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;
; jfdctfst.asm - fast integer FDCT (64-bit SSE2)
;
; Copyright 2009 Pierre Ossman <ossman@cendio.se> for Cendio AB
; Copyright (C) 2009, 2016, 2024, D. R. Commander.
; Copyright (C) 2023, Aliaksiej Kandracienka.
;
; 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 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.
%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_DATA(jconst_fdct_ifast_sse2)
EXTN(jconst_fdct_ifast_sse2):
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_sse2(DCTELEM *data)
;
; r10 = DCTELEM *data
%define wk(i) r15 - (WK_NUM - (i)) * SIZEOF_XMMWORD ; xmmword wk[WK_NUM]
%define WK_NUM 2
align 32
GLOBAL_FUNCTION(jsimd_fdct_ifast_sse2)
EXTN(jsimd_fdct_ifast_sse2):
ENDBR64
push rbp
mov rbp, rsp
push r15
and rsp, byte (-SIZEOF_XMMWORD) ; align to 128 bits
; Allocate stack space for wk array. r15 is used to access it.
mov r15, rsp
sub rsp, byte (SIZEOF_XMMWORD * WK_NUM)
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)
movdqa xmm4, xmm0 ; transpose coefficients(phase 1)
punpcklwd xmm0, xmm1 ; xmm0=(00 10 01 11 02 12 03 13)
punpckhwd xmm4, xmm1 ; xmm4=(04 14 05 15 06 16 07 17)
movdqa xmm5, xmm2 ; transpose coefficients(phase 1)
punpcklwd xmm2, xmm3 ; xmm2=(20 30 21 31 22 32 23 33)
punpckhwd xmm5, xmm3 ; xmm5=(24 34 25 35 26 36 27 37)
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=( 4 12 20 28 36 44 52 60), xmm1=( 6 14 22 30 38 46 54 62)
; xmm7=( 5 13 21 29 37 45 53 61), xmm3=( 7 15 23 31 39 47 55 63)
movdqa XMMWORD [wk(0)], xmm2 ; wk(0)=(20 30 21 31 22 32 23 33)
movdqa XMMWORD [wk(1)], xmm5 ; wk(1)=(24 34 25 35 26 36 27 37)
movdqa xmm2, xmm6 ; transpose coefficients(phase 1)
punpcklwd xmm6, xmm7 ; xmm6=(40 50 41 51 42 52 43 53)
punpckhwd xmm2, xmm7 ; xmm2=(44 54 45 55 46 56 47 57)
movdqa xmm5, xmm1 ; transpose coefficients(phase 1)
punpcklwd xmm1, xmm3 ; xmm1=(60 70 61 71 62 72 63 73)
punpckhwd xmm5, xmm3 ; xmm5=(64 74 65 75 66 76 67 77)
movdqa xmm7, xmm6 ; transpose coefficients(phase 2)
punpckldq xmm6, xmm1 ; xmm6=(40 50 60 70 41 51 61 71)
punpckhdq xmm7, xmm1 ; xmm7=(42 52 62 72 43 53 63 73)
movdqa xmm3, xmm2 ; transpose coefficients(phase 2)
punpckldq xmm2, xmm5 ; xmm2=(44 54 64 74 45 55 65 75)
punpckhdq xmm3, xmm5 ; xmm3=(46 56 66 76 47 57 67 77)
movdqa xmm1, XMMWORD [wk(0)] ; xmm1=(20 30 21 31 22 32 23 33)
movdqa xmm5, XMMWORD [wk(1)] ; xmm5=(24 34 25 35 26 36 27 37)
movdqa XMMWORD [wk(0)], xmm7 ; wk(0)=(42 52 62 72 43 53 63 73)
movdqa XMMWORD [wk(1)], xmm2 ; wk(1)=(44 54 64 74 45 55 65 75)
