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1//===-- Unittests for 10^x ------------------------------------------------===//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/exp10.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 LlvmLibcExp10Test = LIBC_NAMESPACE::testing::FPTest<double>;25 26namespace mpfr = LIBC_NAMESPACE::testing::mpfr;27using LIBC_NAMESPACE::testing::tlog;28 29TEST_F(LlvmLibcExp10Test, SpecialNumbers) {30  EXPECT_FP_EQ(aNaN, LIBC_NAMESPACE::exp10(aNaN));31  EXPECT_FP_EQ(inf, LIBC_NAMESPACE::exp10(inf));32  EXPECT_FP_EQ_ALL_ROUNDING(zero, LIBC_NAMESPACE::exp10(neg_inf));33  EXPECT_FP_EQ_WITH_EXCEPTION(zero, LIBC_NAMESPACE::exp10(-0x1.0p20),34                              FE_UNDERFLOW);35  EXPECT_FP_EQ_WITH_EXCEPTION(inf, LIBC_NAMESPACE::exp10(0x1.0p20),36                              FE_OVERFLOW);37  EXPECT_FP_EQ_ALL_ROUNDING(1.0, LIBC_NAMESPACE::exp10(0.0));38  EXPECT_FP_EQ_ALL_ROUNDING(1.0, LIBC_NAMESPACE::exp10(-0.0));39}40 41TEST_F(LlvmLibcExp10Test, TrickyInputs) {42  constexpr int N = 41;43  constexpr uint64_t INPUTS[N] = {44      0x40033093317082F8, 0x3FD79289C6E6A5C0,45      0x3FD05DE80A173EA0, // 0x1.05de80a173eap-246      0xbf1eb7a4cb841fcc, // -0x1.eb7a4cb841fccp-1447      0xbf19a61fb925970d,48      0x3fda7b764e2cf47a, // 0x1.a7b764e2cf47ap-249      0xc04757852a4b93aa, // -0x1.757852a4b93aap+550      0x4044c19e5712e377, // x=0x1.4c19e5712e377p+551      0xbf19a61fb925970d, // x=-0x1.9a61fb925970dp-1452      0xc039a74cdab36c28, // x=-0x1.9a74cdab36c28p+453      0xc085b3e4e2e3bba9, // x=-0x1.5b3e4e2e3bba9p+954      0xc086960d591aec34, // x=-0x1.6960d591aec34p+955      0xc086232c09d58d91, // x=-0x1.6232c09d58d91p+956      0xc0874910d52d3051, // x=-0x1.74910d52d3051p957      0xc0867a172ceb0990, // x=-0x1.67a172ceb099p+958      0xc08ff80000000000, // x=-0x1.ff8p+959      0xbc971547652b82fe, // x=-0x1.71547652b82fep-5460      0x0000000000000000, // x = 061      0x3ff0000000000000, // x = 162      0x4000000000000000, // x = 263      0x4008000000000000, // x = 364      0x4010000000000000, // x = 465      0x4014000000000000, // x = 566      0x4018000000000000, // x = 667      0x401c000000000000, // x = 768      0x4020000000000000, // x = 869      0x4022000000000000, // x = 970      0x4024000000000000, // x = 1071      0x4026000000000000, // x = 1172      0x4028000000000000, // x = 1273      0x402a000000000000, // x = 1374      0x402c000000000000, // x = 1475      0x402e000000000000, // x = 1576      0x4030000000000000, // x = 1677      0x4031000000000000, // x = 1778      0x4032000000000000, // x = 1879      0x4033000000000000, // x = 1980      0x4034000000000000, // x = 2081      0x4035000000000000, // x = 2182      0x4036000000000000, // x = 2283      0x4037000000000000, // x = 2384  };85  for (int i = 0; i < N; ++i) {86    double x = FPBits(INPUTS[i]).get_val();87    EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Exp10, x,88                                   LIBC_NAMESPACE::exp10(x), TOLERANCE + 0.5);89  }90}91 92TEST_F(LlvmLibcExp10Test, InDoubleRange) {93  constexpr uint64_t COUNT = 1'231;94  uint64_t START = LIBC_NAMESPACE::fputil::FPBits<double>(0.25).uintval();95  uint64_t STOP = LIBC_NAMESPACE::fputil::FPBits<double>(4.0).uintval();96  uint64_t STEP = (STOP - START) / COUNT;97 98  auto test = [&](mpfr::RoundingMode rounding_mode) {99    mpfr::ForceRoundingMode __r(rounding_mode);100    if (!__r.success)101      return;102 103    uint64_t fails = 0;104    uint64_t count = 0;105    uint64_t cc = 0;106    double mx, mr = 0.0;107    double tol = 0.5;108 109    for (uint64_t i = 0, v = START; i <= COUNT; ++i, v += STEP) {110      double x = FPBits(v).get_val();111      if (FPBits(v).is_nan() || FPBits(v).is_inf() || x < 0.0)112        continue;113      double result = LIBC_NAMESPACE::exp10(x);114      ++cc;115      if (FPBits(result).is_nan() || FPBits(result).is_inf())116        continue;117 118      ++count;119 120      if (!TEST_MPFR_MATCH_ROUNDING_SILENTLY(mpfr::Operation::Exp10, x, result,121                                             TOLERANCE + 0.5, rounding_mode)) {122        ++fails;123        while (!TEST_MPFR_MATCH_ROUNDING_SILENTLY(mpfr::Operation::Exp10, x,124                                                  result, tol, rounding_mode)) {125          mx = x;126          mr = result;127 128          if (tol > 1000.0)129            break;130 131          tol *= 2.0;132        }133      }134    }135    if (fails) {136      tlog << " Exp10 failed: " << fails << "/" << count << "/" << cc137           << " tests.\n";138      tlog << "   Max ULPs is at most: " << static_cast<uint64_t>(tol) << ".\n";139      EXPECT_MPFR_MATCH(mpfr::Operation::Exp10, mx, mr, 0.5, rounding_mode);140    }141  };142 143  tlog << " Test Rounding To Nearest...\n";144  test(mpfr::RoundingMode::Nearest);145 146  tlog << " Test Rounding Downward...\n";147  test(mpfr::RoundingMode::Downward);148 149  tlog << " Test Rounding Upward...\n";150  test(mpfr::RoundingMode::Upward);151 152  tlog << " Test Rounding Toward Zero...\n";153  test(mpfr::RoundingMode::TowardZero);154}155