FVps.h File Reference

#include <algorithm>
#include <iosfwd>
#include "FixedAlgebra/FVps.hpp"

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

Functions
template<class T, int N>
FVps< T, N >	operator+ (const FVps< T, N > &lhs, const FVps< T, N > &rhs)
	Add.
template<class T, int N>
FVps< T, N >	operator- (const FVps< T, N > &lhs, const FVps< T, N > &rhs)
	Subtract.
template<class T, int N>
FVps< T, N >	operator+ (const FVps< T, N > &lhs, const FVector< T, N > &rhs)
	Add.
template<class T, int N>
FVps< T, N >	operator- (const FVps< T, N > &lhs, const FVector< T, N > &rhs)
	Subtract.
template<class T, int N>
FVps< T, N >	operator+ (const FVector< T, N > &lhs, const FVps< T, N > &rhs)
	Add.
template<class T, int N>
FVps< T, N >	operator- (const FVector< T, N > &lhs, const FVps< T, N > &rhs)
	Subtract.
template<class T, int N>
FVector< T, N >	operator* (const FVps< T, N > &lhs, const FVector< T, N > &rhs)
	Multiply.
template<class T, int N>
FVps< T, N >	operator* (const FVps< T, N > &lhs, const FTps< T, N > &rhs)
	Multiply.
template<class T, int N>
FVps< T, N >	operator* (const FTps< T, N > &lhs, const FVps< T, N > &rhs)
	Multiply.
template<class T, int N>
FVps< T, N >	operator* (const FVps< T, N > &lhs, const T &rhs)
	Multiply.
template<class T, int N>
FVps< T, N >	operator* (const T &lhs, const FVps< T, N > &rhs)
	Multiply.
template<class T, int N>
FVps< T, N >	operator* (const FMatrix< T, N, N > &lhs, const FVps< T, N > &rhs)
	Multiply.
template<class T, int N>
FVps< T, N >	operator/ (const FVps< T, N > &lhs, const FTps< T, N > &rhs)
	Divide.
template<class T, int N>
FVps< T, N >	operator/ (const FVps< T, N > &lhs, const T &rhs)
	Divide.
template<class T, int N>
FVps< T, N >	ExpMap (const FTps< T, N > &H, const FVps< T, N > &M, int trunc=(FTps< T, N >::EXACT))
	Build the exponential series.
template<class T, int N>
FVps< T, N >	PoissonBracket (const FTps< T, N > &x, const FVps< T, N > &y, int trunc=(FTps< T, N >::EXACT))
	Poisson bracket.
template<class T, int N>
std::istream &	operator>> (std::istream &is, FVps< T, N > &)
	Extract FVps from stream [b]is[/b].
template<class T, int N>
std::ostream &	operator<< (std::ostream &os, const FVps< T, N > &vps)
	Insert FVps to stream [b]os[/b].

Function Documentation

ExpMap()

template<class T, int N>

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

Build the exponential series.

Definition at line 1201 of file FVps.hpp.

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

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operator*() [1/6]

template<class T, int N>

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

Multiply.

Definition at line 1179 of file FVps.hpp.

References FVps< T, N >::substituteInto().

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operator*() [2/6]

template<class T, int N>

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

Multiply.

Definition at line 1156 of file FVps.hpp.

operator*() [3/6]

template<class T, int N>

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

Multiply.

Definition at line 1148 of file FVps.hpp.

operator*() [4/6]

template<class T, int N>

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

Multiply.

Definition at line 1137 of file FVps.hpp.

References FTps< T, N >::evaluate(), and FVps< T, N >::getComponent().

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operator*() [5/6]

template<class T, int N>

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

Multiply.

Definition at line 1164 of file FVps.hpp.

operator*() [6/6]

template<class T, int N>

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

Multiply.

Definition at line 1172 of file FVps.hpp.

operator+() [1/3]

template<class T, int N>

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

Add.

Definition at line 1121 of file FVps.hpp.

operator+() [2/3]

template<class T, int N>

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

Add.

Definition at line 1105 of file FVps.hpp.

operator+() [3/3]

template<class T, int N>

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

Add.

Definition at line 1089 of file FVps.hpp.

operator-() [1/3]

template<class T, int N>

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

Subtract.

Definition at line 1129 of file FVps.hpp.

operator-() [2/3]

template<class T, int N>

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

Subtract.

Definition at line 1113 of file FVps.hpp.

operator-() [3/3]

template<class T, int N>

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

Subtract.

Definition at line 1097 of file FVps.hpp.

operator/() [1/2]

template<class T, int N>

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

Divide.

Definition at line 1185 of file FVps.hpp.

operator/() [2/2]

template<class T, int N>

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

Divide.

Definition at line 1193 of file FVps.hpp.

operator<<()

template<class T, int N>

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

Insert FVps to stream [b]os[/b].

Definition at line 1281 of file FVps.hpp.

References FVps< T, N >::put().

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operator>>()

template<class T, int N>

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

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

Definition at line 1275 of file FVps.hpp.

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

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PoissonBracket()

template<class T, int N>

FVps< T, N > PoissonBracket	(	const FTps< T, N > &	x,
		const FVps< T, N > &	y,
		int	trunc = (FTps< T, N >::EXACT) )

Poisson bracket.

Definition at line 1266 of file FVps.hpp.

References PoissonBracket().

Referenced by PoissonBracket().

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