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- // (C) Copyright John Maddock 2008.
- // 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 <boost/math/concepts/real_concept.hpp>
- #include <boost/math/tools/test.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/multiprecision/cpp_bin_float.hpp>
- #include <iostream>
- #include <iomanip>
- #ifdef BOOST_MSVC
- #pragma warning(disable:4127)
- #endif
- #if !defined(_CRAYC) && !defined(__CUDACC__) && (!defined(__GNUC__) || (__GNUC__ > 3) || ((__GNUC__ == 3) && (__GNUC_MINOR__ > 3)))
- #if (defined(_M_IX86_FP) && (_M_IX86_FP >= 2)) || defined(__SSE2__) || defined(TEST_SSE2)
- #include <float.h>
- #include "xmmintrin.h"
- #define TEST_SSE2
- #endif
- #endif
- template <class T>
- void test_value(const T& val, const char* name)
- {
- using namespace boost::math;
- T upper = tools::max_value<T>();
- T lower = -upper;
- std::cout << "Testing type " << name << " with initial value " << val << std::endl;
- BOOST_CHECK_EQUAL(float_distance(float_next(val), val), -1);
- BOOST_CHECK(float_next(val) > val);
- BOOST_CHECK_EQUAL(float_distance(float_prior(val), val), 1);
- BOOST_CHECK(float_prior(val) < val);
- BOOST_CHECK_EQUAL(float_distance((boost::math::nextafter)(val, upper), val), -1);
- BOOST_CHECK((boost::math::nextafter)(val, upper) > val);
- BOOST_CHECK_EQUAL(float_distance((boost::math::nextafter)(val, lower), val), 1);
- BOOST_CHECK((boost::math::nextafter)(val, lower) < val);
- BOOST_CHECK_EQUAL(float_distance(float_next(float_next(val)), val), -2);
- BOOST_CHECK_EQUAL(float_distance(float_prior(float_prior(val)), val), 2);
- BOOST_CHECK_EQUAL(float_distance(float_prior(float_prior(val)), float_next(float_next(val))), 4);
- BOOST_CHECK_EQUAL(float_distance(float_prior(float_next(val)), val), 0);
- BOOST_CHECK_EQUAL(float_distance(float_next(float_prior(val)), val), 0);
- BOOST_CHECK_EQUAL(float_prior(float_next(val)), val);
- BOOST_CHECK_EQUAL(float_next(float_prior(val)), val);
- BOOST_CHECK_EQUAL(float_distance(float_advance(val, 4), val), -4);
- BOOST_CHECK_EQUAL(float_distance(float_advance(val, -4), val), 4);
- if(std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::has_denorm == std::denorm_present))
- {
- BOOST_CHECK_EQUAL(float_distance(float_advance(float_next(float_next(val)), 4), float_next(float_next(val))), -4);
- BOOST_CHECK_EQUAL(float_distance(float_advance(float_next(float_next(val)), -4), float_next(float_next(val))), 4);
- }
- if(val > 0)
- {
- T n = val + ulp(val);
- T fn = float_next(val);
- if(n > fn)
- {
- BOOST_CHECK_LE(ulp(val), boost::math::tools::min_value<T>());
- }
- else
- {
- BOOST_CHECK_EQUAL(fn, n);
- }
- }
- else if(val == 0)
- {
- BOOST_CHECK_GE(boost::math::tools::min_value<T>(), ulp(val));
- }
- else
- {
- T n = val - ulp(val);
- T fp = float_prior(val);
- if(n < fp)
- {
- BOOST_CHECK_LE(ulp(val), boost::math::tools::min_value<T>());
- }
- else
- {
- BOOST_CHECK_EQUAL(fp, n);
- }
- }
- }
- 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);
- #if defined(TEST_SSE2)
- if((_mm_getcsr() & (_MM_FLUSH_ZERO_ON | 0x40)) == 0)
- {
- #endif
- 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(std::numeric_limits<T>::denorm_min(), name);
- test_value(-std::numeric_limits<T>::denorm_min(), name);
- test_value(2 * std::numeric_limits<T>::denorm_min(), name);
- test_value(-2 * std::numeric_limits<T>::denorm_min(), name);
- }
- #if defined(TEST_SSE2)
- }
- #endif
- 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)
- {
- T v1 = val;
- T v2 = val;
- for(int j = 0; j < primes[i]; ++j)
- {
- v1 = boost::math::float_next(v1);
- v2 = boost::math::float_prior(v2);
- }
- BOOST_CHECK_EQUAL(boost::math::float_distance(v1, val), -primes[i]);
- BOOST_CHECK_EQUAL(boost::math::float_distance(v2, val), primes[i]);
- BOOST_CHECK_EQUAL(boost::math::float_advance(val, primes[i]), v1);
- BOOST_CHECK_EQUAL(boost::math::float_advance(val, -primes[i]), v2);
