Imported Upstream version 1.49.0upstream/1.49.0

1 files changed, 267 insertions, 0 deletions

diff --git a/libs/math/test/test_bessel_y.cpp b/libs/math/test/test_bessel_y.cpp
new file mode 100644
index 0000000000..432a7da5f9
--- /dev/null
+++ b/libs/math/test/test_bessel_y.cpp
@@ -0,0 +1,267 @@
+//  (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)
+
+#include <pch_light.hpp>
+
+#include "test_bessel_y.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the bessel Y function.  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
+
+   //
+   // HP-UX and Solaris rates are very slightly higher:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX|Sun Solaris",                          // platform
+      largest_type,                // test type(s)
+      ".*(Y[nv]|y).*Random.*",           // test data group
+      ".*", 30000, 30000);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX|Sun Solaris",                          // platform
+      largest_type,                  // test type(s)
+      ".*Y[01Nv].*",           // test data group
+      ".*", 1300, 500);               // test function
+   //
+   // Tru64:
+   //
+   add_expected_result(
+      ".*Tru64.*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                // test type(s)
+      ".*(Y[nv]|y).*Random.*",           // test data group
+      ".*", 30000, 30000);             // test function
+   add_expected_result(
+      ".*Tru64.*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                      // test type(s)
+      ".*Y[01Nv].*",           // test data group
+      ".*", 400, 200);               // test function
+
+   //
+   // Mac OS X rates are very slightly higher:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      largest_type,                // test type(s)
+      ".*(Y[nv1]).*",           // test data group
+      ".*", 600000, 100000);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                          // platform
+      "long double|real_concept",        // test type(s)
+      ".*Y[0].*",           // test data group
+      ".*", 1200, 1000);               // test function
+
+   //
+   // Linux:
+   //
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         "linux",                          // platform
+         largest_type,                  // test type(s)
+         ".*Yv.*Random.*",              // test data group
+         ".*", 200000, 200000);         // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         "linux",                          // platform
+         largest_type,                  // test type(s)
+         ".*Y[01v].*",              // test data group
+         ".*", 2000, 1000);         // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         "linux",                          // platform
+         largest_type,                  // test type(s)
+         ".*Yn.*",              // test data group
+         ".*", 30000, 30000);         // test function
+   //
+   // MinGW:
+   //
+      add_expected_result(
+         ".*mingw.*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         largest_type,                  // test type(s)
+         ".*Yv.*Random.*",              // test data group
+         ".*", 200000, 200000);         // test function
+      add_expected_result(
+         ".*mingw.*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         largest_type,                  // test type(s)
+         ".*Y[01v].*",              // test data group
+         ".*", 2000, 1000);         // test function
+      add_expected_result(
+         ".*mingw.*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         largest_type,                  // test type(s)
+         ".*Yn.*",              // test data group
+         ".*", 30000, 30000);         // test function
+   //
+   // Solaris version of long double has it's own error rates,
+   // again just a touch higher than msvc's 64-bit double:
+   //
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Sun.*",                          // platform
+      largest_type,                  // test type(s)
+      "Y[0N].*Mathworld.*",              // test data group
+      ".*", 2000, 2000);         // test function
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   if((std::numeric_limits<double>::digits != std::numeric_limits<long double>::digits)
+      && (std::numeric_limits<long double>::digits < 90))
+   {
+      // some errors spill over into type double as well:
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*Y[Nn].*",              // test data group
+         ".*", 20, 20);         // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                      // test type(s)
+         ".*Yv.*",              // test data group
+         ".*", 80, 70);         // test function
+   }
+#endif
+   //
+   // defaults are based on MSVC-8 on Win32:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*Y0.*Random.*",           // test data group
+      ".*", 600, 400);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*(Y[nv]|y).*Random.*",           // test data group
+      ".*", 2000, 2000);             // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*(Y[nv]|y).*Random.*",           // test data group
+      ".*", 1500, 1000);               // test function
+   //
+   // Fallback for sun has to go after the general cases above:
+   //
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Sun.*",                          // platform
+      largest_type,                  // test type(s)
+      "Y[0N].*",              // test data group
+      ".*", 200, 200);         // test function
+   //
+   // General fallback:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 80, 40);                 // 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;
+}
+
+int test_main(int, char* [])
+{
+#ifdef TEST_GSL
+   gsl_set_error_handler_off();
+#endif
+   expected_results();
+   BOOST_MATH_CONTROL_FP;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_bessel(0.1F, "float");
+#endif
+   test_bessel(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_bessel(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_bessel(boost::math::concepts::real_concept(0.1), "real_concept");
+#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;
+}
+
+
+
+