annotate constant-q-cpp/test/TestResampler.cpp @ 372:af71cbdab621 tip

Update bqvec code
author Chris Cannam
date Tue, 19 Nov 2019 10:13:32 +0000
parents 5d0a2ebb4d17
children
rev   line source
Chris@366 1 /* -*- c-basic-offset: 4 indent-tabs-mode: nil -*- vi:set ts=8 sts=4 sw=4: */
Chris@366 2
Chris@366 3 #include "dsp/Resampler.h"
Chris@366 4
Chris@366 5 #include "dsp/Window.h"
Chris@366 6 #include "dsp/FFT.h"
Chris@366 7
Chris@366 8 #include <iostream>
Chris@366 9
Chris@366 10 #include <cmath>
Chris@366 11
Chris@366 12 #define BOOST_TEST_DYN_LINK
Chris@366 13 #define BOOST_TEST_MAIN
Chris@366 14
Chris@366 15 #include <boost/test/unit_test.hpp>
Chris@366 16
Chris@366 17 BOOST_AUTO_TEST_SUITE(TestResampler)
Chris@366 18
Chris@366 19 using std::cout;
Chris@366 20 using std::endl;
Chris@366 21 using std::vector;
Chris@366 22
Chris@366 23 void
Chris@366 24 testResamplerOneShot(int sourceRate,
Chris@366 25 int targetRate,
Chris@366 26 int n,
Chris@366 27 double *in,
Chris@366 28 int m,
Chris@366 29 double *expected,
Chris@366 30 int skip)
Chris@366 31 {
Chris@366 32 vector<double> resampled = Resampler::resample(sourceRate, targetRate,
Chris@366 33 in, n);
Chris@366 34 if (skip == 0) {
Chris@366 35 BOOST_CHECK_EQUAL(resampled.size(), m);
Chris@366 36 }
Chris@366 37 for (int i = 0; i < m; ++i) {
Chris@366 38 BOOST_CHECK_SMALL(resampled[i + skip] - expected[i], 1e-6);
Chris@366 39 }
Chris@366 40 }
Chris@366 41
Chris@366 42 void
Chris@366 43 testResampler(int sourceRate,
Chris@366 44 int targetRate,
Chris@366 45 int n,
Chris@366 46 double *in,
Chris@366 47 int m,
Chris@366 48 double *expected)
Chris@366 49 {
Chris@366 50 // Here we provide the input in chunks (of varying size)
Chris@366 51
Chris@366 52 Resampler r(sourceRate, targetRate);
Chris@366 53 int latency = r.getLatency();
Chris@366 54
Chris@366 55 int m1 = m + latency;
Chris@366 56 int n1 = int((m1 * sourceRate) / targetRate);
Chris@366 57
Chris@366 58 double *inPadded = new double[n1];
Chris@366 59 double *outPadded = new double[m1];
Chris@366 60
Chris@366 61 for (int i = 0; i < n1; ++i) {
Chris@366 62 if (i < n) inPadded[i] = in[i];
Chris@366 63 else inPadded[i] = 0.0;
Chris@366 64 }
Chris@366 65
Chris@366 66 for (int i = 0; i < m1; ++i) {
Chris@366 67 outPadded[i] = -999.0;
Chris@366 68 }
Chris@366 69
Chris@366 70 int chunkSize = 1;
Chris@366 71 int got = 0;
Chris@366 72 int i = 0;
Chris@366 73
Chris@366 74 while (true) {
Chris@366 75 got += r.process(inPadded + i, outPadded + got, chunkSize);
Chris@366 76 i = i + chunkSize;
Chris@366 77 chunkSize = chunkSize + 1;
Chris@366 78 if (i >= n1) {
Chris@366 79 break;
Chris@366 80 } else if (i + chunkSize >= n1) {
Chris@366 81 chunkSize = n1 - i;
Chris@366 82 } else if (chunkSize > 15) {
Chris@366 83 chunkSize = 1;
