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;
; jfdctfst.asm - fast integer FDCT (64-bit AVX2)
;
; Copyright 2009 Pierre Ossman <ossman@cendio.se> for Cendio AB
; Copyright (C) 2009, 2016, 2018, 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 fast, not so accurate integer implementation of
; the forward DCT (Discrete Cosine Transform). The following code is
; based directly on the IJG's original jfdctfst.c; see the jfdctfst.c
; for more details.
;
; [TAB8]
%include "jsimdext.inc"
%include "jdct.inc"
; --------------------------------------------------------------------------
%define CONST_BITS 8 ; 14 is also OK.
%if CONST_BITS == 8
F_0_382 equ 98 ; FIX(0.382683433)
F_0_541 equ 139 ; FIX(0.541196100)
F_0_707 equ 181 ; FIX(0.707106781)
F_1_306 equ 334 ; FIX(1.306562965)
%else
; NASM cannot do compile-time arithmetic on floating-point constants.
%define DESCALE(x,n) (((x)+(1<<((n)-1)))>>(n))
F_0_382 equ DESCALE( 410903207, 30-CONST_BITS) ; FIX(0.382683433)
F_0_541 equ DESCALE( 581104887, 30-CONST_BITS) ; FIX(0.541196100)
F_0_707 equ DESCALE( 759250124, 30-CONST_BITS) ; FIX(0.707106781)
F_1_306 equ DESCALE(1402911301, 30-CONST_BITS) ; FIX(1.306562965)
%endif
; --------------------------------------------------------------------------
SECTION SEG_CONST
; PRE_MULTIPLY_SCALE_BITS <= 2 (to avoid overflow)
; CONST_BITS + CONST_SHIFT + PRE_MULTIPLY_SCALE_BITS == 16 (for pmulhw)
%define PRE_MULTIPLY_SCALE_BITS 2
%define CONST_SHIFT (16 - PRE_MULTIPLY_SCALE_BITS - CONST_BITS)
alignz 32
global EXTN(jconst_fdct_ifast_avx2)
EXTN(jconst_fdct_ifast_avx2):
PW_F0707 times 8 dw F_0_707 << CONST_SHIFT
PW_F0382 times 8 dw F_0_382 << CONST_SHIFT
PW_F0541 times 8 dw F_0_541 << CONST_SHIFT
PW_F1306 times 8 dw F_1_306 << CONST_SHIFT
alignz 32
; --------------------------------------------------------------------------
SECTION SEG_TEXT
BITS 64
;
; Perform the forward DCT on one block of samples.
;
; GLOBAL(void)
; jsimd_fdct_ifast_avx2 (DCTELEM *data)
;
; r10 = DCTELEM *data
align 32
global EXTN(jsimd_fdct_ifast_avx2)
EXTN(jsimd_fdct_ifast_avx2):
push rbp
mov rax, rsp
mov rbp, rsp
collect_args 1
; ---- Pass 1: process rows.
mov rdx, r10 ; (DCTELEM *)
movdqa xmm0, XMMWORD [XMMBLOCK(0,0,rdx,SIZEOF_DCTELEM)]
movdqa xmm1, XMMWORD [XMMBLOCK(1,0,rdx,SIZEOF_DCTELEM)]
movdqa xmm2, XMMWORD [XMMBLOCK(2,0,rdx,SIZEOF_DCTELEM)]
movdqa xmm3, XMMWORD [XMMBLOCK(3,0,rdx,SIZEOF_DCTELEM)]
; xmm0=(00 01 02 03 04 05 06 07), xmm2=(20 21 22 23 24 25 26 27)
