| // (C) Copyright John Maddock 2006. |
| // 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) |
| |
| #include <pch.hpp> |
| |
| #include <boost/math/concepts/real_concept.hpp> |
| #include <boost/math/special_functions/acosh.hpp> |
| #include <boost/math/special_functions/asinh.hpp> |
| #include <boost/math/special_functions/atanh.hpp> |
| #include <boost/test/test_exec_monitor.hpp> |
| #include <boost/test/floating_point_comparison.hpp> |
| #include <boost/math/tools/stats.hpp> |
| #include <boost/math/tools/test.hpp> |
| #include <boost/math/constants/constants.hpp> |
| #include <boost/type_traits/is_floating_point.hpp> |
| #include <boost/array.hpp> |
| #include "functor.hpp" |
| |
| #include "handle_test_result.hpp" |
| |
| // |
| // DESCRIPTION: |
| // ~~~~~~~~~~~~ |
| // |
| // This file tests the inverse hyperbolic functions. There are two sets of tests: |
| // 1) Sanity checks: comparison to test values created with the |
| // online calculator at functions.wolfram.com |
| // 2) Accuracy tests use values generated with NTL::RR at |
| // 1000-bit precision and our generic versions of these functions. |
| // |
| // Note that when this file is first run on a new platform many of |
| // these tests will fail: the default accuracy is 1 epsilon which |
| // is too tight for most platforms. In this situation you will |
| // need to cast a human eye over the error rates reported and make |
| // a judgement as to whether they are acceptable. Either way please |
| // report the results to the Boost mailing list. Acceptable rates of |
| // error are marked up below as a series of regular expressions that |
| // identify the compiler/stdlib/platform/data-type/test-data/test-function |
| // along with the maximum expected peek and RMS mean errors for that |
| // test. |
| // |
| |
| void expected_results() |
| { |
| // |
| // Define the max and mean errors expected for |
| // various compilers and platforms. |
| // |
| const char* largest_type; |
| #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS |
| if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >()) |
| { |
| largest_type = "(long\\s+)?double"; |
| } |
| else |
| { |
| largest_type = "long double"; |
| } |
| #else |
| largest_type = "(long\\s+)?double"; |
| #endif |
| |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| "real_concept", // test type(s) |
| "atanh.*", // test data group |
| ".*", 6, 2); // test function |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| largest_type, // test type(s) |
| "atanh.*", // test data group |
| ".*", 6, 1); // test function |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| "real_concept", // test type(s) |
| ".*", // test data group |
| ".*", 4, 2); // test function |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| largest_type, // test type(s) |
| ".*", // test data group |
| ".*", 4, 1); // test function |
| |
| std::cout << "Tests run with " << BOOST_COMPILER << ", " |
| << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl; |
| } |
| |
| template <class T> |
| void do_test_asinh(const T& data, const char* type_name, const char* test_name) |
| { |
| // |
| // test asinh(T) against data: |
| // |
| using namespace std; |
| typedef typename T::value_type row_type; |
| typedef typename row_type::value_type value_type; |
| |
| std::cout << test_name << " with type " << type_name << std::endl; |
| |
| typedef value_type (*pg)(value_type); |
| #if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) |
| pg funcp = boost::math::asinh<value_type>; |
| #else |
| pg funcp = boost::math::asinh; |
| #endif |
| |
| boost::math::tools::test_result<value_type> result; |
| // |
| // test asinh against data: |
| // |
| result = boost::math::tools::test( |
| data, |
| bind_func(funcp, 0), |
| extract_result(1)); |
| handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::asinh", test_name); |
| std::cout << std::endl; |
| } |
| |
| template <class T> |
| void do_test_acosh(const T& data, const char* type_name, const char* test_name) |
| { |
| // |
| // test acosh(T) against data: |
| // |
| using namespace std; |
| typedef typename T::value_type row_type; |
| typedef typename row_type::value_type value_type; |
| |
| std::cout << test_name << " with type " << type_name << std::endl; |
| |
| typedef value_type (*pg)(value_type); |
| #if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) |
| pg funcp = boost::math::acosh<value_type>; |
| #else |
| pg funcp = boost::math::acosh; |
| #endif |
| |
| boost::math::tools::test_result<value_type> result; |
| // |
| // test acosh against data: |
| // |
| result = boost::math::tools::test( |
| data, |
| bind_func(funcp, 0), |
| extract_result(1)); |
| handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::acosh", test_name); |
| std::cout << std::endl; |
| } |
| |
| template <class T> |
| void do_test_atanh(const T& data, const char* type_name, const char* test_name) |
| { |
| // |
| // test atanh(T) against data: |
