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/*
* ARM NEON optimised FFT
*
* Copyright (c) 2009 Mans Rullgard <mans@mansr.com>
* Copyright (c) 2009 Naotoshi Nojiri
* Copyright (c) 2014 Janne Grunau <janne-libav@jannau.net>
*
* 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
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
#include "libavutil/aarch64/asm.S"
#define M_SQRT1_2 0.70710678118654752440
.macro transpose d0, d1, s0, s1
trn1 \d0, \s0, \s1
trn2 \d1, \s0, \s1
.endm
function fft4_neon
ld1 {v0.2s,v1.2s,v2.2s,v3.2s}, [x0]
fadd v4.2s, v0.2s, v1.2s // r0+r1,i0+i1
fsub v6.2s, v0.2s, v1.2s // r0-r1,i0-i1
ext v16.8b, v2.8b, v3.8b, #4
ext v17.8b, v3.8b, v2.8b, #4
fadd v5.2s, v2.2s, v3.2s // i2+i3,r2+r3
fsub v7.2s, v16.2s, v17.2s // r3-r2,i2-i3
fadd v0.2s, v4.2s, v5.2s
fsub v2.2s, v4.2s, v5.2s
fadd v1.2s, v6.2s, v7.2s
fsub v3.2s, v6.2s, v7.2s
st1 {v0.2s,v1.2s,v2.2s,v3.2s}, [x0]
ret
endfunc
function fft8_neon
mov x1, x0
ld1 {v0.2s, v1.2s, v2.2s, v3.2s}, [x0], #32
ld1 {v16.2s,v17.2s,v18.2s,v19.2s}, [x0]
ext v22.8b, v2.8b, v3.8b, #4
ext v23.8b, v3.8b, v2.8b, #4
fadd v4.2s, v16.2s, v17.2s // r4+r5,i4+i5
fadd v5.2s, v18.2s, v19.2s // r6+r7,i6+i7
fsub v17.2s, v16.2s, v17.2s // r4-r5,i4-i5
fsub v19.2s, v18.2s, v19.2s // r6-r7,i6-i7
rev64 v27.2s, v28.2s // ???
fadd v20.2s, v0.2s, v1.2s // r0+r1,i0+i1
fadd v21.2s, v2.2s, v3.2s // r2+r3,i2+i3
fmul v26.2s, v17.2s, v28.2s // -a2r*w,a2i*w
ext v6.8b, v4.8b, v5.8b, #4
ext v7.8b, v5.8b, v4.8b, #4
fmul v27.2s, v19.2s, v27.2s // a3r*w,-a3i*w
fsub v23.2s, v22.2s, v23.2s // i2-i3,r3-r2
fsub v22.2s, v0.2s, v1.2s // r0-r1,i0-i1
fmul v24.2s, v17.2s, v28.s[1] // a2r*w,a2i*w
fmul v25.2s, v19.2s, v28.s[1] // a3r*w,a3i*w
fadd v0.2s, v20.2s, v21.2s
fsub v2.2s, v20.2s, v21.2s
fadd v1.2s, v22.2s, v23.2s
rev64 v26.2s, v26.2s
rev64 v27.2s, v27.2s
fsub v3.2s, v22.2s, v23.2s
fsub v6.2s, v6.2s, v7.2s
fadd v24.2s, v24.2s, v26.2s // a2r+a2i,a2i-a2r t1,t2
fadd v25.2s, v25.2s, v27.2s // a3r-a3i,a3i+a3r t5,t6
fadd v7.2s, v4.2s, v5.2s
fsub v18.2s, v2.2s, v6.2s
ext v26.8b, v24.8b, v25.8b, #4
ext v27.8b, v25.8b, v24.8b, #4
fadd v2.2s, v2.2s, v6.2s
fsub v16.2s, v0.2s, v7.2s
fadd v5.2s, v25.2s, v24.2s
fsub v4.2s, v26.2s, v27.2s
fadd v0.2s, v0.2s, v7.2s
fsub v17.2s, v1.2s, v5.2s
fsub v19.2s, v3.2s, v4.2s
fadd v3.2s, v3.2s, v4.2s
fadd v1.2s, v1.2s, v5.2s
st1 {v16.2s,v17.2s,v18.2s,v19.2s}, [x0]
st1 {v0.2s, v1.2s, v2.2s, v3.2s}, [x1]
ret
endfunc
function fft16_neon
mov x1, x0
ld1 {v0.2s, v1.2s, v2.2s, v3.2s}, [x0], #32
ld1 {v16.2s,v17.2s,v18.2s,v19.2s}, [x0], #32
ext v22.8b, v2.8b, v3.8b, #4
ext v23.8b, v3.8b, v2.8b, #4
fadd v4.2s, v16.2s, v17.2s // r4+r5,i4+i5
fadd v5.2s, v18.2s, v19.2s // r6+r7,i6+i7
fsub v17.2s, v16.2s, v17.2s // r4-r5,i4-i5
fsub v19.2s, v18.2s, v19.2s // r6-r7,i6-i7
rev64 v27.2s, v28.2s // ???
