annotate CepstrumPitchTracker.cpp @ 11:c938c60de2de track

Make compile; does not yet work
author Chris Cannam
date Fri, 29 Jun 2012 21:11:37 +0100
parents e9d86e129467
children 1daaf43a5459
rev   line source
Chris@3 1 /* -*- c-basic-offset: 4 indent-tabs-mode: nil -*- vi:set ts=8 sts=4 sw=4: */
Chris@3 2 /*
Chris@3 3 Permission is hereby granted, free of charge, to any person
Chris@3 4 obtaining a copy of this software and associated documentation
Chris@3 5 files (the "Software"), to deal in the Software without
Chris@3 6 restriction, including without limitation the rights to use, copy,
Chris@3 7 modify, merge, publish, distribute, sublicense, and/or sell copies
Chris@3 8 of the Software, and to permit persons to whom the Software is
Chris@3 9 furnished to do so, subject to the following conditions:
Chris@3 10
Chris@3 11 The above copyright notice and this permission notice shall be
Chris@3 12 included in all copies or substantial portions of the Software.
Chris@3 13
Chris@3 14 THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
Chris@3 15 EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
Chris@3 16 MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
Chris@3 17 NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS BE LIABLE FOR
Chris@3 18 ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF
Chris@3 19 CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
Chris@3 20 WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
Chris@3 21 */
Chris@3 22
Chris@3 23 #include "CepstrumPitchTracker.h"
Chris@3 24
Chris@3 25 #include <vector>
Chris@3 26 #include <algorithm>
Chris@3 27
Chris@3 28 #include <cstdio>
Chris@3 29 #include <cmath>
Chris@3 30 #include <complex>
Chris@3 31
Chris@3 32 using std::string;
Chris@7 33 using std::vector;
Chris@7 34
Chris@8 35 CepstrumPitchTracker::Hypothesis::Hypothesis()
Chris@7 36 {
Chris@8 37 m_state = New;
Chris@7 38 m_age = 0;
Chris@7 39 }
Chris@7 40
Chris@11 41 CepstrumPitchTracker::Hypothesis::~Hypothesis()
Chris@11 42 {
Chris@11 43 }
Chris@11 44
Chris@7 45 bool
Chris@7 46 CepstrumPitchTracker::Hypothesis::isWithinTolerance(Estimate s)
Chris@7 47 {
Chris@7 48 if (m_pending.empty()) {
Chris@7 49 return true;
Chris@7 50 }
Chris@7 51 Estimate last = m_pending[m_pending.size()-1];
Chris@7 52 double r = s.freq / last.freq;
Chris@7 53 int cents = lrint(1200.0 * (log(r) / log(2.0)));
Chris@7 54 return (cents > -200 && cents < 200);
Chris@7 55 }
Chris@7 56
Chris@7 57 bool
Chris@7 58 CepstrumPitchTracker::Hypothesis::isSatisfied()
Chris@7 59 {
Chris@7 60 return (m_pending.size() > 2);
Chris@7 61 }
Chris@7 62
Chris@8 63 void
Chris@8 64 CepstrumPitchTracker::Hypothesis::advanceTime()
Chris@8 65 {
Chris@8 66 ++m_age;
Chris@8 67 }
Chris@8 68
Chris@7 69 bool
Chris@7 70 CepstrumPitchTracker::Hypothesis::test(Estimate s)
Chris@7 71 {
Chris@8 72 bool accept = false;
Chris@8 73
Chris@8 74 switch (m_state) {
Chris@8 75
Chris@8 76 case New:
