X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Finifcns.h;h=0e13a040f1b42d85644e4525fd227ca11eda9c4c;hp=e68bd175569b0c6f7b7ae1d40ec725972c0222a0;hb=5ea3a700d1346284a985872d8efc5695130ba487;hpb=def23d34c68a383ce3d7da0227b984c8291a3bf9 diff --git a/ginac/inifcns.h b/ginac/inifcns.h index e68bd175..0e13a040 100644 --- a/ginac/inifcns.h +++ b/ginac/inifcns.h @@ -3,7 +3,7 @@ * Interface to GiNaC's initially known functions. */ /* - * GiNaC Copyright (C) 1999-2003 Johannes Gutenberg University Mainz, Germany + * GiNaC Copyright (C) 1999-2005 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 @@ -17,20 +17,27 @@ * * 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 + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA */ #ifndef __GINAC_INIFCNS_H__ #define __GINAC_INIFCNS_H__ +#include "numeric.h" #include "function.h" #include "ex.h" namespace GiNaC { +/** Complex conjugate. */ +DECLARE_FUNCTION_1P(conjugate_function) + /** Absolute value. */ DECLARE_FUNCTION_1P(abs) +/** Step function. */ +DECLARE_FUNCTION_1P(step) + /** Complex sign. */ DECLARE_FUNCTION_1P(csgn) @@ -95,21 +102,40 @@ DECLARE_FUNCTION_2P(zetaderiv) /** Multiple zeta value including Riemann's zeta-function. */ class zeta1_SERIAL { public: static unsigned serial; }; template -inline function zeta(const T1 & p1) { +inline function zeta(const T1& p1) { return function(zeta1_SERIAL::serial, ex(p1)); } /** Alternating Euler sum or colored MZV. */ class zeta2_SERIAL { public: static unsigned serial; }; template -inline function zeta(const T1 & p1, const T2 & p2) { +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) +template<> inline bool is_the_function(const ex& x) { return is_the_function(x) || is_the_function(x); } +// overloading at work: we cannot use the macros here +/** Generalized multiple polylogarithm. */ +class G2_SERIAL { public: static unsigned serial; }; +template +inline function G(const T1& x, const T2& y) { + return function(G2_SERIAL::serial, ex(x), ex(y)); +} +/** Generalized multiple polylogarithm with explicit imaginary parts. */ +class G3_SERIAL { public: static unsigned serial; }; +template +inline function G(const T1& x, const T2& s, const T3& y) { + return function(G3_SERIAL::serial, ex(x), ex(s), ex(y)); +} +class G_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) @@ -140,7 +166,7 @@ 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) +template<> inline bool is_the_function(const ex & x) { return is_the_function(x) || is_the_function(x); } @@ -156,12 +182,28 @@ DECLARE_FUNCTION_1P(Order) ex lsolve(const ex &eqns, const ex &symbols, unsigned options = solve_algo::automatic); +/** Find a real root of real-valued function f(x) numerically within a given + * interval. The function must change sign across interval. Uses Newton- + * Raphson method combined with bisection in order to guarantee convergence. + * + * @param f Function f(x) + * @param x Symbol f(x) + * @param x1 lower interval limit + * @param x2 upper interval limit + * @exception runtime_error (if interval is invalid). */ +const numeric fsolve(const ex& f, const symbol& x, const numeric& x1, const numeric& x2); + /** 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); } +/** 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__