1、// GA.cpp : Defines the entry point for the console application. // /* 这是一个非常简单的遗传算法源代码,是由Denis Cormier (North Carolina State University)开发的, Sita S.Raghavan (University of North Carolina at Charlotte)修正。 代码保证尽可能少,实际上也不必查错。 对一特定的应用修正此代码,用户只需改变常数的定义并且定义“评价函数”即可。 注意代码的设计是求最大值,其中的目标函数只能取正值;且函数
2、值和个体的适应值之间没有区别。 该系统使用比率选择、精华模型、单点杂交和均匀变异。如果用 Gaussian变异替换均匀变异,可能得到更好的效果。 代码没有任何图形,甚至也没有屏幕输出,主要是保证在平台之间的高可移植性。 读者可以从ftp.uncc.edu, 目录 coe/evol中的文件prog.c中获得。 要求输入的文件应该命名为‘gadata.txt’;系统产生的输出文件为‘galog.txt’。 输入的文件由几行组成:数目对应于变量数。且每一行提供次序——对应于变量的上下界。 如第一行为第一个变量提供上下界,第二行为第二个变量提供上下界,等等。 */ #incl
3、ude
4、量的个数*/ #define PXOVER 0.8 /* probability of crossover 杂交概率*/ #define PMUTATION 0.15 /* probability of mutation 变异概率*/ #define TRUE 1 #define FALSE 0 int generation; /* current generation no. 当前基因个数*/ int cur_best; /* best individual 最优个体*/ FILE *galog; /* an output file 输出文件指针*/
5、struct genotype /* genotype (GT), a member of the population 种群的一个基因的结构体类型*/ { double gene[NVARS]; /* a string of variables 变量*/ double fitness; /* GT's fitness 基因的适应度*/ double upper[NVARS]; /* GT's variables upper bound 基因变量的上界*/ double lower[NVARS]; /* GT's variables lower bound 基因变量
6、的下界*/ double rfitness; /* relative fitness 比较适应度*/ double cfitness; /* cumulative fitness 积累适应度*/ }; struct genotype population[POPSIZE+1]; /* population 种群*/ struct genotype newpopulation[POPSIZE+1]; /* new population; 新种群*/ /* replaces the old generation */ //取代旧的基因 /* Declarati
7、on of procedures used by this genetic algorithm */ //以下是一些函数声明 void initialize(void); double randval(double, double); void evaluate(void); void keep_the_best(void); void elitist(void); void select(void); void crossover(void); void Xover(int,int); void swap(double *, double *); v
8、oid mutate(void); void report(void); /***************************************************************/ /* Initialization function: Initializes the values of genes */ /* within the variables bounds. It also initializes (to zero) */ /* all fitness values for each member of the population.
9、It */ /* reads upper and lower bounds of each variable from the */ /* input file `gadata.txt'. It randomly generates values */ /* between these bounds for each gene of each genotype in the */ /* population. The format of the input file `gadata.txt' is */ /* var1_lower_bound var1_upper boun
10、d */ /* var2_lower_bound var2_upper bound ... */ /***************************************************************/ void initialize(void) { FILE *infile; int i, j; double lbound, ubound; if ((infile = fopen("gadata.txt","r"))==NULL) { fprintf(galog,"\nCannot open input
11、 file!\n"); exit(1); } /* initialize variables within the bounds */ //把输入文件的变量界限输入到基因结构体中 for (i = 0; i < NVARS; i++) { fscanf(infile, "%lf",&lbound); fscanf(infile, "%lf",&ubound); for (j = 0; j < POPSIZE; j++) { population[j].fitness = 0; populati
12、on[j].rfitness = 0; population[j].cfitness = 0; population[j].lower[i] = lbound; population[j].upper[i]= ubound; population[j].gene[i] = randval(population[j].lower[i], population[j].upper[i]); } } fclose(infile); } /**************************************
13、/ /* Random value generator: Generates a value within bounds */ /***********************************************************/ //随机数产生函数 double randval(double low, double high) { double val; val = ((double)(rand()%1000)/1000.0)*(high - low) + low; return(val);
