123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134 |
- // 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)
- #include <boost/math/concepts/real_concept.hpp>
- #define BOOST_TEST_MAIN
- #include <boost/test/unit_test.hpp>
- #include <boost/test/tools/floating_point_comparison.hpp>
- #include <boost/math/special_functions/beta.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"
- #ifndef SC_
- #define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
- #endif
- template <class T>
- T ibeta_forwarder(T a, T b, T x)
- {
- T derivative;
- boost::math::detail::ibeta_imp(a, b, x, boost::math::policies::policy<>(), false, true, &derivative);
- return derivative;
- }
- template <class Real, class T>
- void do_test_beta(const T& data, const char* type_name, const char* test_name)
- {
- typedef Real value_type;
- typedef value_type (*pg)(value_type, value_type, value_type);
- #if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
- pg funcp = boost::math::ibeta_derivative<value_type, value_type, value_type>;
- #else
- pg funcp = boost::math::ibeta_derivative;
- #endif
- boost::math::tools::test_result<value_type> result;
- #if !(defined(ERROR_REPORTING_MODE) && !defined(BETA_INC_FUNCTION_TO_TEST))
- std::cout << "Testing " << test_name << " with type " << type_name
- << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
- //
- // test ibeta_derivative against data:
- //
- result = boost::math::tools::test_hetero<Real>(
- data,
- bind_func<Real>(funcp, 0, 1, 2),
- extract_result<Real>(3));
- handle_test_result(result, data[result.worst()], result.worst(), type_name, "beta (incomplete)", test_name);
- #endif
- #if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
- funcp = ibeta_forwarder<value_type>;
- #else
- funcp = ibeta_forwarder;
- #endif
- if(boost::math::tools::digits<value_type>() > 40)
- {
- //
- // test ibeta_derivative against data:
- //
- result = boost::math::tools::test_hetero<Real>(
- data,
- bind_func<Real>(funcp, 0, 1, 2),
- extract_result<Real>(3));
- handle_test_result(result, data[result.worst()], result.worst(), type_name, "beta (incomplete, internal call test)", test_name);
- }
- }
- 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
- // five items, input value a, input value b, integration limits x, beta(a, b, x) and ibeta(a, b, x):
- //
- #if !defined(TEST_DATA) || (TEST_DATA == 1)
- # include "ibeta_derivative_small_data.ipp"
- do_test_beta<T>(ibeta_derivative_small_data, name, "Incomplete Beta Function Derivative: Small Values");
- #endif
- #if !defined(TEST_DATA) || (TEST_DATA == 2)
- # include "ibeta_derivative_data.ipp"
- do_test_beta<T>(ibeta_derivative_data, name, "Incomplete Beta Function Derivative: Medium Values");
- #endif
- #ifndef __SUNPRO_CC
- #if !defined(TEST_DATA) || (TEST_DATA == 3)
- # include "ibeta_derivative_large_data.ipp"
- do_test_beta<T>(ibeta_derivative_large_data, name, "Incomplete Beta Function Derivative: Large and Diverse Values");
- #endif
- #endif
- #if !defined(TEST_DATA) || (TEST_DATA == 4)
- # include "ibeta_derivative_int_data.ipp"
- do_test_beta<T>(ibeta_derivative_int_data, name, "Incomplete Beta Function Derivative: Small Integer Values");
- #endif
- }
- template <class T>
- void test_spots(T)
- {
- using std::ldexp;
- T tolerance = boost::math::tools::epsilon<T>() * 40000;
- BOOST_CHECK_CLOSE(
- ::boost::math::ibeta_derivative(
- static_cast<T>(2),
- static_cast<T>(4),
- ldexp(static_cast<T>(1), -557)),
- static_cast<T>(4.23957586190238472641508753637420672781472122471791800210e-167L), tolerance * 4);
- BOOST_CHECK_CLOSE(
- ::boost::math::ibeta_derivative(
- static_cast<T>(2),
- static_cast<T>(4.5),
- ldexp(static_cast<T>(1), -557)),
- static_cast<T>(5.24647512910420109893867082626308082567071751558842352760e-167L), tolerance * 4);
- }
|