mirror of
https://gitlab.com/libeigen/eigen.git
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258 lines
9.1 KiB
C++
258 lines
9.1 KiB
C++
// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra.
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//
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// This Source Code Form is subject to the terms of the Mozilla
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// Public License v. 2.0. If a copy of the MPL was not distributed
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// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
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#include <sstream>
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#include "main.h"
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#include <Eigen/src/Core/arch/CUDA/Half.h>
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// Make sure it's possible to forward declare Eigen::half
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namespace Eigen {
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struct half;
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}
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using Eigen::half;
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void test_conversion()
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{
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using Eigen::half_impl::__half;
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// Conversion from float.
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VERIFY_IS_EQUAL(half(1.0f).x, 0x3c00);
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VERIFY_IS_EQUAL(half(0.5f).x, 0x3800);
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VERIFY_IS_EQUAL(half(0.33333f).x, 0x3555);
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VERIFY_IS_EQUAL(half(0.0f).x, 0x0000);
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VERIFY_IS_EQUAL(half(-0.0f).x, 0x8000);
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VERIFY_IS_EQUAL(half(65504.0f).x, 0x7bff);
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VERIFY_IS_EQUAL(half(65536.0f).x, 0x7c00); // Becomes infinity.
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// Denormals.
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VERIFY_IS_EQUAL(half(-5.96046e-08f).x, 0x8001);
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VERIFY_IS_EQUAL(half(5.96046e-08f).x, 0x0001);
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VERIFY_IS_EQUAL(half(1.19209e-07f).x, 0x0002);
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// Verify round-to-nearest-even behavior.
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float val1 = float(half(__half(0x3c00)));
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float val2 = float(half(__half(0x3c01)));
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float val3 = float(half(__half(0x3c02)));
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VERIFY_IS_EQUAL(half(0.5f * (val1 + val2)).x, 0x3c00);
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VERIFY_IS_EQUAL(half(0.5f * (val2 + val3)).x, 0x3c02);
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// Conversion from int.
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VERIFY_IS_EQUAL(half(-1).x, 0xbc00);
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VERIFY_IS_EQUAL(half(0).x, 0x0000);
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VERIFY_IS_EQUAL(half(1).x, 0x3c00);
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VERIFY_IS_EQUAL(half(2).x, 0x4000);
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VERIFY_IS_EQUAL(half(3).x, 0x4200);
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// Conversion from bool.
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VERIFY_IS_EQUAL(half(false).x, 0x0000);
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VERIFY_IS_EQUAL(half(true).x, 0x3c00);
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// Conversion to float.
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VERIFY_IS_EQUAL(float(half(__half(0x0000))), 0.0f);
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VERIFY_IS_EQUAL(float(half(__half(0x3c00))), 1.0f);
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// Denormals.
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VERIFY_IS_APPROX(float(half(__half(0x8001))), -5.96046e-08f);
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VERIFY_IS_APPROX(float(half(__half(0x0001))), 5.96046e-08f);
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VERIFY_IS_APPROX(float(half(__half(0x0002))), 1.19209e-07f);
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// NaNs and infinities.
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VERIFY(!(numext::isinf)(float(half(65504.0f)))); // Largest finite number.
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VERIFY(!(numext::isnan)(float(half(0.0f))));
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VERIFY((numext::isinf)(float(half(__half(0xfc00)))));
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VERIFY((numext::isnan)(float(half(__half(0xfc01)))));
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VERIFY((numext::isinf)(float(half(__half(0x7c00)))));
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VERIFY((numext::isnan)(float(half(__half(0x7c01)))));
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#if !EIGEN_COMP_MSVC
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// Visual Studio errors out on divisions by 0
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VERIFY((numext::isnan)(float(half(0.0 / 0.0))));
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VERIFY((numext::isinf)(float(half(1.0 / 0.0))));
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VERIFY((numext::isinf)(float(half(-1.0 / 0.0))));
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#endif
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// Exactly same checks as above, just directly on the half representation.
