* 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 "numeric.h"
#include "power.h"
#include "symbol.h"
+#include "operators.h"
#include "utils.h"
namespace GiNaC {
static ex zeta1_eval(const ex & x)
{
if (x.info(info_flags::numeric)) {
- numeric y = ex_to<numeric>(x);
+ const numeric &y = ex_to<numeric>(x);
// trap integer arguments:
if (y.is_integer()) {
if (y.is_zero())
return _ex_1_2;
- if (x.is_equal(_ex1))
+ if (y.is_equal(_num1))
throw(std::domain_error("zeta(1): infinity"));
- if (x.info(info_flags::posint)) {
- if (x.info(info_flags::odd))
+ if (y.info(info_flags::posint)) {
+ if (y.info(info_flags::odd))
return zeta(x).hold();
else
- return abs(bernoulli(y))*pow(Pi,x)*pow(_num2,y-_num1)/factorial(y);
+ return abs(bernoulli(y))*pow(Pi,y)*pow(_num2,y-_num1)/factorial(y);
} else {
- if (x.info(info_flags::odd))
+ if (y.info(info_flags::odd))
return -bernoulli(_num1-y)/(_num1-y);
else
- return _num0;
+ return _ex0;
}
}
// zeta(float)
- if (x.info(info_flags::numeric) && !x.info(info_flags::crational))
+ if (y.info(info_flags::numeric) && !y.info(info_flags::crational))
return zeta1_evalf(x);
}
return zeta(x).hold();
return zeta(_ex1, x);
}
-const unsigned function_index_zeta1 =
+unsigned zeta1_SERIAL::serial =
function::register_new(function_options("zeta").
eval_func(zeta1_eval).
evalf_func(zeta1_evalf).
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).