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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 NNLS-Chroma / Chordino
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5
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6 Audio feature extraction plugins for chromagram and chord
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7 estimation.
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8
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9 Centre for Digital Music, Queen Mary University of London.
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10 This file copyright 2008-2010 Matthias Mauch and QMUL.
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11
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12 This program is free software; you can redistribute it and/or
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13 modify it under the terms of the GNU General Public License as
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14 published by the Free Software Foundation; either version 2 of the
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15 License, or (at your option) any later version. See the file
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16 COPYING included with this distribution for more information.
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17 */
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18
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19 #include "NNLSChroma.h"
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20
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21 #include "chromamethods.h"
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22
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23 #include <cstdlib>
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24 #include <fstream>
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25 #include <cmath>
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26
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27 #include <algorithm>
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28
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29 const bool debug_on = false;
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30
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31 NNLSChroma::NNLSChroma(float inputSampleRate) :
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32 NNLSBase(inputSampleRate)
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33 {
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34 if (debug_on) cerr << "--> NNLSChroma" << endl;
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35 }
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36
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37 NNLSChroma::~NNLSChroma()
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38 {
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39 if (debug_on) cerr << "--> ~NNLSChroma" << endl;
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40 }
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41
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42 string
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43 NNLSChroma::getIdentifier() const
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44 {
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45 if (debug_on) cerr << "--> getIdentifier" << endl;
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46 return "nnls-chroma";
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47 }
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48
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49 string
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50 NNLSChroma::getName() const
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51 {
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52 if (debug_on) cerr << "--> getName" << endl;
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53 return "NNLS Chroma";
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54 }
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55
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56 string
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57 NNLSChroma::getDescription() const
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58 {
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59 if (debug_on) cerr << "--> getDescription" << endl;
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60 return "This plugin provides a number of features derived from a DFT-based log-frequency amplitude spectrum: some variants of the log-frequency spectrum, including a semitone spectrum derived from approximate transcription using the NNLS algorithm; and based on this semitone spectrum, different chroma features.";
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61 }
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62
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63 NNLSChroma::OutputList
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64 NNLSChroma::getOutputDescriptors() const
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65 {
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66 if (debug_on) cerr << "--> getOutputDescriptors" << endl;
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67 OutputList list;
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68
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69 // Make chroma names for the binNames property
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70 vector<string> chromanames;
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71 vector<string> bothchromanames;
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72 for (int iNote = 0; iNote < 24; iNote++) {
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73 bothchromanames.push_back(notenames[iNote]);
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74 if (iNote < 12) {
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75 chromanames.push_back(notenames[iNote+12]);
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76 }
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77 }
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78
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79 int index = 0;
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80
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81 OutputDescriptor d1;
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82 d1.identifier = "logfreqspec";
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83 d1.name = "Log-Frequency Spectrum";
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84 d1.description = "A Log-Frequency Spectrum (constant Q) that is obtained by cosine filter mapping.";
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85 d1.unit = "";
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86 d1.hasFixedBinCount = true;
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87 d1.binCount = nNote;
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88 d1.hasKnownExtents = false;
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89 d1.isQuantized = false;
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90 d1.sampleType = OutputDescriptor::FixedSampleRate;
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91 d1.hasDuration = false;
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92 d1.sampleRate = (m_stepSize == 0) ? m_inputSampleRate/2048 : m_inputSampleRate/m_stepSize;
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93 list.push_back(d1);
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94 m_outputLogSpec = index++;
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95
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96 OutputDescriptor d2;
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97 d2.identifier = "tunedlogfreqspec";
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98 d2.name = "Tuned Log-Frequency Spectrum";
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99 d2.description = "A Log-Frequency Spectrum (constant Q) that is obtained by cosine filter mapping, then its tuned using the estimated tuning frequency.";
