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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 QM DSP Library
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5
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6 Centre for Digital Music, Queen Mary, University of London.
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7 This file copyright 2005-2006 Christian Landone.
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8 All rights reserved.
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9 */
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10
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11 #include "MathUtilities.h"
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12
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13 #include <iostream>
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14 #include <cmath>
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15
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16
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17 double MathUtilities::mod(double x, double y)
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18 {
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19 double a = floor( x / y );
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20
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21 double b = x - ( y * a );
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22 return b;
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23 }
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24
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25 double MathUtilities::princarg(double ang)
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26 {
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27 double ValOut;
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28
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29 ValOut = mod( ang + M_PI, -2 * M_PI ) + M_PI;
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30
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31 return ValOut;
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32 }
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33
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34 void MathUtilities::getAlphaNorm(const double *data, unsigned int len, unsigned int alpha, double* ANorm)
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35 {
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36 unsigned int i;
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37 double temp = 0.0;
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38 double a=0.0;
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39
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40 for( i = 0; i < len; i++)
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41 {
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42 temp = data[ i ];
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43
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44 a += ::pow( fabs(temp), alpha );
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45 }
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46 a /= ( double )len;
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47 a = ::pow( a, ( 1.0 / (double) alpha ) );
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48
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49 *ANorm = a;
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50 }
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51
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52 double MathUtilities::getAlphaNorm( const std::vector <double> &data, unsigned int alpha )
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53 {
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54 unsigned int i;
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55 unsigned int len = data.size();
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56 double temp = 0.0;
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57 double a=0.0;
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58
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59 for( i = 0; i < len; i++)
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60 {
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61 temp = data[ i ];
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62
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63 a += ::pow( fabs(temp), alpha );
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64 }
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65 a /= ( double )len;
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66 a = ::pow( a, ( 1.0 / (double) alpha ) );
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67
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68 return a;
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69 }
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70
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71 double MathUtilities::round(double x)
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72 {
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73 double val = (double)floor(x + 0.5);
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74
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75 return val;
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76 }
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77
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78 double MathUtilities::median(const double *src, unsigned int len)
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79 {
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80 unsigned int i, j;
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81 double tmp = 0.0;
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82 double tempMedian;
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83 double medianVal;
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84
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85 double* scratch = new double[ len ];//Vector < double > sortedX = Vector < double > ( size );
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86
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87 for ( i = 0; i < len; i++ )
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88 {
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89 scratch[i] = src[i];
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90 }
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91
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92 for ( i = 0; i < len - 1; i++ )
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93 {
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94 for ( j = 0; j < len - 1 - i; j++ )
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95 {
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96 if ( scratch[j + 1] < scratch[j] )
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97 {
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98 // compare the two neighbors
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99 tmp = scratch[j]; // swap a[j] and a[j+1]
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100 scratch[j] = scratch[j + 1];
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101 scratch[j + 1] = tmp;
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102 }
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103 }
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104 }
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105 int middle;
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106 if ( len % 2 == 0 )
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107 {
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108 middle = len / 2;
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109 tempMedian = ( scratch[middle] + scratch[middle - 1] ) / 2;
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110 }
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111 else
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112 {
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113 middle = ( int )floor( len / 2.0 );
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114 tempMedian = scratch[middle];
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115 }
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116
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117 medianVal = tempMedian;
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118
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119 delete [] scratch;
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120 return medianVal;
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121 }
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122
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123 double MathUtilities::sum(const double *src, unsigned int len)
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124 {
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125 unsigned int i ;
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126 double retVal =0.0;
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127
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128 for( i = 0; i < len; i++)
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129 {
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130 retVal += src[ i ];
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131 }
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132
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133 return retVal;
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134 }
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135
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136 double MathUtilities::mean(const double *src, unsigned int len)
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137 {
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138 double retVal =0.0;
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139
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140 double s = sum( src, len );
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141
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142 retVal = s / (double)len;
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143
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144 return retVal;
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145 }
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146
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147 void MathUtilities::getFrameMinMax(const double *data, unsigned int len, double *min, double *max)
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148 {
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149 unsigned int i;
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150 double temp = 0.0;
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151 double a=0.0;
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152
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153 *min = data[0];
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154 *max = data[0];
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155
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156 for( i = 0; i < len; i++)
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157 {
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158 temp = data[ i ];
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159
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160 if( temp < *min )
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161 {
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162 *min = temp ;
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163 }
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164 if( temp > *max )
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165 {
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166 *max = temp ;
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167 }
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168
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169 }
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170 }
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171
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172 int MathUtilities::getMax( double* pData, unsigned int Length, double* pMax )
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173 {
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174 unsigned int index = 0;
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175 unsigned int i;
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176 double temp = 0.0;
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177
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178 double max = pData[0];
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179
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180 for( i = 0; i < Length; i++)
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181 {
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182 temp = pData[ i ];
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183
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184 if( temp > max )
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185 {
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186 max = temp ;
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187 index = i;
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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 *pMax = max;
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193
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194
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195 return index;
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196 }
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197
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198 void MathUtilities::circShift( double* pData, int length, int shift)
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199 {
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200 shift = shift % length;
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201 double temp;
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202 int i,n;
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203
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204 for( i = 0; i < shift; i++)
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205 {
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206 temp=*(pData + length - 1);
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207
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208 for( n = length-2; n >= 0; n--)
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209 {
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210 *(pData+n+1)=*(pData+n);
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211 }
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212
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213 *pData = temp;
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214 }
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215 }
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216
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217 int MathUtilities::compareInt (const void * a, const void * b)
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218 {
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219 return ( *(int*)a - *(int*)b );
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220 }
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221
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222 void MathUtilities::normalise(double *data, int length, NormaliseType type)
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223 {
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224 switch (type) {
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225
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226 case NormaliseNone: return;
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227
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228 case NormaliseUnitSum:
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229 {
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230 double sum = 0.0;
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231 for (int i = 0; i < length; ++i) {
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232 sum += data[i];
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233 }
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234 if (sum != 0.0) {
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235 for (int i = 0; i < length; ++i) {
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236 data[i] /= sum;
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237 }
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238 }
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239 }
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240 break;
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241
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242 case NormaliseUnitMax:
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243 {
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244 double max = 0.0;
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245 for (int i = 0; i < length; ++i) {
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246 if (fabs(data[i]) > max) {
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247 max = fabs(data[i]);
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248 }
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249 }
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250 if (max != 0.0) {
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251 for (int i = 0; i < length; ++i) {
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252 data[i] /= max;
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253 }
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254 }
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255 }
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256 break;
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257
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258 }
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259 }
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260
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261 void MathUtilities::normalise(std::vector<double> &data, NormaliseType type)
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262 {
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263 switch (type) {
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264
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265 case NormaliseNone: return;
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266
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267 case NormaliseUnitSum:
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268 {
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269 double sum = 0.0;
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270 for (int i = 0; i < data.size(); ++i) sum += data[i];
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271 if (sum != 0.0) {
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272 for (int i = 0; i < data.size(); ++i) data[i] /= sum;
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273 }
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274 }
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275 break;
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276
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277 case NormaliseUnitMax:
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278 {
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279 double max = 0.0;
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280 for (int i = 0; i < data.size(); ++i) {
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281 if (fabs(data[i]) > max) max = fabs(data[i]);
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282 }
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283 if (max != 0.0) {
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284 for (int i = 0; i < data.size(); ++i) data[i] /= max;
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285 }
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286 }
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287 break;
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288
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289 }
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290 }
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291
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292
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293
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