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/* | |
* FFT transform with Altivec optimizations | |
* Copyright (c) 2009 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 | |
* Foundation, Inc., 51 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, Altivec leaves intermediate results | |
* in blocks as convenient to the vector size. | |
* i.e. {4x real, 4x imaginary, 4x real, ...} | |
* | |
* I ignore standard calling convention. | |
* Instead, the following registers are treated as global constants: | |
* v14: zero | |
* v15..v18: cosines | |
* v19..v29: permutations | |
* r9: 16 | |
* r12: ff_cos_tabs | |
* and the rest are free for local use. | |
*/ | |
#include "config.h" | |
#if HAVE_GNU_AS && HAVE_ALTIVEC && HAVE_BIGENDIAN | |
#include "asm.S" | |
.text | |
.macro addi2 ra, imm // add 32-bit immediate | |
.if \imm & 0xffff | |
addi \ra, \ra, \imm@l | |
.endif | |
.if (\imm+0x8000)>>16 | |
addis \ra, \ra, \imm@ha | |
.endif | |
.endm | |
.macro FFT4 a0, a1, a2, a3 // in:0-1 out:2-3 | |
vperm \a2,\a0,\a1,v20 // vcprm(0,1,s2,s1) // {r0,i0,r3,i2} | |
vperm \a3,\a0,\a1,v21 // vcprm(2,3,s0,s3) // {r1,i1,r2,i3} | |
vaddfp \a0,\a2,\a3 // {t1,t2,t6,t5} | |
vsubfp \a1,\a2,\a3 // {t3,t4,t8,t7} | |
vmrghw \a2,\a0,\a1 // vcprm(0,s0,1,s1) // {t1,t3,t2,t4} | |
vperm \a3,\a0,\a1,v22 // vcprm(2,s3,3,s2) // {t6,t7,t5,t8} | |
vaddfp \a0,\a2,\a3 // {r0,r1,i0,i1} | |
vsubfp \a1,\a2,\a3 // {r2,r3,i2,i3} | |
vperm \a2,\a0,\a1,v23 // vcprm(0,1,s0,s1) // {r0,r1,r2,r3} | |
vperm \a3,\a0,\a1,v24 // vcprm(2,3,s2,s3) // {i0,i1,i2,i3} | |
.endm | |
.macro FFT4x2 a0, a1, b0, b1, a2, a3, b2, b3 | |
vperm \a2,\a0,\a1,v20 // vcprm(0,1,s2,s1) // {r0,i0,r3,i2} | |
vperm \a3,\a0,\a1,v21 // vcprm(2,3,s0,s3) // {r1,i1,r2,i3} | |
vperm \b2,\b0,\b1,v20 | |
vperm \b3,\b0,\b1,v21 | |
vaddfp \a0,\a2,\a3 // {t1,t2,t6,t5} | |
vsubfp \a1,\a2,\a3 // {t3,t4,t8,t7} | |
vaddfp \b0,\b2,\b3 | |
vsubfp \b1,\b2,\b3 | |
vmrghw \a2,\a0,\a1 // vcprm(0,s0,1,s1) // {t1,t3,t2,t4} | |
vperm \a3,\a0,\a1,v22 // vcprm(2,s3,3,s2) // {t6,t7,t5,t8} | |
vmrghw \b2,\b0,\b1 | |
vperm \b3,\b0,\b1,v22 | |
vaddfp \a0,\a2,\a3 // {r0,r1,i0,i1} | |
vsubfp \a1,\a2,\a3 // {r2,r3,i2,i3} | |
vaddfp \b0,\b2,\b3 | |
vsubfp \b1,\b2,\b3 | |
