Adding upstream version 14.2.21.upstream/14.2.21upstream

Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>

1 files changed, 133 insertions, 0 deletions

diff --git a/src/boost/libs/math/test/test_digamma.cpp b/src/boost/libs/math/test/test_digamma.cpp
new file mode 100644
index 00000000..67fee819
--- /dev/null
+++ b/src/boost/libs/math/test/test_digamma.cpp
@@ -0,0 +1,133 @@
+//  (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_digamma.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the digamma 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.
+   //
+   add_expected_result(
+      ".*",                     // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*Negative.*",                    // test data group
+      ".*", 300, 40);                // test function
+   add_expected_result(
+      ".*",                     // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*Near the Positive Root.*",  // test data group
+      ".*", 25000, 3000);            // test function
+   add_expected_result(
+      ".*",                     // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      ".*Half.*",                    // test data group
+      ".*", 15, 10);                 // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      ".*",                          // test data group
+      ".*", 3, 3);                   // 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 test_spots(T, const char* t)
+{
+   std::cout << "Testing basic sanity checks for type " << t << std::endl;
+   //
+   // Basic sanity checks, tolerance is 3 epsilon expressed as a percentage:
+   //
+   T tolerance = boost::math::tools::epsilon<T>() * 300;
+   //
+   // Special tolerance (200eps) for when we're very near the root,
+   // and T has more than 64-bits in it's mantissa:
+   //
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(0.125)), static_cast<T>(-8.3884926632958548678027429230863430000514460424495L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(0.5)), static_cast<T>(-1.9635100260214234794409763329987555671931596046604L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(1)), static_cast<T>(-0.57721566490153286060651209008240243104215933593992L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(1.5)), static_cast<T>(0.036489973978576520559023667001244432806840395339566L), tolerance * 40);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(1.5) - static_cast<T>(1)/32), static_cast<T>(0.00686541147073577672813890866512415766586241385896200579891429L), tolerance * 100);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(2)), static_cast<T>(0.42278433509846713939348790991759756895784066406008L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(8)), static_cast<T>(2.0156414779556099965363450527747404261006978069172L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(12)), static_cast<T>(2.4426616799758120167383652547949424463027180089374L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(22)), static_cast<T>(3.0681430398611966699248760264450329818421699570581L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(50)), static_cast<T>(3.9019896734278921969539597028823666609284424880275L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(500)), static_cast<T>(6.2136077650889917423827750552855712637776544784569L), tolerance);
+   //
+   // negative values:
+   //
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(-0.125)), static_cast<T>(7.1959829284523046176757814502538535827603450463013L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(-10.125)), static_cast<T>(9.9480538258660761287008034071425343357982429855241L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(-10.875)), static_cast<T>(-5.1527360383841562620205965901515879492020193154231L), tolerance);
+   BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(-1.5)), static_cast<T>(0.70315664064524318722569033366791109947350706200623L), tolerance);
+}
+
+BOOST_AUTO_TEST_CASE( test_main )
+{
+   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");
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+
+   expected_results();
+
+   test_digamma(0.1F, "float");
+   test_digamma(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_digamma(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+   test_digamma(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::endl;
+#endif
+}
+
+