mirror of
https://github.com/boostorg/math.git
synced 2026-01-19 04:22:09 +00:00
Added missing forward declaration to ellint_1.hpp. Adjusted native log1p support for aCC. Removed bad forward declaration of fpclassify: correct declaration appears later in the file. Adjusted compile_test/test_compile_result.hpp to not return a NULL reference. Adjusted permitted error-limits for new platforms. Split some of the tests into smaller units so we don't get compiler timeouts when building (hopefully!) [SVN r39893]
561 lines
22 KiB
C++
561 lines
22 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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#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
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#include <boost/lambda/lambda.hpp>
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#include <boost/lambda/bind.hpp>
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#endif
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#include "test_beta_hooks.hpp"
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#include "handle_test_result.hpp"
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#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
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# define TEST_FLOAT
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# define TEST_DOUBLE
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# define TEST_LDOUBLE
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# define TEST_REAL_CONCEPT
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#endif
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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 incomplete beta functions beta,
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// betac, ibeta and ibetac. 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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const char* largest_type;
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#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
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{
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largest_type = "(long\\s+)?double";
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}
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else
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{
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largest_type = "long double";
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}
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#else
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largest_type = "(long\\s+)?double";
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#endif
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//
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// Darwin: just one special case for real_concept:
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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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"Mac OS", // platform
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"real_concept", // test type(s)
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"(?i).*large.*", // test data group
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".*", 400000, 50000); // test function
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//
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// Linux - results depend quite a bit on the
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// processor type, and how good the std::pow
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// function is for that processor.
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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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"linux", // platform
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largest_type, // test type(s)
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"(?i).*small.*", // test data group
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".*", 350, 100); // test function
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add_expected_result(
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"[^|]*", // compiler
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"[^|]*", // stdlib
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"linux", // platform
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largest_type, // test type(s)
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"(?i).*medium.*", // test data group
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".*", 300, 80); // test function
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//
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// Deficiencies in pow function really kick in here for
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// large arguments. Note also that the tests here get
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// *very* extreme due to the increased exponent range
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// of 80-bit long doubles. Also effect Mac OS.
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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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"linux|Mac OS|Sun.*", // platform
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"double", // test type(s)
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"(?i).*large.*", // test data group
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".*", 40, 20); // test function
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add_expected_result(
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"[^|]*", // compiler
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"[^|]*", // stdlib
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"linux|Mac OS", // platform
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largest_type, // test type(s)
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"(?i).*large.*", // test data group
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".*", 200000, 10000); // test function
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add_expected_result(
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"[^|]*", // compiler
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"[^|]*", // stdlib
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"linux|Mac OS", // platform
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"real_concept", // test type(s)
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"(?i).*medium.*", // test data group
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".*", 350, 100); // test function
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//
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// HP-UX:
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//
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// Large value tests include some with *very* extreme
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// results, thanks to the large exponent range of
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// 128-bit long doubles.