movdqa xmm7, xmm0 ; transpose coefficients(phase 2)
punpckldq xmm0, xmm1 ; xmm0=(00 10 20 30 01 11 21 31)
punpckhdq xmm7, xmm1 ; xmm7=(02 12 22 32 03 13 23 33)
movdqa xmm2, xmm4 ; transpose coefficients(phase 2)
punpckldq xmm4, xmm5 ; xmm4=(04 14 24 34 05 15 25 35)
punpckhdq xmm2, xmm5 ; xmm2=(06 16 26 36 07 17 27 37)
movdqa xmm1, xmm0 ; transpose coefficients(phase 3)
punpcklqdq xmm0, xmm6 ; xmm0=(00 10 20 30 40 50 60 70)=data0
punpckhqdq xmm1, xmm6 ; xmm1=(01 11 21 31 41 51 61 71)=data1
movdqa xmm5, xmm2 ; transpose coefficients(phase 3)
punpcklqdq xmm2, xmm3 ; xmm2=(06 16 26 36 46 56 66 76)=data6
punpckhqdq xmm5, xmm3 ; xmm5=(07 17 27 37 47 57 67 77)=data7
movdqa xmm6, xmm1
movdqa xmm3, xmm0
psubw xmm1, xmm2 ; xmm1=data1-data6=tmp6
psubw xmm0, xmm5 ; xmm0=data0-data7=tmp7
paddw xmm6, xmm2 ; xmm6=data1+data6=tmp1
paddw xmm3, xmm5 ; xmm3=data0+data7=tmp0
movdqa xmm2, XMMWORD [wk(0)] ; xmm2=(42 52 62 72 43 53 63 73)
movdqa xmm5, XMMWORD [wk(1)] ; xmm5=(44 54 64 74 45 55 65 75)
movdqa XMMWORD [wk(0)], xmm1 ; wk(0)=tmp6
movdqa XMMWORD [wk(1)], xmm0 ; wk(1)=tmp7
movdqa xmm1, xmm7 ; transpose coefficients(phase 3)
punpcklqdq xmm7, xmm2 ; xmm7=(02 12 22 32 42 52 62 72)=data2
punpckhqdq xmm1, xmm2 ; xmm1=(03 13 23 33 43 53 63 73)=data3
movdqa xmm0, xmm4 ; transpose coefficients(phase 3)
punpcklqdq xmm4, xmm5 ; xmm4=(04 14 24 34 44 54 64 74)=data4
punpckhqdq xmm0, xmm5 ; xmm0=(05 15 25 35 45 55 65 75)=data5
movdqa xmm2, xmm1
movdqa xmm5, xmm7
paddw xmm1, xmm4 ; xmm1=data3+data4=tmp3
paddw xmm7, xmm0 ; xmm7=data2+data5=tmp2
psubw xmm2, xmm4 ; xmm2=data3-data4=tmp4
psubw xmm5, xmm0 ; xmm5=data2-data5=tmp5
; -- Even part
movdqa xmm4, xmm3
movdqa xmm0, xmm6
psubw xmm3, xmm1 ; xmm3=tmp13
psubw xmm6, xmm7 ; xmm6=tmp12
paddw xmm4, xmm1 ; xmm4=tmp10
paddw xmm0, xmm7 ; xmm0=tmp11
paddw xmm6, xmm3
psllw xmm6, PRE_MULTIPLY_SCALE_BITS
pmulhw xmm6, [rel PW_F0707] ; xmm6=z1
movdqa xmm1, xmm4
movdqa xmm7, xmm3
psubw xmm4, xmm0 ; xmm4=data4
psubw xmm3, xmm6 ; xmm3=data6
paddw xmm1, xmm0 ; xmm1=data0
paddw xmm7, xmm6 ; xmm7=data2
movdqa xmm0, XMMWORD [wk(0)] ; xmm0=tmp6
movdqa xmm6, XMMWORD [wk(1)] ; xmm6=tmp7
movdqa XMMWORD [wk(0)], xmm4 ; wk(0)=data4
movdqa XMMWORD [wk(1)], xmm3 ; wk(1)=data6
; -- Odd part
paddw xmm2, xmm5 ; xmm2=tmp10
paddw xmm5, xmm0 ; xmm5=tmp11
paddw xmm0, xmm6 ; xmm0=tmp12, xmm6=tmp7
psllw xmm2, PRE_MULTIPLY_SCALE_BITS
psllw xmm0, PRE_MULTIPLY_SCALE_BITS
psllw xmm5, PRE_MULTIPLY_SCALE_BITS
pmulhw xmm5, [rel PW_F0707] ; xmm5=z3
movdqa xmm4, xmm2 ; xmm4=tmp10
psubw xmm2, xmm0
