Find the root of a equation using Bisection method
Program:
#include<stdio.h>
#include<conio.h>
#include<math.h>
#define EPS 0.000001
#define F(x) (x) * (x) * (x)  2 * (x)  5
void main()
{
int s, count;
float a, b, root;
clrscr();
printf("Input starting values : ");
scanf("%f %f", &a, &b) ;
bim(&a, &b, &root, &s, &count);
if(s == 0)
{
printf("\nStarting points do not bracket any root.");
printf("\nCheck whether they bracket EVEN roots.");
}
else
{
printf("\nRoot = %f", root);
printf("\n\nF(root) = %f", F(root));
printf("\n\nIterations = %d", count);
}
getch() ;
}
bim (float *a, float *b, float *root, int *s, int *count)
{
float x1, x2, x0, f0, f1, f2;
x1 = *a;
x2 = *b;
f1 = F(x1);
f2 = F(x2);
if(f1 * f2 > 0)
{
*s = 0;
return;
}
else
{
*count = 0;
begin:
x0 = (x1 + x2) / 2.0;
f0 = F(x0);
if(f0 == 0)
{
*s = 1;
*root = x0;
return;
}
if(f1 * f0 < 0)
{
2 = x0;
}
else
{
x1 = x0;
f1 = f0;
}
if(fabs((x2  x1) / x2) < EPS)
{
*s = 1;
*root = (x1 x2) / 2.0;
return;
}
else
{
*count = *count + 1;
goto begin;
}
}
}
Output:
Input starting values : 2 3
Root = 2.094552
F(root) = 0.000006
Iterations = 18

CreatedOct 18, 2014

UpdatedDec 31, 2019

Views6,852
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