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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)
- #ifdef _MSC_VER
- # pragma warning(disable : 4127) // conditional expression is constant
- # pragma warning(disable : 4512) // assignment operator could not be generated
- # pragma warning(disable : 4756) // overflow in constant arithmetic
- // Constants are too big for float case, but this doesn't matter for test.
- #endif
- #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_hermite(const T& data, const char* type_name, const char* test_name)
- {
- #if !(defined(ERROR_REPORTING_MODE) && !defined(HERMITE_FUNCTION_TO_TEST))
- typedef Real value_type;
- typedef value_type (*pg)(unsigned, value_type);
- #ifdef HERMITE_FUNCTION_TO_TEST
- pg funcp = HERMITE_FUNCTION_TO_TEST;
- #elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
- pg funcp = boost::math::hermite<value_type>;
- #else
- pg funcp = boost::math::hermite;
- #endif
- boost::math::tools::test_result<value_type> result;
- std::cout << "Testing " << test_name << " with type " << type_name
- << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
- //
- // test hermite 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, "hermite", test_name);
- std::cout << std::endl;
- #endif
- }
- template <class T>
- void test_hermite(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 "hermite.ipp"
- do_test_hermite<T>(hermite, name, "Hermite 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:
- // These spots were generated by MathCAD, precision is
- // 14-16 digits.
- //
- T tolerance = (std::max)(boost::math::tools::epsilon<T>() * 100, static_cast<T>(1e-14));
- BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(0, static_cast<T>(1)), static_cast<T>(1.L), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(1, static_cast<T>(1)), static_cast<T>(2.L), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(1, static_cast<T>(2)), static_cast<T>(4.L), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(1, static_cast<T>(10)), static_cast<T>(20), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(1, static_cast<T>(100)), static_cast<T>(200), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(1, static_cast<T>(1e6)), static_cast<T>(2e6), tolerance);
- if(std::numeric_limits<T>::max_exponent >= std::numeric_limits<double>::max_exponent)
- {
- BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(1, static_cast<T>(1e307)), static_cast<T>(2e307), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(99, static_cast<T>(100)), static_cast<T>(4.967223743011310E+227L), tolerance);
- }
- BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(10, static_cast<T>(30)), static_cast<T>(5.896624628001300E+17L), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(10, static_cast<T>(1000)), static_cast<T>(1.023976960161280E+33L), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(10, static_cast<T>(10)), static_cast<T>(8.093278209760000E+12L), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(10, static_cast<T>(-10)), static_cast<T>(8.093278209760000E+12L), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(3, static_cast<T>(-10)), static_cast<T>(-7.880000000000000E+3L), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(3, static_cast<T>(-1000)), static_cast<T>(-7.999988000000000E+9L), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(::boost::math::hermite(3, static_cast<T>(-1000000)), static_cast<T>(-7.999999999988000E+18L), tolerance);
- }
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