1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
|
// Copyright John Maddock 2015.
// Use, modification and distribution are subject to the
// Boost Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
#ifdef _MSC_VER
# pragma warning(disable : 4756) // overflow in constant arithmetic
// Constants are too big for float case, but this doesn't matter for test.
#endif
#include <boost/math/tools/config.hpp>
#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
#include <boost/math/concepts/real_concept.hpp>
#endif
#define BOOST_TEST_MAIN
#include <boost/test/unit_test.hpp>
#include <boost/test/tools/floating_point_comparison.hpp>
#include <boost/math/special_functions/math_fwd.hpp>
#include <boost/math/special_functions/ellint_d.hpp>
#include <boost/array.hpp>
#include "functor.hpp"
#include "handle_test_result.hpp"
#include "table_type.hpp"
#ifndef SC_
#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
#endif
template <class Real, typename T>
void do_test_ellint_d2(const T& data, const char* type_name, const char* test)
{
#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_D2_FUNCTION_TO_TEST))
typedef Real value_type;
std::cout << "Testing: " << test << std::endl;
#ifdef ELLINT_D2_FUNCTION_TO_TEST
value_type(*fp2)(value_type, value_type) = ELLINT_D2_FUNCTION_TO_TEST;
#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
value_type (*fp2)(value_type, value_type) = boost::math::ellint_d<value_type, value_type>;
#else
value_type (*fp2)(value_type, value_type) = boost::math::ellint_d;
#endif
boost::math::tools::test_result<value_type> result;
result = boost::math::tools::test_hetero<Real>(
data,
bind_func<Real>(fp2, 1, 0),
extract_result<Real>(2));
handle_test_result(result, data[result.worst()], result.worst(),
type_name, "ellint_d", test);
std::cout << std::endl;
#endif
}
template <class Real, typename T>
void do_test_ellint_d1(T& data, const char* type_name, const char* test)
{
#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_D1_FUNCTION_TO_TEST))
typedef Real value_type;
boost::math::tools::test_result<value_type> result;
std::cout << "Testing: " << test << std::endl;
#ifdef ELLINT_D1_FUNCTION_TO_TEST
value_type(*fp1)(value_type) = ELLINT_D1_FUNCTION_TO_TEST;
#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
value_type (*fp1)(value_type) = boost::math::ellint_d<value_type>;
#else
value_type (*fp1)(value_type) = boost::math::ellint_d;
#endif
result = boost::math::tools::test_hetero<Real>(
data,
bind_func<Real>(fp1, 0),
extract_result<Real>(1));
handle_test_result(result, data[result.worst()], result.worst(),
type_name, "ellint_d (complete)", test);
std::cout << std::endl;
#endif
}
template <typename T>
void test_spots(T, const char* type_name)
{
BOOST_MATH_STD_USING
// Function values calculated on http://functions.wolfram.com/
// Note that Mathematica's EllipticE accepts k^2 as the second parameter.
static const std::array<std::array<T, 3>, 12> data1 = {{
{ { SC_(0.5), SC_(0.5), SC_(0.040348098248931543984282958654503585) } },
{{ SC_(0), SC_(0.5), SC_(0) }},
{ { SC_(1), SC_(0.5), SC_(0.28991866293419922467977188008516755) } },
{ { SC_(1), T(1), SC_(0.38472018607562056416055864584160775) } },
{ { SC_(-1), T(1), SC_(-0.38472018607562056416055864584160775) } },
{ { SC_(-1), T(0.5), SC_(-0.28991866293419922467977188008516755) } },
{ { SC_(-10), T(0.5), SC_(-5.2996914501577855803123384771117708) } },
{ { SC_(10), SC_(-0.5), SC_(5.2996914501577855803123384771117708) } },
{ { SC_(0.125), SC_(1.5), SC_(0.000655956467603362564458676111698495009248974444516843) } },
{ { SC_(1.208925819614629174706176e24) /* 2^80 */, SC_(0.5), SC_(672000998924580555450487.42418840712)}},
}};
do_test_ellint_d2<T>(data1, type_name, "Elliptic Integral E: Mathworld Data");
#include "ellint_d2_data.ipp"
do_test_ellint_d2<T>(ellint_d2_data, type_name, "Elliptic Integral D: Random Data");
// Function values calculated on http://functions.wolfram.com/
// Note that Mathematica's EllipticE accepts k^2 as the second parameter.
static const std::array<std::array<T, 2>, 3> data2 = {{
{ { SC_(0.5), SC_(0.87315258189267554964563356323264341) } },
{ { SC_(1.0) / 1024, SC_(0.78539844427788694671464428063604776) } },
{ { boost::math::tools::root_epsilon<T>(), SC_(0.78539816339744830961566084581987572) } }
}};
do_test_ellint_d1<T>(data2, type_name, "Elliptic Integral E: Mathworld Data");
#include "ellint_d_data.ipp"
do_test_ellint_d1<T>(ellint_d_data, type_name, "Elliptic Integral D: Random Data");
#ifdef BOOST_MATH_NO_EXCEPTIONS
BOOST_MATH_CHECK_THROW(boost::math::ellint_d(T(1)), std::domain_error);
BOOST_MATH_CHECK_THROW(boost::math::ellint_d(T(-1)), std::domain_error);
BOOST_MATH_CHECK_THROW(boost::math::ellint_d(T(1.5)), std::domain_error);
BOOST_MATH_CHECK_THROW(boost::math::ellint_d(T(-1.5)), std::domain_error);
BOOST_IF_CONSTEXPR(std::numeric_limits<T>::has_infinity)
{
BOOST_CHECK_EQUAL(boost::math::ellint_d(T(0.5), std::numeric_limits<T>::infinity()), std::numeric_limits<T>::infinity());
}
BOOST_MATH_CHECK_THROW(boost::math::ellint_d(T(1.5), T(1.0)), std::domain_error);
#endif
}
|
