| //===-- Unittests for 10^x ------------------------------------------------===// |
| // |
| // 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/exp10.h" |
| #include "test/UnitTest/FPMatcher.h" |
| #include "test/UnitTest/Test.h" |
| #include "utils/MPFRWrapper/MPFRUtils.h" |
| |
| #include <errno.h> |
| #include <stdint.h> |
| |
| using LlvmLibcExp10Test = LIBC_NAMESPACE::testing::FPTest<double>; |
| |
| namespace mpfr = LIBC_NAMESPACE::testing::mpfr; |
| using LIBC_NAMESPACE::testing::tlog; |
| |
| TEST_F(LlvmLibcExp10Test, SpecialNumbers) { |
| EXPECT_FP_EQ(aNaN, LIBC_NAMESPACE::exp10(aNaN)); |
| EXPECT_FP_EQ(inf, LIBC_NAMESPACE::exp10(inf)); |
| EXPECT_FP_EQ_ALL_ROUNDING(zero, LIBC_NAMESPACE::exp10(neg_inf)); |
| EXPECT_FP_EQ_WITH_EXCEPTION(zero, LIBC_NAMESPACE::exp10(-0x1.0p20), |
| FE_UNDERFLOW); |
| EXPECT_FP_EQ_WITH_EXCEPTION(inf, LIBC_NAMESPACE::exp10(0x1.0p20), |
| FE_OVERFLOW); |
| EXPECT_FP_EQ_ALL_ROUNDING(1.0, LIBC_NAMESPACE::exp10(0.0)); |
| EXPECT_FP_EQ_ALL_ROUNDING(1.0, LIBC_NAMESPACE::exp10(-0.0)); |
| } |
| |
| TEST_F(LlvmLibcExp10Test, TrickyInputs) { |
| constexpr int N = 41; |
| constexpr uint64_t INPUTS[N] = { |
| 0x40033093317082F8, 0x3FD79289C6E6A5C0, |
| 0x3FD05DE80A173EA0, // 0x1.05de80a173eap-2 |
| 0xbf1eb7a4cb841fcc, // -0x1.eb7a4cb841fccp-14 |
| 0xbf19a61fb925970d, |
| 0x3fda7b764e2cf47a, // 0x1.a7b764e2cf47ap-2 |
| 0xc04757852a4b93aa, // -0x1.757852a4b93aap+5 |
| 0x4044c19e5712e377, // x=0x1.4c19e5712e377p+5 |
| 0xbf19a61fb925970d, // x=-0x1.9a61fb925970dp-14 |
| 0xc039a74cdab36c28, // x=-0x1.9a74cdab36c28p+4 |
| 0xc085b3e4e2e3bba9, // x=-0x1.5b3e4e2e3bba9p+9 |
| 0xc086960d591aec34, // x=-0x1.6960d591aec34p+9 |
| 0xc086232c09d58d91, // x=-0x1.6232c09d58d91p+9 |
| 0xc0874910d52d3051, // x=-0x1.74910d52d3051p9 |
| 0xc0867a172ceb0990, // x=-0x1.67a172ceb099p+9 |
| 0xc08ff80000000000, // x=-0x1.ff8p+9 |
| 0xbc971547652b82fe, // x=-0x1.71547652b82fep-54 |
| 0x0000000000000000, // x = 0 |
| 0x3ff0000000000000, // x = 1 |
| 0x4000000000000000, // x = 2 |
| 0x4008000000000000, // x = 3 |
| 0x4010000000000000, // x = 4 |
| 0x4014000000000000, // x = 5 |
| 0x4018000000000000, // x = 6 |
| 0x401c000000000000, // x = 7 |
| 0x4020000000000000, // x = 8 |
| 0x4022000000000000, // x = 9 |
| 0x4024000000000000, // x = 10 |
| 0x4026000000000000, // x = 11 |
| 0x4028000000000000, // x = 12 |
| 0x402a000000000000, // x = 13 |
| 0x402c000000000000, // x = 14 |
| 0x402e000000000000, // x = 15 |
| 0x4030000000000000, // x = 16 |
| 0x4031000000000000, // x = 17 |
| 0x4032000000000000, // x = 18 |
| 0x4033000000000000, // x = 19 |
| 0x4034000000000000, // x = 20 |
| 0x4035000000000000, // x = 21 |
| 0x4036000000000000, // x = 22 |
| 0x4037000000000000, // x = 23 |
| }; |
| for (int i = 0; i < N; ++i) { |
| double x = FPBits(INPUTS[i]).get_val(); |
| EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Exp10, x, |
| LIBC_NAMESPACE::exp10(x), 0.5); |
| } |
| } |
| |
| TEST_F(LlvmLibcExp10Test, InDoubleRange) { |
| constexpr uint64_t COUNT = 1'231; |
| uint64_t START = LIBC_NAMESPACE::fputil::FPBits<double>(0.25).uintval(); |
| uint64_t STOP = LIBC_NAMESPACE::fputil::FPBits<double>(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 (isnan(x) || isinf(x) || x < 0.0) |
| continue; |
| LIBC_NAMESPACE::libc_errno = 0; |
| double result = LIBC_NAMESPACE::exp10(x); |
| ++cc; |
| if (isnan(result) || isinf(result)) |
| continue; |
| |
| ++count; |
| |
| if (!TEST_MPFR_MATCH_ROUNDING_SILENTLY(mpfr::Operation::Exp10, x, result, |
| 0.5, rounding_mode)) { |
| ++fails; |
| while (!TEST_MPFR_MATCH_ROUNDING_SILENTLY(mpfr::Operation::Exp10, x, |
| result, tol, rounding_mode)) { |
| mx = x; |
| mr = result; |
| |
| if (tol > 1000.0) |
| break; |
| |
| tol *= 2.0; |
| } |
| } |
| } |
| tlog << " Exp10 failed: " << fails << "/" << count << "/" << cc |
| << " tests.\n"; |
| tlog << " Max ULPs is at most: " << static_cast<uint64_t>(tol) << ".\n"; |
| if (fails) { |
| EXPECT_MPFR_MATCH(mpfr::Operation::Exp10, 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); |
| } |