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1 /* -*- c-basic-offset: 4 indent-tabs-mode: nil -*- vi:set ts=8 sts=4 sw=4: */
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2
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3 /*
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4 Sonic Visualiser
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5 An audio file viewer and annotation editor.
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6 Centre for Digital Music, Queen Mary, University of London.
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7
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8 This program is free software; you can redistribute it and/or
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9 modify it under the terms of the GNU General Public License as
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10 published by the Free Software Foundation; either version 2 of the
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11 License, or (at your option) any later version. See the file
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12 COPYING included with this distribution for more information.
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13 */
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14
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15 #ifndef TEST_FFT_MODEL_H
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16 #define TEST_FFT_MODEL_H
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17
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18 #include "../FFTModel.h"
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19
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20 #include "MockWaveModel.h"
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21
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22 #include "Compares.h"
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23
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24 #include <QObject>
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25 #include <QtTest>
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26 #include <QDir>
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27
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28 #include <iostream>
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29 #include <complex>
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30
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31 using namespace std;
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32
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33 class TestFFTModel : public QObject
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34 {
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35 Q_OBJECT
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36
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37 private:
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38 void test(ModelId model, // a DenseTimeValueModel
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39 WindowType window, int windowSize, int windowIncrement, int fftSize,
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40 int columnNo, vector<vector<complex<float>>> expectedValues,
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41 int expectedWidth) {
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42 for (int ch = 0; in_range_for(expectedValues, ch); ++ch) {
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43 FFTModel fftm(model, ch, window, windowSize, windowIncrement, fftSize);
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44 QCOMPARE(fftm.getWidth(), expectedWidth);
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45 int hs1 = fftSize/2 + 1;
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46 QCOMPARE(fftm.getHeight(), hs1);
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47 vector<float> reals(hs1 + 1, 0.f);
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48 vector<float> imags(hs1 + 1, 0.f);
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49 reals[hs1] = 999.f; // overrun guards
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50 imags[hs1] = 999.f;
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51 for (int stepThrough = 0; stepThrough <= 1; ++stepThrough) {
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52 if (stepThrough) {
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53 // Read through the columns in order instead of
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54 // randomly accessing the one we want. This is to
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55 // exercise the case where the FFT model saves
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56 // part of each input frame and moves along by
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57 // only the non-overlapping distance
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58 for (int sc = 0; sc < columnNo; ++sc) {
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59 fftm.getValuesAt(sc, &reals[0], &imags[0]);
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60 }
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61 }
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62 fftm.getValuesAt(columnNo, &reals[0], &imags[0]);
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63 for (int i = 0; i < hs1; ++i) {
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64 float eRe = expectedValues[ch][i].real();
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65 float eIm = expectedValues[ch][i].imag();
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66 float thresh = 1e-5f;
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67 if (abs(reals[i] - eRe) > thresh ||
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68 abs(imags[i] - eIm) > thresh) {
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69 SVCERR << "ERROR: output is not as expected for column "
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70 << i << " in channel " << ch << " (stepThrough = "
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71 << stepThrough << ")" << endl;
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72 SVCERR << "expected : ";
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73 for (int j = 0; j < hs1; ++j) {
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74 SVCERR << expectedValues[ch][j] << " ";
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75 }
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76 SVCERR << "\nactual : ";
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77 for (int j = 0; j < hs1; ++j) {
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78 SVCERR << complex<float>(reals[j], imags[j]) << " ";
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79 }
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80 SVCERR << endl;
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81 }
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82 COMPARE_FUZZIER_F(reals[i], eRe);
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83 COMPARE_FUZZIER_F(imags[i], eIm);
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84 }
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85 QCOMPARE(reals[hs1], 999.f);
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86 QCOMPARE(imags[hs1], 999.f);
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87 }
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88 }
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89 }
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90
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91 ModelId makeMock(std::vector<Sort> sorts, int length, int pad) {
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92 auto mwm = std::make_shared<MockWaveModel>(sorts, length, pad);
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93 return ModelById::add(mwm);
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94 }
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95
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96 void releaseMock(ModelId id) {
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97 ModelById::release(id);
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98 }
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99
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100 private slots:
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101
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102 // NB. FFTModel columns are centred on the sample frame, and in
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103 // particular this means column 0 is centred at sample 0 (i.e. it
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104 // contains only half the window-size worth of real samples, the
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105 // others are 0-valued from before the origin). Generally in
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106 // these tests we are padding our signal with half a window of
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107 // zeros, in order that the result for column 0 is all zeros
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108 // (rather than something with a step in it that is harder to
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109 // reason about the FFT of) and the results for subsequent columns
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110 // are those of our expected signal.
