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FFmpeg/libavcodec/x86/fft_mmx.asm
Loren Merritt 1ee076b1b1 more credits to D. J. Bernstein for fft 
Originally committed as revision 24308 to svn://svn.ffmpeg.org/ffmpeg/trunk
2010-07-18 20:06:42 +00:00

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NASM
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;******************************************************************************
;* FFT transform with SSE/3DNow optimizations
;* Copyright (c) 2008 Loren Merritt
;*
;* This algorithm (though not any of the implementation details) is
;* based on libdjbfft by D. J. Bernstein.
;*
;* This file is part of FFmpeg.
;*
;* FFmpeg is free software; you can redistribute it and/or
;* modify it under the terms of the GNU Lesser General Public
;* License as published by the Free Software Foundation; either
;* version 2.1 of the License, or (at your option) any later version.
;*
;* FFmpeg 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
;* Lesser General Public License for more details.
;*
;* You should have received a copy of the GNU Lesser General Public
;* License along with FFmpeg; if not, write to the Free Software
;* 51, Inc., Foundation Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
;******************************************************************************
; These functions are not individually interchangeable with the C versions.
; While C takes arrays of FFTComplex, SSE/3DNow leave intermediate results
; in blocks as conventient to the vector size.
; i.e. {4x real, 4x imaginary, 4x real, ...} (or 2x respectively)
%include "x86inc.asm"
SECTION_RODATA
%define M_SQRT1_2 0.70710678118654752440
ps_root2: times 4 dd M_SQRT1_2
ps_root2mppm: dd -M_SQRT1_2, M_SQRT1_2, M_SQRT1_2, -M_SQRT1_2
ps_m1p1: dd 1<<31, 0
%assign i 16
%rep 13
cextern cos_ %+ i
%assign i i<<1
%endrep
%ifdef ARCH_X86_64
%define pointer dq
%else
%define pointer dd
%endif
%macro IF0 1+
%endmacro
%macro IF1 1+
%1
%endmacro
section .text align=16
%macro T2_3DN 4 ; z0, z1, mem0, mem1
mova %1, %3
mova %2, %1
pfadd %1, %4
pfsub %2, %4
%endmacro
%macro T4_3DN 6 ; z0, z1, z2, z3, tmp0, tmp1
mova %5, %3
pfsub %3, %4
pfadd %5, %4 ; {t6,t5}
pxor %3, [ps_m1p1] ; {t8,t7}
mova %6, %1
pswapd %3, %3
pfadd %1, %5 ; {r0,i0}
pfsub %6, %5 ; {r2,i2}
mova %4, %2
pfadd %2, %3 ; {r1,i1}
pfsub %4, %3 ; {r3,i3}
SWAP %3, %6
%endmacro
