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<script type="text/javascript" src="https://www.gstatic.com/charts/loader.js"></script> |
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<script |
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src="https://code.jquery.com/jquery-3.3.1.slim.min.js" |
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integrity="sha256-3edrmyuQ0w65f8gfBsqowzjJe2iM6n0nKciPUp8y+7E=" |
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crossorigin="anonymous"> |
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</script> |
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<script> |
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class Gene |
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{ |
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/** |
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* Constructs a new Gene to store in a chromosome. |
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* @param min minimum value that this gene can store |
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* @param max value this gene can possibly be |
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* @param value normalized value |
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*/ |
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constructor(min, max, value) |
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{ |
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this.min = min; |
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this.max = max; |
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this.value = value; |
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} |
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/** |
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* De-normalizes the value of the gene |
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* @returns {*} |
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*/ |
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getRealValue() |
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{ |
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return (this.max - this.min) * this.value + this.min; |
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} |
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getValue() |
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{ |
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return this.value; |
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} |
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setValue(val) |
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{ |
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this.value = val; |
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} |
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makeClone() |
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{ |
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return new Gene(this.min, this.max, this.value); |
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} |
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makeRandomGene() |
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{ |
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return new Gene(this.min, this.max, Math.random()); |
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} |
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} |
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class Chromosome |
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{ |
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/** |
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* Constructs a chromosome by making a copy of |
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* a list of genes. |
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* @param geneArray |
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*/ |
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constructor(geneArray) |
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{ |
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this.genes = []; |
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for(let i = 0; i < geneArray.length; i++) |
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{ |
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this.genes.push(geneArray[i].makeClone()); |
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} |
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} |
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getGenes() |
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{ |
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return this.genes; |
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} |
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/** |
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* Mutates a random gene. |
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*/ |
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mutate() |
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{ |
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this.genes[Math.round(Math.random() * (this.genes.length-1))].setValue(Math.random()); |
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} |
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/** |
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* Creates a totally new chromosome with same |
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* genetic structure as this chromosome but different |
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* values. |
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* @returns {Chromosome} |
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*/ |
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createRandomChromosome() |
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{ |
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let geneAr = []; |
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for(let i = 0; i < this.genes.length; i++) |
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{ |
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geneAr.push(this.genes[i].makeRandomGene()); |
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} |
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return new Chromosome(geneAr); |
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} |
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} |
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/** |
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* Mates two chromosomes using the blending method |
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* and returns a list of 2 offspring. |
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* @param father |
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* @param mother |
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* @returns {Chromosome[]} |
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*/ |
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const breed = function(father, mother) |
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{ |
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let son = new Chromosome(father.getGenes()); |
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let daughter = new Chromosome(mother.getGenes()); |
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for(let i = 0;i < son.getGenes().length; i++) |
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{ |
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let blendCoef = Math.random(); |
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blendGene(son.getGenes()[i], daughter.getGenes()[i], blendCoef); |
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} |
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return [son, daughter]; |
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}; |
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/** |
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* Blends two genes together based on a random blend |
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* coefficient. |
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**/ |
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const blendGene = function(gene1, gene2, blendCoef) |
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{ |
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let value1 = (blendCoef * gene1.getValue()) + |
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(gene2.getValue() * (1- blendCoef)); |
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let value2 = ((1-blendCoef) * gene1.getValue()) + |
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(gene2.getValue() * blendCoef); |
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gene1.setValue(value1); |
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gene2.setValue(value2); |
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}; |
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/** |
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* Helper function to sort an array |
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* |
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* @param prop name of JSON property to sort by |
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* @returns {function(*, *): number} |
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*/ |
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function predicateBy(prop) |
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{ |
