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- ;
- ; Accurate integer FDCT (64-bit AVX2)
- ;
- ; Copyright 2009 Pierre Ossman <ossman@cendio.se> for Cendio AB
- ; Copyright (C) 2009, 2016, 2018, 2020, 2024, D. R. Commander.
- ;
- ; Based on the x86 SIMD extension for IJG JPEG library
- ; Copyright (C) 1999-2006, MIYASAKA Masaru.
- ; For conditions of distribution and use, see copyright notice in jsimdext.inc
- ;
- ; This file should be assembled with NASM (Netwide Assembler) or Yasm.
- ;
- ; This file contains a slower but more accurate integer implementation of the
- ; forward DCT (Discrete Cosine Transform). The following code is based
- ; directly on the IJG's original jfdctint.c; see the jfdctint.c for
- ; more details.
- %include "jsimdext.inc"
- %include "jdct.inc"
- ; --------------------------------------------------------------------------
- %define CONST_BITS 13
- %define PASS1_BITS 2
- %define DESCALE_P1 (CONST_BITS - PASS1_BITS)
- %define DESCALE_P2 (CONST_BITS + PASS1_BITS)
- %if CONST_BITS == 13
- F_0_298 equ 2446 ; FIX(0.298631336)
- F_0_390 equ 3196 ; FIX(0.390180644)
- F_0_541 equ 4433 ; FIX(0.541196100)
- F_0_765 equ 6270 ; FIX(0.765366865)
- F_0_899 equ 7373 ; FIX(0.899976223)
- F_1_175 equ 9633 ; FIX(1.175875602)
- F_1_501 equ 12299 ; FIX(1.501321110)
- F_1_847 equ 15137 ; FIX(1.847759065)
- F_1_961 equ 16069 ; FIX(1.961570560)
- F_2_053 equ 16819 ; FIX(2.053119869)
- F_2_562 equ 20995 ; FIX(2.562915447)
- F_3_072 equ 25172 ; FIX(3.072711026)
- %else
- ; NASM cannot do compile-time arithmetic on floating-point constants.
- %define DESCALE(x, n) (((x) + (1 << ((n) - 1))) >> (n))
- F_0_298 equ DESCALE( 320652955, 30 - CONST_BITS) ; FIX(0.298631336)
- F_0_390 equ DESCALE( 418953276, 30 - CONST_BITS) ; FIX(0.390180644)
- F_0_541 equ DESCALE( 581104887, 30 - CONST_BITS) ; FIX(0.541196100)
- F_0_765 equ DESCALE( 821806413, 30 - CONST_BITS) ; FIX(0.765366865)
- F_0_899 equ DESCALE( 966342111, 30 - CONST_BITS) ; FIX(0.899976223)
- F_1_175 equ DESCALE(1262586813, 30 - CONST_BITS) ; FIX(1.175875602)
- F_1_501 equ DESCALE(1612031267, 30 - CONST_BITS) ; FIX(1.501321110)
- F_1_847 equ DESCALE(1984016188, 30 - CONST_BITS) ; FIX(1.847759065)
- F_1_961 equ DESCALE(2106220350, 30 - CONST_BITS) ; FIX(1.961570560)
- F_2_053 equ DESCALE(2204520673, 30 - CONST_BITS) ; FIX(2.053119869)
- F_2_562 equ DESCALE(2751909506, 30 - CONST_BITS) ; FIX(2.562915447)
- F_3_072 equ DESCALE(3299298341, 30 - CONST_BITS) ; FIX(3.072711026)
- %endif
- ; --------------------------------------------------------------------------
- ; In-place 8x8x16-bit matrix transpose using AVX2 instructions
- ; %1-%4: Input/output registers
- ; %5-%8: Temp registers
- %macro DOTRANSPOSE 8
- ; %1=(00 01 02 03 04 05 06 07 40 41 42 43 44 45 46 47)
- ; %2=(10 11 12 13 14 15 16 17 50 51 52 53 54 55 56 57)
- ; %3=(20 21 22 23 24 25 26 27 60 61 62 63 64 65 66 67)
- ; %4=(30 31 32 33 34 35 36 37 70 71 72 73 74 75 76 77)
