int(ts[1] / precision))
 *     seen = set()
 *     unique_values = []             # <<<<<<<<<<<<<<
 * 
 *     for ts in found:
*/
  __pyx_t_3 = PyList_New(0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1368, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_v_unique_values = ((PyObject*)__pyx_t_3);
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1370
 *     unique_values = []
 * 
 *     for ts in found:             # <<<<<<<<<<<<<<
 *         key = unique_key(ts)
 *         if key in seen:
*/
  __pyx_t_3 = __pyx_v_found; __Pyx_INCREF(__pyx_t_3);
  __pyx_t_10 = 0;
  for (;;) {
    {
      Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_3);
      #if !CYTHON_ASSUME_SAFE_SIZE
      if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1370, __pyx_L1_error)
      #endif
      if (__pyx_t_10 >= __pyx_temp) break;
    }
    __pyx_t_2 = __Pyx_PyList_GetItemRefFast(__pyx_t_3, __pyx_t_10, __Pyx_ReferenceSharing_OwnStrongReference);
    ++__pyx_t_10;
    if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1370, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_XDECREF_SET(__pyx_v_ts, __pyx_t_2);
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":1371
 * 
 *     for ts in found:
 *         key = unique_key(ts)             # <<<<<<<<<<<<<<
 *         if key in seen:
 *             continue
*/
    __pyx_t_2 = __pyx_lambda_funcdef_lambda3(__pyx_v_unique_key, __pyx_v_ts); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1371, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_XDECREF_SET(__pyx_v_key, __pyx_t_2);
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":1372
 *     for ts in found:
 *         key = unique_key(ts)
 *         if key in seen:             # <<<<<<<<<<<<<<
 *             continue
 *         seen.add(key)
*/
    __pyx_t_6 = (__Pyx_PySet_ContainsTF(__pyx_v_key, __pyx_v_seen, Py_EQ)); if (unlikely((__pyx_t_6 < 0))) __PYX_ERR(0, 1372, __pyx_L1_error)
    if (__pyx_t_6) {

      /* "fontTools/misc/bezierTools.py":1373
 *         key = unique_key(ts)
 *         if key in seen:
 *             continue             # <<<<<<<<<<<<<<
 *         seen.add(key)
 *         unique_values.append(ts)
*/
      goto __pyx_L15_continue;

      /* "fontTools/misc/bezierTools.py":1372
 *     for ts in found:
 *         key = unique_key(ts)
 *         if key in seen:             # <<<<<<<<<<<<<<
 *             continue
 *         seen.add(key)
*/
    }

    /* "fontTools/misc/bezierTools.py":1374
 *         if key in seen:
 *             continue
 *         seen.add(key)             # <<<<<<<<<<<<<<
 *         unique_values.append(ts)
 * 
*/
    __pyx_t_9 = PySet_Add(__pyx_v_seen, __pyx_v_key); if (unlikely(__pyx_t_9 == ((int)-1))) __PYX_ERR(0, 1374, __pyx_L1_error)

    /* "fontTools/misc/bezierTools.py":1375
 *             continue
 *         seen.add(key)
 *         unique_values.append(ts)             # <<<<<<<<<<<<<<
 * 
 *     return unique_values
*/
    __pyx_t_9 = __Pyx_PyList_Append(__pyx_v_unique_values, __pyx_v_ts); if (unlikely(__pyx_t_9 == ((int)-1))) __PYX_ERR(0, 1375, __pyx_L1_error)

    /* "fontTools/misc/bezierTools.py":1370
 *     unique_values = []
 * 
 *     for ts in found:             # <<<<<<<<<<<<<<
 *         key = unique_key(ts)
 *         if key in seen:
*/
    __pyx_L15_continue:;
  }
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1377
 *         unique_values.append(ts)
 * 
 *     return unique_values             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __Pyx_INCREF(__pyx_v_unique_values);
  __pyx_r = __pyx_v_unique_values;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1313
 * 
 * 
 * def _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *     curve1, curve2, precision=1e-3, range1=None, range2=None
 * ):
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._curve_curve_intersections_t", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_bounds1);
  __Pyx_XDECREF(__pyx_v_bounds2);
  __Pyx_XDECREF(__pyx_v_intersects);
  __Pyx_XDECREF(__pyx_v__);
  __Pyx_XDECREF(__pyx_v_midpoint);
  __Pyx_XDECREF(__pyx_v_c11);
  __Pyx_XDECREF(__pyx_v_c12);
  __Pyx_XDECREF(__pyx_v_c11_range);
  __Pyx_XDECREF(__pyx_v_c12_range);
  __Pyx_XDECREF(__pyx_v_c21);
  __Pyx_XDECREF(__pyx_v_c22);
  __Pyx_XDECREF(__pyx_v_c21_range);
  __Pyx_XDECREF(__pyx_v_c22_range);
  __Pyx_XDECREF(__pyx_v_found);
  __Pyx_XDECREF(__pyx_v_unique_key);
  __Pyx_XDECREF(__pyx_v_seen);
  __Pyx_XDECREF(__pyx_v_unique_values);
  __Pyx_XDECREF(__pyx_v_ts);
  __Pyx_XDECREF(__pyx_v_key);
  __Pyx_XDECREF(__pyx_v_range1);
  __Pyx_XDECREF(__pyx_v_range2);
  __Pyx_DECREF((PyObject *)__pyx_cur_scope);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1380
 * 
 * 
 * def _is_linelike(segment):             # <<<<<<<<<<<<<<
 *     maybeline = _alignment_transformation(segment).transformPoints(segment)
 *     return all(math.isclose(p[1], 0.0) for p in maybeline)
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_87_is_linelike(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_86_is_linelike, "_is_linelike(segment)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_87_is_linelike = {"_is_linelike", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_87_is_linelike, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_86_is_linelike};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_87_is_linelike(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_segment = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[1] = {0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_is_linelike (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_segment,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 1380, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1380, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "_is_linelike", 0) < (0)) __PYX_ERR(0, 1380, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 1; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("_is_linelike", 1, 1, 1, i); __PYX_ERR(0, 1380, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 1)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1380, __pyx_L3_error)
    }
    __pyx_v_segment = values[0];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_is_linelike", 1, 1, 1, __pyx_nargs); __PYX_ERR(0, 1380, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._is_linelike", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_86_is_linelike(__pyx_self, __pyx_v_segment);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}
static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_12_is_linelike_2generator5(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value); /* proto */

/* "fontTools/misc/bezierTools.py":1382
 * def _is_linelike(segment):
 *     maybeline = _alignment_transformation(segment).transformPoints(segment)
 *     return all(math.isclose(p[1], 0.0) for p in maybeline)             # <<<<<<<<<<<<<<
 * 
 * 
*/

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_12_is_linelike_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr *__pyx_cur_scope;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("genexpr", 0);
  __pyx_cur_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr(__pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr, __pyx_mstate_global->__pyx_empty_tuple, NULL);
  if (unlikely(!__pyx_cur_scope)) {
    __pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr *)Py_None);
    __Pyx_INCREF(Py_None);
    __PYX_ERR(0, 1382, __pyx_L1_error)
  } else {
    __Pyx_GOTREF((PyObject *)__pyx_cur_scope);
  }
  __pyx_cur_scope->__pyx_genexpr_arg_0 = __pyx_genexpr_arg_0;
  __Pyx_INCREF(__pyx_cur_scope->__pyx_genexpr_arg_0);
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_genexpr_arg_0);
  {
    __pyx_CoroutineObject *gen = __Pyx_Generator_New((__pyx_coroutine_body_t) __pyx_gb_9fontTools_4misc_11bezierTools_12_is_linelike_2generator5, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[7]), (PyObject *) __pyx_cur_scope, __pyx_mstate_global->__pyx_n_u_genexpr, __pyx_mstate_global->__pyx_n_u_is_linelike_locals_genexpr, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools); if (unlikely(!gen)) __PYX_ERR(0, 1382, __pyx_L1_error)
    __Pyx_DECREF(__pyx_cur_scope);
    __Pyx_RefNannyFinishContext();
    return (PyObject *) gen;
  }

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_AddTraceback("fontTools.misc.bezierTools._is_linelike.genexpr", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __Pyx_DECREF((PyObject *)__pyx_cur_scope);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_12_is_linelike_2generator5(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value) /* generator body */
{
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr *__pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr *)__pyx_generator->closure);
  PyObject *__pyx_r = NULL;
  PyObject *__pyx_t_1 = NULL;
  Py_ssize_t __pyx_t_2;
  PyObject *(*__pyx_t_3)(PyObject *);
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  size_t __pyx_t_8;
  int __pyx_t_9;
  int __pyx_t_10;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("genexpr", 0);
  switch (__pyx_generator->resume_label) {
    case 0: goto __pyx_L3_first_run;
    default: /* CPython raises the right error here */
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __pyx_L3_first_run:;
  if (unlikely(!__pyx_sent_value)) __PYX_ERR(0, 1382, __pyx_L1_error)
  if (unlikely(!__pyx_cur_scope->__pyx_genexpr_arg_0)) { __Pyx_RaiseUnboundLocalError(".0"); __PYX_ERR(0, 1382, __pyx_L1_error) }
  if (likely(PyList_CheckExact(__pyx_cur_scope->__pyx_genexpr_arg_0)) || PyTuple_CheckExact(__pyx_cur_scope->__pyx_genexpr_arg_0)) {
    __pyx_t_1 = __pyx_cur_scope->__pyx_genexpr_arg_0; __Pyx_INCREF(__pyx_t_1);
    __pyx_t_2 = 0;
    __pyx_t_3 = NULL;
  } else {
    __pyx_t_2 = -1; __pyx_t_1 = PyObject_GetIter(__pyx_cur_scope->__pyx_genexpr_arg_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1382, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1382, __pyx_L1_error)
  }
  for (;;) {
    if (likely(!__pyx_t_3)) {
      if (likely(PyList_CheckExact(__pyx_t_1))) {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_SIZE
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1382, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        __pyx_t_4 = __Pyx_PyList_GetItemRefFast(__pyx_t_1, __pyx_t_2, __Pyx_ReferenceSharing_OwnStrongReference);
        ++__pyx_t_2;
      } else {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_SIZE
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1382, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_4 = __Pyx_NewRef(PyTuple_GET_ITEM(__pyx_t_1, __pyx_t_2));
        #else
        __pyx_t_4 = __Pyx_PySequence_ITEM(__pyx_t_1, __pyx_t_2);
        #endif
        ++__pyx_t_2;
      }
      if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1382, __pyx_L1_error)
    } else {
      __pyx_t_4 = __pyx_t_3(__pyx_t_1);
      if (unlikely(!__pyx_t_4)) {
        PyObject* exc_type = PyErr_Occurred();
        if (exc_type) {
          if (unlikely(!__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) __PYX_ERR(0, 1382, __pyx_L1_error)
          PyErr_Clear();
        }
        break;
      }
    }
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_XGOTREF(__pyx_cur_scope->__pyx_v_p);
    __Pyx_XDECREF_SET(__pyx_cur_scope->__pyx_v_p, __pyx_t_4);
    __Pyx_GIVEREF(__pyx_t_4);
    __pyx_t_4 = 0;
    __pyx_t_5 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_6, __pyx_mstate_global->__pyx_n_u_math); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1382, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_7 = __Pyx_PyObject_GetAttrStr(__pyx_t_6, __pyx_mstate_global->__pyx_n_u_isclose); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1382, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_6 = __Pyx_GetItemInt(__pyx_cur_scope->__pyx_v_p, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_SharedReference); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1382, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_8 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_7))) {
      __pyx_t_5 = PyMethod_GET_SELF(__pyx_t_7);
      assert(__pyx_t_5);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_7);
      __Pyx_INCREF(__pyx_t_5);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_7, __pyx__function);
      __pyx_t_8 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[3] = {__pyx_t_5, __pyx_t_6, __pyx_mstate_global->__pyx_float_0_0};
      __pyx_t_4 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_7, __pyx_callargs+__pyx_t_8, (3-__pyx_t_8) | (__pyx_t_8*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
      if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1382, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_4);
    }
    __pyx_t_9 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely((__pyx_t_9 < 0))) __PYX_ERR(0, 1382, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_10 = (!__pyx_t_9);
    if (__pyx_t_10) {
      __Pyx_XDECREF(__pyx_r);
      __Pyx_INCREF(Py_False);
      __pyx_r = Py_False;
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      goto __pyx_L0;
    }
  }
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  /*else*/ {
    __Pyx_XDECREF(__pyx_r);
    __Pyx_INCREF(Py_True);
    __pyx_r = Py_True;
    goto __pyx_L0;
  }
  CYTHON_MAYBE_UNUSED_VAR(__pyx_cur_scope);

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_7);
  if (__Pyx_PyErr_Occurred()) {
    __Pyx_Generator_Replace_StopIteration(0);
    __Pyx_AddTraceback("genexpr", __pyx_clineno, __pyx_lineno, __pyx_filename);
  }
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  #if !CYTHON_USE_EXC_INFO_STACK
  __Pyx_Coroutine_ResetAndClearException(__pyx_generator);
  #endif
  __pyx_generator->resume_label = -1;
  __Pyx_Coroutine_clear((PyObject*)__pyx_generator);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1380
 * 
 * 
 * def _is_linelike(segment):             # <<<<<<<<<<<<<<
 *     maybeline = _alignment_transformation(segment).transformPoints(segment)
 *     return all(math.isclose(p[1], 0.0) for p in maybeline)
*/

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_86_is_linelike(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_segment) {
  PyObject *__pyx_v_maybeline = NULL;
  PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_12_is_linelike_2generator5 = 0;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  size_t __pyx_t_6;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_is_linelike", 0);

  /* "fontTools/misc/bezierTools.py":1381
 * 
 * def _is_linelike(segment):
 *     maybeline = _alignment_transformation(segment).transformPoints(segment)             # <<<<<<<<<<<<<<
 *     return all(math.isclose(p[1], 0.0) for p in maybeline)
 * 
*/
  __pyx_t_4 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_5, __pyx_mstate_global->__pyx_n_u_alignment_transformation); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1381, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_6 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_5))) {
    __pyx_t_4 = PyMethod_GET_SELF(__pyx_t_5);
    assert(__pyx_t_4);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_5);
    __Pyx_INCREF(__pyx_t_4);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_5, __pyx__function);
    __pyx_t_6 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_4, __pyx_v_segment};
    __pyx_t_3 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_5, __pyx_callargs+__pyx_t_6, (2-__pyx_t_6) | (__pyx_t_6*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1381, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
  }
  __pyx_t_2 = __pyx_t_3;
  __Pyx_INCREF(__pyx_t_2);
  __pyx_t_6 = 0;
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_2, __pyx_v_segment};
    __pyx_t_1 = __Pyx_PyObject_FastCallMethod((PyObject*)__pyx_mstate_global->__pyx_n_u_transformPoints, __pyx_callargs+__pyx_t_6, (2-__pyx_t_6) | (1*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1381, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_v_maybeline = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1382
 * def _is_linelike(segment):
 *     maybeline = _alignment_transformation(segment).transformPoints(segment)
 *     return all(math.isclose(p[1], 0.0) for p in maybeline)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = __pyx_pf_9fontTools_4misc_11bezierTools_12_is_linelike_genexpr(NULL, __pyx_v_maybeline); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1382, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = __Pyx_Generator_GetInlinedResult(__pyx_t_1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1382, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_r = __pyx_t_3;
  __pyx_t_3 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1380
 * 
 * 
 * def _is_linelike(segment):             # <<<<<<<<<<<<<<
 *     maybeline = _alignment_transformation(segment).transformPoints(segment)
 *     return all(math.isclose(p[1], 0.0) for p in maybeline)
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._is_linelike", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_maybeline);
  __Pyx_XDECREF(__pyx_gb_9fontTools_4misc_11bezierTools_12_is_linelike_2generator5);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1385
 * 
 * 
 * def curveCurveIntersections(curve1, curve2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between a curve and a curve.
 * 
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_89curveCurveIntersections(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_88curveCurveIntersections, "curveCurveIntersections(curve1, curve2)\n\nFinds intersections between a curve and a curve.\n\nArgs:\n    curve1: List of coordinates of the first curve segment as 2D tuples.\n    curve2: List of coordinates of the second curve segment as 2D tuples.\n\nReturns:\n    A list of ``Intersection`` objects, each object having ``pt``, ``t1``\n    and ``t2`` attributes containing the intersection point, time on first\n    segment and time on second segment respectively.\n\nExamples::\n    >>> curve1 = [ (10,100), (90,30), (40,140), (220,220) ]\n    >>> curve2 = [ (5,150), (180,20), (80,250), (210,190) ]\n    >>> intersections = curveCurveIntersections(curve1, curve2)\n    >>> len(intersections)\n    3\n    >>> intersections[0].pt\n    (81.7831487395506, 109.88904552375288)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_89curveCurveIntersections = {"curveCurveIntersections", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_89curveCurveIntersections, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_88curveCurveIntersections};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_89curveCurveIntersections(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_curve1 = 0;
  PyObject *__pyx_v_curve2 = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[2] = {0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("curveCurveIntersections (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_curve1,&__pyx_mstate_global->__pyx_n_u_curve2,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 1385, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1385, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1385, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "curveCurveIntersections", 0) < (0)) __PYX_ERR(0, 1385, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 2; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("curveCurveIntersections", 1, 2, 2, i); __PYX_ERR(0, 1385, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 2)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1385, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1385, __pyx_L3_error)
    }
    __pyx_v_curve1 = values[0];
    __pyx_v_curve2 = values[1];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("curveCurveIntersections", 1, 2, 2, __pyx_nargs); __PYX_ERR(0, 1385, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.curveCurveIntersections", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_88curveCurveIntersections(__pyx_self, __pyx_v_curve1, __pyx_v_curve2);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_88curveCurveIntersections(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_curve1, PyObject *__pyx_v_curve2) {
  PyObject *__pyx_v_line1 = NULL;
  PyObject *__pyx_v_line2 = NULL;
  PyObject *__pyx_v_hits = NULL;
  PyObject *__pyx_v_intersection_ts = NULL;
  PyObject *__pyx_8genexpr8__pyx_v_x = NULL;
  PyObject *__pyx_8genexpr9__pyx_v_ts = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  size_t __pyx_t_4;
  int __pyx_t_5;
  Py_ssize_t __pyx_t_6;
  PyObject *(*__pyx_t_7)(PyObject *);
  PyObject *__pyx_t_8 = NULL;
  PyObject *__pyx_t_9 = NULL;
  PyObject *__pyx_t_10 = NULL;
  PyObject *__pyx_t_11 = NULL;
  PyObject *__pyx_t_12 = NULL;
  PyObject *__pyx_t_13 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("curveCurveIntersections", 0);

  /* "fontTools/misc/bezierTools.py":1406
 *         (81.7831487395506, 109.88904552375288)
 *     """
 *     if _is_linelike(curve1):             # <<<<<<<<<<<<<<
 *         line1 = curve1[0], curve1[-1]
 *         if _is_linelike(curve2):
*/
  __pyx_t_2 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_is_linelike); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1406, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    assert(__pyx_t_2);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
    __pyx_t_4 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_2, __pyx_v_curve1};
    __pyx_t_1 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_4, (2-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1406, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
  }
  __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 1406, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1407
 *     """
 *     if _is_linelike(curve1):
 *         line1 = curve1[0], curve1[-1]             # <<<<<<<<<<<<<<
 *         if _is_linelike(curve2):
 *             line2 = curve2[0], curve2[-1]
*/
    __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_curve1, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1407, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_curve1, -1L, long, 1, __Pyx_PyLong_From_long, 0, 1, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1407, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1407, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_GIVEREF(__pyx_t_1);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_1) != (0)) __PYX_ERR(0, 1407, __pyx_L1_error);
    __Pyx_GIVEREF(__pyx_t_3);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_t_3) != (0)) __PYX_ERR(0, 1407, __pyx_L1_error);
    __pyx_t_1 = 0;
    __pyx_t_3 = 0;
    __pyx_v_line1 = ((PyObject*)__pyx_t_2);
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":1408
 *     if _is_linelike(curve1):
 *         line1 = curve1[0], curve1[-1]
 *         if _is_linelike(curve2):             # <<<<<<<<<<<<<<
 *             line2 = curve2[0], curve2[-1]
 *             return lineLineIntersections(*line1, *line2)
*/
    __pyx_t_3 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_mstate_global->__pyx_n_u_is_linelike); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1408, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_4 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_1))) {
      __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_1);
      assert(__pyx_t_3);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_1);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_1, __pyx__function);
      __pyx_t_4 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_3, __pyx_v_curve2};
      __pyx_t_2 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_1, __pyx_callargs+__pyx_t_4, (2-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1408, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
    }
    __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_2); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 1408, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (__pyx_t_5) {

      /* "fontTools/misc/bezierTools.py":1409
 *         line1 = curve1[0], curve1[-1]
 *         if _is_linelike(curve2):
 *             line2 = curve2[0], curve2[-1]             # <<<<<<<<<<<<<<
 *             return lineLineIntersections(*line1, *line2)
 *         else:
*/
      __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_curve2, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1409, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_curve2, -1L, long, 1, __Pyx_PyLong_From_long, 0, 1, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1409, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1409, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_GIVEREF(__pyx_t_2);
      if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_2) != (0)) __PYX_ERR(0, 1409, __pyx_L1_error);
      __Pyx_GIVEREF(__pyx_t_1);
      if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_1) != (0)) __PYX_ERR(0, 1409, __pyx_L1_error);
      __pyx_t_2 = 0;
      __pyx_t_1 = 0;
      __pyx_v_line2 = ((PyObject*)__pyx_t_3);
      __pyx_t_3 = 0;

      /* "fontTools/misc/bezierTools.py":1410
 *         if _is_linelike(curve2):
 *             line2 = curve2[0], curve2[-1]
 *             return lineLineIntersections(*line1, *line2)             # <<<<<<<<<<<<<<
 *         else:
 *             hits = curveLineIntersections(curve2, line1)
*/
      __Pyx_XDECREF(__pyx_r);
      __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_lineLineIntersections); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1410, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_1 = PyNumber_Add(__pyx_v_line1, __pyx_v_line2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1410, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_1, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1410, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      __pyx_r = __pyx_t_2;
      __pyx_t_2 = 0;
      goto __pyx_L0;

      /* "fontTools/misc/bezierTools.py":1408
 *     if _is_linelike(curve1):
 *         line1 = curve1[0], curve1[-1]
 *         if _is_linelike(curve2):             # <<<<<<<<<<<<<<
 *             line2 = curve2[0], curve2[-1]
 *             return lineLineIntersections(*line1, *line2)
*/
    }

    /* "fontTools/misc/bezierTools.py":1412
 *             return lineLineIntersections(*line1, *line2)
 *         else:
 *             hits = curveLineIntersections(curve2, line1)             # <<<<<<<<<<<<<<
 *             # curve is passed first to this fn but is the second segment, so
 *             # we need to swap t1/t2 in the result
*/
    /*else*/ {
      __pyx_t_1 = NULL;
      __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_mstate_global->__pyx_n_u_curveLineIntersections); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1412, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_4 = 1;
      #if CYTHON_UNPACK_METHODS
      if (unlikely(PyMethod_Check(__pyx_t_3))) {
        __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_3);
        assert(__pyx_t_1);
        PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_3);
        __Pyx_INCREF(__pyx_t_1);
        __Pyx_INCREF(__pyx__function);
        __Pyx_DECREF_SET(__pyx_t_3, __pyx__function);
        __pyx_t_4 = 0;
      }
      #endif
      {
        PyObject *__pyx_callargs[3] = {__pyx_t_1, __pyx_v_curve2, __pyx_v_line1};
        __pyx_t_2 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_3, __pyx_callargs+__pyx_t_4, (3-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
        __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
        __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
        if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1412, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_2);
      }
      __pyx_v_hits = __pyx_t_2;
      __pyx_t_2 = 0;

      /* "fontTools/misc/bezierTools.py":1415
 *             # curve is passed first to this fn but is the second segment, so
 *             # we need to swap t1/t2 in the result
 *             return [Intersection(pt=x.pt, t1=x.t2, t2=x.t1) for x in hits]             # <<<<<<<<<<<<<<
 *     elif _is_linelike(curve2):
 *         line2 = curve2[0], curve2[-1]
*/
      __Pyx_XDECREF(__pyx_r);
      { /* enter inner scope */
        __pyx_t_2 = PyList_New(0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1415, __pyx_L7_error)
        __Pyx_GOTREF(__pyx_t_2);
        if (likely(PyList_CheckExact(__pyx_v_hits)) || PyTuple_CheckExact(__pyx_v_hits)) {
          __pyx_t_3 = __pyx_v_hits; __Pyx_INCREF(__pyx_t_3);
          __pyx_t_6 = 0;
          __pyx_t_7 = NULL;
        } else {
          __pyx_t_6 = -1; __pyx_t_3 = PyObject_GetIter(__pyx_v_hits); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1415, __pyx_L7_error)
          __Pyx_GOTREF(__pyx_t_3);
          __pyx_t_7 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_3); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1415, __pyx_L7_error)
        }
        for (;;) {
          if (likely(!__pyx_t_7)) {
            if (likely(PyList_CheckExact(__pyx_t_3))) {
              {
                Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_3);
                #if !CYTHON_ASSUME_SAFE_SIZE
                if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1415, __pyx_L7_error)
                #endif
                if (__pyx_t_6 >= __pyx_temp) break;
              }
              __pyx_t_1 = __Pyx_PyList_GetItemRefFast(__pyx_t_3, __pyx_t_6, __Pyx_ReferenceSharing_OwnStrongReference);
              ++__pyx_t_6;
            } else {
              {
                Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_3);
                #if !CYTHON_ASSUME_SAFE_SIZE
                if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1415, __pyx_L7_error)
                #endif
                if (__pyx_t_6 >= __pyx_temp) break;
              }
              #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
              __pyx_t_1 = __Pyx_NewRef(PyTuple_GET_ITEM(__pyx_t_3, __pyx_t_6));
              #else
              __pyx_t_1 = __Pyx_PySequence_ITEM(__pyx_t_3, __pyx_t_6);
              #endif
              ++__pyx_t_6;
            }
            if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1415, __pyx_L7_error)
          } else {
            __pyx_t_1 = __pyx_t_7(__pyx_t_3);
            if (unlikely(!__pyx_t_1)) {
              PyObject* exc_type = PyErr_Occurred();
              if (exc_type) {
                if (unlikely(!__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) __PYX_ERR(0, 1415, __pyx_L7_error)
                PyErr_Clear();
              }
              break;
            }
          }
          __Pyx_GOTREF(__pyx_t_1);
          __Pyx_XDECREF_SET(__pyx_8genexpr8__pyx_v_x, __pyx_t_1);
          __pyx_t_1 = 0;
          __pyx_t_8 = NULL;
          __Pyx_GetModuleGlobalName(__pyx_t_9, __pyx_mstate_global->__pyx_n_u_Intersection); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1415, __pyx_L7_error)
          __Pyx_GOTREF(__pyx_t_9);
          __pyx_t_10 = __Pyx_PyObject_GetAttrStr(__pyx_8genexpr8__pyx_v_x, __pyx_mstate_global->__pyx_n_u_pt); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1415, __pyx_L7_error)
          __Pyx_GOTREF(__pyx_t_10);
          __pyx_t_11 = __Pyx_PyObject_GetAttrStr(__pyx_8genexpr8__pyx_v_x, __pyx_mstate_global->__pyx_n_u_t2); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1415, __pyx_L7_error)
          __Pyx_GOTREF(__pyx_t_11);
          __pyx_t_12 = __Pyx_PyObject_GetAttrStr(__pyx_8genexpr8__pyx_v_x, __pyx_mstate_global->__pyx_n_u_t1); if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 1415, __pyx_L7_error)
          __Pyx_GOTREF(__pyx_t_12);
          __pyx_t_4 = 1;
          #if CYTHON_UNPACK_METHODS
          if (unlikely(PyMethod_Check(__pyx_t_9))) {
            __pyx_t_8 = PyMethod_GET_SELF(__pyx_t_9);
            assert(__pyx_t_8);
            PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_9);
            __Pyx_INCREF(__pyx_t_8);
            __Pyx_INCREF(__pyx__function);
            __Pyx_DECREF_SET(__pyx_t_9, __pyx__function);
            __pyx_t_4 = 0;
          }
          #endif
          {
            PyObject *__pyx_callargs[2 + ((CYTHON_VECTORCALL) ? 3 : 0)] = {__pyx_t_8, NULL};
            __pyx_t_13 = __Pyx_MakeVectorcallBuilderKwds(3); if (unlikely(!__pyx_t_13)) __PYX_ERR(0, 1415, __pyx_L7_error)
            __Pyx_GOTREF(__pyx_t_13);
            if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_pt, __pyx_t_10, __pyx_t_13, __pyx_callargs+1, 0) < (0)) __PYX_ERR(0, 1415, __pyx_L7_error)
            if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_t1, __pyx_t_11, __pyx_t_13, __pyx_callargs+1, 1) < (0)) __PYX_ERR(0, 1415, __pyx_L7_error)
            if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_t2, __pyx_t_12, __pyx_t_13, __pyx_callargs+1, 2) < (0)) __PYX_ERR(0, 1415, __pyx_L7_error)
            __pyx_t_1 = __Pyx_Object_Vectorcall_CallFromBuilder((PyObject*)__pyx_t_9, __pyx_callargs+__pyx_t_4, (1-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET), __pyx_t_13);
            __Pyx_XDECREF(__pyx_t_8); __pyx_t_8 = 0;
            __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
            __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
            __Pyx_DECREF(__pyx_t_12); __pyx_t_12 = 0;
            __Pyx_DECREF(__pyx_t_13); __pyx_t_13 = 0;
            __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
            if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1415, __pyx_L7_error)
            __Pyx_GOTREF(__pyx_t_1);
          }
          if (unlikely(__Pyx_ListComp_Append(__pyx_t_2, (PyObject*)__pyx_t_1))) __PYX_ERR(0, 1415, __pyx_L7_error)
          __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
        }
        __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
        __Pyx_XDECREF(__pyx_8genexpr8__pyx_v_x); __pyx_8genexpr8__pyx_v_x = 0;
        goto __pyx_L11_exit_scope;
        __pyx_L7_error:;
        __Pyx_XDECREF(__pyx_8genexpr8__pyx_v_x); __pyx_8genexpr8__pyx_v_x = 0;
        goto __pyx_L1_error;
        __pyx_L11_exit_scope:;
      } /* exit inner scope */
      __pyx_r = __pyx_t_2;
      __pyx_t_2 = 0;
      goto __pyx_L0;
    }

    /* "fontTools/misc/bezierTools.py":1406
 *         (81.7831487395506, 109.88904552375288)
 *     """
 *     if _is_linelike(curve1):             # <<<<<<<<<<<<<<
 *         line1 = curve1[0], curve1[-1]
 *         if _is_linelike(curve2):
*/
  }

  /* "fontTools/misc/bezierTools.py":1416
 *             # we need to swap t1/t2 in the result
 *             return [Intersection(pt=x.pt, t1=x.t2, t2=x.t1) for x in hits]
 *     elif _is_linelike(curve2):             # <<<<<<<<<<<<<<
 *         line2 = curve2[0], curve2[-1]
 *         return curveLineIntersections(curve1, line2)
*/
  __pyx_t_3 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_mstate_global->__pyx_n_u_is_linelike); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1416, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_4 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_1))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_1);
    assert(__pyx_t_3);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_1);
    __Pyx_INCREF(__pyx_t_3);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_1, __pyx__function);
    __pyx_t_4 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_3, __pyx_v_curve2};
    __pyx_t_2 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_1, __pyx_callargs+__pyx_t_4, (2-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1416, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
  }
  __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_2); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 1416, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1417
 *             return [Intersection(pt=x.pt, t1=x.t2, t2=x.t1) for x in hits]
 *     elif _is_linelike(curve2):
 *         line2 = curve2[0], curve2[-1]             # <<<<<<<<<<<<<<
 *         return curveLineIntersections(curve1, line2)
 * 
*/
    __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_curve2, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1417, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_curve2, -1L, long, 1, __Pyx_PyLong_From_long, 0, 1, 1, 1, __Pyx_ReferenceSharing_FunctionArgument); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1417, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1417, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_GIVEREF(__pyx_t_2);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_2) != (0)) __PYX_ERR(0, 1417, __pyx_L1_error);
    __Pyx_GIVEREF(__pyx_t_1);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_1) != (0)) __PYX_ERR(0, 1417, __pyx_L1_error);
    __pyx_t_2 = 0;
    __pyx_t_1 = 0;
    __pyx_v_line2 = ((PyObject*)__pyx_t_3);
    __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":1418
 *     elif _is_linelike(curve2):
 *         line2 = curve2[0], curve2[-1]
 *         return curveLineIntersections(curve1, line2)             # <<<<<<<<<<<<<<
 * 
 *     intersection_ts = _curve_curve_intersections_t(curve1, curve2)
*/
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_1 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_curveLineIntersections); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1418, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_4 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_2))) {
      __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_2);
      assert(__pyx_t_1);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_1);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_2, __pyx__function);
      __pyx_t_4 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[3] = {__pyx_t_1, __pyx_v_curve1, __pyx_v_line2};
      __pyx_t_3 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_2, __pyx_callargs+__pyx_t_4, (3-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1418, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
    }
    __pyx_r = __pyx_t_3;
    __pyx_t_3 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1416
 *             # we need to swap t1/t2 in the result
 *             return [Intersection(pt=x.pt, t1=x.t2, t2=x.t1) for x in hits]
 *     elif _is_linelike(curve2):             # <<<<<<<<<<<<<<
 *         line2 = curve2[0], curve2[-1]
 *         return curveLineIntersections(curve1, line2)
*/
  }

  /* "fontTools/misc/bezierTools.py":1420
 *         return curveLineIntersections(curve1, line2)
 * 
 *     intersection_ts = _curve_curve_intersections_t(curve1, curve2)             # <<<<<<<<<<<<<<
 *     return [
 *         Intersection(pt=segmentPointAtT(curve1, ts[0]), t1=ts[0], t2=ts[1])
*/
  __pyx_t_2 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_mstate_global->__pyx_n_u_curve_curve_intersections_t); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1420, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_4 = 1;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_1))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_1);
    assert(__pyx_t_2);
    PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_1);
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx__function);
    __Pyx_DECREF_SET(__pyx_t_1, __pyx__function);
    __pyx_t_4 = 0;
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_2, __pyx_v_curve1, __pyx_v_curve2};
    __pyx_t_3 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_1, __pyx_callargs+__pyx_t_4, (3-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1420, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
  }
  __pyx_v_intersection_ts = __pyx_t_3;
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1421
 * 
 *     intersection_ts = _curve_curve_intersections_t(curve1, curve2)
 *     return [             # <<<<<<<<<<<<<<
 *         Intersection(pt=segmentPointAtT(curve1, ts[0]), t1=ts[0], t2=ts[1])
 *         for ts in intersection_ts
*/
  __Pyx_XDECREF(__pyx_r);
  { /* enter inner scope */
    __pyx_t_3 = PyList_New(0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1421, __pyx_L14_error)
    __Pyx_GOTREF(__pyx_t_3);

    /* "fontTools/misc/bezierTools.py":1423
 *     return [
 *         Intersection(pt=segmentPointAtT(curve1, ts[0]), t1=ts[0], t2=ts[1])
 *         for ts in intersection_ts             # <<<<<<<<<<<<<<
 *     ]
 * 
*/
    if (likely(PyList_CheckExact(__pyx_v_intersection_ts)) || PyTuple_CheckExact(__pyx_v_intersection_ts)) {
      __pyx_t_1 = __pyx_v_intersection_ts; __Pyx_INCREF(__pyx_t_1);
      __pyx_t_6 = 0;
      __pyx_t_7 = NULL;
    } else {
      __pyx_t_6 = -1; __pyx_t_1 = PyObject_GetIter(__pyx_v_intersection_ts); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1423, __pyx_L14_error)
      __Pyx_GOTREF(__pyx_t_1);
      __pyx_t_7 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1423, __pyx_L14_error)
    }
    for (;;) {
      if (likely(!__pyx_t_7)) {
        if (likely(PyList_CheckExact(__pyx_t_1))) {
          {
            Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_1);
            #if !CYTHON_ASSUME_SAFE_SIZE
            if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1423, __pyx_L14_error)
            #endif
            if (__pyx_t_6 >= __pyx_temp) break;
          }
          __pyx_t_2 = __Pyx_PyList_GetItemRefFast(__pyx_t_1, __pyx_t_6, __Pyx_ReferenceSharing_OwnStrongReference);
          ++__pyx_t_6;
        } else {
          {
            Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_1);
            #if !CYTHON_ASSUME_SAFE_SIZE
            if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1423, __pyx_L14_error)
            #endif
            if (__pyx_t_6 >= __pyx_temp) break;
          }
          #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
          __pyx_t_2 = __Pyx_NewRef(PyTuple_GET_ITEM(__pyx_t_1, __pyx_t_6));
          #else
          __pyx_t_2 = __Pyx_PySequence_ITEM(__pyx_t_1, __pyx_t_6);
          #endif
          ++__pyx_t_6;
        }
        if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1423, __pyx_L14_error)
      } else {
        __pyx_t_2 = __pyx_t_7(__pyx_t_1);
        if (unlikely(!__pyx_t_2)) {
          PyObject* exc_type = PyErr_Occurred();
          if (exc_type) {
            if (unlikely(!__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) __PYX_ERR(0, 1423, __pyx_L14_error)
            PyErr_Clear();
          }
          break;
        }
      }
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_XDECREF_SET(__pyx_8genexpr9__pyx_v_ts, __pyx_t_2);
      __pyx_t_2 = 0;

      /* "fontTools/misc/bezierTools.py":1422
 *     intersection_ts = _curve_curve_intersections_t(curve1, curve2)
 *     return [
 *         Intersection(pt=segmentPointAtT(curve1, ts[0]), t1=ts[0], t2=ts[1])             # <<<<<<<<<<<<<<
 *         for ts in intersection_ts
 *     ]
*/
      __pyx_t_9 = NULL;
      __Pyx_GetModuleGlobalName(__pyx_t_13, __pyx_mstate_global->__pyx_n_u_Intersection); if (unlikely(!__pyx_t_13)) __PYX_ERR(0, 1422, __pyx_L14_error)
      __Pyx_GOTREF(__pyx_t_13);
      __pyx_t_11 = NULL;
      __Pyx_GetModuleGlobalName(__pyx_t_10, __pyx_mstate_global->__pyx_n_u_segmentPointAtT); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1422, __pyx_L14_error)
      __Pyx_GOTREF(__pyx_t_10);
      __pyx_t_8 = __Pyx_GetItemInt(__pyx_8genexpr9__pyx_v_ts, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_SharedReference); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1422, __pyx_L14_error)
      __Pyx_GOTREF(__pyx_t_8);
      __pyx_t_4 = 1;
      #if CYTHON_UNPACK_METHODS
      if (unlikely(PyMethod_Check(__pyx_t_10))) {
        __pyx_t_11 = PyMethod_GET_SELF(__pyx_t_10);
        assert(__pyx_t_11);
        PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_10);
        __Pyx_INCREF(__pyx_t_11);
        __Pyx_INCREF(__pyx__function);
        __Pyx_DECREF_SET(__pyx_t_10, __pyx__function);
        __pyx_t_4 = 0;
      }
      #endif
      {
        PyObject *__pyx_callargs[3] = {__pyx_t_11, __pyx_v_curve1, __pyx_t_8};
        __pyx_t_12 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_10, __pyx_callargs+__pyx_t_4, (3-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
        __Pyx_XDECREF(__pyx_t_11); __pyx_t_11 = 0;
        __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
        __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
        if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 1422, __pyx_L14_error)
        __Pyx_GOTREF(__pyx_t_12);
      }
      __pyx_t_10 = __Pyx_GetItemInt(__pyx_8genexpr9__pyx_v_ts, 0, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_SharedReference); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1422, __pyx_L14_error)
      __Pyx_GOTREF(__pyx_t_10);
      __pyx_t_8 = __Pyx_GetItemInt(__pyx_8genexpr9__pyx_v_ts, 1, long, 1, __Pyx_PyLong_From_long, 0, 0, 1, 1, __Pyx_ReferenceSharing_SharedReference); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1422, __pyx_L14_error)
      __Pyx_GOTREF(__pyx_t_8);
      __pyx_t_4 = 1;
      #if CYTHON_UNPACK_METHODS
      if (unlikely(PyMethod_Check(__pyx_t_13))) {
        __pyx_t_9 = PyMethod_GET_SELF(__pyx_t_13);
        assert(__pyx_t_9);
        PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_13);
        __Pyx_INCREF(__pyx_t_9);
        __Pyx_INCREF(__pyx__function);
        __Pyx_DECREF_SET(__pyx_t_13, __pyx__function);
        __pyx_t_4 = 0;
      }
      #endif
      {
        PyObject *__pyx_callargs[2 + ((CYTHON_VECTORCALL) ? 3 : 0)] = {__pyx_t_9, NULL};
        __pyx_t_11 = __Pyx_MakeVectorcallBuilderKwds(3); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1422, __pyx_L14_error)
        __Pyx_GOTREF(__pyx_t_11);
        if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_pt, __pyx_t_12, __pyx_t_11, __pyx_callargs+1, 0) < (0)) __PYX_ERR(0, 1422, __pyx_L14_error)
        if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_t1, __pyx_t_10, __pyx_t_11, __pyx_callargs+1, 1) < (0)) __PYX_ERR(0, 1422, __pyx_L14_error)
        if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_t2, __pyx_t_8, __pyx_t_11, __pyx_callargs+1, 2) < (0)) __PYX_ERR(0, 1422, __pyx_L14_error)
        __pyx_t_2 = __Pyx_Object_Vectorcall_CallFromBuilder((PyObject*)__pyx_t_13, __pyx_callargs+__pyx_t_4, (1-__pyx_t_4) | (__pyx_t_4*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET), __pyx_t_11);
        __Pyx_XDECREF(__pyx_t_9); __pyx_t_9 = 0;
        __Pyx_DECREF(__pyx_t_12); __pyx_t_12 = 0;
        __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
        __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
        __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
        __Pyx_DECREF(__pyx_t_13); __pyx_t_13 = 0;
        if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1422, __pyx_L14_error)
        __Pyx_GOTREF(__pyx_t_2);
      }
      if (unlikely(__Pyx_ListComp_Append(__pyx_t_3, (PyObject*)__pyx_t_2))) __PYX_ERR(0, 1421, __pyx_L14_error)
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

      /* "fontTools/misc/bezierTools.py":1423
 *     return [
 *         Intersection(pt=segmentPointAtT(curve1, ts[0]), t1=ts[0], t2=ts[1])
 *         for ts in intersection_ts             # <<<<<<<<<<<<<<
 *     ]
 * 
*/
    }
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_XDECREF(__pyx_8genexpr9__pyx_v_ts); __pyx_8genexpr9__pyx_v_ts = 0;
    goto __pyx_L18_exit_scope;
    __pyx_L14_error:;
    __Pyx_XDECREF(__pyx_8genexpr9__pyx_v_ts); __pyx_8genexpr9__pyx_v_ts = 0;
    goto __pyx_L1_error;
    __pyx_L18_exit_scope:;
  } /* exit inner scope */
  __pyx_r = __pyx_t_3;
  __pyx_t_3 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1385
 * 
 * 
 * def curveCurveIntersections(curve1, curve2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between a curve and a curve.
 * 
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_XDECREF(__pyx_t_9);
  __Pyx_XDECREF(__pyx_t_10);
  __Pyx_XDECREF(__pyx_t_11);
  __Pyx_XDECREF(__pyx_t_12);
  __Pyx_XDECREF(__pyx_t_13);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.curveCurveIntersections", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_line1);
  __Pyx_XDECREF(__pyx_v_line2);
  __Pyx_XDECREF(__pyx_v_hits);
  __Pyx_XDECREF(__pyx_v_intersection_ts);
  __Pyx_XDECREF(__pyx_8genexpr8__pyx_v_x);
  __Pyx_XDECREF(__pyx_8genexpr9__pyx_v_ts);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1427
 * 
 * 
 * def segmentSegmentIntersections(seg1, seg2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between two segments.
 * 
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_91segmentSegmentIntersections(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_90segmentSegmentIntersections, "segmentSegmentIntersections(seg1, seg2)\n\nFinds intersections between two segments.\n\nArgs:\n    seg1: List of coordinates of the first segment as 2D tuples.\n    seg2: List of coordinates of the second segment as 2D tuples.\n\nReturns:\n    A list of ``Intersection`` objects, each object having ``pt``, ``t1``\n    and ``t2`` attributes containing the intersection point, time on first\n    segment and time on second segment respectively.\n\nExamples::\n    >>> curve1 = [ (10,100), (90,30), (40,140), (220,220) ]\n    >>> curve2 = [ (5,150), (180,20), (80,250), (210,190) ]\n    >>> intersections = segmentSegmentIntersections(curve1, curve2)\n    >>> len(intersections)\n    3\n    >>> intersections[0].pt\n    (81.7831487395506, 109.88904552375288)\n    >>> curve3 = [ (100, 240), (30, 60), (210, 230), (160, 30) ]\n    >>> line  = [ (25, 260), (230, 20) ]\n    >>> intersections = segmentSegmentIntersections(curve3, line)\n    >>> len(intersections)\n    3\n    >>> intersections[0].pt\n    (84.9000930760723, 189.87306176459828)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_91segmentSegmentIntersections = {"segmentSegmentIntersections", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_91segmentSegmentIntersections, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_90segmentSegmentIntersections};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_91segmentSegmentIntersections(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_seg1 = 0;
  PyObject *__pyx_v_seg2 = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[2] = {0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("segmentSegmentIntersections (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_seg1,&__pyx_mstate_global->__pyx_n_u_seg2,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 1427, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  2:
        values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1427, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1427, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "segmentSegmentIntersections", 0) < (0)) __PYX_ERR(0, 1427, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 2; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("segmentSegmentIntersections", 1, 2, 2, i); __PYX_ERR(0, 1427, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 2)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1427, __pyx_L3_error)
      values[1] = __Pyx_ArgRef_FASTCALL(__pyx_args, 1);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[1])) __PYX_ERR(0, 1427, __pyx_L3_error)
    }
    __pyx_v_seg1 = values[0];
    __pyx_v_seg2 = values[1];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("segmentSegmentIntersections", 1, 2, 2, __pyx_nargs); __PYX_ERR(0, 1427, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.segmentSegmentIntersections", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_90segmentSegmentIntersections(__pyx_self, __pyx_v_seg1, __pyx_v_seg2);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_90segmentSegmentIntersections(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_seg1, PyObject *__pyx_v_seg2) {
  int __pyx_v_swapped;
  PyObject *__pyx_v_intersections = NULL;
  PyObject *__pyx_9genexpr10__pyx_v_i = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  Py_ssize_t __pyx_t_1;
  Py_ssize_t __pyx_t_2;
  int __pyx_t_3;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  PyObject *__pyx_t_8 = NULL;
  size_t __pyx_t_9;
  int __pyx_t_10;
  PyObject *__pyx_t_11 = NULL;
  PyObject *(*__pyx_t_12)(PyObject *);
  PyObject *__pyx_t_13 = NULL;
  PyObject *__pyx_t_14 = NULL;
  PyObject *__pyx_t_15 = NULL;
  PyObject *__pyx_t_16 = NULL;
  PyObject *__pyx_t_17 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("segmentSegmentIntersections", 0);
  __Pyx_INCREF(__pyx_v_seg1);
  __Pyx_INCREF(__pyx_v_seg2);

  /* "fontTools/misc/bezierTools.py":1457
 *     """
 *     # Arrange by degree
 *     swapped = False             # <<<<<<<<<<<<<<
 *     if len(seg2) > len(seg1):
 *         seg2, seg1 = seg1, seg2
*/
  __pyx_v_swapped = 0;

  /* "fontTools/misc/bezierTools.py":1458
 *     # Arrange by degree
 *     swapped = False
 *     if len(seg2) > len(seg1):             # <<<<<<<<<<<<<<
 *         seg2, seg1 = seg1, seg2
 *         swapped = True
*/
  __pyx_t_1 = PyObject_Length(__pyx_v_seg2); if (unlikely(__pyx_t_1 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1458, __pyx_L1_error)
  __pyx_t_2 = PyObject_Length(__pyx_v_seg1); if (unlikely(__pyx_t_2 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1458, __pyx_L1_error)
  __pyx_t_3 = (__pyx_t_1 > __pyx_t_2);
  if (__pyx_t_3) {

    /* "fontTools/misc/bezierTools.py":1459
 *     swapped = False
 *     if len(seg2) > len(seg1):
 *         seg2, seg1 = seg1, seg2             # <<<<<<<<<<<<<<
 *         swapped = True
 *     if len(seg1) > 2:
*/
    __pyx_t_4 = __pyx_v_seg1;
    __pyx_t_5 = __pyx_v_seg2;
    __pyx_v_seg2 = __pyx_t_4;
    __pyx_t_4 = 0;
    __pyx_v_seg1 = __pyx_t_5;
    __pyx_t_5 = 0;

    /* "fontTools/misc/bezierTools.py":1460
 *     if len(seg2) > len(seg1):
 *         seg2, seg1 = seg1, seg2
 *         swapped = True             # <<<<<<<<<<<<<<
 *     if len(seg1) > 2:
 *         if len(seg2) > 2:
*/
    __pyx_v_swapped = 1;

    /* "fontTools/misc/bezierTools.py":1458
 *     # Arrange by degree
 *     swapped = False
 *     if len(seg2) > len(seg1):             # <<<<<<<<<<<<<<
 *         seg2, seg1 = seg1, seg2
 *         swapped = True
*/
  }

  /* "fontTools/misc/bezierTools.py":1461
 *         seg2, seg1 = seg1, seg2
 *         swapped = True
 *     if len(seg1) > 2:             # <<<<<<<<<<<<<<
 *         if len(seg2) > 2:
 *             intersections = curveCurveIntersections(seg1, seg2)
*/
  __pyx_t_2 = PyObject_Length(__pyx_v_seg1); if (unlikely(__pyx_t_2 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1461, __pyx_L1_error)
  __pyx_t_3 = (__pyx_t_2 > 2);
  if (__pyx_t_3) {

    /* "fontTools/misc/bezierTools.py":1462
 *         swapped = True
 *     if len(seg1) > 2:
 *         if len(seg2) > 2:             # <<<<<<<<<<<<<<
 *             intersections = curveCurveIntersections(seg1, seg2)
 *         else:
*/
    __pyx_t_2 = PyObject_Length(__pyx_v_seg2); if (unlikely(__pyx_t_2 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1462, __pyx_L1_error)
    __pyx_t_3 = (__pyx_t_2 > 2);
    if (__pyx_t_3) {

      /* "fontTools/misc/bezierTools.py":1463
 *     if len(seg1) > 2:
 *         if len(seg2) > 2:
 *             intersections = curveCurveIntersections(seg1, seg2)             # <<<<<<<<<<<<<<
 *         else:
 *             intersections = curveLineIntersections(seg1, seg2)
*/
      __pyx_t_7 = NULL;
      __Pyx_GetModuleGlobalName(__pyx_t_8, __pyx_mstate_global->__pyx_n_u_curveCurveIntersections); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1463, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_8);
      __pyx_t_9 = 1;
      #if CYTHON_UNPACK_METHODS
      if (unlikely(PyMethod_Check(__pyx_t_8))) {
        __pyx_t_7 = PyMethod_GET_SELF(__pyx_t_8);
        assert(__pyx_t_7);
        PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_8);
        __Pyx_INCREF(__pyx_t_7);
        __Pyx_INCREF(__pyx__function);
        __Pyx_DECREF_SET(__pyx_t_8, __pyx__function);
        __pyx_t_9 = 0;
      }
      #endif
      {
        PyObject *__pyx_callargs[3] = {__pyx_t_7, __pyx_v_seg1, __pyx_v_seg2};
        __pyx_t_6 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_8, __pyx_callargs+__pyx_t_9, (3-__pyx_t_9) | (__pyx_t_9*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
        __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
        __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
        if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1463, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_6);
      }
      __pyx_v_intersections = __pyx_t_6;
      __pyx_t_6 = 0;

      /* "fontTools/misc/bezierTools.py":1462
 *         swapped = True
 *     if len(seg1) > 2:
 *         if len(seg2) > 2:             # <<<<<<<<<<<<<<
 *             intersections = curveCurveIntersections(seg1, seg2)
 *         else:
*/
      goto __pyx_L5;
    }

    /* "fontTools/misc/bezierTools.py":1465
 *             intersections = curveCurveIntersections(seg1, seg2)
 *         else:
 *             intersections = curveLineIntersections(seg1, seg2)             # <<<<<<<<<<<<<<
 *     elif len(seg1) == 2 and len(seg2) == 2:
 *         intersections = lineLineIntersections(*seg1, *seg2)
*/
    /*else*/ {
      __pyx_t_8 = NULL;
      __Pyx_GetModuleGlobalName(__pyx_t_7, __pyx_mstate_global->__pyx_n_u_curveLineIntersections); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1465, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_7);
      __pyx_t_9 = 1;
      #if CYTHON_UNPACK_METHODS
      if (unlikely(PyMethod_Check(__pyx_t_7))) {
        __pyx_t_8 = PyMethod_GET_SELF(__pyx_t_7);
        assert(__pyx_t_8);
        PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_7);
        __Pyx_INCREF(__pyx_t_8);
        __Pyx_INCREF(__pyx__function);
        __Pyx_DECREF_SET(__pyx_t_7, __pyx__function);
        __pyx_t_9 = 0;
      }
      #endif
      {
        PyObject *__pyx_callargs[3] = {__pyx_t_8, __pyx_v_seg1, __pyx_v_seg2};
        __pyx_t_6 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_7, __pyx_callargs+__pyx_t_9, (3-__pyx_t_9) | (__pyx_t_9*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
        __Pyx_XDECREF(__pyx_t_8); __pyx_t_8 = 0;
        __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
        if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1465, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_6);
      }
      __pyx_v_intersections = __pyx_t_6;
      __pyx_t_6 = 0;
    }
    __pyx_L5:;

    /* "fontTools/misc/bezierTools.py":1461
 *         seg2, seg1 = seg1, seg2
 *         swapped = True
 *     if len(seg1) > 2:             # <<<<<<<<<<<<<<
 *         if len(seg2) > 2:
 *             intersections = curveCurveIntersections(seg1, seg2)
*/
    goto __pyx_L4;
  }

  /* "fontTools/misc/bezierTools.py":1466
 *         else:
 *             intersections = curveLineIntersections(seg1, seg2)
 *     elif len(seg1) == 2 and len(seg2) == 2:             # <<<<<<<<<<<<<<
 *         intersections = lineLineIntersections(*seg1, *seg2)
 *     else:
*/
  __pyx_t_2 = PyObject_Length(__pyx_v_seg1); if (unlikely(__pyx_t_2 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1466, __pyx_L1_error)
  __pyx_t_10 = (__pyx_t_2 == 2);
  if (__pyx_t_10) {
  } else {
    __pyx_t_3 = __pyx_t_10;
    goto __pyx_L6_bool_binop_done;
  }
  __pyx_t_2 = PyObject_Length(__pyx_v_seg2); if (unlikely(__pyx_t_2 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1466, __pyx_L1_error)
  __pyx_t_10 = (__pyx_t_2 == 2);
  __pyx_t_3 = __pyx_t_10;
  __pyx_L6_bool_binop_done:;
  if (likely(__pyx_t_3)) {

    /* "fontTools/misc/bezierTools.py":1467
 *             intersections = curveLineIntersections(seg1, seg2)
 *     elif len(seg1) == 2 and len(seg2) == 2:
 *         intersections = lineLineIntersections(*seg1, *seg2)             # <<<<<<<<<<<<<<
 *     else:
 *         raise ValueError("Couldn't work out which intersection function to use")
*/
    __Pyx_GetModuleGlobalName(__pyx_t_6, __pyx_mstate_global->__pyx_n_u_lineLineIntersections); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1467, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_7 = __Pyx_PySequence_Tuple(__pyx_v_seg1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1467, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __pyx_t_8 = __Pyx_PySequence_Tuple(__pyx_v_seg2); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1467, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __pyx_t_11 = PyNumber_Add(__pyx_t_7, __pyx_t_8); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1467, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_11);
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __pyx_t_8 = __Pyx_PyObject_Call(__pyx_t_6, __pyx_t_11, NULL); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1467, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
    __pyx_v_intersections = __pyx_t_8;
    __pyx_t_8 = 0;

    /* "fontTools/misc/bezierTools.py":1466
 *         else:
 *             intersections = curveLineIntersections(seg1, seg2)
 *     elif len(seg1) == 2 and len(seg2) == 2:             # <<<<<<<<<<<<<<
 *         intersections = lineLineIntersections(*seg1, *seg2)
 *     else:
*/
    goto __pyx_L4;
  }

  /* "fontTools/misc/bezierTools.py":1469
 *         intersections = lineLineIntersections(*seg1, *seg2)
 *     else:
 *         raise ValueError("Couldn't work out which intersection function to use")             # <<<<<<<<<<<<<<
 *     if not swapped:
 *         return intersections
*/
  /*else*/ {
    __pyx_t_11 = NULL;
    __pyx_t_9 = 1;
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_11, __pyx_mstate_global->__pyx_kp_u_Couldn_t_work_out_which_intersec};
      __pyx_t_8 = __Pyx_PyObject_FastCall((PyObject*)(((PyTypeObject*)PyExc_ValueError)), __pyx_callargs+__pyx_t_9, (2-__pyx_t_9) | (__pyx_t_9*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_11); __pyx_t_11 = 0;
      if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1469, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_8);
    }
    __Pyx_Raise(__pyx_t_8, 0, 0, 0);
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __PYX_ERR(0, 1469, __pyx_L1_error)
  }
  __pyx_L4:;

  /* "fontTools/misc/bezierTools.py":1470
 *     else:
 *         raise ValueError("Couldn't work out which intersection function to use")
 *     if not swapped:             # <<<<<<<<<<<<<<
 *         return intersections
 *     return [Intersection(pt=i.pt, t1=i.t2, t2=i.t1) for i in intersections]
*/
  __pyx_t_3 = (!__pyx_v_swapped);
  if (__pyx_t_3) {

    /* "fontTools/misc/bezierTools.py":1471
 *         raise ValueError("Couldn't work out which intersection function to use")
 *     if not swapped:
 *         return intersections             # <<<<<<<<<<<<<<
 *     return [Intersection(pt=i.pt, t1=i.t2, t2=i.t1) for i in intersections]
 * 
*/
    __Pyx_XDECREF(__pyx_r);
    __Pyx_INCREF(__pyx_v_intersections);
    __pyx_r = __pyx_v_intersections;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1470
 *     else:
 *         raise ValueError("Couldn't work out which intersection function to use")
 *     if not swapped:             # <<<<<<<<<<<<<<
 *         return intersections
 *     return [Intersection(pt=i.pt, t1=i.t2, t2=i.t1) for i in intersections]
*/
  }

  /* "fontTools/misc/bezierTools.py":1472
 *     if not swapped:
 *         return intersections
 *     return [Intersection(pt=i.pt, t1=i.t2, t2=i.t1) for i in intersections]             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __Pyx_XDECREF(__pyx_r);
  { /* enter inner scope */
    __pyx_t_8 = PyList_New(0); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1472, __pyx_L11_error)
    __Pyx_GOTREF(__pyx_t_8);
    if (likely(PyList_CheckExact(__pyx_v_intersections)) || PyTuple_CheckExact(__pyx_v_intersections)) {
      __pyx_t_11 = __pyx_v_intersections; __Pyx_INCREF(__pyx_t_11);
      __pyx_t_2 = 0;
      __pyx_t_12 = NULL;
    } else {
      __pyx_t_2 = -1; __pyx_t_11 = PyObject_GetIter(__pyx_v_intersections); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1472, __pyx_L11_error)
      __Pyx_GOTREF(__pyx_t_11);
      __pyx_t_12 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_11); if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 1472, __pyx_L11_error)
    }
    for (;;) {
      if (likely(!__pyx_t_12)) {
        if (likely(PyList_CheckExact(__pyx_t_11))) {
          {
            Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_11);
            #if !CYTHON_ASSUME_SAFE_SIZE
            if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1472, __pyx_L11_error)
            #endif
            if (__pyx_t_2 >= __pyx_temp) break;
          }
          __pyx_t_6 = __Pyx_PyList_GetItemRefFast(__pyx_t_11, __pyx_t_2, __Pyx_ReferenceSharing_OwnStrongReference);
          ++__pyx_t_2;
        } else {
          {
            Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_11);
            #if !CYTHON_ASSUME_SAFE_SIZE
            if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1472, __pyx_L11_error)
            #endif
            if (__pyx_t_2 >= __pyx_temp) break;
          }
          #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
          __pyx_t_6 = __Pyx_NewRef(PyTuple_GET_ITEM(__pyx_t_11, __pyx_t_2));
          #else
          __pyx_t_6 = __Pyx_PySequence_ITEM(__pyx_t_11, __pyx_t_2);
          #endif
          ++__pyx_t_2;
        }
        if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1472, __pyx_L11_error)
      } else {
        __pyx_t_6 = __pyx_t_12(__pyx_t_11);
        if (unlikely(!__pyx_t_6)) {
          PyObject* exc_type = PyErr_Occurred();
          if (exc_type) {
            if (unlikely(!__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) __PYX_ERR(0, 1472, __pyx_L11_error)
            PyErr_Clear();
          }
          break;
        }
      }
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_XDECREF_SET(__pyx_9genexpr10__pyx_v_i, __pyx_t_6);
      __pyx_t_6 = 0;
      __pyx_t_7 = NULL;
      __Pyx_GetModuleGlobalName(__pyx_t_13, __pyx_mstate_global->__pyx_n_u_Intersection); if (unlikely(!__pyx_t_13)) __PYX_ERR(0, 1472, __pyx_L11_error)
      __Pyx_GOTREF(__pyx_t_13);
      __pyx_t_14 = __Pyx_PyObject_GetAttrStr(__pyx_9genexpr10__pyx_v_i, __pyx_mstate_global->__pyx_n_u_pt); if (unlikely(!__pyx_t_14)) __PYX_ERR(0, 1472, __pyx_L11_error)
      __Pyx_GOTREF(__pyx_t_14);
      __pyx_t_15 = __Pyx_PyObject_GetAttrStr(__pyx_9genexpr10__pyx_v_i, __pyx_mstate_global->__pyx_n_u_t2); if (unlikely(!__pyx_t_15)) __PYX_ERR(0, 1472, __pyx_L11_error)
      __Pyx_GOTREF(__pyx_t_15);
      __pyx_t_16 = __Pyx_PyObject_GetAttrStr(__pyx_9genexpr10__pyx_v_i, __pyx_mstate_global->__pyx_n_u_t1); if (unlikely(!__pyx_t_16)) __PYX_ERR(0, 1472, __pyx_L11_error)
      __Pyx_GOTREF(__pyx_t_16);
      __pyx_t_9 = 1;
      #if CYTHON_UNPACK_METHODS
      if (unlikely(PyMethod_Check(__pyx_t_13))) {
        __pyx_t_7 = PyMethod_GET_SELF(__pyx_t_13);
        assert(__pyx_t_7);
        PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_13);
        __Pyx_INCREF(__pyx_t_7);
        __Pyx_INCREF(__pyx__function);
        __Pyx_DECREF_SET(__pyx_t_13, __pyx__function);
        __pyx_t_9 = 0;
      }
      #endif
      {
        PyObject *__pyx_callargs[2 + ((CYTHON_VECTORCALL) ? 3 : 0)] = {__pyx_t_7, NULL};
        __pyx_t_17 = __Pyx_MakeVectorcallBuilderKwds(3); if (unlikely(!__pyx_t_17)) __PYX_ERR(0, 1472, __pyx_L11_error)
        __Pyx_GOTREF(__pyx_t_17);
        if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_pt, __pyx_t_14, __pyx_t_17, __pyx_callargs+1, 0) < (0)) __PYX_ERR(0, 1472, __pyx_L11_error)
        if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_t1, __pyx_t_15, __pyx_t_17, __pyx_callargs+1, 1) < (0)) __PYX_ERR(0, 1472, __pyx_L11_error)
        if (__Pyx_VectorcallBuilder_AddArg(__pyx_mstate_global->__pyx_n_u_t2, __pyx_t_16, __pyx_t_17, __pyx_callargs+1, 2) < (0)) __PYX_ERR(0, 1472, __pyx_L11_error)
        __pyx_t_6 = __Pyx_Object_Vectorcall_CallFromBuilder((PyObject*)__pyx_t_13, __pyx_callargs+__pyx_t_9, (1-__pyx_t_9) | (__pyx_t_9*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET), __pyx_t_17);
        __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
        __Pyx_DECREF(__pyx_t_14); __pyx_t_14 = 0;
        __Pyx_DECREF(__pyx_t_15); __pyx_t_15 = 0;
        __Pyx_DECREF(__pyx_t_16); __pyx_t_16 = 0;
        __Pyx_DECREF(__pyx_t_17); __pyx_t_17 = 0;
        __Pyx_DECREF(__pyx_t_13); __pyx_t_13 = 0;
        if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1472, __pyx_L11_error)
        __Pyx_GOTREF(__pyx_t_6);
      }
      if (unlikely(__Pyx_ListComp_Append(__pyx_t_8, (PyObject*)__pyx_t_6))) __PYX_ERR(0, 1472, __pyx_L11_error)
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    }
    __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
    __Pyx_XDECREF(__pyx_9genexpr10__pyx_v_i); __pyx_9genexpr10__pyx_v_i = 0;
    goto __pyx_L15_exit_scope;
    __pyx_L11_error:;
    __Pyx_XDECREF(__pyx_9genexpr10__pyx_v_i); __pyx_9genexpr10__pyx_v_i = 0;
    goto __pyx_L1_error;
    __pyx_L15_exit_scope:;
  } /* exit inner scope */
  __pyx_r = __pyx_t_8;
  __pyx_t_8 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1427
 * 
 * 
 * def segmentSegmentIntersections(seg1, seg2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between two segments.
 * 
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_XDECREF(__pyx_t_11);
  __Pyx_XDECREF(__pyx_t_13);
  __Pyx_XDECREF(__pyx_t_14);
  __Pyx_XDECREF(__pyx_t_15);
  __Pyx_XDECREF(__pyx_t_16);
  __Pyx_XDECREF(__pyx_t_17);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.segmentSegmentIntersections", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_intersections);
  __Pyx_XDECREF(__pyx_9genexpr10__pyx_v_i);
  __Pyx_XDECREF(__pyx_v_seg1);
  __Pyx_XDECREF(__pyx_v_seg2);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1475
 * 
 * 
 * def _segmentrepr(obj):             # <<<<<<<<<<<<<<
 *     """
 *     >>> _segmentrepr([1, [2, 3], [], [[2, [3, 4], [0.1, 2.2]]]])
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_93_segmentrepr(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_92_segmentrepr, "_segmentrepr(obj)\n\n>>> _segmentrepr([1, [2, 3], [], [[2, [3, 4], [0.1, 2.2]]]])\n'(1, (2, 3), (), ((2, (3, 4), (0.1, 2.2))))'");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_93_segmentrepr = {"_segmentrepr", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_93_segmentrepr, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_92_segmentrepr};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_93_segmentrepr(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_obj = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[1] = {0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_segmentrepr (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_obj,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 1475, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1475, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "_segmentrepr", 0) < (0)) __PYX_ERR(0, 1475, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 1; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("_segmentrepr", 1, 1, 1, i); __PYX_ERR(0, 1475, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 1)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1475, __pyx_L3_error)
    }
    __pyx_v_obj = values[0];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_segmentrepr", 1, 1, 1, __pyx_nargs); __PYX_ERR(0, 1475, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._segmentrepr", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_92_segmentrepr(__pyx_self, __pyx_v_obj);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}
static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_12_segmentrepr_2generator6(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value); /* proto */

/* "fontTools/misc/bezierTools.py":1485
 *         return "%g" % obj
 *     else:
 *         return "(%s)" % ", ".join(_segmentrepr(x) for x in it)             # <<<<<<<<<<<<<<
 * 
 * 
*/

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_12_segmentrepr_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr *__pyx_cur_scope;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("genexpr", 0);
  __pyx_cur_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr(__pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr, __pyx_mstate_global->__pyx_empty_tuple, NULL);
  if (unlikely(!__pyx_cur_scope)) {
    __pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr *)Py_None);
    __Pyx_INCREF(Py_None);
    __PYX_ERR(0, 1485, __pyx_L1_error)
  } else {
    __Pyx_GOTREF((PyObject *)__pyx_cur_scope);
  }
  __pyx_cur_scope->__pyx_genexpr_arg_0 = __pyx_genexpr_arg_0;
  __Pyx_INCREF(__pyx_cur_scope->__pyx_genexpr_arg_0);
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_genexpr_arg_0);
  {
    __pyx_CoroutineObject *gen = __Pyx_Generator_New((__pyx_coroutine_body_t) __pyx_gb_9fontTools_4misc_11bezierTools_12_segmentrepr_2generator6, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[8]), (PyObject *) __pyx_cur_scope, __pyx_mstate_global->__pyx_n_u_genexpr, __pyx_mstate_global->__pyx_n_u_segmentrepr_locals_genexpr, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools); if (unlikely(!gen)) __PYX_ERR(0, 1485, __pyx_L1_error)
    __Pyx_DECREF(__pyx_cur_scope);
    __Pyx_RefNannyFinishContext();
    return (PyObject *) gen;
  }

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_AddTraceback("fontTools.misc.bezierTools._segmentrepr.genexpr", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __Pyx_DECREF((PyObject *)__pyx_cur_scope);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_12_segmentrepr_2generator6(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value) /* generator body */
{
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr *__pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr *)__pyx_generator->closure);
  PyObject *__pyx_r = NULL;
  PyObject *__pyx_t_1 = NULL;
  Py_ssize_t __pyx_t_2;
  PyObject *(*__pyx_t_3)(PyObject *);
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  size_t __pyx_t_7;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("genexpr", 0);
  switch (__pyx_generator->resume_label) {
    case 0: goto __pyx_L3_first_run;
    default: /* CPython raises the right error here */
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __pyx_L3_first_run:;
  if (unlikely(!__pyx_sent_value)) __PYX_ERR(0, 1485, __pyx_L1_error)
  __pyx_r = PyList_New(0); if (unlikely(!__pyx_r)) __PYX_ERR(0, 1485, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_r);
  if (unlikely(!__pyx_cur_scope->__pyx_genexpr_arg_0)) { __Pyx_RaiseUnboundLocalError(".0"); __PYX_ERR(0, 1485, __pyx_L1_error) }
  if (likely(PyList_CheckExact(__pyx_cur_scope->__pyx_genexpr_arg_0)) || PyTuple_CheckExact(__pyx_cur_scope->__pyx_genexpr_arg_0)) {
    __pyx_t_1 = __pyx_cur_scope->__pyx_genexpr_arg_0; __Pyx_INCREF(__pyx_t_1);
    __pyx_t_2 = 0;
    __pyx_t_3 = NULL;
  } else {
    __pyx_t_2 = -1; __pyx_t_1 = PyObject_GetIter(__pyx_cur_scope->__pyx_genexpr_arg_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1485, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1485, __pyx_L1_error)
  }
  for (;;) {
    if (likely(!__pyx_t_3)) {
      if (likely(PyList_CheckExact(__pyx_t_1))) {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_SIZE
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1485, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        __pyx_t_4 = __Pyx_PyList_GetItemRefFast(__pyx_t_1, __pyx_t_2, __Pyx_ReferenceSharing_OwnStrongReference);
        ++__pyx_t_2;
      } else {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_SIZE
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1485, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_4 = __Pyx_NewRef(PyTuple_GET_ITEM(__pyx_t_1, __pyx_t_2));
        #else
        __pyx_t_4 = __Pyx_PySequence_ITEM(__pyx_t_1, __pyx_t_2);
        #endif
        ++__pyx_t_2;
      }
      if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1485, __pyx_L1_error)
    } else {
      __pyx_t_4 = __pyx_t_3(__pyx_t_1);
      if (unlikely(!__pyx_t_4)) {
        PyObject* exc_type = PyErr_Occurred();
        if (exc_type) {
          if (unlikely(!__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) __PYX_ERR(0, 1485, __pyx_L1_error)
          PyErr_Clear();
        }
        break;
      }
    }
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_XGOTREF(__pyx_cur_scope->__pyx_v_x);
    __Pyx_XDECREF_SET(__pyx_cur_scope->__pyx_v_x, __pyx_t_4);
    __Pyx_GIVEREF(__pyx_t_4);
    __pyx_t_4 = 0;
    __pyx_t_5 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_6, __pyx_mstate_global->__pyx_n_u_segmentrepr); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1485, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_7 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_6))) {
      __pyx_t_5 = PyMethod_GET_SELF(__pyx_t_6);
      assert(__pyx_t_5);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_6);
      __Pyx_INCREF(__pyx_t_5);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_6, __pyx__function);
      __pyx_t_7 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_5, __pyx_cur_scope->__pyx_v_x};
      __pyx_t_4 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_6, __pyx_callargs+__pyx_t_7, (2-__pyx_t_7) | (__pyx_t_7*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1485, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_4);
    }
    if (unlikely(__Pyx_ListComp_Append(__pyx_r, (PyObject*)__pyx_t_4))) __PYX_ERR(0, 1485, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  }
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  CYTHON_MAYBE_UNUSED_VAR(__pyx_cur_scope);

