1 | // This file is a part of Framsticks SDK. http://www.framsticks.com/ |
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2 | // Copyright (C) 1999-2021 Maciej Komosinski and Szymon Ulatowski. |
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3 | // See LICENSE.txt for details. |
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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 | |
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8 | int NI_FuzzyNeuro::countOuts(const Model *m, const Neuro *fuzzy) |
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9 | { |
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10 | int outputs = 0; |
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11 | for (int i = 0; i < m->getNeuroCount(); i++) |
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12 | for (int in = 0; in < m->getNeuro(i)->getInputCount(); in++) |
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13 | if (m->getNeuro(i)->getInput(in) == fuzzy) outputs++; |
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14 | return outputs; |
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15 | } |
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16 | |
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17 | int NI_FuzzyNeuro::lateinit() |
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18 | { |
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19 | int i, maxOutputNr; |
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20 | |
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21 | //check correctness of given parameters: string must not be null, sets&rules number > 0 |
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22 | if ((fuzzySetsNr < 1) || (rulesNr < 1) || (fuzzySetString.length() == 0) || (fuzzyRulesString.length() == 0)) |
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23 | return 0; //error |
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24 | |
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25 | // this part contains transformation of fuzzy sets |
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26 | fuzzySets = new double[4 * fuzzySetsNr]; //because every fuzzy set consist of 4 numbers |
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27 | // converts fuzzy string from f0 to table of fuzzy numbers type 'double' |
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28 | // (fill created space with numbers taken from string) |
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29 | // also checks whether number of fuzzy sets in the string equals declared in the definition |
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30 | if (FuzzyF0String::convertStrToSets(fuzzySetString, fuzzySets, fuzzySetsNr) != 0) |
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31 | return 0; //error |
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32 | |
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33 | // this part contains transformation of fuzzy rules and defuzzyfication parameters |
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34 | rulesDef = new int[2 * rulesNr]; //for each rule remembers number of inputs and outputs |
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35 | //check correctness of string and fill in the rulesDef |
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36 | if (FuzzyF0String::countInputsOutputs(fuzzyRulesString.c_str(), rulesDef, rulesNr) == 0) |
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37 | { |
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38 | defuzzParam = new double[rulesNr]; // parameters used in defuzyfication process |
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39 | // create space for rules according to rulesDef |
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40 | rules = new int*[rulesNr]; //list of rules... |
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41 | for (i = 0; i < rulesNr; i++) //...that contains rules body |
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42 | { |
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43 | 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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44 | defuzzParam[i] = 0; //should be done a little bit earlier, but why do not use this loop? |
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45 | } |
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46 | // fill created space with numbers taken from string |
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47 | if (FuzzyF0String::convertStrToRules(fuzzyRulesString, rulesDef, rules, fuzzySetsNr, rulesNr, maxOutputNr) != 0) |
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48 | return 0; //error |
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49 | } |
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50 | else |
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51 | return 0; //error |
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52 | |
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53 | setChannelCount(countOuts(neuro->owner, neuro)); |
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54 | return 1; //success |
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55 | } |
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56 | |
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57 | NI_FuzzyNeuro::~NI_FuzzyNeuro() |
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58 | { |
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59 | if (rules) //delete rows and columns of **rules |
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60 | { |
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61 | for (int i = 0; i < rulesNr; i++) SAFEDELETEARRAY(rules[i]) |
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62 | SAFEDELETEARRAY(rules) |
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63 | } |
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64 | SAFEDELETEARRAY(defuzzParam) |
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65 | SAFEDELETEARRAY(rulesDef) |
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66 | SAFEDELETEARRAY(fuzzySets) |
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67 | } |
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68 | |
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69 | int NI_FuzzyNeuro::GetFuzzySetParam(int set_nr, double &left, double &midleft, double &midright, double &right) |
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70 | { |
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71 | if ((set_nr >= 0) && (set_nr < fuzzySetsNr)) |
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72 | { |
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73 | left = fuzzySets[4 * set_nr]; |
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74 | midleft = fuzzySets[4 * set_nr + 1]; |
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75 | midright = fuzzySets[4 * set_nr + 2]; |
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76 | right = fuzzySets[4 * set_nr + 3]; |
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77 | return 0; |
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78 | } |
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79 | else |
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80 | return 1; |
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81 | } |
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82 | |
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83 | /** Function conduct fuzzyfication of inputs and calculates - according to rules - crisp multi-channel output */ |
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84 | void NI_FuzzyNeuro::go() |
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85 | { |
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86 | if (Fuzzyfication() != 0) |
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87 | return; |
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88 | if (Defuzzyfication() != 0) |
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89 | return; |
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90 | } |
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91 | |
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92 | /** |
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93 | * Function conduct fuzzyfication process - calculates minimum membership function (of every input) for each rule, |
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94 | * and writes results into defuzzParam - variable that contains data necessary for defuzzyfication |
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95 | */ |
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96 | int NI_FuzzyNeuro::Fuzzyfication() |
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97 | { |
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98 | int i, j, nrIn, inputNr, nrFuzzySet; |
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99 | double minimumCut; // actual minimal level of cut (= min. membership function) |
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100 | |
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101 | // sets defuzzyfication parameters for each rule: |
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102 | for (i = 0; i < rulesNr; i++) |
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103 | { |
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104 | nrIn = rulesDef[2 * i]; // nr of inputs in rule #i |
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105 | minimumCut = 2; // the highest value of membership function is 1.0, so this value will definitely change |
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106 | for (j = 0; (j < nrIn) && (minimumCut > 0); j++) //minimumCut can not be <0, so if =0 then stop calculations |