Chris@366 84 }
Chris@366 85 }
Chris@366 86
Chris@366 87 BOOST_CHECK_EQUAL(got, m1);
Chris@366 88
Chris@366 89 for (int i = latency; i < m1; ++i) {
Chris@366 90 BOOST_CHECK_SMALL(outPadded[i] - expected[i-latency], 1e-8);
Chris@366 91 }
Chris@366 92
Chris@366 93 delete[] outPadded;
Chris@366 94 delete[] inPadded;
Chris@366 95 }
Chris@366 96
Chris@366 97 BOOST_AUTO_TEST_CASE(sameRateOneShot)
Chris@366 98 {
Chris@366 99 double d[] = { 0, 0.1, -0.3, -0.4, -0.3, 0, 0.5, 0.2, 0.8, -0.1 };
Chris@366 100 testResamplerOneShot(4, 4, 10, d, 10, d, 0);
Chris@366 101 }
Chris@366 102
Chris@366 103 BOOST_AUTO_TEST_CASE(sameRate)
Chris@366 104 {
Chris@366 105 double d[] = { 0, 0.1, -0.3, -0.4, -0.3, 0, 0.5, 0.2, 0.8, -0.1 };
Chris@366 106 testResampler(4, 4, 10, d, 10, d);
Chris@366 107 }
Chris@366 108
Chris@366 109 BOOST_AUTO_TEST_CASE(interpolatedMisc)
Chris@366 110 {
Chris@366 111 // Interpolating any signal by N should give a signal in which
Chris@366 112 // every Nth sample is the original signal
Chris@366 113 double in[] = { 0, 0.1, -0.3, -0.4, -0.3, 0, 0.5, 0.2, 0.8, -0.1 };
Chris@366 114 int n = sizeof(in)/sizeof(in[0]);
Chris@366 115 for (int factor = 2; factor < 10; ++factor) {
Chris@366 116 vector<double> out = Resampler::resample(6, 6 * factor, in, n);
Chris@366 117 for (int i = 0; i < n; ++i) {
Chris@366 118 BOOST_CHECK_SMALL(out[i * factor] - in[i], 1e-5);
Chris@366 119 }
Chris@366 120 }
Chris@366 121 }
Chris@366 122
Chris@366 123 BOOST_AUTO_TEST_CASE(interpolatedSine)
Chris@366 124 {
Chris@366 125 // Interpolating a sinusoid should give us a sinusoid, once we've
Chris@366 126 // dropped the first few samples
Chris@366 127 double in[1000];
Chris@366 128 double out[2000];
Chris@366 129 for (int i = 0; i < 1000; ++i) {
Chris@366 130 in[i] = sin(i * M_PI / 2.0);
Chris@366 131 }
Chris@366 132 for (int i = 0; i < 2000; ++i) {
Chris@366 133 out[i] = sin(i * M_PI / 4.0);
Chris@366 134 }
Chris@366 135 testResamplerOneShot(8, 16, 1000, in, 200, out, 512);
Chris@366 136 }
Chris@366 137
Chris@366 138 BOOST_AUTO_TEST_CASE(decimatedSine)
Chris@366 139 {
Chris@366 140 // Decimating a sinusoid should give us a sinusoid, once we've
Chris@366 141 // dropped the first few samples
Chris@366 142 double in[2000];
Chris@366 143 double out[1000];
Chris@366 144 for (int i = 0; i < 2000; ++i) {
Chris@366 145 in[i] = sin(i * M_PI / 8.0);
Chris@366 146 }
Chris@366 147 for (int i = 0; i < 1000; ++i) {
Chris@366 148 out[i] = sin(i * M_PI / 4.0);
Chris@366 149 }
Chris@366 150 testResamplerOneShot(16, 8, 2000, in, 200, out, 256);
Chris@366 151 }
Chris@366 152
Chris@366 153 double
Chris@366 154 measureSinFreq(const vector<double> &v, int rate, int countCycles)
Chris@366 155 {
Chris@366 156 int n = v.size();
