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annotate src/fftw-3.3.5/rdft/scalar/r2cf/r2cf_13.c @ 56:af97cad61ff0

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Add updated build of PortAudio for OSX
author Chris Cannam <cannam@all-day-breakfast.com>
date Tue, 03 Jan 2017 15:10:52 +0000
parents 2cd0e3b3e1fd
children
rev   line source
Chris@42 1 /*
Chris@42 2 * Copyright (c) 2003, 2007-14 Matteo Frigo
Chris@42 3 * Copyright (c) 2003, 2007-14 Massachusetts Institute of Technology
Chris@42 4 *
Chris@42 5 * This program is free software; you can redistribute it and/or modify
Chris@42 6 * it under the terms of the GNU General Public License as published by
Chris@42 7 * the Free Software Foundation; either version 2 of the License, or
Chris@42 8 * (at your option) any later version.
Chris@42 9 *
Chris@42 10 * This program is distributed in the hope that it will be useful,
Chris@42 11 * but WITHOUT ANY WARRANTY; without even the implied warranty of
Chris@42 12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
Chris@42 13 * GNU General Public License for more details.
Chris@42 14 *
Chris@42 15 * You should have received a copy of the GNU General Public License
Chris@42 16 * along with this program; if not, write to the Free Software
Chris@42 17 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
Chris@42 18 *
Chris@42 19 */
Chris@42 20
Chris@42 21 /* This file was automatically generated --- DO NOT EDIT */
Chris@42 22 /* Generated on Sat Jul 30 16:46:05 EDT 2016 */
Chris@42 23
Chris@42 24 #include "codelet-rdft.h"
Chris@42 25
Chris@42 26 #ifdef HAVE_FMA
Chris@42 27
Chris@42 28 /* Generated by: ../../../genfft/gen_r2cf.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 13 -name r2cf_13 -include r2cf.h */
Chris@42 29
Chris@42 30 /*
Chris@42 31 * This function contains 76 FP additions, 51 FP multiplications,
Chris@42 32 * (or, 31 additions, 6 multiplications, 45 fused multiply/add),
Chris@42 33 * 68 stack variables, 23 constants, and 26 memory accesses
Chris@42 34 */
Chris@42 35 #include "r2cf.h"
Chris@42 36
Chris@42 37 static void r2cf_13(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
Chris@42 38 {
Chris@42 39 DK(KP516520780, +0.516520780623489722840901288569017135705033622);
Chris@42 40 DK(KP300462606, +0.300462606288665774426601772289207995520941381);
Chris@42 41 DK(KP581704778, +0.581704778510515730456870384989698884939833902);
Chris@42 42 DK(KP859542535, +0.859542535098774820163672132761689612766401925);
Chris@42 43 DK(KP769338817, +0.769338817572980603471413688209101117038278899);
Chris@42 44 DK(KP686558370, +0.686558370781754340655719594850823015421401653);
