273 lines
9.6 KiB
C++
273 lines
9.6 KiB
C++
///////////////////////////////////////////////////////////////
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// Copyright 2012 John Maddock. Distributed under the Boost
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// Software License, Version 1.0. (See accompanying file
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// LICENSE_1_0.txt or copy at https://www.boost.org/LICENSE_1_0.txt
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//
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#ifdef _MSC_VER
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#define _SCL_SECURE_NO_WARNINGS
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#endif
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#include <boost/detail/lightweight_test.hpp>
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#include <array>
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#include "test.hpp"
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#include <boost/multiprecision/cpp_int.hpp>
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#include <boost/multiprecision/cpp_bin_float.hpp>
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#include <boost/random/mersenne_twister.hpp>
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#include <boost/random/uniform_int.hpp>
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#include <cstdint>
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template <class T>
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T generate_random()
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{
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typedef int e_type;
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static boost::random::mt19937 gen;
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T val = gen();
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T prev_val = -1;
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while (val != prev_val)
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{
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val *= (gen.max)();
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prev_val = val;
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val += gen();
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}
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e_type e;
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val = frexp(val, &e);
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static boost::random::uniform_int_distribution<e_type> ui(-20, 20);
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return ldexp(val, ui(gen));
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}
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template <class T>
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void check_round(const T& val, bool check_extended = false)
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{
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double d1 = val.template convert_to<double>();
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double d2 = boost::math::nextafter(d1, d1 < val ? DBL_MAX : -DBL_MAX);
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T diff1 = abs(d1 - val);
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T diff2 = abs(d2 - val);
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if (diff2 < diff1)
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{
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// Some debugging code here...
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std::cout << val.str() << std::endl;
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std::cout << std::setprecision(18);
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std::cout << d1 << std::endl;
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std::cout << d2 << std::endl;
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std::cout << diff1 << std::endl;
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std::cout << diff2 << std::endl;
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d1 = val.template convert_to<double>();
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}
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BOOST_CHECK(diff2 >= diff1);
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BOOST_CHECK_EQUAL(boost::math::signbit(val), boost::math::signbit(d1));
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float f1 = val.template convert_to<float>();
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float f2 = boost::math::nextafter(f1, f1 < val ? FLT_MAX : -FLT_MAX);
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BOOST_CHECK(((abs(f1 - val) <= abs(f2 - val))));
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BOOST_CHECK_EQUAL(boost::math::signbit(val), boost::math::signbit(f1));
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#if !defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
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if (check_extended)
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{
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//
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// We should check long double as well:
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//
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long double l1 = val.template convert_to<long double>();
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long double l2 = boost::math::nextafter(d1, d1 < val ? LDBL_MAX : -LDBL_MAX);
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diff1 = abs(l1 - val);
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diff2 = abs(l2 - val);
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if (diff2 < diff1)
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{
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// Some debugging code here...
