A representation for a homogeneous polynomial, used as a Lie generator. More...

#include <FLieGenerator.h>

Public Member Functions
	FLieGenerator (int)
	Construct a zero generator of given order. More...

	FLieGenerator (const FTps< T, 2 *N > &, int)
	Construct a zero generator of given order by extraction. More...

	FLieGenerator ()

	FLieGenerator (const FLieGenerator &)

	~FLieGenerator ()

const FLieGenerator &	operator= (const FLieGenerator &)

bool	operator== (const FLieGenerator &) const

T *	begin ()
	Get pointer to beginning of generator. More...

T *	end ()
	Get pointer past end of generator. More...

const T *	begin () const
	Get pointer to beginning of generator. More...

const T *	end () const
	Get pointer past end of generator. More...

T &	operator[] (int n)
	Get element. More...

const T &	operator[] (int n) const
	Get element. More...

FLieGenerator	operator- () const
	Change sign of generator. More...

FLieGenerator &	operator*= (const T &)
	Multiply by scalar and assign. More...

FLieGenerator &	operator/= (const T &)
	Divide by scalar and assign. More...

FLieGenerator &	operator+= (const FLieGenerator &)
	Add vector and assign. More...

FLieGenerator &	operator-= (const FLieGenerator &)
	Subtract vector and assign. More...

void	clear ()
	Clear all coefficients. More...

FLieGenerator	derivative (int var) const
	Partial derivative. More...

bool	isZero () const
	Test for zero. More...

FLieGenerator	scale (const FLieGenerator &) const
	Scale monomial-wise. More...

template<class U >
FLieGenerator< U, N >	transform (const FMatrix< U, 2 N, 2 N > &) const
	Substitute matrix in Lie generator. More...

int	getOrder () const
	Return order of this generator. More...

int	getBottomIndex () const
	Return bottom index of this generator. More...

int	getTopIndex () const
	Return top index of this generator. More...

Static Private Member Functions
static int	getSize (int order)

static int	getBottomIndex (int order)

static int	getTopIndex (int order)

Private Attributes
int	itsOrder

int	bottomIndex

int	topIndex

Array1D< T >	itsCoeffs

Detailed Description

template<class T, int N>
class FLieGenerator< T, N >

A representation for a homogeneous polynomial, used as a Lie generator.

Definition at line 40 of file FLieGenerator.h.

Constructor & Destructor Documentation

◆ FLieGenerator() [1/4]

template<class T , int N>

FLieGenerator< T, N >::FLieGenerator ( int order )

explicit

Construct a zero generator of given order.

Definition at line 37 of file FLieGenerator.hpp.

References FLieGenerator< T, N >::itsCoeffs, and Attrib::Legacy::Distribution::T.

◆ FLieGenerator() [2/4]

template<class T , int N>

FLieGenerator< T, N >::FLieGenerator	(	const FTps< T, 2 *N > &	tps,
		int	order
	)

Construct a zero generator of given order by extraction.

Definition at line 48 of file FLieGenerator.hpp.

References FTps< T, N >::begin(), FLieGenerator< T, N >::bottomIndex, FTps< T, N >::getMaxOrder(), FLieGenerator< T, N >::itsCoeffs, Attrib::Legacy::Distribution::T, and FLieGenerator< T, N >::topIndex.

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◆ FLieGenerator() [3/4]

template<class T , int N>

FLieGenerator< T, N >::FLieGenerator

Definition at line 63 of file FLieGenerator.hpp.

References FLieGenerator< T, N >::itsCoeffs, and Attrib::Legacy::Distribution::T.

◆ FLieGenerator() [4/4]

template<class T , int N>

FLieGenerator< T, N >::FLieGenerator ( const FLieGenerator< T, N > & rhs )

Definition at line 74 of file FLieGenerator.hpp.

◆ ~FLieGenerator()

template<class T , int N>

FLieGenerator< T, N >::~FLieGenerator

Definition at line 84 of file FLieGenerator.hpp.

Member Function Documentation

◆ begin() [1/2]

template<class T , int N>

T * FLieGenerator< T, N >::begin

inline

Get pointer to beginning of generator.

Definition at line 101 of file FLieGenerator.hpp.

Referenced by imag(), real(), and toComplex().

◆ begin() [2/2]

template<class T , int N>

const T * FLieGenerator< T, N >::begin

inline

Get pointer to beginning of generator.

Definition at line 108 of file FLieGenerator.hpp.