Chris@42 45 DK(KP514918778, +0.514918778086315755491789696138117261566051239);
Chris@42 46 DK(KP251768516, +0.251768516431883313623436926934233488546674281);
Chris@42 47 DK(KP503537032, +0.503537032863766627246873853868466977093348562);
Chris@42 48 DK(KP904176221, +0.904176221990848204433795481776887926501523162);
Chris@42 49 DK(KP575140729, +0.575140729474003121368385547455453388461001608);
Chris@42 50 DK(KP957805992, +0.957805992594665126462521754605754580515587217);
Chris@42 51 DK(KP600477271, +0.600477271932665282925769253334763009352012849);
Chris@42 52 DK(KP522026385, +0.522026385161275033714027226654165028300441940);
Chris@42 53 DK(KP301479260, +0.301479260047709873958013540496673347309208464);
Chris@42 54 DK(KP226109445, +0.226109445035782405468510155372505010481906348);
Chris@42 55 DK(KP853480001, +0.853480001859823990758994934970528322872359049);
Chris@42 56 DK(KP083333333, +0.083333333333333333333333333333333333333333333);
Chris@42 57 DK(KP612264650, +0.612264650376756543746494474777125408779395514);
Chris@42 58 DK(KP038632954, +0.038632954644348171955506895830342264440241080);
Chris@42 59 DK(KP302775637, +0.302775637731994646559610633735247973125648287);
Chris@42 60 DK(KP866025403, +0.866025403784438646763723170752936183471402627);
Chris@42 61 DK(KP500000000, +0.500000000000000000000000000000000000000000000);
Chris@42 62 {
Chris@42 63 INT i;
Chris@42 64 for (i = v; i > 0; i = i - 1, R0 = R0 + ivs, R1 = R1 + ivs, Cr = Cr + ovs, Ci = Ci + ovs, MAKE_VOLATILE_STRIDE(52, rs), MAKE_VOLATILE_STRIDE(52, csr), MAKE_VOLATILE_STRIDE(52, csi)) {
Chris@42 65 E T15, T1a, T11, T17, T14, T1b;
Chris@42 66 {
Chris@42 67 E TN, TD, TV, TA, Tb, TZ, T12, TS, Tx, Tu, Ti, TU;
Chris@42 68 TN = R0[0];
Chris@42 69 {
Chris@42 70 E T3, TP, Th, TB, Tp, Te, Tm, TC, Tr, T6, T9, Ts;
Chris@42 71 {
Chris@42 72 E Tn, Tf, Tg, T1, T2;
Chris@42 73 T1 = R0[WS(rs, 4)];
Chris@42 74 T2 = R1[WS(rs, 2)];
Chris@42 75 Tn = R0[WS(rs, 6)];
Chris@42 76 Tf = R0[WS(rs, 5)];
Chris@42 77 Tg = R0[WS(rs, 2)];
Chris@42 78 T3 = T1 - T2;
Chris@42 79 TP = T1 + T2;
Chris@42 80 {
Chris@42 81 E Tk, To, Tc, Td;
Chris@42 82 Tk = R1[0];
Chris@42 83 Th = Tf - Tg;
Chris@42 84 To = Tf + Tg;
Chris@42 85 Tc = R1[WS(rs, 4)];
Chris@42 86 Td = R1[WS(rs, 1)];
Chris@42 87 {
Chris@42 88 E T4, Tl, T5, T7, T8;
Chris@42 89 T4 = R1[WS(rs, 5)];
Chris@42 90 TB = Tn + To;
Chris@42 91 Tp = FMS(KP500000000, To, Tn);
Chris@42 92 Tl = Td + Tc;
Chris@42 93 Te = Tc - Td;
Chris@42 94 T5 = R0[WS(rs, 3)];
Chris@42 95 T7 = R1[WS(rs, 3)];
Chris@42 96 T8 = R0[WS(rs, 1)];
Chris@42 97 Tm = FNMS(KP500000000, Tl, Tk);
