Wed, 31 Dec 2014 06:09:35 +0100
Cloned upstream origin tor-browser at tor-browser-31.3.0esr-4.5-1-build1
revision ID fc1c9ff7c1b2defdbc039f12214767608f46423f for hacking purpose.
michael@0 | 1 | /*Copyright (c) 2003-2004, Mark Borgerding |
michael@0 | 2 | Lots of modifications by Jean-Marc Valin |
michael@0 | 3 | Copyright (c) 2005-2007, Xiph.Org Foundation |
michael@0 | 4 | Copyright (c) 2008, Xiph.Org Foundation, CSIRO |
michael@0 | 5 | |
michael@0 | 6 | All rights reserved. |
michael@0 | 7 | |
michael@0 | 8 | Redistribution and use in source and binary forms, with or without |
michael@0 | 9 | modification, are permitted provided that the following conditions are met: |
michael@0 | 10 | |
michael@0 | 11 | * Redistributions of source code must retain the above copyright notice, |
michael@0 | 12 | this list of conditions and the following disclaimer. |
michael@0 | 13 | * Redistributions in binary form must reproduce the above copyright notice, |
michael@0 | 14 | this list of conditions and the following disclaimer in the |
michael@0 | 15 | documentation and/or other materials provided with the distribution. |
michael@0 | 16 | |
michael@0 | 17 | THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" |
michael@0 | 18 | AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE |
michael@0 | 19 | IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE |
michael@0 | 20 | ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE |
michael@0 | 21 | LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR |
michael@0 | 22 | CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF |
michael@0 | 23 | SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS |
michael@0 | 24 | INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN |
michael@0 | 25 | CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) |
michael@0 | 26 | ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
michael@0 | 27 | POSSIBILITY OF SUCH DAMAGE.*/ |
michael@0 | 28 | |
michael@0 | 29 | /* This code is originally from Mark Borgerding's KISS-FFT but has been |
michael@0 | 30 | heavily modified to better suit Opus */ |
michael@0 | 31 | |
michael@0 | 32 | #ifndef SKIP_CONFIG_H |
michael@0 | 33 | # ifdef HAVE_CONFIG_H |
michael@0 | 34 | # include "config.h" |
michael@0 | 35 | # endif |
michael@0 | 36 | #endif |
michael@0 | 37 | |
michael@0 | 38 | #include "_kiss_fft_guts.h" |
michael@0 | 39 | #include "arch.h" |
michael@0 | 40 | #include "os_support.h" |
michael@0 | 41 | #include "mathops.h" |
michael@0 | 42 | #include "stack_alloc.h" |
michael@0 | 43 | |
michael@0 | 44 | /* The guts header contains all the multiplication and addition macros that are defined for |
michael@0 | 45 | complex numbers. It also delares the kf_ internal functions. |
michael@0 | 46 | */ |
michael@0 | 47 | |
michael@0 | 48 | static void kf_bfly2( |
michael@0 | 49 | kiss_fft_cpx * Fout, |
michael@0 | 50 | const size_t fstride, |
michael@0 | 51 | const kiss_fft_state *st, |
michael@0 | 52 | int m, |
michael@0 | 53 | int N, |
michael@0 | 54 | int mm |
michael@0 | 55 | ) |
michael@0 | 56 | { |
michael@0 | 57 | kiss_fft_cpx * Fout2; |
michael@0 | 58 | const kiss_twiddle_cpx * tw1; |
michael@0 | 59 | int i,j; |
michael@0 | 60 | kiss_fft_cpx * Fout_beg = Fout; |
michael@0 | 61 | for (i=0;i<N;i++) |
michael@0 | 62 | { |
michael@0 | 63 | Fout = Fout_beg + i*mm; |
michael@0 | 64 | Fout2 = Fout + m; |
michael@0 | 65 | tw1 = st->twiddles; |
michael@0 | 66 | for(j=0;j<m;j++) |
michael@0 | 67 | { |
michael@0 | 68 | kiss_fft_cpx t; |
michael@0 | 69 | Fout->r = SHR32(Fout->r, 1);Fout->i = SHR32(Fout->i, 1); |
michael@0 | 70 | Fout2->r = SHR32(Fout2->r, 1);Fout2->i = SHR32(Fout2->i, 1); |
michael@0 | 71 | C_MUL (t, *Fout2 , *tw1); |
