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📄 gadlg.cpp

📁 遗传算法求最大值(任意多元高阶次寻优)
💻 CPP
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// GADlg.cpp : implementation file
//

#include "stdafx.h"
#include "GA.h"
#include "GADlg.h"
#include <stdio.h>
#include <stdlib.h>
#include <math.h>


#ifdef _DEBUG
#define new DEBUG_NEW
#undef THIS_FILE
static char THIS_FILE[] = __FILE__;
#endif

///////////////////////
#define POPSIZE 50               /* 群规模 */
#define MAXGENS 10000             /* 最大子代数 */
#define NVARS 3                  /* 目标函数中的变量数目 */
#define PXOVER 0.9              
#define PMUTATION 0.15           
#define TRUE 1
#define FALSE 0
int generation;                  /* 当前代 */
int cur_best;                    /* 最好的个体 */
FILE *galog;                    

struct genotype /*染色体个体结构体 */
{
  double gene[NVARS];        /* a string of variables *///采用浮点数编码
  double fitness;            /* GT's fitness *//适应值
  double upper[NVARS];       
  double lower[NVARS];       
  double rfitness;           /* relative fitness */
  double cfitness;           /*累计氏硬度  */
};
struct genotype population[POPSIZE+1];    /* population父代 */
struct genotype newpopulation[POPSIZE+1]; /* new population子女; */
                                          

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 *);
void mutate(void);
void report(void);

/////////////////////////////////////////////////////////////////////////////
// CAboutDlg dialog used for App About

class CAboutDlg : public CDialog
{
public:
	CAboutDlg();

// Dialog Data
	//{{AFX_DATA(CAboutDlg)
	enum { IDD = IDD_ABOUTBOX };
	//}}AFX_DATA

	// ClassWizard generated virtual function overrides
	//{{AFX_VIRTUAL(CAboutDlg)
	protected:
	virtual void DoDataExchange(CDataExchange* pDX);    // DDX/DDV support
	//}}AFX_VIRTUAL

// Implementation
protected:
	//{{AFX_MSG(CAboutDlg)
	//}}AFX_MSG
	DECLARE_MESSAGE_MAP()
};

CAboutDlg::CAboutDlg() : CDialog(CAboutDlg::IDD)
{
	//{{AFX_DATA_INIT(CAboutDlg)
	//}}AFX_DATA_INIT
}

void CAboutDlg::DoDataExchange(CDataExchange* pDX)
{
	CDialog::DoDataExchange(pDX);
	//{{AFX_DATA_MAP(CAboutDlg)
	//}}AFX_DATA_MAP
}

BEGIN_MESSAGE_MAP(CAboutDlg, CDialog)
	//{{AFX_MSG_MAP(CAboutDlg)
		// No message handlers
	//}}AFX_MSG_MAP
END_MESSAGE_MAP()

/////////////////////////////////////////////////////////////////////////////
// CGADlg dialog

CGADlg::CGADlg(CWnd* pParent /*=NULL*/)
	: CDialog(CGADlg::IDD, pParent)
{
	//{{AFX_DATA_INIT(CGADlg)
		// NOTE: the ClassWizard will add member initialization here
	//}}AFX_DATA_INIT
	// Note that LoadIcon does not require a subsequent DestroyIcon in Win32
	m_hIcon = AfxGetApp()->LoadIcon(IDR_MAINFRAME);
}

void CGADlg::DoDataExchange(CDataExchange* pDX)
{
	CDialog::DoDataExchange(pDX);
	//{{AFX_DATA_MAP(CGADlg)
		// NOTE: the ClassWizard will add DDX and DDV calls here
	//}}AFX_DATA_MAP
}

BEGIN_MESSAGE_MAP(CGADlg, CDialog)
	//{{AFX_MSG_MAP(CGADlg)
	ON_WM_SYSCOMMAND()
	ON_WM_PAINT()
	ON_WM_QUERYDRAGICON()
	ON_BN_CLICKED(IDC_BUTTON1, OnButton1)
	//}}AFX_MSG_MAP
END_MESSAGE_MAP()

/////////////////////////////////////////////////////////////////////////////
// CGADlg message handlers

BOOL CGADlg::OnInitDialog()
{
	CDialog::OnInitDialog();

	// Add "About..." menu item to system menu.