; in: %1={r0,i0,r1,i1} %2={r2,i2,r3,i3}
; out: %1={r0,r1,r2,r3} %2={i0,i1,i2,i3}
%macro T4_SSE 3
mova %3, %1
shufps %1, %2, 0x64 ; {r0,i0,r3,i2}
shufps %3, %2, 0xce ; {r1,i1,r2,i3}
mova %2, %1
addps %1, %3 ; {t1,t2,t6,t5}
subps %2, %3 ; {t3,t4,t8,t7}
mova %3, %1
shufps %1, %2, 0x44 ; {t1,t2,t3,t4}
shufps %3, %2, 0xbe ; {t6,t5,t7,t8}
mova %2, %1
addps %1, %3 ; {r0,i0,r1,i1}
subps %2, %3 ; {r2,i2,r3,i3}
mova %3, %1
shufps %1, %2, 0x88 ; {r0,r1,r2,r3}
shufps %3, %2, 0xdd ; {i0,i1,i2,i3}
SWAP %2, %3
%endmacro
%macro T8_SSE 6 ; r0,i0,r1,i1,t0,t1
mova %5, %3
shufps %3, %4, 0x44 ; {r4,i4,r6,i6}
shufps %5, %4, 0xee ; {r5,i5,r7,i7}
mova %6, %3
subps %3, %5 ; {r5,i5,r7,i7}
addps %6, %5 ; {t1,t2,t3,t4}
mova %5, %3
shufps %5, %5, 0xb1 ; {i5,r5,i7,r7}
mulps %3, [ps_root2mppm] ; {-r5,i5,r7,-i7}
mulps %5, [ps_root2]
addps %3, %5 ; {t8,t7,ta,t9}
mova %5, %6
shufps %6, %3, 0x36 ; {t3,t2,t9,t8}
shufps %5, %3, 0x9c ; {t1,t4,t7,ta}
mova %3, %6
addps %6, %5 ; {t1,t2,t9,ta}
subps %3, %5 ; {t6,t5,tc,tb}
mova %5, %6
shufps %6, %3, 0xd8 ; {t1,t9,t5,tb}
shufps %5, %3, 0x8d ; {t2,ta,t6,tc}
mova %3, %1
mova %4, %2
addps %1, %6 ; {r0,r1,r2,r3}
addps %2, %5 ; {i0,i1,i2,i3}
subps %3, %6 ; {r4,r5,r6,r7}
subps %4, %5 ; {i4,i5,i6,i7}
%endmacro
; scheduled for cpu-bound sizes
%macro PASS_SMALL 3 ; (to load m4-m7), wre, wim
IF%1 mova m4, Z(4)
IF%1 mova m5, Z(5)
mova m0, %2 ; wre
mova m2, m4
mova m1, %3 ; wim
mova m3, m5
mulps m2, m0 ; r2*wre
IF%1 mova m6, Z(6)
mulps m3, m1 ; i2*wim
IF%1 mova m7, Z(7)
mulps m4, m1 ; r2*wim
mulps m5, m0 ; i2*wre
addps m2, m3 ; r2*wre + i2*wim
mova m3, m1
mulps m1, m6 ; r3*wim
subps m5, m4 ; i2*wre - r2*wim
mova m4, m0
mulps m3, m7 ; i3*wim
mulps m4, m6 ; r3*wre
mulps m0, m7 ; i3*wre
subps m4, m3 ; r3*wre - i3*wim
mova m3, Z(0)
addps m0, m1 ; i3*wre + r3*wim
mova m1, m4
addps m4, m2 ; t5
subps m1, m2 ; t3
subps m3, m4 ; r2
addps m4, Z(0) ; r0
mova m6, Z(2)
mova Z(4), m3
mova Z(0), m4
mova m3, m5
subps m5, m0 ; t4
mova m4, m6
subps m6, m5 ; r3
addps m5, m4 ; r1
mova Z(6), m6
mova Z(2), m5
mova m2, Z(3)
addps m3, m0 ; t6
subps m2, m1 ; i3
mova m7, Z(1)
addps m1, Z(3) ; i1
mova Z(7), m2
mova Z(3), m1
mova m4, m7
subps m7, m3 ; i2
addps m3, m4 ; i0
mova Z(5), m7
mova Z(1), m3
%endmacro
; scheduled to avoid store->load aliasing
%macro PASS_BIG 1 ; (!interleave)
mova m4, Z(4) ; r2
mova m5, Z(5) ; i2
mova m2, m4
mova m0, [wq] ; wre
mova m3, m5
mova m1, [wq+o1q] ; wim