Chris@8 77 m_state = Provisional;
Chris@8 78 accept = true;
Chris@8 79 break;
Chris@8 80
Chris@8 81 case Provisional:
Chris@8 82 if (m_age > 3) {
Chris@8 83 m_state = Rejected;
Chris@8 84 } else if (isWithinTolerance(s)) {
Chris@8 85 accept = true;
Chris@8 86 }
Chris@8 87 break;
Chris@8 88
Chris@8 89 case Satisfied:
Chris@8 90 if (m_age > 3) {
Chris@8 91 m_state = Expired;
Chris@8 92 } else if (isWithinTolerance(s)) {
Chris@8 93 accept = true;
Chris@8 94 }
Chris@8 95 break;
Chris@8 96
Chris@8 97 case Rejected:
Chris@8 98 break;
Chris@8 99
Chris@8 100 case Expired:
Chris@8 101 break;
Chris@7 102 }
Chris@7 103
Chris@8 104 if (accept) {
Chris@8 105 m_pending.push_back(s);
Chris@8 106 m_age = 0;
Chris@8 107 if (m_state == Provisional && isSatisfied()) {
Chris@8 108 m_state = Satisfied;
Chris@7 109 }
Chris@7 110 }
Chris@7 111
Chris@8 112 return accept;
Chris@8 113 }
Chris@7 114
Chris@7 115 CepstrumPitchTracker::Hypothesis::State
Chris@7 116 CepstrumPitchTracker::Hypothesis::getState()
Chris@7 117 {
Chris@7 118 return m_state;
Chris@7 119 }
Chris@7 120
Chris@7 121 CepstrumPitchTracker::Hypothesis::Estimates
Chris@7 122 CepstrumPitchTracker::Hypothesis::getAcceptedEstimates()
Chris@7 123 {
Chris@7 124 if (m_state == Satisfied || m_state == Expired) {
Chris@7 125 return m_pending;
Chris@7 126 } else {
Chris@7 127 return Estimates();
Chris@7 128 }
Chris@7 129 }
Chris@7 130
Chris@11 131 void
Chris@11 132 CepstrumPitchTracker::Hypothesis::addFeatures(FeatureList &fl)
Chris@11 133 {
Chris@11 134 for (int i = 0; i < m_pending.size(); ++i) {
Chris@11 135 Feature f;
Chris@11 136 f.hasTimestamp = true;
Chris@11 137 f.timestamp = m_pending[i].time;
Chris@11 138 f.values.push_back(m_pending[i].freq);
Chris@11 139 fl.push_back(f);
Chris@11 140 }
Chris@11 141 }
Chris@3 142
Chris@3 143 CepstrumPitchTracker::CepstrumPitchTracker(float inputSampleRate) :
Chris@3 144 Plugin(inputSampleRate),
Chris@3 145 m_channels(0),
Chris@3 146 m_stepSize(256),
Chris@3 147 m_blockSize(1024),
Chris@3 148 m_fmin(50),
Chris@3 149 m_fmax(1000),
Chris@5 150 m_histlen(1),
Chris@5 151 m_vflen(3),
Chris@3 152 m_binFrom(0),
Chris@3 153 m_binTo(0),
Chris@3 154 m_bins(0),
Chris@6 155 m_history(0),
Chris@6 156 m_prevpeak(0),
Chris@6 157 m_prevprop(0)
Chris@3 158 {
Chris@3 159 }
Chris@3 160
Chris@3 161 CepstrumPitchTracker::~CepstrumPitchTracker()
Chris@3 162 {
Chris@3 163 if (m_history) {
Chris@3 164 for (int i = 0; i < m_histlen; ++i) {
Chris@3 165 delete[] m_history[i];
Chris@3 166 }
Chris@3 167 delete[] m_history;
Chris@3 168 }
Chris@3 169 }
Chris@3 170
Chris@3 171 string
Chris@3 172 CepstrumPitchTracker::getIdentifier() const
Chris@3 173 {
Chris@3 174 return "cepstrum-pitch";
Chris@3 175 }
Chris@3 176
Chris@3 177 string
Chris@3 178 CepstrumPitchTracker::getName() const
Chris@3 179 {
Chris@3 180 return "Cepstrum Pitch Tracker";
Chris@3 181 }
Chris@3 182
Chris@3 183 string
Chris@3 184 CepstrumPitchTracker::getDescription() const
