Adding upstream version 16.2.11+ds.upstream/16.2.11+dsupstream

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

1 files changed, 296 insertions, 0 deletions

diff --git a/src/boost/libs/math/test/test_erf.cpp b/src/boost/libs/math/test/test_erf.cpp
new file mode 100644
index 000000000..8fed443a6
--- /dev/null
+++ b/src/boost/libs/math/test/test_erf.cpp
@@ -0,0 +1,296 @@
+//  Copyright John Maddock 2006.
+//  Copyright Paul A. Bristow 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_erf.hpp"
+
+//
+// DESCRIPTION:
+// ~~~~~~~~~~~~
+//
+// This file tests the functions erf, erfc, and the inverses
+// erf_inv and erfc_inv.  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
+   //
+   // On MacOS X erfc has much higher error levels than
+   // expected: given that the implementation is basically
+   // just a rational function evaluation combined with
+   // exponentiation, we conclude that exp and pow are less
+   // accurate on this platform, especially when the result 
+   // is outside the range of a double.
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                      // platform
+      largest_type,                  // test type(s)
+      "Erf Function:.*Large.*",      // test data group
+      "erfc", 4300, 1300);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      "Mac OS",                      // platform
+      largest_type,                  // test type(s)
+      "Erf Function:.*",             // test data group
+      "erfc", 40, 10);  // test function
+
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      "real_concept",                // test type(s)
+      "Erf Function:.*",             // test data group
+      "erfc?", 20, 6);   // test function
+   add_expected_result(
+      ".*",                           // compiler
+      ".*",                           // stdlib
+      ".*",                           // platform
+      "real_concept",                 // test type(s)
+      "Inverse Erfc.*",               // test data group
+      "erfc_inv", 80, 10);  // test function
+
+
+   //
+   // Catch all cases come last:
+   //
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      "Erf Function:.*",             // test data group
+      "erfc?", 2, 2);   // test function
+   add_expected_result(
+      ".*aCC.*",                     // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      "Inverse Erfc.*",               // test data group
+      "erfc_inv", 80, 10);  // test function
+   add_expected_result(
+      ".*",                          // compiler
+      ".*",                          // stdlib
+      ".*",                          // platform
+      ".*",                          // test type(s)
+      "Inverse Erf.*",               // test data group
+      "erfc?_inv", 18, 4);  // 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 )
+{
+   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");
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
+#endif
+#endif
+
+   expected_results();
+
+   test_erf(0.1F, "float");
+   test_erf(0.1, "double");
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+   test_erf(0.1L, "long double");
+#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
+#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
+   test_erf(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
+}
+
+/*
+
+Output:
+
+test_erf.cpp
+Compiling manifest to resources...
+Linking...
+Embedding manifest...
+Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_erf.exe"
+Running 1 test case...
+Testing basic sanity checks for type float
+Testing basic sanity checks for type double
+Testing basic sanity checks for type long double
+Testing basic sanity checks for type real_concept
+Tests run with Microsoft Visual C++ version 8.0, Dinkumware standard library version 405, Win32
+Testing Erf Function: Small Values with type float
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<float> Max = 0 RMS Mean=0
+boost::math::erfc<float> Max = 0 RMS Mean=0
+Testing Erf Function: Medium Values with type float
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<float> Max = 0 RMS Mean=0
+boost::math::erfc<float> Max = 0 RMS Mean=0
+Testing Erf Function: Large Values with type float
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<float> Max = 0 RMS Mean=0
+boost::math::erfc<float> Max = 0 RMS Mean=0
+Testing Inverse Erf Function with type float
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf_inv<float> Max = 0 RMS Mean=0
+Testing Inverse Erfc Function with type float
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erfc_inv<float> Max = 0 RMS Mean=0
