| //===-- Unittests for fma ------------------------------------------------===// |
| // |
| // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. |
| // See https://llvm.org/LICENSE.txt for license information. |
| // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception |
| // |
| //===----------------------------------------------------------------------===// |
| |
| #include "FmaTest.h" |
| |
| #include "src/math/fma.h" |
| |
| struct Inputs { |
| double a, b, c; |
| }; |
| |
| struct LlvmLibcFmaTest : public FmaTestTemplate<double> { |
| void test_more_values() { |
| constexpr int N = 236; |
| constexpr Inputs INPUTS[N] = { |
| {0x1p+0, 0x2p+0, 0x3p+0}, |
| {0x1.4p+0, 0xcp-4, 0x1p-4}, |
| {0x0p+0, 0x0p+0, 0x0p+0}, |
| {0x1p+0, 0x0p+0, 0x0p+0}, |
| {0x0p+0, 0x1p+0, 0x0p+0}, |
| {0x1p+0, 0x1p+0, 0x1p+0}, |
| {0x0p+0, 0x0p+0, 0x1p+0}, |
| {0x0p+0, 0x0p+0, 0x2p+0}, |
| {0x0p+0, 0x0p+0, 0xf.fffffp+124}, |
| {0x0p+0, 0x0p+0, 0xf.ffffffffffff8p+1020}, |
| {0x0p+0, 0x1p+0, 0x1p+0}, |
| {0x1p+0, 0x0p+0, 0x1p+0}, |
| {0x0p+0, 0x1p+0, 0x2p+0}, |
| {0x1p+0, 0x0p+0, 0x2p+0}, |
| {0x0p+0, 0x1p+0, 0xf.fffffp+124}, |
| {0x0p+0, 0x1p+0, 0xf.ffffffffffff8p+1020}, |
| {0x1p+0, 0x0p+0, 0xf.fffffp+124}, |
| {0x1p+0, 0x0p+0, 0xf.ffffffffffff8p+1020}, |
| {0x4p-128, 0x4p-128, 0x0p+0}, |
| {0x4p-128, 0x4p-1024, 0x0p+0}, |
| {0x4p-128, 0x8p-972, 0x0p+0}, |
| {0x4p-1024, 0x4p-128, 0x0p+0}, |
| {0x4p-1024, 0x4p-1024, 0x0p+0}, |
| {0x4p-1024, 0x8p-972, 0x0p+0}, |
| {0x8p-972, 0x4p-128, 0x0p+0}, |
| {0x8p-972, 0x4p-1024, 0x0p+0}, |
| {0x8p-972, 0x8p-972, 0x0p+0}, |
| {0x4p-128, 0x4p-128, 0x0p+0}, |
| {0x4p-128, 0x4p-1024, 0x0p+0}, |
| {0x4p-128, 0x8p-972, 0x0p+0}, |
| {0x4p-1024, 0x4p-128, 0x0p+0}, |
| {0x4p-1024, 0x4p-1024, 0x0p+0}, |
| {0x4p-1024, 0x8p-972, 0x0p+0}, |
| {0x8p-972, 0x4p-128, 0x0p+0}, |
| {0x8p-972, 0x4p-1024, 0x0p+0}, |
| {0x8p-972, 0x8p-972, 0x0p+0}, |
| {0x4p-128, 0x4p-128, 0x0p+0}, |
| {0x4p-128, 0x4p-1024, 0x0p+0}, |
| {0x4p-128, 0x8p-972, 0x0p+0}, |
| {0x4p-1024, 0x4p-128, 0x0p+0}, |
| {0x4p-1024, 0x4p-1024, 0x0p+0}, |
| {0x4p-1024, 0x8p-972, 0x0p+0}, |
| {0x8p-972, 0x4p-128, 0x0p+0}, |
