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;
; Floating-point FDCT (32-bit SSE)
;
; Copyright 2009 Pierre Ossman <ossman@cendio.se> for Cendio AB
; Copyright (C) 2016, 2024-2025, 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 floating-point implementation of the forward DCT
; (Discrete Cosine Transform). The following code is based directly on the
; IJG's original jfdctflt.c; see jfdctflt.c for more details.
%include "jsimdext.inc"
%include "jdct.inc"
; --------------------------------------------------------------------------
%macro unpcklps2 2 ; %1 = (0 1 2 3) / %2 = (4 5 6 7) => %1 = (0 1 4 5)
shufps %1, %2, 0x44
%endmacro
%macro unpckhps2 2 ; %1 = (0 1 2 3) / %2 = (4 5 6 7) => %1 = (2 3 6 7)
shufps %1, %2, 0xEE
%endmacro
; --------------------------------------------------------------------------
SECTION SEG_CONST
ALIGNZ 32
GLOBAL_DATA(jconst_fdct_float_sse)
EXTN(jconst_fdct_float_sse):
PD_0_382 times 4 dd 0.382683432365089771728460
PD_0_707 times 4 dd 0.707106781186547524400844
PD_0_541 times 4 dd 0.541196100146196984399723
PD_1_306 times 4 dd 1.306562964876376527856643
ALIGNZ 32
; --------------------------------------------------------------------------
SECTION SEG_TEXT
BITS 32
; Perform the forward DCT on one block of samples.
;
; GLOBAL(void)
; jsimd_fdct_float_sse(FAST_FLOAT *data)
%define data(b) (b) + 8 ; FAST_FLOAT *data
%define original_ebp ebp + 0
%define wk(i) ebp - (WK_NUM - (i)) * SIZEOF_XMMWORD
; xmmword wk[WK_NUM]
%define WK_NUM 2
align 32
GLOBAL_FUNCTION(jsimd_fdct_float_sse)
EXTN(jsimd_fdct_float_sse):
push ebp
mov eax, esp ; eax = original ebp
sub esp, byte 4
and esp, byte (-SIZEOF_XMMWORD) ; align to 128 bits
mov [esp], eax
mov ebp, esp ; ebp = aligned ebp
lea esp, [wk(0)]
PUSHPIC ebx
; push ecx ; need not be preserved
; push edx ; need not be preserved
; push esi ; unused
; push edi ; unused
GET_GOT ebx ; get GOT address
; ---- Pass 1: process rows.
mov edx, POINTER [data(eax)] ; (FAST_FLOAT *)
mov ecx, DCTSIZE / 4
ALIGNX 16, 7
.rowloop:
movaps xmm0, XMMWORD [XMMBLOCK(2, 0, edx, SIZEOF_FAST_FLOAT)]
movaps xmm1, XMMWORD [XMMBLOCK(3, 0, edx, SIZEOF_FAST_FLOAT)]
