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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 | ||
18 | namespace boost { namespace math { namespace detail { | |
19 | ||
20 | template <class T, class Policy> | |
21 | inline 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 | ||
44 | template <class T1, class T2, class Policy> | |
45 | inline 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 | ||
64 | template <class T1, class T2> | |
65 | inline 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 |