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Diffstat (limited to 'src/boost/libs/math/test/test_bessel_y_prime.hpp')
| -rw-r--r-- | src/boost/libs/math/test/test_bessel_y_prime.hpp | 221 |
1 files changed, 221 insertions, 0 deletions
diff --git a/src/boost/libs/math/test/test_bessel_y_prime.hpp b/src/boost/libs/math/test/test_bessel_y_prime.hpp new file mode 100644 index 000000000..b2a898828 --- /dev/null +++ b/src/boost/libs/math/test/test_bessel_y_prime.hpp @@ -0,0 +1,221 @@ +// Copyright (c) 2013 Anton Bikineev +// 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/math/constants/constants.hpp> +#include <boost/type_traits/is_floating_point.hpp> +#include <boost/array.hpp> +#include "functor.hpp" +#include <boost/math/concepts/real_concept.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_cyl_neumann_y_prime(const T& data, const char* type_name, const char* test_name) +{ +#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_YP_FUNCTION_TO_TEST)) + typedef Real value_type; + + typedef value_type (*pg)(value_type, value_type); +#ifdef BESSEL_YP_FUNCTION_TO_TEST + pg funcp = BESSEL_YP_FUNCTION_TO_TEST; +#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) + pg funcp = boost::math::cyl_neumann_prime<value_type, value_type>; +#else + pg funcp = boost::math::cyl_neumann_prime; +#endif + + boost::math::tools::test_result<value_type> result; + + std::cout << "Testing " << test_name << " with type " << type_name + << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n"; + +#include <boost/math/concepts/real_concept.hpp> + // + // test cyl_neumann against data: + // + result = boost::math::tools::test_hetero<Real>( + data, + bind_func<Real>(funcp, 0, 1), + extract_result<Real>(2)); + handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_neumann_prime", test_name); + std::cout << std::endl; +#endif +} + +template <class T> +T cyl_neumann_prime_int_wrapper(T v, T x) +{ +#ifdef BESSEL_YNP_FUNCTION_TO_TEST + return static_cast<T>(BESSEL_YNP_FUNCTION_TO_TEST(boost::math::itrunc(v), x)); +#else + return static_cast<T>(boost::math::cyl_neumann_prime(boost::math::itrunc(v), x)); +#endif +} + +template <class Real, class T> +void do_test_cyl_neumann_y_prime_int(const T& data, const char* type_name, const char* test_name) +{ +#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_YNP_FUNCTION_TO_TEST)) + typedef Real value_type; + + typedef value_type (*pg)(value_type, value_type); +#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) + pg funcp = cyl_neumann_prime_int_wrapper<value_type>; +#else + pg funcp = cyl_neumann_prime_int_wrapper; +#endif + + boost::math::tools::test_result<value_type> result; + + std::cout << "Testing " << test_name << " with type " << type_name + << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n"; + + // + // test cyl_neumann derivative against data: + // + result = boost::math::tools::test_hetero<Real>( + data, + bind_func<Real>(funcp, 0, 1), + extract_result<Real>(2)); + handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_neumann_prime (integer orders)", test_name); + std::cout << std::endl; +#endif +} + +template <class Real, class T> +void do_test_sph_neumann_y_prime(const T& data, const char* type_name, const char* test_name) +{ +#if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_YSP_FUNCTION_TO_TEST)) + typedef Real value_type; + + typedef value_type (*pg)(unsigned, value_type); +#ifdef BESSEL_YPS_FUNCTION_TO_TEST + pg funcp = BESSEL_YPS_FUNCTION_TO_TEST; +#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) + pg funcp = boost::math::sph_neumann_prime<value_type>; +#else + pg funcp = boost::math::sph_neumann_prime; +#endif + + boost::math::tools::test_result<value_type> result; + + std::cout << "Testing " << test_name << " with type " << type_name + << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n"; + + // + // test sph_neumann 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, "sph_neumann_prime", test_name); + std::cout << std::endl; +#endif +} + +template <class T> +void test_bessel_prime(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 Y'(a, b): + // + // function values calculated on wolframalpha.com + static const boost::array<boost::array<typename table_type<T>::type, 3>, 9> y0_prime_data = {{ + {{ SC_(0.0), SC_(1.0), SC_(0.7812128213002887165471500000479648205499063907164) }}, + {{ SC_(0.0), SC_(2.0), SC_(0.1070324315409375468883707722774766366874808982351) }}, + {{ SC_(0.0), SC_(4.0), SC_(-0.397925710557100005253979972450791852271189181623) }}, + {{ SC_(0.0), SC_(8.0), SC_(0.15806046173124749425555526618748355032734404952671) }}, + {{ SC_(0.0), SC_(1e-05), SC_(63661.97727536548515747484843924772510915025447869) }}, + {{ SC_(0.0), SC_(1e-10), SC_(6.366197723675813431507891842844626117090808311905e9) }}, + {{ SC_(0.0), SC_(1e-20), SC_(6.366197723675813430755350534900574482790569176554e19) }}, + {{ SC_(0.0), SC_(1e+03), SC_(0.0247843312923517789148623560971412909386318548649) }}, + {{ SC_(0.0), SC_(1e+05), SC_(-0.00171921035008825630099494523539897102954509505) }} + }}; + static const boost::array<boost::array<typename table_type<T>::type, 3>, 9> y1_prime_data = {{ + {{ SC_(1.0), SC_(1.0), SC_(0.8694697855159656745300767660714799833777239138071) }}, + {{ SC_(1.0), SC_(2.0), SC_(0.5638918884202138930407919788658961916118796762034) }}, + {{ SC_(1.0), SC_(4.0), SC_(-0.116422166964339993217130127559851181308289885304) }}, + {{ SC_(1.0), SC_(8.0), SC_(0.24327904710397215730926780877205580306573293697226) }}, + {{ SC_(1.0), SC_(1e-10), SC_(6.366197723675813430034640215574901912821641347643e19) }}, + {{ SC_(1.0), SC_(1e-20), SC_(6.366197723675813430755350534900574481363849370436e39) }}, + {{ SC_(1.0), SC_(1e+01), SC_(0.030769624862904003032131529943867767819086460209939) }}, + {{ SC_(1.0), SC_(1e+03), SC_(0.004740702308915165178688123821762396300797636752) }}, + {{ SC_(1.0), SC_(1e+05), SC_(0.00184674896676156322177773107486310726913857253) }} + }}; + static const boost::array<boost::array<typename table_type<T>::type, 3>, 10> yn_prime_data = {{ + {{ SC_(2.0), SC_(1e-20), SC_(2.546479089470325372302140213960229792551354331847e60) }}, + {{ SC_(5.0), SC_(10.0), SC_(-0.21265103571277493482623417349611996600573875672875) }}, + {{ SC_(-5.0), SC_(1e+06), SC_(0.00072596421871030053058120610033601018452750251) }}, + {{ SC_(10.0), SC_(10.0), SC_(0.16051488637815838440809874678012991818716553338993) }}, + {{ SC_(10.0), SC_(1e-10), SC_(1.1828049049433493390095436658120487349235941485975e119) }}, + {{ SC_(-10.0), SC_(1e+06), SC_(-0.00033107967471992097725245404942310474516318425) }}, + {{ SC_(1e+02), SC_(5.0), SC_(1.0156878983956300357005118672219842696133568692723e117) }}, + {{ SC_(1e+03), SC_(1e+05), SC_(0.00128310308817651270517132752369325022363869159) }}, + {{ SC_(-1e+03), SC_(7e+02), SC_(1.9243675144213106227065036295645482241938721428442e77) }}, + {{ SC_(-25.0), SC_(8.0), SC_(-1.0191840913424144032043561764980932223038174827996e9) }} + }}; + static