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Diffstat (limited to 'unsupported/test/cxx11_float16.cpp')
| -rw-r--r-- | unsupported/test/cxx11_float16.cpp | 155 |
1 files changed, 155 insertions, 0 deletions
diff --git a/unsupported/test/cxx11_float16.cpp b/unsupported/test/cxx11_float16.cpp new file mode 100644 index 000000000..2dc0872d8 --- /dev/null +++ b/unsupported/test/cxx11_float16.cpp @@ -0,0 +1,155 @@ +// This file is part of Eigen, a lightweight C++ template library +// for linear algebra. +// +// This Source Code Form is subject to the terms of the Mozilla +// Public License v. 2.0. If a copy of the MPL was not distributed +// with this file, You can obtain one at http://mozilla.org/MPL/2.0/. + +#define EIGEN_TEST_NO_LONGDOUBLE +#define EIGEN_TEST_NO_COMPLEX +#define EIGEN_TEST_FUNC cxx11_float16 + +#include "main.h" +#include <Eigen/src/Core/arch/CUDA/Half.h> + +using Eigen::half; + +void test_conversion() +{ + // Conversion from float. + VERIFY_IS_EQUAL(half(1.0f).x, 0x3c00); + VERIFY_IS_EQUAL(half(0.5f).x, 0x3800); + VERIFY_IS_EQUAL(half(0.33333f).x, 0x3555); + VERIFY_IS_EQUAL(half(0.0f).x, 0x0000); + VERIFY_IS_EQUAL(half(-0.0f).x, 0x8000); + VERIFY_IS_EQUAL(half(65504.0f).x, 0x7bff); + VERIFY_IS_EQUAL(half(65536.0f).x, 0x7c00); // Becomes infinity. + + // Denormals. + VERIFY_IS_EQUAL(half(-5.96046e-08f).x, 0x8001); + VERIFY_IS_EQUAL(half(5.96046e-08f).x, 0x0001); + VERIFY_IS_EQUAL(half(1.19209e-07f).x, 0x0002); + + // Verify round-to-nearest-even behavior. + float val1 = float(half(__half{0x3c00})); + float val2 = float(half(__half{0x3c01})); + float val3 = float(half(__half{0x3c02})); + VERIFY_IS_EQUAL(half(0.5 * (val1 + val2)).x, 0x3c00); + VERIFY_IS_EQUAL(half(0.5 * (val2 + val3)).x, 0x3c02); + + // Conversion from int. + VERIFY_IS_EQUAL(half(-1).x, 0xbc00); + VERIFY_IS_EQUAL(half(0).x, 0x0000); + VERIFY_IS_EQUAL(half(1).x, 0x3c00); + VERIFY_IS_EQUAL(half(2).x, 0x4000); + VERIFY_IS_EQUAL(half(3).x, 0x4200); + + // Conversion from bool. + VERIFY_IS_EQUAL(half(false).x, 0x0000); + VERIFY_IS_EQUAL(half(true).x, 0x3c00); + + // Conversion to float. + VERIFY_IS_EQUAL(float(half(__half{0x0000})), 0.0f); + VERIFY_IS_EQUAL(float(half(__half{0x3c00})), 1.0f); + + // Denormals. + VERIFY_IS_APPROX(float(half(__half{0x8001})), -5.96046e-08f); + VERIFY_IS_APPROX(float(half(__half{0x0001})), 5.96046e-08f); + VERIFY_IS_APPROX(float(half(__half{0x0002})), 1.19209e-07f); + + // NaNs and infinities. + VERIFY(!(numext::isinf)(float(half(65504.0f)))); // Largest finite number. + VERIFY(!