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math/test/test_ibeta.cpp
John Maddock 381bddafa0 Finish moving test cases into headers.
Fix array declarations so GCC doesn't warn about them.
Declare constants in headers so they can be used by UDT's larger than type long double.
Suppress a few warnings and fix a couple of bugs that showed up when testing with UDT's.

[SVN r75960]
2011-12-15 11:23:35 +00:00

326 lines
12 KiB
C++

// (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.hpp>
#include "test_ibeta.hpp"
#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
# define TEST_FLOAT
# define TEST_DOUBLE
# define TEST_LDOUBLE
# define TEST_REAL_CONCEPT
#endif
//
// DESCRIPTION:
// ~~~~~~~~~~~~
//
// This file tests the incomplete beta functions beta,
// betac, ibeta and ibetac. 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
//
// Darwin: just one special case for real_concept:
//
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"Mac OS", // platform
"real_concept", // test type(s)
"(?i).*large.*", // test data group
".*", 400000, 50000); // test function
//
// Linux - results depend quite a bit on the
// processor type, and how good the std::pow
// function is for that processor.
//
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"linux", // platform
largest_type, // test type(s)
"(?i).*small.*", // test data group
".*", 350, 100); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"linux", // platform
largest_type, // test type(s)
"(?i).*medium.*", // test data group
".*", 300, 80); // test function
//
// Deficiencies in pow function really kick in here for
// large arguments. Note also that the tests here get
// *very* extreme due to the increased exponent range
// of 80-bit long doubles. Also effect Mac OS.
//
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"linux|Mac OS", // platform
largest_type, // test type(s)
"(?i).*large.*", // test data group
".*", 200000, 10000); // test function
#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"linux|Mac OS|Sun.*", // platform
"double", // test type(s)
"(?i).*large.*", // test data group
".*", 40, 20); // test function
#endif
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"linux|Mac OS", // platform
"real_concept", // test type(s)
"(?i).*medium.*", // test data group
".*", 350, 100); // test function
//
// HP-UX:
//
// Large value tests include some with *very* extreme
// results, thanks to the large exponent range of
// 128-bit long doubles.
//
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"HP-UX", // platform
largest_type, // test type(s)
"(?i).*large.*", // test data group
".*", 200000, 10000); // test function
//
// Tru64:
//
add_expected_result(
".*Tru64.*", // compiler
".*", // stdlib
".*", // platform
largest_type, // test type(s)
"(?i).*large.*", // test data group
".*", 130000, 10000); // test function
//
// Sun OS:
//
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"Sun.*", // platform
largest_type, // test type(s)
"(?i).*large.*", // test data group
".*", 130000, 10000); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"Sun.*", // platform
largest_type, // test type(s)
"(?i).*small.*", // test data group
".*", 130, 30); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"Sun.*", // platform
largest_type, // test type(s)
"(?i).*medium.*", // test data group
".*", 200, 40); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"Sun.*", // platform
"real_concept", // test type(s)
"(?i).*medium.*", // test data group
".*", 200, 40); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"Sun.*", // platform
"real_concept", // test type(s)
"(?i).*small.*", // test data group
".*", 130, 30); // test function
//
// MinGW:
//
add_expected_result(
"[^|]*mingw[^|]*", // compiler
"[^|]*", // stdlib
".*", // platform
"double", // test type(s)
"(?i).*large.*", // test data group
".*", 20, 10); // test function
add_expected_result(
"[^|]*mingw[^|]*", // compiler
"[^|]*", // stdlib
".*", // platform
largest_type, // test type(s)
"(?i).*large.*", // test data group
".*", 200000, 10000); // test function
#ifdef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
//
// No long doubles:
//
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
BOOST_PLATFORM, // platform
largest_type, // test type(s)
"(?i).*large.*", // test data group
".*", 13000, 500); // test function
#endif
//
// Catch all cases come last:
//
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"[^|]*", // platform
largest_type, // test type(s)
"(?i).*small.*", // test data group
".*", 90, 25); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"[^|]*", // platform
largest_type, // test type(s)
"(?i).*medium.*", // test data group
".*", 150, 50); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"[^|]*", // platform
largest_type, // test type(s)
"(?i).*large.*", // test data group
".*", 5000, 500); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"[^|]*", // platform
"real_concept", // test type(s)
"(?i).*small.*", // test data group
".*", 90, 25); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"[^|]*", // platform
"real_concept", // test type(s)
"(?i).*medium.*", // test data group
".*", 200, 50); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"[^|]*", // platform
"real_concept", // test type(s)
"(?i).*large.*", // test data group
".*", 200000, 50000); // test function
// catch all default is 2eps for all types:
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"[^|]*", // platform
"[^|]*", // test type(s)
"[^|]*", // test data group
".*", 2, 2); // 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;
}
int test_main(int, char* [])
{
expected_results();
BOOST_MATH_CONTROL_FP;
#ifdef TEST_GSL
gsl_set_error_handler_off();
#endif
#ifdef TEST_FLOAT
test_spots(0.0F);
#endif
#ifdef TEST_DOUBLE
test_spots(0.0);
#endif
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
#ifdef TEST_LDOUBLE
test_spots(0.0L);
#endif
#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
#ifdef TEST_REAL_CONCEPT
test_spots(boost::math::concepts::real_concept(0.1));
#endif
#endif
#endif
#ifdef TEST_FLOAT
test_beta(0.1F, "float");
#endif
#ifdef TEST_DOUBLE
test_beta(0.1, "double");
#endif
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
#ifdef TEST_LDOUBLE
test_beta(0.1L, "long double");
#endif
#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
#ifdef TEST_REAL_CONCEPT
test_beta(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::cout;
#endif
return 0;
}