X-Git-Url: https://ginac.de/ginac.git//ginac.git?a=blobdiff_plain;f=ginac%2Finifcns.h;h=73fff2167cae0314acf09b32f8abbc20d042c9ed;hb=b9cd4b49ffbfbf3e1c36a2b594ec3148a5baca64;hp=42f3838919635a98b95f989e98a2d823d68cfe1c;hpb=9eab44408b9213d8909b7a9e525f404ad06064dd;p=ginac.git diff --git a/ginac/inifcns.h b/ginac/inifcns.h index 42f38389..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 @@ -23,11 +23,20 @@ #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) @@ -79,9 +88,37 @@ 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; +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 here +/** 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) @@ -91,11 +128,14 @@ 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); }