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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 Libav.
;*
;* Libav 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.
;*
;* Libav 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 Libav; 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"
%ifdef ARCH_X86_64
%define pointer resq
%else
%define pointer resd
%endif
struc FFTContext
.nbits: resd 1
.reverse: resd 1
.revtab: pointer 1
.tmpbuf: pointer 1
.mdctsize: resd 1
.mdctbits: resd 1
.tcos: pointer 1
.tsin: pointer 1
endstruc
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_p1p1m1p1: dd 0, 0, 1<<31, 0
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,r2,i2} %2={r1,i1,r3,i3}
; out: %1={r0,r1,r2,r3} %2={i0,i1,i2,i3}
%macro T4_SSE 3
mova %3, %1
addps %1, %2 ; {t1,t2,t6,t5}
subps %3, %2 ; {t3,t4,-t8,t7}
xorps %3, [ps_p1p1m1p1]
mova %2, %1
shufps %1, %3, 0x44 ; {t1,t2,t3,t4}
shufps %2, %3, 0xbe ; {t6,t5,t7,t8}
mova %3, %1
addps %1, %2 ; {r0,i0,r1,i1}
subps %3, %2 ; {r2,i2,r3,i3}
mova %2, %1
shufps %1, %3, 0x88 ; {r0,r1,r2,r3}
shufps %2, %3, 0xdd ; {i0,i1,i2,i3}
%endmacro
; in: %1={r0,r1,r2,r3} %2={i0,i1,i2,i3} %3={r4,i4,r6,i6} %4={r5,i5,r7,i7}
; out: %1={r0,r1,r2,r3} %2={i0,i1,i2,i3} %1={r4,r5,r6,r7} %2={i4,i5,i6,i7}
%macro T8_SSE 6
mova %6, %3
subps %3, %4 ; {r5,i5,r7,i7}
addps %6, %4 ; {t1,t2,t3,t4}
mova %4, %3
shufps %4, %4, 0xb1 ; {i5,r5,i7,r7}
mulps %3, [ps_root2mppm] ; {-r5,i5,r7,-i7}
mulps %4, [ps_root2]
addps %3, %4 ; {t8,t7,ta,t9}
mova %4, %6
shufps %6, %3, 0x36 ; {t3,t2,t9,t8}
shufps %4, %3, 0x9c ; {t1,t4,t7,ta}
mova %3, %6
addps %6, %4 ; {t1,t2,t9,ta}
subps %3, %4 ; {t6,t5,tc,tb}
mova %4, %6
shufps %6, %3, 0xd8 ; {t1,t9,t5,tb}
shufps %4, %3, 0x8d ; {t2,ta,t6,tc}
mova %3, %1
mova %5, %2
addps %1, %6 ; {r0,r1,r2,r3}
addps %2, %4 ; {i0,i1,i2,i3}
subps %3, %6 ; {r4,r5,r6,r7}
subps %5, %4 ; {i4,i5,i6,i7}
SWAP %4, %5
%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, Z2(6)
mulps m3, m1 ; i2*wim
IF%1 mova m7, Z2(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 Z2(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 Z2(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, Z2(6) ; r3
mulps m3, m1 ; i2*wim
mova m7, Z2(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 Z2(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 Z2(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 Z2(6), m6
mova Z2(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]
%define Z2(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, Z2(6)
mova m7, Z2(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, Z2(6), Z2(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 Z2(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, Z2(7), m7
mova Z(4), m4
mova Z(5), m5
mova Z2(6), m6
mova Z2(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) + mmsize*(x&1)]
%define Z2(x) [zq + o3q + 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 - $$
%else
%define SECTION_REL
%endif
%macro FFT_DISPATCH 2; clobbers 5 GPRs, 8 XMMs
lea r2, [dispatch_tab%1]
mov r2, [r2 + (%2q-2)*gprsize]