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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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"HP-UX", // platform
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largest_type, // test type(s)
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"(?i).*large.*", // test data group
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".*", 200000, 10000); // test function
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//
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// Sun OS:
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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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"Sun.*", // platform
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largest_type, // test type(s)
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"(?i).*large.*", // test data group
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".*", 80000, 10000); // test function
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add_expected_result(
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"[^|]*", // compiler
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"[^|]*", // stdlib
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"Sun.*", // platform
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largest_type, // test type(s)
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"(?i).*small.*", // test data group
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".*", 130, 30); // test function
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add_expected_result(
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"[^|]*", // compiler
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"[^|]*", // stdlib
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"Sun.*", // platform
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"real_concept", // test type(s)
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"(?i).*medium.*", // test data group
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".*", 200, 40); // test function
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add_expected_result(
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"[^|]*", // compiler
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"[^|]*", // stdlib
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"Sun.*", // platform
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"real_concept", // test type(s)
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"(?i).*small.*", // test data group
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".*", 130, 30); // test function
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//
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// MinGW:
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//
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add_expected_result(
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"[^|]*mingw[^|]*", // compiler
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"[^|]*", // stdlib
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".*", // platform
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"double", // test type(s)
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"(?i).*large.*", // test data group
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".*", 20, 10); // test function
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add_expected_result(
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"[^|]*mingw[^|]*", // compiler
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"[^|]*", // stdlib
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".*", // platform
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largest_type, // test type(s)
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"(?i).*large.*", // test data group
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".*", 200000, 10000); // test function
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#ifdef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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//
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// No long doubles:
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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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BOOST_PLATFORM, // platform
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largest_type, // test type(s)
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"(?i).*large.*", // test data group
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".*", 13000, 500); // test function
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#endif
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//
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// Catch all cases come last:
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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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largest_type, // test type(s)
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"(?i).*small.*", // test data group
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".*", 60, 10); // 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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largest_type, // test type(s)
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"(?i).*medium.*", // test data group
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".*", 150, 50); // 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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largest_type, // test type(s)
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"(?i).*large.*", // test data group
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".*", 5000, 500); // 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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"(?i).*small.*", // test data group
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".*", 60, 15); // 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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"(?i).*medium.*", // test data group
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".*", 200, 50); // 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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"(?i).*large.*", // test data group
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".*", 200000, 50000); // test function
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// catch all default is 2eps for all types:
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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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"[^|]*", // test type(s)
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"[^|]*", // test data group
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".*", 2, 2); // 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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#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