michael@0 | 72 | tw1 += fstride; |
michael@0 | 73 | C_SUB( *Fout2 , *Fout , t ); |
michael@0 | 74 | C_ADDTO( *Fout , t ); |
michael@0 | 75 | ++Fout2; |
michael@0 | 76 | ++Fout; |
michael@0 | 77 | } |
michael@0 | 78 | } |
michael@0 | 79 | } |
michael@0 | 80 | |
michael@0 | 81 | static void ki_bfly2( |
michael@0 | 82 | kiss_fft_cpx * Fout, |
michael@0 | 83 | const size_t fstride, |
michael@0 | 84 | const kiss_fft_state *st, |
michael@0 | 85 | int m, |
michael@0 | 86 | int N, |
michael@0 | 87 | int mm |
michael@0 | 88 | ) |
michael@0 | 89 | { |
michael@0 | 90 | kiss_fft_cpx * Fout2; |
michael@0 | 91 | const kiss_twiddle_cpx * tw1; |
michael@0 | 92 | kiss_fft_cpx t; |
michael@0 | 93 | int i,j; |
michael@0 | 94 | kiss_fft_cpx * Fout_beg = Fout; |
michael@0 | 95 | for (i=0;i<N;i++) |
michael@0 | 96 | { |
michael@0 | 97 | Fout = Fout_beg + i*mm; |
michael@0 | 98 | Fout2 = Fout + m; |
michael@0 | 99 | tw1 = st->twiddles; |
michael@0 | 100 | for(j=0;j<m;j++) |
michael@0 | 101 | { |
michael@0 | 102 | C_MULC (t, *Fout2 , *tw1); |
michael@0 | 103 | tw1 += fstride; |
michael@0 | 104 | C_SUB( *Fout2 , *Fout , t ); |
michael@0 | 105 | C_ADDTO( *Fout , t ); |
michael@0 | 106 | ++Fout2; |
michael@0 | 107 | ++Fout; |
michael@0 | 108 | } |
michael@0 | 109 | } |
michael@0 | 110 | } |
michael@0 | 111 | |
michael@0 | 112 | static void kf_bfly4( |
michael@0 | 113 | kiss_fft_cpx * Fout, |
michael@0 | 114 | const size_t fstride, |
michael@0 | 115 | const kiss_fft_state *st, |
michael@0 | 116 | int m, |
michael@0 | 117 | int N, |
michael@0 | 118 | int mm |
michael@0 | 119 | ) |
michael@0 | 120 | { |
michael@0 | 121 | const kiss_twiddle_cpx *tw1,*tw2,*tw3; |
michael@0 | 122 | kiss_fft_cpx scratch[6]; |
michael@0 | 123 | const size_t m2=2*m; |
michael@0 | 124 | const size_t m3=3*m; |
michael@0 | 125 | int i, j; |
michael@0 | 126 | |
michael@0 | 127 | kiss_fft_cpx * Fout_beg = Fout; |
michael@0 | 128 | for (i=0;i<N;i++) |
michael@0 | 129 | { |
michael@0 | 130 | Fout = Fout_beg + i*mm; |
michael@0 | 131 | tw3 = tw2 = tw1 = st->twiddles; |
michael@0 | 132 | for (j=0;j<m;j++) |
michael@0 | 133 | { |
michael@0 | 134 | C_MUL4(scratch[0],Fout[m] , *tw1 ); |
michael@0 | 135 | C_MUL4(scratch[1],Fout[m2] , *tw2 ); |
michael@0 | 136 | C_MUL4(scratch[2],Fout[m3] , *tw3 ); |
michael@0 | 137 | |
michael@0 | 138 | Fout->r = PSHR32(Fout->r, 2); |
michael@0 | 139 | Fout->i = PSHR32(Fout->i, 2); |
michael@0 | 140 | C_SUB( scratch[5] , *Fout, scratch[1] ); |
michael@0 | 141 | C_ADDTO(*Fout, scratch[1]); |
michael@0 | 142 | C_ADD( scratch[3] , scratch[0] , scratch[2] ); |
michael@0 | 143 | C_SUB( scratch[4] , scratch[0] , scratch[2] ); |
michael@0 | 144 | C_SUB( Fout[m2], *Fout, scratch[3] ); |
michael@0 | 145 | tw1 += fstride; |
michael@0 | 146 | tw2 += fstride*2; |
michael@0 | 147 | tw3 += fstride*3; |
michael@0 | 148 | C_ADDTO( *Fout , scratch[3] ); |
michael@0 | 149 | |
michael@0 | 150 | Fout[m].r = scratch[5].r + scratch[4].i; |
michael@0 | 151 | Fout[m].i = scratch[5].i - scratch[4].r; |
michael@0 | 152 | Fout[m3].r = scratch[5].r - scratch[4].i; |
michael@0 | 153 | Fout[m3].i = scratch[5].i + scratch[4].r; |
michael@0 | 154 | ++Fout; |
michael@0 | 155 | } |
michael@0 | 156 | } |
michael@0 | 157 | } |
michael@0 | 158 | |
michael@0 | 159 | static void ki_bfly4( |
michael@0 | 160 | kiss_fft_cpx * Fout, |
michael@0 | 161 | const size_t fstride, |
michael@0 | 162 | const kiss_fft_state *st, |
michael@0 | 163 | int m, |
michael@0 | 164 | int N, |
michael@0 | 165 | int mm |
michael@0 | 166 | ) |
michael@0 | 167 | { |
michael@0 | 168 | const kiss_twiddle_cpx *tw1,*tw2,*tw3; |
michael@0 | 169 | kiss_fft_cpx scratch[6]; |
michael@0 | 170 | const size_t m2=2*m; |
michael@0 | 171 | const size_t m3=3*m; |