14、 } /*************************************************************/ /* Evaluation function: This takes a user defined function. */ /* Each time this is changed, the code has to be recompiled. */ /* The current function is: x[1]^2-x[1]*x[2]+x[3] */ /****************************************
15、/ //评价函数,可以由用户自定义,该函数取得每个基因的适应度 void evaluate(void) { int mem; int i; double x[NVARS+1]; for (mem = 0; mem < POPSIZE; mem++) { for (i = 0; i < NVARS; i++) x[i+1] = population[mem].gene[i]; population[mem].fitness = (x[1]*x[1]) - (x[1]*x[2]
16、) + x[3]; } } /***************************************************************/ /* Keep_the_best function: This function keeps track of the */ /* best member of the population. Note that the last entry in */ /* the array Population holds a copy of the best individual */ /***********
17、/ //保存每次遗传后的最佳基因 void keep_the_best() { int mem; int i; cur_best = 0; /* stores the index of the best individual */ //保存最佳个体的索引 for (mem = 0; mem < POPSIZE; mem++) { if (population[mem].fitness > population[POPSIZE].fit
18、ness) { cur_best = mem; population[POPSIZE].fitness = population[mem].fitness; } } /* once the best member in the population is found, copy the genes */ //一旦找到种群的最佳个体,就拷贝他的基因 for (i = 0; i < NVARS; i++) population[POPSIZE].gene[i] = population[cur_best].gene[i]; }
19、 /****************************************************************/ /* Elitist function: The best member of the previous generation */ /* is stored as the last in the array. If the best member of */ /* the current generation is worse then the best member of the */ /* previous generation,
20、the latter one would replace the worst */ /* member of the current population */ /****************************************************************/ //搜寻杰出个体函数:找出最好和最坏的个体。 //如果某代的最好个体比前一代的最好个体要坏,那么后者将会取代当前种群的最坏个体 void elitist() { int i; double best, worst; /* best and worst fitness va
21、lues 最好和最坏个体的适应度值*/ int best_mem, worst_mem; /* indexes of the best and worst member 最好和最坏个体的索引*/ best = population[0].fitness; worst = population[0].fitness; for (i = 0; i < POPSIZE - 1; ++i) { if(population[i].fitness > population[i+1].fitness) { if (population[i].fi
22、tness >= best) { best = population[i].fitness; best_mem = i; } if (population[i+1].fitness <= worst) { worst = population[i+1].fitness; worst_mem = i + 1; } } else { if (population[i].fitness <= worst) { worst = population[
23、i].fitness; worst_mem = i; } if (population[i+1].fitness >= best) { best = population[i+1].fitness; best_mem = i + 1; } } } /* if best individual from the new population is better than */ /* the best individual from the previous population, then */
24、 /* copy the best from the new population; else replace the */ /* worst individual from the current population with the */ /* best one from the previous generation */ //如果新种群中的最好个体比前一代的最好个体要强的话,那么就把新种群的最好个体拷贝出来。 //否则就用前一代的最好个体取代这次的最坏个体 if (best >= population[POPSIZE].fitness) {
25、 for (i = 0; i < NVARS; i++) population[POPSIZE].gene[i] = population[best_mem].gene[i]; population[POPSIZE].fitness = population[best_mem].fitness; } else { for (i = 0; i < NVARS; i++) population[worst_mem].gene[i] = population[POPSIZE].gene[i]; population[worst_mem].
