X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Finifcns.h;h=258ee2e2ef681f725ea05768a53127778055cd9e;hp=ecdfa897aa9ff8a1a364c2fb29e7d5ab5c64786a;hb=4aaa6006a9408999aa4fe336a14180035aa8c791;hpb=a8507b8af1c08d9b27d98d57f95c7ca1a8671e27 diff --git a/ginac/inifcns.h b/ginac/inifcns.h index ecdfa897..258ee2e2 100644 --- a/ginac/inifcns.h +++ b/ginac/inifcns.h @@ -1,8 +1,9 @@ /** @file inifcns.h * - * Interface to GiNaC's initially known functions. - * - * GiNaC Copyright (C) 1999 Johannes Gutenberg University Mainz, Germany + * Interface to GiNaC's initially known functions. */ + +/* + * 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 @@ -22,6 +23,20 @@ #ifndef __GINAC_INIFCNS_H__ #define __GINAC_INIFCNS_H__ +#include "function.h" +#include "ex.h" + +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) @@ -73,9 +88,51 @@ DECLARE_FUNCTION_1P(Li2) /** Trilogarithm. */ DECLARE_FUNCTION_1P(Li3) -/** Gamma function. */ -DECLARE_FUNCTION_1P(gamma) +// overloading at work: we cannot use the macros here +/** Riemann's Zeta-function. */ +class zeta1_SERIAL { public: static unsigned serial; }; +template +inline function zeta(const T1 & p1) { + return function(zeta1_SERIAL::serial, ex(p1)); +} +/** Derivatives of Riemann's Zeta-function. */ +class zeta2_SERIAL { public: static unsigned serial; }; +template +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(const ex & x) +{ + return is_the_function(x) || is_the_function(x); +} +/** 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 +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 +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(const ex & x) +{ + return is_the_function(x) || is_the_function(x); +} + /** Factorial function. */ DECLARE_FUNCTION_1P(factorial) @@ -85,13 +142,26 @@ DECLARE_FUNCTION_2P(binomial) /** Order term function (for truncated power series). */ DECLARE_FUNCTION_1P(Order) -ex lsolve(ex eqns,ex symbols); +/** Polylogarithm and multiple polylogarithm. */ +DECLARE_FUNCTION_2P(Li) + +/** Nielsen's generalized polylogarithm. */ +DECLARE_FUNCTION_3P(S) -ex ncpower(ex basis, unsigned exponent); +/** Harmonic polylogarithm. */ +DECLARE_FUNCTION_2P(H) -inline bool is_order_function(ex const & e) +/** Multiple zeta value. */ +DECLARE_FUNCTION_1P(mZeta) + +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); } +} // namespace GiNaC + #endif // ndef __GINAC_INIFCNS_H__