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return function(a,b) |
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{ |
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var result; |
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if(a[prop] > b[prop]) |
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{ |
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result = 1; |
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} |
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else if(a[prop] < b[prop]) |
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{ |
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result = -1; |
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} |
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return result; |
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} |
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} |
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/** |
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* Function which computes the fitness of everyone in the |
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* population and returns the most fit survivors. Method |
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* known as elitism. |
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* |
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* @param population |
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* @param keepNumber |
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* @param fitnessFunction |
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* @returns {{average: number, |
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* survivors: Array, bestFit: Chromosome }} |
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*/ |
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const naturalSelection = function(population, keepNumber, fitnessFunction) |
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{ |
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let fitnessArray = []; |
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let total = 0; |
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for(let i = 0; i < population.length; i++) |
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{ |
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const fitness = fitnessFunction(population[i]); |
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console.log(fitness); |
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fitnessArray.push({fit:fitness, chrom: population[i]}); |
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total+= fitness; |
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} |
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fitnessArray.sort(predicateBy("fit")); |
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let survivors = []; |
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let bestFitness = fitnessArray[0].fit; |
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let bestChromosome = fitnessArray[0].chrom; |
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for(let i = 0; i < keepNumber; i++) |
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{ |
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survivors.push(fitnessArray[i].chrom); |
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} |
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return {average: total/population.length, survivors: survivors, bestFit: bestFitness, bestChrom: bestChromosome}; |
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}; |
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/** |
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* Randomly everyone in the population |
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* |
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* @param population |
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* @param desiredPopulationSize |
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*/ |
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const matePopulation = function(population, desiredPopulationSize) |
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{ |
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const originalLength = population.length; |
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while(population.length < desiredPopulationSize) |
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{ |
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let index1 = Math.round(Math.random() * (originalLength-1)); |
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let index2 = Math.round(Math.random() * (originalLength-1)); |
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if(index1 !== index2) |
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{ |
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const babies = breed(population[index1], population[index2]); |
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population.push(babies[0]); |
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population.push(babies[1]); |
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} |
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} |
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}; |
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/** |
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* Randomly mutates the population |
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**/ |
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const mutatePopulation = function(population, mutatePercentage) |
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{ |
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if(population.length >= 2) |
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{ |
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let mutations = mutatePercentage * |
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population.length * |
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population[0].getGenes().length; |
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for(let i = 0; i < mutations; i++) |
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{ |
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population[i].mutate(); |
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} |
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} |
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else |
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{ |
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console.log("Error, population too small to mutate"); |
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} |
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}; |
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/** |
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* Introduces x random chromosomes to the population. |
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* @param population |
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* @param immigrationSize |
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*/ |
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const newBlood = function(population, immigrationSize) |
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{ |
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for(let i = 0; i < immigrationSize; i++) |
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{ |
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let geneticChromosome = population[0]; |
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population.push(geneticChromosome.createRandomChromosome()); |
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} |
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}; |
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let costx = Math.random() * 10; |
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let costy = Math.random() * 10; |
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/** Defines the cost as the "distance" to a 2-d point. |
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* @param chromosome |
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* @returns {number} |
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*/ |
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const basicCostFunction = function(chromosome) |
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{ |
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return Math.abs(chromosome.getGenes()[0].getRealValue() - costx) + |
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Math.abs(chromosome.getGenes()[1].getRealValue() - costy); |
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}; |
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/** |
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* Creates a totally random population based on a desired size |
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* and a prototypical chromosome. |
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* |
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* @param geneticChromosome |
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* @param populationSize |
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* @returns {Array} |
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*/ |
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const createRandomPopulation = function(geneticChromosome, populationSize) |
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{ |
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let population = []; |