Chris@3 185 {
Chris@3 186 return "Estimate f0 of monophonic material using a cepstrum method.";
Chris@3 187 }
Chris@3 188
Chris@3 189 string
Chris@3 190 CepstrumPitchTracker::getMaker() const
Chris@3 191 {
Chris@3 192 return "Chris Cannam";
Chris@3 193 }
Chris@3 194
Chris@3 195 int
Chris@3 196 CepstrumPitchTracker::getPluginVersion() const
Chris@3 197 {
Chris@3 198 // Increment this each time you release a version that behaves
Chris@3 199 // differently from the previous one
Chris@3 200 return 1;
Chris@3 201 }
Chris@3 202
Chris@3 203 string
Chris@3 204 CepstrumPitchTracker::getCopyright() const
Chris@3 205 {
Chris@3 206 return "Freely redistributable (BSD license)";
Chris@3 207 }
Chris@3 208
Chris@3 209 CepstrumPitchTracker::InputDomain
Chris@3 210 CepstrumPitchTracker::getInputDomain() const
Chris@3 211 {
Chris@3 212 return FrequencyDomain;
Chris@3 213 }
Chris@3 214
Chris@3 215 size_t
Chris@3 216 CepstrumPitchTracker::getPreferredBlockSize() const
Chris@3 217 {
Chris@3 218 return 1024;
Chris@3 219 }
Chris@3 220
Chris@3 221 size_t
Chris@3 222 CepstrumPitchTracker::getPreferredStepSize() const
Chris@3 223 {
Chris@3 224 return 256;
Chris@3 225 }
Chris@3 226
Chris@3 227 size_t
Chris@3 228 CepstrumPitchTracker::getMinChannelCount() const
Chris@3 229 {
Chris@3 230 return 1;
Chris@3 231 }
Chris@3 232
Chris@3 233 size_t
Chris@3 234 CepstrumPitchTracker::getMaxChannelCount() const
Chris@3 235 {
Chris@3 236 return 1;
Chris@3 237 }
Chris@3 238
Chris@3 239 CepstrumPitchTracker::ParameterList
Chris@3 240 CepstrumPitchTracker::getParameterDescriptors() const
Chris@3 241 {
Chris@3 242 ParameterList list;
Chris@3 243 return list;
Chris@3 244 }
Chris@3 245
Chris@3 246 float
Chris@3 247 CepstrumPitchTracker::getParameter(string identifier) const
Chris@3 248 {
Chris@3 249 return 0.f;
Chris@3 250 }
Chris@3 251
Chris@3 252 void
Chris@3 253 CepstrumPitchTracker::setParameter(string identifier, float value)
Chris@3 254 {
Chris@3 255 }
Chris@3 256
Chris@3 257 CepstrumPitchTracker::ProgramList
Chris@3 258 CepstrumPitchTracker::getPrograms() const
Chris@3 259 {
Chris@3 260 ProgramList list;
Chris@3 261 return list;
Chris@3 262 }
Chris@3 263
Chris@3 264 string
Chris@3 265 CepstrumPitchTracker::getCurrentProgram() const
Chris@3 266 {
Chris@3 267 return ""; // no programs
Chris@3 268 }
Chris@3 269
Chris@3 270 void
Chris@3 271 CepstrumPitchTracker::selectProgram(string name)
Chris@3 272 {
Chris@3 273 }
Chris@3 274
Chris@3 275 CepstrumPitchTracker::OutputList
Chris@3 276 CepstrumPitchTracker::getOutputDescriptors() const
Chris@3 277 {
Chris@3 278 OutputList outputs;
Chris@3 279
Chris@3 280 int n = 0;
Chris@3 281
Chris@3 282 OutputDescriptor d;
Chris@3 283
Chris@3 284 d.identifier = "f0";
Chris@3 285 d.name = "Estimated f0";
Chris@3 286 d.description = "Estimated fundamental frequency";
Chris@3 287 d.unit = "Hz";
Chris@3 288 d.hasFixedBinCount = true;