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100 d2.unit = "";
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101 d2.hasFixedBinCount = true;
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102 d2.binCount = nNote;
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103 d2.hasKnownExtents = false;
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104 d2.isQuantized = false;
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105 d2.sampleType = OutputDescriptor::FixedSampleRate;
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106 d2.hasDuration = false;
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107 d2.sampleRate = (m_stepSize == 0) ? m_inputSampleRate/2048 : m_inputSampleRate/m_stepSize;
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108 list.push_back(d2);
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109 m_outputTunedSpec = index++;
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110
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111 OutputDescriptor d3;
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112 d3.identifier = "semitonespectrum";
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113 d3.name = "Semitone Spectrum";
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114 d3.description = "A semitone-spaced log-frequency spectrum derived from the third-of-a-semitone-spaced tuned log-frequency spectrum.";
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115 d3.unit = "";
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116 d3.hasFixedBinCount = true;
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117 d3.binCount = 84;
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118 d3.hasKnownExtents = false;
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119 d3.isQuantized = false;
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120 d3.sampleType = OutputDescriptor::FixedSampleRate;
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121 d3.hasDuration = false;
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122 d3.sampleRate = (m_stepSize == 0) ? m_inputSampleRate/2048 : m_inputSampleRate/m_stepSize;
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123 list.push_back(d3);
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124 m_outputSemiSpec = index++;
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125
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126 OutputDescriptor d4;
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127 d4.identifier = "chroma";
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128 d4.name = "Chromagram";
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129 d4.description = "Tuning-adjusted chromagram from NNLS approximate transcription, with an emphasis on the medium note range.";
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130 d4.unit = "";
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131 d4.hasFixedBinCount = true;
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132 d4.binCount = 12;
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133 d4.binNames = chromanames;
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134 d4.hasKnownExtents = false;
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135 d4.isQuantized = false;
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136 d4.sampleType = OutputDescriptor::FixedSampleRate;
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137 d4.hasDuration = false;
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138 d4.sampleRate = (m_stepSize == 0) ? m_inputSampleRate/2048 : m_inputSampleRate/m_stepSize;
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139 list.push_back(d4);
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140 m_outputChroma = index++;
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141
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142 OutputDescriptor d5;
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143 d5.identifier = "basschroma";
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144 d5.name = "Bass Chromagram";
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145 d5.description = "Tuning-adjusted bass chromagram from NNLS approximate transcription, with an emphasis on the bass note range.";
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146 d5.unit = "";
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147 d5.hasFixedBinCount = true;
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148 d5.binCount = 12;
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149 d5.binNames = chromanames;
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150 d5.hasKnownExtents = false;
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151 d5.isQuantized = false;
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152 d5.sampleType = OutputDescriptor::FixedSampleRate;
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153 d5.hasDuration = false;
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154 d5.sampleRate = (m_stepSize == 0) ? m_inputSampleRate/2048 : m_inputSampleRate/m_stepSize;
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155 list.push_back(d5);
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156 m_outputBassChroma = index++;
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157
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158 OutputDescriptor d6;
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159 d6.identifier = "bothchroma";
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160 d6.name = "Chromagram and Bass Chromagram";
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161 d6.description = "Tuning-adjusted chromagram and bass chromagram (stacked on top of each other) from NNLS approximate transcription.";
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162 d6.unit = "";
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163 d6.hasFixedBinCount = true;
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164 d6.binCount = 24;
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165 d6.binNames = bothchromanames;
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166 d6.hasKnownExtents = false;
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167 d6.isQuantized = false;
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168 d6.sampleType = OutputDescriptor::FixedSampleRate;
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169 d6.hasDuration = false;
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170 d6.sampleRate = (m_stepSize == 0) ? m_inputSampleRate/2048 : m_inputSampleRate/m_stepSize;
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171 list.push_back(d6);
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172 m_outputBothChroma = index++;
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173
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174 return list;
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175 }
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176
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177
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178 bool
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179 NNLSChroma::initialise(size_t channels, size_t stepSize, size_t blockSize)
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180 {
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181 if (debug_on) {
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182 cerr << "--> initialise";
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183 }
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184
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185 if (!NNLSBase::initialise(channels, stepSize, blockSize)) {
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186 return false;
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187 }
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188
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189 return true;
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190 }
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191
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192 void
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193 NNLSChroma::reset()
