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author | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-04-27 18:24:20 +0000 |
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committer | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-04-27 18:24:20 +0000 |
commit | 483eb2f56657e8e7f419ab1a4fab8dce9ade8609 (patch) | |
tree | e5d88d25d870d5dedacb6bbdbe2a966086a0a5cf /src/boost/libs/math/test/test_spherical_harmonic.hpp | |
parent | Initial commit. (diff) | |
download | ceph-upstream.tar.xz ceph-upstream.zip |
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_spherical_harmonic.hpp')
-rw-r--r-- | src/boost/libs/math/test/test_spherical_harmonic.hpp | 213 |
1 files changed, 213 insertions, 0 deletions
diff --git a/src/boost/libs/math/test/test_spherical_harmonic.hpp b/src/boost/libs/math/test/test_spherical_harmonic.hpp new file mode 100644 index 00000000..0fe578ee --- /dev/null +++ b/src/boost/libs/math/test/test_spherical_harmonic.hpp @@ -0,0 +1,213 @@ +// (C) Copyright John Maddock 2007. +// 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) + +#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error +#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/type_traits/is_floating_point.hpp> +#include <boost/array.hpp> +#include "functor.hpp" + +#include "handle_test_result.hpp" +#include "table_type.hpp" + + +template <class Real, class T> +void do_test_spherical_harmonic(const T& data, const char* type_name, const char* test_name) +{ + typedef Real value_type; + + typedef value_type(*pg)(unsigned, int, value_type, value_type); +#ifdef SPHERICAL_HARMONIC_R_FUNCTION_TO_TEST + pg funcp = SPHERICAL_HARMONIC_R_FUNCTION_TO_TEST; +#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) + pg funcp = boost::math::spherical_harmonic_r<value_type, value_type>; +#else + pg funcp = boost::math::spherical_harmonic_r; +#endif + + boost::math::tools::test_result<value_type> result; + + std::cout << "Testing " << test_name << " with type " << type_name + << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n"; + + // + // test Spheric Harmonic against data: + // +#if !(defined(ERROR_REPORTING_MODE) && !defined(SPHERICAL_HARMONIC_R_FUNCTION_TO_TEST)) + result = boost::math::tools::test_hetero<Real>( + data, + bind_func_int2<Real>(funcp, 0, 1, 2, 3), + extract_result<Real>(4)); + handle_test_result(result, data[result.worst()], result.worst(), type_name, "spherical_harmonic_r", test_name); +#endif + +#if !(defined(ERROR_REPORTING_MODE) && !defined(SPHERICAL_HARMONIC_I_FUNCTION_TO_TEST)) + +#ifdef SPHERICAL_HARMONIC_I_FUNCTION_TO_TEST + funcp = SPHERICAL_HARMONIC_I_FUNCTION_TO_TEST; +#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) + funcp = boost::math::spherical_harmonic_i<value_type, value_type>; +#else + funcp = boost::math::spherical_harmonic_i; +#endif + // + // test Spheric Harmonic against data: + // + result = boost::math::tools::test_hetero<Real>( + data, + bind_func_int2<Real>(funcp, 0, 1, 2, 3), + extract_result<Real>(5)); + handle_test_result(result, data[result.worst()], result.worst(), type_name, "spherical_harmonic_i", test_name); + + std::cout << std::endl; +#endif +} + +template <class Real, class T> +void test_complex_spherical_harmonic(const T& data, const char* /* name */, boost::mpl::true_ const &) +{ + typedef Real value_type; + + for(unsigned i = 0; i < sizeof(data) / sizeof(data[0]); ++i) + { + // + // Sanity check that the complex version does the same thing as the real + // and imaginary versions: + // + std::complex<value_type> r = boost::math::spherical_harmonic( + boost::math::tools::real_cast<unsigned>(data[i][0]), + boost::math::tools::real_cast<unsigned>(data[i][1]), + Real(data[i][2]), + Real(data[i][3])); + value_type re = boost::math::spherical_harmonic_r( + boost::math::tools::real_cast<unsigned>(data[i][0]), + boost::math::tools::real_cast<unsigned>(data[i][1]), + Real(data[i][2]), + Real(data[i][3])); + value_type im = boost::math::spherical_harmonic_i( + boost::math::tools::real_cast<unsigned>(data[i][0]), + boost::math::tools::real_cast<unsigned>(data[i][1]), + Real(data[i][2]), + Real(data[i][3])); + BOOST_CHECK_CLOSE_FRACTION(std::real(r), re, value_type(5)); + BOOST_CHECK_CLOSE_FRACTION(std::imag(r), im, value_type(5)); + } +} + +template <class Real, class T> +void test_complex_spherical_harmonic(const T& /* data */, const char* /* name */, boost::mpl::false_ const &) +{ + // T is not a built in type, can't use std::complex with it... +} + +template <class T> +void test_spherical_harmonic(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 + // 6 items, the 4 input values, plus the real and imaginary results: + // +# include "spherical_harmonic.ipp" + + do_test_spherical_harmonic<T>(spherical_harmonic, name, "Spherical Harmonics"); + + test_complex_spherical_harmonic<T>(spherical_harmonic, name, boost::is_floating_point<T>()); +} + +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::spherical_harmonic_r(3, 2, static_cast<T>(0.5), static_cast<T>(0)), static_cast<T>(0.2061460599687871330692286791802688341213L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 10, static_cast<T>(0.75), static_cast<T>(-0.25)), static_cast<T>(0.06197787102219208244041677775577045124092L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 10, static_cast<T>(0.75), static_cast<T>(-0.25)), static_cast<T>(0.04629885158895932341185988759669916977920L), tolerance); + + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(40, 15, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0.2806904825045745687343492963236868973484L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(40, 15, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(-0.2933918444656603582282372590387544902135L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(40, 15, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.2806904825045745687343492963236868973484L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(40, 15, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.2933918444656603582282372590387544902135L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(40, 15, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(-0.2806904825045745687343492963236868973484L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(40, 15, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(-0.2933918444656603582282372590387544902135L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(40, 15, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(-0.2806904825045745687343492963236868973484L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(40, 15, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.2933918444656603582282372590387544902135L), tolerance); + + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 14, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0.3479218186133435466692822481919867452442L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 14, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0.0293201066685263879566422194539567289974L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 14, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.3479218186133435466692822481919867452442L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 14, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(-0.0293201066685263879566422194539567289974L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 14, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(0.3479218186133435466692822481919867452442L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 14, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(-0.0293201066685263879566422194539567289974L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 14, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.3479218186133435466692822481919867452442L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 14, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.0293201066685263879566422194539567289974L), tolerance); + + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(39, 15, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0.1757594233240278196989039119899901986211L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(39, 15, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(-0.1837126108841860058078729532035715580790L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(39, 15, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.1757594233240278196989039119899901986211L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(39, 15, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.1837126108841860058078729532035715580790L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(39, 15, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(-0.1757594233240278196989039119899901986211L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(39, 15, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(-0.1837126108841860058078729532035715580790L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(39, 15, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(-0.1757594233240278196989039119899901986211L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(39, 15, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.1837126108841860058078729532035715580790L), tolerance); + + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(19, 14, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0.2341701030303444033808969389588343934828L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(19, 14, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0.0197340092863212879172432610952871202640L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(19, 14, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.2341701030303444033808969389588343934828L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(19, 14, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(-0.0197340092863212879172432610952871202640L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(19, 14, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(0.2341701030303444033808969389588343934828L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(19, 14, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(-0.0197340092863212879172432610952871202640L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(19, 14, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.2341701030303444033808969389588343934828L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(19, 14, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.0197340092863212879172432610952871202640L), tolerance); + + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(40, -15, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(-0.2806904825045745687343492963236868973484L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(40, -15, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(-0.2933918444656603582282372590387544902135L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(40, -15, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(-0.2806904825045745687343492963236868973484L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(40, -15, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.2933918444656603582282372590387544902135L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(40, -15, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(0.2806904825045745687343492963236868973484L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(40, -15, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(-0.2933918444656603582282372590387544902135L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(40, -15, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.2806904825045745687343492963236868973484L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(40, -15, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.2933918444656603582282372590387544902135L), tolerance); + + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, -14, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0.3479218186133435466692822481919867452442L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, -14, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(-0.0293201066685263879566422194539567289974L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, -14, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.3479218186133435466692822481919867452442L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, -14, static_cast<T>(-0.75), static_cast<T>(-2.25)), static_cast<T>(0.0293201066685263879566422194539567289974L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, -14, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(0.3479218186133435466692822481919867452442L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, -14, static_cast<T>(0.75), static_cast<T>(-2.25)), static_cast<T>(0.0293201066685263879566422194539567289974L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, -14, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(0.3479218186133435466692822481919867452442L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, -14, static_cast<T>(0.75), static_cast<T>(2.25)), static_cast<T>(-0.0293201066685263879566422194539567289974L), tolerance); + + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 14, static_cast<T>(-4), static_cast<T>(2.25)), static_cast<T>(0.5253373768014719124617844890495875474590L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 14, static_cast<T>(-4), static_cast<T>(2.25)), static_cast<T>(0.0442712905622650144694916590407495495699L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 14, static_cast<T>(-4), static_cast<T>(-2.25)), static_cast<T>(0.5253373768014719124617844890495875474590L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 14, static_cast<T>(-4), static_cast<T>(-2.25)), static_cast<T>(-0.0442712905622650144694916590407495495699L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 14, static_cast<T>(4), static_cast<T>(-2.25)), static_cast<T>(0.5253373768014719124617844890495875474590L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 14, static_cast<T>(4), static_cast<T>(-2.25)), static_cast<T>(-0.0442712905622650144694916590407495495699L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 14, static_cast<T>(4), static_cast<T>(2.25)), static_cast<T>(0.5253373768014719124617844890495875474590L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 14, static_cast<T>(4), static_cast<T>(2.25)), static_cast<T>(0.0442712905622650144694916590407495495699L), tolerance); + + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 15, static_cast<T>(-4), static_cast<T>(2.25)), static_cast<T>(-0.2991140325667575801827063718821420263438L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 15, static_cast<T>(-4), static_cast<T>(2.25)), static_cast<T>(0.3126490678888350710506307405826667514065L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 15, static_cast<T>(-4), static_cast<T>(-2.25)), static_cast<T>(-0.2991140325667575801827063718821420263438L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 15, static_cast<T>(-4), static_cast<T>(-2.25)), static_cast<T>(-0.3126490678888350710506307405826667514065L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 15, static_cast<T>(4), static_cast<T>(-2.25)), static_cast<T>(0.2991140325667575801827063718821420263438L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 15, static_cast<T>(4), static_cast<T>(-2.25)), static_cast<T>(0.3126490678888350710506307405826667514065L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(20, 15, static_cast<T>(4), static_cast<T>(2.25)), static_cast<T>(0.2991140325667575801827063718821420263438L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(20, 15, static_cast<T>(4), static_cast<T>(2.25)), static_cast<T>(-0.3126490678888350710506307405826667514065L), tolerance); + + BOOST_CHECK_EQUAL(::boost::math::spherical_harmonic_r(10, 15, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0)); + BOOST_CHECK_EQUAL(::boost::math::spherical_harmonic_i(10, 15, static_cast<T>(-0.75), static_cast<T>(2.25)), static_cast<T>(0)); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_r(53, 42, static_cast<T>(-8.75), static_cast<T>(-2.25)), static_cast<T>(-0.0008147976618889536159592309471859037113647L), tolerance); + BOOST_CHECK_CLOSE_FRACTION(::boost::math::spherical_harmonic_i(53, 42, static_cast<T>(-8.75), static_cast<T>(-2.25)), static_cast<T>(0.0002099802242493057018193798824353982612756L), tolerance); +} |