X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Finifcns.h;h=a17c8d2dfb6761713db6dd6e4c0ce356d4972738;hp=314228f8033972bbeee3944f6fbc84064129361a;hb=6faa1dc08e887e3d9e0a2d0b1be6ccd50fc19422;hpb=c5ca06e3a25226684028dec4bd8cba0833998be6 diff --git a/ginac/inifcns.h b/ginac/inifcns.h index 314228f8..a17c8d2d 100644 --- a/ginac/inifcns.h +++ b/ginac/inifcns.h @@ -3,7 +3,7 @@ * Interface to GiNaC's initially known functions. */ /* - * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany + * GiNaC Copyright (C) 1999-2004 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 @@ -28,6 +28,9 @@ namespace GiNaC { +/** Complex conjugate. */ +DECLARE_FUNCTION_1P(conjugate_function) + /** Absolute value. */ DECLARE_FUNCTION_1P(abs) @@ -88,17 +91,36 @@ DECLARE_FUNCTION_1P(Li2) /** Trilogarithm. */ DECLARE_FUNCTION_1P(Li3) +/** Derivatives of Riemann's Zeta-function. */ +DECLARE_FUNCTION_2P(zetaderiv) + // 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); +/** Multiple zeta value including 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. */ -extern const unsigned function_index_zeta2; -inline function zeta(const ex & p1, const ex & p2) { - return function(function_index_zeta2, p1, p2); +/** Alternating Euler sum or colored MZV. */ +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); +} + +/** Polylogarithm and multiple polylogarithm. */ +DECLARE_FUNCTION_2P(Li) + +/** Nielsen's generalized polylogarithm. */ +DECLARE_FUNCTION_3P(S) + +/** Harmonic polylogarithm. */ +DECLARE_FUNCTION_2P(H) /** Gamma-function. */ DECLARE_FUNCTION_1P(lgamma) @@ -109,14 +131,21 @@ 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); +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). */ -extern const unsigned function_index_psi2; -inline function psi(const ex & p1, const ex & p2) { - return function(function_index_psi2, p1, p2); +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. */ @@ -128,39 +157,7 @@ DECLARE_FUNCTION_2P(binomial) /** Order term function (for truncated power series). */ DECLARE_FUNCTION_1P(Order) -/** Inert partial differentiation operator. */ -DECLARE_FUNCTION_2P(Derivative) - -ex lsolve(const ex &eqns, const ex &symbols); - -/** Symmetrize expression over a set of objects (symbols, indices). */ -ex symmetrize(const ex & e, exvector::const_iterator first, exvector::const_iterator last); - -/** Symmetrize expression over a set of objects (symbols, indices). */ -inline ex symmetrize(const ex & e, const exvector & v) -{ - return symmetrize(e, v.begin(), v.end()); -} - -/** Antisymmetrize expression over a set of objects (symbols, indices). */ -ex antisymmetrize(const ex & e, exvector::const_iterator first, exvector::const_iterator last); - -/** Antisymmetrize expression over a set of objects (symbols, indices). */ -inline ex antisymmetrize(const ex & e, const exvector & v) -{ - return antisymmetrize(e, v.begin(), v.end()); -} - -/** Symmetrize expression by cyclic permuation over a set of objects - * (symbols, indices). */ -ex symmetrize_cyclic(const ex & e, exvector::const_iterator first, exvector::const_iterator last); - -/** Symmetrize expression by cyclic permutation over a set of objects - * (symbols, indices). */ -inline ex symmetrize_cyclic(const ex & e, const exvector & v) -{ - return symmetrize(e, v.begin(), v.end()); -} +ex lsolve(const ex &eqns, const ex &symbols, unsigned options = solve_algo::automatic); /** Check whether a function is the Order (O(n)) function. */ inline bool is_order_function(const ex & e) @@ -168,6 +165,11 @@ inline bool is_order_function(const ex & e) return is_ex_the_function(e, Order); } +/** Converts a given list containing parameters for H in Remiddi/Vermaseren notation into + * the corresponding GiNaC functions. + */ +ex convert_H_to_Li(const ex& parameterlst, const ex& arg); + } // namespace GiNaC #endif // ndef __GINAC_INIFCNS_H__