- vpunpcklwd %5, %1, %2
- vpunpckhwd %6, %1, %2
- vpunpcklwd %7, %3, %4
- vpunpckhwd %8, %3, %4
- ; transpose coefficients(phase 1)
- ; %5=(00 10 01 11 02 12 03 13 40 50 41 51 42 52 43 53)
- ; %6=(04 14 05 15 06 16 07 17 44 54 45 55 46 56 47 57)
- ; %7=(20 30 21 31 22 32 23 33 60 70 61 71 62 72 63 73)
- ; %8=(24 34 25 35 26 36 27 37 64 74 65 75 66 76 67 77)
- vpunpckldq %1, %5, %7
- vpunpckhdq %2, %5, %7
- vpunpckldq %3, %6, %8
- vpunpckhdq %4, %6, %8
- ; transpose coefficients(phase 2)
- ; %1=(00 10 20 30 01 11 21 31 40 50 60 70 41 51 61 71)
- ; %2=(02 12 22 32 03 13 23 33 42 52 62 72 43 53 63 73)
- ; %3=(04 14 24 34 05 15 25 35 44 54 64 74 45 55 65 75)
- ; %4=(06 16 26 36 07 17 27 37 46 56 66 76 47 57 67 77)
- vpermq %1, %1, 0x8D
- vpermq %2, %2, 0x8D
- vpermq %3, %3, 0xD8
- vpermq %4, %4, 0xD8
- ; transpose coefficients(phase 3)
- ; %1=(01 11 21 31 41 51 61 71 00 10 20 30 40 50 60 70)
- ; %2=(03 13 23 33 43 53 63 73 02 12 22 32 42 52 62 72)
- ; %3=(04 14 24 34 44 54 64 74 05 15 25 35 45 55 65 75)
- ; %4=(06 16 26 36 46 56 66 76 07 17 27 37 47 57 67 77)
- %endmacro
- ; --------------------------------------------------------------------------
- ; In-place 8x8x16-bit accurate integer forward DCT using AVX2 instructions
- ; %1-%4: Input/output registers
- ; %5-%8: Temp registers
- ; %9: Pass (1 or 2)
- %macro DODCT 9
- vpsubw %5, %1, %4 ; %5=data1_0-data6_7=tmp6_7
- vpaddw %6, %1, %4 ; %6=data1_0+data6_7=tmp1_0
- vpaddw %7, %2, %3 ; %7=data3_2+data4_5=tmp3_2
- vpsubw %8, %2, %3 ; %8=data3_2-data4_5=tmp4_5
- ; -- Even part
- vperm2i128 %6, %6, %6, 0x01 ; %6=tmp0_1
- vpaddw %1, %6, %7 ; %1=tmp0_1+tmp3_2=tmp10_11
- vpsubw %6, %6, %7 ; %6=tmp0_1-tmp3_2=tmp13_12
- vperm2i128 %7, %1, %1, 0x01 ; %7=tmp11_10
- vpsignw %1, %1, [rel PW_1_NEG1] ; %1=tmp10_neg11
- vpaddw %7, %7, %1 ; %7=(tmp10+tmp11)_(tmp10-tmp11)
- %if %9 == 1
- vpsllw %1, %7, PASS1_BITS ; %1=data0_4
- %else
- vpaddw %7, %7, [rel PW_DESCALE_P2X]
- vpsraw %1, %7, PASS1_BITS ; %1=data0_4
- %endif
- ; (Original)
- ; z1 = (tmp12 + tmp13) * 0.541196100;
- ; data2 = z1 + tmp13 * 0.765366865;
- ; data6 = z1 + tmp12 * -1.847759065;
- ;
- ; (This implementation)
- ; data2 = tmp13 * (0.541196100 + 0.765366865) + tmp12 * 0.541196100;
- ; data6 = tmp13 * 0.541196100 + tmp12 * (0.541196100 - 1.847759065);
- vperm2i128 %7, %6, %6, 0x01 ; %7=tmp12_13
- vpunpcklwd %2, %6, %7
- vpunpckhwd %6, %6, %7
- vpmaddwd %2, %2, [rel PW_F130_F054_MF130_F054] ; %2=data2_6L
- vpmaddwd %6, %6, [rel PW_F130_F054_MF130_F054] ; %6=data2_6H
- vpaddd %2, %2, [rel PD_DESCALE_P %+ %9]
- vpaddd %6, %6, [rel PD_DESCALE_P %+ %9]
- vpsrad %2, %2, DESCALE_P %+ %9
- vpsrad %6, %6, DESCALE_P %+ %9
- vpackssdw %3, %2, %6 ; %6=data2_6
- ; -- Odd part
- vpaddw %7, %8, %5 ; %7=tmp4_5+tmp6_7=z3_4
- ; (Original)
- ; z5 = (z3 + z4) * 1.175875602;
- ; z3 = z3 * -1.961570560; z4 = z4 * -0.390180644;
- ; z3 += z5; z4 += z5;
- ;
- ; (This implementation)
- ; z3 = z3 * (1.175875602 - 1.961570560) + z4 * 1.175875602;
