【コンピュータグラフィックス】六、Mandelbrotセット
2319 ワード
1.アルゴリズム
2.ソースコード
3.結果
2.ソースコード
#include "stdafx.h"
#include "GL/glut.h"
#include "stdlib.h"
#include "math.h"
float xmin=-2.00,xmax=0.50;
float ymin=-1.25,ymax=1.25;
void init()
{
glClearColor(1.0,1.0,1.0,0.0);
glMatrixMode(GL_PROJECTION);
gluOrtho2D(xmin,xmax,ymin,ymax);
}
typedef struct
{
float x,y;
}complexNumber;
typedef struct
{
float r,g,b;
}color;
void setPixel(complexNumber z)
{
glBegin(GL_POINTS);
glVertex2f(z.x,z.y);
glEnd();
}
int iterationCount(complexNumber z0,int maxItera)
{
complexNumber z=z0;
int count=0;
while((z.x*z.x+z.y*z.y<4.0)&&count<=maxItera)
{
z.x=z.x*z.x-z.y*z.y+z0.x;
z.y=2.0*z.x*z.y+z0.y;
count++;
}
return count;
}
void mandelbrot(int maxItera)
{
complexNumber z;
float xIncrement,yIncrement;
int IteraCount;
color ptColor;
xIncrement=(xmax-xmin)/maxItera;
yIncrement=(ymax-ymin)/maxItera;
for(z.x=xmin;z.x<=xmax;z.x+=xIncrement)
for(z.y=ymin;z.y<=ymax;z.y+=yIncrement)
{
IteraCount=iterationCount(z,maxItera);
if(IteraCount>maxItera)
{
ptColor.r=ptColor.g=ptColor.b=0.0;
}
else if(IteraCount>maxItera/80)
{
ptColor.r=0.5;
ptColor.g=0.4;
ptColor.b=0.0;
}
else if(IteraCount>maxItera/100)
{
ptColor.r=1.0;
ptColor.g=0.0;
ptColor.b=0.0;
}
else if(IteraCount>maxItera/125)
{
ptColor.r=0.5;
ptColor.g=0.0;
ptColor.b=0.0;
}
else if(IteraCount>maxItera/200)
{
ptColor.r=0.8;
ptColor.g=1.0;
ptColor.b=0.0;
}
else if(IteraCount>maxItera/250)
{
ptColor.r=0.0;
ptColor.g=0.1;
ptColor.b=0.3;
}
else if(IteraCount>maxItera/500)
{
ptColor.r=0.8;
ptColor.g=0.5;
ptColor.b=0.0;
}
else
{
ptColor.r=0.0;
ptColor.g=ptColor.b=1.0;
}
glColor3f(ptColor.r,ptColor.g,ptColor.b);
setPixel(z);
}
}
void render()
{
glClear(GL_COLOR_BUFFER_BIT);
int maxIetra=1000;
mandelbrot(maxIetra);
glFlush();
}
int main(int argc, char* argv[])
{
glutInit(&argc,argv);
glutInitDisplayMode(GLUT_SINGLE|GLUT_RGB);
glutInitWindowPosition(50,100);
glutInitWindowSize(600,400);
glutCreateWindow("Mandelbrot");
init();
glutDisplayFunc(render);
glutMainLoop();
return 0;
}
3.結果