dixon.cc File Reference

computes the dixon resultant More...

#include <numeric/kinematic_closure/dixon.hh>
#include <numeric/types.hh>
#include <numeric/kinematic_closure/sturm.hh>
#include <numeric/kinematic_closure/kinematic_closure_helpers.hh>
#include <numeric/linear_algebra/GeneralizedEigenSolver.hh>
#include <utility/fixedsizearray1.hh>
#include <Eigen/Dense>
#include <cmath>
#include <iostream>

Namespaces
	numeric
	Unit headers.
	numeric::kinematic_closure

Macros
#define	PP4x2_VECSIZE   7
#define	DIXON_SIZE   8
#define	DIXON_RESULTANT_SIZE   3

Typedefs
typedef Eigen::Matrix< Real, 8, 8 >	numeric::kinematic_closure::Matrix8
typedef Eigen::Matrix< Real, 16, 16 >	numeric::kinematic_closure::Matrix16
typedef Eigen::Matrix< Real, Eigen::Dynamic, 1, 0, 16, 1 >	numeric::kinematic_closure::Vector16
using	numeric::kinematic_closure::SolverType = linear_algebra::GeneralizedEigenSolver< Matrix16 >
typedef utility::fixedsizearray1< Real, 3 >	numeric::kinematic_closure::PseudoVector
typedef utility::fixedsizearray1 < PseudoVector, 3 >	numeric::kinematic_closure::PseudoMatrix

Functions
Eigen::IOFormat	numeric::kinematic_closure::scipy (8, 0,", ",",\n","[","]","[","]")
void	numeric::kinematic_closure::point_value2 (const utility::fixedsizearray1< Real, 3 > &A, const utility::vector1< Real > &t, utility::vector1< Real > &C)
	dixon functions /// More...
void	numeric::kinematic_closure::point_value4 (const utility::vector1< Real > &A, const utility::vector1< Real > &t, utility::vector1< Real > &C)
void	numeric::kinematic_closure::point_value6 (const utility::vector1< Real > &B, const utility::vector1< Real > &t, utility::vector1< Real > &C)
void	numeric::kinematic_closure::point_value8 (const utility::vector1< Real > &A, const utility::vector1< Real > &t, utility::vector1< Real > &C)
void	numeric::kinematic_closure::point_value16 (const utility::vector1< Real > &A, const utility::vector1< Real > &t, utility::vector1< Real > &C)
void	numeric::kinematic_closure::polyProduct2x2 (const utility::fixedsizearray1< Real, 3 > &A, const utility::fixedsizearray1< Real, 3 > &B, utility::vector1< Real > &C)
void	numeric::kinematic_closure::polyProduct4x2 (const utility::vector1< Real > &A, const utility::fixedsizearray1< Real, 3 > &B, utility::vector1< Real > &C)
void	numeric::kinematic_closure::polyProduct4x4 (const utility::vector1< Real > &A, const utility::vector1< Real > &B, utility::vector1< Real > &C)
void	numeric::kinematic_closure::polyProduct4sq (const utility::vector1< Real > &A, utility::vector1< Real > &C)
void	numeric::kinematic_closure::polyProduct6x6 (const utility::vector1< Real > &A, const utility::vector1< Real > &B, utility::vector1< Real > &C)
void	numeric::kinematic_closure::polyProduct12x4 (const utility::vector1< Real > &A, const utility::vector1< Real > &B, utility::vector1< Real > &C)
void	numeric::kinematic_closure::polyProduct8x8 (const utility::vector1< Real > &A, const utility::vector1< Real > &B, utility::vector1< Real > &C)
void	numeric::kinematic_closure::polyProduct8sq (const utility::vector1< Real > &A, utility::vector1< Real > &C)
void	numeric::kinematic_closure::vectorDiff (const utility::vector1< Real > &A, const utility::vector1< Real > &B, utility::vector1< Real > &C)
void	numeric::kinematic_closure::dixonResultant (const utility::vector1< utility::vector1< Real > > &A, const utility::vector1< utility::vector1< Real > > &B, const utility::vector1< utility::vector1< Real > > &C, const utility::vector1< utility::vector1< Real > > &D, utility::vector1< utility::vector1< utility::vector1< Real > > > &R)
void	numeric::kinematic_closure::build_dixon_matrices (PseudoMatrix const &A, PseudoMatrix const &B, PseudoMatrix const &C, PseudoMatrix const &D, Matrix8 &R0, Matrix8 &R1, Matrix8 &R2)
void	numeric::kinematic_closure::build_sin_and_cos (utility::vector1< PseudoVector > const &u, utility::vector1< PseudoVector > &sin, utility::vector1< PseudoVector > &cos)
void	numeric::kinematic_closure::dixon_eig (PseudoMatrix const &A, PseudoMatrix const &B, PseudoMatrix const &C, PseudoMatrix const &D, vector1< int > const &, utility::vector1< utility::fixedsizearray1< Real, 3 > > &cos, utility::vector1< utility::fixedsizearray1< Real, 3 > > &sin, utility::vector1< utility::fixedsizearray1< Real, 3 > > &u, int &num_solutions)
void	numeric::kinematic_closure::dixon_sturm (const utility::fixedsizearray1< utility::fixedsizearray1< Real, 3 >, 3 > &A, const utility::fixedsizearray1< utility::fixedsizearray1< Real, 3 >, 3 > &B, const utility::fixedsizearray1< utility::fixedsizearray1< Real, 3 >, 3 > &C, const utility::fixedsizearray1< utility::fixedsizearray1< Real, 3 >, 3 > &D, const utility::vector1< int > &order, utility::vector1< utility::fixedsizearray1< Real, 3 > > &cos, utility::vector1< utility::fixedsizearray1< Real, 3 > > &sin, utility::vector1< utility::fixedsizearray1< Real, 3 > > &tau, int &nsol)
void	numeric::kinematic_closure::test_point_value2 ()
void	numeric::kinematic_closure::test_polyProduct6x6 ()
void	numeric::kinematic_closure::test_polyProduct4sq ()
void	numeric::kinematic_closure::test_polyProduct4x4 ()
void	numeric::kinematic_closure::test_polyProduct4x2 ()
void	numeric::kinematic_closure::test_polyProduct2x2 ()
void	numeric::kinematic_closure::test_dixon ()

Variables
string	numeric::kinematic_closure::skipl = "\n\n"

Detailed Description

computes the dixon resultant

Author

Evangelos A. Coutsias

Daniel J. Mandell

Macro Definition Documentation

#define DIXON_RESULTANT_SIZE   3

Referenced by numeric::kinematic_closure::dixonResultant().

#define DIXON_SIZE   8

Referenced by numeric::kinematic_closure::dixonResultant().

#define PP4x2_VECSIZE   7

Referenced by numeric::kinematic_closure::dixon_sturm(), and numeric::kinematic_closure::polyProduct2x2().