#include "power.h"
#include "symbol.h"
+#ifndef NO_GINAC_NAMESPACE
namespace GiNaC {
+#endif // ndef NO_GINAC_NAMESPACE
//////////
// Riemann's Zeta-function
static ex zeta_eval(ex const & x)
{
if (x.info(info_flags::numeric)) {
+ numeric y = ex_to_numeric(x);
// trap integer arguments:
- if (x.info(info_flags::integer)) {
- if (x.is_zero())
+ if (y.is_integer()) {
+ if (y.is_zero())
return -exHALF();
- if (!x.compare(exONE()))
+ if (x.is_equal(exONE()))
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 bernoulli(ex_to_numeric(x))*pow(Pi,x)*numTWO().power(ex_to_numeric(x))/factorial(x);
- throw (std::domain_error("you found a missing feature"));
+ return abs(bernoulli(y))*pow(Pi,x)*numTWO().power(y-numONE())/factorial(y);
} else {
if (x.info(info_flags::odd))
- // return -bernoulli(1-ex_to_numeric(x))/(1-ex_to_numeric(x))
- throw (std::domain_error("you found a missing feature"));
- else
+ return -bernoulli(numONE()-y)/(numONE()-y);
+ else
return numZERO();
}
}
}
return zeta(x).hold();
}
-
+
static ex zeta_evalf(ex const & x)
{
BEGIN_TYPECHECK
return zeta(ex_to_numeric(x));
}
-static ex zeta_diff(ex const & x, unsigned diff_param)
-{
- ASSERT(diff_param==0);
-
- return exZERO(); // should return zeta(numONE(),x);
-}
-
-static ex zeta_series(ex const & x, symbol const & s, ex const & point, int order)
-{
- throw(std::logic_error("don't know the series expansion of the zeta function"));
-}
-
-REGISTER_FUNCTION(zeta, zeta_eval, zeta_evalf, zeta_diff, zeta_series);
+REGISTER_FUNCTION(zeta, zeta_eval, zeta_evalf, NULL, NULL);
+#ifndef NO_GINAC_NAMESPACE
} // namespace GiNaC
+#endif // ndef NO_GINAC_NAMESPACE