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Diffstat (limited to 'src/boost/libs/math/test/test_laguerre.hpp')
| -rw-r--r-- | src/boost/libs/math/test/test_laguerre.hpp | 139 |
1 files changed, 139 insertions, 0 deletions
diff --git a/src/boost/libs/math/test/test_laguerre.hpp b/src/boost/libs/math/test/test_laguerre.hpp new file mode 100644 index 00000000..a0542d12 --- /dev/null +++ b/src/boost/libs/math/test/test_laguerre.hpp @@ -0,0 +1,139 @@ +// 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/math_fwd.hpp> +#include <boost/math/constants/constants.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 Real, class T> +void do_test_laguerre2(const T& data, const char* type_name, const char* test_name) +{ +#if !(defined(ERROR_REPORTING_MODE) && !defined(LAGUERRE_FUNCTION_TO_TEST)) + typedef Real value_type; + + typedef value_type (*pg)(unsigned, value_type); +#ifdef LAGUERRE_FUNCTION_TO_TEST + pg funcp = LAGUERRE_FUNCTION_TO_TEST; +#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) + pg funcp = boost::math::laguerre<value_type>; +#else + pg funcp = boost::math::laguerre; +#endif + + boost::math::tools::test_result<value_type> result; + + std::cout << "Testing " << test_name << " with type " << type_name + << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n"; + + // + // test laguerre against data: + // + result = boost::math::tools::test_hetero<Real>( + data, + bind_func_int1<Real>(funcp, 0, 1), + extract_result<Real>(2)); + handle_test_result(result, data[result.worst()], result.worst(), type_name, "laguerre(n, x)", test_name); + + std::cout << std::endl; +#endif +} + +template <class Real, class T> +void do_test_laguerre3(const T& data, const char* type_name, const char* test_name) +{ +#if !(defined(ERROR_REPORTING_MODE) && !defined(ASSOC_LAGUERRE_FUNCTION_TO_TEST)) + typedef Real value_type; + + typedef value_type (*pg)(unsigned, unsigned, value_type); +#ifdef ASSOC_LAGUERRE_FUNCTION_TO_TEST + pg funcp = ASSOC_LAGUERRE_FUNCTION_TO_TEST; +#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) + pg funcp = boost::math::laguerre<unsigned, value_type>; +#else + pg funcp = boost::math::laguerre; +#endif + + boost::math::tools::test_result<value_type> result; + + std::cout << "Testing " << test_name << " with type " << type_name + << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n"; + + // + // test laguerre against data: + // + result = boost::math::tools::test_hetero<Real>( + data, + bind_func_int2<Real>(funcp, 0, 1, 2), + extract_result<Real>(3)); + handle_test_result(result, data[result.worst()], result.worst(), type_name, "laguerre(n, m, x)", test_name); + std::cout << std::endl; +#endif +} + +template <class T> +void test_laguerre(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 + // three items, input value a, input value b and erf(a, b): + // +# include "laguerre2.ipp" + + do_test_laguerre2<T>(laguerre2, name, "Laguerre Polynomials"); + +# include "laguerre3.ipp" + + do_test_laguerre3<T>(laguerre3, name, "Associated Laguerre Polynomials"); +} + +template <class T> +void test_spots(T, const char* t) +{ + std::cout << "Testing basic sanity checks for type " << t << std::endl; + // + // basic sanity checks, tolerance is 100 epsilon: + // + T tolerance = boost::math::tools::epsilon<T>() * 100; + BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(1, static_cast<T>(0.5L)), static_cast<T>(0.5L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(4, static_cast<T>(0.5L)), static_cast<T>(-0.3307291666666666666666666666666666666667L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(7, static_cast<T>(0.5L)), static_cast<T>(-0.5183392237103174603174603174603174603175L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(20, static_cast<T>(0.5L)), static_cast<T>(0.3120174870800154148915399248893113634676L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(50, static_cast<T>(0.5L)), static_cast<T>(-0.3181388060269979064951118308575628226834L), tolerance); + + BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(1, static_cast<T>(-0.5L)), static_cast<T>(1.5L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(4, static_cast<T>(-0.5L)), static_cast<T>(3.835937500000000000000000000000000000000L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(7, static_cast<T>(-0.5L)), static_cast<T>(7.950934709821428571428571428571428571429L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(20, static_cast<T>(-0.5L)), static_cast<T>(76.12915699869631476833699787070874048223L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(50, static_cast<T>(-0.5L)), static_cast<T>(2307.428631277506570629232863491518399720L), tolerance); + + BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(1, static_cast<T>(4.5L)), static_cast<T>(-3.500000000000000000000000000000000000000L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(4, static_cast<T>(4.5L)), static_cast<T>(0.08593750000000000000000000000000000000000L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(7, static_cast<T>(4.5L)), static_cast<T>(-1.036928013392857142857142857142857142857L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(20, static_cast<T>(4.5L)), static_cast<T>(1.437239150257817378525582974722170737587L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(50, static_cast<T>(4.5L)), static_cast<T>(-0.7795068145562651416494321484050019245248L), tolerance); + + BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(4, 5, static_cast<T>(0.5L)), static_cast<T>(88.31510416666666666666666666666666666667L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(10, 0, static_cast<T>(2.5L)), static_cast<T>(-0.8802526766660982969576719576719576719577L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(10, 1, static_cast<T>(4.5L)), static_cast<T>(1.564311458042689732142857142857142857143L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(10, 6, static_cast<T>(8.5L)), static_cast<T>(20.51596541066649098875661375661375661376L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(10, 12, static_cast<T>(12.5L)), static_cast<T>(-199.5560968456234671241181657848324514991L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(50, 40, static_cast<T>(12.5L)), static_cast<T>(-4.996769495006119488583146995907246595400e16L), tolerance); +} + |