X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Fnormal.h;h=71bf7548bfbb0fbc7455579e559643e8b3abb6c9;hp=f3e8920dbea4a1e1454d5fb7a592af42f150826f;hb=835af1e00da6ec929466e961357d4ef4917b1fb9;hpb=956eeb82c513a723e864edefa857133282cf692b diff --git a/ginac/normal.h b/ginac/normal.h index f3e8920d..71bf7548 100644 --- a/ginac/normal.h +++ b/ginac/normal.h @@ -1,10 +1,12 @@ /** @file normal.h * - * Functions for polynomial quotient and remainder, GCD and LCM computation - * and square-free factorization. */ + * This file defines several functions that work on univariate and + * multivariate polynomials and rational functions. + * These functions include polynomial quotient and remainder, GCD and LCM + * computation, square-free factorization and rational function normalization. */ /* - * GiNaC Copyright (C) 1999-2000 Johannes Gutenberg University Mainz, Germany + * GiNaC Copyright (C) 1999-2002 Johannes Gutenberg University Mainz, Germany * * This program is free software; you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by @@ -24,9 +26,9 @@ #ifndef __GINAC_NORMAL_H__ #define __GINAC_NORMAL_H__ -#ifndef NO_NAMESPACE_GINAC +#include "lst.h" + namespace GiNaC { -#endif // ndef NO_NAMESPACE_GINAC class ex; class symbol; @@ -37,6 +39,9 @@ extern ex quo(const ex &a, const ex &b, const symbol &x, bool check_args = true) // Remainder r(x) of polynomials a(x) and b(x) in Q[x], so that a(x)=b(x)*q(x)+r(x) extern ex rem(const ex &a, const ex &b, const symbol &x, bool check_args = true); +// Decompose rational function a(x)=N(x)/D(x) into Q(x)+R(x)/D(x) with degree(R, x) < degree(D, x) +extern ex decomp_rational(const ex &a, const symbol &x); + // Pseudo-remainder of polynomials a(x) and b(x) in Z[x] extern ex prem(const ex &a, const ex &b, const symbol &x, bool check_args = true); @@ -50,10 +55,11 @@ extern ex gcd(const ex &a, const ex &b, ex *ca = NULL, ex *cb = NULL, bool check extern ex lcm(const ex &a, const ex &b, bool check_args = true); // Square-free factorization of a polynomial a(x) -extern ex sqrfree(const ex &a, const symbol &x); +extern ex sqrfree(const ex &a, const lst &l = lst()); + +// Square-free partial fraction decomposition of a rational function a(x) +extern ex sqrfree_parfrac(const ex & a, const symbol & x); -#ifndef NO_NAMESPACE_GINAC } // namespace GiNaC -#endif // ndef NO_NAMESPACE_GINAC #endif // ndef __GINAC_NORMAL_H__