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_r); __pyx_r = 0;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  if (__Pyx_PyErr_Occurred()) {
    __Pyx_Generator_Replace_StopIteration(0);
    __Pyx_AddTraceback("genexpr", __pyx_clineno, __pyx_lineno, __pyx_filename);
  }
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  #if !CYTHON_USE_EXC_INFO_STACK
  __Pyx_Coroutine_ResetAndClearException(__pyx_generator);
  #endif
  __pyx_generator->resume_label = -1;
  __Pyx_Coroutine_clear((PyObject*)__pyx_generator);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1475
 * 
 * 
 * def _segmentrepr(obj):             # <<<<<<<<<<<<<<
 *     """
 *     >>> _segmentrepr([1, [2, 3], [], [[2, [3, 4], [0.1, 2.2]]]])
*/

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_92_segmentrepr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
  PyObject *__pyx_v_it = NULL;
  PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_12_segmentrepr_2generator6 = 0;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  int __pyx_t_6;
  PyObject *__pyx_t_7 = NULL;
  PyObject *__pyx_t_8 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_segmentrepr", 0);

  /* "fontTools/misc/bezierTools.py":1480
 *     '(1, (2, 3), (), ((2, (3, 4), (0.1, 2.2))))'
 *     """
 *     try:             # <<<<<<<<<<<<<<
 *         it = iter(obj)
 *     except TypeError:
*/
  {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    __Pyx_ExceptionSave(&__pyx_t_1, &__pyx_t_2, &__pyx_t_3);
    __Pyx_XGOTREF(__pyx_t_1);
    __Pyx_XGOTREF(__pyx_t_2);
    __Pyx_XGOTREF(__pyx_t_3);
    /*try:*/ {

      /* "fontTools/misc/bezierTools.py":1481
 *     """
 *     try:
 *         it = iter(obj)             # <<<<<<<<<<<<<<
 *     except TypeError:
 *         return "%g" % obj
*/
      __pyx_t_4 = PyObject_GetIter(__pyx_v_obj); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1481, __pyx_L3_error)
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_v_it = __pyx_t_4;
      __pyx_t_4 = 0;

      /* "fontTools/misc/bezierTools.py":1480
 *     '(1, (2, 3), (), ((2, (3, 4), (0.1, 2.2))))'
 *     """
 *     try:             # <<<<<<<<<<<<<<
 *         it = iter(obj)
 *     except TypeError:
*/
    }

    /* "fontTools/misc/bezierTools.py":1485
 *         return "%g" % obj
 *     else:
 *         return "(%s)" % ", ".join(_segmentrepr(x) for x in it)             # <<<<<<<<<<<<<<
 * 
 * 
*/
    /*else:*/ {
      __Pyx_XDECREF(__pyx_r);
      __pyx_t_4 = __pyx_pf_9fontTools_4misc_11bezierTools_12_segmentrepr_genexpr(NULL, __pyx_v_it); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1485, __pyx_L5_except_error)
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_t_5 = __Pyx_Generator_GetInlinedResult(__pyx_t_4); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1485, __pyx_L5_except_error)
      __Pyx_GOTREF(__pyx_t_5);
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_t_4 = PyUnicode_Join(__pyx_mstate_global->__pyx_kp_u_, __pyx_t_5); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1485, __pyx_L5_except_error)
      __Pyx_GOTREF(__pyx_t_4);
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      __pyx_t_5 = PyUnicode_Format(__pyx_mstate_global->__pyx_kp_u_s_2, __pyx_t_4); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1485, __pyx_L5_except_error)
      __Pyx_GOTREF(__pyx_t_5);
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_r = __pyx_t_5;
      __pyx_t_5 = 0;
      goto __pyx_L6_except_return;
    }
    __pyx_L3_error:;
    __Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":1482
 *     try:
 *         it = iter(obj)
 *     except TypeError:             # <<<<<<<<<<<<<<
 *         return "%g" % obj
 *     else:
*/
    __pyx_t_6 = __Pyx_PyErr_ExceptionMatches(((PyObject *)(((PyTypeObject*)PyExc_TypeError))));
    if (__pyx_t_6) {
      __Pyx_AddTraceback("fontTools.misc.bezierTools._segmentrepr", __pyx_clineno, __pyx_lineno, __pyx_filename);
      if (__Pyx_GetException(&__pyx_t_5, &__pyx_t_4, &__pyx_t_7) < 0) __PYX_ERR(0, 1482, __pyx_L5_except_error)
      __Pyx_XGOTREF(__pyx_t_5);
      __Pyx_XGOTREF(__pyx_t_4);
      __Pyx_XGOTREF(__pyx_t_7);

      /* "fontTools/misc/bezierTools.py":1483
 *         it = iter(obj)
 *     except TypeError:
 *         return "%g" % obj             # <<<<<<<<<<<<<<
 *     else:
 *         return "(%s)" % ", ".join(_segmentrepr(x) for x in it)
*/
      __Pyx_XDECREF(__pyx_r);
      __pyx_t_8 = __Pyx_PyUnicode_FormatSafe(__pyx_mstate_global->__pyx_kp_u_g, __pyx_v_obj); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1483, __pyx_L5_except_error)
      __Pyx_GOTREF(__pyx_t_8);
      __pyx_r = __pyx_t_8;
      __pyx_t_8 = 0;
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
      goto __pyx_L6_except_return;
    }
    goto __pyx_L5_except_error;

    /* "fontTools/misc/bezierTools.py":1480
 *     '(1, (2, 3), (), ((2, (3, 4), (0.1, 2.2))))'
 *     """
 *     try:             # <<<<<<<<<<<<<<
 *         it = iter(obj)
 *     except TypeError:
*/
    __pyx_L5_except_error:;
    __Pyx_XGIVEREF(__pyx_t_1);
    __Pyx_XGIVEREF(__pyx_t_2);
    __Pyx_XGIVEREF(__pyx_t_3);
    __Pyx_ExceptionReset(__pyx_t_1, __pyx_t_2, __pyx_t_3);
    goto __pyx_L1_error;
    __pyx_L6_except_return:;
    __Pyx_XGIVEREF(__pyx_t_1);
    __Pyx_XGIVEREF(__pyx_t_2);
    __Pyx_XGIVEREF(__pyx_t_3);
    __Pyx_ExceptionReset(__pyx_t_1, __pyx_t_2, __pyx_t_3);
    goto __pyx_L0;
  }

  /* "fontTools/misc/bezierTools.py":1475
 * 
 * 
 * def _segmentrepr(obj):             # <<<<<<<<<<<<<<
 *     """
 *     >>> _segmentrepr([1, [2, 3], [], [[2, [3, 4], [0.1, 2.2]]]])
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._segmentrepr", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_it);
  __Pyx_XDECREF(__pyx_gb_9fontTools_4misc_11bezierTools_12_segmentrepr_2generator6);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1488
 * 
 * 
 * def printSegments(segments):             # <<<<<<<<<<<<<<
 *     """Helper for the doctests, displaying each segment in a list of
 *     segments on a single line as a tuple.
*/

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_95printSegments(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_94printSegments, "printSegments(segments)\n\nHelper for the doctests, displaying each segment in a list of\nsegments on a single line as a tuple.");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_95printSegments = {"printSegments", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_95printSegments, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_94printSegments};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_95printSegments(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_segments = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[1] = {0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("printSegments (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_SIZE
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject ** const __pyx_pyargnames[] = {&__pyx_mstate_global->__pyx_n_u_segments,0};
    const Py_ssize_t __pyx_kwds_len = (__pyx_kwds) ? __Pyx_NumKwargs_FASTCALL(__pyx_kwds) : 0;
    if (unlikely(__pyx_kwds_len) < 0) __PYX_ERR(0, 1488, __pyx_L3_error)
    if (__pyx_kwds_len > 0) {
      switch (__pyx_nargs) {
        case  1:
        values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
        if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1488, __pyx_L3_error)
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      const Py_ssize_t kwd_pos_args = __pyx_nargs;
      if (__Pyx_ParseKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values, kwd_pos_args, __pyx_kwds_len, "printSegments", 0) < (0)) __PYX_ERR(0, 1488, __pyx_L3_error)
      for (Py_ssize_t i = __pyx_nargs; i < 1; i++) {
        if (unlikely(!values[i])) { __Pyx_RaiseArgtupleInvalid("printSegments", 1, 1, 1, i); __PYX_ERR(0, 1488, __pyx_L3_error) }
      }
    } else if (unlikely(__pyx_nargs != 1)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_ArgRef_FASTCALL(__pyx_args, 0);
      if (!CYTHON_ASSUME_SAFE_MACROS && unlikely(!values[0])) __PYX_ERR(0, 1488, __pyx_L3_error)
    }
    __pyx_v_segments = values[0];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("printSegments", 1, 1, 1, __pyx_nargs); __PYX_ERR(0, 1488, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.printSegments", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_94printSegments(__pyx_self, __pyx_v_segments);

  /* function exit code */
  for (Py_ssize_t __pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
    Py_XDECREF(values[__pyx_temp]);
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_94printSegments(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_segments) {
  PyObject *__pyx_v_segment = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  Py_ssize_t __pyx_t_2;
  PyObject *(*__pyx_t_3)(PyObject *);
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  PyObject *__pyx_t_8 = NULL;
  size_t __pyx_t_9;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("printSegments", 0);

  /* "fontTools/misc/bezierTools.py":1492
 *     segments on a single line as a tuple.
 *     """
 *     for segment in segments:             # <<<<<<<<<<<<<<
 *         print(_segmentrepr(segment))
 * 
*/
  if (likely(PyList_CheckExact(__pyx_v_segments)) || PyTuple_CheckExact(__pyx_v_segments)) {
    __pyx_t_1 = __pyx_v_segments; __Pyx_INCREF(__pyx_t_1);
    __pyx_t_2 = 0;
    __pyx_t_3 = NULL;
  } else {
    __pyx_t_2 = -1; __pyx_t_1 = PyObject_GetIter(__pyx_v_segments); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1492, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = (CYTHON_COMPILING_IN_LIMITED_API) ? PyIter_Next : __Pyx_PyObject_GetIterNextFunc(__pyx_t_1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1492, __pyx_L1_error)
  }
  for (;;) {
    if (likely(!__pyx_t_3)) {
      if (likely(PyList_CheckExact(__pyx_t_1))) {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_SIZE
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1492, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        __pyx_t_4 = __Pyx_PyList_GetItemRefFast(__pyx_t_1, __pyx_t_2, __Pyx_ReferenceSharing_OwnStrongReference);
        ++__pyx_t_2;
      } else {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_SIZE
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1492, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_4 = __Pyx_NewRef(PyTuple_GET_ITEM(__pyx_t_1, __pyx_t_2));
        #else
        __pyx_t_4 = __Pyx_PySequence_ITEM(__pyx_t_1, __pyx_t_2);
        #endif
        ++__pyx_t_2;
      }
      if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1492, __pyx_L1_error)
    } else {
      __pyx_t_4 = __pyx_t_3(__pyx_t_1);
      if (unlikely(!__pyx_t_4)) {
        PyObject* exc_type = PyErr_Occurred();
        if (exc_type) {
          if (unlikely(!__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) __PYX_ERR(0, 1492, __pyx_L1_error)
          PyErr_Clear();
        }
        break;
      }
    }
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_XDECREF_SET(__pyx_v_segment, __pyx_t_4);
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":1493
 *     """
 *     for segment in segments:
 *         print(_segmentrepr(segment))             # <<<<<<<<<<<<<<
 * 
 * 
*/
    __pyx_t_5 = NULL;
    __pyx_t_7 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_8, __pyx_mstate_global->__pyx_n_u_segmentrepr); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1493, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __pyx_t_9 = 1;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_8))) {
      __pyx_t_7 = PyMethod_GET_SELF(__pyx_t_8);
      assert(__pyx_t_7);
      PyObject* __pyx__function = PyMethod_GET_FUNCTION(__pyx_t_8);
      __Pyx_INCREF(__pyx_t_7);
      __Pyx_INCREF(__pyx__function);
      __Pyx_DECREF_SET(__pyx_t_8, __pyx__function);
      __pyx_t_9 = 0;
    }
    #endif
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_7, __pyx_v_segment};
      __pyx_t_6 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_8, __pyx_callargs+__pyx_t_9, (2-__pyx_t_9) | (__pyx_t_9*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
      __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
      if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1493, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
    }
    __pyx_t_9 = 1;
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_5, __pyx_t_6};
      __pyx_t_4 = __Pyx_PyObject_FastCall((PyObject*)__pyx_builtin_print, __pyx_callargs+__pyx_t_9, (2-__pyx_t_9) | (__pyx_t_9*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1493, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_4);
    }
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":1492
 *     segments on a single line as a tuple.
 *     """
 *     for segment in segments:             # <<<<<<<<<<<<<<
 *         print(_segmentrepr(segment))
 * 
*/
  }
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1488
 * 
 * 
 * def printSegments(segments):             # <<<<<<<<<<<<<<
 *     """Helper for the doctests, displaying each segment in a list of
 *     segments on a single line as a tuple.
*/

  /* function exit code */
  __pyx_r = Py_None; __Pyx_INCREF(Py_None);
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.printSegments", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_segment);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}
/* #### Code section: module_exttypes ### */

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_defaults(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  o = __Pyx_AllocateExtensionType(t, 1);
  if (unlikely(!o)) return 0;
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_defaults(PyObject *o) {
  struct __pyx_defaults *p = (struct __pyx_defaults *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_defaults) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->arg0);
  PyTypeObject *tp = Py_TYPE(o);
  #if CYTHON_USE_TYPE_SLOTS
  (*tp->tp_free)(o);
  #else
  {
    freefunc tp_free = (freefunc)PyType_GetSlot(tp, Py_tp_free);
    if (tp_free) tp_free(o);
  }
  #endif
  #if CYTHON_USE_TYPE_SPECS
  Py_DECREF(tp);
  #endif
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_defaults(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_defaults *p = (struct __pyx_defaults *)o;
  {
    e = __Pyx_call_type_traverse(o, 1, v, a);
    if (e) return e;
  }
  if (p->arg0) {
    e = (*v)(p->arg0, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_9fontTools_4misc_11bezierTools___pyx_defaults(PyObject *o) {
  PyObject* tmp;
  struct __pyx_defaults *p = (struct __pyx_defaults *)o;
  tmp = ((PyObject*)p->arg0);
  p->arg0 = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_9fontTools_4misc_11bezierTools___pyx_defaults_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_defaults},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_defaults},
  {Py_tp_clear, (void *)__pyx_tp_clear_9fontTools_4misc_11bezierTools___pyx_defaults},
  {Py_tp_new, (void *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_defaults},
  {0, 0},
};
static PyType_Spec __pyx_type_9fontTools_4misc_11bezierTools___pyx_defaults_spec = {
  "fontTools.misc.bezierTools.__pyx_defaults",
  sizeof(struct __pyx_defaults),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC,
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_defaults_slots,
};
#else

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_defaults = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.""__pyx_defaults", /*tp_name*/
  sizeof(struct __pyx_defaults), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_defaults, /*tp_dealloc*/
  0, /*tp_vectorcall_offset*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  0, /*tp_as_async*/
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_defaults, /*tp_traverse*/
  __pyx_tp_clear_9fontTools_4misc_11bezierTools___pyx_defaults, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  0, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_defaults, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if !CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if PY_VERSION_HEX >= 0x030d00A4
  0, /*tp_versions_used*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr > 0) & __PYX_CHECK_FINAL_TYPE_FOR_FREELISTS(t, __pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr))))
  {
    o = (PyObject*)__pyx_mstate_global->__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr[--__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr];
    #if CYTHON_USE_TYPE_SPECS
    Py_DECREF(Py_TYPE(o));
    #endif
    memset(o, 0, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr));
    #if CYTHON_COMPILING_IN_LIMITED_API
    (void) PyObject_Init(o, t);
    #else
    (void) PyObject_INIT(o, t);
    #endif
    PyObject_GC_Track(o);
  } else
  #endif
  {
    o = __Pyx_AllocateExtensionType(t, 1);
    if (unlikely(!o)) return 0;
  }
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr(PyObject *o) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_genexpr_arg_0);
  Py_CLEAR(p->__pyx_v_t);
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr < 8) & __PYX_CHECK_FINAL_TYPE_FOR_FREELISTS(Py_TYPE(o), __pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr))))
  {
    __pyx_mstate_global->__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr[__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr++] = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr *)o);
  } else
  #endif
  {
    PyTypeObject *tp = Py_TYPE(o);
    #if CYTHON_USE_TYPE_SLOTS
    (*tp->tp_free)(o);
    #else
    {
      freefunc tp_free = (freefunc)PyType_GetSlot(tp, Py_tp_free);
      if (tp_free) tp_free(o);
    }
    #endif
    #if CYTHON_USE_TYPE_SPECS
    Py_DECREF(tp);
    #endif
  }
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr *)o;
  {
    e = __Pyx_call_type_traverse(o, 1, v, a);
    if (e) return e;
  }
  if (p->__pyx_genexpr_arg_0) {
    e = (*v)(p->__pyx_genexpr_arg_0, a); if (e) return e;
  }
  if (p->__pyx_v_t) {
    e = (*v)(p->__pyx_v_t, a); if (e) return e;
  }
  return 0;
}
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr},
  {Py_tp_new, (void *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr},
  {0, 0},
};
static PyType_Spec __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr_spec = {
  "fontTools.misc.bezierTools.__pyx_scope_struct__genexpr",
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC,
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr_slots,
};
#else

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.""__pyx_scope_struct__genexpr", /*tp_name*/
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr, /*tp_dealloc*/
  0, /*tp_vectorcall_offset*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  0, /*tp_as_async*/
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  0, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if !CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if PY_VERSION_HEX >= 0x030d00A4
  0, /*tp_versions_used*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr > 0) & __PYX_CHECK_FINAL_TYPE_FOR_FREELISTS(t, __pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr))))
  {
    o = (PyObject*)__pyx_mstate_global->__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr[--__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr];
    #if CYTHON_USE_TYPE_SPECS
    Py_DECREF(Py_TYPE(o));
    #endif
    memset(o, 0, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr));
    #if CYTHON_COMPILING_IN_LIMITED_API
    (void) PyObject_Init(o, t);
    #else
    (void) PyObject_INIT(o, t);
    #endif
    PyObject_GC_Track(o);
  } else
  #endif
  {
    o = __Pyx_AllocateExtensionType(t, 1);
    if (unlikely(!o)) return 0;
  }
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr(PyObject *o) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_genexpr_arg_0);
  Py_CLEAR(p->__pyx_v_t);
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr < 8) & __PYX_CHECK_FINAL_TYPE_FOR_FREELISTS(Py_TYPE(o), __pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr))))
  {
    __pyx_mstate_global->__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr[__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr++] = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr *)o);
  } else
  #endif
  {
    PyTypeObject *tp = Py_TYPE(o);
    #if CYTHON_USE_TYPE_SLOTS
    (*tp->tp_free)(o);
    #else
    {
      freefunc tp_free = (freefunc)PyType_GetSlot(tp, Py_tp_free);
      if (tp_free) tp_free(o);
    }
    #endif
    #if CYTHON_USE_TYPE_SPECS
    Py_DECREF(tp);
    #endif
  }
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr *)o;
  {
    e = __Pyx_call_type_traverse(o, 1, v, a);
    if (e) return e;
  }
  if (p->__pyx_genexpr_arg_0) {
    e = (*v)(p->__pyx_genexpr_arg_0, a); if (e) return e;
  }
  if (p->__pyx_v_t) {
    e = (*v)(p->__pyx_v_t, a); if (e) return e;
  }
  return 0;
}
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr},
  {Py_tp_new, (void *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr},
  {0, 0},
};
static PyType_Spec __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr_spec = {
  "fontTools.misc.bezierTools.__pyx_scope_struct_1_genexpr",
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC,
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr_slots,
};
#else

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.""__pyx_scope_struct_1_genexpr", /*tp_name*/
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr, /*tp_dealloc*/
  0, /*tp_vectorcall_offset*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  0, /*tp_as_async*/
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  0, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if !CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if PY_VERSION_HEX >= 0x030d00A4
  0, /*tp_versions_used*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC > 0) & __PYX_CHECK_FINAL_TYPE_FOR_FREELISTS(t, __pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC))))
  {
    o = (PyObject*)__pyx_mstate_global->__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC[--__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC];
    #if CYTHON_USE_TYPE_SPECS
    Py_DECREF(Py_TYPE(o));
    #endif
    memset(o, 0, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC));
    #if CYTHON_COMPILING_IN_LIMITED_API
    (void) PyObject_Init(o, t);
    #else
    (void) PyObject_INIT(o, t);
    #endif
    PyObject_GC_Track(o);
  } else
  #endif
  {
    o = __Pyx_AllocateExtensionType(t, 1);
    if (unlikely(!o)) return 0;
  }
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC(PyObject *o) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_v_ts);
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC < 8) & __PYX_CHECK_FINAL_TYPE_FOR_FREELISTS(Py_TYPE(o), __pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC))))
  {
    __pyx_mstate_global->__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC[__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC++] = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC *)o);
  } else
  #endif
  {
    PyTypeObject *tp = Py_TYPE(o);
    #if CYTHON_USE_TYPE_SLOTS
    (*tp->tp_free)(o);
    #else
    {
      freefunc tp_free = (freefunc)PyType_GetSlot(tp, Py_tp_free);
      if (tp_free) tp_free(o);
    }
    #endif
    #if CYTHON_USE_TYPE_SPECS
    Py_DECREF(tp);
    #endif
  }
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC *)o;
  {
    e = __Pyx_call_type_traverse(o, 1, v, a);
    if (e) return e;
  }
  if (p->__pyx_v_ts) {
    e = (*v)(p->__pyx_v_ts, a); if (e) return e;
  }
  return 0;
}
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC},
  {Py_tp_new, (void *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC},
  {0, 0},
};
static PyType_Spec __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC_spec = {
  "fontTools.misc.bezierTools.__pyx_scope_struct_2_splitCubicAtTC",
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC,
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC_slots,
};
#else

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.""__pyx_scope_struct_2_splitCubicAtTC", /*tp_name*/
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC, /*tp_dealloc*/
  0, /*tp_vectorcall_offset*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  0, /*tp_as_async*/
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  0, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if !CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if PY_VERSION_HEX >= 0x030d00A4
  0, /*tp_versions_used*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC > 0) & __PYX_CHECK_FINAL_TYPE_FOR_FREELISTS(t, __pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC))))
  {
    o = (PyObject*)__pyx_mstate_global->__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC[--__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC];
    #if CYTHON_USE_TYPE_SPECS
    Py_DECREF(Py_TYPE(o));
    #endif
    memset(o, 0, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC));
    #if CYTHON_COMPILING_IN_LIMITED_API
    (void) PyObject_Init(o, t);
    #else
    (void) PyObject_INIT(o, t);
    #endif
    PyObject_GC_Track(o);
  } else
  #endif
  {
    o = __Pyx_AllocateExtensionType(t, 1);
    if (unlikely(!o)) return 0;
  }
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC(PyObject *o) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_v_i);
  Py_CLEAR(p->__pyx_v_pt1);
  Py_CLEAR(p->__pyx_v_pt2);
  Py_CLEAR(p->__pyx_v_pt3);
  Py_CLEAR(p->__pyx_v_pt4);
  Py_CLEAR(p->__pyx_v_ts);
  Py_CLEAR(p->__pyx_t_0);
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC < 8) & __PYX_CHECK_FINAL_TYPE_FOR_FREELISTS(Py_TYPE(o), __pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC))))
  {
    __pyx_mstate_global->__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC[__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC++] = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC *)o);
  } else
  #endif
  {
    PyTypeObject *tp = Py_TYPE(o);
    #if CYTHON_USE_TYPE_SLOTS
    (*tp->tp_free)(o);
    #else
    {
      freefunc tp_free = (freefunc)PyType_GetSlot(tp, Py_tp_free);
      if (tp_free) tp_free(o);
    }
    #endif
    #if CYTHON_USE_TYPE_SPECS
    Py_DECREF(tp);
    #endif
  }
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC *)o;
  {
    e = __Pyx_call_type_traverse(o, 1, v, a);
    if (e) return e;
  }
  if (p->__pyx_v_i) {
    e = (*v)(p->__pyx_v_i, a); if (e) return e;
  }
  if (p->__pyx_v_pt1) {
    e = (*v)(p->__pyx_v_pt1, a); if (e) return e;
  }
  if (p->__pyx_v_pt2) {
    e = (*v)(p->__pyx_v_pt2, a); if (e) return e;
  }
  if (p->__pyx_v_pt3) {
    e = (*v)(p->__pyx_v_pt3, a); if (e) return e;
  }
  if (p->__pyx_v_pt4) {
    e = (*v)(p->__pyx_v_pt4, a); if (e) return e;
  }
  if (p->__pyx_v_ts) {
    e = (*v)(p->__pyx_v_ts, a); if (e) return e;
  }
  if (p->__pyx_t_0) {
    e = (*v)(p->__pyx_t_0, a); if (e) return e;
  }
  return 0;
}
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC},
  {Py_tp_new, (void *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC},
  {0, 0},
};
static PyType_Spec __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC_spec = {
  "fontTools.misc.bezierTools.__pyx_scope_struct_3__splitCubicAtTC",
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC,
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC_slots,
};
#else

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.""__pyx_scope_struct_3__splitCubicAtTC", /*tp_name*/
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC, /*tp_dealloc*/
  0, /*tp_vectorcall_offset*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  0, /*tp_as_async*/
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  0, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if !CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if PY_VERSION_HEX >= 0x030d00A4
  0, /*tp_versions_used*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr > 0) & __PYX_CHECK_FINAL_TYPE_FOR_FREELISTS(t, __pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr))))
  {
    o = (PyObject*)__pyx_mstate_global->__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr[--__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr];
    #if CYTHON_USE_TYPE_SPECS
    Py_DECREF(Py_TYPE(o));
    #endif
    memset(o, 0, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr));
    #if CYTHON_COMPILING_IN_LIMITED_API
    (void) PyObject_Init(o, t);
    #else
    (void) PyObject_INIT(o, t);
    #endif
    PyObject_GC_Track(o);
  } else
  #endif
  {
    o = __Pyx_AllocateExtensionType(t, 1);
    if (unlikely(!o)) return 0;
  }
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr(PyObject *o) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_genexpr_arg_0);
  Py_CLEAR(p->__pyx_v_i);
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr < 8) & __PYX_CHECK_FINAL_TYPE_FOR_FREELISTS(Py_TYPE(o), __pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr))))
  {
    __pyx_mstate_global->__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr[__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr++] = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr *)o);
  } else
  #endif
  {
    PyTypeObject *tp = Py_TYPE(o);
    #if CYTHON_USE_TYPE_SLOTS
    (*tp->tp_free)(o);
    #else
    {
      freefunc tp_free = (freefunc)PyType_GetSlot(tp, Py_tp_free);
      if (tp_free) tp_free(o);
    }
    #endif
    #if CYTHON_USE_TYPE_SPECS
    Py_DECREF(tp);
    #endif
  }
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr *)o;
  {
    e = __Pyx_call_type_traverse(o, 1, v, a);
    if (e) return e;
  }
  if (p->__pyx_genexpr_arg_0) {
    e = (*v)(p->__pyx_genexpr_arg_0, a); if (e) return e;
  }
  if (p->__pyx_v_i) {
    e = (*v)(p->__pyx_v_i, a); if (e) return e;
  }
  return 0;
}
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr},
  {Py_tp_new, (void *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr},
  {0, 0},
};
static PyType_Spec __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr_spec = {
  "fontTools.misc.bezierTools.__pyx_scope_struct_4_genexpr",
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC,
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr_slots,
};
#else

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.""__pyx_scope_struct_4_genexpr", /*tp_name*/
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr, /*tp_dealloc*/
  0, /*tp_vectorcall_offset*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  0, /*tp_as_async*/
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  0, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if !CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if PY_VERSION_HEX >= 0x030d00A4
  0, /*tp_versions_used*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t > 0) & __PYX_CHECK_FINAL_TYPE_FOR_FREELISTS(t, __pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t))))
  {
    o = (PyObject*)__pyx_mstate_global->__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t[--__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t];
    #if CYTHON_USE_TYPE_SPECS
    Py_DECREF(Py_TYPE(o));
    #endif
    memset(o, 0, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t));
    #if CYTHON_COMPILING_IN_LIMITED_API
    (void) PyObject_Init(o, t);
    #else
    (void) PyObject_INIT(o, t);
    #endif
    PyObject_GC_Track(o);
  } else
  #endif
  {
    o = __Pyx_AllocateExtensionType(t, 1);
    if (unlikely(!o)) return 0;
  }
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t(PyObject *o) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_v_precision);
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t < 8) & __PYX_CHECK_FINAL_TYPE_FOR_FREELISTS(Py_TYPE(o), __pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t))))
  {
    __pyx_mstate_global->__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t[__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t++] = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *)o);
  } else
  #endif
  {
    PyTypeObject *tp = Py_TYPE(o);
    #if CYTHON_USE_TYPE_SLOTS
    (*tp->tp_free)(o);
    #else
    {
      freefunc tp_free = (freefunc)PyType_GetSlot(tp, Py_tp_free);
      if (tp_free) tp_free(o);
    }
    #endif
    #if CYTHON_USE_TYPE_SPECS
    Py_DECREF(tp);
    #endif
  }
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *)o;
  {
    e = __Pyx_call_type_traverse(o, 1, v, a);
    if (e) return e;
  }
  if (p->__pyx_v_precision) {
    e = (*v)(p->__pyx_v_precision, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *)o;
  tmp = ((PyObject*)p->__pyx_v_precision);
  p->__pyx_v_precision = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t},
  {Py_tp_clear, (void *)__pyx_tp_clear_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t},
  {Py_tp_new, (void *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t},
  {0, 0},
};
static PyType_Spec __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t_spec = {
  "fontTools.misc.bezierTools.__pyx_scope_struct_5__curve_curve_intersections_t",
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC,
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t_slots,
};
#else

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.""__pyx_scope_struct_5__curve_curve_intersections_t", /*tp_name*/
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t, /*tp_dealloc*/
  0, /*tp_vectorcall_offset*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  0, /*tp_as_async*/
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t, /*tp_traverse*/
  __pyx_tp_clear_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  0, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if !CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if PY_VERSION_HEX >= 0x030d00A4
  0, /*tp_versions_used*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr > 0) & __PYX_CHECK_FINAL_TYPE_FOR_FREELISTS(t, __pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr))))
  {
    o = (PyObject*)__pyx_mstate_global->__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr[--__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr];
    #if CYTHON_USE_TYPE_SPECS
    Py_DECREF(Py_TYPE(o));
    #endif
    memset(o, 0, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr));
    #if CYTHON_COMPILING_IN_LIMITED_API
    (void) PyObject_Init(o, t);
    #else
    (void) PyObject_INIT(o, t);
    #endif
    PyObject_GC_Track(o);
  } else
  #endif
  {
    o = __Pyx_AllocateExtensionType(t, 1);
    if (unlikely(!o)) return 0;
  }
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr(PyObject *o) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_genexpr_arg_0);
  Py_CLEAR(p->__pyx_v_p);
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr < 8) & __PYX_CHECK_FINAL_TYPE_FOR_FREELISTS(Py_TYPE(o), __pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr))))
  {
    __pyx_mstate_global->__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr[__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr++] = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr *)o);
  } else
  #endif
  {
    PyTypeObject *tp = Py_TYPE(o);
    #if CYTHON_USE_TYPE_SLOTS
    (*tp->tp_free)(o);
    #else
    {
      freefunc tp_free = (freefunc)PyType_GetSlot(tp, Py_tp_free);
      if (tp_free) tp_free(o);
    }
    #endif
    #if CYTHON_USE_TYPE_SPECS
    Py_DECREF(tp);
    #endif
  }
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr *)o;
  {
    e = __Pyx_call_type_traverse(o, 1, v, a);
    if (e) return e;
  }
  if (p->__pyx_genexpr_arg_0) {
    e = (*v)(p->__pyx_genexpr_arg_0, a); if (e) return e;
  }
  if (p->__pyx_v_p) {
    e = (*v)(p->__pyx_v_p, a); if (e) return e;
  }
  return 0;
}
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr},
  {Py_tp_new, (void *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr},
  {0, 0},
};
static PyType_Spec __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr_spec = {
  "fontTools.misc.bezierTools.__pyx_scope_struct_6_genexpr",
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC,
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr_slots,
};
#else

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.""__pyx_scope_struct_6_genexpr", /*tp_name*/
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr, /*tp_dealloc*/
  0, /*tp_vectorcall_offset*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  0, /*tp_as_async*/
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  0, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if !CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if PY_VERSION_HEX >= 0x030d00A4
  0, /*tp_versions_used*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr > 0) & __PYX_CHECK_FINAL_TYPE_FOR_FREELISTS(t, __pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr))))
  {
    o = (PyObject*)__pyx_mstate_global->__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr[--__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr];
    #if CYTHON_USE_TYPE_SPECS
    Py_DECREF(Py_TYPE(o));
    #endif
    memset(o, 0, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr));
    #if CYTHON_COMPILING_IN_LIMITED_API
    (void) PyObject_Init(o, t);
    #else
    (void) PyObject_INIT(o, t);
    #endif
    PyObject_GC_Track(o);
  } else
  #endif
  {
    o = __Pyx_AllocateExtensionType(t, 1);
    if (unlikely(!o)) return 0;
  }
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr(PyObject *o) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_genexpr_arg_0);
  Py_CLEAR(p->__pyx_v_x);
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr < 8) & __PYX_CHECK_FINAL_TYPE_FOR_FREELISTS(Py_TYPE(o), __pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr))))
  {
    __pyx_mstate_global->__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr[__pyx_mstate_global->__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr++] = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr *)o);
  } else
  #endif
  {
    PyTypeObject *tp = Py_TYPE(o);
    #if CYTHON_USE_TYPE_SLOTS
    (*tp->tp_free)(o);
    #else
    {
      freefunc tp_free = (freefunc)PyType_GetSlot(tp, Py_tp_free);
      if (tp_free) tp_free(o);
    }
    #endif
    #if CYTHON_USE_TYPE_SPECS
    Py_DECREF(tp);
    #endif
  }
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr *)o;
  {
    e = __Pyx_call_type_traverse(o, 1, v, a);
    if (e) return e;
  }
  if (p->__pyx_genexpr_arg_0) {
    e = (*v)(p->__pyx_genexpr_arg_0, a); if (e) return e;
  }
  if (p->__pyx_v_x) {
    e = (*v)(p->__pyx_v_x, a); if (e) return e;
  }
  return 0;
}
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr},
  {Py_tp_new, (void *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr},
  {0, 0},
};
static PyType_Spec __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr_spec = {
  "fontTools.misc.bezierTools.__pyx_scope_struct_7_genexpr",
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC,
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr_slots,
};
#else

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.""__pyx_scope_struct_7_genexpr", /*tp_name*/
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr, /*tp_dealloc*/
  0, /*tp_vectorcall_offset*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  0, /*tp_as_async*/
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  0, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if !CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if PY_VERSION_HEX >= 0x030d00A4
  0, /*tp_versions_used*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif

static PyMethodDef __pyx_methods[] = {
  {0, 0, 0, 0}
};
/* #### Code section: initfunc_declarations ### */
static CYTHON_SMALL_CODE int __Pyx_InitCachedBuiltins(__pyx_mstatetype *__pyx_mstate); /*proto*/
static CYTHON_SMALL_CODE int __Pyx_InitCachedConstants(__pyx_mstatetype *__pyx_mstate); /*proto*/
static CYTHON_SMALL_CODE int __Pyx_InitGlobals(void); /*proto*/
static CYTHON_SMALL_CODE int __Pyx_InitConstants(__pyx_mstatetype *__pyx_mstate); /*proto*/
static CYTHON_SMALL_CODE int __Pyx_modinit_global_init_code(__pyx_mstatetype *__pyx_mstate); /*proto*/
static CYTHON_SMALL_CODE int __Pyx_modinit_variable_export_code(__pyx_mstatetype *__pyx_mstate); /*proto*/
static CYTHON_SMALL_CODE int __Pyx_modinit_function_export_code(__pyx_mstatetype *__pyx_mstate); /*proto*/
static CYTHON_SMALL_CODE int __Pyx_modinit_type_init_code(__pyx_mstatetype *__pyx_mstate); /*proto*/
static CYTHON_SMALL_CODE int __Pyx_modinit_type_import_code(__pyx_mstatetype *__pyx_mstate); /*proto*/
static CYTHON_SMALL_CODE int __Pyx_modinit_variable_import_code(__pyx_mstatetype *__pyx_mstate); /*proto*/
static CYTHON_SMALL_CODE int __Pyx_modinit_function_import_code(__pyx_mstatetype *__pyx_mstate); /*proto*/
static CYTHON_SMALL_CODE int __Pyx_CreateCodeObjects(__pyx_mstatetype *__pyx_mstate); /*proto*/
/* #### Code section: init_module ### */

static int __Pyx_modinit_global_init_code(__pyx_mstatetype *__pyx_mstate) {
  __Pyx_RefNannyDeclarations
  CYTHON_UNUSED_VAR(__pyx_mstate);
  __Pyx_RefNannySetupContext("__Pyx_modinit_global_init_code", 0);
  /*--- Global init code ---*/
  __Pyx_RefNannyFinishContext();
  return 0;
}

static int __Pyx_modinit_variable_export_code(__pyx_mstatetype *__pyx_mstate) {
  __Pyx_RefNannyDeclarations
  CYTHON_UNUSED_VAR(__pyx_mstate);
  __Pyx_RefNannySetupContext("__Pyx_modinit_variable_export_code", 0);
  /*--- Variable export code ---*/
  __Pyx_RefNannyFinishContext();
  return 0;
}

static int __Pyx_modinit_function_export_code(__pyx_mstatetype *__pyx_mstate) {
  __Pyx_RefNannyDeclarations
  CYTHON_UNUSED_VAR(__pyx_mstate);
  __Pyx_RefNannySetupContext("__Pyx_modinit_function_export_code", 0);
  /*--- Function export code ---*/
  __Pyx_RefNannyFinishContext();
  return 0;
}

static int __Pyx_modinit_type_init_code(__pyx_mstatetype *__pyx_mstate) {
  __Pyx_RefNannyDeclarations
  CYTHON_UNUSED_VAR(__pyx_mstate);
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("__Pyx_modinit_type_init_code", 0);
  /*--- Type init code ---*/
  #if CYTHON_USE_TYPE_SPECS
  __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_defaults = (PyTypeObject *) __Pyx_PyType_FromModuleAndSpec(__pyx_m, &__pyx_type_9fontTools_4misc_11bezierTools___pyx_defaults_spec, NULL); if (unlikely(!__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_defaults)) __PYX_ERR(0, 815, __pyx_L1_error)
  if (__Pyx_fix_up_extension_type_from_spec(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_defaults_spec, __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_defaults) < (0)) __PYX_ERR(0, 815, __pyx_L1_error)
  #else
  __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_defaults = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_defaults;
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  #if !CYTHON_USE_TYPE_SPECS
  if (__Pyx_PyType_Ready(__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_defaults) < (0)) __PYX_ERR(0, 815, __pyx_L1_error)
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount((PyObject*)__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_defaults);
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_defaults->tp_dictoffset && __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_defaults->tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_defaults->tp_getattro = PyObject_GenericGetAttr;
  }
  #endif
  #if CYTHON_USE_TYPE_SPECS
  __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr = (PyTypeObject *) __Pyx_PyType_FromModuleAndSpec(__pyx_m, &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr_spec, NULL); if (unlikely(!__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr)) __PYX_ERR(0, 546, __pyx_L1_error)
  if (__Pyx_fix_up_extension_type_from_spec(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr_spec, __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr) < (0)) __PYX_ERR(0, 546, __pyx_L1_error)
  #else
  __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr;
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  #if !CYTHON_USE_TYPE_SPECS
  if (__Pyx_PyType_Ready(__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr) < (0)) __PYX_ERR(0, 546, __pyx_L1_error)
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount((PyObject*)__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr);
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr->tp_dictoffset && __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr->tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr->tp_getattro = PyObject_GenericGetAttr;
  }
  #endif
  #if CYTHON_USE_TYPE_SPECS
  __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr = (PyTypeObject *) __Pyx_PyType_FromModuleAndSpec(__pyx_m, &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr_spec, NULL); if (unlikely(!__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr)) __PYX_ERR(0, 583, __pyx_L1_error)
  if (__Pyx_fix_up_extension_type_from_spec(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr_spec, __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr) < (0)) __PYX_ERR(0, 583, __pyx_L1_error)
  #else
  __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr;
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  #if !CYTHON_USE_TYPE_SPECS
  if (__Pyx_PyType_Ready(__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr) < (0)) __PYX_ERR(0, 583, __pyx_L1_error)
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount((PyObject*)__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr);
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr->tp_dictoffset && __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr->tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr->tp_getattro = PyObject_GenericGetAttr;
  }
  #endif
  #if CYTHON_USE_TYPE_SPECS
  __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC = (PyTypeObject *) __Pyx_PyType_FromModuleAndSpec(__pyx_m, &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC_spec, NULL); if (unlikely(!__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC)) __PYX_ERR(0, 644, __pyx_L1_error)
  if (__Pyx_fix_up_extension_type_from_spec(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC_spec, __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC) < (0)) __PYX_ERR(0, 644, __pyx_L1_error)
  #else
  __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC;
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  #if !CYTHON_USE_TYPE_SPECS
  if (__Pyx_PyType_Ready(__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC) < (0)) __PYX_ERR(0, 644, __pyx_L1_error)
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount((PyObject*)__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC);
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC->tp_dictoffset && __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC->tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC->tp_getattro = PyObject_GenericGetAttr;
  }
  #endif
  #if CYTHON_USE_TYPE_SPECS
  __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC = (PyTypeObject *) __Pyx_PyType_FromModuleAndSpec(__pyx_m, &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC_spec, NULL); if (unlikely(!__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC)) __PYX_ERR(0, 770, __pyx_L1_error)
  if (__Pyx_fix_up_extension_type_from_spec(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC_spec, __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC) < (0)) __PYX_ERR(0, 770, __pyx_L1_error)
  #else
  __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC;
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  #if !CYTHON_USE_TYPE_SPECS
  if (__Pyx_PyType_Ready(__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC) < (0)) __PYX_ERR(0, 770, __pyx_L1_error)
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount((PyObject*)__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC);
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC->tp_dictoffset && __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC->tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC->tp_getattro = PyObject_GenericGetAttr;
  }
  #endif
  #if CYTHON_USE_TYPE_SPECS
  __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr = (PyTypeObject *) __Pyx_PyType_FromModuleAndSpec(__pyx_m, &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr_spec, NULL); if (unlikely(!__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr)) __PYX_ERR(0, 1252, __pyx_L1_error)
  if (__Pyx_fix_up_extension_type_from_spec(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr_spec, __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr) < (0)) __PYX_ERR(0, 1252, __pyx_L1_error)
  #else
  __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr;
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  #if !CYTHON_USE_TYPE_SPECS
  if (__Pyx_PyType_Ready(__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr) < (0)) __PYX_ERR(0, 1252, __pyx_L1_error)
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount((PyObject*)__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr);
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr->tp_dictoffset && __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr->tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr->tp_getattro = PyObject_GenericGetAttr;
  }
  #endif
  #if CYTHON_USE_TYPE_SPECS
  __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t = (PyTypeObject *) __Pyx_PyType_FromModuleAndSpec(__pyx_m, &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t_spec, NULL); if (unlikely(!__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t)) __PYX_ERR(0, 1313, __pyx_L1_error)
  if (__Pyx_fix_up_extension_type_from_spec(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t_spec, __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t) < (0)) __PYX_ERR(0, 1313, __pyx_L1_error)
  #else
  __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t;
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  #if !CYTHON_USE_TYPE_SPECS
  if (__Pyx_PyType_Ready(__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t) < (0)) __PYX_ERR(0, 1313, __pyx_L1_error)
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount((PyObject*)__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t);
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t->tp_dictoffset && __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t->tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t->tp_getattro = PyObject_GenericGetAttr;
  }
  #endif
  #if CYTHON_USE_TYPE_SPECS
  __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr = (PyTypeObject *) __Pyx_PyType_FromModuleAndSpec(__pyx_m, &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr_spec, NULL); if (unlikely(!__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr)) __PYX_ERR(0, 1382, __pyx_L1_error)
  if (__Pyx_fix_up_extension_type_from_spec(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr_spec, __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr) < (0)) __PYX_ERR(0, 1382, __pyx_L1_error)
  #else
  __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr;
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  #if !CYTHON_USE_TYPE_SPECS
  if (__Pyx_PyType_Ready(__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr) < (0)) __PYX_ERR(0, 1382, __pyx_L1_error)
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount((PyObject*)__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr);
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr->tp_dictoffset && __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr->tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr->tp_getattro = PyObject_GenericGetAttr;
  }
  #endif
  #if CYTHON_USE_TYPE_SPECS
  __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr = (PyTypeObject *) __Pyx_PyType_FromModuleAndSpec(__pyx_m, &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr_spec, NULL); if (unlikely(!__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr)) __PYX_ERR(0, 1485, __pyx_L1_error)
  if (__Pyx_fix_up_extension_type_from_spec(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr_spec, __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr) < (0)) __PYX_ERR(0, 1485, __pyx_L1_error)
  #else
  __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr;
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  #if !CYTHON_USE_TYPE_SPECS
  if (__Pyx_PyType_Ready(__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr) < (0)) __PYX_ERR(0, 1485, __pyx_L1_error)
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount((PyObject*)__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr);
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr->tp_dictoffset && __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr->tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_mstate->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr->tp_getattro = PyObject_GenericGetAttr;
  }
  #endif
  __Pyx_RefNannyFinishContext();
  return 0;
  __pyx_L1_error:;
  __Pyx_RefNannyFinishContext();
  return -1;
}

static int __Pyx_modinit_type_import_code(__pyx_mstatetype *__pyx_mstate) {
  __Pyx_RefNannyDeclarations
  CYTHON_UNUSED_VAR(__pyx_mstate);
  __Pyx_RefNannySetupContext("__Pyx_modinit_type_import_code", 0);
  /*--- Type import code ---*/
  __Pyx_RefNannyFinishContext();
  return 0;
}

static int __Pyx_modinit_variable_import_code(__pyx_mstatetype *__pyx_mstate) {
  __Pyx_RefNannyDeclarations
  CYTHON_UNUSED_VAR(__pyx_mstate);
  __Pyx_RefNannySetupContext("__Pyx_modinit_variable_import_code", 0);
  /*--- Variable import code ---*/
  __Pyx_RefNannyFinishContext();
  return 0;
}

static int __Pyx_modinit_function_import_code(__pyx_mstatetype *__pyx_mstate) {
  __Pyx_RefNannyDeclarations
  CYTHON_UNUSED_VAR(__pyx_mstate);
  __Pyx_RefNannySetupContext("__Pyx_modinit_function_import_code", 0);
  /*--- Function import code ---*/
  __Pyx_RefNannyFinishContext();
  return 0;
}

#if CYTHON_PEP489_MULTI_PHASE_INIT
static PyObject* __pyx_pymod_create(PyObject *spec, PyModuleDef *def); /*proto*/
static int __pyx_pymod_exec_bezierTools(PyObject* module); /*proto*/
static PyModuleDef_Slot __pyx_moduledef_slots[] = {
  {Py_mod_create, (void*)__pyx_pymod_create},
  {Py_mod_exec, (void*)__pyx_pymod_exec_bezierTools},
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
  {Py_mod_gil, __Pyx_FREETHREADING_COMPATIBLE},
  #endif
  #if PY_VERSION_HEX >= 0x030C0000 && CYTHON_USE_MODULE_STATE
  {Py_mod_multiple_interpreters, Py_MOD_MULTIPLE_INTERPRETERS_NOT_SUPPORTED},
  #endif
  {0, NULL}
};
#endif

#ifdef __cplusplus
namespace {
  struct PyModuleDef __pyx_moduledef =
  #else
  static struct PyModuleDef __pyx_moduledef =
  #endif
  {
      PyModuleDef_HEAD_INIT,
      "bezierTools",
      __pyx_k_fontTools_misc_bezierTools_py_to, /* m_doc */
    #if CYTHON_USE_MODULE_STATE
      sizeof(__pyx_mstatetype), /* m_size */
    #else
      (CYTHON_PEP489_MULTI_PHASE_INIT) ? 0 : -1, /* m_size */
    #endif
      __pyx_methods /* m_methods */,
    #if CYTHON_PEP489_MULTI_PHASE_INIT
      __pyx_moduledef_slots, /* m_slots */
    #else
      NULL, /* m_reload */
    #endif
    #if CYTHON_USE_MODULE_STATE
      __pyx_m_traverse, /* m_traverse */
      __pyx_m_clear, /* m_clear */
      NULL /* m_free */
    #else
      NULL, /* m_traverse */
      NULL, /* m_clear */
      NULL /* m_free */
    #endif
  };
  #ifdef __cplusplus
} /* anonymous namespace */
#endif

/* PyModInitFuncType */
#ifndef CYTHON_NO_PYINIT_EXPORT
  #define __Pyx_PyMODINIT_FUNC PyMODINIT_FUNC
#else
  #ifdef __cplusplus
  #define __Pyx_PyMODINIT_FUNC extern "C" PyObject *
  #else
  #define __Pyx_PyMODINIT_FUNC PyObject *
  #endif
#endif

__Pyx_PyMODINIT_FUNC PyInit_bezierTools(void) CYTHON_SMALL_CODE; /*proto*/
__Pyx_PyMODINIT_FUNC PyInit_bezierTools(void)
#if CYTHON_PEP489_MULTI_PHASE_INIT
{
  return PyModuleDef_Init(&__pyx_moduledef);
}
/* ModuleCreationPEP489 */
#if CYTHON_COMPILING_IN_LIMITED_API && (__PYX_LIMITED_VERSION_HEX < 0x03090000\
      || ((defined(_WIN32) || defined(WIN32) || defined(MS_WINDOWS)) && __PYX_LIMITED_VERSION_HEX < 0x030A0000))
static PY_INT64_T __Pyx_GetCurrentInterpreterId(void) {
    {
        PyObject *module = PyImport_ImportModule("_interpreters"); // 3.13+ I think
        if (!module) {
            PyErr_Clear(); // just try the 3.8-3.12 version
            module = PyImport_ImportModule("_xxsubinterpreters");
            if (!module) goto bad;
        }
        PyObject *current = PyObject_CallMethod(module, "get_current", NULL);
        Py_DECREF(module);
        if (!current) goto bad;
        if (PyTuple_Check(current)) {
            PyObject *new_current = PySequence_GetItem(current, 0);
            Py_DECREF(current);
            current = new_current;
            if (!new_current) goto bad;
        }
        long long as_c_int = PyLong_AsLongLong(current);
        Py_DECREF(current);
        return as_c_int;
    }
  bad:
    PySys_WriteStderr("__Pyx_GetCurrentInterpreterId failed. Try setting the C define CYTHON_PEP489_MULTI_PHASE_INIT=0\n");
    return -1;
}
#endif
#if !CYTHON_USE_MODULE_STATE
static CYTHON_SMALL_CODE int __Pyx_check_single_interpreter(void) {
    static PY_INT64_T main_interpreter_id = -1;
#if CYTHON_COMPILING_IN_GRAAL && defined(GRAALPY_VERSION_NUM) && GRAALPY_VERSION_NUM > 0x19000000
    PY_INT64_T current_id = GraalPyInterpreterState_GetIDFromThreadState(PyThreadState_Get());
#elif CYTHON_COMPILING_IN_GRAAL
    PY_INT64_T current_id = PyInterpreterState_GetIDFromThreadState(PyThreadState_Get());
#elif CYTHON_COMPILING_IN_LIMITED_API && (__PYX_LIMITED_VERSION_HEX < 0x03090000\
      || ((defined(_WIN32) || defined(WIN32) || defined(MS_WINDOWS)) && __PYX_LIMITED_VERSION_HEX < 0x030A0000))
    PY_INT64_T current_id = __Pyx_GetCurrentInterpreterId();
#elif CYTHON_COMPILING_IN_LIMITED_API
    PY_INT64_T current_id = PyInterpreterState_GetID(PyInterpreterState_Get());
#else
    PY_INT64_T current_id = PyInterpreterState_GetID(PyThreadState_Get()->interp);
#endif
    if (unlikely(current_id == -1)) {
        return -1;
    }
    if (main_interpreter_id == -1) {
        main_interpreter_id = current_id;
        return 0;
    } else if (unlikely(main_interpreter_id != current_id)) {
        PyErr_SetString(
            PyExc_ImportError,
            "Interpreter change detected - this module can only be loaded into one interpreter per process.");
        return -1;
    }
    return 0;
}
#endif
static CYTHON_SMALL_CODE int __Pyx_copy_spec_to_module(PyObject *spec, PyObject *moddict, const char* from_name, const char* to_name, int allow_none)
{
    PyObject *value = PyObject_GetAttrString(spec, from_name);
    int result = 0;
    if (likely(value)) {
        if (allow_none || value != Py_None) {
            result = PyDict_SetItemString(moddict, to_name, value);
        }
        Py_DECREF(value);
    } else if (PyErr_ExceptionMatches(PyExc_AttributeError)) {
        PyErr_Clear();
    } else {
        result = -1;
    }
    return result;
}
static CYTHON_SMALL_CODE PyObject* __pyx_pymod_create(PyObject *spec, PyModuleDef *def) {
    PyObject *module = NULL, *moddict, *modname;
    CYTHON_UNUSED_VAR(def);
    #if !CYTHON_USE_MODULE_STATE
    if (__Pyx_check_single_interpreter())
        return NULL;
    #endif
    if (__pyx_m)
        return __Pyx_NewRef(__pyx_m);
    modname = PyObject_GetAttrString(spec, "name");
    if (unlikely(!modname)) goto bad;
    module = PyModule_NewObject(modname);
    Py_DECREF(modname);
    if (unlikely(!module)) goto bad;
    moddict = PyModule_GetDict(module);
    if (unlikely(!moddict)) goto bad;
    if (unlikely(__Pyx_copy_spec_to_module(spec, moddict, "loader", "__loader__", 1) < 0)) goto bad;
    if (unlikely(__Pyx_copy_spec_to_module(spec, moddict, "origin", "__file__", 1) < 0)) goto bad;
    if (unlikely(__Pyx_copy_spec_to_module(spec, moddict, "parent", "__package__", 1) < 0)) goto bad;
    if (unlikely(__Pyx_copy_spec_to_module(spec, moddict, "submodule_search_locations", "__path__", 0) < 0)) goto bad;
    return module;
bad:
    Py_XDECREF(module);
    return NULL;
}


static CYTHON_SMALL_CODE int __pyx_pymod_exec_bezierTools(PyObject *__pyx_pyinit_module)
#endif
{
  int stringtab_initialized = 0;
  #if CYTHON_USE_MODULE_STATE
  int pystate_addmodule_run = 0;
  #endif
  __pyx_mstatetype *__pyx_mstate = NULL;
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  Py_ssize_t __pyx_t_3;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  PyObject *__pyx_t_8 = NULL;
  size_t __pyx_t_9;
  int __pyx_t_10;
  PyObject *__pyx_t_11 = NULL;
  PyObject *__pyx_t_12 = NULL;
  PyObject *__pyx_t_13 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannyDeclarations
  #if CYTHON_PEP489_MULTI_PHASE_INIT
  if (__pyx_m) {
    if (__pyx_m == __pyx_pyinit_module) return 0;
    PyErr_SetString(PyExc_RuntimeError, "Module 'bezierTools' has already been imported. Re-initialisation is not supported.");
    return -1;
  }
  #else
  if (__pyx_m) return __Pyx_NewRef(__pyx_m);
  #endif
  /*--- Module creation code ---*/
  #if CYTHON_PEP489_MULTI_PHASE_INIT
  __pyx_t_1 = __pyx_pyinit_module;
  Py_INCREF(__pyx_t_1);
  #else
  __pyx_t_1 = PyModule_Create(&__pyx_moduledef); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1, __pyx_L1_error)
  #endif
  #if CYTHON_USE_MODULE_STATE
  {
    int add_module_result = __Pyx_State_AddModule(__pyx_t_1, &__pyx_moduledef);
    __pyx_t_1 = 0; /* transfer ownership from __pyx_t_1 to "bezierTools" pseudovariable */
    if (unlikely((add_module_result < 0))) __PYX_ERR(0, 1, __pyx_L1_error)
    pystate_addmodule_run = 1;
  }
  #else
  __pyx_m = __pyx_t_1;
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
  PyUnstable_Module_SetGIL(__pyx_m, Py_MOD_GIL_USED);
  #endif
  __pyx_mstate = __pyx_mstate_global;
  CYTHON_UNUSED_VAR(__pyx_t_1);
  __pyx_mstate->__pyx_d = PyModule_GetDict(__pyx_m); if (unlikely(!__pyx_mstate->__pyx_d)) __PYX_ERR(0, 1, __pyx_L1_error)
  Py_INCREF(__pyx_mstate->__pyx_d);
  __pyx_mstate->__pyx_b = __Pyx_PyImport_AddModuleRef(__Pyx_BUILTIN_MODULE_NAME); if (unlikely(!__pyx_mstate->__pyx_b)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_mstate->__pyx_cython_runtime = __Pyx_PyImport_AddModuleRef("cython_runtime"); if (unlikely(!__pyx_mstate->__pyx_cython_runtime)) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyObject_SetAttrString(__pyx_m, "__builtins__", __pyx_mstate->__pyx_b) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  /* ImportRefnannyAPI */
  #if CYTHON_REFNANNY
  __Pyx_RefNanny = __Pyx_RefNannyImportAPI("refnanny");
  if (!__Pyx_RefNanny) {
    PyErr_Clear();
    __Pyx_RefNanny = __Pyx_RefNannyImportAPI("Cython.Runtime.refnanny");
    if (!__Pyx_RefNanny)
        Py_FatalError("failed to import 'refnanny' module");
  }
  #endif
  
__Pyx_RefNannySetupContext("PyInit_bezierTools", 0);
  __Pyx_init_runtime_version();
  if (__Pyx_check_binary_version(__PYX_LIMITED_VERSION_HEX, __Pyx_get_runtime_version(), CYTHON_COMPILING_IN_LIMITED_API) < (0)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_mstate->__pyx_empty_tuple = PyTuple_New(0); if (unlikely(!__pyx_mstate->__pyx_empty_tuple)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_mstate->__pyx_empty_bytes = PyBytes_FromStringAndSize("", 0); if (unlikely(!__pyx_mstate->__pyx_empty_bytes)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_mstate->__pyx_empty_unicode = PyUnicode_FromStringAndSize("", 0); if (unlikely(!__pyx_mstate->__pyx_empty_unicode)) __PYX_ERR(0, 1, __pyx_L1_error)
  /*--- Library function declarations ---*/
  /*--- Initialize various global constants etc. ---*/
  if (__Pyx_InitConstants(__pyx_mstate) < (0)) __PYX_ERR(0, 1, __pyx_L1_error)
  stringtab_initialized = 1;
  if (__Pyx_InitGlobals() < (0)) __PYX_ERR(0, 1, __pyx_L1_error)
  if (__pyx_module_is_main_fontTools__misc__bezierTools) {
    if (PyObject_SetAttr(__pyx_m, __pyx_mstate_global->__pyx_n_u_name, __pyx_mstate_global->__pyx_n_u_main) < (0)) __PYX_ERR(0, 1, __pyx_L1_error)
  }
  {
    PyObject *modules = PyImport_GetModuleDict(); if (unlikely(!modules)) __PYX_ERR(0, 1, __pyx_L1_error)
    if (!PyDict_GetItemString(modules, "fontTools.misc.bezierTools")) {
      if (unlikely((PyDict_SetItemString(modules, "fontTools.misc.bezierTools", __pyx_m) < 0))) __PYX_ERR(0, 1, __pyx_L1_error)
    }
  }
  /*--- Builtin init code ---*/
  if (__Pyx_InitCachedBuiltins(__pyx_mstate) < (0)) __PYX_ERR(0, 1, __pyx_L1_error)
  /*--- Constants init code ---*/
  if (__Pyx_InitCachedConstants(__pyx_mstate) < (0)) __PYX_ERR(0, 1, __pyx_L1_error)
  if (__Pyx_CreateCodeObjects(__pyx_mstate) < (0)) __PYX_ERR(0, 1, __pyx_L1_error)
  /*--- Global type/function init code ---*/
  (void)__Pyx_modinit_global_init_code(__pyx_mstate);
  (void)__Pyx_modinit_variable_export_code(__pyx_mstate);
  (void)__Pyx_modinit_function_export_code(__pyx_mstate);
  if (unlikely((__Pyx_modinit_type_init_code(__pyx_mstate) < 0))) __PYX_ERR(0, 1, __pyx_L1_error)
  (void)__Pyx_modinit_type_import_code(__pyx_mstate);
  (void)__Pyx_modinit_variable_import_code(__pyx_mstate);
  (void)__Pyx_modinit_function_import_code(__pyx_mstate);
  /*--- Execution code ---*/

  /* "fontTools/misc/bezierTools.py":5
 * """
 * 
 * from fontTools.misc.arrayTools import calcBounds, sectRect, rectArea             # <<<<<<<<<<<<<<
 * from fontTools.misc.transform import Identity
 * import math
*/
  {
    PyObject* const __pyx_imported_names[] = {__pyx_mstate_global->__pyx_n_u_calcBounds,__pyx_mstate_global->__pyx_n_u_sectRect,__pyx_mstate_global->__pyx_n_u_rectArea};
    __pyx_t_1 = __Pyx_Import(__pyx_mstate_global->__pyx_n_u_fontTools_misc_arrayTools, __pyx_imported_names, 3, NULL, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 5, __pyx_L1_error)
  }
  __pyx_t_2 = __pyx_t_1;
  __Pyx_GOTREF(__pyx_t_2);
  {
    PyObject* const __pyx_imported_names[] = {__pyx_mstate_global->__pyx_n_u_calcBounds,__pyx_mstate_global->__pyx_n_u_sectRect,__pyx_mstate_global->__pyx_n_u_rectArea};
    for (__pyx_t_3=0; __pyx_t_3 < 3; __pyx_t_3++) {
      __pyx_t_4 = __Pyx_ImportFrom(__pyx_t_2, __pyx_imported_names[__pyx_t_3]); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 5, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_4);
      if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_imported_names[__pyx_t_3], __pyx_t_4) < (0)) __PYX_ERR(0, 5, __pyx_L1_error)
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    }
  }
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":6
 * 
 * from fontTools.misc.arrayTools import calcBounds, sectRect, rectArea
 * from fontTools.misc.transform import Identity             # <<<<<<<<<<<<<<
 * import math
 * from collections import namedtuple
*/
  {
    PyObject* const __pyx_imported_names[] = {__pyx_mstate_global->__pyx_n_u_Identity};
    __pyx_t_1 = __Pyx_Import(__pyx_mstate_global->__pyx_n_u_fontTools_misc_transform, __pyx_imported_names, 1, NULL, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 6, __pyx_L1_error)
  }
  __pyx_t_2 = __pyx_t_1;
  __Pyx_GOTREF(__pyx_t_2);
  {
    PyObject* const __pyx_imported_names[] = {__pyx_mstate_global->__pyx_n_u_Identity};
    __pyx_t_3 = 0; {
      __pyx_t_4 = __Pyx_ImportFrom(__pyx_t_2, __pyx_imported_names[__pyx_t_3]); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 6, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_4);
      if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_imported_names[__pyx_t_3], __pyx_t_4) < (0)) __PYX_ERR(0, 6, __pyx_L1_error)
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    }
  }
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":7
 * from fontTools.misc.arrayTools import calcBounds, sectRect, rectArea
 * from fontTools.misc.transform import Identity
 * import math             # <<<<<<<<<<<<<<
 * from collections import namedtuple
 * 
*/
  __pyx_t_1 = __Pyx_Import(__pyx_mstate_global->__pyx_n_u_math, 0, 0, NULL, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 7, __pyx_L1_error)
  __pyx_t_2 = __pyx_t_1;
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_math, __pyx_t_2) < (0)) __PYX_ERR(0, 7, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":8
 * from fontTools.misc.transform import Identity
 * import math
 * from collections import namedtuple             # <<<<<<<<<<<<<<
 * 
 * try:
*/
  {
    PyObject* const __pyx_imported_names[] = {__pyx_mstate_global->__pyx_n_u_namedtuple};
    __pyx_t_1 = __Pyx_Import(__pyx_mstate_global->__pyx_n_u_collections, __pyx_imported_names, 1, NULL, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 8, __pyx_L1_error)
  }
  __pyx_t_2 = __pyx_t_1;
  __Pyx_GOTREF(__pyx_t_2);
  {
    PyObject* const __pyx_imported_names[] = {__pyx_mstate_global->__pyx_n_u_namedtuple};
    __pyx_t_3 = 0; {
      __pyx_t_4 = __Pyx_ImportFrom(__pyx_t_2, __pyx_imported_names[__pyx_t_3]); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 8, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_4);
      if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_imported_names[__pyx_t_3], __pyx_t_4) < (0)) __PYX_ERR(0, 8, __pyx_L1_error)
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    }
  }
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":10
 * from collections import namedtuple
 * 
 * try:             # <<<<<<<<<<<<<<
 *     import cython
 * except (AttributeError, ImportError):
*/
  {
    (void)__pyx_t_1; (void)__pyx_t_5; (void)__pyx_t_6; /* mark used */
    /*try:*/ {

      /* "fontTools/misc/bezierTools.py":11
 * 
 * try:
 *     import cython             # <<<<<<<<<<<<<<
 * except (AttributeError, ImportError):
 *     # if cython not installed, use mock module with no-op decorators and types
*/
    }
  }

  /* "fontTools/misc/bezierTools.py":15
 *     # if cython not installed, use mock module with no-op decorators and types
 *     from fontTools.misc import cython
 * COMPILED = cython.compiled             # <<<<<<<<<<<<<<
 * 
 * 
*/
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_COMPILED, Py_True) < (0)) __PYX_ERR(0, 15, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":18
 * 
 * 
 * EPSILON = 1e-9             # <<<<<<<<<<<<<<
 * 
 * 
*/
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_EPSILON, __pyx_mstate_global->__pyx_float_1eneg_9) < (0)) __PYX_ERR(0, 18, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":21
 * 
 * 
 * Intersection = namedtuple("Intersection", ["pt", "t1", "t2"])             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_t_4 = NULL;
  __Pyx_GetModuleGlobalName(__pyx_t_7, __pyx_mstate_global->__pyx_n_u_namedtuple); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 21, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __pyx_t_8 = __Pyx_PyList_Pack(3, __pyx_mstate_global->__pyx_n_u_pt, __pyx_mstate_global->__pyx_n_u_t1, __pyx_mstate_global->__pyx_n_u_t2); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 21, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_8);
  __pyx_t_9 = 1;
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_4, __pyx_mstate_global->__pyx_n_u_Intersection, __pyx_t_8};
    __pyx_t_2 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_7, __pyx_callargs+__pyx_t_9, (3-__pyx_t_9) | (__pyx_t_9*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
    __Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 21, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
  }
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_Intersection, __pyx_t_2) < (0)) __PYX_ERR(0, 21, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":24
 * 
 * 
 * __all__ = [             # <<<<<<<<<<<<<<
 *     "approximateCubicArcLength",
 *     "approximateCubicArcLengthC",
*/
  __pyx_t_2 = __Pyx_PyList_Pack(28, __pyx_mstate_global->__pyx_n_u_approximateCubicArcLength, __pyx_mstate_global->__pyx_n_u_approximateCubicArcLengthC, __pyx_mstate_global->__pyx_n_u_approximateQuadraticArcLength, __pyx_mstate_global->__pyx_n_u_approximateQuadraticArcLengthC, __pyx_mstate_global->__pyx_n_u_calcCubicArcLength, __pyx_mstate_global->__pyx_n_u_calcCubicArcLengthC, __pyx_mstate_global->__pyx_n_u_calcQuadraticArcLength, __pyx_mstate_global->__pyx_n_u_calcQuadraticArcLengthC, __pyx_mstate_global->__pyx_n_u_calcCubicBounds, __pyx_mstate_global->__pyx_n_u_calcQuadraticBounds, __pyx_mstate_global->__pyx_n_u_splitLine, __pyx_mstate_global->__pyx_n_u_splitQuadratic, __pyx_mstate_global->__pyx_n_u_splitCubic, __pyx_mstate_global->__pyx_n_u_splitQuadraticAtT_2, __pyx_mstate_global->__pyx_n_u_splitCubicAtT_2, __pyx_mstate_global->__pyx_n_u_splitCubicAtTC, __pyx_mstate_global->__pyx_n_u_splitCubicIntoTwoAtTC, __pyx_mstate_global->__pyx_n_u_solveQuadratic, __pyx_mstate_global->__pyx_n_u_solveCubic, __pyx_mstate_global->__pyx_n_u_quadraticPointAtT, __pyx_mstate_global->__pyx_n_u_cubicPointAtT, __pyx_mstate_global->__pyx_n_u_cubicPointAtTC, __pyx_mstate_global->__pyx_n_u_linePointAtT, __pyx_mstate_global->__pyx_n_u_segmentPointAtT, __pyx_mstate_global->__pyx_n_u_lineLineIntersections, __pyx_mstate_global->__pyx_n_u_curveLineIntersections, __pyx_mstate_global->__pyx_n_u_curveCurveIntersections, __pyx_mstate_global->__pyx_n_u_segmentSegmentIntersections); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 24, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_all, __pyx_t_2) < (0)) __PYX_ERR(0, 24, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":56
 * 
 * 
 * def calcCubicArcLength(pt1, pt2, pt3, pt4, tolerance=0.005):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a cubic Bezier segment.
 * 
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_1calcCubicArcLength, 0, __pyx_mstate_global->__pyx_n_u_calcCubicArcLength, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[9])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 56, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  __Pyx_CyFunction_SetDefaultsTuple(__pyx_t_2, __pyx_mstate_global->__pyx_tuple[2]);
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_calcCubicArcLength, __pyx_t_2) < (0)) __PYX_ERR(0, 56, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":75
 * 
 * 
 * def _split_cubic_into_two(p0, p1, p2, p3):             # <<<<<<<<<<<<<<
 *     mid = (p0 + 3 * (p1 + p2) + p3) * 0.125
 *     deriv3 = (p3 + p2 - p1 - p0) * 0.125
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_3_split_cubic_into_two, 0, __pyx_mstate_global->__pyx_n_u_split_cubic_into_two, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[10])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 75, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_split_cubic_into_two, __pyx_t_2) < (0)) __PYX_ERR(0, 75, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":84
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     p0=cython.complex,
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_5_calcCubicArcLengthCRecurse, 0, __pyx_mstate_global->__pyx_n_u_calcCubicArcLengthCRecurse, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[11])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 84, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_calcCubicArcLengthCRecurse, __pyx_t_2) < (0)) __PYX_ERR(0, 84, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":115
 *     mult=cython.double,
 * )
 * def calcCubicArcLengthC(pt1, pt2, pt3, pt4, tolerance=0.005):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a cubic Bezier segment.
 * 
*/
  __pyx_t_2 = PyFloat_FromDouble(((double)0.005)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 115, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);