Chris@42 98 TC = Tk + Tl;
Chris@42 99 Tr = T4 + T5;
Chris@42 100 T6 = T4 - T5;
Chris@42 101 T9 = T7 - T8;
Chris@42 102 Ts = T7 + T8;
Chris@42 103 }
Chris@42 104 }
Chris@42 105 }
Chris@42 106 {
Chris@42 107 E TO, Ta, Tt, TQ;
Chris@42 108 TD = TB - TC;
Chris@42 109 TO = TC + TB;
Chris@42 110 Ta = T6 + T9;
Chris@42 111 TV = T6 - T9;
Chris@42 112 Tt = Tr - Ts;
Chris@42 113 TQ = Tr + Ts;
Chris@42 114 {
Chris@42 115 E TX, Tq, TR, TY;
Chris@42 116 TX = Tm - Tp;
Chris@42 117 Tq = Tm + Tp;
Chris@42 118 TA = T3 + Ta;
Chris@42 119 Tb = FNMS(KP500000000, Ta, T3);
Chris@42 120 TR = TP + TQ;
Chris@42 121 TY = FNMS(KP500000000, TQ, TP);
Chris@42 122 TZ = TX + TY;
Chris@42 123 T12 = TX - TY;
Chris@42 124 T15 = TO - TR;
Chris@42 125 TS = TO + TR;
Chris@42 126 Tx = FNMS(KP866025403, Tt, Tq);
Chris@42 127 Tu = FMA(KP866025403, Tt, Tq);
Chris@42 128 Ti = Te + Th;
Chris@42 129 TU = Th - Te;
Chris@42 130 }
Chris@42 131 }
Chris@42 132 }
Chris@42 133 Cr[0] = TN + TS;
Chris@42 134 {
Chris@42 135 E Tw, Tj, T13, TW;
Chris@42 136 Tw = FNMS(KP866025403, Ti, Tb);
Chris@42 137 Tj = FMA(KP866025403, Ti, Tb);
Chris@42 138 T13 = TU - TV;
Chris@42 139 TW = TU + TV;
Chris@42 140 {
Chris@42 141 E TE, TI, Tv, TF, TG, Ty;
Chris@42 142 TE = FMA(KP302775637, TD, TA);
Chris@42 143 TI = FNMS(KP302775637, TA, TD);
Chris@42 144 Tv = FMA(KP038632954, Tu, Tj);
Chris@42 145 TF = FNMS(KP038632954, Tj, Tu);
Chris@42 146 TG = FNMS(KP612264650, Tw, Tx);
Chris@42 147 Ty = FMA(KP612264650, Tx, Tw);
Chris@42 148 {
Chris@42 149 E TT, Tz, TK, TH, TM, T10, TL, TJ;
Chris@42 150 TT = FNMS(KP083333333, TS, TN);
Chris@42 151 Tz = FNMS(KP853480001, Ty, Tv);
Chris@42 152 TK = FMA(KP853480001, Ty, Tv);
Chris@42 153 TH = FNMS(KP853480001, TG, TF);
Chris@42 154 TM = FMA(KP853480001, TG, TF);
Chris@42 155 T1a = FNMS(KP226109445, TW, TZ);
Chris@42 156 T10 = FMA(KP301479260, TZ, TW);
Chris@42 157 TL = FNMS(KP522026385, Tz, TE);
Chris@42 158 Ci[WS(csi, 1)] = KP600477271 * (FMA(KP957805992, TE, Tz));
Chris@42 159 TJ = FMA(KP522026385, TH, TI);
Chris@42 160 Ci[WS(csi, 5)] = -(KP600477271 * (FNMS(KP957805992, TI, TH)));
Chris@42 161 Ci[WS(csi, 4)] = -(KP575140729 * (FMA(KP904176221, TM, TL)));
Chris@42 162 Ci[WS(csi, 3)] = KP575140729 * (FNMS(KP904176221, TM, TL));
Chris@42 163 Ci[WS(csi, 6)] = KP575140729 * (FMA(KP904176221, TK, TJ));
Chris@42 164 Ci[WS(csi, 2)] = KP575140729 * (FNMS(KP904176221, TK, TJ));
Chris@42 165 T11 = FMA(KP503537032, T10, TT);
Chris@42 166 T17 = FNMS(KP251768516, T10, TT);
Chris@42 167 }
Chris@42 168 T14 = FNMS(KP514918778, T13, T12);
Chris@42 169 T1b = FMA(KP686558370, T12, T13);
Chris@42 170 }