vperm \a2,\a0,\a1,v23 // vcprm(0,1,s0,s1) // {r0,r1,r2,r3} | |
vperm \a3,\a0,\a1,v24 // vcprm(2,3,s2,s3) // {i0,i1,i2,i3} | |
vperm \b2,\b0,\b1,v23 | |
vperm \b3,\b0,\b1,v24 | |
.endm | |
.macro FFT8 a0, a1, b0, b1, a2, a3, b2, b3, b4 // in,out:a0-b1 | |
vmrghw \b2,\b0,\b1 // vcprm(0,s0,1,s1) // {r4,r6,i4,i6} | |
vmrglw \b3,\b0,\b1 // vcprm(2,s2,3,s3) // {r5,r7,i5,i7} | |
vperm \a2,\a0,\a1,v20 // FFT4 ... | |
vperm \a3,\a0,\a1,v21 | |
vaddfp \b0,\b2,\b3 // {t1,t3,t2,t4} | |
vsubfp \b1,\b2,\b3 // {r5,r7,i5,i7} | |
vperm \b4,\b1,\b1,v25 // vcprm(2,3,0,1) // {i5,i7,r5,r7} | |
vaddfp \a0,\a2,\a3 | |
vsubfp \a1,\a2,\a3 | |
vmaddfp \b1,\b1,v17,v14 // * {-1,1,1,-1}/sqrt(2) | |
vmaddfp \b1,\b4,v18,\b1 // * { 1,1,1,1 }/sqrt(2) // {t8,ta,t7,t9} | |
vmrghw \a2,\a0,\a1 | |
vperm \a3,\a0,\a1,v22 | |
vperm \b2,\b0,\b1,v26 // vcprm(1,2,s3,s0) // {t3,t2,t9,t8} | |
vperm \b3,\b0,\b1,v27 // vcprm(0,3,s2,s1) // {t1,t4,t7,ta} | |
vaddfp \a0,\a2,\a3 | |
vsubfp \a1,\a2,\a3 | |
vaddfp \b0,\b2,\b3 // {t1,t2,t9,ta} | |
vsubfp \b1,\b2,\b3 // {t6,t5,tc,tb} | |
vperm \a2,\a0,\a1,v23 | |
vperm \a3,\a0,\a1,v24 | |
vperm \b2,\b0,\b1,v28 // vcprm(0,2,s1,s3) // {t1,t9,t5,tb} | |
vperm \b3,\b0,\b1,v29 // vcprm(1,3,s0,s2) // {t2,ta,t6,tc} | |
vsubfp \b0,\a2,\b2 // {r4,r5,r6,r7} | |
vsubfp \b1,\a3,\b3 // {i4,i5,i6,i7} | |
vaddfp \a0,\a2,\b2 // {r0,r1,r2,r3} | |
vaddfp \a1,\a3,\b3 // {i0,i1,i2,i3} | |
.endm | |
.macro BF d0,d1,s0,s1 | |
vsubfp \d1,\s0,\s1 | |
vaddfp \d0,\s0,\s1 | |
.endm | |
.macro zip d0,d1,s0,s1 | |
vmrghw \d0,\s0,\s1 | |
vmrglw \d1,\s0,\s1 | |
.endm | |
.macro def_fft4 interleave | |
fft4\interleave\()_altivec: | |
lvx v0, 0,r3 | |
lvx v1,r9,r3 | |
FFT4 v0,v1,v2,v3 | |
.ifnb \interleave | |
zip v0,v1,v2,v3 | |
stvx v0, 0,r3 | |
stvx v1,r9,r3 | |
.else | |
stvx v2, 0,r3 | |
stvx v3,r9,r3 | |
.endif | |
blr | |
.endm | |
.macro def_fft8 interleave | |
fft8\interleave\()_altivec: | |
addi r4,r3,32 | |
lvx v0, 0,r3 | |
lvx v1,r9,r3 | |
lvx v2, 0,r4 | |
lvx v3,r9,r4 | |
FFT8 v0,v1,v2,v3,v4,v5,v6,v7,v8 | |
.ifnb \interleave | |
zip v4,v5,v0,v1 | |
zip v6,v7,v2,v3 | |
stvx v4, 0,r3 | |
stvx v5,r9,r3 | |
stvx v6, 0,r4 | |
stvx v7,r9,r4 | |
.else | |
stvx v0, 0,r3 | |
stvx v1,r9,r3 | |
stvx v2, 0,r4 | |
stvx v3,r9,r4 | |
.endif | |
blr | |
.endm | |