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std::cout << val.str() << std::endl;
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std::cout << std::setprecision(18);
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std::cout << l1 << std::endl;
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std::cout << l2 << std::endl;
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std::cout << diff1 << std::endl;
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std::cout << diff2 << std::endl;
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l1 = val.template convert_to<long double>();
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}
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BOOST_CHECK(diff2 >= diff1);
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BOOST_CHECK_EQUAL(boost::math::signbit(val), boost::math::signbit(l1));
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}
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#endif
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}
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int main()
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{
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using namespace boost::multiprecision;
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cpp_int i(20);
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cpp_bin_float_50 f50(i);
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BOOST_CHECK_EQUAL(f50, 20);
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f50 = i.convert_to<cpp_bin_float_50>();
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BOOST_CHECK_EQUAL(f50, 20);
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int1024_t i1024(45);
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cpp_bin_float_100 f100(i1024);
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BOOST_CHECK_EQUAL(f100, 45);
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f100 = i1024.convert_to<cpp_bin_float_100>();
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BOOST_CHECK_EQUAL(f100, 45);
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uint1024_t ui1024(55);
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cpp_bin_float_100 f100b(ui1024);
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BOOST_CHECK_EQUAL(f100b, 55);
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f100b = ui1024.convert_to<cpp_bin_float_100>();
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BOOST_CHECK_EQUAL(f100b, 55);
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typedef number<cpp_int_backend<32, 32>, et_off> i32_t;
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i32_t i32(67);
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cpp_bin_float_100 f100c(i32);
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BOOST_CHECK_EQUAL(f100c, 67);
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f100c = i32.convert_to<cpp_bin_float_100>();
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BOOST_CHECK_EQUAL(f100c, 67);
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typedef number<cpp_int_backend<32, 32, unsigned_magnitude>, et_off> ui32_t;
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ui32_t ui32(98);
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cpp_bin_float_100 f100d(ui32);
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BOOST_CHECK_EQUAL(f100d, 98);
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f100d = ui32.convert_to<cpp_bin_float_100>();
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BOOST_CHECK_EQUAL(f100d, 98);
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typedef number<cpp_int_backend<64, 64>, et_off> i64_t;
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i64_t i64(67);
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cpp_bin_float_100 f100e(i64);
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BOOST_CHECK_EQUAL(f100e, 67);
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f100e = i64.convert_to<cpp_bin_float_100>();
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BOOST_CHECK_EQUAL(f100e, 67);
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typedef number<cpp_int_backend<64, 64, unsigned_magnitude>, et_off> ui64_t;
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ui64_t ui64(98);
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cpp_bin_float_100 f100f(ui64);
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BOOST_CHECK_EQUAL(f100f, 98);
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f100f = ui64.convert_to<cpp_bin_float_100>();
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BOOST_CHECK_EQUAL(f100f, 98);
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typedef number<cpp_int_backend<128, 128>, et_off> i128_t;
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i128_t i128(67);
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cpp_bin_float_100 f100g(i128);
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BOOST_CHECK_EQUAL(f100g, 67);
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f100g = i128.convert_to<cpp_bin_float_100>();
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BOOST_CHECK_EQUAL(f100g, 67);
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typedef number<cpp_int_backend<128, 128, unsigned_magnitude>, et_off> ui128_t;
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ui128_t ui128(98);
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cpp_bin_float_100 f100h(ui128);
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BOOST_CHECK_EQUAL(f100h, 98);
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f100h = ui128.convert_to<cpp_bin_float_100>();
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BOOST_CHECK_EQUAL(f100h, 98);
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cpp_bin_float_quad q = (std::numeric_limits<float>::min)();
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BOOST_CHECK_EQUAL(q.convert_to<float>(), (std::numeric_limits<float>::min)());
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q = (std::numeric_limits<float>::max)();
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BOOST_CHECK_EQUAL(q.convert_to<float>(), (std::numeric_limits<float>::max)());
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q = (std::numeric_limits<float>::denorm_min)();
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BOOST_CHECK_EQUAL(q.convert_to<float>(), (std::numeric_limits<float>::denorm_min)());
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// See https://svn.boost.org/trac/boost/ticket/12512:
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boost::multiprecision::number<boost::multiprecision::backends::cpp_bin_float<128, boost::multiprecision::backends::digit_base_2, void, std::int64_t> > ext_float("1e-646456978");
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BOOST_CHECK_EQUAL(ext_float.convert_to<float>(), 0);
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q = -(std::numeric_limits<float>::min)();
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BOOST_CHECK_EQUAL(q.convert_to<float>(), -(std::numeric_limits<float>::min)());
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q = -(std::numeric_limits<float>::max)();
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BOOST_CHECK_EQUAL(q.convert_to<float>(), -(std::numeric_limits<float>::max)());
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q = -(std::numeric_limits<float>::denorm_min)();
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BOOST_CHECK_EQUAL(q.convert_to<float>(), -(std::numeric_limits<float>::denorm_min)());
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// See https://svn.boost.org/trac/boost/ticket/12512:
