| // 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) |
| |
| #define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error |
| |
| #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" |
| |
| #ifdef TEST_GSL |
| #include <gsl/gsl_errno.h> |
| #include <gsl/gsl_message.h> |
| #endif |
| |
| #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 Real, class T> |
| void test_inverses(const T& data) |
| { |
| using namespace std; |
| typedef typename T::value_type row_type; |
| typedef Real value_type; |
| |
| value_type precision = static_cast<value_type>(ldexp(1.0, 1-boost::math::policies::digits<value_type, boost::math::policies::policy<> >()/2)) * 100; |
| if(boost::math::policies::digits<value_type, boost::math::policies::policy<> >() < 50) |
| precision = 1; // 1% or two decimal digits, all we can hope for when the input is truncated |
| |
| for(unsigned i = 0; i < data.size(); ++i) |
| { |
| // |
| // These inverse tests are thrown off if the output of the |
| // incomplete beta is too close to 1: basically there is insuffient |
| // information left in the value we're using as input to the inverse |
| // to be able to get back to the original value. |
| // |
| if(Real(data[i][5]) == 0) |
| { |
| BOOST_CHECK_EQUAL(boost::math::ibeta_inva(Real(data[i][1]), Real(data[i][2]), Real(data[i][5])), std::numeric_limits<value_type>::has_infinity ? std::numeric_limits<value_type>::infinity() : boost::math::tools::max_value<value_type>()); |
| BOOST_CHECK_EQUAL(boost::math::ibeta_invb(Real(data[i][0]), Real(data[i][2]), Real(data[i][5])), boost::math::tools::min_value<value_type>()); |
| } |
| else if((1 - Real(data[i][5]) > 0.001) |
| && (fabs(Real(data[i][5])) > 2 * boost::math::tools::min_value<value_type>()) |
| && (fabs(Real(data[i][5])) > 2 * boost::math::tools::min_value<double>())) |
| { |
| value_type inv = boost::math::ibeta_inva(Real(data[i][1]), Real(data[i][2]), Real(data[i][5])); |
| BOOST_CHECK_CLOSE(Real(data[i][0]), inv, precision); |
| inv = boost::math::ibeta_invb(Real(data[i][0]), Real(data[i][2]), Real(data[i][5])); |
| BOOST_CHECK_CLOSE(Real(data[i][1]), inv, precision); |
| } |
| else if(1 == Real(data[i][5])) |
| { |
| BOOST_CHECK_EQUAL(boost::math::ibeta_inva(Real(data[i][1]), Real(data[i][2]), Real(data[i][5])), boost::math::tools::min_value<value_type>()); |
| BOOST_CHECK_EQUAL(boost::math::ibeta_invb(Real(data[i][0]), Real(data[i][2]), Real(data[i][5])), std::numeric_limits<value_type>::has_infinity ? std::numeric_limits<value_type>::infinity() : boost::math::tools::max_value<value_type>()); |
| } |
| |
| if(Real(data[i][6]) == 0) |
| { |
| BOOST_CHECK_EQUAL(boost::math::ibetac_inva(Real(data[i][1]), Real(data[i][2]), Real(data[i][6])), boost::math::tools::min_value<value_type>()); |
| BOOST_CHECK_EQUAL(boost::math::ibetac_invb(Real(data[i][0]), Real(data[i][2]), Real(data[i][6])), std::numeric_limits<value_type>::has_infinity ? std::numeric_limits<value_type>::infinity() : boost::math::tools::max_value<value_type>()); |
| } |
| else if((1 - Real(data[i][6]) > 0.001) |
| && (fabs(Real(data[i][6])) > 2 * boost::math::tools::min_value<value_type>()) |
| && (fabs(Real(data[i][6])) > 2 * boost::math::tools::min_value<double>())) |
| { |
| value_type inv = boost::math::ibetac_inva(Real(data[i][1]), Real(data[i][2]), Real(data[i][6])); |
| BOOST_CHECK_CLOSE(Real(data[i][0]), inv, precision); |
| inv = boost::math::ibetac_invb(Real(data[i][0]), Real(data[i][2]), Real(data[i][6])); |
| BOOST_CHECK_CLOSE(Real(data[i][1]), inv, precision); |
| } |
| else if(Real(data[i][6]) == 1) |
| { |