Chris@3 289 d.binCount = 1;
Chris@3 290 d.hasKnownExtents = true;
Chris@3 291 d.minValue = m_fmin;
Chris@3 292 d.maxValue = m_fmax;
Chris@3 293 d.isQuantized = false;
Chris@3 294 d.sampleType = OutputDescriptor::FixedSampleRate;
Chris@3 295 d.sampleRate = (m_inputSampleRate / m_stepSize);
Chris@3 296 d.hasDuration = false;
Chris@3 297 outputs.push_back(d);
Chris@3 298
Chris@3 299 return outputs;
Chris@3 300 }
Chris@3 301
Chris@3 302 bool
Chris@3 303 CepstrumPitchTracker::initialise(size_t channels, size_t stepSize, size_t blockSize)
Chris@3 304 {
Chris@3 305 if (channels < getMinChannelCount() ||
Chris@3 306 channels > getMaxChannelCount()) return false;
Chris@3 307
Chris@3 308 // std::cerr << "CepstrumPitchTracker::initialise: channels = " << channels
Chris@3 309 // << ", stepSize = " << stepSize << ", blockSize = " << blockSize
Chris@3 310 // << std::endl;
Chris@3 311
Chris@3 312 m_channels = channels;
Chris@3 313 m_stepSize = stepSize;
Chris@3 314 m_blockSize = blockSize;
Chris@3 315
Chris@3 316 m_binFrom = int(m_inputSampleRate / m_fmax);
Chris@3 317 m_binTo = int(m_inputSampleRate / m_fmin);
Chris@3 318
Chris@3 319 if (m_binTo >= (int)m_blockSize / 2) {
Chris@3 320 m_binTo = m_blockSize / 2 - 1;
Chris@3 321 }
Chris@3 322
Chris@3 323 m_bins = (m_binTo - m_binFrom) + 1;
Chris@3 324
Chris@3 325 m_history = new double *[m_histlen];
Chris@3 326 for (int i = 0; i < m_histlen; ++i) {
Chris@3 327 m_history[i] = new double[m_bins];
Chris@3 328 }
Chris@3 329
Chris@3 330 reset();
Chris@3 331
Chris@3 332 return true;
Chris@3 333 }
Chris@3 334
Chris@3 335 void
Chris@3 336 CepstrumPitchTracker::reset()
Chris@3 337 {
Chris@3 338 for (int i = 0; i < m_histlen; ++i) {
Chris@3 339 for (int j = 0; j < m_bins; ++j) {
Chris@3 340 m_history[i][j] = 0.0;
Chris@3 341 }
Chris@3 342 }
Chris@3 343 }
Chris@3 344
Chris@3 345 void
Chris@3 346 CepstrumPitchTracker::filter(const double *cep, double *result)
Chris@3 347 {
Chris@3 348 int hix = m_histlen - 1; // current history index
Chris@3 349
Chris@3 350 // roll back the history
Chris@3 351 if (m_histlen > 1) {
Chris@3 352 double *oldest = m_history[0];
Chris@3 353 for (int i = 1; i < m_histlen; ++i) {
Chris@3 354 m_history[i-1] = m_history[i];
Chris@3 355 }
Chris@3 356 // and stick this back in the newest spot, to recycle
Chris@3 357 m_history[hix] = oldest;
Chris@3 358 }
Chris@3 359
Chris@3 360 for (int i = 0; i < m_bins; ++i) {
Chris@5 361 double v = 0;
Chris@5 362 int n = 0;
Chris@5 363 // average according to the vertical filter length
Chris@5 364 for (int j = -m_vflen/2; j <= m_vflen/2; ++j) {
Chris@5 365 int ix = i + m_binFrom + j;
Chris@5 366 if (ix >= 0 && ix < m_blockSize) {
Chris@5 367 v += cep[ix];
Chris@5 368 ++n;
Chris@5 369 }
Chris@5 370 }
Chris@5 371 m_history[hix][i] = v / n;
Chris@3 372 }
Chris@3 373
Chris@3 374 for (int i = 0; i < m_bins; ++i) {
Chris@3 375 double mean = 0.0;
Chris@3 376 for (int j = 0; j < m_histlen; ++j) {
