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162 lines
6.9 KiB
C++
162 lines
6.9 KiB
C++
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// (C) Copyright John Maddock 2015.
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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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#define BOOST_TEST_MAIN
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#include <boost/test/unit_test.hpp>
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#include <boost/test/floating_point_comparison.hpp>
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#include <boost/math/special_functions/next.hpp>
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#include <boost/math/special_functions/ulp.hpp>
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#include <boost/math/special_functions/relative_difference.hpp>
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#include <iostream>
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#include <iomanip>
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template <class T>
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void test_value(const T& val, const char* name)
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{
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using namespace boost::math;
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using std::fabs;
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T next = float_next(val);
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T prev = float_prior(val);
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if((boost::math::isinf)(next))
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{
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BOOST_CHECK_EQUAL(relative_difference(val, next), tools::max_value<T>());
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return;
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}
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if((boost::math::isinf)(prev))
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{
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BOOST_CHECK_EQUAL(relative_difference(val, prev), tools::max_value<T>());
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return;
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}
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BOOST_CHECK_EQUAL(relative_difference(val, next), relative_difference(next, val));
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BOOST_CHECK_EQUAL(epsilon_difference(val, next), epsilon_difference(next, val));
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BOOST_CHECK_LE(relative_difference(val, next), boost::math::tools::epsilon<T>());
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BOOST_CHECK_LE(epsilon_difference(val, next), T(1));
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if((fabs(val) > tools::min_value<T>()) || (fabs(next) > tools::min_value<T>()))
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{
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BOOST_CHECK_GT(relative_difference(val, next), T(0));
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BOOST_CHECK_GT(epsilon_difference(val, next), T(0));
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}
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else
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{
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BOOST_CHECK_EQUAL(relative_difference(val, next), T(0));
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BOOST_CHECK_EQUAL(epsilon_difference(val, next), T(0));
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}
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BOOST_CHECK_EQUAL(relative_difference(val, prev), relative_difference(prev, val));
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BOOST_CHECK_EQUAL(epsilon_difference(val, prev), epsilon_difference(prev, val));
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if((fabs(val) > tools::min_value<T>()) || (fabs(prev) > tools::min_value<T>()))
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{
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BOOST_CHECK_GT(relative_difference(val, prev), T(0));
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BOOST_CHECK_GT(epsilon_difference(val, prev), T(0));
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}
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else
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{
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BOOST_CHECK_EQUAL(relative_difference(val, prev), T(0));
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BOOST_CHECK_EQUAL(epsilon_difference(val, prev), T(0));
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}
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}
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template <class T>
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void test_values(const T& val, const char* name)
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{
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static const T a = static_cast<T>(1.3456724e22);
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static const T b = static_cast<T>(1.3456724e-22);
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static const T z = 0;
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static const T one = 1;
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static const T two = 2;
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std::cout << "Testing type " << name << std::endl;
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T den = (std::numeric_limits<T>::min)() / 4;
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if(den != 0)
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{
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std::cout << "Denormals are active\n";
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}
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else
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{
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std::cout << "Denormals are flushed to zero.\n";
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}
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test_value(a, name);
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test_value(-a, name);
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test_value(b, name);
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test_value(-b, name);
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test_value(boost::math::tools::epsilon<T>(), name);
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test_value(-boost::math::tools::epsilon<T>(), name);
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test_value(boost::math::tools::min_value<T>(), name);