| {0x8p-972, 0x4p-1024, 0x0p+0}, |
| {0x8p-972, 0x8p-972, 0x0p+0}, |
| {0x4p-128, 0x4p-128, 0x0p+0}, |
| {0x4p-128, 0x4p-1024, 0x0p+0}, |
| {0x4p-128, 0x8p-972, 0x0p+0}, |
| {0x4p-1024, 0x4p-128, 0x0p+0}, |
| {0x4p-1024, 0x4p-1024, 0x0p+0}, |
| {0x4p-1024, 0x8p-972, 0x0p+0}, |
| {0x8p-972, 0x4p-128, 0x0p+0}, |
| {0x8p-972, 0x4p-1024, 0x0p+0}, |
| {0x8p-972, 0x8p-972, 0x0p+0}, |
| {0x4p-128, 0x4p-128, 0x0p+0}, |
| {0x4p-128, 0x4p-1024, 0x0p+0}, |
| {0x4p-128, 0x8p-972, 0x0p+0}, |
| {0x4p-1024, 0x4p-128, 0x0p+0}, |
| {0x4p-1024, 0x4p-1024, 0x0p+0}, |
| {0x4p-1024, 0x8p-972, 0x0p+0}, |
| {0x8p-972, 0x4p-128, 0x0p+0}, |
| {0x8p-972, 0x4p-1024, 0x0p+0}, |
| {0x8p-972, 0x8p-972, 0x0p+0}, |
| {0x4p-128, 0x4p-128, 0x0p+0}, |
| {0x4p-128, 0x4p-1024, 0x0p+0}, |
| {0x4p-128, 0x8p-972, 0x0p+0}, |
| {0x4p-1024, 0x4p-128, 0x0p+0}, |
| {0x4p-1024, 0x4p-1024, 0x0p+0}, |
| {0x4p-1024, 0x8p-972, 0x0p+0}, |
| {0x8p-972, 0x4p-128, 0x0p+0}, |
| {0x8p-972, 0x4p-1024, 0x0p+0}, |
| {0x8p-972, 0x8p-972, 0x0p+0}, |
| {0x4p-128, 0x4p-128, 0x0p+0}, |
| {0x4p-128, 0x4p-1024, 0x0p+0}, |
| {0x4p-128, 0x8p-972, 0x0p+0}, |
| {0x4p-1024, 0x4p-128, 0x0p+0}, |
| {0x4p-1024, 0x4p-1024, 0x0p+0}, |
| {0x4p-1024, 0x8p-972, 0x0p+0}, |
| {0x8p-972, 0x4p-128, 0x0p+0}, |
| {0x8p-972, 0x4p-1024, 0x0p+0}, |
| {0x8p-972, 0x8p-972, 0x0p+0}, |
| {0x4p-128, 0x4p-128, 0x0p+0}, |
| {0x4p-128, 0x4p-1024, 0x0p+0}, |
| {0x4p-128, 0x8p-972, 0x0p+0}, |
| {0x4p-1024, 0x4p-128, 0x0p+0}, |
| {0x4p-1024, 0x4p-1024, 0x0p+0}, |
| {0x4p-1024, 0x8p-972, 0x0p+0}, |
| {0x8p-972, 0x4p-128, 0x0p+0}, |
| {0x8p-972, 0x4p-1024, 0x0p+0}, |
| {0x8p-972, 0x8p-972, 0x0p+0}, |
| {0xf.fffffp+124, 0xf.fffffp+124, 0x4p-128}, |
| {0xf.fffffp+124, 0xf.fffffp+124, 0x4p-1024}, |
| {0xf.fffffp+124, 0xf.fffffp+124, 0x8p-972}, |
| {0xf.fffffp+124, 0xf.ffffffffffff8p+1020, 0x4p-128}, |
| {0xf.fffffp+124, 0xf.ffffffffffff8p+1020, 0x4p-1024}, |
| {0xf.fffffp+124, 0xf.ffffffffffff8p+1020, 0x8p-972}, |
| {0xf.ffffffffffff8p+1020, 0xf.fffffp+124, 0x4p-128}, |
| {0xf.ffffffffffff8p+1020, 0xf.fffffp+124, 0x4p-1024}, |
| {0xf.ffffffffffff8p+1020, 0xf.fffffp+124, 0x8p-972}, |
| {0xf.ffffffffffff8p+1020, 0xf.ffffffffffff8p+1020, 0x4p-128}, |
