Initial commit

libs/math/test/test_jacobi.cpp

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+//  Copyright John Maddock 2012
+
+//  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_jacobi.hpp>
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the Jacobi Elliptic Functions.
+// 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
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*Mathworld.*",               // test data group
+      ".*", 500, 250);               // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*Large Phi.*",               // test data group
+      ".*", 50000, 5000);            // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*near 1.*",               // test data group
+      ".*", 7000, 500);            // test function
+
+   if(std::numeric_limits<long double>::digits == 64)
+   {
+      //
+      // Some errors spill over into double precision:
+      //
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                  // test type(s)
+         ".*Large Phi.*",                  // test data group
+         ".*", 500, 50);                // test function
+      add_expected_result(
+         ".*",                          // compiler
+         ".*",                          // stdlib
+         ".*",                          // platform
+         "double",                  // test type(s)
+         ".*near 1.*",                  // test data group
+         ".*", 10, 5);                // test function
+   }
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      ".*",                          // test data group
+      ".*", 50, 20);               // 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;
+}
+
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+    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");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+    test_spots(boost::math::concepts::real_concept(0), "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
+
+    
+}