- }
- if(std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::has_infinity))
- {
- BOOST_CHECK_EQUAL(boost::math::float_prior(std::numeric_limits<T>::infinity()), (std::numeric_limits<T>::max)());
- BOOST_CHECK_EQUAL(boost::math::float_next(-std::numeric_limits<T>::infinity()), -(std::numeric_limits<T>::max)());
- BOOST_MATH_CHECK_THROW(boost::math::float_prior(-std::numeric_limits<T>::infinity()), std::domain_error);
- BOOST_MATH_CHECK_THROW(boost::math::float_next(std::numeric_limits<T>::infinity()), std::domain_error);
- if(boost::math::policies:: BOOST_MATH_OVERFLOW_ERROR_POLICY == boost::math::policies::throw_on_error)
- {
- BOOST_MATH_CHECK_THROW(boost::math::float_prior(-(std::numeric_limits<T>::max)()), std::overflow_error);
- BOOST_MATH_CHECK_THROW(boost::math::float_next((std::numeric_limits<T>::max)()), std::overflow_error);
- }
- else
- {
- BOOST_CHECK_EQUAL(boost::math::float_prior(-(std::numeric_limits<T>::max)()), -std::numeric_limits<T>::infinity());
- BOOST_CHECK_EQUAL(boost::math::float_next((std::numeric_limits<T>::max)()), std::numeric_limits<T>::infinity());
- }
- }
- //
- // We need to test float_distance over mulyiple orders of magnitude,
- // the only way to get an accurate true result is to count the representations
- // between the two end points, but we can only really do this for type float:
- //
- if (std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::digits < 30) && (std::numeric_limits<T>::radix == 2))
- {
- T left, right, dist, fresult;
- boost::uintmax_t result;
- left = static_cast<T>(0.1);
- right = left * static_cast<T>(4.2);
- dist = boost::math::float_distance(left, right);
- // We have to use a wider integer type for the accurate count, since there
- // aren't enough bits in T to get a true result if the values differ
- // by more than a factor of 2:
- result = 0;
- for (; left != right; ++result, left = boost::math::float_next(left));
- fresult = static_cast<T>(result);
- BOOST_CHECK_EQUAL(fresult, dist);
- left = static_cast<T>(-0.1);
- right = left * static_cast<T>(4.2);
- dist = boost::math::float_distance(right, left);
- result = 0;
- for (; left != right; ++result, left = boost::math::float_prior(left));
- fresult = static_cast<T>(result);
- BOOST_CHECK_EQUAL(fresult, dist);
- left = static_cast<T>(-1.1) * (std::numeric_limits<T>::min)();
- right = static_cast<T>(-4.1) * left;
- dist = boost::math::float_distance(left, right);
- result = 0;
- for (; left != right; ++result, left = boost::math::float_next(left));
- fresult = static_cast<T>(result);
- BOOST_CHECK_EQUAL(fresult, dist);
- }
- }
- 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
- //
- // Test some multiprecision types:
- //
- test_values(boost::multiprecision::cpp_bin_float_quad(0), "cpp_bin_float_quad");
- // This is way to slow to test routinely:
- //test_values(boost::multiprecision::cpp_bin_float_single(0), "cpp_bin_float_single");
- test_values(boost::multiprecision::cpp_bin_float_50(0), "cpp_bin_float_50");
- #if defined(TEST_SSE2)
- int mmx_flags = _mm_getcsr(); // We'll restore these later.
- #ifdef _WIN32
- // These tests fail pretty badly on Linux x64, especially with Intel-12.1
- _MM_SET_FLUSH_ZERO_MODE(_MM_FLUSH_ZERO_ON);
- std::cout << "Testing again with Flush-To-Zero set" << std::endl;
- std::cout << "SSE2 control word is: " << std::hex << _mm_getcsr() << std::endl;
- test_values(1.0f, "float");
- test_values(1.0, "double");
- _MM_SET_FLUSH_ZERO_MODE(_MM_FLUSH_ZERO_OFF);
- #endif
- BOOST_ASSERT((_mm_getcsr() & 0x40) == 0);
- _mm_setcsr(_mm_getcsr() | 0x40);
- std::cout << "Testing again with Denormals-Are-Zero set" << std::endl;
- std::cout << "SSE2 control word is: " << std::hex << _mm_getcsr() << std::endl;
- test_values(1.0f, "float");
- test_values(1.0, "double");
- // Restore the MMX flags:
- _mm_setcsr(mmx_flags);
- #endif
-
- }
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