Taylor< T > Class Template Reference

A representation for a Taylor series in one variable,. More...

#include <Taylor.h>

Public Member Functions
	Taylor (int)
	Construct a zero series of a given order. More...
	Taylor ()
	Taylor (const Taylor &)
	~Taylor ()
const Taylor &	operator= (const Taylor &)
T *	begin ()
	Get pointer to beginning of series (zero-order term). More...
const T *	begin () const
	Get pointer to beginning of series (zero-order term). More...
T *	end ()
	Get pointer to end of series (one beyond highest term). More...
const T *	end () const
	Get pointer to end of series (one beyond highest term). More...
T &	operator[] (int n)
	Get coefficient. More...
const T &	operator[] (int n) const
	Get coefficient. More...
Taylor	operator- () const
	Change sign of series. More...
Taylor &	operator*= (const T &)
	Multiply by scalar and assign. More...
Taylor &	operator/= (const T &)
	Divide by scalar and assign. More...
Taylor &	operator+= (const Taylor &)
	Add series and assign. More...
Taylor &	operator-= (const Taylor &)
	Subtract series and assign. More...
void	clear ()
	Clear all coefficients. More...
Taylor	integrate () const
	Integrate with respect to the variable. More...
T	sum () const
	Return sum of series. More...
int	getOrder () const
	Return order of this series. More...

Private Attributes
Array1D< T >	itsCoeffs

Detailed Description

template<class T>
class Taylor< T >

A representation for a Taylor series in one variable,.

Definition at line 36 of file Taylor.h.

Constructor & Destructor Documentation

template<class T >

Taylor< T >::Taylor ( int  order )

explicit

Construct a zero series of a given order.

Definition at line 33 of file Taylor.hpp.

template<class T >

Taylor< T >::Taylor

(

)

Definition at line 40 of file Taylor.hpp.

template<class T >

Taylor< T >::Taylor

(

const Taylor< T > &

rhs

)

Definition at line 47 of file Taylor.hpp.

template<class T >

Taylor< T >::~Taylor

(

)

Definition at line 54 of file Taylor.hpp.

Member Function Documentation

template<class T >

T * Taylor< T >::begin ( )

inline

Get pointer to beginning of series (zero-order term).

Definition at line 68 of file Taylor.hpp.

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

template<class T >

const T * Taylor< T >::begin ( ) const

inline

Get pointer to beginning of series (zero-order term).

Definition at line 75 of file Taylor.hpp.

template<class T >

void Taylor< T >::clear

(

)

Clear all coefficients.

Definition at line 160 of file Taylor.hpp.

template<class T >

T * Taylor< T >::end ( )

inline

Get pointer to end of series (one beyond highest term).

Definition at line 82 of file Taylor.hpp.

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

template<class T >

const T * Taylor< T >::end ( ) const

inline

Get pointer to end of series (one beyond highest term).

Definition at line 89 of file Taylor.hpp.

template<class T >

int Taylor< T >::getOrder ( ) const

inline

Return order of this series.

Definition at line 192 of file Taylor.hpp.

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

template<class T >

Taylor< T > Taylor< T >::integrate

(

)

const

Integrate with respect to the variable.

Definition at line 167 of file Taylor.hpp.

References Taylor< T >::begin(), and T.

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template<class T >

Taylor< T > & Taylor< T >::operator*=

(

const T &

val

)

Multiply by scalar and assign.

Definition at line 115 of file Taylor.hpp.

template<class T >

Taylor< T > & Taylor< T >::operator+=

(

const Taylor< T > &

rhs

)

Add series and assign.

Definition at line 131 of file Taylor.hpp.

References Taylor< T >::begin(), Taylor< T >::end(), Taylor< T >::getOrder(), and Hypervolume::n.

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template<class T >

Taylor< T > Taylor< T >::operator-

(

)

const

Change sign of series.

Definition at line 107 of file Taylor.hpp.

References Taylor< T >::begin().

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template<class T >

Taylor< T > & Taylor< T >::operator-=

(

const Taylor< T > &

rhs

)

Subtract series and assign.

Definition at line 145 of file Taylor.hpp.

References Taylor< T >::begin(), Taylor< T >::end(), Taylor< T >::getOrder(), and Hypervolume::n.

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template<class T >

Taylor< T > & Taylor< T >::operator/=

(

const T &

val

)

Divide by scalar and assign.

Definition at line 123 of file Taylor.hpp.

template<class T >

const Taylor< T > & Taylor< T >::operator=

(

const Taylor< T > &

rhs

)

Definition at line 60 of file Taylor.hpp.

References Taylor< T >::itsCoeffs.

template<class T >

T & Taylor< T >::operator[] ( int  n )

inline

Get coefficient.

Definition at line 95 of file Taylor.hpp.

template<class T >

const T & Taylor< T >::operator[] ( int  n ) const

inline

Get coefficient.

Definition at line 101 of file Taylor.hpp.

template<class T >

T Taylor< T >::sum

(

)

const

Return sum of series.

Definition at line 185 of file Taylor.hpp.

References T.

Referenced by DragtFinnMap< N >::factorDouglas().

Member Data Documentation

template<class T>

Array1D<T> Taylor< T >::itsCoeffs

private

Definition at line 108 of file Taylor.h.

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

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

• src/Classic/FixedAlgebra/Taylor.h
• src/Classic/FixedAlgebra/Taylor.hpp