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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, 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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boost::lambda::ret<value_type>(boost::lambda::_1[3]));
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handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::beta", test_name);
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funcp = boost::math::betac;
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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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boost::lambda::ret<value_type>(boost::lambda::_1[4]));
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handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::betac", test_name);
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funcp = boost::math::ibeta;
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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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boost::lambda::ret<value_type>(boost::lambda::_1[5]));
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handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::ibeta", test_name);
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funcp = boost::math::ibetac;
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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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boost::lambda::ret<value_type>(boost::lambda::_1[6]));
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handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::ibetac", 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::ibeta;
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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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boost::lambda::ret<value_type>(boost::lambda::_1[5]));
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print_test_result(result, data[result.worst()], result.worst(), type_name, "other::ibeta");
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}
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#endif
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std::cout << std::endl;
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#endif
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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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// five items, input value a, input value b, integration limits x, beta(a, b, x) and ibeta(a, b, x):
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//
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# include "ibeta_small_data.ipp"
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do_test_beta(ibeta_small_data, name, "Incomplete Beta Function: Small Values");
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# include "ibeta_data.ipp"
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do_test_beta(ibeta_data, name, "Incomplete Beta Function: Medium Values");
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# include "ibeta_large_data.ipp"
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do_test_beta(ibeta_large_data, name, "Incomplete Beta Function: Large and Diverse Values");
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# include "ibeta_int_data.ipp"
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do_test_beta(ibeta_int_data, name, "Incomplete Beta Function: Small Integer Values");
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}
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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 30 epsilon expressed as a percentage:
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//
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T tolerance = boost::math::tools::epsilon<T>() * 3000;
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BOOST_CHECK_CLOSE(
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::boost::math::ibeta(
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static_cast<T>(159) / 10000, //(0.015964560210704803L),
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static_cast<T>(1184) / 1000000000L,//(1.1846856068586931e-005L),
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static_cast<T>(6917) / 10000),//(0.69176378846168518L)),
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static_cast<T>(0.000075393541456247525676062058821484095548666733251733L), tolerance);
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BOOST_CHECK_CLOSE(
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::boost::math::ibeta(
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static_cast<T>(4243) / 100,//(42.434902191162109L),
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static_cast<T>(3001) / 10000, //(0.30012050271034241L),
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static_cast<T>(9157) / 10000), //(0.91574394702911377L)),
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static_cast<T>(0.0028387319012616013434124297160711532419664289474798L), tolerance);
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BOOST_CHECK_CLOSE(
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::boost::math::ibeta(
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static_cast<T>(9713) / 1000, //(9.7131776809692383L),
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static_cast<T>(9940) / 100, //(99.406852722167969L),
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static_cast<T>(8391) / 100000), //(0.083912998437881470L)),
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static_cast<T>(0.46116895440368248909937863372410093344466819447476L), tolerance);
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BOOST_CHECK_CLOSE(
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::boost::math::ibeta(
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static_cast<T>(72.5),
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static_cast<T>(1.125),
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static_cast<T>(0.75)),
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static_cast<T>(1.3423066982487051710597194786268004978931316494920e-9L), tolerance*3); // extra tolerance needed on linux X86EM64
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BOOST_CHECK_CLOSE(
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::boost::math::ibeta(
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static_cast<T>(4985)/1000, //(4.9854421615600586L),
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static_cast<T>(1066)/1000, //(1.0665277242660522L),
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static_cast<T>(7599)/10000), //(0.75997146964073181L)),
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static_cast<T>(0.27533431334486812211032939156910472371928659321347L), tolerance);
