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capd::diffAlgebra::BasicCurve< MatrixT > Class Template Reference
DiffAlgebra

This class is a data structure for storing of a parametric curve together with first order derivatives with respect to initial point. More...

#include <capd/diffAlgebra/BasicCurve.h>

Public Types

typedef MatrixT 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 VectorType::iterator iterator
 
typedef VectorType::const_iterator const_iterator
 
typedef Hessian< ScalarType, VectorType::csDim, VectorType::csDim > HessianType
 
typedef Jet< MatrixType, 0 > JetType
 

Public Member Functions

 BasicCurve (size_type dimension, size_type order, size_type degree)
 
 BasicCurve (const BasicCurve &c)
 
virtual ~BasicCurve ()
 
BasicCurve & operator= (const BasicCurve &c)
 
virtual void setOrder (size_type order)
 Sets the order of Taylor interpolation. More...
 
size_type getOrder () const
 Returns the order of Taylor interpolation. More...
 
size_type getAllocatedOrder () const
 Returns maximal allocated order - used to avoid memory reallocation. More...
 
size_type dimension () const
 Returns the dimension in which the parametric curve is embedded. More...
 
void clearCoefficients ()
 sets all coefficients to zero More...
 
const ScalarType & centerCoefficient (size_type i, size_type j) const
 
const ScalarType & coefficient (size_type i, size_type j) const
 
const ScalarType & remainderCoefficient (size_type i, size_type j) const
 
const ScalarType & coefficient (size_type i, size_type j, size_type k) const
 
const ScalarType & remainderCoefficient (size_type i, size_type j, size_type k) const
 
ScalarType & centerCoefficient (size_type i, size_type j)
 
ScalarType & coefficient (size_type i, size_type j)
 
ScalarType & remainderCoefficient (size_type i, size_type j)
 
ScalarType & coefficient (size_type i, size_type j, size_type k)
 
ScalarType & remainderCoefficient (size_type i, size_type j, size_type k)
 
const VectorType * getCoefficientsAtCenter () const
 
const VectorType * getCoefficients () const
 
const VectorType * getRemainderCoefficients () const
 
const MatrixType * getMatrixCoefficients () const
 
const MatrixType * getMatrixRemainderCoefficients () const
 
VectorType * getCoefficientsAtCenter ()
 
VectorType * getCoefficients ()
 
VectorType * getRemainderCoefficients ()
 
MatrixType * getMatrixCoefficients ()
 
MatrixType * getMatrixRemainderCoefficients ()
 
iterator beginCenterCoefficients (size_type j)
 
iterator beginCoefficients (size_type j)
 
iterator beginRemainderCoefficients (size_type j)
 
iterator beginMatrixCoefficients (size_type j)
 
iterator beginMatrixRemainderCoefficients (size_type j)
 
iterator endCenterCoefficients (size_type j)
 
iterator endCoefficients (size_type j)
 
iterator endRemainderCoefficients (size_type j)
 
iterator endMatrixCoefficients (size_type j)
 
iterator endMatrixRemainderCoefficients (size_type j)
 
const_iterator beginCenterCoefficients (size_type j) const
 
const_iterator beginCoefficients (size_type j) const
 
const_iterator beginRemainderCoefficients (size_type j) const
 
const_iterator beginMatrixCoefficients (size_type j) const
 
const_iterator beginMatrixRemainderCoefficients (size_type j) const
 
const_iterator endCenterCoefficients (size_type j) const
 
const_iterator endCoefficients (size_type j) const
 
const_iterator endRemainderCoefficients (size_type j) const
 
const_iterator endMatrixCoefficients (size_type j) const
 
const_iterator endMatrixRemainderCoefficients (size_type j) const
 
void setInitMatrix (const MatrixType &)
 
void setInitHessian (const HessianType &)
 
void setInitJet (const JetType &)
 
std::runtime_error domainErrorMessage (std::string msg, ScalarType h, Real left, Real right) const
 

Protected Member Functions

void allocate ()
 
void deallocate ()
 
void copyData (const BasicCurve &c)
 

Protected Attributes

VectorType * m_coefficientsAtCenter
 
VectorType * m_coefficients
 
VectorType * m_remainderCoefficients
 
MatrixType * m_matrixCoefficients
 
MatrixType * m_matrixRemainderCoefficients
 
size_type m_order
 
size_type m_allocatedOrder
 
size_type m_dimension
 

Detailed Description

template<class MatrixT>
class capd::diffAlgebra::BasicCurve< MatrixT >

This class is a data structure for storing of a parametric curve together with first order derivatives with respect to initial point.

