Truncated power series. More...

#include <Tps.h>

Public Member Functions
	Tps (int maxOrder, int nVar)
	Constructor.

	Tps (const T &y)
	Conversion.

	Tps (int y)
	Conversion.

	Tps ()

	Tps (const Tps< T > &x)

	~Tps ()

Tps< T > &	operator= (const Tps< T > &y)

Tps< T > &	operator= (const T &y)
	Convert and assign.

Tps< T >	filter (int lowOrder, int highOrder) const
	Extract orders.

Tps< T >	truncate (int trunc)
	Truncate.

const T	getCoefficient (int index) const
	Get coefficient.

void	setCoefficient (int index, const T &value)
	Set coefficient.

const T	getCoefficient (const TpsMonomial &monomial) const
	Get coefficient.

void	setCoefficient (const TpsMonomial &monomial, const T &value)
	Set coefficient.

const T	operator[] (int index) const
	Get coefficient.

T &	operator[] (int index)
	Get coefficient.

const T	operator[] (const TpsMonomial &monomial) const
	Get coefficient.

T &	operator[] (const TpsMonomial &monomial)
	Get coefficient.

Tps< T >	operator+ () const
	Unary plus.

Tps< T >	operator- () const
	Unary minus.

Tps< T > &	operator+= (const Tps< T > &y)
	Add and assign.

Tps< T > &	operator-= (const Tps< T > &y)
	Subtract and assign.

Tps< T > &	operator*= (const Tps< T > &y)
	Multiply and assign.

Tps< T > &	operator/= (const Tps< T > &y)
	Divide and assign.

Tps< T > &	operator+= (const T &y)
	Add constant and assign.

Tps< T > &	operator-= (const T &y)
	Subtract constant and assign.

Tps< T > &	operator*= (const T &y)
	Multiply by constant and assign.

Tps< T > &	operator/= (const T &y)
	Divide by constant and assign.

bool	operator== (const Tps< T > &y) const
	Equality operator.

bool	operator== (const T &y) const
	Equlatity with constant.

bool	operator!= (const Tps< T > &y) const
	Inequality operator.

bool	operator!= (const T &y) const
	Inequality with constant.

Tps< T >	substitute (const Matrix< T > &M) const
	Substitute.

Tps< T >	substitute (const VpsMap< T > &m) const
	Substitute.

T	evaluate (const Vector< T > &v) const
	Substitute.

void	clear ()
	Set to zero.

Tps< T >	inverse (int order=truncOrder) const
	Reciprocal value.

Tps< T >	multiply (const Tps< T > &y, int trunc) const
	Truncated multiplication.

Tps< T >	derivative (int var) const
	Partial derivative.

Tps< T >	integral (int var) const
	Partial integral.

Tps< T >	multiplyVariable (int var) const
	Multiply by variable [b]var[/b].

Tps< T >	scaleMonomials (const Tps< T > &y) const
	Multiply monomial-wise.

Tps< T >	Taylor (const T series[], int n) const
	Taylor series.

int	getMaxOrder () const
	Get maximal order.

int	getTruncOrder () const
	Get truncation order.

int	getVariables () const
	Get number of variables.

int	getSize () const
	Get number of coefficients.

std::istream &	get (std::istream &is)
	Get Tps from the stream is.

std::ostream &	put (std::ostream &os) const
	Put Tps to the stream is.

const TpsMonomial &	getExponents (int index) const
	Get exponents.

int	getOrder (int index) const
	Get order.

int	getSize (int order) const
	Size.

bool	isConstant () const
	Test for constant.

Static Public Member Functions
static Tps< T >	makeVariable (int nVar, int var)
	Make variable.

static Tps< T >	makeVarPower (int nVar, int var, int power)
	Make power.

static Tps< T >	makeMonomial (const TpsMonomial &m, const T &t)
	Make monomial.

static int	getGlobalTruncOrder ()
	Get global truncation order.

static void	setGlobalTruncOrder (int order)
	Set global truncation order.

Static Public Attributes
static const int	EXACT = INT_MAX
	Representation of infinite precision.

Private Member Functions
	Tps (TpsRep< T > *)

void	setMaxOrder (int)

void	unique ()

Private Attributes
TpsRep< T > *	rep

Static Private Attributes
static int	truncOrder = EXACT

Detailed Description

template<class T>
class Tps< T >

Truncated power series.

Definition at line 46 of file Tps.h.

