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1 /* -*- c-basic-offset: 4 indent-tabs-mode: nil -*- vi:set ts=8 sts=4 sw=4: */
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2
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3 /*
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4 Sonic Visualiser
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5 An audio file viewer and annotation editor.
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6 Centre for Digital Music, Queen Mary, University of London.
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7 This file copyright 2006 QMUL.
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8
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9 This program is free software; you can redistribute it and/or
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10 modify it under the terms of the GNU General Public License as
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11 published by the Free Software Foundation; either version 2 of the
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12 License, or (at your option) any later version. See the file
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13 COPYING included with this distribution for more information.
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14 */
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15
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16 #include "RangeMapper.h"
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17 #include "system/System.h"
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18
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19 #include <cassert>
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20 #include <cmath>
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21
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22 #include <iostream>
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23
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24 LinearRangeMapper::LinearRangeMapper(int minpos, int maxpos,
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25 double minval, double maxval,
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26 QString unit, bool inverted) :
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27 m_minpos(minpos),
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28 m_maxpos(maxpos),
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29 m_minval(minval),
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30 m_maxval(maxval),
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31 m_unit(unit),
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32 m_inverted(inverted)
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33 {
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34 assert(m_maxval != m_minval);
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35 assert(m_maxpos != m_minpos);
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36 }
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37
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38 int
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39 LinearRangeMapper::getPositionForValue(double value) const
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40 {
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41 int position = getPositionForValueUnclamped(value);
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42 if (position < m_minpos) position = m_minpos;
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43 if (position > m_maxpos) position = m_maxpos;
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44 return position;
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45 }
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46
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47 int
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48 LinearRangeMapper::getPositionForValueUnclamped(double value) const
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49 {
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50 int position = m_minpos +
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51 int(lrint(((value - m_minval) / (m_maxval - m_minval))
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52 * (m_maxpos - m_minpos)));
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53 if (m_inverted) return m_maxpos - (position - m_minpos);
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54 else return position;
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55 }
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56
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57 double
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58 LinearRangeMapper::getValueForPosition(int position) const
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59 {
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60 if (position < m_minpos) position = m_minpos;
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61 if (position > m_maxpos) position = m_maxpos;
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62 double value = getValueForPositionUnclamped(position);
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63 return value;
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64 }
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65
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66 double
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67 LinearRangeMapper::getValueForPositionUnclamped(int position) const
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68 {
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69 if (m_inverted) position = m_maxpos - (position - m_minpos);
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70 double value = m_minval +
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71 ((double(position - m_minpos) / double(m_maxpos - m_minpos))
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72 * (m_maxval - m_minval));
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73 cerr << "getValueForPositionUnclamped(" << position << "): minval " << m_minval << ", maxval " << m_maxval << ", value " << value << endl;
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74 return value;
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75 }
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76
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77 LogRangeMapper::LogRangeMapper(int minpos, int maxpos,
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78 double minval, double maxval,
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79 QString unit, bool inverted) :
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80 m_minpos(minpos),
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81 m_maxpos(maxpos),
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82 m_unit(unit),
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83 m_inverted(inverted)
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84 {
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85 convertMinMax(minpos, maxpos, minval, maxval, m_minlog, m_ratio);
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86
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87 // cerr << "LogRangeMapper: minpos " << minpos << ", maxpos "
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88 // << maxpos << ", minval " << minval << ", maxval "
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89 // << maxval << ", minlog " << m_minlog << ", ratio " << m_ratio
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90 // << ", unit " << unit << endl;
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91
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92 assert(m_maxpos != m_minpos);
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93
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94 m_maxlog = (m_maxpos - m_minpos) / m_ratio + m_minlog;
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95
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96 // cerr << "LogRangeMapper: maxlog = " << m_maxlog << endl;
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97 }
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98
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99 void
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100 LogRangeMapper::convertMinMax(int minpos, int maxpos,
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101 double minval, double maxval,
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102 double &minlog, double &ratio)
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103 {
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104 static double thresh = powf(10, -10);
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105 if (minval < thresh) minval = thresh;
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106 minlog = log10(minval);
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107 ratio = (maxpos - minpos) / (log10(maxval) - minlog);
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108 }
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109
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110 void
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111 LogRangeMapper::convertRatioMinLog(double ratio, double minlog,
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112 int minpos, int maxpos,