Chris@3 377 mean += m_history[j][i];
Chris@3 378 }
Chris@3 379 mean /= m_histlen;
Chris@3 380 result[i] = mean;
Chris@3 381 }
Chris@3 382 }
Chris@3 383
Chris@6 384 double
Chris@6 385 CepstrumPitchTracker::calculatePeakProportion(const double *data, double abstot, int n)
Chris@6 386 {
Chris@6 387 double aroundPeak = data[n];
Chris@6 388 double peakProportion = 0.0;
Chris@6 389
Chris@6 390 int i = n - 1;
Chris@6 391 while (i > 0 && data[i] <= data[i+1]) {
Chris@6 392 aroundPeak += fabs(data[i]);
Chris@6 393 --i;
Chris@6 394 }
Chris@6 395 i = n + 1;
Chris@6 396 while (i < m_bins && data[i] <= data[i-1]) {
Chris@6 397 aroundPeak += fabs(data[i]);
Chris@6 398 ++i;
Chris@6 399 }
Chris@6 400 peakProportion = aroundPeak / abstot;
Chris@6 401
Chris@6 402 return peakProportion;
Chris@6 403 }
Chris@6 404
Chris@6 405 bool
Chris@6 406 CepstrumPitchTracker::acceptPeak(int n, double peakProportion)
Chris@6 407 {
Chris@6 408 bool accept = false;
Chris@6 409
Chris@6 410 if (abs(n - m_prevpeak) < 10) { //!!! should depend on bin count
Chris@6 411 accept = true;
Chris@6 412 } else if (peakProportion > m_prevprop * 2) {
Chris@6 413 accept = true;
Chris@6 414 }
Chris@6 415
Chris@6 416 return accept;
Chris@6 417 }
Chris@6 418
Chris@3 419 CepstrumPitchTracker::FeatureSet
Chris@3 420 CepstrumPitchTracker::process(const float *const *inputBuffers, Vamp::RealTime timestamp)
Chris@3 421 {
Chris@3 422 FeatureSet fs;
Chris@3 423
Chris@3 424 int bs = m_blockSize;
Chris@3 425 int hs = m_blockSize/2 + 1;
Chris@3 426
Chris@3 427 double *rawcep = new double[bs];
Chris@3 428 double *io = new double[bs];
Chris@3 429 double *logmag = new double[bs];
Chris@3 430
Chris@4 431 // The "inverse symmetric" method. Seems to be the most reliable
Chris@3 432
Chris@3 433 for (int i = 0; i < hs; ++i) {
Chris@3 434
Chris@3 435 double power =
Chris@3 436 inputBuffers[0][i*2 ] * inputBuffers[0][i*2 ] +
Chris@3 437 inputBuffers[0][i*2+1] * inputBuffers[0][i*2+1];
Chris@3 438 double mag = sqrt(power);
Chris@3 439
Chris@3 440 double lm = log(mag + 0.00000001);
Chris@3 441
Chris@4 442 logmag[i] = lm;
Chris@4 443 if (i > 0) logmag[bs - i] = lm;
Chris@3 444 }
Chris@3 445
Chris@4 446 fft(bs, true, logmag, 0, rawcep, io);
Chris@3 447
Chris@3 448 delete[] logmag;
Chris@3 449 delete[] io;
Chris@3 450
Chris@3 451 int n = m_bins;
Chris@3 452 double *data = new double[n];
Chris@3 453 filter(rawcep, data);
Chris@3 454 delete[] rawcep;
Chris@3 455
Chris@6 456 double abstot = 0.0;
Chris@6 457
Chris@6 458 for (int i = 0; i < n; ++i) {
Chris@6 459 abstot += fabs(data[i]);
Chris@6 460 }
Chris@6 461
Chris@3 462 double maxval = 0.0;
Chris@6 463 int maxbin = -1;
Chris@3 464
Chris@3 465 for (int i = 0; i < n; ++i) {
Chris@3 466 if (data[i] > maxval) {
Chris@3 467 maxval = data[i];
Chris@3 468 maxbin = i;
Chris@3 469 }
Chris@3 470 }
Chris@3 471
Chris@8 472 if (maxbin < 0) return fs;
Chris@8 473
Chris@8 474 double peakfreq = m_inputSampleRate / (maxbin + m_binFrom);
