c program of Bisection Method.

Implementation of Bisection Method.

#include<stdio.h>

#include<math.h>

#include<conio.h>

#include<process.h>

#include<string.h>

#define EPS 0.00000005

#define F(x) (x)*log10(x)-1.2

void Bisect();

int count=1,n;

float root=1;

void main()

{

 clrscr();

printf("\n Solution by BISECTION method\n");

printf("\ Equation is");

printf("\n\t\t\t x*log(x)-1.2=0 \n");

printf("\n Enter the number of iterations\n");

scanf("%d",&n);

Bisect();

getch();

}

void Bisect()

{

float x0,x1,x2;

float f0,f1,f2;

for(x2=1; ;x2++)

{

f2=F(x2);

if(f2>0)

{

break;

}

}

for(x1=x2-1; ;x2++)

{

f1=F(x1);

if(f1<0)

{

break;

}

}

printf("\t\t----------------------------------------");

printf("\n\t\t ITERATIONS\t\t\  ROOTS\n");

printf("\t\t-----------------------------------------");

for(;count<n;count++)

{

x0=(x1+x2)/2.0;

f0=F(x0);

if(f0==0)

{

root=x0;

}

if(f0*f1<0)

{

x2=x0;

}

else

{

x1=x0;

f1=f0;

}

printf("\n\t\t ITERATION%d",count);

printf("\t  :\t   %f",x0);

if(fabs((x1-x2)/x1) <EPS)

{

printf("\n\t\t--------------------------------");

printf("\n\t\t       Root= %f",x0);

printf("\n\t\t   Iterations = %d\n",count);

printf("\t\t-----------------------------------");

getch();

exit(0);

}

}

printf("\n\t\t-------------------------------------");

printf("\n\t\t\t Root = %7.4f",x0);

printf("\n\t\t\t  Iteration = %d\n", count-1);

printf("\t\t---------------------------------------");

getch();}