* Interface to GiNaC's initially known functions. */
/*
- * GiNaC Copyright (C) 1999 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_INIFCNS_H__
#define __GINAC_INIFCNS_H__
-#include <ginac/function.h>
-#include <ginac/ex.h>
+#include "function.h"
+#include "ex.h"
namespace GiNaC {
+/** Complex conjugate. */
+DECLARE_FUNCTION_1P(conjugate)
+
+/** Absolute value. */
+DECLARE_FUNCTION_1P(abs)
+
+/** Complex sign. */
+DECLARE_FUNCTION_1P(csgn)
+
+/** Eta function: log(a*b) == log(a) + log(b) + eta(a, b). */
+DECLARE_FUNCTION_2P(eta)
+
/** Sine. */
DECLARE_FUNCTION_1P(sin)
/** Trilogarithm. */
DECLARE_FUNCTION_1P(Li3)
-/** Riemann's Zeta-function. */
-DECLARE_FUNCTION_1P(zeta)
-//DECLARE_FUNCTION_2P(zeta)
+/** Derivatives of Riemann's Zeta-function. */
+DECLARE_FUNCTION_2P(zetaderiv)
-/** Gamma-function. */
-DECLARE_FUNCTION_1P(gamma)
+// overloading at work: we cannot use the macros here
+/** Multiple zeta value including Riemann's zeta-function. */
+class zeta1_SERIAL { public: static unsigned serial; };
+template<typename T1>
+inline function zeta(const T1& p1) {
+ return function(zeta1_SERIAL::serial, ex(p1));
+}
+/** Alternating Euler sum or colored MZV. */
+class zeta2_SERIAL { public: static unsigned serial; };
+template<typename T1, typename T2>
+inline function zeta(const T1& p1, const T2& p2) {
+ return function(zeta2_SERIAL::serial, ex(p1), ex(p2));
+}
+class zeta_SERIAL;
+template<> inline bool is_the_function<class zeta_SERIAL>(const ex& x)
+{
+ return is_the_function<zeta1_SERIAL>(x) || is_the_function<zeta2_SERIAL>(x);
+}
+
+/** Polylogarithm and multiple polylogarithm. */
+DECLARE_FUNCTION_2P(Li)
-/** Psi-function (aka polygamma-function). */
-extern unsigned function_index_psi1;
-inline function psi(ex const & p1) {
- return function(function_index_psi1, p1);
+/** Nielsen's generalized polylogarithm. */
+DECLARE_FUNCTION_3P(S)
+
+/** Harmonic polylogarithm. */
+DECLARE_FUNCTION_2P(H)
+
+/** Gamma-function. */
+DECLARE_FUNCTION_1P(lgamma)
+DECLARE_FUNCTION_1P(tgamma)
+
+/** Beta-function. */
+DECLARE_FUNCTION_2P(beta)
+
+// overloading at work: we cannot use the macros here
+/** Psi-function (aka digamma-function). */
+class psi1_SERIAL { public: static unsigned serial; };
+template<typename T1>
+inline function psi(const T1 & p1) {
+ return function(psi1_SERIAL::serial, ex(p1));
+}
+/** Derivatives of Psi-function (aka polygamma-functions). */
+class psi2_SERIAL { public: static unsigned serial; };
+template<typename T1, typename T2>
+inline function psi(const T1 & p1, const T2 & p2) {
+ return function(psi2_SERIAL::serial, ex(p1), ex(p2));
}
-extern unsigned function_index_psi2;
-inline function psi(ex const & p1, ex const & p2) {
- return function(function_index_psi2, p1, p2);
+class psi_SERIAL;
+template<> inline bool is_the_function<class psi_SERIAL>(const ex & x)
+{
+ return is_the_function<psi1_SERIAL>(x) || is_the_function<psi2_SERIAL>(x);
}
-//DECLARE_FUNCTION_1P(psi)
-//DECLARE_FUNCTION_2P(psi)
-
+
/** Factorial function. */
DECLARE_FUNCTION_1P(factorial)
/** Order term function (for truncated power series). */
DECLARE_FUNCTION_1P(Order)
-ex lsolve(ex const &eqns, ex const &symbols);
-
-ex ncpower(ex const &basis, unsigned exponent);
+ex lsolve(const ex &eqns, const ex &symbols, unsigned options = solve_algo::automatic);
-inline bool is_order_function(ex const & e)
+/** Check whether a function is the Order (O(n)) function. */
+inline bool is_order_function(const ex & e)
{
return is_ex_the_function(e, Order);
}
+/** Converts a given list containing parameters for H in Remiddi/Vermaseren notation into
+ * the corresponding GiNaC functions.
+ */
+ex convert_H_to_Li(const ex& parameterlst, const ex& arg);
+
} // namespace GiNaC
#endif // ndef __GINAC_INIFCNS_H__