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authorDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-27 18:24:20 +0000
committerDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-27 18:24:20 +0000
commit483eb2f56657e8e7f419ab1a4fab8dce9ade8609 (patch)
treee5d88d25d870d5dedacb6bbdbe2a966086a0a5cf /src/boost/libs/math/test/test_gamma.cpp
parentInitial commit. (diff)
downloadceph-upstream.tar.xz
ceph-upstream.zip
Adding upstream version 14.2.21.upstream/14.2.21upstream
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'src/boost/libs/math/test/test_gamma.cpp')
-rw-r--r--src/boost/libs/math/test/test_gamma.cpp340
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diff --git a/src/boost/libs/math/test/test_gamma.cpp b/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
+
+}
+
+
+