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- """
- NumPy
- =====
- Provides
- 1. An array object of arbitrary homogeneous items
- 2. Fast mathematical operations over arrays
- 3. Linear Algebra, Fourier Transforms, Random Number Generation
- How to use the documentation
- ----------------------------
- Documentation is available in two forms: docstrings provided
- with the code, and a loose standing reference guide, available from
- `the NumPy homepage <https://numpy.org>`_.
- We recommend exploring the docstrings using
- `IPython <https://ipython.org>`_, an advanced Python shell with
- TAB-completion and introspection capabilities. See below for further
- instructions.
- The docstring examples assume that `numpy` has been imported as ``np``::
- >>> import numpy as np
- Code snippets are indicated by three greater-than signs::
- >>> x = 42
- >>> x = x + 1
- Use the built-in ``help`` function to view a function's docstring::
- >>> help(np.sort)
- ... # doctest: +SKIP
- For some objects, ``np.info(obj)`` may provide additional help. This is
- particularly true if you see the line "Help on ufunc object:" at the top
- of the help() page. Ufuncs are implemented in C, not Python, for speed.
- The native Python help() does not know how to view their help, but our
- np.info() function does.
- Available subpackages
- ---------------------
- lib
- Basic functions used by several sub-packages.
- random
- Core Random Tools
- linalg
- Core Linear Algebra Tools
- fft
- Core FFT routines
- polynomial
- Polynomial tools
- testing
- NumPy testing tools
- distutils
- Enhancements to distutils with support for
- Fortran compilers support and more (for Python <= 3.11)
- Utilities
- ---------
- test
- Run numpy unittests
- show_config
- Show numpy build configuration
- __version__
- NumPy version string
- Viewing documentation using IPython
- -----------------------------------
- Start IPython and import `numpy` usually under the alias ``np``: `import
- numpy as np`. Then, directly past or use the ``%cpaste`` magic to paste
- examples into the shell. To see which functions are available in `numpy`,
- type ``np.<TAB>`` (where ``<TAB>`` refers to the TAB key), or use
- ``np.*cos*?<ENTER>`` (where ``<ENTER>`` refers to the ENTER key) to narrow
- down the list. To view the docstring for a function, use
- ``np.cos?<ENTER>`` (to view the docstring) and ``np.cos??<ENTER>`` (to view
- the source code).
- Copies vs. in-place operation
- -----------------------------
- Most of the functions in `numpy` return a copy of the array argument
- (e.g., `np.sort`). In-place versions of these functions are often
- available as array methods, i.e. ``x = np.array([1,2,3]); x.sort()``.
- Exceptions to this rule are documented.
- """
- # start delvewheel patch
- def _delvewheel_patch_1_11_2():
- import os
- if os.path.isdir(libs_dir := os.path.abspath(os.path.join(os.path.dirname(__file__), os.pardir, 'numpy.libs'))):
- os.add_dll_directory(libs_dir)
- _delvewheel_patch_1_11_2()
- del _delvewheel_patch_1_11_2
- # end delvewheel patch
- import os
- import sys
- import warnings
- # If a version with git hash was stored, use that instead
- from . import version
- from ._expired_attrs_2_0 import __expired_attributes__
- from ._globals import _CopyMode, _NoValue
- from .version import __version__
- # We first need to detect if we're being called as part of the numpy setup
- # procedure itself in a reliable manner.
- try:
- __NUMPY_SETUP__ # noqa: B018
- except NameError:
- __NUMPY_SETUP__ = False
- if __NUMPY_SETUP__:
- sys.stderr.write('Running from numpy source directory.\n')
- else:
- # Allow distributors to run custom init code before importing numpy._core
- from . import _distributor_init
- try:
- from numpy.__config__ import show_config
- except ImportError as e:
- if isinstance(e, ModuleNotFoundError) and e.name == "numpy.__config__":
- # The __config__ module itself was not found, so add this info:
- msg = """Error importing numpy: you should not try to import numpy from
- its source directory; please exit the numpy source tree, and relaunch
- your python interpreter from there."""
