*/
/*
- * GiNaC Copyright (C) 1999-2003 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
else if (!x.imag().is_rational())
prec = cln::float_format(cln::the<cln::cl_F>(cln::imagpart(value)));
-
// [Kol] (5.3)
- if (cln::realpart(value) < -0.5) {
+ if ((cln::realpart(value) < -0.5) || (n == 0)) {
cln::cl_N result = cln::expt(cln::cl_I(-1),p) * cln::expt(cln::log(value),n)
* cln::expt(cln::log(1-value),p) / cln::factorial(n) / cln::factorial(p);
return S_num(ex_to<numeric>(n).to_int(), ex_to<numeric>(p).to_int(), ex_to<numeric>(x));
}
}
+ if (n.is_zero()) {
+ // [Kol] (5.3)
+ return pow(-log(1-x), p) / factorial(p);
+ }
return S(n, p, x).hold();
}
// anonymous namespace for helper functions
namespace {
+
+// regulates the pole (used by 1/x-transformation)
+symbol H_polesign("IMSIGN");
+
// convert parameters from H to Li representation
// parameters are expected to be in expanded form, i.e. only 0, 1 and -1
}
if (allthesame) {
map_trafo_H_mult unify;
- return unify((pow(H(lst(1),1/arg).hold() + H(lst(0),1/arg).hold() - I*Pi, parameter.nops())
+ return unify((pow(H(lst(1),1/arg).hold() + H(lst(0),1/arg).hold() + H_polesign, parameter.nops())
/ factorial(parameter.nops())).expand());
}
}
// x -> 1/x
map_trafo_H_1overx trafo;
res *= trafo(H(m, xtemp));
+ if (cln::imagpart(x) <= 0) {
+ res = res.subs(H_polesign == -I*Pi);
+ } else {
+ res = res.subs(H_polesign == I*Pi);
+ }
}
// simplify result
}
-unsigned zeta1_SERIAL::serial = function::register_new(function_options("zeta").
+unsigned zeta1_SERIAL::serial = function::register_new(function_options("zeta", 1).
evalf_func(zeta1_evalf).
eval_func(zeta1_eval).
derivative_func(zeta1_deriv).
}
-unsigned zeta2_SERIAL::serial = function::register_new(function_options("zeta").
+unsigned zeta2_SERIAL::serial = function::register_new(function_options("zeta", 2).
evalf_func(zeta2_evalf).
eval_func(zeta2_eval).
derivative_func(zeta2_deriv).