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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 Permission is hereby granted, free of charge, to any person
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4 obtaining a copy of this software and associated documentation
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5 files (the "Software"), to deal in the Software without
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6 restriction, including without limitation the rights to use, copy,
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7 modify, merge, publish, distribute, sublicense, and/or sell copies
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8 of the Software, and to permit persons to whom the Software is
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9 furnished to do so, subject to the following conditions:
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10
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11 The above copyright notice and this permission notice shall be
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12 included in all copies or substantial portions of the Software.
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13
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14 THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
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15 EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
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16 MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
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17 NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS BE LIABLE FOR
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18 ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF
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19 CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
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20 WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
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21 */
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22
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23 #include "CepstrumPitchTracker.h"
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24
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25 #include <vector>
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26 #include <algorithm>
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27
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28 #include <cstdio>
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29 #include <cmath>
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30 #include <complex>
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31
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32 using std::string;
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33 using std::vector;
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34
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35 CepstrumPitchTracker::Hypothesis::Hypothesis(Estimate s)
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36 {
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37 m_state = Provisional;
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38 m_pending.push_back(s);
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39 m_age = 0;
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40 }
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41
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42 bool
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43 CepstrumPitchTracker::Hypothesis::isWithinTolerance(Estimate s)
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44 {
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45 if (m_pending.empty()) {
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46 return true;
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47 }
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48 Estimate last = m_pending[m_pending.size()-1];
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49 double r = s.freq / last.freq;
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50 int cents = lrint(1200.0 * (log(r) / log(2.0)));
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51 return (cents > -200 && cents < 200);
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52 }
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53
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54 bool
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55 CepstrumPitchTracker::Hypothesis::isSatisfied()
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56 {
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57 return (m_pending.size() > 2);
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58 }
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59
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60 bool
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61 CepstrumPitchTracker::Hypothesis::test(Estimate s)
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62 {
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63 if (m_state == Rejected || m_state == Expired) {
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64 return false;
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65 }
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66
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67 if (++m_age > 3) {
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68 if (m_state == Satisfied) {
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69 m_state = Expired;
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70 } else {
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71 m_state = Rejected;
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72 }
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73 return false;
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74 }
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75
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76 if (isWithinTolerance(s)) {
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77 m_pending.push_back(s);
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78 if (m_state == Provisional) {
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79 if (isSatisfied()) {
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80 m_state == Satisfied;
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81 }
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82 }
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83 m_age = 0;
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84 return true;
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85 }
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86
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87 return false;
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88 }
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89
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90 CepstrumPitchTracker::Hypothesis::State
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91 CepstrumPitchTracker::Hypothesis::getState()
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92 {
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93 return m_state;
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94 }
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95
