74 lines
3 KiB
C++
74 lines
3 KiB
C++
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// Copyright Catch2 Authors
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// Distributed under the Boost Software License, Version 1.0.
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// (See accompanying file LICENSE.txt or copy at
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// https://www.boost.org/LICENSE_1_0.txt)
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// SPDX-License-Identifier: BSL-1.0
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#include <catch2/catch_test_macros.hpp>
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#include <catch2/catch_template_test_macros.hpp>
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#include <catch2/internal/catch_floating_point_helpers.hpp>
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TEST_CASE("convertToBits", "[floating-point][conversion]") {
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using Catch::Detail::convertToBits;
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CHECK( convertToBits( 0.f ) == 0 );
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CHECK( convertToBits( -0.f ) == ( 1ULL << 31 ) );
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CHECK( convertToBits( 0. ) == 0 );
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CHECK( convertToBits( -0. ) == ( 1ULL << 63 ) );
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CHECK( convertToBits( std::numeric_limits<float>::denorm_min() ) == 1 );
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CHECK( convertToBits( std::numeric_limits<double>::denorm_min() ) == 1 );
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}
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TEMPLATE_TEST_CASE("type-shared ulpDistance tests", "[floating-point][ulp][approvals]", float, double) {
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using FP = TestType;
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using Catch::ulpDistance;
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// Distance between zeros is zero
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CHECK( ulpDistance( FP{}, FP{} ) == 0 );
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CHECK( ulpDistance( FP{}, -FP{} ) == 0 );
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CHECK( ulpDistance( -FP{}, -FP{} ) == 0 );
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// Distance between same-sign infinities is zero
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static constexpr FP infinity = std::numeric_limits<FP>::infinity();
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CHECK( ulpDistance( infinity, infinity ) == 0 );
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CHECK( ulpDistance( -infinity, -infinity ) == 0 );
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// Distance between max-finite-val and same sign infinity is 1
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static constexpr FP max_finite = std::numeric_limits<FP>::max();
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CHECK( ulpDistance( max_finite, infinity ) == 1 );
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CHECK( ulpDistance( -max_finite, -infinity ) == 1 );
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// Distance between X and 0 is half of distance between X and -X
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CHECK( ulpDistance( -infinity, infinity ) ==
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2 * ulpDistance( infinity, FP{} ) );
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CHECK( 2 * ulpDistance( FP{ -2. }, FP{} ) ==
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ulpDistance( FP{ -2. }, FP{ 2. } ) );
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CHECK( 2 * ulpDistance( FP{ 2. }, FP{} ) ==
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ulpDistance( FP{ -2. }, FP{ 2. } ) );
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// Denorms are supported
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CHECK( ulpDistance( std::numeric_limits<FP>::denorm_min(), FP{} ) == 1 );
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CHECK( ulpDistance( std::numeric_limits<FP>::denorm_min(), -FP{} ) == 1 );
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CHECK( ulpDistance( -std::numeric_limits<FP>::denorm_min(), FP{} ) == 1 );
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CHECK( ulpDistance( -std::numeric_limits<FP>::denorm_min(), -FP{} ) == 1 );
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CHECK( ulpDistance( std::numeric_limits<FP>::denorm_min(),
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-std::numeric_limits<FP>::denorm_min() ) == 2 );
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// Machine epsilon
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CHECK( ulpDistance( FP{ 1. },
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FP{ 1. } + std::numeric_limits<FP>::epsilon() ) == 1 );
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CHECK( ulpDistance( -FP{ 1. },
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-FP{ 1. } - std::numeric_limits<FP>::epsilon() ) == 1 );
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}
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TEST_CASE("UlpDistance", "[floating-point][ulp][approvals]") {
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using Catch::ulpDistance;
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CHECK( ulpDistance( 1., 2. ) == 0x10'00'00'00'00'00'00 );
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CHECK( ulpDistance( -2., 2. ) == 0x80'00'00'00'00'00'00'00 );
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CHECK( ulpDistance( 1.f, 2.f ) == 0x80'00'00 );
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CHECK( ulpDistance( -2.f, 2.f ) == 0x80'00'00'00 );
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}
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