// Copyright 2018 Dolphin Emulator Project // SPDX-License-Identifier: GPL-2.0-or-later #include #include #include #include #include #include "Common/FloatUtils.h" #include "../Core/PowerPC/TestValues.h" TEST(FloatUtils, IsQNAN) { EXPECT_TRUE(Common::IsQNAN(std::numeric_limits::quiet_NaN())); EXPECT_FALSE(Common::IsQNAN(Common::SNANConstant())); } TEST(FloatUtils, IsSNAN) { EXPECT_FALSE(Common::IsSNAN(std::numeric_limits::quiet_NaN())); EXPECT_TRUE(Common::IsSNAN(Common::SNANConstant())); } TEST(FloatUtils, FlushToZero) { // To test the software implementation we need to make sure FTZ and DAZ are disabled. // Using volatile here to ensure the compiler doesn't constant-fold it, // we want the multiplication to occur at test runtime. volatile float s = std::numeric_limits::denorm_min(); volatile double d = std::numeric_limits::denorm_min(); EXPECT_LT(0.f, s * 2); EXPECT_LT(0.0, d * 2); EXPECT_EQ(+0.0, Common::FlushToZero(+std::numeric_limits::denorm_min())); EXPECT_EQ(-0.0, Common::FlushToZero(-std::numeric_limits::denorm_min())); EXPECT_EQ(+0.0, Common::FlushToZero(+std::numeric_limits::min() / 2)); EXPECT_EQ(-0.0, Common::FlushToZero(-std::numeric_limits::min() / 2)); EXPECT_EQ(std::numeric_limits::min(), Common::FlushToZero(std::numeric_limits::min())); EXPECT_EQ(std::numeric_limits::max(), Common::FlushToZero(std::numeric_limits::max())); EXPECT_EQ(+std::numeric_limits::infinity(), Common::FlushToZero(+std::numeric_limits::infinity())); EXPECT_EQ(-std::numeric_limits::infinity(), Common::FlushToZero(-std::numeric_limits::infinity())); // Test all subnormals as well as an equally large set of random normal floats. std::default_random_engine engine(0); std::uniform_int_distribution dist(0x00800000u, 0x7fffffffu); for (u32 i = 0; i <= 0x007fffffu; ++i) { u32 i_tmp = i; EXPECT_EQ(+0.f, Common::FlushToZero(std::bit_cast(i_tmp))); i_tmp |= 0x80000000u; EXPECT_EQ(-0.f, Common::FlushToZero(std::bit_cast(i_tmp))); i_tmp = dist(engine); EXPECT_EQ(i_tmp, std::bit_cast(Common::FlushToZero(std::bit_cast(i_tmp)))); i_tmp |= 0x80000000u; EXPECT_EQ(i_tmp, std::bit_cast(Common::FlushToZero(std::bit_cast(i_tmp)))); } } TEST(FloatUtils, ApproximateReciprocalSquareRoot) { constexpr std::array expected_values{ 0x7FF0'0000'0000'0000, 0x617F'FE80'0000'0000, 0x60BF'FE80'0000'0000, 0x5FE0'0008'2C00'0000, 0x5FDF'FE80'0000'0000, 0x5FDF'FE80'0000'0000, 0x3FEF'FE80'0000'0000, 0x1FF0'0008'2C00'0000, 0x0000'0000'0000'0000, 0x7FF8'0000'0000'0001, 0x7FFF'FFFF'FFFF'FFFF, 0x7FF8'0000'0000'0000, 0x7FFF'FFFF'FFFF'FFFF, 0xFFF0'0000'0000'0000, 0x7FF8'0000'0000'0000, 0x7FF8'0000'0000'0000, 0x7FF8'0000'0000'0000, 0x7FF8'0000'0000'0000, 0x7FF8'0000'0000'0000, 0x7FF8'0000'0000'0000, 0x7FF8'0000'0000'0000, 0x7FF8'0000'0000'0000, 0xFFF8'0000'0000'0001, 0xFFFF'FFFF'FFFF'FFFF, 0xFFF8'0000'0000'0000, 0xFFFF'FFFF'FFFF'FFFF, 0x43E6'9FA0'0000'0000, 0x43DF'FE80'0000'0000, 0x7FF8'0000'0000'0000, 0x7FF8'0000'0000'0000, 0x43E6'9360'6000'0000, 0x43DF'ED30'7000'0000, 0x7FF8'0000'0000'0000, 0x7FF8'0000'0000'0000, 0x44A6'9FA0'0000'0000, 0x4496'9FA0'0000'0000, 0x448F'FE80'0000'0000, 0x7FF8'0000'0000'0000, 0x7FF8'0000'0000'0000, 0x7FF8'0000'0000'0000, 0x44A6'9360'6000'0000, 0x4496'9360'6000'0000, 0x448F'ED30'7000'0000, 0x7FF8'0000'0000'0000, 0x7FF8'0000'0000'0000, 0x7FF8'0000'0000'0000, 0x3C06'9FA0'0000'0000, 0x3BFF'FE80'0000'0000, 0x7FF8'0000'0000'0000, 0x7FF8'0000'0000'0000, 0x43EF'FE80'0000'0000, 0x43F6'9FA0'0000'0000, 0x7FF8'0000'0000'0000, 0x7FF8'0000'0000'0000, 0x3FEA'2040'0000'0000, 0x3FA0'3108'0000'0000, 0x7FF8'0000'0000'0000}; for (size_t i = 0; i < double_test_values.size(); ++i) { u64 ivalue = double_test_values[i]; double dvalue = std::bit_cast(ivalue); u64 expected = expected_values[i]; u64 actual = std::bit_cast(Common::ApproximateReciprocalSquareRoot(dvalue)); EXPECT_EQ(expected, actual); } }