Chris@42 171 }
Chris@42 172 }
Chris@42 173 {
Chris@42 174 E T1e, T1c, T18, T16, T1d, T19;
Chris@42 175 T1e = FMA(KP769338817, T1b, T1a);
Chris@42 176 T1c = FNMS(KP769338817, T1b, T1a);
Chris@42 177 T18 = FNMS(KP859542535, T14, T15);
Chris@42 178 T16 = FMA(KP581704778, T15, T14);
Chris@42 179 T1d = FNMS(KP300462606, T18, T17);
Chris@42 180 T19 = FMA(KP300462606, T18, T17);
Chris@42 181 Cr[WS(csr, 1)] = FMA(KP516520780, T16, T11);
Chris@42 182 Cr[WS(csr, 5)] = FNMS(KP516520780, T16, T11);
Chris@42 183 Cr[WS(csr, 2)] = FMA(KP503537032, T1e, T1d);
Chris@42 184 Cr[WS(csr, 6)] = FNMS(KP503537032, T1e, T1d);
Chris@42 185 Cr[WS(csr, 3)] = FMA(KP503537032, T1c, T19);
Chris@42 186 Cr[WS(csr, 4)] = FNMS(KP503537032, T1c, T19);
Chris@42 187 }
Chris@42 188 }
Chris@42 189 }
Chris@42 190 }
Chris@42 191
Chris@42 192 static const kr2c_desc desc = { 13, "r2cf_13", {31, 6, 45, 0}, &GENUS };
Chris@42 193
Chris@42 194 void X(codelet_r2cf_13) (planner *p) {
Chris@42 195 X(kr2c_register) (p, r2cf_13, &desc);
Chris@42 196 }
Chris@42 197
Chris@42 198 #else /* HAVE_FMA */
Chris@42 199
Chris@42 200 /* Generated by: ../../../genfft/gen_r2cf.native -compact -variables 4 -pipeline-latency 4 -n 13 -name r2cf_13 -include r2cf.h */
Chris@42 201
Chris@42 202 /*
Chris@42 203 * This function contains 76 FP additions, 34 FP multiplications,
Chris@42 204 * (or, 57 additions, 15 multiplications, 19 fused multiply/add),
Chris@42 205 * 55 stack variables, 20 constants, and 26 memory accesses
Chris@42 206 */
Chris@42 207 #include "r2cf.h"
Chris@42 208
Chris@42 209 static void r2cf_13(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
Chris@42 210 {
Chris@42 211 DK(KP083333333, +0.083333333333333333333333333333333333333333333);
Chris@42 212 DK(KP075902986, +0.075902986037193865983102897245103540356428373);
Chris@42 213 DK(KP251768516, +0.251768516431883313623436926934233488546674281);
Chris@42 214 DK(KP503537032, +0.503537032863766627246873853868466977093348562);
Chris@42 215 DK(KP113854479, +0.113854479055790798974654345867655310534642560);
Chris@42 216 DK(KP265966249, +0.265966249214837287587521063842185948798330267);
Chris@42 217 DK(KP387390585, +0.387390585467617292130675966426762851778775217);
Chris@42 218 DK(KP300462606, +0.300462606288665774426601772289207995520941381);
Chris@42 219 DK(KP132983124, +0.132983124607418643793760531921092974399165133);
Chris@42 220 DK(KP258260390, +0.258260390311744861420450644284508567852516811);
Chris@42 221 DK(KP2_000000000, +2.000000000000000000000000000000000000000000000);
Chris@42 222 DK(KP1_732050807, +1.732050807568877293527446341505872366942805254);