◆ clear()

template<class T , int N>

void FLieGenerator< T, N >::clear

Clear all coefficients.

Definition at line 208 of file FLieGenerator.hpp.

References Attrib::Legacy::Distribution::T.

◆ derivative()

template<class T , int N>

FLieGenerator< T, N > FLieGenerator< T, N >::derivative ( int var ) const

Partial derivative.

Definition at line 215 of file FLieGenerator.hpp.

References FLieGenerator< T, N >::getBottomIndex(), FTpsData< N >::getProductArray(), and FLieGenerator< T, N >::getTopIndex().

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◆ end() [1/2]

template<class T , int N>

T * FLieGenerator< T, N >::end

inline

Get pointer past end of generator.

Definition at line 115 of file FLieGenerator.hpp.

Referenced by imag(), real(), and toComplex().

◆ end() [2/2]

template<class T , int N>

const T * FLieGenerator< T, N >::end

inline

Get pointer past end of generator.

Definition at line 121 of file FLieGenerator.hpp.

◆ getBottomIndex() [1/2]

template<class T , int N>

int FLieGenerator< T, N >::getBottomIndex

inline

Return bottom index of this generator.

Definition at line 313 of file FLieGenerator.hpp.

Referenced by FLieGenerator< T, N >::derivative(), operator*(), and operator<<().

◆ getBottomIndex() [2/2]

template<class T , int N>

int FLieGenerator< T, N >::getBottomIndex ( int order )

inlinestaticprivate

Definition at line 334 of file FLieGenerator.hpp.

References FTpsData< N >::getSize().

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◆ getOrder()

template<class T , int N>

int FLieGenerator< T, N >::getOrder

inline

Return order of this generator.

Definition at line 306 of file FLieGenerator.hpp.

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

◆ getSize()

template<class T , int N>

int FLieGenerator< T, N >::getSize ( int order )

inlinestaticprivate

Definition at line 327 of file FLieGenerator.hpp.

References FTpsData< N >::getSize().

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◆ getTopIndex() [1/2]

template<class T , int N>

int FLieGenerator< T, N >::getTopIndex

inline

Return top index of this generator.

Definition at line 320 of file FLieGenerator.hpp.

Referenced by FLieGenerator< T, N >::derivative(), operator*(), and operator<<().

◆ getTopIndex() [2/2]

template<class T , int N>

int FLieGenerator< T, N >::getTopIndex ( int order )

inlinestaticprivate

Definition at line 341 of file FLieGenerator.hpp.

References FTpsData< N >::getSize().

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◆ isZero()

template<class T , int N>

bool FLieGenerator< T, N >::isZero

Test for zero.

Definition at line 233 of file FLieGenerator.hpp.

References Attrib::Legacy::Distribution::T.

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

◆ operator*=()

template<class T , int N>

FLieGenerator< T, N > & FLieGenerator< T, N >::operator*= ( const T & val )

Multiply by scalar and assign.

Definition at line 152 of file FLieGenerator.hpp.

◆ operator+=()

template<class T , int N>

FLieGenerator< T, N > & FLieGenerator< T, N >::operator+= ( const FLieGenerator< T, N > & rhs )

Add vector and assign.

Definition at line 176 of file FLieGenerator.hpp.

References FLieGenerator< T, N >::isZero(), FLieGenerator< T, N >::itsCoeffs, and FLieGenerator< T, N >::itsOrder.

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◆ operator-()

template<class T , int N>

FLieGenerator< T, N > FLieGenerator< T, N >::operator-

Change sign of generator.

Definition at line 140 of file FLieGenerator.hpp.

References FLieGenerator< T, N >::itsCoeffs.

◆ operator-=()

template<class T , int N>

FLieGenerator< T, N > & FLieGenerator< T, N >::operator-= ( const FLieGenerator< T, N > & rhs )

Subtract vector and assign.

Definition at line 192 of file FLieGenerator.hpp.

References FLieGenerator< T, N >::isZero(), FLieGenerator< T, N >::itsCoeffs, and FLieGenerator< T, N >::itsOrder.

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◆ operator/=()

template<class T , int N>

FLieGenerator< T, N > & FLieGenerator< T, N >::operator/= ( const T & val )

Divide by scalar and assign.

Definition at line 164 of file FLieGenerator.hpp.

◆ operator=()

template<class T , int N>

const FLieGenerator< T, N > & FLieGenerator< T, N >::operator= ( const FLieGenerator< T, N > & rhs )

Definition at line 90 of file FLieGenerator.hpp.

