ceph/src/boost/libs/math/test/test_beta.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 #ifdef _MSC_VER
   8 # pragma warning (disable : 4996) // POSIX name for this item is deprecated
   9 # pragma warning (disable : 4224) // nonstandard extension used : formal parameter 'arg' was previously defined as a type
  10 # pragma warning (disable : 4180) // qualifier applied to function type has no meaning; ignored
  11 #endif
  12
  13 #include <boost/math/concepts/real_concept.hpp>
  14 #define BOOST_TEST_MAIN
  15 #include <boost/test/unit_test.hpp>
  16 #include <boost/test/floating_point_comparison.hpp>
  17 #include <boost/math/special_functions/math_fwd.hpp>
  18 #include <boost/math/tools/stats.hpp>
  19 #include <boost/math/tools/test.hpp>
  20 #include <boost/math/constants/constants.hpp>
  21 #include <boost/type_traits/is_floating_point.hpp>
  22 #include <boost/array.hpp>
  23 #include "functor.hpp"
  24
  25 #include "handle_test_result.hpp"
  26 #include "table_type.hpp"
  27
  28 #undef small // VC++ #defines small char !!!!!!
  29
  30 #ifndef SC_
  31 #define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
  32 #endif
  33
  34 template <class Real, class T>
  35 void do_test_beta(const T& data, const char* type_name, const char* test_name)
  36 {
  37 #if !(defined(ERROR_REPORTING_MODE) && !defined(BETA_FUNCTION_TO_TEST))
  38    typedef Real                   value_type;
  39
  40    typedef value_type (*pg)(value_type, value_type);
  41 #ifdef BETA_FUNCTION_TO_TEST
  42    pg funcp = BETA_FUNCTION_TO_TEST;
  43 #elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
  44    pg funcp = boost::math::beta<value_type, value_type>;
  45 #else
  46    pg funcp = boost::math::beta;
  47 #endif
  48
  49    boost::math::tools::test_result<value_type> result;
  50
  51    std::cout << "Testing " << test_name << " with type " << type_name
  52       << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
  53
  54    //
  55    // test beta against data:
  56    //
  57    result = boost::math::tools::test_hetero<Real>(
  58       data,
  59       bind_func<Real>(funcp, 0, 1),
  60       extract_result<Real>(2));
  61    handle_test_result(result, data[result.worst()], result.worst(), type_name, "beta", test_name);
  62    std::cout << std::endl;
  63 #endif
  64 }
  65 template <class T>
  66 void test_beta(T, const char* name)
  67 {
  68    //
  69    // The actual test data is rather verbose, so it's in a separate file
  70    //
  71    // The contents are as follows, each row of data contains
  72    // three items, input value a, input value b and beta(a, b):
  73    //
  74 #  include "beta_small_data.ipp"
  75
  76    do_test_beta<T>(beta_small_data, name, "Beta Function: Small Values");
  77
  78 #  include "beta_med_data.ipp"
  79
  80    do_test_beta<T>(beta_med_data, name, "Beta Function: Medium Values");
  81
  82 #  include "beta_exp_data.ipp"
  83
  84    do_test_beta<T>(beta_exp_data, name, "Beta Function: Divergent Values");
  85 }
  86
  87 template <class T>
  88 void test_spots(T)
  89 {
  90    //
  91    // Basic sanity checks, tolerance is 20 epsilon expressed as a percentage:
  92    //
  93    T tolerance = boost::math::tools::epsilon<T>() * 20 * 100;
  94    T small = boost::math::tools::epsilon<T>() / 1024;
  95    BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(1), static_cast<T>(1)), static_cast<T>(1), tolerance);
  96    BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(1), static_cast<T>(4)), static_cast<T>(0.25), tolerance);
  97    BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(4), static_cast<T>(1)), static_cast<T>(0.25), tolerance);
  98    BOOST_CHECK_CLOSE(::boost::math::beta(small, static_cast<T>(4)), 1/small, tolerance);
  99    BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(4), small), 1/small, tolerance);
 100    BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(4), static_cast<T>(20)), static_cast<T>(0.00002823263692828910220214568040654997176736L), tolerance);
 101    BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(0.0125L), static_cast<T>(0.000023L)), static_cast<T>(43558.24045647538375006349016083320744662L), tolerance);
 102 }
 103