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113 double &minval, double &maxval)
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114 {
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115 minval = pow(10, minlog);
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116 maxval = pow(10, (maxpos - minpos) / ratio + minlog);
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117 }
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118
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119 int
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120 LogRangeMapper::getPositionForValue(double value) const
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121 {
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122 int position = getPositionForValueUnclamped(value);
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123 if (position < m_minpos) position = m_minpos;
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124 if (position > m_maxpos) position = m_maxpos;
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125 return position;
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126 }
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127
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128 int
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129 LogRangeMapper::getPositionForValueUnclamped(double value) const
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130 {
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131 static double thresh = pow(10, -10);
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132 if (value < thresh) value = thresh;
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133 int position = int(lrint((log10(value) - m_minlog) * m_ratio)) + m_minpos;
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134 if (m_inverted) return m_maxpos - (position - m_minpos);
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135 else return position;
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136 }
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137
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138 double
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139 LogRangeMapper::getValueForPosition(int position) const
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140 {
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141 if (position < m_minpos) position = m_minpos;
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142 if (position > m_maxpos) position = m_maxpos;
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143 double value = getValueForPositionUnclamped(position);
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144 return value;
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145 }
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146
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147 double
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148 LogRangeMapper::getValueForPositionUnclamped(int position) const
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149 {
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150 if (m_inverted) position = m_maxpos - (position - m_minpos);
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151 double value = pow(10, (position - m_minpos) / m_ratio + m_minlog);
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152 return value;
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153 }
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154
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155 InterpolatingRangeMapper::InterpolatingRangeMapper(CoordMap pointMappings,
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156 QString unit) :
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157 m_mappings(pointMappings),
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158 m_unit(unit)
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159 {
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160 for (CoordMap::const_iterator i = m_mappings.begin();
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161 i != m_mappings.end(); ++i) {
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162 m_reverse[i->second] = i->first;
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163 }
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164 }
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165
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166 int
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167 InterpolatingRangeMapper::getPositionForValue(double value) const
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168 {
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169 int pos = getPositionForValueUnclamped(value);
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170 CoordMap::const_iterator i = m_mappings.begin();
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171 if (pos < i->second) pos = i->second;
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172 i = m_mappings.end(); --i;
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173 if (pos > i->second) pos = i->second;
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174 return pos;
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175 }
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176
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177 int
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178 InterpolatingRangeMapper::getPositionForValueUnclamped(double value) const
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179 {
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180 double p = interpolate(&m_mappings, value);
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181 return int(lrint(p));
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182 }
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183
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184 double
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185 InterpolatingRangeMapper::getValueForPosition(int position) const
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186 {
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187 double val = getValueForPositionUnclamped(position);
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188 CoordMap::const_iterator i = m_mappings.begin();
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189 if (val < i->first) val = i->first;
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190 i = m_mappings.end(); --i;
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191 if (val > i->first) val = i->first;
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192 return val;
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193 }
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194
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195 double
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196 InterpolatingRangeMapper::getValueForPositionUnclamped(int position) const
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197 {
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198 return interpolate(&m_reverse, position);
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199 }
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200
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201 template <typename T>
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202 double
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203 InterpolatingRangeMapper::interpolate(T *mapping, double value) const
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204 {
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205 // lower_bound: first element which does not compare less than value
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206 typename T::const_iterator i =
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207 mapping->lower_bound(typename T::key_type(value));
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208
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209 if (i == mapping->begin()) {
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210 // value is less than or equal to first element, so use the
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211 // gradient from first to second and extend it
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212 ++i;
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213 }
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214
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215 if (i == mapping->end()) {
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216 // value is off the end, so use the gradient from penultimate
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217 // to ultimate and extend it
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218 --i;
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219 }
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220
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221 typename T::const_iterator j = i;
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222 --j;
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223
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224 double gradient = double(i->second - j->second) / double(i->first - j->first);
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225