; xmm1=(10 11 12 13 14 15 16 17), xmm3=(30 31 32 33 34 35 36 37)
vpunpckhwd xmm4, xmm0, xmm1 ; xmm4=(04 14 05 15 06 16 07 17)
vpunpcklwd xmm0, xmm0, xmm1 ; xmm0=(00 10 01 11 02 12 03 13)
vpunpckhwd xmm8, xmm2, xmm3 ; xmm8=(24 34 25 35 26 36 27 37)
vpunpcklwd xmm9, xmm2, xmm3 ; xmm9=(20 30 21 31 22 32 23 33)
movdqa xmm6, XMMWORD [XMMBLOCK(4,0,rdx,SIZEOF_DCTELEM)]
movdqa xmm7, XMMWORD [XMMBLOCK(5,0,rdx,SIZEOF_DCTELEM)]
movdqa xmm1, XMMWORD [XMMBLOCK(6,0,rdx,SIZEOF_DCTELEM)]
movdqa xmm3, XMMWORD [XMMBLOCK(7,0,rdx,SIZEOF_DCTELEM)]
; xmm6=(40 41 42 43 44 45 46 47), xmm1=(60 61 62 63 64 65 66 67)
; xmm7=(50 51 52 53 54 55 56 57), xmm3=(70 71 72 73 74 75 76 77)
vpunpckhwd xmm2, xmm6, xmm7 ; xmm2=(44 54 45 55 46 56 47 57)
vpunpcklwd xmm6, xmm6, xmm7 ; xmm6=(40 50 41 51 42 52 43 53)
vpunpckhwd xmm5, xmm1, xmm3 ; xmm5=(64 74 65 75 66 76 67 77)
vpunpcklwd xmm1, xmm1, xmm3 ; xmm1=(60 70 61 71 62 72 63 73)
vpunpckhdq xmm10, xmm6, xmm1 ; xmm10=(42 52 62 72 43 53 63 73)
vpunpckldq xmm6, xmm6, xmm1 ; xmm6=(40 50 60 70 41 51 61 71)
vpunpckhdq xmm3, xmm2, xmm5 ; xmm3=(46 56 66 76 47 57 67 77)
vpunpckldq xmm11, xmm2, xmm5 ; xmm11=(44 54 64 74 45 55 65 75)
vpunpckhdq xmm7, xmm0, xmm9 ; xmm7=(02 12 22 32 03 13 23 33)
vpunpckldq xmm0, xmm0, xmm9 ; xmm0=(00 10 20 30 01 11 21 31)
vpunpckhdq xmm2, xmm4, xmm8 ; xmm2=(06 16 26 36 07 17 27 37)
vpunpckldq xmm4, xmm4, xmm8 ; xmm4=(04 14 24 34 05 15 25 35)
vpunpckhqdq xmm1, xmm0, xmm6 ; xmm1=(01 11 21 31 41 51 61 71)=data1
vpunpcklqdq xmm0, xmm0, xmm6 ; xmm0=(00 10 20 30 40 50 60 70)=data0
vpunpckhqdq xmm5, xmm2, xmm3 ; xmm5=(07 17 27 37 47 57 67 77)=data7
vpunpcklqdq xmm2, xmm2, xmm3 ; xmm2=(06 16 26 36 46 56 66 76)=data6
vpaddw xmm6, xmm1, xmm2 ; xmm6=data1+data6=tmp1
vpaddw xmm3, xmm0, xmm5 ; xmm3=data0+data7=tmp0
vpsubw xmm8, xmm1, xmm2 ; xmm8=data1-data6=tmp6
vpsubw xmm9, xmm0, xmm5 ; xmm9=data0-data7=tmp7
vpunpckhqdq xmm1, xmm7, xmm10 ; xmm1=(03 13 23 33 43 53 63 73)=data3
vpunpcklqdq xmm7, xmm7, xmm10 ; xmm7=(02 12 22 32 42 52 62 72)=data2
vpunpckhqdq xmm0, xmm4, xmm11 ; xmm0=(05 15 25 35 45 55 65 75)=data5
vpunpcklqdq xmm4, xmm4, xmm11 ; xmm4=(04 14 24 34 44 54 64 74)=data4
vpsubw xmm2, xmm1, xmm4 ; xmm2=data3-data4=tmp4
vpsubw xmm5, xmm7, xmm0 ; xmm5=data2-data5=tmp5
vpaddw xmm1, xmm1, xmm4 ; xmm1=data3+data4=tmp3
vpaddw xmm7, xmm7, xmm0 ; xmm7=data2+data5=tmp2
; -- Even part
vpaddw xmm4, xmm3, xmm1 ; xmm4=tmp10
vpaddw xmm0, xmm6, xmm7 ; xmm0=tmp11
vpsubw xmm3, xmm3, xmm1 ; xmm3=tmp13
vpsubw xmm6, xmm6, xmm7 ; xmm6=tmp12
vpaddw xmm6, xmm6, xmm3
