1 | // This file is a part of the Framsticks GDK. |
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2 | // Copyright (C) 2002-2014 Maciej Komosinski and Szymon Ulatowski. See LICENSE.txt for details. |
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3 | // Refer to http://www.framsticks.com/ for further information. |
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4 | |
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5 | #include "neuroimpl-fuzzy.h" |
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6 | #include "neuroimpl-fuzzy-f0.h" |
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7 | #include <common/nonstd_stl.h> //min,max |
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8 | |
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9 | int NI_FuzzyNeuro::countOuts(const Model *m, const Neuro *fuzzy) |
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10 | { |
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11 | int outputs=0; |
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12 | for(int i=0;i<m->getNeuroCount();i++) |
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13 | for(int in=0;in<m->getNeuro(i)->getInputCount();in++) |
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14 | if (m->getNeuro(i)->getInput(in)==fuzzy) outputs++; |
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15 | return outputs; |
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16 | } |
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17 | |
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18 | int NI_FuzzyNeuro::lateinit() |
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19 | { |
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20 | int i, maxOutputNr; |
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21 | |
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22 | //check correctness of given parameters: string must not be null, sets&rules number > 0 |
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23 | if((fuzzySetsNr<1)||(rulesNr<1)||(fuzzySetString.len()==0)||(fuzzyRulesString.len()==0)) |
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24 | return 0; //error |
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25 | |
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26 | // this part contains transformation of fuzzy sets |
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27 | fuzzySets = new double[4*fuzzySetsNr]; //because every fuzzy set consist of 4 numbers |
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28 | // converts fuzzy string from f0 to table of fuzzy numbers type 'double' |
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29 | // (fill created space with numbers taken from string) |
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30 | // also checks whether number of fuzzy sets in the string equals declared in the definition |
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31 | if (FuzzyF0String::convertStrToSets(fuzzySetString, fuzzySets, fuzzySetsNr) != 0) |
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32 | return 0; //error |
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33 | |
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34 | // this part contains transformation of fuzzy rules and defuzzyfication parameters |
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35 | rulesDef = new int[2*rulesNr]; //for each rule remembers number of inputs and outputs |
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36 | //check correctness of string and fill in the rulesDef |
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37 | if (FuzzyF0String::countInputsOutputs(fuzzyRulesString, rulesDef, rulesNr) == 0) |
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38 | { |
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39 | defuzzParam = new double[rulesNr]; // parameters used in defuzyfication process |
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40 | // create space for rules according to rulesDef |
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41 | rules = new int*[rulesNr]; //list of rules... |
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42 | for (i=0; i<rulesNr; i++) //...that contains rules body |
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43 | { |
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44 | rules[i] = new int[2*(rulesDef[2*i]+rulesDef[2*i+1])]; //each rule can have different number of inputs and outputs |
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45 | defuzzParam[i] = 0; //should be done a little bit earlier, but why do not use this loop? |
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46 | } |
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47 | // fill created space with numbers taken from string |
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48 | if (FuzzyF0String::convertStrToRules(fuzzyRulesString, rulesDef, rules, fuzzySetsNr, rulesNr, maxOutputNr) != 0) |
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49 | return 0; //error |
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50 | } |
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51 | else |
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52 | return 0; //error |
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53 | |
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54 | setChannelCount(countOuts(neuro->owner, neuro)); |
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55 | return 1; //success |
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56 | } |
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57 | |
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58 | NI_FuzzyNeuro::~NI_FuzzyNeuro() |
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59 | { |
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60 | if(rules) //delete rows and columns of **rules |
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61 | { |
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62 | for (int i=0; i<rulesNr; i++) SAFEDELETEARRAY(rules[i]) |
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63 | SAFEDELETEARRAY(rules) |
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64 | } |
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65 | SAFEDELETEARRAY(defuzzParam) |
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66 | SAFEDELETEARRAY(rulesDef) |
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67 | SAFEDELETEARRAY(fuzzySets) |
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68 | } |
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69 | |
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70 | int NI_FuzzyNeuro::GetFuzzySetParam(int set_nr, double &left, double &midleft, double &midright, double &right) |
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71 | { |
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72 | if ( (set_nr>=0) && (set_nr<fuzzySetsNr) ) |
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73 | { |
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74 | left = fuzzySets[4*set_nr]; |
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75 | midleft = fuzzySets[4*set_nr+1]; |
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76 | midright = fuzzySets[4*set_nr+2]; |
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77 | right = fuzzySets[4*set_nr+3]; |
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78 | return 0; |
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79 | } |
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80 | else |
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81 | return 1; |
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82 | } |
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83 | |
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84 | /** Function conduct fuzzyfication of inputs and calculates - according to rules - crisp multi-channel output */ |
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85 | void NI_FuzzyNeuro::go() |
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86 | { |
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87 | if (Fuzzyfication()!=0) |
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88 | return; |
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89 | if (Defuzzyfication()!=0) |
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90 | return; |
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91 | } |
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92 | |
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93 | /** |
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94 | * Function conduct fuzzyfication process - calculates minimum membership function (of every input) for each rule, |
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95 | * and writes results into defuzzParam - variable that contains data necessary for defuzzyfication |
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96 | */ |
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97 | int NI_FuzzyNeuro::Fuzzyfication() |
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98 | { |
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99 | int i, j, nrIn, inputNr, nrFuzzySet; |
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100 | double minimumCut; // actual minimal level of cut (= min. membership function) |
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101 | |
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102 | // sets defuzzyfication parameters for each rule: |
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103 | for (i=0; i<rulesNr; i++) |
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104 | { |
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105 | nrIn = rulesDef[2*i]; // nr of inputs in rule #i |
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106 | minimumCut = 2; // the highest value of membership function is 1.0, so this value will definitely change |
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107 | for (j=0; (j<nrIn)&&(minimumCut>0); j++) //minimumCut can not be <0, so if =0 then stop calculations |
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108 | { |
