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                """Self-adaptive differential evolution algorithm.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                Date: 7. 2. 2018  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                Authors : Uros Mlakar  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                License: MIT  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                Reference paper: Brest, J., Greiner, S., Boskovic, B., Mernik, M., Zumer, V. Self-adapting control   | 
            
                            
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                parameters in differential evolution: A comparative study on numerical benchmark problems.   | 
            
                            
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                IEEE transactions on evolutionary computation, 10(6), 646-657, 2006.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                TODO  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                import random as rnd  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                import copy  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                __all__ = ['SelfAdaptiveDifferentialEvolutionAlgorithm']  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                View Code Duplication | 
                class SolutionjDE(object):  | 
            
                            
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                    def __init__(self, D, LB, UB):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.D = D  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.LB = LB  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.UB = UB  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.F = 0.5  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.Cr = 0.9  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.Solution = []  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.Fitness = float('inf') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.generateSolution()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def generateSolution(self):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.Solution = [self.LB + (self.UB - self.LB) * rnd.random()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                         for _i in range(self.D)]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def evaluate(self):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.Fitness = SolutionjDE.FuncEval(self.D, self.Solution)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def repair(self):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        for i in range(self.D):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            if self.Solution[i] > self.UB:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                self.Solution[i] = self.UB  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            if self.Solution[i] < self.LB:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                self.Solution[i] = self.LB  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def __eq__(self, other):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        return self.Solution == other.Solution and self.Fitness == other.Fitness  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                class SelfAdaptiveDifferentialEvolutionAlgorithm(object):  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
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                    # pylint: disable=too-many-instance-attributes  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    def __init__(self, D, NP, nFES, F, Cr, Lower, Upper, function):  | 
            
                            
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                        self.D = D  # dimension of problem  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        self.Np = NP  # population size  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        self.nFES = nFES  # number of function evaluations  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        self.Lower = Lower  # lower bound  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        self.Upper = Upper  # upper bound  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        SolutionjDE.FuncEval = staticmethod(function)  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        self.Population = []  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        self.bestSolution = SolutionjDE(self.D, Lower, Upper)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def evalPopulation(self):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        for p in self.Population:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            p.evaluate()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            if p.Fitness < self.bestSolution.Fitness:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                self.bestSolution = copy.deepcopy(p)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def initPopulation(self):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        for _i in range(self.Np):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            self.Population.append(SolutionjDE(self.D, self.Lower, self.Upper))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def generationStep(self, Population):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        newPopulation = []  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        for i in range(self.Np):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            newSolution = SolutionjDE(self.D, self.Lower, self.Upper)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            if rnd.random() < self.Tao:  | 
            
                            
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                                newSolution.F = rnd.random()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                newSolution.F = Population[i].F  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            if rnd.random() < self.Tao:  | 
            
                            
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                                newSolution.Cr = rnd.random()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                newSolution.Cr = Population[i].Cr  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            r = rnd.sample(range(0, self.Np), 3)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            while i in r:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                r = rnd.sample(range(0, self.Np), 3)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            jrand = int(rnd.random() * self.Np)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            for j in range(self.D):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                if rnd.random() < self.Cr or j == jrand:  | 
            
                            
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                                    newSolution.Solution[j] = Population[r[0]].Solution[j] + self.F * (  | 
            
                            
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                                        Population[r[1]].Solution[j] - Population[r[2]].Solution[j])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                    newSolution.Solution[j] = Population[i].Solution[j]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            newSolution.repair()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            newSolution.evaluate()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            if newSolution.Fitness < self.bestSolution.Fitness:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                self.bestSolution = copy.deepcopy(newSolution)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            if newSolution.Fitness < self.Population[i].Fitness:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                newPopulation.append(newSolution)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                newPopulation.append(Population[i])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        return newPopulation  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def run(self):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.initPopulation()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.evalPopulation()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        FEs = self.Np  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        while FEs <= self.nFES:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            self.Population = self.generationStep(self.Population)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            FEs += self.Np  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
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                        return self.bestSolution.Fitness  | 
            
            
                                                        
            
                                    
            
            
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