// Copyright 2020 The Tint Authors. // // Licensed under the Apache License, Version 2.0 (the "License"); // you may not use this file except in compliance with the License. // You may obtain a copy of the License at // // http://www.apache.org/licenses/LICENSE-2.0 // // Unless required by applicable law or agreed to in writing, software // distributed under the License is distributed on an "AS IS" BASIS, // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. // See the License for the specific language governing permissions and // limitations under the License. #include "src/tint/writer/float_to_string.h" #include #include #include #include "gtest/gtest.h" namespace tint::writer { namespace { // Makes an IEEE 754 binary32 floating point number with // - 0 sign if sign is 0, 1 otherwise // - 'exponent_bits' is placed in the exponent space. // So, the exponent bias must already be included. float MakeFloat(int sign, int biased_exponent, int mantissa) { const uint32_t sign_bit = sign ? 0x80000000u : 0u; // The binary32 exponent is 8 bits, just below the sign. const uint32_t exponent_bits = (biased_exponent & 0xffu) << 23; // The mantissa is the bottom 23 bits. const uint32_t mantissa_bits = (mantissa & 0x7fffffu); uint32_t bits = sign_bit | exponent_bits | mantissa_bits; float result = 0.0f; static_assert(sizeof(result) == sizeof(bits), "expected float and uint32_t to be the same size"); std::memcpy(&result, &bits, sizeof(bits)); return result; } TEST(FloatToStringTest, Zero) { EXPECT_EQ(FloatToString(0.0f), "0.0"); } TEST(FloatToStringTest, One) { EXPECT_EQ(FloatToString(1.0f), "1.0"); } TEST(FloatToStringTest, MinusOne) { EXPECT_EQ(FloatToString(-1.0f), "-1.0"); } TEST(FloatToStringTest, Billion) { EXPECT_EQ(FloatToString(1e9f), "1000000000.0"); } TEST(FloatToStringTest, Small) { EXPECT_NE(FloatToString(std::numeric_limits::epsilon()), "0.0"); } TEST(FloatToStringTest, Highest) { const auto highest = std::numeric_limits::max(); const auto expected_highest = 340282346638528859811704183484516925440.0f; if (highest < expected_highest || highest > expected_highest) { GTEST_SKIP() << "std::numeric_limits::max() is not as expected for " "this target"; } EXPECT_EQ(FloatToString(std::numeric_limits::max()), "340282346638528859811704183484516925440.0"); } TEST(FloatToStringTest, Lowest) { // Some compilers complain if you test floating point numbers for equality. // So say it via two inequalities. const auto lowest = std::numeric_limits::lowest(); const auto expected_lowest = -340282346638528859811704183484516925440.0f; if (lowest < expected_lowest || lowest > expected_lowest) { GTEST_SKIP() << "std::numeric_limits::lowest() is not as expected for " "this target"; } EXPECT_EQ(FloatToString(std::numeric_limits::lowest()), "-340282346638528859811704183484516925440.0"); } TEST(FloatToStringTest, Precision) { EXPECT_EQ(FloatToString(1e-8f), "0.00000001"); EXPECT_EQ(FloatToString(1e-9f), "0.000000001"); EXPECT_EQ(FloatToString(1e-10f), "1.00000001e-10"); EXPECT_EQ(FloatToString(1e-20f), "9.99999968e-21"); } // FloatToBitPreservingString // // First replicate the tests for FloatToString TEST(FloatToBitPreservingStringTest, Zero) { EXPECT_EQ(FloatToBitPreservingString(0.0f), "0.0"); } TEST(FloatToBitPreservingStringTest, One) { EXPECT_EQ(FloatToBitPreservingString(1.0f), "1.0"); } TEST(FloatToBitPreservingStringTest, MinusOne) { EXPECT_EQ(FloatToBitPreservingString(-1.0f), "-1.0"); } TEST(FloatToBitPreservingStringTest, Billion) { EXPECT_EQ(FloatToBitPreservingString(1e9f), "1000000000.0"); } TEST(FloatToBitPreservingStringTest, Small) { EXPECT_NE(FloatToBitPreservingString(std::numeric_limits::epsilon()), "0.0"); } TEST(FloatToBitPreservingStringTest, Highest) { const