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1
2///////////////////////////////////////////////////////////////////////////////
3// Copyright 2014 Anton Bikineev
4// Copyright 2014 Christopher Kormanyos
5// Copyright 2014 John Maddock
6// Copyright 2014 Paul Bristow
7// Distributed under the Boost
8// Software License, Version 1.0. (See accompanying file
9// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
10
11#ifndef BOOST_MATH_HYPERGEOMETRIC_1F0_HPP
12#define BOOST_MATH_HYPERGEOMETRIC_1F0_HPP
13
14#include <boost/math/policies/policy.hpp>
15#include <boost/math/policies/error_handling.hpp>
16
17
18namespace boost { namespace math { namespace detail {
19
20template <class T, class Policy>
21inline T hypergeometric_1F0_imp(const T& a, const T& z, const Policy& pol)
22{
23 static const char* function = "boost::math::hypergeometric_1F0<%1%,%1%>(%1%, %1%)";
24 BOOST_MATH_STD_USING // pow
25
26 if (z == 1)
27 return policies::raise_pole_error<T>(
28 function,
29 "Evaluation of 1F0 with z = %1%.",
30 z,
31 pol);
32 if (1 - z < 0)
33 {
34 if (floor(a) != a)
35 return policies::raise_domain_error<T>(function,
36 "Result is complex when a is non-integral and z > 1, but got z = %1%", z, pol);
37 }
38 // more naive and convergent method than series
39 return pow(T(1 - z), T(-a));
40}
41
42} // namespace detail
43
44template <class T1, class T2, class Policy>
45inline typename tools::promote_args<T1, T2>::type hypergeometric_1F0(T1 a, T2 z, const Policy&)
46{
47 BOOST_FPU_EXCEPTION_GUARD
48 typedef typename tools::promote_args<T1, T2>::type result_type;
49 typedef typename policies::evaluation<result_type, Policy>::type value_type;
50 typedef typename policies::normalise<
51 Policy,
52 policies::promote_float<false>,
53 policies::promote_double<false>,
54 policies::discrete_quantile<>,
55 policies::assert_undefined<> >::type forwarding_policy;
56 return policies::checked_narrowing_cast<result_type, Policy>(
57 detail::hypergeometric_1F0_imp<value_type>(
58 static_cast<value_type>(a),
59 static_cast<value_type>(z),
60 forwarding_policy()),
61 "boost::math::hypergeometric_1F0<%1%>(%1%,%1%)");
62}
63
64template <class T1, class T2>
65inline typename tools::promote_args<T1, T2>::type hypergeometric_1F0(T1 a, T2 z)
66{
67 return hypergeometric_1F0(a, z, policies::policy<>());
68}
69
70
71 } } // namespace boost::math
72
73#endif // BOOST_MATH_HYPERGEOMETRIC_1F0_HPP