11. Fractal

/********************************************************************************
TITLE: PROGRAM TO IMPLEMENT THE FRACTAL.
********************************************************************************/

#include <graphics.h>
#include<math.h>
#define PI 3.141592

void branch(float x,float y,float len,float theta)
{
	float x2 = x + len*cos(theta),y2 = y + len*sin(theta); // FINDING ENDPOINT

	putpixel(x,y,14);
	putpixel(x2,y2,14);

    	float midX = x + len/1.8*cos(theta),midY = y + len/1.8*sin(theta);

     	if(len >20) // STOPPING CONDITION
	{
		 branch(midX,midY,len/2,theta + PI/3); // RECURSIVE CALLS
		 branch(midX,midY,len/2,theta - PI/3);
		 branch(midX,midY,len/2,theta + PI/6);
		 branch(midX,midY,len/2,theta - PI/6);
	}
}

int main()
{
	 int gd=DETECT,gm;//Detects the graphics drivers automatically
   	 initgraph(&gd,&gm,"");//Initialize to graphics mode

	 branch(300,75,300,PI/2); // THE MAIN BARK OF TREE

	 getch(); //Pauses the Output Console until a key is pressed
   	 closegraph(); //Closes the graphics mode
         return 0;
}