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https://github.com/saitohirga/WSJT-X.git
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185 lines
9.2 KiB
C++
185 lines
9.2 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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#ifdef _MSC_VER
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# pragma warning (disable : 4756) // overflow in constant arithmetic
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#endif
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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/math_fwd.hpp>
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#include <boost/math/constants/constants.hpp>
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#include <boost/array.hpp>
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#include "functor.hpp"
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#include "handle_test_result.hpp"
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#include "table_type.hpp"
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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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template <class Real, class T>
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void do_test_legendre_p(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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typedef value_type (*pg)(int, value_type);
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pg funcp;
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#if !(defined(ERROR_REPORTING_MODE) && !defined(LEGENDRE_P_FUNCTION_TO_TEST))
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#ifdef LEGENDRE_P_FUNCTION_TO_TEST
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funcp = LEGENDRE_P_FUNCTION_TO_TEST;
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#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
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funcp = boost::math::legendre_p<value_type>;
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#else
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funcp = boost::math::legendre_p;
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#endif
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boost::math::tools::test_result<value_type> result;
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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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// test legendre_p 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_int1<Real>(funcp, 0, 1),
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extract_result<Real>(2));
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handle_test_result(result, data[result.worst()], result.worst(), type_name, "legendre_p", test_name);
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#endif
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typedef value_type (*pg2)(unsigned, value_type);
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#if !(defined(ERROR_REPORTING_MODE) && !defined(LEGENDRE_Q_FUNCTION_TO_TEST))
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#ifdef LEGENDRE_Q_FUNCTION_TO_TEST
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pg2 funcp2 = LEGENDRE_Q_FUNCTION_TO_TEST;
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#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
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pg2 funcp2 = boost::math::legendre_q<value_type>;
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#else
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pg2 funcp2 = boost::math::legendre_q;
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#endif
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//
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// test legendre_q 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_int1<Real>(funcp2, 0, 1),
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extract_result<Real>(3));
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handle_test_result(result, data[result.worst()], result.worst(), type_name, "legendre_q", test_name);
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std::cout << std::endl;
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#endif
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}
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template <class Real, class T>
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void do_test_assoc_legendre_p(const T& data, const char* type_name, const char* test_name)
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{
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#if !(defined(ERROR_REPORTING_MODE) && !defined(LEGENDRE_PA_FUNCTION_TO_TEST))
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typedef Real value_type;
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typedef value_type (*pg)(int, int, value_type);
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#ifdef LEGENDRE_PA_FUNCTION_TO_TEST
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pg funcp = LEGENDRE_PA_FUNCTION_TO_TEST;
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#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
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pg funcp = boost::math::legendre_p<value_type>;
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#else
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pg funcp = boost::math::legendre_p;
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#endif
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boost::math::tools::test_result<value_type> result;
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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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// test legendre_p 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_int2<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, "legendre_p (associated)", test_name);
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std::cout << std::endl;
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#endif
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}
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template <class T>
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void test_legendre_p(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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// three items, input value a, input value b and erf(a, b):
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//
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# include "legendre_p.ipp"