movaps xmm2, XMMWORD [XMMBLOCK(2, 1, edx, SIZEOF_FAST_FLOAT)]
movaps xmm3, XMMWORD [XMMBLOCK(3, 1, edx, SIZEOF_FAST_FLOAT)]
; xmm0 = (20 21 22 23)
; xmm2 = (24 25 26 27)
; xmm1 = (30 31 32 33)
; xmm3 = (34 35 36 37)
movaps xmm4, xmm0 ; transpose coefficients(phase 1)
unpcklps xmm0, xmm1 ; xmm0 = (20 30 21 31)
unpckhps xmm4, xmm1 ; xmm4 = (22 32 23 33)
movaps xmm5, xmm2 ; transpose coefficients(phase 1)
unpcklps xmm2, xmm3 ; xmm2 = (24 34 25 35)
unpckhps xmm5, xmm3 ; xmm5 = (26 36 27 37)
movaps xmm6, XMMWORD [XMMBLOCK(0, 0, edx, SIZEOF_FAST_FLOAT)]
movaps xmm7, XMMWORD [XMMBLOCK(1, 0, edx, SIZEOF_FAST_FLOAT)]
movaps xmm1, XMMWORD [XMMBLOCK(0, 1, edx, SIZEOF_FAST_FLOAT)]
movaps xmm3, XMMWORD [XMMBLOCK(1, 1, edx, SIZEOF_FAST_FLOAT)]
; xmm6 = (00 01 02 03)
; xmm1 = (04 05 06 07)
; xmm7 = (10 11 12 13)
; xmm3 = (14 15 16 17)
movaps XMMWORD [wk(0)], xmm4 ; wk(0) = (22 32 23 33)
movaps XMMWORD [wk(1)], xmm2 ; wk(1) = (24 34 25 35)
movaps xmm4, xmm6 ; transpose coefficients(phase 1)
unpcklps xmm6, xmm7 ; xmm6 = (00 10 01 11)
unpckhps xmm4, xmm7 ; xmm4 = (02 12 03 13)
movaps xmm2, xmm1 ; transpose coefficients(phase 1)
unpcklps xmm1, xmm3 ; xmm1 = (04 14 05 15)
unpckhps xmm2, xmm3 ; xmm2 = (06 16 07 17)
movaps xmm7, xmm6 ; transpose coefficients(phase 2)
unpcklps2 xmm6, xmm0 ; xmm6 = (00 10 20 30) = data0
unpckhps2 xmm7, xmm0 ; xmm7 = (01 11 21 31) = data1
movaps xmm3, xmm2 ; transpose coefficients(phase 2)
unpcklps2 xmm2, xmm5 ; xmm2 = (06 16 26 36) = data6
unpckhps2 xmm3, xmm5 ; xmm3 = (07 17 27 37) = data7
movaps xmm0, xmm7
movaps xmm5, xmm6
subps xmm7, xmm2 ; xmm7 = data1 - data6 = tmp6
subps xmm6, xmm3 ; xmm6 = data0 - data7 = tmp7
addps xmm0, xmm2 ; xmm0 = data1 + data6 = tmp1
addps xmm5, xmm3 ; xmm5 = data0 + data7 = tmp0
movaps xmm2, XMMWORD [wk(0)] ; xmm2 = (22 32 23 33)
movaps xmm3, XMMWORD [wk(1)] ; xmm3 = (24 34 25 35)
movaps XMMWORD [wk(0)], xmm7 ; wk(0) = tmp6
movaps XMMWORD [wk(1)], xmm6 ; wk(1) = tmp7
movaps xmm7, xmm4 ; transpose coefficients(phase 2)
unpcklps2 xmm4, xmm2 ; xmm4 = (02 12 22 32) = data2
unpckhps2 xmm7, xmm2 ; xmm7 = (03 13 23 33) = data3
movaps xmm6, xmm1 ; transpose coefficients(phase 2)
