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1//===-- Unittests for e^x - 1 ---------------------------------------------===//2//3// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.4// See https://llvm.org/LICENSE.txt for license information.5// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception6//7//===----------------------------------------------------------------------===//8 9#include "hdr/math_macros.h"10#include "hdr/stdint_proxy.h"11#include "src/__support/FPUtil/FPBits.h"12#include "src/__support/macros/optimization.h"13#include "src/math/expm1.h"14#include "test/UnitTest/FPMatcher.h"15#include "test/UnitTest/Test.h"16#include "utils/MPFRWrapper/MPFRUtils.h"17 18#ifdef LIBC_MATH_HAS_SKIP_ACCURATE_PASS19#define TOLERANCE 120#else21#define TOLERANCE 022#endif // LIBC_MATH_HAS_SKIP_ACCURATE_PASS23 24using LlvmLibcExpm1Test = LIBC_NAMESPACE::testing::FPTest<double>;25 26namespace mpfr = LIBC_NAMESPACE::testing::mpfr;27using LIBC_NAMESPACE::testing::tlog;28 29TEST_F(LlvmLibcExpm1Test, TrickyInputs) {30  constexpr double INPUTS[] = {31      0x1.71547652b82fep-54, 0x1.465655f122ff6p-49, 0x1.bc8ee6b28659ap-46,32      0x1.8442b169f672dp-14, 0x1.9a61fb925970dp-14, 0x1.eb7a4cb841fccp-14,33      0x1.05de80a173eap-2,   0x1.79289c6e6a5cp-2,   0x1.a7b764e2cf47ap-2,34      0x1.b4f0cfb15ca0fp+3,  0x1.9a74cdab36c28p+4,  0x1.2b708872320ddp+5,35      0x1.4c19e5712e377p+5,  0x1.757852a4b93aap+5,  0x1.77f74111e0894p+6,36      0x1.a6c3780bbf824p+6,  0x1.e3d57e4c557f6p+6,  0x1.f07560077985ap+6,37      0x1.1f0da93354198p+7,  0x1.71018579c0758p+7,  0x1.204684c1167e9p+8,38      0x1.5b3e4e2e3bba9p+9,  0x1.6232c09d58d91p+9,  0x1.67a172ceb099p+9,39      0x1.6960d591aec34p+9,  0x1.74910d52d3051p+9,  0x1.ff8p+9,40  };41  constexpr int N = sizeof(INPUTS) / sizeof(INPUTS[0]);42  for (int i = 0; i < N; ++i) {43    double x = INPUTS[i];44    EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Expm1, x,45                                   LIBC_NAMESPACE::expm1(x), TOLERANCE + 0.5);46    EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Expm1, -x,47                                   LIBC_NAMESPACE::expm1(-x), TOLERANCE + 0.5);48  }49}50 51TEST_F(LlvmLibcExpm1Test, InDoubleRange) {52  constexpr uint64_t COUNT = 1'231;53  uint64_t START = LIBC_NAMESPACE::fputil::FPBits<double>(0.25).uintval();54  uint64_t STOP = LIBC_NAMESPACE::fputil::FPBits<double>(4.0).uintval();55  uint64_t STEP = (STOP - START) / COUNT;56 57  auto test = [&](mpfr::RoundingMode rounding_mode) {58    mpfr::ForceRoundingMode __r(rounding_mode);59    if (!__r.success)60      return;61 62    uint64_t fails = 0;63    uint64_t count = 0;64    uint64_t cc = 0;65    double mx, mr = 0.0;66    double tol = 0.5;67 68    for (uint64_t i = 0, v = START; i <= COUNT; ++i, v += STEP) {69      double x = FPBits(v).get_val();70      if (FPBits(v).is_nan() || FPBits(v).is_inf() || x < 0.0)71        continue;72      double result = LIBC_NAMESPACE::expm1(x);73      ++cc;74      if (FPBits(result).is_nan() || FPBits(result).is_inf())75        continue;76 77      ++count;78 79      if (!TEST_MPFR_MATCH_ROUNDING_SILENTLY(mpfr::Operation::Expm1, x, result,80                                             0.5, rounding_mode)) {81        ++fails;82        while (!TEST_MPFR_MATCH_ROUNDING_SILENTLY(mpfr::Operation::Expm1, x,83                                                  result, tol, rounding_mode)) {84          mx = x;85          mr = result;86 87          if (tol > 1000.0)88            break;89 90          tol *= 2.0;91        }92      }93    }94    if (fails) {95      tlog << " Expm1 failed: " << fails << "/" << count << "/" << cc96           << " tests.\n";97      tlog << "   Max ULPs is at most: " << static_cast<uint64_t>(tol) << ".\n";98      EXPECT_MPFR_MATCH(mpfr::Operation::Expm1, mx, mr, 0.5, rounding_mode);99    }100  };101 102  tlog << " Test Rounding To Nearest...\n";103  test(mpfr::RoundingMode::Nearest);104 105  tlog << " Test Rounding Downward...\n";106  test(mpfr::RoundingMode::Downward);107 108  tlog << " Test Rounding Upward...\n";109  test(mpfr::RoundingMode::Upward);110 111  tlog << " Test Rounding Toward Zero...\n";112  test(mpfr::RoundingMode::TowardZero);113}114