planarMaps.hpp File Reference

#include <cmath>
#include "capd/intervals/Interval.h"
#include "capd/normalForms/normalForms.h"
#include "capd/diffAlgebra/Jet.hpp"

Namespaces
	capd
	capd::normalForms

Functions
template<class Scalar >
Scalar	takePhiByTwo ()
template<>
double	takePhiByTwo< double > ()
template<typename ScalarType >
std::complex< ScalarType >	Power (std::complex< ScalarType > x, int n)
template<typename ScalarType >
std::complex< ScalarType >	Sqr (std::complex< ScalarType > x)
template<typename ScalarType >
std::complex< ScalarType >	pow3 (std::complex< ScalarType > x)
template<typename ScalarType >
std::complex< ScalarType >	operator* (int a, const std::complex< ScalarType > &c)
template<typename ScalarType >
std::complex< ScalarType >	operator/ (const std::complex< ScalarType > &c, int a)
template<typename ScalarType >
std::complex< ScalarType >	operator+ (int a, const std::complex< ScalarType > &c)
template<typename ScalarType >
std::complex< ScalarType >	operator- (int a, const std::complex< ScalarType > &c)
template<typename T >
bool	capd::normalForms::checkLambda (std::complex< T > lambda)
template<typename T_Bound , typename T_Rnd >
std::complex< capd::intervals::Interval< T_Bound, T_Rnd > >	capd::normalForms::operator/ (const std::complex< capd::intervals::Interval< T_Bound, T_Rnd > > &x, const std::complex< capd::intervals::Interval< T_Bound, T_Rnd > > &y)
template<typename T_Bound , typename T_Rnd >
std::complex< capd::intervals::Interval< T_Bound, T_Rnd > >	capd::normalForms::operator/ (const std::complex< capd::intervals::Interval< T_Bound, T_Rnd > > &x, int y)
template<typename ScalarType >
void	capd::normalForms::computeEigensystem (const capd::vectalg::Matrix< ScalarType, 2, 2 > &c, capd::vectalg::Matrix< std::complex< ScalarType >, 2, 2 > &eigenvectors, capd::vectalg::Vector< std::complex< ScalarType >, 2 > &eigenvalues)
template<typename ScalarType , unsigned DEGREE>
capd::diffAlgebra::Jet< capd::vectalg::Matrix< std::complex< ScalarType >, 2, 2 >, DEGREE >	capd::normalForms::planarLinearSubstitution (const capd::diffAlgebra::Jet< capd::vectalg::Matrix< ScalarType, 2, 2 >, DEGREE > &s)
template<typename ScalarType , unsigned DEGREE>
std::complex< ScalarType > &	capd::normalForms::takeCoeff (capd::diffAlgebra::Jet< capd::vectalg::Matrix< std::complex< ScalarType >, 2, 2 >, DEGREE > &s, int i, int j, int k)
template<typename ScalarType , unsigned DEGREE>
capd::vectalg::Vector< std::complex< ScalarType >, 0 >	capd::normalForms::computePlanarEllipticNormalForm (capd::diffAlgebra::Jet< capd::vectalg::Matrix< ScalarType, 2, 2 >, DEGREE > &c)
template<typename ScalarType >
capd::vectalg::Vector< std::complex< ScalarType >, 0 >	capd::normalForms::computePlanarEllipticNormalForm (capd::diffAlgebra::Jet< capd::vectalg::Matrix< ScalarType, 0, 0 >, 0 > &c)

Detailed Description

Author

Daniel Wilczak