GiNaC::UnivariateRepresentation Class Reference

An implementation of a multi dimensional real algebraic number providing arithmetic and relational operations. More...

#include <UnivariateRepresentation.h>

Inheritance diagram for GiNaC::UnivariateRepresentation:

Collaboration diagram for GiNaC::UnivariateRepresentation:

Public Member Functions
	UnivariateRepresentation (const RationalUnivariatePolynomial &rootSource, const RationalUnivariatePolynomial &denominator, const list< RationalUnivariatePolynomial > &numerators, const vector< symbol > &variables) throw ( invalid_argument )
	~UnivariateRepresentation ()
const RationalUnivariatePolynomial	RootSource () const
const RationalUnivariatePolynomial	Denominator () const
const list < RationalUnivariatePolynomial >	Numerators () const
const UnivariateRepresentation	add (UnivariateRepresentation o) throw ( invalid_argument )
	This number gets all values of the other.
const UnivariateRepresentation	minus () const
	Returns the negative value, allocated on the heap.
const UnivariateRepresentation	mul (UnivariateRepresentation o) throw ( invalid_argument )
	Multiplies two real algebraic numbers and returns a reference to their product, allocated on the heap.
const UnivariateRepresentation	inverse () const throw ( invalid_argument )
	Returns the inverse, allocated on the heap.
Protected Member Functions
bool	is_equal_same_type (const basic &other)
void	do_print (const print_context &c, unsigned level=0) const
ex	eval (int level=0) const
Private Attributes
RationalUnivariatePolynomial	mRootSource
RationalUnivariatePolynomial	mDenominator
list < RationalUnivariatePolynomial >	mNumerators
vector< symbol >	mVariables

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Detailed Description

An implementation of a multi dimensional real algebraic number providing arithmetic and relational operations.

Todo:

Write comprehensive description of how real algebraic number is represented via univariate representation and how the other features like getOrder() etc. are implemented.

Author:

Ulrich Loup

Since:

2011-04-30

Version:

2011-10-30

See also:

ISBN 0-387-94090-1 and ISBN-13: 978-3642069642

Notation is following http://www.possibility.com/Cpp/CppCodingStandard.html.

Definition at line 47 of file UnivariateRepresentation.h.

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Constructor & Destructor Documentation

GiNaC::UnivariateRepresentation::UnivariateRepresentation	(	const RationalUnivariatePolynomial &	rootSource,
		const RationalUnivariatePolynomial &	denominator,
		const list< RationalUnivariatePolynomial > &	numerators,
		const vector< symbol > &	variables
	)		throw ( invalid_argument )

Parameters:

rootSource
denominator
numerators
variables

GiNaC::UnivariateRepresentation::~UnivariateRepresentation

(

)

---

Member Function Documentation

const UnivariateRepresentation GiNaC::UnivariateRepresentation::add

(

UnivariateRepresentation

o

)

throw ( invalid_argument )

This number gets all values of the other.

Adds two real algebraic numbers and returns a reference to their sum, allocated on the heap.

Parameters:

o

Returns:

sum allocated on the heap

const RationalUnivariatePolynomial GiNaC::UnivariateRepresentation::Denominator

(

)

const

Returns:

the denominator of the rational functions

void GiNaC::UnivariateRepresentation::do_print	(	const print_context &	c,
		unsigned	level = 0
	)		const [protected]

ex GiNaC::UnivariateRepresentation::eval

(

int

level = 0

)

const [protected]

const UnivariateRepresentation GiNaC::UnivariateRepresentation::inverse

(

)

const throw ( invalid_argument )

Returns the inverse, allocated on the heap.

Returns:

inverse value allocated on the heap

bool GiNaC::UnivariateRepresentation::is_equal_same_type

(

const basic &

other

)

[protected]

const UnivariateRepresentation GiNaC::UnivariateRepresentation::minus

(

)

const

Returns the negative value, allocated on the heap.

Returns:

negative value allocated on the heap

const UnivariateRepresentation GiNaC::UnivariateRepresentation::mul

(

UnivariateRepresentation

o

)

throw ( invalid_argument )

Multiplies two real algebraic numbers and returns a reference to their product, allocated on the heap.

Parameters:

o

Returns:

product allocated on the heap

const list<RationalUnivariatePolynomial> GiNaC::UnivariateRepresentation::Numerators

(

)

const

Returns:

polynomial being the numerators of the rational functions

const RationalUnivariatePolynomial GiNaC::UnivariateRepresentation::RootSource

(

)

const

Returns:

polynomial being the source of the roots for evaluating with the rational functions

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Field Documentation

RationalUnivariatePolynomial GiNaC::UnivariateRepresentation::mDenominator [private]

Definition at line 177 of file UnivariateRepresentation.h.

list<RationalUnivariatePolynomial> GiNaC::UnivariateRepresentation::mNumerators [private]

Definition at line 178 of file UnivariateRepresentation.h.

RationalUnivariatePolynomial GiNaC::UnivariateRepresentation::mRootSource [private]

Definition at line 176 of file UnivariateRepresentation.h.

vector<symbol> GiNaC::UnivariateRepresentation::mVariables [private]

Definition at line 179 of file UnivariateRepresentation.h.

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

• UnivariateRepresentation.h