  /* "fontTools/misc/bezierTools.py":104
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
*/
  __pyx_t_7 = PyTuple_Pack(1, __pyx_t_2); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 104, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_7calcCubicArcLengthC, 0, __pyx_mstate_global->__pyx_n_u_calcCubicArcLengthC, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[12])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 104, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  __Pyx_CyFunction_SetDefaultsTuple(__pyx_t_2, __pyx_t_7);
  __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_calcCubicArcLengthC, __pyx_t_2) < (0)) __PYX_ERR(0, 104, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":129
 * 
 * 
 * epsilonDigits = 6             # <<<<<<<<<<<<<<
 * epsilon = 1e-10
 * 
*/
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_epsilonDigits, __pyx_mstate_global->__pyx_int_6) < (0)) __PYX_ERR(0, 129, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":130
 * 
 * epsilonDigits = 6
 * epsilon = 1e-10             # <<<<<<<<<<<<<<
 * 
 * 
*/
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_epsilon, __pyx_mstate_global->__pyx_float_1eneg_10) < (0)) __PYX_ERR(0, 130, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":151
 * 
 * 
 * def calcQuadraticArcLength(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a quadratic Bezier segment.
 * 
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_9calcQuadraticArcLength, 0, __pyx_mstate_global->__pyx_n_u_calcQuadraticArcLength, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[13])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 151, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_calcQuadraticArcLength, __pyx_t_2) < (0)) __PYX_ERR(0, 151, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":186
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_11calcQuadraticArcLengthC, 0, __pyx_mstate_global->__pyx_n_u_calcQuadraticArcLengthC, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[14])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 186, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_calcQuadraticArcLengthC, __pyx_t_2) < (0)) __PYX_ERR(0, 186, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":237
 * 
 * 
 * def approximateQuadraticArcLength(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a quadratic Bezier segment.
 * 
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_13approximateQuadraticArcLength, 0, __pyx_mstate_global->__pyx_n_u_approximateQuadraticArcLength, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[15])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 237, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_approximateQuadraticArcLength, __pyx_t_2) < (0)) __PYX_ERR(0, 237, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":254
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_15approximateQuadraticArcLengthC, 0, __pyx_mstate_global->__pyx_n_u_approximateQuadraticArcLengthC, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[16])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 254, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_approximateQuadraticArcLengthC, __pyx_t_2) < (0)) __PYX_ERR(0, 254, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":298
 * 
 * 
 * def calcQuadraticBounds(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the bounding rectangle for a quadratic Bezier segment.
 * 
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_17calcQuadraticBounds, 0, __pyx_mstate_global->__pyx_n_u_calcQuadraticBounds, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[17])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 298, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_calcQuadraticBounds, __pyx_t_2) < (0)) __PYX_ERR(0, 298, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":332
 * 
 * 
 * def approximateCubicArcLength(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     """Approximates the arc length for a cubic Bezier segment.
 * 
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_19approximateCubicArcLength, 0, __pyx_mstate_global->__pyx_n_u_approximateCubicArcLength, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[18])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 332, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_approximateCubicArcLength, __pyx_t_2) < (0)) __PYX_ERR(0, 332, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":362
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_21approximateCubicArcLengthC, 0, __pyx_mstate_global->__pyx_n_u_approximateCubicArcLengthC, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[19])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 362, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_approximateCubicArcLengthC, __pyx_t_2) < (0)) __PYX_ERR(0, 362, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":412
 * 
 * 
 * def calcCubicBounds(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     """Calculates the bounding rectangle for a quadratic Bezier segment.
 * 
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_23calcCubicBounds, 0, __pyx_mstate_global->__pyx_n_u_calcCubicBounds, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[20])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 412, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_calcCubicBounds, __pyx_t_2) < (0)) __PYX_ERR(0, 412, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":450
 * 
 * 
 * def splitLine(pt1, pt2, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a line at a given coordinate.
 * 
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_25splitLine, 0, __pyx_mstate_global->__pyx_n_u_splitLine, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[21])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 450, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_splitLine, __pyx_t_2) < (0)) __PYX_ERR(0, 450, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":507
 * 
 * 
 * def splitQuadratic(pt1, pt2, pt3, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a quadratic Bezier curve at a given coordinate.
 * 
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_27splitQuadratic, 0, __pyx_mstate_global->__pyx_n_u_splitQuadratic, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[22])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 507, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_splitQuadratic, __pyx_t_2) < (0)) __PYX_ERR(0, 507, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":552
 * 
 * 
 * def splitCubic(pt1, pt2, pt3, pt4, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a cubic Bezier curve at a given coordinate.
 * 
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_29splitCubic, 0, __pyx_mstate_global->__pyx_n_u_splitCubic, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[23])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 552, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_splitCubic, __pyx_t_2) < (0)) __PYX_ERR(0, 552, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":589
 * 
 * 
 * def splitQuadraticAtT(pt1, pt2, pt3, *ts):             # <<<<<<<<<<<<<<
 *     """Split a quadratic Bezier curve at one or more values of t.
 * 
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_31splitQuadraticAtT, 0, __pyx_mstate_global->__pyx_n_u_splitQuadraticAtT_2, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[24])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 589, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_splitQuadraticAtT_2, __pyx_t_2) < (0)) __PYX_ERR(0, 589, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":613
 * 
 * 
 * def splitCubicAtT(pt1, pt2, pt3, pt4, *ts):             # <<<<<<<<<<<<<<
 *     """Split a cubic Bezier curve at one or more values of t.
 * 
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_33splitCubicAtT, 0, __pyx_mstate_global->__pyx_n_u_splitCubicAtT_2, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[25])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 613, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_splitCubicAtT_2, __pyx_t_2) < (0)) __PYX_ERR(0, 613, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":644
 * 
 * 
 * @cython.locals(             # <<<<<<<<<<<<<<
 *     pt1=cython.complex,
 *     pt2=cython.complex,
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_35splitCubicAtTC, 0, __pyx_mstate_global->__pyx_n_u_splitCubicAtTC, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[2])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 644, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_splitCubicAtTC, __pyx_t_2) < (0)) __PYX_ERR(0, 644, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":668
 * 
 * 
 * @cython.returns(cython.complex)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     t=cython.double,
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_38splitCubicIntoTwoAtTC, 0, __pyx_mstate_global->__pyx_n_u_splitCubicIntoTwoAtTC, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[26])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 668, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_splitCubicIntoTwoAtTC, __pyx_t_2) < (0)) __PYX_ERR(0, 668, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":708
 * 
 * 
 * def _splitQuadraticAtT(a, b, c, *ts):             # <<<<<<<<<<<<<<
 *     ts = list(ts)
 *     segments = []
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_40_splitQuadraticAtT, 0, __pyx_mstate_global->__pyx_n_u_splitQuadraticAtT, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[27])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 708, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_splitQuadraticAtT, __pyx_t_2) < (0)) __PYX_ERR(0, 708, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":735
 * 
 * 
 * def _splitCubicAtT(a, b, c, d, *ts):             # <<<<<<<<<<<<<<
 *     ts = list(ts)
 *     ts.insert(0, 0.0)
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_42_splitCubicAtT, 0, __pyx_mstate_global->__pyx_n_u_splitCubicAtT, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[28])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 735, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_splitCubicAtT, __pyx_t_2) < (0)) __PYX_ERR(0, 735, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":770
 * 
 * 
 * @cython.locals(             # <<<<<<<<<<<<<<
 *     a=cython.complex,
 *     b=cython.complex,
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_44_splitCubicAtTC, 0, __pyx_mstate_global->__pyx_n_u_splitCubicAtTC_2, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[3])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 770, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_splitCubicAtTC_2, __pyx_t_2) < (0)) __PYX_ERR(0, 770, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":812
 * #
 * 
 * from math import sqrt, acos, cos, pi             # <<<<<<<<<<<<<<
 * 
 * 
*/
  {
    PyObject* const __pyx_imported_names[] = {__pyx_mstate_global->__pyx_n_u_sqrt,__pyx_mstate_global->__pyx_n_u_acos,__pyx_mstate_global->__pyx_n_u_cos,__pyx_mstate_global->__pyx_n_u_pi};
    __pyx_t_6 = __Pyx_Import(__pyx_mstate_global->__pyx_n_u_math, __pyx_imported_names, 4, NULL, 0); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 812, __pyx_L1_error)
  }
  __pyx_t_2 = __pyx_t_6;
  __Pyx_GOTREF(__pyx_t_2);
  {
    PyObject* const __pyx_imported_names[] = {__pyx_mstate_global->__pyx_n_u_sqrt,__pyx_mstate_global->__pyx_n_u_acos,__pyx_mstate_global->__pyx_n_u_cos,__pyx_mstate_global->__pyx_n_u_pi};
    for (__pyx_t_3=0; __pyx_t_3 < 4; __pyx_t_3++) {
      __pyx_t_7 = __Pyx_ImportFrom(__pyx_t_2, __pyx_imported_names[__pyx_t_3]); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 812, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_7);
      if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_imported_names[__pyx_t_3], __pyx_t_7) < (0)) __PYX_ERR(0, 812, __pyx_L1_error)
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    }
  }
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":815
 * 
 * 
 * def solveQuadratic(a, b, c, sqrt=sqrt):             # <<<<<<<<<<<<<<
 *     """Solve a quadratic equation.
 * 
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_47solveQuadratic, 0, __pyx_mstate_global->__pyx_n_u_solveQuadratic, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[29])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 815, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (!__Pyx_CyFunction_InitDefaults(__pyx_t_2, __pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_defaults)) __PYX_ERR(0, 815, __pyx_L1_error)
  __Pyx_GetModuleGlobalName(__pyx_t_7, __pyx_mstate_global->__pyx_n_u_sqrt); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 815, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __Pyx_CyFunction_Defaults(struct __pyx_defaults, __pyx_t_2)->arg0 = __pyx_t_7;
  __Pyx_GIVEREF(__pyx_t_7);
  __pyx_t_7 = 0;
  __Pyx_CyFunction_SetDefaultsGetter(__pyx_t_2, __pyx_pf_9fontTools_4misc_11bezierTools_96__defaults__);
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_solveQuadratic, __pyx_t_2) < (0)) __PYX_ERR(0, 815, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":848
 * 
 * 
 * def solveCubic(a, b, c, d):             # <<<<<<<<<<<<<<
 *     """Solve a cubic equation.
 * 
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_49solveCubic, 0, __pyx_mstate_global->__pyx_n_u_solveCubic, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[30])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 848, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_solveCubic, __pyx_t_2) < (0)) __PYX_ERR(0, 848, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":945
 * 
 * 
 * def calcQuadraticParameters(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     x2, y2 = pt2
 *     x3, y3 = pt3
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_51calcQuadraticParameters, 0, __pyx_mstate_global->__pyx_n_u_calcQuadraticParameters, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[31])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 945, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_calcQuadraticParameters, __pyx_t_2) < (0)) __PYX_ERR(0, 945, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":956
 * 
 * 
 * def calcCubicParameters(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     x2, y2 = pt2
 *     x3, y3 = pt3
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_53calcCubicParameters, 0, __pyx_mstate_global->__pyx_n_u_calcCubicParameters, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[32])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 956, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_calcCubicParameters, __pyx_t_2) < (0)) __PYX_ERR(0, 956, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":988
 * 
 * 
 * def calcQuadraticPoints(a, b, c):             # <<<<<<<<<<<<<<
 *     ax, ay = a
 *     bx, by = b
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_55calcQuadraticPoints, 0, __pyx_mstate_global->__pyx_n_u_calcQuadraticPoints, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[33])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 988, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_calcQuadraticPoints, __pyx_t_2) < (0)) __PYX_ERR(0, 988, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1001
 * 
 * 
 * def calcCubicPoints(a, b, c, d):             # <<<<<<<<<<<<<<
 *     ax, ay = a
 *     bx, by = b
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_57calcCubicPoints, 0, __pyx_mstate_global->__pyx_n_u_calcCubicPoints, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[34])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1001, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_calcCubicPoints, __pyx_t_2) < (0)) __PYX_ERR(0, 1001, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1040
 * 
 * 
 * def linePointAtT(pt1, pt2, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a line.
 * 
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_59linePointAtT, 0, __pyx_mstate_global->__pyx_n_u_linePointAtT, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[35])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1040, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_linePointAtT, __pyx_t_2) < (0)) __PYX_ERR(0, 1040, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1053
 * 
 * 
 * def quadraticPointAtT(pt1, pt2, pt3, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a quadratic curve.
 * 
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_61quadraticPointAtT, 0, __pyx_mstate_global->__pyx_n_u_quadraticPointAtT, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[36])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1053, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_quadraticPointAtT, __pyx_t_2) < (0)) __PYX_ERR(0, 1053, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1068
 * 
 * 
 * def cubicPointAtT(pt1, pt2, pt3, pt4, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a cubic curve.
 * 
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_63cubicPointAtT, 0, __pyx_mstate_global->__pyx_n_u_cubicPointAtT, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[37])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1068, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_cubicPointAtT, __pyx_t_2) < (0)) __PYX_ERR(0, 1068, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1094
 * 
 * 
 * @cython.returns(cython.complex)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     t=cython.double,
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_65cubicPointAtTC, 0, __pyx_mstate_global->__pyx_n_u_cubicPointAtTC, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[38])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1094, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_cubicPointAtTC, __pyx_t_2) < (0)) __PYX_ERR(0, 1094, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1119
 * 
 * 
 * def segmentPointAtT(seg, t):             # <<<<<<<<<<<<<<
 *     if len(seg) == 2:
 *         return linePointAtT(*seg, t)
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_67segmentPointAtT, 0, __pyx_mstate_global->__pyx_n_u_segmentPointAtT, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[39])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1119, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_segmentPointAtT, __pyx_t_2) < (0)) __PYX_ERR(0, 1119, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1134
 * 
 * 
 * def _line_t_of_pt(s, e, pt):             # <<<<<<<<<<<<<<
 *     sx, sy = s
 *     ex, ey = e
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_69_line_t_of_pt, 0, __pyx_mstate_global->__pyx_n_u_line_t_of_pt, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[40])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1134, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_line_t_of_pt, __pyx_t_2) < (0)) __PYX_ERR(0, 1134, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1148
 * 
 * 
 * def _both_points_are_on_same_side_of_origin(a, b, origin):             # <<<<<<<<<<<<<<
 *     xDiff = (a[0] - origin[0]) * (b[0] - origin[0])
 *     yDiff = (a[1] - origin[1]) * (b[1] - origin[1])
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_71_both_points_are_on_same_side_of_origin, 0, __pyx_mstate_global->__pyx_n_u_both_points_are_on_same_side_of, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[41])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1148, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_both_points_are_on_same_side_of, __pyx_t_2) < (0)) __PYX_ERR(0, 1148, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1154
 * 
 * 
 * def lineLineIntersections(s1, e1, s2, e2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between two line segments.
 * 
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_73lineLineIntersections, 0, __pyx_mstate_global->__pyx_n_u_lineLineIntersections, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[42])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1154, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_lineLineIntersections, __pyx_t_2) < (0)) __PYX_ERR(0, 1154, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1232
 * 
 * 
 * def _alignment_transformation(segment):             # <<<<<<<<<<<<<<
 *     # Returns a transformation which aligns a segment horizontally at the
 *     # origin. Apply this transformation to curves and root-find to find
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_75_alignment_transformation, 0, __pyx_mstate_global->__pyx_n_u_alignment_transformation, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[43])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1232, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_alignment_transformation, __pyx_t_2) < (0)) __PYX_ERR(0, 1232, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1242
 * 
 * 
 * def _curve_line_intersections_t(curve, line):             # <<<<<<<<<<<<<<
 *     aligned_curve = _alignment_transformation(line).transformPoints(curve)
 *     if len(curve) == 3:
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_77_curve_line_intersections_t, 0, __pyx_mstate_global->__pyx_n_u_curve_line_intersections_t, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[44])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1242, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_curve_line_intersections_t, __pyx_t_2) < (0)) __PYX_ERR(0, 1242, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1255
 * 
 * 
 * def curveLineIntersections(curve, line):             # <<<<<<<<<<<<<<
 *     """Finds intersections between a curve and a line.
 * 
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_79curveLineIntersections, 0, __pyx_mstate_global->__pyx_n_u_curveLineIntersections, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[45])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1255, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_curveLineIntersections, __pyx_t_2) < (0)) __PYX_ERR(0, 1255, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1293
 * 
 * 
 * def _curve_bounds(c):             # <<<<<<<<<<<<<<
 *     if len(c) == 3:
 *         return calcQuadraticBounds(*c)
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_81_curve_bounds, 0, __pyx_mstate_global->__pyx_n_u_curve_bounds, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[46])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1293, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_curve_bounds, __pyx_t_2) < (0)) __PYX_ERR(0, 1293, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1301
 * 
 * 
 * def _split_segment_at_t(c, t):             # <<<<<<<<<<<<<<
 *     if len(c) == 2:
 *         s, e = c
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_83_split_segment_at_t, 0, __pyx_mstate_global->__pyx_n_u_split_segment_at_t, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[47])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1301, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_split_segment_at_t, __pyx_t_2) < (0)) __PYX_ERR(0, 1301, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1313
 * 
 * 
 * def _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *     curve1, curve2, precision=1e-3, range1=None, range2=None
 * ):
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_85_curve_curve_intersections_t, 0, __pyx_mstate_global->__pyx_n_u_curve_curve_intersections_t, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[48])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1313, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  __Pyx_CyFunction_SetDefaultsTuple(__pyx_t_2, __pyx_mstate_global->__pyx_tuple[3]);
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_curve_curve_intersections_t, __pyx_t_2) < (0)) __PYX_ERR(0, 1313, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1380
 * 
 * 
 * def _is_linelike(segment):             # <<<<<<<<<<<<<<
 *     maybeline = _alignment_transformation(segment).transformPoints(segment)
 *     return all(math.isclose(p[1], 0.0) for p in maybeline)
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_87_is_linelike, 0, __pyx_mstate_global->__pyx_n_u_is_linelike, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[49])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1380, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_is_linelike, __pyx_t_2) < (0)) __PYX_ERR(0, 1380, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1385
 * 
 * 
 * def curveCurveIntersections(curve1, curve2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between a curve and a curve.
 * 
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_89curveCurveIntersections, 0, __pyx_mstate_global->__pyx_n_u_curveCurveIntersections, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[50])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1385, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_curveCurveIntersections, __pyx_t_2) < (0)) __PYX_ERR(0, 1385, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1427
 * 
 * 
 * def segmentSegmentIntersections(seg1, seg2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between two segments.
 * 
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_91segmentSegmentIntersections, 0, __pyx_mstate_global->__pyx_n_u_segmentSegmentIntersections, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[51])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1427, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_segmentSegmentIntersections, __pyx_t_2) < (0)) __PYX_ERR(0, 1427, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1475
 * 
 * 
 * def _segmentrepr(obj):             # <<<<<<<<<<<<<<
 *     """
 *     >>> _segmentrepr([1, [2, 3], [], [[2, [3, 4], [0.1, 2.2]]]])
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_93_segmentrepr, 0, __pyx_mstate_global->__pyx_n_u_segmentrepr, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[52])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1475, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_segmentrepr, __pyx_t_2) < (0)) __PYX_ERR(0, 1475, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1488
 * 
 * 
 * def printSegments(segments):             # <<<<<<<<<<<<<<
 *     """Helper for the doctests, displaying each segment in a list of
 *     segments on a single line as a tuple.
*/
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_95printSegments, 0, __pyx_mstate_global->__pyx_n_u_printSegments, NULL, __pyx_mstate_global->__pyx_n_u_fontTools_misc_bezierTools, __pyx_mstate_global->__pyx_d, ((PyObject *)__pyx_mstate_global->__pyx_codeobj_tab[53])); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1488, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  PyUnstable_Object_EnableDeferredRefcount(__pyx_t_2);
  #endif
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_printSegments, __pyx_t_2) < (0)) __PYX_ERR(0, 1488, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1496
 * 
 * 
 * if __name__ == "__main__":             # <<<<<<<<<<<<<<
 *     import sys
 *     import doctest
*/
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_name); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1496, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_10 = (__Pyx_PyUnicode_Equals(__pyx_t_2, __pyx_mstate_global->__pyx_n_u_main, Py_EQ)); if (unlikely((__pyx_t_10 < 0))) __PYX_ERR(0, 1496, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  if (__pyx_t_10) {

    /* "fontTools/misc/bezierTools.py":1497
 * 
 * if __name__ == "__main__":
 *     import sys             # <<<<<<<<<<<<<<
 *     import doctest
 * 
*/
    __pyx_t_6 = __Pyx_Import(__pyx_mstate_global->__pyx_n_u_sys, 0, 0, NULL, 0); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1497, __pyx_L1_error)
    __pyx_t_2 = __pyx_t_6;
    __Pyx_GOTREF(__pyx_t_2);
    if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_sys, __pyx_t_2) < (0)) __PYX_ERR(0, 1497, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":1498
 * if __name__ == "__main__":
 *     import sys
 *     import doctest             # <<<<<<<<<<<<<<
 * 
 *     sys.exit(doctest.testmod().failed)
*/
    __pyx_t_6 = __Pyx_Import(__pyx_mstate_global->__pyx_n_u_doctest, 0, 0, NULL, 0); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1498, __pyx_L1_error)
    __pyx_t_2 = __pyx_t_6;
    __Pyx_GOTREF(__pyx_t_2);
    if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_doctest, __pyx_t_2) < (0)) __PYX_ERR(0, 1498, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":1500
 *     import doctest
 * 
 *     sys.exit(doctest.testmod().failed)             # <<<<<<<<<<<<<<
*/
    __pyx_t_7 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_8, __pyx_mstate_global->__pyx_n_u_sys); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1500, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __pyx_t_4 = __Pyx_PyObject_GetAttrStr(__pyx_t_8, __pyx_mstate_global->__pyx_n_u_exit); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1500, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __pyx_t_11 = NULL;
    __Pyx_GetModuleGlobalName(__pyx_t_12, __pyx_mstate_global->__pyx_n_u_doctest); if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 1500, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_12);
    __pyx_t_13 = __Pyx_PyObject_GetAttrStr(__pyx_t_12, __pyx_mstate_global->__pyx_n_u_testmod); if (unlikely(!__pyx_t_13)) __PYX_ERR(0, 1500, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_13);
    __Pyx_DECREF(__pyx_t_12); __pyx_t_12 = 0;
    __pyx_t_9 = 1;
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_11, NULL};
      __pyx_t_8 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_13, __pyx_callargs+__pyx_t_9, (1-__pyx_t_9) | (__pyx_t_9*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_11); __pyx_t_11 = 0;
      __Pyx_DECREF(__pyx_t_13); __pyx_t_13 = 0;
      if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1500, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_8);
    }
    __pyx_t_13 = __Pyx_PyObject_GetAttrStr(__pyx_t_8, __pyx_mstate_global->__pyx_n_u_failed); if (unlikely(!__pyx_t_13)) __PYX_ERR(0, 1500, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_13);
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __pyx_t_9 = 1;
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_7, __pyx_t_13};
      __pyx_t_2 = __Pyx_PyObject_FastCall((PyObject*)__pyx_t_4, __pyx_callargs+__pyx_t_9, (2-__pyx_t_9) | (__pyx_t_9*__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET));
      __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
      __Pyx_DECREF(__pyx_t_13); __pyx_t_13 = 0;
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1500, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
    }
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":1496
 * 
 * 
 * if __name__ == "__main__":             # <<<<<<<<<<<<<<
 *     import sys
 *     import doctest
*/
  }

  /* "fontTools/misc/bezierTools.py":1
 * # -*- coding: utf-8 -*-             # <<<<<<<<<<<<<<
 * """fontTools.misc.bezierTools.py -- tools for working with Bezier path segments.
 * """
*/
  __pyx_t_2 = __Pyx_PyDict_NewPresized(15); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_t_2, __pyx_mstate_global->__pyx_kp_u_calcQuadraticArcLength_line_151, __pyx_mstate_global->__pyx_kp_u_Calculates_the_arc_length_for_a) < (0)) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_2, __pyx_mstate_global->__pyx_kp_u_calcQuadraticBounds_line_298, __pyx_mstate_global->__pyx_kp_u_Calculates_the_bounding_rectangl) < (0)) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_2, __pyx_mstate_global->__pyx_kp_u_approximateCubicArcLength_line_3, __pyx_mstate_global->__pyx_kp_u_Approximates_the_arc_length_for) < (0)) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_2, __pyx_mstate_global->__pyx_kp_u_calcCubicBounds_line_412, __pyx_mstate_global->__pyx_kp_u_Calculates_the_bounding_rectangl_2) < (0)) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_2, __pyx_mstate_global->__pyx_kp_u_splitLine_line_450, __pyx_mstate_global->__pyx_kp_u_Split_a_line_at_a_given_coordina) < (0)) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_2, __pyx_mstate_global->__pyx_kp_u_splitQuadratic_line_507, __pyx_mstate_global->__pyx_kp_u_Split_a_quadratic_Bezier_curve_a) < (0)) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_2, __pyx_mstate_global->__pyx_kp_u_splitCubic_line_552, __pyx_mstate_global->__pyx_kp_u_Split_a_cubic_Bezier_curve_at_a) < (0)) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_2, __pyx_mstate_global->__pyx_kp_u_splitQuadraticAtT_line_589, __pyx_mstate_global->__pyx_kp_u_Split_a_quadratic_Bezier_curve_a_2) < (0)) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_2, __pyx_mstate_global->__pyx_kp_u_splitCubicAtT_line_613, __pyx_mstate_global->__pyx_kp_u_Split_a_cubic_Bezier_curve_at_on) < (0)) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_2, __pyx_mstate_global->__pyx_kp_u_solveCubic_line_848, __pyx_mstate_global->__pyx_kp_u_Solve_a_cubic_equation_Solves_a) < (0)) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_2, __pyx_mstate_global->__pyx_kp_u_lineLineIntersections_line_1154, __pyx_mstate_global->__pyx_kp_u_Finds_intersections_between_two) < (0)) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_2, __pyx_mstate_global->__pyx_kp_u_curveLineIntersections_line_1255, __pyx_mstate_global->__pyx_kp_u_Finds_intersections_between_a_cu) < (0)) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_2, __pyx_mstate_global->__pyx_kp_u_curveCurveIntersections_line_138, __pyx_mstate_global->__pyx_kp_u_Finds_intersections_between_a_cu_2) < (0)) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_2, __pyx_mstate_global->__pyx_kp_u_segmentSegmentIntersections_line, __pyx_mstate_global->__pyx_kp_u_Finds_intersections_between_two_2) < (0)) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_2, __pyx_mstate_global->__pyx_kp_u_segmentrepr_line_1475, __pyx_mstate_global->__pyx_kp_u_segmentrepr_1_2_3_2_3_4_0_1_2) < (0)) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_test, __pyx_t_2) < (0)) __PYX_ERR(0, 1, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /*--- Wrapped vars code ---*/

  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_XDECREF(__pyx_t_11);
  __Pyx_XDECREF(__pyx_t_12);
  __Pyx_XDECREF(__pyx_t_13);
  if (__pyx_m) {
    if (__pyx_mstate->__pyx_d && stringtab_initialized) {
      __Pyx_AddTraceback("init fontTools.misc.bezierTools", __pyx_clineno, __pyx_lineno, __pyx_filename);
    }
    #if !CYTHON_USE_MODULE_STATE
    Py_CLEAR(__pyx_m);
    #else
    Py_DECREF(__pyx_m);
    if (pystate_addmodule_run) {
      PyObject *tp, *value, *tb;
      PyErr_Fetch(&tp, &value, &tb);
      PyState_RemoveModule(&__pyx_moduledef);
      PyErr_Restore(tp, value, tb);
    }
    #endif
  } else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_ImportError, "init fontTools.misc.bezierTools");
  }
  __pyx_L0:;
  __Pyx_RefNannyFinishContext();
  #if CYTHON_PEP489_MULTI_PHASE_INIT
  return (__pyx_m != NULL) ? 0 : -1;
  #else
  return __pyx_m;
  #endif
}
/* #### Code section: pystring_table ### */
/* #### Code section: cached_builtins ### */

static int __Pyx_InitCachedBuiltins(__pyx_mstatetype *__pyx_mstate) {
  CYTHON_UNUSED_VAR(__pyx_mstate);
  __pyx_builtin_round = __Pyx_GetBuiltinName(__pyx_mstate->__pyx_n_u_round); if (!__pyx_builtin_round) __PYX_ERR(0, 906, __pyx_L1_error)
  __pyx_builtin_print = __Pyx_GetBuiltinName(__pyx_mstate->__pyx_n_u_print); if (!__pyx_builtin_print) __PYX_ERR(0, 1493, __pyx_L1_error)

  /* Cached unbound methods */
  __pyx_mstate->__pyx_umethod_PyDict_Type_items.type = (PyObject*)&PyDict_Type;
  __pyx_mstate->__pyx_umethod_PyDict_Type_items.method_name = &__pyx_mstate->__pyx_n_u_items;
  __pyx_mstate->__pyx_umethod_PyDict_Type_pop.type = (PyObject*)&PyDict_Type;
  __pyx_mstate->__pyx_umethod_PyDict_Type_pop.method_name = &__pyx_mstate->__pyx_n_u_pop;
  __pyx_mstate->__pyx_umethod_PyDict_Type_values.type = (PyObject*)&PyDict_Type;
  __pyx_mstate->__pyx_umethod_PyDict_Type_values.method_name = &__pyx_mstate->__pyx_n_u_values;
  return 0;
  __pyx_L1_error:;
  return -1;
}
/* #### Code section: cached_constants ### */

static int __Pyx_InitCachedConstants(__pyx_mstatetype *__pyx_mstate) {
  __Pyx_RefNannyDeclarations
  CYTHON_UNUSED_VAR(__pyx_mstate);
  __Pyx_RefNannySetupContext("__Pyx_InitCachedConstants", 0);

  /* "fontTools/misc/bezierTools.py":639
 *     # segment should always start at pt1 and the last segment should end at pt4,
 *     # so we set those values directly before returning.
 *     split[0] = (pt1, *split[0][1:])             # <<<<<<<<<<<<<<
 *     split[-1] = (*split[-1][:-1], pt4)
 *     return split
*/
  __pyx_mstate_global->__pyx_slice[0] = PySlice_New(__pyx_mstate_global->__pyx_int_1, Py_None, Py_None); if (unlikely(!__pyx_mstate_global->__pyx_slice[0])) __PYX_ERR(0, 639, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_mstate_global->__pyx_slice[0]);
  __Pyx_GIVEREF(__pyx_mstate_global->__pyx_slice[0]);

  /* "fontTools/misc/bezierTools.py":640
 *     # so we set those values directly before returning.
 *     split[0] = (pt1, *split[0][1:])
 *     split[-1] = (*split[-1][:-1], pt4)             # <<<<<<<<<<<<<<
 *     return split
 * 
*/
  __pyx_mstate_global->__pyx_slice[1] = PySlice_New(Py_None, __pyx_mstate_global->__pyx_int_neg_1, Py_None); if (unlikely(!__pyx_mstate_global->__pyx_slice[1])) __PYX_ERR(0, 640, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_mstate_global->__pyx_slice[1]);
  __Pyx_GIVEREF(__pyx_mstate_global->__pyx_slice[1]);

  /* "fontTools/misc/bezierTools.py":711
 *     ts = list(ts)
 *     segments = []
 *     ts.insert(0, 0.0)             # <<<<<<<<<<<<<<
 *     ts.append(1.0)
 *     ax, ay = a
*/
  __pyx_mstate_global->__pyx_tuple[0] = PyTuple_Pack(2, __pyx_mstate_global->__pyx_int_0, __pyx_mstate_global->__pyx_float_0_0); if (unlikely(!__pyx_mstate_global->__pyx_tuple[0])) __PYX_ERR(0, 711, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_mstate_global->__pyx_tuple[0]);
  __Pyx_GIVEREF(__pyx_mstate_global->__pyx_tuple[0]);

  /* "fontTools/misc/bezierTools.py":1320
 * 
 *     if not range1:
 *         range1 = (0.0, 1.0)             # <<<<<<<<<<<<<<
 *     if not range2:
 *         range2 = (0.0, 1.0)
*/
  __pyx_mstate_global->__pyx_tuple[1] = PyTuple_Pack(2, __pyx_mstate_global->__pyx_float_0_0, __pyx_mstate_global->__pyx_float_1_0); if (unlikely(!__pyx_mstate_global->__pyx_tuple[1])) __PYX_ERR(0, 1320, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_mstate_global->__pyx_tuple[1]);
  __Pyx_GIVEREF(__pyx_mstate_global->__pyx_tuple[1]);

  /* "fontTools/misc/bezierTools.py":56
 * 
 * 
 * def calcCubicArcLength(pt1, pt2, pt3, pt4, tolerance=0.005):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a cubic Bezier segment.
 * 
*/
  __pyx_mstate_global->__pyx_tuple[2] = PyTuple_Pack(1, ((PyObject*)__pyx_mstate_global->__pyx_float_0_005)); if (unlikely(!__pyx_mstate_global->__pyx_tuple[2])) __PYX_ERR(0, 56, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_mstate_global->__pyx_tuple[2]);
  __Pyx_GIVEREF(__pyx_mstate_global->__pyx_tuple[2]);

  /* "fontTools/misc/bezierTools.py":1313
 * 
 * 
 * def _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *     curve1, curve2, precision=1e-3, range1=None, range2=None
 * ):
*/
  __pyx_mstate_global->__pyx_tuple[3] = PyTuple_Pack(3, ((PyObject*)__pyx_mstate_global->__pyx_float_1eneg_3), Py_None, Py_None); if (unlikely(!__pyx_mstate_global->__pyx_tuple[3])) __PYX_ERR(0, 1313, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_mstate_global->__pyx_tuple[3]);
  __Pyx_GIVEREF(__pyx_mstate_global->__pyx_tuple[3]);
  #if CYTHON_IMMORTAL_CONSTANTS
  {
    PyObject **table = __pyx_mstate->__pyx_tuple;
    for (Py_ssize_t i=0; i<4; ++i) {
      #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
      #if PY_VERSION_HEX < 0x030E0000
      if (_Py_IsOwnedByCurrentThread(table[i]) && Py_REFCNT(table[i]) == 1)
      #else
      if (PyUnstable_Object_IsUniquelyReferenced(table[i]))
      #endif
      {
        Py_SET_REFCNT(table[i], _Py_IMMORTAL_REFCNT_LOCAL);
      }
      #else
      Py_SET_REFCNT(table[i], _Py_IMMORTAL_INITIAL_REFCNT);
      #endif
    }
  }
  #endif
  #if CYTHON_IMMORTAL_CONSTANTS
  {
    PyObject **table = __pyx_mstate->__pyx_slice;
    for (Py_ssize_t i=0; i<2; ++i) {
      #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
      #if PY_VERSION_HEX < 0x030E0000
      if (_Py_IsOwnedByCurrentThread(table[i]) && Py_REFCNT(table[i]) == 1)
      #else
      if (PyUnstable_Object_IsUniquelyReferenced(table[i]))
      #endif
      {
        Py_SET_REFCNT(table[i], _Py_IMMORTAL_REFCNT_LOCAL);
      }
      #else
      Py_SET_REFCNT(table[i], _Py_IMMORTAL_INITIAL_REFCNT);
      #endif
    }
  }
  #endif
  __Pyx_RefNannyFinishContext();
  return 0;
  __pyx_L1_error:;
  __Pyx_RefNannyFinishContext();
  return -1;
}
/* #### Code section: init_constants ### */