Chris@42 223 DK(KP300238635, +0.300238635966332641462884626667381504676006424);
Chris@42 224 DK(KP011599105, +0.011599105605768290721655456654083252189827041);
Chris@42 225 DK(KP156891391, +0.156891391051584611046832726756003269660212636);
Chris@42 226 DK(KP256247671, +0.256247671582936600958684654061725059144125175);
Chris@42 227 DK(KP174138601, +0.174138601152135905005660794929264742616964676);
Chris@42 228 DK(KP575140729, +0.575140729474003121368385547455453388461001608);
Chris@42 229 DK(KP866025403, +0.866025403784438646763723170752936183471402627);
Chris@42 230 DK(KP500000000, +0.500000000000000000000000000000000000000000000);
Chris@42 231 {
Chris@42 232 INT i;
Chris@42 233 for (i = v; i > 0; i = i - 1, R0 = R0 + ivs, R1 = R1 + ivs, Cr = Cr + ovs, Ci = Ci + ovs, MAKE_VOLATILE_STRIDE(52, rs), MAKE_VOLATILE_STRIDE(52, csr), MAKE_VOLATILE_STRIDE(52, csi)) {
Chris@42 234 E T13, Tb, Tm, TW, TX, T14, TU, T10, Tz, TB, Tu, TC, TR, T11;
Chris@42 235 T13 = R0[0];
Chris@42 236 {
Chris@42 237 E Te, TO, Ta, Tv, To, T5, Tw, Tp, Th, Tr, Tk, Ts, Tl, TP, Tc;
Chris@42 238 E Td;
Chris@42 239 Tc = R0[WS(rs, 4)];
Chris@42 240 Td = R1[WS(rs, 2)];
Chris@42 241 Te = Tc - Td;
Chris@42 242 TO = Tc + Td;
Chris@42 243 {
Chris@42 244 E T6, T7, T8, T9;
Chris@42 245 T6 = R1[0];
Chris@42 246 T7 = R1[WS(rs, 1)];
Chris@42 247 T8 = R1[WS(rs, 4)];
Chris@42 248 T9 = T7 + T8;
Chris@42 249 Ta = T6 + T9;
Chris@42 250 Tv = T7 - T8;
Chris@42 251 To = FNMS(KP500000000, T9, T6);
Chris@42 252 }
Chris@42 253 {
Chris@42 254 E T1, T2, T3, T4;
Chris@42 255 T1 = R0[WS(rs, 6)];
Chris@42 256 T2 = R0[WS(rs, 5)];
Chris@42 257 T3 = R0[WS(rs, 2)];
Chris@42 258 T4 = T2 + T3;
Chris@42 259 T5 = T1 + T4;
Chris@42 260 Tw = T2 - T3;
Chris@42 261 Tp = FNMS(KP500000000, T4, T1);
Chris@42 262 }
Chris@42 263 {
Chris@42 264 E Tf, Tg, Ti, Tj;
Chris@42 265 Tf = R1[WS(rs, 5)];
Chris@42 266 Tg = R0[WS(rs, 3)];
Chris@42 267 Th = Tf - Tg;
Chris@42 268 Tr = Tf + Tg;
Chris@42 269 Ti = R1[WS(rs, 3)];
Chris@42 270 Tj = R0[WS(rs, 1)];
Chris@42 271 Tk = Ti - Tj;
Chris@42 272 Ts = Ti + Tj;
Chris@42 273 }
Chris@42 274 Tl = Th + Tk;
Chris@42 275 TP = Tr + Ts;
Chris@42 276 Tb = T5 - Ta;
Chris@42 277 Tm = Te + Tl;
Chris@42 278 TW = Ta + T5;
Chris@42 279 TX = TO + TP;
Chris@42 280 T14 = TW + TX;
Chris@42 281 {
Chris@42 282 E TS, TT, Tx, Ty;
Chris@42 283 TS = Tv + Tw;
Chris@42 284 TT = Th - Tk;
Chris@42 285 TU = TS - TT;
Chris@42 286 T10 = TS + TT;
Chris@42 287 Tx = KP866025403 * (Tv - Tw);
Chris@42 288 Ty = FNMS(KP500000000, Tl, Te);
Chris@42 289 Tz = Tx + Ty;
Chris@42 290 TB = Ty - Tx;
Chris@42 291 }
Chris@42 292 {
Chris@42 293 E Tq, Tt, TN, TQ;
