Vector truncated power series. More...

#include <Vps.h>

Inheritance diagram for Vps< T >:

Collaboration diagram for Vps< T >:

Public Member Functions
	Vps (int nDim, int nVar=0)
	Constructor.
	Vps (const Matrix< T > &M)
	Convert.
	Vps (const Vector< T > &V)
	Convert from vector.
	Vps ()
	Vps (const Vps< T > &rhs)
	~Vps ()
Vps< T > &	operator= (const Vps< T > &)
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 Tps< T > &y)
	Divide by Tps<T> and assign.
Vps< T > &	operator*= (const T &y)
	Multiply by constant 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 Vps< T > &y)
	Subtraction.
Vps< T > &	operator+= (const Vector< T > &y)
	Add and assign.
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 Vps< T >

Vector truncated power series.

Definition at line 38 of file Vps.h.

Constructor & Destructor Documentation

◆ Vps() [1/5]

template<class T>

Vps< T >::Vps	(	int	nDim,
		int	nVar = 0 )

Constructor.

Definition at line 46 of file Vps.hpp.

References data, and variables.

Referenced by filter(), get(), operator*=(), operator*=(), operator+(), operator+=(), operator+=(), operator-(), operator-=(), operator-=(), operator/=(), operator/=(), operator=(), truncate(), Vps(), VpsMap< T >::VpsMap(), VpsMap< T >::VpsMap(), VpsMap< T >::VpsMap(), VpsMap< T >::VpsMap(), VpsMap< T >::VpsMap(), VpsMap< T >::VpsMap(), and VpsMap< T >::VpsMap().

◆ Vps() [2/5]

template<class T>

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

Convert.

Definition at line 59 of file Vps.hpp.

References data, Array2D< T >::ncols(), Array2D< T >::nrows(), and variables.

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◆ Vps() [3/5]

template<class T>

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

Convert from vector.

Definition at line 72 of file Vps.hpp.

References data, and variables.

◆ Vps() [4/5]

template<class T>

Vps< T >::Vps ( )

Definition at line 40 of file Vps.hpp.

References data, and variables.

◆ Vps() [5/5]

template<class T>

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

Definition at line 52 of file Vps.hpp.

References data, variables, and Vps().

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◆ ~Vps()

template<class T>

Vps< T >::~Vps ( )

Definition at line 79 of file Vps.hpp.

Member Function Documentation

◆ check()

template<class T>

void Vps< T >::check ( ) const

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().

◆ filter()

template<class T>

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

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 )

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

Get component.

Definition at line 92 of file Vps.hpp.

References data.

◆ getDimension()

template<class T>

int Vps< T >::getDimension ( ) const

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

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

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

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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◆ operator*=() [1/2]

template<class T>

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

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 )

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

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 )

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 )

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

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 )

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 )

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 )

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 )

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>

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

Definition at line 84 of file Vps.hpp.

References data, variables, and Vps().

Referenced by VpsMap< T >::operator=().

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◆ operator[]() [1/2]

template<class T>

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

inline

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

inline

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

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 )

Set component.

Definition at line 98 of file Vps.hpp.

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

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◆ truncate()

template<class T>

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

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

protected

◆ variables

template<class T>

int Vps< T >::variables

mutableprotected

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

◆ Vps() [1/5]

◆ Vps() [2/5]

◆ Vps() [3/5]

◆ Vps() [4/5]

◆ Vps() [5/5]

◆ ~Vps()

Member Function Documentation

◆ check()

◆ filter()

◆ get()

◆ getComponent()

◆ getDimension()

◆ getTopOrder()

◆ getTruncOrder()

◆ getVariables()

◆ 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()

◆ truncate()

Member Data Documentation

◆ data

◆ variables