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Diffstat (limited to 'src/boost/libs/math/test/test_difference.cpp')
| -rw-r--r-- | src/boost/libs/math/test/test_difference.cpp | 161 |
1 files changed, 161 insertions, 0 deletions
diff --git a/src/boost/libs/math/test/test_difference.cpp b/src/boost/libs/math/test/test_difference.cpp new file mode 100644 index 00000000..b64f2835 --- /dev/null +++ b/src/boost/libs/math/test/test_difference.cpp @@ -0,0 +1,161 @@ +// (C) Copyright John Maddock 2015. +// 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 <boost/math/concepts/real_concept.hpp> +#define BOOST_TEST_MAIN +#include <boost/test/unit_test.hpp> +#include <boost/test/tools/floating_point_comparison.hpp> +#include <boost/math/special_functions/next.hpp> +#include <boost/math/special_functions/ulp.hpp> +#include <boost/math/special_functions/relative_difference.hpp> +#include <iostream> +#include <iomanip> + +template <class T> +void test_value(const T& val, const char* name) +{ + using namespace boost::math; + using std::fabs; + T next = float_next(val); + T prev = float_prior(val); + + if((boost::math::isinf)(next)) + { + BOOST_CHECK_EQUAL(relative_difference(val, next), tools::max_value<T>()); + return; + } + if((boost::math::isinf)(prev)) + { + BOOST_CHECK_EQUAL(relative_difference(val, prev), tools::max_value<T>()); + return; + } + + BOOST_CHECK_EQUAL(relative_difference(val, next), relative_difference(next, val)); + BOOST_CHECK_EQUAL(epsilon_difference(val, next), epsilon_difference(next, val)); + BOOST_CHECK_LE(relative_difference(val, next), boost::math::tools::epsilon<T>()); + BOOST_CHECK_LE(epsilon_difference(val, next), T(1)); + if((fabs(val) > tools::min_value<T>()) || (fabs(next) > tools::min_value<T>())) + { + BOOST_CHECK_GT(relative_difference(val, next), T(0)); + BOOST_CHECK_GT(epsilon_difference(val, next), T(0)); + } + else + { + BOOST_CHECK_EQUAL(relative_difference(val, next), T(0)); + BOOST_CHECK_EQUAL(epsilon_difference(val, next), T(0)); + } + + BOOST_CHECK_EQUAL(relative_difference(val, prev), relative_difference(prev, val)); + BOOST_CHECK_EQUAL(epsilon_difference(val, prev), epsilon_difference(prev, val)); + if((fabs(val) > tools::min_value<T>()) || (fabs(prev) > tools::min_value<T>())) + { + BOOST_CHECK_GT(relative_difference(val, prev), T(0)); + BOOST_CHECK_GT(epsilon_difference(val, prev), T(0)); + } + else + { + BOOST_CHECK_EQUAL(relative_difference(val, prev), T(0)); + BOOST_CHECK_EQUAL(epsilon_difference(val, prev), T(0)); + } +} + +template <class T> +void test_values(const T& val, const char* name) +{ + static const T a = static_cast<T>(1.3456724e22); + static const T b = static_cast<T>(1.3456724e-22); + static const T z = 0; + static const T one = 1; + static const T two = 2; + + std::cout << "Testing type " << name << std::endl; + + T den = (std::numeric_limits<T>::min)() / 4; + if(den != 0) + { + std::cout << "Denormals are active\n"; + } + else + { + std::cout << "Denormals are flushed to zero.