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1 // Copyright John Maddock 2006.
2 // Copyright Paul A. Bristow 2007, 2009
3 //  Use, modification and distribution are subject to the
4 //  Boost Software License, Version 1.0. (See accompanying file
5 //  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
6 
7 #define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
8 
9 #include <boost/math/concepts/real_concept.hpp>
10 #include <boost/math/special_functions/math_fwd.hpp>
11 #define BOOST_TEST_MAIN
12 #include <boost/test/unit_test.hpp>
13 #include <boost/test/tools/floating_point_comparison.hpp>
14 #include <boost/math/tools/stats.hpp>
15 #include <boost/math/tools/test.hpp>
16 #include <boost/math/tools/big_constant.hpp>
17 #include <boost/math/constants/constants.hpp>
18 #include <boost/type_traits/is_floating_point.hpp>
19 #include <boost/array.hpp>
20 #include "functor.hpp"
21 
22 #include "handle_test_result.hpp"
23 #include "table_type.hpp"
24 
25 #include <boost/math/special_functions/hypergeometric_2F0.hpp>
26 
27 template <class Real, class T>
do_test_2F0(const T & data,const char * type_name,const char * test_name)28 void do_test_2F0(const T& data, const char* type_name, const char* test_name)
29 {
30    typedef Real                   value_type;
31 
32    typedef value_type(*pg)(value_type, value_type, value_type);
33 #if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
34    pg funcp = boost::math::hypergeometric_0F1<value_type, value_type>;
35 #else
36    pg funcp = boost::math::hypergeometric_2F0;
37 #endif
38 
39    boost::math::tools::test_result<value_type> result;
40 
41    std::cout << "Testing " << test_name << " with type " << type_name
42       << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
43 
44    //
45    // test hypergeometric_2F0 against data:
46    //
47    result = boost::math::tools::test_hetero<Real>(
48       data,
49       bind_func<Real>(funcp, 0, 1, 2),
50       extract_result<Real>(3));
51    handle_test_result(result, data[result.worst()], result.worst(), type_name, "hypergeometric_0F1", test_name);
52    std::cout << std::endl;
53 }
54 
55 #ifndef SC_
56 #define SC_(x) BOOST_MATH_BIG_CONSTANT(T, 1000000, x)
57 #endif
58 
59 template <class T>
test_spots1(T,const char * type_name)60 void test_spots1(T, const char* type_name)
61 {
62 #include "hypergeometric_2F0.ipp"
63 
64    do_test_2F0<T>(hypergeometric_2F0, type_name, "Random non-integer a2, |z| < 1");
65 
66 #include "hypergeometric_2F0_large_z.ipp"
67 
68    do_test_2F0<T>(hypergeometric_2F0_large_z, type_name, "Random non-integer a2, |z| > 1");
69 }
70 
71 template <class T>
test_spots2(T,const char * type_name)72 void test_spots2(T, const char* type_name)
73 {
74 #include "hypergeometric_2F0_integer_a2.ipp"
75 
76    do_test_2F0<T>(hypergeometric_2F0_integer_a2, type_name, "Integer a2, |z| > 1");
77 
78 #include "hypergeometric_2F0_half.ipp"
79 
80    do_test_2F0<T>(hypergeometric_2F0_half, type_name, "a1 = a2 + 0.5");
81 }
82 
83 template <class T>
test_spots(T z,const char * type_name)84 void test_spots(T z, const char* type_name)
85 {
86    test_spots1(z, type_name);
87    test_spots2(z, type_name);
88 
89    T a1 = 1;
90    T a2 = 0.1f;
91    z = -1;
92    if (std::numeric_limits<T>::has_infinity)
93    {
94       BOOST_CHECK((boost::math::isinf)(boost::math::hypergeometric_2F0(a1, a2, z)));
95       z = 1;
96       BOOST_CHECK((boost::math::isinf)(boost::math::hypergeometric_2F0(a1, a2, z)));
97       a2 = -2.4f;
98       BOOST_CHECK((boost::math::isinf)(boost::math::hypergeometric_2F0(a1, a2, z)));
99       a1 = -0.5f;
100       BOOST_CHECK((boost::math::isinf)(boost::math::hypergeometric_2F0(a1, a2, z)));
101    }
102 }
103