unpcklps2 xmm1, xmm3 ; xmm1 = (04 14 24 34) = data4
unpckhps2 xmm6, xmm3 ; xmm6 = (05 15 25 35) = data5
movaps xmm2, xmm7
movaps xmm3, xmm4
addps xmm7, xmm1 ; xmm7 = data3 + data4 = tmp3
addps xmm4, xmm6 ; xmm4 = data2 + data5 = tmp2
subps xmm2, xmm1 ; xmm2 = data3 - data4 = tmp4
subps xmm3, xmm6 ; xmm3 = data2 - data5 = tmp5
; -- Even part
movaps xmm1, xmm5
movaps xmm6, xmm0
subps xmm5, xmm7 ; xmm5 = tmp13
subps xmm0, xmm4 ; xmm0 = tmp12
addps xmm1, xmm7 ; xmm1 = tmp10
addps xmm6, xmm4 ; xmm6 = tmp11
addps xmm0, xmm5
mulps xmm0, [GOTOFF(ebx, PD_0_707)] ; xmm0 = z1
movaps xmm7, xmm1
movaps xmm4, xmm5
subps xmm1, xmm6 ; xmm1 = data4
subps xmm5, xmm0 ; xmm5 = data6
addps xmm7, xmm6 ; xmm7 = data0
addps xmm4, xmm0 ; xmm4 = data2
movaps XMMWORD [XMMBLOCK(0, 1, edx, SIZEOF_FAST_FLOAT)], xmm1
movaps XMMWORD [XMMBLOCK(2, 1, edx, SIZEOF_FAST_FLOAT)], xmm5
movaps XMMWORD [XMMBLOCK(0, 0, edx, SIZEOF_FAST_FLOAT)], xmm7
movaps XMMWORD [XMMBLOCK(2, 0, edx, SIZEOF_FAST_FLOAT)], xmm4
; -- Odd part
movaps xmm6, XMMWORD [wk(0)] ; xmm6 = tmp6
movaps xmm0, XMMWORD [wk(1)] ; xmm0 = tmp7
addps xmm2, xmm3 ; xmm2 = tmp10
addps xmm3, xmm6 ; xmm3 = tmp11
addps xmm6, xmm0 ; xmm6 = tmp12, xmm0 = tmp7
mulps xmm3, [GOTOFF(ebx, PD_0_707)] ; xmm3 = z3
movaps xmm1, xmm2 ; xmm1 = tmp10
subps xmm2, xmm6
mulps xmm2, [GOTOFF(ebx, PD_0_382)] ; xmm2 = z5
mulps xmm1, [GOTOFF(ebx, PD_0_541)]
; xmm1 = MULTIPLY(tmp10, FIX_0_541196)
mulps xmm6, [GOTOFF(ebx, PD_1_306)]
; xmm6 = MULTIPLY(tmp12, FIX_1_306562)
addps xmm1, xmm2 ; xmm1 = z2
addps xmm6, xmm2 ; xmm6 = z4
movaps xmm5, xmm0
subps xmm0, xmm3 ; xmm0 = z13
addps xmm5, xmm3 ; xmm5 = z11
movaps xmm7, xmm0
movaps xmm4, xmm5
subps xmm0, xmm1 ; xmm0 = data3
subps xmm5, xmm6 ; xmm5 = data7
addps xmm7, xmm1 ; xmm7 = data5
addps xmm4, xmm6 ; xmm4 = data1
movaps XMMWORD [XMMBLOCK(3, 0, edx, SIZEOF_FAST_FLOAT)], xmm0
movaps XMMWORD [XMMBLOCK(3, 1, edx, SIZEOF_FAST_FLOAT)], xmm5
movaps XMMWORD [XMMBLOCK(1, 1, edx, SIZEOF_FAST_FLOAT)], xmm7
movaps XMMWORD [XMMBLOCK(1, 0, edx, SIZEOF_FAST_FLOAT)], xmm4
add edx, 4 * DCTSIZE * SIZEOF_FAST_FLOAT
dec ecx
jnz near .rowloop
; ---- Pass 2: process columns.
