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1 /* -*- c-basic-offset: 4 -*- vi:set ts=8 sts=4 sw=4: */
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2
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3 /*
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4 A waveform viewer and audio annotation editor.
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5 Chris Cannam, Queen Mary University of London, 2005-2006
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6
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7 This is experimental software. Not for distribution.
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8 */
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9
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10 /*
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11 This is a modified version of a source file from the
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12 Rosegarden MIDI and audio sequencer and notation editor.
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13 This file copyright 2000-2005 Chris Cannam.
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14 */
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15
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16 #include "base/AudioLevel.h"
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17 #include <cmath>
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18 #include <iostream>
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19 #include <map>
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20 #include <vector>
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21 #include <cassert>
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22
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23 const float AudioLevel::DB_FLOOR = -1000.0;
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24
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25 struct FaderDescription
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26 {
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27 FaderDescription(float _minDb, float _maxDb, float _zeroPoint) :
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28 minDb(_minDb), maxDb(_maxDb), zeroPoint(_zeroPoint) { }
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29
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30 float minDb;
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31 float maxDb;
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32 float zeroPoint; // as fraction of total throw
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33 };
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34
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35 static const FaderDescription faderTypes[] = {
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36 FaderDescription(-40.0, +6.0, 0.75), // short
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37 FaderDescription(-70.0, +10.0, 0.80), // long
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38 FaderDescription(-70.0, 0.0, 1.00), // IEC268
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39 FaderDescription(-70.0, +10.0, 0.80), // IEC268 long
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40 FaderDescription(-40.0, 0.0, 1.00), // preview
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41 };
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42
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43 typedef std::vector<float> LevelList;
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44 static std::map<int, LevelList> previewLevelCache;
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45 static const LevelList &getPreviewLevelCache(int levels);
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46
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47 float
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48 AudioLevel::multiplier_to_dB(float multiplier)
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49 {
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50 if (multiplier == 0.0) return DB_FLOOR;
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51 float dB = 10 * log10f(multiplier);
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52 return dB;
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53 }
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54
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55 float
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56 AudioLevel::dB_to_multiplier(float dB)
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57 {
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58 if (dB == DB_FLOOR) return 0.0;
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59 float m = powf(10.0, dB / 10.0);
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60 return m;
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61 }
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62
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63 /* IEC 60-268-18 fader levels. Thanks to Steve Harris. */
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64
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65 static float iec_dB_to_fader(float db)
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66 {
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67 float def = 0.0f; // Meter deflection %age
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68
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69 if (db < -70.0f) {
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70 def = 0.0f;
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71 } else if (db < -60.0f) {
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72 def = (db + 70.0f) * 0.25f;
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73 } else if (db < -50.0f) {
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74 def = (db + 60.0f) * 0.5f + 5.0f;
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75 } else if (db < -40.0f) {
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76 def = (db + 50.0f) * 0.75f + 7.5f;
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77 } else if (db < -30.0f) {
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78 def = (db + 40.0f) * 1.5f + 15.0f;
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79 } else if (db < -20.0f) {
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80 def = (db + 30.0f) * 2.0f + 30.0f;
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81 } else {
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82 def = (db + 20.0f) * 2.5f + 50.0f;
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83 }
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84
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85 return def;
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86 }
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87
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88 static float iec_fader_to_dB(float def) // Meter deflection %age
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89 {
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90 float db = 0.0f;
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91
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92 if (def >= 50.0f) {
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93 db = (def - 50.0f) / 2.5f - 20.0f;
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94 } else if (def >= 30.0f) {
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95 db = (def - 30.0f) / 2.0f - 30.0f;
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96 } else if (def >= 15.0f) {
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97 db = (def - 15.0f) / 1.5f - 40.0f;
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98 } else if (def >= 7.5f) {
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99 db = (def - 7.5f) / 0.75f - 50.0f;
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100 } else if (def >= 5.0f) {
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101 db = (def - 5.0f) / 0.5f - 60.0f;
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102 } else {
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103 db = (def / 0.25f) - 70.0f;
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104 }
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105
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106 return db;
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107 }
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108
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109 float
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110 AudioLevel::fader_to_dB(int level, int maxLevel, FaderType type)
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111 {
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112 if (level == 0) return DB_FLOOR;
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113
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114 if (type == IEC268Meter || type == IEC268LongMeter) {
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115
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116 float maxPercent = iec_dB_to_fader(faderTypes[type].maxDb);
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117 float percent = float(level) * maxPercent / float(maxLevel);
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118 float dB = iec_fader_to_dB(percent);
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119 return dB;
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120
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121 } else { // scale proportional to sqrt(fabs(dB))
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122
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123 int zeroLevel = int(maxLevel * faderTypes[type].zeroPoint);
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124
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125 if (level >= zeroLevel) {
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126
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127 float value = level - zeroLevel;
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128 float scale = float(maxLevel - zeroLevel) /
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129 sqrtf(faderTypes[type].maxDb);
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130 value /= scale;
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131 float dB = powf(value, 2.0);
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132 return dB;
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133
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134 } else {
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135
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136 float value = zeroLevel - level;
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137 float scale = zeroLevel / sqrtf(0.0 - faderTypes[type].minDb);
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138 value /= scale;
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139 float dB = powf(value, 2.0);
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140 return 0.0 - dB;
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141 }
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142 }
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143 }
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144
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145
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146 int
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147 AudioLevel::dB_to_fader(float dB, int maxLevel, FaderType type)
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148 {
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149 if (dB == DB_FLOOR) return 0;
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150
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151 if (type == IEC268Meter || type == IEC268LongMeter) {
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152
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153 // The IEC scale gives a "percentage travel" for a given dB
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154 // level, but it reaches 100% at 0dB. So we want to treat the
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155 // result not as a percentage, but as a scale between 0 and
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156 // whatever the "percentage" for our (possibly >0dB) max dB is.
