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			135 lines
		
	
	
		
			4.4 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
			
		
		
	
	
			135 lines
		
	
	
		
			4.4 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
| // Copyright John Maddock 2006.
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| // Copyright Paul A. Bristow 2007, 2009
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| //  Use, modification and distribution are subject to the
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| //  Boost Software License, Version 1.0. (See accompanying file
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| //  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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| 
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| #include <boost/math/concepts/real_concept.hpp>
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| #define BOOST_TEST_MAIN
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| #include <boost/test/unit_test.hpp>
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| #include <boost/test/floating_point_comparison.hpp>
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| #include <boost/math/special_functions/beta.hpp>
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| #include <boost/math/tools/stats.hpp>
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| #include <boost/math/tools/test.hpp>
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| #include <boost/math/constants/constants.hpp>
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| #include <boost/type_traits/is_floating_point.hpp>
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| #include <boost/array.hpp>
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| #include "functor.hpp"
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| 
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| #include "handle_test_result.hpp"
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| #include "table_type.hpp"
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| 
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| #ifndef SC_
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| #define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
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| #endif
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| 
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| template <class T>
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| T ibeta_forwarder(T a, T b, T x)
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| {
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|    T derivative;
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|    boost::math::detail::ibeta_imp(a, b, x, boost::math::policies::policy<>(), false, true, &derivative);
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|    return derivative;
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| }
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| 
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| template <class Real, class T>
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| void do_test_beta(const T& data, const char* type_name, const char* test_name)
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| {
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|    typedef Real                   value_type;
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| 
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|    typedef value_type (*pg)(value_type, value_type, value_type);
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| #if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
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|    pg funcp = boost::math::ibeta_derivative<value_type, value_type, value_type>;
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| #else
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|    pg funcp = boost::math::ibeta_derivative;
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| #endif
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| 
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|    boost::math::tools::test_result<value_type> result;
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| 
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| #if !(defined(ERROR_REPORTING_MODE) && !defined(BETA_INC_FUNCTION_TO_TEST))
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|    std::cout << "Testing " << test_name << " with type " << type_name
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|       << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
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| 
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|    //
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|    // test ibeta_derivative against data:
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|    //
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|    result = boost::math::tools::test_hetero<Real>(
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|       data,
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|       bind_func<Real>(funcp, 0, 1, 2),
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|       extract_result<Real>(3));
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|    handle_test_result(result, data[result.worst()], result.worst(), type_name, "beta (incomplete)", test_name);
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| #endif
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| 
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| #if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
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|    funcp = ibeta_forwarder<value_type>;
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| #else
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|    funcp = ibeta_forwarder;
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| #endif
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| 
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|    if(boost::math::tools::digits<value_type>() > 40)
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|    {
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|       //
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|       // test ibeta_derivative against data:
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|       //
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|       result = boost::math::tools::test_hetero<Real>(
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|          data,
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|          bind_func<Real>(funcp, 0, 1, 2),
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|          extract_result<Real>(3));
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|       handle_test_result(result, data[result.worst()], result.worst(), type_name, "beta (incomplete, internal call test)", test_name);
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|    }
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| }
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| 
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| template <class T>
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| void test_beta(T, const char* name)
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| {
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|    //
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|    // The actual test data is rather verbose, so it's in a separate file
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|    //
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|    // The contents are as follows, each row of data contains
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|    // five items, input value a, input value b, integration limits x, beta(a, b, x) and ibeta(a, b, x):
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|    //
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| #if !defined(TEST_DATA) || (TEST_DATA == 1)
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| #  include "ibeta_derivative_small_data.ipp"
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| 
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|    do_test_beta<T>(ibeta_derivative_small_data, name, "Incomplete Beta Function Derivative: Small Values");
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| #endif
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| 
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| #if !defined(TEST_DATA) || (TEST_DATA == 2)
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| #  include "ibeta_derivative_data.ipp"
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| 
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|    do_test_beta<T>(ibeta_derivative_data, name, "Incomplete Beta Function Derivative: Medium Values");
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| 
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| #endif
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| #ifndef __SUNPRO_CC
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| #if !defined(TEST_DATA) || (TEST_DATA == 3)
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| #  include "ibeta_derivative_large_data.ipp"
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| 
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|    do_test_beta<T>(ibeta_derivative_large_data, name, "Incomplete Beta Function Derivative: Large and Diverse Values");
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| #endif
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| #endif
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| #if !defined(TEST_DATA) || (TEST_DATA == 4)
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| #  include "ibeta_derivative_int_data.ipp"
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| 
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|    do_test_beta<T>(ibeta_derivative_int_data, name, "Incomplete Beta Function Derivative: Small Integer Values");
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| #endif
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| }
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| 
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| template <class T>
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| void test_spots(T)
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| {
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|    using std::ldexp;
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|    T tolerance = boost::math::tools::epsilon<T>() * 40000;
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|       BOOST_CHECK_CLOSE(
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|          ::boost::math::ibeta_derivative(
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|             static_cast<T>(2),
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|             static_cast<T>(4),
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|             ldexp(static_cast<T>(1), -557)),
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|          static_cast<T>(4.23957586190238472641508753637420672781472122471791800210e-167L), tolerance * 4);
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|       BOOST_CHECK_CLOSE(
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|          ::boost::math::ibeta_derivative(
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|             static_cast<T>(2),
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|             static_cast<T>(4.5),
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|             ldexp(static_cast<T>(1), -557)),
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|          static_cast<T>(5.24647512910420109893867082626308082567071751558842352760e-167L), tolerance * 4);
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| }
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| 
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