Constructor & Destructor Documentation

◆ Tps() [1/6]

template<class T >

Tps< T >::Tps	(	int	maxOrder,
		int	nVar
	)

Constructor.

Definition at line 239 of file Tps.hpp.

◆ Tps() [2/6]

template<class T >

Tps< T >::Tps ( const T & y )

Conversion.

Definition at line 251 of file Tps.hpp.

References Tps< T >::rep.

◆ Tps() [3/6]

template<class T >

Tps< T >::Tps ( int y )

Conversion.

Definition at line 258 of file Tps.hpp.

References Tps< T >::rep.

◆ Tps() [4/6]

template<class T >

Tps< T >::Tps ( )

Definition at line 233 of file Tps.hpp.

◆ Tps() [5/6]

template<class T >

Tps< T >::Tps ( const Tps< T > & x )

Definition at line 245 of file Tps.hpp.

◆ ~Tps()

template<class T >

Tps< T >::~Tps ( )

Definition at line 265 of file Tps.hpp.

References TpsRep< T >::release(), and Tps< T >::rep.

Here is the call graph for this function:

◆ Tps() [6/6]

template<class T >

Tps< T >::Tps ( TpsRep< T > * d )

inlineprivate

Definition at line 1108 of file Tps.hpp.

Member Function Documentation

◆ clear()

template<class T >

void Tps< T >::clear ( )

Set to zero.

Definition at line 726 of file Tps.hpp.

References TpsRep< T >::release(), Tps< T >::rep, and TpsRep< T >::zero().

Here is the call graph for this function:

◆ derivative()

template<class T >

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

Partial derivative.

Definition at line 932 of file Tps.hpp.

References TpsRep< T >::create(), TpsRep< T >::data(), Tps< T >::getExponents(), Tps< T >::getMaxOrder(), Tps< T >::getSize(), Tps< T >::getTruncOrder(), Tps< T >::getVariables(), and Tps< T >::rep.

Here is the call graph for this function:

◆ evaluate()

template<class T >

T Tps< T >::evaluate ( const Vector< T > & v ) const

Substitute.

Definition at line 698 of file Tps.hpp.

References Tps< T >::getMaxOrder(), Tps< T >::getVariables(), TpsSubstitution::index, TpsSubstitution::order, Tps< T >::rep, Array1D< T >::size(), TpsSubstitution::skip, and TpsSubstitution::variable.

Here is the call graph for this function:

◆ filter()

template<class T >

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

Extract orders.

Definition at line 291 of file Tps.hpp.

References TpsRep< T >::create(), TpsRep< T >::data(), Tps< T >::getMaxOrder(), Tps< T >::getSize(), Tps< T >::getTruncOrder(), Tps< T >::getVariables(), and Tps< T >::rep.

Referenced by Tps< T >::truncate().

Here is the call graph for this function:

◆ get()

template<class T >

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

Get Tps from the stream is.

Definition at line 733 of file Tps.hpp.

References TpsMonomial::getIndex(), Tps< T >::setMaxOrder(), and Tps< T >::truncOrder.

Referenced by operator>>().

Here is the call graph for this function:

◆ getCoefficient() [1/2]

template<class T >

const T Tps< T >::getCoefficient ( const TpsMonomial & monomial ) const

Get coefficient.

Definition at line 367 of file Tps.hpp.

References Tps< T >::getCoefficient(), TpsMonomial::getIndex(), Tps< T >::getVariables(), and TpsMonomial::getVariables().

Here is the call graph for this function:

◆ getCoefficient() [2/2]

template<class T >

const T Tps< T >::getCoefficient ( int index ) const

Get coefficient.

Definition at line 339 of file Tps.hpp.

References Tps< T >::rep.

Referenced by Tps< T >::getCoefficient().

◆ getExponents()

template<class T >

const TpsMonomial & Tps< T >::getExponents ( int index ) const

Get exponents.

Definition at line 1085 of file Tps.hpp.

References Tps< T >::rep.

Referenced by Tps< T >::derivative(), Tps< T >::integral(), and Tps< T >::put().

◆ getGlobalTruncOrder()

template<class T >

int Tps< T >::getGlobalTruncOrder ( )

static

Get global truncation order.

Definition at line 1073 of file Tps.hpp.

References Tps< T >::truncOrder.

◆ getMaxOrder()

template<class T >

int Tps< T >::getMaxOrder ( ) const

Get maximal order.