michael@0 | 172 | int i, j; |
michael@0 | 173 | |
michael@0 | 174 | kiss_fft_cpx * Fout_beg = Fout; |
michael@0 | 175 | for (i=0;i<N;i++) |
michael@0 | 176 | { |
michael@0 | 177 | Fout = Fout_beg + i*mm; |
michael@0 | 178 | tw3 = tw2 = tw1 = st->twiddles; |
michael@0 | 179 | for (j=0;j<m;j++) |
michael@0 | 180 | { |
michael@0 | 181 | C_MULC(scratch[0],Fout[m] , *tw1 ); |
michael@0 | 182 | C_MULC(scratch[1],Fout[m2] , *tw2 ); |
michael@0 | 183 | C_MULC(scratch[2],Fout[m3] , *tw3 ); |
michael@0 | 184 | |
michael@0 | 185 | C_SUB( scratch[5] , *Fout, scratch[1] ); |
michael@0 | 186 | C_ADDTO(*Fout, scratch[1]); |
michael@0 | 187 | C_ADD( scratch[3] , scratch[0] , scratch[2] ); |
michael@0 | 188 | C_SUB( scratch[4] , scratch[0] , scratch[2] ); |
michael@0 | 189 | C_SUB( Fout[m2], *Fout, scratch[3] ); |
michael@0 | 190 | tw1 += fstride; |
michael@0 | 191 | tw2 += fstride*2; |
michael@0 | 192 | tw3 += fstride*3; |
michael@0 | 193 | C_ADDTO( *Fout , scratch[3] ); |
michael@0 | 194 | |
michael@0 | 195 | Fout[m].r = scratch[5].r - scratch[4].i; |
michael@0 | 196 | Fout[m].i = scratch[5].i + scratch[4].r; |
michael@0 | 197 | Fout[m3].r = scratch[5].r + scratch[4].i; |
michael@0 | 198 | Fout[m3].i = scratch[5].i - scratch[4].r; |
michael@0 | 199 | ++Fout; |
michael@0 | 200 | } |
michael@0 | 201 | } |
michael@0 | 202 | } |
michael@0 | 203 | |
michael@0 | 204 | #ifndef RADIX_TWO_ONLY |
michael@0 | 205 | |
michael@0 | 206 | static void kf_bfly3( |
michael@0 | 207 | kiss_fft_cpx * Fout, |
michael@0 | 208 | const size_t fstride, |
michael@0 | 209 | const kiss_fft_state *st, |
michael@0 | 210 | int m, |
michael@0 | 211 | int N, |
michael@0 | 212 | int mm |
michael@0 | 213 | ) |
michael@0 | 214 | { |
michael@0 | 215 | int i; |
michael@0 | 216 | size_t k; |
michael@0 | 217 | const size_t m2 = 2*m; |
michael@0 | 218 | const kiss_twiddle_cpx *tw1,*tw2; |
michael@0 | 219 | kiss_fft_cpx scratch[5]; |
michael@0 | 220 | kiss_twiddle_cpx epi3; |
michael@0 | 221 | |
michael@0 | 222 | kiss_fft_cpx * Fout_beg = Fout; |
michael@0 | 223 | epi3 = st->twiddles[fstride*m]; |
michael@0 | 224 | for (i=0;i<N;i++) |
michael@0 | 225 | { |
michael@0 | 226 | Fout = Fout_beg + i*mm; |
michael@0 | 227 | tw1=tw2=st->twiddles; |
michael@0 | 228 | k=m; |
michael@0 | 229 | do { |
michael@0 | 230 | C_FIXDIV(*Fout,3); C_FIXDIV(Fout[m],3); C_FIXDIV(Fout[m2],3); |
michael@0 | 231 | |
michael@0 | 232 | C_MUL(scratch[1],Fout[m] , *tw1); |
michael@0 | 233 | C_MUL(scratch[2],Fout[m2] , *tw2); |
michael@0 | 234 | |
michael@0 | 235 | C_ADD(scratch[3],scratch[1],scratch[2]); |
michael@0 | 236 | C_SUB(scratch[0],scratch[1],scratch[2]); |
michael@0 | 237 | tw1 += fstride; |
michael@0 | 238 | tw2 += fstride*2; |
michael@0 | 239 | |
michael@0 | 240 | Fout[m].r = Fout->r - HALF_OF(scratch[3].r); |
michael@0 | 241 | Fout[m].i = Fout->i - HALF_OF(scratch[3].i); |
michael@0 | 242 | |
michael@0 | 243 | C_MULBYSCALAR( scratch[0] , epi3.i ); |
michael@0 | 244 | |
michael@0 | 245 | C_ADDTO(*Fout,scratch[3]); |
michael@0 | 246 | |
michael@0 | 247 | Fout[m2].r = Fout[m].r + scratch[0].i; |
michael@0 | 248 | Fout[m2].i = Fout[m].i - scratch[0].r; |
michael@0 | 249 | |
michael@0 | 250 | Fout[m].r -= scratch[0].i; |
michael@0 | 251 | Fout[m].i += scratch[0].r; |
michael@0 | 252 | |
michael@0 | 253 | ++Fout; |
michael@0 | 254 | } while(--k); |
michael@0 | 255 | } |
michael@0 | 256 | } |
michael@0 | 257 | |
michael@0 | 258 | static void ki_bfly3( |
michael@0 | 259 | kiss_fft_cpx * Fout, |
michael@0 | 260 | const size_t fstride, |
michael@0 | 261 | const kiss_fft_state *st, |
michael@0 | 262 | int m, |
michael@0 | 263 | int N, |
michael@0 | 264 | int mm |
michael@0 | 265 | ) |
michael@0 | 266 | { |