- raise ImportError(msg) from e
- raise
- from . import _core
- from ._core import (
- False_,
- ScalarType,
- True_,
- abs,
- absolute,
- acos,
- acosh,
- add,
- all,
- allclose,
- amax,
- amin,
- any,
- arange,
- arccos,
- arccosh,
- arcsin,
- arcsinh,
- arctan,
- arctan2,
- arctanh,
- argmax,
- argmin,
- argpartition,
- argsort,
- argwhere,
- around,
- array,
- array2string,
- array_equal,
- array_equiv,
- array_repr,
- array_str,
- asanyarray,
- asarray,
- ascontiguousarray,
- asfortranarray,
- asin,
- asinh,
- astype,
- atan,
- atan2,
- atanh,
- atleast_1d,
- atleast_2d,
- atleast_3d,
- base_repr,
- binary_repr,
- bitwise_and,
- bitwise_count,
- bitwise_invert,
- bitwise_left_shift,
- bitwise_not,
- bitwise_or,
- bitwise_right_shift,
- bitwise_xor,
- block,
- bool,
- bool_,
- broadcast,
- busday_count,
- busday_offset,
- busdaycalendar,
- byte,
- bytes_,
- can_cast,
- cbrt,
- cdouble,
- ceil,
- character,
- choose,
- clip,
- clongdouble,
- complex64,
- complex128,
- complexfloating,
- compress,
- concat,
- concatenate,
- conj,
- conjugate,
- convolve,
- copysign,
- copyto,
- correlate,
- cos,
- cosh,
- count_nonzero,
- cross,
- csingle,
- cumprod,
- cumsum,
- cumulative_prod,
- cumulative_sum,
- datetime64,
- datetime_as_string,
- datetime_data,
- deg2rad,
- degrees,
- diagonal,
- divide,
- divmod,
- dot,
- double,
- dtype,
- e,
- einsum,
- einsum_path,
- empty,
- empty_like,
- equal,
- errstate,
- euler_gamma,
- exp,
- exp2,
- expm1,
- fabs,
- finfo,
- flatiter,
- flatnonzero,
- flexible,
- float16,
- float32,
- float64,
- float_power,
- floating,
- floor,
- floor_divide,
- fmax,
- fmin,
- fmod,
- format_float_positional,
- format_float_scientific,
- frexp,
- from_dlpack,
- frombuffer,
- fromfile,
- fromfunction,
- fromiter,
- frompyfunc,
- fromstring,
- full,
- full_like,
- gcd,
- generic,
- geomspace,
- get_printoptions,
- getbufsize,
- geterr,
- geterrcall,
- greater,
- greater_equal,
- half,
- heaviside,
- hstack,
- hypot,
- identity,
- iinfo,
- indices,
- inexact,
- inf,
- inner,
- int8,
- int16,
- int32,
- int64,
- int_,
- intc,
- integer,
- intp,
- invert,
- is_busday,
- isclose,
- isdtype,
- isfinite,
- isfortran,
- isinf,
- isnan,
- isnat,
- isscalar,
- issubdtype,
- lcm,
- ldexp,
- left_shift,
- less,
- less_equal,
- lexsort,
- linspace,
- little_endian,
- log,
- log1p,
- log2,
- log10,
- logaddexp,
- logaddexp2,
- logical_and,
- logical_not,
- logical_or,
- logical_xor,
- logspace,
- long,
- longdouble,
- longlong,
- matmul,
- matrix_transpose,
- matvec,
- max,
- maximum,
- may_share_memory,
- mean,
- memmap,
- min,
- min_scalar_type,
- minimum,
- mod,
- modf,
- moveaxis,
- multiply,
- nan,
- ndarray,
- ndim,
- nditer,
- negative,
- nested_iters,
- newaxis,
- nextafter,
- nonzero,
- not_equal,
- number,
- object_,
- ones,
- ones_like,
- outer,
- partition,
- permute_dims,
- pi,
- positive,
- pow,
- power,
- printoptions,
- prod,
- promote_types,
- ptp,
- put,
- putmask,
- rad2deg,
- radians,
- ravel,
- recarray,
- reciprocal,
- record,
- remainder,
- repeat,
- require,
- reshape,
- resize,
- result_type,
- right_shift,
- rint,
- roll,
- rollaxis,
- round,
- sctypeDict,
- searchsorted,
- set_printoptions,
- setbufsize,
- seterr,
- seterrcall,
- shape,
- shares_memory,
- short,
- sign,
- signbit,
- signedinteger,
- sin,
- single,
- sinh,
- size,
- sort,
- spacing,
- sqrt,
- square,
- squeeze,
- stack,
- std,
- str_,