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157
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158 float maxPercent = iec_dB_to_fader(faderTypes[type].maxDb);
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159 float percent = iec_dB_to_fader(dB);
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160 int faderLevel = int((maxLevel * percent) / maxPercent + 0.01);
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161
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162 if (faderLevel < 0) faderLevel = 0;
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163 if (faderLevel > maxLevel) faderLevel = maxLevel;
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164 return faderLevel;
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165
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166 } else {
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167
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168 int zeroLevel = int(maxLevel * faderTypes[type].zeroPoint);
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169
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170 if (dB >= 0.0) {
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171
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172 float value = sqrtf(dB);
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173 float scale = (maxLevel - zeroLevel) / sqrtf(faderTypes[type].maxDb);
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174 value *= scale;
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175 int level = int(value + 0.01) + zeroLevel;
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176 if (level > maxLevel) level = maxLevel;
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177 return level;
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178
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179 } else {
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180
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181 dB = 0.0 - dB;
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182 float value = sqrtf(dB);
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183 float scale = zeroLevel / sqrtf(0.0 - faderTypes[type].minDb);
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184 value *= scale;
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185 int level = zeroLevel - int(value + 0.01);
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186 if (level < 0) level = 0;
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187 return level;
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188 }
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189 }
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190 }
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191
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192
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193 float
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194 AudioLevel::fader_to_multiplier(int level, int maxLevel, FaderType type)
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195 {
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196 if (level == 0) return 0.0;
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197 return dB_to_multiplier(fader_to_dB(level, maxLevel, type));
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198 }
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199
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200 int
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201 AudioLevel::multiplier_to_fader(float multiplier, int maxLevel, FaderType type)
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202 {
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203 if (multiplier == 0.0) return 0;
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204 float dB = multiplier_to_dB(multiplier);
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205 int fader = dB_to_fader(dB, maxLevel, type);
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206 return fader;
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207 }
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208
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209
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210 const LevelList &
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211 getPreviewLevelCache(int levels)
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212 {
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213 LevelList &ll = previewLevelCache[levels];
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214 if (ll.empty()) {
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215 for (int i = 0; i <= levels; ++i) {
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216 float m = AudioLevel::fader_to_multiplier
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217 (i + levels/4, levels + levels/4, AudioLevel::PreviewLevel);
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218 if (levels == 1) m /= 100; // noise
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219 ll.push_back(m);
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220 }
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221 }
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222 return ll;
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223 }
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224
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225 int
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226 AudioLevel::multiplier_to_preview(float m, int levels)
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227 {
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228 assert(levels > 0);
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229 if (m < 0.0) return -multiplier_to_preview(-m, levels);
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230
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231 const LevelList &ll = getPreviewLevelCache(levels);
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232 int result = -1;
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233
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234 int lo = 0, hi = levels;
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235
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236 // binary search
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237 int level = -1;
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238 while (result < 0) {
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239 int newlevel = (lo + hi) / 2;
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240 if (newlevel == level ||
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241 newlevel == 0 ||
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242 newlevel == levels) {
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243 result = newlevel;
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244 break;
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245 }
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246 level = newlevel;
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247 if (ll[level] >= m) {
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248 hi = level;
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249 } else if (ll[level+1] >= m) {
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250 result = level;
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251 } else {
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252 lo = level;
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253 }
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254 }
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255
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256 return result;
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257 }
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258
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259 float
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260 AudioLevel::preview_to_multiplier(int level, int levels)
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261 {
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262 assert(levels > 0);
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263 if (level < 0) return -preview_to_multiplier(-level, levels);
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264 const LevelList &ll = getPreviewLevelCache(levels);
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265 return ll[level];
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266 }
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267
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268
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