Chris@366 157 int firstPeak = -1;
Chris@366 158 int lastPeak = -1;
Chris@366 159 int nPeaks = 0;
Chris@366 160 // count +ve peaks
Chris@366 161 for (int i = v.size()/4; i + 1 < n; ++i) {
Chris@366 162 // allow some fuzz
Chris@366 163 int x0 = int(10000 * v[i-1]);
Chris@366 164 int x1 = int(10000 * v[i]);
Chris@366 165 int x2 = int(10000 * v[i+1]);
Chris@366 166 if (x1 > 0 && x1 > x0 && x1 >= x2) {
Chris@366 167 if (firstPeak < 0) firstPeak = i;
Chris@366 168 lastPeak = i;
Chris@366 169 ++nPeaks;
Chris@366 170 if (nPeaks == countCycles) break;
Chris@366 171 }
Chris@366 172 }
Chris@366 173 int nCycles = nPeaks - 1;
Chris@366 174 if (nCycles <= 0) return 0.0;
Chris@366 175 double cycle = double(lastPeak - firstPeak) / nCycles;
Chris@366 176 // cout << "lastPeak = " << lastPeak << ", firstPeak = " << firstPeak << ", dist = " << lastPeak - firstPeak << ", nCycles = " << nCycles << ", cycle = " << cycle << endl;
Chris@366 177 return rate / cycle;
Chris@366 178 }
Chris@366 179
Chris@366 180 void
Chris@366 181 testSinFrequency(int freq,
Chris@366 182 int sourceRate,
Chris@366 183 int targetRate)
Chris@366 184 {
Chris@366 185 // Resampling a sinusoid and then resampling back should give us a
Chris@366 186 // sinusoid of the same frequency as we started with
Chris@366 187
Chris@366 188 int nCycles = 500;
Chris@366 189
Chris@366 190 int duration = int(nCycles * float(sourceRate) / float(freq));
Chris@366 191 // cout << "freq = " << freq << ", sourceRate = " << sourceRate << ", targetRate = " << targetRate << ", duration = " << duration << endl;
Chris@366 192
Chris@366 193 vector<double> in(duration, 0);
Chris@366 194 for (int i = 0; i < duration; ++i) {
Chris@366 195 in[i] = sin(i * M_PI * 2.0 * freq / sourceRate);
Chris@366 196 }
Chris@366 197
Chris@366 198 vector<double> out = Resampler::resample(sourceRate, targetRate,
Chris@366 199 in.data(), in.size());
Chris@366 200
Chris@366 201 vector<double> back = Resampler::resample(targetRate, sourceRate,
Chris@366 202 out.data(), out.size());
Chris@366 203
Chris@366 204 BOOST_CHECK_EQUAL(in.size(), back.size());
Chris@366 205
Chris@366 206 double inFreq = measureSinFreq(in, sourceRate, nCycles / 2);
Chris@366 207 double backFreq = measureSinFreq(back, sourceRate, nCycles / 2);
Chris@366 208
Chris@366 209 BOOST_CHECK_SMALL(inFreq - backFreq, 1e-8);
Chris@366 210 }
Chris@366 211
Chris@366 212 // In each of the following we use a frequency that has an exact cycle
Chris@366 213 // length in samples at the lowest sample rate, so that we can easily
Chris@366 214 // rule out errors in measuring the cycle length after resampling. If
Chris@366 215 // the resampler gets its input or output rate wrong, that will show
Chris@366 216 // up no matter what the test signal's initial frequency is.
