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1// Copyright Xiaogang Zhang 2006
2// Copyright John Maddock 2006, 2007
3// Copyright Paul A. Bristow 2007
4
5// Use, modification and distribution are subject to the
6// Boost Software License, Version 1.0. (See accompanying file
7// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
8
9#include <pch_light.hpp>
10#include "test_ellint_1.hpp"
11
12//
13// DESCRIPTION:
14// ~~~~~~~~~~~~
15//
16// This file tests the Elliptic Integrals of the first kind.
17// There are two sets of tests, spot
18// tests which compare our results with selected values computed
19// using the online special function calculator at
20// functions.wolfram.com, while the bulk of the accuracy tests
21// use values generated with NTL::RR at 1000-bit precision
22// and our generic versions of these functions.
23//
24// Note that when this file is first run on a new platform many of
25// these tests will fail: the default accuracy is 1 epsilon which
26// is too tight for most platforms. In this situation you will
27// need to cast a human eye over the error rates reported and make
28// a judgement as to whether they are acceptable. Either way please
29// report the results to the Boost mailing list. Acceptable rates of
30// error are marked up below as a series of regular expressions that
31// identify the compiler/stdlib/platform/data-type/test-data/test-function
32// along with the maximum expected peek and RMS mean errors for that
33// test.
34//
35
36void expected_results()
37{
38 //
39 // Define the max and mean errors expected for
40 // various compilers and platforms.
41 //
42 const char* largest_type;
43#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
44 if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
45 {
46 largest_type = "(long\\s+)?double";
47 }
48 else
49 {
50 largest_type = "long double";
51 }
52#else
53 largest_type = "(long\\s+)?double";
54#endif
55
56 //
57 // Catch all cases come last:
58 //
59 add_expected_result(
60 ".*", // compiler
61 ".*", // stdlib
62 ".*", // platform
63 largest_type, // test type(s)
64 ".*", // test data group
65 ".*", 5, 3); // test function
66 add_expected_result(
67 ".*", // compiler
68 ".*", // stdlib
69 ".*", // platform
70 "real_concept", // test type(s)
71 ".*", // test data group
72 ".*", 5, 3); // test function
73 //
74 // Finish off by printing out the compiler/stdlib/platform names,
75 // we do this to make it easier to mark up expected error rates.
76 //
77 std::cout << "Tests run with " << BOOST_COMPILER << ", "
78 << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
79}
80
81
82BOOST_AUTO_TEST_CASE( test_main )
83{
84 expected_results();
85 BOOST_MATH_CONTROL_FP;
86
87 test_spots(0.0F, "float");
88 test_spots(0.0, "double");
89#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
90 test_spots(0.0L, "long double");
91#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
92 test_spots(boost::math::concepts::real_concept(0), "real_concept");
93#endif
94#else
95 std::cout << "<note>The long double tests have been disabled on this platform "
96 "either because the long double overloads of the usual math functions are "
97 "not available at all, or because they are too inaccurate for these tests "
98 "to pass.</note>" << std::endl;
99#endif
100
101}