ceph/src/boost/libs/math/test/test_tgamma_ratio.hpp

   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 #define BOOST_TEST_MAIN
  11 #include <boost/test/unit_test.hpp>
  12 #include <boost/test/floating_point_comparison.hpp>
  13 #include <boost/math/special_functions/math_fwd.hpp>
  14 #include <boost/math/tools/stats.hpp>
  15 #include <boost/math/tools/test.hpp>
  16 #include <boost/array.hpp>
  17 #include "functor.hpp"
  18
  19 #include "handle_test_result.hpp"
  20 #include "table_type.hpp"
  21
  22 #ifndef SC_
  23 #define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
  24 #endif
  25
  26 template <class Real>
  27 struct negative_tgamma_ratio
  28 {
  29    template <class Row>
  30    Real operator()(const Row& row)
  31    {
  32 #ifdef TGAMMA_DELTA_RATIO_FUNCTION_TO_TEST
  33       return TGAMMA_DELTA_RATIO_FUNCTION_TO_TEST(Real(row[0]), Real(-Real(row[1])));
  34 #else
  35       return boost::math::tgamma_delta_ratio(Real(row[0]), Real(-Real(row[1])));
  36 #endif
  37    }
  38 };
  39
  40 template <class Real, class T>
  41 void do_test_tgamma_delta_ratio(const T& data, const char* type_name, const char* test_name)
  42 {
  43 #if !(defined(ERROR_REPORTING_MODE) && !defined(TGAMMA_DELTA_RATIO_FUNCTION_TO_TEST))
  44    typedef Real                   value_type;
  45
  46    typedef value_type (*pg)(value_type, value_type);
  47 #ifdef TGAMMA_DELTA_RATIO_FUNCTION_TO_TEST
  48    pg funcp = TGAMMA_DELTA_RATIO_FUNCTION_TO_TEST;
  49 #elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
  50    pg funcp = boost::math::tgamma_delta_ratio<value_type, value_type>;
  51 #else
  52    pg funcp = boost::math::tgamma_delta_ratio;
  53 #endif
  54
  55    boost::math::tools::test_result<value_type> result;
  56
  57    std::cout << "Testing " << test_name << " with type " << type_name
  58       << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
  59
  60    //
  61    // test tgamma_delta_ratio against data:
  62    //
  63    result = boost::math::tools::test_hetero<Real>(
  64       data,
  65       bind_func<Real>(funcp, 0, 1),
  66       extract_result<Real>(2));
  67    handle_test_result(result, data[result.worst()], result.worst(), type_name, "tgamma_delta_ratio", test_name);
  68    result = boost::math::tools::test_hetero<Real>(
  69       data,
  70       negative_tgamma_ratio<Real>(),
  71       extract_result<Real>(3));
  72    std::string s(test_name);
  73    s += " (negative delta)";
  74    handle_test_result(result, data[result.worst()], result.worst(), type_name, "tgamma_delta_ratio", s.c_str());
  75 #endif
  76 }
  77
  78 template <class Real, class T>
  79 void do_test_tgamma_ratio(const T& data, const char* type_name, const char* test_name)
  80 {
  81 #if !(defined(ERROR_REPORTING_MODE) && !defined(TGAMMA_RATIO_FUNCTION_TO_TEST))
  82    typedef Real                   value_type;
  83
  84    typedef value_type (*pg)(value_type, value_type);
  85 #ifdef TGAMMA_RATIO_FUNCTION_TO_TEST
  86    pg funcp = TGAMMA_RATIO_FUNCTION_TO_TEST;
  87 #elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
  88    pg funcp = boost::math::tgamma_ratio<value_type, value_type>;
  89 #else
  90    pg funcp = boost::math::tgamma_ratio;
  91 #endif
  92
  93    boost::math::tools::test_result<value_type> result;
  94
  95    std::cout << "Testing " << test_name << " with type " << type_name
  96       << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
  97
  98    //
  99    // test tgamma_ratio against data:
 100    //
 101    result = boost::math::tools::test_hetero<Real>(
 102       data,
 103       bind_func<Real>(funcp, 0, 1),
 104       extract_result<Real>(2));
 105    handle_test_result(result, data[result.worst()], result.worst(), type_name, "tgamma_ratio", test_name);
 106 #endif
 107 }
 108
 109 template <class T>
 110 void test_tgamma_ratio(T, const char* name)
 111 {
 112    //
 113    // The actual test data is rather verbose, so it's in a separate file
 114    //
 115 #  include "tgamma_delta_ratio_data.ipp"
 116
 117    do_test_tgamma_delta_ratio<T>(tgamma_delta_ratio_data, name, "tgamma + small delta ratios");
 118
 119 #  include "tgamma_delta_ratio_int.ipp"
 120
 121    do_test_tgamma_delta_ratio<T>(tgamma_delta_ratio_int, name, "tgamma + small integer ratios");
