| // Copyright John Maddock 2006. |
| // Copyright Paul A. Bristow 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) |
| |
| #include <pch.hpp> |
| |
| #include <boost/math/concepts/real_concept.hpp> |
| #include <boost/test/test_exec_monitor.hpp> |
| #include <boost/test/floating_point_comparison.hpp> |
| #include <boost/math/special_functions/erf.hpp> |
| #include <boost/math/constants/constants.hpp> |
| #include <boost/type_traits/is_floating_point.hpp> |
| #include <boost/array.hpp> |
| #include "functor.hpp" |
| |
| #include "test_erf_hooks.hpp" |
| #include "handle_test_result.hpp" |
| |
| // |
| // DESCRIPTION: |
| // ~~~~~~~~~~~~ |
| // |
| // This file tests the functions erf, erfc, and the inverses |
| // erf_inv and erfc_inv. There are two sets of tests, spot |
| // tests which compare our results with selected values computed |
| // using the online special function calculator at |
| // functions.wolfram.com, while the bulk of the 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|real_concept"; |
| } |
| else |
| { |
| largest_type = "long double|real_concept"; |
| } |
| #else |
| largest_type = "(long\\s+)?double"; |
| #endif |
| // |
| // On MacOS X erfc has much higher error levels than |
| // expected: given that the implementation is basically |
| // just a rational function evaluation combined with |
| // exponentiation, we conclude that exp and pow are less |
| // accurate on this platform, especially when the result |
| // is outside the range of a double. |
| // |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| "Mac OS", // platform |
| largest_type, // test type(s) |
| "Erf Function:.*Large.*", // test data group |
| "boost::math::erfc", 4300, 1300); // test function |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| "Mac OS", // platform |
| largest_type, // test type(s) |
| "Erf Function:.*", // test data group |
| "boost::math::erfc", 40, 10); // test function |
| |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| "real_concept", // test type(s) |
| "Erf Function:.*", // test data group |
| "boost::math::erfc?", 20, 6); // test function |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| "real_concept", // test type(s) |
| "Inverse Erfc.*", // test data group |
| "boost::math::erfc_inv", 80, 10); // test function |
| |
| |
| // |
| // Catch all cases come last: |
| // |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| ".*", // test type(s) |
| "Erf Function:.*", // test data group |
| "boost::math::erfc?", 2, 2); // test function |
| add_expected_result( |
| ".*aCC.*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| ".*", // test type(s) |
| "Inverse Erfc.*", // test data group |
| "boost::math::erfc_inv", 80, 10); // test function |
| add_expected_result( |
| ".*", // compiler |
| ".*", // stdlib |
| ".*", // platform |
| ".*", // test type(s) |
| "Inverse Erf.*", // test data group |
| "boost::math::erfc?_inv", 18, 4); // test function |
| |
| // |
| // Finish off by printing out the compiler/stdlib/platform names, |
| // we do this to make it easier to mark up expected error rates. |
| // |
| std::cout << "Tests run with " << BOOST_COMPILER << ", " |
| << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl; |
| } |
| |
| template <class T> |
| void do_test_erf(const T& data, const char* type_name, const char* test_name) |
| { |
| typedef typename T::value_type row_type; |
| typedef typename row_type::value_type value_type; |
| |
| typedef value_type (*pg)(value_type); |
| #if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) |
| pg funcp = boost::math::erf<value_type>; |
| #else |
| pg funcp = boost::math::erf; |
| #endif |
| |
| boost::math::tools::test_result<value_type> result; |
| |
| std::cout << "Testing " << test_name << " with type " << type_name |
| << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n"; |
| |
| // |
| // test erf 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::erf", test_name); |
| #ifdef TEST_OTHER |
| if(::boost::is_floating_point<value_type>::value){ |
| funcp = other::erf; |
| result = boost::math::tools::test( |
| data, |
| bind_func(funcp, 0), |
| extract_result(1)); |
| print_test_result(result, data[result.worst()], result.worst(), type_name, "other::erf"); |
| } |
| #endif |
| // |
| // test erfc against data: |
| // |
| #if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) |
| funcp = boost::math::erfc<value_type>; |