\n"; + } + + test_value(a, name); + test_value(-a, name); + test_value(b, name); + test_value(-b, name); + test_value(boost::math::tools::epsilon<T>(), name); + test_value(-boost::math::tools::epsilon<T>(), name); + test_value(boost::math::tools::min_value<T>(), name); + test_value(-boost::math::tools::min_value<T>(), name); + if (std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::has_denorm == std::denorm_present) && ((std::numeric_limits<T>::min)() / 2 != 0)) + { + test_value(z, name); + test_value(-z, name); + } + test_value(one, name); + test_value(-one, name); + test_value(two, name); + test_value(-two, name); + + static const int primes[] = { + 11, 13, 17, 19, 23, 29, + 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, + 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, + 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, + 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, + 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, + 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, + 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, + 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, + }; + + for(unsigned i = 0; i < sizeof(primes) / sizeof(primes[0]); ++i) + { + for(unsigned j = 0; j < sizeof(primes) / sizeof(primes[0]); ++j) + { + test_value(T(primes[i]) / T(primes[j]), name); + test_value(-T(primes[i]) / T(primes[j]), name); + } + } + using namespace boost::math; + BOOST_CHECK_EQUAL(relative_difference(tools::min_value<T>(), -tools::min_value<T>()), tools::max_value<T>()); + BOOST_CHECK_EQUAL(epsilon_difference(tools::min_value<T>(), -tools::min_value<T>()), tools::max_value<T>()); + if(std::numeric_limits<T>::has_infinity) + { + BOOST_CHECK_EQUAL(relative_difference(std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity()), T(0)); + BOOST_CHECK_EQUAL(epsilon_difference(std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity()), T(0)); + BOOST_CHECK_EQUAL(relative_difference(std::numeric_limits<T>::infinity(), tools::max_value<T>()), tools::max_value<T>()); + BOOST_CHECK_EQUAL(epsilon_difference(std::numeric_limits<T>::infinity(), tools::max_value<T>()), tools::max_value<T>()); + BOOST_CHECK_EQUAL(relative_difference(std::numeric_limits<T>::infinity(), tools::max_value<T>() / 2), tools::max_value<T>()); + BOOST_CHECK_EQUAL(epsilon_difference(std::numeric_limits<T>::infinity(), tools::max_value<T>() / 2), tools::max_value<T>()); + BOOST_CHECK_EQUAL(relative_difference(tools::max_value<T>(), std::numeric_limits<T>::infinity()), tools::max_value<T>()); + BOOST_CHECK_EQUAL(epsilon_difference(tools::max_value<T>(), std::numeric_limits<T>::infinity()), tools::max_value<T>()); + BOOST_CHECK_EQUAL(relative_difference(tools::max_value<T>() / 2, std::numeric_limits<T>::infinity()), tools::max_value<T>()); + BOOST_CHECK_EQUAL(epsilon_difference(tools::max_value<T>() / 2, std::numeric_limits<T>::infinity()), tools::max_value<T>()); + } + if(std::numeric_limits<T>::has_quiet_NaN) + { + BOOST_CHECK_EQUAL(relative_difference(std::numeric_limits<T>::quiet_NaN(), std::numeric_limits<T>::quiet_NaN()), tools::max_value<T>()); + BOOST_CHECK_EQUAL(epsilon_difference(std::numeric_limits<T>::quiet_NaN(), std::numeric_limits<T>::quiet_NaN()), tools::max_value<T>()); + BOOST_CHECK_EQUAL(relative_difference(std::numeric_limits<T>::quiet_NaN(), T(2)), tools::max_value<T>()); + BOOST_CHECK_EQUAL(epsilon_difference(std::numeric_limits<T>::quiet_NaN(), T(2)), tools::max_value<T>()); + BOOST_CHECK_EQUAL(relative_difference(T(2), std::numeric_limits<T>::quiet_NaN()), tools::max_value<T>()); + BOOST_CHECK_EQUAL(epsilon_difference(T(2), std::numeric_limits<T>::quiet_NaN()), tools::max_value<T>()); + } + +} + +BOOST_AUTO_TEST_CASE( test_main ) +{ + test_values(1.0f, "float"); + test_values(1.0, "double"); +#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS + test_values(1.0L, "long double"); + test_values(boost::math::concepts::real_concept(0), "real_concept"); +#endif +} + + |