algebrslt.hpp File Reference

#include "config.hpp"
#include "algebrslt.cpp"

Go to the source code of this file.

Namespaces
namespace	Arageli
Defines
#define	ARAGELI_INCLUDE_CPP_WITH_EXPORT_TEMPLATE_algebrslt
Functions
template<typename PolyVec, typename SegVec, typename Rslt, typename P, typename Seg, typename F>
void	Arageli::algebraic_func_rslt (const PolyVec &polyvec, SegVec segvec, Rslt rslt, P &p, Seg &seg, F f)
	Arbitrary function on algebraic numbers based on precomputed resultant.
template<typename P1, typename Seg1, typename P2, typename Seg2, typename P3, typename Seg3>
void	Arageli::algebraic_plus (const P1 &p1, const Seg1 &seg1, const P2 &p2, const Seg2 &seg2, P3 &p3, Seg3 &seg3)
template<typename P1, typename Seg1, typename P2, typename Seg2, typename P3, typename Seg3>
void	Arageli::algebraic_minus (const P1 &p1, const Seg1 &seg1, const P2 &p2, const Seg2 &seg2, P3 &p3, Seg3 &seg3)
template<typename P1, typename Seg1, typename P2, typename Seg2, typename P3, typename Seg3>
void	Arageli::algebraic_multiplies (const P1 &p1, const Seg1 &seg1, const P2 &p2, const Seg2 &seg2, P3 &p3, Seg3 &seg3)
template<typename P1, typename Seg1, typename P2, typename Seg2, typename P3, typename Seg3>
void	Arageli::algebraic_divides (const P1 &p1, const Seg1 &seg1, const P2 &p2, Seg2 seg2, P3 &p3, Seg3 &seg3)

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Detailed Description

This file contains several functions that give possibility to deal with algebraic numbers represendes as a pair: polynomial and segment with one root of that polynomial. All routines based on Loos theorem about roots of resultant of two polynomials.

All given methods ripped from the book (in Russian, but translated from English): Êîìïüþòåðíàÿ àëãåáðà: Ñèìâîëüíûå è àëãåáðàè÷åñêèå âû÷èñëåíèÿ: Ïåð. ñ àíãë./Ïîä ðåä. Á.Áóõáåðãåðà, Äæ.Êîëëèíçà, Ð.Ëîîñà. --- Ì.: Ìèð, 1986.

Definition in file algebrslt.hpp.

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Define Documentation

#define ARAGELI_INCLUDE_CPP_WITH_EXPORT_TEMPLATE_algebrslt

Definition at line 123 of file algebrslt.hpp.

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