	// IDM_ABOUTBOX must be in the system command range.
	ASSERT((IDM_ABOUTBOX & 0xFFF0) == IDM_ABOUTBOX);
	ASSERT(IDM_ABOUTBOX < 0xF000);

	CMenu* pSysMenu = GetSystemMenu(FALSE);
	if (pSysMenu != NULL)
	{
		CString strAboutMenu;
		strAboutMenu.LoadString(IDS_ABOUTBOX);
		if (!strAboutMenu.IsEmpty())
		{
			pSysMenu->AppendMenu(MF_SEPARATOR);
			pSysMenu->AppendMenu(MF_STRING, IDM_ABOUTBOX, strAboutMenu);
		}
	}

	// Set the icon for this dialog.  The framework does this automatically
	//  when the application's main window is not a dialog
	SetIcon(m_hIcon, TRUE);			// Set big icon
	SetIcon(m_hIcon, FALSE);		// Set small icon
	
	// TODO: Add extra initialization here
	
	return TRUE;  // return TRUE  unless you set the focus to a control
}

void CGADlg::OnSysCommand(UINT nID, LPARAM lParam)
{
	if ((nID & 0xFFF0) == IDM_ABOUTBOX)
	{
		CAboutDlg dlgAbout;
		dlgAbout.DoModal();
	}
	else
	{
		CDialog::OnSysCommand(nID, lParam);
	}
}

// If you add a minimize button to your dialog, you will need the code below
//  to draw the icon.  For MFC applications using the document/view model,
//  this is automatically done for you by the framework.

void CGADlg::OnPaint() 
{
	if (IsIconic())
	{
		CPaintDC dc(this); // device context for painting

		SendMessage(WM_ICONERASEBKGND, (WPARAM) dc.GetSafeHdc(), 0);

		// Center icon in client rectangle
		int cxIcon = GetSystemMetrics(SM_CXICON);
		int cyIcon = GetSystemMetrics(SM_CYICON);
		CRect rect;
		GetClientRect(&rect);
		int x = (rect.Width() - cxIcon + 1) / 2;
		int y = (rect.Height() - cyIcon + 1) / 2;

		// Draw the icon
		dc.DrawIcon(x, y, m_hIcon);
	}
	else
	{
		CDialog::OnPaint();
	}
}

// The system calls this to obtain the cursor to display while the user drags
//  the minimized window.
HCURSOR CGADlg::OnQueryDragIcon()
{
	return (HCURSOR) m_hIcon;
}

void CGADlg::OnButton1() 
{
	// TODO: Add your control notification handler code here
	int i;
if ((galog = fopen("galog.txt","w"))==NULL)
      {
      exit(1);
      }
generation = 0;
fprintf(galog, "\n generation  best  average  standard \n");
fprintf(galog, " number      value fitness  deviation \n");
initialize();
evaluate();
keep_the_best();
while(generation<MAXGENS)
      {
      generation++;
      select();
      crossover();
      mutate();
      report();
      evaluate();
      elitist();
      }
fprintf(galog,"\n\n Simulation completed\n");
fprintf(galog,"\n Best member: \n");
for (i = 0; i < NVARS; i++)
   {
   fprintf (galog,"\n var(%d) = %3.5f",i,population[POPSIZE].gene[i]);
   }
fprintf(galog,"\n\n Best fitness = %3.5f",population[POPSIZE].fitness);
fclose(galog);
printf("Success\n");

	
}

void initialize(void)
{

int i, j;
double lbound, ubound;
lbound=0;
ubound=10;

for (i = 0; i < NVARS; i++)
      {
      
      for (j = 0; j < POPSIZE; j++)
           {
           population[j].fitness = 0;
           population[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);
}

double randval(double low, double high)
{
double val;
val = ((double)(rand()%1000)/1000.0)*(high - low) + low;
return(val);
}