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BOOST_CHECK_CLOSE(
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::boost::math::ibeta(
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static_cast<T>(6813)/1000, //(6.8127136230468750L),
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static_cast<T>(1056)/1000, //(1.0562920570373535L),
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static_cast<T>(1741)/10000), //(0.17416560649871826L)),
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static_cast<T>(7.6736128722762245852815040810349072461658078840945e-6L), tolerance);
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BOOST_CHECK_CLOSE(
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::boost::math::ibeta(
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static_cast<T>(4898)/10000, //(0.48983201384544373L),
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static_cast<T>(2251)/10000, //(0.22512593865394592L),
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static_cast<T>(2003)/10000), //(0.20032680034637451L)),
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static_cast<T>(0.17089223868046209692215231702890838878342349377008L), tolerance);
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BOOST_CHECK_CLOSE(
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::boost::math::ibeta(
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static_cast<T>(4049)/1000, //(4.0498137474060059L),
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static_cast<T>(1540)/10000, //(0.15403440594673157L),
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static_cast<T>(6537)/10000), //(0.65370121598243713L)),
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static_cast<T>(0.017273988301528087878279199511703371301647583919670L), tolerance);
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BOOST_CHECK_CLOSE(
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::boost::math::ibeta(
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static_cast<T>(7269)/1000, //(7.2695474624633789L),
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static_cast<T>(1190)/10000, //(0.11902070045471191L),
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static_cast<T>(8003)/10000), //(0.80036874115467072L)),
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static_cast<T>(0.013334694467796052900138431733772122625376753696347L), tolerance);
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BOOST_CHECK_CLOSE(
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::boost::math::ibeta(
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static_cast<T>(2726)/1000, //(2.7266697883605957L),
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static_cast<T>(1151)/100000, //(0.011510574258863926L),
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static_cast<T>(8665)/100000), //(0.086654007434844971L)),
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static_cast<T>(5.8218877068298586420691288375690562915515260230173e-6L), tolerance);
|
|
BOOST_CHECK_CLOSE(
|
|
::boost::math::ibeta(
|
|
static_cast<T>(3431)/10000, //(0.34317314624786377L),
|
|
static_cast<T>(4634)/100000, //0.046342257410287857L),
|
|
static_cast<T>(7582)/10000), //(0.75823287665843964L)),
|
|
static_cast<T>(0.15132819929418661038699397753916091907278005695387L), tolerance);
|
|
|
|
BOOST_CHECK_CLOSE(
|
|
::boost::math::ibeta(
|
|
static_cast<T>(0.34317314624786377L),
|
|
static_cast<T>(0.046342257410287857L),
|
|
static_cast<T>(0)),
|
|
static_cast<T>(0), tolerance);
|
|
BOOST_CHECK_CLOSE(
|
|
::boost::math::ibetac(
|
|
static_cast<T>(0.34317314624786377L),
|
|
static_cast<T>(0.046342257410287857L),
|
|
static_cast<T>(0)),
|
|
static_cast<T>(1), tolerance);
|
|
BOOST_CHECK_CLOSE(
|
|
::boost::math::ibeta(
|
|
static_cast<T>(0.34317314624786377L),
|
|
static_cast<T>(0.046342257410287857L),
|
|
static_cast<T>(1)),
|
|
static_cast<T>(1), tolerance);
|
|
BOOST_CHECK_CLOSE(
|
|
::boost::math::ibetac(
|
|
static_cast<T>(0.34317314624786377L),
|
|
static_cast<T>(0.046342257410287857L),
|
|
static_cast<T>(1)),
|
|
static_cast<T>(0), tolerance);
|
|
BOOST_CHECK_CLOSE(
|
|
::boost::math::ibeta(
|
|
static_cast<T>(1),
|
|
static_cast<T>(4634)/100000, //(0.046342257410287857L),
|
|
static_cast<T>(32)/100),
|
|
static_cast<T>(0.017712849440718489999419956301675684844663359595318L), tolerance);
|
|
BOOST_CHECK_CLOSE(
|
|
::boost::math::ibeta(
|
|
static_cast<T>(4634)/100000, //(0.046342257410287857L),
|
|
static_cast<T>(1),
|
|
static_cast<T>(32)/100),
|
|
static_cast<T>(0.94856839398626914764591440181367780660208493234722L), tolerance);
|
|
|
|
// try with some integer arguments:
|
|
BOOST_CHECK_CLOSE(
|
|
::boost::math::ibeta(
|
|
static_cast<T>(3),
|
|
static_cast<T>(8),
|
|
static_cast<T>(0.25)),
|
|
static_cast<T>(0.474407196044921875000000000000000000000000000000000000000000L), tolerance);
|
|
BOOST_CHECK_CLOSE(
|
|
::boost::math::ibeta(
|
|
static_cast<T>(6),
|
|
static_cast<T>(8),
|
|
static_cast<T>(0.25)),
|
|
static_cast<T>(0.0802125930786132812500000000000000000000000000000000000000000L), tolerance);
|
|
BOOST_CHECK_CLOSE(
|
|
::boost::math::ibeta(
|
|
static_cast<T>(12),
|
|
static_cast<T>(1),
|
|
static_cast<T>(0.25)),
|
|
static_cast<T>(5.96046447753906250000000000000000000000000000000000000000000e-8L), tolerance);
|
|
BOOST_CHECK_CLOSE(
|
|
::boost::math::ibeta(
|
|
static_cast<T>(1),
|
|
static_cast<T>(8),
|
|
static_cast<T>(0.25)),
|
|
static_cast<T>(0.899887084960937500000000000000000000000000000000000000000000L), tolerance);
|
|
|
|
// very naive check on derivative:
|
|
using namespace std; // For ADL of std functions
|
|
tolerance = boost::math::tools::epsilon<T>() * 10000; // 100 eps
|
|
BOOST_CHECK_CLOSE(
|
|
::boost::math::ibeta_derivative(
|
|
static_cast<T>(2),
|
|
static_cast<T>(3),
|
|
static_cast<T>(0.5)),
|
|
pow(static_cast<T>(0.5), static_cast<T>(2)) * pow(static_cast<T>(0.5), static_cast<T>(1)) / boost::math::beta(static_cast<T>(2), static_cast<T>(3)), tolerance);
|
|
}
|
|
|
|
int test_main(int, char* [])
|
|
{
|
|
expected_results();
|
|
#ifdef TEST_GSL
|
|
gsl_set_error_handler_off();
|
|
#endif
|
|
test_spots(0.0F);
|
|
test_spots(0.0);
|
|
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
|
|
test_spots(0.0L);
|
|
#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
|
|
test_spots(boost::math::concepts::real_concept(0.1));
|
|
#endif
|
|
#endif
|
|
|
|
#ifdef TEST_FLOAT
|
|
test_beta(0.1F, "float");
|
|
#endif
|
|
#ifdef TEST_DOUBLE
|
|
test_beta(0.1, "double");
|
|
#endif
|
|
#ifdef TEST_LDOUBLE
|
|
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
|
|
test_beta(0.1L, "long double");
|
|
#endif
|
|
#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
|
|
#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
|
|
#ifdef TEST_REAL_CONCEPT
|
|
test_beta(boost::math::concepts::real_concept(0.1), "real_concept");
|
|
#endif
|
|
#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::cout;
|
|
#endif
|
|
return 0;
|
|
}
|
|
|
|
|
|
|
|
|
|
|