mulps m2, m0 ; r2*wre
mova m6, Z(6) ; r3
mulps m3, m1 ; i2*wim
mova m7, Z(7) ; i3
mulps m4, m1 ; r2*wim
mulps m5, m0 ; i2*wre
addps m2, m3 ; r2*wre + i2*wim
mova m3, m1
mulps m1, m6 ; r3*wim
subps m5, m4 ; i2*wre - r2*wim
mova m4, m0
mulps m3, m7 ; i3*wim
mulps m4, m6 ; r3*wre
mulps m0, m7 ; i3*wre
subps m4, m3 ; r3*wre - i3*wim
mova m3, Z(0)
addps m0, m1 ; i3*wre + r3*wim
mova m1, m4
addps m4, m2 ; t5
subps m1, m2 ; t3
subps m3, m4 ; r2
addps m4, Z(0) ; r0
mova m6, Z(2)
mova Z(4), m3
mova Z(0), m4
mova m3, m5
subps m5, m0 ; t4
mova m4, m6
subps m6, m5 ; r3
addps m5, m4 ; r1
IF%1 mova Z(6), m6
IF%1 mova Z(2), m5
mova m2, Z(3)
addps m3, m0 ; t6
subps m2, m1 ; i3
mova m7, Z(1)
addps m1, Z(3) ; i1
IF%1 mova Z(7), m2
IF%1 mova Z(3), m1
mova m4, m7
subps m7, m3 ; i2
addps m3, m4 ; i0
IF%1 mova Z(5), m7
IF%1 mova Z(1), m3
%if %1==0
mova m4, m5 ; r1
mova m0, m6 ; r3
unpcklps m5, m1
unpckhps m4, m1
unpcklps m6, m2
unpckhps m0, m2
mova m1, Z(0)
mova m2, Z(4)
mova Z(2), m5
mova Z(3), m4
mova Z(6), m6
mova Z(7), m0
mova m5, m1 ; r0
mova m4, m2 ; r2
unpcklps m1, m3
unpckhps m5, m3
unpcklps m2, m7
unpckhps m4, m7
mova Z(0), m1
mova Z(1), m5
mova Z(4), m2
mova Z(5), m4
%endif
%endmacro
%macro PUNPCK 3
mova %3, %1
punpckldq %1, %2
punpckhdq %3, %2
%endmacro
INIT_XMM
%define mova movaps
%define Z(x) [r0+mmsize*x]
align 16
fft4_sse:
mova m0, Z(0)
mova m1, Z(1)
T4_SSE m0, m1, m2
mova Z(0), m0
mova Z(1), m1
ret
align 16
fft8_sse:
mova m0, Z(0)
mova m1, Z(1)
T4_SSE m0, m1, m2
mova m2, Z(2)
mova m3, Z(3)
T8_SSE m0, m1, m2, m3, m4, m5
mova Z(0), m0
mova Z(1), m1
mova Z(2), m2
mova Z(3), m3
ret
align 16
fft16_sse:
mova m0, Z(0)
mova m1, Z(1)
T4_SSE m0, m1, m2
mova m2, Z(2)
mova m3, Z(3)
T8_SSE m0, m1, m2, m3, m4, m5
mova m4, Z(4)
mova m5, Z(5)
mova Z(0), m0
mova Z(1), m1
mova Z(2), m2
mova Z(3), m3
T4_SSE m4, m5, m6
mova m6, Z(6)
mova m7, Z(7)
T4_SSE m6, m7, m0
PASS_SMALL 0, [cos_16], [cos_16+16]
ret
INIT_MMX
%macro FFT48_3DN 1
align 16
fft4%1:
T2_3DN m0, m1, Z(0), Z(1)
mova m2, Z(2)
mova m3, Z(3)
T4_3DN m0, m1, m2, m3, m4, m5
PUNPCK m0, m1, m4
PUNPCK m2, m3, m5
mova Z(0), m0
mova Z(1), m4
mova Z(2), m2
mova Z(3), m5
ret
align 16
fft8%1:
T2_3DN m0, m1, Z(0), Z(1)
mova m2, Z(2)
mova m3, Z(3)
T4_3DN m0, m1, m2, m3, m4, m5
mova Z(0), m0
mova Z(2), m2
T2_3DN m4, m5, Z(4), Z(5)
T2_3DN m6, m7, Z(6), Z(7)
pswapd m0, m5
pswapd m2, m7
pxor m0, [ps_m1p1]
pxor m2, [ps_m1p1]
pfsub m5, m0