fadd v20.2s, v0.2s, v1.2s // r0+r1,i0+i1
fadd v21.2s, v2.2s, v3.2s // r2+r3,i2+i3
fmul v26.2s, v17.2s, v28.2s // -a2r*w,a2i*w
ext v6.8b, v4.8b, v5.8b, #4
ext v7.8b, v5.8b, v4.8b, #4
fmul v27.2s, v19.2s, v27.2s // a3r*w,-a3i*w
fsub v23.2s, v22.2s, v23.2s // i2-i3,r3-r2
fsub v22.2s, v0.2s, v1.2s // r0-r1,i0-i1
fmul v24.2s, v17.2s, v28.s[1] // a2r*w,a2i*w
fmul v25.2s, v19.2s, v28.s[1] // a3r*w,a3i*w
fadd v0.2s, v20.2s, v21.2s
fsub v2.2s, v20.2s, v21.2s
fadd v1.2s, v22.2s, v23.2s
rev64 v26.2s, v26.2s
rev64 v27.2s, v27.2s
fsub v3.2s, v22.2s, v23.2s
fsub v6.2s, v6.2s, v7.2s
fadd v24.2s, v24.2s, v26.2s // a2r+a2i,a2i-a2r t1,t2
fadd v25.2s, v25.2s, v27.2s // a3r-a3i,a3i+a3r t5,t6
fadd v7.2s, v4.2s, v5.2s
fsub v18.2s, v2.2s, v6.2s
ld1 {v20.4s,v21.4s}, [x0], #32
ld1 {v22.4s,v23.4s}, [x0], #32
ext v26.8b, v24.8b, v25.8b, #4
ext v27.8b, v25.8b, v24.8b, #4
fadd v2.2s, v2.2s, v6.2s
fsub v16.2s, v0.2s, v7.2s
fadd v5.2s, v25.2s, v24.2s
fsub v4.2s, v26.2s, v27.2s
transpose v24.2d, v25.2d, v20.2d, v22.2d
transpose v26.2d, v27.2d, v21.2d, v23.2d
fadd v0.2s, v0.2s, v7.2s
fsub v17.2s, v1.2s, v5.2s
fsub v19.2s, v3.2s, v4.2s
fadd v3.2s, v3.2s, v4.2s
fadd v1.2s, v1.2s, v5.2s
ext v20.16b, v21.16b, v21.16b, #4
ext v21.16b, v23.16b, v23.16b, #4
zip1 v0.2d, v0.2d, v1.2d // {z[0], z[1]}
zip1 v1.2d, v2.2d, v3.2d // {z[2], z[3]}
zip1 v2.2d, v16.2d, v17.2d // {z[o1], z[o1+1]}
zip1 v3.2d, v18.2d, v19.2d // {z[o1+2],z[o1+3]}
// 2 x fft4
transpose v22.2d, v23.2d, v20.2d, v21.2d
fadd v4.4s, v24.4s, v25.4s
fadd v5.4s, v26.4s, v27.4s
fsub v6.4s, v24.4s, v25.4s
fsub v7.4s, v22.4s, v23.4s
ld1 {v23.4s}, [x14]
fadd v24.4s, v4.4s, v5.4s // {z[o2+0],z[o2+1]}
fsub v26.4s, v4.4s, v5.4s // {z[o2+2],z[o2+3]}
fadd v25.4s, v6.4s, v7.4s // {z[o3+0],z[o3+1]}
fsub v27.4s, v6.4s, v7.4s // {z[o3+2],z[o3+3]}
//fft_pass_neon_16
rev64 v7.4s, v25.4s
fmul v25.4s, v25.4s, v23.s[1]
fmul v7.4s, v7.4s, v29.4s
fmla v25.4s, v7.4s, v23.s[3] // {t1a,t2a,t5a,t6a}
zip1 v20.4s, v24.4s, v25.4s
zip2 v21.4s, v24.4s, v25.4s
fneg v22.4s, v20.4s
