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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 This file copyright 2006 Chris Cannam.
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8
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9 This program is free software; you can redistribute it and/or
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10 modify it under the terms of the GNU General Public License as
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11 published by the Free Software Foundation; either version 2 of the
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12 License, or (at your option) any later version. See the file
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13 COPYING included with this distribution for more information.
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14 */
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15
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16 #include "FFTModel.h"
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17 #include "DenseTimeValueModel.h"
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18
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Chris@183
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19 #include "base/Profiler.h"
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Chris@275
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20 #include "base/Pitch.h"
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21 #include "base/HitCount.h"
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22
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Chris@402
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23 #include <algorithm>
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24
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25 #include <cassert>
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26 #include <deque>
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27
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28 using namespace std;
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29
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30 static HitCount inSmallCache("FFTModel: Small FFT cache");
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31 static HitCount inSourceCache("FFTModel: Source data cache");
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32
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33 FFTModel::FFTModel(const DenseTimeValueModel *model,
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34 int channel,
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35 WindowType windowType,
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Chris@929
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36 int windowSize,
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Chris@929
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37 int windowIncrement,
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38 int fftSize) :
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39 m_model(model),
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40 m_channel(channel),
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41 m_windowType(windowType),
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42 m_windowSize(windowSize),
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43 m_windowIncrement(windowIncrement),
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44 m_fftSize(fftSize),
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45 m_windower(windowType, windowSize),
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46 m_fft(fftSize),
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47 m_cacheSize(3)
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48 {
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49 if (m_windowSize > m_fftSize) {
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50 cerr << "ERROR: FFTModel::FFTModel: window size (" << m_windowSize
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51 << ") must be at least FFT size (" << m_fftSize << ")" << endl;
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52 throw invalid_argument("FFTModel window size must be at least FFT size");
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53 }
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Chris@1133
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54
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55 connect(model, SIGNAL(modelChanged()), this, SIGNAL(modelChanged()));
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56 connect(model, SIGNAL(modelChangedWithin(sv_frame_t, sv_frame_t)),
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57 this, SIGNAL(modelChangedWithin(sv_frame_t, sv_frame_t)));
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58 }
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59
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60 FFTModel::~FFTModel()
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61 {
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62 }
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63
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64 void
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65 FFTModel::sourceModelAboutToBeDeleted()
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66 {
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67 if (m_model) {
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68 cerr << "FFTModel[" << this << "]::sourceModelAboutToBeDeleted(" << m_model << ")" << endl;
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69 m_model = 0;
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70 }
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71 }
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72
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73 int
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74 FFTModel::getWidth() const
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75 {
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76 if (!m_model) return 0;
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77 return int((m_model->getEndFrame() - m_model->getStartFrame())
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78 / m_windowIncrement) + 1;
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79 }
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80
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81 int
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82 FFTModel::getHeight() const
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83 {
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84 return m_fftSize / 2 + 1;
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85 }
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86
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87 QString
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88 FFTModel::getBinName(int n) const
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89 {
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90 sv_samplerate_t sr = getSampleRate();
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91 if (!sr) return "";
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92 QString name = tr("%1 Hz").arg((n * sr) / ((getHeight()-1) * 2));
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93 return name;
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94 }
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95
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96 FFTModel::Column
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97 FFTModel::getColumn(int x) const
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98 {
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99 auto cplx = getFFTColumn(x);
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100 Column col;
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101 col.reserve(cplx.size());
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102 for (auto c: cplx) col.push_back(abs(c));
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103 return move(col);
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104 }
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105
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106 FFTModel::Column
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107 FFTModel::getPhases(int x) const
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Chris@1200
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108 {
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109 auto cplx = getFFTColumn(x);
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110 Column col;
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111 col.reserve(cplx.size());
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112 for (auto c: cplx) {
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113 col.push_back(arg(c));
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114 }
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Chris@1200
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115 return move(col);
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116 }
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117
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118 float
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119 FFTModel::getMagnitudeAt(int x, int y) const
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120 {
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121 if (x < 0 || x >= getWidth() || y < 0 || y >= getHeight()) return 0.f;
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122 auto col = getFFTColumn(x);
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123 return abs(col[y]);