| {0xf.ffffffffffff8p+1020, 0xf.ffffffffffff8p+1020, 0x4p-1024}, |
| {0xf.ffffffffffff8p+1020, 0xf.ffffffffffff8p+1020, 0x8p-972}, |
| {0xf.fffffp+124, 0xf.fffffp+124, 0x4p-128}, |
| {0xf.fffffp+124, 0xf.fffffp+124, 0x4p-1024}, |
| {0xf.fffffp+124, 0xf.fffffp+124, 0x8p-972}, |
| {0xf.fffffp+124, 0xf.ffffffffffff8p+1020, 0x4p-128}, |
| {0xf.fffffp+124, 0xf.ffffffffffff8p+1020, 0x4p-1024}, |
| {0xf.fffffp+124, 0xf.ffffffffffff8p+1020, 0x8p-972}, |
| {0xf.ffffffffffff8p+1020, 0xf.fffffp+124, 0x4p-128}, |
| {0xf.ffffffffffff8p+1020, 0xf.fffffp+124, 0x4p-1024}, |
| {0xf.ffffffffffff8p+1020, 0xf.fffffp+124, 0x8p-972}, |
| {0xf.ffffffffffff8p+1020, 0xf.ffffffffffff8p+1020, 0x4p-128}, |
| {0xf.ffffffffffff8p+1020, 0xf.ffffffffffff8p+1020, 0x4p-1024}, |
| {0xf.ffffffffffff8p+1020, 0xf.ffffffffffff8p+1020, 0x8p-972}, |
| {0xf.fffffp+124, 0xf.fffffp+124, 0x4p-128}, |
| {0xf.fffffp+124, 0xf.fffffp+124, 0x4p-1024}, |
| {0xf.fffffp+124, 0xf.fffffp+124, 0x8p-972}, |
| {0xf.fffffp+124, 0xf.ffffffffffff8p+1020, 0x4p-128}, |
| {0xf.fffffp+124, 0xf.ffffffffffff8p+1020, 0x4p-1024}, |
| {0xf.fffffp+124, 0xf.ffffffffffff8p+1020, 0x8p-972}, |
| {0xf.ffffffffffff8p+1020, 0xf.fffffp+124, 0x4p-128}, |
| {0xf.ffffffffffff8p+1020, 0xf.fffffp+124, 0x4p-1024}, |
| {0xf.ffffffffffff8p+1020, 0xf.fffffp+124, 0x8p-972}, |
| {0xf.ffffffffffff8p+1020, 0xf.ffffffffffff8p+1020, 0x4p-128}, |
| {0xf.ffffffffffff8p+1020, 0xf.ffffffffffff8p+1020, 0x4p-1024}, |
| {0xf.ffffffffffff8p+1020, 0xf.ffffffffffff8p+1020, 0x8p-972}, |
| {0xf.fffffp+124, 0xf.fffffp+124, 0x4p-128}, |
| {0xf.fffffp+124, 0xf.fffffp+124, 0x4p-1024}, |
| {0xf.fffffp+124, 0xf.fffffp+124, 0x8p-972}, |
| {0xf.fffffp+124, 0xf.ffffffffffff8p+1020, 0x4p-128}, |
| {0xf.fffffp+124, 0xf.ffffffffffff8p+1020, 0x4p-1024}, |
| {0xf.fffffp+124, 0xf.ffffffffffff8p+1020, 0x8p-972}, |
| {0xf.ffffffffffff8p+1020, 0xf.fffffp+124, 0x4p-128}, |
| {0xf.ffffffffffff8p+1020, 0xf.fffffp+124, 0x4p-1024}, |
| {0xf.ffffffffffff8p+1020, 0xf.fffffp+124, 0x8p-972}, |
| {0xf.ffffffffffff8p+1020, 0xf.ffffffffffff8p+1020, 0x4p-128}, |
| {0xf.ffffffffffff8p+1020, 0xf.ffffffffffff8p+1020, 0x4p-1024}, |