static int __Pyx_InitConstants(__pyx_mstatetype *__pyx_mstate) {
  CYTHON_UNUSED_VAR(__pyx_mstate);
  {
    const struct { const unsigned int length: 11; } index[] = {{2},{942},{1182},{542},{600},{52},{742},{779},{749},{1065},{33},{884},{1246},{768},{1293},{1557},{661},{20},{1},{1},{36},{26},{33},{30},{35},{34},{7},{6},{2},{2},{9},{33},{4},{39},{119},{24},{21},{24},{21},{20},{28},{25},{4},{6},{8},{8},{2},{7},{8},{12},{3},{20},{1},{2},{1},{2},{5},{1},{1},{2},{4},{3},{3},{2},{2},{4},{13},{25},{7},{5},{6},{25},{26},{29},{30},{4},{5},{18},{5},{2},{3},{3},{2},{3},{3},{1},{2},{3},{3},{39},{7},{7},{3},{2},{3},{2},{3},{1},{2},{3},{9},{3},{9},{3},{3},{3},{9},{3},{9},{10},{18},{19},{27},{15},{19},{15},{22},{23},{19},{23},{19},{17},{18},{5},{11},{3},{13},{14},{5},{6},{6},{23},{22},{13},{28},{46},{46},{27},{44},{2},{2},{1},{2},{2},{3},{3},{5},{7},{7},{6},{7},{2},{2},{1},{2},{3},{3},{2},{3},{3},{3},{7},{13},{2},{4},{2},{6},{25},{26},{24},{5},{8},{7},{4},{1},{6},{15},{13},{10},{12},{13},{12},{29},{7},{2},{5},{3},{8},{4},{5},{5},{21},{12},{6},{13},{8},{4},{9},{3},{5},{8},{10},{4},{1},{8},{10},{4},{3},{4},{4},{3},{8},{6},{1},{2},{2},{2},{2},{2},{8},{11},{6},{3},{9},{5},{13},{2},{3},{4},{4},{3},{4},{4},{3},{3},{2},{2},{17},{12},{1},{3},{3},{6},{6},{8},{5},{6},{5},{1},{2},{3},{3},{2},{3},{3},{5},{8},{4},{3},{4},{4},{7},{15},{27},{12},{29},{8},{4},{12},{10},{7},{7},{9},{10},{14},{5},{10},{14},{14},{15},{13},{21},{27},{9},{14},{18},{17},{31},{21},{19},{4},{5},{7},{2},{2},{3},{1},{2},{4},{4},{2},{8},{7},{5},{5},{9},{15},{9},{2},{3},{10},{13},{2},{2},{2},{2},{2},{5},{6},{5},{1},{2},{2},{2},{2},{2},{5},{6},{1},{2},{2},{2},{2},{5},{6},{205},{2},{204},{22},{42},{24},{87},{182},{141},{37},{127},{95},{40},{31},{106},{31},{61},{172},{23},{105},{94},{92},{151},{651},{404},{145},{155},{92},{102},{120},{386},{269},{87},{145},{244},{30},{252},{187},{43},{2},{2},{2},{179},{2},{568},{143},{104},{54},{80},{129},{38},{90}};
    #if (CYTHON_COMPRESS_STRINGS) == 2 /* compression: bz2 (6697 bytes) */
const char* const cstring = "BZh91AY&SYl\266\355\314\000\014\337\377\377\377\377\377\337\177\377\377\377\377\347\377\357\377\377\377\367\300@@@@@X@P@@@@\000@\000`\036\357wy}\267\276\357+\324<\356\327\336\032\273\271\336=\356\357{z\361f\301<\037z\311\\\362\341D\372\373\275\034\373\026o\226\357\273\236\236\236\200\367\261\362:)\356\364s\327N\215\034@M\203{\300( E\013\342\200 \037\tB \204\023\324\236M1\265\006\247\264\001\032jz\236\023\010S\324z\233ML#L\230A\210h\006\215\000\323M\000\006\202I\023\002i\2414\ni4\315I\345\033)\211\3523SF\236\246\200\315!\220\006\200h\000\320\000\014\232\000\r\002S@IE=#\322\206\020\306\232!\223LG\240\023?M)\244`@a\001\210\014\002i\202\006\231\006\023L\t4\222EOD\324\336\223D\364\323SOMM\030\232\033Q\210h\321\223cM\"6I\241\240\000i\241\240\311\221\351\032\000\000\010\244H\323F\232MS\304\365O\324\361'\222\203z\221\243\030\240\3204\315#@z@\000h\320\000d\003@\332\231\r\000$D!4\t\202b\t\204dL\3214\247\236\245\017\0014!\240\323@\003@\000\000\001\223@\000Q'P}Z\227U\331\231\320,Zu6\333\034f\334\304e\240\260f\276\343:v%\205U\023\374\333\257\333t\256E|\256w7w\311\213]^\261\276H7\377d\353\026\236\271\374\275\213m0\224\220J\222\232\n0\224:E\037\"!\245\304\230\240\247&\036\032\323\003u\207\004\201L\301$\224E\"\265\n\223\230\004\320\246\004\3479\314\377\241\354\263033@PP \261`\240\306AH\214\210\301`\n\002\222*\300TE\001`\260\006<\240\010J\210\252*\225B\265=\262\004Y!JR\222$\211X\227q/\374%e\343\022\024\305\006&!]\366HU4\306\010\301\001\245\2446\206\300\030\311\030\202\213\010\260\005\200\240\252\013\025d\016\021LGT\210\001m\"\006\254\314\303z]\311\370d\304\201\231\005\366\271\332\001\345C\236\000\374!y\352k\215\007r.\364\262\361\350\026l+Lt\346\222\347I\020C\314\204\005\316\263\236y\226\001|\252\211\370M\203\310\362qs\327\353\317|\013\330\345\301\237\014\217\"\213Fx\306r,8\003!GdPQf\326\340W\t\034\205\366\003\342\373\257AM\216l\245Q\321\003Cm\355\006\2771}\325\315\332\013\264\355@\306\220v\372\375t\027\247\317zW\336\001Pc\001\244\337\247\017HJ\273\301\203h\210\301w\207L4\304\355""\245\262\250\244Pp:\233O\026rtl\026c\001\246\226\177\005\365ld\265\220\330C\024\031\256\252W\332\301f\233\023HrH{\307%\026ET\245\031@\363\206H\232\211\257\223\252\244&\t\203(\262\240\273\221/}P\244a\202\243\035\264E\223M8\264\"\227RU\235J\257sh$[;\335\221\235A#$\202\251\031\010\262FH}\225\222\n\225=\004\325*\211\n\265Y\235\352\032\006\354\262\003<\267\022W\025\322\270]\\\214+T\252k\211\000E@\245\026\241\246x\342\225\212\225\014\252@\203\003\301\364\244\310]P\242\223\232\216UR<A>1\221\300}\235s\274\222I\002\230\225\311\002\210\367G3B\036\207Q\316\211\365\020\212A\n\260B;\220\262 \0206\222\230\016\257\347(\213\277\211\322\"\312/=v\350\252\364`\016D\004\003\202\"#\030\000\376\335\361W\267\317\213n\022l\025\001U!\014ci\374\220\001\360\271`\376\347\211\0317\237\021\355\310fg\014\227\202\326\006\330\263[R>\375vC\020\005\013S\320\272\353!B^\003\035f \375\002\241\2543\2535\342r\337\230\265\001\321@\302\230\271\262\203\222C~\010\242\276\370BJ\231\331\016\235\210\032\032\021\206\315\336\207\356\3518\264-1\201\240\332\363\200\373L\221\262\331\rz\005T\356\270/\336\266\027\000\305\213\204u\246\235p\312\214\317&\302\240Xn\006\206\354c\244\205\016\037|\305f\022\013\2637\036'\341!\242\333`\252\235\305\273\027\203\263`\300\030%aM\350\272\030\271\246\026\256;\016\261\203\215vz\236\242#K\225\316>\007\206\201\021\004\006L&L\215\311\223\226@1\202\204}i0\034\304G\315pb@\276\254-i\006\204j\2707\0030\0237\262\250\177w\026b\014\207\005Cx\361R\005q\026\030\"b\321^\304\342\340T3\014\205@\222\001\203\"\002\0245\245H\3032+\233R4\\\265O\235F\251\2646[+j\207v\370\312/\217\266Z\333\332\345\021\311F\023i\016gx5\204\356m\315\272g\013\252\"\244yF\312f\307\205\226\020\357\364;\236\026\301\221\021{\313\252\244TE\013\026\303\334\010\367\306\"\026)b\202\001D^\224\357\224\241EOP\367\341\351\330\013\026W22X\227\357\262\347\266h\314\365\r\267\347\231\232\276\314\371\026@\276\263\270\376^\233\225.\310d2\036\276<\377\007\320u\005!m\006\210\230\371K\224\006\023H\335\032\206\260\331\024\346\246\344\222\3541I""\315\024\201\023\nX\262\213\330\321\201\r\"\310\002\301a\005\204\322\022\211 \254\030\304\202\300PP\240\326E\017\013\271\244&2\010VB\034s\262\367|n\214\265\234<\374|\275\351\264*\236.\344\222\370A\335YqgNL\003*^\003\343K\007\035\001\352E@`\222N\222d\223\010pBL\006\202c\031B%\341\267$\210/v\272\033@\332\002\262\002\222\025\r\314.P\352}*Bj\013\246U\010\240\310a\316\007\010,?\317$J\362\"\325|)N\224v\267\372>\247g\262{>\316\265\345\322L\331\234\267\362L\322\361x\263x_\036w:\250f\205Lp\200\230\003,D\0242\276\232\001&\204\023\021\rs\367liXEEUE$\010\004\005Y\326\365\220s\262\344[\t\235\005\324m\263D\314\351\225\032\336n03v\261*B\2501\202\210\263q\036\201\224X\203m1\225\273&\031+f\223c\177\2357A\336\0336\366YZ\0023\351\237\005\t\207\240\3403(f\032E\342\300X\006\337\263\312\261}\304\022H\331-\214O\357\363\372\217:\361\347\362\375\030\233\023le\344r\266\327\324\351\032\244\260hou\275\2647\016\321`\203\330\031i\340\232\016s\337\275\343\321\347\332\232L-9\3557^r\232\035\271\366M\317<\260\222\332\215\263F\250B\004\030>!\004\250\201\332qL\224\032\202\344\333e\202{N\326\330l\311\032q^\323\367\272o\260\364\363L\314\037=E\251l\363\004A_\335\3768\356\257\270u\3719N \330\337\227i\255\267\300\302wjD\334ZT\030\250s^r\006\225\223H\245Z(\250\266P\215\021j\033\2317\032/xSyL\tL\224\320\233\230\006H\320(^v\363A\200\260\027O\"T\301\217\277D\312\005C\221\301\232\024\272\3032\230\342\"\333%\020\250\002\220-\220\2536\222\220\246(\r\206\033\204\3406\300\251\220u.\250\260\205BRw\020\224M\362\2070\2570\031q\220f$\324\2559\334\3530\263\3102]\361>l\221RZX\227\t\002fb\363\007'Z\221|a\014^\363\030\302e\3078~es\211\213\261\221#\003+\003\007\237\364\377\307s\323\337\33018plNv\211\324\351J2\r\202.\\\306\330\347\304\220\304\237\004\220y\303\004\022\001\206@2\316\354\342\231\267Q\374\272\307S\032\205!ye3wC\345\tTg\0243$\362D\233\022\004`\214g$\323\320\211\n\266d\315\t\035\017\220\306&7<\033\303\310l\363\376\211\341\207c\234xJ\236\033\036\016\275_;?\257\327\313+cIS\267\031JR\212-t\310\274\345U\021\220\030""\013\210b\016\316\004\3428x\211\221\307\0334\301\201\206\"\207Q&Lj\241\320\237\007\222E\002vS\ru\014\350\310\217\263\316\346\034\304l\352S\241\316\243V\223V\234\272Y\202G)\n\260BFF\265L\302\024\2461\026vl\320\232\352\004d@\236p)\3330 K,N\334\013O\267\006\300\311\222f!@\007\247\254\206\224\206p\354\350^\246n\201J\302\017\305\361-]\265M\332\362\360H^\265{\216\226\273`\360\245Sj\256\243\243\215\371\323\024\261bw\221\363g\315\216\316d1\3059\316t\240\025\001\022\232\010TD\227\341\360\325\n\311^\303kl\355\2059\372\273\034\332.)\245;\021sB\241\034\332\263\211\245aI\245r\001\310\264{\204/\333\204\267aI\342H\236z\274\276\351\315\314\031ey]\244e\014\037\221\2269\352\320(\371\341^\\\345\245Z\225'K2\244\327\276\030eD\t@IBT\225\tiQ\r\372\272\271T\364\362\365\320:jy\013\350t\026\260uZ\353\257'\243\003\n\343\325\324S\014\320\303-ns8^s\3415$W\\d\306rD\225yy\202\317'\036<x\243\212G\020\342\035\351\316\356\271~\217\017\010\274\305\323e\254\304\304b\3439\211\231J\270ss\023]\333\n\006\000\322\312\262\210\312\t[,g4\2477y\261\356\003\203H\304\274\201-\370\025+\t \2446\301\217&R\323%\320\265\211U\213H\244\006\300g\306Hu\3512\2622$S\001\316\234\353\206\022#B\317S\037\274\336\006\361o\336|\356\007W\265\344p\335\313y\313y\r\374X\334q(?\223\250E\271\0238\224\254\251X\006\030\034\253\t\365\241\027\3111\0260\246\025\253+ai\363\\\316k\231\315~.k\236\273y.\313n\020fq\236\374\r[\226\330\014l\034\225\010\306s\217\026a\344\214'\034h[\002\353K7$6\235\035r\201\014\253Q\014\251\224\225r\307\034\n\301\3630\234\030\203qG\036\007\r\341m\014\350\327\321\343e\224X4\314\300c\221=\036mlj\362&6\334a2\020\265\025 \2462\251\021\2529\316b\024}\211\031?p\265Z^%h;9\372\273\326\244b?SL\315F\304\322s(?\rd\234\324-9J\231-22\263\006l\205s\227\367~\220\227\243\300\022\312\256oN?*r2\324\034\rX\225\367\336>\237\032\331\r\215\025\333\305u\371}W\007W\227g{J\372`\203\276\007r1Qs\222(\030\026\005\003\2659p\240\026\365K\325\341*6i\006\266k\020\2741\022\204\243\342\210C\016\363\337\364\346B\324#0\252/p\367\025\256\263\313\216""\322\034\035\357R\351\304\325\004\307\360\247h\032\266@\246_i\231n>\230\030\260\211\202\301\"\010\010\211M\025\242\354dd\373\371\247\245\2719;0\036\343\016\370c\005'\010\253d`\243C\206N\0318@\341\207\014\3419G\201\236\251\013\366}\017\204\335>St\360]\370j\203P\321h\032\032z\262\242\344%@\242[P\350\212\\e\305\211\315O\"\231tVF.=\240<)B\220\365\275\177Y\353\207\2004Z\262a\231\216\266*\377<\347\200\205\276IHMQvu\251\353\344uF\030\334\377\2019s\376\035W}\317J:\365#\223\222\017\267\212=\271\217g\263\315\364\323\360\263\030\245\210\214\255\270C\023\216SK5\2001wv\007*UG\232\236erB\272\034\014j\305K\2124M\244z\271\240\206&\245\0341Vf \207\243^\307(3\344Z\"&\306\316\224\340\0031\000\317A.+\201\2707nE\355\222H\263\205\341+ \260X\025Q\277\035\371\357\013\010\3110\272\215w;\273t\234\216\357t\321\006\200h\221\2747\233\240y\227\336<D\302d\3050\231\261\343wW\361\245(\346`r\221\367uL\317\031A\220nL\335\355\300\336s\370\325&\362\2263\246\363\205D\340eT\337\216\223\202\022Z2u\024t\375\361U\324\354A\360\037F\357o\267\327\205\237\256\037\221\325\341]S\211\222\236\212z\352V\267\304\016\252=\332\224\240\262\347\204Z\205Q\016a\373\277#\246\254\355\306\233\274\374\376\030\330\307Nr\276\026Yr\262\013\213\314\271Y\245\207_\314\003F\022(\025\010\nar\201\3208\003\353\213\342P@\360^\337\334\225\355\214\233\031pp\363\0270\032\370qF+S\326C\232_\276U\374 \231\245\242\027-mS\t\212\346b\375\226E\332\027\353[\317\232\006\202\266\250\302`\026\363~z\2415~\201\342\300.\340s\177\235c\3542:y6\370#\276p\212\301\261\207\241`\300\022\305SS\2216\213\265r\350\326\202\004a\000E\340\346\200#4\360\300)\273\357eG\000iP!I\031\244\235\205.\332V^z\n\010:\272] \013\303\367\210\210\024X\225q2\202\023;\031\020$\210\226M+\"S\331\213\232|\037G\261\343\354+\255\355\270\370\311 \302\336\301\374\372z\240\nh;\201\323\020\354]\375\030j\032\026\303\250\222\342\002\346#z\016\002\340\270/\214\343\225#3\346C\022\206v\007!\237\233\322\365SUi\307n\010H\355cHyD&\224\010&\002\273\272\275y\375\272U\244\231AY\2318sr\255\231\234\306\263d""\202\310HMHg\345\331h\324>J\354mBB\302\n\235V\256\005\202FC\014\355\006F\222\025\341\343v\033\026{Y\010\367\236\341\201\004L\204o\212N\331\331\021\223 \215\262l\341\330\220\035\211v\001\330\227`v\021\350\210\274\2614\007#\n\010\266\260h\346\350i\304ETj/,\346I\247\007\034U\326\031\272H\004\2073'\035WA\212\004TA_#y\264\360\340\034\022\340\267\371\321\347V\363sf\003x\314\343\001\373\335\340\266\021\270d\234\226\t\033%\t\260\251X\003\263\002\207i\023K\227\0016\314\220#Sg\005\025\030\340O=!6\306\233U\205\361\375\256\024\266\n\342e\336\312(\202`PG\243<\207\344tA5\364\366\363T,\316\273[\262\3250\306-\251JQ\231Q&\003\rRC\033lm\214\222)\265B(\333\036\207\246M\330Z\245d^ti\010\302\250\217F\220\315,\017\367\010\206\014i\241\"\315h\n\007\327\227\237H\262=\261y~\214\207\322\366\337\360\005\331r\353\362\251\004\260\006\222b\006\233\227\316,\320\324J\320\031\0255\307B\344*\231\225\037b2\032\264\354\025\2540bM\210\266\260\016\364\322\013\314\360\000g\330':,\013c\r\014X\302Et\215\244%\247\026\3409\214\t\242!U\261$\300\376J)\352$\250\317\026F\222\226\034D\267\205Z\205\\\032\307z.d\273\035@K\246\311\244t\272C\273x\232e\323vU\312\300\204\r6\330\274\023S\370\007T\235\234\252dj\342\252\200t\357>\031D.\230\010_7\2777\036\316d\205\210c\327\"\361/i\351\250\260UE\302\000\221\364\t9I*}\200\343\303\202\315\322v\203\030\332\006!;\342\360\302\022B\357Hi97\2303\276\344Oxx{\203n\204T\0220`\252\202\304\021\210\212\214D\030\250\242\212\253\023\301'6f}\036\367\222+J\377\221#J\361\033\261\210\237\270^\317\202\017@,@\237\214\037G\221v \037\320\214\r\215\002bb\030\232W\264\207\036\260\366q\3460\013\00786\245h\314\226^\276\344\032\332CH\031\265\013\336y\030\020\0145#\001\332\310\016r\001A\222A\246\227Xq]T\261\003\232\302\313w@_#\210\034D\302\305\210\027\3324\234w\357\314\207\313\321x]\225\205\024\007WJ\016\320\321G\314c\257\226\360\347\016d\263@7\376\006\036\325\205\020\004,\341\274\3474\260\033J\224\303=NdY\243,\010X-\205\016\224\223B\347d\370\314\346~:4\354>G\245\014\360c1+\211\n\346il\235\275-\210""\344d5\246\211 \030\232\252a\340H**\006\375\377\303$=\031A9\346\300\240\r\033\304\007\026\000A]\267\363x\007\2621\326\257\022\2619\310Zh\240\204\327L  \317\214\"\002B\264\344\251\331\3351\003\266\334hq\203\232k\355\273\215\211y\014\230p\2155\320\301(!\031!\241!\016\036_o\201\2417\310\310M\362\025V@R\357SI\337Z\270\003P\260\215\311\324\316!\232\204\320\200\235\205\006F\003 `5hL\311'\220\240 0@F\n\272\226\2245%,\020\022\002#\025\036\343\226\210*Kj\370\\\200/.N\347\3039\363bHwG\225\340t!8\201Y#m\275Icx\275<\211u|m\003\324\031\201\200\301\243K3\264^\225\0175h\002)\2000=\320\177P]\351ZR%\246\363\237!C?&\031S\014\\v`\200\340\272\230-6\360\007EVg\006.qFZ\371\276>\201\342\2341\300<\324\232j\354\324\016I\036S\031\271\202\317\267\351\347\346\246\201\205H\371\373\204pI\202\032\354%\264\006\304rf\316L\034\270-\341\355\013\360\247K\204\033f\031\027\006wT:\260\233\002e\217\004{P[u~\330\250\2747\322\202\241H\r\372\276\270k\337\366sd\247\"2;\364o^\357\213\371>o\231\312E\002\005D\276\224|\365*\3304V\"\030V\013\013M\206\345\304[\036\253Z\363\275\361\320\003\267 3\241\n\021J\017\247\345\251&\216\233\312tt\353\n\205ru\240F\325\226\207X\330\204\362\347@ew\322\010\225,WZ\331d3/I\343\230(Xi1;\357\022\232\006\"\201\"\220\206\326)*%lx\332\306K\301JZ-\006\r T+Z\032h;\023\355\200\255\270 \033\246%\036\002\2060\3069\000\340\231^x\374C\024\273\303\234\344\322\220HD \201@kJ\200\340\250\230\025L u\252\030H\201\204\243\353H\267\262D\237\251\036\213\253\325\333Jv\365\323\021.\261,\206)b\226p\250P\210\303,\222'\317\323|\205\216\313\3423R\373\335DxQ\303\245*\275 U\322\355\254\\\014\220a\361\234u\364C\222\332\227\266{\256a\337\241mL\024V&\020o\020\344\350\326\257\305\036,\007\336\276.\256\026]\347q1\007\001\017\206\274\2478\341\270\301\326\204\005\301\316F\016p\350\315\212\321L+\321\263\344\264\260l\231\266\000\346i\005#\213\301Q7\016\373\353\315S\270A\334%\334.\344w\007j\347F\215\341\244\314\232r#\235\242\201\260\031\262T\002cbj\244lL*S\240\233\321k\232>zQ4Wq\013\225z\263 \354\362x\004\362\262\255""\007\256\201\010\r8\013\014\242P\206\003hS\302RG\202\023\006*\252Z\232\235\316\253\241\314\352\260r)\0057\205\376\352{\262\021RZA\"\335v@\331Y\025F\220-\301 \263b\342\356\360lH\310\326\014`\205>J\310\300F.\000\300\310mU\306\364\320\\\301\264(\030%l\263u\003\313\276\230\254XQ6\357E\373n\263r\204\002\200\311Q0\200\2602\333\321\034\236\331\350\325\3037\300\302N\334\3319\345\242\267\"\3026d\201\322H\034*GIt\241\320.\2014\007\033G\245\310H\025\210`\313\034C\200\020\010A\021\005\367e\030\215\304\014U[V\337\205\\\275\\\262\252\220n~~q%\001\205\362\001\002\005\2311+2\377\206\346\014\312\367nF\340\334\033\205\270\366\232>\037G\037G\243R:|\236\316\215m\t\014\006\201\264\213\322\264\355F\275z\326\277V\301\352\301p\r\321\355^\241VEF\352/[\2278\254Lq\357Y\306\014\3678G?\030\343\307~\203\330u\365\337\316}\002Y'\035q\326\374\257=\365\004\322\231\363\304p\242\350\335\320v\362\234\336E\2450\325\034\231;.Yx\374\353\3149mJ\214b\356,q\312\3340|\334\347\230d\347\t\035!\307\303E\265\331\035\264C\277\363\206\217\361\346\245G\301\332N\257W\255*Y\304\271ob\013P\275\321\274\363\312\030\n \300X!\003\357\376&A\210\261N\222T\205aS\224 W\342\014\261\345Bv\262\004\261\023\207\327\310R\204\366\372$\277\307\327\222\305GI\243\230\\K\006\025+\252X\232\205\225=\255\217d\020?e\242\010\300\362\3540Ly\300\223f\025\247\257\345\373\226\372\332)p\315g\300\260\203\021\230\260\321\242`v\251\210G\277\373;Q\233\202\206\323y\223\",D\351\035\021}\224\355\t\311\321\321\325_HCdLK\260\315\006\354\224\035]\260\034=\203v\227f\032N#{\341\005\257\221\346{9\r\226\313Aa\252\027k,d\304\"x\226%\016T\020\002\376\252\010\007\233\034)vo\345~\022;\270ND\177\240z\246\242\324}]\027%:Y\203\262\352\224O\017Gl\233\350\177,78\355\325\351>W\343O\037\322\361v5\344 \256\333`;\250`T\337\201E\nQ\355[\030n\325\024\306\360A\202*\221\021\3619\036\256\2751\370\347\006\331\232S\344X\210\231\177\\O6\354;M\333\267R\354X\271\361\275o\365\344\366\241\343\357'\222\207\313\r\203}20\351\3503\ne\2718<\242\351\220\3632\212\032\025\2233\321\301u^+t>#""\213\367\236^\370_N\334\2244K\210\345a\345\np\340\321T\205C\241\3071\341C\327\335m\337\310\341\206\200\344\004\0335A\276F\223{\314\\\014#\227C\301\337\021\273\275\027\"97\323\020\316(\204\327r\241\302<\302(\226d\2416J\241\314\032\330t\304z\233\26699 \375\220\320\241\334t\210\345\202a\023.\232Sxd\301\014\343\016\n\213=\000\364w\206\356\361\267o7\262\240\345p^\315\022L\306H\302\023bS\352\234\234\236\2653\356\336\233\242E\202\272\014\266\177\237B\356w\010m\324,\336'V\235?O\347z\335i\3258\216\313P\373[\212\030\203\306T\353\205\2315\037\357\340u\375N\244z\374g\024+\256>\273*\360\026h0\330a\257?[\304f\326)\270p\353t\372\217[2\034O\031\356\021:\365\362j\237\002\244w\304t\177\377\376\035\217\027\331\360\374o\032\236P\361\343\300\374\317\356\364\031\216Z\2146\326\331h\233\316.?\350\237U\017\366\207\375\354^\307`\316\347\262lr&\273#\225\366\251Y\360~\207d=\0272S\263Q.^\310\206\276\355\343\354\177/?\3204\214=KV\\\364!\227\321\030\211\211\277\213\214\343\274~7\235\347M\220v\271\272\263-\037l<\376\267L\361\347W\252qkI\220\320j\234L0x\373\216\242y\223\315\0310\366\204\350\245\017\367\340\252&\335\033\217\004\337\313\320\0274p^\n\267v\227\034\201PJ8t\0317\326\271\215q\212\356\363\323&Q\360\261\332Q\223\264\333\326?\234\001\227\023d\236\347\014\203\3312(*\017p\361\3300\371\023\200\357\3424\227'\201C\272\344\216bv\314^\261\274\354\216TU\036\212\212\236\000\301\214\366l\246.\3434\n*\246L\252\252\212\350]\213\312b\367r\343\034/n\023x\267\220\242J\336@\352\034\375\275\377~r\300\217\210\336\341)\331\017\314\357\267\373\233\371\003y\231 EF7\262\344\306\273\217\030\306\370\030\201\356\200\313\223\251|\237\177\250n\375\354\301\214\352\251\000\252]\276a0\273\n0\270wE\031U/w\327\006&V\302\247\207\033\n\220\0306;\367\261\376M\3108b\021W\246\306<\212\347;\241D\337/_\025\373\256\302\257\344\277J\370\233\2528R\261\376\267x\035|\323\351\206\0073\225y\367\305]\004\347w/^G\251x\267\350q\363\312+y.\333\267n\343\230\270\254\367y\316_^\332\266\340\345rV\257\236\326m\026\236\370\034\356\023\252\276""\225\255\240\360[\266\177\026x\226\337Kr\345\262\001Wkk\207\275qU\316}\233In\255ql\214\245\253#\337Z\266U\377\252\225r\265\213\025S\303^\266uB\220\250\246l\233>;\362H7e$/I\321\327\3175\222Mb\355\335s\203[_\\\354kj\026\213r&\251\347\263@\325\241\245\251\352\034\304\323\371vj\223Gu\2217\317\022*\321\230v\016AS\305\224\346wt\017L\212NN#\004Z|\\t(\311\253\320\227\307Ma,\003\364p\2256+\226\327\244-'\333\275\320QN^C\264c\262\233\302i\310\204\\:I\231\246\234M.\321Y)N\006\004S9\216\321\216'{L\202\305\rBT\256\262b!\016g\014i\245\2574E,(\215<\2172\232\356\320\236^\310\203\007\251\232\230\234\353\350\300\220{\274\321j]B5\334jI3cD\350\223\365pN\245\tp4\022K\355\253\235U\216\367\211\331\256\266h\"\322\314\225g\327\202\226\235;\313^\311\365\253e\005F\031\0253A\201owS\212\235\344\314FJr\3038\242K@\352\240\034\247P<\353\211j\313\3321=\333\352L\307\245\232\231-l#\t|\rB\204\313l\211\333\"/\206\207\227c\362\"\370\\\023\377\027rE8P\220l\266\355\314";
    PyObject *data = __Pyx_DecompressString(cstring, 6697, 2);
    if (unlikely(!data)) __PYX_ERR(0, 1, __pyx_L1_error)
    const char* const bytes = __Pyx_PyBytes_AsString(data);
    #if !CYTHON_ASSUME_SAFE_MACROS
    if (likely(bytes)); else { Py_DECREF(data); __PYX_ERR(0, 1, __pyx_L1_error) }
    #endif
    #elif (CYTHON_COMPRESS_STRINGS) != 0 /* compression: zlib (6885 bytes) */
const char* const cstring = "x\332\355[KW\033I\22666\270\260\r\266\301\330\3453]\335'1\270\014nP)\362\241\007]\345i\036v\227\317qU\233WU\365q\327\210\224\224\200\272\204Rd\246@\352\3233\343\245\226Zj\251\245\226:3\033-uf\305RK\226\374\204\372\t\363\335\210L\275%\300\217\251\3563\215!32\0367n\334\270\367\273\367F\246\027\244\345t\3322\263\211\003\3351l\311\3317$\335\212II#\265\347\354K\273\246%\351R,\023M\304\244\025\343\257\t\303\222lc\357\300H9\276\2337%\374l\333\030\364\007=c\333\213\257\314\250\3568\246t\230\321\343\226\356d,C:N\200F\352+MJ\233\211\224\003\352\246\2447gk\231\310\307\211m\032\206\264\264\233I\305\226vbz2\266J\323.[\261W\274\313\216\313\214\2354\217\301F4\343H\007&\346\320c\261\214E\324,\303\316$=\276\226\255={\211\227\350'\355\260\205\264#\343O\301\237\272$\255\232)\3072\223\036_\346._\270\273B\335\226\3445\311\311\244\223\206\355\222\3330\260\236T\013\305\345\246\214\216\364d\306p\373=\317\352\007\030\266\264t\263\321\363\331\263g\255\213n_\324\334\234\177A\362\317/Hs\262\266 1?/\006\233E\334\250}\276A\215\205\375>\277\252(r8\020\n+r\210\005/;\221\346\0258m\255Y\244)[&\322T_(\244\311\376\240\032V\265\260_y\277yDI\324\315K3R2\2212~'\031Y=\346\270\033'\331\373f&\031\227\242\006\346\366\373\232\214\250a_\270\365\207}\000N\026\233\234\3042v\372\202\234(\001_X\016\004\003\001\231i\001% \277\037#\213Z/V\3327\300\037RC*\013hJ\320\257\211\235^\205ad\222\375m\325\265\276~\366\332e\027K\322\246\243[\216\260\204\376\206\340k\031#/I_\353\251x\322\270\314 eIz\236\212\237?\342C\230\033\201\307\272'\207\036\373\320v'\301\033\007i'\347I\252A\n\226v)\262\215\355\r5w\324L\222\246\353\226\2134\rz\241\313\022o\330*\n\241\336\304\245#\303\302`=\371\356\263\320\022\344\246\212\252\347\254\202\371\203\276\240\237\300\210\251r \354\367\207.\273\246\2768\007\355\367\313\341`\200iZ@\325\344\200\362n\322\352&,\373}0\337\020\223U%\034R\375\301\300\245\005\264\310\032\273\254\265\221\366\313>M\221\203J\210\005TU\013\311\332\245H\253\rpR\373\352\317\002jZ<\227df\034;\0217\032\363\004\002\276@\353O\360""\3358\0300\177\3224\323\211\324\236\024\325c?5\210\253\236\236u\240S\324\314\244\342\324\3332b\216\236\332\003d|\024\224\322\337\r\247\364w@*\375|\254\302\0323\326b\3021\016DG\254>\r\317\202\345\221(\372\310egg.\373M\"\265 \345\3705\373\215\236\245\262\236\235\337\331\271\004\332\255\020e\273]_\373\331\030\357\304\233I\221}\376\371\213\223m\361\351\335\241\303\034h-H\374\322h\375\250\332\361\241c\273_`\003y\310\320)\345\013\306\204\255\373\030\324z\355cO\352\027\014\004\373\356\2467A\332\202\234\347\036=\336\225\274\337G\322\343\356i\265>\250\357\226\335(\250IZ\321|\032\"-U\241\271\371\217\024P}\010}\203Z\220/\223\377\010\275\242p-\365\304\221\216M\353'\302D\351x?\021\333\227\300\227a\331\330\241\204\231\222(\257\340\005$!\031\333x\221\000Wm=l\004|\316\261a\244x\306c\035!\270\002\014\350<T\355\251y\274\323\222\364*as\234\210\231\246\005\235\340\352\355*\235 \343jo\207\356yT\210\374@\"\324\241\017\215~\372\233t\251\355\354\274lY\340\316\216dF\377\2022`\334\320!\037\361$\355\353G\244\312;;iggg\001w\207\355\3544\250\221\020P%c4\322;+\201\304\013\274\221\033\322\023)\317\036\332$\315\roAr\022\007\206D\202OXv3\250j,\004d\275\036\030h\342\321k\202\251\245\211\324\221\221\314\265[\216\275\264\324\256\333\\\276_Io\\]\222U\256K\n\212\001aA\214j\025\241m\001\224Q\224~l\243\301\305+h\220\275\311\356@EDB\035\235\333\365\345+\301\300+Ph\225\263=\307\253\0278\351v[A\014;\327F\243E\337\373O\364\306\377\243/\335\024\341\\H\365!\326\362\207\025D/\376\240\254\300\210Ba_(\250\370\003,\210h)\034\222C\202\360\305\265\234\227\373\2539\033\250\242|\213/\244\355\274\217<\220\230\253\r\203\250\375S\357iK<\305_p!4\354_P\2748\216\tK\220e\377\202\334\255\306b\027\304xm\201\271\330\217\200V\366\"[Yk\330\017\013_\314\014V\351\322\303\016\330\202;\337G1\005\346\013\206\024\246B\371\303\232\346\017\220?\201)\204\302~U\323d\370\n9t\001Sp\216\3156\230\265{\032\202\215\225\220!\254\3663\000N\242\267\336\3332\306\312=\307\272Z\320c\360\377G5o?S\201n\221\\\272\021\026 \017\325TBa\256\357\032 P\226e""\256\261\2410\312\032\343\365j\020\210\037\010\316wk\236\336\222\266\365\3256\314\256C\341\372\266\267i\242\022Dt\242\206BrX\223U\000p\230\346f\212/\250 \025T\202~\026\014*Lk\347\244\315\000|\010d\333\311;r[\030\246B\277\303\214!#Fn\251\252\001\215\3022M\365\207\230\246\004\0030\000UV.\250\354\203\365\334\330\273\010\334\017\006z\264^\010\346\377\t\360\377\010\000\357\256`S\334\376~A\276m\375\312/\031\031\236+1\345\227\216\017y\377W\211\350\027\273P\371-\323L\332_\034$\354\330\027Q\236)\363\n_:\267i&)Ft\337\001\031H\31594\211\321\274\321\226\236\352O\263\364O\372\255\024u\3571~\215C\020\376\247\310\306\014zQ\263 E\241%\334@\020qZ\224V\353\311\236\010\244/\301\016\215\335\335D,a\210C\230\247\331\377\371\357\247\215\366h\257\366\377j\266\307z\2647[\343\324\232\262\221\267;\022\244xp.\332X\246\t\250\224\2765\035\003\240\240;\034\031,\336\337\210\213^\t[J\031\t\324[\322^F\267@\332@\223c6Y\006\342\231\226\203\312\224iQ\016\352\002\215\224I%\0163\2068\326\266\247\007\373C\233\344\315\263\3529\030\034~\027\003\22457\372\274YT(O_\344\331\272\354\353p]-\243\027\031\357\262\030\246\253\032\342e9\354k#%\373\340I\031\317\373\007Q\"\305\322\032\244\202\276\000\331\312\242\034\362\005\265\016j\214)a\371\002$y\207E\325\007:\001\037\247\255\370\2246j\214\332\274\313\200E\312|\252Ps\251\350\356\367\313J@cLVZ\010\372}\302\231\362K_\202\215z\237\317\307\357\341\306\321\210\020'\255>\014?\254)L\326\214E\277\3266b^\372\n`\"6\247ym\316\266ee\304I\356f:\231p:\337\273\272\311\032\325\357\301\203\244Z|\352\007?\027\363hp\303]\222^\233v\202;@\335;Y\201\376\332\234\311\306)GsP\302\376\332\264\022\177%\365N.Ik\t\313\365\236\356\204\226\236\023c\033\207ib\274\364\022\355\220\300B\203\020\375\354\354p\036\340\243\023n<\223\206\341\301\212\370Q\354\237Z\204\360;)\261+\355\352I\033\2117\250\246.N&%\375\320-\314\001p@\001T[vjKs<\354hOY\243\006-\220\216\022\233\242m\252\\\242\365\204\350\030l\330\231X\314\260\355\335L2\351\nhA\342\247\241|\332\216\260\004\002\336\003\267\311\366\274z\3601#?\247s""\375\221=\307g\020j}\261\363\306\005\211\277\276}A\022n=\036\274\354i\345\007ae0'\260{\315;\321T\230\217h\001>\334CF\224Z\307\270Uh\014\2048\330\210\207P\260I\342\343,\201\232\311\342{\313\322\007\034\t\002\177\303>\026\324X\220\007}\276`8\344WA\t\274\371C\234\315\240O\r\252L%jmtZ\353]!\204B\360\025aF\357\207\202\336r\031ui\251\013Cp\262\026\356\"\327ZO\3354\237\354\227\333\030\t\323\213\300\200\334\306\2608\336\365\005\203\001%`,2\217\344`t3S\244\335\342\323\016\341\023\271\311}4\210{\352\330M\200\263\007#\334y\300\360\256\240pN\026\334O\325\226\235\255\013k\033\334\332\337\235\251\\\222\177\272\004?\344*\2640\205\025\035k\3427\316E\320\247\250J\010d\003\276N\353jo\"\031h\2760\247\245*\356\360\260\302\311\211\3466\261x\372/\016|.\343\317\273\336\202v\236\031u\274\375l{\215\331\277\357\305\274\274x\r\362\316N\236\017\377\307\362\361m'\202\2565\267\275\214\021\306L]\373;x>\340\375\375{\313K\250\213\273w:6\353xg+\354\212l\240\257\357\321:\277k\230\363\252z\277 \274\354\344\274\330w\366\0170\301 \362\235\257N?\360\274\375c\222\0176q\363\325\373\300X\250\331M\353\232Z\353\303\324y\013vA\271e\336^rn\366\322\272V\254uN\353\201a\327+\377\367Hw\376\231\352\3742\251\216\263o\031\306\337m\256\323\370\226e\320\3071\347&9\203\276\247y\277\211\317O\256\264\363\3419x\351H\354\202\334\321\374\347%\\\"\326\241\236J\260#\334lTR\240\305;\007\265\217\304e_\350G\320&\313\n\035\206\252\276\200\252\212\024E\024\273\022\236\326\372f\030)\002=E\343\257\233\332\007\264\326\213D*\020\014\006\333\347\362\213#\"\346\327T\245%\037\362\226=#\375\360\303\017\322\313'\007R\312t8\362%\223\260\024\344A\256\375\354\232\311\244y\314?\2763\350\325\006,\006&\0367\354\204\245Ga\003\037P\021\373'\246\027\323\303\256\322\245\324\365|\247\360\216Y\342?N\206\330\211\245\227O\021\233\037z\266\246Y\2756\274_n\370\3611\347\"\254\rH\373.\310`\240%;\014\366B\247`\013:\211l\266G\332\266\235\372)e\036\247\334\335\212\033{\330 \337\277\366\375\352_\232\343\221\277\242\310\363\035\237\302\271-*\023-\335\037\344\272""\035\230\306\346{|\204\351\266\312\341\320|\237\317.\274\361JH\233\357\375\201\222\327C\326\264\371x\302&\3640Rt}\274\267\027K\330\242\034\357\371\346\335\033\3124u~\356\261=?\340=\227\327U\225\203B\204\244\016\021w\000}R9\367\206-Hod\010\377G\334\351\217\036\336\000EUz\360\373\030\275\305\220\177\304\217 \360\204^{\314\321\000\332\036\372\243\2079\032\300\343Jw\300<~\236\360\001\255\2635\330\20165\017\365\335\332\220\032\232o;\231p\353\003Li\251w+5M\236oD\306\336vB\277\272\224\333\353\037\nw\264y\r\376\340|\204E\034\376'\343\037/\255\376\361\233\327/_=_[[{\376z\363\345\253?~\3732N\237\236:\271V\351BU\"\221\327\271,\376\326\0221'\362\255\221u6\214\335\365uecC\336\220#\353JD\327\231\316\"\212\316\262:\313\351\262\256\3501\323\326\223\211\275\224\021\217p\305\210\360'\022P\304\261\364\224\275kZ\007\374\375^\004-I\\\350\313V\250\270\221\212\367U\364\276\r\253--\335J>\260qU\267b\373\272\235H\341\222K\305\022\246/fZf\006a\264a\353\216\236\222\365\254\236\305E\321szN\326sJ4\312\242,\033e\271H\324t\366#\002\335#\272eD\260\026[?0\"\364\231|\304\334\215\210h\222\177\277k3q\223\243f6\212\177r4\027\315\311\261\030\2131\372\215@\"{F\214\311\370\365\312\331\030\313\305d\206_\267F\226\361\353\226a\253\302D\273\377\363Zw\315j\244G\335\206\201m\261\215\016\300h<\276\326-,\205t\240Y\305W\332\033Gz\327\256\366\300\224\266\252\366Y\232\325B\246\221XR\267\355\310\236\341\320\367\321\364\210M\211$R\244@1\203\376W@,i\322w\017\311\244\013\003P\272X\203U\030E\333\303*\327C\361\t\201\370\200\240\017\250\365\0062W\215\305>\272\017\342\332\366\202\034v5\240\315\367e\322\304R\355g\276\203D\234\253\316\305z\177\231\324\017\242q\375\231\333\317\025D\257i{55\351\354\031)#\233\266b\331X.\036\367\307Y\234e\343,\0277\222\216\316/\021Y\334\224\270a%\216\224\270\031s\014\333\211g\3439\303`\006\313\032,g\310\206\2345\344\034\014\325H\333\211$\342#q[\203\266;\266\2215\262\330\256\334\256\236\000\2567\336\367\373\350}\277O\267\220\247\362\347\216\206\226\017\001:Z\032`\261K\202\217D\350\333\352H\304]""\307>&L$R6\375g\244\226%GP\333*\201\306\203\335\232EG\022\330F\317\326\351\201D\227L\374\324V\356\022\035x\"\245Kp\235\264\1772r\336\326\210\021)\203\321E\356\351\320\250\322\323F\276ON\304\275\001-\322N$r\200\\\224\256\316\376\201\236\213rr\320\023\374\276v\032\372\02290\343\231\244\201{&\351\240w\212 \207_\343<\200\003\227\216\031\375\213\271\273\313\360'c{\010\207\326\020\025\n<J\247\375i\226\226\323J:\221vy\341w\372\216\013\t<7\275\264\t\3104\340\236\3015\017\252\332\"\253\264\2038\027\277Y\374\345\020\356\342\027E\031E%\355\250\351l:w\330f\311\230!\022AUR\260jYkk\326\272\314\201\214\361\253L\207\031\313\226\241\363\257\037,\323\001R[\334\316lf\263\254\315r\266l\313Y[\316\021N\030$\316\r\332MD\022p\272\364\r\031}\002\346\205\272\342\346\315< hh\365\330\255\345\256=\367(#Z\201\006\332\206\343\n\035\245\270\261\253c\037\354\244\2316\230\314o\212\n\227\237\34134}?/5\000\216{\350\246\257\217\264\205\003m\017\253\355m\253}zb]\346\326\261\331\336\243{\035^ \321\036!D\272\202\211s*\272\010\013\n\021\016\267\004>f\30496\335JWx\021\035\216\337>\264\034\233\336+\330\307\344\352\343v\326\316\341\237\3430\207Ed\374)\216\034\211\020\344\210+T\035\031\017\324a\3372\217\0353i@]bF\003\022\204\237\340\217\364_}P<6\3057.\021\030\246[\0229\333\221\377\210\035\311G\312\221\312\237E%?\275\312f\375Y\226\225\263JV\315\256%vw\263\033\244\204\271\034\313\3119%\247\346\250.\307\353\336\016\375\354\2772r3?\231\227\363\353\247\303\267p\333\310\037\236\016\217\347\267\013\217\n\313\247\303w\362Va\262 \0276\n\250\0359\035\245\347\373\205hq\270\270R\214\226\256\225\202\345G\345\225r\2642\\Y\251\030U\271\272Y\273Z{\\\263N\356\235\254\234D\353\2577\352\033\233g \033\004\265\265\342\325\342|I.m\225'\313\n\206\014\235\366k8\033\276\231\237\315\307\nS\2306\203\211\364\323\316\212\263\341\261\3742x|\\8*\376\271\374/\225@\365~U/2,\347\351\225\221\321\267\177+00?z\267p\275\240\027\234b\2404Yb\247\243\267\362_\026\016\213C\247cS\205\027\305\351\242Z<*m\224\016O\307\356\325\357\315\225\257\226\347*""\323gT\236/OP\371\347\353W\306\247@\347Ui\250t\257\264\\\332.\317\224\327\313FE\251\350\225Lu\2556R[?\275q\277\260^\320\273&\272S\277\363\270\264^\332/\203\317\007\365\007re\272\022\2522Z.\032\247\n\313\205\315\342\235\322ay\264r\025-Z\365\032\344\266^\215\327fj\033\265\303\223\241\323\321\261\374\213\3024\3262ze\344F\376V\001\203\306\363\353\371$xf\365+\277-\263\237?\27322V\277\365\033\010\206o\310\203\30216\343zi\257\274Q>\252|_]\251\356\326\226\337B\276w\353w\371j\352\362Jm\272\006\016~\305e\364\371\300-\027\233\362\2748\t\tYX\220\302\351Z\225\311\212Z\261 \347h\355ZM\256m\237<:Y=\261\352\353\233\365\315\355\372\366w ;5\220l\213\362\\+\262\"\266\347f\376Q~5\177\214\212\253\305G\305\325\342!\364I\206\234\037\225W1\335\275\312re\235:\315\200\020)\241\002\021\037\236}0:c\030s\330\312\365f\341\032Wt\273\205\310F\311\346\n\036\303\352\345\312F\305\256NW\025H\340j\355Qm\245\026=\271v\302N\260\266\033\357K\300cF\346\033\013\345\351\267\261::M\242S^\311\353y[H\226\226\266\016\353\230,\250\005\253x\257\270\\\334,]-\315\226\242\345ke\306e0q:\374\311\333L~%o\200\301\037\320<D:;\322\260&\350\327wd\004C\345\251\362Ve\212\344\005\035~Z\236.\007+\217+V=\274U\337\332\206\241\024\330[n\265J>Z\270Z\230\201\036_-\316\202\303\341\322J\tFz\2333\241\360\235\221\213[\334\030h\277n\344\3577\330\273_\214\227\036\225\276./\237\336\270\235\217c\001/\033\334\216\224\327\261\272\007W\026}\264)cy\025\022\230\022\310s\253~\353\363\222^:*o\203\237L\025\312\355\332\000\251\367\023\3106P\375\0242\375\374\344\023R\311\r4\007\010\007lHf\253>1\313\315\367q9S\201\264\356\026n\026\247\211\247\211\374\027\305\t\330\324\277b\231\254\374\307*\253.W\377\355D>Y\207\321\222\212\220\314\034\262X\241nFQ+\361\305?\303\250\0310}\255\244\226h\317~?\3049yT\232\346h\370\242\362\244:Y\r\324>=\271z2-\364k\034X\265Y\030*\334+\254B\002\223E\205C'+\255\226\254\362}\250\306De\246\262Y\275Z}T]\255Z\265{\265\345\332\246;\370\031)\347=\014\337\202\3704H{\232\224\r\025\247\243\277\202\210I\257\3537?\343\020\331\243t&\372""\362\301$\373\251\342F1#\266\352\335\210p\016\316\\\005 e'\005\230\001\325\303\267\313$'G\030\027\337\376\365\242^$\361\254\014\271k\020\263A+\3523\032,\301\251\312\365\257^{.\342F\237U\022\013P\230\372l\240\022\255\016WW\352\317\334!\200gn\005\202\017R\234\027Cb\313g\353\267\t}\215\262F.\346n\3416\255\246s\273\277\205\260\227\373m4\343\n\367k,!\006\350_+\017\t,\036\317\377\201\373\025\030\334\0230\312\310l\3278\362\333\240K\233:\202y\343\334O\220\275k\325\241\352\004iL\250\020$\354.\276(=-/s'\302*kh\204\317\252\222\210\276\006\347\267@sB\220\236 q\334\307\312\206N\275\002\325L\320\023o\233\342\332\204\342'o-!&\3019\337\327\007\200\205\331B\014k\375\002\376\224\235\272\235\326\n\334\346\005B\221*\220\325=\342\312\340\216N\024\217K\200\002\227\024\330z\345\nt\232\213y\010\022\277q7\377\037\256T \206\321\374\010pG\367\340o\275\273 \366u\245a\374\244\200\207\247|\005\033\034\275V9`\361-\346\326p\017Pi\000(\267`B\354\254\223\036\341\367\204\220\tQ\374\2524\344=L`\311\321\342xi]\340\272%\204\303\315\037\020\262I\236\202\334\352st\234\346\0005R\344\020{\010\201@eOo\334\001;s\300\355\3453\010i\030\240\264\001\3377\305\325(\000\370\034\275\315\241s\2134\210\306\t\344\005ln\271\016\345\250aZ\215\312h\361\272\013\215q\300\302s(\004;\247\221\324\351\026\3714X\t\346>\033m\032\332\017\250\272\207\3361\276\247c\023. ]-\315\270.f\r\301\304\343\312\341\351\370]\216\314\204\232n/\271\025`E%\305*\254\253\253\250\3555\352\254\263\275\253\310e9\214Pn\350l\224;3<,\027\276\307\326\306J\023\234\314\325\3624\255p\205\273\016.\275[\334g\"\036\273K\332\354\355\317\243\302\n\264w\222\243-\247\n\353;\235\232-}S\301\236\336\316\037p\237\357\025\316<\323\235D(\3304d\376D\0101\0016\276\206<\377D\230\327\260r\212\"\310\240G\337fA\377\006&[B\360\371\0208<O\241\2300\210\207\330\353\371R\010X\261L\212\370\240~\207\020>D\0265\001\307|\210\020\370k\370\225uz\024}\003\360E\323\227\353\213(\226T\370S2Nx)!\321\237J\237\226oU\202U\nA\001\235\037\276\021K\237$C\272M\306\213x\364\014\246|\035eh\371_\212C""\305\t\332\032\025:>}:6.\264\222\357\317}\354\347rq\235\360\237\307\001\334\376\373\334D\270\345\0204\367}\330\202\340Y\217\212&f\220\235\014\365\250\000\003\034y\343\305\317aC/\312\263e\375<\206<\374\364\346\313@\315\364\236\017\377w\254\365\027R\223,\353xh\247\277\334\227\366E\326\373\376\263|\322p\017\303 \271\017\034\237\001f\022H\251\024v\022\230\016\235u\364\212\361\370\211\034\201\353\217\266\340\002V\001\267\274{[\305\333!\341,\270\227\271\376v\217\207\271\023^Q\247\364\364p\360\266\323m\233c>\341\024\017v\306)1!\313\020\005\027\214\304\314\300\334\311\302\347<\002i\026\032p\357\026\310\021\336q%5z\333+\334q\223\213\326\340\367\"\225\236\037&\241\005\204\0378\267\203\230Ts\203\257\214\333(\222\352\301\215\343n\322\034A\000>>Yx\202x|\017\261\361\223\312\375\212N\342\377\204\207\350FI+\013]n\333\001.\355^\333\360\241E\177\373\275\244\353\356V\273\034l\310\260w\345\031\027\312\347\365\207\277-\313\310/\236 ,\333Cz;}\332\"\016\326\020\006e\342\"\363\022g\0106\200^D\362\017\312\207\225\213t\270\225\327`Y1\004C[\245\007\360\335\323Dv\252>\265H\221a]Y\255\261\332\262gYA\370\347\365S\036\007\304\353\223\363\334\371\217>,\336F.t\310\263\265\365\262^v\020NR\216{\203\316D\276GLu(F\304\nS\365\373s\302\361>,\336\344|,\303\321\301\363\300<\301\013ez\025\275rx\326\000~\370\247\t~\364\360{\036\265O\211\034\376\206W\030\315_\023\361\330h\376*\222n/q\245@\365\223\267G\334\231s\371O\363ho\2024\306A\310\274*\\3-h\211\207\033\334\277\210x\201\"3$\226-J\342\372\036l\222\233\337\337\345\212\262\322\310\357m7nu\0253\346%\211\035\217\"-\246\360\351wHE\034$\343o\260\344\373\310#n \307zq2s\262)R\t\276\267\205\317(-&\025\342{\365\031\022\262!\nByJ\006 \372y\366\312\310\365\267[\010\257\235B\000{\367\035\262\277\243\372\342\357kC\265\3735\343D\253\277^?s\321\365\360tPa\23435\\x^\374\r\366p\004\0327[\211a&\245\032\257M\237\333<\206\034\204l\205\372\235\2155O\347(\255lB\005E[3\356\241\r\304{\241ng\"\376:\275>\232\037BL\255\223T\226\350x\253\307\332\3533K\325\351\252\306\317\300z,\221G5""\024m)y\036\017\177\217Pp\235\007u\254\177=\026D\032\354\305\207\"\010\224a\244NI\341\234\212\203\306k\374\030\305\252z\361\242\027F\"\334\354\311\372M\260.\302n(\366\351\2551RP\356\376(\3239\346'\231\317K\277&']\230\246\353\317_^\031\271\223\327=}\rx\007F\004\035{\205\357\212<\272\234nmf\302\332\364\374\221\010\245?\253\177\246\300\"_T\247\317\250L\247\177\001\260\313\255\363;\216V\303\374x\350:p\031\354?\254?\\\304\036\034\023\3766\314\260\031\252\n_\374\n\325t\260\263\315\375\253\0014\327\313\031\344\220#\325\365\002e\220>\262\326\007\302V{\334FHX_C\332\333\305\307\220\247Z\312\302\374G*\333\325Yh\325lm\377D?\311\324\267\266\317\304\204\227\353M\254\206`\344\317\371\321\316,\235z\362\203\226\313\265\362\355D\365=\367\220(\206\004\210\016g9'\342\324\204\262\035\3277L\210\361c\017\021q\335\245!vq\021\3262\214,h\004\206;^[\257\305OfOt\n\203G?\366\034\210\246\357\362\270m\033>\305=\364\272\323Y\341\255\364\245\233w\322\326<l\311\212\263\300\234)\250A\246\262Z\311\022\342\020\306\216\272\351z\343\014|\206\307\\\365O|e\335\215\313O\257\337\254\337d\310\\f+\361\352\364%\3042\226g\365+\323\245\t:GkI\362=]\346>\364ll\212G;\343\367\271\241\022\376Rfq\343\266{\222*\302bY\304r\302\343L\234\216M\"\027'\203\301`\230YC\254\224\003\016\227\2279\334\334\027\2079U\335%\336\360\256^\244\030+\270I\310!m\327\227\3740U\361\216*\356\025^\225n\226\247;z\337\251\337\221x>\354:B:\215\345&\364\357\"\t%\371=\245ut\315s\207\3225\212\016\332\307\375'\022\364\241\036\2434\257\303\337\260\364m\250\313\r\361.\202{j\227\213\307P\253\266j\316\005\217#\032\364\304\253\212\026/\377\200\016\"Z|\370\203B+$L\025\304\221K}\234\316i?\025\301\334\033l\311\023l\"6e\262\360k~V\314\221\365\317\020z\240\324\310\331\376\014\237?S\336\252\334\203v\331P\023!\356\237\347z\035\230u\235|\315\365;I\035\313\177\313\317\275\334\256\004\2657\363\023\371\317\021\335\030\360\334+t\000(\216n\002\000\337\307\356\321g\274$\346\377_\376\243\024\271";
    PyObject *data = __Pyx_DecompressString(cstring, 6885, 1);
    if (unlikely(!data)) __PYX_ERR(0, 1, __pyx_L1_error)
    const char* const bytes = __Pyx_PyBytes_AsString(data);
    #if !CYTHON_ASSUME_SAFE_MACROS
    if (likely(bytes)); else { Py_DECREF(data); __PYX_ERR(0, 1, __pyx_L1_error) }
    #endif
    #else /* compression: none (22843 bytes) */
const char* const bytes = ", Approximates the arc length for a cubic Bezier segment.\n\n    Uses Gauss-Lobatto quadrature with n=5 points to approximate arc length.\n    See :func:`calcCubicArcLength` for a slower but more accurate result.\n\n    Args:\n        pt1,pt2,pt3,pt4: Control points of the Bezier as 2D tuples.\n\n    Returns:\n        Arc length value.\n\n    Example::\n\n        >>> approximateCubicArcLength((0, 0), (25, 100), (75, 100), (100, 0))\n        190.04332968932817\n        >>> approximateCubicArcLength((0, 0), (50, 0), (100, 50), (100, 100))\n        154.8852074945903\n        >>> approximateCubicArcLength((0, 0), (50, 0), (100, 0), (150, 0)) # line; exact result should be 150.\n        149.99999999999991\n        >>> approximateCubicArcLength((0, 0), (50, 0), (100, 0), (-50, 0)) # cusp; exact result should be 150.\n        136.9267662156362\n        >>> approximateCubicArcLength((0, 0), (50, 0), (100, -50), (-50, 0)) # cusp\n        154.80848416537057\n    Calculates the arc length for a quadratic Bezier segment.\n\n    Args:\n        pt1: Start point of the Bezier as 2D tuple.\n        pt2: Handle point of the Bezier as 2D tuple.\n        pt3: End point of the Bezier as 2D tuple.\n\n    Returns:\n        Arc length value.\n\n    Example::\n\n        >>> calcQuadraticArcLength((0, 0), (0, 0), (0, 0)) # empty segment\n        0.0\n        >>> calcQuadraticArcLength((0, 0), (50, 0), (80, 0)) # collinear points\n        80.0\n        >>> calcQuadraticArcLength((0, 0), (0, 50), (0, 80)) # collinear points vertical\n        80.0\n        >>> calcQuadraticArcLength((0, 0), (50, 20), (100, 40)) # collinear points\n        107.70329614269008\n        >>> calcQuadraticArcLength((0, 0), (0, 100), (100, 0))\n        154.02976155645263\n        >>> calcQuadraticArcLength((0, 0), (0, 50), (100, 0))\n        120.21581243984076\n        >>> calcQuadraticArcLength((0, 0), (50, -10), (80, 50))\n        102.53273816445825\n        >>> calcQuadraticArcLength((0, 0), (40, 0), (-40, 0)) # c""ollinear points, control point outside\n        66.66666666666667\n        >>> calcQuadraticArcLength((0, 0), (40, 0), (0, 0)) # collinear points, looping back\n        40.0\n    Calculates the bounding rectangle for a quadratic Bezier segment.\n\n    Args:\n        pt1: Start point of the Bezier as a 2D tuple.\n        pt2: Handle point of the Bezier as a 2D tuple.\n        pt3: End point of the Bezier as a 2D tuple.\n\n    Returns:\n        A four-item tuple representing the bounding rectangle ``(xMin, yMin, xMax, yMax)``.\n\n    Example::\n\n        >>> calcQuadraticBounds((0, 0), (50, 100), (100, 0))\n        (0, 0, 100, 50.0)\n        >>> calcQuadraticBounds((0, 0), (100, 0), (100, 100))\n        (0.0, 0.0, 100, 100)\n    Calculates the bounding rectangle for a quadratic Bezier segment.\n\n    Args:\n        pt1,pt2,pt3,pt4: Control points of the Bezier as 2D tuples.\n\n    Returns:\n        A four-item tuple representing the bounding rectangle ``(xMin, yMin, xMax, yMax)``.\n\n    Example::\n\n        >>> calcCubicBounds((0, 0), (25, 100), (75, 100), (100, 0))\n        (0, 0, 100, 75.0)\n        >>> calcCubicBounds((0, 0), (50, 0), (100, 50), (100, 100))\n        (0.0, 0.0, 100, 100)\n        >>> print(\"%f %f %f %f\" % calcCubicBounds((50, 0), (0, 100), (100, 100), (50, 0)))\n        35.566243 0.000000 64.433757 75.000000\n    Couldn't work out which intersection function to useFinds intersections between a curve and a line.\n\n    Args:\n        curve: List of coordinates of the curve segment as 2D tuples.\n        line: List of coordinates of the line segment as 2D tuples.\n\n    Returns:\n        A list of ``Intersection`` objects, each object having ``pt``, ``t1``\n        and ``t2`` attributes containing the intersection point, time on first\n        segment and time on second segment respectively.\n\n    Examples::\n        >>> curve = [ (100, 240), (30, 60), (210, 230), (160, 30) ]\n        >>> line  = [ (25, 260), (230, 20) ]\n        >>> intersections"" = curveLineIntersections(curve, line)\n        >>> len(intersections)\n        3\n        >>> intersections[0].pt\n        (84.9000930760723, 189.87306176459828)\n    Finds intersections between a curve and a curve.\n\n    Args:\n        curve1: List of coordinates of the first curve segment as 2D tuples.\n        curve2: List of coordinates of the second curve segment as 2D tuples.\n\n    Returns:\n        A list of ``Intersection`` objects, each object having ``pt``, ``t1``\n        and ``t2`` attributes containing the intersection point, time on first\n        segment and time on second segment respectively.\n\n    Examples::\n        >>> curve1 = [ (10,100), (90,30), (40,140), (220,220) ]\n        >>> curve2 = [ (5,150), (180,20), (80,250), (210,190) ]\n        >>> intersections = curveCurveIntersections(curve1, curve2)\n        >>> len(intersections)\n        3\n        >>> intersections[0].pt\n        (81.7831487395506, 109.88904552375288)\n    Finds intersections between two line segments.\n\n    Args:\n        s1, e1: Coordinates of the first line as 2D tuples.\n        s2, e2: Coordinates of the second line as 2D tuples.\n\n    Returns:\n        A list of ``Intersection`` objects, each object having ``pt``, ``t1``\n        and ``t2`` attributes containing the intersection point, time on first\n        segment and time on second segment respectively.\n\n    Examples::\n\n        >>> a = lineLineIntersections( (310,389), (453, 222), (289, 251), (447, 367))\n        >>> len(a)\n        1\n        >>> intersection = a[0]\n        >>> intersection.pt\n        (374.44882952482897, 313.73458370177315)\n        >>> (intersection.t1, intersection.t2)\n        (0.45069111555824465, 0.5408153767394238)\n    Finds intersections between two segments.\n\n    Args:\n        seg1: List of coordinates of the first segment as 2D tuples.\n        seg2: List of coordinates of the second segment as 2D tuples.\n\n    Returns:\n        A list of ``Intersection`` objects, each ob""ject having ``pt``, ``t1``\n        and ``t2`` attributes containing the intersection point, time on first\n        segment and time on second segment respectively.\n\n    Examples::\n        >>> curve1 = [ (10,100), (90,30), (40,140), (220,220) ]\n        >>> curve2 = [ (5,150), (180,20), (80,250), (210,190) ]\n        >>> intersections = segmentSegmentIntersections(curve1, curve2)\n        >>> len(intersections)\n        3\n        >>> intersections[0].pt\n        (81.7831487395506, 109.88904552375288)\n        >>> curve3 = [ (100, 240), (30, 60), (210, 230), (160, 30) ]\n        >>> line  = [ (25, 260), (230, 20) ]\n        >>> intersections = segmentSegmentIntersections(curve3, line)\n        >>> len(intersections)\n        3\n        >>> intersections[0].pt\n        (84.9000930760723, 189.87306176459828)\n\n    Lib/fontTools/misc/bezierTools.pySolve a cubic equation.\n\n    Solves *a*x*x*x + b*x*x + c*x + d = 0* where a, b, c and d are real.\n\n    Args:\n        a: coefficient of *x\302\263*\n        b: coefficient of *x\302\262*\n        c: coefficient of *x*\n        d: constant term\n\n    Returns:\n        A list of roots. Note that the returned list is neither guaranteed to\n        be sorted nor to contain unique values!\n\n    Examples::\n\n        >>> solveCubic(1, 1, -6, 0)\n        [-3.0, -0.0, 2.0]\n        >>> solveCubic(-10.0, -9.0, 48.0, -29.0)\n        [-2.9, 1.0, 1.0]\n        >>> solveCubic(-9.875, -9.0, 47.625, -28.75)\n        [-2.911392, 1.0, 1.0]\n        >>> solveCubic(1.0, -4.5, 6.75, -3.375)\n        [1.5, 1.5, 1.5]\n        >>> solveCubic(-12.0, 18.0, -9.0, 1.50023651123)\n        [0.5, 0.5, 0.5]\n        >>> solveCubic(\n        ...     9.0, 0.0, 0.0, -7.62939453125e-05\n        ... ) == [-0.0, -0.0, -0.0]\n        True\n    Split a cubic Bezier curve at a given coordinate.\n\n    Args:\n        pt1,pt2,pt3,pt4: Control points of the Bezier as 2D tuples.\n        where: Position at which to split the curve.\n        isHorizontal: Dire""ction of the ray splitting the curve. If true,\n            ``where`` is interpreted as a Y coordinate; if false, then\n            ``where`` is interpreted as an X coordinate.\n\n    Returns:\n        A list of two curve segments (each curve segment being four 2D tuples)\n        if the curve was successfully split, or a list containing the original\n        curve.\n\n    Example::\n\n        >>> printSegments(splitCubic((0, 0), (25, 100), (75, 100), (100, 0), 150, False))\n        ((0, 0), (25, 100), (75, 100), (100, 0))\n        >>> printSegments(splitCubic((0, 0), (25, 100), (75, 100), (100, 0), 50, False))\n        ((0, 0), (12.5, 50), (31.25, 75), (50, 75))\n        ((50, 75), (68.75, 75), (87.5, 50), (100, 0))\n        >>> printSegments(splitCubic((0, 0), (25, 100), (75, 100), (100, 0), 25, True))\n        ((0, 0), (2.29379, 9.17517), (4.79804, 17.5085), (7.47414, 25))\n        ((7.47414, 25), (31.2886, 91.6667), (68.7114, 91.6667), (92.5259, 25))\n        ((92.5259, 25), (95.202, 17.5085), (97.7062, 9.17517), (100, 1.77636e-15))\n    Split a cubic Bezier curve at one or more values of t.\n\n    Args:\n        pt1,pt2,pt3,pt4: Control points of the Bezier as 2D tuples.\n        *ts: Positions at which to split the curve.\n\n    Returns:\n        A list of curve segments (each curve segment being four 2D tuples).\n\n    Examples::\n\n        >>> printSegments(splitCubicAtT((0, 0), (25, 100), (75, 100), (100, 0), 0.5))\n        ((0, 0), (12.5, 50), (31.25, 75), (50, 75))\n        ((50, 75), (68.75, 75), (87.5, 50), (100, 0))\n        >>> printSegments(splitCubicAtT((0, 0), (25, 100), (75, 100), (100, 0), 0.5, 0.75))\n        ((0, 0), (12.5, 50), (31.25, 75), (50, 75))\n        ((50, 75), (59.375, 75), (68.75, 68.75), (77.3438, 56.25))\n        ((77.3438, 56.25), (85.9375, 43.75), (93.75, 25), (100, 0))\n    Split a line at a given coordinate.\n\n    Args:\n        pt1: Start point of line as 2D tuple.\n        pt2: End point of line as 2D tuple.\n        where:"" Position at which to split the line.\n        isHorizontal: Direction of the ray splitting the line. If true,\n            ``where`` is interpreted as a Y coordinate; if false, then\n            ``where`` is interpreted as an X coordinate.\n\n    Returns:\n        A list of two line segments (each line segment being two 2D tuples)\n        if the line was successfully split, or a list containing the original\n        line.\n\n    Example::\n\n        >>> printSegments(splitLine((0, 0), (100, 100), 50, True))\n        ((0, 0), (50, 50))\n        ((50, 50), (100, 100))\n        >>> printSegments(splitLine((0, 0), (100, 100), 100, True))\n        ((0, 0), (100, 100))\n        >>> printSegments(splitLine((0, 0), (100, 100), 0, True))\n        ((0, 0), (0, 0))\n        ((0, 0), (100, 100))\n        >>> printSegments(splitLine((0, 0), (100, 100), 0, False))\n        ((0, 0), (0, 0))\n        ((0, 0), (100, 100))\n        >>> printSegments(splitLine((100, 0), (0, 0), 50, False))\n        ((100, 0), (50, 0))\n        ((50, 0), (0, 0))\n        >>> printSegments(splitLine((0, 100), (0, 0), 50, True))\n        ((0, 100), (0, 50))\n        ((0, 50), (0, 0))\n    Split a quadratic Bezier curve at a given coordinate.\n\n    Args:\n        pt1,pt2,pt3: Control points of the Bezier as 2D tuples.\n        where: Position at which to split the curve.\n        isHorizontal: Direction of the ray splitting the curve. If true,\n            ``where`` is interpreted as a Y coordinate; if false, then\n            ``where`` is interpreted as an X coordinate.\n\n    Returns:\n        A list of two curve segments (each curve segment being three 2D tuples)\n        if the curve was successfully split, or a list containing the original\n        curve.\n\n    Example::\n\n        >>> printSegments(splitQuadratic((0, 0), (50, 100), (100, 0), 150, False))\n        ((0, 0), (50, 100), (100, 0))\n        >>> printSegments(splitQuadratic((0, 0), (50, 100), (100, 0), 50, False))\n        ((0, 0), (25"", 50), (50, 50))\n        ((50, 50), (75, 50), (100, 0))\n        >>> printSegments(splitQuadratic((0, 0), (50, 100), (100, 0), 25, False))\n        ((0, 0), (12.5, 25), (25, 37.5))\n        ((25, 37.5), (62.5, 75), (100, 0))\n        >>> printSegments(splitQuadratic((0, 0), (50, 100), (100, 0), 25, True))\n        ((0, 0), (7.32233, 14.6447), (14.6447, 25))\n        ((14.6447, 25), (50, 75), (85.3553, 25))\n        ((85.3553, 25), (92.6777, 14.6447), (100, -7.10543e-15))\n        >>> # XXX I'm not at all sure if the following behavior is desirable:\n        >>> printSegments(splitQuadratic((0, 0), (50, 100), (100, 0), 50, True))\n        ((0, 0), (25, 50), (50, 50))\n        ((50, 50), (50, 50), (50, 50))\n        ((50, 50), (75, 50), (100, 0))\n    Split a quadratic Bezier curve at one or more values of t.\n\n    Args:\n        pt1,pt2,pt3: Control points of the Bezier as 2D tuples.\n        *ts: Positions at which to split the curve.\n\n    Returns:\n        A list of curve segments (each curve segment being three 2D tuples).\n\n    Examples::\n\n        >>> printSegments(splitQuadraticAtT((0, 0), (50, 100), (100, 0), 0.5))\n        ((0, 0), (25, 50), (50, 50))\n        ((50, 50), (75, 50), (100, 0))\n        >>> printSegments(splitQuadraticAtT((0, 0), (50, 100), (100, 0), 0.5, 0.75))\n        ((0, 0), (25, 50), (50, 50))\n        ((50, 50), (62.5, 50), (75, 37.5))\n        ((75, 37.5), (87.5, 25), (100, 0))\n    Unknown curve degree.?approximateCubicArcLength (line 332)calcCubicBounds (line 412)calcQuadraticArcLength (line 151)calcQuadraticBounds (line 298)curveCurveIntersections (line 1385)curveLineIntersections (line 1255)disableenable%ggcisenabledlineLineIntersections (line 1154)(%s)segmentSegmentIntersections (line 1427)\n    >>> _segmentrepr([1, [2, 3], [], [[2, [3, 4], [0.1, 2.2]]]])\n    '(1, (2, 3), (), ((2, (3, 4), (0.1, 2.2))))'\n    _segmentrepr (line 1475)solveCubic (line 848)splitCubicAtT (line 613)splitCubic (line 552)splitLine (line 450)splitQuadr""aticAtT (line 589)splitQuadratic (line 507)_1_t_1_t_2_2_t_1_tCOMPILEDDDEPSILONIdentityIntersectionLen__Pyx_PyDict_NextRefQQ3RR2R2_Q3_aa1a1_3a1xa1ya2a3acosaligned_curve_alignment_transformation__all__angleappendapproximateCubicArcLengthapproximateCubicArcLengthCapproximateQuadraticArcLengthapproximateQuadraticArcLengthCarchasinhasyncio.coroutinesatan2axax2ax3ayay2ay3bb1b1xb1y_both_points_are_on_same_side_of_originbounds1bounds2boxbxbx2byby2cc1c11c11_rangec12c12_rangec1xc1yc21c21_rangec22c22_rangecalcBoundscalcCubicArcLengthcalcCubicArcLengthC_calcCubicArcLengthCRecursecalcCubicBoundscalcCubicParameterscalcCubicPointscalcQuadraticArcLengthcalcQuadraticArcLengthCcalcQuadraticBoundscalcQuadraticParameterscalcQuadraticPoints__class_getitem__cline_in_tracebackclosecollectionscoscubicPointAtTcubicPointAtTCcurvecurve1curve2curveCurveIntersectionscurveLineIntersections_curve_bounds_curve_curve_intersections_t_curve_curve_intersections_t.<locals>.midpoint_curve_curve_intersections_t.<locals>.<lambda>_curve_line_intersections_t_curve_line_intersections_t.<locals>.genexprcxcydd0d1d1xd1ydeltadelta_2delta_3deriv3doctestdxdyee1e1xe1ye2e2xe2yendepsilonepsilonDigitsexexiteyfailedfontTools.misc.arrayToolsfontTools.misc.bezierToolsfontTools.misc.transformfound__func__genexprhitsiinsertintersection_tsintersectionsintersectsisHorizontal_is_coroutine_is_linelike_is_linelike.<locals>.genexpriscloseititemskey<lambda>lineline1line2lineLineIntersectionslinePointAtTline_t_line_t_of_pt__main__mathmaybelinemidmidPtmidpoint__module__multn__name__namedtuplenextobjoff1off2oneorigDistoriginpp0p1p2p3pipointAtTpointFinderpointspopprecisionprintprintSegmentsptpt1pt1xpt1ypt2pt2xpt2ypt3pt4pxpyquadraticPointAtT__qualname__rrDDrQ2range1range2rectArearootsrotateroundss1s1xs1ys2s2xs2yscalesectRectseensegseg1seg2segmentsegmentPointAtTsegmentSegmentIntersections_segmentrepr_segmentrepr.<locals>.genexprsegmentssend__set_name__setdefaultslope12slope34solutionssolveCubicsolveQuadraticsplitsplitCubic_splitCubicAt""TsplitCubicAtTC_splitCubicAtTCsplitCubicAtTsplitCubicIntoTwoAtTCsplitCubic.<locals>.genexprsplitLinesplitQuadratic_splitQuadraticAtTsplitQuadraticAtTsplitQuadratic.<locals>.genexpr_split_cubic_into_two_split_segment_at_tsqrtstartswappedsxsysystt1t1_2t1_3t2__test__testmodthetathrowtolerancetransformPointstranslatetstwounique_keyunique_valuesv0v1v2v3v4valuevalueswherexx0x1x2x3x4xDiffxRootsyy1y2y3y4yDiffyRoots\200\001\3600\000\005\n\210\022\2102\210Q\330\004\013\2102\210R\210q\330\004\r\210U\220\"\220A\330\004\017\210r\220\022\2202\220R\220q\330\004\005\330\010\017\210r\220\025\220b\230\004\230B\230b\240\003\2407\250\"\250B\250b\260\004\260B\260e\2702\270S\300\002\300%\300r\310\023\310B\310b\320PR\320RS\340\004\013\2107\220\"\220D\230\002\230)\2402\240T\250\022\2503\250b\260\001\330\004\013\2107\220\"\220D\230\002\230)\2402\240T\250\022\2503\250b\260\001\340\004\n\210$\210c\220\024\220R\220u\230B\230a\330\004\n\210$\210c\220\024\220R\220u\230B\230a\340\004\014\210A\210U\220%\220v\230\\\250\032\2606\270\025\270a\2301\200\001\360*\000\005\010\200|\2201\220A\330\010\020\220\006\220a\220t\2306\240\022\2401\330\010\013\210<\220q\230\001\330\014\024\220F\230!\2304\230v\240R\240q\330\014\023\320\023(\250\002\250(\260!\340\014\023\320\023)\250\021\250(\260!\360\006\000\r\024\2201\220L\240\001\240\023\240A\240U\250#\250Q\250e\2603\260a\260u\270D\300\005\300Q\330\t\025\220Q\220a\330\010\020\220\006\220a\220t\2306\240\022\2401\330\010\017\320\017%\240Q\240h\250a\340\004\026\320\0262\260!\2608\2701\330\004\013\2101\330\010\024\220A\220S\230\017\240q\250\010\260\002\260!\2605\270\003\2702\270Q\270d\300#\300R\300q\310\001\330\010\014\210F\220!\200\001\360\010\000\005\t\210\013\2201\330\010\r\210Q\210l\230!\2301\320\000+\2501\360\034\000\005\014\320\013\036\230a\330\010\017\210r\220\026\220w\230b\240\006\240g\250R\250v\260W\270B\270f\300A\200\001\330\004\020\320\020)\250\021\250(\3202B\300!\3001\330\004\033\2301\200\001\360&\000\005\n\210\022\2102\210Q\330\004\013\2102\210R\210q\330""\004\r\210U\220\"\220A\330\004\013\2107\220\"\220E\230\022\2304\230r\240\022\2403\240g\250R\250r\260\022\2604\260r\270\025\270b\300\003\3002\300U\310\"\310C\310r\320QS\320SU\320UV\200\001\360\024\000\005\n\210\022\2102\210Q\330\004\013\2102\210R\210q\330\004\r\210U\220\"\220A\330\004\005\330\010\017\210r\220\025\220b\230\003\2301\230A\330\010\n\210\"\210C\210w\220b\230\002\230\"\230C\230q\240\003\2402\240U\250\"\250C\250r\260\023\260A\260Q\330\010\n\210#\210R\210r\220\022\2203\220a\220q\340\004\005\330\010\017\210r\220\025\220b\230\003\2301\230A\330\010\n\210\"\210C\210w\220b\230\002\230\"\230C\230q\240\003\2402\240U\250\"\250C\250r\260\023\260A\260Q\330\010\n\210#\210R\210r\220\022\2203\220a\220q\340\004\014\210C\210q\200\001\360\024\000\005\n\210\022\2102\210S\220\003\2202\220R\220s\230\"\230C\230q\240\003\2402\240R\240s\250\"\250B\250c\260\022\2602\260R\260s\270!\2703\270b\300\002\300\"\300B\300b\310\003\3101\310A\330\004\t\210\022\2102\210S\220\003\2202\220R\220s\230\"\230C\230q\240\003\2402\240R\240s\250\"\250B\250c\260\022\2602\260R\260s\270!\2703\270b\300\002\300\"\300B\300b\310\003\3101\310A\330\004\014\210C\210q\200\001\3602\000\005\014\320\013%\240Q\330\010\017\210r\220\026\220w\230b\240\006\240g\250R\250v\260W\270B\270a\200\001\360\022\000\005\014\2103\210a\210s\220\"\220A\330\004\n\210#\210Q\210c\220\022\2204\220r\230\023\230A\230S\240\002\240$\240b\250\003\2501\250C\250r\260\021\330\004\007\200u\210B\210e\2202\220X\230S\240\001\330\010\020\220\005\220R\220u\230B\230a\340\010\r\210V\320\023(\250\001\250\024\250T\260\024\260Q\330\010\017\320\017*\250!\2507\260%\260r\3209T\320TU\330\014\023\2201\200\001\330\004\013\2103\210b\220\002\220#\220S\230\002\230$\230b\240\004\240B\240a\330\004\016\210c\220\022\2203\220b\230\003\2302\230T\240\022\2401\330\004\005\330\010\t\210\025\210c\220\022\2204\220r\230\025\230d\240\"\240H\250A\330\t\016\210d\220\"\220I\230S\240\002\240$\240b\250\005\250Q\200\001\360\026\000-.\360\024\000\005\014\2104\210r\220\024\220R\220q""\330\004\013\320\013&\240a\240v\250U\260%\260u\270A\200\001\360\034\000\005\014\320\013)\250\021\250'\260\022\2606\270\027\300\002\300&\310\007\310r\320QR\200\001\3606\000\005\010\200s\210#\210T\320\021$\240A\240U\250%\250u\260A\330\004\020\220\n\230!\330\010\t\210\021\210/\230\021\230!\230?\250!\2501\250O\2701\270A\270^\3102\310Q\340\004\026\220a\220q\330\004\007\200t\2101\330\010\017\210r\220\025\220e\2305\240\001\330\004\013\210>\230\021\230#\230S\240\003\2404\240q\200\001\360@\001\000\005\014\320\013\"\240!\2407\250\"\250F\260'\270\022\2706\300\027\310\002\310!\200\001\360\024\000\005\r\210A\210S\220\001\220\023\220C\220r\230\022\2303\230b\240\003\2401\240C\240r\250\025\250c\260\021\260#\260S\270\002\270\"\270C\270r\300\023\300A\300S\310\002\310!\200\001\360>\000\005\n\210\023\210A\210T\220\022\2205\230\002\230!\330\004\t\210\023\210A\330\010\033\2302\230Q\330\010\n\320\n\034\230B\230a\330\010\n\320\n\034\230B\230a\330\010\n\320\n\034\230B\230a\340\004\t\210\023\210A\210T\220\022\2204\220r\230\024\230R\230u\240B\240a\330\004\t\210\023\210A\330\010\033\2302\230Q\330\010\n\320\n\034\230B\230a\330\010\n\320\n\034\230B\230a\330\010\n\320\n\034\230B\230a\340\004\t\210\023\210A\210T\220\022\2205\230\002\230!\340\004\013\2103\210b\220\003\2202\220S\230\002\230#\230R\230q\200A\330\010\017\210t\2203\220a\220q\230\003\2302\230Q\230a\230q\200\001\360B\001\000\005\n\210\023\210A\330\010\033\2302\230T\240\022\320#5\260R\260t\2702\320=P\320PR\320RS\340\004\t\210\023\210A\210T\220\022\2205\230\002\230!\330\004\t\210\023\210A\330\010\034\230B\230d\240\"\320$6\260b\270\004\270B\320>P\320PR\320RS\360\006\000\005\014\2103\210b\220\003\2202\220Q\200\001\360F\001\000\005\010\200s\210$\320\016%\240Q\240e\2505\260\001\330\004\020\220\016\230a\330\010\t\210\021\210/\230\021\230!\230?\250!\2501\250N\270\"\270A\340\004\026\220a\220q\330\004\007\200t\2101\330\010\017\210r\220\025\220e\2301\330\004\013\320\013\035\230Q\230c\240\023\240D\250\001\200\001\360\010\000\005\r\210G\2201\220A\330""\004\n\210'\220\022\2201\330\004\014\210D\220\006\220a\220s\230!\2303\230b\240\005\240Q\240d\250#\250Q\250c\260\022\2605\270\001\270\021\330\004\013\2108\2207\230!\2301\230F\240*\250A\250Q\250e\2601\260D\270\001\270\025\270a\270q\200\001\360H\001\000\005\013\210'\220\021\330\004\n\210'\220\021\340\004\t\210\025\210b\220\001\330\004\t\210\025\210b\220\001\340\004\t\210\021\330\004\t\210\021\340\004\t\210\024\210S\220\001\220\021\340\004\007\200r\210\023\210A\330\010\017\210r\220\025\220a\330\004\t\210\026\210s\220$\220c\230\021\230/\250\022\2501\330\004\007\200r\210\023\210D\220\001\330\010\020\220\003\2202\220R\220r\230\024\230S\240\002\240\"\240B\240a\330\010\017\210r\220\025\220i\230w\240a\340\010\017\210r\220\025\220a\200\001\360L\001\000\005\010\200s\210!\2103\210b\220\001\360\006\000\t\020\210~\230Q\230c\240\023\240A\330\004\010\210\005\210Q\210a\330\004\t\210\022\2102\210Q\330\004\t\210\022\2102\210Q\330\004\t\210\022\2102\210Q\340\004\t\210\023\210B\210c\220\022\2204\220r\230\024\230R\230q\330\004\t\210\024\210R\210s\220\"\220C\220r\230\023\230B\230d\240\"\240C\240r\250\023\250B\250e\2602\260T\270\022\2701\340\004\t\210\022\2102\210Q\330\004\t\210\022\2102\210R\210r\220\021\330\004\t\210\025\210c\220\022\220=\240\001\330\004\t\210\025\210c\220\021\220$\220b\230\r\240Q\340\004\014\210C\210r\220\021\340\004\007\200s\210#\210T\220\024\220S\230\003\2301\330\010\014\210E\220\021\220!\2203\220b\230\005\230Q\330\010\017\210q\220\003\2203\220a\330\t\017\210s\220(\230\"\230A\340\010\020\220\004\220I\230R\230r\240\024\240Q\240e\2506\260\021\330\010\016\210e\2202\220T\230\021\230!\330\010\017\210s\220\"\220A\330\010\r\210T\220\022\2203\220a\220v\230R\230u\240B\240a\330\010\r\210T\220\022\2203\220b\230\006\230b\240\004\240B\240d\250\"\250E\260\022\2601\330\010\r\210T\220\022\2203\220b\230\006\230b\240\004\240B\240d\250\"\250E\260\022\2601\330\010\014\210D\220\013\2301\230A\230T\240\024\240Q\340\010\013\2103\210b\220\003\2202\220X\230T\240\023\240B\240c\250\022\2501\330""\014\021\220\025\220e\2305\240\002\240#\240R\240s\250\"\250D\260\002\260%\260q\330\r\020\220\002\220#\220R\220q\330\014\021\220\025\220e\2302\230S\240\002\240$\240b\250\005\250Q\330\014\021\220\025\220a\220t\2301\330\r\020\220\002\220#\220R\220q\330\014\021\220\025\220a\220t\2301\330\014\021\220\025\220e\2302\230S\240\002\240$\240b\250\005\250Q\340\014\021\220\025\220a\220t\2301\330\014\021\220\025\220a\220t\2301\330\014\021\220\025\220a\220t\2301\330\010\017\210q\220\004\220D\230\001\340\010\014\210C\210q\220\004\220A\220W\230B\230c\240\021\240$\240b\250\002\250!\330\010\014\210B\210b\220\002\220\"\220A\330\010\013\2102\210S\220\001\330\014\020\220\001\220\021\330\010\014\210E\220\021\220\"\220B\220c\230\022\2305\240\001\330\010\017\210q\220\001\200\001\330\024$\240M\260\021\340\004\016\210m\2301\230A\330\004\016\210m\2301\230A\340\004\007\200t\2101\330\010\022\220%\220q\330\004\007\200t\2101\330\010\022\220%\220q\360\006\000\005\021\220\004\220H\230A\230Y\240a\330\004\007\200t\2101\330\010\017\210q\340\004\005\360\010\000\005\010\200x\210q\220\t\230\022\230:\240T\250\030\260\021\260)\2702\270Q\330\010\017\210r\220\030\230\021\230)\2408\2501\250A\340\004\t\210\026\320\017\"\240!\2408\2501\330\004\021\220\026\220q\230\004\230H\240A\240Q\330\004\021\220\030\230\021\230)\2406\250\021\250!\340\004\t\210\026\320\017\"\240!\2408\2501\330\004\021\220\026\220q\230\004\230H\240A\240Q\330\004\021\220\030\230\021\230)\2406\250\021\250!\340\004\014\210A\330\004\t\210\027\220\001\330\010$\240A\330\014\021\220\025\220k\240\027\250\013\2607\270!\360\006\000\005\n\210\027\220\001\330\010$\240A\330\014\021\220\025\220k\240\027\250\013\2607\270!\360\006\000\005\n\210\027\220\001\330\010$\240A\330\014\021\220\025\220k\240\027\250\013\2607\270!\360\006\000\005\n\210\027\220\001\330\010$\240A\330\014\021\220\025\220k\240\027\250\013\2607\270!\360\010\000\005\022\220\021\330\004\016\210a\330\004\024\220A\340\004\010\210\006\210a\330\010\016\210j\230\001\230\021\330\010\013\2104\210s""\220!\330\014\r\330\010\014\210D\220\001\220\021\330\010\025\220W\230A\230Q\340\004\013\2101\200\001\330\004\010\210\005\210Q\330\004\010\210\005\210Q\330\004\010\210\005\210Q\330\004\010\210\005\210Q\330\004\n\210#\210R\210t\2202\220Q\330\004\n\210#\210R\210t\2202\220Q\330\004\n\210#\210R\210t\2202\220T\230\022\2301\330\004\n\210#\210R\210t\2202\220T\230\022\2301\330\004\t\210\023\210B\210c\220\022\2203\220b\230\001\330\004\t\210\023\210B\210c\220\022\2203\220b\230\001\330\004\013\2101\210D\220\006\220d\230&\240\004\240F\250$\250a\200\001\330\004\010\210\005\210Q\330\004\010\210\005\210Q\330\004\010\210\005\210Q\330\004\010\210\005\210Q\330\004\t\210\021\330\004\t\210\021\330\004\n\210#\210R\210u\220B\220a\330\004\n\210#\210R\210u\220B\220a\330\004\n\210#\210R\210t\2202\220T\230\022\2301\330\004\n\210#\210R\210t\2202\220T\230\022\2301\330\004\t\210\023\210B\210c\220\022\2203\220b\230\001\330\004\t\210\023\210B\210c\220\022\2203\220b\230\001\330\004\013\2101\210D\220\006\220d\230&\240\004\240F\250$\250a\200\001\330\004\010\210\005\210Q\330\004\010\210\005\210Q\330\004\010\210\005\210Q\330\004\n\210#\210R\210t\2202\220Q\330\004\n\210#\210R\210t\2202\220Q\330\004\t\210\023\210B\210c\220\022\2201\330\004\t\210\023\210B\210c\220\022\2201\330\004\013\2101\210D\220\006\220d\230&\240\004\240A\200\001\330\004\010\210\005\210Q\330\004\010\210\005\210Q\330\004\010\210\005\210Q\330\004\t\210\021\330\004\t\210\021\330\004\n\210#\210R\210u\220B\220a\330\004\n\210#\210R\210u\220B\220a\330\004\t\210\023\210B\210c\220\022\2201\330\004\t\210\023\210B\210c\220\022\2201\330\004\013\2101\210D\220\006\220d\230&\240\004\240A\200\001\330\004\010\210\005\210Q\330\004\010\210\005\210Q\330\004\010\210\005\210Q\330\004\007\200s\210!\2103\210b\220\004\220B\220h\230d\240#\240Q\240c\250\022\2504\250r\260\021\340\010\020\220\001\340\004\007\200s\210!\2103\210b\220\004\220B\220c\230\021\230#\230R\230q\330\010\020\220\003\2202\220T\230\023\230C\230r\240\021\340\010\020\220\003\2202\220T\230\023""\230C\230r\240\021\200\001\330\004\t\210\024\210Q\210a\330\004\006\200g\210Q\210c\220\021\330\004\006\200g\210Q\210a\330\004\017\210q\330\004\010\210\005\210Q\330\004\010\210\005\210Q\330\004\010\210\005\210Q\330\004\010\210\005\210Q\330\004\010\210\005\210U\220!\2203\220a\220t\2302\230Q\330\010\r\210R\210q\220\001\330\010\r\210R\210q\220\002\220\"\220A\330\010\020\220\003\2202\220Q\340\010\022\220&\230\002\230!\330\010\022\220&\230\002\230!\330\010\017\210s\220\"\220A\330\010\017\210s\220\"\220A\360\006\000\t\017\210c\220\022\2201\330\010\016\210c\220\022\2201\330\010\017\210r\220\022\2203\220b\230\003\2302\230T\240\022\2401\330\010\017\210r\220\022\2203\220b\230\003\2302\230T\240\022\2401\330\010\017\210r\220\022\2203\220b\230\003\2302\230S\240\002\240\"\240B\240c\250\022\2506\260\022\2601\330\010\017\210r\220\022\2203\220b\230\003\2302\230S\240\002\240\"\240B\240c\250\022\2506\260\022\2601\330\010\016\210c\220\022\2205\230\002\230#\230R\230u\240B\240c\250\022\2503\250b\260\001\330\010\016\210c\220\022\2205\230\002\230#\230R\230u\240B\240c\250\022\2503\250b\260\001\330\010\r\210U\220%\220v\230_\250A\330\r\022\220'\230\025\230g\240U\250'\260\025\260a\340\010\020\220\007\220r\230\025\230e\2405\250\001\330\004\013\2101\200\001\330\004\t\210\024\210Q\210a\330\004\017\210q\330\004\006\200g\210Q\210c\220\021\330\004\006\200g\210Q\210a\330\004\010\210\005\210Q\330\004\010\210\005\210Q\330\004\010\210\005\210Q\330\004\010\210\005\210U\220!\2203\220a\220t\2302\230Q\330\010\r\210R\210q\220\001\330\010\r\210R\210q\220\002\220\"\220A\330\010\020\220\003\2202\220Q\340\010\022\220&\230\002\230!\330\010\016\210c\220\022\2201\330\010\016\210c\220\022\2201\330\010\017\210r\220\022\2203\220b\230\003\2302\230T\240\022\2401\330\010\017\210r\220\022\2203\220b\230\003\2302\230T\240\022\2401\330\010\017\210s\220\"\220A\330\010\016\210c\220\022\2205\230\002\230#\230R\230s\240\"\240A\330\010\016\210c\220\022\2205\230\002\230#\230R\230s\240\"\240A\340\010\r\210U\220&\320\030+\2502\250U""\260'\270\025\270g\300U\310!\330\010\020\220\007\220r\230\025\230e\2401\330\004\013\2101\200\001\330\004\r\210Q\210a\210s\220\"\220F\230!\2304\230s\240!\2401\240C\240r\250\026\250q\260\001\330\004\r\210Q\210a\210s\220\"\220F\230!\2304\230s\240!\2401\240C\240r\250\026\250q\260\001\330\004\013\2105\220\006\220c\230\024\230T\240\026\240s\250!\200\001\330\004\024\320\024-\250Q\250e\3203C\3001\300A\330\004\007\200s\210!\2107\220#\220Q\330\010\013\2103\210d\320\022)\250\022\2501\330\010\030\230\016\240a\240q\250\001\250\024\250Q\250a\250t\2601\260A\260Q\330\t\014\210A\210W\220C\220q\330\010\013\2103\210c\220\024\320\025(\250\002\250!\330\010\030\230\n\240!\2401\240A\240T\250\021\250!\2504\250q\260\001\260\024\260Q\260a\260q\340\010\016\210j\230\001\230\021\330\004\021\220\021\220!\200\001\360@\001\000\005\n\210\024\210R\210q\330\004\t\210\024\210R\210q\330\004\010\210\003\2102\210Q\330\004\010\210\002\210\"\210A\330\004\014\210C\210q\220\001\330\004\007\200v\210S\220\001\330\010\017\210s\220!\2204\220r\230\021\330\004\017\210t\2201\220C\220q\330\004\007\200s\210!\210:\220R\220q\330\010\013\2104\210q\220\004\220D\230\003\2301\330\014\023\2203\220a\220t\2302\230Q\330\010\013\2104\210s\220!\2205\230\003\2301\230A\330\010\020\220\002\220\"\220B\220b\230\002\230\"\230C\230s\240\"\240B\240a\330\004\t\210\024\210Q\210c\220\024\220R\220q\330\004\t\210\024\210Q\210c\220\024\220R\220q\330\004\n\210#\210Q\210b\220\003\220;\230a\230t\2402\240[\260\001\260\025\260b\270\t\300\023\300F\310#\310S\320PR\320RS\330\004\013\2101\220\034\230S\240\001\240\022\2401\240C\240r\250\034\260S\270\001\270\022\2701\270C\270r\300\021\200\001\360$\000\005\006\200T\210\026\210t\2206\230\024\230V\2404\240v\320-@\300\001\300\025\300e\3105\320PQ\340\004\n\210#\210R\210q\330\004\n\210#\210R\210q\330\004\n\210#\210R\210q\330\004\n\210#\210R\210q\330\004\r\210Q\210b\220\004\220E\230\036\240q\250\005\250U\260$\260c\270\022\2703\270d\300!\330\004\r\210Q\210b\220\004\220E\230\036\240q\250\005\250U\260$\260c\270""\022\2703\270d\300!\330\004\014\210G\2202\220Q\340\004\r\210Q\340\014\017\210r\220\022\2202\220R\220r\230\022\2302\230S\240\002\240\"\240B\240b\250\002\250#\250R\250r\260\022\2601\330\014\017\210r\220\022\2202\220R\220r\230\022\2302\230S\240\002\240\"\240B\240b\250\002\250#\250R\250r\260\022\2601\340\010\014\210E\220\021\330\006\010\210\001\210\025\210a\330\004\013\210:\220Q\220a\200\001\360$\000\005\006\200T\210\026\210t\2206\230\024\230V\320#:\270!\2705\300\005\300Q\330\004\n\210#\210R\210q\330\004\n\210#\210R\210q\330\004\014\210A\330\004\007\200t\2103\210a\330\010\r\210W\220A\220Q\220c\230\022\2301\330\004\007\200t\2103\210a\330\010\r\210W\220A\220Q\220c\230\022\2301\330\004\r\210Q\330\t\014\210B\210b\220\002\220\"\220B\220c\230\022\2302\230R\230t\2403\240b\250\002\250\"\250B\250b\260\003\2602\260R\260r\270\021\330\010\014\210E\220\021\330\010\013\2102\210S\220\004\220A\330\006\010\210\001\210\025\210a\330\004\013\210:\220Q\220a\200\001\360\n\000\005\006\330\010\r\210T\220\021\220!\330\013\014\330\010\017\210u\220B\220a\340\010\017\210w\220b\230\004\230E\240\035\250a\200\001\220!\250a\200\001\360<\000\005\017\210a\330\004\007\200s\210!\2106\220\022\2203\220a\220q\330\010\016\210g\220V\2301\330\010\022\220!\330\004\007\200s\210!\2106\220\022\2201\330\010\013\2103\210a\210v\220R\220q\330\014\034\320\0343\2601\260F\270!\340\014\034\320\0342\260!\2606\270\021\330\t\014\210A\210V\2203\220b\230\004\230C\230q\240\006\240c\250\021\330\010\030\320\030-\250R\250w\260a\340\010\016\210j\230\001\230\021\330\004\007\200t\2101\330\010\017\210q\330\004\013\2101\210L\230\001\230\023\230A\230U\240#\240Q\240e\2503\250a\250u\260D\270\005\270Q\220q\200\001\360.\000\005\n\210\026\210q\330\004\t\210\026\210q\330\004\t\210\026\210q\330\004\t\210\026\210q\330\004\005\330\010\014\210H\220A\220U\230%\230t\2404\240x\250q\260\005\260U\270$\270d\300$\300h\310a\310u\320TU\340\010\017\210q\330\004\005\330\010\014\210H\220A\220U\230%\230t\2404\240x\250q\260\005\260U\270$\270d\300$\300h\310a""\310u\320TU\340\010\017\210q\330\004\007\200t\2108\2201\220E\230\025\230d\240$\240h\250a\250u\260A\330\010\017\210q\330\004\007\200t\2108\2201\220E\230\025\230d\240$\240h\250a\250u\260A\330\010\017\210q\330\004\007\200t\2108\2201\220E\230\021\330\010\014\210A\330\010\023\2204\220r\230\025\230c\240\024\240R\240q\330\010\014\210H\220C\220r\230\022\2305\240\002\240!\330\010\016\210c\220\021\330\010\017\210q\330\014\030\230\001\330\020\023\2204\220s\230-\240q\250\004\250D\260\005\260S\270\r\300Q\300d\310$\310a\360\006\000\005\010\200t\2108\2201\220E\230\021\330\010\014\210A\330\010\023\2204\220r\230\025\230c\240\024\240R\240q\330\010\014\210H\220C\220r\230\022\2305\240\002\240!\330\010\016\210c\220\021\330\010\017\210q\330\014\030\230\001\330\020\023\2204\220s\230-\240q\250\004\250D\260\005\260S\270\r\300Q\300d\310$\310a\360\010\000\005\020\210t\2202\220U\230#\230T\240\022\2401\330\004\017\210t\2202\220U\230#\230T\240\022\2401\330\004\007\200t\2108\2201\220I\230Q\330\010\017\210q\330\004\t\210\030\220\022\2204\220r\230\024\230R\230x\240r\250\024\250R\250u\260C\260x\270r\300\021\330\004\010\210\010\220\003\2202\220R\220u\230B\230a\330\004\n\210#\210Q\330\004\007\320\007.\250a\330\010\014\210D\220\001\330\006\n\320\n1\260\021\260$\260d\270!\330\010\017\210q\330\014\030\230\001\330\020\023\2204\220s\230-\240q\250\004\250D\260\005\260S\270\r\300Q\300d\310$\310a\360\006\000\005\014\2101\320\000!\240\021\360\034\000\005\010\200s\210!\2103\210b\220\001\330\010\013\2103\210a\210s\220\"\220A\340\014\024\220A\360\006\000\r\025\220A\220Q\220b\230\002\230!\360\006\000\t\016\210R\210r\220\022\2202\220T\230\022\2302\230R\230q\330\010\013\2103\210c\220\021\330\014\022\220$\220a\220q\330\014\024\220B\220a\220r\230\022\2305\240\002\240$\240b\250\004\250A\250R\250r\260\025\260b\270\004\270B\270a\360\006\000\r\025\220A\330\004\013\2101\200\001\330\004\007\200s\210!\2103\210c\220\021\330\010\013\2104\210q\330\010\023\220<\230q\240\003\2403\240a\330\010\017\210r\220\023\220L\240\n\250!\330""\004\007\200s\210!\2103\210c\220\021\330\010\017\320\017 \240\002\240#\240Q\330\t\014\210A\210S\220\003\2201\330\010\017\210}\230B\230c\240\021\330\004\n\210*\220A\220Q\200\001\330\004\007\200s\210!\2103\210c\220\021\330\010\017\320\017\"\240\"\240A\330\t\014\210A\210S\220\003\2201\330\010\017\210\177\230b\240\001\330\004\n\210*\220A\220Q\200\001\330\004\007\200s\210!\2105\220\003\2201\330\010\017\210|\2302\230U\240!\330\t\014\210A\210U\220#\220Q\330\010\017\320\017 \240\002\240%\240q\330\t\014\210A\210U\220#\220Q\330\010\017\210}\230B\230e\2401\330\004\n\210*\220A\220Q\200\001\360*\000\005\010\200s\210!\2107\220#\220Q\330\010\026\220a\330\t\014\210A\210W\220C\220q\330\010\026\220a\340\010\016\210j\230\001\230\021\330\004\024\220A\330\004\010\210\005\320\r(\250\001\250\027\260\001\330\010\r\210[\230\002\230'\240\021\360\006\000\t\022\220\035\230b\240\006\240a\330\010\r\210\\\230\022\2306\240\021\330\010\025\220W\230A\230\\\250\021\250#\250T\260\023\260C\260s\270!\330\004\013\2101\200\001\360(\000\005\010\200s\210$\320\016%\240Q\240e\2505\260\001\330\004\013\320\013\035\230Q\230c\240\023\240D\250\001\200\001\360(\000\005\010\200s\210#\210T\320\021$\240A\240U\250%\250u\260A\330\004\014\210N\230!\2303\230c\240\023\240D\250\001\360\n\000\005\n\210\021\210&\220\006\220e\2301\230B\230a\230q\330\004\t\210\022\2106\220\021\220%\220r\230\022\2303\230d\240!\330\004\013\2101";
    PyObject *data = NULL;
    CYTHON_UNUSED_VAR(__Pyx_DecompressString);
    #endif
    PyObject **stringtab = __pyx_mstate->__pyx_string_tab;
    Py_ssize_t pos = 0;
    for (int i = 0; i < 335; i++) {
      Py_ssize_t bytes_length = index[i].length;
      PyObject *string = PyUnicode_DecodeUTF8(bytes + pos, bytes_length, NULL);
      if (likely(string) && i >= 42) PyUnicode_InternInPlace(&string);
      if (unlikely(!string)) {
        Py_XDECREF(data);
        __PYX_ERR(0, 1, __pyx_L1_error)
      }
      stringtab[i] = string;
      pos += bytes_length;
    }
    for (int i = 335; i < 387; i++) {
      Py_ssize_t bytes_length = index[i].length;
      PyObject *string = PyBytes_FromStringAndSize(bytes + pos, bytes_length);
      stringtab[i] = string;
      pos += bytes_length;
      if (unlikely(!string)) {
        Py_XDECREF(data);
        __PYX_ERR(0, 1, __pyx_L1_error)
      }
    }
    Py_XDECREF(data);
    for (Py_ssize_t i = 0; i < 387; i++) {
      if (unlikely(PyObject_Hash(stringtab[i]) == -1)) {
        __PYX_ERR(0, 1, __pyx_L1_error)
      }
    }
    #if CYTHON_IMMORTAL_CONSTANTS
    {
      PyObject **table = stringtab + 335;
      for (Py_ssize_t i=0; i<52; ++i) {
        #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
        #if PY_VERSION_HEX < 0x030E0000
        if (_Py_IsOwnedByCurrentThread(table[i]) && Py_REFCNT(table[i]) == 1)
        #else
        if (PyUnstable_Object_IsUniquelyReferenced(table[i]))
        #endif
        {
          Py_SET_REFCNT(table[i], _Py_IMMORTAL_REFCNT_LOCAL);
        }
        #else
        Py_SET_REFCNT(table[i], _Py_IMMORTAL_INITIAL_REFCNT);
        #endif
      }
    }
    #endif
  }
  {
    PyObject **numbertab = __pyx_mstate->__pyx_number_tab;
    double const c_constants[] = {0.0,0.5,1.0,-2.0,2.0,3.0,4.0,9.0,1e-3,1e-9,27.0,54.0,0.005,0.125,1e-10};
    for (int i = 0; i < 15; i++) {
      numbertab[i] = PyFloat_FromDouble(c_constants[i]);
      if (unlikely(!numbertab[i])) __PYX_ERR(0, 1, __pyx_L1_error)
    }
  }
  {
    PyObject **numbertab = __pyx_mstate->__pyx_number_tab + 15;
    int8_t const cint_constants_1[] = {0,-1,1,2,3,6};
    for (int i = 0; i < 6; i++) {
      numbertab[i] = PyLong_FromLong(cint_constants_1[i - 0]);
      if (unlikely(!numbertab[i])) __PYX_ERR(0, 1, __pyx_L1_error)
    }
  }
  #if CYTHON_IMMORTAL_CONSTANTS
  {
    PyObject **table = __pyx_mstate->__pyx_number_tab;
    for (Py_ssize_t i=0; i<21; ++i) {
      #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
      #if PY_VERSION_HEX < 0x030E0000
      if (_Py_IsOwnedByCurrentThread(table[i]) && Py_REFCNT(table[i]) == 1)
      #else
      if (PyUnstable_Object_IsUniquelyReferenced(table[i]))
      #endif
      {
        Py_SET_REFCNT(table[i], _Py_IMMORTAL_REFCNT_LOCAL);
      }
      #else
      Py_SET_REFCNT(table[i], _Py_IMMORTAL_INITIAL_REFCNT);
      #endif
    }
  }
  #endif
  return 0;
  __pyx_L1_error:;
  return -1;
}
/* #### Code section: init_codeobjects ### */
typedef struct {
    unsigned int argcount : 3;
    unsigned int num_posonly_args : 1;
    unsigned int num_kwonly_args : 1;
    unsigned int nlocals : 6;
    unsigned int flags : 10;
    unsigned int first_line : 11;
} __Pyx_PyCode_New_function_description;
/* NewCodeObj.proto */
static PyObject* __Pyx_PyCode_New(
        const __Pyx_PyCode_New_function_description descr,
        PyObject * const *varnames,
        PyObject *filename,
        PyObject *funcname,
        PyObject *line_table,
        PyObject *tuple_dedup_map
);


