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
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
|
// (C) Copyright John Maddock 2007.
// 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)
#ifndef SYCL_LANGUAGE_VERSION
#include <pch_light.hpp>
#endif
#ifndef BOOST_MATH_OVERFLOW_ERROR_POLICY
#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
#endif
#include "test_expint.hpp"
//
// DESCRIPTION:
// ~~~~~~~~~~~~
//
// This file tests the expint functions. There are two sets of tests:
// 1) Sanity checks: comparison to test values created with the
// online calculator at functions.wolfram.com
// 2) Accuracy tests use values generated with NTL::RR at
// 1000-bit precision and our generic versions of these functions.
//
// Note that when this file is first run on a new platform many of
// these tests will fail: the default accuracy is 1 epsilon which
// is too tight for most platforms. In this situation you will
// need to cast a human eye over the error rates reported and make
// a judgement as to whether they are acceptable. Either way please
// report the results to the Boost mailing list. Acceptable rates of
// error are marked up below as a series of regular expressions that
// identify the compiler/stdlib/platform/data-type/test-data/test-function
// along with the maximum expected peek and RMS mean errors for that
// test.
//
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
//
// On MacOS X erfc has much higher error levels than
// expected: given that the implementation is basically
// just a rational function evaluation combined with
// exponentiation, we conclude that exp and pow are less
// accurate on this platform, especially when the result
// is outside the range of a double.
//
add_expected_result(
".*", // compiler
".*", // stdlib
"Mac OS", // platform
"float|double|long double", // test type(s)
".*E1.*", // test data group
".*", 30, 10); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
"Mac OS", // platform
"float|double|long double|real_concept", // test type(s)
".*Ei.*", // test data group
".*", 300, 200); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
"Mac OS", // platform
".*", // test type(s)
".*", // test data group
".*", 40, 15); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"float|double|long double", // test type(s)
".*E1.*", // test data group
".*", 2, 1); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"float|double|long double", // test type(s)
".*Ei.*", // test data group
#ifndef SYCL_LANGUAGE_VERSION
".*", 6, 3); // test function
#else
".*", 10, 3);
#endif
if(std::numeric_limits<long double>::digits > 100)
{
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"real_concept", // test type(s)
".*Ei.*", // test data group
".*", 150, 50); // test function
}
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"real_concept", // test type(s)
".*Ei.*", // test data group
".*", 150, 50); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", 25, 5); // test function
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
BOOST_MATH_CONTROL_FP;
boost::math::expint(114.7);
test_spots(0.0f, "float");
test_spots(0.0, "double");
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
test_spots(0.0L, "long double");
#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
#endif
#else
std::cout << "<note>The long double tests have been disabled on this platform "
"either because the long double overloads of the usual math functions are "
"not available at all, or because they are too inaccurate for these tests "
"to pass.</note>" << std::endl;
#endif
test_expint(0.1F, "float");
test_expint(0.1, "double");
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
test_expint(0.1L, "long double");
#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
test_expint(boost::math::concepts::real_concept(0.1), "real_concept");
#endif
#else
std::cout << "<note>The long double tests have been disabled on this platform "
"either because the long double overloads of the usual math functions are "
"not available at all, or because they are too inaccurate for these tests "
"to pass.</note>" << std::endl;
#endif
}
|