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]) + x[3]);
      }
}

void keep_the_best()
{
int mem;
int i;
cur_best = 0; /* 存储最好的子女的下标 */
for (mem = 0; mem < POPSIZE; mem++)
      {
      if (population[mem].fitness > population[POPSIZE].fitness)
            {
            cur_best = mem;
            population[POPSIZE].fitness = population[mem].fitness;
            }
      }
/* 找到最好的,就复制给本代中的最后一个个体 */
for (i = 0; i < NVARS; i++)
      population[POPSIZE].gene[i] = population[cur_best].gene[i];
}

void elitist()
{
int i;
double best, worst;             /* best and worst fitness values */
int best_mem, worst_mem; /* 最优,最差个体下标 */
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].fitness >= 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[i].fitness;
                  worst_mem = i;
                  }
            if (population[i+1].fitness >= best)
                  {
                  best = population[i+1].fitness;
                  best_mem = i + 1;
                  }
            }
      }

if (best >= population[POPSIZE].fitness)
    {
    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].fitness = population[POPSIZE].fitness;
    } 
}


void select(void)
{
int mem, i, j;
double sum = 0;
double p;
/*寻找群的适应值之和 */
for (mem = 0; mem < POPSIZE; mem++)
      {
      sum += population[mem].fitness;
      }
/* calculate relative fitness */
for (mem = 0; mem < POPSIZE; mem++)//计算其适应度在适应度之和中所占的份额
   {
      population[mem].rfitness =  population[mem].fitness/sum;
      }
population[0].cfitness = population[0].rfitness;
/* 累计适应值 */
for (mem = 1; mem < POPSIZE; mem++)
      {
      population[mem].cfitness =  population[mem-1].cfitness +       
                          population[mem].rfitness;
      }
/* 通过累计值来选择最后的幸存者. */
for (i = 0; i < POPSIZE; i++)
      { 
      p = rand()%1000/1000.0;
      if (p < population[0].cfitness)
            newpopulation[i] = population[0];      
      else
            {
            for (j = 0; j < POPSIZE;j++)      
                  if (p >= population[j].cfitness && 
                              p<population[j+1].cfitness)
                        newpopulation[i] = population[j+1];
            }
      }
/* once a new population is created, copy it back */
for (i = 0; i < POPSIZE; i++)
      population[i] = newpopulation[i];      
}


void crossover(void)
{
int  mem, one;
int first  =  0; /*选交叉个体 */
double x;
for (mem = 0; mem < POPSIZE; ++mem)
      {
      x = rand()%1000/1000.0;
      if (x < PXOVER)
            {
            ++first;
            if (first % 2 == 0)
                  Xover(one, mem);
            else
                  one = mem;
            }
      }
}

void Xover(int one, int two)
{
int i;
int point; /* crossover point */
/* 选交叉点 */
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[two].gene[i]);
   }
}

void swap(double *x, double *y)
{
double temp;
temp = *x;
*x = *y;
*y = temp;
}

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)
                  {
                  /* 寻找变异个体的上下界限*/
                  lbound = population[i].lower[j];
                  hbound = population[i].upper[j];  
                  population[i].gene[j] = randval(lbound, hbound);
                  }
            }
}

void report(void)
{
int i;
double best_val;            /* 群体最优适应值 */
double avg;                 /* 平均适应值 */
double stddev;              /* std. deviation of population fitness 标准偏差*/
double sum_square;          /* sum of square for std. calc *///相关的数学处理
double square_sum;          /* square of sum for std. calc */
double sum;                 /* total population fitness */
sum = 0.0;
sum_square = 0.0;
for (i = 0; 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;
fprintf(galog, "\n%5d,      %6.3f, %6.3f, %6.3f \n\n", generation, 
                                      best_val, avg, stddev);
}

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