2010-07-02 02:21:39 +03:00
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/*
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* FFT transform with Altivec optimizations
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* Copyright (c) 2009 Loren Merritt
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*
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2010-07-18 23:06:42 +03:00
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* This algorithm (though not any of the implementation details) is
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* based on libdjbfft by D. J. Bernstein.
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*
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2010-07-02 02:21:39 +03:00
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* This file is part of FFmpeg.
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*
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* FFmpeg is free software; you can redistribute it and/or
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* modify it under the terms of the GNU Lesser General Public
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* License as published by the Free Software Foundation; either
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* version 2.1 of the License, or (at your option) any later version.
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*
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* FFmpeg is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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* Lesser General Public License for more details.
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*
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* You should have received a copy of the GNU Lesser General Public
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* License along with FFmpeg; if not, write to the Free Software
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* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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*/
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/*
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* These functions are not individually interchangeable with the C versions.
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* While C takes arrays of FFTComplex, Altivec leaves intermediate results
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* in blocks as convenient to the vector size.
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* i.e. {4x real, 4x imaginary, 4x real, ...}
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*
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* I ignore standard calling convention.
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* Instead, the following registers are treated as global constants:
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* v14: zero
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* v15..v18: cosines
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* v19..v29: permutations
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* r9: 16
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* r12: ff_cos_tabs
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* and the rest are free for local use.
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*/
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#include "config.h"
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#include "asm.S"
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.text
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.macro addi2 ra, imm // add 32-bit immediate
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.if \imm & 0xffff
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addi \ra, \ra, \imm@l
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.endif
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.if (\imm+0x8000)>>16
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addis \ra, \ra, \imm@ha
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.endif
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.endm
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.macro FFT4 a0, a1, a2, a3 // in:0-1 out:2-3
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vperm \a2,\a0,\a1,v20 // vcprm(0,1,s2,s1) // {r0,i0,r3,i2}
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vperm \a3,\a0,\a1,v21 // vcprm(2,3,s0,s3) // {r1,i1,r2,i3}
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vaddfp \a0,\a2,\a3 // {t1,t2,t6,t5}
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vsubfp \a1,\a2,\a3 // {t3,t4,t8,t7}
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vmrghw \a2,\a0,\a1 // vcprm(0,s0,1,s1) // {t1,t3,t2,t4}
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vperm \a3,\a0,\a1,v22 // vcprm(2,s3,3,s2) // {t6,t7,t5,t8}
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vaddfp \a0,\a2,\a3 // {r0,r1,i0,i1}
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vsubfp \a1,\a2,\a3 // {r2,r3,i2,i3}
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vperm \a2,\a0,\a1,v23 // vcprm(0,1,s0,s1) // {r0,r1,r2,r3}
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vperm \a3,\a0,\a1,v24 // vcprm(2,3,s2,s3) // {i0,i1,i2,i3}
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.endm
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.macro FFT4x2 a0, a1, b0, b1, a2, a3, b2, b3
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vperm \a2,\a0,\a1,v20 // vcprm(0,1,s2,s1) // {r0,i0,r3,i2}
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vperm \a3,\a0,\a1,v21 // vcprm(2,3,s0,s3) // {r1,i1,r2,i3}
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vperm \b2,\b0,\b1,v20
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vperm \b3,\b0,\b1,v21
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vaddfp \a0,\a2,\a3 // {t1,t2,t6,t5}
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vsubfp \a1,\a2,\a3 // {t3,t4,t8,t7}
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vaddfp \b0,\b2,\b3
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vsubfp \b1,\b2,\b3
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vmrghw \a2,\a0,\a1 // vcprm(0,s0,1,s1) // {t1,t3,t2,t4}
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vperm \a3,\a0,\a1,v22 // vcprm(2,s3,3,s2) // {t6,t7,t5,t8}
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vmrghw \b2,\b0,\b1
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vperm \b3,\b0,\b1,v22
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vaddfp \a0,\a2,\a3 // {r0,r1,i0,i1}
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vsubfp \a1,\a2,\a3 // {r2,r3,i2,i3}
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vaddfp \b0,\b2,\b3
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vsubfp \b1,\b2,\b3
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vperm \a2,\a0,\a1,v23 // vcprm(0,1,s0,s1) // {r0,r1,r2,r3}
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vperm \a3,\a0,\a1,v24 // vcprm(2,3,s2,s3) // {i0,i1,i2,i3}
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vperm \b2,\b0,\b1,v23
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vperm \b3,\b0,\b1,v24
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.endm
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.macro FFT8 a0, a1, b0, b1, a2, a3, b2, b3, b4 // in,out:a0-b1
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vmrghw \b2,\b0,\b1 // vcprm(0,s0,1,s1) // {r4,r6,i4,i6}
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vmrglw \b3,\b0,\b1 // vcprm(2,s2,3,s3) // {r5,r7,i5,i7}
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vperm \a2,\a0,\a1,v20 // FFT4 ...