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124 }
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125
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126 float
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127 FFTModel::getMaximumMagnitudeAt(int x) const
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128 {
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129 Column col(getColumn(x));
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130 float max = 0.f;
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131 int n = int(col.size());
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132 for (int i = 0; i < n; ++i) {
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133 if (col[i] > max) max = col[i];
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134 }
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135 return max;
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136 }
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137
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138 float
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139 FFTModel::getPhaseAt(int x, int y) const
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140 {
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141 if (x < 0 || x >= getWidth() || y < 0 || y >= getHeight()) return 0.f;
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142 return arg(getFFTColumn(x)[y]);
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143 }
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144
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145 void
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146 FFTModel::getValuesAt(int x, int y, float &re, float &im) const
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147 {
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148 auto col = getFFTColumn(x);
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149 re = col[y].real();
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150 im = col[y].imag();
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151 }
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152
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153 bool
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154 FFTModel::getMagnitudesAt(int x, float *values, int minbin, int count) const
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155 {
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156 if (count == 0) count = getHeight();
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157 auto col = getFFTColumn(x);
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158 for (int i = 0; i < count; ++i) {
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159 values[i] = abs(col[minbin + i]);
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160 }
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161 return true;
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162 }
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163
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164 bool
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165 FFTModel::getPhasesAt(int x, float *values, int minbin, int count) const
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166 {
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167 if (count == 0) count = getHeight();
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168 auto col = getFFTColumn(x);
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169 for (int i = 0; i < count; ++i) {
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170 values[i] = arg(col[minbin + i]);
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171 }
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172 return true;
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173 }
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174
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175 bool
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176 FFTModel::getValuesAt(int x, float *reals, float *imags, int minbin, int count) const
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177 {
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178 if (count == 0) count = getHeight();
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179 auto col = getFFTColumn(x);
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180 for (int i = 0; i < count; ++i) {
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181 reals[i] = col[minbin + i].real();
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182 }
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183 for (int i = 0; i < count; ++i) {
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184 imags[i] = col[minbin + i].imag();
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185 }
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186 return true;
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187 }
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188
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189 vector<float>
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190 FFTModel::getSourceSamples(int column) const
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191 {
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192 // m_fftSize may be greater than m_windowSize, but not the reverse
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193
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194 // cerr << "getSourceSamples(" << column << ")" << endl;
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195
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196 auto range = getSourceSampleRange(column);
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197 auto data = getSourceData(range);
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198
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199 int off = (m_fftSize - m_windowSize) / 2;
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200
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201 if (off == 0) {
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202 return data;
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203 } else {
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204 vector<float> pad(off, 0.f);
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205 vector<float> padded;
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206 padded.reserve(m_fftSize);
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207 padded.insert(padded.end(), pad.begin(), pad.end());
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208 padded.insert(padded.end(), data.begin(), data.end());
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209 padded.insert(padded.end(), pad.begin(), pad.end());
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210 return padded;
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211 }
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212 }
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213
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214 vector<float>
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215 FFTModel::getSourceData(pair<sv_frame_t, sv_frame_t> range) const
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216 {
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217 // cerr << "getSourceData(" << range.first << "," << range.second
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218 // << "): saved range is (" << m_savedData.range.first
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219 // << "," << m_savedData.range.second << ")" << endl;
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220
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221 if (m_savedData.range == range) {
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222 inSourceCache.hit();
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223 return m_savedData.data;
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224 }
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225
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226 if (range.first < m_savedData.range.second &&
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227 range.first >= m_savedData.range.first &&
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228 range.second > m_savedData.range.second) {
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229
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230 inSourceCache.partial();
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231
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232 sv_frame_t discard = range.first - m_savedData.range.first;
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233
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234 vector<float> acc(m_savedData.data.begin() + discard,
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235 m_savedData.data.end());
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236
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237 vector<float> rest =
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238 getSourceDataUncached({ m_savedData.range.second, range.second });
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239
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240 acc.insert(acc.end(), rest.begin(), rest.end());
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241
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242 m_savedData = { range, acc };
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243 return acc;
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244
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245 } else {
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246
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247 inSourceCache.miss();