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226 return j->second + (value - j->first) * gradient;
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227 }
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228
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229 AutoRangeMapper::AutoRangeMapper(CoordMap pointMappings,
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230 QString unit) :
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231 m_mappings(pointMappings),
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232 m_unit(unit)
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233 {
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234 m_type = chooseMappingTypeFor(m_mappings);
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235
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236 CoordMap::const_iterator first = m_mappings.begin();
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237 CoordMap::const_iterator last = m_mappings.end();
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238 --last;
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239
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240 switch (m_type) {
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241 case StraightLine:
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242 m_mapper = new LinearRangeMapper(first->second, last->second,
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243 first->first, last->first,
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244 unit, false);
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245 break;
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246 case Logarithmic:
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247 m_mapper = new LogRangeMapper(first->second, last->second,
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248 first->first, last->first,
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249 unit, false);
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250 break;
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251 case Interpolating:
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252 m_mapper = new InterpolatingRangeMapper(m_mappings, unit);
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253 break;
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254 }
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255 }
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256
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257 AutoRangeMapper::~AutoRangeMapper()
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258 {
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259 delete m_mapper;
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260 }
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261
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262 AutoRangeMapper::MappingType
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263 AutoRangeMapper::chooseMappingTypeFor(const CoordMap &mappings)
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264 {
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265 // how do we work out whether a linear/log mapping is "close enough"?
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266
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267 CoordMap::const_iterator first = mappings.begin();
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268 CoordMap::const_iterator last = mappings.end();
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269 --last;
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270
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271 LinearRangeMapper linm(first->second, last->second,
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272 first->first, last->first,
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273 "", false);
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274
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275 bool inadequate = false;
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276
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277 for (CoordMap::const_iterator i = mappings.begin();
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278 i != mappings.end(); ++i) {
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279 int candidate = linm.getPositionForValue(i->first);
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280 int diff = candidate - i->second;
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281 if (diff < 0) diff = -diff;
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282 if (diff > 1) {
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283 // cerr << "AutoRangeMapper::chooseMappingTypeFor: diff = " << diff
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284 // << ", straight-line mapping inadequate" << endl;
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285 inadequate = true;
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286 break;
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287 }
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288 }
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289
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290 if (!inadequate) {
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291 return StraightLine;
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292 }
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293
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294 LogRangeMapper logm(first->second, last->second,
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295 first->first, last->first,
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296 "", false);
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297
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298 inadequate = false;
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299
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300 for (CoordMap::const_iterator i = mappings.begin();
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301 i != mappings.end(); ++i) {
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302 int candidate = logm.getPositionForValue(i->first);
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303 int diff = candidate - i->second;
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304 if (diff < 0) diff = -diff;
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305 if (diff > 1) {
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306 // cerr << "AutoRangeMapper::chooseMappingTypeFor: diff = " << diff
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307 // << ", log mapping inadequate" << endl;
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308 inadequate = true;
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309 break;
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310 }
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311 }
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312
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313 if (!inadequate) {
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314 return Logarithmic;
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315 }
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316
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317 return Interpolating;
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318 }
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319
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320 int
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321 AutoRangeMapper::getPositionForValue(double value) const
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322 {
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323 return m_mapper->getPositionForValue(value);
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324 }
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325
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326 double
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327 AutoRangeMapper::getValueForPosition(int position) const
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328 {
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329 return m_mapper->getValueForPosition(position);
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330 }
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331
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332 int
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333 AutoRangeMapper::getPositionForValueUnclamped(double value) const
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Chris@885
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334 {
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335 return m_mapper->getPositionForValueUnclamped(value);
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336 }
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337
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338 double
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339 AutoRangeMapper::getValueForPositionUnclamped(int position) const
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340 {
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341 return m_mapper->getValueForPositionUnclamped(position);
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342 }
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