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