+Testing Erf Function: Small Values with type double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<double> Max = 0 RMS Mean=0
+boost::math::erfc<double> Max = 0.7857 RMS Mean=0.06415
+    worst case at row: 149
+    { 0.3343, 0.3636, 0.6364 }
+Testing Erf Function: Medium Values with type double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<double> Max = 0.9219 RMS Mean=0.1016
+    worst case at row: 273
+    { 0.5252, 0.5424, 0.4576 }
+boost::math::erfc<double> Max = 1.08 RMS Mean=0.3224
+    worst case at row: 287
+    { 0.8461, 0.7685, 0.2315 }
+Testing Erf Function: Large Values with type double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<double> Max = 0 RMS Mean=0
+boost::math::erfc<double> Max = 1.048 RMS Mean=0.2032
+    worst case at row: 50
+    { 20.96, 1, 4.182e-193 }
+Testing Inverse Erf Function with type double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf_inv<double> Max = 1.124 RMS Mean=0.5082
+    worst case at row: 98
+    { 0.9881, 1.779 }
+Testing Inverse Erfc Function with type double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erfc_inv<double> Max = 1.124 RMS Mean=0.5006
+    worst case at row: 98
+    { 1.988, -1.779 }
+Testing Erf Function: Small Values with type long double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<long double> Max = 0 RMS Mean=0
+boost::math::erfc<long double> Max = 0.7857 RMS Mean=0.06415
+    worst case at row: 149
+    { 0.3343, 0.3636, 0.6364 }
+Testing Erf Function: Medium Values with type long double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<long double> Max = 0.9219 RMS Mean=0.1016
+    worst case at row: 273
+    { 0.5252, 0.5424, 0.4576 }
+boost::math::erfc<long double> Max = 1.08 RMS Mean=0.3224
+    worst case at row: 287
+    { 0.8461, 0.7685, 0.2315 }
+Testing Erf Function: Large Values with type long double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<long double> Max = 0 RMS Mean=0
+boost::math::erfc<long double> Max = 1.048 RMS Mean=0.2032
+    worst case at row: 50
+    { 20.96, 1, 4.182e-193 }
+Testing Inverse Erf Function with type long double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf_inv<long double> Max = 1.124 RMS Mean=0.5082
+    worst case at row: 98
+    { 0.9881, 1.779 }
+Testing Inverse Erfc Function with type long double
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erfc_inv<long double> Max = 1.124 RMS Mean=0.5006
+    worst case at row: 98
+    { 1.988, -1.779 }
+Testing Erf Function: Small Values with type real_concept
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<real_concept> Max = 1.271 RMS Mean=0.5381
+    worst case at row: 144
+    { 0.0109, 0.0123, 0.9877 }
+boost::math::erfc<real_concept> Max = 0.7857 RMS Mean=0.07777
+    worst case at row: 149
+    { 0.3343, 0.3636, 0.6364 }
+Testing Erf Function: Medium Values with type real_concept
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<real_concept> Max = 22.5 RMS Mean=4.224
+    worst case at row: 233
+    { -0.7852, -0.7332, 1.733 }
+Peak error greater than expected value of 20
+i:/boost-sandbox/math_toolkit/libs/math/test/handle_test_result.hpp(146): error in "test_main_caller( argc, argv )": check bounds.first >= max_error_found failed
+boost::math::erfc<real_concept> Max = 97.77 RMS Mean=8.373
+    worst case at row: 289
+    { 0.9849, 0.8363, 0.1637 }
+Peak error greater than expected value of 20
+i:/boost-sandbox/math_toolkit/libs/math/test/handle_test_result.hpp(146): error in "test_main_caller( argc, argv )": check bounds.first >= max_error_found failed
+Mean error greater than expected value of 6
+i:/boost-sandbox/math_toolkit/libs/math/test/handle_test_result.hpp(151): error in "test_main_caller( argc, argv )": check bounds.second >= mean_error_found failed
+Testing Erf Function: Large Values with type real_concept
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf<real_concept> Max = 0 RMS Mean=0
+boost::math::erfc<real_concept> Max = 1.395 RMS Mean=0.2908
+    worst case at row: 11
+    { 10.99, 1, 1.87e-054 }
+Testing Inverse Erf Function with type real_concept
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erf_inv<real_concept> Max = 1.124 RMS Mean=0.5082
+    worst case at row: 98
+    { 0.9881, 1.779 }
+Testing Inverse Erfc Function with type real_concept
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+boost::math::erfc_inv<real_concept> Max = 1.124 RMS Mean=0.5006
+    worst case at row: 98
+    { 1.988, -1.779 }
+Test suite "Test Program" failed with:
+  181 assertions out of 184 passed
+  3 assertions out of 184 failed
+  1 test case out of 1 failed
+  Test case "test_main_caller( argc, argv )" failed with:
+    181 assertions out of 184 passed
+    3 assertions out of 184 failed
+Build Time 0:15
+
+*/