vpsllw xmm6, xmm6, PRE_MULTIPLY_SCALE_BITS
vpmulhw xmm6, xmm6, [rel PW_F0707] ; xmm6=z1
vpaddw xmm1, xmm4, xmm0 ; xmm1=data0
vpaddw xmm7, xmm3, xmm6 ; xmm7=data2
vpsubw xmm10, xmm4, xmm0 ; xmm10=data4
vpsubw xmm11, xmm3, xmm6 ; xmm11=data6
; -- Odd part
vpaddw xmm2, xmm2, xmm5 ; xmm2=tmp10
vpaddw xmm5, xmm5, xmm8 ; xmm5=tmp11
vpaddw xmm0, xmm8, xmm9 ; xmm0=tmp12, xmm9=tmp7
vpsllw xmm2, xmm2, PRE_MULTIPLY_SCALE_BITS
vpsllw xmm0, xmm0, PRE_MULTIPLY_SCALE_BITS
vpsllw xmm5, xmm5, PRE_MULTIPLY_SCALE_BITS
vpmulhw xmm5, xmm5, [rel PW_F0707] ; xmm5=z3
vpmulhw xmm4, xmm2, [rel PW_F0541] ; xmm4=MULTIPLY(tmp10,FIX_0_541196)
vpsubw xmm2, xmm2, xmm0
vpmulhw xmm2, xmm2, [rel PW_F0382] ; xmm2=z5
vpmulhw xmm0, xmm0, [rel PW_F1306] ; xmm0=MULTIPLY(tmp12,FIX_1_306562)
vpaddw xmm4, xmm4, xmm2 ; xmm4=z2
vpaddw xmm0, xmm0, xmm2 ; xmm0=z4
vpsubw xmm6, xmm9, xmm5 ; xmm6=z13
vpaddw xmm3, xmm9, xmm5 ; xmm3=z11
vpaddw xmm2, xmm6, xmm4 ; xmm2=data5
vpaddw xmm5, xmm3, xmm0 ; xmm5=data1
vpsubw xmm6, xmm6, xmm4 ; xmm6=data3
vpsubw xmm3, xmm3, xmm0 ; xmm3=data7
; ---- Pass 2: process columns.
; xmm1=(00 10 20 30 40 50 60 70), xmm7=(02 12 22 32 42 52 62 72)
; xmm5=(01 11 21 31 41 51 61 71), xmm6=(03 13 23 33 43 53 63 73)
vpunpckhwd xmm4, xmm1, xmm5 ; xmm4=(40 41 50 51 60 61 70 71)
vpunpcklwd xmm1, xmm1, xmm5 ; xmm1=(00 01 10 11 20 21 30 31)
vpunpckhwd xmm9, xmm7, xmm6 ; xmm9=(42 43 52 53 62 63 72 73)
vpunpcklwd xmm8, xmm7, xmm6 ; xmm8=(02 03 12 13 22 23 32 33)
; xmm5=(04 14 24 34 44 54 64 74), xmm6=(06 16 26 36 46 56 66 76)
; xmm2=(05 15 25 35 45 55 65 75), xmm3=(07 17 27 37 47 57 67 77)
vpunpcklwd xmm5, xmm10, xmm2 ; xmm5=(04 05 14 15 24 25 34 35)
vpunpckhwd xmm7, xmm10, xmm2 ; xmm7=(44 45 54 55 64 65 74 75)
vpunpcklwd xmm6, xmm11, xmm3 ; xmm6=(06 07 16 17 26 27 36 37)
vpunpckhwd xmm0, xmm11, xmm3 ; xmm0=(46 47 56 57 66 67 76 77)
vpunpckhdq xmm10, xmm5, xmm6 ; xmm10=(24 25 26 27 34 35 36 37)
vpunpckldq xmm5, xmm5, xmm6 ; xmm5=(04 05 06 07 14 15 16 17)
vpunpckhdq xmm3, xmm7, xmm0 ; xmm3=(64 65 66 67 74 75 76 77)
vpunpckldq xmm11, xmm7, xmm0 ; xmm11=(44 45 46 47 54 55 56 57)
vpunpckhdq xmm2, xmm1, xmm8 ; xmm2=(20 21 22 23 30 31 32 33)
vpunpckldq xmm1, xmm1, xmm8 ; xmm1=(00 01 02 03 10 11 12 13)
vpunpckhdq xmm7, xmm4, xmm9 ; xmm7=(60 61 62 63 70 71 72 73)
vpunpckldq xmm4, xmm4, xmm9 ; xmm4=(40 41 42 43 50 51 52 53)
vpunpckhqdq xmm6, xmm1, xmm5 ; xmm6=(10 11 12 13 14 15 16 17)=data1
vpunpcklqdq xmm1, xmm1, xmm5 ; xmm1=(00 01 02 03 04 05 06 07)=data0
vpunpckhqdq xmm0, xmm7, xmm3 ; xmm0=(70 71 72 73 74 75 76 77)=data7