| BOOST_CHECK_EQUAL(boost::math::ibetac_inva(Real(data[i][1]), Real(data[i][2]), Real(data[i][6])), std::numeric_limits<value_type>::has_infinity ? std::numeric_limits<value_type>::infinity() : boost::math::tools::max_value<value_type>()); |
| BOOST_CHECK_EQUAL(boost::math::ibetac_invb(Real(data[i][0]), Real(data[i][2]), Real(data[i][6])), boost::math::tools::min_value<value_type>()); |
| } |
| } |
| } |
| |
| template <class Real, class T> |
| void test_inverses2(const T& data, const char* type_name, const char* test_name) |
| { |
| typedef typename T::value_type row_type; |
| 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_inva<value_type, value_type, value_type>; |
| #else |
| pg funcp = boost::math::ibeta_inva; |
| #endif |
| |
| boost::math::tools::test_result<value_type> result; |
| |
| std::cout << "Testing " << test_name << " with type " << type_name |
| << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n"; |
| |
| // |
| // test ibeta_inva(T, T, T) 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, "boost::math::ibeta_inva", test_name); |
| // |
| // test ibetac_inva(T, T, T) against data: |
| // |
| #if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) |
| funcp = boost::math::ibetac_inva<value_type, value_type, value_type>; |
| #else |
| funcp = boost::math::ibetac_inva; |
| #endif |
| result = boost::math::tools::test_hetero<Real>( |
| data, |
| bind_func<Real>(funcp, 0, 1, 2), |
| extract_result<Real>(4)); |
| handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::ibetac_inva", test_name); |
| // |
| // test ibeta_invb(T, T, T) against data: |
| // |
| #if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) |
| funcp = boost::math::ibeta_invb<value_type, value_type, value_type>; |
| #else |
| funcp = boost::math::ibeta_invb; |
| #endif |
| result = boost::math::tools::test_hetero<Real>( |
| data, |
| bind_func<Real>(funcp, 0, 1, 2), |
| extract_result<Real>(5)); |
| handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::ibeta_invb", test_name); |
| // |
| // test ibetac_invb(T, T, T) against data: |
| // |
| #if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) |
| funcp = boost::math::ibetac_invb<value_type, value_type, value_type>; |
| #else |
| funcp = boost::math::ibetac_invb; |
| #endif |
| result = boost::math::tools::test_hetero<Real>( |
| data, |
| bind_func<Real>(funcp, 0, 1, 2), |
| extract_result<Real>(6)); |
| handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::ibetac_invb", 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): |
| // |
| std::cout << "Running sanity checks for type " << name << std::endl; |
| |
| #if !defined(TEST_DATA) || (TEST_DATA == 1) |
| # include "ibeta_small_data.ipp" |
| |
| test_inverses<T>(ibeta_small_data); |
| #endif |
| |
| #if !defined(TEST_DATA) || (TEST_DATA == 2) |
| # include "ibeta_data.ipp" |
| |
| test_inverses<T>(ibeta_data); |
| #endif |
| |
| #if !defined(TEST_DATA) || (TEST_DATA == 3) |
| # include "ibeta_large_data.ipp" |
| |
| test_inverses<T>(ibeta_large_data); |
| #endif |
| |
| #if !defined(TEST_REAL_CONCEPT) || defined(FULL_TEST) || (TEST_DATA == 4) |
| #ifndef FULL_TEST |
| if(boost::is_floating_point<T>::value){ |
| #endif |
| // |
| // This accuracy test is normally only enabled for "real" |
| // floating point types and not for class real_concept. |
| // The reason is that these tests are exceptionally slow |
| // to complete when T doesn't have Lanczos support defined for it. |
| // |
| # include "ibeta_inva_data.ipp" |
| |
| test_inverses2<T>(ibeta_inva_data, name, "Inverse incomplete beta"); |
| #ifndef FULL_TEST |
| } |
| #endif |
| #endif |
| } |
| |