static int __Pyx_CreateCodeObjects(__pyx_mstatetype *__pyx_mstate) {
  PyObject* tuple_dedup_map = PyDict_New();
  if (unlikely(!tuple_dedup_map)) return -1;
  {
    const __Pyx_PyCode_New_function_description descr = {0, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS|CO_GENERATOR), 546};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_t};
    __pyx_mstate_global->__pyx_codeobj_tab[0] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_genexpr, __pyx_mstate->__pyx_kp_b_iso88591_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[0])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {0, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS|CO_GENERATOR), 583};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_t};
    __pyx_mstate_global->__pyx_codeobj_tab[1] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_genexpr, __pyx_mstate->__pyx_kp_b_iso88591_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[1])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 9, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS|CO_VARARGS|CO_GENERATOR), 644};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4, __pyx_mstate->__pyx_n_u_ts, __pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_d};
    __pyx_mstate_global->__pyx_codeobj_tab[2] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_splitCubicAtTC, __pyx_mstate->__pyx_kp_b_iso88591__4, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[2])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 21, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS|CO_VARARGS|CO_GENERATOR), 770};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_d, __pyx_mstate->__pyx_n_u_ts, __pyx_mstate->__pyx_n_u_t1, __pyx_mstate->__pyx_n_u_t2, __pyx_mstate->__pyx_n_u_delta, __pyx_mstate->__pyx_n_u_delta_2, __pyx_mstate->__pyx_n_u_delta_3, __pyx_mstate->__pyx_n_u_a1, __pyx_mstate->__pyx_n_u_b1, __pyx_mstate->__pyx_n_u_c1, __pyx_mstate->__pyx_n_u_d1, __pyx_mstate->__pyx_n_u_i, __pyx_mstate->__pyx_n_u_t1_2, __pyx_mstate->__pyx_n_u_t1_3, __pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4};
    __pyx_mstate_global->__pyx_codeobj_tab[3] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_splitCubicAtTC_2, __pyx_mstate->__pyx_kp_b_iso88591__4, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[3])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {0, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS|CO_GENERATOR), 1252};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_i};
    __pyx_mstate_global->__pyx_codeobj_tab[4] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_genexpr, __pyx_mstate->__pyx_kp_b_iso88591__5, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[4])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1329};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_r};
    __pyx_mstate_global->__pyx_codeobj_tab[5] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_midpoint, __pyx_mstate->__pyx_kp_b_iso88591_A_t3aq_2Qaq, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[5])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1366};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_ts};
    __pyx_mstate_global->__pyx_codeobj_tab[6] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_lambda, __pyx_mstate->__pyx_kp_b_iso88591_S_1Cr_S_1Cr, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[6])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {0, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS|CO_GENERATOR), 1382};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_p};
    __pyx_mstate_global->__pyx_codeobj_tab[7] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_genexpr, __pyx_mstate->__pyx_kp_b_iso88591_1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[7])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {0, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS|CO_GENERATOR), 1485};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_x};
    __pyx_mstate_global->__pyx_codeobj_tab[8] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_genexpr, __pyx_mstate->__pyx_kp_b_iso88591_a_2, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[8])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 5, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 56};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4, __pyx_mstate->__pyx_n_u_tolerance};
    __pyx_mstate_global->__pyx_codeobj_tab[9] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_calcCubicArcLength, __pyx_mstate->__pyx_kp_b_iso88591_1_a_r_wb_gRvWBfA, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[9])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 6, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 75};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_p0, __pyx_mstate->__pyx_n_u_p1, __pyx_mstate->__pyx_n_u_p2, __pyx_mstate->__pyx_n_u_p3, __pyx_mstate->__pyx_n_u_mid, __pyx_mstate->__pyx_n_u_deriv3};
    __pyx_mstate_global->__pyx_codeobj_tab[10] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_split_cubic_into_two, __pyx_mstate->__pyx_kp_b_iso88591_3b_S_b_Ba_c_3b_2T_1_c_4r_d_HA_d, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[10])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 9, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 84};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_mult, __pyx_mstate->__pyx_n_u_p0, __pyx_mstate->__pyx_n_u_p1, __pyx_mstate->__pyx_n_u_p2, __pyx_mstate->__pyx_n_u_p3, __pyx_mstate->__pyx_n_u_arch, __pyx_mstate->__pyx_n_u_box, __pyx_mstate->__pyx_n_u_one, __pyx_mstate->__pyx_n_u_two};
    __pyx_mstate_global->__pyx_codeobj_tab[11] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_calcCubicArcLengthCRecurse, __pyx_mstate->__pyx_kp_b_iso88591_3as_A_Qc_4r_AS_b_1Cr_uBe2XS_RuB, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[11])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 6, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 104};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4, __pyx_mstate->__pyx_n_u_tolerance, __pyx_mstate->__pyx_n_u_mult};
    __pyx_mstate_global->__pyx_codeobj_tab[12] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_calcCubicArcLengthC, __pyx_mstate->__pyx_kp_b_iso88591_4r_Rq_avU_uA, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[12])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 3, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 151};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3};
    __pyx_mstate_global->__pyx_codeobj_tab[13] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_calcQuadraticArcLength, __pyx_mstate->__pyx_kp_b_iso88591_7_F_6, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[13])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 14, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 186};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_scale, __pyx_mstate->__pyx_n_u_origDist, __pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_x0, __pyx_mstate->__pyx_n_u_x1, __pyx_mstate->__pyx_n_u_Len, __pyx_mstate->__pyx_n_u_d0, __pyx_mstate->__pyx_n_u_d1, __pyx_mstate->__pyx_n_u_d, __pyx_mstate->__pyx_n_u_n};
    __pyx_mstate_global->__pyx_codeobj_tab[14] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_calcQuadraticArcLengthC, __pyx_mstate->__pyx_kp_b_iso88591_Rq_Rq_2Q_A_Cq_vS_s_4r_t1Cq_s_Rq, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[14])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 3, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 237};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3};
    __pyx_mstate_global->__pyx_codeobj_tab[15] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_approximateQuadraticArcLength, __pyx_mstate->__pyx_kp_b_iso88591_6_rQR, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[15])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 6, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 254};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_v0, __pyx_mstate->__pyx_n_u_v1, __pyx_mstate->__pyx_n_u_v2};
    __pyx_mstate_global->__pyx_codeobj_tab[16] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_approximateQuadraticArcLengthC, __pyx_mstate->__pyx_kp_b_iso88591_B_A_2T_5Rt2_PPRRS_AT_5_A_Bd_6b, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[16])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 14, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 298};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_ax, __pyx_mstate->__pyx_n_u_ay, __pyx_mstate->__pyx_n_u_bx, __pyx_mstate->__pyx_n_u_by, __pyx_mstate->__pyx_n_u_cx, __pyx_mstate->__pyx_n_u_cy, __pyx_mstate->__pyx_n_u_ax2, __pyx_mstate->__pyx_n_u_ay2, __pyx_mstate->__pyx_n_u_roots, __pyx_mstate->__pyx_n_u_points, __pyx_mstate->__pyx_n_u_t};
    __pyx_mstate_global->__pyx_codeobj_tab[17] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_calcQuadraticBounds, __pyx_mstate->__pyx_kp_b_iso88591_T_t6_V_5_Q_Rq_Rq_A_t3a_WAQc_1_t, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[17])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 332};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4};
    __pyx_mstate_global->__pyx_codeobj_tab[18] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_approximateCubicArcLength, __pyx_mstate->__pyx_kp_b_iso88591_2_Q_r_wb_gRvWBa, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[18])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 9, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 362};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4, __pyx_mstate->__pyx_n_u_v0, __pyx_mstate->__pyx_n_u_v1, __pyx_mstate->__pyx_n_u_v2, __pyx_mstate->__pyx_n_u_v3, __pyx_mstate->__pyx_n_u_v4};
    __pyx_mstate_global->__pyx_codeobj_tab[19] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_approximateCubicArcLengthC, __pyx_mstate->__pyx_kp_b_iso88591_AT_5_A_2Q_Ba_Ba_Ba_AT_4r_RuBa_A, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[19])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 23, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 412};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4, __pyx_mstate->__pyx_n_u_ax, __pyx_mstate->__pyx_n_u_ay, __pyx_mstate->__pyx_n_u_bx, __pyx_mstate->__pyx_n_u_by, __pyx_mstate->__pyx_n_u_cx, __pyx_mstate->__pyx_n_u_cy, __pyx_mstate->__pyx_n_u_dx, __pyx_mstate->__pyx_n_u_dy, __pyx_mstate->__pyx_n_u_ax3, __pyx_mstate->__pyx_n_u_ay3, __pyx_mstate->__pyx_n_u_bx2, __pyx_mstate->__pyx_n_u_by2, __pyx_mstate->__pyx_n_u_xRoots, __pyx_mstate->__pyx_n_u_yRoots, __pyx_mstate->__pyx_n_u_roots, __pyx_mstate->__pyx_n_u_points, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_t};
    __pyx_mstate_global->__pyx_codeobj_tab[20] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_calcCubicBounds, __pyx_mstate->__pyx_kp_b_iso88591_T_t6_V4v_e5PQ_Rq_Rq_Rq_Rq_Qb_E, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[20])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 15, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 450};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_where, __pyx_mstate->__pyx_n_u_isHorizontal, __pyx_mstate->__pyx_n_u_pt1x, __pyx_mstate->__pyx_n_u_pt1y, __pyx_mstate->__pyx_n_u_pt2x, __pyx_mstate->__pyx_n_u_pt2y, __pyx_mstate->__pyx_n_u_ax, __pyx_mstate->__pyx_n_u_ay, __pyx_mstate->__pyx_n_u_bx, __pyx_mstate->__pyx_n_u_by, __pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_midPt};
    __pyx_mstate_global->__pyx_codeobj_tab[21] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_splitLine, __pyx_mstate->__pyx_kp_b_iso88591_H_b_b_S_r_A_r_a_s_c_1_r_D_2Rr_S, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[21])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 11, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 507};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_where, __pyx_mstate->__pyx_n_u_isHorizontal, __pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_solutions, __pyx_mstate->__pyx_n_u_genexpr, __pyx_mstate->__pyx_n_u_genexpr};
    __pyx_mstate_global->__pyx_codeobj_tab[22] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_splitQuadratic, __pyx_mstate->__pyx_kp_b_iso88591_F_s_Qe5_a_1N_A_aq_t1_r_e1_Qc_D, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[22])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {6, 0, 0, 13, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 552};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4, __pyx_mstate->__pyx_n_u_where, __pyx_mstate->__pyx_n_u_isHorizontal, __pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_d, __pyx_mstate->__pyx_n_u_solutions, __pyx_mstate->__pyx_n_u_genexpr, __pyx_mstate->__pyx_n_u_genexpr};
    __pyx_mstate_global->__pyx_codeobj_tab[23] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_splitCubic, __pyx_mstate->__pyx_kp_b_iso88591_6_s_T_AU_uA_1O1A_2Q_aq_t1_r_e5, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[23])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 7, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS|CO_VARARGS), 589};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_ts, __pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_c};
    __pyx_mstate_global->__pyx_codeobj_tab[24] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_splitQuadraticAtT_2, __pyx_mstate->__pyx_kp_b_iso88591_s_Qe5_Qc_D, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[24])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 10, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS|CO_VARARGS), 613};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4, __pyx_mstate->__pyx_n_u_ts, __pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_d, __pyx_mstate->__pyx_n_u_split};
    __pyx_mstate_global->__pyx_codeobj_tab[25] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_splitCubicAtT_2, __pyx_mstate->__pyx_kp_b_iso88591_s_T_AU_uA_N_3c_D_e1Baq_6_r_3d_1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[25])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 12, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 668};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_t2, __pyx_mstate->__pyx_n_u_1_t, __pyx_mstate->__pyx_n_u_1_t_2, __pyx_mstate->__pyx_n_u_2_t_1_t, __pyx_mstate->__pyx_n_u_pointAtT, __pyx_mstate->__pyx_n_u_off1, __pyx_mstate->__pyx_n_u_off2};
    __pyx_mstate_global->__pyx_codeobj_tab[26] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_splitCubicIntoTwoAtTC, __pyx_mstate->__pyx_kp_b_iso88591_0_2Q_2Rq_U_A_r_2Rq_r_b_Bb_7_Bb, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[26])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 26, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS|CO_VARARGS), 708};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_ts, __pyx_mstate->__pyx_n_u_segments, __pyx_mstate->__pyx_n_u_ax, __pyx_mstate->__pyx_n_u_ay, __pyx_mstate->__pyx_n_u_bx, __pyx_mstate->__pyx_n_u_by, __pyx_mstate->__pyx_n_u_cx, __pyx_mstate->__pyx_n_u_cy, __pyx_mstate->__pyx_n_u_i, __pyx_mstate->__pyx_n_u_t1, __pyx_mstate->__pyx_n_u_t2, __pyx_mstate->__pyx_n_u_delta, __pyx_mstate->__pyx_n_u_delta_2, __pyx_mstate->__pyx_n_u_a1x, __pyx_mstate->__pyx_n_u_a1y, __pyx_mstate->__pyx_n_u_b1x, __pyx_mstate->__pyx_n_u_b1y, __pyx_mstate->__pyx_n_u_t1_2, __pyx_mstate->__pyx_n_u_c1x, __pyx_mstate->__pyx_n_u_c1y, __pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3};
    __pyx_mstate_global->__pyx_codeobj_tab[27] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_splitQuadraticAtT, __pyx_mstate->__pyx_kp_b_iso88591_Qa_q_gQc_gQa_Q_Q_Q_U_3at2Q_Rq_R, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[27])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 34, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS|CO_VARARGS), 735};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_d, __pyx_mstate->__pyx_n_u_ts, __pyx_mstate->__pyx_n_u_segments, __pyx_mstate->__pyx_n_u_ax, __pyx_mstate->__pyx_n_u_ay, __pyx_mstate->__pyx_n_u_bx, __pyx_mstate->__pyx_n_u_by, __pyx_mstate->__pyx_n_u_cx, __pyx_mstate->__pyx_n_u_cy, __pyx_mstate->__pyx_n_u_dx, __pyx_mstate->__pyx_n_u_dy, __pyx_mstate->__pyx_n_u_i, __pyx_mstate->__pyx_n_u_t1, __pyx_mstate->__pyx_n_u_t2, __pyx_mstate->__pyx_n_u_delta, __pyx_mstate->__pyx_n_u_delta_2, __pyx_mstate->__pyx_n_u_delta_3, __pyx_mstate->__pyx_n_u_t1_2, __pyx_mstate->__pyx_n_u_t1_3, __pyx_mstate->__pyx_n_u_a1x, __pyx_mstate->__pyx_n_u_a1y, __pyx_mstate->__pyx_n_u_b1x, __pyx_mstate->__pyx_n_u_b1y, __pyx_mstate->__pyx_n_u_c1x, __pyx_mstate->__pyx_n_u_c1y, __pyx_mstate->__pyx_n_u_d1x, __pyx_mstate->__pyx_n_u_d1y, __pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4};
    __pyx_mstate_global->__pyx_codeobj_tab[28] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_splitCubicAtT, __pyx_mstate->__pyx_kp_b_iso88591_Qa_gQc_gQa_q_Q_Q_Q_Q_U_3at2Q_Rq, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[28])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 7, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 815};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_sqrt, __pyx_mstate->__pyx_n_u_roots, __pyx_mstate->__pyx_n_u_DD, __pyx_mstate->__pyx_n_u_rDD};
    __pyx_mstate_global->__pyx_codeobj_tab[29] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_solveQuadratic, __pyx_mstate->__pyx_kp_b_iso88591_s_3b_3as_A_A_AQb_Rr_2T_2Rq_3c_a, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[29])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 19, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 848};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_d, __pyx_mstate->__pyx_n_u_a1, __pyx_mstate->__pyx_n_u_a2, __pyx_mstate->__pyx_n_u_a3, __pyx_mstate->__pyx_n_u_Q, __pyx_mstate->__pyx_n_u_R, __pyx_mstate->__pyx_n_u_R2, __pyx_mstate->__pyx_n_u_Q3, __pyx_mstate->__pyx_n_u_R2_Q3, __pyx_mstate->__pyx_n_u_x, __pyx_mstate->__pyx_n_u_theta, __pyx_mstate->__pyx_n_u_rQ2, __pyx_mstate->__pyx_n_u_a1_3, __pyx_mstate->__pyx_n_u_x0, __pyx_mstate->__pyx_n_u_x1, __pyx_mstate->__pyx_n_u_x2};
    __pyx_mstate_global->__pyx_codeobj_tab[30] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_solveCubic, __pyx_mstate->__pyx_kp_b_iso88591_L_s_3b_Qc_A_Qa_2Q_2Q_2Q_Bc_4r_R, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[30])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 13, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 945};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_x2, __pyx_mstate->__pyx_n_u_y2, __pyx_mstate->__pyx_n_u_x3, __pyx_mstate->__pyx_n_u_y3, __pyx_mstate->__pyx_n_u_cx, __pyx_mstate->__pyx_n_u_cy, __pyx_mstate->__pyx_n_u_bx, __pyx_mstate->__pyx_n_u_by, __pyx_mstate->__pyx_n_u_ax, __pyx_mstate->__pyx_n_u_ay};
    __pyx_mstate_global->__pyx_codeobj_tab[31] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_calcQuadraticParameters, __pyx_mstate->__pyx_kp_b_iso88591_Q_Q_Q_Rt2Q_Rt2Q_Bc_1_Bc_1_1D_d, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[31])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 18, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 956};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4, __pyx_mstate->__pyx_n_u_x2, __pyx_mstate->__pyx_n_u_y2, __pyx_mstate->__pyx_n_u_x3, __pyx_mstate->__pyx_n_u_y3, __pyx_mstate->__pyx_n_u_x4, __pyx_mstate->__pyx_n_u_y4, __pyx_mstate->__pyx_n_u_dx, __pyx_mstate->__pyx_n_u_dy, __pyx_mstate->__pyx_n_u_cx, __pyx_mstate->__pyx_n_u_cy, __pyx_mstate->__pyx_n_u_bx, __pyx_mstate->__pyx_n_u_by, __pyx_mstate->__pyx_n_u_ax, __pyx_mstate->__pyx_n_u_ay};
    __pyx_mstate_global->__pyx_codeobj_tab[32] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_calcCubicParameters, __pyx_mstate->__pyx_kp_b_iso88591_Q_Q_Q_Q_Rt2Q_Rt2Q_Rt2T_1_Rt2T_1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[32])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 15, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 988};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_ax, __pyx_mstate->__pyx_n_u_ay, __pyx_mstate->__pyx_n_u_bx, __pyx_mstate->__pyx_n_u_by, __pyx_mstate->__pyx_n_u_cx, __pyx_mstate->__pyx_n_u_cy, __pyx_mstate->__pyx_n_u_x1, __pyx_mstate->__pyx_n_u_y1, __pyx_mstate->__pyx_n_u_x2, __pyx_mstate->__pyx_n_u_y2, __pyx_mstate->__pyx_n_u_x3, __pyx_mstate->__pyx_n_u_y3};
    __pyx_mstate_global->__pyx_codeobj_tab[33] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_calcQuadraticPoints, __pyx_mstate->__pyx_kp_b_iso88591_Q_Q_Q_RuBa_RuBa_Bc_1_Bc_1_1D_d, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[33])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 20, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1001};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_d, __pyx_mstate->__pyx_n_u_ax, __pyx_mstate->__pyx_n_u_ay, __pyx_mstate->__pyx_n_u_bx, __pyx_mstate->__pyx_n_u_by, __pyx_mstate->__pyx_n_u_cx, __pyx_mstate->__pyx_n_u_cy, __pyx_mstate->__pyx_n_u_dx, __pyx_mstate->__pyx_n_u_dy, __pyx_mstate->__pyx_n_u_x1, __pyx_mstate->__pyx_n_u_y1, __pyx_mstate->__pyx_n_u_x2, __pyx_mstate->__pyx_n_u_y2, __pyx_mstate->__pyx_n_u_x3, __pyx_mstate->__pyx_n_u_y3, __pyx_mstate->__pyx_n_u_x4, __pyx_mstate->__pyx_n_u_y4};
    __pyx_mstate_global->__pyx_codeobj_tab[34] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_calcCubicPoints, __pyx_mstate->__pyx_kp_b_iso88591_Q_Q_Q_Q_RuBa_RuBa_Rt2T_1_Rt2T_1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[34])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 3, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1040};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_t};
    __pyx_mstate_global->__pyx_codeobj_tab[35] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_linePointAtT, __pyx_mstate->__pyx_kp_b_iso88591_AS_Cr_3b_1Cr_c_S_Cr_AS, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[35])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 6, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1053};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_x, __pyx_mstate->__pyx_n_u_y};
    __pyx_mstate_global->__pyx_codeobj_tab[36] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_quadraticPointAtT, __pyx_mstate->__pyx_kp_b_iso88591_2S_2Rs_Cq_2Rs_Bc_2Rs_3b_Bb_1A_2, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[36])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 10, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1068};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_t2, __pyx_mstate->__pyx_n_u_1_t, __pyx_mstate->__pyx_n_u_1_t_2, __pyx_mstate->__pyx_n_u_x, __pyx_mstate->__pyx_n_u_y};
    __pyx_mstate_global->__pyx_codeobj_tab[37] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_cubicPointAtT, __pyx_mstate->__pyx_kp_b_iso88591_2Q_2Rq_U_A_r_b_1A_Cwb_Cq_2U_Cr, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[37])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 8, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1094};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_pt1, __pyx_mstate->__pyx_n_u_pt2, __pyx_mstate->__pyx_n_u_pt3, __pyx_mstate->__pyx_n_u_pt4, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_t2, __pyx_mstate->__pyx_n_u_1_t, __pyx_mstate->__pyx_n_u_1_t_2};
    __pyx_mstate_global->__pyx_codeobj_tab[38] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_cubicPointAtTC, __pyx_mstate->__pyx_kp_b_iso88591_2Q_2Rq_U_A_7_E_4r_3gRr_4r_b_2U, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[38])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1119};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_seg, __pyx_mstate->__pyx_n_u_t};
    __pyx_mstate_global->__pyx_codeobj_tab[39] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_segmentPointAtT, __pyx_mstate->__pyx_kp_b_iso88591_s_5_1_2U_AU_Q_q_AU_Q_Be1_AQ, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[39])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 9, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1134};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_s, __pyx_mstate->__pyx_n_u_e, __pyx_mstate->__pyx_n_u_pt, __pyx_mstate->__pyx_n_u_sx, __pyx_mstate->__pyx_n_u_sy, __pyx_mstate->__pyx_n_u_ex, __pyx_mstate->__pyx_n_u_ey, __pyx_mstate->__pyx_n_u_px, __pyx_mstate->__pyx_n_u_py};
    __pyx_mstate_global->__pyx_codeobj_tab[40] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_line_t_of_pt, __pyx_mstate->__pyx_kp_b_iso88591_Q_Q_Q_s_3b_Bhd_Qc_4r_s_3b_Bc_Rq, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[40])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 5, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1148};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_origin, __pyx_mstate->__pyx_n_u_xDiff, __pyx_mstate->__pyx_n_u_yDiff};
    __pyx_mstate_global->__pyx_codeobj_tab[41] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_both_points_are_on_same_side_of, __pyx_mstate->__pyx_kp_b_iso88591_Qas_F_4s_1Cr_q_Qas_F_4s_1Cr_q_5, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[41])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 17, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1154};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_s1, __pyx_mstate->__pyx_n_u_e1, __pyx_mstate->__pyx_n_u_s2, __pyx_mstate->__pyx_n_u_e2, __pyx_mstate->__pyx_n_u_s1x, __pyx_mstate->__pyx_n_u_s1y, __pyx_mstate->__pyx_n_u_e1x, __pyx_mstate->__pyx_n_u_e1y, __pyx_mstate->__pyx_n_u_s2x, __pyx_mstate->__pyx_n_u_s2y, __pyx_mstate->__pyx_n_u_e2x, __pyx_mstate->__pyx_n_u_e2y, __pyx_mstate->__pyx_n_u_x, __pyx_mstate->__pyx_n_u_slope34, __pyx_mstate->__pyx_n_u_y, __pyx_mstate->__pyx_n_u_pt, __pyx_mstate->__pyx_n_u_slope12};
    __pyx_mstate_global->__pyx_codeobj_tab[42] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_lineLineIntersections, __pyx_mstate->__pyx_kp_b_iso88591_q_q_q_q_HAU_t4xq_U_d_hauTU_q_HA, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[42])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1232};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_segment, __pyx_mstate->__pyx_n_u_start, __pyx_mstate->__pyx_n_u_end, __pyx_mstate->__pyx_n_u_angle};
    __pyx_mstate_global->__pyx_codeobj_tab[43] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_alignment_transformation, __pyx_mstate->__pyx_kp_b_iso88591_G1A_1_D_as_3b_Qd_Qc_5_87_1F_AQe, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[43])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 10, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1242};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_curve, __pyx_mstate->__pyx_n_u_line, __pyx_mstate->__pyx_n_u_aligned_curve, __pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_intersections, __pyx_mstate->__pyx_n_u_d, __pyx_mstate->__pyx_n_u_genexpr, __pyx_mstate->__pyx_n_u_genexpr};
    __pyx_mstate_global->__pyx_codeobj_tab[44] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_curve_line_intersections_t, __pyx_mstate->__pyx_kp_b_iso88591_Qe3C1A_s_7_Q_3d_1_aq_Qat1AQ_AWC, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[44])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 7, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1255};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_curve, __pyx_mstate->__pyx_n_u_line, __pyx_mstate->__pyx_n_u_pointFinder, __pyx_mstate->__pyx_n_u_intersections, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_pt, __pyx_mstate->__pyx_n_u_line_t};
    __pyx_mstate_global->__pyx_codeobj_tab[45] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_curveLineIntersections, __pyx_mstate->__pyx_kp_b_iso88591_s_7_Q_a_AWCq_a_j_A_b_a_6_WA_T_C, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[45])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1293};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_c};
    __pyx_mstate_global->__pyx_codeobj_tab[46] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_curve_bounds, __pyx_mstate->__pyx_kp_b_iso88591_s_3c_A_AS_1_b_AQ, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[46])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 5, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1301};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_s, __pyx_mstate->__pyx_n_u_e, __pyx_mstate->__pyx_n_u_midpoint};
    __pyx_mstate_global->__pyx_codeobj_tab[47] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_split_segment_at_t, __pyx_mstate->__pyx_kp_b_iso88591_s_3c_4q_q_3a_r_L_s_3c_Q_AS_1_Bc, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[47])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 25, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1313};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_curve1, __pyx_mstate->__pyx_n_u_curve2, __pyx_mstate->__pyx_n_u_precision, __pyx_mstate->__pyx_n_u_range1, __pyx_mstate->__pyx_n_u_range2, __pyx_mstate->__pyx_n_u_bounds1, __pyx_mstate->__pyx_n_u_bounds2, __pyx_mstate->__pyx_n_u_intersects, __pyx_mstate->__pyx_n_u__6, __pyx_mstate->__pyx_n_u_midpoint, __pyx_mstate->__pyx_n_u_midpoint, __pyx_mstate->__pyx_n_u_c11, __pyx_mstate->__pyx_n_u_c12, __pyx_mstate->__pyx_n_u_c11_range, __pyx_mstate->__pyx_n_u_c12_range, __pyx_mstate->__pyx_n_u_c21, __pyx_mstate->__pyx_n_u_c22, __pyx_mstate->__pyx_n_u_c21_range, __pyx_mstate->__pyx_n_u_c22_range, __pyx_mstate->__pyx_n_u_found, __pyx_mstate->__pyx_n_u_unique_key, __pyx_mstate->__pyx_n_u_seen, __pyx_mstate->__pyx_n_u_unique_values, __pyx_mstate->__pyx_n_u_ts, __pyx_mstate->__pyx_n_u_key};
    __pyx_mstate_global->__pyx_codeobj_tab[48] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_curve_curve_intersections_t, __pyx_mstate->__pyx_kp_b_iso88591_M_m1A_m1A_t1_q_t1_q_HAYa_t1_q_x, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[48])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1380};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_segment, __pyx_mstate->__pyx_n_u_maybeline, __pyx_mstate->__pyx_n_u_genexpr, __pyx_mstate->__pyx_n_u_genexpr};
    __pyx_mstate_global->__pyx_codeobj_tab[49] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_is_linelike, __pyx_mstate->__pyx_kp_b_iso88591_2B_1_1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[49])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 8, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1385};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_curve1, __pyx_mstate->__pyx_n_u_curve2, __pyx_mstate->__pyx_n_u_line1, __pyx_mstate->__pyx_n_u_line2, __pyx_mstate->__pyx_n_u_hits, __pyx_mstate->__pyx_n_u_intersection_ts, __pyx_mstate->__pyx_n_u_x, __pyx_mstate->__pyx_n_u_ts};
    __pyx_mstate_global->__pyx_codeobj_tab[50] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_curveCurveIntersections, __pyx_mstate->__pyx_kp_b_iso88591_1A_at6_1_q_F_4vRq_1L_AU_Qe3auD, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[50])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 5, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1427};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_seg1, __pyx_mstate->__pyx_n_u_seg2, __pyx_mstate->__pyx_n_u_swapped, __pyx_mstate->__pyx_n_u_intersections, __pyx_mstate->__pyx_n_u_i};
    __pyx_mstate_global->__pyx_codeobj_tab[51] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_segmentSegmentIntersections, __pyx_mstate->__pyx_kp_b_iso88591_a_s_6_3aq_gV1_s_6_1_3avRq_31F_2, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[51])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1475};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_obj, __pyx_mstate->__pyx_n_u_it, __pyx_mstate->__pyx_n_u_genexpr, __pyx_mstate->__pyx_n_u_genexpr};
    __pyx_mstate_global->__pyx_codeobj_tab[52] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_segmentrepr, __pyx_mstate->__pyx_kp_b_iso88591_T_uBa_wb_E_a, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[52])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1488};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_segments, __pyx_mstate->__pyx_n_u_segment};
    __pyx_mstate_global->__pyx_codeobj_tab[53] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_Lib_fontTools_misc_bezierTools_p, __pyx_mstate->__pyx_n_u_printSegments, __pyx_mstate->__pyx_kp_b_iso88591_1_Ql_1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[53])) goto bad;
  }
  Py_DECREF(tuple_dedup_map);
  return 0;
  bad:
  Py_DECREF(tuple_dedup_map);
  return -1;
}
/* #### Code section: init_globals ### */

static int __Pyx_InitGlobals(void) {
  /* PythonCompatibility.init */
  if (likely(__Pyx_init_co_variables() == 0)); else
  
  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)

  /* CommonTypesMetaclass.init */
  if (likely(__pyx_CommonTypesMetaclass_init(__pyx_m) == 0)); else
  
  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)

  /* Generator.init */
  if (likely(__pyx_Generator_init(__pyx_m) == 0)); else
  
  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)

  /* CachedMethodType.init */
  #if CYTHON_COMPILING_IN_LIMITED_API
  {
      PyObject *typesModule=NULL;
      typesModule = PyImport_ImportModule("types");
      if (typesModule) {
          __pyx_mstate_global->__Pyx_CachedMethodType = PyObject_GetAttrString(typesModule, "MethodType");
          Py_DECREF(typesModule);
      }
  } // error handling follows
  #endif
  
  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)

  /* CythonFunctionShared.init */
  if (likely(__pyx_CyFunction_init(__pyx_m) == 0)); else
  
  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)

  return 0;
  __pyx_L1_error:;
  return -1;
}
/* #### Code section: cleanup_globals ### */
/* #### Code section: cleanup_module ### */
/* #### Code section: main_method ### */
/* #### Code section: utility_code_pragmas ### */
#ifdef _MSC_VER
#pragma warning( push )
/* Warning 4127: conditional expression is constant
 * Cython uses constant conditional expressions to allow in inline functions to be optimized at
 * compile-time, so this warning is not useful
 */
#pragma warning( disable : 4127 )
#endif



/* #### Code section: utility_code_def ### */

/* --- Runtime support code --- */
/* Refnanny */
#if CYTHON_REFNANNY
static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname) {
    PyObject *m = NULL, *p = NULL;
    void *r = NULL;
    m = PyImport_ImportModule(modname);
    if (!m) goto end;
    p = PyObject_GetAttrString(m, "RefNannyAPI");
    if (!p) goto end;
    r = PyLong_AsVoidPtr(p);
end:
    Py_XDECREF(p);
    Py_XDECREF(m);
    return (__Pyx_RefNannyAPIStruct *)r;
}
#endif

/* PyErrExceptionMatches (used by PyObjectGetAttrStrNoError) */
#if CYTHON_FAST_THREAD_STATE
static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    n = PyTuple_GET_SIZE(tuple);
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
    for (i=0; i<n; i++) {
        if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
    int result;
    PyObject *exc_type;
#if PY_VERSION_HEX >= 0x030C00A6
    PyObject *current_exception = tstate->current_exception;
    if (unlikely(!current_exception)) return 0;
    exc_type = (PyObject*) Py_TYPE(current_exception);
    if (exc_type == err) return 1;
#else
    exc_type = tstate->curexc_type;
    if (exc_type == err) return 1;
    if (unlikely(!exc_type)) return 0;
#endif
    #if CYTHON_AVOID_BORROWED_REFS
    Py_INCREF(exc_type);
    #endif
    if (unlikely(PyTuple_Check(err))) {
        result = __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
    } else {
        result = __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
    }
    #if CYTHON_AVOID_BORROWED_REFS
    Py_DECREF(exc_type);
    #endif
    return result;
}
#endif

/* PyErrFetchRestore (used by PyObjectGetAttrStrNoError) */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
#if PY_VERSION_HEX >= 0x030C00A6
    PyObject *tmp_value;
    assert(type == NULL || (value != NULL && type == (PyObject*) Py_TYPE(value)));
    if (value) {
        #if CYTHON_COMPILING_IN_CPYTHON
        if (unlikely(((PyBaseExceptionObject*) value)->traceback != tb))
        #endif
            PyException_SetTraceback(value, tb);
    }
    tmp_value = tstate->current_exception;
    tstate->current_exception = value;
    Py_XDECREF(tmp_value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
#else
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    tmp_type = tstate->curexc_type;
    tmp_value = tstate->curexc_value;
    tmp_tb = tstate->curexc_traceback;
    tstate->curexc_type = type;
    tstate->curexc_value = value;
    tstate->curexc_traceback = tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#endif
}
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
#if PY_VERSION_HEX >= 0x030C00A6
    PyObject* exc_value;
    exc_value = tstate->current_exception;
    tstate->current_exception = 0;
    *value = exc_value;
    *type = NULL;
    *tb = NULL;
    if (exc_value) {
        *type = (PyObject*) Py_TYPE(exc_value);
        Py_INCREF(*type);
        #if CYTHON_COMPILING_IN_CPYTHON
        *tb = ((PyBaseExceptionObject*) exc_value)->traceback;
        Py_XINCREF(*tb);
        #else
        *tb = PyException_GetTraceback(exc_value);
        #endif
    }
#else
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#endif
}
#endif

/* PyObjectGetAttrStr (used by PyObjectGetAttrStrNoError) */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) {
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_getattro))
        return tp->tp_getattro(obj, attr_name);
    return PyObject_GetAttr(obj, attr_name);
}
#endif

/* PyObjectGetAttrStrNoError (used by GetBuiltinName) */
#if __PYX_LIMITED_VERSION_HEX < 0x030d0000
static void __Pyx_PyObject_GetAttrStr_ClearAttributeError(void) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (likely(__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        __Pyx_PyErr_Clear();
}
#endif
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name) {
    PyObject *result;
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
    (void) PyObject_GetOptionalAttr(obj, attr_name, &result);
    return result;
#else
#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_TYPE_SLOTS
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_getattro == PyObject_GenericGetAttr)) {
        return _PyObject_GenericGetAttrWithDict(obj, attr_name, NULL, 1);
    }
#endif
    result = __Pyx_PyObject_GetAttrStr(obj, attr_name);
    if (unlikely(!result)) {
        __Pyx_PyObject_GetAttrStr_ClearAttributeError();
    }
    return result;
#endif
}

/* GetBuiltinName */
static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
    PyObject* result = __Pyx_PyObject_GetAttrStrNoError(__pyx_mstate_global->__pyx_b, name);
    if (unlikely(!result) && !PyErr_Occurred()) {
        PyErr_Format(PyExc_NameError,
            "name '%U' is not defined", name);
    }
    return result;
}

/* TupleAndListFromArray (used by fastcall) */
#if !CYTHON_COMPILING_IN_CPYTHON && CYTHON_METH_FASTCALL
static CYTHON_INLINE PyObject *
__Pyx_PyTuple_FromArray(PyObject *const *src, Py_ssize_t n)
{
    PyObject *res;
    Py_ssize_t i;
    if (n <= 0) {
        return __Pyx_NewRef(__pyx_mstate_global->__pyx_empty_tuple);
    }
    res = PyTuple_New(n);
    if (unlikely(res == NULL)) return NULL;
    for (i = 0; i < n; i++) {
        if (unlikely(__Pyx_PyTuple_SET_ITEM(res, i, src[i]) < (0))) {
            Py_DECREF(res);
            return NULL;
        }
        Py_INCREF(src[i]);
    }
    return res;
}
#elif CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE void __Pyx_copy_object_array(PyObject *const *CYTHON_RESTRICT src, PyObject** CYTHON_RESTRICT dest, Py_ssize_t length) {
    PyObject *v;
    Py_ssize_t i;
    for (i = 0; i < length; i++) {
        v = dest[i] = src[i];
        Py_INCREF(v);
    }
}
static CYTHON_INLINE PyObject *
__Pyx_PyTuple_FromArray(PyObject *const *src, Py_ssize_t n)
{
    PyObject *res;
    if (n <= 0) {
        return __Pyx_NewRef(__pyx_mstate_global->__pyx_empty_tuple);
    }
    res = PyTuple_New(n);
    if (unlikely(res == NULL)) return NULL;
    __Pyx_copy_object_array(src, ((PyTupleObject*)res)->ob_item, n);
    return res;
}
static CYTHON_INLINE PyObject *
__Pyx_PyList_FromArray(PyObject *const *src, Py_ssize_t n)
{
    PyObject *res;
    if (n <= 0) {
        return PyList_New(0);
    }
    res = PyList_New(n);
    if (unlikely(res == NULL)) return NULL;
    __Pyx_copy_object_array(src, ((PyListObject*)res)->ob_item, n);
    return res;
}
#endif

/* BytesEquals (used by UnicodeEquals) */
static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_GRAAL ||\
        !(CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS)
    return PyObject_RichCompareBool(s1, s2, equals);
#else
    if (s1 == s2) {
        return (equals == Py_EQ);
    } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
        const char *ps1, *ps2;
        Py_ssize_t length = PyBytes_GET_SIZE(s1);
        if (length != PyBytes_GET_SIZE(s2))
            return (equals == Py_NE);
        ps1 = PyBytes_AS_STRING(s1);
        ps2 = PyBytes_AS_STRING(s2);
        if (ps1[0] != ps2[0]) {
            return (equals == Py_NE);
        } else if (length == 1) {
            return (equals == Py_EQ);
        } else {
            int result;
#if CYTHON_USE_UNICODE_INTERNALS && (PY_VERSION_HEX < 0x030B0000)
            Py_hash_t hash1, hash2;
            hash1 = ((PyBytesObject*)s1)->ob_shash;
            hash2 = ((PyBytesObject*)s2)->ob_shash;
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                return (equals == Py_NE);
            }
#endif
            result = memcmp(ps1, ps2, (size_t)length);
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
        return (equals == Py_NE);
    } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
        return (equals == Py_NE);
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
#endif
}

/* UnicodeEquals (used by fastcall) */
static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_GRAAL
    return PyObject_RichCompareBool(s1, s2, equals);
#else
    int s1_is_unicode, s2_is_unicode;
    if (s1 == s2) {
        goto return_eq;
    }
    s1_is_unicode = PyUnicode_CheckExact(s1);
    s2_is_unicode = PyUnicode_CheckExact(s2);
    if (s1_is_unicode & s2_is_unicode) {
        Py_ssize_t length, length2;
        int kind;
        void *data1, *data2;
        #if !CYTHON_COMPILING_IN_LIMITED_API
        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
            return -1;
        #endif
        length = __Pyx_PyUnicode_GET_LENGTH(s1);
        #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely(length < 0)) return -1;
        #endif
        length2 = __Pyx_PyUnicode_GET_LENGTH(s2);
        #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely(length2 < 0)) return -1;
        #endif
        if (length != length2) {
            goto return_ne;
        }
#if CYTHON_USE_UNICODE_INTERNALS
        {
            Py_hash_t hash1, hash2;
            hash1 = ((PyASCIIObject*)s1)->hash;
            hash2 = ((PyASCIIObject*)s2)->hash;
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                goto return_ne;
            }
        }
#endif
        kind = __Pyx_PyUnicode_KIND(s1);
        if (kind != __Pyx_PyUnicode_KIND(s2)) {
            goto return_ne;
        }
        data1 = __Pyx_PyUnicode_DATA(s1);
        data2 = __Pyx_PyUnicode_DATA(s2);
        if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
            goto return_ne;
        } else if (length == 1) {
            goto return_eq;
        } else {
            int result = memcmp(data1, data2, (size_t)(length * kind));
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & s2_is_unicode) {
        goto return_ne;
    } else if ((s2 == Py_None) & s1_is_unicode) {
        goto return_ne;
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
return_eq:
    return (equals == Py_EQ);
return_ne:
    return (equals == Py_NE);
#endif
}

/* fastcall */
#if CYTHON_METH_FASTCALL
static CYTHON_INLINE PyObject * __Pyx_GetKwValue_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues, PyObject *s)
{
    Py_ssize_t i, n = __Pyx_PyTuple_GET_SIZE(kwnames);
    #if !CYTHON_ASSUME_SAFE_SIZE
    if (unlikely(n == -1)) return NULL;
    #endif
    for (i = 0; i < n; i++)
    {
        PyObject *namei = __Pyx_PyTuple_GET_ITEM(kwnames, i);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(!namei)) return NULL;
        #endif
        if (s == namei) return kwvalues[i];
    }
    for (i = 0; i < n; i++)
    {
        PyObject *namei = __Pyx_PyTuple_GET_ITEM(kwnames, i);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(!namei)) return NULL;
        #endif
        int eq = __Pyx_PyUnicode_Equals(s, namei, Py_EQ);
        if (unlikely(eq != 0)) {
            if (unlikely(eq < 0)) return NULL;
            return kwvalues[i];
        }
    }
    return NULL;
}
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000 || CYTHON_COMPILING_IN_LIMITED_API
CYTHON_UNUSED static PyObject *__Pyx_KwargsAsDict_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues) {
    Py_ssize_t i, nkwargs;
    PyObject *dict;
#if !CYTHON_ASSUME_SAFE_SIZE
    nkwargs = PyTuple_Size(kwnames);
    if (unlikely(nkwargs < 0)) return NULL;
#else
    nkwargs = PyTuple_GET_SIZE(kwnames);
#endif
    dict = PyDict_New();
    if (unlikely(!dict))
        return NULL;
    for (i=0; i<nkwargs; i++) {
#if !CYTHON_ASSUME_SAFE_MACROS
        PyObject *key = PyTuple_GetItem(kwnames, i);
        if (!key) goto bad;
#else
        PyObject *key = PyTuple_GET_ITEM(kwnames, i);
#endif
        if (unlikely(PyDict_SetItem(dict, key, kwvalues[i]) < 0))
            goto bad;
    }
    return dict;
bad:
    Py_DECREF(dict);
    return NULL;
}
#endif
#endif

/* PyObjectCall (used by PyObjectFastCall) */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    ternaryfunc call = Py_TYPE(func)->tp_call;
    if (unlikely(!call))
        return PyObject_Call(func, arg, kw);
    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object")))
        return NULL;
    result = (*call)(func, arg, kw);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

/* PyObjectCallMethO (used by PyObjectFastCall) */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
    PyObject *self, *result;
    PyCFunction cfunc;
    cfunc = __Pyx_CyOrPyCFunction_GET_FUNCTION(func);
    self = __Pyx_CyOrPyCFunction_GET_SELF(func);
    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object")))
        return NULL;
    result = cfunc(self, arg);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

/* PyObjectFastCall (used by PyObjectCallOneArg) */
#if PY_VERSION_HEX < 0x03090000 || CYTHON_COMPILING_IN_LIMITED_API
static PyObject* __Pyx_PyObject_FastCall_fallback(PyObject *func, PyObject * const*args, size_t nargs, PyObject *kwargs) {
    PyObject *argstuple;
    PyObject *result = 0;
    size_t i;
    argstuple = PyTuple_New((Py_ssize_t)nargs);
    if (unlikely(!argstuple)) return NULL;
    for (i = 0; i < nargs; i++) {
        Py_INCREF(args[i]);
        if (__Pyx_PyTuple_SET_ITEM(argstuple, (Py_ssize_t)i, args[i]) != (0)) goto bad;
    }
    result = __Pyx_PyObject_Call(func, argstuple, kwargs);
  bad:
    Py_DECREF(argstuple);
    return result;
}
#endif
#if CYTHON_VECTORCALL && !CYTHON_COMPILING_IN_LIMITED_API
  #if PY_VERSION_HEX < 0x03090000
    #define __Pyx_PyVectorcall_Function(callable) _PyVectorcall_Function(callable)
  #elif CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE vectorcallfunc __Pyx_PyVectorcall_Function(PyObject *callable) {
    PyTypeObject *tp = Py_TYPE(callable);
    #if defined(__Pyx_CyFunction_USED)
    if (__Pyx_CyFunction_CheckExact(callable)) {
        return __Pyx_CyFunction_func_vectorcall(callable);
    }
    #endif
    if (!PyType_HasFeature(tp, Py_TPFLAGS_HAVE_VECTORCALL)) {
        return NULL;
    }
    assert(PyCallable_Check(callable));
    Py_ssize_t offset = tp->tp_vectorcall_offset;
    assert(offset > 0);
    vectorcallfunc ptr;
    memcpy(&ptr, (char *) callable + offset, sizeof(ptr));
    return ptr;
}
  #else
    #define __Pyx_PyVectorcall_Function(callable) PyVectorcall_Function(callable)
  #endif
#endif
static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject *const *args, size_t _nargs, PyObject *kwargs) {
    Py_ssize_t nargs = __Pyx_PyVectorcall_NARGS(_nargs);
#if CYTHON_COMPILING_IN_CPYTHON
    if (nargs == 0 && kwargs == NULL) {
        if (__Pyx_CyOrPyCFunction_Check(func) && likely( __Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_NOARGS))
            return __Pyx_PyObject_CallMethO(func, NULL);
    }
    else if (nargs == 1 && kwargs == NULL) {
        if (__Pyx_CyOrPyCFunction_Check(func) && likely( __Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_O))
            return __Pyx_PyObject_CallMethO(func, args[0]);
    }
#endif
    if (kwargs == NULL) {
        #if CYTHON_VECTORCALL
          #if CYTHON_COMPILING_IN_LIMITED_API
            return PyObject_Vectorcall(func, args, _nargs, NULL);
          #else
            vectorcallfunc f = __Pyx_PyVectorcall_Function(func);
            if (f) {
                return f(func, args, _nargs, NULL);
            }
          #endif
        #endif
    }
    if (nargs == 0) {
        return __Pyx_PyObject_Call(func, __pyx_mstate_global->__pyx_empty_tuple, kwargs);
    }
    #if PY_VERSION_HEX >= 0x03090000 && !CYTHON_COMPILING_IN_LIMITED_API
    return PyObject_VectorcallDict(func, args, (size_t)nargs, kwargs);
    #else
    return __Pyx_PyObject_FastCall_fallback(func, args, (size_t)nargs, kwargs);
    #endif
}

/* PyObjectCallOneArg (used by CallUnboundCMethod0) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *args[2] = {NULL, arg};
    return __Pyx_PyObject_FastCall(func, args+1, 1 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
}

/* UnpackUnboundCMethod (used by CallUnboundCMethod0) */
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030C0000
static PyObject *__Pyx_SelflessCall(PyObject *method, PyObject *args, PyObject *kwargs) {
    PyObject *result;
    PyObject *selfless_args = PyTuple_GetSlice(args, 1, PyTuple_Size(args));
    if (unlikely(!selfless_args)) return NULL;
    result = PyObject_Call(method, selfless_args, kwargs);
    Py_DECREF(selfless_args);
    return result;
}
#elif CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03090000
static PyObject *__Pyx_SelflessCall(PyObject *method, PyObject **args, Py_ssize_t nargs, PyObject *kwnames) {
        return _PyObject_Vectorcall
            (method, args ? args+1 : NULL, nargs ? nargs-1 : 0, kwnames);
}
#else
static PyObject *__Pyx_SelflessCall(PyObject *method, PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames) {
    return
#if PY_VERSION_HEX < 0x03090000
    _PyObject_Vectorcall
#else
    PyObject_Vectorcall
#endif
        (method, args ? args+1 : NULL, nargs ? (size_t) nargs-1 : 0, kwnames);
}
#endif
static PyMethodDef __Pyx_UnboundCMethod_Def = {
     "CythonUnboundCMethod",
     __PYX_REINTERPRET_FUNCION(PyCFunction, __Pyx_SelflessCall),
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030C0000
     METH_VARARGS | METH_KEYWORDS,
#else
     METH_FASTCALL | METH_KEYWORDS,
#endif
     NULL
};
static int __Pyx_TryUnpackUnboundCMethod(__Pyx_CachedCFunction* target) {
    PyObject *method, *result=NULL;
    method = __Pyx_PyObject_GetAttrStr(target->type, *target->method_name);
    if (unlikely(!method))
        return -1;
    result = method;
#if CYTHON_COMPILING_IN_CPYTHON
    if (likely(__Pyx_TypeCheck(method, &PyMethodDescr_Type)))
    {
        PyMethodDescrObject *descr = (PyMethodDescrObject*) method;
        target->func = descr->d_method->ml_meth;
        target->flag = descr->d_method->ml_flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_STACKLESS);
    } else
#endif
#if CYTHON_COMPILING_IN_PYPY
#else
    if (PyCFunction_Check(method))
#endif
    {
        PyObject *self;
        int self_found;
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY
        self = PyObject_GetAttrString(method, "__self__");
        if (!self) {
            PyErr_Clear();
        }
#else
        self = PyCFunction_GET_SELF(method);
#endif
        self_found = (self && self != Py_None);
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY
        Py_XDECREF(self);
#endif
        if (self_found) {
            PyObject *unbound_method = PyCFunction_New(&__Pyx_UnboundCMethod_Def, method);
            if (unlikely(!unbound_method)) return -1;
            Py_DECREF(method);
            result = unbound_method;
        }
    }
#if !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    if (unlikely(target->method)) {
        Py_DECREF(result);
    } else
#endif
    target->method = result;
    return 0;
}

/* CallUnboundCMethod0 */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self) {
    int was_initialized = __Pyx_CachedCFunction_GetAndSetInitializing(cfunc);
    if (likely(was_initialized == 2 && cfunc->func)) {
        if (likely(cfunc->flag == METH_NOARGS))
            return __Pyx_CallCFunction(cfunc, self, NULL);
        if (likely(cfunc->flag == METH_FASTCALL))
            return __Pyx_CallCFunctionFast(cfunc, self, NULL, 0);
        if (cfunc->flag == (METH_FASTCALL | METH_KEYWORDS))
            return __Pyx_CallCFunctionFastWithKeywords(cfunc, self, NULL, 0, NULL);
        if (likely(cfunc->flag == (METH_VARARGS | METH_KEYWORDS)))
            return __Pyx_CallCFunctionWithKeywords(cfunc, self, __pyx_mstate_global->__pyx_empty_tuple, NULL);
        if (cfunc->flag == METH_VARARGS)
            return __Pyx_CallCFunction(cfunc, self, __pyx_mstate_global->__pyx_empty_tuple);
        return __Pyx__CallUnboundCMethod0(cfunc, self);
    }
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    else if (unlikely(was_initialized == 1)) {
        __Pyx_CachedCFunction tmp_cfunc = {
#ifndef __cplusplus
            0
#endif
        };
        tmp_cfunc.type = cfunc->type;
        tmp_cfunc.method_name = cfunc->method_name;
        return __Pyx__CallUnboundCMethod0(&tmp_cfunc, self);
    }
#endif
    PyObject *result = __Pyx__CallUnboundCMethod0(cfunc, self);
    __Pyx_CachedCFunction_SetFinishedInitializing(cfunc);
    return result;
}
#endif
static PyObject* __Pyx__CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self) {
    PyObject *result;
    if (unlikely(!cfunc->method) && unlikely(__Pyx_TryUnpackUnboundCMethod(cfunc) < 0)) return NULL;
    result = __Pyx_PyObject_CallOneArg(cfunc->method, self);
    return result;
}

/* py_dict_items (used by OwnedDictNext) */
static CYTHON_INLINE PyObject* __Pyx_PyDict_Items(PyObject* d) {
    return __Pyx_CallUnboundCMethod0(&__pyx_mstate_global->__pyx_umethod_PyDict_Type_items, d);
}

/* py_dict_values (used by OwnedDictNext) */
static CYTHON_INLINE PyObject* __Pyx_PyDict_Values(PyObject* d) {
    return __Pyx_CallUnboundCMethod0(&__pyx_mstate_global->__pyx_umethod_PyDict_Type_values, d);
}

/* OwnedDictNext (used by ParseKeywordsImpl) */
#if CYTHON_AVOID_BORROWED_REFS
static int __Pyx_PyDict_NextRef(PyObject *p, PyObject **ppos, PyObject **pkey, PyObject **pvalue) {
    PyObject *next = NULL;
    if (!*ppos) {
        if (pvalue) {
            PyObject *dictview = pkey ? __Pyx_PyDict_Items(p) : __Pyx_PyDict_Values(p);
            if (unlikely(!dictview)) goto bad;
            *ppos = PyObject_GetIter(dictview);
            Py_DECREF(dictview);
        } else {
            *ppos = PyObject_GetIter(p);
        }
        if (unlikely(!*ppos)) goto bad;
    }
    next = PyIter_Next(*ppos);
    if (!next) {
        if (PyErr_Occurred()) goto bad;
        return 0;
    }
    if (pkey && pvalue) {
        *pkey = __Pyx_PySequence_ITEM(next, 0);
        if (unlikely(*pkey)) goto bad;
        *pvalue = __Pyx_PySequence_ITEM(next, 1);
        if (unlikely(*pvalue)) goto bad;
        Py_DECREF(next);
    } else if (pkey) {
        *pkey = next;
    } else {
        assert(pvalue);
        *pvalue = next;
    }
    return 1;
  bad:
    Py_XDECREF(next);
#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d0000
    PyErr_FormatUnraisable("Exception ignored in __Pyx_PyDict_NextRef");
#else
    PyErr_WriteUnraisable(__pyx_mstate_global->__pyx_n_u_Pyx_PyDict_NextRef);
#endif
    if (pkey) *pkey = NULL;
    if (pvalue) *pvalue = NULL;
    return 0;
}
#else // !CYTHON_AVOID_BORROWED_REFS
static int __Pyx_PyDict_NextRef(PyObject *p, Py_ssize_t *ppos, PyObject **pkey, PyObject **pvalue) {
    int result = PyDict_Next(p, ppos, pkey, pvalue);
    if (likely(result == 1)) {
        if (pkey) Py_INCREF(*pkey);
        if (pvalue) Py_INCREF(*pvalue);
    }
    return result;
}
#endif

/* RaiseDoubleKeywords (used by ParseKeywordsImpl) */
static void __Pyx_RaiseDoubleKeywordsError(
    const char* func_name,
    PyObject* kw_name)
{
    PyErr_Format(PyExc_TypeError,
        "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
}

/* CallUnboundCMethod2 */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject *__Pyx_CallUnboundCMethod2(__Pyx_CachedCFunction *cfunc, PyObject *self, PyObject *arg1, PyObject *arg2) {
    int was_initialized = __Pyx_CachedCFunction_GetAndSetInitializing(cfunc);
    if (likely(was_initialized == 2 && cfunc->func)) {
        PyObject *args[2] = {arg1, arg2};
        if (cfunc->flag == METH_FASTCALL) {
            return __Pyx_CallCFunctionFast(cfunc, self, args, 2);
        }
        if (cfunc->flag == (METH_FASTCALL | METH_KEYWORDS))
            return __Pyx_CallCFunctionFastWithKeywords(cfunc, self, args, 2, NULL);
    }
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    else if (unlikely(was_initialized == 1)) {
        __Pyx_CachedCFunction tmp_cfunc = {
#ifndef __cplusplus
            0
#endif
        };
        tmp_cfunc.type = cfunc->type;
        tmp_cfunc.method_name = cfunc->method_name;
        return __Pyx__CallUnboundCMethod2(&tmp_cfunc, self, arg1, arg2);
    }
#endif
    PyObject *result = __Pyx__CallUnboundCMethod2(cfunc, self, arg1, arg2);
    __Pyx_CachedCFunction_SetFinishedInitializing(cfunc);
    return result;
}
#endif
static PyObject* __Pyx__CallUnboundCMethod2(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg1, PyObject* arg2){
    if (unlikely(!cfunc->func && !cfunc->method) && unlikely(__Pyx_TryUnpackUnboundCMethod(cfunc) < 0)) return NULL;
#if CYTHON_COMPILING_IN_CPYTHON
    if (cfunc->func && (cfunc->flag & METH_VARARGS)) {
        PyObject *result = NULL;
        PyObject *args = PyTuple_New(2);
        if (unlikely(!args)) return NULL;
        Py_INCREF(arg1);
        PyTuple_SET_ITEM(args, 0, arg1);
        Py_INCREF(arg2);
        PyTuple_SET_ITEM(args, 1, arg2);
        if (cfunc->flag & METH_KEYWORDS)
            result = __Pyx_CallCFunctionWithKeywords(cfunc, self, args, NULL);
        else
            result = __Pyx_CallCFunction(cfunc, self, args);
        Py_DECREF(args);
        return result;
    }
#endif
    {
        PyObject *args[4] = {NULL, self, arg1, arg2};
        return __Pyx_PyObject_FastCall(cfunc->method, args+1, 3 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
    }
}

/* ParseKeywordsImpl (used by ParseKeywords) */
static int __Pyx_ValidateDuplicatePosArgs(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    const char* function_name)
{
    PyObject ** const *name = argnames;
    while (name != first_kw_arg) {
        PyObject *key = **name;
        int found = PyDict_Contains(kwds, key);
        if (unlikely(found)) {
            if (found == 1) __Pyx_RaiseDoubleKeywordsError(function_name, key);
            goto bad;
        }
        name++;
    }
    return 0;
bad:
    return -1;
}
#if CYTHON_USE_UNICODE_INTERNALS
static CYTHON_INLINE int __Pyx_UnicodeKeywordsEqual(PyObject *s1, PyObject *s2) {
    int kind;
    Py_ssize_t len = PyUnicode_GET_LENGTH(s1);
    if (len != PyUnicode_GET_LENGTH(s2)) return 0;
    kind = PyUnicode_KIND(s1);
    if (kind != PyUnicode_KIND(s2)) return 0;
    const void *data1 = PyUnicode_DATA(s1);
    const void *data2 = PyUnicode_DATA(s2);
    return (memcmp(data1, data2, (size_t) len * (size_t) kind) == 0);
}
#endif
static int __Pyx_MatchKeywordArg_str(
    PyObject *key,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    size_t *index_found,
    const char *function_name)
{
    PyObject ** const *name;
    #if CYTHON_USE_UNICODE_INTERNALS
    Py_hash_t key_hash = ((PyASCIIObject*)key)->hash;
    if (unlikely(key_hash == -1)) {
        key_hash = PyObject_Hash(key);
        if (unlikely(key_hash == -1))
            goto bad;
    }
    #endif
    name = first_kw_arg;
    while (*name) {
        PyObject *name_str = **name;
        #if CYTHON_USE_UNICODE_INTERNALS
        if (key_hash == ((PyASCIIObject*)name_str)->hash && __Pyx_UnicodeKeywordsEqual(name_str, key)) {
            *index_found = (size_t) (name - argnames);
            return 1;
        }
        #else
        #if CYTHON_ASSUME_SAFE_SIZE
        if (PyUnicode_GET_LENGTH(name_str) == PyUnicode_GET_LENGTH(key))
        #endif
        {
            int cmp = PyUnicode_Compare(name_str, key);
            if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
            if (cmp == 0) {
                *index_found = (size_t) (name - argnames);
                return 1;
            }
        }
        #endif
        name++;
    }
    name = argnames;
    while (name != first_kw_arg) {
        PyObject *name_str = **name;
        #if CYTHON_USE_UNICODE_INTERNALS
        if (unlikely(key_hash == ((PyASCIIObject*)name_str)->hash)) {
            if (__Pyx_UnicodeKeywordsEqual(name_str, key))
                goto arg_passed_twice;
        }
        #else
        #if CYTHON_ASSUME_SAFE_SIZE
        if (PyUnicode_GET_LENGTH(name_str) == PyUnicode_GET_LENGTH(key))
        #endif
        {
            if (unlikely(name_str == key)) goto arg_passed_twice;
            int cmp = PyUnicode_Compare(name_str, key);
            if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
            if (cmp == 0) goto arg_passed_twice;
        }
        #endif
        name++;
    }
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
bad:
    return -1;
}
static int __Pyx_MatchKeywordArg_nostr(
    PyObject *key,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    size_t *index_found,
    const char *function_name)
{
    PyObject ** const *name;
    if (unlikely(!PyUnicode_Check(key))) goto invalid_keyword_type;
    name = first_kw_arg;
    while (*name) {
        int cmp = PyObject_RichCompareBool(**name, key, Py_EQ);
        if (cmp == 1) {
            *index_found = (size_t) (name - argnames);
            return 1;
        }
        if (unlikely(cmp == -1)) goto bad;
        name++;
    }
    name = argnames;
    while (name != first_kw_arg) {
        int cmp = PyObject_RichCompareBool(**name, key, Py_EQ);
        if (unlikely(cmp != 0)) {
            if (cmp == 1) goto arg_passed_twice;
            else goto bad;
        }
        name++;
    }
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%.200s() keywords must be strings", function_name);
    goto bad;
bad:
    return -1;
}
static CYTHON_INLINE int __Pyx_MatchKeywordArg(
    PyObject *key,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    size_t *index_found,
    const char *function_name)
{
    return likely(PyUnicode_CheckExact(key)) ?
        __Pyx_MatchKeywordArg_str(key, argnames, first_kw_arg, index_found, function_name) :
        __Pyx_MatchKeywordArg_nostr(key, argnames, first_kw_arg, index_found, function_name);
}
static void __Pyx_RejectUnknownKeyword(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    const char *function_name)
{
    #if CYTHON_AVOID_BORROWED_REFS
    PyObject *pos = NULL;
    #else
    Py_ssize_t pos = 0;
    #endif
    PyObject *key = NULL;
    __Pyx_BEGIN_CRITICAL_SECTION(kwds);
    while (
        #if CYTHON_AVOID_BORROWED_REFS
        __Pyx_PyDict_NextRef(kwds, &pos, &key, NULL)
        #else
        PyDict_Next(kwds, &pos, &key, NULL)
        #endif
    ) {
        PyObject** const *name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (!*name) {
            size_t index_found = 0;
            int cmp = __Pyx_MatchKeywordArg(key, argnames, first_kw_arg, &index_found, function_name);
            if (cmp != 1) {
                if (cmp == 0) {
                    PyErr_Format(PyExc_TypeError,
                        "%s() got an unexpected keyword argument '%U'",
                        function_name, key);
                }
                #if CYTHON_AVOID_BORROWED_REFS
                Py_DECREF(key);
                #endif
                break;
            }
        }
        #if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(key);
        #endif
    }
    __Pyx_END_CRITICAL_SECTION();
    #if CYTHON_AVOID_BORROWED_REFS
    Py_XDECREF(pos);
    #endif
    assert(PyErr_Occurred());
}
static int __Pyx_ParseKeywordDict(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject *values[],
    Py_ssize_t num_pos_args,
    Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs)
{
    PyObject** const *name;
    PyObject** const *first_kw_arg = argnames + num_pos_args;
    Py_ssize_t extracted = 0;
#if !CYTHON_COMPILING_IN_PYPY || defined(PyArg_ValidateKeywordArguments)
    if (unlikely(!PyArg_ValidateKeywordArguments(kwds))) return -1;
#endif
    name = first_kw_arg;
    while (*name && num_kwargs > extracted) {
        PyObject * key = **name;
        PyObject *value;
        int found = 0;
        #if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
        found = PyDict_GetItemRef(kwds, key, &value);
        #else
        value = PyDict_GetItemWithError(kwds, key);
        if (value) {
            Py_INCREF(value);
            found = 1;
        } else {
            if (unlikely(PyErr_Occurred())) goto bad;
        }
        #endif
        if (found) {
            if (unlikely(found < 0)) goto bad;
            values[name-argnames] = value;
            extracted++;
        }
        name++;
    }
    if (num_kwargs > extracted) {
        if (ignore_unknown_kwargs) {
            if (unlikely(__Pyx_ValidateDuplicatePosArgs(kwds, argnames, first_kw_arg, function_name) == -1))
                goto bad;
        } else {
            __Pyx_RejectUnknownKeyword(kwds, argnames, first_kw_arg, function_name);
            goto bad;
        }
    }
    return 0;
bad:
    return -1;
}
static int __Pyx_ParseKeywordDictToDict(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    const char* function_name)
{
    PyObject** const *name;
    PyObject** const *first_kw_arg = argnames + num_pos_args;
    Py_ssize_t len;
#if !CYTHON_COMPILING_IN_PYPY || defined(PyArg_ValidateKeywordArguments)
    if (unlikely(!PyArg_ValidateKeywordArguments(kwds))) return -1;
#endif
    if (PyDict_Update(kwds2, kwds) < 0) goto bad;
    name = first_kw_arg;
    while (*name) {
        PyObject *key = **name;
        PyObject *value;
#if !CYTHON_COMPILING_IN_LIMITED_API && (PY_VERSION_HEX >= 0x030d00A2 || defined(PyDict_Pop))
        int found = PyDict_Pop(kwds2, key, &value);
        if (found) {
            if (unlikely(found < 0)) goto bad;
            values[name-argnames] = value;
        }
#elif __PYX_LIMITED_VERSION_HEX >= 0x030d0000
        int found = PyDict_GetItemRef(kwds2, key, &value);
        if (found) {
            if (unlikely(found < 0)) goto bad;
            values[name-argnames] = value;
            if (unlikely(PyDict_DelItem(kwds2, key) < 0)) goto bad;
        }
#else
    #if CYTHON_COMPILING_IN_CPYTHON
        value = _PyDict_Pop(kwds2, key, kwds2);
    #else
        value = __Pyx_CallUnboundCMethod2(&__pyx_mstate_global->__pyx_umethod_PyDict_Type_pop, kwds2, key, kwds2);
    #endif
        if (value == kwds2) {
            Py_DECREF(value);
        } else {
            if (unlikely(!value)) goto bad;
            values[name-argnames] = value;
        }
#endif
        name++;
    }
    len = PyDict_Size(kwds2);
    if (len > 0) {
        return __Pyx_ValidateDuplicatePosArgs(kwds, argnames, first_kw_arg, function_name);
    } else if (unlikely(len == -1)) {
        goto bad;
    }
    return 0;
bad:
    return -1;
}
static int __Pyx_ParseKeywordsTuple(
    PyObject *kwds,
    PyObject * const *kwvalues,
    PyObject ** const argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs)
{
    PyObject *key = NULL;
    PyObject** const * name;
    PyObject** const *first_kw_arg = argnames + num_pos_args;
    for (Py_ssize_t pos = 0; pos < num_kwargs; pos++) {
#if CYTHON_AVOID_BORROWED_REFS
        key = __Pyx_PySequence_ITEM(kwds, pos);
#else
        key = __Pyx_PyTuple_GET_ITEM(kwds, pos);
#endif
#if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(!key)) goto bad;
#endif
        name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (*name) {
            PyObject *value = kwvalues[pos];
            values[name-argnames] = __Pyx_NewRef(value);
        } else {
            size_t index_found = 0;
            int cmp = __Pyx_MatchKeywordArg(key, argnames, first_kw_arg, &index_found, function_name);
            if (cmp == 1) {
                PyObject *value = kwvalues[pos];
                values[index_found] = __Pyx_NewRef(value);
            } else {
                if (unlikely(cmp == -1)) goto bad;
                if (kwds2) {
                    PyObject *value = kwvalues[pos];
                    if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
                } else if (!ignore_unknown_kwargs) {
                    goto invalid_keyword;
                }
            }
        }
        #if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(key);
        key = NULL;
        #endif
    }
    return 0;
invalid_keyword:
    PyErr_Format(PyExc_TypeError,
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    goto bad;
bad:
    #if CYTHON_AVOID_BORROWED_REFS
    Py_XDECREF(key);
    #endif
    return -1;
}

/* ParseKeywords */
static int __Pyx_ParseKeywords(
    PyObject *kwds,
    PyObject * const *kwvalues,
    PyObject ** const argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs)
{
    if (CYTHON_METH_FASTCALL && likely(PyTuple_Check(kwds)))
        return __Pyx_ParseKeywordsTuple(kwds, kwvalues, argnames, kwds2, values, num_pos_args, num_kwargs, function_name, ignore_unknown_kwargs);
    else if (kwds2)
        return __Pyx_ParseKeywordDictToDict(kwds, argnames, kwds2, values, num_pos_args, function_name);
    else
        return __Pyx_ParseKeywordDict(kwds, argnames, values, num_pos_args, num_kwargs, function_name, ignore_unknown_kwargs);
}

/* RaiseArgTupleInvalid */
static void __Pyx_RaiseArgtupleInvalid(
    const char* func_name,
    int exact,
    Py_ssize_t num_min,
    Py_ssize_t num_max,
    Py_ssize_t num_found)
{
    Py_ssize_t num_expected;
    const char *more_or_less;
    if (num_found < num_min) {
        num_expected = num_min;
        more_or_less = "at least";
    } else {
        num_expected = num_max;
        more_or_less = "at most";
    }
    if (exact) {
        more_or_less = "exactly";
    }
    PyErr_Format(PyExc_TypeError,
                 "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T "d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T "d given)",
                 func_name, more_or_less, num_expected,
                 (num_expected == 1) ? "" : "s", num_found);
}

/* PyDictVersioning (used by GetModuleGlobalName) */
#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0;
}
static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) {
    PyObject **dictptr = NULL;
    Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset;
    if (offset) {
#if CYTHON_COMPILING_IN_CPYTHON
        dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj);
#else
        dictptr = _PyObject_GetDictPtr(obj);
#endif
    }
    return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0;
}
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict)))
        return 0;
    return obj_dict_version == __Pyx_get_object_dict_version(obj);
}
#endif

/* GetModuleGlobalName */
#if CYTHON_USE_DICT_VERSIONS
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
#else
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
#endif
{
    PyObject *result;
#if CYTHON_COMPILING_IN_LIMITED_API
    if (unlikely(!__pyx_m)) {
        if (!PyErr_Occurred())
            PyErr_SetNone(PyExc_NameError);
        return NULL;
    }
    result = PyObject_GetAttr(__pyx_m, name);
    if (likely(result)) {
        return result;
    }
    PyErr_Clear();
#elif CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
    if (unlikely(__Pyx_PyDict_GetItemRef(__pyx_mstate_global->__pyx_d, name, &result) == -1)) PyErr_Clear();
    __PYX_UPDATE_DICT_CACHE(__pyx_mstate_global->__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return result;
    }
#else
    result = _PyDict_GetItem_KnownHash(__pyx_mstate_global->__pyx_d, name, ((PyASCIIObject *) name)->hash);
    __PYX_UPDATE_DICT_CACHE(__pyx_mstate_global->__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
    PyErr_Clear();
#endif
    return __Pyx_GetBuiltinName(name);
}

/* PyLongBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_Fallback___Pyx_PyLong_MultiplyCObj(PyObject *op1, PyObject *op2, int inplace) {
    return (inplace ? PyNumber_InPlaceMultiply : PyNumber_Multiply)(op1, op2);
}
#if CYTHON_USE_PYLONG_INTERNALS
static PyObject* __Pyx_Unpacked___Pyx_PyLong_MultiplyCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    const long a = intval;
    long b;
    const PY_LONG_LONG lla = intval;
    PY_LONG_LONG llb;
    if (unlikely(__Pyx_PyLong_IsZero(op2))) {
        return __Pyx_NewRef(op2);
    }
    const int is_positive = __Pyx_PyLong_IsPos(op2);
    const digit* digits = __Pyx_PyLong_Digits(op2);
    const Py_ssize_t size = __Pyx_PyLong_DigitCount(op2);
    if (likely(size == 1)) {
        b = (long) digits[0];
        if (!is_positive) b *= -1;
    } else {
        switch (size) {
            case 2:
                if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT+30) {
                    b = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if (!is_positive) b *= -1;
                    goto calculate_long;
                } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT+30) {
                    llb = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                    if (!is_positive) llb *= -1;
                    goto calculate_long_long;
                }
                break;
            case 3:
                if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT+30) {
                    b = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if (!is_positive) b *= -1;
                    goto calculate_long;
                } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT+30) {
                    llb = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                    if (!is_positive) llb *= -1;
                    goto calculate_long_long;
                }
                break;
            case 4:
                if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT+30) {
                    b = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if (!is_positive) b *= -1;
                    goto calculate_long;
                } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT+30) {
                    llb = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                    if (!is_positive) llb *= -1;
                    goto calculate_long_long;
                }
                break;
        }
        return PyLong_Type.tp_as_number->nb_multiply(op1, op2);
    }
    calculate_long:
        CYTHON_UNUSED_VAR(a);
        CYTHON_UNUSED_VAR(b);
        llb = b;
        goto calculate_long_long;
    calculate_long_long:
        {
            PY_LONG_LONG llx;
            llx = lla * llb;
            return PyLong_FromLongLong(llx);
        }
    
}
#endif
static PyObject* __Pyx_Float___Pyx_PyLong_MultiplyCObj(PyObject *float_val, long intval, int zerodivision_check) {
    CYTHON_UNUSED_VAR(zerodivision_check);
    const long a = intval;
    double b = __Pyx_PyFloat_AS_DOUBLE(float_val);
        double result;
        
        result = ((double)a) * (double)b;
        return PyFloat_FromDouble(result);
}
static CYTHON_INLINE PyObject* __Pyx_PyLong_MultiplyCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op2))) {
        return __Pyx_Unpacked___Pyx_PyLong_MultiplyCObj(op1, op2, intval, inplace, zerodivision_check);
    }
    #endif
    if (PyFloat_CheckExact(op2)) {
        return __Pyx_Float___Pyx_PyLong_MultiplyCObj(op2, intval, zerodivision_check);
    }
    return __Pyx_Fallback___Pyx_PyLong_MultiplyCObj(op1, op2, inplace);
}
#endif

/* RaiseTooManyValuesToUnpack */
static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
    PyErr_Format(PyExc_ValueError,
                 "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);
}

/* RaiseNeedMoreValuesToUnpack */
static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
    PyErr_Format(PyExc_ValueError,
                 "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack",
                 index, (index == 1) ? "" : "s");
}

/* IterFinish */
static CYTHON_INLINE int __Pyx_IterFinish(void) {
    PyObject* exc_type;
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    exc_type = __Pyx_PyErr_CurrentExceptionType();
    if (unlikely(exc_type)) {
        if (unlikely(!__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration)))
            return -1;
        __Pyx_PyErr_Clear();
        return 0;
    }
    return 0;
}

/* UnpackItemEndCheck */
static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected) {
    if (unlikely(retval)) {
        Py_DECREF(retval);
        __Pyx_RaiseTooManyValuesError(expected);
        return -1;
    }
    return __Pyx_IterFinish();
}

/* PyLongBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_Fallback___Pyx_PyLong_TrueDivideObjC(PyObject *op1, PyObject *op2, int inplace) {
    return (inplace ? PyNumber_InPlaceTrueDivide : PyNumber_TrueDivide)(op1, op2);
}
#if CYTHON_USE_PYLONG_INTERNALS
static PyObject* __Pyx_Unpacked___Pyx_PyLong_TrueDivideObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    const long b = intval;
    long a;
    if (unlikely(__Pyx_PyLong_IsZero(op1))) {
    }
    const int is_positive = __Pyx_PyLong_IsPos(op1);
    const digit* digits = __Pyx_PyLong_Digits(op1);
    const Py_ssize_t size = __Pyx_PyLong_DigitCount(op1);
    if (likely(size == 1)) {
        a = (long) digits[0];
        if (!is_positive) a *= -1;
    } else {
        switch (size) {
            case 2:
                if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT && 1 * PyLong_SHIFT < 53) {
                    a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if (!is_positive) a *= -1;
                    goto calculate_long;
                }
                break;
            case 3:
                if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT && 2 * PyLong_SHIFT < 53) {
                    a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if (!is_positive) a *= -1;
                    goto calculate_long;
                }
                break;
            case 4:
                if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT && 3 * PyLong_SHIFT < 53) {
                    a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if (!is_positive) a *= -1;
                    goto calculate_long;
                }
                break;
        }
        return PyLong_Type.tp_as_number->nb_true_divide(op1, op2);
    }
    calculate_long:
        if ((8 * sizeof(long) <= 53 || likely(labs(a) <= ((PY_LONG_LONG)1 << 53)))
                || __Pyx_PyLong_DigitCount(op1) <= 52 / PyLong_SHIFT) {
            return PyFloat_FromDouble((double)a / (double)b);
        }
        return PyLong_Type.tp_as_number->nb_true_divide(op1, op2);
}
#endif
static PyObject* __Pyx_Float___Pyx_PyLong_TrueDivideObjC(PyObject *float_val, long intval, int zerodivision_check) {
    CYTHON_UNUSED_VAR(zerodivision_check);
    const long b = intval;
    double a = __Pyx_PyFloat_AS_DOUBLE(float_val);
        double result;
        
        result = ((double)a) / (double)b;
        return PyFloat_FromDouble(result);
}
static CYTHON_INLINE PyObject* __Pyx_PyLong_TrueDivideObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        return __Pyx_Unpacked___Pyx_PyLong_TrueDivideObjC(op1, op2, intval, inplace, zerodivision_check);
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        return __Pyx_Float___Pyx_PyLong_TrueDivideObjC(op1, intval, zerodivision_check);
    }
    return __Pyx_Fallback___Pyx_PyLong_TrueDivideObjC(op1, op2, inplace);
}
#endif