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194 {
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195 if (debug_on) cerr << "--> reset";
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196 NNLSBase::reset();
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197 }
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198
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199 NNLSChroma::FeatureSet
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200 NNLSChroma::process(const float *const *inputBuffers, Vamp::RealTime timestamp)
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201 {
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202 if (debug_on) cerr << "--> process" << endl;
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203
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204 NNLSBase::baseProcess(inputBuffers, timestamp);
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205
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206 FeatureSet fs;
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207 fs[m_outputLogSpec].push_back(m_logSpectrum[m_logSpectrum.size()-1]);
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208 return fs;
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209 }
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210
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211 NNLSChroma::FeatureSet
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212 NNLSChroma::getRemainingFeatures()
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213 {
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214 if (debug_on) cerr << "--> getRemainingFeatures" << endl;
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215 FeatureSet fsOut;
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216 if (m_logSpectrum.size() == 0) return fsOut;
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217 //
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218 /** Calculate Tuning
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219 calculate tuning from (using the angle of the complex number defined by the
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220 cumulative mean real and imag values)
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221 **/
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222 float meanTuningImag = sinvalue * m_meanTuning1 - sinvalue * m_meanTuning2;
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223 float meanTuningReal = m_meanTuning0 + cosvalue * m_meanTuning1 + cosvalue * m_meanTuning2;
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224 float cumulativetuning = 440 * pow(2,atan2(meanTuningImag, meanTuningReal)/(24*M_PI));
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225 float normalisedtuning = atan2(meanTuningImag, meanTuningReal)/(2*M_PI);
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226 int intShift = floor(normalisedtuning * 3);
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227 float intFactor = normalisedtuning * 3 - intShift; // intFactor is a really bad name for this
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228
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229 char buffer0 [50];
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230
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231 sprintf(buffer0, "estimated tuning: %0.1f Hz", cumulativetuning);
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232
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233 // cerr << "normalisedtuning: " << normalisedtuning << '\n';
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234
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235 /** Tune Log-Frequency Spectrogram
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236 calculate a tuned log-frequency spectrogram (f2): use the tuning estimated above (kinda f0) to
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237 perform linear interpolation on the existing log-frequency spectrogram (kinda f1).
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238 **/
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239 cerr << endl << "[NNLS Chroma Plugin] Tuning Log-Frequency Spectrogram ... ";
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240
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241 float tempValue = 0;
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242 float dbThreshold = 0; // relative to the background spectrum
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243 float thresh = pow(10,dbThreshold/20);
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244 // cerr << "tune local ? " << m_tuneLocal << endl;
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245 int count = 0;
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246
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247 cerr << nNote;
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248 cerr << endl << "-------------------------------------"<< endl;
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249
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250 for (FeatureList::iterator i = m_logSpectrum.begin(); i != m_logSpectrum.end(); ++i) {
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251 Feature f1 = *i;
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252 Feature f2; // tuned log-frequency spectrum
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253 f2.hasTimestamp = true;
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254 f2.timestamp = f1.timestamp;
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255 f2.values.push_back(0.0); f2.values.push_back(0.0); // set lower edge to zero
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256
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257 if (m_tuneLocal) {
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258 intShift = floor(m_localTuning[count] * 3);
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259 intFactor = m_localTuning[count] * 3 - intShift; // intFactor is a really bad name for this
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260 }
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261
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262 // cerr << intShift << " " << intFactor << endl;
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263
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264 for (unsigned k = 2; k < f1.values.size() - 3; ++k) { // interpolate all inner bins
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265 tempValue = f1.values[k + intShift] * (1-intFactor) + f1.values[k+intShift+1] * intFactor;
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266 f2.values.push_back(tempValue);
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267 }
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268
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269 f2.values.push_back(0.0); f2.values.push_back(0.0); f2.values.push_back(0.0); // upper edge
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270
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271 vector<float> runningmean = SpecialConvolution(f2.values,hw);
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272 vector<float> runningstd;
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273 for (int i = 0; i < nNote; i++) { // first step: squared values into vector (variance)
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274 runningstd.push_back((f2.values[i] - runningmean[i]) * (f2.values[i] - runningmean[i]));
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275 }
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276 runningstd = SpecialConvolution(runningstd,hw); // second step convolve
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277 for (int i = 0; i < nNote; i++) {
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278 runningstd[i] = sqrt(runningstd[i]); // square root to finally have running std
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279 if (runningstd[i] > 0) {
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280 // f2.values[i] = (f2.values[i] / runningmean[i]) > thresh ?
