/* Driver for routine polcof */

#include <stdio.h>
#include <math.h>
#define NRANSI
#include "nr.h"
#include "nrutil.h"

#define NP 4
#define PI 3.1415926

int main(void)
{
	int i,j,nfunc;
	float f,sum,x,*coeff,*xa,*ya;

	coeff=vector(0,NP);
	xa=vector(0,NP);
	ya=vector(0,NP);
	for (nfunc=1;nfunc<=2;nfunc++) {
		if (nfunc == 1) {
			printf("sine function from 0 to PI\n\n");
			for (i=0;i<=NP;i++) {
				xa[i]=(i+1)*PI/(NP+1);
				ya[i]=sin(xa[i]);
			}
		} else if (nfunc == 2) {
			printf("exponential function from 0 to 1\n\n");
			for (i=0;i<=NP;i++) {
				xa[i]=1.0*(i+1)/(NP+1);
				ya[i]=exp(xa[i]);
			}
		} else {
			break;
		}
		polcof(xa,ya,NP,coeff);
		printf("  coefficients\n");
		for (i=0;i<=NP;i++) printf("%12.6f",coeff[i]);
		printf("\n\n%9s %13s %15s\n","x","f(x)","polynomial");
		for (i=1;i<=10;i++) {
			if (nfunc == 1) {
				x=(-0.05+i/10.0)*PI;
				f=sin(x);
			} else if (nfunc == 2) {
				x = -0.05+i/10.0;
				f=exp(x);
			}
			sum=coeff[NP];
			for (j=NP-1;j>=0;j--)
				sum=coeff[j]+sum*x;
			printf("%12.6f %12.6f %12.6f\n",x,f,sum);
		}
		printf("\n************************************\n");
		printf("press RETURN\n");
		(void) getchar();
	}
	free_vector(ya,0,NP);
	free_vector(xa,0,NP);
	free_vector(coeff,0,NP);
	return 0;
}
#undef NRANSI