pmulhw xmm2, [rel PW_F0382] ; xmm2=z5
pmulhw xmm4, [rel PW_F0541] ; xmm4=MULTIPLY(tmp10,FIX_0_541196)
pmulhw xmm0, [rel PW_F1306] ; xmm0=MULTIPLY(tmp12,FIX_1_306562)
paddw xmm4, xmm2 ; xmm4=z2
paddw xmm0, xmm2 ; xmm0=z4
movdqa xmm3, xmm6
psubw xmm6, xmm5 ; xmm6=z13
paddw xmm3, xmm5 ; xmm3=z11
movdqa xmm2, xmm6
movdqa xmm5, xmm3
psubw xmm6, xmm4 ; xmm6=data3
psubw xmm3, xmm0 ; xmm3=data7
paddw xmm2, xmm4 ; xmm2=data5
paddw xmm5, xmm0 ; xmm5=data1
; ---- 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)
movdqa xmm4, xmm1 ; transpose coefficients(phase 1)
punpcklwd xmm1, xmm5 ; xmm1=(00 01 10 11 20 21 30 31)
punpckhwd xmm4, xmm5 ; xmm4=(40 41 50 51 60 61 70 71)
movdqa xmm0, xmm7 ; transpose coefficients(phase 1)
punpcklwd xmm7, xmm6 ; xmm7=(02 03 12 13 22 23 32 33)
punpckhwd xmm0, xmm6 ; xmm0=(42 43 52 53 62 63 72 73)
movdqa xmm5, XMMWORD [wk(0)] ; xmm5=col4
movdqa xmm6, XMMWORD [wk(1)] ; xmm6=col6
; 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)
movdqa XMMWORD [wk(0)], xmm7 ; wk(0)=(02 03 12 13 22 23 32 33)
movdqa XMMWORD [wk(1)], xmm0 ; wk(1)=(42 43 52 53 62 63 72 73)
movdqa xmm7, xmm5 ; transpose coefficients(phase 1)
punpcklwd xmm5, xmm2 ; xmm5=(04 05 14 15 24 25 34 35)
punpckhwd xmm7, xmm2 ; xmm7=(44 45 54 55 64 65 74 75)
movdqa xmm0, xmm6 ; transpose coefficients(phase 1)
punpcklwd xmm6, xmm3 ; xmm6=(06 07 16 17 26 27 36 37)
punpckhwd xmm0, xmm3 ; xmm0=(46 47 56 57 66 67 76 77)
movdqa xmm2, xmm5 ; transpose coefficients(phase 2)
punpckldq xmm5, xmm6 ; xmm5=(04 05 06 07 14 15 16 17)
punpckhdq xmm2, xmm6 ; xmm2=(24 25 26 27 34 35 36 37)
movdqa xmm3, xmm7 ; transpose coefficients(phase 2)
punpckldq xmm7, xmm0 ; xmm7=(44 45 46 47 54 55 56 57)
punpckhdq xmm3, xmm0 ; xmm3=(64 65 66 67 74 75 76 77)
movdqa xmm6, XMMWORD [wk(0)] ; xmm6=(02 03 12 13 22 23 32 33)
movdqa xmm0, XMMWORD [wk(1)] ; xmm0=(42 43 52 53 62 63 72 73)
movdqa XMMWORD [wk(0)], xmm2 ; wk(0)=(24 25 26 27 34 35 36 37)
movdqa XMMWORD [wk(1)], xmm7 ; wk(1)=(44 45 46 47 54 55 56 57)
movdqa xmm2, xmm1 ; transpose coefficients(phase 2)
punpckldq xmm1, xmm6 ; xmm1=(00 01 02 03 10 11 12 13)
punpckhdq xmm2, xmm6 ; xmm2=(20 21 22 23 30 31 32 33)
movdqa xmm7, xmm4 ; transpose coefficients(phase 2)
punpckldq xmm4, xmm0 ; xmm4=(40 41 42 43 50 51 52 53)
punpckhdq xmm7, xmm0 ; xmm7=(60 61 62 63 70 71 72 73)
movdqa xmm6, xmm1 ; transpose coefficients(phase 3)
punpcklqdq xmm1, xmm5 ; xmm1=(00 01 02 03 04 05 06 07)=data0
punpckhqdq xmm6, xmm5 ; xmm6=(10 11 12 13 14 15 16 17)=data1
movdqa xmm0, xmm7 ; transpose coefficients(phase 3)