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281 // (f2.values[i] - runningmean[i]) / pow(runningstd[i],m_whitening) : 0;
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282 f2.values[i] = (f2.values[i] - runningmean[i]) > 0 ?
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283 (f2.values[i] - runningmean[i]) / pow(runningstd[i],m_whitening) : 0;
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284 }
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285 if (f2.values[i] < 0) {
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286 cerr << "ERROR: negative value in logfreq spectrum" << endl;
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287 }
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288 }
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289 fsOut[m_outputTunedSpec].push_back(f2);
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290 count++;
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291 }
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292 cerr << "done." << endl;
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293
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294 /** Semitone spectrum and chromagrams
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295 Semitone-spaced log-frequency spectrum derived from the tuned log-freq spectrum above. the spectrum
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296 is inferred using a non-negative least squares algorithm.
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297 Three different kinds of chromagram are calculated, "treble", "bass", and "both" (which means
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298 bass and treble stacked onto each other).
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299 **/
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300 if (m_useNNLS == 0) {
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301 cerr << "[NNLS Chroma Plugin] Mapping to semitone spectrum and chroma ... ";
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302 } else {
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303 cerr << "[NNLS Chroma Plugin] Performing NNLS and mapping to chroma ... ";
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304 }
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matthiasm@13
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305
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matthiasm@1
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306
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307 vector<float> oldchroma = vector<float>(12,0);
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308 vector<float> oldbasschroma = vector<float>(12,0);
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309 count = 0;
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310
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311 for (FeatureList::iterator it = fsOut[m_outputTunedSpec].begin(); it != fsOut[m_outputTunedSpec].end(); ++it) {
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312 Feature f2 = *it; // logfreq spectrum
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313 Feature f3; // semitone spectrum
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314 Feature f4; // treble chromagram
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315 Feature f5; // bass chromagram
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316 Feature f6; // treble and bass chromagram
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317
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318 f3.hasTimestamp = true;
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319 f3.timestamp = f2.timestamp;
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320
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321 f4.hasTimestamp = true;
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322 f4.timestamp = f2.timestamp;
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323
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324 f5.hasTimestamp = true;
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325 f5.timestamp = f2.timestamp;
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326
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327 f6.hasTimestamp = true;
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328 f6.timestamp = f2.timestamp;
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329
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mail@77
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330 float b[nNote];
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matthiasm@1
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331
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Chris@23
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332 bool some_b_greater_zero = false;
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Chris@23
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333 float sumb = 0;
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mail@77
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334 for (int i = 0; i < nNote; i++) {
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mail@77
