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133 lines
16 KiB
C++
133 lines
16 KiB
C++
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// 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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// Constants are too big for float case, but this doesn't matter for test.
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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/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, typename T>
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void do_test_ellint_e2(const T& data, const char* type_name, const char* test)
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{
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#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_2_FUNCTION_TO_TEST))
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typedef Real value_type;
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std::cout << "Testing: " << test << std::endl;
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#ifdef ELLINT_2_FUNCTION_TO_TEST
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value_type(*fp2)(value_type, value_type) = ELLINT_2_FUNCTION_TO_TEST;
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#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
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value_type (*fp2)(value_type, value_type) = boost::math::ellint_2<value_type, value_type>;
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#else
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value_type (*fp2)(value_type, value_type) = boost::math::ellint_2;
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#endif
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boost::math::tools::test_result<value_type> result;
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result = boost::math::tools::test_hetero<Real>(
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data,
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bind_func<Real>(fp2, 1, 0),
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extract_result<Real>(2));
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handle_test_result(result, data[result.worst()], result.worst(),
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type_name, "ellint_2", test);
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std::cout << std::endl;
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#endif
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}
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template <class Real, typename T>
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void do_test_ellint_e1(T& data, const char* type_name, const char* test)
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{
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#if !(defined(ERROR_REPORTING_MODE) && !defined(ELLINT_2C_FUNCTION_TO_TEST))
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typedef Real value_type;
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boost::math::tools::test_result<value_type> result;
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std::cout << "Testing: " << test << std::endl;
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#ifdef ELLINT_2C_FUNCTION_TO_TEST
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value_type(*fp1)(value_type) = ELLINT_2C_FUNCTION_TO_TEST;
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#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
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value_type (*fp1)(value_type) = boost::math::ellint_2<value_type>;
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#else
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value_type (*fp1)(value_type) = boost::math::ellint_2;
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#endif
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result = boost::math::tools::test_hetero<Real>(
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data,
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bind_func<Real>(fp1, 0),
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extract_result<Real>(1));
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handle_test_result(result, data[result.worst()], result.worst(),
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type_name, "ellint_2 (complete)", test);
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std::cout << std::endl;
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#endif
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}
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template <typename T>
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void test_spots(T, const char* type_name)
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{
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BOOST_MATH_STD_USING
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// Function values calculated on http://functions.wolfram.com/
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// Note that Mathematica's EllipticE accepts k^2 as the second parameter.
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static const boost::array<boost::array<typename table_type<T>::type, 3>, 10> data1 = {{
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{{ SC_(0.0), SC_(0.0), SC_(0.0) }},
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{{ SC_(-10.0), SC_(0.0), SC_(-10.0) }},
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{{ SC_(-1.0), SC_(-1.0), SC_(-0.84147098480789650665250232163029899962256306079837) }},
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{{ SC_(-4.0), SC_(0.87890625) /*T(900) / 1024*/, SC_(-3.1756145986492562317862928524528520686391383168377) }},
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{{ SC_(8.0), SC_(-0.5859375) /*T(-600) / 1024*/, SC_(7.2473147180505693037677015377802777959345489333465) }},
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{{ SC_(1e-05), SC_(0.78125) /*T(800) / 1024*/, SC_(9.999999999898274739584436515967055859383969942432E-6) }},
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{{ SC_(1e+05), SC_(0.09765625) /*T(100) / 1024*/, SC_(99761.153306972066658135668386691227343323331995888) }},
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{{ SC_(1e+10), SC_(-0.5), SC_(9.3421545766487137036576748555295222252286528414669e9) }},
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{{ SC_(7.3786976294838206464e19) /*static_cast<T>(ldexp(T(1), 66))*/, SC_(0.390625) /*T(400) / 1024*/, SC_(7.0886102721911705466476846969992069994308167515242e19) }},
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{{ SC_(9.3536104789177786765035829293842113257979682750464e49) /*static_cast<T>(ldexp(T(1), 166))*/, SC_(0.87890625) /*T(900) / 1024*/, SC_(7.1259011068364515942912094521783688927118026465790e49) }},
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}};
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do_test_ellint_e2<T>(data1, type_name, "Elliptic Integral E: Mathworld Data");
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#include "ellint_e2_data.ipp"
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do_test_ellint_e2<T>(ellint_e2_data, type_name, "Elliptic Integral E: Random Data");
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// Function values calculated on http://functions.wolfram.com/
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// Note that Mathematica's EllipticE accepts k^2 as the second parameter.