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for(let i = 0; i < populationSize; i++) |
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{ |
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population.push(geneticChromosome.createRandomChromosome()); |
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} |
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return population; |
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}; |
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/** |
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* Runs the genetic algorithm by going through the processes of |
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* natural selection, mutation, mating, and immigrations. This |
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* process will continue until an adequately performing chromosome |
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* is found or a generation threshold is passed. |
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* |
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* @param geneticChromosome Prototypical chromosome: used so algo knows |
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* what the dna of the population looks like. |
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* @param costFunction Function which defines how bad a Chromosome is |
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* @param populationSize Desired population size for population |
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* @param maxGenerations Cut off level for number of generations to run |
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* @param desiredCost Sufficient cost to terminate program at |
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* @param mutationRate Number between [0,1] representing proportion of genes |
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* to mutate each generation |
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* @param keepNumber Number of Organisms which survive each generation |
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* @param newBloodNumber Number of random immigrants to introduce into |
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* the population each generation. |
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* @returns {*} |
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*/ |
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const runGeneticOptimization = function(geneticChromosome, costFunction, |
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populationSize, maxGenerations, |
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desiredCost, mutationRate, keepNumber, |
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newBloodNumber) |
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{ |
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let population = createRandomPopulation(geneticChromosome, populationSize); |
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let generation = 0; |
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let bestCost = Number.MAX_VALUE; |
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let bestChromosome = geneticChromosome; |
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do |
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{ |
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matePopulation(population, populationSize); |
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newBlood(population, newBloodNumber); |
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mutatePopulation(population, mutationRate); |
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let generationResult = naturalSelection(population, keepNumber, costFunction); |
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if(bestCost > generationResult.bestFit) |
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{ |
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bestChromosome = generationResult.bestChrom; |
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bestCost = generationResult.bestFit; |
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} |
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population = generationResult.survivors; |
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generation++; |
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console.log("Generation " + generation + " Best Cost: " + bestCost); |
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}while(generation < maxGenerations && bestCost > desiredCost); |
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return bestChromosome; |
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}; |
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/** |
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* Ugly globals used to keep track of population state for the graph. |
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*/ |
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let genericChromosomeG, costFunctionG, |
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populationSizeG, maxGenerationsG, |
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desiredCostG, mutationRateG, keepNumberG, |
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newBloodNumberG, populationG, generationG, |
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bestCostG = Number.MAX_VALUE, bestChromosomeG = genericChromosomeG; |
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const runGeneticOptimizationForGraph = function() |
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{ |
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let generationResult = naturalSelection(populationG, keepNumberG, costFunctionG); |
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stats.push([generationG, generationResult.bestFit, generationResult.average]); |
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if(bestCostG > generationResult.bestFit) |
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{ |
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bestChromosomeG = generationResult.bestChrom; |
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bestCostG = generationResult.bestFit; |
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} |
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populationG = generationResult.survivors; |
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generationG++; |
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console.log("Generation " + generationG + " Best Cost: " + bestCostG); |
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console.log(generationResult); |
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matePopulation(populationG, populationSizeG); |
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newBlood(populationG, newBloodNumberG); |
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mutatePopulation(populationG, mutationRateG); |
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createGraph(); |
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}; |
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let stats = []; |
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const createGraph = function() |
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{ |
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var dataPoints = []; |
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console.log(dataPoints); |
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var data = new google.visualization.DataTable(); |
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data.addColumn('number', 'Gene 1'); |
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data.addColumn('number', 'Gene 2'); |
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for(let i = 0; i < populationG.length; i++) |
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{ |
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data.addRow([populationG[i].getGenes()[0].getRealValue(), |
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populationG[i].getGenes()[1].getRealValue()]); |
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} |
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var options = { |
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title: 'Genetic Evolution On Two Genes Generation: ' + generationG, |
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hAxis: {title: 'Gene 1', minValue: 0, maxValue: 10}, |
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vAxis: {title: 'Gene 2', minValue: 0, maxValue: 10}, |
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}; |
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var chart = new google.visualization.ScatterChart(document.getElementById('chart_div')); |
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chart.draw(data, options); |
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//line chart stuff |
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var line_data = new google.visualization.DataTable(); |
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line_data.addColumn('number', 'Generation'); |
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line_data.addColumn('number', 'Best'); |
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line_data.addColumn('number', 'Average'); |
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line_data.addRows(stats); |
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console.log(stats); |
