]> www.ginac.de Git - ginac.git/blobdiff - ginac/inifcns_zeta.cpp
Added a document about the coding conventions used in GiNaC. Corrections,
[ginac.git] / ginac / inifcns_zeta.cpp
index 9a3f7a4fabac57e2a7a8710cf6a0bc0682e3178f..2dba976bf4c2faf365aca062ab5de1a453b13f52 100644 (file)
@@ -3,7 +3,7 @@
  *  Implementation of the Zeta-function and some related stuff. */
 
 /*
- *  GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
+ *  GiNaC Copyright (C) 1999-2003 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
 #include <stdexcept>
 
 #include "inifcns.h"
-#include "ex.h"
 #include "constant.h"
 #include "numeric.h"
 #include "power.h"
 #include "symbol.h"
+#include "operators.h"
 #include "utils.h"
 
-#ifndef NO_NAMESPACE_GINAC
 namespace GiNaC {
-#endif // ndef NO_NAMESPACE_GINAC
-
-//////////
-// Riemann's Zeta-function
-//////////
-
-static ex zeta1_evalf(const ex & x)
-{
-       BEGIN_TYPECHECK
-               TYPECHECK(x,numeric)
-       END_TYPECHECK(zeta(x))
-               
-       return zeta(ex_to_numeric(x));
-}
-
-static ex zeta1_eval(const ex & x)
-{
-       if (x.info(info_flags::numeric)) {
-               numeric y = ex_to_numeric(x);
-               // trap integer arguments:
-               if (y.is_integer()) {
-                       if (y.is_zero())
-                               return -_ex1_2();
-                       if (x.is_equal(_ex1()))
-                               throw(std::domain_error("zeta(1): infinity"));
-                       if (x.info(info_flags::posint)) {
-                               if (x.info(info_flags::odd))
-                                       return zeta(x).hold();
-                               else
-                                       return abs(bernoulli(y))*pow(Pi,x)*pow(_num2(),y-_num1())/factorial(y);
-                       } else {
-                               if (x.info(info_flags::odd))
-                                       return -bernoulli(_num1()-y)/(_num1()-y);
-                               else
-                                       return _num0();
-                       }
-               }
-       }
-       return zeta(x).hold();
-}
-
-static ex zeta1_deriv(const ex & x, unsigned deriv_param)
-{
-       GINAC_ASSERT(deriv_param==0);
-       
-       return zeta(_ex1(), x);
-}
-
-const unsigned function_index_zeta1 =
-       function::register_new(function_options("zeta").
-                              eval_func(zeta1_eval).
-                              evalf_func(zeta1_evalf).
-                              derivative_func(zeta1_deriv).
-                              overloaded(2));
 
 //////////
 // Derivatives of Riemann's Zeta-function  zeta(0,x)==zeta(x)
@@ -115,12 +60,11 @@ static ex zeta2_deriv(const ex & n, const ex & x, unsigned deriv_param)
        return zeta(n+1,x);
 }
 
-const unsigned function_index_zeta2 =
+unsigned zeta2_SERIAL::serial =
        function::register_new(function_options("zeta").
                               eval_func(zeta2_eval).
                               derivative_func(zeta2_deriv).
+                              latex_name("\\zeta").
                               overloaded(2));
 
-#ifndef NO_NAMESPACE_GINAC
 } // namespace GiNaC
-#endif // ndef NO_NAMESPACE_GINAC