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335 // b[i] = m_dict[(nNote * count + i) % (nNote * 84)];
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Chris@23
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336 b[i] = f2.values[i];
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Chris@23
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337 sumb += b[i];
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Chris@23
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338 if (b[i] > 0) {
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Chris@23
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339 some_b_greater_zero = true;
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Chris@23
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340 }
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Chris@23
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341 }
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matthiasm@1
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342
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Chris@23
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343 // here's where the non-negative least squares algorithm calculates the note activation x
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matthiasm@1
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344
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Chris@23
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345 vector<float> chroma = vector<float>(12, 0);
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Chris@23
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346 vector<float> basschroma = vector<float>(12, 0);
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Chris@23
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347 float currval;
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Chris@23
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348 unsigned iSemitone = 0;
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matthiasm@1
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349
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Chris@23
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350 if (some_b_greater_zero) {
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matthiasm@42
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351 if (m_useNNLS == 0) {
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Chris@23
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352 for (unsigned iNote = 2; iNote < nNote - 2; iNote += 3) {
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Chris@23
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353 currval = 0;
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Chris@23
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354 currval += b[iNote + 1 + -1] * 0.5;
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Chris@23
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355 currval += b[iNote + 1 + 0] * 1.0;
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Chris@23
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356 currval += b[iNote + 1 + 1] * 0.5;
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Chris@23
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357 f3.values.push_back(currval);
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Chris@23
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358 chroma[iSemitone % 12] += currval * treblewindow[iSemitone];
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Chris@23
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359 basschroma[iSemitone % 12] += currval * basswindow[iSemitone];
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Chris@23
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360 iSemitone++;
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Chris@23
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361 }
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matthiasm@1
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362
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Chris@23
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363 } else {
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Chris@35
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364 float x[84+1000];
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Chris@23
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365 for (int i = 1; i < 1084; ++i) x[i] = 1.0;
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Chris@23
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366 vector<int> signifIndex;
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Chris@23
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367 int index=0;
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Chris@23
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368 sumb /= 84.0;
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Chris@23
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369 for (unsigned iNote = 2; iNote < nNote - 2; iNote += 3) {
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Chris@23
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370 float currval = 0;
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Chris@35
|
371 currval += b[iNote + 1 + -1];