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96 CepstrumPitchTracker::Hypothesis::Estimates
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97 CepstrumPitchTracker::Hypothesis::getAcceptedEstimates()
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98 {
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99 if (m_state == Satisfied || m_state == Expired) {
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100 return m_pending;
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101 } else {
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102 return Estimates();
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103 }
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104 }
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105
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106
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107 CepstrumPitchTracker::CepstrumPitchTracker(float inputSampleRate) :
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108 Plugin(inputSampleRate),
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109 m_channels(0),
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110 m_stepSize(256),
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111 m_blockSize(1024),
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112 m_fmin(50),
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113 m_fmax(1000),
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114 m_histlen(1),
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115 m_vflen(3),
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116 m_binFrom(0),
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117 m_binTo(0),
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118 m_bins(0),
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119 m_accepted(0),
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120 m_history(0),
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121 m_prevpeak(0),
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122 m_prevprop(0)
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123 {
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124 }
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125
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126 CepstrumPitchTracker::~CepstrumPitchTracker()
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127 {
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128 if (m_history) {
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129 for (int i = 0; i < m_histlen; ++i) {
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130 delete[] m_history[i];
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131 }
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132 delete[] m_history;
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133 }
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134 }
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135
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136 string
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137 CepstrumPitchTracker::getIdentifier() const
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138 {
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139 return "cepstrum-pitch";
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140 }
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141
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142 string
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143 CepstrumPitchTracker::getName() const
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144 {
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145 return "Cepstrum Pitch Tracker";
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146 }
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147
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148 string
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149 CepstrumPitchTracker::getDescription() const
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150 {
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151 return "Estimate f0 of monophonic material using a cepstrum method.";
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152 }
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153
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154 string
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155 CepstrumPitchTracker::getMaker() const
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156 {
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157 return "Chris Cannam";
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158 }
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159
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160 int
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161 CepstrumPitchTracker::getPluginVersion() const
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162 {
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163 // Increment this each time you release a version that behaves
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164 // differently from the previous one
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165 return 1;
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166 }
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167
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168 string
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169 CepstrumPitchTracker::getCopyright() const
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170 {
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171 return "Freely redistributable (BSD license)";
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172 }
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173
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174 CepstrumPitchTracker::InputDomain
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175 CepstrumPitchTracker::getInputDomain() const
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176 {
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177 return FrequencyDomain;
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178 }
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179
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180 size_t
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181 CepstrumPitchTracker::getPreferredBlockSize() const
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182 {
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183 return 1024;
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184 }
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185
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186 size_t
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187 CepstrumPitchTracker::getPreferredStepSize() const
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188 {
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189 return 256;
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190 }
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191
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192 size_t
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193 CepstrumPitchTracker::getMinChannelCount() const
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194 {
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195 return 1;
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196 }
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197