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vperm \a3,\a0,\a1,v21
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vaddfp \b0,\b2,\b3 // {t1,t3,t2,t4}
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vsubfp \b1,\b2,\b3 // {r5,r7,i5,i7}
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vperm \b4,\b1,\b1,v25 // vcprm(2,3,0,1) // {i5,i7,r5,r7}
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vaddfp \a0,\a2,\a3
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vsubfp \a1,\a2,\a3
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vmaddfp \b1,\b1,v17,v14 // * {-1,1,1,-1}/sqrt(2)
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vmaddfp \b1,\b4,v18,\b1 // * { 1,1,1,1 }/sqrt(2) // {t8,ta,t7,t9}
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vmrghw \a2,\a0,\a1
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vperm \a3,\a0,\a1,v22
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vperm \b2,\b0,\b1,v26 // vcprm(1,2,s3,s0) // {t3,t2,t9,t8}
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vperm \b3,\b0,\b1,v27 // vcprm(0,3,s2,s1) // {t1,t4,t7,ta}
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vaddfp \a0,\a2,\a3
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vsubfp \a1,\a2,\a3
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vaddfp \b0,\b2,\b3 // {t1,t2,t9,ta}
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vsubfp \b1,\b2,\b3 // {t6,t5,tc,tb}
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vperm \a2,\a0,\a1,v23
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vperm \a3,\a0,\a1,v24
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vperm \b2,\b0,\b1,v28 // vcprm(0,2,s1,s3) // {t1,t9,t5,tb}
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vperm \b3,\b0,\b1,v29 // vcprm(1,3,s0,s2) // {t2,ta,t6,tc}
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vsubfp \b0,\a2,\b2 // {r4,r5,r6,r7}
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vsubfp \b1,\a3,\b3 // {i4,i5,i6,i7}
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vaddfp \a0,\a2,\b2 // {r0,r1,r2,r3}
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vaddfp \a1,\a3,\b3 // {i0,i1,i2,i3}
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.endm
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.macro BF d0,d1,s0,s1
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vsubfp \d1,\s0,\s1
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vaddfp \d0,\s0,\s1
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.endm
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2010-07-03 21:36:10 +03:00
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.macro zip d0,d1,s0,s1
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vmrghw \d0,\s0,\s1
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vmrglw \d1,\s0,\s1
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.endm
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.macro def_fft4 interleave
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fft4\interleave\()_altivec:
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2010-07-02 02:21:39 +03:00
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lvx v0, 0,r3
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lvx v1,r9,r3
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FFT4 v0,v1,v2,v3
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2010-07-03 21:36:10 +03:00
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.ifnb \interleave
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zip v0,v1,v2,v3
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stvx v0, 0,r3
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stvx v1,r9,r3
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.else
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2010-07-02 02:21:39 +03:00
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stvx v2, 0,r3
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stvx v3,r9,r3
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2010-07-03 21:36:10 +03:00
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.endif
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2010-07-02 02:21:39 +03:00
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blr
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2010-07-03 21:36:10 +03:00
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.endm
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2010-07-02 02:21:39 +03:00
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2010-07-03 21:36:10 +03:00
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.macro def_fft8 interleave
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fft8\interleave\()_altivec:
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2010-07-02 02:21:39 +03:00
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addi r4,r3,32
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lvx v0, 0,r3
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lvx v1,r9,r3
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lvx v2, 0,r4
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lvx v3,r9,r4
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FFT8 v0,v1,v2,v3,v4,v5,v6,v7,v8
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2010-07-03 21:36:10 +03:00
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.ifnb \interleave
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zip v4,v5,v0,v1
