Truncate power series map. More...

#include <VpsMap.h>

Inheritance diagram for VpsMap< T >:

Collaboration diagram for VpsMap< T >:

Public Member Functions
	VpsMap (int nDim, int nVar)
	Constructor.
	VpsMap (const Vps< T > &rhs)
	Convert.
	VpsMap (int nDim, const Tps< T > rhs[])
	Constructor.
	VpsMap (const Matrix< T > &M)
	Convert.
	VpsMap (const Vector< T > &V)
	Convert.
	VpsMap ()
	VpsMap (const VpsMap< T > &rhs)
	~VpsMap ()
VpsMap< T > &	operator= (const VpsMap< T > &y)
VpsMap< T >	substitute (const VpsMap< T > &vv) const
	Substitute.
VpsMap< T >	substitute (const Matrix< T > &M) const
	Substitute.
VpsMap< T >	substitute (const VpsMap< T > &y, int trunc) const
	Substitute and truncate.
VpsMap< T >	substituteInto (const Matrix< T > &x) const
	Substitute.
Vector< T >	constantTerm (const Vector< T > &y) const
	Evaluate map at point.
Vector< T >	constantTerm () const
	Evaluate map at origin.
Matrix< T >	linearTerms (const Vector< T > &y) const
	Extract linear terms at point.
Matrix< T >	linearTerms () const
	Extract linear terms at origin.
VpsMap< T >	derivative (int var) const
	Derivative with respect to variable [b]var[/b].
VpsMap< T >	integral (int var) const
	Integral with respect to variable [b]var[/b].
const Tps< T > &	getComponent (int index) const
	Get component.
void	setComponent (int index, const Tps< T > &value)
	Set component.
Tps< T > &	operator[] (int index)
	Get component.
const Tps< T > &	operator[] (int index) const
	Set component.
void	check () const
	Check consistency.
Vps< T >	operator+ () const
	Unary plus.
Vps< T >	operator- () const
	Unary minus.
Vps< T > &	operator*= (const Tps< T > &y)
	Multiply by Tps<T> and assign.
Vps< T > &	operator*= (const T &y)
	Multiply by constant and assign.
Vps< T > &	operator/= (const Tps< T > &y)
	Divide by Tps<T> and assign.
Vps< T > &	operator/= (const T &y)
	Divide by constant and assign.
Vps< T > &	operator+= (const Vps< T > &y)
	Addition.
Vps< T > &	operator+= (const Vector< T > &y)
	Add and assign.
Vps< T > &	operator-= (const Vps< T > &y)
	Subtraction.
Vps< T > &	operator-= (const Vector< T > &y)
	Subtract and assign.
std::istream &	get (std::istream &is)
	Get a Vps<T> from stream is.
std::ostream &	put (std::ostream &os) const
	Put a Vps<T> to stream os.
int	getDimension () const
	Get dimension (number of Tps<T> components).
int	getTopOrder () const
	Get highest order contained in any component.
int	getTruncOrder () const
	Get lowest truncation order in any component.
int	getVariables () const
	Get number of variables (the same in all components).
Vps< T >	filter (int lowOrder, int highOrder) const
	Extract range of orders, set others to zero.
Vps< T >	truncate (int trunc)
	Truncate, may also increase truncation order.

Protected Attributes
Array1D< Tps< T > >	data
int	variables

Detailed Description

template<class T>
class VpsMap< T >

Truncate power series map.

Definition at line 43 of file VpsMap.h.

Constructor & Destructor Documentation

◆ VpsMap() [1/7]

template<class T>

VpsMap< T >::VpsMap	(	int	nDim,
		int	nVar )

inline

Constructor.

Definition at line 173 of file VpsMap.h.

References Vps< T >::Vps().

Referenced by derivative(), integral(), operator=(), substitute(), substitute(), substitute(), substituteInto(), and VpsMap().

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◆ VpsMap() [2/7]

template<class T>

VpsMap< T >::VpsMap ( const Vps< T > & rhs )

inline

Convert.

Definition at line 185 of file VpsMap.h.

References Vps< T >::Vps().

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◆ VpsMap() [3/7]

template<class T>

VpsMap< T >::VpsMap	(	int	nDim,
		const Tps< T >	rhs[] )

inline

Constructor.

Definition at line 191 of file VpsMap.h.

References Vps< T >::Vps().

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◆ VpsMap() [4/7]

template<class T>

VpsMap< T >::VpsMap ( const Matrix< T > & M )

inline

Convert.

