vnl_rnpoly_solve Class Reference

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

#include <vnl_rnpoly_solve.h>

Public Member Functions
	vnl_rnpoly_solve (std::vector< vnl_real_npolynomial * > ps)
	The constructor already does all the calculations. More...
	~vnl_rnpoly_solve ()
std::vector< vnl_vector< double > * >	real ()
	Array of real parts of roots. More...
std::vector< vnl_vector< double > * >	imag ()
	Array of imaginary parts of roots. More...
std::vector< vnl_vector< double > * >	realroots (double tol=1e-12)
	Return real roots only. More...

Private Member Functions
bool	compute ()
	Compute roots using continuation algorithm. More...
void	Read_Input (std::vector< unsigned int > &ideg, std::vector< unsigned int > &terms, std::vector< int > &polyn, std::vector< double > &coeff)
	This will read the input polynomials from a data file. More...

Private Attributes
std::vector< vnl_real_npolynomial * >	ps_
std::vector< vnl_vector< double > * >	r_
std::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 34 of file vnl_rnpoly_solve.h.

Constructor & Destructor Documentation

vnl_rnpoly_solve()

vnl_rnpoly_solve::vnl_rnpoly_solve ( std::vector< vnl_real_npolynomial * >  ps )

inline

The constructor already does all the calculations.

Definition at line 46 of file vnl_rnpoly_solve.h.

~vnl_rnpoly_solve()

vnl_rnpoly_solve::~vnl_rnpoly_solve

(

)

Definition at line 759 of file vnl_rnpoly_solve.cxx.

Member Function Documentation

compute()

bool vnl_rnpoly_solve::compute ( )

private

Compute roots using continuation algorithm.

Definition at line 765 of file vnl_rnpoly_solve.cxx.

imag()

std::vector<vnl_vector<double>*> vnl_rnpoly_solve::imag ( )

inline

Array of imaginary parts of roots.

Definition at line 59 of file vnl_rnpoly_solve.h.

Read_Input()

void vnl_rnpoly_solve::Read_Input ( std::vector< unsigned int > &  ideg, std::vector< unsigned int > &  terms, std::vector< int > &  polyn, std::vector< double > &  coeff  )

private

This will read the input polynomials from a data file.

Definition at line 721 of file vnl_rnpoly_solve.cxx.

real()

std::vector<vnl_vector<double>*> vnl_rnpoly_solve::real ( )

inline

Array of real parts of roots.

Definition at line 56 of file vnl_rnpoly_solve.h.

realroots()

std::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 57 of file vnl_rnpoly_solve.cxx.

Member Data Documentation

i_

std::vector<vnl_vector<double>*> vnl_rnpoly_solve::i_

private

Definition at line 39 of file vnl_rnpoly_solve.h.

ps_

std::vector<vnl_real_npolynomial*> vnl_rnpoly_solve::ps_

private

Definition at line 37 of file vnl_rnpoly_solve.h.

r_

std::vector<vnl_vector<double>*> vnl_rnpoly_solve::r_

private

Definition at line 38 of file vnl_rnpoly_solve.h.

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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