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111
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112 void dc_simple_rect() {
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113 auto mwm = makeMock({ DC }, 16, 4);
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114 test(mwm, RectangularWindow, 8, 8, 8, 0,
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115 { { {}, {}, {}, {}, {} } }, 4);
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116 test(mwm, RectangularWindow, 8, 8, 8, 1,
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117 { { { 4.f, 0.f }, {}, {}, {}, {} } }, 4);
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118 test(mwm, RectangularWindow, 8, 8, 8, 2,
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119 { { { 4.f, 0.f }, {}, {}, {}, {} } }, 4);
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120 test(mwm, RectangularWindow, 8, 8, 8, 3,
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121 { { {}, {}, {}, {}, {} } }, 4);
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122 releaseMock(mwm);
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123 }
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124
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125 void dc_simple_hann() {
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126 // The Hann window function is a simple sinusoid with period
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127 // equal to twice the window size, and it halves the DC energy
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128 auto mwm = makeMock({ DC }, 16, 4);
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129 test(mwm, HanningWindow, 8, 8, 8, 0,
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130 { { {}, {}, {}, {}, {} } }, 4);
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131 test(mwm, HanningWindow, 8, 8, 8, 1,
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132 { { { 4.f, 0.f }, { 2.f, 0.f }, {}, {}, {} } }, 4);
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133 test(mwm, HanningWindow, 8, 8, 8, 2,
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134 { { { 4.f, 0.f }, { 2.f, 0.f }, {}, {}, {} } }, 4);
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135 test(mwm, HanningWindow, 8, 8, 8, 3,
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136 { { {}, {}, {}, {}, {} } }, 4);
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137 releaseMock(mwm);
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138 }
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139
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140 void dc_simple_hann_halfoverlap() {
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141 auto mwm = makeMock({ DC }, 16, 4);
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142 test(mwm, HanningWindow, 8, 4, 8, 0,
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143 { { {}, {}, {}, {}, {} } }, 7);
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144 test(mwm, HanningWindow, 8, 4, 8, 2,
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145 { { { 4.f, 0.f }, { 2.f, 0.f }, {}, {}, {} } }, 7);
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146 test(mwm, HanningWindow, 8, 4, 8, 3,
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147 { { { 4.f, 0.f }, { 2.f, 0.f }, {}, {}, {} } }, 7);
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148 test(mwm, HanningWindow, 8, 4, 8, 6,
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149 { { {}, {}, {}, {}, {} } }, 7);
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150 releaseMock(mwm);
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151 }
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152
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153 void sine_simple_rect() {
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154 auto mwm = makeMock({ Sine }, 16, 4);
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155 // Sine: output is purely imaginary. Note the sign is flipped
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156 // (normally the first half of the output would have negative
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157 // sign for a sine starting at 0) because the model does an
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158 // FFT shift to centre the phase
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159 test(mwm, RectangularWindow, 8, 8, 8, 0,
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160 { { {}, {}, {}, {}, {} } }, 4);
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161 test(mwm, RectangularWindow, 8, 8, 8, 1,
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162 { { {}, { 0.f, 2.f }, {}, {}, {} } }, 4);
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163 test(mwm, RectangularWindow, 8, 8, 8, 2,
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164 { { {}, { 0.f, 2.f }, {}, {}, {} } }, 4);
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165 test(mwm, RectangularWindow, 8, 8, 8, 3,
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166 { { {}, {}, {}, {}, {} } }, 4);
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167 releaseMock(mwm);
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168 }
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169
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170 void cosine_simple_rect() {
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171 auto mwm = makeMock({ Cosine }, 16, 4);
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172 // Cosine: output is purely real. Note the sign is flipped
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173 // because the model does an FFT shift to centre the phase
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174 test(mwm, RectangularWindow, 8, 8, 8, 0,
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175 { { {}, {}, {}, {}, {} } }, 4);
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176 test(mwm, RectangularWindow, 8, 8, 8, 1,
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177 { { {}, { -2.f, 0.f }, {}, {}, {} } }, 4);
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178 test(mwm, RectangularWindow, 8, 8, 8, 2,
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179 { { {}, { -2.f, 0.f }, {}, {}, {} } }, 4);
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180 test(mwm, RectangularWindow, 8, 8, 8, 3,
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181 { { {}, {}, {}, {}, {} } }, 4);
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182 releaseMock(mwm);
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183 }
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184
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185 void twochan_simple_rect() {
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186 auto mwm = makeMock({ Sine, Cosine }, 16, 4);
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187 // Test that the two channels are read and converted separately
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188 test(mwm, RectangularWindow, 8, 8, 8, 0,
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189 {
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190 { {}, {}, {}, {}, {} },
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191 { {}, {}, {}, {}, {} }