- ; z4 = z3 * 1.175875602 + z4 * (1.175875602 - 0.390180644);
- vperm2i128 %2, %7, %7, 0x01 ; %2=z4_3
- vpunpcklwd %6, %7, %2
- vpunpckhwd %7, %7, %2
- vpmaddwd %6, %6, [rel PW_MF078_F117_F078_F117] ; %6=z3_4L
- vpmaddwd %7, %7, [rel PW_MF078_F117_F078_F117] ; %7=z3_4H
- ; (Original)
- ; z1 = tmp4 + tmp7; z2 = tmp5 + tmp6;
- ; tmp4 = tmp4 * 0.298631336; tmp5 = tmp5 * 2.053119869;
- ; tmp6 = tmp6 * 3.072711026; tmp7 = tmp7 * 1.501321110;
- ; z1 = z1 * -0.899976223; z2 = z2 * -2.562915447;
- ; data7 = tmp4 + z1 + z3; data5 = tmp5 + z2 + z4;
- ; data3 = tmp6 + z2 + z3; data1 = tmp7 + z1 + z4;
- ;
- ; (This implementation)
- ; tmp4 = tmp4 * (0.298631336 - 0.899976223) + tmp7 * -0.899976223;
- ; tmp5 = tmp5 * (2.053119869 - 2.562915447) + tmp6 * -2.562915447;
- ; tmp6 = tmp5 * -2.562915447 + tmp6 * (3.072711026 - 2.562915447);
- ; tmp7 = tmp4 * -0.899976223 + tmp7 * (1.501321110 - 0.899976223);
- ; data7 = tmp4 + z3; data5 = tmp5 + z4;
- ; data3 = tmp6 + z3; data1 = tmp7 + z4;
- vperm2i128 %4, %5, %5, 0x01 ; %4=tmp7_6
- vpunpcklwd %2, %8, %4
- vpunpckhwd %4, %8, %4
- vpmaddwd %2, %2, [rel PW_MF060_MF089_MF050_MF256] ; %2=tmp4_5L
- vpmaddwd %4, %4, [rel PW_MF060_MF089_MF050_MF256] ; %4=tmp4_5H
- vpaddd %2, %2, %6 ; %2=data7_5L
- vpaddd %4, %4, %7 ; %4=data7_5H
- vpaddd %2, %2, [rel PD_DESCALE_P %+ %9]
- vpaddd %4, %4, [rel PD_DESCALE_P %+ %9]
- vpsrad %2, %2, DESCALE_P %+ %9
- vpsrad %4, %4, DESCALE_P %+ %9
- vpackssdw %4, %2, %4 ; %4=data7_5
- vperm2i128 %2, %8, %8, 0x01 ; %2=tmp5_4
- vpunpcklwd %8, %5, %2
- vpunpckhwd %5, %5, %2
- vpmaddwd %8, %8, [rel PW_F050_MF256_F060_MF089] ; %8=tmp6_7L
- vpmaddwd %5, %5, [rel PW_F050_MF256_F060_MF089] ; %5=tmp6_7H
- vpaddd %8, %8, %6 ; %8=data3_1L
- vpaddd %5, %5, %7 ; %5=data3_1H
- vpaddd %8, %8, [rel PD_DESCALE_P %+ %9]
- vpaddd %5, %5, [rel PD_DESCALE_P %+ %9]
- vpsrad %8, %8, DESCALE_P %+ %9
- vpsrad %5, %5, DESCALE_P %+ %9
- vpackssdw %2, %8, %5 ; %2=data3_1
- %endmacro
- ; --------------------------------------------------------------------------
- SECTION SEG_CONST
- ALIGNZ 32
- GLOBAL_DATA(jconst_fdct_islow_avx2)
- EXTN(jconst_fdct_islow_avx2):
- PW_F130_F054_MF130_F054 times 4 dw (F_0_541 + F_0_765), F_0_541
- times 4 dw (F_0_541 - F_1_847), F_0_541
- PW_MF078_F117_F078_F117 times 4 dw (F_1_175 - F_1_961), F_1_175
- times 4 dw (F_1_175 - F_0_390), F_1_175
- PW_MF060_MF089_MF050_MF256 times 4 dw (F_0_298 - F_0_899), -F_0_899
- times 4 dw (F_2_053 - F_2_562), -F_2_562
- PW_F050_MF256_F060_MF089 times 4 dw (F_3_072 - F_2_562), -F_2_562
- times 4 dw (F_1_501 - F_0_899), -F_0_899
- PD_DESCALE_P1 times 8 dd 1 << (DESCALE_P1 - 1)
- PD_DESCALE_P2 times 8 dd 1 << (DESCALE_P2 - 1)
- PW_DESCALE_P2X times 16 dw 1 << (PASS1_BITS - 1)
- PW_1_NEG1 times 8 dw 1
- times 8 dw -1
- ALIGNZ 32
- ; --------------------------------------------------------------------------
- SECTION SEG_TEXT
- BITS 64
- ;
- ; Perform the forward DCT on one block of samples.