auto highest = std::numeric_limits::max(); const auto expected_highest = 340282346638528859811704183484516925440.0f; if (highest < expected_highest || highest > expected_highest) { GTEST_SKIP() << "std::numeric_limits::max() is not as expected for " "this target"; } EXPECT_EQ(FloatToBitPreservingString(std::numeric_limits::max()), "340282346638528859811704183484516925440.0"); } TEST(FloatToBitPreservingStringTest, Lowest) { // Some compilers complain if you test floating point numbers for equality. // So say it via two inequalities. const auto lowest = std::numeric_limits::lowest(); const auto expected_lowest = -340282346638528859811704183484516925440.0f; if (lowest < expected_lowest || lowest > expected_lowest) { GTEST_SKIP() << "std::numeric_limits::lowest() is not as expected for " "this target"; } EXPECT_EQ(FloatToBitPreservingString(std::numeric_limits::lowest()), "-340282346638528859811704183484516925440.0"); } // Special cases for bit-preserving output. TEST(FloatToBitPreservingStringTest, NegativeZero) { EXPECT_EQ(FloatToBitPreservingString(std::copysign(0.0f, -5.0f)), "-0.0"); } TEST(FloatToBitPreservingStringTest, ZeroAsBits) { EXPECT_EQ(FloatToBitPreservingString(MakeFloat(0, 0, 0)), "0.0"); EXPECT_EQ(FloatToBitPreservingString(MakeFloat(1, 0, 0)), "-0.0"); } TEST(FloatToBitPreservingStringTest, OneBits) { EXPECT_EQ(FloatToBitPreservingString(MakeFloat(0, 127, 0)), "1.0"); EXPECT_EQ(FloatToBitPreservingString(MakeFloat(1, 127, 0)), "-1.0"); } TEST(FloatToBitPreservingStringTest, SmallestDenormal) { EXPECT_EQ(FloatToBitPreservingString(MakeFloat(0, 0, 1)), "0x1p-149"); EXPECT_EQ(FloatToBitPreservingString(MakeFloat(1, 0, 1)), "-0x1p-149"); } TEST(FloatToBitPreservingStringTest, BiggerDenormal) { EXPECT_EQ(FloatToBitPreservingString(MakeFloat(0, 0, 2)), "0x1p-148"); EXPECT_EQ(FloatToBitPreservingString(MakeFloat(1, 0, 2)), "-0x1p-148"); } TEST(FloatToBitPreservingStringTest, LargestDenormal) { EXPECT_EQ(FloatToBitPreservingString(MakeFloat(0, 0, 0x7fffff)), "0x1.fffffcp-127"); } TEST(FloatToBitPreservingStringTest, Subnormal_cafebe) { EXPECT_EQ(FloatToBitPreservingString(MakeFloat(0, 0, 0xcafebe)), "0x1.2bfaf8p-127"); EXPECT_EQ(FloatToBitPreservingString(MakeFloat(1, 0, 0xcafebe)), "-0x1.2bfaf8p-127"); } TEST(FloatToBitPreservingStringTest, Subnormal_aaaaa) { EXPECT_EQ(FloatToBitPreservingString(MakeFloat(0, 0, 0xaaaaa)), "0x1.55554p-130"); EXPECT_EQ(FloatToBitPreservingString(MakeFloat(1, 0, 0xaaaaa)), "-0x1.55554p-130"); } TEST(FloatToBitPreservingStringTest, Infinity) { EXPECT_EQ(FloatToBitPreservingString(MakeFloat(0, 255, 0)), "0x1p+128"); EXPECT_EQ(FloatToBitPreservingString(MakeFloat(1, 255, 0)), "-0x1p+128"); } // TODO(dneto): It's unclear how Infinity and NaN should be handled. // https://github.com/gpuweb/gpuweb/issues/1769 // Windows x86-64 sets the high mantissa bit on NaNs. // Disable NaN tests for now. TEST(FloatToBitPreservingStringTest, DISABLED_NaN_MsbOnly) { EXPECT_EQ(FloatToBitPreservingString(MakeFloat(0, 255, 0x400000)), "0x1.8p+128"); EXPECT_EQ(FloatToBitPreservingString(MakeFloat(1, 255, 0x400000)), "-0x1.8p+128"); } TEST(FloatToBitPreservingStringTest, DISABLED_NaN_LsbOnly) { EXPECT_EQ(FloatToBitPreservingString(MakeFloat(0, 255, 0x1)), "0x1.000002p+128"); EXPECT_EQ(FloatToBitPreservingString(MakeFloat(1, 255, 0x1)), "-0x1.000002p+128"); } TEST(FloatToBitPreservingStringTest, DISABLED_NaN_NonMsb) { EXPECT_EQ(FloatToBitPreservingString(MakeFloat(0, 255, 0x20101f)), "0x1.40203ep+128"); EXPECT_EQ(FloatToBitPreservingString(MakeFloat(1, 255, 0x20101f)), "-0x1.40203ep+128"); } } // namespace } // namespace tint::writer