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Fix up cpp_bin_float for very small bit counts. (#577)
Fix up cpp_bin_float for very small bit counts. Adds support for emulating float16_t and bfloat16_t. Also adds test cases, and updates test_arithmetic.hpp to cope with testing small bit count types. Fixes #576.
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,122 @@ | ||
| /////////////////////////////////////////////////////////////////////////////// | ||
| // Copyright 2023 John Maddock. Distributed under 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) | ||
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| #include <boost/multiprecision/cpp_bin_float.hpp> | ||
| #include <iostream> | ||
| #include "test.hpp" | ||
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| template <class Float, class F> | ||
| void test(F f, bool big) | ||
| { | ||
| Float f2(f); | ||
| if (big) | ||
| { | ||
| F tol = f * static_cast<F>(std::numeric_limits<Float>::epsilon()); | ||
| F max = static_cast<F>((std::numeric_limits<Float>::max)()); | ||
| F diff = static_cast<F>(f2) - f; | ||
| if (diff < 0) | ||
| diff = -diff; | ||
| if (f > max) | ||
| { | ||
| BOOST_CHECK(isinf(f2) || (diff < tol)); | ||
| } | ||
| else | ||
| { | ||
| BOOST_CHECK_LE(diff, tol); | ||
| } | ||
| } | ||
| else | ||
| { | ||
| BOOST_CHECK_EQUAL(static_cast<F>(f2), f); | ||
| } | ||
| } | ||
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| template <class Float> | ||
| void test() | ||
| { | ||
| std::int64_t i = static_cast<std::int64_t>(1) << (std::numeric_limits<Float>::max_exponent + 1); | ||
| Float f(i); | ||
| BOOST_CHECK_EQUAL(f, std::numeric_limits<Float>::infinity()); | ||
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| if (std::numeric_limits<Float>::max_exponent < std::numeric_limits<float>::digits) | ||
| { | ||
| BOOST_CHECK_EQUAL(Float(static_cast<float>(i)), std::numeric_limits<Float>::infinity()); | ||
| } | ||
| if (std::numeric_limits<Float>::max_exponent < std::numeric_limits<double>::digits) | ||
| { | ||
| BOOST_CHECK_EQUAL(Float(static_cast<double>(i)), std::numeric_limits<Float>::infinity()); | ||
| } | ||
| if (std::numeric_limits<Float>::max_exponent < std::numeric_limits<long double>::digits) | ||
| { | ||
| BOOST_CHECK_EQUAL(Float(static_cast<long double>(i)), std::numeric_limits<Float>::infinity()); | ||
| } | ||
| #ifdef BOOST_HAS_FLOAT128 | ||
| if (std::numeric_limits<Float>::max_exponent < std::numeric_limits<__float128>::digits) | ||
| { | ||
| BOOST_CHECK_EQUAL(Float(static_cast<__float128>(i)), std::numeric_limits<Float>::infinity()); | ||
| } | ||
| #endif | ||
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| --i; | ||
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| while (i) | ||
| { | ||
| Float f2(i); | ||
| BOOST_CHECK_NE(f2, std::numeric_limits<Float>::infinity()); | ||
| bool big = boost::multiprecision::msb(i) >= std::numeric_limits<Float>::digits; | ||
| if (big) | ||
| { | ||
| BOOST_CHECK_LE(static_cast<std::int64_t>(f2), i); | ||
| } | ||
| else | ||
| { | ||
| BOOST_CHECK_EQUAL(static_cast<std::int64_t>(f2), i); | ||
| } | ||
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| if (std::numeric_limits<Float>::max_exponent < std::numeric_limits<float>::digits) | ||
| { | ||
| test<Float>(static_cast<float>(i), big); | ||
| for (int exp = -1; exp >= std::numeric_limits<Float>::min_exponent; --exp) | ||
| test<Float>(std::ldexp(static_cast<float>(i), exp), big); | ||
| } | ||
| if (std::numeric_limits<Float>::max_exponent < std::numeric_limits<double>::digits) | ||
| { | ||
| test<Float>(static_cast<double>(i), big); | ||
| for (int exp = -1; exp >= std::numeric_limits<Float>::min_exponent; --exp) | ||
| test<Float>(std::ldexp(static_cast<double>(i), exp), big); | ||
| } | ||
| if (std::numeric_limits<Float>::max_exponent < std::numeric_limits<long double>::digits) | ||
| { | ||
| test<Float>(static_cast<long double>(i), big); | ||
| for (int exp = -1; exp >= std::numeric_limits<Float>::min_exponent; --exp) | ||
| test<Float>(std::ldexp(static_cast<long double>(i), exp), big); | ||
| } | ||
| #ifdef BOOST_HAS_FLOAT128 | ||
| if (std::numeric_limits<Float>::max_exponent < std::numeric_limits<__float128>::digits) | ||
| { | ||
| test<Float>(static_cast<__float128>(i), big); | ||
| for (int exp = -1; exp >= std::numeric_limits<Float>::min_exponent; --exp) | ||
| test<Float>(ldexpq(static_cast<__float128>(i), exp), big); | ||
| } | ||
| #endif | ||
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| --i; | ||
| } | ||
| } | ||
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| int main() | ||
| { | ||
| using namespace boost::multiprecision; | ||
| typedef number<backends::cpp_bin_float<11, backends::digit_base_2, void, std::int16_t, -14, 15>, et_off> float16_t; | ||
| //typedef number<backends::cpp_bin_float<8, backends::digit_base_2, void, std::int16_t, -126, 127>, et_off> bfloat16_t; | ||
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| test<float16_t>(); | ||
| //test<bfloat16_t>(); | ||
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| return boost::report_errors(); | ||
| } |
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