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nr.c
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nr.c
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#include<math.h>
#include<stdlib.h>
#include<stdio.h>
#define EPSILON 0.001
#define delta 0.00001
/*#define */
double *allocate(int n)
{
double *p = (double*)malloc(n*sizeof(double));int i=0;
for(i=0; i<n; i++)
p[i] = 0;
return p;
}
double function(int n, double x, double *c, double *e)
{
int i; double r=0.0;
for(i=0; i<n; i++)
r = r + c[i]*pow(x,e[i]);
return r;
}
double derivative(int n, double x0, double *c, double *e)
{
double y1, y2, x1, x2;
x1 = x0 + delta;
x2 = x0 - delta;
y1 = function(n, x1, c, e);
y2 = function(n, x2, c, e);
return (y2 - y1)/(x2 - x1);
}
double newtonRaphson(int n, double x, double *c, double *e)
{
double h = function(n, x, c, e) / derivative(n, x, c, e);
printf("Newton Raphson\n");
while (fabs(h) >= EPSILON)
{
h = function(n, x, c ,e)/derivative(n, x, c, e);
printf("... %lf - (%lf)\n", x, h);
x = x - h;
}
return x;
}
int main()
{
int n;
printf("Enter in format\nFirst line >> No of terms\nFollowing n lines >> The coeff. and expon. of each term\nNext line >> Starting point\n");
scanf("%d", &n);
double *c = allocate(n), *e = allocate(n);
int i = 0;
for(i=0; i<n; i++)
scanf("%lf %lf", &c[i], &e[i]);
double x0, x1, m;
/* scanf("%lf%lf", &x0, &x1);*/
/* double m = (x0 + x1)/2.0;*/
scanf("%lf", &m);
printf("Root at %lf", newtonRaphson(n, m, c, e));
free(c); free(e);
return 0;
}