X-Git-Url: https://git.sesse.net/?p=movit;a=blobdiff_plain;f=fp16_test.cpp;h=e0920e9ce60bf499bb636ac4c7ab8eac9b2b1b5c;hp=d5d7fc04c22396a48fc7bbf73b239629f6fd39e6;hb=6f1efa8348a90a393187c12d70fd10d81bbd2c99;hpb=82464681eca54bf11be3ca53eed20841ff6eb204 diff --git a/fp16_test.cpp b/fp16_test.cpp index d5d7fc0..e0920e9 100644 --- a/fp16_test.cpp +++ b/fp16_test.cpp @@ -4,21 +4,48 @@ #include namespace movit { +namespace { + +fp16_int_t make_fp16(unsigned short x) +{ + fp16_int_t ret; + ret.val = x; + return ret; +} + +fp32_int_t make_fp32(unsigned int x) +{ + fp32_int_t ret; + ret.val = x; + return ret; +} + +} // namespace TEST(FP16Test, Simple) { - EXPECT_EQ(0x0000, fp64_to_fp16(0.0)); - EXPECT_DOUBLE_EQ(0.0, fp16_to_fp64(0x0000)); + EXPECT_EQ(0x0000, fp64_to_fp16(0.0).val); + EXPECT_DOUBLE_EQ(0.0, fp16_to_fp64(make_fp16(0x0000))); - EXPECT_EQ(0x3c00, fp64_to_fp16(1.0)); - EXPECT_DOUBLE_EQ(1.0, fp16_to_fp64(0x3c00)); + EXPECT_EQ(0x3c00, fp64_to_fp16(1.0).val); + EXPECT_DOUBLE_EQ(1.0, fp16_to_fp64(make_fp16(0x3c00))); - EXPECT_EQ(0x3555, fp64_to_fp16(1.0 / 3.0)); - EXPECT_DOUBLE_EQ(0.333251953125, fp16_to_fp64(0x3555)); + EXPECT_EQ(0x3555, fp64_to_fp16(1.0 / 3.0).val); + EXPECT_DOUBLE_EQ(0.333251953125, fp16_to_fp64(make_fp16(0x3555))); } -TEST(FP16Test, NaN) { - EXPECT_EQ(0xfe00, fp64_to_fp16(0.0 / 0.0)); - EXPECT_TRUE(isnan(fp16_to_fp64(0xfe00))); +TEST(FP16Test, RoundToNearestEven) { + ASSERT_DOUBLE_EQ(1.0, fp16_to_fp64(make_fp16(0x3c00))); + + double x0 = fp16_to_fp64(make_fp16(0x3c00)); + double x1 = fp16_to_fp64(make_fp16(0x3c01)); + double x2 = fp16_to_fp64(make_fp16(0x3c02)); + double x3 = fp16_to_fp64(make_fp16(0x3c03)); + double x4 = fp16_to_fp64(make_fp16(0x3c04)); + + EXPECT_EQ(0x3c00, fp64_to_fp16(0.5 * (x0 + x1)).val); + EXPECT_EQ(0x3c02, fp64_to_fp16(0.5 * (x1 + x2)).val); + EXPECT_EQ(0x3c02, fp64_to_fp16(0.5 * (x2 + x3)).val); + EXPECT_EQ(0x3c04, fp64_to_fp16(0.5 * (x3 + x4)).val); } union fp64 { @@ -30,6 +57,45 @@ union fp32 { unsigned int u; }; +TEST(FP16Test, NaN) { + // Ignore the sign bit. + EXPECT_EQ(0x7e00, fp64_to_fp16(0.0 / 0.0).val & 0x7fff); + EXPECT_TRUE(isnan(fp16_to_fp64(make_fp16(0xfe00)))); + + fp64 borderline_inf; + borderline_inf.ll = 0x7ff0000000000000ull; + fp64 borderline_nan; + borderline_nan.ll = 0x7ff0000000000001ull; + + ASSERT_FALSE(isfinite(borderline_inf.f)); + ASSERT_FALSE(isnan(borderline_inf.f)); + + ASSERT_FALSE(isfinite(borderline_nan.f)); + ASSERT_TRUE(isnan(borderline_nan.f)); + + double borderline_inf_roundtrip = fp16_to_fp64(fp64_to_fp16(borderline_inf.f)); + double borderline_nan_roundtrip = fp16_to_fp64(fp64_to_fp16(borderline_nan.f)); + + EXPECT_FALSE(isfinite(borderline_inf_roundtrip)); + EXPECT_FALSE(isnan(borderline_inf_roundtrip)); + + EXPECT_FALSE(isfinite(borderline_nan_roundtrip)); + EXPECT_TRUE(isnan(borderline_nan_roundtrip)); +} + +TEST(FP16Test, Denormals) { + const double smallest_fp16_denormal = 5.9604644775390625e-08; + EXPECT_EQ(0x0001, fp64_to_fp16(smallest_fp16_denormal).val); + EXPECT_EQ(0x0000, fp64_to_fp16(0.5 * smallest_fp16_denormal).val); // Round-to-even. + EXPECT_EQ(0x0001, fp64_to_fp16(0.51 * smallest_fp16_denormal).val); + EXPECT_EQ(0x0002, fp64_to_fp16(1.5 * smallest_fp16_denormal).val); + + const double smallest_fp16_non_denormal = 6.103515625e-05; + EXPECT_EQ(0x0400, fp64_to_fp16(smallest_fp16_non_denormal).val); + EXPECT_EQ(0x0400, fp64_to_fp16(smallest_fp16_non_denormal - 0.5 * smallest_fp16_denormal).val); // Round-to-even. + EXPECT_EQ(0x03ff, fp64_to_fp16(smallest_fp16_non_denormal - smallest_fp16_denormal).val); +} + // Randomly test a large number of fp64 -> fp32 conversions, comparing // against the FPU. TEST(FP16Test, FP32ReferenceDownconvert) { @@ -44,7 +110,7 @@ TEST(FP16Test, FP32ReferenceDownconvert) { src.ll = (((unsigned long long)r1) << 33) ^ ((unsigned long long)r2 << 16) ^ r3; reference.f = float(src.f); - result.u = fp64_to_fp32(src.f); + result.u = fp64_to_fp32(src.f).val; EXPECT_EQ(isnan(result.f), isnan(reference.f)); if (!isnan(result.f)) { @@ -67,7 +133,7 @@ TEST(FP16Test, FP32ReferenceUpconvert) { src.u = ((unsigned long long)r1 << 16) ^ r2; reference.f = double(src.f); - result.f = fp32_to_fp64(src.u); + result.f = fp32_to_fp64(make_fp32(src.u)); EXPECT_EQ(isnan(result.f), isnan(reference.f)); if (!isnan(result.f)) {