More precisely, a curve c(t,x) is represented as c(t,x_0) + d/dx c(t,x)(x-x_0) + smallRemainder(t,x)

This class provides a member functions for accessing of all coefficients.

This class is a basic class for more general Curve.

Member Typedef Documentation

◆ const_iterator

template<class MatrixT >
typedef VectorType::const_iterator capd::diffAlgebra::BasicCurve< MatrixT >::const_iterator

◆ difference_type

template<class MatrixT >
typedef __difference_type capd::diffAlgebra::BasicCurve< MatrixT >::difference_type

◆ HessianType

template<class MatrixT >
typedef Hessian<ScalarType,VectorType::csDim,VectorType::csDim> capd::diffAlgebra::CurveInterface< MatrixT >::HessianType
inherited

◆ iterator

template<class MatrixT >
typedef VectorType::iterator capd::diffAlgebra::BasicCurve< MatrixT >::iterator

◆ JetType

template<class MatrixT >
typedef Jet<MatrixType,0> capd::diffAlgebra::CurveInterface< MatrixT >::JetType
inherited

◆ MatrixType

template<class MatrixT >
typedef MatrixT capd::diffAlgebra::BasicCurve< MatrixT >::MatrixType

◆ Real

template<class MatrixT >
typedef TypeTraits<ScalarType>::Real capd::diffAlgebra::BasicCurve< MatrixT >::Real

◆ ScalarType

template<class MatrixT >
typedef MatrixType::ScalarType capd::diffAlgebra::BasicCurve< MatrixT >::ScalarType

◆ size_type

template<class MatrixT >
typedef __size_type capd::diffAlgebra::BasicCurve< MatrixT >::size_type

◆ VectorType

template<class MatrixT >
typedef MatrixType::RowVectorType capd::diffAlgebra::BasicCurve< MatrixT >::VectorType

Member Function Documentation

◆ beginCenterCoefficients() [1/2]

template<class MatrixT >
iterator capd::diffAlgebra::BasicCurve< MatrixT >::beginCenterCoefficients ( size_type  j)
inline

◆ beginCenterCoefficients() [2/2]

template<class MatrixT >
const_iterator capd::diffAlgebra::BasicCurve< MatrixT >::beginCenterCoefficients ( size_type  j) const
inline

◆ beginCoefficients() [1/2]

template<class MatrixT >
iterator capd::diffAlgebra::BasicCurve< MatrixT >::beginCoefficients ( size_type  j)
inline

◆ beginCoefficients() [2/2]

template<class MatrixT >
const_iterator capd::diffAlgebra::BasicCurve< MatrixT >::beginCoefficients ( size_type  j) const
inline

◆ beginMatrixCoefficients() [1/2]

template<class MatrixT >
iterator capd::diffAlgebra::BasicCurve< MatrixT >::beginMatrixCoefficients ( size_type  j)
inline

◆ beginMatrixCoefficients() [2/2]

template<class MatrixT >
const_iterator capd::diffAlgebra::BasicCurve< MatrixT >::beginMatrixCoefficients ( size_type  j) const
inline

◆ beginMatrixRemainderCoefficients() [1/2]

template<class MatrixT >
iterator capd::diffAlgebra::BasicCurve< MatrixT >::beginMatrixRemainderCoefficients ( size_type  j)
inline

◆ beginMatrixRemainderCoefficients() [2/2]

template<class MatrixT >
const_iterator capd::diffAlgebra::BasicCurve< MatrixT >::beginMatrixRemainderCoefficients ( size_type  j) const
inline

◆ beginRemainderCoefficients() [1/2]

template<class MatrixT >
iterator capd::diffAlgebra::BasicCurve< MatrixT >::beginRemainderCoefficients ( size_type  j)
inline

◆ beginRemainderCoefficients() [2/2]

template<class MatrixT >
const_iterator capd::diffAlgebra::BasicCurve< MatrixT >::beginRemainderCoefficients ( size_type  j) const
inline

◆ domainErrorMessage()

template<class MatrixT >
std::runtime_error capd::diffAlgebra::CurveInterface< MatrixT >::domainErrorMessage ( std::string  msg,
ScalarType  h,
Real  left,
Real  right 
) const
inlineinherited

◆ endCenterCoefficients() [1/2]

template<class MatrixT >
iterator capd::diffAlgebra::BasicCurve< MatrixT >::endCenterCoefficients ( size_type  j)
inline