fadd v4.4s, v21.4s, v20.4s
fsub v6.4s, v20.4s, v21.4s // just the second half
fadd v5.4s, v21.4s, v22.4s // just the first half
tbl v4.16b, {v4.16b}, v30.16b // trans4_float
tbl v5.16b, {v5.16b,v6.16b}, v31.16b // trans8_float
fsub v20.4s, v0.4s, v4.4s // {z[o2],z[o2+1]}
fadd v16.4s, v0.4s, v4.4s // {z[0], z[1]}
fsub v22.4s, v2.4s, v5.4s // {z[o3],z[o3+1]}
fadd v18.4s, v2.4s, v5.4s // {z[o1],z[o1+1]}
//second half
rev64 v6.4s, v26.4s
fmul v26.4s, v26.4s, v23.s[2]
rev64 v7.4s, v27.4s
fmul v27.4s, v27.4s, v23.s[3]
fmul v6.4s, v6.4s, v29.4s
fmul v7.4s, v7.4s, v29.4s
fmla v26.4s, v6.4s, v23.s[2] // {t1,t2,t5,t6}
fmla v27.4s, v7.4s, v23.s[1] // {t1a,t2a,t5a,t6a}
zip1 v24.4s, v26.4s, v27.4s
zip2 v25.4s, v26.4s, v27.4s
fneg v26.4s, v24.4s
fadd v4.4s, v25.4s, v24.4s
fsub v6.4s, v24.4s, v25.4s // just the second half
fadd v5.4s, v25.4s, v26.4s // just the first half
tbl v4.16b, {v4.16b}, v30.16b // trans4_float
tbl v5.16b, {v5.16b,v6.16b}, v31.16b // trans8_float
fadd v17.4s, v1.4s, v4.4s // {z[2], z[3]}
fsub v21.4s, v1.4s, v4.4s // {z[o2+2],z[o2+3]}
fadd v19.4s, v3.4s, v5.4s // {z[o1+2],z[o1+3]}
fsub v23.4s, v3.4s, v5.4s // {z[o3+2],z[o3+3]}
st1 {v16.4s,v17.4s}, [x1], #32
st1 {v18.4s,v19.4s}, [x1], #32
st1 {v20.4s,v21.4s}, [x1], #32
st1 {v22.4s,v23.4s}, [x1], #32
ret
endfunc
const trans4_float, align=4
.byte 0, 1, 2, 3
.byte 8, 9, 10, 11
.byte 4, 5, 6, 7
.byte 12, 13, 14, 15
endconst
const trans8_float, align=4
.byte 24, 25, 26, 27
.byte 0, 1, 2, 3
.byte 28, 29, 30, 31
.byte 4, 5, 6, 7
endconst
function fft_pass_neon
sub x6, x2, #1 // n - 1, loop counter
lsl x5, x2, #3 // 2 * n * sizeof FFTSample
lsl x1, x2, #4 // 2 * n * sizeof FFTComplex
add x5, x4, x5 // wim
add x3, x1, x2, lsl #5 // 4 * n * sizeof FFTComplex
add x2, x0, x2, lsl #5 // &z[o2]
add x3, x0, x3 // &z[o3]
add x1, x0, x1 // &z[o1]
ld1 {v20.4s},[x2] // {z[o2],z[o2+1]}
ld1 {v22.4s},[x3] // {z[o3],z[o3+1]}
ld1 {v4.2s}, [x4], #8 // {wre[0],wre[1]}
trn2 v25.2d, v20.2d, v22.2d
sub x5, x5, #4 // wim--
trn1 v24.2d, v20.2d, v22.2d