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zip v6,v7,v2,v3
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stvx v4, 0,r3
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stvx v5,r9,r3
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stvx v6, 0,r4
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stvx v7,r9,r4
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.else
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2010-07-02 02:21:39 +03:00
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stvx v0, 0,r3
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stvx v1,r9,r3
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stvx v2, 0,r4
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stvx v3,r9,r4
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2010-07-03 21:36:10 +03:00
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.endif
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2010-07-02 02:21:39 +03:00
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blr
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2010-07-03 21:36:10 +03:00
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.endm
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2010-07-02 02:21:39 +03:00
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2010-07-03 21:36:10 +03:00
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.macro def_fft16 interleave
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fft16\interleave\()_altivec:
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2010-07-02 02:21:39 +03:00
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addi r5,r3,64
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addi r6,r3,96
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addi r4,r3,32
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lvx v0, 0,r5
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lvx v1,r9,r5
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lvx v2, 0,r6
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lvx v3,r9,r6
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FFT4x2 v0,v1,v2,v3,v4,v5,v6,v7
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lvx v0, 0,r3
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lvx v1,r9,r3
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lvx v2, 0,r4
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lvx v3,r9,r4
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FFT8 v0,v1,v2,v3,v8,v9,v10,v11,v12
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vmaddfp v8,v4,v15,v14 // r2*wre
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vmaddfp v9,v5,v15,v14 // i2*wre
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vmaddfp v10,v6,v15,v14 // r3*wre
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vmaddfp v11,v7,v15,v14 // i3*wre
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vmaddfp v8,v5,v16,v8 // i2*wim
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vnmsubfp v9,v4,v16,v9 // r2*wim
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vnmsubfp v10,v7,v16,v10 // i3*wim
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vmaddfp v11,v6,v16,v11 // r3*wim
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BF v10,v12,v10,v8
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BF v11,v13,v9,v11
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BF v0,v4,v0,v10
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BF v3,v7,v3,v12
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2010-07-03 21:36:10 +03:00
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BF v1,v5,v1,v11
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BF v2,v6,v2,v13
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.ifnb \interleave
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zip v8, v9,v0,v1
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zip v10,v11,v2,v3
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zip v12,v13,v4,v5
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zip v14,v15,v6,v7
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stvx v8, 0,r3
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stvx v9,r9,r3
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stvx v10, 0,r4
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stvx v11,r9,r4
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stvx v12, 0,r5
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stvx v13,r9,r5
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stvx v14, 0,r6
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stvx v15,r9,r6
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.else
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2010-07-02 02:21:39 +03:00
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stvx v0, 0,r3
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stvx v4, 0,r5
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stvx v3,r9,r4
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stvx v7,r9,r6
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stvx v1,r9,r3
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stvx v5,r9,r5
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stvx v2, 0,r4
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stvx v6, 0,r6
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2010-07-03 21:36:10 +03:00
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.endif