| // |
| using namespace std; |
| typedef typename T::value_type row_type; |
| typedef typename row_type::value_type value_type; |
| |
| std::cout << test_name << " with type " << type_name << std::endl; |
| |
| typedef value_type (*pg)(value_type); |
| #if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) |
| pg funcp = boost::math::atanh<value_type>; |
| #else |
| pg funcp = boost::math::atanh; |
| #endif |
| |
| boost::math::tools::test_result<value_type> result; |
| // |
| // test atanh against data: |
| // |
| result = boost::math::tools::test( |
| data, |
| bind_func(funcp, 0), |
| extract_result(1)); |
| handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::atanh", test_name); |
| std::cout << std::endl; |
| } |
| |
| template <class T> |
| void test_inv_hyperbolics(T, const char* name) |
| { |
| // |
| // The actual test data is rather verbose, so it's in a separate file |
| // |
| #include "asinh_data.ipp" |
| do_test_asinh(asinh_data, name, "asinh"); |
| #include "acosh_data.ipp" |
| do_test_acosh(acosh_data, name, "acosh"); |
| #include "atanh_data.ipp" |
| do_test_atanh(atanh_data, name, "atanh"); |
| } |
| |
| extern "C" double zetac(double); |
| |
| 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 either 5 or 10 epsilon |
| // expressed as a percentage: |
| // |
| T tolerance = boost::math::tools::epsilon<T>() * 100 * |
| (boost::is_floating_point<T>::value ? 5 : 10); |
| BOOST_CHECK_CLOSE(::boost::math::acosh(static_cast<T>(262145)/262144L), static_cast<T>(0.00276213498595136093375633956331651432309750291610866833462649L), tolerance); |
| BOOST_CHECK_CLOSE(::boost::math::acosh(static_cast<T>(2)), static_cast<T>(1.31695789692481670862504634730796844402698197146751647976847L), tolerance); |
| BOOST_CHECK_CLOSE(::boost::math::acosh(static_cast<T>(40)), static_cast<T>(4.38187034804006698696313269586603717076961771721038534547948L), tolerance); |
| BOOST_CHECK_CLOSE(::boost::math::acosh(static_cast<T>(262145L)), static_cast<T>(13.1698002453253126137651962522659827810753786944786303017757L), tolerance); |
| |
| BOOST_CHECK_CLOSE(::boost::math::asinh(static_cast<T>(0)), static_cast<T>(0), tolerance); |
| BOOST_CHECK_CLOSE(::boost::math::asinh(static_cast<T>(1)/262145L), static_cast<T>(3.81468271375603081996185039385472561751449912305225962381803e-6L), tolerance); |
| BOOST_CHECK_CLOSE(::boost::math::asinh(static_cast<T>(0.25)), static_cast<T>(0.247466461547263452944781549788359289253766903098567696469117L), tolerance); |
| BOOST_CHECK_CLOSE(::boost::math::asinh(static_cast<T>(1)), static_cast<T>(0.881373587019543025232609324979792309028160328261635410753296L), tolerance); |
| BOOST_CHECK_CLOSE(::boost::math::asinh(static_cast<T>(10)), static_cast<T>(2.99822295029796973884659553759645347660705805487730365573446L), tolerance); |
| BOOST_CHECK_CLOSE(::boost::math::asinh(static_cast<T>(262145L)), static_cast<T>(13.1698002453325885158685460826511173257938039316922010439486L), tolerance); |
| |
| BOOST_CHECK_CLOSE(::boost::math::atanh(static_cast<T>(0)), static_cast<T>(0), tolerance); |
| BOOST_CHECK_CLOSE(::boost::math::atanh(static_cast<T>(1)/262145L), static_cast<T>(3.81468271378378607794264842456613940280945630999769224301574e-6L), tolerance); |
| BOOST_CHECK_CLOSE(::boost::math::atanh(static_cast<T>(-1)/262145L), static_cast<T>(-3.81468271378378607794264842456613940280945630999769224301574e-6L), tolerance); |
| BOOST_CHECK_CLOSE(::boost::math::atanh(static_cast<T>(0.5)), static_cast<T>(0.549306144334054845697622618461262852323745278911374725867347L), tolerance); |
| BOOST_CHECK_CLOSE(::boost::math::atanh(static_cast<T>(-0.5)), static_cast<T>(-0.549306144334054845697622618461262852323745278911374725867347L), tolerance); |
| } |
| |
| int test_main(int, char* []) |
| { |
| expected_results(); |
| BOOST_MATH_CONTROL_FP; |
| |
| test_spots(0.0f, "float"); |
| test_spots(0.0, "double"); |
| #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS |
| test_spots(0.0L, "long double"); |
| test_spots(boost::math::concepts::real_concept(0.1), "real_concept"); |
| #else |
| std::cout << "<note>The long double tests have been disabled on this platform " |
| "either because the long double overloads of the usual math functions are " |
| "not available at all, or because they are too inaccurate for these tests " |
| "to pass.</note>" << std::cout; |
| #endif |
| |
| test_inv_hyperbolics(0.1F, "float"); |
| test_inv_hyperbolics(0.1, "double"); |
| #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS |
| test_inv_hyperbolics(0.1L, "long double"); |
| test_inv_hyperbolics(boost::math::concepts::real_concept(0.1), "real_concept"); |
| #else |
| std::cout << "<note>The long double tests have been disabled on this platform " |
| "either because the long double overloads of the usual math functions are " |
| "not available at all, or because they are too inaccurate for these tests " |
| "to pass.</note>" << std::cout; |
| #endif |
| return 0; |
| } |
| |
| |
| |