const boost::array<boost::array<T, 3>, 11> yv_prime_data = {{ + {{ SC_(0.5), T(1) / (1024*1024), SC_(4.283610118295381639304989276580713877375759e8) }}, + {{ SC_(5.5), SC_(3.125), SC_(3.46903134947470280592767672475643312107258) }}, + {{ SC_(-5.5), SC_(3.125), SC_(-0.04142495199637659623440832639970224440469) }}, + {{ SC_(-5.5), SC_(1e+04), SC_(0.00245022241637437956702428797044365092097074) }}, + {{ T(-10486074) / (1024*1024), T(1)/1024, SC_(1.539961618935582531021699399508514975292038639e42) }}, + {{ T(-10486074) / (1024*1024), SC_(1e+02), SC_(-0.054782042073650048917092191171177791880141278121) }}, + {{ SC_(141.75), SC_(1e+02), SC_(5.3859930471571245788582581390871501852536045509e9) }}, + {{ SC_(141.75), SC_(2e+04), SC_(-0.0042010736481689878858599823347897260616269998902) }}, + {{ SC_(-141.75), SC_(1e+02), SC_(3.8084722070683992315593455637944657331085673830e9) }}, + {{ SC_(8.5), boost::math::constants::pi<T>() * 4, SC_(0.014516314554743677558496402742690038592727861) }}, + {{ SC_(-8.5), boost::math::constants::pi<T>() * 4, SC_(-0.194590144622675911618596506265006877277073804) }}, + }}; + static const boost::array<boost::array<T, 3>, 7> yv_prime_large_data = {{ +#if LDBL_MAX_10_EXP > 326 + {{ SC_(0.5), static_cast<T>(std::ldexp(0.5, -683)), SC_(2.868703194735890254207338863894358862705699335892099e308) }}, +#else + {{ SC_(0.5), static_cast<T>(std::ldexp(0.5, -400)), SC_(4.6822269214637968690651040333526494618220547616350e180) }}, +#endif + {{ SC_(-0.5), static_cast<T>(std::ldexp(0.5, -683)), SC_(3.5741154998461284276309443770923823816821202344841e102) }}, + {{ SC_(0.0), static_cast<T>(std::ldexp(1.0, -53)), SC_(5.73416113922265864550047623401604244038331542638719289e15) }}, + {{ SC_(1.0), static_cast<T>(std::ldexp(1.0, -53)), SC_(5.164873193977108862252341626669725460073766e31) }}, + {{ SC_(2.0), static_cast<T>(std::ldexp(1.0, -53)), SC_(1.8608416793448936781963026443824482966468761e48) }}, + {{ SC_(3.0), static_cast<T>(std::ldexp(1.0, -53)), SC_(1.0056583072431781406772110820260315331263726e65) }}, + {{ SC_(10.0), static_cast<T>(std::ldexp(1.0, -53)), SC_(3.74455823365114672304576809031094538692683400e184) }}, + }}; + + do_test_cyl_neumann_y_prime<T>(y0_prime_data, name, "Y'0: Mathworld Data"); + do_test_cyl_neumann_y_prime<T>(y1_prime_data, name, "Y'1: Mathworld Data"); + do_test_cyl_neumann_y_prime<T>(yn_prime_data, name, "Y'n: Mathworld Data"); + do_test_cyl_neumann_y_prime_int<T>(y0_prime_data, name, "Y'0: Mathworld Data (Integer Version)"); + do_test_cyl_neumann_y_prime_int<T>(y1_prime_data, name, "Y'1: Mathworld Data (Integer Version)"); + do_test_cyl_neumann_y_prime_int<T>(yn_prime_data, name, "Y'n: Mathworld Data (Integer Version)"); + do_test_cyl_neumann_y_prime<T>(yv_prime_data, name, "Y'v: Mathworld Data"); + if(yv_prime_large_data[0][1] != 0) + do_test_cyl_neumann_y_prime<T>(yv_prime_large_data, name, "Y'v: Mathworld Data (large values)"); + +#include "bessel_y01_prime_data.ipp" + do_test_cyl_neumann_y_prime<T>(bessel_y01_prime_data, name, "Y'0 and Y'1: Random Data"); +#include "bessel_yn_prime_data.ipp" + do_test_cyl_neumann_y_prime<T>(bessel_yn_prime_data, name, "Y'n: Random Data"); +#include "bessel_yv_prime_data.ipp" + do_test_cyl_neumann_y_prime<T>(bessel_yv_prime_data, name, "Y'v: Random Data"); + +#include "sph_neumann_prime_data.ipp" + do_test_sph_neumann_y_prime<T>(sph_neumann_prime_data, name, "y': Random Data"); +} + |