punpcklqdq xmm7, xmm3 ; xmm7=(60 61 62 63 64 65 66 67)=data6
punpckhqdq xmm0, xmm3 ; xmm0=(70 71 72 73 74 75 76 77)=data7
movdqa xmm5, xmm6
movdqa xmm3, xmm1
psubw xmm6, xmm7 ; xmm6=data1-data6=tmp6
psubw xmm1, xmm0 ; xmm1=data0-data7=tmp7
paddw xmm5, xmm7 ; xmm5=data1+data6=tmp1
paddw xmm3, xmm0 ; xmm3=data0+data7=tmp0
movdqa xmm7, XMMWORD [wk(0)] ; xmm7=(24 25 26 27 34 35 36 37)
movdqa xmm0, XMMWORD [wk(1)] ; xmm0=(44 45 46 47 54 55 56 57)
movdqa XMMWORD [wk(0)], xmm6 ; wk(0)=tmp6
movdqa XMMWORD [wk(1)], xmm1 ; wk(1)=tmp7
movdqa xmm6, xmm2 ; transpose coefficients(phase 3)
punpcklqdq xmm2, xmm7 ; xmm2=(20 21 22 23 24 25 26 27)=data2
punpckhqdq xmm6, xmm7 ; xmm6=(30 31 32 33 34 35 36 37)=data3
movdqa xmm1, xmm4 ; transpose coefficients(phase 3)
punpcklqdq xmm4, xmm0 ; xmm4=(40 41 42 43 44 45 46 47)=data4
punpckhqdq xmm1, xmm0 ; xmm1=(50 51 52 53 54 55 56 57)=data5
movdqa xmm7, xmm6
movdqa xmm0, xmm2
paddw xmm6, xmm4 ; xmm6=data3+data4=tmp3
paddw xmm2, xmm1 ; xmm2=data2+data5=tmp2
psubw xmm7, xmm4 ; xmm7=data3-data4=tmp4
psubw xmm0, xmm1 ; xmm0=data2-data5=tmp5
; -- Even part
movdqa xmm4, xmm3
movdqa xmm1, xmm5
psubw xmm3, xmm6 ; xmm3=tmp13
psubw xmm5, xmm2 ; xmm5=tmp12
paddw xmm4, xmm6 ; xmm4=tmp10
paddw xmm1, xmm2 ; xmm1=tmp11
paddw xmm5, xmm3
psllw xmm5, PRE_MULTIPLY_SCALE_BITS
pmulhw xmm5, [rel PW_F0707] ; xmm5=z1
movdqa xmm6, xmm4
movdqa xmm2, xmm3
psubw xmm4, xmm1 ; xmm4=data4
psubw xmm3, xmm5 ; xmm3=data6
paddw xmm6, xmm1 ; xmm6=data0
paddw xmm2, xmm5 ; xmm2=data2
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
movdqa xmm1, XMMWORD [wk(0)] ; xmm1=tmp6
movdqa xmm5, XMMWORD [wk(1)] ; xmm5=tmp7
paddw xmm7, xmm0 ; xmm7=tmp10
paddw xmm0, xmm1 ; xmm0=tmp11
paddw xmm1, xmm5 ; xmm1=tmp12, xmm5=tmp7
psllw xmm7, PRE_MULTIPLY_SCALE_BITS
psllw xmm1, PRE_MULTIPLY_SCALE_BITS
psllw xmm0, PRE_MULTIPLY_SCALE_BITS
pmulhw xmm0, [rel PW_F0707] ; xmm0=z3
movdqa xmm4, xmm7 ; xmm4=tmp10
psubw xmm7, xmm1
pmulhw xmm7, [rel PW_F0382] ; xmm7=z5
pmulhw xmm4, [rel PW_F0541] ; xmm4=MULTIPLY(tmp10,FIX_0_541196)
pmulhw xmm1, [rel PW_F1306] ; xmm1=MULTIPLY(tmp12,FIX_1_306562)
paddw xmm4, xmm7 ; xmm4=z2
paddw xmm1, xmm7 ; xmm1=z4
movdqa xmm3, xmm5
psubw xmm5, xmm0 ; xmm5=z13
paddw xmm3, xmm0 ; xmm3=z11
movdqa xmm6, xmm5
movdqa xmm2, xmm3
psubw xmm5, xmm4 ; xmm5=data3
psubw xmm3, xmm1 ; xmm3=data7
paddw xmm6, xmm4 ; xmm6=data5
paddw xmm2, xmm1 ; xmm2=data1
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
lea rsp, [rbp-8]
pop r15
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