 122
 123 #  include "tgamma_delta_ratio_int2.ipp"
 124
 125    do_test_tgamma_delta_ratio<T>(tgamma_delta_ratio_int2, name, "integer tgamma ratios");
 126
 127 #  include "tgamma_ratio_data.ipp"
 128
 129    do_test_tgamma_ratio<T>(tgamma_ratio_data, name, "tgamma ratios");
 130
 131 }
 132
 133 template <class T>
 134 void test_spots(T, const char*)
 135 {
 136 #ifdef _MSC_VER
 137 # pragma warning(push)
 138 # pragma warning(disable:4127 4756)
 139 #endif
 140    //
 141    // A few special spot tests:
 142    //
 143    BOOST_MATH_STD_USING
 144    T tol = boost::math::tools::epsilon<T>() * 20;
 145    if(std::numeric_limits<T>::max_exponent > 200)
 146    {
 147       BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -500)), T(180.25)), T(8.0113754557649679470816892372669519037339812035512e-178L), 3 * tol);
 148       BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -525)), T(192.25)), T(1.5966560279353205461166489184101261541784867035063e-197L), 3 * tol);
 149       BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(182.25), T(ldexp(T(1), -500))), T(4.077990437521002194346763299159975185747917450788e+181L), 3 * tol);
 150       BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(193.25), T(ldexp(T(1), -525))), T(1.2040790040958522422697601672703926839178050326148e+199L), 3 * tol);
 151       BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(193.25), T(194.75)), T(0.00037151765099653237632823607820104961270831942138159L), 3 * tol);
 152    }
 153    BOOST_MATH_CHECK_THROW(boost::math::tgamma_ratio(T(0), T(2)), std::domain_error);
 154    BOOST_MATH_CHECK_THROW(boost::math::tgamma_ratio(T(2), T(0)), std::domain_error);
 155    BOOST_MATH_CHECK_THROW(boost::math::tgamma_ratio(T(-1), T(2)), std::domain_error);
 156    BOOST_MATH_CHECK_THROW(boost::math::tgamma_ratio(T(2), T(-1)), std::domain_error);
 157    if(std::numeric_limits<T>::has_infinity)
 158    {
 159       BOOST_MATH_CHECK_THROW(boost::math::tgamma_ratio(std::numeric_limits<T>::infinity(), T(2)), std::domain_error);
 160       BOOST_MATH_CHECK_THROW(boost::math::tgamma_ratio(T(2), std::numeric_limits<T>::infinity()), std::domain_error);
 161    }
 162    //
 163    // Some bug cases from Rocco Romeo:
 164    //
 165    if(std::numeric_limits<T>::min_exponent < -1020)
 166    {
 167       BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -1020)), T(100)), T(1.20390418056093374068585549133304106854441830616070800417660e151L), tol);
 168       BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -1020)), T(150)), T(2.94980580122226729924781231239336413648584663386992050529324e46L), tol);
 169       BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -1020)), T(180)), T(1.00669209319561468911303652019446665496398881230516805140750e-20L), tol);
 170       BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -1020)), T(220)), T(1.08230263539550701700187215488533416834407799907721731317227e-112L), tol);
 171       BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -1020)), T(260)), T(7.62689807594728483940172477902929825624752380292252137809206e-208L), tol);
 172       BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -1020)), T(290)), T(5.40206998243175672775582485422795773284966068149812072521290e-281L), tol);
 173       BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_delta_ratio(T(ldexp(T(1), -1020)), T(ldexp(T(1), -1020))), T(2), tol);
 174       if(0 != ldexp(T(1), -1074))
 175       {
 176          // This is denorm_min at double precision:
 177          BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(ldexp(T(1), -1074)), T(200)), T(5.13282785052571536804189023927976812551830809667482691717029e-50), tol * 50);
 178          BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_ratio(T(200), T(ldexp(T(1), -1074))), T(1.94824379293682687942882944294875087145333536754699303593931e49), tol * 10);
 179          BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_delta_ratio(T(ldexp(T(1), -1074)), T(200)), T(5.13282785052571536804189023927976812551830809667482691717029e-50), tol * 10);
 180          BOOST_CHECK_CLOSE_FRACTION(boost::math::tgamma_delta_ratio(T(200), T(ldexp(T(1), -1074))), T(1), tol);
 181       }
 182    }
 183 }