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- // 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/tools/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)
- {
- #if !(defined(ERROR_REPORTING_MODE) && !defined(IBETA_INVA_FUNCTION_TO_TEST))
- //typedef typename T::value_type row_type;
- typedef Real value_type;
- typedef value_type (*pg)(value_type, value_type, value_type);
- #ifdef IBETA_INVA_FUNCTION_TO_TEST
- pg funcp = IBETA_INVA_FUNCTION_TO_TEST;
- #elif 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, "ibeta_inva", test_name);
- //
- // test ibetac_inva(T, T, T) against data:
- //
- #ifdef IBETAC_INVA_FUNCTION_TO_TEST
- funcp = IBETAC_INVA_FUNCTION_TO_TEST;
- #elif 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, "ibetac_inva", test_name);
- //
- // test ibeta_invb(T, T, T) against data:
- //
- #ifdef IBETA_INVB_FUNCTION_TO_TEST
- funcp = IBETA_INVB_FUNCTION_TO_TEST;
- #elif 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, "ibeta_invb", test_name);
- //
- // test ibetac_invb(T, T, T) against data:
- //
- #ifdef IBETAC_INVB_FUNCTION_TO_TEST
- funcp = IBETAC_INVB_FUNCTION_TO_TEST;
- #elif 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, "ibetac_invb", test_name);
- #endif
- }
- template <class T>
- void test_beta(T, const char* name)
- {
- #if !defined(ERROR_REPORTING_MODE)
- //
- // 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
- #endif
- #if !defined(TEST_REAL_CONCEPT) || defined(FULL_TEST) || (TEST_DATA == 4)
- if(boost::is_floating_point<T>::value){
- //
- // 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");
- }
- #endif
- }
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