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var lineChartOptions = { |
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hAxis: { |
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title: 'Generation' |
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}, |
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vAxis: { |
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title: 'Cost' |
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}, |
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colors: ['#AB0D06', '#007329'] |
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}; |
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var chart = new google.visualization.LineChart(document.getElementById('line_chart')); |
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chart.draw(line_data, lineChartOptions); |
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}; |
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let gene1 = new Gene(1,10,10); |
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let gene2 = new Gene(1,10,0.4); |
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let geneList = [gene1, gene2]; |
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let exampleOrganism = new Chromosome(geneList); |
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genericChromosomeG = exampleOrganism; |
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costFunctionG = basicCostFunction; |
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populationSizeG = 100; |
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maxGenerationsG = 30; |
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desiredCostG = 0.00001; |
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mutationRateG = 0.3; |
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keepNumberG = 30; |
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newBloodNumberG = 10; |
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generationG = 0; |
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function verifyForm() |
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{ |
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if(Number($("#populationSize").val()) <= 1) |
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{ |
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alert("Population size must be greater than one."); |
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return false; |
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} |
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if(Number($("#mutationRate").val()) > 1 || |
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Number($("#mutationRate").val()) < 0) |
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{ |
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alert("Mutation rate must be between zero and one."); |
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return false; |
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} |
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if(Number($("#survivalSize").val()) < 0) |
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{ |
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|
alert("Survival size can't be less than one."); |
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return false; |
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} |
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if(Number($("#newBlood").val()) < 0) |
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{ |
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|
alert("New organisms can't be a negative number."); |
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return false; |
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} |
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|
|
return true; |
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|
} |
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|
|
function resetPopulation() |
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|
|
{ |
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|
|
if(verifyForm()) |
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{ |
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|
stats = []; |
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|
|
autoRunning = false; |
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|
|
$("#runAutoOptimizer").val("Auto Run"); |
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|
populationSizeG = $("#populationSize").val(); |
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|
mutationRateG = $("#mutationRate").val(); |
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|
keepNumberG = $("#survivalSize").val(); |
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|
newBloodNumberG = $("#newBlood").val(); |
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|
generationG = 0; |
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|
|
populationG = createRandomPopulation(genericChromosomeG, populationSizeG); |
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|
|
createGraph(); |
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|
} |
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|
|
} |
|
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|
|
populationG = createRandomPopulation(genericChromosomeG, populationSizeG); |
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|
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|
|
window.onload = function (){ |
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|
|
google.charts.load('current', {packages: ['corechart', 'line']}); |
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|
|
google.charts.load('current', {'packages':['corechart']}).then(function() |
|
|
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|
|
{ |
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|
|
createGraph(); |
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|
}) |
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|
|
}; |
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|
let autoRunning = false; |
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|
|
function runAutoOptimizer() |
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|
|
{ |
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|
|
if(autoRunning === true) |
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|
|
{ |
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|
|
runGeneticOptimizationForGraph(); |
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|
|
setTimeout(runAutoOptimizer, 1000); |
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|
|
} |
|
|
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|
|
} |
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|
|
function startStopAutoRun() |
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|
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|
|
{ |
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|
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|
|
autoRunning = !autoRunning; |
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|
|
if(autoRunning) |
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|
|
{ |
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|
|
$("#runAutoOptimizer").val("Stop Auto Run"); |
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|
|
} |
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|
else |
|
|
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|
|
{ |
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|
|
$("#runAutoOptimizer").val("Resume Auto Run"); |
|
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|
|
} |
|
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|
|
runAutoOptimizer(); |
|
|
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|
|
} |
|
|
|
|
|
</script> |
|
|
|
|
|
<div id="chart_div"></div> |
|
|
|
|
|
<div id="line_chart"></div> |
|
|
|
|
|
<input class='btn btn-primary' id="runOptimizer" onclick='runGeneticOptimizationForGraph()' type="button" value="Next Generation"> |
|
|
|
|
|
<input class='btn btn-primary' id="runAutoOptimizer" onclick='startStopAutoRun()' type="button" value="Auto Run"> |
|
|
|
|
|
<br> |
|
|
|
|
|
<br> |
|
|
|
|
|
<div class="card"> |
|
|
|
|
|
<div class="card-header"> |
|
|
|
|
|
<h2>Population Variables</h2> |
|
|
|
|
|
</div> |
|
|
|
|
|
<form class="card-body"> |
|
|
|
|
|
<div class="row p-2"> |
|
|
|
|
|
<div class="col"> |
|
|
|
|
|
<label for="populationSize">Population Size</label> |
|
|
|
|
|
<input type="text" class="form-control" value="100" id="populationSize" placeholder="Population Size" required> |
|
|
|
|
|
</div> |
|
|
|
|
|
<div class="col"> |
|
|
|
|
|
<label for="populationSize">Survival Size</label> |
|
|
|
|
|
<input type="text" class="form-control" value="20" id="survivalSize" placeholder="Survival Size" required> |
|
|
|
|
|
</div> |
|
|
|
|
|
</div> |
|
|
|
|
|
<div class="row p-2"> |
|
|
|
|
|
<div class="col"> |
|
|
|
|
|
<label for="populationSize">Mutation Rate</label> |
|
|
|
|
|
<input type="text" class="form-control" value="0.03" id="mutationRate" placeholder="Mutation Rate" required> |
|
|
|
|
|
</div> |
|
|
|
|
|
<div class="col"> |
|
|
|
|
|
<label for="populationSize">New Organisms Per Generation</label> |
|
|
|
|
|
<input type="text" class="form-control" value="5" id="newBlood" placeholder="New Organisms" required> |
|
|
|
|
|
</div> |
|
|
|
|
|
</div> |
|
|
|
|
|
<br> |
|
|
|
|
|
<input class='btn btn-primary' id="reset" onclick='resetPopulation()' type="button" value="Reset Population"> |
|
|
|
|
|
</form> |
|
|
|
|
|
</div> |