pfadd m7, m2
pfmul m5, [ps_root2]
pfmul m7, [ps_root2]
T4_3DN m1, m3, m5, m7, m0, m2
mova Z(5), m5
mova Z(7), m7
mova m0, Z(0)
mova m2, Z(2)
T4_3DN m0, m2, m4, m6, m5, m7
PUNPCK m0, m1, m5
PUNPCK m2, m3, m7
mova Z(0), m0
mova Z(1), m5
mova Z(2), m2
mova Z(3), m7
PUNPCK m4, Z(5), m5
PUNPCK m6, Z(7), m7
mova Z(4), m4
mova Z(5), m5
mova Z(6), m6
mova Z(7), m7
ret
%endmacro
FFT48_3DN _3dn2
%macro pswapd 2
%ifidn %1, %2
movd [r0+12], %1
punpckhdq %1, [r0+8]
%else
movq %1, %2
psrlq %1, 32
punpckldq %1, %2
%endif
%endmacro
FFT48_3DN _3dn
%define Z(x) [zq + o1q*(x&6)*((x/6)^1) + o3q*(x/6) + mmsize*(x&1)]
%macro DECL_PASS 2+ ; name, payload
align 16
%1:
DEFINE_ARGS z, w, n, o1, o3
lea o3q, [nq*3]
lea o1q, [nq*8]
shl o3q, 4
.loop:
%2
add zq, mmsize*2
add wq, mmsize
sub nd, mmsize/8
jg .loop
rep ret
%endmacro
INIT_XMM
%define mova movaps
DECL_PASS pass_sse, PASS_BIG 1
DECL_PASS pass_interleave_sse, PASS_BIG 0
INIT_MMX
%define mulps pfmul
%define addps pfadd
%define subps pfsub
%define unpcklps punpckldq
%define unpckhps punpckhdq
DECL_PASS pass_3dn, PASS_SMALL 1, [wq], [wq+o1q]
DECL_PASS pass_interleave_3dn, PASS_BIG 0
%define pass_3dn2 pass_3dn
%define pass_interleave_3dn2 pass_interleave_3dn
%ifdef PIC
%define SECTION_REL - $$
%else
%define SECTION_REL
%endif
%macro DECL_FFT 2-3 ; nbits, cpu, suffix
%xdefine list_of_fft fft4%2 SECTION_REL, fft8%2 SECTION_REL
%if %1==5
%xdefine list_of_fft list_of_fft, fft16%2 SECTION_REL
%endif
%assign n 1<<%1
%rep 17-%1
%assign n2 n/2
%assign n4 n/4
%xdefine list_of_fft list_of_fft, fft %+ n %+ %3%2 SECTION_REL
align 16
fft %+ n %+ %3%2:
call fft %+ n2 %+ %2
add r0, n*4 - (n&(-2<<%1))
call fft %+ n4 %+ %2
add r0, n*2 - (n2&(-2<<%1))
call fft %+ n4 %+ %2
sub r0, n*6 + (n2&(-2<<%1))
lea r1, [cos_ %+ n]
mov r2d, n4/2
jmp pass%3%2
%assign n n*2
%endrep
%undef n
align 8
dispatch_tab%3%2: pointer list_of_fft
section .text
; On x86_32, this function does the register saving and restoring for all of fft.
; The others pass args in registers and don't spill anything.
cglobal fft_dispatch%3%2, 2,5,8, z, nbits
lea r2, [dispatch_tab%3%2]
mov r2, [r2 + (nbitsq-2)*gprsize]
%ifdef PIC
lea r3, [$$]
add r2, r3
%endif
call r2
RET
%endmacro ; DECL_FFT
DECL_FFT 5, _sse
DECL_FFT 5, _sse, _interleave
DECL_FFT 4, _3dn
DECL_FFT 4, _3dn, _interleave
DECL_FFT 4, _3dn2
DECL_FFT 4, _3dn2, _interleave
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