ld1 {v5.s}[0], [x5], x7 // d5[0] = wim[-1]
rev64 v7.4s, v25.4s
fmul v25.4s, v25.4s, v4.s[1]
ld1 {v16.4s}, [x0] // {z[0],z[1]}
fmul v7.4s, v7.4s, v29.4s
ld1 {v17.4s}, [x1] // {z[o1],z[o1+1]}
prfm pldl1keep, [x2, #16]
prfm pldl1keep, [x3, #16]
fmla v25.4s, v7.4s, v5.s[0] // {t1a,t2a,t5a,t6a}
prfm pldl1keep, [x0, #16]
prfm pldl1keep, [x1, #16]
zip1 v20.4s, v24.4s, v25.4s
zip2 v21.4s, v24.4s, v25.4s
fneg v22.4s, v20.4s
fadd v4.4s, v21.4s, v20.4s
fsub v6.4s, v20.4s, v21.4s // just the second half
fadd v5.4s, v21.4s, v22.4s // just the first half
tbl v4.16b, {v4.16b}, v30.16b // trans4_float
tbl v5.16b, {v5.16b,v6.16b}, v31.16b // trans8_float
fadd v20.4s, v16.4s, v4.4s
fsub v22.4s, v16.4s, v4.4s
fadd v21.4s, v17.4s, v5.4s
st1 {v20.4s}, [x0], #16 // {z[0], z[1]}
fsub v23.4s, v17.4s, v5.4s
st1 {v21.4s}, [x1], #16 // {z[o1],z[o1+1]}
st1 {v22.4s}, [x2], #16 // {z[o2],z[o2+1]}
st1 {v23.4s}, [x3], #16 // {z[o3],z[o3+1]}
1:
ld1 {v20.4s},[x2] // {z[o2],z[o2+1]}
ld1 {v22.4s},[x3] // {z[o3],z[o3+1]}
ld1 {v4.2s}, [x4], #8 // {wre[0],wre[1]}
transpose v26.2d, v27.2d, v20.2d, v22.2d
ld1 {v5.2s}, [x5], x7 // {wim[-1],wim[0]}
rev64 v6.4s, v26.4s
fmul v26.4s, v26.4s, v4.s[0]
rev64 v7.4s, v27.4s
fmul v27.4s, v27.4s, v4.s[1]
fmul v6.4s, v6.4s, v29.4s
fmul v7.4s, v7.4s, v29.4s
ld1 {v16.4s},[x0] // {z[0],z[1]}
fmla v26.4s, v6.4s, v5.s[1] // {t1,t2,t5,t6}
fmla v27.4s, v7.4s, v5.s[0] // {t1a,t2a,t5a,t6a}
ld1 {v17.4s},[x1] // {z[o1],z[o1+1]}
subs x6, x6, #1 // n--
zip1 v20.4s, v26.4s, v27.4s
zip2 v21.4s, v26.4s, v27.4s
fneg v22.4s, v20.4s
fadd v4.4s, v21.4s, v20.4s
fsub v6.4s, v20.4s, v21.4s // just the second half
fadd v5.4s, v21.4s, v22.4s // just the first half
tbl v4.16b, {v4.16b}, v30.16b // trans4_float
tbl v5.16b, {v5.16b,v6.16b}, v31.16b // trans8_float
fadd v20.4s, v16.4s, v4.4s
fsub v22.4s, v16.4s, v4.4s
fadd v21.4s, v17.4s, v5.4s
st1 {v20.4s}, [x0], #16 // {z[0], z[1]}
fsub v23.4s, v17.4s, v5.4s
st1 {v21.4s}, [x1], #16 // {z[o1],z[o1+1]}
st1 {v22.4s}, [x2], #16 // {z[o2],z[o2+1]}
