ceph/src/boost/libs/math/test/test_jacobi.cpp

   1 //  Copyright John Maddock 2012
   2
   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 #include <pch_light.hpp>
   8 #include <test_jacobi.hpp>
   9
  10 //
  11 // DESCRIPTION:
  12 // ~~~~~~~~~~~~
  13 //
  14 // This file tests the Jacobi Elliptic Functions.
  15 // There are two sets of tests, spot
  16 // tests which compare our results with selected values computed
  17 // using the online special function calculator at
  18 // functions.wolfram.com, while the bulk of the accuracy tests
  19 // use values generated with NTL::RR at 1000-bit precision
  20 // and our generic versions of these functions.
  21 //
  22 // Note that when this file is first run on a new platform many of
  23 // these tests will fail: the default accuracy is 1 epsilon which
  24 // is too tight for most platforms.  In this situation you will
  25 // need to cast a human eye over the error rates reported and make
  26 // a judgement as to whether they are acceptable.  Either way please
  27 // report the results to the Boost mailing list.  Acceptable rates of
  28 // error are marked up below as a series of regular expressions that
  29 // identify the compiler/stdlib/platform/data-type/test-data/test-function
  30 // along with the maximum expected peek and RMS mean errors for that
  31 // test.
  32 //
  33
  34 void expected_results()
  35 {
  36    //
  37    // Define the max and mean errors expected for
  38    // various compilers and platforms.
  39    //
  40    const char* largest_type;
  41 #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
  42    if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
  43    {
  44       largest_type = "(long\\s+)?double|real_concept";
  45    }
  46    else
  47    {
  48       largest_type = "long double|real_concept";
  49    }
  50 #else
  51    largest_type = "(long\\s+)?double";
  52 #endif
  53
  54    add_expected_result(
  55       ".*",                          // compiler
  56       ".*",                          // stdlib
  57       ".*",                          // platform
  58       largest_type,                  // test type(s)
  59       ".*Mathworld.*",               // test data group
  60       ".*", 500, 250);               // test function
  61    add_expected_result(
  62       ".*",                          // compiler
  63       ".*",                          // stdlib
  64       ".*",                          // platform
  65       largest_type,                  // test type(s)
  66       ".*Large Phi.*",               // test data group
  67       ".*", 50000, 5000);            // test function
  68    add_expected_result(
  69       ".*",                          // compiler
  70       ".*",                          // stdlib
  71       ".*",                          // platform
  72       largest_type,                  // test type(s)
  73       ".*near 1.*",               // test data group
  74       ".*", 7000, 500);            // test function
  75
  76    if(std::numeric_limits<long double>::digits == 64)
  77    {
  78       //
  79       // Some errors spill over into double precision:
  80       //
  81       add_expected_result(
  82          ".*",                          // compiler
  83          ".*",                          // stdlib
  84          ".*",                          // platform
  85          "double",                  // test type(s)
  86          ".*Large Phi.*",                  // test data group
  87          ".*", 500, 50);                // test function
  88       add_expected_result(
  89          ".*",                          // compiler
  90          ".*",                          // stdlib
  91          ".*",                          // platform
  92          "double",                  // test type(s)
  93          ".*near 1.*",                  // test data group
  94          ".*", 10, 5);                // test function
  95    }
  96    //
  97    // Catch all cases come last:
  98    //
  99    add_expected_result(
 100       ".*",                          // compiler
 101       ".*",                          // stdlib
 102       ".*",                          // platform
 103       largest_type,                  // test type(s)
 104       ".*",                          // test data group
 105       ".*", 50, 20);               // test function
 106    //
 107    // Finish off by printing out the compiler/stdlib/platform names,
 108    // we do this to make it easier to mark up expected error rates.
 109    //
 110    std::cout << "Tests run with " << BOOST_COMPILER << ", "
 111       << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
 112 }
 113
 114
 115 BOOST_AUTO_TEST_CASE( test_main )
 116 {
 117     expected_results();
 118     BOOST_MATH_CONTROL_FP;
 119
 120     test_spots(0.0F, "float");
 121     test_spots(0.0, "double");
 122 #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
 123     test_spots(0.0L, "long double");
 124 #ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
 125     test_spots(boost::math::concepts::real_concept(0), "real_concept");
 126 #endif
 127 #else
 128    std::cout << "<note>The long double tests have been disabled on this platform "
 129       "either because the long double overloads of the usual math functions are "
 130       "not available at all, or because they are too inaccurate for these tests "
 131       "to pass.</note>" << std::endl;
 132 #endif
 133
 134
 135 }