Chris@8 475 Hypothesis::Estimate e;
Chris@8 476 e.freq = peakfreq;
Chris@8 477 e.time = timestamp;
Chris@8 478
Chris@8 479 m_accepted.advanceTime();
Chris@11 480
Chris@8 481 for (int i = 0; i < m_possible.size(); ++i) {
Chris@8 482 m_possible[i].advanceTime();
Chris@8 483 }
Chris@8 484
Chris@11 485 if (!m_accepted.test(e)) {
Chris@11 486 int candidate = -1;
Chris@11 487 for (int i = 0; i < m_possible.size(); ++i) {
Chris@11 488 if (m_possible[i].test(e)) {
Chris@11 489 if (m_possible[i].getState() == Hypothesis::Satisfied) {
Chris@11 490 candidate = i;
Chris@11 491 }
Chris@11 492 break;
Chris@11 493 }
Chris@11 494 }
Chris@11 495 if (m_accepted.getState() == Hypothesis::Expired) {
Chris@11 496 m_accepted.addFeatures(fs[0]);
Chris@11 497 if (candidate >= 0) {
Chris@11 498 m_accepted = m_possible[candidate];
Chris@11 499 } else {
Chris@11 500 m_accepted = Hypothesis();
Chris@11 501 }
Chris@11 502 }
Chris@8 503
Chris@11 504 //!!! and also need to reap rejected/expired hypotheses from the list
Chris@11 505 }
Chris@11 506
Chris@8 507
Chris@8 508 /*
Chris@6 509 bool accepted = false;
Chris@6 510
Chris@6 511 if (maxbin >= 0) {
Chris@6 512 double pp = calculatePeakProportion(data, abstot, maxbin);
Chris@6 513 if (acceptPeak(maxbin, pp)) {
Chris@6 514 accepted = true;
Chris@6 515 } else {
Chris@6 516 // try a secondary peak
Chris@6 517 maxval = 0.0;
Chris@6 518 int secondbin = 0;
Chris@6 519 for (int i = 1; i < n-1; ++i) {
Chris@6 520 if (i != maxbin &&
Chris@6 521 data[i] > data[i-1] &&
Chris@6 522 data[i] > data[i+1] &&
Chris@6 523 data[i] > maxval) {
Chris@6 524 maxval = data[i];
Chris@6 525 secondbin = i;
Chris@6 526 }
Chris@6 527 }
Chris@6 528 double spp = calculatePeakProportion(data, abstot, secondbin);
Chris@6 529 if (acceptPeak(secondbin, spp)) {
Chris@6 530 maxbin = secondbin;
Chris@6 531 pp = spp;
Chris@6 532 accepted = true;
Chris@6 533 }
Chris@3 534 }
Chris@6 535 if (accepted) {
Chris@6 536 m_prevpeak = maxbin;
Chris@6 537 m_prevprop = pp;
Chris@3 538 }
Chris@3 539 }
Chris@8 540 */
Chris@3 541 // std::cerr << "peakProportion = " << peakProportion << std::endl;
Chris@3 542 // std::cerr << "peak = " << m_inputSampleRate / (maxbin + m_binFrom) << std::endl;
Chris@4 543 // std::cerr << "bins = " << m_bins << std::endl;
Chris@3 544
Chris@6 545 // if (peakProportion >= (0.00006 * m_bins)) {
Chris@11 546 /*
Chris@6 547 if (accepted) {
Chris@3 548 Feature f;
Chris@3 549 f.hasTimestamp = true;
Chris@3 550 f.timestamp = timestamp;
Chris@3 551 f.values.push_back(m_inputSampleRate / (maxbin + m_binFrom));
Chris@3 552 fs[0].push_back(f);
Chris@3 553 }
Chris@11 554 */
Chris@3 555 delete[] data;
Chris@3 556 return fs;
Chris@3 557 }
Chris@3 558
Chris@3 559 CepstrumPitchTracker::FeatureSet
Chris@3 560 CepstrumPitchTracker::getRemainingFeatures()
Chris@3 561 {
Chris@3 562 FeatureSet fs;
Chris@11 563 if (m_accepted.getState() != Hypothesis::New) {
