text: // Copyright John Maddock 2006.
  // Copyright Paul A. Bristow 2007, 2009
  //  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)
  
  #ifdef _MSC_VER
  # pragma warning (disable : 4996) // POSIX name for this item is deprecated
  # pragma warning (disable : 4224) // nonstandard extension used : formal parameter 'arg' was previously defined as a type
  # pragma warning (disable : 4180) // qualifier applied to function type has no meaning; ignored
  #endif
  
  #include <boost/math/concepts/real_concept.hpp>
  #define BOOST_TEST_MAIN
  #include <boost/test/unit_test.hpp>
  #include <boost/test/floating_point_comparison.hpp>
  #include <boost/math/special_functions/math_fwd.hpp>
  #include <boost/math/tools/stats.hpp>
  #include <boost/math/tools/test.hpp>
  #include <boost/math/constants/constants.hpp>
  #include <boost/type_traits/is_floating_point.hpp>
  #include <boost/array.hpp>
  #include "functor.hpp"
  
  #include "handle_test_result.hpp"
  #include "table_type.hpp"
  
  #undef small // VC++ #defines small char !!!!!!
  
  #ifndef SC_
  #define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
  #endif
  
  template <class Real, class T>
  void do_test_beta(const T& data, const char* type_name, const char* test_name)
  {
  #if !(defined(ERROR_REPORTING_MODE) && !defined(BETA_FUNCTION_TO_TEST))
     typedef Real                   value_type;
  
     typedef value_type (*pg)(value_type, value_type);
  #ifdef BETA_FUNCTION_TO_TEST
     pg funcp = BETA_FUNCTION_TO_TEST;
  #elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
     pg funcp = boost::math::beta<value_type, value_type>;
  #else
     pg funcp = boost::math::beta;
  #endif
  
     boost::math::tools::test_result<value_type> result;
  
     std::cout << "Testing " << test_name << " with type " << type_name
        << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
  
     //
     // test beta against data:
     //
     result = boost::math::tools::test_hetero<Real>(
        data, 
        bind_func<Real>(funcp, 0, 1), 
        extract_result<Real>(2));
     handle_test_result(result, data[result.worst()], result.worst(), type_name, "beta", test_name);
     std::cout << std::endl;
  #endif
  }
  template <class T>
  void test_beta(T, const char* name)
  {
     //
     // The actual test data is rather verbose, so it's in a separate file
     //
     // The contents are as follows, each row of data contains
     // three items, input value a, input value b and beta(a, b):
     // 
  #  include "beta_small_data.ipp"
  
     do_test_beta<T>(beta_small_data, name, "Beta Function: Small Values");
  
  #  include "beta_med_data.ipp"
  
     do_test_beta<T>(beta_med_data, name, "Beta Function: Medium Values");
  
  #  include "beta_exp_data.ipp"
  
     do_test_beta<T>(beta_exp_data, name, "Beta Function: Divergent Values");
  }
  
  template <class T>
  void test_spots(T)
  {
     //
     // Basic sanity checks, tolerance is 20 epsilon expressed as a percentage:
     //
     T tolerance = boost::math::tools::epsilon<T>() * 20 * 100;
     T small = boost::math::tools::epsilon<T>() / 1024;
     BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(1), static_cast<T>(1)), static_cast<T>(1), tolerance);
     BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(1), static_cast<T>(4)), static_cast<T>(0.25), tolerance);
     BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(4), static_cast<T>(1)), static_cast<T>(0.25), tolerance);
     BOOST_CHECK_CLOSE(::boost::math::beta(small, static_cast<T>(4)), 1/small, tolerance);
     BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(4), small), 1/small, tolerance);
     BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(4), static_cast<T>(20)), static_cast<T>(0.00002823263692828910220214568040654997176736L), tolerance);
     BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(0.0125L), static_cast<T>(0.000023L)), static_cast<T>(43558.24045647538375006349016083320744662L), tolerance);
  }
  
  