- subtract,
- sum,
- swapaxes,
- take,
- tan,
- tanh,
- tensordot,
- timedelta64,
- trace,
- transpose,
- true_divide,
- trunc,
- typecodes,
- ubyte,
- ufunc,
- uint,
- uint8,
- uint16,
- uint32,
- uint64,
- uintc,
- uintp,
- ulong,
- ulonglong,
- unsignedinteger,
- unstack,
- ushort,
- var,
- vdot,
- vecdot,
- vecmat,
- void,
- vstack,
- where,
- zeros,
- zeros_like,
- )
- # NOTE: It's still under discussion whether these aliases
- # should be removed.
- for ta in ["float96", "float128", "complex192", "complex256"]:
- try:
- globals()[ta] = getattr(_core, ta)
- except AttributeError:
- pass
- del ta
- from . import lib, matrixlib as _mat
- from .lib import scimath as emath
- from .lib._arraypad_impl import pad
- from .lib._arraysetops_impl import (
- ediff1d,
- intersect1d,
- isin,
- setdiff1d,
- setxor1d,
- union1d,
- unique,
- unique_all,
- unique_counts,
- unique_inverse,
- unique_values,
- )
- from .lib._function_base_impl import (
- angle,
- append,
- asarray_chkfinite,
- average,
- bartlett,
- bincount,
- blackman,
- copy,
- corrcoef,
- cov,
- delete,
- diff,
- digitize,
- extract,
- flip,
- gradient,
- hamming,
- hanning,
- i0,
- insert,
- interp,
- iterable,
- kaiser,
- median,
- meshgrid,
- percentile,
- piecewise,
- place,
- quantile,
- rot90,
- select,
- sinc,
- sort_complex,
- trapezoid,
- trim_zeros,
- unwrap,
- vectorize,
- )
- from .lib._histograms_impl import histogram, histogram_bin_edges, histogramdd
- from .lib._index_tricks_impl import (
- c_,
- diag_indices,
- diag_indices_from,
- fill_diagonal,
- index_exp,
- ix_,
- mgrid,
- ndenumerate,
- ndindex,
- ogrid,
- r_,
- ravel_multi_index,
- s_,
- unravel_index,
- )
- from .lib._nanfunctions_impl import (
- nanargmax,
- nanargmin,
- nancumprod,
- nancumsum,
- nanmax,
- nanmean,
- nanmedian,
- nanmin,
- nanpercentile,
- nanprod,
- nanquantile,
- nanstd,
- nansum,
- nanvar,
- )
- from .lib._npyio_impl import (
- fromregex,
- genfromtxt,
- load,
- loadtxt,
- packbits,
- save,
- savetxt,
- savez,
- savez_compressed,
- unpackbits,
- )
- from .lib._polynomial_impl import (
- poly,
- poly1d,
- polyadd,
- polyder,
- polydiv,
- polyfit,
- polyint,
- polymul,
- polysub,
- polyval,
- roots,
- )
- from .lib._shape_base_impl import (
- apply_along_axis,
- apply_over_axes,
- array_split,
- column_stack,
- dsplit,
- dstack,
- expand_dims,
- hsplit,
- kron,
- put_along_axis,
- row_stack,
- split,
- take_along_axis,
- tile,
- vsplit,
- )
- from .lib._stride_tricks_impl import (
- broadcast_arrays,
- broadcast_shapes,
- broadcast_to,
- )
- from .lib._twodim_base_impl import (
- diag,
- diagflat,
- eye,
- fliplr,
- flipud,
- histogram2d,
- mask_indices,
- tri,
- tril,
- tril_indices,
- tril_indices_from,
- triu,
- triu_indices,
- triu_indices_from,
- vander,
- )
- from .lib._type_check_impl import (
- common_type,
- imag,
- iscomplex,
- iscomplexobj,
- isreal,
- isrealobj,
- mintypecode,
- nan_to_num,
- real,
- real_if_close,
- typename,
- )
- from .lib._ufunclike_impl import fix, isneginf, isposinf
- from .lib._utils_impl import get_include, info, show_runtime
- from .matrixlib import asmatrix, bmat, matrix
- # public submodules are imported lazily, therefore are accessible from
- # __getattr__. Note that `distutils` (deprecated) and `array_api`
- # (experimental label) are not added here, because `from numpy import *`
- # must not raise any warnings - that's too disruptive.
