X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Finifcns.h;h=05043819e9deeceb6a42d54cc03c5140238399e9;hp=f4af0cb87465cc6379ea41c89dc16c57125dc658;hb=4d59c02d51fbf50ff24d616b00296aa4cbb1ea5e;hpb=487e5659efe401683eee0381b0d23f967ffffc3c

diff --git a/ginac/inifcns.h b/ginac/inifcns.h
index f4af0cb8..05043819 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) 1999-2005 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
@@ -17,14 +17,29 @@
  *
  *  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 <ginac/function.h>
-#include <ginac/ex.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)
+	
+/** 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)
@@ -77,9 +92,82 @@ DECLARE_FUNCTION_1P(Li2)
 /** Trilogarithm. */
 DECLARE_FUNCTION_1P(Li3)
 
-/** Gamma function. */
-DECLARE_FUNCTION_1P(gamma)
+/** Derivatives of Riemann's Zeta-function. */
+DECLARE_FUNCTION_2P(zetaderiv)
+
+// overloading at work: we cannot use the macros here
+/** Multiple zeta value including Riemann's zeta-function. */
+class zeta1_SERIAL { public: static unsigned serial; };
+template<typename T1>
+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<typename T1, typename T2>
+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<zeta_SERIAL>(const ex& x)
+{
+	return is_the_function<zeta1_SERIAL>(x) || is_the_function<zeta2_SERIAL>(x);
+}
+
+// overloading at work: we cannot use the macros here
+/** Generalized multiple polylogarithm. */
+class G2_SERIAL { public: static unsigned serial; };
+template<typename T1, typename T2>
+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<typename T1, typename T2, typename T3>
+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<G_SERIAL>(const ex& x)
+{
+	return is_the_function<G2_SERIAL>(x) || is_the_function<G3_SERIAL>(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)
+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<typename T1>
+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<typename T1, typename T2>
+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<psi_SERIAL>(const ex & x)
+{
+	return is_the_function<psi1_SERIAL>(x) || is_the_function<psi2_SERIAL>(x);
+}
+	
 /** Factorial function. */
 DECLARE_FUNCTION_1P(factorial)
 
@@ -89,13 +177,30 @@ 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 = solve_algo::automatic);
 
-inline bool is_order_function(ex const & e)
+/** 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__