Definition at line 1043 of file Tps.hpp.

References Tps< T >::rep.

Referenced by Tps< T >::derivative(), Tps< T >::evaluate(), Tps< T >::filter(), Vps< T >::getTopOrder(), Tps< T >::multiply(), Tps< T >::operator+=(), Tps< T >::operator-(), Tps< T >::operator-=(), Tps< T >::operator==(), Tps< T >::put(), Tps< T >::scaleMonomials(), Tps< T >::substitute(), and Tps< T >::substitute().

◆ getOrder()

template<class T >

int Tps< T >::getOrder ( int index ) const

Get order.

Definition at line 1096 of file Tps.hpp.

References Tps< T >::rep.

Referenced by Tps< T >::setCoefficient().

◆ getSize() [1/2]

template<class T >

int Tps< T >::getSize ( ) const

Get number of coefficients.

Definition at line 1061 of file Tps.hpp.

References Tps< T >::rep.

Referenced by Tps< T >::derivative(), Tps< T >::filter(), Tps< T >::integral(), Tps< T >::multiply(), Tps< T >::multiplyVariable(), Tps< T >::operator+=(), Tps< T >::operator-=(), Tps< T >::operator==(), Tps< T >::operator==(), and Tps< T >::put().

◆ getSize() [2/2]

template<class T >

int Tps< T >::getSize ( int order ) const

Size.

Definition at line 1102 of file Tps.hpp.

References Tps< T >::rep.

◆ getTruncOrder()

template<class T >

int Tps< T >::getTruncOrder ( ) const

Get truncation order.

Definition at line 1049 of file Tps.hpp.

References Tps< T >::rep, and Tps< T >::truncOrder.

Referenced by cos(), cosh(), Tps< T >::derivative(), exp(), Tps< T >::filter(), Vps< T >::getTruncOrder(), Tps< T >::inverse(), log(), Tps< T >::multiply(), Tps< T >::operator+=(), Tps< T >::operator-(), Tps< T >::operator-=(), Tps< T >::operator==(), Tps< T >::put(), Tps< T >::scaleMonomials(), sin(), sinh(), sqrt(), and Tps< T >::substitute().

◆ getVariables()

template<class T >

int Tps< T >::getVariables ( ) const

Get number of variables.

Definition at line 1055 of file Tps.hpp.

References Tps< T >::rep.

Referenced by Tps< T >::derivative(), Tps< T >::evaluate(), Tps< T >::filter(), Tps< T >::getCoefficient(), Tps< T >::integral(), Tps< T >::multiply(), Tps< T >::multiplyVariable(), Tps< T >::operator+=(), Tps< T >::operator-(), Tps< T >::operator-=(), Tps< T >::operator==(), Tps< T >::put(), Tps< T >::scaleMonomials(), Tps< T >::setCoefficient(), Tps< T >::setCoefficient(), Vps< T >::setComponent(), Tps< T >::substitute(), and Tps< T >::substitute().

◆ integral()

template<class T >

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

Partial integral.

Definition at line 958 of file Tps.hpp.

References TpsRep< T >::create(), TpsRep< T >::data(), Tps< T >::getExponents(), Tps< T >::getSize(), Tps< T >::getVariables(), Tps< T >::rep, and Tps< T >::truncOrder.

Here is the call graph for this function:

◆ inverse()

template<class T >

Tps< T > Tps< T >::inverse ( int order = truncOrder ) const

Reciprocal value.

Definition at line 909 of file Tps.hpp.

References Tps< T >::getTruncOrder(), Tps< T >::isConstant(), and Tps< T >::rep.

Referenced by csc(), operator/(), Tps< T >::operator/=(), Vps< T >::operator/=(), pow(), and sec().

Here is the call graph for this function:

◆ isConstant()

template<class T >

bool Tps< T >::isConstant ( ) const

Test for constant.

Definition at line 1067 of file Tps.hpp.

References Tps< T >::rep.

Referenced by Tps< T >::inverse(), and Tps< T >::Taylor().

◆ makeMonomial()

template<class T >

Tps< T > Tps< T >::makeMonomial	(	const TpsMonomial &	m,
		const T &	t
	)

static

Make monomial.

Definition at line 413 of file Tps.hpp.

References Tps< T >::EXACT, TpsMonomial::getOrder(), and TpsMonomial::getVariables().

Here is the call graph for this function:

◆ makeVariable()

template<class T >

Tps< T > Tps< T >::makeVariable	(	int	nVar,
		int	var
	)

static

Make variable.