vpunpcklqdq xmm7, xmm7, xmm3 ; xmm7=(60 61 62 63 64 65 66 67)=data6
vpaddw xmm5, xmm6, xmm7 ; xmm5=data1+data6=tmp1
vpaddw xmm3, xmm1, xmm0 ; xmm3=data0+data7=tmp0
vpsubw xmm8, xmm6, xmm7 ; xmm6=data1-data6=tmp6
vpsubw xmm9, xmm1, xmm0 ; xmm1=data0-data7=tmp7
vpunpckhqdq xmm6, xmm2, xmm10 ; xmm6=(30 31 32 33 34 35 36 37)=data3
vpunpcklqdq xmm2, xmm2, xmm10 ; xmm2=(20 21 22 23 24 25 26 27)=data2
vpunpckhqdq xmm1, xmm4, xmm11 ; xmm1=(50 51 52 53 54 55 56 57)=data5
vpunpcklqdq xmm4, xmm4, xmm11 ; xmm4=(40 41 42 43 44 45 46 47)=data4
vpsubw xmm7, xmm6, xmm4 ; xmm7=data3-data4=tmp4
vpsubw xmm0, xmm2, xmm1 ; xmm0=data2-data5=tmp5
vpaddw xmm6, xmm6, xmm4 ; xmm6=data3+data4=tmp3
vpaddw xmm2, xmm2, xmm1 ; xmm2=data2+data5=tmp2
; -- Even part
vpaddw xmm4, xmm3, xmm6 ; xmm4=tmp10
vpaddw xmm1, xmm5, xmm2 ; xmm1=tmp11
vpsubw xmm3, xmm3, xmm6 ; xmm3=tmp13
vpsubw xmm5, xmm5, xmm2 ; xmm5=tmp12
vpaddw xmm5, xmm5, xmm3
vpsllw xmm5, xmm5, PRE_MULTIPLY_SCALE_BITS
vpmulhw xmm5, xmm5, [rel PW_F0707] ; xmm5=z1
vpaddw xmm6, xmm4, xmm1 ; xmm6=data0
vpaddw xmm2, xmm3, xmm5 ; xmm2=data2
vpsubw xmm4, xmm4, xmm1 ; xmm4=data4
vpsubw xmm3, xmm3, xmm5 ; xmm3=data6
movdqa XMMWORD [XMMBLOCK(4,0,rdx,SIZEOF_DCTELEM)], xmm4
movdqa XMMWORD [XMMBLOCK(6,0,rdx,SIZEOF_DCTELEM)], xmm3
movdqa XMMWORD [XMMBLOCK(0,0,rdx,SIZEOF_DCTELEM)], xmm6
movdqa XMMWORD [XMMBLOCK(2,0,rdx,SIZEOF_DCTELEM)], xmm2
; -- Odd part
vpaddw xmm7, xmm7, xmm0 ; xmm7=tmp10
vpaddw xmm0, xmm0, xmm8 ; xmm0=tmp11
vpaddw xmm1, xmm8, xmm9 ; xmm1=tmp12, xmm5=tmp7
vpsllw xmm7, xmm7, PRE_MULTIPLY_SCALE_BITS
vpsllw xmm1, xmm1, PRE_MULTIPLY_SCALE_BITS
vpsllw xmm0, xmm0, PRE_MULTIPLY_SCALE_BITS
vpmulhw xmm0, xmm0, [rel PW_F0707] ; xmm0=z3
vpmulhw xmm4, xmm7, [rel PW_F0541] ; xmm4=MULTIPLY(tmp10,FIX_0_541196)
vpsubw xmm7, xmm7, xmm1
vpmulhw xmm7, xmm7, [rel PW_F0382] ; xmm7=z5
vpmulhw xmm1, xmm1, [rel PW_F1306] ; xmm1=MULTIPLY(tmp12,FIX_1_306562)
vpaddw xmm4, xmm4, xmm7 ; xmm4=z2
vpaddw xmm1, xmm1, xmm7 ; xmm1=z4
vpsubw xmm5, xmm9, xmm0 ; xmm5=z13
vpaddw xmm3, xmm9, xmm0 ; xmm3=z11
vpaddw xmm6, xmm5, xmm4 ; xmm6=data5
vpaddw xmm2, xmm3, xmm1 ; xmm2=data1
vpsubw xmm5, xmm5, xmm4 ; xmm5=data3
vpsubw xmm3, xmm3, xmm1 ; xmm3=data7
movdqa XMMWORD [XMMBLOCK(3,0,rdx,SIZEOF_DCTELEM)], xmm5
movdqa XMMWORD [XMMBLOCK(7,0,rdx,SIZEOF_DCTELEM)], xmm3
movdqa XMMWORD [XMMBLOCK(5,0,rdx,SIZEOF_DCTELEM)], xmm6
movdqa XMMWORD [XMMBLOCK(1,0,rdx,SIZEOF_DCTELEM)], xmm2
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