capd::diffAlgebra::C2Curve< BaseCurveT, true > Class Template Reference

#include <capd/diffAlgebra/C2Curve.h>

Public Types
typedef BaseCurveT::HessianType	HessianType
typedef BaseCurveT::MatrixType	MatrixType
typedef MatrixType::RowVectorType	VectorType
typedef MatrixType::ScalarType	ScalarType
typedef TypeTraits< ScalarType >::Real	Real
typedef __size_type	size_type
typedef __difference_type	difference_type
typedef Jet< MatrixType, 0 >	JetType

Public Member Functions
	C2Curve (Real left, Real right, size_type dimension, size_type order, size_type degree)
HessianType	hessian (const ScalarType &h) const
void	setInitHessian (const HessianType &H)
VectorType	timeDerivative (const ScalarType &h) const
VectorType	operator() (const ScalarType &h) const
MatrixType	derivative (const ScalarType &h) const
MatrixType	operator[] (const ScalarType &h) const
void	setInitMatrix (const MatrixType &M)
MatrixType	oneStepDerivative (const ScalarType &h) const
MatrixType	oneStepDerivativeOfNumericalMethod (const ScalarType &h) const
VectorType	valueAtCenter (const ScalarType &h) const
VectorType	remainder (const ScalarType &h) const
VectorType	getCenter () const
virtual JetType	jet (const ScalarType &) const
virtual void	eval (ScalarType, JetType &) const
virtual void	setDomain (Real left, Real right)
virtual Real	getLeftDomain () const
virtual Real	getRightDomain () const

Protected Member Functions
HessianType	oneStepHessian (const ScalarType &h) const

Protected Attributes
HessianType	initHessian
MatrixType	initMatrix
Real	m_left
Real	m_right
	domain More...

Member Typedef Documentation

difference_type

template<class BaseCurveT >

typedef __difference_type capd::diffAlgebra::C2Curve< BaseCurveT, true >::difference_type

HessianType

template<class BaseCurveT >

typedef BaseCurveT::HessianType capd::diffAlgebra::C2Curve< BaseCurveT, true >::HessianType

JetType

template<class BaseCurveT >

typedef Jet<MatrixType,0> capd::diffAlgebra::Curve< BaseCurveT, true >::JetType

inherited

MatrixType

template<class BaseCurveT >

typedef BaseCurveT::MatrixType capd::diffAlgebra::C2Curve< BaseCurveT, true >::MatrixType

Real

template<class BaseCurveT >

typedef TypeTraits<ScalarType>::Real capd::diffAlgebra::C2Curve< BaseCurveT, true >::Real

ScalarType

template<class BaseCurveT >

typedef MatrixType::ScalarType capd::diffAlgebra::C2Curve< BaseCurveT, true >::ScalarType

size_type

template<class BaseCurveT >

typedef __size_type capd::diffAlgebra::C2Curve< BaseCurveT, true >::size_type

VectorType

template<class BaseCurveT >

typedef MatrixType::RowVectorType capd::diffAlgebra::C2Curve< BaseCurveT, true >::VectorType

Constructor & Destructor Documentation

C2Curve()

template<class BaseCurveT >

capd::diffAlgebra::C2Curve< BaseCurveT, true >::C2Curve ( Real  left, Real  right, size_type  dimension, size_type  order, size_type  degree  )

inline

Member Function Documentation

derivative()

template<class BaseCurveT >

MatrixType capd::diffAlgebra::Curve< BaseCurveT, true >::derivative ( const ScalarType &  h ) const

inlinevirtualinherited

Implements capd::diffAlgebra::ParametricCurve< BaseCurveT::MatrixType >.

eval()

virtual void capd::diffAlgebra::ParametricCurve< BaseCurveT::MatrixType , typename MatrixT::RowVectorType >::eval ( ScalarType  , JetType &    ) const

inlinevirtualinherited

Reimplemented in capd::diffAlgebra::CnCurve< BaseCurveT, isInterval >, capd::diffAlgebra::CnCurve< capd::diffAlgebra::BasicCnCurve< typename MapT::MatrixType > >, and capd::diffAlgebra::CnCurve< BaseCurveT, true >.

getCenter()

template<class BaseCurveT >

Curve< BaseCurveT, true >::VectorType capd::diffAlgebra::Curve< BaseCurveT, true >::getCenter

inherited

getLeftDomain()