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109 | nrFuzzySet = rules[i][j*2 + 1]; // j*2 moves pointer through each output, +1 moves to nr of fuzzy set |
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110 | inputNr = rules[i][j*2]; // as above but gives input number |
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111 | minimumCut = min( minimumCut, TrapeziumFuzz(nrFuzzySet, getWeightedInputState(inputNr))); // value of membership function for this input and given fuzzy set |
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112 | } |
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113 | if ( (minimumCut>1) || (minimumCut<0) ) |
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114 | return 1; |
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115 | defuzzParam[i] = minimumCut; |
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116 | } |
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117 | return 0; |
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118 | } |
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119 | |
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120 | /** |
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121 | * Function calculates value of the membership function of the set given by wchich_fuzzy_set for given crisp value input_val |
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122 | * In other words, this function fuzzyficates given crisp value with given fuzzy set, returning it's membership function |
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123 | * @param which_fuzzy_set - 0 < number of set < fuzzySetsNr |
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124 | * @param input_val - crisp value of input in range <-1; 1> |
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125 | * @return value of membership function (of given input for given set) in range <0;1> or, if error occur, negative value |
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126 | */ |
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127 | double NI_FuzzyNeuro::TrapeziumFuzz(int which_fuzzy_set, double input_val) |
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128 | { |
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129 | double range=0, left=0, midleft=0, midright=0, right=0; |
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130 | |
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131 | if ( (which_fuzzy_set < 0) || (which_fuzzy_set > fuzzySetsNr) ) |
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132 | return -2; |
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133 | if ( (input_val < -1) || (input_val > 1) ) |
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134 | return -3; |
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135 | |
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136 | if (GetFuzzySetParam(which_fuzzy_set, left, midleft, midright, right) != 0) |
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137 | return -4; |
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138 | |
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139 | if ( (input_val < left) || (input_val > right) ) // greather than right value |
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140 | return 0; |
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141 | else if ( (input_val >= midleft) && (input_val <= midright) ) // in the core of fuzzy set |
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142 | return 1; |
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143 | else if ( (input_val >= left) && (input_val < midleft) ) // at the left side of trapezium |
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144 | { |
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145 | range = fabs(midleft - left); |
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146 | return fabs(input_val-left)/((range>0)?range:1); // quotient of distance between input and extreme left point of trapezium and range of rising side, or 1 |
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147 | } |
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148 | else if ( (input_val > midright) && (input_val <= right) ) // at the right side of trapezium |
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149 | { |
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150 | range = fabs(right - midright); |
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151 | return fabs(right-input_val)/((range>0)?range:1); // quotient of distance between input and extreme right point of trapezium and range of falling side, or 1 |
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152 | }; |
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153 | |
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154 | // should not occur |
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155 | return 0; |
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156 | |
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157 | } |
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158 | |
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159 | /** |
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160 | * Function conducts defuzzyfication process: multi-channel output values are calculates with singleton method (method of high). |
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161 | * For each rules, all outputs fuzzy sets are taken and cut at 'cut-level', that is at minumum membership function (of current rule). |
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162 | * For all neuro pseudo-outputs, answer is calculated according to prior computations. |
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163 | * In fact, there is one output with multi-channel answer and appropriate values are given to right channels. |
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164 | */ |
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165 | int NI_FuzzyNeuro::Defuzzyfication() |
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166 | { |
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167 | int i, j, nrIn, nrOut, out, set, outputsNr; |
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168 | double *numerators, *denominators, midleft, midright, unimp; |
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169 | |
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170 | outputsNr = getChannelCount(); |
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171 | |
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172 | numerators = new double[outputsNr]; |
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173 | denominators = new double[outputsNr]; |
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174 | |
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175 | for(i=0;i<outputsNr;i++) numerators[i] = denominators[i] = 0; |
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176 | |
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177 | // for each rule... |
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178 | for (i=0; i<rulesNr; i++) |
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179 | { |
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180 | nrIn = rulesDef[2*i]; // number of inputs in rule #i |
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181 | nrOut = rulesDef[2*i + 1]; // number of outputs in rule #i |
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182 | // ...calculate each output's product of middle fuzzy set value and minimum membership function (numerator) and sum of minimum membership function (denominator) |
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183 | for (j=0; j<nrOut; j++) |
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184 | { |
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185 | out = rules[i][2*nrIn + 2*j]; //number of j-output |
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186 | set = rules[i][2*nrIn + 2*j + 1]; //number of fuzzy set attributed to j-output |
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187 | if (GetFuzzySetParam(set, unimp, midleft, midright, unimp) != 0) // gets range of core of given fuzzy set |
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188 | { SAFEDELETEARRAY(denominators) SAFEDELETEARRAY(numerators) return 1; } |
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189 | //defuzzParam[i] = minimum membership function for rule #i - calculated in fuzzyfication block |
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190 | // defuzzyfication method of singletons (high): (fuzzy set modal value) * (minimum membership value) |
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191 | numerators[out] += ((midleft + midright)/2.0) * defuzzParam[i]; |
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192 | denominators[out] += defuzzParam[i]; |
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193 | } |
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194 | } |
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195 | |
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196 | for (i=0; i<outputsNr; i++) |
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197 | { |
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198 | if (denominators[i] == 0) |
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199 | setState(0, i); |
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200 | else |
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201 | setState(numerators[i]/denominators[i], i); |
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202 | } |
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203 | |
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204 | SAFEDELETEARRAY(denominators) |
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205 | SAFEDELETEARRAY(numerators) |
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206 | |
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207 | return 0; |
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208 | } |
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209 | |
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