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198 size_t
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199 CepstrumPitchTracker::getMaxChannelCount() const
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200 {
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201 return 1;
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202 }
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203
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204 CepstrumPitchTracker::ParameterList
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205 CepstrumPitchTracker::getParameterDescriptors() const
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206 {
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207 ParameterList list;
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208 return list;
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209 }
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210
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211 float
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212 CepstrumPitchTracker::getParameter(string identifier) const
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213 {
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214 return 0.f;
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215 }
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216
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217 void
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218 CepstrumPitchTracker::setParameter(string identifier, float value)
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219 {
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220 }
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221
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222 CepstrumPitchTracker::ProgramList
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223 CepstrumPitchTracker::getPrograms() const
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224 {
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225 ProgramList list;
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226 return list;
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227 }
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228
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229 string
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230 CepstrumPitchTracker::getCurrentProgram() const
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231 {
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232 return ""; // no programs
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233 }
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234
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235 void
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236 CepstrumPitchTracker::selectProgram(string name)
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237 {
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238 }
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239
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240 CepstrumPitchTracker::OutputList
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241 CepstrumPitchTracker::getOutputDescriptors() const
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242 {
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243 OutputList outputs;
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244
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245 int n = 0;
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246
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247 OutputDescriptor d;
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248
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249 d.identifier = "f0";
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250 d.name = "Estimated f0";
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251 d.description = "Estimated fundamental frequency";
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252 d.unit = "Hz";
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253 d.hasFixedBinCount = true;
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254 d.binCount = 1;
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255 d.hasKnownExtents = true;
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256 d.minValue = m_fmin;
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257 d.maxValue = m_fmax;
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258 d.isQuantized = false;
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259 d.sampleType = OutputDescriptor::FixedSampleRate;
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260 d.sampleRate = (m_inputSampleRate / m_stepSize);
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261 d.hasDuration = false;
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262 outputs.push_back(d);
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263
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264 return outputs;
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265 }
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266
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267 bool
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268 CepstrumPitchTracker::initialise(size_t channels, size_t stepSize, size_t blockSize)
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269 {
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270 if (channels < getMinChannelCount() ||
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271 channels > getMaxChannelCount()) return false;
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272
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273 // std::cerr << "CepstrumPitchTracker::initialise: channels = " << channels
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274 // << ", stepSize = " << stepSize << ", blockSize = " << blockSize
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275 // << std::endl;
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276
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277 m_channels = channels;
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278 m_stepSize = stepSize;
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279 m_blockSize = blockSize;
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280
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281 m_binFrom = int(m_inputSampleRate / m_fmax);
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282 m_binTo = int(m_inputSampleRate / m_fmin);
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283
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284 if (m_binTo >= (int)m_blockSize / 2) {
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285 m_binTo = m_blockSize / 2 - 1;
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286 }
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287
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288 m_bins = (m_binTo - m_binFrom) + 1;
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289
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290 m_history = new double *[m_histlen];
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291 for (int i = 0; i < m_histlen; ++i) {
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292 m_history[i] = new double[m_bins];
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293 }