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VERIFY(!(numext::isinf)(half(__half(0x7bff))));
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VERIFY(!(numext::isnan)(half(__half(0x0000))));
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VERIFY((numext::isinf)(half(__half(0xfc00))));
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VERIFY((numext::isnan)(half(__half(0xfc01))));
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VERIFY((numext::isinf)(half(__half(0x7c00))));
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VERIFY((numext::isnan)(half(__half(0x7c01))));
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#if !EIGEN_COMP_MSVC
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// Visual Studio errors out on divisions by 0
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VERIFY((numext::isnan)(half(0.0 / 0.0)));
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VERIFY((numext::isinf)(half(1.0 / 0.0)));
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VERIFY((numext::isinf)(half(-1.0 / 0.0)));
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#endif
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}
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void test_numtraits()
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{
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std::cout << "epsilon = " << NumTraits<half>::epsilon() << std::endl;
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std::cout << "highest = " << NumTraits<half>::highest() << std::endl;
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std::cout << "lowest = " << NumTraits<half>::lowest() << std::endl;
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std::cout << "inifinty = " << NumTraits<half>::infinity() << std::endl;
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std::cout << "nan = " << NumTraits<half>::quiet_NaN() << std::endl;
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}
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void test_arithmetic()
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{
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VERIFY_IS_EQUAL(float(half(2) + half(2)), 4);
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VERIFY_IS_EQUAL(float(half(2) + half(-2)), 0);
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VERIFY_IS_APPROX(float(half(0.33333f) + half(0.66667f)), 1.0f);
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VERIFY_IS_EQUAL(float(half(2.0f) * half(-5.5f)), -11.0f);
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VERIFY_IS_APPROX(float(half(1.0f) / half(3.0f)), 0.33333f);
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VERIFY_IS_EQUAL(float(-half(4096.0f)), -4096.0f);
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VERIFY_IS_EQUAL(float(-half(-4096.0f)), 4096.0f);
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}
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void test_comparison()
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{
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VERIFY(half(1.0f) > half(0.5f));
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VERIFY(half(0.5f) < half(1.0f));
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VERIFY(!(half(1.0f) < half(0.5f)));
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VERIFY(!(half(0.5f) > half(1.0f)));
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VERIFY(!(half(4.0f) > half(4.0f)));
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VERIFY(!(half(4.0f) < half(4.0f)));
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VERIFY(!(half(0.0f) < half(-0.0f)));
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VERIFY(!(half(-0.0f) < half(0.0f)));
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VERIFY(!(half(0.0f) > half(-0.0f)));
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VERIFY(!(half(-0.0f) > half(0.0f)));
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VERIFY(half(0.2f) > half(-1.0f));
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VERIFY(half(-1.0f) < half(0.2f));
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VERIFY(half(-16.0f) < half(-15.0f));
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VERIFY(half(1.0f) == half(1.0f));
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VERIFY(half(1.0f) != half(2.0f));
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// Comparisons with NaNs and infinities.
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#if !EIGEN_COMP_MSVC
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// Visual Studio errors out on divisions by 0
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VERIFY(!(half(0.0 / 0.0) == half(0.0 / 0.0)));
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VERIFY(half(0.0 / 0.0) != half(0.0 / 0.0));
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VERIFY(!(half(1.0) == half(0.0 / 0.0)));
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VERIFY(!(half(1.0) < half(0.0 / 0.0)));
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VERIFY(!(half(1.0) > half(0.0 / 0.0)));
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VERIFY(half(1.0) != half(0.0 / 0.0));
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VERIFY(half(1.0) < half(1.0 / 0.0));
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VERIFY(half(1.0) > half(-1.0 / 0.0));
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#endif
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}
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void test_basic_functions()
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{
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VERIFY_IS_EQUAL(float(numext::abs(half(3.5f))), 3.5f);
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VERIFY_IS_EQUAL(float(abs(half(3.5f))), 3.5f);
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VERIFY_IS_EQUAL(float(numext::abs(half(-3.5f))), 3.5f);
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VERIFY_IS_EQUAL(float(abs(half(-3.5f))), 3.5f);
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VERIFY_IS_EQUAL(float(numext::floor(half(3.5f))), 3.0f);
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VERIFY_IS_EQUAL(float(floor(half(3.5f))), 3.0f);
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VERIFY_IS_EQUAL(float(numext::floor(half(-3.5f))), -4.0f);
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VERIFY_IS_EQUAL(float(floor(half(-3.5f))), -4.0f);
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VERIFY_IS_EQUAL(float(numext::ceil(half(3.5f))), 4.0f);
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VERIFY_IS_EQUAL(float(ceil(half(3.5f))), 4.0f);
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VERIFY_IS_EQUAL(float(numext::ceil(half(-3.5f))), -3.0f);
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VERIFY_IS_EQUAL(float(ceil(half(-3.5f))), -3.0f);
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VERIFY_IS_APPROX(float(numext::sqrt(half(0.0f))), 0.0f);
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VERIFY_IS_APPROX(float(sqrt(half(0.0f))), 0.0f);