Definition at line 197 of file VpsMap.h.

References Vps< T >::Vps().

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◆ VpsMap() [5/7]

template<class T>

VpsMap< T >::VpsMap ( const Vector< T > & V )

inline

Convert.

Definition at line 203 of file VpsMap.h.

References Vps< T >::Vps().

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◆ VpsMap() [6/7]

template<class T>

VpsMap< T >::VpsMap ( )

inline

Definition at line 167 of file VpsMap.h.

References Vps< T >::Vps().

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◆ VpsMap() [7/7]

template<class T>

VpsMap< T >::VpsMap ( const VpsMap< T > & rhs )

inline

Definition at line 179 of file VpsMap.h.

References Vps< T >::Vps(), and VpsMap().

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◆ ~VpsMap()

template<class T>

VpsMap< T >::~VpsMap ( )

inline

Definition at line 209 of file VpsMap.h.

Member Function Documentation

◆ check()

template<class T>

void Vps< T >::check ( ) const

inherited

Check consistency.

Definition at line 108 of file Vps.hpp.

References data, and variables.

Referenced by filter(), get(), getVariables(), setComponent(), VpsMap< T >::substitute(), and truncate().

◆ constantTerm() [1/2]

template<class T>

Vector< T > VpsMap< T >::constantTerm ( ) const

Evaluate map at origin.

Definition at line 266 of file VpsMap.h.

References Vps< T >::data, and Vps< T >::getDimension().

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◆ constantTerm() [2/2]

template<class T>

Vector< T > VpsMap< T >::constantTerm ( const Vector< T > & y ) const

Evaluate map at point.

Definition at line 233 of file VpsMap.h.

References constantTerm(), Vps< T >::data, Vps< T >::getDimension(), TpsData::getSubTable(), Vps< T >::getTopOrder(), TpsData::getTpsData(), Vps< T >::getVariables(), TpsSubstitution::index, TpsSubstitution::order, Array1D< T >::size(), TpsSubstitution::skip, and TpsSubstitution::variable.

Referenced by constantTerm(), and substitute().

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◆ derivative()

template<class T>

VpsMap< T > VpsMap< T >::derivative ( int var ) const

Derivative with respect to variable [b]var[/b].

Definition at line 302 of file VpsMap.h.

References Vps< T >::data, Vps< T >::getDimension(), Vps< T >::getVariables(), and VpsMap().

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◆ filter()

template<class T>

Vps< T > Vps< T >::filter	(	int	lowOrder,
		int	highOrder ) const

inherited

Extract range of orders, set others to zero.

Definition at line 286 of file Vps.hpp.

References check(), data, getDimension(), variables, and Vps().

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◆ get()

template<class T>

std::istream & Vps< T >::get ( std::istream & is )

inherited

Get a Vps<T> from stream is.

Definition at line 213 of file Vps.hpp.

References check(), data, and Vps().

Referenced by operator>>(), and operator>>().

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◆ getComponent()

template<class T>

const Tps< T > & Vps< T >::getComponent ( int index ) const

inherited

Get component.

Definition at line 92 of file Vps.hpp.

References data.

◆ getDimension()

template<class T>

int Vps< T >::getDimension ( ) const

inherited

Get dimension (number of Tps<T> components).

Definition at line 247 of file Vps.hpp.

References data.

Referenced by VpsMap< T >::constantTerm(), VpsMap< T >::constantTerm(), VpsMap< T >::derivative(), filter(), VpsMap< T >::integral(), VpsMap< T >::linearTerms(), VpsMap< T >::linearTerms(), operator*=(), operator*=(), operator+=(), operator+=(), operator-(), operator-=(), operator-=(), operator/=(), operator/=(), put(), Tps< T >::substitute(), VpsMap< T >::substitute(), VpsMap< T >::substituteInto(), and truncate().

◆ getTopOrder()

template<class T>

int Vps< T >::getTopOrder ( ) const

inherited

Get highest order contained in any component.

Definition at line 253 of file Vps.hpp.

References data, FTpsData< N >::topOrder, and Tps< T >::getMaxOrder().

Referenced by VpsMap< T >::constantTerm(), and VpsMap< T >::substitute().

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◆ getTruncOrder()

template<class T>

int Vps< T >::getTruncOrder ( ) const

inherited

Get lowest truncation order in any component.

Definition at line 266 of file Vps.hpp.

References data, Tps< T >::getTruncOrder(), and Tps< T >::truncOrder.