◆ endCenterCoefficients() [2/2]

template<class MatrixT >
const_iterator capd::diffAlgebra::BasicCurve< MatrixT >::endCenterCoefficients ( size_type  j) const
inline

◆ endCoefficients() [1/2]

template<class MatrixT >
iterator capd::diffAlgebra::BasicCurve< MatrixT >::endCoefficients ( size_type  j)
inline

◆ endCoefficients() [2/2]

template<class MatrixT >
const_iterator capd::diffAlgebra::BasicCurve< MatrixT >::endCoefficients ( size_type  j) const
inline

◆ endMatrixCoefficients() [1/2]

template<class MatrixT >
iterator capd::diffAlgebra::BasicCurve< MatrixT >::endMatrixCoefficients ( size_type  j)
inline

◆ endMatrixCoefficients() [2/2]

template<class MatrixT >
const_iterator capd::diffAlgebra::BasicCurve< MatrixT >::endMatrixCoefficients ( size_type  j) const
inline

◆ endMatrixRemainderCoefficients() [1/2]

template<class MatrixT >
iterator capd::diffAlgebra::BasicCurve< MatrixT >::endMatrixRemainderCoefficients ( size_type  j)
inline

◆ endMatrixRemainderCoefficients() [2/2]

template<class MatrixT >
const_iterator capd::diffAlgebra::BasicCurve< MatrixT >::endMatrixRemainderCoefficients ( size_type  j) const
inline

◆ endRemainderCoefficients() [1/2]

template<class MatrixT >
iterator capd::diffAlgebra::BasicCurve< MatrixT >::endRemainderCoefficients ( size_type  j)
inline

◆ endRemainderCoefficients() [2/2]

template<class MatrixT >
const_iterator capd::diffAlgebra::BasicCurve< MatrixT >::endRemainderCoefficients ( size_type  j) const
inline

◆ getCoefficients()

template<class MatrixT >
VectorType* capd::diffAlgebra::BasicCurve< MatrixT >::getCoefficients ( )

◆ getCoefficientsAtCenter()

template<class MatrixT >
VectorType* capd::diffAlgebra::BasicCurve< MatrixT >::getCoefficientsAtCenter ( )

◆ getMatrixCoefficients()

template<class MatrixT >
MatrixType* capd::diffAlgebra::BasicCurve< MatrixT >::getMatrixCoefficients ( )

◆ getMatrixRemainderCoefficients()

template<class MatrixT >
MatrixType* capd::diffAlgebra::BasicCurve< MatrixT >::getMatrixRemainderCoefficients ( )

◆ getRemainderCoefficients()

template<class MatrixT >
VectorType* capd::diffAlgebra::BasicCurve< MatrixT >::getRemainderCoefficients ( )

◆ setInitHessian()

template<class MatrixT >
void capd::diffAlgebra::CurveInterface< MatrixT >::setInitHessian ( const HessianType &  )
inlineinherited

◆ setInitJet()

template<class MatrixT >
void capd::diffAlgebra::CurveInterface< MatrixT >::setInitJet ( const JetType &  )
inlineinherited

◆ setInitMatrix()

template<class MatrixT >
void capd::diffAlgebra::CurveInterface< MatrixT >::setInitMatrix ( const MatrixType &  )
inlineinherited

Member Data Documentation

◆ m_allocatedOrder

template<class MatrixT >
size_type capd::diffAlgebra::BasicCurve< MatrixT >::m_allocatedOrder
protected

◆ m_coefficients

template<class MatrixT >
VectorType* capd::diffAlgebra::BasicCurve< MatrixT >::m_coefficients
protected

◆ m_coefficientsAtCenter

template<class MatrixT >
VectorType* capd::diffAlgebra::BasicCurve< MatrixT >::m_coefficientsAtCenter
protected

◆ m_dimension

template<class MatrixT >
size_type capd::diffAlgebra::BasicCurve< MatrixT >::m_dimension
protected

◆ m_matrixCoefficients

template<class MatrixT >
MatrixType* capd::diffAlgebra::BasicCurve< MatrixT >::m_matrixCoefficients
protected

◆ m_matrixRemainderCoefficients

template<class MatrixT >
MatrixType* capd::diffAlgebra::BasicCurve< MatrixT >::m_matrixRemainderCoefficients
protected

◆ m_order

template<class MatrixT >
size_type capd::diffAlgebra::BasicCurve< MatrixT >::m_order
protected

◆ m_remainderCoefficients

template<class MatrixT >
VectorType* capd::diffAlgebra::BasicCurve< MatrixT >::m_remainderCoefficients
protected