/* PyLongCompare */
static CYTHON_INLINE int __Pyx_PyLong_BoolNeObjC(PyObject *op1, PyObject *op2, long intval, long inplace) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(inplace);
    if (op1 == op2) {
        return 0;
    }
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        int unequal;
        unsigned long uintval;
        Py_ssize_t size = __Pyx_PyLong_DigitCount(op1);
        const digit* digits = __Pyx_PyLong_Digits(op1);
        if (intval == 0) {
            return (__Pyx_PyLong_IsZero(op1) != 1);
        } else if (intval < 0) {
            if (__Pyx_PyLong_IsNonNeg(op1))
                return 1;
            intval = -intval;
        } else {
            if (__Pyx_PyLong_IsNeg(op1))
                return 1;
        }
        uintval = (unsigned long) intval;
#if PyLong_SHIFT * 4 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 4)) {
            unequal = (size != 5) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[4] != ((uintval >> (4 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 3 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 3)) {
            unequal = (size != 4) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 2 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 2)) {
            unequal = (size != 3) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 1 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 1)) {
            unequal = (size != 2) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
            unequal = (size != 1) || (((unsigned long) digits[0]) != (uintval & (unsigned long) PyLong_MASK));
        return (unequal != 0);
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = __Pyx_PyFloat_AS_DOUBLE(op1);
        return ((double)a != (double)b);
    }
    return __Pyx_PyObject_IsTrueAndDecref(
        PyObject_RichCompare(op1, op2, Py_NE));
}

/* GetItemInt */
static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
    PyObject *r;
    if (unlikely(!j)) return NULL;
    r = PyObject_GetItem(o, j);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck, int unsafe_shared) {
    CYTHON_MAYBE_UNUSED_VAR(unsafe_shared);
#if CYTHON_ASSUME_SAFE_SIZE
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyList_GET_SIZE(o);
    }
    if ((CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS || !CYTHON_ASSUME_SAFE_MACROS)) {
        return __Pyx_PyList_GetItemRefFast(o, wrapped_i, unsafe_shared);
    } else
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyList_GET_SIZE(o)))) {
        return __Pyx_NewRef(PyList_GET_ITEM(o, wrapped_i));
    }
    return __Pyx_GetItemInt_Generic(o, PyLong_FromSsize_t(i));
#else
    (void)wraparound;
    (void)boundscheck;
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck, int unsafe_shared) {
    CYTHON_MAYBE_UNUSED_VAR(unsafe_shared);
#if CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyTuple_GET_SIZE(o);
    }
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyTuple_GET_SIZE(o)))) {
        return __Pyx_NewRef(PyTuple_GET_ITEM(o, wrapped_i));
    }
    return __Pyx_GetItemInt_Generic(o, PyLong_FromSsize_t(i));
#else
    (void)wraparound;
    (void)boundscheck;
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int is_list,
                                                     int wraparound, int boundscheck, int unsafe_shared) {
    CYTHON_MAYBE_UNUSED_VAR(unsafe_shared);
#if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyList_GET_SIZE(o);
        if ((CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS)) {
            return __Pyx_PyList_GetItemRefFast(o, n, unsafe_shared);
        } else if ((!boundscheck) || (likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o))))) {
            return __Pyx_NewRef(PyList_GET_ITEM(o, n));
        }
    } else
    #if !CYTHON_AVOID_BORROWED_REFS
    if (PyTuple_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyTuple_GET_SIZE(o);
        if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyTuple_GET_SIZE(o)))) {
            return __Pyx_NewRef(PyTuple_GET_ITEM(o, n));
        }
    } else
    #endif
#endif
#if CYTHON_USE_TYPE_SLOTS && !CYTHON_COMPILING_IN_PYPY
    {
        PyMappingMethods *mm = Py_TYPE(o)->tp_as_mapping;
        PySequenceMethods *sm = Py_TYPE(o)->tp_as_sequence;
        if (!is_list && mm && mm->mp_subscript) {
            PyObject *r, *key = PyLong_FromSsize_t(i);
            if (unlikely(!key)) return NULL;
            r = mm->mp_subscript(o, key);
            Py_DECREF(key);
            return r;
        }
        if (is_list || likely(sm && sm->sq_item)) {
            if (wraparound && unlikely(i < 0) && likely(sm->sq_length)) {
                Py_ssize_t l = sm->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                        return NULL;
                    PyErr_Clear();
                }
            }
            return sm->sq_item(o, i);
        }
    }
#else
    if (is_list || !PyMapping_Check(o)) {
        return PySequence_GetItem(o, i);
    }
#endif
    (void)wraparound;
    (void)boundscheck;
    return __Pyx_GetItemInt_Generic(o, PyLong_FromSsize_t(i));
}

/* ObjectGetItem */
#if CYTHON_USE_TYPE_SLOTS
static PyObject *__Pyx_PyObject_GetIndex(PyObject *obj, PyObject *index) {
    PyObject *runerr = NULL;
    Py_ssize_t key_value;
    key_value = __Pyx_PyIndex_AsSsize_t(index);
    if (likely(key_value != -1 || !(runerr = PyErr_Occurred()))) {
        return __Pyx_GetItemInt_Fast(obj, key_value, 0, 1, 1, 1);
    }
    if (PyErr_GivenExceptionMatches(runerr, PyExc_OverflowError)) {
        __Pyx_TypeName index_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(index));
        PyErr_Clear();
        PyErr_Format(PyExc_IndexError,
            "cannot fit '" __Pyx_FMT_TYPENAME "' into an index-sized integer", index_type_name);
        __Pyx_DECREF_TypeName(index_type_name);
    }
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem_Slow(PyObject *obj, PyObject *key) {
    __Pyx_TypeName obj_type_name;
    if (likely(PyType_Check(obj))) {
        PyObject *meth = __Pyx_PyObject_GetAttrStrNoError(obj, __pyx_mstate_global->__pyx_n_u_class_getitem);
        if (!meth) {
            PyErr_Clear();
        } else {
            PyObject *result = __Pyx_PyObject_CallOneArg(meth, key);
            Py_DECREF(meth);
            return result;
        }
    }
    obj_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(obj));
    PyErr_Format(PyExc_TypeError,
        "'" __Pyx_FMT_TYPENAME "' object is not subscriptable", obj_type_name);
    __Pyx_DECREF_TypeName(obj_type_name);
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject *key) {
    PyTypeObject *tp = Py_TYPE(obj);
    PyMappingMethods *mm = tp->tp_as_mapping;
    PySequenceMethods *sm = tp->tp_as_sequence;
    if (likely(mm && mm->mp_subscript)) {
        return mm->mp_subscript(obj, key);
    }
    if (likely(sm && sm->sq_item)) {
        return __Pyx_PyObject_GetIndex(obj, key);
    }
    return __Pyx_PyObject_GetItem_Slow(obj, key);
}
#endif

/* PyLongCompare */
static CYTHON_INLINE int __Pyx_PyLong_BoolEqObjC(PyObject *op1, PyObject *op2, long intval, long inplace) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(inplace);
    if (op1 == op2) {
        return 1;
    }
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        int unequal;
        unsigned long uintval;
        Py_ssize_t size = __Pyx_PyLong_DigitCount(op1);
        const digit* digits = __Pyx_PyLong_Digits(op1);
        if (intval == 0) {
            return (__Pyx_PyLong_IsZero(op1) == 1);
        } else if (intval < 0) {
            if (__Pyx_PyLong_IsNonNeg(op1))
                return 0;
            intval = -intval;
        } else {
            if (__Pyx_PyLong_IsNeg(op1))
                return 0;
        }
        uintval = (unsigned long) intval;
#if PyLong_SHIFT * 4 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 4)) {
            unequal = (size != 5) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[4] != ((uintval >> (4 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 3 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 3)) {
            unequal = (size != 4) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 2 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 2)) {
            unequal = (size != 3) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 1 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 1)) {
            unequal = (size != 2) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
            unequal = (size != 1) || (((unsigned long) digits[0]) != (uintval & (unsigned long) PyLong_MASK));
        return (unequal == 0);
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = __Pyx_PyFloat_AS_DOUBLE(op1);
        return ((double)a == (double)b);
    }
    return __Pyx_PyObject_IsTrueAndDecref(
        PyObject_RichCompare(op1, op2, Py_EQ));
}

/* RaiseUnboundLocalError */
static void __Pyx_RaiseUnboundLocalError(const char *varname) {
    PyErr_Format(PyExc_UnboundLocalError, "local variable '%s' referenced before assignment", varname);
}

/* GetException (used by pep479) */
#if CYTHON_FAST_THREAD_STATE
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)
#endif
{
    PyObject *local_type = NULL, *local_value, *local_tb = NULL;
#if CYTHON_FAST_THREAD_STATE
    PyObject *tmp_type, *tmp_value, *tmp_tb;
  #if PY_VERSION_HEX >= 0x030C0000
    local_value = tstate->current_exception;
    tstate->current_exception = 0;
  #else
    local_type = tstate->curexc_type;
    local_value = tstate->curexc_value;
    local_tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
  #endif
#elif __PYX_LIMITED_VERSION_HEX > 0x030C0000
    local_value = PyErr_GetRaisedException();
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
#if __PYX_LIMITED_VERSION_HEX > 0x030C0000
    if (likely(local_value)) {
        local_type = (PyObject*) Py_TYPE(local_value);
        Py_INCREF(local_type);
        local_tb = PyException_GetTraceback(local_value);
    }
#else
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_FAST_THREAD_STATE
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    if (local_tb) {
        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
            goto bad;
    }
#endif // __PYX_LIMITED_VERSION_HEX > 0x030C0000
    Py_XINCREF(local_tb);
    Py_XINCREF(local_type);
    Py_XINCREF(local_value);
    *type = local_type;
    *value = local_value;
    *tb = local_tb;
#if CYTHON_FAST_THREAD_STATE
    #if CYTHON_USE_EXC_INFO_STACK
    {
        _PyErr_StackItem *exc_info = tstate->exc_info;
      #if PY_VERSION_HEX >= 0x030B00a4
        tmp_value = exc_info->exc_value;
        exc_info->exc_value = local_value;
        tmp_type = NULL;
        tmp_tb = NULL;
        Py_XDECREF(local_type);
        Py_XDECREF(local_tb);
      #else
        tmp_type = exc_info->exc_type;
        tmp_value = exc_info->exc_value;
        tmp_tb = exc_info->exc_traceback;
        exc_info->exc_type = local_type;
        exc_info->exc_value = local_value;
        exc_info->exc_traceback = local_tb;
      #endif
    }
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = local_type;
    tstate->exc_value = local_value;
    tstate->exc_traceback = local_tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#elif __PYX_LIMITED_VERSION_HEX >= 0x030b0000
    PyErr_SetHandledException(local_value);
    Py_XDECREF(local_value);
    Py_XDECREF(local_type);
    Py_XDECREF(local_tb);
#else
    PyErr_SetExcInfo(local_type, local_value, local_tb);
#endif
    return 0;
#if __PYX_LIMITED_VERSION_HEX <= 0x030C0000
bad:
    *type = 0;
    *value = 0;
    *tb = 0;
    Py_XDECREF(local_type);
    Py_XDECREF(local_value);
    Py_XDECREF(local_tb);
    return -1;
#endif
}

/* pep479 */
static void __Pyx_Generator_Replace_StopIteration(int in_async_gen) {
    PyObject *exc, *val, *tb, *cur_exc, *new_exc;
    __Pyx_PyThreadState_declare
    int is_async_stopiteration = 0;
    CYTHON_MAYBE_UNUSED_VAR(in_async_gen);
    __Pyx_PyThreadState_assign
    cur_exc = __Pyx_PyErr_CurrentExceptionType();
    if (likely(!__Pyx_PyErr_GivenExceptionMatches(cur_exc, PyExc_StopIteration))) {
        if (in_async_gen && unlikely(__Pyx_PyErr_GivenExceptionMatches(cur_exc, PyExc_StopAsyncIteration))) {
            is_async_stopiteration = 1;
        } else {
            return;
        }
    }
    __Pyx_GetException(&exc, &val, &tb);
    Py_XDECREF(exc);
    Py_XDECREF(tb);
    new_exc = PyObject_CallFunction(PyExc_RuntimeError, "s",
        is_async_stopiteration ? "async generator raised StopAsyncIteration" :
        in_async_gen ? "async generator raised StopIteration" :
        "generator raised StopIteration");
    if (!new_exc) {
        Py_XDECREF(val);
        return;
    }
    PyException_SetCause(new_exc, val); // steals ref to val
    PyErr_SetObject(PyExc_RuntimeError, new_exc);
}

/* SliceObject */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetSlice(PyObject* obj,
        Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** _py_start, PyObject** _py_stop, PyObject** _py_slice,
        int has_cstart, int has_cstop, CYTHON_UNUSED int wraparound) {
    __Pyx_TypeName obj_type_name;
#if CYTHON_USE_TYPE_SLOTS
    PyMappingMethods* mp = Py_TYPE(obj)->tp_as_mapping;
    if (likely(mp && mp->mp_subscript))
#endif
    {
        PyObject* result;
        PyObject *py_slice, *py_start, *py_stop;
        if (_py_slice) {
            py_slice = *_py_slice;
        } else {
            PyObject* owned_start = NULL;
            PyObject* owned_stop = NULL;
            if (_py_start) {
                py_start = *_py_start;
            } else {
                if (has_cstart) {
                    owned_start = py_start = PyLong_FromSsize_t(cstart);
                    if (unlikely(!py_start)) goto bad;
                } else
                    py_start = Py_None;
            }
            if (_py_stop) {
                py_stop = *_py_stop;
            } else {
                if (has_cstop) {
                    owned_stop = py_stop = PyLong_FromSsize_t(cstop);
                    if (unlikely(!py_stop)) {
                        Py_XDECREF(owned_start);
                        goto bad;
                    }
                } else
                    py_stop = Py_None;
            }
            py_slice = PySlice_New(py_start, py_stop, Py_None);
            Py_XDECREF(owned_start);
            Py_XDECREF(owned_stop);
            if (unlikely(!py_slice)) goto bad;
        }
#if CYTHON_USE_TYPE_SLOTS
        result = mp->mp_subscript(obj, py_slice);
#else
        result = PyObject_GetItem(obj, py_slice);
#endif
        if (!_py_slice) {
            Py_DECREF(py_slice);
        }
        return result;
    }
    obj_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(obj));
    PyErr_Format(PyExc_TypeError,
        "'" __Pyx_FMT_TYPENAME "' object is unsliceable", obj_type_name);
    __Pyx_DECREF_TypeName(obj_type_name);
bad:
    return NULL;
}

/* SetItemInt */
static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v) {
    int r;
    if (unlikely(!j)) return -1;
    r = PyObject_SetItem(o, j, v);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v, int is_list,
                                               int wraparound, int boundscheck, int unsafe_shared) {
    CYTHON_MAYBE_UNUSED_VAR(unsafe_shared);
#if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE && !CYTHON_AVOID_BORROWED_REFS
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = (!wraparound) ? i : ((likely(i >= 0)) ? i : i + PyList_GET_SIZE(o));
        if ((CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS && !__Pyx_IS_UNIQUELY_REFERENCED(o, unsafe_shared))) {
            Py_INCREF(v);
            return PyList_SetItem(o, n, v);
        } else if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o)))) {
            PyObject* old;
            Py_INCREF(v);
            old = PyList_GET_ITEM(o, n);
            PyList_SET_ITEM(o, n, v);
            Py_DECREF(old);
            return 0;
        }
    } else
#endif
#if CYTHON_USE_TYPE_SLOTS && !CYTHON_COMPILING_IN_PYPY
    {
        PyMappingMethods *mm = Py_TYPE(o)->tp_as_mapping;
        PySequenceMethods *sm = Py_TYPE(o)->tp_as_sequence;
        if (!is_list && mm && mm->mp_ass_subscript) {
            int r;
            PyObject *key = PyLong_FromSsize_t(i);
            if (unlikely(!key)) return -1;
            r = mm->mp_ass_subscript(o, key, v);
            Py_DECREF(key);
            return r;
        }
        if (is_list || likely(sm && sm->sq_ass_item)) {
            if (wraparound && unlikely(i < 0) && likely(sm->sq_length)) {
                Py_ssize_t l = sm->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                        return -1;
                    PyErr_Clear();
                }
            }
            return sm->sq_ass_item(o, i, v);
        }
    }
#else
    if (is_list || !PyMapping_Check(o)) {
        return PySequence_SetItem(o, i, v);
    }
#endif
    (void)wraparound;
    (void)boundscheck;
    return __Pyx_SetItemInt_Generic(o, PyLong_FromSsize_t(i), v);
}

/* CoroutineSetYieldFrom (used by GeneratorYieldFrom) */
static void
__Pyx_Coroutine_Set_Owned_Yield_From(__pyx_CoroutineObject *gen, PyObject *yf) {
    assert (!gen->yieldfrom);
#if CYTHON_USE_AM_SEND
    assert (!gen->yieldfrom_am_send);
    #if PY_VERSION_HEX < 0x030A00F0
    if (__Pyx_PyType_HasFeature(Py_TYPE(yf), __Pyx_TPFLAGS_HAVE_AM_SEND))
    #endif
    {
        __Pyx_pyiter_sendfunc am_send;
        #if __PYX_LIMITED_VERSION_HEX >= 0x030A0000
        am_send = __Pyx_PyObject_TryGetSubSlot(yf, tp_as_async, am_send, __Pyx_pyiter_sendfunc);
        #else
        __Pyx_PyAsyncMethodsStruct* tp_as_async = (__Pyx_PyAsyncMethodsStruct*) Py_TYPE(yf)->tp_as_async;
        am_send = tp_as_async ? tp_as_async->am_send : NULL;
        #endif
        if (likely(am_send)) {
            gen->yieldfrom_am_send = am_send;
        }
    }
#endif
    gen->yieldfrom = yf;
}

/* dict_setdefault (used by FetchCommonType) */
static CYTHON_INLINE PyObject *__Pyx_PyDict_SetDefault(PyObject *d, PyObject *key, PyObject *default_value) {
    PyObject* value;
#if __PYX_LIMITED_VERSION_HEX >= 0x030F0000 || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d00A4)
    PyDict_SetDefaultRef(d, key, default_value, &value);
#elif CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX >= 0x030C0000
    PyObject *args[] = {d, key, default_value};
    value = PyObject_VectorcallMethod(__pyx_mstate_global->__pyx_n_u_setdefault, args, 3 | PY_VECTORCALL_ARGUMENTS_OFFSET, NULL);
#elif CYTHON_COMPILING_IN_LIMITED_API
    value = PyObject_CallMethodObjArgs(d, __pyx_mstate_global->__pyx_n_u_setdefault, key, default_value, NULL);
#else
    value = PyDict_SetDefault(d, key, default_value);
    if (unlikely(!value)) return NULL;
    Py_INCREF(value);
#endif
    return value;
}

/* LimitedApiGetTypeDict (used by SetItemOnTypeDict) */
#if CYTHON_COMPILING_IN_LIMITED_API
static Py_ssize_t __Pyx_GetTypeDictOffset(void) {
    PyObject *tp_dictoffset_o;
    Py_ssize_t tp_dictoffset;
    tp_dictoffset_o = PyObject_GetAttrString((PyObject*)(&PyType_Type), "__dictoffset__");
    if (unlikely(!tp_dictoffset_o)) return -1;
    tp_dictoffset = PyLong_AsSsize_t(tp_dictoffset_o);
    Py_DECREF(tp_dictoffset_o);
    if (unlikely(tp_dictoffset == 0)) {
        PyErr_SetString(
            PyExc_TypeError,
            "'type' doesn't have a dictoffset");
        return -1;
    } else if (unlikely(tp_dictoffset < 0)) {
        PyErr_SetString(
            PyExc_TypeError,
            "'type' has an unexpected negative dictoffset. "
            "Please report this as Cython bug");
        return -1;
    }
    return tp_dictoffset;
}
static PyObject *__Pyx_GetTypeDict(PyTypeObject *tp) {
    static Py_ssize_t tp_dictoffset = 0;
    if (unlikely(tp_dictoffset == 0)) {
        tp_dictoffset = __Pyx_GetTypeDictOffset();
        if (unlikely(tp_dictoffset == -1 && PyErr_Occurred())) {
            tp_dictoffset = 0; // try again next time?
            return NULL;
        }
    }
    return *(PyObject**)((char*)tp + tp_dictoffset);
}
#endif

/* SetItemOnTypeDict (used by FixUpExtensionType) */
static int __Pyx__SetItemOnTypeDict(PyTypeObject *tp, PyObject *k, PyObject *v) {
    int result;
    PyObject *tp_dict;
#if CYTHON_COMPILING_IN_LIMITED_API
    tp_dict = __Pyx_GetTypeDict(tp);
    if (unlikely(!tp_dict)) return -1;
#else
    tp_dict = tp->tp_dict;
#endif
    result = PyDict_SetItem(tp_dict, k, v);
    if (likely(!result)) {
        PyType_Modified(tp);
        if (unlikely(PyObject_HasAttr(v, __pyx_mstate_global->__pyx_n_u_set_name))) {
            PyObject *setNameResult = PyObject_CallMethodObjArgs(v, __pyx_mstate_global->__pyx_n_u_set_name,  (PyObject *) tp, k, NULL);
            if (!setNameResult) return -1;
            Py_DECREF(setNameResult);
        }
    }
    return result;
}

/* FixUpExtensionType (used by FetchCommonType) */
static int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type) {
#if __PYX_LIMITED_VERSION_HEX > 0x030900B1
    CYTHON_UNUSED_VAR(spec);
    CYTHON_UNUSED_VAR(type);
    CYTHON_UNUSED_VAR(__Pyx__SetItemOnTypeDict);
#else
    const PyType_Slot *slot = spec->slots;
    int changed = 0;
#if !CYTHON_COMPILING_IN_LIMITED_API
    while (slot && slot->slot && slot->slot != Py_tp_members)
        slot++;
    if (slot && slot->slot == Py_tp_members) {
#if !CYTHON_COMPILING_IN_CPYTHON
        const
#endif  // !CYTHON_COMPILING_IN_CPYTHON)
            PyMemberDef *memb = (PyMemberDef*) slot->pfunc;
        while (memb && memb->name) {
            if (memb->name[0] == '_' && memb->name[1] == '_') {
                if (strcmp(memb->name, "__weaklistoffset__") == 0) {
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
                    type->tp_weaklistoffset = memb->offset;
                    changed = 1;
                }
                else if (strcmp(memb->name, "__dictoffset__") == 0) {
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
                    type->tp_dictoffset = memb->offset;
                    changed = 1;
                }
#if CYTHON_METH_FASTCALL
                else if (strcmp(memb->name, "__vectorcalloffset__") == 0) {
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
                    type->tp_vectorcall_offset = memb->offset;
                    changed = 1;
                }
#endif  // CYTHON_METH_FASTCALL
#if !CYTHON_COMPILING_IN_PYPY
                else if (strcmp(memb->name, "__module__") == 0) {
                    PyObject *descr;
                    assert(memb->type == T_OBJECT);
                    assert(memb->flags == 0 || memb->flags == READONLY);
                    descr = PyDescr_NewMember(type, memb);
                    if (unlikely(!descr))
                        return -1;
                    int set_item_result = PyDict_SetItem(type->tp_dict, PyDescr_NAME(descr), descr);
                    Py_DECREF(descr);
                    if (unlikely(set_item_result < 0)) {
                        return -1;
                    }
                    changed = 1;
                }
#endif  // !CYTHON_COMPILING_IN_PYPY
            }
            memb++;
        }
    }
#endif  // !CYTHON_COMPILING_IN_LIMITED_API
#if !CYTHON_COMPILING_IN_PYPY
    slot = spec->slots;
    while (slot && slot->slot && slot->slot != Py_tp_getset)
        slot++;
    if (slot && slot->slot == Py_tp_getset) {
        PyGetSetDef *getset = (PyGetSetDef*) slot->pfunc;
        while (getset && getset->name) {
            if (getset->name[0] == '_' && getset->name[1] == '_' && strcmp(getset->name, "__module__") == 0) {
                PyObject *descr = PyDescr_NewGetSet(type, getset);
                if (unlikely(!descr))
                    return -1;
                #if CYTHON_COMPILING_IN_LIMITED_API
                PyObject *pyname = PyUnicode_FromString(getset->name);
                if (unlikely(!pyname)) {
                    Py_DECREF(descr);
                    return -1;
                }
                int set_item_result = __Pyx_SetItemOnTypeDict(type, pyname, descr);
                Py_DECREF(pyname);
                #else
                CYTHON_UNUSED_VAR(__Pyx__SetItemOnTypeDict);
                int set_item_result = PyDict_SetItem(type->tp_dict, PyDescr_NAME(descr), descr);
                #endif
                Py_DECREF(descr);
                if (unlikely(set_item_result < 0)) {
                    return -1;
                }
                changed = 1;
            }
            ++getset;
        }
    }
#else
    CYTHON_UNUSED_VAR(__Pyx__SetItemOnTypeDict);
#endif  // !CYTHON_COMPILING_IN_PYPY
    if (changed)
        PyType_Modified(type);
#endif  // PY_VERSION_HEX > 0x030900B1
    return 0;
}

/* AddModuleRef (used by FetchSharedCythonModule) */
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
  static PyObject *__Pyx_PyImport_AddModuleObjectRef(PyObject *name) {
      PyObject *module_dict = PyImport_GetModuleDict();
      PyObject *m;
      if (PyMapping_GetOptionalItem(module_dict, name, &m) < 0) {
          return NULL;
      }
      if (m != NULL && PyModule_Check(m)) {
          return m;
      }
      Py_XDECREF(m);
      m = PyModule_NewObject(name);
      if (m == NULL)
          return NULL;
      if (PyDict_CheckExact(module_dict)) {
          PyObject *new_m;
          (void)PyDict_SetDefaultRef(module_dict, name, m, &new_m);
          Py_DECREF(m);
          return new_m;
      } else {
           if (PyObject_SetItem(module_dict, name, m) != 0) {
                Py_DECREF(m);
                return NULL;
            }
            return m;
      }
  }
  static PyObject *__Pyx_PyImport_AddModuleRef(const char *name) {
      PyObject *py_name = PyUnicode_FromString(name);
      if (!py_name) return NULL;
      PyObject *module = __Pyx_PyImport_AddModuleObjectRef(py_name);
      Py_DECREF(py_name);
      return module;
  }
#elif __PYX_LIMITED_VERSION_HEX >= 0x030d0000
  #define __Pyx_PyImport_AddModuleRef(name) PyImport_AddModuleRef(name)
#else
  static PyObject *__Pyx_PyImport_AddModuleRef(const char *name) {
      PyObject *module = PyImport_AddModule(name);
      Py_XINCREF(module);
      return module;
  }
#endif

/* FetchSharedCythonModule (used by FetchCommonType) */
static PyObject *__Pyx_FetchSharedCythonABIModule(void) {
    return __Pyx_PyImport_AddModuleRef(__PYX_ABI_MODULE_NAME);
}

/* FetchCommonType (used by CommonTypesMetaclass) */
#if __PYX_LIMITED_VERSION_HEX < 0x030C0000
static PyObject* __Pyx_PyType_FromMetaclass(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases) {
    PyObject *result = __Pyx_PyType_FromModuleAndSpec(module, spec, bases);
    if (result && metaclass) {
        PyObject *old_tp = (PyObject*)Py_TYPE(result);
    Py_INCREF((PyObject*)metaclass);
#if __PYX_LIMITED_VERSION_HEX >= 0x03090000
        Py_SET_TYPE(result, metaclass);
#else
        result->ob_type = metaclass;
#endif
        Py_DECREF(old_tp);
    }
    return result;
}
#else
#define __Pyx_PyType_FromMetaclass(me, mo, s, b) PyType_FromMetaclass(me, mo, s, b)
#endif
static int __Pyx_VerifyCachedType(PyObject *cached_type,
                               const char *name,
                               Py_ssize_t expected_basicsize) {
    Py_ssize_t basicsize;
    if (!PyType_Check(cached_type)) {
        PyErr_Format(PyExc_TypeError,
            "Shared Cython type %.200s is not a type object", name);
        return -1;
    }
    if (expected_basicsize == 0) {
        return 0; // size is inherited, nothing useful to check
    }
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *py_basicsize;
    py_basicsize = PyObject_GetAttrString(cached_type, "__basicsize__");
    if (unlikely(!py_basicsize)) return -1;
    basicsize = PyLong_AsSsize_t(py_basicsize);
    Py_DECREF(py_basicsize);
    py_basicsize = NULL;
    if (unlikely(basicsize == (Py_ssize_t)-1) && PyErr_Occurred()) return -1;
#else
    basicsize = ((PyTypeObject*) cached_type)->tp_basicsize;
#endif
    if (basicsize != expected_basicsize) {
        PyErr_Format(PyExc_TypeError,
            "Shared Cython type %.200s has the wrong size, try recompiling",
            name);
        return -1;
    }
    return 0;
}
static PyTypeObject *__Pyx_FetchCommonTypeFromSpec(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases) {
    PyObject *abi_module = NULL, *cached_type = NULL, *abi_module_dict, *new_cached_type, *py_object_name;
    int get_item_ref_result;
    const char* object_name = strrchr(spec->name, '.');
    object_name = object_name ? object_name+1 : spec->name;
    py_object_name = PyUnicode_FromString(object_name);
    if (!py_object_name) return NULL;
    abi_module = __Pyx_FetchSharedCythonABIModule();
    if (!abi_module) goto done;
    abi_module_dict = PyModule_GetDict(abi_module);
    if (!abi_module_dict) goto done;
    get_item_ref_result = __Pyx_PyDict_GetItemRef(abi_module_dict, py_object_name, &cached_type);
    if (get_item_ref_result == 1) {
        if (__Pyx_VerifyCachedType(
              cached_type,
              object_name,
              spec->basicsize) < 0) {
            goto bad;
        }
        goto done;
    } else if (unlikely(get_item_ref_result == -1)) {
        goto bad;
    }
    cached_type = __Pyx_PyType_FromMetaclass(
        metaclass,
        CYTHON_USE_MODULE_STATE ? module : abi_module,
        spec, bases);
    if (unlikely(!cached_type)) goto bad;
    if (unlikely(__Pyx_fix_up_extension_type_from_spec(spec, (PyTypeObject *) cached_type) < 0)) goto bad;
    new_cached_type = __Pyx_PyDict_SetDefault(abi_module_dict, py_object_name, cached_type);
    if (unlikely(new_cached_type != cached_type)) {
        if (unlikely(!new_cached_type)) goto bad;
        Py_DECREF(cached_type);
        cached_type = new_cached_type;
        if (__Pyx_VerifyCachedType(
                cached_type,
                object_name,
                spec->basicsize) < 0) {
            goto bad;
        }
        goto done;
    } else {
        Py_DECREF(new_cached_type);
    }
done:
    Py_XDECREF(abi_module);
    Py_DECREF(py_object_name);
    assert(cached_type == NULL || PyType_Check(cached_type));
    return (PyTypeObject *) cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}

/* CommonTypesMetaclass (used by CoroutineBase) */
static PyObject* __pyx_CommonTypesMetaclass_get_module(CYTHON_UNUSED PyObject *self, CYTHON_UNUSED void* context) {
    return PyUnicode_FromString(__PYX_ABI_MODULE_NAME);
}
#if __PYX_LIMITED_VERSION_HEX < 0x030A0000
static PyObject* __pyx_CommonTypesMetaclass_call(CYTHON_UNUSED PyObject *self, CYTHON_UNUSED PyObject *args, CYTHON_UNUSED PyObject *kwds) {
    PyErr_SetString(PyExc_TypeError, "Cannot instantiate Cython internal types");
    return NULL;
}
static int __pyx_CommonTypesMetaclass_setattr(CYTHON_UNUSED PyObject *self, CYTHON_UNUSED PyObject *attr, CYTHON_UNUSED PyObject *value) {
    PyErr_SetString(PyExc_TypeError, "Cython internal types are immutable");
    return -1;
}
#endif
static PyGetSetDef __pyx_CommonTypesMetaclass_getset[] = {
    {"__module__", __pyx_CommonTypesMetaclass_get_module, NULL, NULL, NULL},
    {0, 0, 0, 0, 0}
};
static PyType_Slot __pyx_CommonTypesMetaclass_slots[] = {
    {Py_tp_getset, (void *)__pyx_CommonTypesMetaclass_getset},
    #if __PYX_LIMITED_VERSION_HEX < 0x030A0000
    {Py_tp_call, (void*)__pyx_CommonTypesMetaclass_call},
    {Py_tp_new, (void*)__pyx_CommonTypesMetaclass_call},
    {Py_tp_setattro, (void*)__pyx_CommonTypesMetaclass_setattr},
    #endif
    {0, 0}
};
static PyType_Spec __pyx_CommonTypesMetaclass_spec = {
    __PYX_TYPE_MODULE_PREFIX "_common_types_metatype",
    0,
    0,
    Py_TPFLAGS_IMMUTABLETYPE |
    Py_TPFLAGS_DISALLOW_INSTANTIATION |
    Py_TPFLAGS_DEFAULT,
    __pyx_CommonTypesMetaclass_slots
};
static int __pyx_CommonTypesMetaclass_init(PyObject *module) {
    __pyx_mstatetype *mstate = __Pyx_PyModule_GetState(module);
    PyObject *bases = PyTuple_Pack(1, &PyType_Type);
    if (unlikely(!bases)) {
        return -1;
    }
    mstate->__pyx_CommonTypesMetaclassType = __Pyx_FetchCommonTypeFromSpec(NULL, module, &__pyx_CommonTypesMetaclass_spec, bases);
    Py_DECREF(bases);
    if (unlikely(mstate->__pyx_CommonTypesMetaclassType == NULL)) {
        return -1;
    }
    return 0;
}

/* RaiseException (used by CoroutineBase) */
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    PyObject* owned_instance = NULL;
    if (tb == Py_None) {
        tb = 0;
    } else if (tb && !PyTraceBack_Check(tb)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
        goto bad;
    }
    if (value == Py_None)
        value = 0;
    if (PyExceptionInstance_Check(type)) {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto bad;
        }
        value = type;
        type = (PyObject*) Py_TYPE(value);
    } else if (PyExceptionClass_Check(type)) {
        PyObject *instance_class = NULL;
        if (value && PyExceptionInstance_Check(value)) {
            instance_class = (PyObject*) Py_TYPE(value);
            if (instance_class != type) {
                int is_subclass = PyObject_IsSubclass(instance_class, type);
                if (!is_subclass) {
                    instance_class = NULL;
                } else if (unlikely(is_subclass == -1)) {
                    goto bad;
                } else {
                    type = instance_class;
                }
            }
        }
        if (!instance_class) {
            PyObject *args;
            if (!value)
                args = PyTuple_New(0);
            else if (PyTuple_Check(value)) {
                Py_INCREF(value);
                args = value;
            } else
                args = PyTuple_Pack(1, value);
            if (!args)
                goto bad;
            owned_instance = PyObject_Call(type, args, NULL);
            Py_DECREF(args);
            if (!owned_instance)
                goto bad;
            value = owned_instance;
            if (!PyExceptionInstance_Check(value)) {
                PyErr_Format(PyExc_TypeError,
                             "calling %R should have returned an instance of "
                             "BaseException, not %R",
                             type, Py_TYPE(value));
                goto bad;
            }
        }
    } else {
        PyErr_SetString(PyExc_TypeError,
            "raise: exception class must be a subclass of BaseException");
        goto bad;
    }
    if (cause) {
        PyObject *fixed_cause;
        if (cause == Py_None) {
            fixed_cause = NULL;
        } else if (PyExceptionClass_Check(cause)) {
            fixed_cause = PyObject_CallObject(cause, NULL);
            if (fixed_cause == NULL)
                goto bad;
        } else if (PyExceptionInstance_Check(cause)) {
            fixed_cause = cause;
            Py_INCREF(fixed_cause);
        } else {
            PyErr_SetString(PyExc_TypeError,
                            "exception causes must derive from "
                            "BaseException");
            goto bad;
        }
        PyException_SetCause(value, fixed_cause);
    }
    PyErr_SetObject(type, value);
    if (tb) {
#if PY_VERSION_HEX >= 0x030C00A6
        PyException_SetTraceback(value, tb);
#elif CYTHON_FAST_THREAD_STATE
        PyThreadState *tstate = __Pyx_PyThreadState_Current;
        PyObject* tmp_tb = tstate->curexc_traceback;
        if (tb != tmp_tb) {
            Py_INCREF(tb);
            tstate->curexc_traceback = tb;
            Py_XDECREF(tmp_tb);
        }
#else
        PyObject *tmp_type, *tmp_value, *tmp_tb;
        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
        Py_INCREF(tb);
        PyErr_Restore(tmp_type, tmp_value, tb);
        Py_XDECREF(tmp_tb);
#endif
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}

/* GetTopmostException (used by SaveResetException) */
#if CYTHON_USE_EXC_INFO_STACK && CYTHON_FAST_THREAD_STATE
static _PyErr_StackItem *
__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
{
    _PyErr_StackItem *exc_info = tstate->exc_info;
    while ((exc_info->exc_value == NULL || exc_info->exc_value == Py_None) &&
           exc_info->previous_item != NULL)
    {
        exc_info = exc_info->previous_item;
    }
    return exc_info;
}
#endif

/* SaveResetException (used by CoroutineBase) */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    PyObject *exc_value = exc_info->exc_value;
    if (exc_value == NULL || exc_value == Py_None) {
        *value = NULL;
        *type = NULL;
        *tb = NULL;
    } else {
        *value = exc_value;
        Py_INCREF(*value);
        *type = (PyObject*) Py_TYPE(exc_value);
        Py_INCREF(*type);
        *tb = PyException_GetTraceback(exc_value);
    }
  #elif CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    *type = exc_info->exc_type;
    *value = exc_info->exc_value;
    *tb = exc_info->exc_traceback;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
  #else
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
  #endif
}
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = tstate->exc_info;
    PyObject *tmp_value = exc_info->exc_value;
    exc_info->exc_value = value;
    Py_XDECREF(tmp_value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
  #else
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = type;
    exc_info->exc_value = value;
    exc_info->exc_traceback = tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = type;
    tstate->exc_value = value;
    tstate->exc_traceback = tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
  #endif
}
#endif

/* SwapException (used by CoroutineBase) */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_value = exc_info->exc_value;
    exc_info->exc_value = *value;
    if (tmp_value == NULL || tmp_value == Py_None) {
        Py_XDECREF(tmp_value);
        tmp_value = NULL;
        tmp_type = NULL;
        tmp_tb = NULL;
    } else {
        tmp_type = (PyObject*) Py_TYPE(tmp_value);
        Py_INCREF(tmp_type);
        #if CYTHON_COMPILING_IN_CPYTHON
        tmp_tb = ((PyBaseExceptionObject*) tmp_value)->traceback;
        Py_XINCREF(tmp_tb);
        #else
        tmp_tb = PyException_GetTraceback(tmp_value);
        #endif
    }
  #elif CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = *type;
    exc_info->exc_value = *value;
    exc_info->exc_traceback = *tb;
  #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = *type;
    tstate->exc_value = *value;
    tstate->exc_traceback = *tb;
  #endif
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
    PyErr_SetExcInfo(*type, *value, *tb);
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#endif

/* CallTypeTraverse (used by CoroutineBase) */
#if !CYTHON_USE_TYPE_SPECS || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x03090000)
#else
static int __Pyx_call_type_traverse(PyObject *o, int always_call, visitproc visit, void *arg) {
    #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x03090000
    if (__Pyx_get_runtime_version() < 0x03090000) return 0;
    #endif
    if (!always_call) {
        PyTypeObject *base = __Pyx_PyObject_GetSlot(o, tp_base, PyTypeObject*);
        unsigned long flags = PyType_GetFlags(base);
        if (flags & Py_TPFLAGS_HEAPTYPE) {
            return 0;
        }
    }
    Py_VISIT((PyObject*)Py_TYPE(o));
    return 0;
}
#endif

/* IterNextPlain (used by CoroutineBase) */
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
static PyObject *__Pyx_GetBuiltinNext_LimitedAPI(void) {
    if (unlikely(!__pyx_mstate_global->__Pyx_GetBuiltinNext_LimitedAPI_cache))
        __pyx_mstate_global->__Pyx_GetBuiltinNext_LimitedAPI_cache = __Pyx_GetBuiltinName(__pyx_mstate_global->__pyx_n_u_next);
    return __pyx_mstate_global->__Pyx_GetBuiltinNext_LimitedAPI_cache;
}
#endif
static CYTHON_INLINE PyObject *__Pyx_PyIter_Next_Plain(PyObject *iterator) {
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
    PyObject *result;
    PyObject *next = __Pyx_GetBuiltinNext_LimitedAPI();
    if (unlikely(!next)) return NULL;
    result = PyObject_CallFunctionObjArgs(next, iterator, NULL);
    return result;
#else
    (void)__Pyx_GetBuiltinName; // only for early limited API
    iternextfunc iternext = __Pyx_PyObject_GetIterNextFunc(iterator);
    assert(iternext);
    return iternext(iterator);
#endif
}

/* PyObjectCall2Args (used by PyObjectCallMethod1) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2) {
    PyObject *args[3] = {NULL, arg1, arg2};
    return __Pyx_PyObject_FastCall(function, args+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
}

/* PyObjectGetMethod (used by PyObjectCallMethod1) */
#if !(CYTHON_VECTORCALL && (__PYX_LIMITED_VERSION_HEX >= 0x030C0000 || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x03090000)))
static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method) {
    PyObject *attr;
#if CYTHON_UNPACK_METHODS && CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_PYTYPE_LOOKUP
    __Pyx_TypeName type_name;
    PyTypeObject *tp = Py_TYPE(obj);
    PyObject *descr;
    descrgetfunc f = NULL;
    PyObject **dictptr, *dict;
    int meth_found = 0;
    assert (*method == NULL);
    if (unlikely(tp->tp_getattro != PyObject_GenericGetAttr)) {
        attr = __Pyx_PyObject_GetAttrStr(obj, name);
        goto try_unpack;
    }
    if (unlikely(tp->tp_dict == NULL) && unlikely(PyType_Ready(tp) < 0)) {
        return 0;
    }
    descr = _PyType_Lookup(tp, name);
    if (likely(descr != NULL)) {
        Py_INCREF(descr);
#if defined(Py_TPFLAGS_METHOD_DESCRIPTOR) && Py_TPFLAGS_METHOD_DESCRIPTOR
        if (__Pyx_PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_METHOD_DESCRIPTOR))
#else
        #ifdef __Pyx_CyFunction_USED
        if (likely(PyFunction_Check(descr) || __Pyx_IS_TYPE(descr, &PyMethodDescr_Type) || __Pyx_CyFunction_Check(descr)))
        #else
        if (likely(PyFunction_Check(descr) || __Pyx_IS_TYPE(descr, &PyMethodDescr_Type)))
        #endif
#endif
        {
            meth_found = 1;
        } else {
            f = Py_TYPE(descr)->tp_descr_get;
            if (f != NULL && PyDescr_IsData(descr)) {
                attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
                Py_DECREF(descr);
                goto try_unpack;
            }
        }
    }
    dictptr = _PyObject_GetDictPtr(obj);
    if (dictptr != NULL && (dict = *dictptr) != NULL) {
        Py_INCREF(dict);
        attr = __Pyx_PyDict_GetItemStr(dict, name);
        if (attr != NULL) {
            Py_INCREF(attr);
            Py_DECREF(dict);
            Py_XDECREF(descr);
            goto try_unpack;
        }
        Py_DECREF(dict);
    }
    if (meth_found) {
        *method = descr;
        return 1;
    }
    if (f != NULL) {
        attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
        Py_DECREF(descr);
        goto try_unpack;
    }
    if (likely(descr != NULL)) {
        *method = descr;
        return 0;
    }
    type_name = __Pyx_PyType_GetFullyQualifiedName(tp);
    PyErr_Format(PyExc_AttributeError,
                 "'" __Pyx_FMT_TYPENAME "' object has no attribute '%U'",
                 type_name, name);
    __Pyx_DECREF_TypeName(type_name);
    return 0;
#else
    attr = __Pyx_PyObject_GetAttrStr(obj, name);
    goto try_unpack;
#endif
try_unpack:
#if CYTHON_UNPACK_METHODS
    if (likely(attr) && PyMethod_Check(attr) && likely(PyMethod_GET_SELF(attr) == obj)) {
        PyObject *function = PyMethod_GET_FUNCTION(attr);
        Py_INCREF(function);
        Py_DECREF(attr);
        *method = function;
        return 1;
    }
#endif
    *method = attr;
    return 0;
}
#endif

/* PyObjectCallMethod1 (used by CoroutineBase) */
#if !(CYTHON_VECTORCALL && (__PYX_LIMITED_VERSION_HEX >= 0x030C0000 || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x03090000)))
static PyObject* __Pyx__PyObject_CallMethod1(PyObject* method, PyObject* arg) {
    PyObject *result = __Pyx_PyObject_CallOneArg(method, arg);
    Py_DECREF(method);
    return result;
}
#endif
static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg) {
#if CYTHON_VECTORCALL && (__PYX_LIMITED_VERSION_HEX >= 0x030C0000 || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x03090000))
    PyObject *args[2] = {obj, arg};
    (void) __Pyx_PyObject_CallOneArg;
    (void) __Pyx_PyObject_Call2Args;
    return PyObject_VectorcallMethod(method_name, args, 2 | PY_VECTORCALL_ARGUMENTS_OFFSET, NULL);
#else
    PyObject *method = NULL, *result;
    int is_method = __Pyx_PyObject_GetMethod(obj, method_name, &method);
    if (likely(is_method)) {
        result = __Pyx_PyObject_Call2Args(method, obj, arg);
        Py_DECREF(method);
        return result;
    }
    if (unlikely(!method)) return NULL;
    return __Pyx__PyObject_CallMethod1(method, arg);
#endif
}

/* PyObjectCallNoArg (used by CoroutineBase) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
    PyObject *arg[2] = {NULL, NULL};
    return __Pyx_PyObject_FastCall(func, arg + 1, 0 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
}

/* ReturnWithStopIteration (used by CoroutineBase) */
static void __Pyx__ReturnWithStopIteration(PyObject* value, int async);
static CYTHON_INLINE void __Pyx_ReturnWithStopIteration(PyObject* value, int async, int iternext) {
    if (value == Py_None) {
        if (async || !iternext)
            PyErr_SetNone(async ? PyExc_StopAsyncIteration : PyExc_StopIteration);
        return;
    }
    __Pyx__ReturnWithStopIteration(value, async);
}
static void __Pyx__ReturnWithStopIteration(PyObject* value, int async) {
#if CYTHON_COMPILING_IN_CPYTHON
    __Pyx_PyThreadState_declare
#endif
    PyObject *exc;
    PyObject *exc_type = async ? PyExc_StopAsyncIteration : PyExc_StopIteration;
#if CYTHON_COMPILING_IN_CPYTHON
    if ((PY_VERSION_HEX >= (0x030C00A6)) || unlikely(PyTuple_Check(value) || PyExceptionInstance_Check(value))) {
        if (PY_VERSION_HEX >= (0x030e00A1)) {
            exc = __Pyx_PyObject_CallOneArg(exc_type, value);
        } else {
            PyObject *args_tuple = PyTuple_New(1);
            if (unlikely(!args_tuple)) return;
            Py_INCREF(value);
            PyTuple_SET_ITEM(args_tuple, 0, value);
            exc = PyObject_Call(exc_type, args_tuple, NULL);
            Py_DECREF(args_tuple);
        }
        if (unlikely(!exc)) return;
    } else {
        Py_INCREF(value);
        exc = value;
    }
    #if CYTHON_FAST_THREAD_STATE
    __Pyx_PyThreadState_assign
    #if CYTHON_USE_EXC_INFO_STACK
    if (!__pyx_tstate->exc_info->exc_value)
    #else
    if (!__pyx_tstate->exc_type)
    #endif
    {
        Py_INCREF(exc_type);
        __Pyx_ErrRestore(exc_type, exc, NULL);
        return;
    }
    #endif
#else
    exc = __Pyx_PyObject_CallOneArg(exc_type, value);
    if (unlikely(!exc)) return;
#endif
    PyErr_SetObject(exc_type, exc);
    Py_DECREF(exc);
}

/* CoroutineBase (used by Generator) */
#if !CYTHON_COMPILING_IN_LIMITED_API
#include <frameobject.h>
#if PY_VERSION_HEX >= 0x030b00a6 && !defined(PYPY_VERSION)
  #ifndef Py_BUILD_CORE
    #define Py_BUILD_CORE 1
  #endif
  #include "internal/pycore_frame.h"
#endif
#endif // CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE void
__Pyx_Coroutine_Undelegate(__pyx_CoroutineObject *gen) {
#if CYTHON_USE_AM_SEND
    gen->yieldfrom_am_send = NULL;
#endif
    Py_CLEAR(gen->yieldfrom);
}
static int __Pyx_PyGen__FetchStopIterationValue(PyThreadState *__pyx_tstate, PyObject **pvalue) {
    PyObject *et, *ev, *tb;
    PyObject *value = NULL;
    CYTHON_UNUSED_VAR(__pyx_tstate);
    __Pyx_ErrFetch(&et, &ev, &tb);
    if (!et) {
        Py_XDECREF(tb);
        Py_XDECREF(ev);
        Py_INCREF(Py_None);
        *pvalue = Py_None;
        return 0;
    }
    if (likely(et == PyExc_StopIteration)) {
        if (!ev) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
        else if (likely(__Pyx_IS_TYPE(ev, (PyTypeObject*)PyExc_StopIteration))) {
            #if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_GRAAL
            value = PyObject_GetAttr(ev, __pyx_mstate_global->__pyx_n_u_value);
            if (unlikely(!value)) goto limited_api_failure;
            #else
            value = ((PyStopIterationObject *)ev)->value;
            Py_INCREF(value);
            #endif
            Py_DECREF(ev);
        }
        else if (unlikely(PyTuple_Check(ev))) {
            Py_ssize_t tuple_size = __Pyx_PyTuple_GET_SIZE(ev);
            #if !CYTHON_ASSUME_SAFE_SIZE
            if (unlikely(tuple_size < 0)) {
                Py_XDECREF(tb);
                Py_DECREF(ev);
                Py_DECREF(et);
                return -1;
            }
            #endif
            if (tuple_size >= 1) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                value = PyTuple_GET_ITEM(ev, 0);
                Py_INCREF(value);
#elif CYTHON_ASSUME_SAFE_MACROS
                value = PySequence_ITEM(ev, 0);
#else
                value = PySequence_GetItem(ev, 0);
                if (!value) goto limited_api_failure;
#endif
            } else {
                Py_INCREF(Py_None);
                value = Py_None;
            }
            Py_DECREF(ev);
        }
        else if (!__Pyx_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration)) {
            value = ev;
        }
        if (likely(value)) {
            Py_XDECREF(tb);
            Py_DECREF(et);
            *pvalue = value;
            return 0;
        }
    } else if (!__Pyx_PyErr_GivenExceptionMatches(et, PyExc_StopIteration)) {
        __Pyx_ErrRestore(et, ev, tb);
        return -1;
    }
    PyErr_NormalizeException(&et, &ev, &tb);
    if (unlikely(!PyObject_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration))) {
        __Pyx_ErrRestore(et, ev, tb);
        return -1;
    }
    Py_XDECREF(tb);
    Py_DECREF(et);
#if CYTHON_COMPILING_IN_LIMITED_API
    value = PyObject_GetAttr(ev, __pyx_mstate_global->__pyx_n_u_value);
#else
    value = ((PyStopIterationObject *)ev)->value;
    Py_INCREF(value);
#endif
    Py_DECREF(ev);
#if CYTHON_COMPILING_IN_LIMITED_API
    if (unlikely(!value)) return -1;
#endif
    *pvalue = value;
    return 0;
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_GRAAL || !CYTHON_ASSUME_SAFE_MACROS
  limited_api_failure:
    Py_XDECREF(et);
    Py_XDECREF(tb);
    Py_XDECREF(ev);
    return -1;
#endif
}
static CYTHON_INLINE
__Pyx_PySendResult __Pyx_Coroutine_status_from_result(PyObject **retval) {
    if (*retval) {
        return PYGEN_NEXT;
    } else if (likely(__Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, retval) == 0)) {
        return PYGEN_RETURN;
    } else {
        return PYGEN_ERROR;
    }
}
static CYTHON_INLINE
void __Pyx_Coroutine_ExceptionClear(__Pyx_ExcInfoStruct *exc_state) {
#if PY_VERSION_HEX >= 0x030B00a4
    Py_CLEAR(exc_state->exc_value);
#else
    PyObject *t, *v, *tb;
    t = exc_state->exc_type;
    v = exc_state->exc_value;
    tb = exc_state->exc_traceback;
    exc_state->exc_type = NULL;
    exc_state->exc_value = NULL;
    exc_state->exc_traceback = NULL;
    Py_XDECREF(t);
    Py_XDECREF(v);
    Py_XDECREF(tb);
#endif
}
#define __Pyx_Coroutine_AlreadyRunningError(gen)  (__Pyx__Coroutine_AlreadyRunningError(gen), (PyObject*)NULL)
static void __Pyx__Coroutine_AlreadyRunningError(__pyx_CoroutineObject *gen) {
    const char *msg;
    CYTHON_MAYBE_UNUSED_VAR(gen);
    if ((0)) {
    #ifdef __Pyx_Coroutine_USED
    } else if (__Pyx_Coroutine_Check((PyObject*)gen)) {
        msg = "coroutine already executing";
    #endif
    #ifdef __Pyx_AsyncGen_USED
    } else if (__Pyx_AsyncGen_CheckExact((PyObject*)gen)) {
        msg = "async generator already executing";
    #endif
    } else {
        msg = "generator already executing";
    }
    PyErr_SetString(PyExc_ValueError, msg);
}
static void __Pyx_Coroutine_AlreadyTerminatedError(PyObject *gen, PyObject *value, int closing) {
    CYTHON_MAYBE_UNUSED_VAR(gen);
    CYTHON_MAYBE_UNUSED_VAR(closing);
    #ifdef __Pyx_Coroutine_USED
    if (!closing && __Pyx_Coroutine_Check(gen)) {
        PyErr_SetString(PyExc_RuntimeError, "cannot reuse already awaited coroutine");
    } else
    #endif
    if (value) {
        #ifdef __Pyx_AsyncGen_USED
        if (__Pyx_AsyncGen_CheckExact(gen))
            PyErr_SetNone(PyExc_StopAsyncIteration);
        else
        #endif
        PyErr_SetNone(PyExc_StopIteration);
    }
}
static
__Pyx_PySendResult __Pyx_Coroutine_SendEx(__pyx_CoroutineObject *self, PyObject *value, PyObject **result, int closing) {
    __Pyx_PyThreadState_declare
    PyThreadState *tstate;
    __Pyx_ExcInfoStruct *exc_state;
    PyObject *retval;
    assert(__Pyx_Coroutine_get_is_running(self));  // Callers should ensure is_running
    if (unlikely(self->resume_label == -1)) {
        __Pyx_Coroutine_AlreadyTerminatedError((PyObject*)self, value, closing);
        return PYGEN_ERROR;
    }
#if CYTHON_FAST_THREAD_STATE
    __Pyx_PyThreadState_assign
    tstate = __pyx_tstate;
#else
    tstate = __Pyx_PyThreadState_Current;
#endif
    exc_state = &self->gi_exc_state;
    if (exc_state->exc_value) {
        #if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY
        #else
        PyObject *exc_tb;
        #if PY_VERSION_HEX >= 0x030B00a4 && !CYTHON_COMPILING_IN_CPYTHON
        exc_tb = PyException_GetTraceback(exc_state->exc_value);
        #elif PY_VERSION_HEX >= 0x030B00a4
        exc_tb = ((PyBaseExceptionObject*) exc_state->exc_value)->traceback;
        #else
        exc_tb = exc_state->exc_traceback;
        #endif
        if (exc_tb) {
            PyTracebackObject *tb = (PyTracebackObject *) exc_tb;
            PyFrameObject *f = tb->tb_frame;
            assert(f->f_back == NULL);
            #if PY_VERSION_HEX >= 0x030B00A1
            f->f_back = PyThreadState_GetFrame(tstate);
            #else
            Py_XINCREF(tstate->frame);
            f->f_back = tstate->frame;
            #endif
            #if PY_VERSION_HEX >= 0x030B00a4 && !CYTHON_COMPILING_IN_CPYTHON
            Py_DECREF(exc_tb);
            #endif
        }
        #endif
    }
#if CYTHON_USE_EXC_INFO_STACK
    exc_state->previous_item = tstate->exc_info;
    tstate->exc_info = exc_state;
#else
    if (exc_state->exc_type) {
        __Pyx_ExceptionSwap(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
    } else {
        __Pyx_Coroutine_ExceptionClear(exc_state);
        __Pyx_ExceptionSave(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
    }
#endif
    retval = self->body(self, tstate, value);
#if CYTHON_USE_EXC_INFO_STACK
    exc_state = &self->gi_exc_state;
    tstate->exc_info = exc_state->previous_item;
    exc_state->previous_item = NULL;
    __Pyx_Coroutine_ResetFrameBackpointer(exc_state);
#endif
    *result = retval;
    if (self->resume_label == -1) {
        return likely(retval) ? PYGEN_RETURN : PYGEN_ERROR;
    }
    return PYGEN_NEXT;
}
static CYTHON_INLINE void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state) {
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API
    CYTHON_UNUSED_VAR(exc_state);
#else
    PyObject *exc_tb;
    #if PY_VERSION_HEX >= 0x030B00a4
    if (!exc_state->exc_value) return;
    exc_tb = PyException_GetTraceback(exc_state->exc_value);
    #else
    exc_tb = exc_state->exc_traceback;
    #endif
    if (likely(exc_tb)) {
        PyTracebackObject *tb = (PyTracebackObject *) exc_tb;
        PyFrameObject *f = tb->tb_frame;
        Py_CLEAR(f->f_back);
        #if PY_VERSION_HEX >= 0x030B00a4
        Py_DECREF(exc_tb);
        #endif
    }
#endif
}
#define __Pyx_Coroutine_MethodReturnFromResult(gen, result, retval, iternext)\
    ((result) == PYGEN_NEXT ? (retval) : __Pyx__Coroutine_MethodReturnFromResult(gen, result, retval, iternext))
static PyObject *
__Pyx__Coroutine_MethodReturnFromResult(PyObject* gen, __Pyx_PySendResult result, PyObject *retval, int iternext) {
    CYTHON_MAYBE_UNUSED_VAR(gen);
    if (likely(result == PYGEN_RETURN)) {
        int is_async = 0;
        #ifdef __Pyx_AsyncGen_USED
        is_async = __Pyx_AsyncGen_CheckExact(gen);
        #endif
        __Pyx_ReturnWithStopIteration(retval, is_async, iternext);
        Py_XDECREF(retval);
    }
    return NULL;
}
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE
PyObject *__Pyx_PyGen_Send(PyGenObject *gen, PyObject *arg) {
#if PY_VERSION_HEX <= 0x030A00A1
    return _PyGen_Send(gen, arg);
#else
    PyObject *result;
    if (PyIter_Send((PyObject*)gen, arg ? arg : Py_None, &result) == PYGEN_RETURN) {
        if (PyAsyncGen_CheckExact(gen)) {
            assert(result == Py_None);
            PyErr_SetNone(PyExc_StopAsyncIteration);
        }
        else if (result == Py_None) {
            PyErr_SetNone(PyExc_StopIteration);
        }
        else {
#if PY_VERSION_HEX < 0x030d00A1
            _PyGen_SetStopIterationValue(result);
#else
            if (!PyTuple_Check(result) && !PyExceptionInstance_Check(result)) {
                PyErr_SetObject(PyExc_StopIteration, result);
            } else {
                PyObject *exc = __Pyx_PyObject_CallOneArg(PyExc_StopIteration, result);
                if (likely(exc != NULL)) {
                    PyErr_SetObject(PyExc_StopIteration, exc);
                    Py_DECREF(exc);
                }
            }
#endif
        }
        Py_DECREF(result);
        result = NULL;
    }
    return result;
#endif
}
#endif
static CYTHON_INLINE __Pyx_PySendResult
__Pyx_Coroutine_FinishDelegation(__pyx_CoroutineObject *gen, PyObject** retval) {
    __Pyx_PySendResult result;
    PyObject *val = NULL;
    assert(__Pyx_Coroutine_get_is_running(gen));
    __Pyx_Coroutine_Undelegate(gen);
    __Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, &val);
    result = __Pyx_Coroutine_SendEx(gen, val, retval, 0);
    Py_XDECREF(val);
    return result;
}
#if CYTHON_USE_AM_SEND
static __Pyx_PySendResult
__Pyx_Coroutine_SendToDelegate(__pyx_CoroutineObject *gen, __Pyx_pyiter_sendfunc gen_am_send, PyObject *value, PyObject **retval) {
    PyObject *ret = NULL;
    __Pyx_PySendResult delegate_result, result;
    assert(__Pyx_Coroutine_get_is_running(gen));
    delegate_result = gen_am_send(gen->yieldfrom, value, &ret);
    if (delegate_result == PYGEN_NEXT) {
        assert (ret != NULL);
        *retval = ret;
        return PYGEN_NEXT;
    }
    assert (delegate_result != PYGEN_ERROR || ret == NULL);
    __Pyx_Coroutine_Undelegate(gen);
    result = __Pyx_Coroutine_SendEx(gen, ret, retval, 0);
    Py_XDECREF(ret);
    return result;
}
#endif
static PyObject *__Pyx_Coroutine_Send(PyObject *self, PyObject *value) {
    PyObject *retval = NULL;
    __Pyx_PySendResult result = __Pyx_Coroutine_AmSend(self, value, &retval);
    return __Pyx_Coroutine_MethodReturnFromResult(self, result, retval, 0);
}
static __Pyx_PySendResult
__Pyx_Coroutine_AmSend(PyObject *self, PyObject *value, PyObject **retval) {
    __Pyx_PySendResult result;
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
    if (unlikely(__Pyx_Coroutine_test_and_set_is_running(gen))) {
        *retval = __Pyx_Coroutine_AlreadyRunningError(gen);
        return PYGEN_ERROR;
    }
    #if CYTHON_USE_AM_SEND
    if (gen->yieldfrom_am_send) {
        result = __Pyx_Coroutine_SendToDelegate(gen, gen->yieldfrom_am_send, value, retval);
    } else
    #endif
    if (gen->yieldfrom) {
        PyObject *yf = gen->yieldfrom;
        PyObject *ret;
      #if !CYTHON_USE_AM_SEND
        #ifdef __Pyx_Generator_USED
        if (__Pyx_Generator_CheckExact(yf)) {
            ret = __Pyx_Coroutine_Send(yf, value);
        } else
        #endif
        #ifdef __Pyx_Coroutine_USED
        if (__Pyx_Coroutine_Check(yf)) {
            ret = __Pyx_Coroutine_Send(yf, value);
        } else
        #endif
        #ifdef __Pyx_AsyncGen_USED
        if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
            ret = __Pyx_async_gen_asend_send(yf, value);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON
        if (PyGen_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
        } else
        if (PyCoro_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
        } else
        #endif
      #endif
        {
            #if !CYTHON_COMPILING_IN_LIMITED_API || __PYX_LIMITED_VERSION_HEX >= 0x03080000
            if (value == Py_None && PyIter_Check(yf))
                ret = __Pyx_PyIter_Next_Plain(yf);
            else
            #endif
                ret = __Pyx_PyObject_CallMethod1(yf, __pyx_mstate_global->__pyx_n_u_send, value);
        }
        if (likely(ret)) {
            __Pyx_Coroutine_unset_is_running(gen);
            *retval = ret;
            return PYGEN_NEXT;
        }
        result = __Pyx_Coroutine_FinishDelegation(gen, retval);
    } else {
        result = __Pyx_Coroutine_SendEx(gen, value, retval, 0);
    }
    __Pyx_Coroutine_unset_is_running(gen);
    return result;
}
static int __Pyx_Coroutine_CloseIter(__pyx_CoroutineObject *gen, PyObject *yf) {
    __Pyx_PySendResult result;
    PyObject *retval = NULL;
    CYTHON_UNUSED_VAR(gen);
    assert(__Pyx_Coroutine_get_is_running(gen));
    #ifdef __Pyx_Generator_USED
    if (__Pyx_Generator_CheckExact(yf)) {
        result = __Pyx_Coroutine_Close(yf, &retval);
    } else
    #endif
    #ifdef __Pyx_Coroutine_USED
    if (__Pyx_Coroutine_Check(yf)) {
        result = __Pyx_Coroutine_Close(yf, &retval);
    } else
    if (__Pyx_CoroutineAwait_CheckExact(yf)) {
        result = __Pyx_CoroutineAwait_Close((__pyx_CoroutineAwaitObject*)yf);
    } else
    #endif
    #ifdef __Pyx_AsyncGen_USED
    if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
        retval = __Pyx_async_gen_asend_close(yf, NULL);
        result = PYGEN_RETURN;
    } else
    if (__pyx_PyAsyncGenAThrow_CheckExact(yf)) {
        retval = __Pyx_async_gen_athrow_close(yf, NULL);
        result = PYGEN_RETURN;
    } else
    #endif
    {
        PyObject *meth;
        result = PYGEN_RETURN;
        meth = __Pyx_PyObject_GetAttrStrNoError(yf, __pyx_mstate_global->__pyx_n_u_close);
        if (unlikely(!meth)) {
            if (unlikely(PyErr_Occurred())) {
                PyErr_WriteUnraisable(yf);
            }
        } else {
            retval = __Pyx_PyObject_CallNoArg(meth);
            Py_DECREF(meth);
            if (unlikely(!retval)) {
                result = PYGEN_ERROR;
            }
        }
    }
    Py_XDECREF(retval);
    return result == PYGEN_ERROR ? -1 : 0;
}
static PyObject *__Pyx_Generator_Next(PyObject *self) {
    __Pyx_PySendResult result;
    PyObject *retval = NULL;
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
    if (unlikely(__Pyx_Coroutine_test_and_set_is_running(gen))) {
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    }
    #if CYTHON_USE_AM_SEND
    if (gen->yieldfrom_am_send) {
        result = __Pyx_Coroutine_SendToDelegate(gen, gen->yieldfrom_am_send, Py_None, &retval);
    } else
    #endif
    if (gen->yieldfrom) {
        PyObject *yf = gen->yieldfrom;
        PyObject *ret;
        #ifdef __Pyx_Generator_USED
        if (__Pyx_Generator_CheckExact(yf)) {
            ret = __Pyx_Generator_Next(yf);
        } else
        #endif
        #ifdef __Pyx_Coroutine_USED
        if (__Pyx_Coroutine_CheckExact(yf)) {
            ret = __Pyx_Coroutine_Send(yf, Py_None);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && (PY_VERSION_HEX < 0x030A00A3 || !CYTHON_USE_AM_SEND)
        if (PyGen_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, NULL);
        } else
        #endif
            ret = __Pyx_PyIter_Next_Plain(yf);
        if (likely(ret)) {
            __Pyx_Coroutine_unset_is_running(gen);
            return ret;
        }
        result = __Pyx_Coroutine_FinishDelegation(gen, &retval);
    } else {
        result = __Pyx_Coroutine_SendEx(gen, Py_None, &retval, 0);
    }
    __Pyx_Coroutine_unset_is_running(gen);
    return __Pyx_Coroutine_MethodReturnFromResult(self, result, retval, 1);
}
static PyObject *__Pyx_Coroutine_Close_Method(PyObject *self, PyObject *arg) {
    PyObject *retval = NULL;
    __Pyx_PySendResult result;
    CYTHON_UNUSED_VAR(arg);
    result = __Pyx_Coroutine_Close(self, &retval);
    if (unlikely(result == PYGEN_ERROR))
        return NULL;
    Py_XDECREF(retval);
    Py_RETURN_NONE;
}
static __Pyx_PySendResult
__Pyx_Coroutine_Close(PyObject *self, PyObject **retval) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    __Pyx_PySendResult result;
    PyObject *yf;
    int err = 0;
    if (unlikely(__Pyx_Coroutine_test_and_set_is_running(gen))) {
        *retval = __Pyx_Coroutine_AlreadyRunningError(gen);
        return PYGEN_ERROR;
    }
    yf = gen->yieldfrom;
    if (yf) {
        Py_INCREF(yf);
        err = __Pyx_Coroutine_CloseIter(gen, yf);
        __Pyx_Coroutine_Undelegate(gen);
        Py_DECREF(yf);
    }
    if (err == 0)
        PyErr_SetNone(PyExc_GeneratorExit);
    result = __Pyx_Coroutine_SendEx(gen, NULL, retval, 1);
    if (result == PYGEN_ERROR) {
        __Pyx_PyThreadState_declare
        __Pyx_PyThreadState_assign
        __Pyx_Coroutine_unset_is_running(gen);
        if (!__Pyx_PyErr_Occurred()) {
            return PYGEN_RETURN;
        } else if (likely(__Pyx_PyErr_ExceptionMatches2(PyExc_GeneratorExit, PyExc_StopIteration))) {
            __Pyx_PyErr_Clear();
            return PYGEN_RETURN;
        }
        return PYGEN_ERROR;
    } else if (likely(result == PYGEN_RETURN && *retval == Py_None)) {
        __Pyx_Coroutine_unset_is_running(gen);
        return PYGEN_RETURN;
    } else {
        const char *msg;
        Py_DECREF(*retval);
        *retval = NULL;
        if ((0)) {
        #ifdef __Pyx_Coroutine_USED
        } else if (__Pyx_Coroutine_Check(self)) {
            msg = "coroutine ignored GeneratorExit";
        #endif
        #ifdef __Pyx_AsyncGen_USED
        } else if (__Pyx_AsyncGen_CheckExact(self)) {
            msg = "async generator ignored GeneratorExit";
        #endif
        } else {
            msg = "generator ignored GeneratorExit";
        }
        PyErr_SetString(PyExc_RuntimeError, msg);
        __Pyx_Coroutine_unset_is_running(gen);
        return PYGEN_ERROR;
    }
}
static PyObject *__Pyx__Coroutine_Throw(PyObject *self, PyObject *typ, PyObject *val, PyObject *tb,
                                        PyObject *args, int close_on_genexit) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject *yf;
    if (unlikely(__Pyx_Coroutine_test_and_set_is_running(gen)))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    yf = gen->yieldfrom;
    if (yf) {
        __Pyx_PySendResult result;
        PyObject *ret;
        Py_INCREF(yf);
        if (__Pyx_PyErr_GivenExceptionMatches(typ, PyExc_GeneratorExit) && close_on_genexit) {
            int err = __Pyx_Coroutine_CloseIter(gen, yf);
            Py_DECREF(yf);
            __Pyx_Coroutine_Undelegate(gen);
            if (err < 0)
                goto propagate_exception;
            goto throw_here;
        }
        if (0
        #ifdef __Pyx_Generator_USED
            || __Pyx_Generator_CheckExact(yf)
        #endif
        #ifdef __Pyx_Coroutine_USED
            || __Pyx_Coroutine_Check(yf)
        #endif
            ) {
            ret = __Pyx__Coroutine_Throw(yf, typ, val, tb, args, close_on_genexit);
        #ifdef __Pyx_Coroutine_USED
        } else if (__Pyx_CoroutineAwait_CheckExact(yf)) {
            ret = __Pyx__Coroutine_Throw(((__pyx_CoroutineAwaitObject*)yf)->coroutine, typ, val, tb, args, close_on_genexit);
        #endif
        } else {
            PyObject *meth = __Pyx_PyObject_GetAttrStrNoError(yf, __pyx_mstate_global->__pyx_n_u_throw);
            if (unlikely(!meth)) {
                Py_DECREF(yf);
                if (unlikely(PyErr_Occurred())) {
                    __Pyx_Coroutine_unset_is_running(gen);
                    return NULL;
                }
                __Pyx_Coroutine_Undelegate(gen);
                goto throw_here;
            }
            if (likely(args)) {
                ret = __Pyx_PyObject_Call(meth, args, NULL);
            } else {
                PyObject *cargs[4] = {NULL, typ, val, tb};
                ret = __Pyx_PyObject_FastCall(meth, cargs+1, 3 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
            }
            Py_DECREF(meth);
        }
        Py_DECREF(yf);
        if (ret) {
            __Pyx_Coroutine_unset_is_running(gen);
            return ret;
        }
        result = __Pyx_Coroutine_FinishDelegation(gen, &ret);
        __Pyx_Coroutine_unset_is_running(gen);
        return __Pyx_Coroutine_MethodReturnFromResult(self, result, ret, 0);
    }
throw_here:
    __Pyx_Raise(typ, val, tb, NULL);
propagate_exception:
    {
        PyObject *retval = NULL;
        __Pyx_PySendResult result = __Pyx_Coroutine_SendEx(gen, NULL, &retval, 0);
        __Pyx_Coroutine_unset_is_running(gen);
        return __Pyx_Coroutine_MethodReturnFromResult(self, result, retval, 0);
    }
}
static PyObject *__Pyx_Coroutine_Throw(PyObject *self, PyObject *args) {
    PyObject *typ;
    PyObject *val = NULL;
    PyObject *tb = NULL;
    if (unlikely(!PyArg_UnpackTuple(args, "throw", 1, 3, &typ, &val, &tb)))
        return NULL;
    return __Pyx__Coroutine_Throw(self, typ, val, tb, args, 1);
}
static CYTHON_INLINE int __Pyx_Coroutine_traverse_excstate(__Pyx_ExcInfoStruct *exc_state, visitproc visit, void *arg) {
#if PY_VERSION_HEX >= 0x030B00a4
    Py_VISIT(exc_state->exc_value);
#else
    Py_VISIT(exc_state->exc_type);
    Py_VISIT(exc_state->exc_value);
    Py_VISIT(exc_state->exc_traceback);
#endif
    return 0;
}
static int __Pyx_Coroutine_traverse(__pyx_CoroutineObject *gen, visitproc visit, void *arg) {
    {
        int e = __Pyx_call_type_traverse((PyObject*)gen, 1, visit, arg);
        if (e) return e;
    }
    Py_VISIT(gen->closure);
    Py_VISIT(gen->classobj);
    Py_VISIT(gen->yieldfrom);
    return __Pyx_Coroutine_traverse_excstate(&gen->gi_exc_state, visit, arg);
}
static int __Pyx_Coroutine_clear(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    Py_CLEAR(gen->closure);
    Py_CLEAR(gen->classobj);
    __Pyx_Coroutine_Undelegate(gen);
    __Pyx_Coroutine_ExceptionClear(&gen->gi_exc_state);
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        Py_CLEAR(((__pyx_PyAsyncGenObject*)gen)->ag_finalizer);
    }
#endif
    Py_CLEAR(gen->gi_code);
    Py_CLEAR(gen->gi_frame);
    Py_CLEAR(gen->gi_name);
    Py_CLEAR(gen->gi_qualname);
    Py_CLEAR(gen->gi_modulename);
    return 0;
}
static void __Pyx_Coroutine_dealloc(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject_GC_UnTrack(gen);
    #if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    if (gen->gi_weakreflist != NULL)
    #endif
        PyObject_ClearWeakRefs(self);
    if (gen->resume_label >= 0) {
        PyObject_GC_Track(self);
#if CYTHON_USE_TP_FINALIZE
        if (unlikely(PyObject_CallFinalizerFromDealloc(self)))
#else
        {
            destructor del = __Pyx_PyObject_GetSlot(gen, tp_del, destructor);
            if (del) del(self);
        }
        if (unlikely(Py_REFCNT(self) > 0))
#endif
        {
            return;
        }
        PyObject_GC_UnTrack(self);
    }
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        /* We have to handle this case for asynchronous generators
           right here, because this code has to be between UNTRACK
           and GC_Del. */
        Py_CLEAR(((__pyx_PyAsyncGenObject*)self)->ag_finalizer);
    }
#endif
    __Pyx_Coroutine_clear(self);
    __Pyx_PyHeapTypeObject_GC_Del(gen);
}
#if CYTHON_USE_TP_FINALIZE
static void __Pyx_Coroutine_del(PyObject *self) {
    PyObject *error_type, *error_value, *error_traceback;
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    __Pyx_PyThreadState_declare
    if (gen->resume_label < 0) {
        return;
    }
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&error_type, &error_value, &error_traceback);
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        __pyx_PyAsyncGenObject *agen = (__pyx_PyAsyncGenObject*)self;
        PyObject *finalizer = agen->ag_finalizer;
        if (finalizer && !agen->ag_closed) {
            PyObject *res = __Pyx_PyObject_CallOneArg(finalizer, self);
            if (unlikely(!res)) {
                PyErr_WriteUnraisable(self);
            } else {
                Py_DECREF(res);
            }
            __Pyx_ErrRestore(error_type, error_value, error_traceback);
            return;
        }
    }
#endif
    if (unlikely(gen->resume_label == 0 && !error_value)) {
#ifdef __Pyx_Coroutine_USED
#ifdef __Pyx_Generator_USED
    if (!__Pyx_Generator_CheckExact(self))
#endif
        {
        PyObject_GC_UnTrack(self);
        if (unlikely(PyErr_WarnFormat(PyExc_RuntimeWarning, 1, "coroutine '%.50S' was never awaited", gen->gi_qualname) < 0))
            PyErr_WriteUnraisable(self);
        PyObject_GC_Track(self);
        }
#endif
    } else {
        PyObject *retval = NULL;
        __Pyx_PySendResult result = __Pyx_Coroutine_Close(self, &retval);
        if (result == PYGEN_ERROR) {
            PyErr_WriteUnraisable(self);
        } else {
            Py_XDECREF(retval);
        }
    }
    __Pyx_ErrRestore(error_type, error_value, error_traceback);
}
#endif
static PyObject *
__Pyx_Coroutine_get_name(__pyx_CoroutineObject *self, void *context)
{
    PyObject *name = self->gi_name;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!name)) name = Py_None;
    Py_INCREF(name);
    return name;
}
static int
__Pyx_Coroutine_set_name(__pyx_CoroutineObject *self, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(self->gi_name, value);
    return 0;
}
static PyObject *
__Pyx_Coroutine_get_qualname(__pyx_CoroutineObject *self, void *context)
{
    PyObject *name = self->gi_qualname;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!name)) name = Py_None;
    Py_INCREF(name);
    return name;
}
static int
__Pyx_Coroutine_set_qualname(__pyx_CoroutineObject *self, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(self->gi_qualname, value);
    return 0;
}
static PyObject *
__Pyx__Coroutine_get_frame(__pyx_CoroutineObject *self)
{
#if !CYTHON_COMPILING_IN_LIMITED_API
    PyObject *frame;
    #if PY_VERSION_HEX >= 0x030d0000
    Py_BEGIN_CRITICAL_SECTION(self);
    #endif
    frame = self->gi_frame;
    if (!frame) {
        if (unlikely(!self->gi_code)) {
            Py_RETURN_NONE;
        }
        PyObject *globals = PyDict_New();
        if (unlikely(!globals)) return NULL;
        frame = (PyObject *) PyFrame_New(
            PyThreadState_Get(),            /*PyThreadState *tstate,*/
            (PyCodeObject*) self->gi_code,  /*PyCodeObject *code,*/
            globals,                        /*PyObject *globals,*/
            0                               /*PyObject *locals*/
        );
        Py_DECREF(globals);
        if (unlikely(!frame))
            return NULL;
        if (unlikely(self->gi_frame)) {
            Py_DECREF(frame);
            frame = self->gi_frame;
        } else {
            self->gi_frame = frame;
        }
    }
    Py_INCREF(frame);
    #if PY_VERSION_HEX >= 0x030d0000
    Py_END_CRITICAL_SECTION();
    #endif
    return frame;
#else
    CYTHON_UNUSED_VAR(self);
    Py_RETURN_NONE;
#endif
}
static PyObject *
__Pyx_Coroutine_get_frame(__pyx_CoroutineObject *self, void *context) {
    CYTHON_UNUSED_VAR(context);
    PyObject *frame = self->gi_frame;
    if (frame)
        return __Pyx_NewRef(frame);
    return __Pyx__Coroutine_get_frame(self);
}
static __pyx_CoroutineObject *__Pyx__Coroutine_New(
            PyTypeObject* type, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name) {
    __pyx_CoroutineObject *gen = PyObject_GC_New(__pyx_CoroutineObject, type);
    if (unlikely(!gen))
        return NULL;
    return __Pyx__Coroutine_NewInit(gen, body, code, closure, name, qualname, module_name);
}
static __pyx_CoroutineObject *__Pyx__Coroutine_NewInit(
            __pyx_CoroutineObject *gen, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name) {
    gen->body = body;
    gen->closure = closure;
    Py_XINCREF(closure);
    gen->is_running = 0;
    gen->resume_label = 0;
    gen->classobj = NULL;
    gen->yieldfrom = NULL;
    gen->yieldfrom_am_send = NULL;
    #if PY_VERSION_HEX >= 0x030B00a4 && !CYTHON_COMPILING_IN_LIMITED_API
    gen->gi_exc_state.exc_value = NULL;
    #else
    gen->gi_exc_state.exc_type = NULL;
    gen->gi_exc_state.exc_value = NULL;
    gen->gi_exc_state.exc_traceback = NULL;
    #endif
#if CYTHON_USE_EXC_INFO_STACK
    gen->gi_exc_state.previous_item = NULL;
#endif
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    gen->gi_weakreflist = NULL;
#endif
    Py_XINCREF(qualname);
    gen->gi_qualname = qualname;
    Py_XINCREF(name);
    gen->gi_name = name;
    Py_XINCREF(module_name);
    gen->gi_modulename = module_name;
    Py_XINCREF(code);
    gen->gi_code = code;
    gen->gi_frame = NULL;
    PyObject_GC_Track(gen);
    return gen;
}
static char __Pyx_Coroutine_test_and_set_is_running(__pyx_CoroutineObject *gen) {
    char result;
    #if PY_VERSION_HEX >= 0x030d0000 && !CYTHON_COMPILING_IN_LIMITED_API
    Py_BEGIN_CRITICAL_SECTION(gen);
    #endif
    result = gen->is_running;
    gen->is_running = 1;
    #if PY_VERSION_HEX >= 0x030d0000 && !CYTHON_COMPILING_IN_LIMITED_API
    Py_END_CRITICAL_SECTION();
    #endif
    return result;
}
static void __Pyx_Coroutine_unset_is_running(__pyx_CoroutineObject *gen) {
    #if PY_VERSION_HEX >= 0x030d0000 && !CYTHON_COMPILING_IN_LIMITED_API
    Py_BEGIN_CRITICAL_SECTION(gen);
    #endif
    assert(gen->is_running);
    gen->is_running = 0;
    #if PY_VERSION_HEX >= 0x030d0000 && !CYTHON_COMPILING_IN_LIMITED_API
    Py_END_CRITICAL_SECTION();
    #endif
}
static char __Pyx_Coroutine_get_is_running(__pyx_CoroutineObject *gen) {
    char result;
    #if PY_VERSION_HEX >= 0x030d0000 && !CYTHON_COMPILING_IN_LIMITED_API
    Py_BEGIN_CRITICAL_SECTION(gen);
    #endif
    result = gen->is_running;
    #if PY_VERSION_HEX >= 0x030d0000 && !CYTHON_COMPILING_IN_LIMITED_API
    Py_END_CRITICAL_SECTION();
    #endif
    return result;
}
static PyObject *__Pyx_Coroutine_get_is_running_getter(PyObject *gen, void *closure) {
    CYTHON_UNUSED_VAR(closure);
    char result = __Pyx_Coroutine_get_is_running((__pyx_CoroutineObject*)gen);
    if (result) Py_RETURN_TRUE;
    else Py_RETURN_FALSE;
}
#if __PYX_HAS_PY_AM_SEND == 2
static void __Pyx_SetBackportTypeAmSend(PyTypeObject *type, __Pyx_PyAsyncMethodsStruct *static_amsend_methods, __Pyx_pyiter_sendfunc am_send) {
    Py_ssize_t ptr_offset = (char*)(type->tp_as_async) - (char*)type;
    if (ptr_offset < 0 || ptr_offset > type->tp_basicsize) {
        return;
    }
    memcpy((void*)static_amsend_methods, (void*)(type->tp_as_async), sizeof(*type->tp_as_async));
    static_amsend_methods->am_send = am_send;
    type->tp_as_async = __Pyx_SlotTpAsAsync(static_amsend_methods);
}
#endif
static PyObject *__Pyx_Coroutine_fail_reduce_ex(PyObject *self, PyObject *arg) {
    CYTHON_UNUSED_VAR(arg);
    __Pyx_TypeName self_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE((PyObject*)self));
    PyErr_Format(PyExc_TypeError, "cannot pickle '" __Pyx_FMT_TYPENAME "' object",
                         self_type_name);
    __Pyx_DECREF_TypeName(self_type_name);
    return NULL;
}