mov edx, POINTER [data(eax)] ; (FAST_FLOAT *)
mov ecx, DCTSIZE / 4
ALIGNX 16, 7
.columnloop:
movaps xmm0, XMMWORD [XMMBLOCK(2, 0, edx, SIZEOF_FAST_FLOAT)]
movaps xmm1, XMMWORD [XMMBLOCK(3, 0, edx, SIZEOF_FAST_FLOAT)]
movaps xmm2, XMMWORD [XMMBLOCK(6, 0, edx, SIZEOF_FAST_FLOAT)]
movaps xmm3, XMMWORD [XMMBLOCK(7, 0, edx, SIZEOF_FAST_FLOAT)]
; xmm0 = (02 12 22 32)
; xmm2 = (42 52 62 72)
; xmm1 = (03 13 23 33)
; xmm3 = (43 53 63 73)
movaps xmm4, xmm0 ; transpose coefficients(phase 1)
unpcklps xmm0, xmm1 ; xmm0 = (02 03 12 13)
unpckhps xmm4, xmm1 ; xmm4 = (22 23 32 33)
movaps xmm5, xmm2 ; transpose coefficients(phase 1)
unpcklps xmm2, xmm3 ; xmm2 = (42 43 52 53)
unpckhps xmm5, xmm3 ; xmm5 = (62 63 72 73)
movaps xmm6, XMMWORD [XMMBLOCK(0, 0, edx, SIZEOF_FAST_FLOAT)]
movaps xmm7, XMMWORD [XMMBLOCK(1, 0, edx, SIZEOF_FAST_FLOAT)]
movaps xmm1, XMMWORD [XMMBLOCK(4, 0, edx, SIZEOF_FAST_FLOAT)]
movaps xmm3, XMMWORD [XMMBLOCK(5, 0, edx, SIZEOF_FAST_FLOAT)]
; xmm6 = (00 10 20 30)
; xmm1 = (40 50 60 70)
; xmm7 = (01 11 21 31)
; xmm3 = (41 51 61 71)
movaps XMMWORD [wk(0)], xmm4 ; wk(0) = (22 23 32 33)
movaps XMMWORD [wk(1)], xmm2 ; wk(1) = (42 43 52 53)
movaps xmm4, xmm6 ; transpose coefficients(phase 1)
unpcklps xmm6, xmm7 ; xmm6 = (00 01 10 11)
unpckhps xmm4, xmm7 ; xmm4 = (20 21 30 31)
movaps xmm2, xmm1 ; transpose coefficients(phase 1)
unpcklps xmm1, xmm3 ; xmm1 = (40 41 50 51)
unpckhps xmm2, xmm3 ; xmm2 = (60 61 70 71)
movaps xmm7, xmm6 ; transpose coefficients(phase 2)
unpcklps2 xmm6, xmm0 ; xmm6 = (00 01 02 03) = data0
unpckhps2 xmm7, xmm0 ; xmm7 = (10 11 12 13) = data1
movaps xmm3, xmm2 ; transpose coefficients(phase 2)
unpcklps2 xmm2, xmm5 ; xmm2 = (60 61 62 63) = data6
unpckhps2 xmm3, xmm5 ; xmm3 = (70 71 72 73) = data7
movaps xmm0, xmm7
movaps xmm5, xmm6
subps xmm7, xmm2 ; xmm7 = data1 - data6 = tmp6
subps xmm6, xmm3 ; xmm6 = data0 - data7 = tmp7
addps xmm0, xmm2 ; xmm0 = data1 + data6 = tmp1
addps xmm5, xmm3 ; xmm5 = data0 + data7 = tmp0
movaps xmm2, XMMWORD [wk(0)] ; xmm2 = (22 23 32 33)
movaps xmm3, XMMWORD [wk(1)] ; xmm3 = (42 43 52 53)
movaps XMMWORD [wk(0)], xmm7 ; wk(0) = tmp6
movaps XMMWORD [wk(1)], xmm6 ; wk(1) = tmp7
movaps xmm7, xmm4 ; transpose coefficients(phase 2)
unpcklps2 xmm4, xmm2 ; xmm4 = (20 21 22 23) = data2
unpckhps2 xmm7, xmm2 ; xmm7 = (30 31 32 33) = data3
movaps xmm6, xmm1 ; transpose coefficients(phase 2)
