📄 skl_fdct_sse2.asm
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;/****************************************************************************
; *
; * XVID MPEG-4 VIDEO CODEC
; * - SSE2 forward discrete cosine transform -
; *
; * Copyright(C) 2003 Pascal Massimino <skal@planet-d.net>
; *
; * This program is free software; you can redistribute it and/or modify it
; * under the terms of the GNU General Public License as published by
; * the Free Software Foundation; either version 2 of the License, or
; * (at your option) any later version.
; *
; * This program is distributed in the hope that it will be useful,
; * but WITHOUT ANY WARRANTY; without even the implied warranty of
; * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
; * GNU General Public License for more details.
; *
; * You should have received a copy of the GNU General Public License
; * along with this program; if not, write to the Free Software
; * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
; *
; ***************************************************************************/
%include "skl_nasm.h"
;-----------------------------------------------------------------------------
;
; -=FDCT=-
;
; Vertical pass is an implementation of the scheme:
; Loeffler C., Ligtenberg A., and Moschytz C.S.:
; Practical Fast 1D DCT Algorithm with Eleven Multiplications,
; Proc. ICASSP 1989, 988-991.
;
; Horizontal pass is a double 4x4 vector/matrix multiplication,
; (see also Intel's Application Note 922:
; http://developer.intel.com/vtune/cbts/strmsimd/922down.htm
; Copyright (C) 1999 Intel Corporation)
;
; Notes:
; * tan(3pi/16) is greater than 0.5, and would use the
; sign bit when turned into 16b fixed-point precision. So,
; we use the trick: x*tan3 = x*(tan3-1)+x
;
; * There's only one SSE-specific instruction (pshufw).
;
; * There's still 1 or 2 ticks to save in fLLM_PASS, but
; I prefer having a readable code, instead of a tightly
; scheduled one...
;
; * Quantization stage (as well as pre-transposition for the
; idct way back) can be included in the fTab* constants
; (with induced loss of precision, somehow)
;
; * Some more details at: http://skal.planet-d.net/coding/dct.html
;
;-----------------------------------------------------------------------------
;
; -=IDCT=-
;
; A little slower than fdct, because the final stages (butterflies and
; descaling) require some unpairable shifting and packing, all on
; the same CPU unit.
;
;-----------------------------------------------------------------------------
;=============================================================================
; Read only data
;=============================================================================
%ifdef FORMAT_COFF
SECTION .data data
%else
SECTION .data data align=16
%endif
ALIGN 16
tan1: times 8 dw 0x32ec ; tan( pi/16)
tan2: times 8 dw 0x6a0a ; tan(2pi/16) (=sqrt(2)-1)
tan3: times 8 dw 0xab0e ; tan(3pi/16)-1
sqrt2: times 8 dw 0x5a82 ; 0.5/sqrt(2)
