// Copyright Catch2 Authors // Distributed under the Boost Software License, Version 1.0. // (See accompanying file LICENSE_1_0.txt or copy at // https://www.boost.org/LICENSE_1_0.txt) // SPDX-License-Identifier: BSL-1.0 #include #include #include TEST_CASE("convertToBits", "[floating-point][conversion]") { using Catch::Detail::convertToBits; CHECK( convertToBits( 0.f ) == 0 ); CHECK( convertToBits( -0.f ) == ( 1ULL << 31 ) ); CHECK( convertToBits( 0. ) == 0 ); CHECK( convertToBits( -0. ) == ( 1ULL << 63 ) ); CHECK( convertToBits( std::numeric_limits::denorm_min() ) == 1 ); CHECK( convertToBits( std::numeric_limits::denorm_min() ) == 1 ); } TEMPLATE_TEST_CASE("type-shared ulpDistance tests", "[floating-point][ulp][approvals]", float, double) { using FP = TestType; using Catch::ulpDistance; // Distance between zeros is zero CHECK( ulpDistance( FP{}, FP{} ) == 0 ); CHECK( ulpDistance( FP{}, -FP{} ) == 0 ); CHECK( ulpDistance( -FP{}, -FP{} ) == 0 ); // Distance between same-sign infinities is zero static constexpr FP infinity = std::numeric_limits::infinity(); CHECK( ulpDistance( infinity, infinity ) == 0 ); CHECK( ulpDistance( -infinity, -infinity ) == 0 ); // Distance between max-finite-val and same sign infinity is 1 static constexpr FP max_finite = std::numeric_limits::max(); CHECK( ulpDistance( max_finite, infinity ) == 1 ); CHECK( ulpDistance( -max_finite, -infinity ) == 1 ); // Distance between X and 0 is half of distance between X and -X CHECK( ulpDistance( -infinity, infinity ) == 2 * ulpDistance( infinity, FP{} ) ); CHECK( 2 * ulpDistance( FP{ -2. }, FP{} ) == ulpDistance( FP{ -2. }, FP{ 2. } ) ); CHECK( 2 * ulpDistance( FP{ 2. }, FP{} ) == ulpDistance( FP{ -2. }, FP{ 2. } ) ); // Denorms are supported CHECK( ulpDistance( std::numeric_limits::denorm_min(), FP{} ) == 1 ); CHECK( ulpDistance( std::numeric_limits::denorm_min(), -FP{} ) == 1 ); CHECK( ulpDistance( -std::numeric_limits::denorm_min(), FP{} ) == 1 ); CHECK( ulpDistance( -std::numeric_limits::denorm_min(), -FP{} ) == 1 ); CHECK( ulpDistance( std::numeric_limits::denorm_min(), -std::numeric_limits::denorm_min() ) == 2 ); // Machine epsilon CHECK( ulpDistance( FP{ 1. }, FP{ 1. } + std::numeric_limits::epsilon() ) == 1 ); CHECK( ulpDistance( -FP{ 1. }, -FP{ 1. } - std::numeric_limits::epsilon() ) == 1 ); } TEST_CASE("UlpDistance", "[floating-point][ulp][approvals]") { using Catch::ulpDistance; CHECK( ulpDistance( 1., 2. ) == 0x10'00'00'00'00'00'00 ); CHECK( ulpDistance( -2., 2. ) == 0x80'00'00'00'00'00'00'00 ); CHECK( ulpDistance( 1.f, 2.f ) == 0x80'00'00 ); CHECK( ulpDistance( -2.f, 2.f ) == 0x80'00'00'00 ); }