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192 }, 4);
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193 test(mwm, RectangularWindow, 8, 8, 8, 1,
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194 {
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195 { {}, { 0.f, 2.f }, {}, {}, {} },
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196 { {}, { -2.f, 0.f }, {}, {}, {} }
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197 }, 4);
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198 test(mwm, RectangularWindow, 8, 8, 8, 2,
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199 {
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200 { {}, { 0.f, 2.f }, {}, {}, {} },
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201 { {}, { -2.f, 0.f }, {}, {}, {} }
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202 }, 4);
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203 test(mwm, RectangularWindow, 8, 8, 8, 3,
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204 {
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205 { {}, {}, {}, {}, {} },
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206 { {}, {}, {}, {}, {} }
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207 }, 4);
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208 releaseMock(mwm);
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209 }
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210
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211 void nyquist_simple_rect() {
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212 auto mwm = makeMock({ Nyquist }, 16, 4);
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213 // Again, the sign is flipped. This has the same amount of
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214 // energy as the DC example
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215 test(mwm, RectangularWindow, 8, 8, 8, 0,
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216 { { {}, {}, {}, {}, {} } }, 4);
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217 test(mwm, RectangularWindow, 8, 8, 8, 1,
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218 { { {}, {}, {}, {}, { -4.f, 0.f } } }, 4);
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219 test(mwm, RectangularWindow, 8, 8, 8, 2,
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220 { { {}, {}, {}, {}, { -4.f, 0.f } } }, 4);
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221 test(mwm, RectangularWindow, 8, 8, 8, 3,
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222 { { {}, {}, {}, {}, {} } }, 4);
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223 releaseMock(mwm);
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224 }
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225
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226 void dirac_simple_rect() {
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227 auto mwm = makeMock({ Dirac }, 16, 4);
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228 // The window scales by 0.5 and some signs are flipped. Only
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229 // column 1 has any data (the single impulse).
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230 test(mwm, RectangularWindow, 8, 8, 8, 0,
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231 { { {}, {}, {}, {}, {} } }, 4);
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232 test(mwm, RectangularWindow, 8, 8, 8, 1,
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233 { { { 0.5f, 0.f }, { -0.5f, 0.f }, { 0.5f, 0.f }, { -0.5f, 0.f }, { 0.5f, 0.f } } }, 4);
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234 test(mwm, RectangularWindow, 8, 8, 8, 2,
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235 { { {}, {}, {}, {}, {} } }, 4);
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236 test(mwm, RectangularWindow, 8, 8, 8, 3,
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237 { { {}, {}, {}, {}, {} } }, 4);
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238 releaseMock(mwm);
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239 }
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240
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241 void dirac_simple_rect_2() {
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242 auto mwm = makeMock({ Dirac }, 16, 8);
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243 // With 8 samples padding, the FFT shift places the first
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244 // Dirac impulse at the start of column 1, thus giving all
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245 // positive values
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246 test(mwm, RectangularWindow, 8, 8, 8, 0,
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247 { { {}, {}, {}, {}, {} } }, 5);
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248 test(mwm, RectangularWindow, 8, 8, 8, 1,
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249 { { { 0.5f, 0.f }, { 0.5f, 0.f }, { 0.5f, 0.f }, { 0.5f, 0.f }, { 0.5f, 0.f } } }, 5);
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250 test(mwm, RectangularWindow, 8, 8, 8, 2,
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251 { { {}, {}, {}, {}, {} } }, 5);
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252 test(mwm, RectangularWindow, 8, 8, 8, 3,
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253 { { {}, {}, {}, {}, {} } }, 5);
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254 test(mwm, RectangularWindow, 8, 8, 8, 4,
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255 { { {}, {}, {}, {}, {} } }, 5);
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256 releaseMock(mwm);
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257 }
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258
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259 void dirac_simple_rect_halfoverlap() {
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260 auto mwm = makeMock({ Dirac }, 16, 4);
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261 test(mwm, RectangularWindow, 8, 4, 8, 0,
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262 { { {}, {}, {}, {}, {} } }, 7);
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263 test(mwm, RectangularWindow, 8, 4, 8, 1,
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264 { { { 0.5f, 0.f }, { 0.5f, 0.f }, { 0.5f, 0.f }, { 0.5f, 0.f }, { 0.5f, 0.f } } }, 7);
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265 test(mwm, RectangularWindow, 8, 4, 8, 2,
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266 { { { 0.5f, 0.f }, { -0.5f, 0.f }, { 0.5f, 0.f }, { -0.5f, 0.f }, { 0.5f, 0.f } } }, 7);
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267 test(mwm, RectangularWindow, 8, 4, 8, 3,
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268 { { {}, {}, {}, {}, {} } }, 7);
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269 releaseMock(mwm);
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270 }
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271
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272 };
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273
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274 #endif
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