.macro def_fft16 interleave | |
fft16\interleave\()_altivec: | |
addi r5,r3,64 | |
addi r6,r3,96 | |
addi r4,r3,32 | |
lvx v0, 0,r5 | |
lvx v1,r9,r5 | |
lvx v2, 0,r6 | |
lvx v3,r9,r6 | |
FFT4x2 v0,v1,v2,v3,v4,v5,v6,v7 | |
lvx v0, 0,r3 | |
lvx v1,r9,r3 | |
lvx v2, 0,r4 | |
lvx v3,r9,r4 | |
FFT8 v0,v1,v2,v3,v8,v9,v10,v11,v12 | |
vmaddfp v8,v4,v15,v14 // r2*wre | |
vmaddfp v9,v5,v15,v14 // i2*wre | |
vmaddfp v10,v6,v15,v14 // r3*wre | |
vmaddfp v11,v7,v15,v14 // i3*wre | |
vmaddfp v8,v5,v16,v8 // i2*wim | |
vnmsubfp v9,v4,v16,v9 // r2*wim | |
vnmsubfp v10,v7,v16,v10 // i3*wim | |
vmaddfp v11,v6,v16,v11 // r3*wim | |
BF v10,v12,v10,v8 | |
BF v11,v13,v9,v11 | |
BF v0,v4,v0,v10 | |
BF v3,v7,v3,v12 | |
BF v1,v5,v1,v11 | |
BF v2,v6,v2,v13 | |
.ifnb \interleave | |
zip v8, v9,v0,v1 | |
zip v10,v11,v2,v3 | |
zip v12,v13,v4,v5 | |
zip v14,v15,v6,v7 | |
stvx v8, 0,r3 | |
stvx v9,r9,r3 | |
stvx v10, 0,r4 | |
stvx v11,r9,r4 | |
stvx v12, 0,r5 | |
stvx v13,r9,r5 | |
stvx v14, 0,r6 | |
stvx v15,r9,r6 | |
.else | |
stvx v0, 0,r3 | |
stvx v4, 0,r5 | |
stvx v3,r9,r4 | |
stvx v7,r9,r6 | |
stvx v1,r9,r3 | |
stvx v5,r9,r5 | |
stvx v2, 0,r4 | |
stvx v6, 0,r6 | |
.endif | |
blr | |
.endm | |
// void pass(float *z, float *wre, int n) | |
.macro PASS interleave, suffix | |
fft_pass\suffix\()_altivec: | |
mtctr r5 | |
slwi r0,r5,4 | |
slwi r7,r5,6 // o2 | |
slwi r5,r5,5 // o1 | |
add r10,r5,r7 // o3 | |
add r0,r4,r0 // wim | |
addi r6,r5,16 // o1+16 | |
addi r8,r7,16 // o2+16 | |
addi r11,r10,16 // o3+16 | |
1: | |
lvx v8, 0,r4 // wre | |
lvx v10, 0,r0 // wim | |
sub r0,r0,r9 | |
lvx v9, 0,r0 | |
vperm v9,v9,v10,v19 // vcprm(s0,3,2,1) => wim[0 .. -3] | |
lvx v4,r3,r7 // r2 = z[o2] | |
lvx v5,r3,r8 // i2 = z[o2+16] | |
lvx v6,r3,r10 // r3 = z[o3] | |
lvx v7,r3,r11 // i3 = z[o3+16] | |
vmaddfp v10,v4,v8,v14 // r2*wre | |
vmaddfp v11,v5,v8,v14 // i2*wre | |
vmaddfp v12,v6,v8,v14 // r3*wre | |
vmaddfp v13,v7,v8,v14 // i3*wre | |
lvx v0, 0,r3 // r0 = z[0] | |
lvx v3,r3,r6 // i1 = z[o1+16] | |
vmaddfp v10,v5,v9,v10 // i2*wim | |
vnmsubfp v11,v4,v9,v11 // r2*wim | |
vnmsubfp v12,v7,v9,v12 // i3*wim | |
vmaddfp v13,v6,v9,v13 // r3*wim | |
lvx v1,r3,r9 // i0 = z[16] | |
lvx v2,r3,r5 // r1 = z[o1] | |
BF v12,v8,v12,v10 | |
BF v13,v9,v11,v13 | |