| {0xf.ffffffffffff8p+1020, 0xf.ffffffffffff8p+1020, 0x8p-972}, |
| {0xf.fffffp+124, 0xf.fffffp+124, 0x4p-128}, |
| {0xf.fffffp+124, 0xf.fffffp+124, 0x4p-1024}, |
| {0xf.fffffp+124, 0xf.fffffp+124, 0x8p-972}, |
| {0xf.fffffp+124, 0xf.ffffffffffff8p+1020, 0x4p-128}, |
| {0xf.fffffp+124, 0xf.ffffffffffff8p+1020, 0x4p-1024}, |
| {0xf.fffffp+124, 0xf.ffffffffffff8p+1020, 0x8p-972}, |
| {0xf.ffffffffffff8p+1020, 0xf.fffffp+124, 0x4p-128}, |
| {0xf.ffffffffffff8p+1020, 0xf.fffffp+124, 0x4p-1024}, |
| {0xf.ffffffffffff8p+1020, 0xf.fffffp+124, 0x8p-972}, |
| {0xf.ffffffffffff8p+1020, 0xf.ffffffffffff8p+1020, 0x4p-128}, |
| {0xf.ffffffffffff8p+1020, 0xf.ffffffffffff8p+1020, 0x4p-1024}, |
| {0xf.ffffffffffff8p+1020, 0xf.ffffffffffff8p+1020, 0x8p-972}, |
| {0xf.fffffp+124, 0xf.fffffp+124, 0x4p-128}, |
| {0xf.fffffp+124, 0xf.fffffp+124, 0x4p-1024}, |
| {0xf.fffffp+124, 0xf.fffffp+124, 0x8p-972}, |
| {0xf.fffffp+124, 0xf.ffffffffffff8p+1020, 0x4p-128}, |
| {0xf.fffffp+124, 0xf.ffffffffffff8p+1020, 0x4p-1024}, |
| {0xf.fffffp+124, 0xf.ffffffffffff8p+1020, 0x8p-972}, |
| {0xf.ffffffffffff8p+1020, 0xf.fffffp+124, 0x4p-128}, |
| {0xf.ffffffffffff8p+1020, 0xf.fffffp+124, 0x4p-1024}, |
| {0xf.ffffffffffff8p+1020, 0xf.fffffp+124, 0x8p-972}, |
| {0xf.ffffffffffff8p+1020, 0xf.ffffffffffff8p+1020, 0x4p-128}, |
| {0xf.ffffffffffff8p+1020, 0xf.ffffffffffff8p+1020, 0x4p-1024}, |
| {0xf.ffffffffffff8p+1020, 0xf.ffffffffffff8p+1020, 0x8p-972}, |
| {0xf.fffffp+124, 0xf.fffffp+124, 0x4p-128}, |
| {0xf.fffffp+124, 0xf.fffffp+124, 0x4p-1024}, |
| {0xf.fffffp+124, 0xf.fffffp+124, 0x8p-972}, |
| {0xf.fffffp+124, 0xf.ffffffffffff8p+1020, 0x4p-128}, |
| {0xf.fffffp+124, 0xf.ffffffffffff8p+1020, 0x4p-1024}, |
| {0xf.fffffp+124, 0xf.ffffffffffff8p+1020, 0x8p-972}, |
| {0xf.ffffffffffff8p+1020, 0xf.fffffp+124, 0x4p-128}, |
| {0xf.ffffffffffff8p+1020, 0xf.fffffp+124, 0x4p-1024}, |
| {0xf.ffffffffffff8p+1020, 0xf.fffffp+124, 0x8p-972}, |
| {0xf.ffffffffffff8p+1020, 0xf.ffffffffffff8p+1020, 0x4p-128}, |
| {0xf.ffffffffffff8p+1020, 0xf.ffffffffffff8p+1020, 0x4p-1024}, |
| {0xf.ffffffffffff8p+1020, 0xf.ffffffffffff8p+1020, 0x8p-972}, |