- __numpy_submodules__ = {
- "linalg", "fft", "dtypes", "random", "polynomial", "ma",
- "exceptions", "lib", "ctypeslib", "testing", "typing",
- "f2py", "test", "rec", "char", "core", "strings",
- }
- # We build warning messages for former attributes
- _msg = (
- "module 'numpy' has no attribute '{n}'.\n"
- "`np.{n}` was a deprecated alias for the builtin `{n}`. "
- "To avoid this error in existing code, use `{n}` by itself. "
- "Doing this will not modify any behavior and is safe. {extended_msg}\n"
- "The aliases was originally deprecated in NumPy 1.20; for more "
- "details and guidance see the original release note at:\n"
- " https://numpy.org/devdocs/release/1.20.0-notes.html#deprecations")
- _specific_msg = (
- "If you specifically wanted the numpy scalar type, use `np.{}` here.")
- _int_extended_msg = (
- "When replacing `np.{}`, you may wish to use e.g. `np.int64` "
- "or `np.int32` to specify the precision. If you wish to review "
- "your current use, check the release note link for "
- "additional information.")
- _type_info = [
- ("object", ""), # The NumPy scalar only exists by name.
- ("float", _specific_msg.format("float64")),
- ("complex", _specific_msg.format("complex128")),
- ("str", _specific_msg.format("str_")),
- ("int", _int_extended_msg.format("int"))]
- __former_attrs__ = {
- n: _msg.format(n=n, extended_msg=extended_msg)
- for n, extended_msg in _type_info
- }
- # Some of these could be defined right away, but most were aliases to
- # the Python objects and only removed in NumPy 1.24. Defining them should
- # probably wait for NumPy 1.26 or 2.0.
- # When defined, these should possibly not be added to `__all__` to avoid
- # import with `from numpy import *`.
- __future_scalars__ = {"str", "bytes", "object"}
- __array_api_version__ = "2024.12"
- from ._array_api_info import __array_namespace_info__
- __all__ = list(
- __numpy_submodules__ |
- set(_core.__all__) |
- set(_mat.__all__) |
- set(lib._histograms_impl.__all__) |
- set(lib._nanfunctions_impl.__all__) |
- set(lib._function_base_impl.__all__) |
- set(lib._twodim_base_impl.__all__) |
- set(lib._shape_base_impl.__all__) |
- set(lib._type_check_impl.__all__) |
- set(lib._arraysetops_impl.__all__) |
- set(lib._ufunclike_impl.__all__) |
- set(lib._arraypad_impl.__all__) |
- set(lib._utils_impl.__all__) |
- set(lib._stride_tricks_impl.__all__) |
- set(lib._polynomial_impl.__all__) |
- set(lib._npyio_impl.__all__) |
- set(lib._index_tricks_impl.__all__) |
- {"emath", "show_config", "__version__", "__array_namespace_info__"}
- )
- # Filter out Cython harmless warnings
- warnings.filterwarnings("ignore", message="numpy.dtype size changed")
- warnings.filterwarnings("ignore", message="numpy.ufunc size changed")
- warnings.filterwarnings("ignore", message="numpy.ndarray size changed")
- def __getattr__(attr):
- # Warn for expired attributes
- import warnings
- if attr == "linalg":
- import numpy.linalg as linalg
- return linalg
- elif attr == "fft":
- import numpy.fft as fft
- return fft
- elif attr == "dtypes":
- import numpy.dtypes as dtypes
- return dtypes
- elif attr == "random":
- import numpy.random as random
- return random
- elif attr == "polynomial":
- import numpy.polynomial as polynomial
- return polynomial
- elif attr == "ma":
- import numpy.ma as ma
- return ma
