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// (C) Copyright John Maddock 2005.
// 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)
#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
#include <boost/math/concepts/real_concept.hpp>
#include <boost/test/included/test_exec_monitor.hpp>
#include <boost/test/floating_point_comparison.hpp>
#include <boost/math/special_functions/log1p.hpp>
#include <boost/math/special_functions/expm1.hpp>
#include <boost/array.hpp>
#include "functor.hpp"
#include "handle_test_result.hpp"
//
// DESCRIPTION:
// ~~~~~~~~~~~~
//
// This file tests the functions log1p and expm1. 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.
//
//
// Catch all cases come last:
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", // test function
4, // Max Peek error
3); // Max mean error
//
// 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 do_test(const T& data, const char* type_name, const char* test_name)
{
typedef typename T::value_type row_type;
typedef typename row_type::value_type value_type;
typedef value_type (*pg)(value_type);
#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
pg funcp = &boost::math::log1p<value_type>;
#else
pg funcp = &boost::math::log1p;
#endif
boost::math::tools::test_result<value_type> result;
std::cout << "Testing " << test_name << " with type " << type_name
<< "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
//
// test log1p against data:
//
#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
funcp = boost::math::log1p<value_type>;
#else
funcp = &boost::math::log1p;
#endif
result = boost::math::tools::test(
data,
bind_func(funcp, 0),
extract_result(1));
handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::log1p", "log1p and expm1");
std::cout << std::endl;
//
// test expm1 against data:
//
#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
funcp = boost::math::expm1<value_type>;
#else
funcp = boost::math::expm1;
#endif
result = boost::math::tools::test(
data,
bind_func(funcp, 0),
extract_result(2));
handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::expm1", "log1p and expm1");
std::cout << std::endl;
}
template <class T>
void test(T, const char* type_name)
{
# include "log1p_expm1_data.ipp"
do_test(log1p_expm1_data, type_name, "expm1 and log1p");
//
// C99 Appendix F special cases:
static const T zero = 0;
static const T m_one = -1;
BOOST_CHECK_EQUAL(boost::math::log1p(zero), zero);
BOOST_CHECK_EQUAL(boost::math::log1p(-zero), zero);
BOOST_CHECK_EQUAL(boost::math::expm1(zero), zero);
if(std::numeric_limits<T>::has_infinity)
{
BOOST_CHECK_EQUAL(boost::math::log1p(m_one), -std::numeric_limits<T>::infinity());
BOOST_CHECK_EQUAL(boost::math::expm1(-std::numeric_limits<T>::infinity()), m_one);
BOOST_CHECK_EQUAL(boost::math::expm1(std::numeric_limits<T>::infinity()), std::numeric_limits<T>::infinity());
}
}
int test_main(int, char* [])
{
expected_results();
BOOST_MATH_CONTROL_FP;
test(float(0), "float");
test(double(0), "double");
//
// The long double version of these tests fails on some platforms
// due to poor std lib support (not enough digits returned from
// std::log and std::exp):
//
#if !defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
test((long double)(0), "long double");
#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
test((boost::math::concepts::real_concept)(0), "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::cout;
#endif
return 0;
}
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