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VERIFY_IS_APPROX(float(numext::sqrt(half(4.0f))), 2.0f);
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VERIFY_IS_APPROX(float(sqrt(half(4.0f))), 2.0f);
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VERIFY_IS_APPROX(float(numext::pow(half(0.0f), half(1.0f))), 0.0f);
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VERIFY_IS_APPROX(float(pow(half(0.0f), half(1.0f))), 0.0f);
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VERIFY_IS_APPROX(float(numext::pow(half(2.0f), half(2.0f))), 4.0f);
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VERIFY_IS_APPROX(float(pow(half(2.0f), half(2.0f))), 4.0f);
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VERIFY_IS_EQUAL(float(numext::exp(half(0.0f))), 1.0f);
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VERIFY_IS_EQUAL(float(exp(half(0.0f))), 1.0f);
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VERIFY_IS_APPROX(float(numext::exp(half(EIGEN_PI))), 20.f + float(EIGEN_PI));
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VERIFY_IS_APPROX(float(exp(half(EIGEN_PI))), 20.f + float(EIGEN_PI));
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VERIFY_IS_EQUAL(float(numext::expm1(half(0.0f))), 0.0f);
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VERIFY_IS_EQUAL(float(expm1(half(0.0f))), 0.0f);
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VERIFY_IS_APPROX(float(numext::expm1(half(2.0f))), 6.3890561f);
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VERIFY_IS_APPROX(float(expm1(half(2.0f))), 6.3890561f);
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VERIFY_IS_EQUAL(float(numext::log(half(1.0f))), 0.0f);
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VERIFY_IS_EQUAL(float(log(half(1.0f))), 0.0f);
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VERIFY_IS_APPROX(float(numext::log(half(10.0f))), 2.30273f);
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VERIFY_IS_APPROX(float(log(half(10.0f))), 2.30273f);
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VERIFY_IS_EQUAL(float(numext::log1p(half(0.0f))), 0.0f);
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VERIFY_IS_EQUAL(float(log1p(half(0.0f))), 0.0f);
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VERIFY_IS_APPROX(float(numext::log1p(half(10.0f))), 2.3978953f);
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VERIFY_IS_APPROX(float(log1p(half(10.0f))), 2.3978953f);
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}
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void test_trigonometric_functions()
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{
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VERIFY_IS_APPROX(numext::cos(half(0.0f)), half(cosf(0.0f)));
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VERIFY_IS_APPROX(cos(half(0.0f)), half(cosf(0.0f)));
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VERIFY_IS_APPROX(numext::cos(half(EIGEN_PI)), half(cosf(EIGEN_PI)));
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//VERIFY_IS_APPROX(numext::cos(half(EIGEN_PI/2)), half(cosf(EIGEN_PI/2)));
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//VERIFY_IS_APPROX(numext::cos(half(3*EIGEN_PI/2)), half(cosf(3*EIGEN_PI/2)));
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VERIFY_IS_APPROX(numext::cos(half(3.5f)), half(cosf(3.5f)));
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VERIFY_IS_APPROX(numext::sin(half(0.0f)), half(sinf(0.0f)));
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VERIFY_IS_APPROX(sin(half(0.0f)), half(sinf(0.0f)));
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// VERIFY_IS_APPROX(numext::sin(half(EIGEN_PI)), half(sinf(EIGEN_PI)));
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VERIFY_IS_APPROX(numext::sin(half(EIGEN_PI/2)), half(sinf(EIGEN_PI/2)));
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VERIFY_IS_APPROX(numext::sin(half(3*EIGEN_PI/2)), half(sinf(3*EIGEN_PI/2)));
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VERIFY_IS_APPROX(numext::sin(half(3.5f)), half(sinf(3.5f)));
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VERIFY_IS_APPROX(numext::tan(half(0.0f)), half(tanf(0.0f)));
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VERIFY_IS_APPROX(tan(half(0.0f)), half(tanf(0.0f)));
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// VERIFY_IS_APPROX(numext::tan(half(EIGEN_PI)), half(tanf(EIGEN_PI)));
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// VERIFY_IS_APPROX(numext::tan(half(EIGEN_PI/2)), half(tanf(EIGEN_PI/2)));
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//VERIFY_IS_APPROX(numext::tan(half(3*EIGEN_PI/2)), half(tanf(3*EIGEN_PI/2)));
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VERIFY_IS_APPROX(numext::tan(half(3.5f)), half(tanf(3.5f)));
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}
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void test_array()
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{
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typedef Array<half,1,Dynamic> ArrayXh;
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Index size = internal::random<Index>(1,10);
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Index i = internal::random<Index>(0,size-1);
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ArrayXh a1 = ArrayXh::Random(size), a2 = ArrayXh::Random(size);
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VERIFY_IS_APPROX( a1+a1, half(2)*a1 );
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VERIFY( (a1.abs() >= half(0)).all() );
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VERIFY_IS_APPROX( (a1*a1).sqrt(), a1.abs() );
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VERIFY( ((a1.min)(a2) <= (a1.max)(a2)).all() );
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a1(i) = half(-10.);
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VERIFY_IS_EQUAL( a1.minCoeff(), half(-10.) );
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a1(i) = half(10.);
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VERIFY_IS_EQUAL( a1.maxCoeff(), half(10.) );
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std::stringstream ss;
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ss << a1;
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}
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void test_half_float()
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{
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CALL_SUBTEST(test_conversion());
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CALL_SUBTEST(test_numtraits());
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CALL_SUBTEST(test_arithmetic());
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CALL_SUBTEST(test_comparison());
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CALL_SUBTEST(test_basic_functions());
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CALL_SUBTEST(test_trigonometric_functions());
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CALL_SUBTEST(test_array());
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}
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