michael@0 | 267 | int i, k; |
michael@0 | 268 | const size_t m2 = 2*m; |
michael@0 | 269 | const kiss_twiddle_cpx *tw1,*tw2; |
michael@0 | 270 | kiss_fft_cpx scratch[5]; |
michael@0 | 271 | kiss_twiddle_cpx epi3; |
michael@0 | 272 | |
michael@0 | 273 | kiss_fft_cpx * Fout_beg = Fout; |
michael@0 | 274 | epi3 = st->twiddles[fstride*m]; |
michael@0 | 275 | for (i=0;i<N;i++) |
michael@0 | 276 | { |
michael@0 | 277 | Fout = Fout_beg + i*mm; |
michael@0 | 278 | tw1=tw2=st->twiddles; |
michael@0 | 279 | k=m; |
michael@0 | 280 | do{ |
michael@0 | 281 | |
michael@0 | 282 | C_MULC(scratch[1],Fout[m] , *tw1); |
michael@0 | 283 | C_MULC(scratch[2],Fout[m2] , *tw2); |
michael@0 | 284 | |
michael@0 | 285 | C_ADD(scratch[3],scratch[1],scratch[2]); |
michael@0 | 286 | C_SUB(scratch[0],scratch[1],scratch[2]); |
michael@0 | 287 | tw1 += fstride; |
michael@0 | 288 | tw2 += fstride*2; |
michael@0 | 289 | |
michael@0 | 290 | Fout[m].r = Fout->r - HALF_OF(scratch[3].r); |
michael@0 | 291 | Fout[m].i = Fout->i - HALF_OF(scratch[3].i); |
michael@0 | 292 | |
michael@0 | 293 | C_MULBYSCALAR( scratch[0] , -epi3.i ); |
michael@0 | 294 | |
michael@0 | 295 | C_ADDTO(*Fout,scratch[3]); |
michael@0 | 296 | |
michael@0 | 297 | Fout[m2].r = Fout[m].r + scratch[0].i; |
michael@0 | 298 | Fout[m2].i = Fout[m].i - scratch[0].r; |
michael@0 | 299 | |
michael@0 | 300 | Fout[m].r -= scratch[0].i; |
michael@0 | 301 | Fout[m].i += scratch[0].r; |
michael@0 | 302 | |
michael@0 | 303 | ++Fout; |
michael@0 | 304 | }while(--k); |
michael@0 | 305 | } |
michael@0 | 306 | } |
michael@0 | 307 | |
michael@0 | 308 | static void kf_bfly5( |
michael@0 | 309 | kiss_fft_cpx * Fout, |
michael@0 | 310 | const size_t fstride, |
michael@0 | 311 | const kiss_fft_state *st, |
michael@0 | 312 | int m, |
michael@0 | 313 | int N, |
michael@0 | 314 | int mm |
michael@0 | 315 | ) |
michael@0 | 316 | { |
michael@0 | 317 | kiss_fft_cpx *Fout0,*Fout1,*Fout2,*Fout3,*Fout4; |
michael@0 | 318 | int i, u; |
michael@0 | 319 | kiss_fft_cpx scratch[13]; |
michael@0 | 320 | const kiss_twiddle_cpx * twiddles = st->twiddles; |
michael@0 | 321 | const kiss_twiddle_cpx *tw; |
michael@0 | 322 | kiss_twiddle_cpx ya,yb; |
michael@0 | 323 | kiss_fft_cpx * Fout_beg = Fout; |
michael@0 | 324 | |
michael@0 | 325 | ya = twiddles[fstride*m]; |
michael@0 | 326 | yb = twiddles[fstride*2*m]; |
michael@0 | 327 | tw=st->twiddles; |
michael@0 | 328 | |
michael@0 | 329 | for (i=0;i<N;i++) |
michael@0 | 330 | { |
michael@0 | 331 | Fout = Fout_beg + i*mm; |
michael@0 | 332 | Fout0=Fout; |
michael@0 | 333 | Fout1=Fout0+m; |
michael@0 | 334 | Fout2=Fout0+2*m; |
michael@0 | 335 | Fout3=Fout0+3*m; |
michael@0 | 336 | Fout4=Fout0+4*m; |
michael@0 | 337 | |
michael@0 | 338 | for ( u=0; u<m; ++u ) { |
michael@0 | 339 | C_FIXDIV( *Fout0,5); C_FIXDIV( *Fout1,5); C_FIXDIV( *Fout2,5); C_FIXDIV( *Fout3,5); C_FIXDIV( *Fout4,5); |
michael@0 | 340 | scratch[0] = *Fout0; |
michael@0 | 341 | |
michael@0 | 342 | C_MUL(scratch[1] ,*Fout1, tw[u*fstride]); |
michael@0 | 343 | C_MUL(scratch[2] ,*Fout2, tw[2*u*fstride]); |
michael@0 | 344 | C_MUL(scratch[3] ,*Fout3, tw[3*u*fstride]); |
michael@0 | 345 | C_MUL(scratch[4] ,*Fout4, tw[4*u*fstride]); |
michael@0 | 346 | |
michael@0 | 347 | C_ADD( scratch[7],scratch[1],scratch[4]); |
michael@0 | 348 | C_SUB( scratch[10],scratch[1],scratch[4]); |
michael@0 | 349 | C_ADD( scratch[8],scratch[2],scratch[3]); |
michael@0 | 350 | C_SUB( scratch[9],scratch[2],scratch[3]); |
michael@0 | 351 | |
michael@0 | 352 | Fout0->r += scratch[7].r + scratch[8].r; |
michael@0 | 353 | Fout0->i += scratch[7].i + scratch[8].i; |
michael@0 | 354 | |
michael@0 | 355 | scratch[5].r = scratch[0].r + S_MUL(scratch[7].r,ya.r) + S_MUL(scratch[8].r,yb.r); |