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test_value(-boost::math::tools::min_value<T>(), name);
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if (std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::has_denorm == std::denorm_present) && ((std::numeric_limits<T>::min)() / 2 != 0))
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{
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test_value(z, name);
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test_value(-z, name);
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}
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test_value(one, name);
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test_value(-one, name);
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test_value(two, name);
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test_value(-two, name);
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static const int primes[] = {
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11, 13, 17, 19, 23, 29,
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31, 37, 41, 43, 47, 53, 59, 61, 67, 71,
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73, 79, 83, 89, 97, 101, 103, 107, 109, 113,
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127, 131, 137, 139, 149, 151, 157, 163, 167, 173,
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179, 181, 191, 193, 197, 199, 211, 223, 227, 229,
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233, 239, 241, 251, 257, 263, 269, 271, 277, 281,
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283, 293, 307, 311, 313, 317, 331, 337, 347, 349,
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353, 359, 367, 373, 379, 383, 389, 397, 401, 409,
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419, 421, 431, 433, 439, 443, 449, 457, 461, 463,
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};
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for(unsigned i = 0; i < sizeof(primes) / sizeof(primes[0]); ++i)
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{
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for(unsigned j = 0; j < sizeof(primes) / sizeof(primes[0]); ++j)
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{
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test_value(T(primes[i]) / T(primes[j]), name);
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test_value(-T(primes[i]) / T(primes[j]), name);
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}
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}
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using namespace boost::math;
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BOOST_CHECK_EQUAL(relative_difference(tools::min_value<T>(), -tools::min_value<T>()), tools::max_value<T>());
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BOOST_CHECK_EQUAL(epsilon_difference(tools::min_value<T>(), -tools::min_value<T>()), tools::max_value<T>());
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if(std::numeric_limits<T>::has_infinity)
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{
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BOOST_CHECK_EQUAL(relative_difference(std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity()), T(0));
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BOOST_CHECK_EQUAL(epsilon_difference(std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity()), T(0));
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BOOST_CHECK_EQUAL(relative_difference(std::numeric_limits<T>::infinity(), tools::max_value<T>()), tools::max_value<T>());
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BOOST_CHECK_EQUAL(epsilon_difference(std::numeric_limits<T>::infinity(), tools::max_value<T>()), tools::max_value<T>());
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BOOST_CHECK_EQUAL(relative_difference(std::numeric_limits<T>::infinity(), tools::max_value<T>() / 2), tools::max_value<T>());
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BOOST_CHECK_EQUAL(epsilon_difference(std::numeric_limits<T>::infinity(), tools::max_value<T>() / 2), tools::max_value<T>());
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BOOST_CHECK_EQUAL(relative_difference(tools::max_value<T>(), std::numeric_limits<T>::infinity()), tools::max_value<T>());
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BOOST_CHECK_EQUAL(epsilon_difference(tools::max_value<T>(), std::numeric_limits<T>::infinity()), tools::max_value<T>());
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BOOST_CHECK_EQUAL(relative_difference(tools::max_value<T>() / 2, std::numeric_limits<T>::infinity()), tools::max_value<T>());
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BOOST_CHECK_EQUAL(epsilon_difference(tools::max_value<T>() / 2, std::numeric_limits<T>::infinity()), tools::max_value<T>());
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}
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if(std::numeric_limits<T>::has_quiet_NaN)
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{
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BOOST_CHECK_EQUAL(relative_difference(std::numeric_limits<T>::quiet_NaN(), std::numeric_limits<T>::quiet_NaN()), tools::max_value<T>());
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BOOST_CHECK_EQUAL(epsilon_difference(std::numeric_limits<T>::quiet_NaN(), std::numeric_limits<T>::quiet_NaN()), tools::max_value<T>());
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BOOST_CHECK_EQUAL(relative_difference(std::numeric_limits<T>::quiet_NaN(), T(2)), tools::max_value<T>());
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BOOST_CHECK_EQUAL(epsilon_difference(std::numeric_limits<T>::quiet_NaN(), T(2)), tools::max_value<T>());
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BOOST_CHECK_EQUAL(relative_difference(T(2), std::numeric_limits<T>::quiet_NaN()), tools::max_value<T>());
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BOOST_CHECK_EQUAL(epsilon_difference(T(2), std::numeric_limits<T>::quiet_NaN()), tools::max_value<T>());
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}
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}
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BOOST_AUTO_TEST_CASE( test_main )
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{
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test_values(1.0f, "float");
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test_values(1.0, "double");
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#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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test_values(1.0L, "long double");
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test_values(boost::math::concepts::real_concept(0), "real_concept");
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#endif
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}
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