| {0xf.fffffp+124, 0xf.fffffp+124, 0x4p-128}, |
| {0xf.fffffp+124, 0xf.fffffp+124, 0x4p-1024}, |
| {0xf.fffffp+124, 0xf.fffffp+124, 0x8p-972}, |
| {0xf.fffffp+124, 0xf.ffffffffffff8p+1020, 0x4p-128}, |
| {0xf.fffffp+124, 0xf.ffffffffffff8p+1020, 0x4p-1024}, |
| {0xf.fffffp+124, 0xf.ffffffffffff8p+1020, 0x8p-972}, |
| {0xf.ffffffffffff8p+1020, 0xf.fffffp+124, 0x4p-128}, |
| {0xf.ffffffffffff8p+1020, 0xf.fffffp+124, 0x4p-1024}, |
| {0xf.ffffffffffff8p+1020, 0xf.fffffp+124, 0x8p-972}, |
| {0xf.ffffffffffff8p+1020, 0xf.ffffffffffff8p+1020, 0x4p-128}, |
| {0xf.ffffffffffff8p+1020, 0xf.ffffffffffff8p+1020, 0x4p-1024}, |
| {0xf.ffffffffffff8p+1020, 0xf.ffffffffffff8p+1020, 0x8p-972}, |
| {0x2.fffp+12, 0x1.000002p+0, 0x1.ffffp-24}, |
| {0x1.fffp+0, 0x1.00001p+0, 0x1.fffp+0}, |
| {0xc.d5e6fp+124, 0x2.6af378p-128, 0x1.f08948p+0}, |
| {0x1.9abcdep+100, 0x2.6af378p-128, 0x3.e1129p-28}, |
| {0xf.fffffp+124, 0x1.001p+0, 0xf.fffffp+124}, |
| {0xf.fffffp+124, 0x1.fffffep+0, 0xf.fffffp+124}, |
| {0xf.fffffp+124, 0x2p+0, 0xf.fffffp+124}, |
| {0x5p-128, 0x8.00002p-4, 0x1p-128}, |
| {0x7.ffffep-128, 0x8.00001p-4, 0x8p-152}, |
| {0x8p-152, 0x8p-4, 0x3.fffff8p-128}, |
| {0x8p-152, 0x8.8p-4, 0x3.fffff8p-128}, |
| {0x8p-152, 0x8p-152, 0x8p+124}, |
| {0x8p-152, 0x8p-152, 0x4p-128}, |
| {0x8p-152, 0x8p-152, 0x3.fffff8p-128}, |
| {0x8p-152, 0x8p-152, 0x8p-152}, |
| {0xf.ffp-4, 0xf.ffp-4, 0xf.fep-4}, |
| {0x4.000008p-128, 0x4.000008p-28, 0x8p+124}, |
| {0x4.000008p-128, 0x4.000008p-28, 0x8p+100}, |
| {0x2.fep+12, 0x1.0000000000001p+0, 0x1.ffep-48}, |
| {0x1.fffp+0, 0x1.0000000000001p+0, 0x1.fffp+0}, |
| {0x1.0000002p+0, 0xf.fffffep-4, 0x1p-300}, |
| {0xe.f56df7797f768p+1020, 0x3.7ab6fbbcbfbb4p-1024, |
| 0x3.40bf1803497f6p+0}, |
| {0x1.deadbeef2feedp+900, 0x3.7ab6fbbcbfbb4p-1024, |
| 0x6.817e300692fecp-124}, |
| {0xf.ffffffffffff8p+1020, 0x1.001p+0, 0xf.ffffffffffff8p+1020}, |
| {0xf.ffffffffffff8p+1020, 0x1.fffffffffffffp+0, |
| 0xf.ffffffffffff8p+1020}, |
| {0xf.ffffffffffff8p+1020, 0x2p+0, 0xf.ffffffffffff8p+1020}, |
| {0x5.a827999fcef3p-540, 0x5.a827999fcef3p-540, 0x0p+0}, |
| {0x3.bd5b7dde5fddap-496, 0x3.bd5b7dde5fddap-496, 0xd.fc352bc352bap-992}, |