- elif attr == "ctypeslib":
- import numpy.ctypeslib as ctypeslib
- return ctypeslib
- elif attr == "exceptions":
- import numpy.exceptions as exceptions
- return exceptions
- elif attr == "testing":
- import numpy.testing as testing
- return testing
- elif attr == "matlib":
- import numpy.matlib as matlib
- return matlib
- elif attr == "f2py":
- import numpy.f2py as f2py
- return f2py
- elif attr == "typing":
- import numpy.typing as typing
- return typing
- elif attr == "rec":
- import numpy.rec as rec
- return rec
- elif attr == "char":
- import numpy.char as char
- return char
- elif attr == "array_api":
- raise AttributeError("`numpy.array_api` is not available from "
- "numpy 2.0 onwards", name=None)
- elif attr == "core":
- import numpy.core as core
- return core
- elif attr == "strings":
- import numpy.strings as strings
- return strings
- elif attr == "distutils":
- if 'distutils' in __numpy_submodules__:
- import numpy.distutils as distutils
- return distutils
- else:
- raise AttributeError("`numpy.distutils` is not available from "
- "Python 3.12 onwards", name=None)
- if attr in __future_scalars__:
- # And future warnings for those that will change, but also give
- # the AttributeError
- warnings.warn(
- f"In the future `np.{attr}` will be defined as the "
- "corresponding NumPy scalar.", FutureWarning, stacklevel=2)
- if attr in __former_attrs__:
- raise AttributeError(__former_attrs__[attr], name=None)
- if attr in __expired_attributes__:
- raise AttributeError(
- f"`np.{attr}` was removed in the NumPy 2.0 release. "
- f"{__expired_attributes__[attr]}",
- name=None
- )
- if attr == "chararray":
- warnings.warn(
- "`np.chararray` is deprecated and will be removed from "
- "the main namespace in the future. Use an array with a string "
- "or bytes dtype instead.", DeprecationWarning, stacklevel=2)
- import numpy.char as char
- return char.chararray
- raise AttributeError(f"module {__name__!r} has no attribute {attr!r}")
- def __dir__():
- public_symbols = (
- globals().keys() | __numpy_submodules__
- )
- public_symbols -= {
- "matrixlib", "matlib", "tests", "conftest", "version",
- "distutils", "array_api"
- }
- return list(public_symbols)
- # Pytest testing
- from numpy._pytesttester import PytestTester
- test = PytestTester(__name__)
- del PytestTester
- def _sanity_check():
- """
- Quick sanity checks for common bugs caused by environment.
- There are some cases e.g. with wrong BLAS ABI that cause wrong
- results under specific runtime conditions that are not necessarily
- achieved during test suite runs, and it is useful to catch those early.
- See https://github.com/numpy/numpy/issues/8577 and other
- similar bug reports.
- """
- try:
- x = ones(2, dtype=float32)
- if not abs(x.dot(x) - float32(2.0)) < 1e-5:
- raise AssertionError
- except AssertionError:
- msg = ("The current Numpy installation ({!r}) fails to "
- "pass simple sanity checks. This can be caused for example "
- "by incorrect BLAS library being linked in, or by mixing "
- "package managers (pip, conda, apt, ...). Search closed "
- "numpy issues for similar problems.")
- raise RuntimeError(msg.format(__file__)) from None
- _sanity_check()
- del _sanity_check
- def _mac_os_check():
- """
- Quick Sanity check for Mac OS look for accelerate build bugs.