michael@0 | 356 | scratch[5].i = scratch[0].i + S_MUL(scratch[7].i,ya.r) + S_MUL(scratch[8].i,yb.r); |
michael@0 | 357 | |
michael@0 | 358 | scratch[6].r = S_MUL(scratch[10].i,ya.i) + S_MUL(scratch[9].i,yb.i); |
michael@0 | 359 | scratch[6].i = -S_MUL(scratch[10].r,ya.i) - S_MUL(scratch[9].r,yb.i); |
michael@0 | 360 | |
michael@0 | 361 | C_SUB(*Fout1,scratch[5],scratch[6]); |
michael@0 | 362 | C_ADD(*Fout4,scratch[5],scratch[6]); |
michael@0 | 363 | |
michael@0 | 364 | scratch[11].r = scratch[0].r + S_MUL(scratch[7].r,yb.r) + S_MUL(scratch[8].r,ya.r); |
michael@0 | 365 | scratch[11].i = scratch[0].i + S_MUL(scratch[7].i,yb.r) + S_MUL(scratch[8].i,ya.r); |
michael@0 | 366 | scratch[12].r = - S_MUL(scratch[10].i,yb.i) + S_MUL(scratch[9].i,ya.i); |
michael@0 | 367 | scratch[12].i = S_MUL(scratch[10].r,yb.i) - S_MUL(scratch[9].r,ya.i); |
michael@0 | 368 | |
michael@0 | 369 | C_ADD(*Fout2,scratch[11],scratch[12]); |
michael@0 | 370 | C_SUB(*Fout3,scratch[11],scratch[12]); |
michael@0 | 371 | |
michael@0 | 372 | ++Fout0;++Fout1;++Fout2;++Fout3;++Fout4; |
michael@0 | 373 | } |
michael@0 | 374 | } |
michael@0 | 375 | } |
michael@0 | 376 | |
michael@0 | 377 | static void ki_bfly5( |
michael@0 | 378 | kiss_fft_cpx * Fout, |
michael@0 | 379 | const size_t fstride, |
michael@0 | 380 | const kiss_fft_state *st, |
michael@0 | 381 | int m, |
michael@0 | 382 | int N, |
michael@0 | 383 | int mm |
michael@0 | 384 | ) |
michael@0 | 385 | { |
michael@0 | 386 | kiss_fft_cpx *Fout0,*Fout1,*Fout2,*Fout3,*Fout4; |
michael@0 | 387 | int i, u; |
michael@0 | 388 | kiss_fft_cpx scratch[13]; |
michael@0 | 389 | const kiss_twiddle_cpx * twiddles = st->twiddles; |
michael@0 | 390 | const kiss_twiddle_cpx *tw; |
michael@0 | 391 | kiss_twiddle_cpx ya,yb; |
michael@0 | 392 | kiss_fft_cpx * Fout_beg = Fout; |
michael@0 | 393 | |
michael@0 | 394 | ya = twiddles[fstride*m]; |
michael@0 | 395 | yb = twiddles[fstride*2*m]; |
michael@0 | 396 | tw=st->twiddles; |
michael@0 | 397 | |
michael@0 | 398 | for (i=0;i<N;i++) |
michael@0 | 399 | { |
michael@0 | 400 | Fout = Fout_beg + i*mm; |
michael@0 | 401 | Fout0=Fout; |
michael@0 | 402 | Fout1=Fout0+m; |
michael@0 | 403 | Fout2=Fout0+2*m; |
michael@0 | 404 | Fout3=Fout0+3*m; |
michael@0 | 405 | Fout4=Fout0+4*m; |
michael@0 | 406 | |
michael@0 | 407 | for ( u=0; u<m; ++u ) { |
michael@0 | 408 | scratch[0] = *Fout0; |
michael@0 | 409 | |
michael@0 | 410 | C_MULC(scratch[1] ,*Fout1, tw[u*fstride]); |
michael@0 | 411 | C_MULC(scratch[2] ,*Fout2, tw[2*u*fstride]); |
michael@0 | 412 | C_MULC(scratch[3] ,*Fout3, tw[3*u*fstride]); |
michael@0 | 413 | C_MULC(scratch[4] ,*Fout4, tw[4*u*fstride]); |
michael@0 | 414 | |
michael@0 | 415 | C_ADD( scratch[7],scratch[1],scratch[4]); |
michael@0 | 416 | C_SUB( scratch[10],scratch[1],scratch[4]); |
michael@0 | 417 | C_ADD( scratch[8],scratch[2],scratch[3]); |
michael@0 | 418 | C_SUB( scratch[9],scratch[2],scratch[3]); |
michael@0 | 419 | |
michael@0 | 420 | Fout0->r += scratch[7].r + scratch[8].r; |
michael@0 | 421 | Fout0->i += scratch[7].i + scratch[8].i; |
michael@0 | 422 | |
michael@0 | 423 | scratch[5].r = scratch[0].r + S_MUL(scratch[7].r,ya.r) + S_MUL(scratch[8].r,yb.r); |
michael@0 | 424 | scratch[5].i = scratch[0].i + S_MUL(scratch[7].i,ya.r) + S_MUL(scratch[8].i,yb.r); |
michael@0 | 425 | |
michael@0 | 426 | scratch[6].r = -S_MUL(scratch[10].i,ya.i) - S_MUL(scratch[9].i,yb.i); |
michael@0 | 427 | scratch[6].i = S_MUL(scratch[10].r,ya.i) + S_MUL(scratch[9].r,yb.i); |
michael@0 | 428 | |
michael@0 | 429 | C_SUB(*Fout1,scratch[5],scratch[6]); |
michael@0 | 430 | C_ADD(*Fout4,scratch[5],scratch[6]); |
michael@0 | 431 | |
michael@0 | 432 | scratch[11].r = scratch[0].r + S_MUL(scratch[7].r,yb.r) + S_MUL(scratch[8].r,ya.r); |
