* Added harmonic polylog with signed parameters as H(m,s,x)

[ginac.git] / ginac / inifcns.h

diff --git a/ginac/inifcns.h b/ginac/inifcns.h
index 603edb3ec1854383f5cded07cbaf5d956d3828d7..426a7e09172bb26c1b7cbe91c62cc61f932f2ced 100644 (file)
--- a/ginac/inifcns.h
+++ b/ginac/inifcns.h
@@ -3,7 +3,7 @@
  *  Interface to GiNaC's initially known functions. */
 
 /*
- *  GiNaC Copyright (C) 1999-2000 Johannes Gutenberg University Mainz, Germany
+ *  GiNaC Copyright (C) 1999-2003 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
@@ -26,12 +26,16 @@
 #include "function.h"
 #include "ex.h"
 
-#ifndef NO_NAMESPACE_GINAC
 namespace GiNaC {
-#endif // ndef NO_NAMESPACE_GINAC
 
 /** 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)
@@ -84,36 +88,79 @@ DECLARE_FUNCTION_1P(Li2)
 /** Trilogarithm. */
 DECLARE_FUNCTION_1P(Li3)
 
-// overloading at work: we cannot use the macros
-/** Riemann's Zeta-function. */
-extern const unsigned function_index_zeta1;
-inline function zeta(const ex & p1) {
-    return function(function_index_zeta1, p1);
-}
 /** Derivatives of Riemann's Zeta-function. */
-extern const unsigned function_index_zeta2;
-inline function zeta(const ex & p1, const ex & p2) {
-    return function(function_index_zeta2, p1, p2);
+DECLARE_FUNCTION_2P(zetaderiv)
+
+// 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)
+
+/** Nielsen's generalized polylogarithm. */
+DECLARE_FUNCTION_3P(S)
+
+// overloading at work: we cannot use the macros here
+/** Harmonic polylogarithm with only positive parameters. */
+class H2_SERIAL { public: static unsigned serial; };
+template<typename T1, typename T2>
+inline function H(const T1& p1, const T2& p2) {
+       return function(H2_SERIAL::serial, ex(p1), ex(p2));
+}
+/** Harmonic polylogarithm with signed parameters. */
+class H3_SERIAL { public: static unsigned serial; };
+template<typename T1, typename T2, typename T3>
+inline function H(const T1& p1, const T2& p2, const T3& p3) {
+       return function(H3_SERIAL::serial, ex(p1), ex(p2), ex(p3));
+}
+class H_SERIAL;
+template<> inline bool is_the_function<class H_SERIAL>(const ex& x)
+{
+       return is_the_function<H2_SERIAL>(x) || is_the_function<H3_SERIAL>(x);
 }
 
 /** Gamma-function. */
-DECLARE_FUNCTION_1P(gamma)
+DECLARE_FUNCTION_1P(lgamma)
+DECLARE_FUNCTION_1P(tgamma)
 
 /** Beta-function. */
 DECLARE_FUNCTION_2P(beta)
 
-// overloading at work: we cannot use the macros
+// overloading at work: we cannot use the macros here
 /** Psi-function (aka digamma-function). */
-extern const unsigned function_index_psi1;
-inline function psi(const ex & p1) {
-    return function(function_index_psi1, p1);
+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). */
-extern const unsigned function_index_psi2;
-inline function psi(const ex & p1, const ex & p2) {
-    return function(function_index_psi2, p1, p2);
+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));
+}
+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);
 }
-    
+       
 /** Factorial function. */
 DECLARE_FUNCTION_1P(factorial)
 
@@ -123,17 +170,19 @@ DECLARE_FUNCTION_2P(binomial)
 /** Order term function (for truncated power series). */
 DECLARE_FUNCTION_1P(Order)
 
-ex lsolve(const ex &eqns, const ex &symbols);
-
-ex ncpower(const ex &basis, unsigned exponent);
+ex lsolve(const ex &eqns, const ex &symbols, unsigned options = solve_algo::automatic);
 
+/** 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);
+       return is_ex_the_function(e, Order);
 }
 
-#ifndef NO_NAMESPACE_GINAC
+/** Converts a given list containing parameters for H in Remiddi/Vermaseren notation into
+ *  the corresponding GiNaC functions.
+ */
+ex convert_H_notation(const ex& parameterlst, const ex& arg);
+
 } // namespace GiNaC
-#endif // ndef NO_NAMESPACE_GINAC
 
 #endif // ndef __GINAC_INIFCNS_H__