X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Finifcns.h;h=73fff2167cae0314acf09b32f8abbc20d042c9ed;hp=84e0dbcbaa1d126111466e49a313fc6e433a120b;hb=6d383491ac7fdc612ebc15778a2db01dbc5660d6;hpb=afdd7fa8c6c0a587f7c80789198551383e8beb7b diff --git a/ginac/inifcns.h b/ginac/inifcns.h index 84e0dbcb..73fff216 100644 --- a/ginac/inifcns.h +++ b/ginac/inifcns.h @@ -3,7 +3,7 @@ * Interface to GiNaC's initially known functions. */ /* - * GiNaC Copyright (C) 1999 Johannes Gutenberg University Mainz, Germany + * GiNaC Copyright (C) 1999-2001 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 @@ -23,12 +23,19 @@ #ifndef __GINAC_INIFCNS_H__ #define __GINAC_INIFCNS_H__ -#include -#include +#include "function.h" +#include "ex.h" -#ifndef NO_GINAC_NAMESPACE namespace GiNaC { -#endif // ndef NO_GINAC_NAMESPACE + +/** 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) @@ -81,25 +88,37 @@ DECLARE_FUNCTION_1P(Li2) /** Trilogarithm. */ DECLARE_FUNCTION_1P(Li3) +// overloading at work: we cannot use the macros here /** Riemann's Zeta-function. */ -DECLARE_FUNCTION_1P(zeta) -//DECLARE_FUNCTION_2P(zeta) +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(gamma) +DECLARE_FUNCTION_1P(lgamma) +DECLARE_FUNCTION_1P(tgamma) + +/** Beta-function. */ +DECLARE_FUNCTION_2P(beta) -/** Psi-function (aka polygamma-function). */ +// overloading at work: we cannot use the macros here +/** Psi-function (aka digamma-function). */ extern const unsigned function_index_psi1; -inline function psi(ex const & p1) { - return function(function_index_psi1, p1); +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(ex const & p1, ex const & p2) { - return function(function_index_psi2, p1, p2); +inline function psi(const ex & p1, const ex & p2) { + return function(function_index_psi2, p1, p2); } -//DECLARE_FUNCTION_1P(psi) -//DECLARE_FUNCTION_2P(psi) - + /** Factorial function. */ DECLARE_FUNCTION_1P(factorial) @@ -109,17 +128,18 @@ 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); } -#ifndef NO_GINAC_NAMESPACE } // namespace GiNaC -#endif // ndef NO_GINAC_NAMESPACE #endif // ndef __GINAC_INIFCNS_H__