#include "FixedAlgebra/FTpsData.h"
#include <iosfwd>
#include <list>
#include <string>
#include "FixedAlgebra/FVps.h"
#include "FixedAlgebra/FTps.hpp"

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Classes
class	Array1D< T >
	One-dimensional array. More...

class	FMatrix< T, M, N >
	A templated representation for matrices. More...

class	FMonomial< N >
	Representation of the exponents for a monomial with fixed dimension. More...

class	FTpsRep< T, N >

class	FVector< T, int >
	A templated representation for vectors. More...

class	FVps< T, N >
	Vector truncated power series in n variables. More...

class	FTps< T, N >
	Truncated power series in N variables of type T. More...

Functions
template<class T , int N>
FTps< T, N >	operator+ (const FTps< T, N > &, const FTps< T, N > &)
	Add. More...

template<class T , int N>
FTps< T, N >	operator- (const FTps< T, N > &, const FTps< T, N > &)
	Subtract. More...

template<class T , int N>
FTps< T, N >	operator+ (const FTps< T, N > &, const T &)
	Add. More...

template<class T , int N>
FTps< T, N >	operator- (const FTps< T, N > &, const T &)
	Subtract. More...

template<class T , int N>
FTps< T, N >	operator+ (const T &, const FTps< T, N > &)
	Add. More...

template<class T , int N>
FTps< T, N >	operator- (const T &, const FTps< T, N > &)
	Subtract. More...

template<class T , int N>
FTps< T, N >	operator* (const FTps< T, N > &, const FTps< T, N > &)
	Multiply. More...

template<class T , int N>
FTps< T, N >	operator/ (const FTps< T, N > &, const FTps< T, N > &)
	Divide. More...

template<class T , int N>
FTps< T, N >	operator* (const FTps< T, N > &, const T &)
	Multiply. More...

template<class T , int N>
FTps< T, N >	operator/ (const FTps< T, N > &, const T &)
	Divide. More...

template<class T , int N>
FTps< T, N >	operator* (const T &, const FTps< T, N > &)
	Multiply. More...

template<class T , int N>
FTps< T, N >	operator/ (const T &, const FTps< T, N > &)
	Divide. More...

template<class T , int N>
bool	operator== (const T &, const FTps< T, N > &)
	Equality. More...

template<class T , int N>
bool	operator!= (const T &, const FTps< T, N > &)
	Inequality. More...

template<class T , int N>
FVps< T, N >	ExpMap (const FTps< T, N > &H, int trunc=FTps< T, N >::EXACT)
	Build the exponential series. More...

template<class T , int N>
FTps< T, N >	ExpMap (const FTps< T, N > &H, const FTps< T, N > &f, int trunc=FTps< T, N >::EXACT)
	Build the exponential series. More...

template<class T , int N>
FTps< T, N >	PoissonBracket (const FTps< T, N > &f, const FTps< T, N > &g, int trunc=FTps< T, N >::EXACT)
	Poisson bracket. More...

template<class T , int N>
std::istream &	operator>> (std::istream &is, FTps< T, N > &)
	Extract FTps from stream [b]is[/b]. More...

template<class T , int N>
std::ostream &	operator<< (std::ostream &os, const FTps< T, N > &)
	Insert FTps into stream [b]os[/b]. More...

Function Documentation

template<class T , int N>

FVps<T, N> ExpMap	(	const FTps< T, N > &	H,
		int	trunc = `FTps< T, N >::EXACT`
	)

Build the exponential series.

Definition at line 1994 of file FTps.hpp.

References ExpMap().

Referenced by ThickMapper::applyDrift(), LieMap< T >::ExpMap(), ExpMap(), Period::fill(), FNormalForm< N >::FNormalForm(), MapGenerator< Value_type, Size_type, Series_type, Map_type, Hamiltonian_type, Space_charge_type >::generateMap(), RbendMap::getBodyMap(), DragtFinnMap< N >::operator FVps< double, 2 *N >(), ThickTracker::track_m(), ThickMapper::visitMultipole(), ThickMapper::visitRBend(), and ThickMapper::visitSBend().

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template<class T , int N>

FTps<T, N> ExpMap	(	const FTps< T, N > &	H,
		const FTps< T, N > &	f,
		int	trunc = `FTps< T, N >::EXACT`
	)

Build the exponential series.

Definition at line 2000 of file FTps.hpp.