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2010-07-02 02:21:39 +03:00
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blr
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2010-07-03 21:36:10 +03:00
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.endm
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2010-07-02 02:21:39 +03:00
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// void pass(float *z, float *wre, int n)
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.macro PASS interleave, suffix
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fft_pass\suffix\()_altivec:
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mtctr r5
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slwi r0,r5,4
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slwi r7,r5,6 // o2
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slwi r5,r5,5 // o1
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add r10,r5,r7 // o3
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add r0,r4,r0 // wim
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addi r6,r5,16 // o1+16
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addi r8,r7,16 // o2+16
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addi r11,r10,16 // o3+16
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1:
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lvx v8, 0,r4 // wre
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lvx v10, 0,r0 // wim
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sub r0,r0,r9
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lvx v9, 0,r0
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vperm v9,v9,v10,v19 // vcprm(s0,3,2,1) => wim[0 .. -3]
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lvx v4,r3,r7 // r2 = z[o2]
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lvx v5,r3,r8 // i2 = z[o2+16]
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lvx v6,r3,r10 // r3 = z[o3]
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lvx v7,r3,r11 // i3 = z[o3+16]
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vmaddfp v10,v4,v8,v14 // r2*wre
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vmaddfp v11,v5,v8,v14 // i2*wre
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vmaddfp v12,v6,v8,v14 // r3*wre
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vmaddfp v13,v7,v8,v14 // i3*wre
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lvx v0, 0,r3 // r0 = z[0]
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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
|
|
|
|
|
|
2010-07-04 21:33:47 +03:00
|
|
|
#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
|
|
|
|
|
.align 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
|
|
|
|
|
.endif
|
|
|
|
|
.endm
|
|
|
|
|
|
|
|
|
|
.macro stvm b, r, regs:vararg
|
|
|
|
|
stvx \r, 0, \b
|
|
|
|
|
addi \b, \b, 16
|
|
|
|
|
.ifnb \regs
|
|
|
|
|
stvm \b, \regs
|
|
|
|
|
.endif
|
|
|
|
|
.endm
|
|
|
|
|
|
|
|
|
|
.macro fft_calc interleave
|
|
|
|
|
extfunc ff_fft_calc\interleave\()_altivec
|
|
|
|
|
mflr r0
|
|
|
|
|
stp r0, 2*PS(r1)
|
|
|
|
|
stpu r1, -(160+16*PS)(r1)
|
2011-09-25 14:53:44 +03:00
|
|
|
get_got r11
|
2010-07-04 21:33:47 +03:00
|
|
|
addi r6, r1, 16*PS
|
|
|
|
|
stvm r6, v20, v21, v22, v23, v24, v25, v26, v27, v28, v29
|
|
|
|
|
mfvrsave r0
|
|
|
|
|
stw r0, 15*PS(r1)
|
|
|
|
|
li r6, 0xfffffffc
|
|
|
|
|
mtvrsave r6
|
|
|
|
|
|
2011-09-25 14:53:44 +03:00
|
|
|
movrel r6, fft_data, r11
|
2010-07-04 21:33:47 +03:00
|
|
|
lvm r6, v14, v15, v16, v17, v18, v19, v20, v21
|
|
|
|
|
lvm r6, v22, v23, v24, v25, v26, v27, v28, v29
|
|
|
|
|
|
|
|
|
|
li r9, 16
|
2011-09-25 14:53:44 +03:00
|
|
|
movrel r12, X(ff_cos_tabs), r11
|
2010-07-04 21:33:47 +03:00
|
|
|
|
2011-09-25 14:53:44 +03:00
|
|
|
movrel r6, fft_dispatch_tab\interleave\()_altivec, r11
|
2010-07-04 21:33:47 +03:00
|
|
|
lwz r3, 0(r3)
|
|
|
|
|
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(r1)
|
|
|
|
|
mtvrsave r6
|
|
|
|
|
lp r1, 0(r1)
|
|
|
|
|
lp r0, 2*PS(r1)
|
|
|
|
|
mtlr r0
|
|
|
|
|
blr
|
|
|
|
|
.endm
|
|
|
|
|
|
2010-07-02 02:21:39 +03:00
|
|
|
.macro DECL_FFT suffix, bits, n, n2, n4
|
|
|
|
|
fft\n\suffix\()_altivec:
|
|
|
|
|
mflr r0
|
2010-07-04 21:33:47 +03:00
|
|
|
stp r0,PS*(\bits-3)(r1)
|
2010-07-02 02:21:39 +03:00
|
|
|
bl fft\n2\()_altivec
|
|
|
|
|
addi2 r3,\n*4
|
|
|
|
|
bl fft\n4\()_altivec
|
|
|
|
|
addi2 r3,\n*2
|
|
|
|
|
bl fft\n4\()_altivec
|
|
|
|
|
addi2 r3,\n*-6
|
2010-07-04 21:33:47 +03:00
|
|
|
lp r0,PS*(\bits-3)(r1)
|
|
|
|
|
lp r4,\bits*PS(r12)
|
2010-07-02 02:21:39 +03:00
|
|
|
mtlr r0
|
|
|
|
|
li r5,\n/16
|
|
|
|
|
b fft_pass\suffix\()_altivec
|
|
|
|
|
.endm
|
|
|
|
|
|
|
|
|
|
.macro DECL_FFTS interleave, suffix
|
|
|
|
|
.text
|
2010-07-03 21:36:10 +03:00
|
|
|
def_fft4 \suffix
|
|
|
|
|
def_fft8 \suffix
|
|
|
|
|
def_fft16 \suffix
|
2010-07-02 02:21:39 +03:00
|
|
|
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
|
|
|
|
|
|
2010-07-04 21:33:47 +03:00
|
|
|
fft_calc \suffix
|
|
|
|
|
|
2010-07-02 02:21:39 +03:00
|
|
|
.rodata
|
2010-07-04 21:33:47 +03:00
|
|
|
.align 3
|
|
|
|
|
fft_dispatch_tab\suffix\()_altivec:
|
2010-07-03 21:36:10 +03:00
|
|
|
PTR fft4\suffix\()_altivec
|
|
|
|
|
PTR fft8\suffix\()_altivec
|
|
|
|
|
PTR fft16\suffix\()_altivec
|
2010-07-02 02:21:39 +03:00
|
|
|
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
|