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294
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295 reset();
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296
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297 return true;
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298 }
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299
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300 void
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301 CepstrumPitchTracker::reset()
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302 {
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303 for (int i = 0; i < m_histlen; ++i) {
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304 for (int j = 0; j < m_bins; ++j) {
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305 m_history[i][j] = 0.0;
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306 }
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307 }
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308 }
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309
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310 void
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311 CepstrumPitchTracker::filter(const double *cep, double *result)
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312 {
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313 int hix = m_histlen - 1; // current history index
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314
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315 // roll back the history
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316 if (m_histlen > 1) {
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317 double *oldest = m_history[0];
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318 for (int i = 1; i < m_histlen; ++i) {
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319 m_history[i-1] = m_history[i];
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320 }
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321 // and stick this back in the newest spot, to recycle
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322 m_history[hix] = oldest;
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323 }
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324
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325 for (int i = 0; i < m_bins; ++i) {
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326 double v = 0;
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327 int n = 0;
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328 // average according to the vertical filter length
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329 for (int j = -m_vflen/2; j <= m_vflen/2; ++j) {
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330 int ix = i + m_binFrom + j;
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331 if (ix >= 0 && ix < m_blockSize) {
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332 v += cep[ix];
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333 ++n;
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334 }
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335 }
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336 m_history[hix][i] = v / n;
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337 }
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338
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339 for (int i = 0; i < m_bins; ++i) {
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340 double mean = 0.0;
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341 for (int j = 0; j < m_histlen; ++j) {
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342 mean += m_history[j][i];
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343 }
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344 mean /= m_histlen;
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345 result[i] = mean;
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346 }
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347 }
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348
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349 double
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350 CepstrumPitchTracker::calculatePeakProportion(const double *data, double abstot, int n)
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351 {
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352 double aroundPeak = data[n];
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353 double peakProportion = 0.0;
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354
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355 int i = n - 1;
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356 while (i > 0 && data[i] <= data[i+1]) {
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357 aroundPeak += fabs(data[i]);
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358 --i;
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359 }
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360 i = n + 1;
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361 while (i < m_bins && data[i] <= data[i-1]) {
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362 aroundPeak += fabs(data[i]);
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363 ++i;
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364 }
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365 peakProportion = aroundPeak / abstot;
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366
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367 return peakProportion;
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368 }
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369
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370 bool
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371 CepstrumPitchTracker::acceptPeak(int n, double peakProportion)
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372 {
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373 bool accept = false;
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374
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375 if (abs(n - m_prevpeak) < 10) { //!!! should depend on bin count
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376 accept = true;
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377 } else if (peakProportion > m_prevprop * 2) {
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378 accept = true;
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379 }
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380
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381 return accept;
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382 }
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383
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384 CepstrumPitchTracker::FeatureSet
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385 CepstrumPitchTracker::process(const float *const *inputBuffers, Vamp::RealTime timestamp)
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386 {
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387 FeatureSet fs;
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388
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389 int bs = m_blockSize;
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390 int hs = m_blockSize/2 + 1;
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391