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248
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Chris@1095
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249 auto data = getSourceDataUncached(range);
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Chris@1095
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250 m_savedData = { range, data };
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251 return data;
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252 }
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253 }
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254
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255 vector<float>
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Chris@1095
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256 FFTModel::getSourceDataUncached(pair<sv_frame_t, sv_frame_t> range) const
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Chris@1095
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257 {
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258 decltype(range.first) pfx = 0;
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259 if (range.first < 0) {
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260 pfx = -range.first;
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261 range = { 0, range.second };
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262 }
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Chris@1096
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263
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Chris@1096
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264 auto data = m_model->getData(m_channel,
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265 range.first,
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266 range.second - range.first);
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267
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268 // don't return a partial frame
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269 data.resize(range.second - range.first, 0.f);
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270
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271 if (pfx > 0) {
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272 vector<float> pad(pfx, 0.f);
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273 data.insert(data.begin(), pad.begin(), pad.end());
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274 }
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275
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276 if (m_channel == -1) {
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277 int channels = m_model->getChannelCount();
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Chris@1091
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278 if (channels > 1) {
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279 int n = int(data.size());
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280 float factor = 1.f / float(channels);
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Chris@1100
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281 // use mean instead of sum for fft model input
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282 for (int i = 0; i < n; ++i) {
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283 data[i] *= factor;
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284 }
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Chris@1091
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285 }
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Chris@1091
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286 }
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287
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288 return data;
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289 }
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290
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291 vector<complex<float>>
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292 FFTModel::getFFTColumn(int n) const
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Chris@1091
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293 {
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294 // The small cache (i.e. the m_cached deque) is for peak-frequency
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295 // spectrograms, where values from two consecutive columns are
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296 // needed at once. This cache gets essentially no hits when
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297 // scrolling through a magnitude spectrogram but 95%+ hits with a
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298 // peak-frequency spectrogram. Since it costs very little, it's
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299 // well worth having.
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300 for (const auto &incache : m_cached) {
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301 if (incache.n == n) {
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302 inSmallCache.hit();
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Chris@1093
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303 return incache.col;
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Chris@1093
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304 }
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Chris@1093
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305 }
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Chris@1256
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306 inSmallCache.miss();
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Chris@1093
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307
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Chris@1093
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308 auto samples = getSourceSamples(n);
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Chris@1100
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309 m_windower.cut(samples.data());
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Chris@1093
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310 auto col = m_fft.process(samples);
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Chris@1093
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311
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Chris@1093
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312 SavedColumn sc { n, col };
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Chris@1093
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313 if (m_cached.size() >= m_cacheSize) {
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Chris@1093
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314 m_cached.pop_front();
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Chris@1093
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315 }
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Chris@1093
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316 m_cached.push_back(sc);
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Chris@1093
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317
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Chris@1154
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318 return move(col);
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Chris@1091
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319 }
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Chris@1091
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320
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Chris@275
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321 bool
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Chris@1045
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322 FFTModel::estimateStableFrequency(int x, int y, double &frequency)
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Chris@275
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323 {
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Chris@275
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324 if (!isOK()) return false;
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Chris@275
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325
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Chris@1090
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326 frequency = double(y * getSampleRate()) / m_fftSize;
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Chris@275
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327
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Chris@275
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328 if (x+1 >= getWidth()) return false;
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Chris@275
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329
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Chris@275
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330 // At frequency f, a phase shift of 2pi (one cycle) happens in 1/f sec.
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Chris@275
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331 // At hopsize h and sample rate sr, one hop happens in h/sr sec.
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Chris@275
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332 // At window size w, for bin b, f is b*sr/w.
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Chris@275
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333 // thus 2pi phase shift happens in w/(b*sr) sec.
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Chris@275
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334 // We need to know what phase shift we expect from h/sr sec.