Referenced by VpsMap< T >::substitute(), and VpsMap< T >::substitute().

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◆ getVariables()

template<class T>

int Vps< T >::getVariables ( ) const

inherited

Get number of variables (the same in all components).

Definition at line 279 of file Vps.hpp.

References check(), and variables.

Referenced by VpsMap< T >::constantTerm(), VpsMap< T >::derivative(), VpsMap< T >::integral(), VpsMap< T >::linearTerms(), VpsMap< T >::linearTerms(), and VpsMap< T >::substitute().

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◆ integral()

template<class T>

VpsMap< T > VpsMap< T >::integral ( int var ) const

Integral with respect to variable [b]var[/b].

Definition at line 314 of file VpsMap.h.

References Vps< T >::data, Vps< T >::getDimension(), Vps< T >::getVariables(), and VpsMap().

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◆ linearTerms() [1/2]

template<class T>

Matrix< T > VpsMap< T >::linearTerms ( ) const

Extract linear terms at origin.

Definition at line 288 of file VpsMap.h.

References Vps< T >::data, Vps< T >::getDimension(), and Vps< T >::getVariables().

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◆ linearTerms() [2/2]

template<class T>

Matrix< T > VpsMap< T >::linearTerms ( const Vector< T > & y ) const

Extract linear terms at point.

Definition at line 274 of file VpsMap.h.

References Vps< T >::data, Vps< T >::getDimension(), Vps< T >::getVariables(), Array2D< T >::ncols(), and Array2D< T >::nrows().

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◆ operator*=() [1/2]

template<class T>

Vps< T > & Vps< T >::operator*= ( const T & y )

inherited

Multiply by constant and assign.

Definition at line 153 of file Vps.hpp.

References data, getDimension(), and Vps().

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◆ operator*=() [2/2]

template<class T>

Vps< T > & Vps< T >::operator*= ( const Tps< T > & y )

inherited

Multiply by Tps<T> and assign.

Definition at line 138 of file Vps.hpp.

References data, getDimension(), and Vps().

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◆ operator+()

template<class T>

Vps< T > Vps< T >::operator+ ( ) const

inherited

Unary plus.

Definition at line 124 of file Vps.hpp.

References Vps().

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◆ operator+=() [1/2]

template<class T>

Vps< T > & Vps< T >::operator+= ( const Vector< T > & y )

inherited

Add and assign.

Definition at line 191 of file Vps.hpp.

References data, getDimension(), Array1D< T >::size(), and Vps().

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◆ operator+=() [2/2]

template<class T>

Vps< T > & Vps< T >::operator+= ( const Vps< T > & y )

inherited

Addition.

Definition at line 169 of file Vps.hpp.

References data, getDimension(), and Vps().

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◆ operator-()

template<class T>

Vps< T > Vps< T >::operator- ( ) const

inherited

Unary minus.

Definition at line 130 of file Vps.hpp.

References data, getDimension(), variables, and Vps().

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◆ operator-=() [1/2]

template<class T>

Vps< T > & Vps< T >::operator-= ( const Vector< T > & y )

inherited

Subtract and assign.

Definition at line 202 of file Vps.hpp.

References data, getDimension(), Array1D< T >::size(), and Vps().

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◆ operator-=() [2/2]

template<class T>

Vps< T > & Vps< T >::operator-= ( const Vps< T > & y )

inherited

Subtraction.

Definition at line 180 of file Vps.hpp.

References data, getDimension(), and Vps().

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◆ operator/=() [1/2]

template<class T>

Vps< T > & Vps< T >::operator/= ( const T & y )

inherited

Divide by constant and assign.

Definition at line 160 of file Vps.hpp.

References data, getDimension(), and Vps().

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◆ operator/=() [2/2]

template<class T>

Vps< T > & Vps< T >::operator/= ( const Tps< T > & y )

inherited

Divide by Tps<T> and assign.

Definition at line 145 of file Vps.hpp.

References data, getDimension(), Tps< T >::getGlobalTruncOrder(), Tps< T >::inverse(), and Vps().

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◆ operator=()

template<class T>

VpsMap< T > & VpsMap< T >::operator= ( const VpsMap< T > & y )

inline

Definition at line 214 of file VpsMap.h.

References Vps< T >::operator=(), and VpsMap().

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◆ operator[]() [1/2]

template<class T>

Tps< T > & Vps< T >::operator[] ( int index )

inlineinherited

Get component.