Definition at line 395 of file Tps.hpp.

References TpsRep< T >::create(), TpsRep< T >::data(), and Tps< T >::EXACT.

Here is the call graph for this function:

◆ makeVarPower()

template<class T >

Tps< T > Tps< T >::makeVarPower	(	int	nVar,
		int	var,
		int	power
	)

static

Make power.

Definition at line 403 of file Tps.hpp.

References Tps< T >::EXACT.

◆ multiply()

template<class T >

Tps< T > Tps< T >::multiply	(	const Tps< T > &	y,
		int	trunc
	)		const

Truncated multiplication.

Definition at line 835 of file Tps.hpp.

References TpsRep< T >::create(), TpsRep< T >::data(), Tps< T >::EXACT, Tps< T >::getMaxOrder(), Tps< T >::getSize(), Tps< T >::getTruncOrder(), Tps< T >::getVariables(), prod(), and Tps< T >::rep.

Referenced by Tps< T >::operator*=(), Tps< T >::operator/=(), and Tps< T >::Taylor().

Here is the call graph for this function:

◆ multiplyVariable()

template<class T >

Tps< T > Tps< T >::multiplyVariable ( int var ) const

Multiply by variable [b]var[/b].

Definition at line 981 of file Tps.hpp.

References TpsRep< T >::create(), TpsRep< T >::data(), Tps< T >::getSize(), Tps< T >::getVariables(), Tps< T >::rep, and Tps< T >::truncOrder.

Here is the call graph for this function:

◆ operator!=() [1/2]

template<class T >

bool Tps< T >::operator!= ( const T & y ) const

Inequality with constant.

Definition at line 620 of file Tps.hpp.

◆ operator!=() [2/2]

template<class T >

bool Tps< T >::operator!= ( const Tps< T > & y ) const

Inequality operator.

Definition at line 614 of file Tps.hpp.

◆ operator*=() [1/2]

template<class T >

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

Multiply by constant and assign.

Definition at line 539 of file Tps.hpp.

References Tps< T >::rep, and Tps< T >::unique().

Here is the call graph for this function:

◆ operator*=() [2/2]

template<class T >

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

Multiply and assign.

Definition at line 511 of file Tps.hpp.

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

Here is the call graph for this function:

◆ operator+()

template<class T >

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

Unary plus.

Definition at line 423 of file Tps.hpp.

◆ operator+=() [1/2]

template<class T >

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

Add constant and assign.

Definition at line 523 of file Tps.hpp.

References Tps< T >::rep, and Tps< T >::unique().

Here is the call graph for this function:

◆ operator+=() [2/2]

template<class T >

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

Add and assign.

Definition at line 439 of file Tps.hpp.

References TpsRep< T >::create(), TpsRep< T >::data(), Tps< T >::getMaxOrder(), Tps< T >::getSize(), Tps< T >::getTruncOrder(), Tps< T >::getVariables(), TpsRep< T >::release(), Tps< T >::rep, and Tps< T >::unique().

Here is the call graph for this function:

◆ operator-()

template<class T >

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

Unary minus.

Definition at line 429 of file Tps.hpp.

References TpsRep< T >::create(), TpsRep< T >::data(), Tps< T >::getMaxOrder(), Tps< T >::getTruncOrder(), Tps< T >::getVariables(), and Tps< T >::rep.

Here is the call graph for this function:

◆ operator-=() [1/2]

template<class T >

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

Subtract constant and assign.

Definition at line 531 of file Tps.hpp.

References Tps< T >::rep, and Tps< T >::unique().

Here is the call graph for this function:

◆ operator-=() [2/2]

template<class T >

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

Subtract and assign.

Definition at line 474 of file Tps.hpp.

References TpsRep< T >::create(), TpsRep< T >::data(), Tps< T >::getMaxOrder(), Tps< T >::getSize(), Tps< T >::getTruncOrder(), Tps< T >::getVariables(), TpsRep< T >::release(), Tps< T >::rep, and Tps< T >::unique().

Here is the call graph for this function:

◆ operator/=() [1/2]

template<class T >

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

Divide by constant and assign.

Definition at line 548 of file Tps.hpp.

References Tps< T >::rep.

◆ operator/=() [2/2]

template<class T >

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

Divide and assign.

Definition at line 517 of file Tps.hpp.