ParametricCurve< BaseCurveT::MatrixType , typename MatrixT::RowVectorType >::Real capd::diffAlgebra::ParametricCurve< BaseCurveT::MatrixType , typename MatrixT::RowVectorType >::getLeftDomain

inlinevirtualinherited

getRightDomain()

ParametricCurve< BaseCurveT::MatrixType , typename MatrixT::RowVectorType >::Real capd::diffAlgebra::ParametricCurve< BaseCurveT::MatrixType , typename MatrixT::RowVectorType >::getRightDomain

inlinevirtualinherited

hessian()

template<class BaseCurveT >

HessianType capd::diffAlgebra::C2Curve< BaseCurveT, true >::hessian ( const ScalarType &  h ) const

inlinevirtual

Reimplemented from capd::diffAlgebra::ParametricCurve< BaseCurveT::MatrixType >.

jet()

virtual JetType capd::diffAlgebra::ParametricCurve< BaseCurveT::MatrixType , typename MatrixT::RowVectorType >::jet ( const ScalarType &  ) const

inlinevirtualinherited

Reimplemented in capd::diffAlgebra::CnCurve< BaseCurveT, isInterval >, capd::diffAlgebra::CnCurve< capd::diffAlgebra::BasicCnCurve< typename MapT::MatrixType > >, and capd::diffAlgebra::CnCurve< BaseCurveT, true >.

oneStepDerivative()

template<class BaseCurveT >

Curve< BaseCurveT, true >::MatrixType capd::diffAlgebra::Curve< BaseCurveT, true >::oneStepDerivative ( const ScalarType &  h ) const

inherited

oneStepDerivativeOfNumericalMethod()

template<class BaseCurveT >

Curve< BaseCurveT, true >::MatrixType capd::diffAlgebra::Curve< BaseCurveT, true >::oneStepDerivativeOfNumericalMethod ( const ScalarType &  h ) const

inherited

operator()()

template<class BaseCurveT >

Curve< BaseCurveT, true >::VectorType capd::diffAlgebra::Curve< BaseCurveT, true >::operator() ( const ScalarType &  h ) const

virtualinherited

Implements capd::diffAlgebra::ParametricCurve< BaseCurveT::MatrixType >.

operator[]()

template<class BaseCurveT >

MatrixType capd::diffAlgebra::Curve< BaseCurveT, true >::operator[] ( const ScalarType &  h ) const

inlinevirtualinherited

Implements capd::diffAlgebra::ParametricCurve< BaseCurveT::MatrixType >.

remainder()

template<class BaseCurveT >

Curve< BaseCurveT, true >::VectorType capd::diffAlgebra::Curve< BaseCurveT, true >::remainder ( const ScalarType &  h ) const

inherited

setDomain()

void capd::diffAlgebra::ParametricCurve< BaseCurveT::MatrixType , typename MatrixT::RowVectorType >::setDomain ( Real  left, Real  right  )

inlinevirtualinherited

setInitHessian()

template<class BaseCurveT >

void capd::diffAlgebra::C2Curve< BaseCurveT, true >::setInitHessian ( const HessianType &  H )

inline

setInitMatrix()

template<class BaseCurveT >

void capd::diffAlgebra::Curve< BaseCurveT, true >::setInitMatrix ( const MatrixType &  M )

inlineinherited

timeDerivative()

template<class BaseCurveT >

Curve< BaseCurveT, true >::VectorType capd::diffAlgebra::Curve< BaseCurveT, true >::timeDerivative ( const ScalarType &  h ) const

inherited

valueAtCenter()

template<class BaseCurveT >

Curve< BaseCurveT, true >::VectorType capd::diffAlgebra::Curve< BaseCurveT, true >::valueAtCenter ( const ScalarType &  h ) const

inherited

Member Data Documentation

initHessian

template<class BaseCurveT >

HessianType capd::diffAlgebra::C2Curve< BaseCurveT, true >::initHessian

protected

initMatrix

template<class BaseCurveT >

MatrixType capd::diffAlgebra::Curve< BaseCurveT, true >::initMatrix

protectedinherited

m_left

Real capd::diffAlgebra::ParametricCurve< BaseCurveT::MatrixType , typename MatrixT::RowVectorType >::m_left

protectedinherited

m_right

Real capd::diffAlgebra::ParametricCurve< BaseCurveT::MatrixType , typename MatrixT::RowVectorType >::m_right

protectedinherited

domain