1 | #include <iostream> |
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2 | #include <algorithm> |
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3 | #include <math.h> |
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4 | #include <Utils/utils.hh> |
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5 | |
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6 | template <class T> T absval(T value) |
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7 | { |
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8 | /** |
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9 | * Type-independent way of getting the absolute value. |
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10 | */ |
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11 | if( value > 0) return value; |
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12 | else return 0-value; |
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13 | } |
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14 | template int absval<int>(int value); |
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15 | template long absval<long>(long value); |
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16 | template float absval<float>(float value); |
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17 | template double absval<double>(double value); |
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18 | //-------------------------------------------------------------------- |
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19 | |
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20 | template <class T> void findMinMax(const T *array, const int size, |
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21 | T &min, T &max) |
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22 | { |
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23 | /** |
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24 | * A function to find the minimum and maximum values of a set of numbers. |
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25 | * \param array The array of data values. Type independent. |
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26 | * \param size The length of the array |
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27 | * \param min The returned value of the minimum value in the array. |
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28 | * \param max The returned value of the maximum value in the array. |
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29 | */ |
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30 | min = max = array[0]; |
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31 | for(int i=1;i<size;i++) { |
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32 | if(array[i]<min) min=array[i]; |
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33 | if(array[i]>max) max=array[i]; |
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34 | } |
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35 | } |
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36 | template void findMinMax<int>(const int *array, const int size, |
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37 | int &min, int &max); |
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38 | template void findMinMax<long>(const long *array, const int size, |
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39 | long &min, long &max); |
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40 | template void findMinMax<float>(const float *array, const int size, |
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41 | float &min, float &max); |
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42 | template void findMinMax<double>(const double *array, const int size, |
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43 | double &min, double &max); |
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44 | //-------------------------------------------------------------------- |
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45 | |
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46 | template <class T> float findMean(T *array, int size) |
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47 | { |
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48 | /** |
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49 | * Find the mean of an array of numbers. Type independent. |
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50 | * \param array The array of numbers. |
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51 | * \param size The length of the array. |
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52 | * \return The mean value of the array, returned as a float |
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53 | */ |
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54 | float mean = array[0]; |
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55 | for(int i=1;i<size;i++) mean += array[i]; |
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56 | mean /= float(size); |
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57 | return mean; |
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58 | } |
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59 | template float findMean<int>(int *array, int size); |
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60 | template float findMean<long>(long *array, int size); |
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61 | template float findMean<float>(float *array, int size); |
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62 | template float findMean<double>(double *array, int size); |
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63 | //-------------------------------------------------------------------- |
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64 | |
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65 | template <class T> float findStddev(T *array, int size) |
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66 | { |
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67 | /** |
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68 | * Find the rms or standard deviation of an array of numbers. Type independent. |
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69 | * \param array The array of numbers. |
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70 | * \param size The length of the array. |
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71 | * \return The rms value of the array, returned as a float |
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72 | */ |
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73 | float mean = findMean(array,size); |
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74 | float stddev = (array[0]-mean) * (array[0]-mean); |
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75 | for(int i=1;i<size;i++) stddev += (array[i]-mean)*(array[i]-mean); |
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76 | stddev = sqrt(stddev/float(size-1)); |
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77 | return stddev; |
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78 | } |
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79 | template float findStddev<int>(int *array, int size); |
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80 | template float findStddev<long>(long *array, int size); |
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81 | template float findStddev<float>(float *array, int size); |
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82 | template float findStddev<double>(double *array, int size); |
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83 | //-------------------------------------------------------------------- |
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84 | |
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85 | template <class T> T findMedian(T *array, int size) |
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86 | { |
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87 | /** |
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88 | * Find the median value of an array of numbers. Type independent. |
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89 | * \param array The array of numbers. |
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90 | * \param size The length of the array. |
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91 | * \return The median value of the array, returned as the same type as the array. |
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92 | */ |
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93 | T *newarray = new T[size]; |
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94 | T median; |
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95 | for(int i=0;i<size;i++) newarray[i] = array[i]; |
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96 | std::sort(newarray,newarray+size); |
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97 | if((size%2)==0) median = (newarray[size/2-1]+newarray[size/2])/2; |
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98 | else median = newarray[size/2]; |
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99 | delete [] newarray; |
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100 | return median; |
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101 | } |
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102 | template int findMedian<int>(int *array, int size); |
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103 | template long findMedian<long>(long *array, int size); |
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104 | template float findMedian<float>(float *array, int size); |
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105 | template double findMedian<double>(double *array, int size); |