- ;
- ; GLOBAL(void)
- ; jsimd_fdct_islow_avx2(DCTELEM *data)
- ;
- ; r10 = DCTELEM *data
- align 32
- GLOBAL_FUNCTION(jsimd_fdct_islow_avx2)
- EXTN(jsimd_fdct_islow_avx2):
- ENDBR64
- push rbp
- mov rbp, rsp
- COLLECT_ARGS 1
- ; ---- Pass 1: process rows.
- vmovdqu ymm4, YMMWORD [YMMBLOCK(0,0,r10,SIZEOF_DCTELEM)]
- vmovdqu ymm5, YMMWORD [YMMBLOCK(2,0,r10,SIZEOF_DCTELEM)]
- vmovdqu ymm6, YMMWORD [YMMBLOCK(4,0,r10,SIZEOF_DCTELEM)]
- vmovdqu ymm7, YMMWORD [YMMBLOCK(6,0,r10,SIZEOF_DCTELEM)]
- ; ymm4=(00 01 02 03 04 05 06 07 10 11 12 13 14 15 16 17)
- ; ymm5=(20 21 22 23 24 25 26 27 30 31 32 33 34 35 36 37)
- ; ymm6=(40 41 42 43 44 45 46 47 50 51 52 53 54 55 56 57)
- ; ymm7=(60 61 62 63 64 65 66 67 70 71 72 73 74 75 76 77)
- vperm2i128 ymm0, ymm4, ymm6, 0x20
- vperm2i128 ymm1, ymm4, ymm6, 0x31
- vperm2i128 ymm2, ymm5, ymm7, 0x20
- vperm2i128 ymm3, ymm5, ymm7, 0x31
- ; ymm0=(00 01 02 03 04 05 06 07 40 41 42 43 44 45 46 47)
- ; ymm1=(10 11 12 13 14 15 16 17 50 51 52 53 54 55 56 57)
- ; ymm2=(20 21 22 23 24 25 26 27 60 61 62 63 64 65 66 67)
- ; ymm3=(30 31 32 33 34 35 36 37 70 71 72 73 74 75 76 77)
- DOTRANSPOSE ymm0, ymm1, ymm2, ymm3, ymm4, ymm5, ymm6, ymm7
- DODCT ymm0, ymm1, ymm2, ymm3, ymm4, ymm5, ymm6, ymm7, 1
- ; ymm0=data0_4, ymm1=data3_1, ymm2=data2_6, ymm3=data7_5
- ; ---- Pass 2: process columns.
- vperm2i128 ymm4, ymm1, ymm3, 0x20 ; ymm4=data3_7
- vperm2i128 ymm1, ymm1, ymm3, 0x31 ; ymm1=data1_5
- DOTRANSPOSE ymm0, ymm1, ymm2, ymm4, ymm3, ymm5, ymm6, ymm7
- DODCT ymm0, ymm1, ymm2, ymm4, ymm3, ymm5, ymm6, ymm7, 2
- ; ymm0=data0_4, ymm1=data3_1, ymm2=data2_6, ymm4=data7_5
- vperm2i128 ymm3, ymm0, ymm1, 0x30 ; ymm3=data0_1
- vperm2i128 ymm5, ymm2, ymm1, 0x20 ; ymm5=data2_3
- vperm2i128 ymm6, ymm0, ymm4, 0x31 ; ymm6=data4_5
- vperm2i128 ymm7, ymm2, ymm4, 0x21 ; ymm7=data6_7
- vmovdqu YMMWORD [YMMBLOCK(0,0,r10,SIZEOF_DCTELEM)], ymm3
- vmovdqu YMMWORD [YMMBLOCK(2,0,r10,SIZEOF_DCTELEM)], ymm5
- vmovdqu YMMWORD [YMMBLOCK(4,0,r10,SIZEOF_DCTELEM)], ymm6
- vmovdqu YMMWORD [YMMBLOCK(6,0,r10,SIZEOF_DCTELEM)], ymm7
- vzeroupper
- UNCOLLECT_ARGS 1
- pop rbp
- ret
- ; For some reason, the OS X linker does not honor the request to align the
- ; segment unless we do this.
- align 32
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