//===-- Unittests for e^x - 1 ---------------------------------------------===// // // 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 "hdr/math_macros.h" #include "src/__support/FPUtil/FPBits.h" #include "src/errno/libc_errno.h" #include "src/math/expm1.h" #include "test/UnitTest/FPMatcher.h" #include "test/UnitTest/Test.h" #include "utils/MPFRWrapper/MPFRUtils.h" #include using LlvmLibcExpm1Test = LIBC_NAMESPACE::testing::FPTest; namespace mpfr = LIBC_NAMESPACE::testing::mpfr; using LIBC_NAMESPACE::testing::tlog; TEST_F(LlvmLibcExpm1Test, TrickyInputs) { constexpr double INPUTS[] = { 0x1.71547652b82fep-54, 0x1.465655f122ff6p-49, 0x1.bc8ee6b28659ap-46, 0x1.8442b169f672dp-14, 0x1.9a61fb925970dp-14, 0x1.eb7a4cb841fccp-14, 0x1.05de80a173eap-2, 0x1.79289c6e6a5cp-2, 0x1.a7b764e2cf47ap-2, 0x1.b4f0cfb15ca0fp+3, 0x1.9a74cdab36c28p+4, 0x1.2b708872320ddp+5, 0x1.4c19e5712e377p+5, 0x1.757852a4b93aap+5, 0x1.77f74111e0894p+6, 0x1.a6c3780bbf824p+6, 0x1.e3d57e4c557f6p+6, 0x1.f07560077985ap+6, 0x1.1f0da93354198p+7, 0x1.71018579c0758p+7, 0x1.204684c1167e9p+8, 0x1.5b3e4e2e3bba9p+9, 0x1.6232c09d58d91p+9, 0x1.67a172ceb099p+9, 0x1.6960d591aec34p+9, 0x1.74910d52d3051p+9, 0x1.ff8p+9, }; constexpr int N = sizeof(INPUTS) / sizeof(INPUTS[0]); for (int i = 0; i < N; ++i) { double x = INPUTS[i]; EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Expm1, x, LIBC_NAMESPACE::expm1(x), 0.5); EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Expm1, -x, LIBC_NAMESPACE::expm1(-x), 0.5); } } TEST_F(LlvmLibcExpm1Test, InDoubleRange) { constexpr uint64_t COUNT = 1'231; uint64_t START = LIBC_NAMESPACE::fputil::FPBits(0.25).uintval(); uint64_t STOP = LIBC_NAMESPACE::fputil::FPBits(4.0).uintval(); uint64_t STEP = (STOP - START) / COUNT; auto test = [&](mpfr::RoundingMode rounding_mode) { mpfr::ForceRoundingMode __r(rounding_mode); if (!__r.success) return; uint64_t fails = 0; uint64_t count = 0; uint64_t cc = 0; double mx, mr = 0.0; double tol = 0.5; for (uint64_t i = 0, v = START; i <= COUNT; ++i, v += STEP) { double x = FPBits(v).get_val(); if (FPBits(v).is_nan() || FPBits(v).is_inf() || x < 0.0) continue; LIBC_NAMESPACE::libc_errno = 0; double result = LIBC_NAMESPACE::expm1(x); ++cc; if (FPBits(result).is_nan() || FPBits(result).is_inf()) continue; ++count; if (!TEST_MPFR_MATCH_ROUNDING_SILENTLY(mpfr::Operation::Expm1, x, result, 0.5, rounding_mode)) { ++fails; while (!TEST_MPFR_MATCH_ROUNDING_SILENTLY(mpfr::Operation::Expm1, x, result, tol, rounding_mode)) { mx = x; mr = result; if (tol > 1000.0) break; tol *= 2.0; } } } if (fails) { tlog << " Expm1 failed: " << fails << "/" << count << "/" << cc << " tests.\n"; tlog << " Max ULPs is at most: " << static_cast(tol) << ".\n"; EXPECT_MPFR_MATCH(mpfr::Operation::Expm1, mx, mr, 0.5, rounding_mode); } }; tlog << " Test Rounding To Nearest...\n"; test(mpfr::RoundingMode::Nearest); tlog << " Test Rounding Downward...\n"; test(mpfr::RoundingMode::Downward); tlog << " Test Rounding Upward...\n"; test(mpfr::RoundingMode::Upward); tlog << " Test Rounding Toward Zero...\n"; test(mpfr::RoundingMode::TowardZero); }