unpcklps2 xmm1, xmm3 ; xmm1 = (40 41 42 43) = data4
unpckhps2 xmm6, xmm3 ; xmm6 = (50 51 52 53) = data5
movaps xmm2, xmm7
movaps xmm3, xmm4
addps xmm7, xmm1 ; xmm7 = data3 + data4 = tmp3
addps xmm4, xmm6 ; xmm4 = data2 + data5 = tmp2
subps xmm2, xmm1 ; xmm2 = data3 - data4 = tmp4
subps xmm3, xmm6 ; xmm3 = data2 - data5 = tmp5
; -- Even part
movaps xmm1, xmm5
movaps xmm6, xmm0
subps xmm5, xmm7 ; xmm5 = tmp13
subps xmm0, xmm4 ; xmm0 = tmp12
addps xmm1, xmm7 ; xmm1 = tmp10
addps xmm6, xmm4 ; xmm6 = tmp11
addps xmm0, xmm5
mulps xmm0, [GOTOFF(ebx, PD_0_707)] ; xmm0 = z1
movaps xmm7, xmm1
movaps xmm4, xmm5
subps xmm1, xmm6 ; xmm1 = data4
subps xmm5, xmm0 ; xmm5 = data6
addps xmm7, xmm6 ; xmm7 = data0
addps xmm4, xmm0 ; xmm4 = data2
movaps XMMWORD [XMMBLOCK(4, 0, edx, SIZEOF_FAST_FLOAT)], xmm1
movaps XMMWORD [XMMBLOCK(6, 0, edx, SIZEOF_FAST_FLOAT)], xmm5
movaps XMMWORD [XMMBLOCK(0, 0, edx, SIZEOF_FAST_FLOAT)], xmm7
movaps XMMWORD [XMMBLOCK(2, 0, edx, SIZEOF_FAST_FLOAT)], xmm4
; -- Odd part
movaps xmm6, XMMWORD [wk(0)] ; xmm6 = tmp6
movaps xmm0, XMMWORD [wk(1)] ; xmm0 = tmp7
addps xmm2, xmm3 ; xmm2 = tmp10
addps xmm3, xmm6 ; xmm3 = tmp11
addps xmm6, xmm0 ; xmm6 = tmp12, xmm0 = tmp7
mulps xmm3, [GOTOFF(ebx, PD_0_707)] ; xmm3 = z3
movaps xmm1, xmm2 ; xmm1 = tmp10
subps xmm2, xmm6
mulps xmm2, [GOTOFF(ebx, PD_0_382)] ; xmm2 = z5
mulps xmm1, [GOTOFF(ebx, PD_0_541)]
; xmm1 = MULTIPLY(tmp10, FIX_0_541196)
mulps xmm6, [GOTOFF(ebx, PD_1_306)]
; xmm6 = MULTIPLY(tmp12, FIX_1_306562)
addps xmm1, xmm2 ; xmm1 = z2
addps xmm6, xmm2 ; xmm6 = z4
movaps xmm5, xmm0
subps xmm0, xmm3 ; xmm0 = z13
addps xmm5, xmm3 ; xmm5 = z11
movaps xmm7, xmm0
movaps xmm4, xmm5
subps xmm0, xmm1 ; xmm0 = data3
subps xmm5, xmm6 ; xmm5 = data7
addps xmm7, xmm1 ; xmm7 = data5
addps xmm4, xmm6 ; xmm4 = data1
movaps XMMWORD [XMMBLOCK(3, 0, edx, SIZEOF_FAST_FLOAT)], xmm0
movaps XMMWORD [XMMBLOCK(7, 0, edx, SIZEOF_FAST_FLOAT)], xmm5
movaps XMMWORD [XMMBLOCK(5, 0, edx, SIZEOF_FAST_FLOAT)], xmm7
movaps XMMWORD [XMMBLOCK(1, 0, edx, SIZEOF_FAST_FLOAT)], xmm4
add edx, byte 4 * SIZEOF_FAST_FLOAT
dec ecx
jnz near .columnloop
; pop edi ; unused
; pop esi ; unused
; pop edx ; need not be preserved
; pop ecx ; need not be preserved
POPPIC ebx
mov esp, ebp ; esp <- aligned ebp
pop esp ; esp <- original ebp
pop ebp
ret
; For some reason, the OS X linker does not honor the request to align the
; segment unless we do this.
align 32