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Chris@275
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335 // -> 2pi * ((h/sr) / (w/(b*sr)))
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Chris@275
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336 // = 2pi * ((h * b * sr) / (w * sr))
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Chris@275
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337 // = 2pi * (h * b) / w.
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Chris@275
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338
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Chris@1038
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339 double oldPhase = getPhaseAt(x, y);
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Chris@1038
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340 double newPhase = getPhaseAt(x+1, y);
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Chris@275
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341
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Chris@929
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342 int incr = getResolution();
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Chris@275
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343
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Chris@1090
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344 double expectedPhase = oldPhase + (2.0 * M_PI * y * incr) / m_fftSize;
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Chris@275
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345
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Chris@1038
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346 double phaseError = princarg(newPhase - expectedPhase);
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Chris@275
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347
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Chris@275
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348 // The new frequency estimate based on the phase error resulting
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Chris@275
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349 // from assuming the "native" frequency of this bin
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Chris@275
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350
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Chris@275
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351 frequency =
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Chris@1090
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352 (getSampleRate() * (expectedPhase + phaseError - oldPhase)) /
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Chris@1045
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353 (2.0 * M_PI * incr);
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Chris@275
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354
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Chris@275
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355 return true;
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Chris@275
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356 }
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Chris@275
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357
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Chris@275
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358 FFTModel::PeakLocationSet
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Chris@1191
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359 FFTModel::getPeaks(PeakPickType type, int x, int ymin, int ymax) const
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Chris@275
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360 {
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Chris@551
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361 Profiler profiler("FFTModel::getPeaks");
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Chris@551
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362
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Chris@275
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363 FFTModel::PeakLocationSet peaks;
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Chris@275
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364 if (!isOK()) return peaks;
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Chris@275
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365
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Chris@275
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366 if (ymax == 0 || ymax > getHeight() - 1) {
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Chris@275
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367 ymax = getHeight() - 1;
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Chris@275
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368 }
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Chris@275
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369
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Chris@275
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370 if (type == AllPeaks) {
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Chris@551
|
371 int minbin = ymin;
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Chris@551
|
372 if (minbin > 0) minbin = minbin - 1;
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Chris@551
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373 int maxbin = ymax;
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Chris@551
|
374 if (maxbin < getHeight() - 1) maxbin = maxbin + 1;
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Chris@551
|
375 const int n = maxbin - minbin + 1;
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Chris@1218
|
376 float *values = new float[n];
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Chris@551
|
377 getMagnitudesAt(x, values, minbin, maxbin - minbin + 1);
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Chris@929
|
378 for (int bin = ymin; bin <= ymax; ++bin) {
|
Chris@551
|
379 if (bin == minbin || bin == maxbin) continue;
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Chris@551
|
380 if (values[bin - minbin] > values[bin - minbin - 1] &&
|
Chris@551
|
381 values[bin - minbin] > values[bin - minbin + 1]) {
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Chris@275
|
382 peaks.insert(bin);
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Chris@275
|
383 }
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Chris@275
|
384 }
|
Chris@1218
|
385 delete[] values;
|
Chris@275
|
386 return peaks;
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Chris@275
|
387 }
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Chris@275
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388
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Chris@551
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389 Column values = getColumn(x);
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Chris@1154
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390 int nv = int(values.size());
|
Chris@275
|
391
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Chris@500
|
392 float mean = 0.f;
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Chris@1154
|
393 for (int i = 0; i < nv; ++i) mean += values[i];
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Chris@1154
|
394 if (nv > 0) mean = mean / float(values.size());
|
Chris@1038
|
395
|
Chris@275
|
396 // For peak picking we use a moving median window, picking the
|
Chris@275
|
397 // highest value within each continuous region of values that
|
Chris@275
|
398 // exceed the median. For pitch adaptivity, we adjust the window
|
Chris@275
|
399 // size to a roughly constant pitch range (about four tones).