st1 {v23.4s}, [x3], #16 // {z[o3],z[o3+1]}
b.ne 1b
ret
endfunc
.macro def_fft n, n2, n4
function fft\n\()_neon, align=6
sub sp, sp, #16
stp x28, x30, [sp]
add x28, x0, #\n4*2*8
bl fft\n2\()_neon
mov x0, x28
bl fft\n4\()_neon
add x0, x28, #\n4*1*8
bl fft\n4\()_neon
sub x0, x28, #\n4*2*8
ldp x28, x30, [sp], #16
movrel x4, X(ff_cos_\n)
mov x2, #\n4>>1
b fft_pass_neon
endfunc
.endm
def_fft 32, 16, 8
def_fft 64, 32, 16
def_fft 128, 64, 32
def_fft 256, 128, 64
def_fft 512, 256, 128
def_fft 1024, 512, 256
def_fft 2048, 1024, 512
def_fft 4096, 2048, 1024
def_fft 8192, 4096, 2048
def_fft 16384, 8192, 4096
def_fft 32768, 16384, 8192
def_fft 65536, 32768, 16384
function ff_fft_calc_neon, export=1
prfm pldl1keep, [x1]
movrel x10, trans4_float
ldr w2, [x0]
movrel x11, trans8_float
sub w2, w2, #2
movrel x3, fft_tab_neon
ld1 {v30.16b}, [x10]
mov x7, #-8
movrel x12, pmmp
ldr x3, [x3, x2, lsl #3]
movrel x13, mppm
movrel x14, X(ff_cos_16)
ld1 {v31.16b}, [x11]
mov x0, x1
ld1 {v29.4s}, [x12] // pmmp
ld1 {v28.4s}, [x13]
br x3
endfunc
function ff_fft_permute_neon, export=1
mov x6, #1
ldr w2, [x0] // nbits
ldr x3, [x0, #16] // tmp_buf
ldr x0, [x0, #8] // revtab
lsl x6, x6, x2
mov x2, x6
1:
ld1 {v0.2s,v1.2s}, [x1], #16
ldr w4, [x0], #4
uxth w5, w4
lsr w4, w4, #16
add x5, x3, x5, lsl #3
add x4, x3, x4, lsl #3
st1 {v0.2s}, [x5]
st1 {v1.2s}, [x4]
subs x6, x6, #2
b.gt 1b
sub x1, x1, x2, lsl #3
1:
ld1 {v0.4s,v1.4s}, [x3], #32
st1 {v0.4s,v1.4s}, [x1], #32
subs x2, x2, #4
b.gt 1b
ret
endfunc
const fft_tab_neon, relocate=1
.quad fft4_neon
.quad fft8_neon
.quad fft16_neon
.quad fft32_neon
.quad fft64_neon
.quad fft128_neon
.quad fft256_neon
.quad fft512_neon
.quad fft1024_neon
.quad fft2048_neon
.quad fft4096_neon
.quad fft8192_neon
.quad fft16384_neon
.quad fft32768_neon
.quad fft65536_neon
endconst
const pmmp, align=4
.float +1.0, -1.0, -1.0, +1.0
endconst
const mppm, align=4
.float -M_SQRT1_2, M_SQRT1_2, M_SQRT1_2, -M_SQRT1_2
endconst
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