| #else |
| funcp = boost::math::erfc; |
| #endif |
| result = boost::math::tools::test( |
| data, |
| bind_func(funcp, 0), |
| extract_result(2)); |
| handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::erfc", test_name); |
| #ifdef TEST_OTHER |
| if(::boost::is_floating_point<value_type>::value){ |
| funcp = other::erfc; |
| result = boost::math::tools::test( |
| data, |
| bind(funcp, 0), |
| extract_result(2)); |
| print_test_result(result, data[result.worst()], result.worst(), type_name, "other::erfc"); |
| } |
| #endif |
| std::cout << std::endl; |
| } |
| |
| template <class T> |
| void do_test_erf_inv(const T& data, const char* type_name, const char* test_name) |
| { |
| typedef typename T::value_type row_type; |
| typedef typename row_type::value_type value_type; |
| |
| typedef value_type (*pg)(value_type); |
| |
| boost::math::tools::test_result<value_type> result; |
| std::cout << "Testing " << test_name << " with type " << type_name |
| << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n"; |
| // |
| // test erf_inv against data: |
| // |
| #if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) |
| pg funcp = boost::math::erf_inv<value_type>; |
| #else |
| pg funcp = boost::math::erf_inv; |
| #endif |
| 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::erf_inv", test_name); |
| std::cout << std::endl; |
| } |
| |
| template <class T> |
| void do_test_erfc_inv(const T& data, const char* type_name, const char* test_name) |
| { |
| typedef typename T::value_type row_type; |
| typedef typename row_type::value_type value_type; |
| |
| typedef value_type (*pg)(value_type); |
| #if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) |
| pg funcp = boost::math::erf<value_type>; |
| #else |
| pg funcp = boost::math::erf; |
| #endif |
| |
| boost::math::tools::test_result<value_type> result; |
| std::cout << "Testing " << test_name << " with type " << type_name |
| << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n"; |
| // |
| // test erfc_inv against data: |
| // |
| #if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) |
| funcp = boost::math::erfc_inv<value_type>; |
| #else |
| funcp = boost::math::erfc_inv; |
| #endif |
| 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::erfc_inv", test_name); |
| std::cout << std::endl; |
| } |
| |
| template <class T> |
| void test_erf(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 "erf_small_data.ipp" |
| |
| do_test_erf(erf_small_data, name, "Erf Function: Small Values"); |
| |
| # include "erf_data.ipp" |
| |
| do_test_erf(erf_data, name, "Erf Function: Medium Values"); |
| |
| # include "erf_large_data.ipp" |
| |
| do_test_erf(erf_large_data, name, "Erf Function: Large Values"); |
| |
| # include "erf_inv_data.ipp" |
| |
| do_test_erf_inv(erf_inv_data, name, "Inverse Erf Function"); |
| |
| # include "erfc_inv_data.ipp" |
| |
| do_test_erfc_inv(erfc_inv_data, name, "Inverse Erfc Function"); |
| |
| # include "erfc_inv_big_data.ipp" |
| |
| if(std::numeric_limits<T>::min_exponent <= -4500) |
| { |
| do_test_erfc_inv(erfc_inv_big_data, name, "Inverse Erfc Function: extreme values"); |
| } |
| } |
| |
| 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 10 epsilon expressed as a percentage: |
| // |
| T tolerance = boost::math::tools::epsilon<T>() * 1000; |
| BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(0.125)), static_cast<T>(0.85968379519866618260697055347837660181302041685015L), tolerance); |
| BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(0.5)), static_cast<T>(0.47950012218695346231725334610803547126354842424204L), tolerance); |
| BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(1)), static_cast<T>(0.15729920705028513065877936491739074070393300203370L), tolerance); |
| BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(5)), static_cast<T>(1.5374597944280348501883434853833788901180503147234e-12L), tolerance); |
| BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(-0.125)), static_cast<T>(1.1403162048013338173930294465216233981869795831498L), tolerance); |
| BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(-0.5)), static_cast<T>(1.5204998778130465376827466538919645287364515757580L), tolerance); |
| BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(0)), static_cast<T>(1), tolerance); |
| |
| BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(0.125)), static_cast<T>(0.14031620480133381739302944652162339818697958314985L), tolerance); |
| BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(0.5)), static_cast<T>(0.52049987781304653768274665389196452873645157575796L), tolerance); |
| BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(1)), static_cast<T>(0.84270079294971486934122063508260925929606699796630L), tolerance); |
| BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(5)), static_cast<T>(0.9999999999984625402055719651498116565146166211099L), tolerance); |
| BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(-0.125)), static_cast<T>(-0.14031620480133381739302944652162339818697958314985L), tolerance); |
| BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(-0.5)), static_cast<T>(-0.52049987781304653768274665389196452873645157575796L), tolerance); |
| BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(0)), static_cast<T>(0), tolerance); |
| |
| tolerance = boost::math::tools::epsilon<T>() * 100 * 200; // 200 eps %. |
| #if defined(__CYGWIN__) |
| // some platforms long double is only reliably accurate to double precision: |
| if(sizeof(T) == sizeof(long double)) |
| tolerance = boost::math::tools::epsilon<double>() * 100 * 200; // 200 eps %. |
| #endif |
| |
| for(T i = -0.95f; i < 1; i += 0.125f) |
| { |
| T inv = boost::math::erf_inv(i); |
| T b = boost::math::erf(inv); |
| BOOST_CHECK_CLOSE(b, i, tolerance); |
| } |
| for(T j = 0.125f; j < 2; j += 0.125f) |
| { |
| T inv = boost::math::erfc_inv(j); |
| T b = boost::math::erfc(inv); |
| BOOST_CHECK_CLOSE(b, j, tolerance); |
| } |
| } |
| |
| int test_main(int, char* []) |
| { |
| 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"); |
| #if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582)) |
| test_spots(boost::math::concepts::real_concept(0.1), "real_concept"); |
| #endif |
| #endif |
| |
| expected_results(); |
| |
| test_erf(0.1F, "float"); |
| test_erf(0.1, "double"); |
| #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS |
| test_erf(0.1L, "long double"); |
| #ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS |
| #if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582)) |
| test_erf(boost::math::concepts::real_concept(0.1), "real_concept"); |
| #endif |
| #endif |
| #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; |
| } |
| |
| /* |
| |
| Output: |
| |
| test_erf.cpp |
| Compiling manifest to resources... |
| Linking... |
| Embedding manifest... |
| Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_erf.exe" |
| Running 1 test case... |
| Testing basic sanity checks for type float |
| Testing basic sanity checks for type double |
| Testing basic sanity checks for type long double |
| Testing basic sanity checks for type real_concept |
| Tests run with Microsoft Visual C++ version 8.0, Dinkumware standard library version 405, Win32 |
| Testing Erf Function: Small Values with type float |
| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
| boost::math::erf<float> Max = 0 RMS Mean=0 |
| boost::math::erfc<float> Max = 0 RMS Mean=0 |
| Testing Erf Function: Medium Values with type float |
| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
| boost::math::erf<float> Max = 0 RMS Mean=0 |
| boost::math::erfc<float> Max = 0 RMS Mean=0 |
| Testing Erf Function: Large Values with type float |
| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
| boost::math::erf<float> Max = 0 RMS Mean=0 |
| boost::math::erfc<float> Max = 0 RMS Mean=0 |
| Testing Inverse Erf Function with type float |
| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
| boost::math::erf_inv<float> Max = 0 RMS Mean=0 |
| Testing Inverse Erfc Function with type float |
| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
| boost::math::erfc_inv<float> Max = 0 RMS Mean=0 |
| Testing Erf Function: Small Values with type double |
| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
| boost::math::erf<double> Max = 0 RMS Mean=0 |
| boost::math::erfc<double> Max = 0.7857 RMS Mean=0.06415 |
| worst case at row: 149 |
| { 0.3343, 0.3636, 0.6364 } |
| Testing Erf Function: Medium Values with type double |
| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
| boost::math::erf<double> Max = 0.9219 RMS Mean=0.1016 |
| worst case at row: 273 |
| { 0.5252, 0.5424, 0.4576 } |
| boost::math::erfc<double> Max = 1.08 RMS Mean=0.3224 |
| worst case at row: 287 |
| { 0.8461, 0.7685, 0.2315 } |
| Testing Erf Function: Large Values with type double |
| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