michael@0 | 433 | scratch[11].i = scratch[0].i + S_MUL(scratch[7].i,yb.r) + S_MUL(scratch[8].i,ya.r); |
michael@0 | 434 | scratch[12].r = S_MUL(scratch[10].i,yb.i) - S_MUL(scratch[9].i,ya.i); |
michael@0 | 435 | scratch[12].i = -S_MUL(scratch[10].r,yb.i) + S_MUL(scratch[9].r,ya.i); |
michael@0 | 436 | |
michael@0 | 437 | C_ADD(*Fout2,scratch[11],scratch[12]); |
michael@0 | 438 | C_SUB(*Fout3,scratch[11],scratch[12]); |
michael@0 | 439 | |
michael@0 | 440 | ++Fout0;++Fout1;++Fout2;++Fout3;++Fout4; |
michael@0 | 441 | } |
michael@0 | 442 | } |
michael@0 | 443 | } |
michael@0 | 444 | |
michael@0 | 445 | #endif |
michael@0 | 446 | |
michael@0 | 447 | |
michael@0 | 448 | #ifdef CUSTOM_MODES |
michael@0 | 449 | |
michael@0 | 450 | static |
michael@0 | 451 | void compute_bitrev_table( |
michael@0 | 452 | int Fout, |
michael@0 | 453 | opus_int16 *f, |
michael@0 | 454 | const size_t fstride, |
michael@0 | 455 | int in_stride, |
michael@0 | 456 | opus_int16 * factors, |
michael@0 | 457 | const kiss_fft_state *st |
michael@0 | 458 | ) |
michael@0 | 459 | { |
michael@0 | 460 | const int p=*factors++; /* the radix */ |
michael@0 | 461 | const int m=*factors++; /* stage's fft length/p */ |
michael@0 | 462 | |
michael@0 | 463 | /*printf ("fft %d %d %d %d %d %d\n", p*m, m, p, s2, fstride*in_stride, N);*/ |
michael@0 | 464 | if (m==1) |
michael@0 | 465 | { |
michael@0 | 466 | int j; |
michael@0 | 467 | for (j=0;j<p;j++) |
michael@0 | 468 | { |
michael@0 | 469 | *f = Fout+j; |
michael@0 | 470 | f += fstride*in_stride; |
michael@0 | 471 | } |
michael@0 | 472 | } else { |
michael@0 | 473 | int j; |
michael@0 | 474 | for (j=0;j<p;j++) |
michael@0 | 475 | { |
michael@0 | 476 | compute_bitrev_table( Fout , f, fstride*p, in_stride, factors,st); |
michael@0 | 477 | f += fstride*in_stride; |
michael@0 | 478 | Fout += m; |
michael@0 | 479 | } |
michael@0 | 480 | } |
michael@0 | 481 | } |
michael@0 | 482 | |
michael@0 | 483 | /* facbuf is populated by p1,m1,p2,m2, ... |
michael@0 | 484 | where |
michael@0 | 485 | p[i] * m[i] = m[i-1] |
michael@0 | 486 | m0 = n */ |
michael@0 | 487 | static |
michael@0 | 488 | int kf_factor(int n,opus_int16 * facbuf) |
michael@0 | 489 | { |
michael@0 | 490 | int p=4; |
michael@0 | 491 | |
michael@0 | 492 | /*factor out powers of 4, powers of 2, then any remaining primes */ |
michael@0 | 493 | do { |
michael@0 | 494 | while (n % p) { |
michael@0 | 495 | switch (p) { |
michael@0 | 496 | case 4: p = 2; break; |
michael@0 | 497 | case 2: p = 3; break; |
michael@0 | 498 | default: p += 2; break; |
michael@0 | 499 | } |
michael@0 | 500 | if (p>32000 || (opus_int32)p*(opus_int32)p > n) |
michael@0 | 501 | p = n; /* no more factors, skip to end */ |
michael@0 | 502 | } |
michael@0 | 503 | n /= p; |
michael@0 | 504 | #ifdef RADIX_TWO_ONLY |
michael@0 | 505 | if (p!=2 && p != 4) |
michael@0 | 506 | #else |
michael@0 | 507 | if (p>5) |
michael@0 | 508 | #endif |
michael@0 | 509 | { |
michael@0 | 510 | return 0; |
michael@0 | 511 | } |
michael@0 | 512 | *facbuf++ = p; |
michael@0 | 513 | *facbuf++ = n; |
michael@0 | 514 | } while (n > 1); |
michael@0 | 515 | return 1; |
michael@0 | 516 | } |
michael@0 | 517 | |
michael@0 | 518 | static void compute_twiddles(kiss_twiddle_cpx *twiddles, int nfft) |
michael@0 | 519 | { |
michael@0 | 520 | int i; |
michael@0 | 521 | #ifdef FIXED_POINT |
michael@0 | 522 | for (i=0;i<nfft;++i) { |
michael@0 | 523 | opus_val32 phase = -i; |
michael@0 | 524 | kf_cexp2(twiddles+i, DIV32(SHL32(phase,17),nfft)); |
michael@0 | 525 | } |
michael@0 | 526 | #else |
michael@0 | 527 | for (i=0;i<nfft;++i) { |
michael@0 | 528 | const double pi=3.14159265358979323846264338327; |
michael@0 | 529 | double phase = ( -2*pi /nfft ) * i; |