;-----------------------------------------------------------------------------
; Inverse DCT tables
;-----------------------------------------------------------------------------
align 16
iTab1:
dw 0x4000, 0x539f, 0x4000, 0x22a3
dw 0x4000, 0xdd5d, 0x4000, 0xac61
dw 0x4000, 0x22a3, 0xc000, 0xac61
dw 0xc000, 0x539f, 0x4000, 0xdd5d
dw 0x58c5, 0x4b42, 0x4b42, 0xee58
dw 0x3249, 0xa73b, 0x11a8, 0xcdb7
dw 0x3249, 0x11a8, 0xa73b, 0xcdb7
dw 0x11a8, 0x4b42, 0x4b42, 0xa73b
iTab2:
dw 0x58c5, 0x73fc, 0x58c5, 0x300b
dw 0x58c5, 0xcff5, 0x58c5, 0x8c04
dw 0x58c5, 0x300b, 0xa73b, 0x8c04
dw 0xa73b, 0x73fc, 0x58c5, 0xcff5
dw 0x7b21, 0x6862, 0x6862, 0xe782
dw 0x45bf, 0x84df, 0x187e, 0xba41
dw 0x45bf, 0x187e, 0x84df, 0xba41
dw 0x187e, 0x6862, 0x6862, 0x84df
iTab3:
dw 0x539f, 0x6d41, 0x539f, 0x2d41
dw 0x539f, 0xd2bf, 0x539f, 0x92bf
dw 0x539f, 0x2d41, 0xac61, 0x92bf
dw 0xac61, 0x6d41, 0x539f, 0xd2bf
dw 0x73fc, 0x6254, 0x6254, 0xe8ee
dw 0x41b3, 0x8c04, 0x1712, 0xbe4d
dw 0x41b3, 0x1712, 0x8c04, 0xbe4d
dw 0x1712, 0x6254, 0x6254, 0x8c04
iTab4:
dw 0x4b42, 0x6254, 0x4b42, 0x28ba
dw 0x4b42, 0xd746, 0x4b42, 0x9dac
dw 0x4b42, 0x28ba, 0xb4be, 0x9dac
dw 0xb4be, 0x6254, 0x4b42, 0xd746
dw 0x6862, 0x587e, 0x587e, 0xeb3d
dw 0x3b21, 0x979e, 0x14c3, 0xc4df
dw 0x3b21, 0x14c3, 0x979e, 0xc4df
dw 0x14c3, 0x587e, 0x587e, 0x979e
align 16
Walken_Idct_Rounders:
dd 65536, 65536, 65536, 65536
dd 3597, 3597, 3597, 3597
dd 2260, 2260, 2260, 2260
dd 1203, 1203, 1203, 1203
dd 0, 0, 0, 0
dd 120, 120, 120, 120
dd 512, 512, 512, 512
dd 512, 512, 512, 512
times 8 dw (65536>>11)
times 8 dw ( 3597>>11)
times 8 dw ( 2260>>11)
; other rounders are zero...
;-----------------------------------------------------------------------------
; Forward DCT tables
;-----------------------------------------------------------------------------
ALIGN 16
fTab1:
dw 0x4000, 0x4000, 0x58c5, 0x4b42,
dw 0xdd5d, 0xac61, 0xa73b, 0xcdb7,
dw 0x4000, 0x4000, 0x3249, 0x11a8,
dw 0x539f, 0x22a3, 0x4b42, 0xee58,
dw 0x4000, 0xc000, 0x3249, 0xa73b,
dw 0x539f, 0xdd5d, 0x4b42, 0xa73b,
dw 0xc000, 0x4000, 0x11a8, 0x4b42,
dw 0x22a3, 0xac61, 0x11a8, 0xcdb7
fTab2:
dw 0x58c5, 0x58c5, 0x7b21, 0x6862,
dw 0xcff5, 0x8c04, 0x84df, 0xba41,
dw 0x58c5, 0x58c5, 0x45bf, 0x187e,
dw 0x73fc, 0x300b, 0x6862, 0xe782,
dw 0x58c5, 0xa73b, 0x45bf, 0x84df,
dw 0x73fc, 0xcff5, 0x6862, 0x84df,
dw 0xa73b, 0x58c5, 0x187e, 0x6862,
dw 0x300b, 0x8c04, 0x187e, 0xba41
fTab3:
dw 0x539f, 0x539f, 0x73fc, 0x6254,
dw 0xd2bf, 0x92bf, 0x8c04, 0xbe4d,
dw 0x539f, 0x539f, 0x41b3, 0x1712,
dw 0x6d41, 0x2d41, 0x6254, 0xe8ee,
dw 0x539f, 0xac61, 0x41b3, 0x8c04,
dw 0x6d41, 0xd2bf, 0x6254, 0x8c04,
dw 0xac61, 0x539f, 0x1712, 0x6254,
dw 0x2d41, 0x92bf, 0x1712, 0xbe4d
fTab4:
dw 0x4b42, 0x4b42, 0x6862, 0x587e,
dw 0xd746, 0x9dac, 0x979e, 0xc4df,
dw 0x4b42, 0x4b42, 0x3b21, 0x14c3,
dw 0x6254, 0x28ba, 0x587e, 0xeb3d,
dw 0x4b42, 0xb4be, 0x3b21, 0x979e,
dw 0x6254, 0xd746, 0x587e, 0x979e,
dw 0xb4be, 0x4b42, 0x14c3, 0x587e,
dw 0x28ba, 0x9dac, 0x14c3, 0xc4df
ALIGN 16
Fdct_Rnd0: dw 6,8,8,8, 6,8,8,8