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Chris@35
|
372 currval += b[iNote + 1 + 0];
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Chris@23
|
373 currval += b[iNote + 1 + 1];
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Chris@23
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374 if (currval > 0) signifIndex.push_back(index);
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Chris@23
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375 f3.values.push_back(0); // fill the values, change later
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Chris@23
|
376 index++;
|
Chris@23
|
377 }
|
Chris@35
|
378 float rnorm;
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Chris@35
|
379 float w[84+1000];
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Chris@35
|
380 float zz[84+1000];
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Chris@23
|
381 int indx[84+1000];
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Chris@23
|
382 int mode;
|
mail@77
|
383 int dictsize = nNote*signifIndex.size();
|
Chris@23
|
384 // cerr << "dictsize is " << dictsize << "and values size" << f3.values.size()<< endl;
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Chris@35
|
385 float *curr_dict = new float[dictsize];
|
Chris@23
|
386 for (unsigned iNote = 0; iNote < signifIndex.size(); ++iNote) {
|
mail@77
|
387 for (unsigned iBin = 0; iBin < nNote; iBin++) {
|
mail@77
|
388 curr_dict[iNote * nNote + iBin] = 1.0 * m_dict[signifIndex[iNote] * nNote + iBin];
|
Chris@23
|
389 }
|
Chris@23
|
390 }
|
Chris@35
|
391 nnls(curr_dict, nNote, nNote, signifIndex.size(), b, x, &rnorm, w, zz, indx, &mode);
|
Chris@23
|
392 delete [] curr_dict;
|
Chris@23
|
393 for (unsigned iNote = 0; iNote < signifIndex.size(); ++iNote) {
|
Chris@23
|
394 f3.values[signifIndex[iNote]] = x[iNote];
|
Chris@23
|
395 // cerr << mode << endl;
|
Chris@23
|
396 chroma[signifIndex[iNote] % 12] += x[iNote] * treblewindow[signifIndex[iNote]];
|
Chris@23
|
397 basschroma[signifIndex[iNote] % 12] += x[iNote] * basswindow[signifIndex[iNote]];
|
Chris@23
|
398 }
|
Chris@23
|
399 }
|
Chris@23
|
400 }
|
matthiasm@13
|
401
|
Chris@23
|
402 f4.values = chroma;
|
Chris@23
|
403 f5.values = basschroma;
|
Chris@23
|
404 chroma.insert(chroma.begin(), basschroma.begin(), basschroma.end()); // just stack the both chromas
|
Chris@23
|
405 f6.values = chroma;
|
matthiasm@1
|
406
|
Chris@23
|
407 if (m_doNormalizeChroma > 0) {
|
Chris@23
|
408 vector<float> chromanorm = vector<float>(3,0);
|
Chris@23
|
409 switch (int(m_doNormalizeChroma)) {
|
Chris@23
|
410 case 0: // should never end up here
|
Chris@23
|
411 break;
|
Chris@23
|
412 case 1:
|
Chris@23
|
413 chromanorm[0] = *max_element(f4.values.begin(), f4.values.end());
|
Chris@23
|
414 chromanorm[1] = *max_element(f5.values.begin(), f5.values.end());
|
Chris@23
|
415 chromanorm[2] = max(chromanorm[0], chromanorm[1]);
|
Chris@23
|
416 break;
|
Chris@23
|
417 case 2:
|
Chris@23
|
418 for (vector<float>::iterator it = f4.values.begin(); it != f4.values.end(); ++it) {
|
Chris@23
|
419 chromanorm[0] += *it;
|
Chris@23
|
420 }
|
Chris@23
|
421 for (vector<float>::iterator it = f5.values.begin(); it != f5.values.end(); ++it) {
|
Chris@23
|
422 chromanorm[1] += *it;
|
Chris@23
|
423 }
|
Chris@23
|
424 for (vector<float>::iterator it = f6.values.begin(); it != f6.values.end(); ++it) {
|
Chris@23
|
425 chromanorm[2] += *it;
|
Chris@23
|
426 }
|
Chris@23
|
427 break;
|
Chris@23
|
428 case 3:
|
Chris@23
|
429 for (vector<float>::iterator it = f4.values.begin(); it != f4.values.end(); ++it) {
|
Chris@23
|
430 chromanorm[0] += pow(*it,2);
|
Chris@23
|
431 }
|
Chris@23
|
432 chromanorm[0] = sqrt(chromanorm[0]);
|
Chris@23
|
433 for (vector<float>::iterator it = f5.values.begin(); it != f5.values.end(); ++it) {
|
Chris@23
|
434 chromanorm[1] += pow(*it,2);
|
Chris@23
|
435 }
|
Chris@23
|
436 chromanorm[1] = sqrt(chromanorm[1]);
|
Chris@23
|
437 for (vector<float>::iterator it = f6.values.begin(); it != f6.values.end(); ++it) {
|
Chris@23
|
438 chromanorm[2] += pow(*it,2);
|
Chris@23
|
439 }
|
Chris@23
|
440 chromanorm[2] = sqrt(chromanorm[2]);
|
Chris@23
|
441 break;
|
Chris@23
|
442 }
|
Chris@23
|
443 if (chromanorm[0] > 0) {
|
Chris@23
|
444 for (int i = 0; i < f4.values.size(); i++) {
|
Chris@23
|
445 f4.values[i] /= chromanorm[0];
|
Chris@23
|
446 }
|
Chris@23
|
447 }
|
Chris@23
|
448 if (chromanorm[1] > 0) {
|
Chris@23
|
449 for (int i = 0; i < f5.values.size(); i++) {
|
Chris@23
|
450 f5.values[i] /= chromanorm[1];
|
Chris@23
|
451 }
|
Chris@23
|
452 }
|
Chris@23
|
453 if (chromanorm[2] > 0) {
|
Chris@23
|
454 for (int i = 0; i < f6.values.size(); i++) {
|
Chris@23
|
455 f6.values[i] /= chromanorm[2];
|
Chris@23
|
456 }
|
Chris@23
|
457 }
|
Chris@23
|
458 }
|
matthiasm@13
|
459
|
Chris@35
|
460 fsOut[m_outputSemiSpec].push_back(f3);
|
Chris@35
|
461 fsOut[m_outputChroma].push_back(f4);
|
Chris@35
|
462 fsOut[m_outputBassChroma].push_back(f5);
|
Chris@35
|
463 fsOut[m_outputBothChroma].push_back(f6);
|
Chris@23
|
464 count++;
|
Chris@23
|
465 }
|
Chris@23
|
466 cerr << "done." << endl;
|
matthiasm@10
|
467
|
Chris@23
|
468 return fsOut;
|
matthiasm@0
|
469
|
matthiasm@0
|
470 }
|
matthiasm@0
|
471
|