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do_test_legendre_p<T>(legendre_p, name, "Legendre Polynomials: Small Values");
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# include "legendre_p_large.ipp"
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do_test_legendre_p<T>(legendre_p_large, name, "Legendre Polynomials: Large Values");
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# include "assoc_legendre_p.ipp"
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do_test_assoc_legendre_p<T>(assoc_legendre_p, name, "Associated Legendre Polynomials: Small Values");
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}
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template <class T>
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void test_spots(T, const char* t)
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{
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std::cout << "Testing basic sanity checks for type " << t << std::endl;
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//
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// basic sanity checks, tolerance is 100 epsilon:
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//
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T tolerance = boost::math::tools::epsilon<T>() * 100;
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(1, static_cast<T>(0.5L)), static_cast<T>(0.5L), tolerance);
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-1, static_cast<T>(0.5L)), static_cast<T>(1L), tolerance);
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(4, static_cast<T>(0.5L)), static_cast<T>(-0.2890625000000000000000000000000000000000L), tolerance);
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-4, static_cast<T>(0.5L)), static_cast<T>(-0.4375000000000000000000000000000000000000L), tolerance);
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(7, static_cast<T>(0.5L)), static_cast<T>(0.2231445312500000000000000000000000000000L), tolerance);
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-7, static_cast<T>(0.5L)), static_cast<T>(0.3232421875000000000000000000000000000000L), tolerance);
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(40, static_cast<T>(0.5L)), static_cast<T>(-0.09542943523261546936538467572384923220258L), tolerance);
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-40, static_cast<T>(0.5L)), static_cast<T>(-0.1316993126940266257030910566308990611306L), tolerance);
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(4, 2, static_cast<T>(0.5L)), static_cast<T>(4.218750000000000000000000000000000000000L), tolerance);
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-4, 2, static_cast<T>(0.5L)), static_cast<T>(5.625000000000000000000000000000000000000L), tolerance);
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(7, 5, static_cast<T>(0.5L)), static_cast<T>(-5696.789530152175143607977274672800795328L), tolerance);
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-7, 4, static_cast<T>(0.5L)), static_cast<T>(465.1171875000000000000000000000000000000L), tolerance);
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if(std::numeric_limits<T>::max_exponent > std::numeric_limits<float>::max_exponent)
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{
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(40, 30, static_cast<T>(0.5L)), static_cast<T>(-7.855722083232252643913331343916012143461e45L), tolerance);
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}
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-40, 20, static_cast<T>(0.5L)), static_cast<T>(4.966634149702370788037088925152355134665e30L), tolerance);
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(4, 2, static_cast<T>(-0.5L)), static_cast<T>(4.218750000000000000000000000000000000000L), tolerance);
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-4, 2, static_cast<T>(-0.5L)), static_cast<T>(-5.625000000000000000000000000000000000000L), tolerance);
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(7, 5, static_cast<T>(-0.5L)), static_cast<T>(-5696.789530152175143607977274672800795328L), tolerance);
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-7, 4, static_cast<T>(-0.5L)), static_cast<T>(465.1171875000000000000000000000000000000L), tolerance);
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if(std::numeric_limits<T>::max_exponent > std::numeric_limits<float>::max_exponent)
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{
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(40, 30, static_cast<T>(-0.5L)), static_cast<T>(-7.855722083232252643913331343916012143461e45L), tolerance);
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}
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-40, 20, static_cast<T>(-0.5L)), static_cast<T>(-4.966634149702370788037088925152355134665e30L), tolerance);
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(4, -2, static_cast<T>(0.5L)), static_cast<T>(0.01171875000000000000000000000000000000000L), tolerance);
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-4, -2, static_cast<T>(0.5L)), static_cast<T>(0.04687500000000000000000000000000000000000L), tolerance);
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(7, -5, static_cast<T>(0.5L)), static_cast<T>(0.00002378609812640364935569308025139290054701L), tolerance);
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-7, -4, static_cast<T>(0.5L)), static_cast<T>(0.0002563476562500000000000000000000000000000L), tolerance);
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(40, -30, static_cast<T>(0.5L)), static_cast<T>(-2.379819988646847616996471299410611801239e-48L), tolerance);
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_p(-40, -20, static_cast<T>(0.5L)), static_cast<T>(4.356454600748202401657099008867502679122e-33L), tolerance);
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_q(1, static_cast<T>(0.5L)), static_cast<T>(-0.7253469278329725771511886907693685738381L), tolerance);
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_q(4, static_cast<T>(0.5L)), static_cast<T>(0.4401745259867706044988642951843745400835L), tolerance);
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_q(7, static_cast<T>(0.5L)), static_cast<T>(-0.3439152932669753451878700644212067616780L), tolerance);
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BOOST_CHECK_CLOSE_FRACTION(::boost::math::legendre_q(40, static_cast<T>(0.5L)), static_cast<T>(0.1493671665503550095010454949479907886011L), tolerance);
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}
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