References Tps< T >::inverse(), Tps< T >::multiply(), and Tps< T >::truncOrder.

Here is the call graph for this function:

◆ operator=() [1/2]

template<class T >

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

Convert and assign.

Definition at line 282 of file Tps.hpp.

References TpsRep< T >::release(), Tps< T >::rep, and TpsRep< T >::zero().

Here is the call graph for this function:

◆ operator=() [2/2]

template<class T >

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

Definition at line 271 of file Tps.hpp.

References TpsRep< T >::release(), and Tps< T >::rep.

Here is the call graph for this function:

◆ operator==() [1/2]

template<class T >

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

Equlatity with constant.

Definition at line 600 of file Tps.hpp.

References Tps< T >::getSize(), and Tps< T >::rep.

Here is the call graph for this function:

◆ operator==() [2/2]

template<class T >

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

Equality operator.

Definition at line 557 of file Tps.hpp.

References Tps< T >::getMaxOrder(), Tps< T >::getSize(), Tps< T >::getTruncOrder(), Tps< T >::getVariables(), and Tps< T >::rep.

Here is the call graph for this function:

◆ operator[]() [1/4]

template<class T >

T & Tps< T >::operator[] ( const TpsMonomial & monomial )

Get coefficient.

Definition at line 332 of file Tps.hpp.

References TpsMonomial::getIndex(), Tps< T >::rep, and Tps< T >::unique().

Here is the call graph for this function:

◆ operator[]() [2/4]

template<class T >

const T Tps< T >::operator[] ( const TpsMonomial & monomial ) const

Get coefficient.

Definition at line 326 of file Tps.hpp.

References TpsMonomial::getIndex(), and Tps< T >::rep.

Here is the call graph for this function:

◆ operator[]() [3/4]

template<class T >

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

Get coefficient.

Definition at line 319 of file Tps.hpp.

References Tps< T >::rep, and Tps< T >::unique().

Here is the call graph for this function:

◆ operator[]() [4/4]

template<class T >

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

Get coefficient.

Definition at line 313 of file Tps.hpp.

References Tps< T >::rep.

◆ put()

template<class T >

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

Put Tps to the stream is.

Definition at line 796 of file Tps.hpp.

References Tps< T >::getExponents(), Tps< T >::getMaxOrder(), Tps< T >::getSize(), Tps< T >::getTruncOrder(), Tps< T >::getVariables(), and Tps< T >::rep.

Referenced by operator<<().

Here is the call graph for this function:

◆ scaleMonomials()

template<class T >

Tps< T > Tps< T >::scaleMonomials ( const Tps< T > & y ) const

Multiply monomial-wise.

Definition at line 1004 of file Tps.hpp.

References TpsRep< T >::create(), TpsRep< T >::data(), Tps< T >::getMaxOrder(), Tps< T >::getTruncOrder(), Tps< T >::getVariables(), TpsRep< T >::len, and Tps< T >::rep.

Here is the call graph for this function:

◆ setCoefficient() [1/2]

template<class T >

void Tps< T >::setCoefficient	(	const TpsMonomial &	monomial,
		const T &	value
	)

Set coefficient.

Definition at line 381 of file Tps.hpp.

References TpsMonomial::getIndex(), Tps< T >::getVariables(), TpsMonomial::getVariables(), and Tps< T >::setCoefficient().

Here is the call graph for this function:

◆ setCoefficient() [2/2]

template<class T >

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

Set coefficient.

Definition at line 349 of file Tps.hpp.

References TpsRep< T >::create(), TpsRep< T >::data(), Tps< T >::getOrder(), Tps< T >::getVariables(), TpsRep< T >::release(), Tps< T >::rep, and Tps< T >::unique().

Referenced by Tps< T >::setCoefficient().

Here is the call graph for this function:

◆ setGlobalTruncOrder()

template<class T >

void Tps< T >::setGlobalTruncOrder ( int order )

static

Set global truncation order.

Definition at line 1079 of file Tps.hpp.

References Tps< T >::truncOrder.

◆ setMaxOrder()

template<class T >

void Tps< T >::setMaxOrder ( int order )

inlineprivate

Definition at line 49 of file Tps.hpp.

Referenced by Tps< T >::get().

◆ substitute() [1/2]

template<class T >

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

Substitute.

Definition at line 626 of file Tps.hpp.