Fdct_Rnd1: dw 8,8,8,8, 8,8,8,8
Fdct_Rnd2: dw 10,8,8,8, 8,8,8,8
Rounder1: dw 1,1,1,1, 1,1,1,1
;=============================================================================
; Code
;=============================================================================
SECTION .text
globl idct_sse2_skal
globl fdct_sse2_skal
;-----------------------------------------------------------------------------
; Helper macro iMTX_MULT
;-----------------------------------------------------------------------------
%macro iMTX_MULT 4 ; %1=src, %2 = Table to use, %3=rounder, %4=Shift
movdqa xmm0, [ecx+%1*16] ; xmm0 = [01234567]
pshuflw xmm0, xmm0, 11011000b ; [02134567] ; these two shufflings could be
pshufhw xmm0, xmm0, 11011000b ; [02134657] ; integrated in zig-zag orders
pshufd xmm4, xmm0, 00000000b ; [02020202]
pshufd xmm5, xmm0, 10101010b ; [46464646]
pshufd xmm6, xmm0, 01010101b ; [13131313]
pshufd xmm7, xmm0, 11111111b ; [57575757]
pmaddwd xmm4, [%2+ 0] ; dot [M00,M01][M04,M05][M08,M09][M12,M13]
pmaddwd xmm5, [%2+16] ; dot [M02,M03][M06,M07][M10,M11][M14,M15]
pmaddwd xmm6, [%2+32] ; dot [M16,M17][M20,M21][M24,M25][M28,M29]
pmaddwd xmm7, [%2+48] ; dot [M18,M19][M22,M23][M26,M27][M30,M31]
paddd xmm4, [%3] ; Round
paddd xmm6, xmm7 ; [b0|b1|b2|b3]
paddd xmm4, xmm5 ; [a0|a1|a2|a3]
movdqa xmm7, xmm6
paddd xmm6, xmm4 ; mm6=a+b
psubd xmm4, xmm7 ; mm4=a-b
psrad xmm6, %4 ; => out [0123]
psrad xmm4, %4 ; => out [7654]
packssdw xmm6, xmm4 ; [01237654]
pshufhw xmm6, xmm6, 00011011b ; [01234567]
movdqa [ecx+%1*16], xmm6
%endmacro
;-----------------------------------------------------------------------------
; Helper macro iLLM_PASS
;-----------------------------------------------------------------------------
%macro iLLM_PASS 1 ; %1: src/dst
movdqa xmm0, [tan3] ; t3-1
movdqa xmm3, [%1+16*3] ; x3
movdqa xmm1, xmm0 ; t3-1
movdqa xmm5, [%1+16*5] ; x5
movdqa xmm4, [tan1] ; t1
movdqa xmm6, [%1+16*1] ; x1
movdqa xmm7, [%1+16*7] ; x7
movdqa xmm2, xmm4 ; t1
pmulhw xmm0, xmm3 ; x3*(t3-1)
pmulhw xmm1, xmm5 ; x5*(t3-1)
paddsw xmm0, xmm3 ; x3*t3
paddsw xmm1, xmm5 ; x5*t3
psubsw xmm0, xmm5 ; x3*t3-x5 = tm35
paddsw xmm1, xmm3 ; x3+x5*t3 = tp35
pmulhw xmm4, xmm7 ; x7*t1
pmulhw xmm2, xmm6 ; x1*t1
paddsw xmm4, xmm6 ; x1+t1*x7 = tp17
psubsw xmm2, xmm7 ; x1*t1-x7 = tm17
movdqa xmm3, [sqrt2]
movdqa xmm7, xmm4
movdqa xmm6, xmm2
psubsw xmm4, xmm1 ; tp17-tp35 = t1
psubsw xmm2, xmm0 ; tm17-tm35 = b3
paddsw xmm1, xmm7 ; tp17+tp35 = b0
paddsw xmm0, xmm6 ; tm17+tm35 = t2
; xmm1 = b0, xmm2 = b3. preserved
movdqa xmm6, xmm4
psubsw xmm4, xmm0 ; t1-t2
paddsw xmm0, xmm6 ; t1+t2
pmulhw xmm4, xmm3 ; (t1-t2)/(2.sqrt2)
pmulhw xmm0, xmm3 ; (t1+t2)/(2.sqrt2)
paddsw xmm0, xmm0 ; 2.(t1+t2) = b1
paddsw xmm4, xmm4 ; 2.(t1-t2) = b2
movdqa xmm7, [tan2] ; t2
movdqa xmm3, [%1+2*16] ; x2
movdqa xmm6, [%1+6*16] ; x6
movdqa xmm5, xmm7 ; t2
pmulhw xmm7, xmm6 ; x6*t2
pmulhw xmm5, xmm3 ; x2*t2
paddsw xmm7, xmm3 ; x2+x6*t2 = tp26
psubsw xmm5, xmm6 ; x2*t2-x6 = tm26
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