| {0x3.bd5b7dde5fddap-504, 0x3.bd5b7dde5fddap-504, |
| 0xd.fc352bc352bap-1008}, |
| {0x8p-540, 0x4p-540, 0x4p-1076}, |
| {0x1.7fffff8p-968, 0x4p-108, 0x4p-1048}, |
| {0x2.8000008p-968, 0x4p-108, 0x4p-1048}, |
| {0x2.8p-968, 0x4p-108, 0x4p-1048}, |
| {0x2.33956cdae7c2ep-960, 0x3.8e211518bfea2p-108, |
| 0x2.02c2b59766d9p-1024}, |
| {0x3.a5d5dadd1d3a6p-980, 0x2.9c0cd8c5593bap-64, 0x2.49179ac00d15p-1024}, |
| {0x2.2a7aca1773e0cp-908, 0x9.6809186a42038p-128, 0x2.c9e356b3f0fp-1024}, |
| {0x3.ffffffffffffep-712, 0x3.ffffffffffffep-276, |
| 0x3.fffffc0000ffep-984}, |
| {0x5p-1024, 0x8.000000000001p-4, 0x1p-1024}, |
| {0x7.ffffffffffffp-1024, 0x8.0000000000008p-4, 0x4p-1076}, |
| {0x4p-1076, 0x8p-4, 0x3.ffffffffffffcp-1024}, |
| {0x4p-1076, 0x8.8p-4, 0x3.ffffffffffffcp-1024}, |
| {0x4p-1076, 0x4p-1076, 0x8p+1020}, |
| {0x4p-1076, 0x4p-1076, 0x4p-1024}, |
| {0x4p-1076, 0x4p-1076, 0x3.ffffffffffffcp-1024}, |
| {0x4p-1076, 0x4p-1076, 0x4p-1076}, |
| {0xf.ffffffffffff8p-4, 0xf.ffffffffffff8p-4, 0xf.ffffffffffffp-4}, |
| {0x4.0000000000004p-1024, 0x2.0000000000002p-56, 0x8p+1020}, |
| {0x4.0000000000004p-1024, 0x2.0000000000002p-56, 0x4p+968}, |
| {0x7.fffff8p-128, 0x3.fffffcp+24, 0xf.fffffp+124}, |
| {0x7.ffffffffffffcp-1024, 0x7.ffffffffffffcp+52, |
| 0xf.ffffffffffff8p+1020}, |
| }; |
| |
| for (int i = 0; i < N; ++i) { |
| for (int signs = 0; signs < 7; ++signs) { |
| double a = (signs & 4) ? -INPUTS[i].a : INPUTS[i].a; |
| double b = (signs & 2) ? -INPUTS[i].b : INPUTS[i].b; |
| double c = (signs & 1) ? -INPUTS[i].c : INPUTS[i].c; |
| mpfr::TernaryInput<double> input{a, b, c}; |
| ASSERT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Fma, input, |
| LIBC_NAMESPACE::fma(a, b, c), 0.5); |
| } |
| } |
| } |
| }; |
| |
| TEST_F(LlvmLibcFmaTest, SpecialNumbers) { |
| test_special_numbers(&LIBC_NAMESPACE::fma); |
| } |
| |
| TEST_F(LlvmLibcFmaTest, SubnormalRange) { |
| test_subnormal_range(&LIBC_NAMESPACE::fma); |
| } |
| |
| TEST_F(LlvmLibcFmaTest, NormalRange) { |
| test_normal_range(&LIBC_NAMESPACE::fma); |
| } |
| |
| TEST_F(LlvmLibcFmaTest, ExtraValues) { test_more_values(); } |
