#include <iostream.h>
#include <math.h>

void main()

{
	
	double x1,x2, fx, y, root;
	int j;
//  guess for the range  
	x1 = 0;   // y = -
	x2 = 1.5 ;// y = +
  
	
	for (j=1;j<=100; j++)
	
	{
		
		fx = 0.5*(x1+x2);  // mid-point 
		y = fx - cos(fx);
		if(y<0)x1=fx;
		if(y>0)x2=fx;
		cout<<"Iteration "<<j<<", root lies between "<<x1<<" and "<<x2<<", y="<<y<<endl;
		if(fabs(y)<1e-10)
		{
			root=fx;
			cout<<"root="<<root<<"\ty="<<y<<endl;
			break;
		}
	
	}
}