X-Git-Url: https://ginac.de/ginac.git//ginac.git?a=blobdiff_plain;f=ginac%2Finifcns.h;h=9781d935c1a2e777a2dfbf9326fba1da8eae8d22;hb=95f3dcd0705c227dd2be3cf8b340afc14c186d5a;hp=095abf7cd5427cf1428feaf5f8ba319009ae0677;hpb=66c0f31c678e6c1938d637636b230ea376c157c1;p=ginac.git diff --git a/ginac/inifcns.h b/ginac/inifcns.h index 095abf7c..9781d935 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) 1999-2000 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 @@ -22,8 +23,18 @@ #ifndef __GINAC_INIFCNS_H__ #define __GINAC_INIFCNS_H__ -#include -#include +#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) /** Sine. */ DECLARE_FUNCTION_1P(sin) @@ -76,9 +87,37 @@ DECLARE_FUNCTION_1P(Li2) /** Trilogarithm. */ DECLARE_FUNCTION_1P(Li3) -/** Gamma function. */ -DECLARE_FUNCTION_1P(gamma) +// 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); +} + +/** Gamma-function. */ +DECLARE_FUNCTION_1P(lgamma) +DECLARE_FUNCTION_1P(tgamma) + +/** Beta-function. */ +DECLARE_FUNCTION_2P(beta) +// overloading at work: we cannot use the macros +/** Psi-function (aka digamma-function). */ +extern const unsigned function_index_psi1; +inline function psi(const ex & p1) { + return function(function_index_psi1, 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); +} + /** Factorial function. */ DECLARE_FUNCTION_1P(factorial) @@ -88,13 +127,20 @@ DECLARE_FUNCTION_2P(binomial) /** Order term function (for truncated power series). */ DECLARE_FUNCTION_1P(Order) -ex lsolve(ex const &eqns, ex const &symbols); +/** Inert partial differentiation operator. */ +DECLARE_FUNCTION_2P(Derivative) + +ex lsolve(const ex &eqns, const ex &symbols); -ex ncpower(ex const &basis, unsigned exponent); +ex ncpower(const ex &basis, unsigned exponent); -inline bool is_order_function(ex const & e) +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 +} // namespace GiNaC +#endif // ndef NO_NAMESPACE_GINAC + #endif // ndef __GINAC_INIFCNS_H__