Evaluation of real polynomials. More...

#include <complex>
#include <iosfwd>
#include <vnl/vnl_vector.h>
#include <cassert>
#include "vnl/vnl_export.h"

Classes
class	vnl_real_polynomial
	Evaluation of real polynomials at real and complex points. More...

Functions
VNL_EXPORT vnl_real_polynomial	operator+ (const vnl_real_polynomial &f1, const vnl_real_polynomial &f2)
	Returns polynomial which is sum of two polynomials f1(x)+f2(x). More...

VNL_EXPORT vnl_real_polynomial	operator- (const vnl_real_polynomial &f1, const vnl_real_polynomial &f2)
	Returns polynomial which is different of two polynomials f1(x)-f2(x). More...

VNL_EXPORT 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). More...

VNL_EXPORT 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]. More...

Detailed Description

Evaluation of real polynomials.

Author: Andrew W. Fitzgibbon, Oxford RRG

Date: 06 Aug 96

 Modifications
 23 may 97, Peter Vanroose - "NO_COMPLEX" option added (until "complex" type is standardised)
 27/03/2001 Ian Scott and Tim Cootes - Added Binary IO
 27/03/2001 Ian Scott - Comments tidied up
 25/11/2001 Peter Vanroose - added operator==(), derivative(), primitive(), print()
 12/22/2004 Kongbin Kang - add structured comment for operator==()

Definition in file vnl_real_polynomial.h.

Function Documentation

◆ operator *()

VNL_EXPORT 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 141 of file vnl_real_polynomial.cxx.

◆ operator+()

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

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

Definition at line 97 of file vnl_real_polynomial.cxx.

◆ operator-()

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

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

Definition at line 119 of file vnl_real_polynomial.cxx.

◆ vnl_rms_difference()

VNL_EXPORT 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].

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

Definition at line 176 of file vnl_real_polynomial.cxx.