References FTps< T, N >::derivative(), endl(), FTps< T, N >::getMinOrder(), FTps< T, N >::getTruncOrder(), min(), FTps< T, N >::multiply(), FTps< T, N >::setTruncOrder(), and T.

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template<class T , int N>

bool operator!=	(	const T &	,
		const FTps< T, N > &
	)

Inequality.

Definition at line 1988 of file FTps.hpp.

template<class T , int N>

FTps<T, N> operator*	(	const FTps< T, N > &	,
		const FTps< T, N > &
	)

Multiply.

Definition at line 1942 of file FTps.hpp.

References FTps< T, N >::multiply().

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template<class T , int N>

FTps<T, N> operator*	(	const FTps< T, N > &	,
		const T &
	)

Multiply.

Definition at line 1955 of file FTps.hpp.

template<class T , int N>

FTps<T, N> operator*	(	const T &	,
		const FTps< T, N > &
	)

Multiply.

Definition at line 1969 of file FTps.hpp.

template<class T , int N>

FTps<T, N> operator+	(	const FTps< T, N > &	,
		const FTps< T, N > &
	)

Add.

Definition at line 1802 of file FTps.hpp.

References FTps< T, N >::begin(), FTps< T, N >::getMaxOrder(), FTps< T, N >::getMinOrder(), FTps< T, N >::getTruncOrder(), max(), min(), FTps< T, N >::orderEnd(), FTps< T, N >::orderStart(), and T.

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template<class T , int N>

FTps<T, N> operator+	(	const FTps< T, N > &	,
		const T &
	)

Add.

Definition at line 1914 of file FTps.hpp.

template<class T , int N>

FTps<T, N> operator+	(	const T &	,
		const FTps< T, N > &
	)

Add.

Definition at line 1928 of file FTps.hpp.

template<class T , int N>

FTps<T, N> operator-	(	const FTps< T, N > &	,
		const FTps< T, N > &
	)

Subtract.

Definition at line 1858 of file FTps.hpp.

References FTps< T, N >::begin(), FTps< T, N >::getMaxOrder(), FTps< T, N >::getMinOrder(), FTps< T, N >::getTruncOrder(), max(), min(), FTps< T, N >::orderEnd(), FTps< T, N >::orderStart(), and T.

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template<class T , int N>

FTps<T, N> operator-	(	const FTps< T, N > &	,
		const T &
	)

Subtract.

Definition at line 1921 of file FTps.hpp.

template<class T , int N>

FTps<T, N> operator-	(	const T &	,
		const FTps< T, N > &
	)

Subtract.

Definition at line 1935 of file FTps.hpp.

template<class T , int N>

FTps<T, N> operator/	(	const FTps< T, N > &	,
		const FTps< T, N > &
	)

Divide.

Definition at line 1949 of file FTps.hpp.

References FTps< T, N >::divide().

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template<class T , int N>

FTps<T, N> operator/	(	const FTps< T, N > &	,
		const T &
	)

Divide.

Definition at line 1962 of file FTps.hpp.

template<class T , int N>

FTps<T, N> operator/	(	const T &	,
		const FTps< T, N > &
	)

Divide.

Definition at line 1976 of file FTps.hpp.

References FTps< T, N >::inverse().

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template<class T , int N>

std::ostream& operator<<	(	std::ostream &	os,
		const FTps< T, N > &
	)

Insert FTps into stream [b]os[/b].

Definition at line 2098 of file FTps.hpp.

template<class T , int N>

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

Equality.

Definition at line 1982 of file FTps.hpp.

template<class T , int N>

std::istream& operator>>	(	std::istream &	is,
		FTps< T, N > &
	)

Extract FTps from stream [b]is[/b].

Definition at line 2092 of file FTps.hpp.

References FTps< T, N >::get().

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template<class T , int N>

FTps<T, N> PoissonBracket	(	const FTps< T, N > &	f,
		const FTps< T, N > &	g,
		int	trunc = `FTps< T, N >::EXACT`
	)

Poisson bracket.

Definition at line 2058 of file FTps.hpp.

References FTps< T, N >::derivative(), FTps< T, N >::getMaxOrder(), FTps< T, N >::getMinOrder(), FTps< T, N >::getTruncOrder(), max(), min(), and FTps< T, N >::multiply().

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Classes

Functions

Function Documentation