Definition at line 154 of file Vps.h.

References data.

◆ operator[]() [2/2]

template<class T>

const Tps< T > & Vps< T >::operator[] ( int index ) const

inlineinherited

Set component.

Definition at line 158 of file Vps.h.

References data.

◆ put()

template<class T>

std::ostream & Vps< T >::put ( std::ostream & os ) const

inherited

Put a Vps<T> to stream os.

Definition at line 238 of file Vps.hpp.

References data, and getDimension().

Referenced by operator<<(), and operator<<().

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◆ setComponent()

template<class T>

void Vps< T >::setComponent	(	int	index,
		const Tps< T > &	value )

inherited

Set component.

Definition at line 98 of file Vps.hpp.

References check(), data, Tps< T >::getVariables(), and variables.

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◆ substitute() [1/3]

template<class T>

VpsMap< T > VpsMap< T >::substitute ( const Matrix< T > & M ) const

inline

Substitute.

Definition at line 227 of file VpsMap.h.

References substitute(), and VpsMap().

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◆ substitute() [2/3]

template<class T>

VpsMap< T > VpsMap< T >::substitute ( const VpsMap< T > & vv ) const

inline

Substitute.

Definition at line 221 of file VpsMap.h.

References Vps< T >::getTruncOrder(), substitute(), and VpsMap().

Referenced by substitute(), and substitute().

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◆ substitute() [3/3]

template<class T>

VpsMap< T > VpsMap< T >::substitute	(	const VpsMap< T > &	y,
		int	trunc ) const

Substitute and truncate.

Definition at line 326 of file VpsMap.h.

References Vps< T >::check(), constantTerm(), Vps< T >::data, FTpsData< N >::topOrder, Vps< T >::getDimension(), TpsData::getSubTable(), Vps< T >::getTopOrder(), TpsData::getTpsData(), Vps< T >::getTruncOrder(), Vps< T >::getVariables(), TpsSubstitution::index, TpsSubstitution::order, Array1D< T >::size(), TpsSubstitution::skip, TpsSubstitution::variable, Vps< T >::variables, and VpsMap().

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◆ substituteInto()

template<class T>

VpsMap< T > VpsMap< T >::substituteInto ( const Matrix< T > & x ) const

Substitute.

Definition at line 371 of file VpsMap.h.

References Vps< T >::data, Vps< T >::getDimension(), Array2D< T >::ncols(), Array2D< T >::nrows(), and VpsMap().

Referenced by operator*().

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◆ truncate()

template<class T>

Vps< T > Vps< T >::truncate ( int trunc )

inherited

Truncate, may also increase truncation order.

Definition at line 299 of file Vps.hpp.

References check(), data, getDimension(), variables, and Vps().

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Member Data Documentation

◆ data

template<class T>

Array1D< Tps<T> > Vps< T >::data

protectedinherited

◆ variables

template<class T>

int Vps< T >::variables

mutableprotectedinherited

Definition at line 146 of file Vps.h.

Referenced by check(), filter(), getVariables(), operator-(), operator=(), setComponent(), VpsMap< T >::substitute(), truncate(), Vps(), Vps(), Vps(), Vps(), and Vps().

The documentation for this class was generated from the following files:

Public Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ VpsMap() [1/7]

◆ VpsMap() [2/7]

◆ VpsMap() [3/7]

◆ VpsMap() [4/7]

◆ VpsMap() [5/7]

◆ VpsMap() [6/7]

◆ VpsMap() [7/7]

◆ ~VpsMap()

Member Function Documentation

◆ check()

◆ constantTerm() [1/2]

◆ constantTerm() [2/2]

◆ derivative()

◆ filter()

◆ get()

◆ getComponent()

◆ getDimension()

◆ getTopOrder()

◆ getTruncOrder()

◆ getVariables()

◆ integral()

◆ linearTerms() [1/2]

◆ linearTerms() [2/2]

◆ operator*=() [1/2]

◆ operator*=() [2/2]

◆ operator+()

◆ operator+=() [1/2]

◆ operator+=() [2/2]

◆ operator-()

◆ operator-=() [1/2]

◆ operator-=() [2/2]

◆ operator/=() [1/2]

◆ operator/=() [2/2]

◆ operator=()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ put()

◆ setComponent()

◆ substitute() [1/3]

◆ substitute() [2/3]

◆ substitute() [3/3]

◆ substituteInto()

◆ truncate()

Member Data Documentation

◆ data

◆ variables