michael@0 | 530 | kf_cexp(twiddles+i, phase ); |
michael@0 | 531 | } |
michael@0 | 532 | #endif |
michael@0 | 533 | } |
michael@0 | 534 | |
michael@0 | 535 | /* |
michael@0 | 536 | * |
michael@0 | 537 | * Allocates all necessary storage space for the fft and ifft. |
michael@0 | 538 | * The return value is a contiguous block of memory. As such, |
michael@0 | 539 | * It can be freed with free(). |
michael@0 | 540 | * */ |
michael@0 | 541 | kiss_fft_state *opus_fft_alloc_twiddles(int nfft,void * mem,size_t * lenmem, const kiss_fft_state *base) |
michael@0 | 542 | { |
michael@0 | 543 | kiss_fft_state *st=NULL; |
michael@0 | 544 | size_t memneeded = sizeof(struct kiss_fft_state); /* twiddle factors*/ |
michael@0 | 545 | |
michael@0 | 546 | if ( lenmem==NULL ) { |
michael@0 | 547 | st = ( kiss_fft_state*)KISS_FFT_MALLOC( memneeded ); |
michael@0 | 548 | }else{ |
michael@0 | 549 | if (mem != NULL && *lenmem >= memneeded) |
michael@0 | 550 | st = (kiss_fft_state*)mem; |
michael@0 | 551 | *lenmem = memneeded; |
michael@0 | 552 | } |
michael@0 | 553 | if (st) { |
michael@0 | 554 | opus_int16 *bitrev; |
michael@0 | 555 | kiss_twiddle_cpx *twiddles; |
michael@0 | 556 | |
michael@0 | 557 | st->nfft=nfft; |
michael@0 | 558 | #ifndef FIXED_POINT |
michael@0 | 559 | st->scale = 1.f/nfft; |
michael@0 | 560 | #endif |
michael@0 | 561 | if (base != NULL) |
michael@0 | 562 | { |
michael@0 | 563 | st->twiddles = base->twiddles; |
michael@0 | 564 | st->shift = 0; |
michael@0 | 565 | while (nfft<<st->shift != base->nfft && st->shift < 32) |
michael@0 | 566 | st->shift++; |
michael@0 | 567 | if (st->shift>=32) |
michael@0 | 568 | goto fail; |
michael@0 | 569 | } else { |
michael@0 | 570 | st->twiddles = twiddles = (kiss_twiddle_cpx*)KISS_FFT_MALLOC(sizeof(kiss_twiddle_cpx)*nfft); |
michael@0 | 571 | compute_twiddles(twiddles, nfft); |
michael@0 | 572 | st->shift = -1; |
michael@0 | 573 | } |
michael@0 | 574 | if (!kf_factor(nfft,st->factors)) |
michael@0 | 575 | { |
michael@0 | 576 | goto fail; |
michael@0 | 577 | } |
michael@0 | 578 | |
michael@0 | 579 | /* bitrev */ |
michael@0 | 580 | st->bitrev = bitrev = (opus_int16*)KISS_FFT_MALLOC(sizeof(opus_int16)*nfft); |
michael@0 | 581 | if (st->bitrev==NULL) |
michael@0 | 582 | goto fail; |
michael@0 | 583 | compute_bitrev_table(0, bitrev, 1,1, st->factors,st); |
michael@0 | 584 | } |
michael@0 | 585 | return st; |
michael@0 | 586 | fail: |
michael@0 | 587 | opus_fft_free(st); |
michael@0 | 588 | return NULL; |
michael@0 | 589 | } |
michael@0 | 590 | |
michael@0 | 591 | kiss_fft_state *opus_fft_alloc(int nfft,void * mem,size_t * lenmem ) |
michael@0 | 592 | { |
michael@0 | 593 | return opus_fft_alloc_twiddles(nfft, mem, lenmem, NULL); |
michael@0 | 594 | } |
michael@0 | 595 | |
michael@0 | 596 | void opus_fft_free(const kiss_fft_state *cfg) |
michael@0 | 597 | { |
michael@0 | 598 | if (cfg) |
michael@0 | 599 | { |
michael@0 | 600 | opus_free((opus_int16*)cfg->bitrev); |
michael@0 | 601 | if (cfg->shift < 0) |
michael@0 | 602 | opus_free((kiss_twiddle_cpx*)cfg->twiddles); |
michael@0 | 603 | opus_free((kiss_fft_state*)cfg); |
michael@0 | 604 | } |
michael@0 | 605 | } |
michael@0 | 606 | |
michael@0 | 607 | #endif /* CUSTOM_MODES */ |
michael@0 | 608 | |
michael@0 | 609 | void opus_fft(const kiss_fft_state *st,const kiss_fft_cpx *fin,kiss_fft_cpx *fout) |
michael@0 | 610 | { |
michael@0 | 611 | int m2, m; |
michael@0 | 612 | int p; |
michael@0 | 613 | int L; |
michael@0 | 614 | int fstride[MAXFACTORS]; |
michael@0 | 615 | int i; |
michael@0 | 616 | int shift; |
michael@0 | 617 | |
michael@0 | 618 | /* st->shift can be -1 */ |
michael@0 | 619 | shift = st->shift>0 ? st->shift : 0; |
michael@0 | 620 | |