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392 double *rawcep = new double[bs];
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393 double *io = new double[bs];
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394 double *logmag = new double[bs];
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395
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396 // The "inverse symmetric" method. Seems to be the most reliable
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397
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398 for (int i = 0; i < hs; ++i) {
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399
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400 double power =
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401 inputBuffers[0][i*2 ] * inputBuffers[0][i*2 ] +
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402 inputBuffers[0][i*2+1] * inputBuffers[0][i*2+1];
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403 double mag = sqrt(power);
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404
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Chris@8
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405 double lm = log(mag + 0.00000001);
|
Chris@8
|
406
|
Chris@9
|
407 logmag[i] = lm;
|
Chris@9
|
408 if (i > 0) logmag[bs - i] = lm;
|
Chris@8
|
409 }
|
Chris@8
|
410
|
Chris@9
|
411 fft(bs, true, logmag, 0, rawcep, io);
|
Chris@8
|
412
|
Chris@8
|
413 delete[] logmag;
|
Chris@8
|
414 delete[] io;
|
Chris@8
|
415
|
Chris@8
|
416 int n = m_bins;
|
Chris@8
|
417 double *data = new double[n];
|
Chris@8
|
418 filter(rawcep, data);
|
Chris@8
|
419 delete[] rawcep;
|
Chris@8
|
420
|
Chris@11
|
421 double abstot = 0.0;
|
Chris@11
|
422
|
Chris@11
|
423 for (int i = 0; i < n; ++i) {
|
Chris@11
|
424 abstot += fabs(data[i]);
|
Chris@11
|
425 }
|
Chris@11
|
426
|
Chris@8
|
427 double maxval = 0.0;
|
Chris@11
|
428 int maxbin = -1;
|
Chris@8
|
429
|
Chris@8
|
430 for (int i = 0; i < n; ++i) {
|
Chris@8
|
431 if (data[i] > maxval) {
|
Chris@8
|
432 maxval = data[i];
|
Chris@8
|
433 maxbin = i;
|
Chris@8
|
434 }
|
Chris@8
|
435 }
|
Chris@8
|
436
|
Chris@11
|
437 bool accepted = false;
|
Chris@11
|
438
|
Chris@11
|
439 if (maxbin >= 0) {
|
Chris@11
|
440 double pp = calculatePeakProportion(data, abstot, maxbin);
|
Chris@11
|
441 if (acceptPeak(maxbin, pp)) {
|
Chris@11
|
442 accepted = true;
|
Chris@11
|
443 } else {
|
Chris@11
|
444 // try a secondary peak
|
Chris@11
|
445 maxval = 0.0;
|
Chris@11
|
446 int secondbin = 0;
|
Chris@11
|
447 for (int i = 1; i < n-1; ++i) {
|
Chris@11
|
448 if (i != maxbin &&
|
Chris@11
|
449 data[i] > data[i-1] &&
|
Chris@11
|
450 data[i] > data[i+1] &&
|
Chris@11
|
451 data[i] > maxval) {
|
Chris@11
|
452 maxval = data[i];
|
Chris@11
|
453 secondbin = i;
|
Chris@11
|
454 }
|
Chris@11
|
455 }
|
Chris@11
|
456 double spp = calculatePeakProportion(data, abstot, secondbin);
|
Chris@11
|
457 if (acceptPeak(secondbin, spp)) {
|
Chris@11
|
458 maxbin = secondbin;
|
Chris@11
|
459 pp = spp;
|
Chris@11
|
460 accepted = true;
|
Chris@11
|
461 }
|
Chris@8
|
462 }
|
Chris@11
|
463 if (accepted) {
|
Chris@11
|
464 m_prevpeak = maxbin;
|
Chris@11
|
465 m_prevprop = pp;
|
Chris@8
|
466 }
|
Chris@8
|
467 }
|
Chris@11
|
468
|
Chris@8
|
469 // std::cerr << "peakProportion = " << peakProportion << std::endl;
|
Chris@8
|
470 // std::cerr << "peak = " << m_inputSampleRate / (maxbin + m_binFrom) << std::endl;
|
Chris@9
|
471 // std::cerr << "bins = " << m_bins << std::endl;
|
Chris@8
|
472
|
Chris@11
|
473 // if (peakProportion >= (0.00006 * m_bins)) {
|
Chris@11
|
474 if (accepted) {
|
Chris@8
|
475 Feature f;
|
Chris@8
|
476 f.hasTimestamp = true;
|
Chris@8
|
477 f.timestamp = timestamp;
|
Chris@8
|
478 f.values.push_back(m_inputSampleRate / (maxbin + m_binFrom));
|
Chris@8
|
479 fs[0].push_back(f);
|
Chris@8
|
480 }
|
Chris@8
|
481
|
Chris@8
|
482 delete[] data;
|
Chris@8
|
483 return fs;
|
Chris@8
|
484 }
|
Chris@8
|
485
|
Chris@8
|
486 CepstrumPitchTracker::FeatureSet
|
Chris@8
|
487 CepstrumPitchTracker::getRemainingFeatures()
|
Chris@8
|
488 {
|
Chris@8
|
489 FeatureSet fs;
|
Chris@8
|
490 return fs;
|
Chris@8
|
491 }
|
Chris@8
|
492
|
Chris@8
|
493 void
|
Chris@8
|
494 CepstrumPitchTracker::fft(unsigned int n, bool inverse,
|
Chris@8
|
495 double *ri, double *ii, double *ro, double *io)
|
Chris@8
|
496 {
|
Chris@8
|
497 if (!ri || !ro || !io) return;
|
Chris@8
|
498
|
Chris@8
|
499 unsigned int bits;
|
Chris@8
|
500 unsigned int i, j, k, m;
|
Chris@8
|
501 unsigned int blockSize, blockEnd;
|
Chris@8
|
502
|
Chris@8
|
503 double tr, ti;
|
Chris@8
|
504
|
Chris@8
|
505 if (n < 2) return;
|
Chris@8
|
506 if (n & (n-1)) return;
|
Chris@8
|
507
|
Chris@8
|
508 double angle = 2.0 * M_PI;
|
Chris@8
|
509 if (inverse) angle = -angle;
|
Chris@8
|
510
|
Chris@8
|
511 for (i = 0; ; ++i) {
|
Chris@8
|
512 if (n & (1 << i)) {
|
Chris@8
|
513 bits = i;
|
Chris@8
|
514 break;
|
Chris@8
|
515 }
|
Chris@8
|
516 }
|
Chris@8
|
517
|
Chris@8
|
518 static unsigned int tableSize = 0;
|
Chris@8
|
519 static int *table = 0;
|
Chris@8
|
520
|
Chris@8
|
521 if (tableSize != n) {
|
Chris@8
|
522
|
Chris@8
|
523 delete[] table;
|
Chris@8
|
524
|
Chris@8
|
525 table = new int[n];
|
Chris@8
|
526
|
Chris@8
|
527 for (i = 0; i < n; ++i) {
|
Chris@8
|
528
|
Chris@8
|
529 m = i;
|
Chris@8
|
530
|
Chris@8
|
531 for (j = k = 0; j < bits; ++j) {
|
Chris@8
|
532 k = (k << 1) | (m & 1);
|
Chris@8
|
533 m >>= 1;
|
Chris@8
|
534 }
|
Chris@8
|
535
|
Chris@8
|
536 table[i] = k;
|
Chris@8
|
537 }
|
Chris@8
|
538
|
Chris@8
|
539 tableSize = n;
|
Chris@8
|
540 }
|
Chris@8
|
541
|
Chris@8
|
542 if (ii) {
|
Chris@8
|
543 for (i = 0; i < n; ++i) {
|
Chris@8
|
544 ro[table[i]] = ri[i];
|
Chris@8
|
545 io[table[i]] = ii[i];
|
Chris@8
|
546 }
|
Chris@8
|
547 } else {
|
Chris@8
|
548 for (i = 0; i < n; ++i) {
|
Chris@8
|
549 ro[table[i]] = ri[i];
|
Chris@8
|
550 io[table[i]] = 0.0;
|
Chris@8
|
551 }
|
Chris@8
|
552 }
|
Chris@8
|
553
|
Chris@8
|
554 blockEnd = 1;
|
Chris@8
|
555
|
Chris@8
|
556 for (blockSize = 2; blockSize <= n; blockSize <<= 1) {
|
Chris@8
|
557
|
Chris@8
|
558 double delta = angle / (double)blockSize;
|
Chris@8
|
559 double sm2 = -sin(-2 * delta);
|
Chris@8
|
560 double sm1 = -sin(-delta);
|
Chris@8
|
561 double cm2 = cos(-2 * delta);
|
Chris@8
|
562 double cm1 = cos(-delta);
|
Chris@8
|
563 double w = 2 * cm1;
|
Chris@8
|
564 double ar[3], ai[3];
|
Chris@8
|
565
|
Chris@8
|
566 for (i = 0; i < n; i += blockSize) {
|
Chris@8
|
567
|
Chris@8
|
568 ar[2] = cm2;
|
Chris@8
|
569 ar[1] = cm1;
|
Chris@8
|
570
|
Chris@8
|
571 ai[2] = sm2;
|
Chris@8
|
572 ai[1] = sm1;
|
Chris@8
|
573
|
Chris@8
|
574 for (j = i, m = 0; m < blockEnd; j++, m++) {
|
Chris@8
|
575
|
Chris@8
|
576 ar[0] = w * ar[1] - ar[2];
|
Chris@8
|
577 ar[2] = ar[1];
|
Chris@8
|
578 ar[1] = ar[0];
|
Chris@8
|
579
|
Chris@8
|
580 ai[0] = w * ai[1] - ai[2];
|
Chris@8
|
581 ai[2] = ai[1];
|
Chris@8
|
582 ai[1] = ai[0];
|
Chris@8
|
583
|
Chris@8
|
584 k = j + blockEnd;
|
Chris@8
|
585 tr = ar[0] * ro[k] - ai[0] * io[k];
|
Chris@8
|
586 ti = ar[0] * io[k] + ai[0] * ro[k];
|
Chris@8
|
587
|
Chris@8
|
588 ro[k] = ro[j] - tr;
|
Chris@8
|
589 io[k] = io[j] - ti;
|
Chris@8
|
590
|
Chris@8
|
591 ro[j] += tr;
|
Chris@8
|
592 io[j] += ti;
|
Chris@8
|
593 }
|
Chris@8
|
594 }
|
Chris@8
|
595
|
Chris@8
|
596 blockEnd = blockSize;
|
Chris@8
|
597 }
|
Chris@8
|
598 }
|
Chris@8
|
599
|
Chris@8
|
600
|