polynomial

Collaboration diagram for polynomial:

Functions
double *	a_poly_swap (double *a, size_t n)
	swap between \( \sum_{i=0}^{n}a_{i}x^{i} \) and \( \sum_{i=0}^{n}a_{i}x^{n-i} \)
double	a_poly_eval (double const *a, size_t n, double x)
	horner function for polynomial \( \sum_{i=0}^{n}a_{i}x^{i} \)
double	a_poly_eval_ (double const *a, double const *b, double x)
double	a_poly_evar (double const *a, size_t n, double x)
	horner function for polynomial \( \sum_{i=0}^{n}a_{i}x^{n-i} \)
double	a_poly_evar_ (double const *a, double const *b, double x)

Detailed Description

Function Documentation

a_poly_eval()

double a_poly_eval	(	double const *	a,
		size_t	n,
		double	x )

horner function for polynomial \( \sum_{i=0}^{n}a_{i}x^{i} \)

\[ \left\{\begin{array}{l} S_n = a_n\\ S_i = xS_{i+1} + a_i,\quad(i=n-1,n-2,\cdots,1,0)\\ P(x) = S_0 \end{array}\right. \]

a_poly_evar()

double a_poly_evar	(	double const *	a,
		size_t	n,
		double	x )

horner function for polynomial \( \sum_{i=0}^{n}a_{i}x^{n-i} \)

\[ \left\{\begin{array}{l} S_0 = a_0\\ S_i = xS_{i-1} + a_i,\quad(i=1,2,\cdots,n-1,n)\\ P(x) = S_n \end{array}\right. \]