FTps.hpp File Reference

#include "FixedAlgebra/FTps.h"
#include "FixedAlgebra/FTpsData.h"
#include "Algebra/Array1D.h"
#include "FixedAlgebra/FArray1D.h"
#include "FixedAlgebra/FMatrix.h"
#include "FixedAlgebra/FMonomial.h"
#include "FixedAlgebra/FVector.h"
#include "Utilities/ConvergenceError.h"
#include "Utilities/DivideError.h"
#include "Utilities/FormatError.h"
#include "Utilities/LogicalError.h"
#include <climits>
#include <algorithm>
#include <iomanip>
#include <iostream>
#include <functional>
#include <string>

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Classes
class	FTpsRep< T, N >

Functions
template<class T, int N>
FTps< T, N >	operator+ (const FTps< T, N > &lhs, const FTps< T, N > &rhs)
	Add.
template<class T, int N>
FTps< T, N >	operator- (const FTps< T, N > &lhs, const FTps< T, N > &rhs)
	Subtract.
template<class T, int N>
FTps< T, N >	operator+ (const FTps< T, N > &lhs, const T &rhs)
	Add.
template<class T, int N>
FTps< T, N >	operator- (const FTps< T, N > &lhs, const T &rhs)
	Subtract.
template<class T, int N>
FTps< T, N >	operator+ (const T &lhs, const FTps< T, N > &rhs)
	Add.
template<class T, int N>
FTps< T, N >	operator- (const T &lhs, const FTps< T, N > &rhs)
	Subtract.
template<class T, int N>
FTps< T, N >	operator* (const FTps< T, N > &lhs, const FTps< T, N > &rhs)
	Multiply.
template<class T, int N>
FTps< T, N >	operator/ (const FTps< T, N > &lhs, const FTps< T, N > &rhs)
	Divide.
template<class T, int N>
FTps< T, N >	operator* (const FTps< T, N > &lhs, const T &rhs)
	Multiply.
template<class T, int N>
FTps< T, N >	operator/ (const FTps< T, N > &lhs, const T &rhs)
	Divide.
template<class T, int N>
FTps< T, N >	operator* (const T &lhs, const FTps< T, N > &rhs)
	Multiply.
template<class T, int N>
FTps< T, N >	operator/ (const T &lhs, const FTps< T, N > &rhs)
	Divide.
template<class T, int N>
bool	operator== (const T &lhs, const FTps< T, N > &rhs)
	Equality.
template<class T, int N>
bool	operator!= (const T &lhs, const FTps< T, N > &rhs)
	Inequality.
template<class T, int N>
FVps< T, N >	ExpMap (const FTps< T, N > &H, int trunc)
	Build the exponential series.
template<class T, int N>
FTps< T, N >	ExpMap (const FTps< T, N > &H, const FTps< T, N > &f, int trunc)
	Build the exponential series.
template<class T, int N>
FTps< T, N >	PoissonBracket (const FTps< T, N > &f, const FTps< T, N > &g, int trunc)
	Poisson bracket.
template<class T, int N>
std::istream &	operator>> (std::istream &is, FTps< T, N > &tps)
	Extract FTps from stream [b]is[/b].
template<class T, int N>
std::ostream &	operator<< (std::ostream &os, const FTps< T, N > &tps)
	Insert FTps into stream [b]os[/b].

Variables
template<class T, int N>
const int	FTps< T, N >::EXACT = INT_MAX
template<class T, int N>
FTpsRep< T, N > *	FTps< T, N >::freeList [100]
template<class T, int N>
int	FTps< T, N >::globalTruncOrder

Function Documentation

ExpMap() [1/2]

template<class T, int N>

FTps< T, N > ExpMap	(	const FTps< T, N > &	H,
		const FTps< T, N > &	f,
		int	trunc )

Build the exponential series.

Definition at line 2000 of file FTps.hpp.

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

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ExpMap() [2/2]

template<class T, int N>

FVps< T, N > ExpMap	(	const FTps< T, N > &	H,
		int	trunc )

Build the exponential series.

Definition at line 1994 of file FTps.hpp.

References ExpMap().

Referenced by ExpMap(), MapGenerator< Value_type, Size_type, Series_type, Map_type, Hamiltonian_type, Space_charge_type >::generateMap(), and ThickTracker::track_m().

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operator!=()

template<class T, int N>

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

Inequality.

Definition at line 1988 of file FTps.hpp.

operator*() [1/3]

template<class T, int N>

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

Multiply.

Definition at line 1942 of file FTps.hpp.

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

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operator*() [2/3]

template<class T, int N>

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

Multiply.

Definition at line 1955 of file FTps.hpp.

operator*() [3/3]

template<class T, int N>

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

Multiply.

Definition at line 1969 of file FTps.hpp.

operator+() [1/3]

template<class T, int N>

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

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(), FTps< T, N >::orderEnd(), and FTps< T, N >::orderStart().

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operator+() [2/3]

template<class T, int N>

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

Add.

Definition at line 1914 of file FTps.hpp.

operator+() [3/3]

template<class T, int N>

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

Add.

Definition at line 1928 of file FTps.hpp.

operator-() [1/3]

template<class T, int N>

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

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(), FTps< T, N >::orderEnd(), and FTps< T, N >::orderStart().

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operator-() [2/3]

template<class T, int N>

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

Subtract.

Definition at line 1921 of file FTps.hpp.

operator-() [3/3]

template<class T, int N>

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

Subtract.

Definition at line 1935 of file FTps.hpp.

operator/() [1/3]

template<class T, int N>

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

Divide.

Definition at line 1949 of file FTps.hpp.

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

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operator/() [2/3]

template<class T, int N>

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

Divide.

Definition at line 1962 of file FTps.hpp.

operator/() [3/3]

template<class T, int N>

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

Divide.

Definition at line 1976 of file FTps.hpp.

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

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operator<<()

template<class T, int N>

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

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

Definition at line 2098 of file FTps.hpp.

operator==()

template<class T, int N>

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

Equality.

Definition at line 1982 of file FTps.hpp.

operator>>()

template<class T, int N>

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

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

Definition at line 2092 of file FTps.hpp.

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

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PoissonBracket()

template<class T, int N>

FTps< T, N > PoissonBracket	(	const FTps< T, N > &	f,
		const FTps< T, N > &	g,
		int	trunc )

Poisson bracket.

Definition at line 2058 of file FTps.hpp.

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

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Variable Documentation

FTps< T, N >::EXACT

template<class T, int N>

const int FTps< T, N >::EXACT = INT_MAX

Definition at line 53 of file FTps.hpp.

FTps< T, N >::freeList

template<class T, int N>

FTpsRep<T, N>* FTps< T, N >::freeList[100]

Definition at line 152 of file FTps.hpp.

FTps< T, N >::globalTruncOrder

template<class T, int N>

int FTps< T, N >::globalTruncOrder

Definition at line 155 of file FTps.hpp.