Chris@366 217
Chris@366 218 BOOST_AUTO_TEST_CASE(downUp2)
Chris@366 219 {
Chris@366 220 testSinFrequency(441, 44100, 22050);
Chris@366 221 }
Chris@366 222
Chris@366 223 BOOST_AUTO_TEST_CASE(downUp5)
Chris@366 224 {
Chris@366 225 testSinFrequency(300, 15000, 3000);
Chris@366 226 }
Chris@366 227
Chris@366 228 BOOST_AUTO_TEST_CASE(downUp16)
Chris@366 229 {
Chris@366 230 testSinFrequency(300, 48000, 3000);
Chris@366 231 }
Chris@366 232
Chris@366 233 BOOST_AUTO_TEST_CASE(upDown2)
Chris@366 234 {
Chris@366 235 testSinFrequency(441, 44100, 88200);
Chris@366 236 }
Chris@366 237
Chris@366 238 BOOST_AUTO_TEST_CASE(upDown5)
Chris@366 239 {
Chris@366 240 testSinFrequency(300, 3000, 15000);
Chris@366 241 }
Chris@366 242
Chris@366 243 BOOST_AUTO_TEST_CASE(upDown16)
Chris@366 244 {
Chris@366 245 testSinFrequency(300, 3000, 48000);
Chris@366 246 }
Chris@366 247
Chris@366 248 vector<double>
Chris@366 249 squareWave(int rate, double freq, int n)
Chris@366 250 {
Chris@366 251 //!!! todo: hoist, test
Chris@366 252 vector<double> v(n, 0.0);
Chris@366 253 for (int h = 0; h < (rate/4)/freq; ++h) {
Chris@366 254 double m = h * 2 + 1;
Chris@366 255 double scale = 1.0 / m;
Chris@366 256 for (int i = 0; i < n; ++i) {
Chris@366 257 double s = scale * sin((i * 2.0 * M_PI * m * freq) / rate);
Chris@366 258 v[i] += s;
Chris@366 259 }
Chris@366 260 }
Chris@366 261 return v;
Chris@366 262 }
Chris@366 263
Chris@366 264 void
Chris@366 265 testSpectrum(int inrate, int outrate)
Chris@366 266 {
Chris@366 267 // One second of a square wave
Chris@366 268 int freq = 500;
Chris@366 269
Chris@366 270 vector<double> square =
Chris@366 271 squareWave(inrate, freq, inrate);
Chris@366 272
Chris@366 273 vector<double> maybeSquare =
Chris@366 274 Resampler::resample(inrate, outrate, square.data(), square.size());
Chris@366 275
Chris@366 276 BOOST_CHECK_EQUAL(maybeSquare.size(), outrate);
Chris@366 277
Chris@366 278 Window<double>(HanningWindow, inrate).cut(square.data());
Chris@366 279 Window<double>(HanningWindow, outrate).cut(maybeSquare.data());
Chris@366 280
Chris@366 281 // forward magnitude with size inrate, outrate
Chris@366 282
Chris@366 283 vector<double> inSpectrum(inrate, 0.0);
Chris@366 284 FFTReal(inrate).forwardMagnitude(square.data(), inSpectrum.data());
Chris@366 285 for (int i = 0; i < (int)inSpectrum.size(); ++i) {
Chris@366 286 inSpectrum[i] /= inrate;
Chris@366 287 }
Chris@366 288
Chris@366 289 vector<double> outSpectrum(outrate, 0.0);
Chris@366 290 FFTReal(outrate).forwardMagnitude(maybeSquare.data(), outSpectrum.data());
Chris@366 291 for (int i = 0; i < (int)outSpectrum.size(); ++i) {
Chris@366 292 outSpectrum[i] /= outrate;
Chris@366 293 }
Chris@366 294
Chris@366 295 // Don't compare bins any higher than 96% of Nyquist freq of lower sr
Chris@366 296 int lengthOfInterest = (inrate < outrate ? inrate : outrate) / 2;
Chris@366 297 lengthOfInterest = lengthOfInterest - (lengthOfInterest / 25);
Chris@366 298
Chris@366 299 for (int i = 0; i < lengthOfInterest; ++i) {
Chris@366 300 BOOST_CHECK_SMALL(inSpectrum[i] - outSpectrum[i], 1e-7);
Chris@366 301 }
Chris@366 302 }
Chris@366 303 /*
Chris@366 304 BOOST_AUTO_TEST_CASE(spectrum)
Chris@366 305 {
Chris@366 306 int rates[] = { 8000, 22050, 44100, 48000 };
Chris@366 307 for (int i = 0; i < (int)(sizeof(rates)/sizeof(rates[0])); ++i) {
Chris@366 308 for (int j = 0; j < (int)(sizeof(rates)/sizeof(rates[0])); ++j) {
Chris@366 309 testSpectrum(rates[i], rates[j]);
Chris@366 310 }
Chris@366 311 }
Chris@366 312 }
Chris@366 313 */
Chris@366 314 BOOST_AUTO_TEST_SUITE_END()
Chris@366 315