/** @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) 1999-2004 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
#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;
// 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);
+extern ex quo(const ex &a, const ex &b, const ex &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);
+extern ex rem(const ex &a, const ex &b, const ex &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 ex &x);
+
+// Pseudo-remainder of polynomials a(x) and b(x) in Q[x]
+extern ex prem(const ex &a, const ex &b, const ex &x, bool check_args = true);
-// 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);
+// Pseudo-remainder of polynomials a(x) and b(x) in Q[x]
+extern ex sprem(const ex &a, const ex &b, const ex &x, bool check_args = true);
// Exact polynomial division of a(X) by b(X) in Q[X] (quotient returned in q), returns false when exact division fails
extern bool divide(const ex &a, const ex &b, ex &q, 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);
+
+// Collect common factors in sums.
+extern ex collect_common_factors(const ex & e);
-#ifndef NO_NAMESPACE_GINAC
} // namespace GiNaC
-#endif // ndef NO_NAMESPACE_GINAC
#endif // ndef __GINAC_NORMAL_H__