BF v0,v4,v0,v12 | |
BF v3,v7,v3,v8 | |
.if !\interleave | |
stvx v0, 0,r3 | |
stvx v4,r3,r7 | |
stvx v3,r3,r6 | |
stvx v7,r3,r11 | |
.endif | |
BF v1,v5,v1,v13 | |
BF v2,v6,v2,v9 | |
.if !\interleave | |
stvx v1,r3,r9 | |
stvx v2,r3,r5 | |
stvx v5,r3,r8 | |
stvx v6,r3,r10 | |
.else | |
vmrghw v8,v0,v1 | |
vmrglw v9,v0,v1 | |
stvx v8, 0,r3 | |
stvx v9,r3,r9 | |
vmrghw v8,v2,v3 | |
vmrglw v9,v2,v3 | |
stvx v8,r3,r5 | |
stvx v9,r3,r6 | |
vmrghw v8,v4,v5 | |
vmrglw v9,v4,v5 | |
stvx v8,r3,r7 | |
stvx v9,r3,r8 | |
vmrghw v8,v6,v7 | |
vmrglw v9,v6,v7 | |
stvx v8,r3,r10 | |
stvx v9,r3,r11 | |
.endif | |
addi r3,r3,32 | |
addi r4,r4,16 | |
bdnz 1b | |
sub r3,r3,r5 | |
blr | |
.endm | |
#define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ | |
#define WORD_0 0x00,0x01,0x02,0x03 | |
#define WORD_1 0x04,0x05,0x06,0x07 | |
#define WORD_2 0x08,0x09,0x0a,0x0b | |
#define WORD_3 0x0c,0x0d,0x0e,0x0f | |
#define WORD_s0 0x10,0x11,0x12,0x13 | |
#define WORD_s1 0x14,0x15,0x16,0x17 | |
#define WORD_s2 0x18,0x19,0x1a,0x1b | |
#define WORD_s3 0x1c,0x1d,0x1e,0x1f | |
#define vcprm(a, b, c, d) .byte WORD_##a, WORD_##b, WORD_##c, WORD_##d | |
.rodata | |
4 | |
fft_data: | |
.float 0, 0, 0, 0 | |
.float 1, 0.92387953, M_SQRT1_2, 0.38268343 | |
.float 0, 0.38268343, M_SQRT1_2, 0.92387953 | |
.float -M_SQRT1_2, M_SQRT1_2, M_SQRT1_2,-M_SQRT1_2 | |
.float M_SQRT1_2, M_SQRT1_2, M_SQRT1_2, M_SQRT1_2 | |
vcprm(s0,3,2,1) | |
vcprm(0,1,s2,s1) | |
vcprm(2,3,s0,s3) | |
vcprm(2,s3,3,s2) | |
vcprm(0,1,s0,s1) | |
vcprm(2,3,s2,s3) | |
vcprm(2,3,0,1) | |
vcprm(1,2,s3,s0) | |
vcprm(0,3,s2,s1) | |
vcprm(0,2,s1,s3) | |
vcprm(1,3,s0,s2) | |
.macro lvm b, r, regs:vararg | |
lvx \r, 0, \b | |
addi \b, \b, 16 | |
.ifnb \regs | |
lvm \b, \regs | |
.endm | |
.macro stvm b, r, regs:vararg | |
stvx \r, 0, \b | |
addi \b, \b, 16 | |
.ifnb \regs | |
stvm \b, \regs | |
.endm | |
.macro fft_calc interleave | |
extfunc ff_fft_calc\interleave\()_altivec | |
mflr r0 | |
stp r0, 2*PS(R(1)) | |
stpu r1, -(160+16*PS)(R(1)) | |
get_got r11 | |
addi r6, r1, 16*PS | |
stvm r6, v20, v21, v22, v23, v24, v25, v26, v27, v28, v29 | |
mfvrsave r0 | |
stw r0, 15*PS(R(1)) | |
#if __APPLE__ | |
li r6, 0xfffffffc | |
#else | |
li r6, -4 | |
#endif | |
mtvrsave r6 | |