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Chris@275
|
400
|
Chris@1040
|
401 sv_samplerate_t sampleRate = getSampleRate();
|
Chris@275
|
402
|
Chris@1090
|
403 deque<float> window;
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Chris@1090
|
404 vector<int> inrange;
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Chris@280
|
405 float dist = 0.5;
|
Chris@500
|
406
|
Chris@929
|
407 int medianWinSize = getPeakPickWindowSize(type, sampleRate, ymin, dist);
|
Chris@929
|
408 int halfWin = medianWinSize/2;
|
Chris@275
|
409
|
Chris@929
|
410 int binmin;
|
Chris@275
|
411 if (ymin > halfWin) binmin = ymin - halfWin;
|
Chris@275
|
412 else binmin = 0;
|
Chris@275
|
413
|
Chris@929
|
414 int binmax;
|
Chris@1154
|
415 if (ymax + halfWin < nv) binmax = ymax + halfWin;
|
Chris@1154
|
416 else binmax = nv - 1;
|
Chris@275
|
417
|
Chris@929
|
418 int prevcentre = 0;
|
Chris@500
|
419
|
Chris@929
|
420 for (int bin = binmin; bin <= binmax; ++bin) {
|
Chris@275
|
421
|
Chris@275
|
422 float value = values[bin];
|
Chris@275
|
423
|
Chris@275
|
424 window.push_back(value);
|
Chris@275
|
425
|
Chris@280
|
426 // so-called median will actually be the dist*100'th percentile
|
Chris@280
|
427 medianWinSize = getPeakPickWindowSize(type, sampleRate, bin, dist);
|
Chris@275
|
428 halfWin = medianWinSize/2;
|
Chris@275
|
429
|
Chris@929
|
430 while ((int)window.size() > medianWinSize) {
|
Chris@500
|
431 window.pop_front();
|
Chris@500
|
432 }
|
Chris@500
|
433
|
Chris@1038
|
434 int actualSize = int(window.size());
|
Chris@275
|
435
|
Chris@275
|
436 if (type == MajorPitchAdaptivePeaks) {
|
Chris@1154
|
437 if (ymax + halfWin < nv) binmax = ymax + halfWin;
|
Chris@1154
|
438 else binmax = nv - 1;
|
Chris@275
|
439 }
|
Chris@275
|
440
|
Chris@1090
|
441 deque<float> sorted(window);
|
Chris@1090
|
442 sort(sorted.begin(), sorted.end());
|
Chris@1038
|
443 float median = sorted[int(float(sorted.size()) * dist)];
|
Chris@275
|
444
|
Chris@929
|
445 int centrebin = 0;
|
Chris@500
|
446 if (bin > actualSize/2) centrebin = bin - actualSize/2;
|
Chris@500
|
447
|
Chris@500
|
448 while (centrebin > prevcentre || bin == binmin) {
|
Chris@275
|
449
|
Chris@500
|
450 if (centrebin > prevcentre) ++prevcentre;
|
Chris@500
|
451
|
Chris@500
|
452 float centre = values[prevcentre];
|
Chris@500
|
453
|
Chris@500
|
454 if (centre > median) {
|
Chris@500
|
455 inrange.push_back(centrebin);
|
Chris@500
|
456 }
|
Chris@500
|
457
|
Chris@1154
|
458 if (centre <= median || centrebin+1 == nv) {
|
Chris@500
|
459 if (!inrange.empty()) {
|
Chris@929
|
460 int peakbin = 0;
|
Chris@500
|
461 float peakval = 0.f;
|
Chris@929
|
462 for (int i = 0; i < (int)inrange.size(); ++i) {
|
Chris@500
|
463 if (i == 0 || values[inrange[i]] > peakval) {
|
Chris@500
|
464 peakval = values[inrange[i]];
|
Chris@500
|
465 peakbin = inrange[i];
|
Chris@500
|
466 }
|
Chris@500
|
467 }
|
Chris@500
|
468 inrange.clear();
|
Chris@500
|
469 if (peakbin >= ymin && peakbin <= ymax) {
|
Chris@500
|
470 peaks.insert(peakbin);
|
Chris@275
|
471 }