(numext::isnan)(float(half(0.0f)))); + VERIFY((numext::isinf)(float(half(__half{0xfc00})))); + VERIFY((numext::isnan)(float(half(__half{0xfc01})))); + VERIFY((numext::isinf)(float(half(__half{0x7c00})))); + VERIFY((numext::isnan)(float(half(__half{0x7c01})))); + +#if !EIGEN_COMP_MSVC + // Visual Studio errors out on divisions by 0 + VERIFY((numext::isnan)(float(half(0.0 / 0.0)))); + VERIFY((numext::isinf)(float(half(1.0 / 0.0)))); + VERIFY((numext::isinf)(float(half(-1.0 / 0.0)))); +#endif + + // Exactly same checks as above, just directly on the half representation. + VERIFY(!(numext::isinf)(half(__half{0x7bff}))); + VERIFY(!(numext::isnan)(half(__half{0x0000}))); + VERIFY((numext::isinf)(half(__half{0xfc00}))); + VERIFY((numext::isnan)(half(__half{0xfc01}))); + VERIFY((numext::isinf)(half(__half{0x7c00}))); + VERIFY((numext::isnan)(half(__half{0x7c01}))); + +#if !EIGEN_COMP_MSVC + // Visual Studio errors out on divisions by 0 + VERIFY((numext::isnan)(half(0.0 / 0.0))); + VERIFY((numext::isinf)(half(1.0 / 0.0))); + VERIFY((numext::isinf)(half(-1.0 / 0.0))); +#endif +} + +void test_arithmetic() +{ + VERIFY_IS_EQUAL(float(half(2) + half(2)), 4); + VERIFY_IS_EQUAL(float(half(2) + half(-2)), 0); + VERIFY_IS_APPROX(float(half(0.33333f) + half(0.66667f)), 1.0f); + VERIFY_IS_EQUAL(float(half(2.0f) * half(-5.5f)), -11.0f); + VERIFY_IS_APPROX(float(half(1.0f) / half(3.0f)), 0.33333f); + VERIFY_IS_EQUAL(float(-half(4096.0f)), -4096.0f); + VERIFY_IS_EQUAL(float(-half(-4096.0f)), 4096.0f); +} + +void test_comparison() +{ + VERIFY(half(1.0f) > half(0.5f)); + VERIFY(half(0.5f) < half(1.0f)); + VERIFY(!(half(1.0f) < half(0.5f))); + VERIFY(!(half(0.5f) > half(1.0f))); + + VERIFY(!(half(4.0f) > half(4.0f))); + VERIFY(!(half(4.0f) < half(4.0f))); + + VERIFY(!(half(0.0f) < half(-0.0f))); + VERIFY(!(half(-0.0f) < half(0.0f))); + VERIFY(!(half(0.0f) > half(-0.0f))); + VERIFY(!(half(-0.0f) > half(0.0f))); + + VERIFY(half(0.2f) > half(-1.0f)); + VERIFY(half(-1.0f) < half(0.2f)); + VERIFY(half(-16.0f) < half(-15.0f)); + + VERIFY(half(1.0f) == half(1.0f)); + VERIFY(half(1.0f) != half(2.0f)); + + // Comparisons with NaNs and infinities. + VERIFY(!(half(0.0 / 0.0) == half(0.0 / 0.0))); + VERIFY(half(0.0 / 0.0) != half(0.0 / 0.0)); + + VERIFY(!(half(1.0) == half(0.0 / 0.0))); + VERIFY(!(half(1.0) < half(0.0 / 0.0))); + VERIFY(!(half(1.0) > half(0.0 / 0.0))); + VERIFY(half(1.0) != half(0.0 / 0.0)); + + VERIFY(half(1.0) < half(1.0 / 0.0)); + VERIFY(half(1.0) > half(-1.0 / 0.0)); +} + +void test_functions() +{ + VERIFY_IS_EQUAL(float(numext::abs(half(3.5f))), 3.5f); + VERIFY_IS_EQUAL(float(numext::abs(half(-3.5f))), 3.5f); + + VERIFY_IS_EQUAL(float(numext::exp(half(0.0f))), 1.0f); + VERIFY_IS_APPROX(float(numext::exp(half(EIGEN_PI))), float(20.0 + EIGEN_PI)); + + VERIFY_IS_EQUAL(float(numext::log(half(1.0f))), 0.0f); + VERIFY_IS_APPROX(float(numext::log(half(10.0f))), 2.30273f); +} + +void test_cxx11_float16() +{ + CALL_SUBTEST(test_conversion()); + CALL_SUBTEST(test_arithmetic()); + CALL_SUBTEST(test_comparison()); + CALL_SUBTEST(test_functions()); +} |