Chris@11 564 m_accepted.addFeatures(fs[0]);
Chris@11 565 }
Chris@3 566 return fs;
Chris@3 567 }
Chris@3 568
Chris@3 569 void
Chris@3 570 CepstrumPitchTracker::fft(unsigned int n, bool inverse,
Chris@3 571 double *ri, double *ii, double *ro, double *io)
Chris@3 572 {
Chris@3 573 if (!ri || !ro || !io) return;
Chris@3 574
Chris@3 575 unsigned int bits;
Chris@3 576 unsigned int i, j, k, m;
Chris@3 577 unsigned int blockSize, blockEnd;
Chris@3 578
Chris@3 579 double tr, ti;
Chris@3 580
Chris@3 581 if (n < 2) return;
Chris@3 582 if (n & (n-1)) return;
Chris@3 583
Chris@3 584 double angle = 2.0 * M_PI;
Chris@3 585 if (inverse) angle = -angle;
Chris@3 586
Chris@3 587 for (i = 0; ; ++i) {
Chris@3 588 if (n & (1 << i)) {
Chris@3 589 bits = i;
Chris@3 590 break;
Chris@3 591 }
Chris@3 592 }
Chris@3 593
Chris@3 594 static unsigned int tableSize = 0;
Chris@3 595 static int *table = 0;
Chris@3 596
Chris@3 597 if (tableSize != n) {
Chris@3 598
Chris@3 599 delete[] table;
Chris@3 600
Chris@3 601 table = new int[n];
Chris@3 602
Chris@3 603 for (i = 0; i < n; ++i) {
Chris@3 604
Chris@3 605 m = i;
Chris@3 606
Chris@3 607 for (j = k = 0; j < bits; ++j) {
Chris@3 608 k = (k << 1) | (m & 1);
Chris@3 609 m >>= 1;
Chris@3 610 }
Chris@3 611
Chris@3 612 table[i] = k;
Chris@3 613 }
Chris@3 614
Chris@3 615 tableSize = n;
Chris@3 616 }
Chris@3 617
Chris@3 618 if (ii) {
Chris@3 619 for (i = 0; i < n; ++i) {
Chris@3 620 ro[table[i]] = ri[i];
Chris@3 621 io[table[i]] = ii[i];
Chris@3 622 }
Chris@3 623 } else {
Chris@3 624 for (i = 0; i < n; ++i) {
Chris@3 625 ro[table[i]] = ri[i];
Chris@3 626 io[table[i]] = 0.0;
Chris@3 627 }
Chris@3 628 }
Chris@3 629
Chris@3 630 blockEnd = 1;
Chris@3 631
Chris@3 632 for (blockSize = 2; blockSize <= n; blockSize <<= 1) {
Chris@3 633
Chris@3 634 double delta = angle / (double)blockSize;
Chris@3 635 double sm2 = -sin(-2 * delta);
Chris@3 636 double sm1 = -sin(-delta);
Chris@3 637 double cm2 = cos(-2 * delta);
Chris@3 638 double cm1 = cos(-delta);
Chris@3 639 double w = 2 * cm1;
Chris@3 640 double ar[3], ai[3];
Chris@3 641
Chris@3 642 for (i = 0; i < n; i += blockSize) {
Chris@3 643
Chris@3 644 ar[2] = cm2;
Chris@3 645 ar[1] = cm1;
Chris@3 646
Chris@3 647 ai[2] = sm2;
Chris@3 648 ai[1] = sm1;
Chris@3 649
Chris@3 650 for (j = i, m = 0; m < blockEnd; j++, m++) {
Chris@3 651
Chris@3 652 ar[0] = w * ar[1] - ar[2];
Chris@3 653 ar[2] = ar[1];
Chris@3 654 ar[1] = ar[0];
Chris@3 655
Chris@3 656 ai[0] = w * ai[1] - ai[2];
Chris@3 657 ai[2] = ai[1];
Chris@3 658 ai[1] = ai[0];
Chris@3 659
Chris@3 660 k = j + blockEnd;
Chris@3 661 tr = ar[0] * ro[k] - ai[0] * io[k];
Chris@3 662 ti = ar[0] * io[k] + ai[0] * ro[k];
Chris@3 663
Chris@3 664 ro[k] = ro[j] - tr;
Chris@3 665 io[k] = io[j] - ti;
Chris@3 666
Chris@3 667 ro[j] += tr;
Chris@3 668 io[j] += ti;
Chris@3 669 }
Chris@3 670 }
Chris@3 671
Chris@3 672 blockEnd = blockSize;
Chris@3 673 }
Chris@3 674 }
Chris@3 675
Chris@3 676