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107 | { |
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108 | nrFuzzySet = rules[i][j * 2 + 1]; // j*2 moves pointer through each output, +1 moves to nr of fuzzy set |
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109 | inputNr = rules[i][j * 2]; // as above but gives input number |
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110 | minimumCut = std::min(minimumCut, TrapeziumFuzz(nrFuzzySet, getWeightedInputState(inputNr))); // value of membership function for this input and given fuzzy set |
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111 | } |
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112 | if ((minimumCut > 1) || (minimumCut < 0)) |
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113 | return 1; |
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114 | defuzzParam[i] = minimumCut; |
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115 | } |
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116 | return 0; |
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117 | } |
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118 | |
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119 | /** |
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120 | * 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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121 | * In other words, this function fuzzyficates given crisp value with given fuzzy set, returning it's membership function |
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122 | * @param which_fuzzy_set - 0 < number of set < fuzzySetsNr |
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123 | * @param input_val - crisp value of input in range <-1; 1> |
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124 | * @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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125 | */ |
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126 | double NI_FuzzyNeuro::TrapeziumFuzz(int which_fuzzy_set, double input_val) |
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127 | { |
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128 | double range = 0, left = 0, midleft = 0, midright = 0, right = 0; |
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129 | |
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130 | if ((which_fuzzy_set < 0) || (which_fuzzy_set > fuzzySetsNr)) |
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131 | return -2; |
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132 | if ((input_val < -1) || (input_val > 1)) |
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133 | return -3; |
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134 | |
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135 | if (GetFuzzySetParam(which_fuzzy_set, left, midleft, midright, right) != 0) |
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136 | return -4; |
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137 | |
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138 | if ((input_val < left) || (input_val > right)) // greather than right value |
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139 | return 0; |
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140 | else if ((input_val >= midleft) && (input_val <= midright)) // in the core of fuzzy set |
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141 | return 1; |
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142 | else if ((input_val >= left) && (input_val < midleft)) // at the left side of trapezium |
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143 | { |
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144 | range = fabs(midleft - left); |
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145 | 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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146 | } |
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147 | else if ((input_val > midright) && (input_val <= right)) // at the right side of trapezium |
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148 | { |
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149 | range = fabs(right - midright); |
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150 | 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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151 | }; |
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152 | |
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153 | // should not occur |
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154 | return 0; |
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155 | |
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156 | } |
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157 | |
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158 | /** |
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159 | * Function conducts defuzzyfication process: multi-channel output values are calculates with singleton method (method of high). |
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160 | * 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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161 | * For all neuro pseudo-outputs, answer is calculated according to prior computations. |
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162 | * In fact, there is one output with multi-channel answer and appropriate values are given to right channels. |
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163 | */ |
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164 | int NI_FuzzyNeuro::Defuzzyfication() |
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165 | { |
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166 | int i, j, nrIn, nrOut, out, set, outputsNr; |
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167 | double *numerators, *denominators, midleft, midright, unimp; |
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168 | |
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169 | outputsNr = getChannelCount(); |
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170 | |
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171 | numerators = new double[outputsNr]; |
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172 | denominators = new double[outputsNr]; |
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173 | |
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174 | for (i = 0; i < outputsNr; i++) numerators[i] = denominators[i] = 0; |
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175 | |
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176 | // for each rule... |
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177 | for (i = 0; i < rulesNr; i++) |
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178 | { |
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179 | nrIn = rulesDef[2 * i]; // number of inputs in rule #i |
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180 | nrOut = rulesDef[2 * i + 1]; // number of outputs in rule #i |
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181 | // ...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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182 | for (j = 0; j < nrOut; j++) |
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183 | { |
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184 | out = rules[i][2 * nrIn + 2 * j]; //number of j-output |
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185 | set = rules[i][2 * nrIn + 2 * j + 1]; //number of fuzzy set attributed to j-output |
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186 | if (GetFuzzySetParam(set, unimp, midleft, midright, unimp) != 0) // gets range of core of given fuzzy set |
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187 | { |
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188 | SAFEDELETEARRAY(denominators) SAFEDELETEARRAY(numerators) return 1; |
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189 | } |
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190 | //defuzzParam[i] = minimum membership function for rule #i - calculated in fuzzyfication block |
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191 | // defuzzyfication method of singletons (high): (fuzzy set modal value) * (minimum membership value) |
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192 | numerators[out] += ((midleft + midright) / 2.0) * defuzzParam[i]; |
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193 | denominators[out] += defuzzParam[i]; |
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194 | } |
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195 | } |
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196 | |
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197 | for (i = 0; i < outputsNr; i++) |
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198 | { |
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199 | if (denominators[i] == 0) |
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200 | setState(0, i); |
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201 | else |
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202 | setState(numerators[i] / denominators[i], i); |
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203 | } |
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204 | |
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205 | SAFEDELETEARRAY(denominators) |
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206 | SAFEDELETEARRAY(numerators) |
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207 | |
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208 | return 0; |
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209 | } |
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