/* Generator (used by GeneratorYieldFrom) */
static PyMethodDef __pyx_Generator_methods[] = {
    {"send", (PyCFunction) __Pyx_Coroutine_Send, METH_O,
     PyDoc_STR("send(arg) -> send 'arg' into generator,\nreturn next yielded value or raise StopIteration.")},
    {"throw", (PyCFunction) __Pyx_Coroutine_Throw, METH_VARARGS,
     PyDoc_STR("throw(typ[,val[,tb]]) -> raise exception in generator,\nreturn next yielded value or raise StopIteration.")},
    {"close", (PyCFunction) __Pyx_Coroutine_Close_Method, METH_NOARGS,
     PyDoc_STR("close() -> raise GeneratorExit inside generator.")},
    {"__reduce_ex__", (PyCFunction) __Pyx_Coroutine_fail_reduce_ex, METH_O, 0},
    {"__reduce__", (PyCFunction) __Pyx_Coroutine_fail_reduce_ex, METH_NOARGS, 0},
    {0, 0, 0, 0}
};
static PyMemberDef __pyx_Generator_memberlist[] = {
    {"gi_yieldfrom", T_OBJECT, offsetof(__pyx_CoroutineObject, yieldfrom), READONLY,
     PyDoc_STR("object being iterated by 'yield from', or None")},
    {"gi_code", T_OBJECT, offsetof(__pyx_CoroutineObject, gi_code), READONLY, NULL},
    {"__module__", T_OBJECT, offsetof(__pyx_CoroutineObject, gi_modulename), 0, 0},
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    {"__weaklistoffset__", T_PYSSIZET, offsetof(__pyx_CoroutineObject, gi_weakreflist), READONLY, 0},
#endif
    {0, 0, 0, 0, 0}
};
static PyGetSetDef __pyx_Generator_getsets[] = {
    {"__name__", (getter)__Pyx_Coroutine_get_name, (setter)__Pyx_Coroutine_set_name,
     PyDoc_STR("name of the generator"), 0},
    {"__qualname__", (getter)__Pyx_Coroutine_get_qualname, (setter)__Pyx_Coroutine_set_qualname,
     PyDoc_STR("qualified name of the generator"), 0},
    {"gi_frame", (getter)__Pyx_Coroutine_get_frame, NULL,
     PyDoc_STR("Frame of the generator"), 0},
    {"gi_running", __Pyx_Coroutine_get_is_running_getter, NULL, NULL, NULL},
    {0, 0, 0, 0, 0}
};
static PyType_Slot __pyx_GeneratorType_slots[] = {
    {Py_tp_dealloc, (void *)__Pyx_Coroutine_dealloc},
    {Py_tp_traverse, (void *)__Pyx_Coroutine_traverse},
    {Py_tp_iter, (void *)PyObject_SelfIter},
    {Py_tp_iternext, (void *)__Pyx_Generator_Next},
    {Py_tp_methods, (void *)__pyx_Generator_methods},
    {Py_tp_members, (void *)__pyx_Generator_memberlist},
    {Py_tp_getset, (void *)__pyx_Generator_getsets},
    {Py_tp_getattro, (void *) PyObject_GenericGetAttr},
#if CYTHON_USE_TP_FINALIZE
    {Py_tp_finalize, (void *)__Pyx_Coroutine_del},
#endif
#if __PYX_HAS_PY_AM_SEND == 1
    {Py_am_send, (void *)__Pyx_Coroutine_AmSend},
#endif
    {0, 0},
};
static PyType_Spec __pyx_GeneratorType_spec = {
    __PYX_TYPE_MODULE_PREFIX "generator",
    sizeof(__pyx_CoroutineObject),
    0,
#if PY_VERSION_HEX >= 0x030C0000 && !CYTHON_COMPILING_IN_LIMITED_API
    Py_TPFLAGS_MANAGED_WEAKREF |
#endif
    Py_TPFLAGS_IMMUTABLETYPE | Py_TPFLAGS_DISALLOW_INSTANTIATION |
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | __Pyx_TPFLAGS_HAVE_AM_SEND,
    __pyx_GeneratorType_slots
};
#if __PYX_HAS_PY_AM_SEND == 2
static __Pyx_PyAsyncMethodsStruct __pyx_Generator_as_async;
#endif
static int __pyx_Generator_init(PyObject *module) {
    __pyx_mstatetype *mstate = __Pyx_PyModule_GetState(module);
    mstate->__pyx_GeneratorType = __Pyx_FetchCommonTypeFromSpec(
        mstate->__pyx_CommonTypesMetaclassType, module, &__pyx_GeneratorType_spec, NULL);
    if (unlikely(!mstate->__pyx_GeneratorType)) {
        return -1;
    }
#if __PYX_HAS_PY_AM_SEND == 2
    __Pyx_SetBackportTypeAmSend(mstate->__pyx_GeneratorType, &__pyx_Generator_as_async, &__Pyx_Coroutine_AmSend);
#endif
    return 0;
}
static PyObject *__Pyx_Generator_GetInlinedResult(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
    PyObject *retval = NULL;
    if (unlikely(__Pyx_Coroutine_test_and_set_is_running(gen))) {
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    }
    __Pyx_PySendResult result = __Pyx_Coroutine_SendEx(gen, Py_None, &retval, 0);
    __Pyx_Coroutine_unset_is_running(gen);
    (void) result;
    assert (result == PYGEN_RETURN || result == PYGEN_ERROR);
    assert ((result == PYGEN_RETURN && retval != NULL) || (result == PYGEN_ERROR && retval == NULL));
    return retval;
}

/* GeneratorYieldFrom */
#if CYTHON_USE_TYPE_SLOTS
static void __Pyx_PyIter_CheckErrorAndDecref(PyObject *source) {
    __Pyx_TypeName source_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(source));
    PyErr_Format(PyExc_TypeError,
        "iter() returned non-iterator of type '" __Pyx_FMT_TYPENAME "'", source_type_name);
    __Pyx_DECREF_TypeName(source_type_name);
    Py_DECREF(source);
}
#endif
static CYTHON_INLINE __Pyx_PySendResult __Pyx_Generator_Yield_From(__pyx_CoroutineObject *gen, PyObject *source, PyObject **retval) {
    PyObject *source_gen;
    __Pyx_PySendResult result;
#ifdef __Pyx_Coroutine_USED
    if (__Pyx_Coroutine_Check(source)) {
        Py_INCREF(source);
        source_gen = source;
        result = __Pyx_Coroutine_AmSend(source, Py_None, retval);
    } else
#endif
    {
#if CYTHON_USE_TYPE_SLOTS
        if (likely(Py_TYPE(source)->tp_iter)) {
            source_gen = Py_TYPE(source)->tp_iter(source);
            if (unlikely(!source_gen)) {
                *retval = NULL;
                return PYGEN_ERROR;
            }
            if (unlikely(!PyIter_Check(source_gen))) {
                __Pyx_PyIter_CheckErrorAndDecref(source_gen);
                *retval = NULL;
                return PYGEN_ERROR;
            }
        } else
#endif
        {
            source_gen = PyObject_GetIter(source);
            if (unlikely(!source_gen)) {
                *retval = NULL;
                return PYGEN_ERROR;
            }
        }
        *retval = __Pyx_PyIter_Next_Plain(source_gen);
        result = __Pyx_Coroutine_status_from_result(retval);
    }
    if (likely(result == PYGEN_NEXT)) {
        __Pyx_Coroutine_Set_Owned_Yield_From(gen, source_gen);
        return PYGEN_NEXT;
    }
    Py_DECREF(source_gen);
    return result;
}

/* append */
static CYTHON_INLINE int __Pyx_PyObject_Append(PyObject* L, PyObject* x) {
    if (likely(PyList_CheckExact(L))) {
        if (unlikely(__Pyx_PyList_Append(L, x) < 0)) return -1;
    } else {
        PyObject* retval = __Pyx_PyObject_CallMethod1(L, __pyx_mstate_global->__pyx_n_u_append, x);
        if (unlikely(!retval))
            return -1;
        Py_DECREF(retval);
    }
    return 0;
}

/* PyLongBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_Fallback___Pyx_PyLong_AddObjC(PyObject *op1, PyObject *op2, int inplace) {
    return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
}
#if CYTHON_USE_PYLONG_INTERNALS
static PyObject* __Pyx_Unpacked___Pyx_PyLong_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    const long b = intval;
    long a;
    const PY_LONG_LONG llb = intval;
    PY_LONG_LONG lla;
    if (unlikely(__Pyx_PyLong_IsZero(op1))) {
        return __Pyx_NewRef(op2);
    }
    const int is_positive = __Pyx_PyLong_IsPos(op1);
    const digit* digits = __Pyx_PyLong_Digits(op1);
    const Py_ssize_t size = __Pyx_PyLong_DigitCount(op1);
    if (likely(size == 1)) {
        a = (long) digits[0];
        if (!is_positive) a *= -1;
    } else {
        switch (size) {
            case 2:
                if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                    a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if (!is_positive) a *= -1;
                    goto calculate_long;
                } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                    lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                    if (!is_positive) lla *= -1;
                    goto calculate_long_long;
                }
                break;
            case 3:
                if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                    a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if (!is_positive) a *= -1;
                    goto calculate_long;
                } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                    lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                    if (!is_positive) lla *= -1;
                    goto calculate_long_long;
                }
                break;
            case 4:
                if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                    a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if (!is_positive) a *= -1;
                    goto calculate_long;
                } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                    lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                    if (!is_positive) lla *= -1;
                    goto calculate_long_long;
                }
                break;
        }
        return PyLong_Type.tp_as_number->nb_add(op1, op2);
    }
    calculate_long:
        {
            long x;
            x = a + b;
            return PyLong_FromLong(x);
        }
    calculate_long_long:
        {
            PY_LONG_LONG llx;
            llx = lla + llb;
            return PyLong_FromLongLong(llx);
        }
    
}
#endif
static PyObject* __Pyx_Float___Pyx_PyLong_AddObjC(PyObject *float_val, long intval, int zerodivision_check) {
    CYTHON_UNUSED_VAR(zerodivision_check);
    const long b = intval;
    double a = __Pyx_PyFloat_AS_DOUBLE(float_val);
        double result;
        
        result = ((double)a) + (double)b;
        return PyFloat_FromDouble(result);
}
static CYTHON_INLINE PyObject* __Pyx_PyLong_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        return __Pyx_Unpacked___Pyx_PyLong_AddObjC(op1, op2, intval, inplace, zerodivision_check);
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        return __Pyx_Float___Pyx_PyLong_AddObjC(op1, intval, zerodivision_check);
    }
    return __Pyx_Fallback___Pyx_PyLong_AddObjC(op1, op2, inplace);
}
#endif

/* py_abs */
#if CYTHON_USE_PYLONG_INTERNALS
static PyObject *__Pyx_PyLong_AbsNeg(PyObject *n) {
#if PY_VERSION_HEX >= 0x030C00A7
    if (likely(__Pyx_PyLong_IsCompact(n))) {
        return PyLong_FromSize_t(__Pyx_PyLong_CompactValueUnsigned(n));
    }
#else
    if (likely(Py_SIZE(n) == -1)) {
        return PyLong_FromUnsignedLong(__Pyx_PyLong_Digits(n)[0]);
    }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
    {
        PyObject *copy = _PyLong_Copy((PyLongObject*)n);
        if (likely(copy)) {
            #if PY_VERSION_HEX >= 0x030C00A7
            ((PyLongObject*)copy)->long_value.lv_tag ^= ((PyLongObject*)copy)->long_value.lv_tag & _PyLong_SIGN_MASK;
            #else
            __Pyx_SET_SIZE(copy, -Py_SIZE(copy));
            #endif
        }
        return copy;
    }
#else
    return PyNumber_Negative(n);
#endif
}
#endif

/* PyFloatBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_TrueDivideObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double b = floatval;
    double a, result;
    CYTHON_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    if (likely(PyFloat_CheckExact(op1))) {
        a = __Pyx_PyFloat_AS_DOUBLE(op1);
        
    } else
    if (likely(PyLong_CheckExact(op1))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsZero(op1)) {
            a = 0.0;
            
        } else if (__Pyx_PyLong_IsCompact(op1)) {
            a = (double) __Pyx_PyLong_CompactValue(op1);
        } else {
            const digit* digits = __Pyx_PyLong_Digits(op1);
            const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(op1);
            switch (size) {
                case -2:
                case 2:
                    if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                        a = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                            if (size == -2)
                                a = -a;
                            break;
                        }
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                case 3:
                    if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                        a = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                            if (size == -3)
                                a = -a;
                            break;
                        }
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                case 4:
                    if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                        a = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                            if (size == -4)
                                a = -a;
                            break;
                        }
                    }
                    CYTHON_FALLTHROUGH;
                default:
        #endif
                    a = PyLong_AsDouble(op1);
                    if (unlikely(a == -1.0 && PyErr_Occurred())) return NULL;
        #if CYTHON_USE_PYLONG_INTERNALS
            }
        }
        #endif
    } else {
        return (inplace ? PyNumber_InPlaceTrueDivide : PyNumber_TrueDivide)(op1, op2);
    }
        result = a / b;
        return PyFloat_FromDouble(result);
}
#endif

/* pybytes_as_double (used by pynumber_float) */
static double __Pyx_SlowPyString_AsDouble(PyObject *obj) {
    PyObject *float_value = PyFloat_FromString(obj);
    if (likely(float_value)) {
        double value = __Pyx_PyFloat_AS_DOUBLE(float_value);
        Py_DECREF(float_value);
        return value;
    }
    return (double)-1;
}
static const char* __Pyx__PyBytes_AsDouble_Copy(const char* start, char* buffer, Py_ssize_t length) {
    int last_was_punctuation = 1;
    int parse_error_found = 0;
    Py_ssize_t i;
    for (i=0; i < length; i++) {
        char chr = start[i];
        int is_punctuation = (chr == '_') | (chr == '.') | (chr == 'e') | (chr == 'E');
        *buffer = chr;
        buffer += (chr != '_');
        parse_error_found |= last_was_punctuation & is_punctuation;
        last_was_punctuation = is_punctuation;
    }
    parse_error_found |= last_was_punctuation;
    *buffer = '\0';
    return unlikely(parse_error_found) ? NULL : buffer;
}
static double __Pyx__PyBytes_AsDouble_inf_nan(const char* start, Py_ssize_t length) {
    int matches = 1;
    char sign = start[0];
    int is_signed = (sign == '+') | (sign == '-');
    start += is_signed;
    length -= is_signed;
    switch (start[0]) {
        #ifdef Py_NAN
        case 'n':
        case 'N':
            if (unlikely(length != 3)) goto parse_failure;
            matches &= (start[1] == 'a' || start[1] == 'A');
            matches &= (start[2] == 'n' || start[2] == 'N');
            if (unlikely(!matches)) goto parse_failure;
            return (sign == '-') ? -Py_NAN : Py_NAN;
        #endif
        case 'i':
        case 'I':
            if (unlikely(length < 3)) goto parse_failure;
            matches &= (start[1] == 'n' || start[1] == 'N');
            matches &= (start[2] == 'f' || start[2] == 'F');
            if (likely(length == 3 && matches))
                return (sign == '-') ? -Py_HUGE_VAL : Py_HUGE_VAL;
            if (unlikely(length != 8)) goto parse_failure;
            matches &= (start[3] == 'i' || start[3] == 'I');
            matches &= (start[4] == 'n' || start[4] == 'N');
            matches &= (start[5] == 'i' || start[5] == 'I');
            matches &= (start[6] == 't' || start[6] == 'T');
            matches &= (start[7] == 'y' || start[7] == 'Y');
            if (unlikely(!matches)) goto parse_failure;
            return (sign == '-') ? -Py_HUGE_VAL : Py_HUGE_VAL;
        case '.': case '0': case '1': case '2': case '3': case '4': case '5': case '6': case '7': case '8': case '9':
            break;
        default:
            goto parse_failure;
    }
    return 0.0;
parse_failure:
    return -1.0;
}
static CYTHON_INLINE int __Pyx__PyBytes_AsDouble_IsSpace(char ch) {
    return (ch == 0x20) | !((ch < 0x9) | (ch > 0xd));
}
CYTHON_UNUSED static double __Pyx__PyBytes_AsDouble(PyObject *obj, const char* start, Py_ssize_t length) {
    double value;
    Py_ssize_t i, digits;
    const char *last = start + length;
    char *end;
    while (__Pyx__PyBytes_AsDouble_IsSpace(*start))
        start++;
    while (start < last - 1 && __Pyx__PyBytes_AsDouble_IsSpace(last[-1]))
        last--;
    length = last - start;
    if (unlikely(length <= 0)) goto fallback;
    value = __Pyx__PyBytes_AsDouble_inf_nan(start, length);
    if (unlikely(value == -1.0)) goto fallback;
    if (value != 0.0) return value;
    digits = 0;
    for (i=0; i < length; digits += start[i++] != '_');
    if (likely(digits == length)) {
        value = PyOS_string_to_double(start, &end, NULL);
    } else if (digits < 40) {
        char number[40];
        last = __Pyx__PyBytes_AsDouble_Copy(start, number, length);
        if (unlikely(!last)) goto fallback;
        value = PyOS_string_to_double(number, &end, NULL);
    } else {
        char *number = (char*) PyMem_Malloc((digits + 1) * sizeof(char));
        if (unlikely(!number)) goto fallback;
        last = __Pyx__PyBytes_AsDouble_Copy(start, number, length);
        if (unlikely(!last)) {
            PyMem_Free(number);
            goto fallback;
        }
        value = PyOS_string_to_double(number, &end, NULL);
        PyMem_Free(number);
    }
    if (likely(end == last) || (value == (double)-1 && PyErr_Occurred())) {
        return value;
    }
fallback:
    return __Pyx_SlowPyString_AsDouble(obj);
}

/* pynumber_float */
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Float(PyObject* obj) {
    double val;
    if (PyLong_CheckExact(obj)) {
#if CYTHON_USE_PYLONG_INTERNALS
        if (likely(__Pyx_PyLong_IsCompact(obj))) {
            val = (double) __Pyx_PyLong_CompactValue(obj);
            goto no_error;
        }
#endif
        val = PyLong_AsDouble(obj);
    } else if (PyUnicode_CheckExact(obj)) {
        val = __Pyx_PyUnicode_AsDouble(obj);
    } else if (PyBytes_CheckExact(obj)) {
        val = __Pyx_PyBytes_AsDouble(obj);
    } else if (PyByteArray_CheckExact(obj)) {
        val = __Pyx_PyByteArray_AsDouble(obj);
    } else {
        return PyNumber_Float(obj);
    }
    if (unlikely(val == -1 && PyErr_Occurred())) {
        return NULL;
    }
#if CYTHON_USE_PYLONG_INTERNALS
no_error:
#endif
    return PyFloat_FromDouble(val);
}

/* PyFloatBinop */
#if !CYTHON_COMPILING_IN_PYPY
static int __Pyx_PyFloat_BoolEqObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double b = floatval;
    double a;
    CYTHON_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    if (op1 == op2) {
        return 1;
    }
    if (likely(PyFloat_CheckExact(op1))) {
        a = __Pyx_PyFloat_AS_DOUBLE(op1);
        
    } else
    if (likely(PyLong_CheckExact(op1))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsZero(op1)) {
            a = 0.0;
            
        } else if (__Pyx_PyLong_IsCompact(op1)) {
            a = (double) __Pyx_PyLong_CompactValue(op1);
        } else {
            const digit* digits = __Pyx_PyLong_Digits(op1);
            const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(op1);
            switch (size) {
                case -2:
                case 2:
                    if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                        a = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                            if (size == -2)
                                a = -a;
                            break;
                        }
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                case 3:
                    if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                        a = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                            if (size == -3)
                                a = -a;
                            break;
                        }
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                case 4:
                    if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                        a = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                            if (size == -4)
                                a = -a;
                            break;
                        }
                    }
                    CYTHON_FALLTHROUGH;
                default:
        #endif
                    {
                        PyObject *res =
                    #if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
                            __Pyx_PyType_GetSlot((&PyFloat_Type), tp_richcompare, richcmpfunc)
                    #else
                            PyObject_RichCompare
                    #endif
                        (op2, op1,
                         Py_EQ);
                    return __Pyx_PyObject_IsTrueAndDecref(
                        res);
                    }
        #if CYTHON_USE_PYLONG_INTERNALS
            }
        }
        #endif
    } else {
        return __Pyx_PyObject_IsTrueAndDecref(
            PyObject_RichCompare(op1, op2, Py_EQ));
    }
        if (a == b) {
            return 1;
        } else {
            return 0;
        }
}
#endif

/* PyLongBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_Fallback___Pyx_PyLong_SubtractCObj(PyObject *op1, PyObject *op2, int inplace) {
    return (inplace ? PyNumber_InPlaceSubtract : PyNumber_Subtract)(op1, op2);
}
#if CYTHON_USE_PYLONG_INTERNALS
static PyObject* __Pyx_Unpacked___Pyx_PyLong_SubtractCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    const long a = intval;
    long b;
    const PY_LONG_LONG lla = intval;
    PY_LONG_LONG llb;
    if (unlikely(__Pyx_PyLong_IsZero(op2))) {
        return __Pyx_NewRef(op1);
    }
    const int is_positive = __Pyx_PyLong_IsPos(op2);
    const digit* digits = __Pyx_PyLong_Digits(op2);
    const Py_ssize_t size = __Pyx_PyLong_DigitCount(op2);
    if (likely(size == 1)) {
        b = (long) digits[0];
        if (!is_positive) b *= -1;
    } else {
        switch (size) {
            case 2:
                if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                    b = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if (!is_positive) b *= -1;
                    goto calculate_long;
                } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                    llb = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                    if (!is_positive) llb *= -1;
                    goto calculate_long_long;
                }
                break;
            case 3:
                if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                    b = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if (!is_positive) b *= -1;
                    goto calculate_long;
                } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                    llb = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                    if (!is_positive) llb *= -1;
                    goto calculate_long_long;
                }
                break;
            case 4:
                if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                    b = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if (!is_positive) b *= -1;
                    goto calculate_long;
                } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                    llb = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                    if (!is_positive) llb *= -1;
                    goto calculate_long_long;
                }
                break;
        }
        return PyLong_Type.tp_as_number->nb_subtract(op1, op2);
    }
    calculate_long:
        {
            long x;
            x = a - b;
            return PyLong_FromLong(x);
        }
    calculate_long_long:
        {
            PY_LONG_LONG llx;
            llx = lla - llb;
            return PyLong_FromLongLong(llx);
        }
    
}
#endif
static PyObject* __Pyx_Float___Pyx_PyLong_SubtractCObj(PyObject *float_val, long intval, int zerodivision_check) {
    CYTHON_UNUSED_VAR(zerodivision_check);
    const long a = intval;
    double b = __Pyx_PyFloat_AS_DOUBLE(float_val);
        double result;
        
        result = ((double)a) - (double)b;
        return PyFloat_FromDouble(result);
}
static CYTHON_INLINE PyObject* __Pyx_PyLong_SubtractCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op2))) {
        return __Pyx_Unpacked___Pyx_PyLong_SubtractCObj(op1, op2, intval, inplace, zerodivision_check);
    }
    #endif
    if (PyFloat_CheckExact(op2)) {
        return __Pyx_Float___Pyx_PyLong_SubtractCObj(op2, intval, zerodivision_check);
    }
    return __Pyx_Fallback___Pyx_PyLong_SubtractCObj(op1, op2, inplace);
}
#endif

/* PyObjectVectorCallKwBuilder */
#if CYTHON_VECTORCALL
static int __Pyx_VectorcallBuilder_AddArg(PyObject *key, PyObject *value, PyObject *builder, PyObject **args, int n) {
    (void)__Pyx_PyObject_FastCallDict;
    if (__Pyx_PyTuple_SET_ITEM(builder, n, key) != (0)) return -1;
    Py_INCREF(key);
    args[n] = value;
    return 0;
}
CYTHON_UNUSED static int __Pyx_VectorcallBuilder_AddArg_Check(PyObject *key, PyObject *value, PyObject *builder, PyObject **args, int n) {
    (void)__Pyx_VectorcallBuilder_AddArgStr;
    if (unlikely(!PyUnicode_Check(key))) {
        PyErr_SetString(PyExc_TypeError, "keywords must be strings");
        return -1;
    }
    return __Pyx_VectorcallBuilder_AddArg(key, value, builder, args, n);
}
static int __Pyx_VectorcallBuilder_AddArgStr(const char *key, PyObject *value, PyObject *builder, PyObject **args, int n) {
    PyObject *pyKey = PyUnicode_FromString(key);
    if (!pyKey) return -1;
    return __Pyx_VectorcallBuilder_AddArg(pyKey, value, builder, args, n);
}
#else // CYTHON_VECTORCALL
CYTHON_UNUSED static int __Pyx_VectorcallBuilder_AddArg_Check(PyObject *key, PyObject *value, PyObject *builder, CYTHON_UNUSED PyObject **args, CYTHON_UNUSED int n) {
    if (unlikely(!PyUnicode_Check(key))) {
        PyErr_SetString(PyExc_TypeError, "keywords must be strings");
        return -1;
    }
    return PyDict_SetItem(builder, key, value);
}
#endif

/* PyObjectFastCallMethod */
#if !CYTHON_VECTORCALL || PY_VERSION_HEX < 0x03090000
static PyObject *__Pyx_PyObject_FastCallMethod(PyObject *name, PyObject *const *args, size_t nargsf) {
    PyObject *result;
    PyObject *attr = PyObject_GetAttr(args[0], name);
    if (unlikely(!attr))
        return NULL;
    result = __Pyx_PyObject_FastCall(attr, args+1, nargsf - 1);
    Py_DECREF(attr);
    return result;
}
#endif

/* RaiseClosureNameError */
static void __Pyx_RaiseClosureNameError(const char *varname) {
    PyErr_Format(PyExc_NameError, "free variable '%s' referenced before assignment in enclosing scope", varname);
}

/* PyMethodNew (used by CythonFunctionShared) */
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) {
    PyObject *result;
    CYTHON_UNUSED_VAR(typ);
    if (!self)
        return __Pyx_NewRef(func);
    #if __PYX_LIMITED_VERSION_HEX >= 0x030C0000
    {
        PyObject *args[] = {func, self};
        result = PyObject_Vectorcall(__pyx_mstate_global->__Pyx_CachedMethodType, args, 2, NULL);
    }
    #else
    result = PyObject_CallFunctionObjArgs(__pyx_mstate_global->__Pyx_CachedMethodType, func, self, NULL);
    #endif
    return result;
}
#else
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) {
    CYTHON_UNUSED_VAR(typ);
    if (!self)
        return __Pyx_NewRef(func);
    return PyMethod_New(func, self);
}
#endif

/* PyVectorcallFastCallDict (used by CythonFunctionShared) */
#if CYTHON_METH_FASTCALL && CYTHON_VECTORCALL
static PyObject *__Pyx_PyVectorcall_FastCallDict_kw(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw)
{
    PyObject *res = NULL;
    PyObject *kwnames;
    PyObject **newargs;
    PyObject **kwvalues;
    Py_ssize_t i;
    #if CYTHON_AVOID_BORROWED_REFS
    PyObject *pos;
    #else
    Py_ssize_t pos;
    #endif
    size_t j;
    PyObject *key, *value;
    unsigned long keys_are_strings;
    #if !CYTHON_ASSUME_SAFE_SIZE
    Py_ssize_t nkw = PyDict_Size(kw);
    if (unlikely(nkw == -1)) return NULL;
    #else
    Py_ssize_t nkw = PyDict_GET_SIZE(kw);
    #endif
    newargs = (PyObject **)PyMem_Malloc((nargs + (size_t)nkw) * sizeof(args[0]));
    if (unlikely(newargs == NULL)) {
        PyErr_NoMemory();
        return NULL;
    }
    for (j = 0; j < nargs; j++) newargs[j] = args[j];
    kwnames = PyTuple_New(nkw);
    if (unlikely(kwnames == NULL)) {
        PyMem_Free(newargs);
        return NULL;
    }
    kwvalues = newargs + nargs;
    pos = 0;
    i = 0;
    keys_are_strings = Py_TPFLAGS_UNICODE_SUBCLASS;
    while (__Pyx_PyDict_NextRef(kw, &pos, &key, &value)) {
        keys_are_strings &=
        #if CYTHON_COMPILING_IN_LIMITED_API
            PyType_GetFlags(Py_TYPE(key));
        #else
            Py_TYPE(key)->tp_flags;
        #endif
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(PyTuple_SetItem(kwnames, i, key) < 0)) goto cleanup;
        #else
        PyTuple_SET_ITEM(kwnames, i, key);
        #endif
        kwvalues[i] = value;
        i++;
    }
    if (unlikely(!keys_are_strings)) {
        PyErr_SetString(PyExc_TypeError, "keywords must be strings");
        goto cleanup;
    }
    res = vc(func, newargs, nargs, kwnames);
cleanup:
    #if CYTHON_AVOID_BORROWED_REFS
    Py_DECREF(pos);
    #endif
    Py_DECREF(kwnames);
    for (i = 0; i < nkw; i++)
        Py_DECREF(kwvalues[i]);
    PyMem_Free(newargs);
    return res;
}
static CYTHON_INLINE PyObject *__Pyx_PyVectorcall_FastCallDict(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw)
{
    Py_ssize_t kw_size =
        likely(kw == NULL) ?
        0 :
#if !CYTHON_ASSUME_SAFE_SIZE
        PyDict_Size(kw);
#else
        PyDict_GET_SIZE(kw);
#endif
    if (kw_size == 0) {
        return vc(func, args, nargs, NULL);
    }
#if !CYTHON_ASSUME_SAFE_SIZE
    else if (unlikely(kw_size == -1)) {
        return NULL;
    }
#endif
    return __Pyx_PyVectorcall_FastCallDict_kw(func, vc, args, nargs, kw);
}
#endif

/* CythonFunctionShared (used by CythonFunction) */
#if CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunctionNoMethod(PyObject *func, void (*cfunc)(void)) {
    if (__Pyx_CyFunction_Check(func)) {
        return PyCFunction_GetFunction(((__pyx_CyFunctionObject*)func)->func) == (PyCFunction) cfunc;
    } else if (PyCFunction_Check(func)) {
        return PyCFunction_GetFunction(func) == (PyCFunction) cfunc;
    }
    return 0;
}
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void)) {
    if ((PyObject*)Py_TYPE(func) == __pyx_mstate_global->__Pyx_CachedMethodType) {
        int result;
        PyObject *newFunc = PyObject_GetAttr(func, __pyx_mstate_global->__pyx_n_u_func);
        if (unlikely(!newFunc)) {
            PyErr_Clear(); // It's only an optimization, so don't throw an error
            return 0;
        }
        result = __Pyx__IsSameCyOrCFunctionNoMethod(newFunc, cfunc);
        Py_DECREF(newFunc);
        return result;
    }
    return __Pyx__IsSameCyOrCFunctionNoMethod(func, cfunc);
}
#else
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void)) {
    if (PyMethod_Check(func)) {
        func = PyMethod_GET_FUNCTION(func);
    }
    return __Pyx_CyOrPyCFunction_Check(func) && __Pyx_CyOrPyCFunction_GET_FUNCTION(func) == (PyCFunction) cfunc;
}
#endif
static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj) {
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    __Pyx_Py_XDECREF_SET(
        __Pyx_CyFunction_GetClassObj(f),
            ((classobj) ? __Pyx_NewRef(classobj) : NULL));
#else
    __Pyx_Py_XDECREF_SET(
        ((PyCMethodObject *) (f))->mm_class,
        (PyTypeObject*)((classobj) ? __Pyx_NewRef(classobj) : NULL));
#endif
}
static PyObject *
__Pyx_CyFunction_get_doc_locked(__pyx_CyFunctionObject *op)
{
    if (unlikely(op->func_doc == NULL)) {
#if CYTHON_COMPILING_IN_LIMITED_API
        op->func_doc = PyObject_GetAttrString(op->func, "__doc__");
        if (unlikely(!op->func_doc)) return NULL;
#else
        if (((PyCFunctionObject*)op)->m_ml->ml_doc) {
            op->func_doc = PyUnicode_FromString(((PyCFunctionObject*)op)->m_ml->ml_doc);
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
#endif
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, void *closure) {
    PyObject *result;
    CYTHON_UNUSED_VAR(closure);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_doc_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->func_doc, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name_locked(__pyx_CyFunctionObject *op)
{
    if (unlikely(op->func_name == NULL)) {
#if CYTHON_COMPILING_IN_LIMITED_API
        op->func_name = PyObject_GetAttrString(op->func, "__name__");
#else
        op->func_name = PyUnicode_InternFromString(((PyCFunctionObject*)op)->m_ml->ml_name);
#endif
        if (unlikely(op->func_name == NULL))
            return NULL;
    }
    Py_INCREF(op->func_name);
    return op->func_name;
}
static PyObject *
__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op, void *context)
{
    PyObject *result = NULL;
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_name_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->func_name, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    PyObject *result;
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    Py_INCREF(op->func_qualname);
    result = op->func_qualname;
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->func_qualname, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
static PyObject *
__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(op->func_dict == NULL)) {
        op->func_dict = PyDict_New();
        if (unlikely(op->func_dict == NULL))
            return NULL;
    }
    Py_INCREF(op->func_dict);
    return op->func_dict;
}
#endif
static PyObject *
__Pyx_CyFunction_get_globals(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(op);
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op, void *context)
{
    PyObject* result = (op->func_code) ? op->func_code : Py_None;
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op) {
    int result = 0;
    PyObject *res = op->defaults_getter((PyObject *) op);
    if (unlikely(!res))
        return -1;
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);
    Py_INCREF(op->defaults_tuple);
    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);
    Py_INCREF(op->defaults_kwdict);
    #else
    op->defaults_tuple = __Pyx_PySequence_ITEM(res, 0);
    if (unlikely(!op->defaults_tuple)) result = -1;
    else {
        op->defaults_kwdict = __Pyx_PySequence_ITEM(res, 1);
        if (unlikely(!op->defaults_kwdict)) result = -1;
    }
    #endif
    Py_DECREF(res);
    return result;
}
static int
__Pyx_CyFunction_set_defaults(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value) {
        value = Py_None;
    } else if (unlikely(value != Py_None && !PyTuple_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__defaults__ must be set to a tuple object");
        return -1;
    }
    PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__defaults__ will not "
                 "currently affect the values used in function calls", 1);
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->defaults_tuple, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults_locked(__pyx_CyFunctionObject *op) {
    PyObject* result = op->defaults_tuple;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (unlikely(__Pyx_CyFunction_init_defaults(op) < 0)) return NULL;
            result = op->defaults_tuple;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result = NULL;
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_defaults_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value) {
        value = Py_None;
    } else if (unlikely(value != Py_None && !PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__kwdefaults__ must be set to a dict object");
        return -1;
    }
    PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__kwdefaults__ will not "
                 "currently affect the values used in function calls", 1);
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->defaults_kwdict, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults_locked(__pyx_CyFunctionObject *op) {
    PyObject* result = op->defaults_kwdict;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (unlikely(__Pyx_CyFunction_init_defaults(op) < 0)) return NULL;
            result = op->defaults_kwdict;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result;
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_kwdefaults_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_annotations(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value || value == Py_None) {
        value = NULL;
    } else if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__annotations__ must be set to a dict object");
        return -1;
    }
    Py_XINCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->func_annotations, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_annotations_locked(__pyx_CyFunctionObject *op) {
    PyObject* result = op->func_annotations;
    if (unlikely(!result)) {
        result = PyDict_New();
        if (unlikely(!result)) return NULL;
        op->func_annotations = result;
    }
    Py_INCREF(result);
    return result;
}
static PyObject *
__Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op, void *context) {
    PyObject *result;
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_annotations_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static PyObject *
__Pyx_CyFunction_get_is_coroutine_value(__pyx_CyFunctionObject *op) {
    int is_coroutine = op->flags & __Pyx_CYFUNCTION_COROUTINE;
    if (is_coroutine) {
        PyObject *is_coroutine_value, *module, *fromlist, *marker = __pyx_mstate_global->__pyx_n_u_is_coroutine;
        fromlist = PyList_New(1);
        if (unlikely(!fromlist)) return NULL;
        Py_INCREF(marker);
#if CYTHON_ASSUME_SAFE_MACROS
        PyList_SET_ITEM(fromlist, 0, marker);
#else
        if (unlikely(PyList_SetItem(fromlist, 0, marker) < 0)) {
            Py_DECREF(marker);
            Py_DECREF(fromlist);
            return NULL;
        }
#endif
        module = PyImport_ImportModuleLevelObject(__pyx_mstate_global->__pyx_n_u_asyncio_coroutines, NULL, NULL, fromlist, 0);
        Py_DECREF(fromlist);
        if (unlikely(!module)) goto ignore;
        is_coroutine_value = __Pyx_PyObject_GetAttrStr(module, marker);
        Py_DECREF(module);
        if (likely(is_coroutine_value)) {
            return is_coroutine_value;
        }
ignore:
        PyErr_Clear();
    }
    return __Pyx_PyBool_FromLong(is_coroutine);
}
static PyObject *
__Pyx_CyFunction_get_is_coroutine(__pyx_CyFunctionObject *op, void *context) {
    PyObject *result;
    CYTHON_UNUSED_VAR(context);
    if (op->func_is_coroutine) {
        return __Pyx_NewRef(op->func_is_coroutine);
    }
    result = __Pyx_CyFunction_get_is_coroutine_value(op);
    if (unlikely(!result))
        return NULL;
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    if (op->func_is_coroutine) {
        Py_DECREF(result);
        result = __Pyx_NewRef(op->func_is_coroutine);
    } else {
        op->func_is_coroutine = __Pyx_NewRef(result);
    }
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static void __Pyx_CyFunction_raise_argument_count_error(__pyx_CyFunctionObject *func, const char* message, Py_ssize_t size) {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *py_name = __Pyx_CyFunction_get_name(func, NULL);
    if (!py_name) return;
    PyErr_Format(PyExc_TypeError,
        "%.200S() %s (%" CYTHON_FORMAT_SSIZE_T "d given)",
        py_name, message, size);
    Py_DECREF(py_name);
#else
    const char* name = ((PyCFunctionObject*)func)->m_ml->ml_name;
    PyErr_Format(PyExc_TypeError,
        "%.200s() %s (%" CYTHON_FORMAT_SSIZE_T "d given)",
        name, message, size);
#endif
}
static void __Pyx_CyFunction_raise_type_error(__pyx_CyFunctionObject *func, const char* message) {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *py_name = __Pyx_CyFunction_get_name(func, NULL);
    if (!py_name) return;
    PyErr_Format(PyExc_TypeError,
        "%.200S() %s",
        py_name, message);
    Py_DECREF(py_name);
#else
    const char* name = ((PyCFunctionObject*)func)->m_ml->ml_name;
    PyErr_Format(PyExc_TypeError,
        "%.200s() %s",
        name, message);
#endif
}
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *
__Pyx_CyFunction_get_module(__pyx_CyFunctionObject *op, void *context) {
    CYTHON_UNUSED_VAR(context);
    return PyObject_GetAttrString(op->func, "__module__");
}
static int
__Pyx_CyFunction_set_module(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    return PyObject_SetAttrString(op->func, "__module__", value);
}
#endif
static PyGetSetDef __pyx_CyFunction_getsets[] = {
    {"func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {"__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {"func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {"__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {"__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
    {"func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)PyObject_GenericSetDict, 0, 0},
    {"__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)PyObject_GenericSetDict, 0, 0},
#else
    {"func_dict", (getter)PyObject_GenericGetDict, (setter)PyObject_GenericSetDict, 0, 0},
    {"__dict__", (getter)PyObject_GenericGetDict, (setter)PyObject_GenericSetDict, 0, 0},
#endif
    {"func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {"__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {"func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {"__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {"func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {"__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {"func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {"__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {"__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
    {"__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
    {"_is_coroutine", (getter)__Pyx_CyFunction_get_is_coroutine, 0, 0, 0},
#if CYTHON_COMPILING_IN_LIMITED_API
    {"__module__", (getter)__Pyx_CyFunction_get_module, (setter)__Pyx_CyFunction_set_module, 0, 0},
#endif
    {0, 0, 0, 0, 0}
};
static PyMemberDef __pyx_CyFunction_members[] = {
#if !CYTHON_COMPILING_IN_LIMITED_API
    {"__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), 0, 0},
#endif
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    {"__dictoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_dict), READONLY, 0},
#endif
#if CYTHON_METH_FASTCALL
#if CYTHON_COMPILING_IN_LIMITED_API
    {"__vectorcalloffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_vectorcall), READONLY, 0},
#else
    {"__vectorcalloffset__", T_PYSSIZET, offsetof(PyCFunctionObject, vectorcall), READONLY, 0},
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
    {"__weaklistoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_weakreflist), READONLY, 0},
#else
    {"__weaklistoffset__", T_PYSSIZET, offsetof(PyCFunctionObject, m_weakreflist), READONLY, 0},
#endif
#endif
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, PyObject *args)
{
    PyObject *result = NULL;
    CYTHON_UNUSED_VAR(args);
    __Pyx_BEGIN_CRITICAL_SECTION(m);
    Py_INCREF(m->func_qualname);
    result = m->func_qualname;
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
#if CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
#else
#define __Pyx_CyFunction_weakreflist(cyfunc) (((PyCFunctionObject*)cyfunc)->m_weakreflist)
#endif
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject *op, PyMethodDef *ml, int flags, PyObject* qualname,
                                       PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
#if !CYTHON_COMPILING_IN_LIMITED_API
    PyCFunctionObject *cf = (PyCFunctionObject*) op;
#endif
    if (unlikely(op == NULL))
        return NULL;
#if CYTHON_COMPILING_IN_LIMITED_API
    op->func = PyCFunction_NewEx(ml, (PyObject*)op, module);
    if (unlikely(!op->func)) return NULL;
#endif
    op->flags = flags;
    __Pyx_CyFunction_weakreflist(op) = NULL;
#if !CYTHON_COMPILING_IN_LIMITED_API
    cf->m_ml = ml;
    cf->m_self = (PyObject *) op;
#endif
    Py_XINCREF(closure);
    op->func_closure = closure;
#if !CYTHON_COMPILING_IN_LIMITED_API
    Py_XINCREF(module);
    cf->m_module = module;
#endif
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    op->func_dict = NULL;
#endif
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    op->func_classobj = NULL;
#else
    ((PyCMethodObject*)op)->mm_class = NULL;
#endif
    op->func_globals = globals;
    Py_INCREF(op->func_globals);
    Py_XINCREF(code);
    op->func_code = code;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_kwdict = NULL;
    op->defaults_getter = NULL;
    op->func_annotations = NULL;
    op->func_is_coroutine = NULL;
#if CYTHON_METH_FASTCALL
    switch (ml->ml_flags & (METH_VARARGS | METH_FASTCALL | METH_NOARGS | METH_O | METH_KEYWORDS | METH_METHOD)) {
    case METH_NOARGS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_NOARGS;
        break;
    case METH_O:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_O;
        break;
    case METH_METHOD | METH_FASTCALL | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD;
        break;
    case METH_FASTCALL | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS;
        break;
    case METH_VARARGS | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = NULL;
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
        Py_DECREF(op);
        return NULL;
    }
#endif
    return (PyObject *) op;
}
static int
__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
#if CYTHON_COMPILING_IN_LIMITED_API
    Py_CLEAR(m->func);
#else
    Py_CLEAR(((PyCFunctionObject*)m)->m_module);
#endif
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    Py_CLEAR(m->func_dict);
#elif PY_VERSION_HEX < 0x030d0000
    _PyObject_ClearManagedDict((PyObject*)m);
#else
    PyObject_ClearManagedDict((PyObject*)m);
#endif
    Py_CLEAR(m->func_name);
    Py_CLEAR(m->func_qualname);
    Py_CLEAR(m->func_doc);
    Py_CLEAR(m->func_globals);
    Py_CLEAR(m->func_code);
#if !CYTHON_COMPILING_IN_LIMITED_API
#if PY_VERSION_HEX < 0x030900B1
    Py_CLEAR(__Pyx_CyFunction_GetClassObj(m));
#else
    {
        PyObject *cls = (PyObject*) ((PyCMethodObject *) (m))->mm_class;
        ((PyCMethodObject *) (m))->mm_class = NULL;
        Py_XDECREF(cls);
    }
#endif
#endif
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
    Py_CLEAR(m->func_is_coroutine);
    Py_CLEAR(m->defaults);
    return 0;
}
static void __Pyx__CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    if (__Pyx_CyFunction_weakreflist(m) != NULL)
        PyObject_ClearWeakRefs((PyObject *) m);
    __Pyx_CyFunction_clear(m);
    __Pyx_PyHeapTypeObject_GC_Del(m);
}
static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    PyObject_GC_UnTrack(m);
    __Pyx__CyFunction_dealloc(m);
}
static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg)
{
    {
        int e = __Pyx_call_type_traverse((PyObject*)m, 1, visit, arg);
        if (e) return e;
    }
    Py_VISIT(m->func_closure);
#if CYTHON_COMPILING_IN_LIMITED_API
    Py_VISIT(m->func);
#else
    Py_VISIT(((PyCFunctionObject*)m)->m_module);
#endif
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    Py_VISIT(m->func_dict);
#else
    {
        int e =
#if PY_VERSION_HEX < 0x030d0000
            _PyObject_VisitManagedDict
#else
            PyObject_VisitManagedDict
#endif
                ((PyObject*)m, visit, arg);
        if (e != 0) return e;
    }
#endif
    __Pyx_VISIT_CONST(m->func_name);
    __Pyx_VISIT_CONST(m->func_qualname);
    Py_VISIT(m->func_doc);
    Py_VISIT(m->func_globals);
    __Pyx_VISIT_CONST(m->func_code);
#if !CYTHON_COMPILING_IN_LIMITED_API
    Py_VISIT(__Pyx_CyFunction_GetClassObj(m));
#endif
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    Py_VISIT(m->func_is_coroutine);
    Py_VISIT(m->defaults);
    return 0;
}
static PyObject*
__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
{
    PyObject *repr;
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    repr = PyUnicode_FromFormat("<cyfunction %U at %p>",
                                op->func_qualname, (void *)op);
    __Pyx_END_CRITICAL_SECTION();
    return repr;
}
static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *f = ((__pyx_CyFunctionObject*)func)->func;
    PyCFunction meth;
    int flags;
    meth = PyCFunction_GetFunction(f);
    if (unlikely(!meth)) return NULL;
    flags = PyCFunction_GetFlags(f);
    if (unlikely(flags < 0)) return NULL;
#else
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = f->m_ml->ml_meth;
    int flags = f->m_ml->ml_flags;
#endif
    Py_ssize_t size;
    switch (flags & (METH_VARARGS | METH_KEYWORDS | METH_NOARGS | METH_O)) {
    case METH_VARARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0))
            return (*meth)(self, arg);
        break;
    case METH_VARARGS | METH_KEYWORDS:
        return (*(PyCFunctionWithKeywords)(void(*)(void))meth)(self, arg, kw);
    case METH_NOARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
#if CYTHON_ASSUME_SAFE_SIZE
            size = PyTuple_GET_SIZE(arg);
#else
            size = PyTuple_Size(arg);
            if (unlikely(size < 0)) return NULL;
#endif
            if (likely(size == 0))
                return (*meth)(self, NULL);
            __Pyx_CyFunction_raise_argument_count_error(
                (__pyx_CyFunctionObject*)func,
                "takes no arguments", size);
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
#if CYTHON_ASSUME_SAFE_SIZE
            size = PyTuple_GET_SIZE(arg);
#else
            size = PyTuple_Size(arg);
            if (unlikely(size < 0)) return NULL;
#endif
            if (likely(size == 1)) {
                PyObject *result, *arg0;
                #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                arg0 = PyTuple_GET_ITEM(arg, 0);
                #else
                arg0 = __Pyx_PySequence_ITEM(arg, 0); if (unlikely(!arg0)) return NULL;
                #endif
                result = (*meth)(self, arg0);
                #if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
                Py_DECREF(arg0);
                #endif
                return result;
            }
            __Pyx_CyFunction_raise_argument_count_error(
                (__pyx_CyFunctionObject*)func,
                "takes exactly one argument", size);
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
        return NULL;
    }
    __Pyx_CyFunction_raise_type_error(
        (__pyx_CyFunctionObject*)func, "takes no keyword arguments");
    return NULL;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *self, *result;
#if CYTHON_COMPILING_IN_LIMITED_API
    self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)func)->func);
    if (unlikely(!self) && PyErr_Occurred()) return NULL;
#else
    self = ((PyCFunctionObject*)func)->m_self;
#endif
    result = __Pyx_CyFunction_CallMethod(func, self, arg, kw);
    return result;
}
static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {
    PyObject *result;
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
#if CYTHON_METH_FASTCALL && CYTHON_VECTORCALL
     __pyx_vectorcallfunc vc = __Pyx_CyFunction_func_vectorcall(cyfunc);
    if (vc) {
#if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
        return __Pyx_PyVectorcall_FastCallDict(func, vc, &PyTuple_GET_ITEM(args, 0), (size_t)PyTuple_GET_SIZE(args), kw);
#else
        (void) &__Pyx_PyVectorcall_FastCallDict;
        return PyVectorcall_Call(func, args, kw);
#endif
    }
#endif
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        Py_ssize_t argc;
        PyObject *new_args;
        PyObject *self;
#if CYTHON_ASSUME_SAFE_SIZE
        argc = PyTuple_GET_SIZE(args);
#else
        argc = PyTuple_Size(args);
        if (unlikely(argc < 0)) return NULL;
#endif
        new_args = PyTuple_GetSlice(args, 1, argc);
        if (unlikely(!new_args))
            return NULL;
        self = PyTuple_GetItem(args, 0);
        if (unlikely(!self)) {
            Py_DECREF(new_args);
            PyErr_Format(PyExc_TypeError,
                         "unbound method %.200S() needs an argument",
                         cyfunc->func_qualname);
            return NULL;
        }
        result = __Pyx_CyFunction_CallMethod(func, self, new_args, kw);
        Py_DECREF(new_args);
    } else {
        result = __Pyx_CyFunction_Call(func, args, kw);
    }
    return result;
}
#if CYTHON_METH_FASTCALL && CYTHON_VECTORCALL
static CYTHON_INLINE int __Pyx_CyFunction_Vectorcall_CheckArgs(__pyx_CyFunctionObject *cyfunc, Py_ssize_t nargs, PyObject *kwnames)
{
    int ret = 0;
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        if (unlikely(nargs < 1)) {
            __Pyx_CyFunction_raise_type_error(
                cyfunc, "needs an argument");
            return -1;
        }
        ret = 1;
    }
    if (unlikely(kwnames) && unlikely(__Pyx_PyTuple_GET_SIZE(kwnames))) {
        __Pyx_CyFunction_raise_type_error(
            cyfunc, "takes no keyword arguments");
        return -1;
    }
    return ret;
}
static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = PyCFunction_GetFunction(cyfunc->func);
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
#if CYTHON_COMPILING_IN_LIMITED_API
        self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)cyfunc)->func);
        if (unlikely(!self) && PyErr_Occurred()) return NULL;
#else
        self = ((PyCFunctionObject*)cyfunc)->m_self;
#endif
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 0)) {
        __Pyx_CyFunction_raise_argument_count_error(
            cyfunc, "takes no arguments", nargs);
        return NULL;
    }
    return meth(self, NULL);
}
static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = PyCFunction_GetFunction(cyfunc->func);
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
#if CYTHON_COMPILING_IN_LIMITED_API
        self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)cyfunc)->func);
        if (unlikely(!self) && PyErr_Occurred()) return NULL;
#else
        self = ((PyCFunctionObject*)cyfunc)->m_self;
#endif
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 1)) {
        __Pyx_CyFunction_raise_argument_count_error(
            cyfunc, "takes exactly one argument", nargs);
        return NULL;
    }
    return meth(self, args[0]);
}
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = PyCFunction_GetFunction(cyfunc->func);
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
#if CYTHON_COMPILING_IN_LIMITED_API
        self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)cyfunc)->func);
        if (unlikely(!self) && PyErr_Occurred()) return NULL;
#else
        self = ((PyCFunctionObject*)cyfunc)->m_self;
#endif
        break;
    default:
        return NULL;
    }
    return ((__Pyx_PyCFunctionFastWithKeywords)(void(*)(void))meth)(self, args, nargs, kwnames);
}
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyTypeObject *cls = (PyTypeObject *) __Pyx_CyFunction_GetClassObj(cyfunc);
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = PyCFunction_GetFunction(cyfunc->func);
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
#if CYTHON_COMPILING_IN_LIMITED_API
        self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)cyfunc)->func);
        if (unlikely(!self) && PyErr_Occurred()) return NULL;
#else
        self = ((PyCFunctionObject*)cyfunc)->m_self;
#endif
        break;
    default:
        return NULL;
    }
    #if PY_VERSION_HEX < 0x030e00A6
    size_t nargs_value = (size_t) nargs;
    #else
    Py_ssize_t nargs_value = nargs;
    #endif
    return ((__Pyx_PyCMethod)(void(*)(void))meth)(self, cls, args, nargs_value, kwnames);
}
#endif
static PyType_Slot __pyx_CyFunctionType_slots[] = {
    {Py_tp_dealloc, (void *)__Pyx_CyFunction_dealloc},
    {Py_tp_repr, (void *)__Pyx_CyFunction_repr},
    {Py_tp_call, (void *)__Pyx_CyFunction_CallAsMethod},
    {Py_tp_traverse, (void *)__Pyx_CyFunction_traverse},
    {Py_tp_clear, (void *)__Pyx_CyFunction_clear},
    {Py_tp_methods, (void *)__pyx_CyFunction_methods},
    {Py_tp_members, (void *)__pyx_CyFunction_members},
    {Py_tp_getset, (void *)__pyx_CyFunction_getsets},
    {Py_tp_descr_get, (void *)__Pyx_PyMethod_New},
    {0, 0},
};
static PyType_Spec __pyx_CyFunctionType_spec = {
    __PYX_TYPE_MODULE_PREFIX "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
#ifdef Py_TPFLAGS_METHOD_DESCRIPTOR
    Py_TPFLAGS_METHOD_DESCRIPTOR |
#endif
#if CYTHON_METH_FASTCALL
#if defined(Py_TPFLAGS_HAVE_VECTORCALL)
    Py_TPFLAGS_HAVE_VECTORCALL |
#elif defined(_Py_TPFLAGS_HAVE_VECTORCALL)
    _Py_TPFLAGS_HAVE_VECTORCALL |
#endif
#endif // CYTHON_METH_FASTCALL
#if PY_VERSION_HEX >= 0x030C0000 && !CYTHON_COMPILING_IN_LIMITED_API
    Py_TPFLAGS_MANAGED_DICT |
#endif
    Py_TPFLAGS_IMMUTABLETYPE | Py_TPFLAGS_DISALLOW_INSTANTIATION |
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
    __pyx_CyFunctionType_slots
};
static int __pyx_CyFunction_init(PyObject *module) {
    __pyx_mstatetype *mstate = __Pyx_PyModule_GetState(module);
    mstate->__pyx_CyFunctionType = __Pyx_FetchCommonTypeFromSpec(
        mstate->__pyx_CommonTypesMetaclassType, module, &__pyx_CyFunctionType_spec, NULL);
    if (unlikely(mstate->__pyx_CyFunctionType == NULL)) {
        return -1;
    }
    return 0;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_InitDefaults(PyObject *func, PyTypeObject *defaults_type) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults = PyObject_CallObject((PyObject*)defaults_type, NULL); // _PyObject_New(defaults_type);
    if (unlikely(!m->defaults))
        return NULL;
    return m->defaults;
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_tuple = tuple;
    Py_INCREF(tuple);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_kwdict = dict;
    Py_INCREF(dict);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->func_annotations = dict;
    Py_INCREF(dict);
}

/* CythonFunction */
static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml, int flags, PyObject* qualname,
                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    PyObject *op = __Pyx_CyFunction_Init(
        PyObject_GC_New(__pyx_CyFunctionObject, __pyx_mstate_global->__pyx_CyFunctionType),
        ml, flags, qualname, closure, module, globals, code
    );
    if (likely(op)) {
        PyObject_GC_Track(op);
    }
    return op;
}

/* pyfrozenset_new (used by PySetContains) */
static CYTHON_INLINE PyObject* __Pyx_PyFrozenSet_New(PyObject* it) {
    if (it) {
        PyObject* result;
#if CYTHON_COMPILING_IN_PYPY
        PyObject* args;
        args = PyTuple_Pack(1, it);
        if (unlikely(!args))
            return NULL;
        result = PyObject_Call((PyObject*)&PyFrozenSet_Type, args, NULL);
        Py_DECREF(args);
        return result;
#else
        if (PyFrozenSet_CheckExact(it)) {
            Py_INCREF(it);
            return it;
        }
        result = PyFrozenSet_New(it);
        if (unlikely(!result))
            return NULL;
        if ((__PYX_LIMITED_VERSION_HEX >= 0x030A0000)
#if CYTHON_COMPILING_IN_LIMITED_API
            || __Pyx_get_runtime_version() >= 0x030A0000
#endif
            )
            return result;
        {
            Py_ssize_t size = __Pyx_PySet_GET_SIZE(result);
            if (likely(size > 0))
                return result;
#if !CYTHON_ASSUME_SAFE_SIZE
            if (unlikely(size < 0)) {
                Py_DECREF(result);
                return NULL;
            }
#endif
        }
        Py_DECREF(result);
#endif
    }
    return __Pyx_PyObject_CallNoArg((PyObject*) &PyFrozenSet_Type);
}

/* PySetContains */
static int __Pyx_PySet_ContainsUnhashable(PyObject *set, PyObject *key) {
    int result = -1;
    if (PySet_Check(key) && PyErr_ExceptionMatches(PyExc_TypeError)) {
        PyObject *tmpkey;
        PyErr_Clear();
        tmpkey = __Pyx_PyFrozenSet_New(key);
        if (tmpkey != NULL) {
            result = PySet_Contains(set, tmpkey);
            Py_DECREF(tmpkey);
        }
    }
    return result;
}
static CYTHON_INLINE int __Pyx_PySet_ContainsTF(PyObject* key, PyObject* set, int eq) {
    int result = PySet_Contains(set, key);
    if (unlikely(result < 0)) {
        result = __Pyx_PySet_ContainsUnhashable(set, key);
    }
    return unlikely(result < 0) ? result : (result == (eq == Py_EQ));
}

/* AllocateExtensionType */
static PyObject *__Pyx_AllocateExtensionType(PyTypeObject *t, int is_final) {
    if (is_final || likely(!__Pyx_PyType_HasFeature(t, Py_TPFLAGS_IS_ABSTRACT))) {
        allocfunc alloc_func = __Pyx_PyType_GetSlot(t, tp_alloc, allocfunc);
        return alloc_func(t, 0);
    } else {
        newfunc tp_new = __Pyx_PyType_TryGetSlot(&PyBaseObject_Type, tp_new, newfunc);
    #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
        if (!tp_new) {
            PyObject *new_str = PyUnicode_FromString("__new__");
            if (likely(new_str)) {
                PyObject *o = PyObject_CallMethodObjArgs((PyObject *)&PyBaseObject_Type, new_str, t, NULL);
                Py_DECREF(new_str);
                return o;
            } else
                return NULL;
        } else
    #endif
        return tp_new(t, __pyx_mstate_global->__pyx_empty_tuple, 0);
    }
}

/* PyObjectCallMethod0 (used by PyType_Ready) */
static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name) {
#if CYTHON_VECTORCALL && (__PYX_LIMITED_VERSION_HEX >= 0x030C0000 || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x03090000))
    PyObject *args[1] = {obj};
    (void) __Pyx_PyObject_CallOneArg;
    (void) __Pyx_PyObject_CallNoArg;
    return PyObject_VectorcallMethod(method_name, args, 1 | PY_VECTORCALL_ARGUMENTS_OFFSET, NULL);
#else
    PyObject *method = NULL, *result = NULL;
    int is_method = __Pyx_PyObject_GetMethod(obj, method_name, &method);
    if (likely(is_method)) {
        result = __Pyx_PyObject_CallOneArg(method, obj);
        Py_DECREF(method);
        return result;
    }
    if (unlikely(!method)) goto bad;
    result = __Pyx_PyObject_CallNoArg(method);
    Py_DECREF(method);
bad:
    return result;
#endif
}

/* ValidateBasesTuple (used by PyType_Ready) */
#if CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_USE_TYPE_SPECS
static int __Pyx_validate_bases_tuple(const char *type_name, Py_ssize_t dictoffset, PyObject *bases) {
    Py_ssize_t i, n;
#if CYTHON_ASSUME_SAFE_SIZE
    n = PyTuple_GET_SIZE(bases);
#else
    n = PyTuple_Size(bases);
    if (unlikely(n < 0)) return -1;
#endif
    for (i = 1; i < n; i++)
    {
        PyTypeObject *b;
#if CYTHON_AVOID_BORROWED_REFS
        PyObject *b0 = PySequence_GetItem(bases, i);
        if (!b0) return -1;
#elif CYTHON_ASSUME_SAFE_MACROS
        PyObject *b0 = PyTuple_GET_ITEM(bases, i);
#else
        PyObject *b0 = PyTuple_GetItem(bases, i);
        if (!b0) return -1;
#endif
        b = (PyTypeObject*) b0;
        if (!__Pyx_PyType_HasFeature(b, Py_TPFLAGS_HEAPTYPE))
        {
            __Pyx_TypeName b_name = __Pyx_PyType_GetFullyQualifiedName(b);
            PyErr_Format(PyExc_TypeError,
                "base class '" __Pyx_FMT_TYPENAME "' is not a heap type", b_name);
            __Pyx_DECREF_TypeName(b_name);
#if CYTHON_AVOID_BORROWED_REFS
            Py_DECREF(b0);
#endif
            return -1;
        }
        if (dictoffset == 0)
        {
            Py_ssize_t b_dictoffset = 0;
#if CYTHON_USE_TYPE_SLOTS
            b_dictoffset = b->tp_dictoffset;
#else
            PyObject *py_b_dictoffset = PyObject_GetAttrString((PyObject*)b, "__dictoffset__");
            if (!py_b_dictoffset) goto dictoffset_return;
            b_dictoffset = PyLong_AsSsize_t(py_b_dictoffset);
            Py_DECREF(py_b_dictoffset);
            if (b_dictoffset == -1 && PyErr_Occurred()) goto dictoffset_return;
#endif
            if (b_dictoffset) {
                {
                    __Pyx_TypeName b_name = __Pyx_PyType_GetFullyQualifiedName(b);
                    PyErr_Format(PyExc_TypeError,
                        "extension type '%.200s' has no __dict__ slot, "
                        "but base type '" __Pyx_FMT_TYPENAME "' has: "
                        "either add 'cdef dict __dict__' to the extension type "
                        "or add '__slots__ = [...]' to the base type",
                        type_name, b_name);
                    __Pyx_DECREF_TypeName(b_name);
                }
#if !CYTHON_USE_TYPE_SLOTS
              dictoffset_return:
#endif
#if CYTHON_AVOID_BORROWED_REFS
                Py_DECREF(b0);
#endif
                return -1;
            }
        }
#if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(b0);
#endif
    }
    return 0;
}
#endif