References FLieGenerator< T, N >::bottomIndex, FLieGenerator< T, N >::itsCoeffs, FLieGenerator< T, N >::itsOrder, and FLieGenerator< T, N >::topIndex.

◆ operator==()

template<class T , int N>

bool FLieGenerator< T, N >::operator== ( const FLieGenerator< T, N > & ) const

◆ operator[]() [1/2]

template<class T , int N>

T & FLieGenerator< T, N >::operator[] ( int n )

inline

Get element.

Definition at line 128 of file FLieGenerator.hpp.

◆ operator[]() [2/2]

template<class T , int N>

const T & FLieGenerator< T, N >::operator[] ( int n ) const

inline

Get element.

Definition at line 134 of file FLieGenerator.hpp.

◆ scale()

template<class T , int N>

FLieGenerator< T, N > FLieGenerator< T, N >::scale ( const FLieGenerator< T, N > & rhs ) const

Scale monomial-wise.

Definition at line 246 of file FLieGenerator.hpp.

References FLieGenerator< T, N >::itsCoeffs.

◆ transform()

template<class T , int N>

template<class U >

FLieGenerator< U, N > FLieGenerator< T, N >::transform ( const FMatrix< U, 2 *N, 2 *N > & mat ) const

Substitute matrix in Lie generator.

Definition at line 256 of file FLieGenerator.hpp.

References Array1D< T >::begin(), Physics::c, FTpsData< N >::getProductArray(), FTpsData< N >::getSubTable(), TpsSubstitution::index, TpsSubstitution::order, prod(), Array1D< T >::size(), TpsSubstitution::skip, Attrib::Legacy::Distribution::T, and TpsSubstitution::variable.

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Member Data Documentation

◆ bottomIndex

template<class T , int N>

int FLieGenerator< T, N >::bottomIndex

private

Definition at line 146 of file FLieGenerator.h.

Referenced by FLieGenerator< T, N >::FLieGenerator(), and FLieGenerator< T, N >::operator=().

◆ itsCoeffs

template<class T , int N>

Array1D<T> FLieGenerator< T, N >::itsCoeffs

private

Definition at line 152 of file FLieGenerator.h.

Referenced by FLieGenerator< T, N >::FLieGenerator(), FLieGenerator< T, N >::operator+=(), FLieGenerator< T, N >::operator-(), FLieGenerator< T, N >::operator-=(), FLieGenerator< T, N >::operator=(), and FLieGenerator< T, N >::scale().

◆ itsOrder

template<class T , int N>

int FLieGenerator< T, N >::itsOrder

private

Definition at line 143 of file FLieGenerator.h.

Referenced by FLieGenerator< T, N >::operator+=(), FLieGenerator< T, N >::operator-=(), and FLieGenerator< T, N >::operator=().

◆ topIndex

template<class T , int N>

int FLieGenerator< T, N >::topIndex

private

Definition at line 149 of file FLieGenerator.h.

Referenced by FLieGenerator< T, N >::FLieGenerator(), and FLieGenerator< T, N >::operator=().

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

/Users/gsell/src/OPAL/src/src/Classic/FixedAlgebra/FLieGenerator.h
/Users/gsell/src/OPAL/src/src/Classic/FixedAlgebra/FLieGenerator.hpp

Public Member Functions

Static Private Member Functions

Private Attributes

Detailed Description

template<class T, int N> class FLieGenerator< T, N >

Constructor & Destructor Documentation

◆ FLieGenerator() [1/4]

◆ FLieGenerator() [2/4]

◆ FLieGenerator() [3/4]

◆ FLieGenerator() [4/4]

◆ ~FLieGenerator()

Member Function Documentation

◆ begin() [1/2]

◆ begin() [2/2]

◆ clear()

◆ derivative()

◆ end() [1/2]

◆ end() [2/2]

◆ getBottomIndex() [1/2]

◆ getBottomIndex() [2/2]

◆ getOrder()

◆ getSize()

◆ getTopIndex() [1/2]

◆ getTopIndex() [2/2]

◆ isZero()

◆ operator*=()

◆ operator+=()

◆ operator-()

◆ operator-=()

◆ operator/=()

◆ operator=()

◆ operator==()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ scale()

◆ transform()

Member Data Documentation

◆ bottomIndex

◆ itsCoeffs

◆ itsOrder

◆ topIndex

template<class T, int N>
class FLieGenerator< T, N >