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add subtree-ish sources for 12.0.3
[ceph.git] / ceph / src / boost / libs / math / test / test_gamma.cpp
diff --git a/ceph/src/boost/libs/math/test/test_gamma.cpp b/ceph/src/boost/libs/math/test/test_gamma.cpp
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+//  (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_light.hpp>
+#include "test_gamma.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the functions tgamma and lgamma, and the 
+// function tgamma1pm1.  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";
+   }
+   else
+   {
+      largest_type = "long double";
+   }
+#else
+   largest_type = "(long\\s+)?double";
+#endif
+   //
+   // G++ on Darwin: results are just slightly worse than we might hope for
+   // but still pretty good:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                      // platform
+      largest_type,                  // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 100, 15); // test function
+   //
+   // G++ On Win32:
+   //
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Win32.*",                      // platform
+      largest_type,                  // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 100, 15); // test function
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Win32.*",                          // platform
+      "real_concept",                // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 600, 200);  // test function
+   add_expected_result(
+      "GNU.*",                          // compiler
+      ".*",                          // stdlib
+      "Win32.*",                          // platform
+      "real_concept",                // test type(s)
+      "near.*",                      // test data group
+      "tgamma", 200, 100);  // test function
+   //
+   // G++ on Linux, result vary a bit by processor type,
+   // on Itanium results are *much* better than listed here,
+   // but x86 appears to have much less accurate std::pow
+   // that throws off the results:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                       // platform
+      largest_type,                  // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 600, 200); // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                          // platform
+      largest_type,                  // test type(s)
+      "factorials",                  // test data group
+      "lgamma", 30, 10);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                       // platform
+      largest_type,                  // test type(s)
+      "near (1|2|-10)",              // test data group
+      "tgamma", 10, 5);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                       // platform
+      largest_type,                  // test type(s)
+      "near (1|2|-10)",              // test data group
+      "lgamma", 50, 50);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                       // platform
+      largest_type,                  // test type(s)
+      "tgamma1pm1.*",                // test data group
+      "tgamma1pm1", 50, 15);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                       // platform
+      "real_concept",                // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 600, 100);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                       // platform
+      "real_concept",                // test type(s)
+      "near (0|-55)",                // test data group
+      "(t|l)gamma", 300, 150);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "linux",                       // platform
+      "real_concept",                // test type(s)
+      "tgamma1pm1.*",                // test data group
+      "tgamma1pm1", 40, 10);  // test function
+   //
+   // HP-UX results:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                          // platform
+      largest_type,                  // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 5, 4);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                       // platform
+      largest_type,                  // test type(s)
+      "near (0|-55)",                // test data group
+      "tgamma", 10, 5);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                       // platform
+      largest_type,                  // test type(s)
+      "near (1|2|-10)",              // test data group
+      "lgamma", 250, 200);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                          // platform
+      "real_concept",                // test type(s)
+      "factorials",                  // test data group
+      "lgamma", 50, 20);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "HP-UX",                          // platform
+      "real_concept",                // test type(s)
+      "tgamma1pm1.*",                // test data group
+      "tgamma1pm1", 200, 80);  // test function
+   //
+   // Tru64:
+   //
+   add_expected_result(
+      ".*Tru64.*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "factorials",                  // test data group
+      "lgamma", 50, 20);  // test function
+   //
+   // Sun OS:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Sun.*",                       // platform
+      largest_type,                  // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 450, 100); // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*Solaris.*",                       // platform
+      "real_concept",                // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 450, 150); // test function
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 4, 1);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "factorials",                  // test data group
+      "lgamma", 9, 1);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "near (0|-55)",                // test data group
+      "(t|l)gamma", 200, 100);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "near (1|2|-10)",              // test data group
+      "tgamma", 10, 5);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "near (1|2|-10)",              // test data group
+      "lgamma", 14, 7);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      largest_type,                  // test type(s)
+      "tgamma1pm1.*",                // test data group
+      "tgamma1pm1", 30, 9);  // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "factorials",                  // test data group
+      "tgamma", 600, 100);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "factorials",                  // test data group
+      "lgamma", 200, 20);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "near.*",                      // test data group
+      "tgamma", 300, 100);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "near.*",                      // test data group
+      "lgamma", 40000000, 10000000);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "tgamma1pm1.*",                // test data group
+      "tgamma1pm1", 20, 5);  // 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;
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_spots(0.0F, "float");
+#endif
+   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");
+#endif
+
+#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
+   test_gamma(0.1F, "float");
+#endif
+   test_gamma(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_gamma(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_gamma(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::endl;
+#endif
+   
+}
+
+
+