X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Finifcns.h;h=86156398ee053e4e92fe15b992de96ddab66ddc7;hp=095abf7cd5427cf1428feaf5f8ba319009ae0677;hb=5e8e430d750525296a7f2af10c2cb037527552a4;hpb=66c0f31c678e6c1938d637636b230ea376c157c1 diff --git a/ginac/inifcns.h b/ginac/inifcns.h index 095abf7c..86156398 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) 1999-2002 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 +23,19 @@ #ifndef __GINAC_INIFCNS_H__ #define __GINAC_INIFCNS_H__ -#include -#include +#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) @@ -76,9 +88,41 @@ 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. */ +extern const unsigned function_index_zeta1; +template +inline function zeta(const T1 & p1) { + return function(function_index_zeta1, ex(p1)); +} +/** Derivatives of Riemann's Zeta-function. */ +extern const unsigned function_index_zeta2; +template +inline function zeta(const T1 & p1, const T2 & p2) { + return function(function_index_zeta2, ex(p1), ex(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 here +/** Psi-function (aka digamma-function). */ +extern const unsigned function_index_psi1; +template +inline function psi(const T1 & p1) { + return function(function_index_psi1, ex(p1)); +} +/** Derivatives of Psi-function (aka polygamma-functions). */ +extern const unsigned function_index_psi2; +template +inline function psi(const T1 & p1, const T2 & p2) { + return function(function_index_psi2, ex(p1), ex(p2)); +} + /** Factorial function. */ DECLARE_FUNCTION_1P(factorial) @@ -88,13 +132,14 @@ DECLARE_FUNCTION_2P(binomial) /** Order term function (for truncated power series). */ DECLARE_FUNCTION_1P(Order) -ex lsolve(ex const &eqns, ex const &symbols); - -ex ncpower(ex const &basis, unsigned exponent); +ex lsolve(const ex &eqns, const ex &symbols, unsigned options = determinant_algo::automatic); -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); } +} // namespace GiNaC + #endif // ndef __GINAC_INIFCNS_H__