- Testing numpy polyfit calls init_dgelsd(LAPACK)
- """
- try:
- c = array([3., 2., 1.])
- x = linspace(0, 2, 5)
- y = polyval(c, x)
- _ = polyfit(x, y, 2, cov=True)
- except ValueError:
- pass
- if sys.platform == "darwin":
- from . import exceptions
- with warnings.catch_warnings(record=True) as w:
- _mac_os_check()
- # Throw runtime error, if the test failed
- # Check for warning and report the error_message
- if len(w) > 0:
- for _wn in w:
- if _wn.category is exceptions.RankWarning:
- # Ignore other warnings, they may not be relevant (see gh-25433)
- error_message = (
- f"{_wn.category.__name__}: {_wn.message}"
- )
- msg = (
- "Polyfit sanity test emitted a warning, most likely due "
- "to using a buggy Accelerate backend."
- "\nIf you compiled yourself, more information is available at:" # noqa: E501
- "\nhttps://numpy.org/devdocs/building/index.html"
- "\nOtherwise report this to the vendor "
- f"that provided NumPy.\n\n{error_message}\n")
- raise RuntimeError(msg)
- del _wn
- del w
- del _mac_os_check
- def blas_fpe_check():
- # Check if BLAS adds spurious FPEs, mostly seen on M4 arms with Accelerate.
- with errstate(all='raise'):
- x = ones((20, 20))
- try:
- x @ x
- except FloatingPointError:
- res = _core._multiarray_umath._blas_supports_fpe(False)
- if res: # res was not modified (hardcoded to True for now)
- warnings.warn(
- "Spurious warnings given by blas but suppression not "
- "set up on this platform. Please open a NumPy issue.",
- UserWarning, stacklevel=2)
- blas_fpe_check()
- del blas_fpe_check
- def hugepage_setup():
- """
- We usually use madvise hugepages support, but on some old kernels it
- is slow and thus better avoided. Specifically kernel version 4.6
- had a bug fix which probably fixed this:
- https://github.com/torvalds/linux/commit/7cf91a98e607c2f935dbcc177d70011e95b8faff
- """
- use_hugepage = os.environ.get("NUMPY_MADVISE_HUGEPAGE", None)
- if sys.platform == "linux" and use_hugepage is None:
- # If there is an issue with parsing the kernel version,
- # set use_hugepage to 0. Usage of LooseVersion will handle
- # the kernel version parsing better, but avoided since it
- # will increase the import time.
- # See: #16679 for related discussion.
- try:
- use_hugepage = 1
- kernel_version = os.uname().release.split(".")[:2]
- kernel_version = tuple(int(v) for v in kernel_version)
- if kernel_version < (4, 6):
- use_hugepage = 0
- except ValueError:
- use_hugepage = 0
- elif use_hugepage is None:
- # This is not Linux, so it should not matter, just enable anyway
- use_hugepage = 1
- else:
- use_hugepage = int(use_hugepage)
- return use_hugepage
- # Note that this will currently only make a difference on Linux
- _core.multiarray._set_madvise_hugepage(hugepage_setup())
- del hugepage_setup
- # Give a warning if NumPy is reloaded or imported on a sub-interpreter
- # We do this from python, since the C-module may not be reloaded and
- # it is tidier organized.
- _core.multiarray._multiarray_umath._reload_guard()
- # TODO: Remove the environment variable entirely now that it is "weak"
- if (os.environ.get("NPY_PROMOTION_STATE", "weak") != "weak"):
- warnings.warn(
- "NPY_PROMOTION_STATE was a temporary feature for NumPy 2.0 "
- "transition and is ignored after NumPy 2.2.",
- UserWarning, stacklevel=2)
- # Tell PyInstaller where to find hook-numpy.py
- def _pyinstaller_hooks_dir():
- from pathlib import Path
- return [str(Path(__file__).with_name("_pyinstaller").resolve())]
- # Remove symbols imported for internal use
- del os, sys, warnings
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