movrel r6, fft_data, r11 | |
lvm r6, v14, v15, v16, v17, v18, v19, v20, v21 | |
lvm r6, v22, v23, v24, v25, v26, v27, v28, v29 | |
li r9, 16 | |
movrel r12, X(ff_cos_tabs), r11 | |
movrel r6, fft_dispatch_tab\interleave\()_altivec, r11 | |
lwz r3, 0(R(3)) | |
subi r3, r3, 2 | |
slwi r3, r3, 2+ARCH_PPC64 | |
lpx r3, r3, r6 | |
mtctr r3 | |
mr r3, r4 | |
bctrl | |
addi r6, r1, 16*PS | |
lvm r6, v20, v21, v22, v23, v24, v25, v26, v27, v28, v29 | |
lwz r6, 15*PS(R(1)) | |
mtvrsave r6 | |
lp r1, 0(R(1)) | |
lp r0, 2*PS(R(1)) | |
mtlr r0 | |
blr | |
.endm | |
.macro DECL_FFT suffix, bits, n, n2, n4 | |
fft\n\suffix\()_altivec: | |
mflr r0 | |
stp r0,PS*(\bits-3)(R(1)) | |
bl fft\n2\()_altivec | |
addi2 r3,\n*4 | |
bl fft\n4\()_altivec | |
addi2 r3,\n*2 | |
bl fft\n4\()_altivec | |
addi2 r3,\n*-6 | |
lp r0,PS*(\bits-3)(R(1)) | |
lp r4,\bits*PS(R(12)) | |
mtlr r0 | |
li r5,\n/16 | |
b fft_pass\suffix\()_altivec | |
.endm | |
.macro DECL_FFTS interleave, suffix | |
def_fft4 \suffix | |
def_fft8 \suffix | |
def_fft16 \suffix | |
PASS \interleave, \suffix | |
DECL_FFT \suffix, 5, 32, 16, 8 | |
DECL_FFT \suffix, 6, 64, 32, 16 | |
DECL_FFT \suffix, 7, 128, 64, 32 | |
DECL_FFT \suffix, 8, 256, 128, 64 | |
DECL_FFT \suffix, 9, 512, 256, 128 | |
DECL_FFT \suffix,10, 1024, 512, 256 | |
DECL_FFT \suffix,11, 2048, 1024, 512 | |
DECL_FFT \suffix,12, 4096, 2048, 1024 | |
DECL_FFT \suffix,13, 8192, 4096, 2048 | |
DECL_FFT \suffix,14,16384, 8192, 4096 | |
DECL_FFT \suffix,15,32768,16384, 8192 | |
DECL_FFT \suffix,16,65536,32768,16384 | |
fft_calc \suffix | |
.rodata | |
3 | |
fft_dispatch_tab\suffix\()_altivec: | |
PTR fft4\suffix\()_altivec | |
PTR fft8\suffix\()_altivec | |
PTR fft16\suffix\()_altivec | |
PTR fft32\suffix\()_altivec | |
PTR fft64\suffix\()_altivec | |
PTR fft128\suffix\()_altivec | |
PTR fft256\suffix\()_altivec | |
PTR fft512\suffix\()_altivec | |
PTR fft1024\suffix\()_altivec | |
PTR fft2048\suffix\()_altivec | |
PTR fft4096\suffix\()_altivec | |
PTR fft8192\suffix\()_altivec | |
PTR fft16384\suffix\()_altivec | |
PTR fft32768\suffix\()_altivec | |
PTR fft65536\suffix\()_altivec | |
.endm | |
DECL_FFTS 0 | |
DECL_FFTS 1, _interleave | |
#endif /* HAVE_GNU_AS && HAVE_ALTIVEC && HAVE_BIGENDIAN */ | |