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ext_float = boost::multiprecision::number<boost::multiprecision::backends::cpp_bin_float<128, boost::multiprecision::backends::digit_base_2, void, std::int64_t> >("-1e-646456978");
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BOOST_CHECK_EQUAL(ext_float.convert_to<float>(), 0);
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ext_float = (std::numeric_limits<double>::max)();
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ext_float *= 16;
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if (std::numeric_limits<double>::has_infinity)
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{
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BOOST_CHECK_EQUAL(ext_float.convert_to<double>(), std::numeric_limits<double>::infinity());
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}
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else
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{
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BOOST_CHECK_EQUAL(ext_float.convert_to<double>(), (std::numeric_limits<double>::max)());
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}
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ext_float = -ext_float;
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if (std::numeric_limits<double>::has_infinity)
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{
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BOOST_CHECK_EQUAL(ext_float.convert_to<double>(), -std::numeric_limits<double>::infinity());
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}
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else
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{
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BOOST_CHECK_EQUAL(ext_float.convert_to<double>(), -(std::numeric_limits<double>::max)());
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}
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//
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// Check for double rounding when the result would be a denorm.
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// See https://svn.boost.org/trac/boost/ticket/12527
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//
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cpp_bin_float_50 r1 = ldexp(cpp_bin_float_50(0x8000000000000bffull), -63 - 1023);
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check_round(r1);
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r1 = -r1;
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check_round(r1);
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r1 = ldexp(cpp_bin_float_50(0x8000017f), -31 - 127);
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check_round(r1);
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r1 = -r1;
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check_round(r1);
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//
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// Check conversion to signed zero works OK:
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//
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r1 = -ldexp(cpp_bin_float_50(1), -3000);
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check_round(r1);
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r1 = 0;
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r1 = -r1;
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BOOST_CHECK(boost::math::signbit(r1));
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check_round(r1);
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//
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// Check boundary as the exponent drops below what a double can cope with
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// but we will be rounding up:
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//
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r1 = 3;
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r1 = ldexp(r1, std::numeric_limits<double>::min_exponent);
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do
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{
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check_round(r1);
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check_round(boost::math::float_next(r1));
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check_round(boost::math::float_prior(r1));
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r1 = ldexp(r1, -1);
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} while (ilogb(r1) > std::numeric_limits<double>::min_exponent - 5 - std::numeric_limits<double>::digits);
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r1 = -3;
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r1 = ldexp(r1, std::numeric_limits<double>::min_exponent);
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do
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{
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check_round(r1);
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check_round(boost::math::float_next(r1));
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check_round(boost::math::float_prior(r1));
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r1 = ldexp(r1, -1);
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} while (ilogb(r1) > std::numeric_limits<double>::min_exponent - 5 - std::numeric_limits<double>::digits);
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//
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// Again when not rounding up:
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//
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r1 = 1;
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r1 = ldexp(r1, std::numeric_limits<double>::min_exponent);
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do
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{
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check_round(r1);
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check_round(boost::math::float_next(r1));
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check_round(boost::math::float_prior(r1));
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r1 = ldexp(r1, -1);
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} while (ilogb(r1) > std::numeric_limits<double>::min_exponent - 5 - std::numeric_limits<double>::digits);
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r1 = -1;
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r1 = ldexp(r1, std::numeric_limits<double>::min_exponent);
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do
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{
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check_round(r1);
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check_round(boost::math::float_next(r1));
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check_round(boost::math::float_prior(r1));
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r1 = ldexp(r1, -1);
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} while (ilogb(r1) > std::numeric_limits<double>::min_exponent - 5 - std::numeric_limits<double>::digits);
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//
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// Test random conversions:
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//
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for (unsigned j = 0; j < 10000; ++j)
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{
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check_round(generate_random<cpp_bin_float_50>(), true);
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}
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return boost::report_errors();
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}
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