26、fitness = population[POPSIZE].fitness; } } /**************************************************************/ /* Selection function: Standard proportional selection for */ /* maximization problems incorporating elitist model - makes */ /* sure that the best member survives */ /*********
27、/ //选择函数:用于最大化合并杰出模型的标准比例选择,保证最优秀的个体得以生存 void select(void) { int mem, j, i; double sum = 0; double p; /* find total fitness of the population */ //找出种群的适应度之和 for (mem = 0; mem < POPSIZE; mem++) { sum += population[m
28、em].fitness; } /* calculate relative fitness */ //计算相对适应度 for (mem = 0; mem < POPSIZE; mem++) { population[mem].rfitness = population[mem].fitness/sum; } population[0].cfitness = population[0].rfitness; /* calculate cumulative fitness */ //计算累加适应度 for (mem = 1;
29、mem < POPSIZE; mem++) { population[mem].cfitness = population[mem-1].cfitness + population[mem].rfitness; } /* finally select survivors using cumulative fitness. */ //用累加适应度作出选择 for (i = 0; i < POPSIZE; i++) { p = rand()%1000/1000.0; if (p < population[0].cfitnes
30、s)
newpopulation[i] = population[0];
else
{
for (j = 0; j < POPSIZE;j++)
if (p >= population[j].cfitness &&
p 31、
for (i = 0; i < POPSIZE; i++)
population[i] = newpopulation[i];
}
/***************************************************************/
/* Crossover selection: selects two parents that take part in */
/* the crossover. Implements a single point crossover */
/************************** 32、/
//杂交函数:选择两个个体来杂交,这里用单点杂交
void crossover(void)
{
int mem, one;
int first = 0; /* count of the number of members chosen */
double x;
for (mem = 0; mem < POPSIZE; ++mem)
{
x = rand()%1000/1000.0;
if (x < PXOVER)
{
++first;
33、
if (first % 2 == 0)
Xover(one, mem);
else
one = mem;
}
}
}
/**************************************************************/
/* Crossover: performs crossover of the two selected parents. */
/**************************************************************/
void X 34、over(int one, int two)
{
int i;
int point; /* crossover point */
/* select crossover point */
if(NVARS > 1)
{
if(NVARS == 2)
point = 1;
else
point = (rand() % (NVARS - 1)) + 1;
for (i = 0; i < point; i++)
swap(&population[one].gene[i], &population[t 35、wo].gene[i]);
}
}
/*************************************************************/
/* Swap: A swap procedure that helps in swapping 2 variables */
/*************************************************************/
void swap(double *x, double *y)
{
double temp;
temp = *x; 36、
*x = *y;
*y = temp;
}
/**************************************************************/
/* Mutation: Random uniform mutation. A variable selected for */
/* mutation is replaced by a random value between lower and */
/* upper bounds of this variable */
/************************* 37、/
//变异函数:被该函数选中后会使得某一变量被一个随机的值所取代
void mutate(void)
{
int i, j;
double lbound, hbound;
double x;
for (i = 0; i < POPSIZE; i++)
for (j = 0; j < NVARS; j++)
{
x = rand()%1000/1000.0;
if (x < PMUTATION)
{
/* find the 38、bounds on the variable to be mutated 确定*/
lbound = population[i].lower[j];
hbound = population[i].upper[j];
population[i].gene[j] = randval(lbound, hbound);
}
}
}
/***************************************************************/
/* Report function: Reports progress 39、 of the simulation. Data */
/* dumped into the output file are separated by commas */
/***************************************************************/
void report(void)
{
int i;
double best_val; /* best population fitness 最佳种群适应度*/
double avg; /* avg population fitness 平均种群适应度*/ 40、
double stddev; /* std. deviation of population fitness */
double sum_square; /* sum of square for std. calc 各个个体平方之和*/
double square_sum; /* square of sum for std. calc 平均值的平方乘个数*/
double sum; /* total population fitness 所有种群适应度之和*/
sum = 0.0;
sum_square = 0.0;
for (i = 0; 41、 i < POPSIZE; i++)
{
sum += population[i].fitness;
sum_square += population[i].fitness * population[i].fitness;
}
avg = sum/(double)POPSIZE;
square_sum = avg * avg * POPSIZE;
stddev = sqrt((sum_square - square_sum)/(POPSIZE - 1));
best_val = population[POPSIZE].fitness; 42、
fprintf(galog, "\n%5d, %6.3f, %6.3f, %6.3f \n\n", generation,
best_val, avg, stddev);
}
/**************************************************************/
/* Main function: Each generation involves selecting the best */
/* members, performing crossover & mutation and then */
/* e 43、valuating the resulting population, until the terminating */
/* condition is satisfied */
/**************************************************************/
void main(void)
{
int i;
if ((galog = fopen("galog.txt","w"))==NULL)
{
exit(1);
}
generation = 0;
fprintf(g 44、alog, "\n generation best average standard \n");
fprintf(galog, " number value fitness deviation \n");
initialize();
evaluate();
keep_the_best();
while(generation 45、);
}
fprintf(galog,"\n\n Simulation completed\n");
fprintf(galog,"\n Best member: \n");
for (i = 0; i < NVARS; i++)
{
fprintf (galog,"\n var(%d) = %3.3f",i,population[POPSIZE].gene[i]);
}
fprintf(galog,"\n\n Best fitness = %3.3f",population[POPSIZE].fitness);
fclose(galog);
printf("Success\n");
}
/***************************************************************/






