128 lines · cpp
1//===-- Unittests for exp -------------------------------------------------===//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/exp.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 LlvmLibcExpTest = LIBC_NAMESPACE::testing::FPTest<double>;25 26namespace mpfr = LIBC_NAMESPACE::testing::mpfr;27using LIBC_NAMESPACE::testing::tlog;28 29TEST_F(LlvmLibcExpTest, SpecialNumbers) {30 EXPECT_FP_EQ(aNaN, LIBC_NAMESPACE::exp(aNaN));31 EXPECT_FP_EQ(inf, LIBC_NAMESPACE::exp(inf));32 EXPECT_FP_EQ_ALL_ROUNDING(zero, LIBC_NAMESPACE::exp(neg_inf));33 EXPECT_FP_EQ_WITH_EXCEPTION(zero, LIBC_NAMESPACE::exp(-0x1.0p20),34 FE_UNDERFLOW);35 EXPECT_FP_EQ_WITH_EXCEPTION(inf, LIBC_NAMESPACE::exp(0x1.0p20), FE_OVERFLOW);36 EXPECT_FP_EQ_ALL_ROUNDING(1.0, LIBC_NAMESPACE::exp(0.0));37 EXPECT_FP_EQ_ALL_ROUNDING(1.0, LIBC_NAMESPACE::exp(-0.0));38}39 40TEST_F(LlvmLibcExpTest, TrickyInputs) {41 constexpr int N = 14;42 constexpr uint64_t INPUTS[N] = {43 0x3FD79289C6E6A5C0,44 0x3FD05DE80A173EA0, // 0x1.05de80a173eap-245 0xbf1eb7a4cb841fcc, // -0x1.eb7a4cb841fccp-1446 0xbf19a61fb925970d,47 0x3fda7b764e2cf47a, // 0x1.a7b764e2cf47ap-248 0xc04757852a4b93aa, // -0x1.757852a4b93aap+549 0x4044c19e5712e377, // x=0x1.4c19e5712e377p+550 0xbf19a61fb925970d, // x=-0x1.9a61fb925970dp-1451 0xc039a74cdab36c28, // x=-0x1.9a74cdab36c28p+452 0xc085b3e4e2e3bba9, // x=-0x1.5b3e4e2e3bba9p+953 0xc086960d591aec34, // x=-0x1.6960d591aec34p+954 0xc086232c09d58d91, // x=-0x1.6232c09d58d91p+955 0xc0874910d52d3051, // x=-0x1.74910d52d3051p956 0xc0867a172ceb0990, // x=-0x1.67a172ceb099p+957 };58 for (int i = 0; i < N; ++i) {59 double x = FPBits(INPUTS[i]).get_val();60 EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Exp, x,61 LIBC_NAMESPACE::exp(x), TOLERANCE + 0.5);62 }63}64 65TEST_F(LlvmLibcExpTest, InDoubleRange) {66 constexpr uint64_t COUNT = 1'231;67 uint64_t START = LIBC_NAMESPACE::fputil::FPBits<double>(0.25).uintval();68 uint64_t STOP = LIBC_NAMESPACE::fputil::FPBits<double>(4.0).uintval();69 uint64_t STEP = (STOP - START) / COUNT;70 71 auto test = [&](mpfr::RoundingMode rounding_mode) {72 mpfr::ForceRoundingMode __r(rounding_mode);73 if (!__r.success)74 return;75 76 uint64_t fails = 0;77 uint64_t count = 0;78 uint64_t cc = 0;79 double mx, mr = 0.0;80 double tol = 0.5;81 82 for (uint64_t i = 0, v = START; i <= COUNT; ++i, v += STEP) {83 double x = FPBits(v).get_val();84 if (FPBits(v).is_nan() || FPBits(v).is_inf() || x < 0.0)85 continue;86 double result = LIBC_NAMESPACE::exp(x);87 ++cc;88 if (FPBits(result).is_nan() || FPBits(result).is_inf())89 continue;90 91 ++count;92 // ASSERT_MPFR_MATCH(mpfr::Operation::Log, x, result, 0.5);93 if (!TEST_MPFR_MATCH_ROUNDING_SILENTLY(mpfr::Operation::Exp, x, result,94 TOLERANCE + 0.5, rounding_mode)) {95 ++fails;96 while (!TEST_MPFR_MATCH_ROUNDING_SILENTLY(mpfr::Operation::Exp, x,97 result, tol, rounding_mode)) {98 mx = x;99 mr = result;100 101 if (tol > 1000.0)102 break;103 104 tol *= 2.0;105 }106 }107 }108 if (fails) {109 tlog << " Exp failed: " << fails << "/" << count << "/" << cc110 << " tests.\n";111 tlog << " Max ULPs is at most: " << static_cast<uint64_t>(tol) << ".\n";112 EXPECT_MPFR_MATCH(mpfr::Operation::Exp, mx, mr, 0.5, rounding_mode);113 }114 };115 116 tlog << " Test Rounding To Nearest...\n";117 test(mpfr::RoundingMode::Nearest);118 119 tlog << " Test Rounding Downward...\n";120 test(mpfr::RoundingMode::Downward);121 122 tlog << " Test Rounding Upward...\n";123 test(mpfr::RoundingMode::Upward);124 125 tlog << " Test Rounding Toward Zero...\n";126 test(mpfr::RoundingMode::TowardZero);127}128