vnl_rnpoly_solve Class Reference

Solves for roots of system of real polynomials. More...

#include <vnl_rnpoly_solve.h>

List of all members.

Public Member Functions
	vnl_rnpoly_solve (vcl_vector< vnl_real_npolynomial * > const &ps)
	The constructor already does all the calculations.
	~vnl_rnpoly_solve ()
vcl_vector< vnl_vector< double > * >	real ()
	Array of real parts of roots.
vcl_vector< vnl_vector< double > * >	imag ()
	Array of imaginary parts of roots.
vcl_vector< vnl_vector< double > * >	realroots (double tol=1e-12)
	Return real roots only.
Private Member Functions
bool	compute ()
	Compute roots using continuation algorithm.
void	Read_Input (vcl_vector< unsigned int > &ideg, vcl_vector< unsigned int > &terms, vcl_vector< int > &polyn, vcl_vector< double > &coeff)
	This will read the input polynomials from a data file.
Private Attributes
vcl_vector < vnl_real_npolynomial * >	ps_
vcl_vector< vnl_vector< double > * >	r_
vcl_vector< vnl_vector< double > * >	i_

---

Detailed Description

Solves for roots of system of real polynomials.

Calculates all the roots of a system of N polynomials in N variables through continuation. Adapted from the PARALLEL CONTINUATION algorithm, written by Darrell Stam, 1991, and further improved by Kriegman and Ponce, 1992.

Definition at line 32 of file vnl_rnpoly_solve.h.

---

Constructor & Destructor Documentation

vnl_rnpoly_solve::vnl_rnpoly_solve

(

vcl_vector< vnl_real_npolynomial * > const &

ps

)

[inline]

The constructor already does all the calculations.

Definition at line 44 of file vnl_rnpoly_solve.h.

vnl_rnpoly_solve::~vnl_rnpoly_solve

(

)

Definition at line 763 of file vnl_rnpoly_solve.cxx.

---

Member Function Documentation

bool vnl_rnpoly_solve::compute

(

)

[private]

Compute roots using continuation algorithm.

Definition at line 769 of file vnl_rnpoly_solve.cxx.

vcl_vector<vnl_vector<double>*> vnl_rnpoly_solve::imag

(

)

[inline]

Array of imaginary parts of roots.

Definition at line 57 of file vnl_rnpoly_solve.h.

void vnl_rnpoly_solve::Read_Input	(	vcl_vector< unsigned int > &	ideg,
		vcl_vector< unsigned int > &	terms,
		vcl_vector< int > &	polyn,
		vcl_vector< double > &	coeff
	)		[private]

This will read the input polynomials from a data file.

Definition at line 725 of file vnl_rnpoly_solve.cxx.

vcl_vector<vnl_vector<double>*> vnl_rnpoly_solve::real

(

)

[inline]

Array of real parts of roots.

Definition at line 54 of file vnl_rnpoly_solve.h.

vcl_vector< vnl_vector< double > * > vnl_rnpoly_solve::realroots

(

double

tol = 1e-12

)

Return real roots only.

Roots are real if the absolute value of their imaginary part is less than the optional argument tol, which defaults to 1e-12 [untested]

Definition at line 61 of file vnl_rnpoly_solve.cxx.

---

Member Data Documentation

vcl_vector<vnl_vector<double>*> vnl_rnpoly_solve::i_ [private]

Definition at line 37 of file vnl_rnpoly_solve.h.

vcl_vector<vnl_real_npolynomial*> vnl_rnpoly_solve::ps_ [private]

Definition at line 35 of file vnl_rnpoly_solve.h.

vcl_vector<vnl_vector<double>*> vnl_rnpoly_solve::r_ [private]

Definition at line 36 of file vnl_rnpoly_solve.h.

---

The documentation for this class was generated from the following files:

• core/vnl/algo/vnl_rnpoly_solve.h
• core/vnl/algo/vnl_rnpoly_solve.cxx