%ifdef PIC
lea r3, [$$]
add r2, r3
%endif
call r2
%endmacro ; FFT_DISPATCH
%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
FFT_DISPATCH %3%2, nbits
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
INIT_XMM
%undef mulps
%undef addps
%undef subps
%undef unpcklps
%undef unpckhps
%macro PREROTATER 5 ;-2*k, 2*k, input+n4, tcos+n8, tsin+n8
movaps xmm0, [%3+%2*4]
movaps xmm1, [%3+%1*4-0x10]
movaps xmm2, xmm0
shufps xmm0, xmm1, 0x88
shufps xmm1, xmm2, 0x77
movlps xmm4, [%4+%2*2]
movlps xmm5, [%5+%2*2+0x0]
movhps xmm4, [%4+%1*2-0x8]
movhps xmm5, [%5+%1*2-0x8]
movaps xmm2, xmm0
movaps xmm3, xmm1
mulps xmm0, xmm5
mulps xmm1, xmm4
mulps xmm2, xmm4
mulps xmm3, xmm5
subps xmm1, xmm0
addps xmm2, xmm3
movaps xmm0, xmm1
unpcklps xmm1, xmm2
unpckhps xmm0, xmm2
%endmacro
%macro CMUL 6 ;j, xmm0, xmm1, 3, 4, 5
movaps xmm6, [%4+%1*2]
movaps %2, [%4+%1*2+0x10]
movaps %3, xmm6
movaps xmm7, %2
mulps xmm6, [%5+%1]
mulps %2, [%6+%1]
mulps %3, [%6+%1]
mulps xmm7, [%5+%1]
subps %2, xmm6
addps %3, xmm7
%endmacro
%macro POSROTATESHUF 5 ;j, k, z+n8, tcos+n8, tsin+n8
.post:
CMUL %1, xmm0, xmm1, %3, %4, %5
CMUL %2, xmm4, xmm5, %3, %4, %5
shufps xmm1, xmm1, 0x1b
shufps xmm5, xmm5, 0x1b
movaps xmm6, xmm4
unpckhps xmm4, xmm1
unpcklps xmm6, xmm1
movaps xmm2, xmm0
unpcklps xmm0, xmm5
unpckhps xmm2, xmm5
movaps [%3+%2*2], xmm6
movaps [%3+%2*2+0x10], xmm4
movaps [%3+%1*2], xmm0
movaps [%3+%1*2+0x10], xmm2
sub %2, 0x10
add %1, 0x10
jl .post
%endmacro
cglobal imdct_half_sse, 3,7,8; FFTContext *s, FFTSample *output, const FFTSample *input
%ifdef ARCH_X86_64
%define rrevtab r10
%define rtcos r11
%define rtsin r12
push r12
push r13
push r14
%else
%define rrevtab r6
%define rtsin r6
%define rtcos r5
%endif
mov r3d, [r0+FFTContext.mdctsize]
add r2, r3
shr r3, 1
mov rtcos, [r0+FFTContext.tcos]
mov rtsin, [r0+FFTContext.tsin]
add rtcos, r3
add rtsin, r3
%ifndef ARCH_X86_64
push rtcos
push rtsin
%endif
shr r3, 1
mov rrevtab, [r0+FFTContext.revtab]
add rrevtab, r3
%ifndef ARCH_X86_64
push rrevtab
%endif
sub r3, 4
%ifdef ARCH_X86_64
xor r4, r4
sub r4, r3
%endif
.pre:
%ifndef ARCH_X86_64
;unspill
xor r4, r4
sub r4, r3
mov rtsin, [esp+4]
mov rtcos, [esp+8]
%endif
PREROTATER r4, r3, r2, rtcos, rtsin
%ifdef ARCH_X86_64
movzx r5, word [rrevtab+r4-4]
movzx r6, word [rrevtab+r4-2]
movzx r13, word [rrevtab+r3]
movzx r14, word [rrevtab+r3+2]
movlps [r1+r5 *8], xmm0
movhps [r1+r6 *8], xmm0
movlps [r1+r13*8], xmm1
movhps [r1+r14*8], xmm1
add r4, 4
%else
mov r6, [esp]
movzx r5, word [r6+r4-4]
movzx r4, word [r6+r4-2]
movlps [r1+r5*8], xmm0
movhps [r1+r4*8], xmm0
movzx r5, word [r6+r3]
movzx r4, word [r6+r3+2]
movlps [r1+r5*8], xmm1
movhps [r1+r4*8], xmm1
%endif
sub r3, 4
jns .pre
mov r5, r0
mov r6, r1
mov r0, r1
mov r1d, [r5+FFTContext.nbits]
FFT_DISPATCH _sse, r1
mov r0d, [r5+FFTContext.mdctsize]
add r6, r0
shr r0, 1
%ifndef ARCH_X86_64
%define rtcos r2
%define rtsin r3
mov rtcos, [esp+8]
mov rtsin, [esp+4]
%endif
neg r0
mov r1, -16
sub r1, r0
POSROTATESHUF r0, r1, r6, rtcos, rtsin
%ifdef ARCH_X86_64
pop r14
pop r13
pop r12
%else
add esp, 12
%endif
RET