static ex zeta1_evalf(const ex & x)
{
- BEGIN_TYPECHECK
- TYPECHECK(x,numeric)
- END_TYPECHECK(zeta(x))
-
- return zeta(ex_to_numeric(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();
+ 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_diff(const ex & x, unsigned diff_param)
+static ex zeta1_deriv(const ex & x, unsigned deriv_param)
{
- GINAC_ASSERT(diff_param==0);
-
- return zeta(_ex1(), x);
+ GINAC_ASSERT(deriv_param==0);
+
+ return zeta(_ex1(), x);
}
-const unsigned function_index_zeta1 = function::register_new("zeta", zeta1_eval, zeta1_evalf, zeta1_diff, NULL);
+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)
static ex zeta2_eval(const ex & n, const ex & x)
{
- if (n.info(info_flags::numeric)) {
- // zeta(0,x) -> zeta(x)
- if (n.is_zero())
- return zeta(x);
- }
-
- return zeta(n, x).hold();
+ if (n.info(info_flags::numeric)) {
+ // zeta(0,x) -> zeta(x)
+ if (n.is_zero())
+ return zeta(x);
+ }
+
+ return zeta(n, x).hold();
}
-static ex zeta2_diff(const ex & n, const ex & x, unsigned diff_param)
+static ex zeta2_deriv(const ex & n, const ex & x, unsigned deriv_param)
{
- GINAC_ASSERT(diff_param<2);
-
- if (diff_param==0) {
- // d/dn zeta(n,x)
- throw(std::logic_error("cannot diff zeta(n,x) with respect to n"));
- }
- // d/dx psi(n,x)
- return zeta(n+1,x);
+ GINAC_ASSERT(deriv_param<2);
+
+ if (deriv_param==0) {
+ // d/dn zeta(n,x)
+ throw(std::logic_error("cannot diff zeta(n,x) with respect to n"));
+ }
+ // d/dx psi(n,x)
+ return zeta(n+1,x);
}
-const unsigned function_index_zeta2 = function::register_new("zeta", zeta2_eval, NULL, zeta2_diff, NULL);
+const unsigned function_index_zeta2 =
+ function::register_new(function_options("zeta").
+ eval_func(zeta2_eval).
+ derivative_func(zeta2_deriv).
+ overloaded(2));
#ifndef NO_NAMESPACE_GINAC
} // namespace GiNaC