michael@0 | 621 | celt_assert2 (fin != fout, "In-place FFT not supported"); |
michael@0 | 622 | /* Bit-reverse the input */ |
michael@0 | 623 | for (i=0;i<st->nfft;i++) |
michael@0 | 624 | { |
michael@0 | 625 | fout[st->bitrev[i]] = fin[i]; |
michael@0 | 626 | #ifndef FIXED_POINT |
michael@0 | 627 | fout[st->bitrev[i]].r *= st->scale; |
michael@0 | 628 | fout[st->bitrev[i]].i *= st->scale; |
michael@0 | 629 | #endif |
michael@0 | 630 | } |
michael@0 | 631 | |
michael@0 | 632 | fstride[0] = 1; |
michael@0 | 633 | L=0; |
michael@0 | 634 | do { |
michael@0 | 635 | p = st->factors[2*L]; |
michael@0 | 636 | m = st->factors[2*L+1]; |
michael@0 | 637 | fstride[L+1] = fstride[L]*p; |
michael@0 | 638 | L++; |
michael@0 | 639 | } while(m!=1); |
michael@0 | 640 | m = st->factors[2*L-1]; |
michael@0 | 641 | for (i=L-1;i>=0;i--) |
michael@0 | 642 | { |
michael@0 | 643 | if (i!=0) |
michael@0 | 644 | m2 = st->factors[2*i-1]; |
michael@0 | 645 | else |
michael@0 | 646 | m2 = 1; |
michael@0 | 647 | switch (st->factors[2*i]) |
michael@0 | 648 | { |
michael@0 | 649 | case 2: |
michael@0 | 650 | kf_bfly2(fout,fstride[i]<<shift,st,m, fstride[i], m2); |
michael@0 | 651 | break; |
michael@0 | 652 | case 4: |
michael@0 | 653 | kf_bfly4(fout,fstride[i]<<shift,st,m, fstride[i], m2); |
michael@0 | 654 | break; |
michael@0 | 655 | #ifndef RADIX_TWO_ONLY |
michael@0 | 656 | case 3: |
michael@0 | 657 | kf_bfly3(fout,fstride[i]<<shift,st,m, fstride[i], m2); |
michael@0 | 658 | break; |
michael@0 | 659 | case 5: |
michael@0 | 660 | kf_bfly5(fout,fstride[i]<<shift,st,m, fstride[i], m2); |
michael@0 | 661 | break; |
michael@0 | 662 | #endif |
michael@0 | 663 | } |
michael@0 | 664 | m = m2; |
michael@0 | 665 | } |
michael@0 | 666 | } |
michael@0 | 667 | |
michael@0 | 668 | void opus_ifft(const kiss_fft_state *st,const kiss_fft_cpx *fin,kiss_fft_cpx *fout) |
michael@0 | 669 | { |
michael@0 | 670 | int m2, m; |
michael@0 | 671 | int p; |
michael@0 | 672 | int L; |
michael@0 | 673 | int fstride[MAXFACTORS]; |
michael@0 | 674 | int i; |
michael@0 | 675 | int shift; |
michael@0 | 676 | |
michael@0 | 677 | /* st->shift can be -1 */ |
michael@0 | 678 | shift = st->shift>0 ? st->shift : 0; |
michael@0 | 679 | celt_assert2 (fin != fout, "In-place FFT not supported"); |
michael@0 | 680 | /* Bit-reverse the input */ |
michael@0 | 681 | for (i=0;i<st->nfft;i++) |
michael@0 | 682 | fout[st->bitrev[i]] = fin[i]; |
michael@0 | 683 | |
michael@0 | 684 | fstride[0] = 1; |
michael@0 | 685 | L=0; |
michael@0 | 686 | do { |
michael@0 | 687 | p = st->factors[2*L]; |
michael@0 | 688 | m = st->factors[2*L+1]; |
michael@0 | 689 | fstride[L+1] = fstride[L]*p; |
michael@0 | 690 | L++; |
michael@0 | 691 | } while(m!=1); |
michael@0 | 692 | m = st->factors[2*L-1]; |
michael@0 | 693 | for (i=L-1;i>=0;i--) |
michael@0 | 694 | { |
michael@0 | 695 | if (i!=0) |
michael@0 | 696 | m2 = st->factors[2*i-1]; |
michael@0 | 697 | else |
michael@0 | 698 | m2 = 1; |
michael@0 | 699 | switch (st->factors[2*i]) |
michael@0 | 700 | { |
michael@0 | 701 | case 2: |
michael@0 | 702 | ki_bfly2(fout,fstride[i]<<shift,st,m, fstride[i], m2); |
michael@0 | 703 | break; |
michael@0 | 704 | case 4: |
michael@0 | 705 | ki_bfly4(fout,fstride[i]<<shift,st,m, fstride[i], m2); |
michael@0 | 706 | break; |
michael@0 | 707 | #ifndef RADIX_TWO_ONLY |
michael@0 | 708 | case 3: |
michael@0 | 709 | ki_bfly3(fout,fstride[i]<<shift,st,m, fstride[i], m2); |
michael@0 | 710 | break; |
michael@0 | 711 | case 5: |
michael@0 | 712 | ki_bfly5(fout,fstride[i]<<shift,st,m, fstride[i], m2); |
michael@0 | 713 | break; |
michael@0 | 714 | #endif |
michael@0 | 715 | } |
michael@0 | 716 | m = m2; |
michael@0 | 717 | } |
michael@0 | 718 | } |
michael@0 | 719 |