powerprod.H File Reference

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Detailed Description

declaration of the classes handling power products. A power product is a monomial x^ay^bz^c... We treat these as a sequence of (nonnegative) integers giving the powers.

Definition in file powerprod.H.

#include "tables.H"
#include <iostream>
#include <fstream>
#include <sstream>
#include <string>
#include <iomanip>
#include "alphabet.H"

Go to the source code of this file.

Classes
class	PowProd
	Powprod class: represents power products, that is things of the form X^aY^bZ^c... More...
Defines
#define	LEX   1
	three orders on power products
#define	LEXSV   101
#define	DEGLEX   2
#define	DEGLEXSV   102
#define	DEGREVLEX   3
#define	DEGREVLEXSV   103

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Define Documentation

#define LEX   1

three orders on power products there are at least three natural ways of odering powers products, usually called LEX, DEGLEX, and DEGREVLEX. The main program should set the order with PowProd::use_order(DEGLEX) for example. Otherwise LEX is assumed by default. IMPORTANT: if you create some polynomials after setting the order to, say, LEX, and if you then change the order to, say, DEGLEX, then you must NOT use these polynomials at all until the order is back to LEX. This is because polynomials rely on the order so as to sort out internally the power products that compose them. When you change the order, you have to start from scratch again, basically. Definition at line 38 of file powerprod.H. Referenced by PowProd::operator<().

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