Evaluation of real polynomials - the implementation. More...

#include "vnl_real_polynomial.h"
#include <vcl_iostream.h>
#include <vcl_complex.h>
#include <vcl_cmath.h>

Functions
template<class T >
T	vnl_real_polynomial_evaluate (double const *a, int n, T const &x)
vnl_real_polynomial	operator+ (const vnl_real_polynomial &f1, const vnl_real_polynomial &f2)
	Returns sum of two polynomials f1(x)+f2(x).
vnl_real_polynomial	operator- (const vnl_real_polynomial &f1, const vnl_real_polynomial &f2)
	Returns sum of two polynomials f1(x)-f2(x).
vnl_real_polynomial	operator* (const vnl_real_polynomial &f1, const vnl_real_polynomial &f2)
	Returns polynomial which is product of two polynomials f1(x)*f2(x).
double	vnl_rms_difference (const vnl_real_polynomial &f1, const vnl_real_polynomial &f2, double x1, double x2)
	Returns RMS difference between f1 and f2 over range [x1,x2].

Detailed Description

Evaluation of real polynomials - the implementation.

Modifications IMS (Manchester) 14/03/2001: Added Manchester IO scheme

Function Documentation

vnl_real_polynomial operator*	(	const vnl_real_polynomial &	f1,
		const vnl_real_polynomial &	f2
	)

Returns polynomial which is product of two polynomials f1(x)*f2(x).

Definition at line 145 of file vnl_real_polynomial.cxx.

vnl_real_polynomial operator+	(	const vnl_real_polynomial &	f1,
		const vnl_real_polynomial &	f2
	)

Returns sum of two polynomials f1(x)+f2(x).

Returns polynomial which is sum of two polynomials f1(x)+f2(x).

Definition at line 101 of file vnl_real_polynomial.cxx.

vnl_real_polynomial operator-	(	const vnl_real_polynomial &	f1,
		const vnl_real_polynomial &	f2
	)

Returns sum of two polynomials f1(x)-f2(x).

Returns polynomial which is different of two polynomials f1(x)-f2(x).

Definition at line 123 of file vnl_real_polynomial.cxx.

template<class T >

T vnl_real_polynomial_evaluate	(	double const *	a,
		int	n,
		T const &	x
	)

Definition at line 20 of file vnl_real_polynomial.cxx.

Returns RMS difference between f1 and f2 over range [x1,x2].

$\frac1{\sqrt{|x_2-x_1|}}\,\sqrt{\int_{x_1}^{x_2}\left(f_1(x)-f_2(x)\right)^2\,dx}$

Definition at line 180 of file vnl_real_polynomial.cxx.