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authorDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-27 18:24:20 +0000
committerDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-27 18:24:20 +0000
commit483eb2f56657e8e7f419ab1a4fab8dce9ade8609 (patch)
treee5d88d25d870d5dedacb6bbdbe2a966086a0a5cf /src/boost/libs/math/test/test_hermite.hpp
parentInitial commit. (diff)
downloadceph-upstream.tar.xz
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Adding upstream version 14.2.21.upstream/14.2.21upstream
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'src/boost/libs/math/test/test_hermite.hpp')
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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);
+}
+