References Tps< T >::getMaxOrder(), Tps< T >::getVariables(), TpsSubstitution::index, Array2D< T >::ncols(), Array2D< T >::nrows(), TpsSubstitution::order, Tps< T >::rep, Array1D< T >::size(), TpsSubstitution::skip, and TpsSubstitution::variable.

Here is the call graph for this function:

◆ substitute() [2/2]

template<class T >

Tps< T > Tps< T >::substitute ( const VpsMap< T > & m ) const

Substitute.

Definition at line 669 of file Tps.hpp.

References Vps< T >::getDimension(), Tps< T >::getMaxOrder(), Tps< T >::getTruncOrder(), Tps< T >::getVariables(), TpsSubstitution::index, TpsSubstitution::order, Tps< T >::rep, Array1D< T >::size(), TpsSubstitution::skip, and TpsSubstitution::variable.

Here is the call graph for this function:

◆ Taylor()

template<class T >

Tps< T > Tps< T >::Taylor	(	const T	series[],
		int	n
	)		const

Taylor series.

Definition at line 1026 of file Tps.hpp.

References Tps< T >::isConstant(), and Tps< T >::multiply().

Referenced by cos(), cosh(), exp(), log(), sin(), sinh(), and sqrt().

Here is the call graph for this function:

◆ truncate()

template<class T >

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

Truncate.

Definition at line 307 of file Tps.hpp.

References Tps< T >::filter().

Here is the call graph for this function:

◆ unique()

template<class T >

void Tps< T >::unique ( )

inlineprivate

Definition at line 55 of file Tps.hpp.

Referenced by Tps< T >::operator*=(), Tps< T >::operator+=(), Tps< T >::operator+=(), Tps< T >::operator-=(), Tps< T >::operator-=(), Tps< T >::operator[](), Tps< T >::operator[](), and Tps< T >::setCoefficient().

Member Data Documentation

◆ EXACT

template<class T >

const int Tps< T >::EXACT = INT_MAX

static

Representation of infinite precision.

Definition at line 260 of file Tps.h.

Referenced by Tps< T >::makeMonomial(), Tps< T >::makeVariable(), Tps< T >::makeVarPower(), and Tps< T >::multiply().

◆ rep

template<class T >

TpsRep<T>* Tps< T >::rep

private

Definition at line 274 of file Tps.h.

◆ truncOrder

template<class T >

int Tps< T >::truncOrder = EXACT

staticprivate

Definition at line 277 of file Tps.h.

Referenced by Tps< T >::get(), Tps< T >::getGlobalTruncOrder(), Tps< T >::getTruncOrder(), Tps< T >::integral(), Tps< T >::multiplyVariable(), Tps< T >::operator*=(), Tps< T >::operator/=(), and Tps< T >::setGlobalTruncOrder().

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

src/Classic/Algebra/Tps.h
src/Classic/Algebra/Tps.hpp

Public Member Functions

Static Public Member Functions

Static Public Attributes

Private Member Functions

Private Attributes

Static Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ Tps() [1/6]

◆ Tps() [2/6]

◆ Tps() [3/6]

◆ Tps() [4/6]

◆ Tps() [5/6]

◆ ~Tps()

◆ Tps() [6/6]

Member Function Documentation

◆ clear()

◆ derivative()

◆ evaluate()

◆ filter()

◆ get()

◆ getCoefficient() [1/2]

◆ getCoefficient() [2/2]

◆ getExponents()

◆ getGlobalTruncOrder()

◆ getMaxOrder()

◆ getOrder()

◆ getSize() [1/2]

◆ getSize() [2/2]

◆ getTruncOrder()

◆ getVariables()

◆ integral()

◆ inverse()

◆ isConstant()

◆ makeMonomial()

◆ makeVariable()

◆ makeVarPower()

◆ multiply()

◆ multiplyVariable()

◆ operator!=() [1/2]

◆ operator!=() [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=() [1/2]

◆ operator=() [2/2]

◆ operator==() [1/2]

◆ operator==() [2/2]

◆ operator[]() [1/4]

◆ operator[]() [2/4]

◆ operator[]() [3/4]

◆ operator[]() [4/4]

◆ put()

◆ scaleMonomials()

◆ setCoefficient() [1/2]

◆ setCoefficient() [2/2]

◆ setGlobalTruncOrder()

◆ setMaxOrder()

◆ substitute() [1/2]

◆ substitute() [2/2]

◆ Taylor()

◆ truncate()

◆ unique()

Member Data Documentation

◆ EXACT

◆ rep

◆ truncOrder