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static const boost::array<boost::array<typename table_type<T>::type, 2>, 10> data2 = {{
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{{ SC_(-1.0), SC_(1.0) }},
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{{ SC_(0.0), SC_(1.5707963267948966192313216916397514420985846996876) }},
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{{ SC_(0.09765625) /*T(100) / 1024*/, SC_(1.5670445330545086723323795143598956428788609133377) }},
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{{ SC_(0.1953125) /*T(200) / 1024*/, SC_(1.5557071588766556854463404816624361127847775545087) }},
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{{ SC_(0.29296875) /*T(300) / 1024*/, SC_(1.5365278991162754883035625322482669608948678755743) }},
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{{ SC_(0.390625) /*T(400) / 1024*/, SC_(1.5090417763083482272165682786143770446401437564021) }},
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{{ SC_(-0.5), SC_(1.4674622093394271554597952669909161360253617523272) }},
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{{ SC_(-0.5859375) /*T(-600) / 1024*/, SC_(1.4257538571071297192428217218834579920545946473778) }},
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{{ SC_(-0.78125) /*T(-800) / 1024*/, SC_(1.2927868476159125056958680222998765985004489572909) }},
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{{ SC_(-0.87890625) /*T(-900) / 1024*/, SC_(1.1966864890248739524112920627353824133420353430982) }},
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}};
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do_test_ellint_e1<T>(data2, type_name, "Elliptic Integral E: Mathworld Data");
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#include "ellint_e_data.ipp"
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do_test_ellint_e1<T>(ellint_e_data, type_name, "Elliptic Integral E: Random Data");
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static const boost::array<boost::array<typename table_type<T>::type, 3>, 72> small_angles = { {
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{{ SC_(0.00097656250000000000000000000000000000000000000000000), SC_(0.5), SC_(0.00097656246119489873806295171767681128826061680891539) }},{{ SC_(0.00048828125000000000000000000000000000000000000000000), SC_(0.5), SC_(0.00048828124514936177847275804383491089917731651869089) }},{{ SC_(0.00024414062500000000000000000000000000000000000000000), SC_(0.5), SC_(0.00024414062439367020469080959924292294147407037569089) }},{{ SC_(0.00012207031250000000000000000000000000000000000000000), SC_(0.5), SC_(0.00012207031242420877503577978533579671450656676021144) }},{{ SC_(0.000061035156250000000000000000000000000000000000000000), SC_(0.5), SC_(0.000061035156240526096862267116434822602398026203555135) }},{{ SC_(0.000030517578125000000000000000000000000000000000000000), SC_(0.5), SC_(0.000030517578123815762107245722156263286910312978330942) }},{{ SC_(0.000015258789062500000000000000000000000000000000000000), SC_(0.5), SC_(0.000015258789062351970263388913163340973814136929083865) }},{{ SC_(7.6293945312500000000000000000000000000000000000000e-6), SC_(0.5), SC_(7.6293945312314962829230890795991108894734462126936e-6) }},{{ SC_(3.8146972656250000000000000000000000000000000000000e-6), SC_(0.5), SC_(3.8146972656226870353653697266430602974836595561218e-6) }},{{ SC_(1.9073486328125000000000000000000000000000000000000e-6), SC_(0.5), SC_(1.9073486328122108794206707030707941437882919842603e-6) }},{{ SC_(9.5367431640625000000000000000000000000000000000000e-7), SC_(0.5), SC_(9.5367431640621385992758382186011213067376941980499e-7) }},{{ SC_(4.7683715820312500000000000000000000000000000000000e-7), SC_(0.5), SC_(4.7683715820312048249094797723177223079355575583105e-7) }},{{ SC_(2.3841857910156250000000000000000000000000000000000e-7), SC_(0.5), SC_(2.3841857910156193531136849713832334805104830239272e-7) }},{{ SC_(1.1920928955078125000000000000000000000000000000000e-7), SC_(0.5), SC_(1.1920928955078117941392106214180141285643896716624e-7) }},{{ SC_(5.9604644775390625000000000000000000000000000000000e-8), SC_(0.5), SC_(5.9604644775390616176740132767709895180494181165759e-8) }},{{ SC_(2.9802322387695312500000000000000000000000000000000e-8), SC_(0.5), SC_(2.9802322387695311397092516595963259352981751091479e-8) }},{{ SC_(1.4901161193847656250000000000000000000000000000000e-8), SC_(0.5), SC_(1.4901161193847656112136564574495392495854593212863e-8) }},{{ SC_(7.4505805969238281250000000000000000000000000000000e-9), SC_(0.5), SC_(7.4505805969238281077670705718119235956296952243088e-9) }},{{ SC_(3.7252902984619140625000000000000000000000000000000e-9), SC_(0.5), SC_(3.7252902984619140603458838214764904348802078740605e-9) }},{{ SC_(1.8626451492309570312500000000000000000000000000000e-9), SC_(0.5), SC_(1.8626451492309570309807354776845613039046039833520e-9) }},{{ SC_(9.3132257461547851562500000000000000000000000000000e-10), SC_(0.5), SC_(9.3132257461547851559134193471057016297384356039070e-10) }},{{ SC_(4.6566128730773925781250000000000000000000000000000e-10), SC_(0.5), SC_(4.6566128730773925780829274183882127037128569700108e-10) }},{{ SC_(2.3283064365386962890625000000000000000000000000000e-10), SC_(0.5), SC_(2.3283064365386962890572409272985265879639681374864e-10) }},{{ SC_(1.1641532182693481445312500000000000000000000000000e-10), SC_(0.5), SC_(1.1641532182693481445305926159123158234954916739431e-10) }},{{ SC_(5.8207660913467407226562500000000000000000000000000e-11), SC_(0.5), SC_(5.8207660913467407226554282698903947793693632351656e-11) }},{{ SC_(2.9103830456733703613281250000000000000000000000000e-11), SC_(0.5), SC_(2.9103830456733703613280222837362993474211703619812e-11) }},{{ SC_(1.4551915228366851806640625000000000000000000000000e-11), SC_(0.5), SC_(1.4551915228366851806640496604670374184276462939222e-11) }},{{ SC_(7.2759576141834259033203125000000000000000000000000e-12), SC_(0.5), SC_(7.2759576141834259033202964505837967730345578669885e-12) }},{{ SC_(3.6379788070917129516601562500000000000000000000000e-12), SC_(0.5), SC_(3.6379788070917129516601542438229745966293197333606e-12) }},{{ SC_(1.8189894035458564758300781250000000000000000000000e-12), SC_(0.5), SC
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} };
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do_test_ellint_e2<T>(small_angles, type_name, "Elliptic Integral E: Small Angles");
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}
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