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106 | //-------------------------------------------------------------------- |
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107 | |
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108 | template <class T> T findMADFM(T *array, int size) |
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109 | { |
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110 | /** |
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111 | * Find the median absolute deviation from the median value of an |
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112 | * array of numbers. Type independent. |
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113 | * |
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114 | * \param array The array of numbers. |
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115 | * \param size The length of the array. |
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116 | * \return The median absolute deviation from the median value of |
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117 | * the array, returned as the same type as the array. |
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118 | */ |
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119 | T *newarray = new T[size]; |
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120 | T median = findMedian<T>(array,size); |
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121 | T madfm; |
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122 | for(int i=0;i<size;i++) newarray[i] = absval(array[i]-median); |
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123 | std::sort(newarray,newarray+size); |
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124 | if((size%2)==0) madfm = (newarray[size/2-1]+newarray[size/2])/2; |
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125 | else madfm = newarray[size/2]; |
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126 | delete [] newarray; |
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127 | return madfm; |
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128 | } |
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129 | template int findMADFM<int>(int *array, int size); |
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130 | template long findMADFM<long>(long *array, int size); |
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131 | template float findMADFM<float>(float *array, int size); |
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132 | template double findMADFM<double>(double *array, int size); |
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133 | //-------------------------------------------------------------------- |
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134 | |
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135 | template <class T> void findMedianStats(T *array, int size, |
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136 | T &median, T &madfm) |
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137 | { |
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138 | /** |
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139 | * Find the median and the median absolute deviation from the median |
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140 | * value of an array of numbers. Type independent. |
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141 | * |
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142 | * \param array The array of numbers. |
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143 | * \param size The length of the array. |
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144 | * \param median The median value of the array, returned as the same type as the array. |
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145 | * \param madfm The median absolute deviation from the median value of |
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146 | * the array, returned as the same type as the array. |
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147 | */ |
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148 | if(size==0){ |
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149 | std::cerr << "Error in findMedianStats: zero sized array!\n"; |
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150 | return; |
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151 | } |
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152 | T *newarray = new T[size]; |
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153 | |
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154 | for(int i=0;i<size;i++) newarray[i] = array[i]; |
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155 | std::sort(newarray,newarray+size); |
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156 | if((size%2)==0) median = (newarray[size/2-1]+newarray[size/2])/2; |
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157 | else median = newarray[size/2]; |
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158 | |
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159 | for(int i=0;i<size;i++) newarray[i] = absval(array[i]-median); |
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160 | std::sort(newarray,newarray+size); |
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161 | if((size%2)==0) madfm = (newarray[size/2-1]+newarray[size/2])/2; |
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162 | else madfm = newarray[size/2]; |
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163 | |
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164 | delete [] newarray; |
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165 | } |
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166 | template void findMedianStats<int>(int *array, int size, |
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167 | int &median, int &madfm); |
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168 | template void findMedianStats<long>(long *array, int size, |
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169 | long &median, long &madfm); |
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170 | template void findMedianStats<float>(float *array, int size, |
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171 | float &median, float &madfm); |
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172 | template void findMedianStats<double>(double *array, int size, |
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173 | double &median, double &madfm); |
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174 | //-------------------------------------------------------------------- |
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175 | |
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176 | template <class T> void findMedianStats(T *array, int size, bool *isGood, |
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177 | T &median, T &madfm) |
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178 | { |
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179 | /** |
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180 | * Find the median and the median absolute deviation from the median |
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181 | * value of a subset of an array of numbers. The subset is defined |
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182 | * by an array of bool variables. Type independent. |
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183 | * |
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184 | * \param array The array of numbers. |
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185 | * \param size The length of the array. |
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186 | * \param isGood An array of the same length that says whether to |
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187 | * include each member of the array in the calculations. |
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188 | * \param median The median value of the array, returned as the same type as the array. |
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189 | * \param madfm The median absolute deviation from the median value of |
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190 | * the array, returned as the same type as the array. |
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191 | */ |
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192 | int goodSize=0; |
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193 | for(int i=0;i<size;i++) if(isGood[i]) goodSize++; |
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194 | if(goodSize==0){ |
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195 | std::cerr << "Error in findMedianStats: no good values!\n"; |
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196 | return; |
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197 | } |
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198 | T *newarray = new T[goodSize]; |
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199 | for(int i=0;i<size;i++) if(isGood[i]) newarray[goodSize++] = array[i]; |
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200 | std::sort(newarray,newarray+goodSize); |
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201 | if((goodSize%2)==0) |
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202 | median = (newarray[goodSize/2-1]+newarray[goodSize/2])/2; |
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203 | else |
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204 | median = newarray[goodSize/2]; |
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205 | |
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206 | for(int i=0;i<goodSize;i++) newarray[i] = absval(newarray[i]-median); |