Chris@42 294 Tq = To - Tp;
Chris@42 295 Tt = KP866025403 * (Tr - Ts);
Chris@42 296 Tu = Tq - Tt;
Chris@42 297 TC = Tq + Tt;
Chris@42 298 TN = To + Tp;
Chris@42 299 TQ = FNMS(KP500000000, TP, TO);
Chris@42 300 TR = TN - TQ;
Chris@42 301 T11 = TN + TQ;
Chris@42 302 }
Chris@42 303 }
Chris@42 304 Cr[0] = T13 + T14;
Chris@42 305 {
Chris@42 306 E Tn, TG, TE, TF, TJ, TM, TK, TL;
Chris@42 307 Tn = FNMS(KP174138601, Tm, KP575140729 * Tb);
Chris@42 308 TG = FMA(KP174138601, Tb, KP575140729 * Tm);
Chris@42 309 {
Chris@42 310 E TA, TD, TH, TI;
Chris@42 311 TA = FNMS(KP156891391, Tz, KP256247671 * Tu);
Chris@42 312 TD = FNMS(KP300238635, TC, KP011599105 * TB);
Chris@42 313 TE = TA + TD;
Chris@42 314 TF = KP1_732050807 * (TD - TA);
Chris@42 315 TH = FMA(KP300238635, TB, KP011599105 * TC);
Chris@42 316 TI = FMA(KP256247671, Tz, KP156891391 * Tu);
Chris@42 317 TJ = TH - TI;
Chris@42 318 TM = KP1_732050807 * (TI + TH);
Chris@42 319 }
Chris@42 320 Ci[WS(csi, 5)] = FMA(KP2_000000000, TE, Tn);
Chris@42 321 Ci[WS(csi, 1)] = FMA(KP2_000000000, TJ, TG);
Chris@42 322 TK = TG - TJ;
Chris@42 323 Ci[WS(csi, 4)] = TF - TK;
Chris@42 324 Ci[WS(csi, 3)] = TF + TK;
Chris@42 325 TL = Tn - TE;
Chris@42 326 Ci[WS(csi, 2)] = TL - TM;
Chris@42 327 Ci[WS(csi, 6)] = TL + TM;
Chris@42 328 }
Chris@42 329 {
Chris@42 330 E TZ, T1b, T19, T1e, T16, T1a, TV, TY, T1c, T1d;
Chris@42 331 TV = FNMS(KP132983124, TU, KP258260390 * TR);
Chris@42 332 TY = KP300462606 * (TW - TX);
Chris@42 333 TZ = FMA(KP2_000000000, TV, TY);
Chris@42 334 T1b = TY - TV;
Chris@42 335 {
Chris@42 336 E T17, T18, T12, T15;
Chris@42 337 T17 = FMA(KP387390585, TU, KP265966249 * TR);
Chris@42 338 T18 = FNMS(KP503537032, T11, KP113854479 * T10);
Chris@42 339 T19 = T17 - T18;
Chris@42 340 T1e = T17 + T18;
Chris@42 341 T12 = FMA(KP251768516, T10, KP075902986 * T11);
Chris@42 342 T15 = FNMS(KP083333333, T14, T13);
Chris@42 343 T16 = FMA(KP2_000000000, T12, T15);
Chris@42 344 T1a = T15 - T12;
Chris@42 345 }
Chris@42 346 Cr[WS(csr, 1)] = TZ + T16;
Chris@42 347 Cr[WS(csr, 5)] = T16 - TZ;
Chris@42 348 T1c = T1a - T1b;
Chris@42 349 Cr[WS(csr, 2)] = T19 + T1c;
Chris@42 350 Cr[WS(csr, 6)] = T1c - T19;
Chris@42 351 T1d = T1b + T1a;
Chris@42 352 Cr[WS(csr, 3)] = T1d - T1e;
Chris@42 353 Cr[WS(csr, 4)] = T1e + T1d;
Chris@42 354 }
Chris@42 355 }
Chris@42 356 }
Chris@42 357 }
Chris@42 358
Chris@42 359 static const kr2c_desc desc = { 13, "r2cf_13", {57, 15, 19, 0}, &GENUS };
Chris@42 360
Chris@42 361 void X(codelet_r2cf_13) (planner *p) {
Chris@42 362 X(kr2c_register) (p, r2cf_13, &desc);
Chris@42 363 }
Chris@42 364
Chris@42 365 #endif /* HAVE_FMA */