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