xyMonom< ccoeff > Class Template Reference
[Algebra objects, Polynoms]

Represents a monom template in two variables. Therefore negative exponents are not allowed. More...

#include <xyMonom.h>

Collaboration diagram for xyMonom< ccoeff >:

Public Member Functions
void	createFromStream (std::stringstream &monomListStream)
Constructors

	xyMonom ()
	xyMonom (ccoeff _coeff, int _x_exp, int _y_exp)
	xyMonom (std::stringstream &sstream)
	constructs a monom from a input stringstream , see detailed description for format
	xyMonom (std::string str)
Monom exponent access

unsigned int	getDegree () const
unsigned int	getXExp () const
unsigned int	getYExp () const
void	setExp (int _x_exp, int _y_exp)
Monom coefficient access

ccoeff	getCoeff () const
void	setCoeff (ccoeff _coeff)
evaluate xyMonom

template<class IMultiplyCoeffWithVariable , class IMultiplyVariables , class ResultType >
ResultType	substitute (const typename IMultiplyVariables::ElementType &x, const typename IMultiplyVariables::ElementType &y, const IMultiplyCoeffWithVariable &imultCoeffXVariable, const IMultiplyVariables &imultVariableXVariable) const
template<class IMultiplyRing >
IMultiplyRing::ElementType	substitute2 (const typename IMultiplyRing::ElementType &x, const typename IMultiplyRing::ElementType &y, const IMultiplyRing &imult) const
Protected Attributes
ccoeff	coeff
	monom coeffitient
xyExpPair	exponents
	monom exponents of x and y
std::string	monomString
	monom-representing string

Detailed Description

template<class ccoeff>
class xyMonom< ccoeff >

Definition at line 56 of file xyMonom.h.

Constructor & Destructor Documentation

template<class ccoeff >

xyMonom< ccoeff >::xyMonom ( ) [inline]

Definition at line 183 of file xyMonom.h.

References xyMonom< ccoeff >::coeff, xyMonom< ccoeff >::exponents, and xyExpPair::set().

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template<class ccoeff >

xyMonom< ccoeff >::xyMonom	(	ccoeff	_coeff,
		int	_x_exp,
		int	_y_exp
	)			`[inline]`

Definition at line 379 of file xyMonom.h.

References xyMonom< ccoeff >::coeff, xyMonom< ccoeff >::exponents, and xyExpPair::set().

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template<class ccoeff >

xyMonom< ccoeff >::xyMonom ( std::stringstream & monomListStream ) [inline]

reads xy-monom from input stream.
/ For coefficient format conventions see class ccoeff and
/ for variable exponent format conventions xyExpPair(stringtream)

Precondition:: : coeff kann negiert werden (implementiert den 'operator-'

Definition at line 371 of file xyMonom.h.

References xyMonom< ccoeff >::createFromStream().

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template<class ccoeff >

xyMonom< ccoeff >::xyMonom ( std::string str ) [inline]

Definition at line 355 of file xyMonom.h.

References xyMonom< ccoeff >::createFromStream().

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Member Function Documentation

template<class ccoeff >

void xyMonom< ccoeff >::createFromStream ( std::stringstream & monomListStream ) [inline]

Definition at line 232 of file xyMonom.h.

References xyMonom< ccoeff >::coeff, xyMonom< ccoeff >::exponents, and extractChar().

Referenced by xyMonom< ccoeff >::xyMonom().

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template<class ccoeff >

ccoeff xyMonom< ccoeff >::getCoeff ( ) const [inline]

Definition at line 213 of file xyMonom.h.

References xyMonom< ccoeff >::coeff.

template<class ccoeff >

unsigned int xyMonom< ccoeff >::getDegree ( ) const [inline]

Definition at line 190 of file xyMonom.h.

References xyMonom< ccoeff >::exponents, and xyExpPair::getDegree().

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template<class ccoeff >

unsigned int xyMonom< ccoeff >::getXExp ( ) const [inline]

Definition at line 197 of file xyMonom.h.

References xyMonom< ccoeff >::exponents, and xyExpPair::getXExp().

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template<class ccoeff >

unsigned int xyMonom< ccoeff >::getYExp ( ) const [inline]

Definition at line 205 of file xyMonom.h.

References xyMonom< ccoeff >::exponents, and xyExpPair::getYExp().

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template<class ccoeff >

void xyMonom< ccoeff >::setCoeff ( ccoeff _coeff ) [inline]

Definition at line 226 of file xyMonom.h.

References xyMonom< ccoeff >::coeff.

template<class ccoeff >

void xyMonom< ccoeff >::setExp	(	int	_x_exp,
		int	_y_exp
	)			`[inline]`

Definition at line 219 of file xyMonom.h.

References xyMonom< ccoeff >::exponents, and xyExpPair::set().

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template<class ccoeff >

template<class IMultiplyCoeffWithVariable , class IMultiplyVariables , class ResultType >

ResultType xyMonom< ccoeff >::substitute	(	const typename IMultiplyVariables::ElementType &	x,
		const typename IMultiplyVariables::ElementType &	y,
		const IMultiplyCoeffWithVariable &	imultCoeffXVariable,
		const IMultiplyVariables &	imultVariableXVariable
	)			const `[inline]`

Todo:: strenggenommen müsste das Zwischenergebnis immer wissen, zu welchem Ring es gehört. Dies ist aber nicht optimierungsfreundlich

Definition at line 390 of file xyMonom.h.

References xyMonom< ccoeff >::coeff, xyMonom< ccoeff >::exponents, xyExpPair::getXExp(), and xyExpPair::getYExp().

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template<class ccoeff >

template<class IMultiplyRing >

IMultiplyRing::ElementType xyMonom< ccoeff >::substitute2	(	const typename IMultiplyRing::ElementType &	x,
		const typename IMultiplyRing::ElementType &	y,
		const IMultiplyRing &	imult
	)			const `[inline]`