/* PyType_Ready */
CYTHON_UNUSED static int __Pyx_PyType_HasMultipleInheritance(PyTypeObject *t) {
    while (t) {
        PyObject *bases = __Pyx_PyType_GetSlot(t, tp_bases, PyObject*);
        if (bases) {
            return 1;
        }
        t = __Pyx_PyType_GetSlot(t, tp_base, PyTypeObject*);
    }
    return 0;
}
static int __Pyx_PyType_Ready(PyTypeObject *t) {
#if CYTHON_USE_TYPE_SPECS || !CYTHON_COMPILING_IN_CPYTHON || defined(PYSTON_MAJOR_VERSION)
    (void)__Pyx_PyObject_CallMethod0;
#if CYTHON_USE_TYPE_SPECS
    (void)__Pyx_validate_bases_tuple;
#endif
    return PyType_Ready(t);
#else
    int r;
    if (!__Pyx_PyType_HasMultipleInheritance(t)) {
        return PyType_Ready(t);
    }
    PyObject *bases = __Pyx_PyType_GetSlot(t, tp_bases, PyObject*);
    if (bases && unlikely(__Pyx_validate_bases_tuple(t->tp_name, t->tp_dictoffset, bases) == -1))
        return -1;
#if !defined(PYSTON_MAJOR_VERSION)
    {
        int gc_was_enabled;
    #if PY_VERSION_HEX >= 0x030A00b1
        gc_was_enabled = PyGC_Disable();
        (void)__Pyx_PyObject_CallMethod0;
    #else
        PyObject *ret, *py_status;
        PyObject *gc = NULL;
        #if (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM+0 >= 0x07030400) &&\
                !CYTHON_COMPILING_IN_GRAAL
        gc = PyImport_GetModule(__pyx_mstate_global->__pyx_kp_u_gc);
        #endif
        if (unlikely(!gc)) gc = PyImport_Import(__pyx_mstate_global->__pyx_kp_u_gc);
        if (unlikely(!gc)) return -1;
        py_status = __Pyx_PyObject_CallMethod0(gc, __pyx_mstate_global->__pyx_kp_u_isenabled);
        if (unlikely(!py_status)) {
            Py_DECREF(gc);
            return -1;
        }
        gc_was_enabled = __Pyx_PyObject_IsTrue(py_status);
        Py_DECREF(py_status);
        if (gc_was_enabled > 0) {
            ret = __Pyx_PyObject_CallMethod0(gc, __pyx_mstate_global->__pyx_kp_u_disable);
            if (unlikely(!ret)) {
                Py_DECREF(gc);
                return -1;
            }
            Py_DECREF(ret);
        } else if (unlikely(gc_was_enabled == -1)) {
            Py_DECREF(gc);
            return -1;
        }
    #endif
        t->tp_flags |= Py_TPFLAGS_HEAPTYPE;
#if PY_VERSION_HEX >= 0x030A0000
        t->tp_flags |= Py_TPFLAGS_IMMUTABLETYPE;
#endif
#else
        (void)__Pyx_PyObject_CallMethod0;
#endif
    r = PyType_Ready(t);
#if !defined(PYSTON_MAJOR_VERSION)
        t->tp_flags &= ~Py_TPFLAGS_HEAPTYPE;
    #if PY_VERSION_HEX >= 0x030A00b1
        if (gc_was_enabled)
            PyGC_Enable();
    #else
        if (gc_was_enabled) {
            PyObject *tp, *v, *tb;
            PyErr_Fetch(&tp, &v, &tb);
            ret = __Pyx_PyObject_CallMethod0(gc, __pyx_mstate_global->__pyx_kp_u_enable);
            if (likely(ret || r == -1)) {
                Py_XDECREF(ret);
                PyErr_Restore(tp, v, tb);
            } else {
                Py_XDECREF(tp);
                Py_XDECREF(v);
                Py_XDECREF(tb);
                r = -1;
            }
        }
        Py_DECREF(gc);
    #endif
    }
#endif
    return r;
#endif
}

/* HasAttr (used by ImportImpl) */
#if __PYX_LIMITED_VERSION_HEX < 0x030d0000
static CYTHON_INLINE int __Pyx_HasAttr(PyObject *o, PyObject *n) {
    PyObject *r;
    if (unlikely(!PyUnicode_Check(n))) {
        PyErr_SetString(PyExc_TypeError,
                        "hasattr(): attribute name must be string");
        return -1;
    }
    r = __Pyx_PyObject_GetAttrStrNoError(o, n);
    if (!r) {
        return (unlikely(PyErr_Occurred())) ? -1 : 0;
    } else {
        Py_DECREF(r);
        return 1;
    }
}
#endif

/* ImportImpl (used by Import) */
static int __Pyx__Import_GetModule(PyObject *qualname, PyObject **module) {
    PyObject *imported_module = PyImport_GetModule(qualname);
    if (unlikely(!imported_module)) {
        *module = NULL;
        if (PyErr_Occurred()) {
            return -1;
        }
        return 0;
    }
    *module = imported_module;
    return 1;
}
static int __Pyx__Import_Lookup(PyObject *qualname, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject **module) {
    PyObject *imported_module;
    PyObject *top_level_package_name;
    Py_ssize_t i;
    int status, module_found;
    Py_ssize_t dot_index;
    module_found = __Pyx__Import_GetModule(qualname, &imported_module);
    if (unlikely(!module_found || module_found == -1)) {
        *module = NULL;
        return module_found;
    }
    if (imported_names) {
        for (i = 0; i < len_imported_names; i++) {
            PyObject *imported_name = imported_names[i];
#if __PYX_LIMITED_VERSION_HEX < 0x030d0000
            int has_imported_attribute = PyObject_HasAttr(imported_module, imported_name);
#else
            int has_imported_attribute = PyObject_HasAttrWithError(imported_module, imported_name);
            if (unlikely(has_imported_attribute == -1)) goto error;
#endif
            if (!has_imported_attribute) {
                goto not_found;
            }
        }
        *module = imported_module;
        return 1;
    }
    dot_index = PyUnicode_FindChar(qualname, '.', 0, PY_SSIZE_T_MAX, 1);
    if (dot_index == -1) {
        *module = imported_module;
        return 1;
    }
    if (unlikely(dot_index == -2)) goto error;
    top_level_package_name = PyUnicode_Substring(qualname, 0, dot_index);
    if (unlikely(!top_level_package_name)) goto error;
    Py_DECREF(imported_module);
    status = __Pyx__Import_GetModule(top_level_package_name, module);
    Py_DECREF(top_level_package_name);
    return status;
error:
    Py_DECREF(imported_module);
    *module = NULL;
    return -1;
not_found:
    Py_DECREF(imported_module);
    *module = NULL;
    return 0;
}
static PyObject *__Pyx__Import(PyObject *name, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject *qualname, PyObject *moddict, int level) {
    PyObject *module = 0;
    PyObject *empty_dict = 0;
    PyObject *from_list = 0;
    int module_found;
    if (!qualname) {
        qualname = name;
    }
    module_found = __Pyx__Import_Lookup(qualname, imported_names, len_imported_names, &module);
    if (likely(module_found == 1)) {
        return module;
    } else if (unlikely(module_found == -1)) {
        return NULL;
    }
    empty_dict = PyDict_New();
    if (unlikely(!empty_dict))
        goto bad;
    if (imported_names) {
#if CYTHON_COMPILING_IN_CPYTHON
        from_list = __Pyx_PyList_FromArray(imported_names, len_imported_names);
        if (unlikely(!from_list))
            goto bad;
#else
        from_list = PyList_New(len_imported_names);
        if (unlikely(!from_list)) goto bad;
        for (Py_ssize_t i=0; i<len_imported_names; ++i) {
            if (PyList_SetItem(from_list, i, __Pyx_NewRef(imported_names[i])) < 0) goto bad;
        }
#endif
    }
    if (level == -1) {
        const char* package_sep = strchr(__Pyx_MODULE_NAME, '.');
        if (package_sep != (0)) {
            module = PyImport_ImportModuleLevelObject(
                name, moddict, empty_dict, from_list, 1);
            if (unlikely(!module)) {
                if (unlikely(!PyErr_ExceptionMatches(PyExc_ImportError)))
                    goto bad;
                PyErr_Clear();
            }
        }
        level = 0;
    }
    if (!module) {
        module = PyImport_ImportModuleLevelObject(
            name, moddict, empty_dict, from_list, level);
    }
bad:
    Py_XDECREF(from_list);
    Py_XDECREF(empty_dict);
    return module;
}

/* Import */
static PyObject *__Pyx_Import(PyObject *name, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject *qualname, int level) {
    return __Pyx__Import(name, imported_names, len_imported_names, qualname, __pyx_mstate_global->__pyx_d, level);
}

/* ImportFrom */
static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
        const char* module_name_str = 0;
        PyObject* module_name = 0;
        PyObject* module_dot = 0;
        PyObject* full_name = 0;
        PyErr_Clear();
        module_name_str = PyModule_GetName(module);
        if (unlikely(!module_name_str)) { goto modbad; }
        module_name = PyUnicode_FromString(module_name_str);
        if (unlikely(!module_name)) { goto modbad; }
        module_dot = PyUnicode_Concat(module_name, __pyx_mstate_global->__pyx_kp_u__2);
        if (unlikely(!module_dot)) { goto modbad; }
        full_name = PyUnicode_Concat(module_dot, name);
        if (unlikely(!full_name)) { goto modbad; }
        #if (CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM  < 0x07030400) ||\
                CYTHON_COMPILING_IN_GRAAL
        {
            PyObject *modules = PyImport_GetModuleDict();
            if (unlikely(!modules))
                goto modbad;
            value = PyObject_GetItem(modules, full_name);
        }
        #else
        value = PyImport_GetModule(full_name);
        #endif
      modbad:
        Py_XDECREF(full_name);
        Py_XDECREF(module_dot);
        Py_XDECREF(module_name);
    }
    if (unlikely(!value)) {
        PyErr_Format(PyExc_ImportError, "cannot import name %S", name);
    }
    return value;
}

/* ListPack */
static PyObject *__Pyx_PyList_Pack(Py_ssize_t n, ...) {
    va_list va;
    PyObject *l = PyList_New(n);
    va_start(va, n);
    if (unlikely(!l)) goto end;
    for (Py_ssize_t i=0; i<n; ++i) {
        PyObject *arg = va_arg(va, PyObject*);
        Py_INCREF(arg);
        if (__Pyx_PyList_SET_ITEM(l, i, arg) != (0)) {
            Py_CLEAR(l);
            goto end;
        }
    }
    end:
    va_end(va);
    return l;
}

/* CLineInTraceback (used by AddTraceback) */
#if CYTHON_CLINE_IN_TRACEBACK && CYTHON_CLINE_IN_TRACEBACK_RUNTIME
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
#define __Pyx_PyProbablyModule_GetDict(o) __Pyx_XNewRef(PyModule_GetDict(o))
#elif !CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
#define __Pyx_PyProbablyModule_GetDict(o) PyObject_GenericGetDict(o, NULL);
#else
PyObject* __Pyx_PyProbablyModule_GetDict(PyObject *o) {
    PyObject **dict_ptr = _PyObject_GetDictPtr(o);
    return dict_ptr ? __Pyx_XNewRef(*dict_ptr) : NULL;
}
#endif
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line) {
    PyObject *use_cline = NULL;
    PyObject *ptype, *pvalue, *ptraceback;
    PyObject *cython_runtime_dict;
    CYTHON_MAYBE_UNUSED_VAR(tstate);
    if (unlikely(!__pyx_mstate_global->__pyx_cython_runtime)) {
        return c_line;
    }
    __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
    cython_runtime_dict = __Pyx_PyProbablyModule_GetDict(__pyx_mstate_global->__pyx_cython_runtime);
    if (likely(cython_runtime_dict)) {
        __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
            use_cline, cython_runtime_dict,
            __Pyx_PyDict_SetDefault(cython_runtime_dict, __pyx_mstate_global->__pyx_n_u_cline_in_traceback, Py_False))
    }
    if (use_cline == NULL || use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
        c_line = 0;
    }
    Py_XDECREF(use_cline);
    Py_XDECREF(cython_runtime_dict);
    __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
    return c_line;
}
#endif

/* CodeObjectCache (used by AddTraceback) */
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
    int start = 0, mid = 0, end = count - 1;
    if (end >= 0 && code_line > entries[end].code_line) {
        return count;
    }
    while (start < end) {
        mid = start + (end - start) / 2;
        if (code_line < entries[mid].code_line) {
            end = mid;
        } else if (code_line > entries[mid].code_line) {
             start = mid + 1;
        } else {
            return mid;
        }
    }
    if (code_line <= entries[mid].code_line) {
        return mid;
    } else {
        return mid + 1;
    }
}
static __Pyx_CachedCodeObjectType *__pyx__find_code_object(struct __Pyx_CodeObjectCache *code_cache, int code_line) {
    __Pyx_CachedCodeObjectType* code_object;
    int pos;
    if (unlikely(!code_line) || unlikely(!code_cache->entries)) {
        return NULL;
    }
    pos = __pyx_bisect_code_objects(code_cache->entries, code_cache->count, code_line);
    if (unlikely(pos >= code_cache->count) || unlikely(code_cache->entries[pos].code_line != code_line)) {
        return NULL;
    }
    code_object = code_cache->entries[pos].code_object;
    Py_INCREF(code_object);
    return code_object;
}
static __Pyx_CachedCodeObjectType *__pyx_find_code_object(int code_line) {
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && !CYTHON_ATOMICS
    (void)__pyx__find_code_object;
    return NULL; // Most implementation should have atomics. But otherwise, don't make it thread-safe, just miss.
#else
    struct __Pyx_CodeObjectCache *code_cache = &__pyx_mstate_global->__pyx_code_cache;
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    __pyx_nonatomic_int_type old_count = __pyx_atomic_incr_acq_rel(&code_cache->accessor_count);
    if (old_count < 0) {
        __pyx_atomic_decr_acq_rel(&code_cache->accessor_count);
        return NULL;
    }
#endif
    __Pyx_CachedCodeObjectType *result = __pyx__find_code_object(code_cache, code_line);
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    __pyx_atomic_decr_acq_rel(&code_cache->accessor_count);
#endif
    return result;
#endif
}
static void __pyx__insert_code_object(struct __Pyx_CodeObjectCache *code_cache, int code_line, __Pyx_CachedCodeObjectType* code_object)
{
    int pos, i;
    __Pyx_CodeObjectCacheEntry* entries = code_cache->entries;
    if (unlikely(!code_line)) {
        return;
    }
    if (unlikely(!entries)) {
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
        if (likely(entries)) {
            code_cache->entries = entries;
            code_cache->max_count = 64;
            code_cache->count = 1;
            entries[0].code_line = code_line;
            entries[0].code_object = code_object;
            Py_INCREF(code_object);
        }
        return;
    }
    pos = __pyx_bisect_code_objects(code_cache->entries, code_cache->count, code_line);
    if ((pos < code_cache->count) && unlikely(code_cache->entries[pos].code_line == code_line)) {
        __Pyx_CachedCodeObjectType* tmp = entries[pos].code_object;
        entries[pos].code_object = code_object;
        Py_INCREF(code_object);
        Py_DECREF(tmp);
        return;
    }
    if (code_cache->count == code_cache->max_count) {
        int new_max = code_cache->max_count + 64;
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
            code_cache->entries, ((size_t)new_max) * sizeof(__Pyx_CodeObjectCacheEntry));
        if (unlikely(!entries)) {
            return;
        }
        code_cache->entries = entries;
        code_cache->max_count = new_max;
    }
    for (i=code_cache->count; i>pos; i--) {
        entries[i] = entries[i-1];
    }
    entries[pos].code_line = code_line;
    entries[pos].code_object = code_object;
    code_cache->count++;
    Py_INCREF(code_object);
}
static void __pyx_insert_code_object(int code_line, __Pyx_CachedCodeObjectType* code_object) {
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && !CYTHON_ATOMICS
    (void)__pyx__insert_code_object;
    return; // Most implementation should have atomics. But otherwise, don't make it thread-safe, just fail.
#else
    struct __Pyx_CodeObjectCache *code_cache = &__pyx_mstate_global->__pyx_code_cache;
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    __pyx_nonatomic_int_type expected = 0;
    if (!__pyx_atomic_int_cmp_exchange(&code_cache->accessor_count, &expected, INT_MIN)) {
        return;
    }
#endif
    __pyx__insert_code_object(code_cache, code_line, code_object);
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    __pyx_atomic_sub(&code_cache->accessor_count, INT_MIN);
#endif
#endif
}

/* AddTraceback */
#include "compile.h"
#include "frameobject.h"
#include "traceback.h"
#if PY_VERSION_HEX >= 0x030b00a6 && !CYTHON_COMPILING_IN_LIMITED_API && !defined(PYPY_VERSION)
  #ifndef Py_BUILD_CORE
    #define Py_BUILD_CORE 1
  #endif
  #include "internal/pycore_frame.h"
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__Pyx_PyCode_Replace_For_AddTraceback(PyObject *code, PyObject *scratch_dict,
                                                       PyObject *firstlineno, PyObject *name) {
    PyObject *replace = NULL;
    if (unlikely(PyDict_SetItemString(scratch_dict, "co_firstlineno", firstlineno))) return NULL;
    if (unlikely(PyDict_SetItemString(scratch_dict, "co_name", name))) return NULL;
    replace = PyObject_GetAttrString(code, "replace");
    if (likely(replace)) {
        PyObject *result = PyObject_Call(replace, __pyx_mstate_global->__pyx_empty_tuple, scratch_dict);
        Py_DECREF(replace);
        return result;
    }
    PyErr_Clear();
    return NULL;
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyObject *code_object = NULL, *py_py_line = NULL, *py_funcname = NULL, *dict = NULL;
    PyObject *replace = NULL, *getframe = NULL, *frame = NULL;
    PyObject *exc_type, *exc_value, *exc_traceback;
    int success = 0;
    if (c_line) {
        c_line = __Pyx_CLineForTraceback(__Pyx_PyThreadState_Current, c_line);
    }
    PyErr_Fetch(&exc_type, &exc_value, &exc_traceback);
    code_object = __pyx_find_code_object(c_line ? -c_line : py_line);
    if (!code_object) {
        code_object = Py_CompileString("_getframe()", filename, Py_eval_input);
        if (unlikely(!code_object)) goto bad;
        py_py_line = PyLong_FromLong(py_line);
        if (unlikely(!py_py_line)) goto bad;
        if (c_line) {
            py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        } else {
            py_funcname = PyUnicode_FromString(funcname);
        }
        if (unlikely(!py_funcname)) goto bad;
        dict = PyDict_New();
        if (unlikely(!dict)) goto bad;
        {
            PyObject *old_code_object = code_object;
            code_object = __Pyx_PyCode_Replace_For_AddTraceback(code_object, dict, py_py_line, py_funcname);
            Py_DECREF(old_code_object);
        }
        if (unlikely(!code_object)) goto bad;
        __pyx_insert_code_object(c_line ? -c_line : py_line, code_object);
    } else {
        dict = PyDict_New();
    }
    getframe = PySys_GetObject("_getframe");
    if (unlikely(!getframe)) goto bad;
    if (unlikely(PyDict_SetItemString(dict, "_getframe", getframe))) goto bad;
    frame = PyEval_EvalCode(code_object, dict, dict);
    if (unlikely(!frame) || frame == Py_None) goto bad;
    success = 1;
  bad:
    PyErr_Restore(exc_type, exc_value, exc_traceback);
    Py_XDECREF(code_object);
    Py_XDECREF(py_py_line);
    Py_XDECREF(py_funcname);
    Py_XDECREF(dict);
    Py_XDECREF(replace);
    if (success) {
        PyTraceBack_Here(
            (struct _frame*)frame);
    }
    Py_XDECREF(frame);
}
#else
static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
            const char *funcname, int c_line,
            int py_line, const char *filename) {
    PyCodeObject *py_code = NULL;
    PyObject *py_funcname = NULL;
    if (c_line) {
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        if (!py_funcname) goto bad;
        funcname = PyUnicode_AsUTF8(py_funcname);
        if (!funcname) goto bad;
    }
    py_code = PyCode_NewEmpty(filename, funcname, py_line);
    Py_XDECREF(py_funcname);
    return py_code;
bad:
    Py_XDECREF(py_funcname);
    return NULL;
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyFrameObject *py_frame = 0;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject *ptype, *pvalue, *ptraceback;
    if (c_line) {
        c_line = __Pyx_CLineForTraceback(tstate, c_line);
    }
    py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
    if (!py_code) {
        __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) {
            /* If the code object creation fails, then we should clear the
               fetched exception references and propagate the new exception */
            Py_XDECREF(ptype);
            Py_XDECREF(pvalue);
            Py_XDECREF(ptraceback);
            goto bad;
        }
        __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
        __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
    }
    py_frame = PyFrame_New(
        tstate,            /*PyThreadState *tstate,*/
        py_code,           /*PyCodeObject *code,*/
        __pyx_mstate_global->__pyx_d,    /*PyObject *globals,*/
        0                  /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}
#endif

/* Declarations */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return ::std::complex< double >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return x + y*(__pyx_t_double_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      __pyx_t_double_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

/* Arithmetic */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabs(b.real) >= fabs(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                double r = b.imag / b.real;
                double s = (double)(1.0) / (b.real + b.imag * r);
                return __pyx_t_double_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            double r = b.real / b.imag;
            double s = (double)(1.0) / (b.imag + b.real * r);
            return __pyx_t_double_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            double denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_double_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrt(z.real*z.real + z.imag*z.imag);
          #else
            return hypot(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
            __pyx_t_double_complex z;
            double r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    double denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        return __Pyx_c_prod_double(a, a);
                    case 3:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, a);
                    case 4:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if ((b.imag == 0) && (a.real >= 0)) {
                    z.real = pow(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2(0.0, -1.0);
                }
            } else {
                r = __Pyx_c_abs_double(a);
                theta = atan2(a.imag, a.real);
            }
            lnr = log(r);
            z_r = exp(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cos(z_theta);
            z.imag = z_r * sin(z_theta);
            return z;
        }
    #endif
#endif

/* FromPy */
static __pyx_t_double_complex __Pyx_PyComplex_As___pyx_t_double_complex(PyObject* o) {
#if CYTHON_COMPILING_IN_LIMITED_API
    double real=-1.0, imag=-1.0;
    real = PyComplex_RealAsDouble(o);
    if (unlikely(real == -1.0 && PyErr_Occurred())) goto end;
    imag = PyComplex_ImagAsDouble(o);
  end:
    return __pyx_t_double_complex_from_parts(
        (double)real, (double)imag
    );
#else
    Py_complex cval;
#if !CYTHON_COMPILING_IN_PYPY && !CYTHON_COMPILING_IN_GRAAL
    if (PyComplex_CheckExact(o))
        cval = ((PyComplexObject *)o)->cval;
    else
#endif
        cval = PyComplex_AsCComplex(o);
    return __pyx_t_double_complex_from_parts(
               (double)cval.real,
               (double)cval.imag);
#endif
}

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyLong_From_long(long value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const long neg_one = (long) -1, const_zero = (long) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(long) < sizeof(long)) {
            return PyLong_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#if !CYTHON_COMPILING_IN_PYPY
        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyLong_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        unsigned char *bytes = (unsigned char *)&value;
#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d00A4
        if (is_unsigned) {
            return PyLong_FromUnsignedNativeBytes(bytes, sizeof(value), -1);
        } else {
            return PyLong_FromNativeBytes(bytes, sizeof(value), -1);
        }
#elif !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030d0000
        int one = 1; int little = (int)*(unsigned char *)&one;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
#else
        int one = 1; int little = (int)*(unsigned char *)&one;
        PyObject *from_bytes, *result = NULL, *kwds = NULL;
        PyObject *py_bytes = NULL, *order_str = NULL;
        from_bytes = PyObject_GetAttrString((PyObject*)&PyLong_Type, "from_bytes");
        if (!from_bytes) return NULL;
        py_bytes = PyBytes_FromStringAndSize((char*)bytes, sizeof(long));
        if (!py_bytes) goto limited_bad;
        order_str = PyUnicode_FromString(little ? "little" : "big");
        if (!order_str) goto limited_bad;
        {
            PyObject *args[3+(CYTHON_VECTORCALL ? 1 : 0)] = { NULL, py_bytes, order_str };
            if (!is_unsigned) {
                kwds = __Pyx_MakeVectorcallBuilderKwds(1);
                if (!kwds) goto limited_bad;
                if (__Pyx_VectorcallBuilder_AddArgStr("signed", __Pyx_NewRef(Py_True), kwds, args+3, 0) < 0) goto limited_bad;
            }
            result = __Pyx_Object_Vectorcall_CallFromBuilder(from_bytes, args+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET, kwds);
        }
        limited_bad:
        Py_XDECREF(kwds);
        Py_XDECREF(order_str);
        Py_XDECREF(py_bytes);
        Py_XDECREF(from_bytes);
        return result;
#endif
    }
}

/* FormatTypeName */
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000
static __Pyx_TypeName
__Pyx_PyType_GetFullyQualifiedName(PyTypeObject* tp)
{
    PyObject *module = NULL, *name = NULL, *result = NULL;
    #if __PYX_LIMITED_VERSION_HEX < 0x030b0000
    name = __Pyx_PyObject_GetAttrStr((PyObject *)tp,
                                               __pyx_mstate_global->__pyx_n_u_qualname);
    #else
    name = PyType_GetQualName(tp);
    #endif
    if (unlikely(name == NULL) || unlikely(!PyUnicode_Check(name))) goto bad;
    module = __Pyx_PyObject_GetAttrStr((PyObject *)tp,
                                               __pyx_mstate_global->__pyx_n_u_module);
    if (unlikely(module == NULL) || unlikely(!PyUnicode_Check(module))) goto bad;
    if (PyUnicode_CompareWithASCIIString(module, "builtins") == 0) {
        result = name;
        name = NULL;
        goto done;
    }
    result = PyUnicode_FromFormat("%U.%U", module, name);
    if (unlikely(result == NULL)) goto bad;
  done:
    Py_XDECREF(name);
    Py_XDECREF(module);
    return result;
  bad:
    PyErr_Clear();
    if (name) {
        result = name;
        name = NULL;
    } else {
        result = __Pyx_NewRef(__pyx_mstate_global->__pyx_kp_u__3);
    }
    goto done;
}
#endif

/* CIntFromPyVerify (used by CIntFromPy) */
#define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
    {\
        func_type value = func_value;\
        if (sizeof(target_type) < sizeof(func_type)) {\
            if (unlikely(value != (func_type) (target_type) value)) {\
                func_type zero = 0;\
                if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
                    return (target_type) -1;\
                if (is_unsigned && unlikely(value < zero))\
                    goto raise_neg_overflow;\
                else\
                    goto raise_overflow;\
            }\
        }\
        return (target_type) value;\
    }

/* CIntFromPy */
static CYTHON_INLINE long __Pyx_PyLong_As_long(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const long neg_one = (long) -1, const_zero = (long) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (unlikely(!PyLong_Check(x))) {
        long val;
        PyObject *tmp = __Pyx_PyNumber_Long(x);
        if (!tmp) return (long) -1;
        val = __Pyx_PyLong_As_long(tmp);
        Py_DECREF(tmp);
        return val;
    }
    if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
        if (unlikely(__Pyx_PyLong_IsNeg(x))) {
            goto raise_neg_overflow;
        } else if (__Pyx_PyLong_IsCompact(x)) {
            __PYX_VERIFY_RETURN_INT(long, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
        } else {
            const digit* digits = __Pyx_PyLong_Digits(x);
            assert(__Pyx_PyLong_DigitCount(x) > 1);
            switch (__Pyx_PyLong_DigitCount(x)) {
                case 2:
                    if ((8 * sizeof(long) > 1 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(long) >= 2 * PyLong_SHIFT)) {
                            return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if ((8 * sizeof(long) > 2 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(long) >= 3 * PyLong_SHIFT)) {
                            return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if ((8 * sizeof(long) > 3 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(long) >= 4 * PyLong_SHIFT)) {
                            return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
            }
        }
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A7
        if (unlikely(Py_SIZE(x) < 0)) {
            goto raise_neg_overflow;
        }
#else
        {
            int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
            if (unlikely(result < 0))
                return (long) -1;
            if (unlikely(result == 1))
                goto raise_neg_overflow;
        }
#endif
        if ((sizeof(long) <= sizeof(unsigned long))) {
            __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
        } else if ((sizeof(long) <= sizeof(unsigned PY_LONG_LONG))) {
            __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
        }
    } else {
#if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsCompact(x)) {
            __PYX_VERIFY_RETURN_INT(long, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
        } else {
            const digit* digits = __Pyx_PyLong_Digits(x);
            assert(__Pyx_PyLong_DigitCount(x) > 1);
            switch (__Pyx_PyLong_SignedDigitCount(x)) {
                case -2:
                    if ((8 * sizeof(long) - 1 > 1 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) {
                            return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if ((8 * sizeof(long) > 1 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) {
                            return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(long) - 1 > 3 * PyLong_SHIFT)) {
                            return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if ((8 * sizeof(long) > 2 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(long) - 1 > 3 * PyLong_SHIFT)) {
                            return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if ((8 * sizeof(long) - 1 > 3 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(long) - 1 > 4 * PyLong_SHIFT)) {
                            return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if ((8 * sizeof(long) > 3 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(long) - 1 > 4 * PyLong_SHIFT)) {
                            return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
            }
        }
#endif
        if ((sizeof(long) <= sizeof(long))) {
            __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
        } else if ((sizeof(long) <= sizeof(PY_LONG_LONG))) {
            __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
        }
    }
    {
        long val;
        int ret = -1;
#if PY_VERSION_HEX >= 0x030d00A6 && !CYTHON_COMPILING_IN_LIMITED_API
        Py_ssize_t bytes_copied = PyLong_AsNativeBytes(
            x, &val, sizeof(val), Py_ASNATIVEBYTES_NATIVE_ENDIAN | (is_unsigned ? Py_ASNATIVEBYTES_UNSIGNED_BUFFER | Py_ASNATIVEBYTES_REJECT_NEGATIVE : 0));
        if (unlikely(bytes_copied == -1)) {
        } else if (unlikely(bytes_copied > (Py_ssize_t) sizeof(val))) {
            goto raise_overflow;
        } else {
            ret = 0;
        }
#elif PY_VERSION_HEX < 0x030d0000 && !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
        int one = 1; int is_little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&val;
        ret = _PyLong_AsByteArray((PyLongObject *)x,
                                    bytes, sizeof(val),
                                    is_little, !is_unsigned);
#else
        PyObject *v;
        PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
        int bits, remaining_bits, is_negative = 0;
        int chunk_size = (sizeof(long) < 8) ? 30 : 62;
        if (likely(PyLong_CheckExact(x))) {
            v = __Pyx_NewRef(x);
        } else {
            v = PyNumber_Long(x);
            if (unlikely(!v)) return (long) -1;
            assert(PyLong_CheckExact(v));
        }
        {
            int result = PyObject_RichCompareBool(v, Py_False, Py_LT);
            if (unlikely(result < 0)) {
                Py_DECREF(v);
                return (long) -1;
            }
            is_negative = result == 1;
        }
        if (is_unsigned && unlikely(is_negative)) {
            Py_DECREF(v);
            goto raise_neg_overflow;
        } else if (is_negative) {
            stepval = PyNumber_Invert(v);
            Py_DECREF(v);
            if (unlikely(!stepval))
                return (long) -1;
        } else {
            stepval = v;
        }
        v = NULL;
        val = (long) 0;
        mask = PyLong_FromLong((1L << chunk_size) - 1); if (unlikely(!mask)) goto done;
        shift = PyLong_FromLong(chunk_size); if (unlikely(!shift)) goto done;
        for (bits = 0; bits < (int) sizeof(long) * 8 - chunk_size; bits += chunk_size) {
            PyObject *tmp, *digit;
            long idigit;
            digit = PyNumber_And(stepval, mask);
            if (unlikely(!digit)) goto done;
            idigit = PyLong_AsLong(digit);
            Py_DECREF(digit);
            if (unlikely(idigit < 0)) goto done;
            val |= ((long) idigit) << bits;
            tmp = PyNumber_Rshift(stepval, shift);
            if (unlikely(!tmp)) goto done;
            Py_DECREF(stepval); stepval = tmp;
        }
        Py_DECREF(shift); shift = NULL;
        Py_DECREF(mask); mask = NULL;
        {
            long idigit = PyLong_AsLong(stepval);
            if (unlikely(idigit < 0)) goto done;
            remaining_bits = ((int) sizeof(long) * 8) - bits - (is_unsigned ? 0 : 1);
            if (unlikely(idigit >= (1L << remaining_bits)))
                goto raise_overflow;
            val |= ((long) idigit) << bits;
        }
        if (!is_unsigned) {
            if (unlikely(val & (((long) 1) << (sizeof(long) * 8 - 1))))
                goto raise_overflow;
            if (is_negative)
                val = ~val;
        }
        ret = 0;
    done:
        Py_XDECREF(shift);
        Py_XDECREF(mask);
        Py_XDECREF(stepval);
#endif
        if (unlikely(ret))
            return (long) -1;
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to long");
    return (long) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to long");
    return (long) -1;
}

/* CIntFromPy */
static CYTHON_INLINE int __Pyx_PyLong_As_int(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (unlikely(!PyLong_Check(x))) {
        int val;
        PyObject *tmp = __Pyx_PyNumber_Long(x);
        if (!tmp) return (int) -1;
        val = __Pyx_PyLong_As_int(tmp);
        Py_DECREF(tmp);
        return val;
    }
    if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
        if (unlikely(__Pyx_PyLong_IsNeg(x))) {
            goto raise_neg_overflow;
        } else if (__Pyx_PyLong_IsCompact(x)) {
            __PYX_VERIFY_RETURN_INT(int, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
        } else {
            const digit* digits = __Pyx_PyLong_Digits(x);
            assert(__Pyx_PyLong_DigitCount(x) > 1);
            switch (__Pyx_PyLong_DigitCount(x)) {
                case 2:
                    if ((8 * sizeof(int) > 1 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(int) >= 2 * PyLong_SHIFT)) {
                            return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if ((8 * sizeof(int) > 2 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(int) >= 3 * PyLong_SHIFT)) {
                            return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if ((8 * sizeof(int) > 3 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(int) >= 4 * PyLong_SHIFT)) {
                            return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
            }
        }
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A7
        if (unlikely(Py_SIZE(x) < 0)) {
            goto raise_neg_overflow;
        }
#else
        {
            int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
            if (unlikely(result < 0))
                return (int) -1;
            if (unlikely(result == 1))
                goto raise_neg_overflow;
        }
#endif
        if ((sizeof(int) <= sizeof(unsigned long))) {
            __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
        } else if ((sizeof(int) <= sizeof(unsigned PY_LONG_LONG))) {
            __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
        }
    } else {
#if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsCompact(x)) {
            __PYX_VERIFY_RETURN_INT(int, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
        } else {
            const digit* digits = __Pyx_PyLong_Digits(x);
            assert(__Pyx_PyLong_DigitCount(x) > 1);
            switch (__Pyx_PyLong_SignedDigitCount(x)) {
                case -2:
                    if ((8 * sizeof(int) - 1 > 1 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) {
                            return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if ((8 * sizeof(int) > 1 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) {
                            return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(int) - 1 > 3 * PyLong_SHIFT)) {
                            return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if ((8 * sizeof(int) > 2 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(int) - 1 > 3 * PyLong_SHIFT)) {
                            return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if ((8 * sizeof(int) - 1 > 3 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(int) - 1 > 4 * PyLong_SHIFT)) {
                            return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if ((8 * sizeof(int) > 3 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(int) - 1 > 4 * PyLong_SHIFT)) {
                            return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
            }
        }
#endif
        if ((sizeof(int) <= sizeof(long))) {
            __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
        } else if ((sizeof(int) <= sizeof(PY_LONG_LONG))) {
            __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
        }
    }
    {
        int val;
        int ret = -1;
#if PY_VERSION_HEX >= 0x030d00A6 && !CYTHON_COMPILING_IN_LIMITED_API
        Py_ssize_t bytes_copied = PyLong_AsNativeBytes(
            x, &val, sizeof(val), Py_ASNATIVEBYTES_NATIVE_ENDIAN | (is_unsigned ? Py_ASNATIVEBYTES_UNSIGNED_BUFFER | Py_ASNATIVEBYTES_REJECT_NEGATIVE : 0));
        if (unlikely(bytes_copied == -1)) {
        } else if (unlikely(bytes_copied > (Py_ssize_t) sizeof(val))) {
            goto raise_overflow;
        } else {
            ret = 0;
        }
#elif PY_VERSION_HEX < 0x030d0000 && !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
        int one = 1; int is_little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&val;
        ret = _PyLong_AsByteArray((PyLongObject *)x,
                                    bytes, sizeof(val),
                                    is_little, !is_unsigned);
#else
        PyObject *v;
        PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
        int bits, remaining_bits, is_negative = 0;
        int chunk_size = (sizeof(long) < 8) ? 30 : 62;
        if (likely(PyLong_CheckExact(x))) {
            v = __Pyx_NewRef(x);
        } else {
            v = PyNumber_Long(x);
            if (unlikely(!v)) return (int) -1;
            assert(PyLong_CheckExact(v));
        }
        {
            int result = PyObject_RichCompareBool(v, Py_False, Py_LT);
            if (unlikely(result < 0)) {
                Py_DECREF(v);
                return (int) -1;
            }
            is_negative = result == 1;
        }
        if (is_unsigned && unlikely(is_negative)) {
            Py_DECREF(v);
            goto raise_neg_overflow;
        } else if (is_negative) {
            stepval = PyNumber_Invert(v);
            Py_DECREF(v);
            if (unlikely(!stepval))
                return (int) -1;
        } else {
            stepval = v;
        }
        v = NULL;
        val = (int) 0;
        mask = PyLong_FromLong((1L << chunk_size) - 1); if (unlikely(!mask)) goto done;
        shift = PyLong_FromLong(chunk_size); if (unlikely(!shift)) goto done;
        for (bits = 0; bits < (int) sizeof(int) * 8 - chunk_size; bits += chunk_size) {
            PyObject *tmp, *digit;
            long idigit;
            digit = PyNumber_And(stepval, mask);
            if (unlikely(!digit)) goto done;
            idigit = PyLong_AsLong(digit);
            Py_DECREF(digit);
            if (unlikely(idigit < 0)) goto done;
            val |= ((int) idigit) << bits;
            tmp = PyNumber_Rshift(stepval, shift);
            if (unlikely(!tmp)) goto done;
            Py_DECREF(stepval); stepval = tmp;
        }
        Py_DECREF(shift); shift = NULL;
        Py_DECREF(mask); mask = NULL;
        {
            long idigit = PyLong_AsLong(stepval);
            if (unlikely(idigit < 0)) goto done;
            remaining_bits = ((int) sizeof(int) * 8) - bits - (is_unsigned ? 0 : 1);
            if (unlikely(idigit >= (1L << remaining_bits)))
                goto raise_overflow;
            val |= ((int) idigit) << bits;
        }
        if (!is_unsigned) {
            if (unlikely(val & (((int) 1) << (sizeof(int) * 8 - 1))))
                goto raise_overflow;
            if (is_negative)
                val = ~val;
        }
        ret = 0;
    done:
        Py_XDECREF(shift);
        Py_XDECREF(mask);
        Py_XDECREF(stepval);
#endif
        if (unlikely(ret))
            return (int) -1;
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to int");
    return (int) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to int");
    return (int) -1;
}

/* FastTypeChecks */
#if CYTHON_COMPILING_IN_CPYTHON
static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
    while (a) {
        a = __Pyx_PyType_GetSlot(a, tp_base, PyTypeObject*);
        if (a == b)
            return 1;
    }
    return b == &PyBaseObject_Type;
}
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
    PyObject *mro;
    if (a == b) return 1;
    mro = a->tp_mro;
    if (likely(mro)) {
        Py_ssize_t i, n;
        n = PyTuple_GET_SIZE(mro);
        for (i = 0; i < n; i++) {
            if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)
                return 1;
        }
        return 0;
    }
    return __Pyx_InBases(a, b);
}
static CYTHON_INLINE int __Pyx_IsAnySubtype2(PyTypeObject *cls, PyTypeObject *a, PyTypeObject *b) {
    PyObject *mro;
    if (cls == a || cls == b) return 1;
    mro = cls->tp_mro;
    if (likely(mro)) {
        Py_ssize_t i, n;
        n = PyTuple_GET_SIZE(mro);
        for (i = 0; i < n; i++) {
            PyObject *base = PyTuple_GET_ITEM(mro, i);
            if (base == (PyObject *)a || base == (PyObject *)b)
                return 1;
        }
        return 0;
    }
    return __Pyx_InBases(cls, a) || __Pyx_InBases(cls, b);
}
static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
    if (exc_type1) {
        return __Pyx_IsAnySubtype2((PyTypeObject*)err, (PyTypeObject*)exc_type1, (PyTypeObject*)exc_type2);
    } else {
        return __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
    }
}
static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    assert(PyExceptionClass_Check(exc_type));
    n = PyTuple_GET_SIZE(tuple);
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
    for (i=0; i<n; i++) {
        PyObject *t = PyTuple_GET_ITEM(tuple, i);
        if (likely(PyExceptionClass_Check(t))) {
            if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t)) return 1;
        } else {
        }
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
    if (likely(err == exc_type)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        if (likely(PyExceptionClass_Check(exc_type))) {
            return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
        } else if (likely(PyTuple_Check(exc_type))) {
            return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);
        } else {
        }
    }
    return PyErr_GivenExceptionMatches(err, exc_type);
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
    assert(PyExceptionClass_Check(exc_type1));
    assert(PyExceptionClass_Check(exc_type2));
    if (likely(err == exc_type1 || err == exc_type2)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
    }
    return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
}
#endif

/* GetRuntimeVersion */
#if __PYX_LIMITED_VERSION_HEX < 0x030b0000
void __Pyx_init_runtime_version(void) {
    if (__Pyx_cached_runtime_version == 0) {
        const char* rt_version = Py_GetVersion();
        unsigned long version = 0;
        unsigned long factor = 0x01000000UL;
        unsigned int digit = 0;
        int i = 0;
        while (factor) {
            while ('0' <= rt_version[i] && rt_version[i] <= '9') {
                digit = digit * 10 + (unsigned int) (rt_version[i] - '0');
                ++i;
            }
            version += factor * digit;
            if (rt_version[i] != '.')
                break;
            digit = 0;
            factor >>= 8;
            ++i;
        }
        __Pyx_cached_runtime_version = version;
    }
}
#endif
static unsigned long __Pyx_get_runtime_version(void) {
#if __PYX_LIMITED_VERSION_HEX >= 0x030b0000
    return Py_Version & ~0xFFUL;
#else
    return __Pyx_cached_runtime_version;
#endif
}

/* CheckBinaryVersion */
static int __Pyx_check_binary_version(unsigned long ct_version, unsigned long rt_version, int allow_newer) {
    const unsigned long MAJOR_MINOR = 0xFFFF0000UL;
    if ((rt_version & MAJOR_MINOR) == (ct_version & MAJOR_MINOR))
        return 0;
    if (likely(allow_newer && (rt_version & MAJOR_MINOR) > (ct_version & MAJOR_MINOR)))
        return 1;
    {
        char message[200];
        PyOS_snprintf(message, sizeof(message),
                      "compile time Python version %d.%d "
                      "of module '%.100s' "
                      "%s "
                      "runtime version %d.%d",
                       (int) (ct_version >> 24), (int) ((ct_version >> 16) & 0xFF),
                       __Pyx_MODULE_NAME,
                       (allow_newer) ? "was newer than" : "does not match",
                       (int) (rt_version >> 24), (int) ((rt_version >> 16) & 0xFF)
       );
        return PyErr_WarnEx(NULL, message, 1);
    }
}

/* NewCodeObj */
#if CYTHON_COMPILING_IN_LIMITED_API
    static PyObject* __Pyx__PyCode_New(int a, int p, int k, int l, int s, int f,
                                       PyObject *code, PyObject *c, PyObject* n, PyObject *v,
                                       PyObject *fv, PyObject *cell, PyObject* fn,
                                       PyObject *name, int fline, PyObject *lnos) {
        PyObject *exception_table = NULL;
        PyObject *types_module=NULL, *code_type=NULL, *result=NULL;
        #if __PYX_LIMITED_VERSION_HEX < 0x030b0000
        PyObject *version_info;
        PyObject *py_minor_version = NULL;
        #endif
        long minor_version = 0;
        PyObject *type, *value, *traceback;
        PyErr_Fetch(&type, &value, &traceback);
        #if __PYX_LIMITED_VERSION_HEX >= 0x030b0000
        minor_version = 11;
        #else
        if (!(version_info = PySys_GetObject("version_info"))) goto end;
        if (!(py_minor_version = PySequence_GetItem(version_info, 1))) goto end;
        minor_version = PyLong_AsLong(py_minor_version);
        Py_DECREF(py_minor_version);
        if (minor_version == -1 && PyErr_Occurred()) goto end;
        #endif
        if (!(types_module = PyImport_ImportModule("types"))) goto end;
        if (!(code_type = PyObject_GetAttrString(types_module, "CodeType"))) goto end;
        if (minor_version <= 7) {
            (void)p;
            result = PyObject_CallFunction(code_type, "iiiiiOOOOOOiOOO", a, k, l, s, f, code,
                          c, n, v, fn, name, fline, lnos, fv, cell);
        } else if (minor_version <= 10) {
            result = PyObject_CallFunction(code_type, "iiiiiiOOOOOOiOOO", a,p, k, l, s, f, code,
                          c, n, v, fn, name, fline, lnos, fv, cell);
        } else {
            if (!(exception_table = PyBytes_FromStringAndSize(NULL, 0))) goto end;
            result = PyObject_CallFunction(code_type, "iiiiiiOOOOOOOiOOOO", a,p, k, l, s, f, code,
                          c, n, v, fn, name, name, fline, lnos, exception_table, fv, cell);
        }
    end:
        Py_XDECREF(code_type);
        Py_XDECREF(exception_table);
        Py_XDECREF(types_module);
        if (type) {
            PyErr_Restore(type, value, traceback);
        }
        return result;
    }
#elif PY_VERSION_HEX >= 0x030B0000
  static PyCodeObject* __Pyx__PyCode_New(int a, int p, int k, int l, int s, int f,
                                         PyObject *code, PyObject *c, PyObject* n, PyObject *v,
                                         PyObject *fv, PyObject *cell, PyObject* fn,
                                         PyObject *name, int fline, PyObject *lnos) {
    PyCodeObject *result;
    result =
      #if PY_VERSION_HEX >= 0x030C0000
        PyUnstable_Code_NewWithPosOnlyArgs
      #else
        PyCode_NewWithPosOnlyArgs
      #endif
        (a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, name, fline, lnos, __pyx_mstate_global->__pyx_empty_bytes);
    #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030c00A1
    if (likely(result))
        result->_co_firsttraceable = 0;
    #endif
    return result;
  }
#elif !CYTHON_COMPILING_IN_PYPY
  #define __Pyx__PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_NewWithPosOnlyArgs(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#else
  #define __Pyx__PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#endif
static PyObject* __Pyx_PyCode_New(
        const __Pyx_PyCode_New_function_description descr,
        PyObject * const *varnames,
        PyObject *filename,
        PyObject *funcname,
        PyObject *line_table,
        PyObject *tuple_dedup_map
) {
    PyObject *code_obj = NULL, *varnames_tuple_dedup = NULL, *code_bytes = NULL;
    Py_ssize_t var_count = (Py_ssize_t) descr.nlocals;
    PyObject *varnames_tuple = PyTuple_New(var_count);
    if (unlikely(!varnames_tuple)) return NULL;
    for (Py_ssize_t i=0; i < var_count; i++) {
        Py_INCREF(varnames[i]);
        if (__Pyx_PyTuple_SET_ITEM(varnames_tuple, i, varnames[i]) != (0)) goto done;
    }
    #if CYTHON_COMPILING_IN_LIMITED_API
    varnames_tuple_dedup = PyDict_GetItem(tuple_dedup_map, varnames_tuple);
    if (!varnames_tuple_dedup) {
        if (unlikely(PyDict_SetItem(tuple_dedup_map, varnames_tuple, varnames_tuple) < 0)) goto done;
        varnames_tuple_dedup = varnames_tuple;
    }
    #else
    varnames_tuple_dedup = PyDict_SetDefault(tuple_dedup_map, varnames_tuple, varnames_tuple);
    if (unlikely(!varnames_tuple_dedup)) goto done;
    #endif
    #if CYTHON_AVOID_BORROWED_REFS
    Py_INCREF(varnames_tuple_dedup);
    #endif
    if (__PYX_LIMITED_VERSION_HEX >= (0x030b0000) && line_table != NULL && !CYTHON_COMPILING_IN_GRAAL) {
        Py_ssize_t line_table_length = __Pyx_PyBytes_GET_SIZE(line_table);
        #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely(line_table_length == -1)) goto done;
        #endif
        Py_ssize_t code_len = (line_table_length * 2 + 4) & ~3LL;
        code_bytes = PyBytes_FromStringAndSize(NULL, code_len);
        if (unlikely(!code_bytes)) goto done;
        char* c_code_bytes = PyBytes_AsString(code_bytes);
        if (unlikely(!c_code_bytes)) goto done;
        memset(c_code_bytes, 0, (size_t) code_len);
    }
    code_obj = (PyObject*) __Pyx__PyCode_New(
        (int) descr.argcount,
        (int) descr.num_posonly_args,
        (int) descr.num_kwonly_args,
        (int) descr.nlocals,
        0,
        (int) descr.flags,
        code_bytes ? code_bytes : __pyx_mstate_global->__pyx_empty_bytes,
        __pyx_mstate_global->__pyx_empty_tuple,
        __pyx_mstate_global->__pyx_empty_tuple,
        varnames_tuple_dedup,
        __pyx_mstate_global->__pyx_empty_tuple,
        __pyx_mstate_global->__pyx_empty_tuple,
        filename,
        funcname,
        (int) descr.first_line,
        (__PYX_LIMITED_VERSION_HEX >= (0x030b0000) && line_table) ? line_table : __pyx_mstate_global->__pyx_empty_bytes
    );
done:
    Py_XDECREF(code_bytes);
    #if CYTHON_AVOID_BORROWED_REFS
    Py_XDECREF(varnames_tuple_dedup);
    #endif
    Py_DECREF(varnames_tuple);
    return code_obj;
}

/* DecompressString */
static PyObject *__Pyx_DecompressString(const char *s, Py_ssize_t length, int algo) {
    PyObject *module = NULL, *decompress, *compressed_bytes, *decompressed;
    const char* module_name = algo == 3 ? "compression.zstd" : algo == 2 ? "bz2" : "zlib";
    PyObject *methodname = PyUnicode_FromString("decompress");
    if (unlikely(!methodname)) return NULL;
    #if __PYX_LIMITED_VERSION_HEX >= 0x030e0000
    if (algo == 3) {
        PyObject *fromlist = Py_BuildValue("[O]", methodname);
        if (unlikely(!fromlist)) goto bad;
        module = PyImport_ImportModuleLevel("compression.zstd", NULL, NULL, fromlist, 0);
        Py_DECREF(fromlist);
    } else
    #endif
        module = PyImport_ImportModule(module_name);
    if (unlikely(!module)) goto import_failed;
    decompress = PyObject_GetAttr(module, methodname);
    if (unlikely(!decompress)) goto import_failed;
    {
        #ifdef __cplusplus
            char *memview_bytes = const_cast<char*>(s);
        #else
            #if defined(__clang__)
              #pragma clang diagnostic push
              #pragma clang diagnostic ignored "-Wcast-qual"
            #elif !defined(__INTEL_COMPILER) && defined(__GNUC__)
              #pragma GCC diagnostic push
              #pragma GCC diagnostic ignored "-Wcast-qual"
            #endif
            char *memview_bytes = (char*) s;
            #if defined(__clang__)
              #pragma clang diagnostic pop
            #elif !defined(__INTEL_COMPILER) && defined(__GNUC__)
              #pragma GCC diagnostic pop
            #endif
        #endif
        #if CYTHON_COMPILING_IN_LIMITED_API && !defined(PyBUF_READ)
        int memview_flags = 0x100;
        #else
        int memview_flags = PyBUF_READ;
        #endif
        compressed_bytes = PyMemoryView_FromMemory(memview_bytes, length, memview_flags);
    }
    if (unlikely(!compressed_bytes)) {
        Py_DECREF(decompress);
        goto bad;
    }
    decompressed = PyObject_CallFunctionObjArgs(decompress, compressed_bytes, NULL);
    Py_DECREF(compressed_bytes);
    Py_DECREF(decompress);
    Py_DECREF(module);
    Py_DECREF(methodname);
    return decompressed;
import_failed:
    PyErr_Format(PyExc_ImportError,
        "Failed to import '%.20s.decompress' - cannot initialise module strings. "
        "String compression was configured with the C macro 'CYTHON_COMPRESS_STRINGS=%d'.",
        module_name, algo);
bad:
    Py_XDECREF(module);
    Py_DECREF(methodname);
    return NULL;
}

#include <string.h>
static CYTHON_INLINE Py_ssize_t __Pyx_ssize_strlen(const char *s) {
    size_t len = strlen(s);
    if (unlikely(len > (size_t) PY_SSIZE_T_MAX)) {
        PyErr_SetString(PyExc_OverflowError, "byte string is too long");
        return -1;
    }
    return (Py_ssize_t) len;
}
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    Py_ssize_t len = __Pyx_ssize_strlen(c_str);
    if (unlikely(len < 0)) return NULL;
    return __Pyx_PyUnicode_FromStringAndSize(c_str, len);
}
static CYTHON_INLINE PyObject* __Pyx_PyByteArray_FromString(const char* c_str) {
    Py_ssize_t len = __Pyx_ssize_strlen(c_str);
    if (unlikely(len < 0)) return NULL;
    return PyByteArray_FromStringAndSize(c_str, len);
}
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_UTF8
static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
#if CYTHON_COMPILING_IN_LIMITED_API
    {
        const char* result;
        Py_ssize_t unicode_length;
        CYTHON_MAYBE_UNUSED_VAR(unicode_length); // only for __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        #if __PYX_LIMITED_VERSION_HEX < 0x030A0000
        if (unlikely(PyArg_Parse(o, "s#", &result, length) < 0)) return NULL;
        #else
        result = PyUnicode_AsUTF8AndSize(o, length);
        #endif
        #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        unicode_length = PyUnicode_GetLength(o);
        if (unlikely(unicode_length < 0)) return NULL;
        if (unlikely(unicode_length != *length)) {
            PyUnicode_AsASCIIString(o);
            return NULL;
        }
        #endif
        return result;
    }
#else
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
    if (likely(PyUnicode_IS_ASCII(o))) {
        *length = PyUnicode_GET_LENGTH(o);
        return PyUnicode_AsUTF8(o);
    } else {
        PyUnicode_AsASCIIString(o);
        return NULL;
    }
#else
    return PyUnicode_AsUTF8AndSize(o, length);
#endif
#endif
}
#endif
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_UTF8
    if (PyUnicode_Check(o)) {
        return __Pyx_PyUnicode_AsStringAndSize(o, length);
    } else
#endif
    if (PyByteArray_Check(o)) {
#if (CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS) || (CYTHON_COMPILING_IN_PYPY && (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE)))
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
#else
        *length = PyByteArray_Size(o);
        if (*length == -1) return NULL;
        return PyByteArray_AsString(o);
#endif
    } else
    {
        char* result;
        int r = PyBytes_AsStringAndSize(o, &result, length);
        if (unlikely(r < 0)) {
            return NULL;
        } else {
            return result;
        }
    }
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
   int is_true = x == Py_True;
   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
   else return PyObject_IsTrue(x);
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {
    int retval;
    if (unlikely(!x)) return -1;
    retval = __Pyx_PyObject_IsTrue(x);
    Py_DECREF(x);
    return retval;
}
static PyObject* __Pyx_PyNumber_LongWrongResultType(PyObject* result) {
    __Pyx_TypeName result_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(result));
    if (PyLong_Check(result)) {
        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
                "__int__ returned non-int (type " __Pyx_FMT_TYPENAME ").  "
                "The ability to return an instance of a strict subclass of int is deprecated, "
                "and may be removed in a future version of Python.",
                result_type_name)) {
            __Pyx_DECREF_TypeName(result_type_name);
            Py_DECREF(result);
            return NULL;
        }
        __Pyx_DECREF_TypeName(result_type_name);
        return result;
    }
    PyErr_Format(PyExc_TypeError,
                 "__int__ returned non-int (type " __Pyx_FMT_TYPENAME ")",
                 result_type_name);
    __Pyx_DECREF_TypeName(result_type_name);
    Py_DECREF(result);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_Long(PyObject* x) {
#if CYTHON_USE_TYPE_SLOTS
  PyNumberMethods *m;
#endif
  PyObject *res = NULL;
  if (likely(PyLong_Check(x)))
      return __Pyx_NewRef(x);
#if CYTHON_USE_TYPE_SLOTS
  m = Py_TYPE(x)->tp_as_number;
  if (likely(m && m->nb_int)) {
      res = m->nb_int(x);
  }
#else
  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
      res = PyNumber_Long(x);
  }
#endif
  if (likely(res)) {
      if (unlikely(!PyLong_CheckExact(res))) {
          return __Pyx_PyNumber_LongWrongResultType(res);
      }
  }
  else if (!PyErr_Occurred()) {
      PyErr_SetString(PyExc_TypeError,
                      "an integer is required");
  }
  return res;
}
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
  Py_ssize_t ival;
  PyObject *x;
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(__Pyx_PyLong_IsCompact(b))) {
        return __Pyx_PyLong_CompactValue(b);
    } else {
      const digit* digits = __Pyx_PyLong_Digits(b);
      const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(b);
      switch (size) {
         case 2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
      }
    }
    #endif
    return PyLong_AsSsize_t(b);
  }
  x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyLong_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}
static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject* o) {
  if (sizeof(Py_hash_t) == sizeof(Py_ssize_t)) {
    return (Py_hash_t) __Pyx_PyIndex_AsSsize_t(o);
  } else {
    Py_ssize_t ival;
    PyObject *x;
    x = PyNumber_Index(o);
    if (!x) return -1;
    ival = PyLong_AsLong(x);
    Py_DECREF(x);
    return ival;
  }
}
static CYTHON_INLINE PyObject *__Pyx_Owned_Py_None(int b) {
    CYTHON_UNUSED_VAR(b);
    return __Pyx_NewRef(Py_None);
}
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
  return __Pyx_NewRef(b ? Py_True: Py_False);
}
static CYTHON_INLINE PyObject * __Pyx_PyLong_FromSize_t(size_t ival) {
    return PyLong_FromSize_t(ival);
}


/* MultiPhaseInitModuleState */
#if CYTHON_PEP489_MULTI_PHASE_INIT && CYTHON_USE_MODULE_STATE
#ifndef CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
#if (CYTHON_COMPILING_IN_LIMITED_API || PY_VERSION_HEX >= 0x030C0000)
  #define CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE 1
#else
  #define CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE 0
#endif
#endif
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE && !CYTHON_ATOMICS
#error "Module state with PEP489 requires atomics. Currently that's one of\
 C11, C++11, gcc atomic intrinsics or MSVC atomic intrinsics"
#endif
#if !CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
#define __Pyx_ModuleStateLookup_Lock()
#define __Pyx_ModuleStateLookup_Unlock()
#elif !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d0000
static PyMutex __Pyx_ModuleStateLookup_mutex = {0};
#define __Pyx_ModuleStateLookup_Lock() PyMutex_Lock(&__Pyx_ModuleStateLookup_mutex)
#define __Pyx_ModuleStateLookup_Unlock() PyMutex_Unlock(&__Pyx_ModuleStateLookup_mutex)
#elif defined(__cplusplus) && __cplusplus >= 201103L
#include <mutex>
static std::mutex __Pyx_ModuleStateLookup_mutex;
#define __Pyx_ModuleStateLookup_Lock() __Pyx_ModuleStateLookup_mutex.lock()
#define __Pyx_ModuleStateLookup_Unlock() __Pyx_ModuleStateLookup_mutex.unlock()
#elif defined(__STDC_VERSION__) && (__STDC_VERSION__ > 201112L) && !defined(__STDC_NO_THREADS__)
#include <threads.h>
static mtx_t __Pyx_ModuleStateLookup_mutex;
static once_flag __Pyx_ModuleStateLookup_mutex_once_flag = ONCE_FLAG_INIT;
static void __Pyx_ModuleStateLookup_initialize_mutex(void) {
    mtx_init(&__Pyx_ModuleStateLookup_mutex, mtx_plain);
}
#define __Pyx_ModuleStateLookup_Lock()\
  call_once(&__Pyx_ModuleStateLookup_mutex_once_flag, __Pyx_ModuleStateLookup_initialize_mutex);\
  mtx_lock(&__Pyx_ModuleStateLookup_mutex)
#define __Pyx_ModuleStateLookup_Unlock() mtx_unlock(&__Pyx_ModuleStateLookup_mutex)
#elif defined(HAVE_PTHREAD_H)
#include <pthread.h>
static pthread_mutex_t __Pyx_ModuleStateLookup_mutex = PTHREAD_MUTEX_INITIALIZER;
#define __Pyx_ModuleStateLookup_Lock() pthread_mutex_lock(&__Pyx_ModuleStateLookup_mutex)
#define __Pyx_ModuleStateLookup_Unlock() pthread_mutex_unlock(&__Pyx_ModuleStateLookup_mutex)
#elif defined(_WIN32)
#include <Windows.h>  // synchapi.h on its own doesn't work
static SRWLOCK __Pyx_ModuleStateLookup_mutex = SRWLOCK_INIT;
#define __Pyx_ModuleStateLookup_Lock() AcquireSRWLockExclusive(&__Pyx_ModuleStateLookup_mutex)
#define __Pyx_ModuleStateLookup_Unlock() ReleaseSRWLockExclusive(&__Pyx_ModuleStateLookup_mutex)
#else
#error "No suitable lock available for CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE.\
 Requires C standard >= C11, or C++ standard >= C++11,\
 or pthreads, or the Windows 32 API, or Python >= 3.13."
#endif
typedef struct {
    int64_t id;
    PyObject *module;
} __Pyx_InterpreterIdAndModule;
typedef struct {
    char interpreter_id_as_index;
    Py_ssize_t count;
    Py_ssize_t allocated;
    __Pyx_InterpreterIdAndModule table[1];
} __Pyx_ModuleStateLookupData;
#define __PYX_MODULE_STATE_LOOKUP_SMALL_SIZE 32
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
static __pyx_atomic_int_type __Pyx_ModuleStateLookup_read_counter = 0;
#endif
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
static __pyx_atomic_ptr_type __Pyx_ModuleStateLookup_data = 0;
#else
static __Pyx_ModuleStateLookupData* __Pyx_ModuleStateLookup_data = NULL;
#endif
static __Pyx_InterpreterIdAndModule* __Pyx_State_FindModuleStateLookupTableLowerBound(
        __Pyx_InterpreterIdAndModule* table,
        Py_ssize_t count,
        int64_t interpreterId) {
    __Pyx_InterpreterIdAndModule* begin = table;
    __Pyx_InterpreterIdAndModule* end = begin + count;
    if (begin->id == interpreterId) {
        return begin;
    }
    while ((end - begin) > __PYX_MODULE_STATE_LOOKUP_SMALL_SIZE) {
        __Pyx_InterpreterIdAndModule* halfway = begin + (end - begin)/2;
        if (halfway->id == interpreterId) {
            return halfway;
        }
        if (halfway->id < interpreterId) {
            begin = halfway;
        } else {
            end = halfway;
        }
    }
    for (; begin < end; ++begin) {
        if (begin->id >= interpreterId) return begin;
    }
    return begin;
}
static PyObject *__Pyx_State_FindModule(CYTHON_UNUSED void* dummy) {
    int64_t interpreter_id = PyInterpreterState_GetID(__Pyx_PyInterpreterState_Get());
    if (interpreter_id == -1) return NULL;
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
    __Pyx_ModuleStateLookupData* data = (__Pyx_ModuleStateLookupData*)__pyx_atomic_pointer_load_relaxed(&__Pyx_ModuleStateLookup_data);
    {
        __pyx_atomic_incr_acq_rel(&__Pyx_ModuleStateLookup_read_counter);
        if (likely(data)) {
            __Pyx_ModuleStateLookupData* new_data = (__Pyx_ModuleStateLookupData*)__pyx_atomic_pointer_load_acquire(&__Pyx_ModuleStateLookup_data);
            if (likely(data == new_data)) {
                goto read_finished;
            }
        }
        __pyx_atomic_decr_acq_rel(&__Pyx_ModuleStateLookup_read_counter);
        __Pyx_ModuleStateLookup_Lock();
        __pyx_atomic_incr_relaxed(&__Pyx_ModuleStateLookup_read_counter);
        data = (__Pyx_ModuleStateLookupData*)__pyx_atomic_pointer_load_relaxed(&__Pyx_ModuleStateLookup_data);
        __Pyx_ModuleStateLookup_Unlock();
    }
  read_finished:;
#else
    __Pyx_ModuleStateLookupData* data = __Pyx_ModuleStateLookup_data;
#endif
    __Pyx_InterpreterIdAndModule* found = NULL;
    if (unlikely(!data)) goto end;
    if (data->interpreter_id_as_index) {
        if (interpreter_id < data->count) {
            found = data->table+interpreter_id;
        }
    } else {
        found = __Pyx_State_FindModuleStateLookupTableLowerBound(
            data->table, data->count, interpreter_id);
    }
  end:
    {
        PyObject *result=NULL;
        if (found && found->id == interpreter_id) {
            result = found->module;
        }
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
        __pyx_atomic_decr_acq_rel(&__Pyx_ModuleStateLookup_read_counter);
#endif
        return result;
    }
}
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
static void __Pyx_ModuleStateLookup_wait_until_no_readers(void) {
    while (__pyx_atomic_load(&__Pyx_ModuleStateLookup_read_counter) != 0);
}
#else
#define __Pyx_ModuleStateLookup_wait_until_no_readers()
#endif
static int __Pyx_State_AddModuleInterpIdAsIndex(__Pyx_ModuleStateLookupData **old_data, PyObject* module, int64_t interpreter_id) {
    Py_ssize_t to_allocate = (*old_data)->allocated;
    while (to_allocate <= interpreter_id) {
        if (to_allocate == 0) to_allocate = 1;
        else to_allocate *= 2;
    }
    __Pyx_ModuleStateLookupData *new_data = *old_data;
    if (to_allocate != (*old_data)->allocated) {
         new_data = (__Pyx_ModuleStateLookupData *)realloc(
            *old_data,
            sizeof(__Pyx_ModuleStateLookupData)+(to_allocate-1)*sizeof(__Pyx_InterpreterIdAndModule));
        if (!new_data) {
            PyErr_NoMemory();
            return -1;
        }
        for (Py_ssize_t i = new_data->allocated; i < to_allocate; ++i) {
            new_data->table[i].id = i;
            new_data->table[i].module = NULL;
        }
        new_data->allocated = to_allocate;
    }
    new_data->table[interpreter_id].module = module;
    if (new_data->count < interpreter_id+1) {
        new_data->count = interpreter_id+1;
    }
    *old_data = new_data;
    return 0;
}
static void __Pyx_State_ConvertFromInterpIdAsIndex(__Pyx_ModuleStateLookupData *data) {
    __Pyx_InterpreterIdAndModule *read = data->table;
    __Pyx_InterpreterIdAndModule *write = data->table;
    __Pyx_InterpreterIdAndModule *end = read + data->count;
    for (; read<end; ++read) {
        if (read->module) {
            write->id = read->id;
            write->module = read->module;
            ++write;
        }
    }
    data->count = write - data->table;
    for (; write<end; ++write) {
        write->id = 0;
        write->module = NULL;
    }
    data->interpreter_id_as_index = 0;
}
static int __Pyx_State_AddModule(PyObject* module, CYTHON_UNUSED void* dummy) {
    int64_t interpreter_id = PyInterpreterState_GetID(__Pyx_PyInterpreterState_Get());
    if (interpreter_id == -1) return -1;
    int result = 0;
    __Pyx_ModuleStateLookup_Lock();
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
    __Pyx_ModuleStateLookupData *old_data = (__Pyx_ModuleStateLookupData *)
            __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, 0);
#else
    __Pyx_ModuleStateLookupData *old_data = __Pyx_ModuleStateLookup_data;
#endif
    __Pyx_ModuleStateLookupData *new_data = old_data;
    if (!new_data) {
        new_data = (__Pyx_ModuleStateLookupData *)calloc(1, sizeof(__Pyx_ModuleStateLookupData));
        if (!new_data) {
            result = -1;
            PyErr_NoMemory();
            goto end;
        }
        new_data->allocated = 1;
        new_data->interpreter_id_as_index = 1;
    }
    __Pyx_ModuleStateLookup_wait_until_no_readers();
    if (new_data->interpreter_id_as_index) {
        if (interpreter_id < __PYX_MODULE_STATE_LOOKUP_SMALL_SIZE) {
            result = __Pyx_State_AddModuleInterpIdAsIndex(&new_data, module, interpreter_id);
            goto end;
        }
        __Pyx_State_ConvertFromInterpIdAsIndex(new_data);
    }
    {
        Py_ssize_t insert_at = 0;
        {
            __Pyx_InterpreterIdAndModule* lower_bound = __Pyx_State_FindModuleStateLookupTableLowerBound(
                new_data->table, new_data->count, interpreter_id);
            assert(lower_bound);
            insert_at = lower_bound - new_data->table;
            if (unlikely(insert_at < new_data->count && lower_bound->id == interpreter_id)) {
                lower_bound->module = module;
                goto end;  // already in table, nothing more to do
            }
        }
        if (new_data->count+1 >= new_data->allocated) {
            Py_ssize_t to_allocate = (new_data->count+1)*2;
            new_data =
                (__Pyx_ModuleStateLookupData*)realloc(
                    new_data,
                    sizeof(__Pyx_ModuleStateLookupData) +
                    (to_allocate-1)*sizeof(__Pyx_InterpreterIdAndModule));
            if (!new_data) {
                result = -1;
                new_data = old_data;
                PyErr_NoMemory();
                goto end;
            }
            new_data->allocated = to_allocate;
        }
        ++new_data->count;
        int64_t last_id = interpreter_id;
        PyObject *last_module = module;
        for (Py_ssize_t i=insert_at; i<new_data->count; ++i) {
            int64_t current_id = new_data->table[i].id;
            new_data->table[i].id = last_id;
            last_id = current_id;
            PyObject *current_module = new_data->table[i].module;
            new_data->table[i].module = last_module;
            last_module = current_module;
        }
    }
  end:
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
    __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, new_data);
#else
    __Pyx_ModuleStateLookup_data = new_data;
#endif
    __Pyx_ModuleStateLookup_Unlock();
    return result;
}
static int __Pyx_State_RemoveModule(CYTHON_UNUSED void* dummy) {
    int64_t interpreter_id = PyInterpreterState_GetID(__Pyx_PyInterpreterState_Get());
    if (interpreter_id == -1) return -1;
    __Pyx_ModuleStateLookup_Lock();
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
    __Pyx_ModuleStateLookupData *data = (__Pyx_ModuleStateLookupData *)
            __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, 0);
#else
    __Pyx_ModuleStateLookupData *data = __Pyx_ModuleStateLookup_data;
#endif
    if (data->interpreter_id_as_index) {
        if (interpreter_id < data->count) {
            data->table[interpreter_id].module = NULL;
        }
        goto done;
    }
    {
        __Pyx_ModuleStateLookup_wait_until_no_readers();
        __Pyx_InterpreterIdAndModule* lower_bound = __Pyx_State_FindModuleStateLookupTableLowerBound(
            data->table, data->count, interpreter_id);
        if (!lower_bound) goto done;
        if (lower_bound->id != interpreter_id) goto done;
        __Pyx_InterpreterIdAndModule *end = data->table+data->count;
        for (;lower_bound<end-1; ++lower_bound) {
            lower_bound->id = (lower_bound+1)->id;
            lower_bound->module = (lower_bound+1)->module;
        }
    }
    --data->count;
    if (data->count == 0) {
        free(data);
        data = NULL;
    }
  done:
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
    __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, data);
#else
    __Pyx_ModuleStateLookup_data = data;
#endif
    __Pyx_ModuleStateLookup_Unlock();
    return 0;
}
#endif

/* #### Code section: utility_code_pragmas_end ### */
#ifdef _MSC_VER
#pragma warning( pop )
#endif



/* #### Code section: end ### */
#endif /* Py_PYTHON_H */