hyp.cc File Reference

#include <nick/hyp.h>

Include dependency graph for hyp.cc:

Functions
complexd	conhyp (const complexd &a_arg, const complexd &b_arg, const complexd &z_arg)
	Computes 1F1(a,b,z) internally using extended precision. More...

Function Documentation

complexd conhyp	(	const complexd &	a_arg,
		const complexd &	b_arg,
		const complexd &	z_arg
	)

Computes 1F1(a,b,z) internally using extended precision.

If result is larger than 1.0, result should be accurate to full double precision, otherwise result is accurate to somewhat better than 1e-17. However, the termination test is not very smart so there may be failures.

References a(), madness::abs(), b(), mpfr::mpreal::get_default_prec(), max, mpfr::mpreal::set_default_prec(), mpfr::sum(), and test().

Referenced by compare1F1(), PhiK::f11(), and Phikl::f11().