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207 | std::sort(newarray,newarray+goodSize); |
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208 | if((goodSize%2)==0) |
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209 | madfm = (newarray[goodSize/2-1]+newarray[goodSize/2])/2; |
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210 | else |
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211 | madfm = newarray[goodSize/2]; |
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212 | |
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213 | delete [] newarray; |
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214 | } |
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215 | template void findMedianStats<int>(int *array, int size, bool *isGood, |
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216 | int &median, int &madfm); |
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217 | template void findMedianStats<long>(long *array, int size, bool *isGood, |
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218 | long &median, long &madfm); |
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219 | template void findMedianStats<float>(float *array, int size, bool *isGood, |
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220 | float &median, float &madfm); |
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221 | template void findMedianStats<double>(double *array, int size, bool *isGood, |
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222 | double &median, double &madfm); |
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223 | //-------------------------------------------------------------------- |
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224 | |
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225 | |
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226 | template <class T> void findNormalStats(T *array, int size, |
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227 | float &mean, float &stddev) |
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228 | { |
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229 | /** |
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230 | * Find the mean and rms or standard deviation of an array of numbers. Type independent. |
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231 | * |
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232 | * \param array The array of numbers. |
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233 | * \param size The length of the array. |
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234 | * \param mean The mean value of the array, returned as a float. |
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235 | * \param stddev The rms or standard deviation of the array, returned as a float. |
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236 | */ |
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237 | if(size==0){ |
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238 | std::cerr << "Error in findNormalStats: zero sized array!\n"; |
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239 | return; |
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240 | } |
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241 | mean = array[0]; |
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242 | for(int i=1;i<size;i++){ |
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243 | mean += array[i]; |
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244 | } |
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245 | mean /= float(size); |
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246 | |
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247 | stddev = (array[0]-mean) * (array[0]-mean); |
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248 | for(int i=1;i<size;i++){ |
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249 | float sqdiff = (array[i]-mean)*(array[i]-mean); |
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250 | stddev += sqdiff; |
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251 | } |
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252 | stddev = sqrt(stddev/float(size-1)); |
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253 | |
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254 | } |
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255 | template void findNormalStats<int>(int *array, int size, |
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256 | float &mean, float &stddev); |
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257 | template void findNormalStats<long>(long *array, int size, |
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258 | float &mean, float &stddev); |
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259 | template void findNormalStats<float>(float *array, int size, |
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260 | float &mean, float &stddev); |
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261 | template void findNormalStats<double>(double *array, int size, |
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262 | float &mean, float &stddev); |
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263 | //-------------------------------------------------------------------- |
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264 | |
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265 | template <class T> void findNormalStats(T *array, int size, bool *isGood, |
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266 | float &mean, float &stddev) |
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267 | { |
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268 | /** |
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269 | * Find the mean and rms or standard deviation of a subset of an |
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270 | * array of numbers. The subset is defined by an array of bool |
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271 | * variables. Type independent. |
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272 | * |
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273 | * \param array The array of numbers. |
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274 | * \param size The length of the array. |
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275 | * \param isGood An array of the same length that says whether to |
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276 | * include each member of the array in the calculations. |
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277 | * \param mean The mean value of the array, returned as a float. |
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278 | * \param stddev The rms or standard deviation of the array, returned as a float. |
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279 | */ |
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280 | int goodSize=0; |
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281 | for(int i=0;i<size;i++) if(isGood[i]) goodSize++; |
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282 | if(goodSize==0){ |
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283 | std::cerr << "Error in findNormalStats: no good values!\n"; |
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284 | return; |
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285 | } |
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286 | int start=0; |
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287 | while(!isGood[start]){start++;} |
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288 | mean = array[start]; |
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289 | for(int i=start+1;i<size;i++){ |
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290 | if(isGood[i]) mean += array[i]; |
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291 | } |
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292 | mean /= float(goodSize); |
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293 | |
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294 | stddev = (array[start]-mean) * (array[start]-mean); |
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295 | for(int i=1;i<size;i++){ |
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296 | if(isGood[i]) stddev += (array[i]-mean)*(array[i]-mean); |
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297 | } |
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298 | stddev = sqrt(stddev/float(goodSize-1)); |
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299 | |
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300 | } |
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301 | template void findNormalStats<int>(int *array, int size, bool *isGood, |
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302 | float &mean, float &stddev); |
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303 | template void findNormalStats<long>(long *array, int size, bool *isGood, |
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304 | float &mean, float &stddev); |
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305 | template void findNormalStats<float>(float *array, int size, bool *isGood, |
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306 | float &mean, float &stddev); |
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307 | template void findNormalStats<double>(double *array, int size, bool *isGood, |
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308 | float &mean, float &stddev); |
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309 | //-------------------------------------------------------------------- |
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