//===-- 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 using LlvmLibcExp10Test = LIBC_NAMESPACE::testing::FPTest; 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(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::exp10(x); ++cc; if (FPBits(result).is_nan() || FPBits(result).is_inf()) 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(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); }