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| 1 | +#include <c10/util/BFloat16.h> |
| 2 | +#include <gtest/gtest.h> |
| 3 | + |
| 4 | +namespace { |
| 5 | + float float_from_bytes( |
| 6 | + uint32_t sign, |
| 7 | + uint32_t exponent, |
| 8 | + uint32_t fraction |
| 9 | + ) { |
| 10 | + uint32_t bytes; |
| 11 | + bytes = 0; |
| 12 | + bytes |= sign; |
| 13 | + bytes <<= 8; |
| 14 | + bytes |= exponent; |
| 15 | + bytes <<= 23; |
| 16 | + bytes |= fraction; |
| 17 | + |
| 18 | + float res; |
| 19 | + std::memcpy(&res, &bytes, sizeof(res)); |
| 20 | + return res; |
| 21 | + } |
| 22 | + |
| 23 | + TEST(BFloat16Conversion, FloatToBFloat16AndBack) { |
| 24 | + float in[100]; |
| 25 | + for (int i = 0; i < 100; ++i) { |
| 26 | + in[i] = i + 1.25; |
| 27 | + } |
| 28 | + |
| 29 | + c10::BFloat16 bfloats[100]; |
| 30 | + float out[100]; |
| 31 | + |
| 32 | + for (int i = 0; i < 100; ++i) { |
| 33 | + bfloats[i].x = c10::detail::bits_from_f32(in[i]); |
| 34 | + out[i] = c10::detail::f32_from_bits(bfloats[i].x); |
| 35 | + |
| 36 | + // The relative error should be less than 1/(2^7) since bfloat16 |
| 37 | + // has 7 bits mantissa. |
| 38 | + EXPECT_LE(fabs(out[i] - in[i]) / in[i], 1.0 / 128); |
| 39 | + } |
| 40 | + } |
| 41 | + |
| 42 | + TEST(BFloat16Conversion, NaN) { |
| 43 | + float inNaN = float_from_bytes(0, 0xFF, 0x7FFFFF); |
| 44 | + EXPECT_TRUE(std::isnan(inNaN)); |
| 45 | + |
| 46 | + c10::BFloat16 a = c10::BFloat16(inNaN); |
| 47 | + float out = c10::detail::f32_from_bits(a.x); |
| 48 | + |
| 49 | + EXPECT_TRUE(std::isnan(out)); |
| 50 | + } |
| 51 | + |
| 52 | + TEST(BFloat16Conversion, Inf) { |
| 53 | + float inInf = float_from_bytes(0, 0xFF, 0); |
| 54 | + EXPECT_TRUE(std::isinf(inInf)); |
| 55 | + |
| 56 | + c10::BFloat16 a = c10::BFloat16(inInf); |
| 57 | + float out = c10::detail::f32_from_bits(a.x); |
| 58 | + |
| 59 | + EXPECT_TRUE(std::isinf(out)); |
| 60 | + } |
| 61 | + |
| 62 | + TEST(BFloat16Conversion, SmallestDenormal) { |
| 63 | + float in = std::numeric_limits<float>::denorm_min(); // The smallest non-zero subnormal number |
| 64 | + c10::BFloat16 a = c10::BFloat16(in); |
| 65 | + float out = c10::detail::f32_from_bits(a.x); |
| 66 | + |
| 67 | + EXPECT_FLOAT_EQ(in, out); |
| 68 | + } |
| 69 | +} // namespace |
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