/** @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. */
-#ifndef NORMAL_H
-#define NORMAL_H
+/*
+ * GiNaC Copyright (C) 1999-2001 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
+ * the Free Software Foundation; either version 2 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
+ */
-#include "ex.h"
+#ifndef __GINAC_NORMAL_H__
+#define __GINAC_NORMAL_H__
-class symbol;
+#include "lst.h"
+namespace GiNaC {
+
+class ex;
+class symbol;
// Quotient q(x) of polynomials a(x) and b(x) in Q[x], so that a(x)=b(x)*q(x)+r(x)
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);
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);
+
+} // namespace GiNaC
-#endif
+#endif // ndef __GINAC_NORMAL_H__