C Program to Implement bisection Method

#include<stdio.h>

#include <math.h>

#include<conio.h>

#define ESP 0.001

#define F(x) (x)*(x)*(x) + (x)*(x) + (x) + 7

void main()

{

  int i = 1;

  float x0,x1,x2;

  double f1,f2,f0,t;

  clrscr();

  printf("\nEnter the value of x0: ");

  scanf("%f",&x0);

  printf("\nEnter the value of x1: ");

  scanf("%f",&x1);

  printf("\n__________________________________________________________________\n");

  printf("\niteration\t x0\t       x1\t x2\t   f0\t   f1\t   f2");

  printf("\n___________________________________________________________________\n");

  do

  {

  x2=(x0+x1)/2;

  f0=F(x0);

  f1=F(x1);

  f2=F(x2);

  printf("\n%d %f %f %f %lf %lf %lf", i, x0,x1,x2,f0,f1,f2);

  if(f0*f2<0)

   {

    x1=x2;

   }

   else

   {

    x0=x2;

   }

   i++;

  }while(fabs(f2)>ESP);

printf("\n__________________________________________________________\n");

printf("\n\nApp.root = %f",x2);

getch();

}

/*
 OUT PUT
---------


Enter the value of x0: -2

Enter the value of x0: -1

Enter the value of x1: -2

__________________________________________________________

    x0         x1        x2        f0       f1      f2
__________________________________________________________

-1.000000 -2.000000 -1.500000 -5.000000 2.000000 -1.750000
-1.500000 -2.000000 -1.750000 -1.750000 2.000000  0.062500
-1.500000 -1.750000 -1.625000 -1.750000 0.062500 -0.859375
-1.625000 -1.750000 -1.687500 -0.859375 0.062500 -0.402344
-1.687500 -1.750000 -1.718750 -0.402344 0.062500 -0.170898
-1.718750 -1.750000 -1.734375 -0.170898 0.062500 -0.054443
-1.734375 -1.750000 -1.742188 -0.054443 0.062500  0.003967
-1.734375 -1.742188 -1.738281 -0.054443 0.003967 -0.025253
-1.738281 -1.742188 -1.740234 -0.025253 0.003967 -0.010647
-1.740234 -1.742188 -1.741211 -0.010647 0.003967 -0.003341
-1.741211 -1.742188 -1.741699 -0.003341 0.003967  0.000313
__________________________________________________________


App.root = -1.741699


*/