X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?a=blobdiff_plain;f=ginac%2Finifcns.h;h=f4c00dd0e7041d9d18c08dfcda96f050a9537cab;hb=488cad4c124885230154720041bd51fa4d983a8b;hp=c1f1f24e221e2ef69654d7df9cd9a2fa76ac6eef;hpb=6b3768e8c544739ae53321539cb4d1e3112ded1b;p=ginac.git diff --git a/ginac/inifcns.h b/ginac/inifcns.h index c1f1f24e..f4c00dd0 100644 --- a/ginac/inifcns.h +++ b/ginac/inifcns.h @@ -2,11 +2,40 @@ * * Interface to GiNaC's initially known functions. */ -#ifndef _INIFCNS_H_ -#define _INIFCNS_H_ +/* + * 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 + * the Free Software Foundation; either version 2 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + */ + +#ifndef __GINAC_INIFCNS_H__ +#define __GINAC_INIFCNS_H__ -#include "numeric.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) @@ -59,9 +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) @@ -71,13 +142,14 @@ DECLARE_FUNCTION_2P(binomial) /** Order term function (for truncated power series). */ DECLARE_FUNCTION_1P(Order) -ex lsolve(ex eqns,ex symbols); +ex lsolve(const ex &eqns, const ex &symbols, unsigned options = solve_algo::automatic); -ex ncpower(ex basis, unsigned exponent); - -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); } -#endif // ndef _INIFCNS_H_ +} // namespace GiNaC + +#endif // ndef __GINAC_INIFCNS_H__