|
Chris@275
|
472 }
|
Chris@275
|
473 }
|
Chris@500
|
474
|
Chris@500
|
475 if (bin == binmin) break;
|
Chris@275
|
476 }
|
Chris@275
|
477 }
|
Chris@275
|
478
|
Chris@275
|
479 return peaks;
|
Chris@275
|
480 }
|
Chris@275
|
481
|
Chris@929
|
482 int
|
Chris@1040
|
483 FFTModel::getPeakPickWindowSize(PeakPickType type, sv_samplerate_t sampleRate,
|
Chris@929
|
484 int bin, float &percentile) const
|
Chris@275
|
485 {
|
Chris@280
|
486 percentile = 0.5;
|
Chris@275
|
487 if (type == MajorPeaks) return 10;
|
Chris@275
|
488 if (bin == 0) return 3;
|
Chris@280
|
489
|
Chris@1091
|
490 double binfreq = (sampleRate * bin) / m_fftSize;
|
Chris@1038
|
491 double hifreq = Pitch::getFrequencyForPitch(73, 0, binfreq);
|
Chris@280
|
492
|
Chris@1091
|
493 int hibin = int(lrint((hifreq * m_fftSize) / sampleRate));
|
Chris@275
|
494 int medianWinSize = hibin - bin;
|
Chris@275
|
495 if (medianWinSize < 3) medianWinSize = 3;
|
Chris@280
|
496
|
Chris@1091
|
497 percentile = 0.5f + float(binfreq / sampleRate);
|
Chris@280
|
498
|
Chris@275
|
499 return medianWinSize;
|
Chris@275
|
500 }
|
Chris@275
|
501
|
Chris@275
|
502 FFTModel::PeakSet
|
Chris@929
|
503 FFTModel::getPeakFrequencies(PeakPickType type, int x,
|
Chris@1191
|
504 int ymin, int ymax) const
|
Chris@275
|
505 {
|
Chris@551
|
506 Profiler profiler("FFTModel::getPeakFrequencies");
|
Chris@551
|
507
|
Chris@275
|
508 PeakSet peaks;
|
Chris@275
|
509 if (!isOK()) return peaks;
|
Chris@275
|
510 PeakLocationSet locations = getPeaks(type, x, ymin, ymax);
|
Chris@275
|
511
|
Chris@1040
|
512 sv_samplerate_t sampleRate = getSampleRate();
|
Chris@929
|
513 int incr = getResolution();
|
Chris@275
|
514
|
Chris@275
|
515 // This duplicates some of the work of estimateStableFrequency to
|
Chris@275
|
516 // allow us to retrieve the phases in two separate vertical
|
Chris@275
|
517 // columns, instead of jumping back and forth between columns x and
|
Chris@275
|
518 // x+1, which may be significantly slower if re-seeking is needed
|
Chris@275
|
519
|
Chris@1090
|
520 vector<float> phases;
|
Chris@275
|
521 for (PeakLocationSet::iterator i = locations.begin();
|
Chris@275
|
522 i != locations.end(); ++i) {
|
Chris@275
|
523 phases.push_back(getPhaseAt(x, *i));
|
Chris@275
|
524 }
|
Chris@275
|
525
|
Chris@929
|
526 int phaseIndex = 0;
|
Chris@275
|
527 for (PeakLocationSet::iterator i = locations.begin();
|
Chris@275
|
528 i != locations.end(); ++i) {
|
Chris@1038
|
529 double oldPhase = phases[phaseIndex];
|
Chris@1038
|
530 double newPhase = getPhaseAt(x+1, *i);
|
Chris@1090
|
531 double expectedPhase = oldPhase + (2.0 * M_PI * *i * incr) / m_fftSize;
|
Chris@1038
|
532 double phaseError = princarg(newPhase - expectedPhase);
|
Chris@1038
|
533 double frequency =
|
Chris@275
|
534 (sampleRate * (expectedPhase + phaseError - oldPhase))
|
Chris@275
|
535 / (2 * M_PI * incr);
|
Chris@1045
|
536 peaks[*i] = frequency;
|
Chris@275
|
537 ++phaseIndex;
|
Chris@275
|
538 }
|
Chris@275
|
539
|
Chris@275
|
540 return peaks;
|
Chris@275
|
541 }
|
Chris@275
|
542
|