; ; jfdctint.asm - accurate integer FDCT (64-bit AVX2) ; ; Copyright 2009 Pierre Ossman for Cendio AB ; Copyright (C) 2009, 2016, 2018, 2020, 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), ; can *not* be assembled with Microsoft's MASM or any compatible ; assembler (including Borland's Turbo Assembler). ; NASM is available from http://nasm.sourceforge.net/ or ; http://sourceforge.net/project/showfiles.php?group_id=6208 ; ; 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): push rbp mov rax, rsp 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