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https://github.com/boostorg/math.git
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4ecb968fc7
Added code for extracting the sign of a number. Fixed a few bugs and tidied up the code a little in places. Changed test_result to properly encapsulate it's contents. [SVN r3106]
209 lines
8.2 KiB
C++
209 lines
8.2 KiB
C++
// (C) Copyright John Maddock 2006.
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// Use, modification and distribution are subject to the
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// Boost Software License, Version 1.0. (See accompanying file
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// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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#include <boost/math/concepts/real_concept.hpp>
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#include <boost/test/included/test_exec_monitor.hpp>
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#include <boost/test/floating_point_comparison.hpp>
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#include <boost/math/special_functions/beta.hpp>
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#include <boost/math/tools/stats.hpp>
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#include <boost/math/tools/test.hpp>
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#include <boost/math/constants/constants.hpp>
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#include <boost/type_traits/is_floating_point.hpp>
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#include <boost/array.hpp>
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#include <boost/lambda/lambda.hpp>
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#include <boost/lambda/bind.hpp>
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#include "test_beta_hooks.hpp"
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#include "handle_test_result.hpp"
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//
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// DESCRIPTION:
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// ~~~~~~~~~~~~
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//
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// This file tests the function beta. There are two sets of tests, spot
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// tests which compare our results with selected values computed
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// using the online special function calculator at
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// functions.wolfram.com, while the bulk of the accuracy tests
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// use values generated with NTL::RR at 1000-bit precision
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// and our generic versions of these functions.
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//
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// Note that when this file is first run on a new platform many of
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// these tests will fail: the default accuracy is 1 epsilon which
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// is too tight for most platforms. In this situation you will
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// need to cast a human eye over the error rates reported and make
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// a judgement as to whether they are acceptable. Either way please
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// report the results to the Boost mailing list. Acceptable rates of
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// error are marked up below as a series of regular expressions that
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// identify the compiler/stdlib/platform/data-type/test-data/test-function
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// along with the maximum expected peek and RMS mean errors for that
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// test.
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//
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void expected_results()
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{
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//
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// Define the max and mean errors expected for
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// various compilers and platforms.
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//
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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"(long\\s+)?double", // test type(s)
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"Beta Function: Small.*", // test data group
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"boost::math::beta", 8, 5); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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"(long\\s+)?double", // test type(s)
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"Beta Function: Medium.*", // test data group
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"boost::math::beta", 101, 35); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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"(long\\s+)?double", // test type(s)
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"Beta Function: Divergent.*", // test data group
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"boost::math::beta", 14, 6); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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"real_concept", // test type(s)
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"Beta Function: Small.*", // test data group
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"boost::math::beta", 10, 6); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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"real_concept", // test type(s)
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"Beta Function: Medium.*", // test data group
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"boost::math::beta", 60, 35); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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"real_concept", // test type(s)
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"Beta Function: Divergent.*", // test data group
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"boost::math::beta", 15, 8); // test function
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//
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// Finish off by printing out the compiler/stdlib/platform names,
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// we do this to make it easier to mark up expected error rates.
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//
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std::cout << "Tests run with " << BOOST_COMPILER << ", "
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<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
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}
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template <class T>
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void do_test_beta(const T& data, const char* type_name, const char* test_name)
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{
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typedef typename T::value_type row_type;
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typedef typename row_type::value_type value_type;
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typedef value_type (*pg)(value_type, value_type);
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pg funcp = boost::math::beta;
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boost::math::tools::test_result<value_type> result;
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std::cout << "Testing " << test_name << " with type " << type_name
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<< "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
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//
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// test beta against data:
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//
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result = boost::math::tools::test(
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data,
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boost::lambda::bind(funcp,
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boost::lambda::ret<value_type>(boost::lambda::_1[0]),
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boost::lambda::ret<value_type>(boost::lambda::_1[1])),
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boost::lambda::ret<value_type>(boost::lambda::_1[2]));
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handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::beta", test_name);
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#ifdef TEST_OTHER
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if(::boost::is_floating_point<value_type>::value){
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funcp = other::beta;
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result = boost::math::tools::test(
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data,
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boost::lambda::bind(funcp,
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boost::lambda::ret<value_type>(boost::lambda::_1[0]),
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boost::lambda::ret<value_type>(boost::lambda::_1[1])),
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boost::lambda::ret<value_type>(boost::lambda::_1[2]));
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print_test_result(result, data[result.worst()], result.worst(), type_name, "other::beta");
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}
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#endif
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std::cout << std::endl;
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}
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template <class T>
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void test_beta(T, const char* name)
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{
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//
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// The actual test data is rather verbose, so it's in a separate file
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//
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// The contents are as follows, each row of data contains
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// three items, input value a, input value b and beta(a, b):
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//
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# include "beta_small_data.ipp"
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do_test_beta(beta_small_data, name, "Beta Function: Small Values");
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# include "beta_med_data.ipp"
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do_test_beta(beta_med_data, name, "Beta Function: Medium Values");
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# include "beta_exp_data.ipp"
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do_test_beta(beta_exp_data, name, "Beta Function: Divergent Values");
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}
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#undef small // VC++ #defines small char !!!!!!
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template <class T>
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void test_spots(T)
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{
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//
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// basic sanity checks, tolerance is 10 epsilon expressed as a percentage:
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//
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T tolerance = boost::math::tools::epsilon<T>() * 10 * 100;
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T small = boost::math::tools::epsilon<T>() / 1024;
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BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(1), static_cast<T>(1)), static_cast<T>(1), tolerance);
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BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(1), static_cast<T>(4)), static_cast<T>(0.25), tolerance);
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BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(4), static_cast<T>(1)), static_cast<T>(0.25), tolerance);
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BOOST_CHECK_CLOSE(::boost::math::beta(small, static_cast<T>(4)), 1/small, tolerance);
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BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(4), small), 1/small, tolerance);
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BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(4), static_cast<T>(20)), static_cast<T>(0.00002823263692828910220214568040654997176736L), tolerance);
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BOOST_CHECK_CLOSE(::boost::math::beta(static_cast<T>(0.0125), static_cast<T>(0.000023)), static_cast<T>(43558.24045647538375006349016083320744662L), tolerance);
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}
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int test_main(int, char* [])
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{
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expected_results();
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test_spots(0.0F);
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test_spots(0.0);
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#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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test_spots(0.0L);
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test_spots(boost::math::concepts::real_concept(0.1));
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#else
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std::cout << "<note>The long double tests have been disabled on this platform "
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"either because the long double overloads of the usual math functions are "
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"not available at all, or because they are too inaccurate for these tests "
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"to pass.</note>" << std::cout;
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#endif
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test_beta(0.1F, "float");
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test_beta(0.1, "double");
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#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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test_beta(0.1L, "long double");
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test_beta(boost::math::concepts::real_concept(0.1), "real_concept");
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#else
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std::cout << "<note>The long double tests have been disabled on this platform "
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"either because the long double overloads of the usual math functions are "
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"not available at all, or because they are too inaccurate for these tests "
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"to pass.</note>" << std::cout;
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#endif
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return 0;
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}
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