| boost::math::erf<double> Max = 0 RMS Mean=0 |
| boost::math::erfc<double> Max = 1.048 RMS Mean=0.2032 |
| worst case at row: 50 |
| { 20.96, 1, 4.182e-193 } |
| Testing Inverse Erf Function with type double |
| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
| boost::math::erf_inv<double> Max = 1.124 RMS Mean=0.5082 |
| worst case at row: 98 |
| { 0.9881, 1.779 } |
| Testing Inverse Erfc Function with type double |
| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
| boost::math::erfc_inv<double> Max = 1.124 RMS Mean=0.5006 |
| worst case at row: 98 |
| { 1.988, -1.779 } |
| Testing Erf Function: Small Values with type long double |
| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
| boost::math::erf<long double> Max = 0 RMS Mean=0 |
| boost::math::erfc<long double> Max = 0.7857 RMS Mean=0.06415 |
| worst case at row: 149 |
| { 0.3343, 0.3636, 0.6364 } |
| Testing Erf Function: Medium Values with type long double |
| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
| boost::math::erf<long double> Max = 0.9219 RMS Mean=0.1016 |
| worst case at row: 273 |
| { 0.5252, 0.5424, 0.4576 } |
| boost::math::erfc<long double> Max = 1.08 RMS Mean=0.3224 |
| worst case at row: 287 |
| { 0.8461, 0.7685, 0.2315 } |
| Testing Erf Function: Large Values with type long double |
| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
| boost::math::erf<long double> Max = 0 RMS Mean=0 |
| boost::math::erfc<long double> Max = 1.048 RMS Mean=0.2032 |
| worst case at row: 50 |
| { 20.96, 1, 4.182e-193 } |
| Testing Inverse Erf Function with type long double |
| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
| boost::math::erf_inv<long double> Max = 1.124 RMS Mean=0.5082 |
| worst case at row: 98 |
| { 0.9881, 1.779 } |
| Testing Inverse Erfc Function with type long double |
| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
| boost::math::erfc_inv<long double> Max = 1.124 RMS Mean=0.5006 |
| worst case at row: 98 |
| { 1.988, -1.779 } |
| Testing Erf Function: Small Values with type real_concept |
| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
| boost::math::erf<real_concept> Max = 1.271 RMS Mean=0.5381 |
| worst case at row: 144 |
| { 0.0109, 0.0123, 0.9877 } |
| boost::math::erfc<real_concept> Max = 0.7857 RMS Mean=0.07777 |
| worst case at row: 149 |
| { 0.3343, 0.3636, 0.6364 } |
| Testing Erf Function: Medium Values with type real_concept |
| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
| boost::math::erf<real_concept> Max = 22.5 RMS Mean=4.224 |
| worst case at row: 233 |
| { -0.7852, -0.7332, 1.733 } |
| Peak error greater than expected value of 20 |
| i:/boost-sandbox/math_toolkit/libs/math/test/handle_test_result.hpp(146): error in "test_main_caller( argc, argv )": check bounds.first >= max_error_found failed |
| boost::math::erfc<real_concept> Max = 97.77 RMS Mean=8.373 |
| worst case at row: 289 |
| { 0.9849, 0.8363, 0.1637 } |
| Peak error greater than expected value of 20 |
| i:/boost-sandbox/math_toolkit/libs/math/test/handle_test_result.hpp(146): error in "test_main_caller( argc, argv )": check bounds.first >= max_error_found failed |
| Mean error greater than expected value of 6 |
| i:/boost-sandbox/math_toolkit/libs/math/test/handle_test_result.hpp(151): error in "test_main_caller( argc, argv )": check bounds.second >= mean_error_found failed |
| Testing Erf Function: Large Values with type real_concept |
| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
| boost::math::erf<real_concept> Max = 0 RMS Mean=0 |
| boost::math::erfc<real_concept> Max = 1.395 RMS Mean=0.2908 |
| worst case at row: 11 |
| { 10.99, 1, 1.87e-054 } |
| Testing Inverse Erf Function with type real_concept |
| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
| boost::math::erf_inv<real_concept> Max = 1.124 RMS Mean=0.5082 |
| worst case at row: 98 |
| { 0.9881, 1.779 } |
| Testing Inverse Erfc Function with type real_concept |
| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
| boost::math::erfc_inv<real_concept> Max = 1.124 RMS Mean=0.5006 |
| worst case at row: 98 |
| { 1.988, -1.779 } |
| Test suite "Test Program" failed with: |
| 181 assertions out of 184 passed |
| 3 assertions out of 184 failed |
| 1 test case out of 1 failed |
| Test case "test_main_caller( argc, argv )" failed with: |
| 181 assertions out of 184 passed |
| 3 assertions out of 184 failed |
| Build Time 0:15 |
| |
| */ |