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-exception 6 // 7 //===----------------------------------------------------------------------===// 8 9 #include "hdr/math_macros.h" 10 #include "src/__support/FPUtil/FPBits.h" 11 #include "src/errno/libc_errno.h" 12 #include "src/math/exp10.h" 13 #include "test/UnitTest/FPMatcher.h" 14 #include "test/UnitTest/Test.h" 15 #include "utils/MPFRWrapper/MPFRUtils.h" 16 17 #include <stdint.h> 18 19 using LlvmLibcExp10Test = LIBC_NAMESPACE::testing::FPTest<double>; 20 21 namespace mpfr = LIBC_NAMESPACE::testing::mpfr; 22 using LIBC_NAMESPACE::testing::tlog; 23 24 TEST_F(LlvmLibcExp10Test, SpecialNumbers) { 25 EXPECT_FP_EQ(aNaN, LIBC_NAMESPACE::exp10(aNaN)); 26 EXPECT_FP_EQ(inf, LIBC_NAMESPACE::exp10(inf)); 27 EXPECT_FP_EQ_ALL_ROUNDING(zero, LIBC_NAMESPACE::exp10(neg_inf)); 28 EXPECT_FP_EQ_WITH_EXCEPTION(zero, LIBC_NAMESPACE::exp10(-0x1.0p20), 29 FE_UNDERFLOW); 30 EXPECT_FP_EQ_WITH_EXCEPTION(inf, LIBC_NAMESPACE::exp10(0x1.0p20), 31 FE_OVERFLOW); 32 EXPECT_FP_EQ_ALL_ROUNDING(1.0, LIBC_NAMESPACE::exp10(0.0)); 33 EXPECT_FP_EQ_ALL_ROUNDING(1.0, LIBC_NAMESPACE::exp10(-0.0)); 34 } 35 36 TEST_F(LlvmLibcExp10Test, TrickyInputs) { 37 constexpr int N = 41; 38 constexpr uint64_t INPUTS[N] = { 39 0x40033093317082F8, 0x3FD79289C6E6A5C0, 40 0x3FD05DE80A173EA0, // 0x1.05de80a173eap-2 41 0xbf1eb7a4cb841fcc, // -0x1.eb7a4cb841fccp-14 42 0xbf19a61fb925970d, 43 0x3fda7b764e2cf47a, // 0x1.a7b764e2cf47ap-2 44 0xc04757852a4b93aa, // -0x1.757852a4b93aap+5 45 0x4044c19e5712e377, // x=0x1.4c19e5712e377p+5 46 0xbf19a61fb925970d, // x=-0x1.9a61fb925970dp-14 47 0xc039a74cdab36c28, // x=-0x1.9a74cdab36c28p+4 48 0xc085b3e4e2e3bba9, // x=-0x1.5b3e4e2e3bba9p+9 49 0xc086960d591aec34, // x=-0x1.6960d591aec34p+9 50 0xc086232c09d58d91, // x=-0x1.6232c09d58d91p+9 51 0xc0874910d52d3051, // x=-0x1.74910d52d3051p9 52 0xc0867a172ceb0990, // x=-0x1.67a172ceb099p+9 53 0xc08ff80000000000, // x=-0x1.ff8p+9 54 0xbc971547652b82fe, // x=-0x1.71547652b82fep-54 55 0x0000000000000000, // x = 0 56 0x3ff0000000000000, // x = 1 57 0x4000000000000000, // x = 2 58 0x4008000000000000, // x = 3 59 0x4010000000000000, // x = 4 60 0x4014000000000000, // x = 5 61 0x4018000000000000, // x = 6 62 0x401c000000000000, // x = 7 63 0x4020000000000000, // x = 8 64 0x4022000000000000, // x = 9 65 0x4024000000000000, // x = 10 66 0x4026000000000000, // x = 11 67 0x4028000000000000, // x = 12 68 0x402a000000000000, // x = 13 69 0x402c000000000000, // x = 14 70 0x402e000000000000, // x = 15 71 0x4030000000000000, // x = 16 72 0x4031000000000000, // x = 17 73 0x4032000000000000, // x = 18 74 0x4033000000000000, // x = 19 75 0x4034000000000000, // x = 20 76 0x4035000000000000, // x = 21 77 0x4036000000000000, // x = 22 78 0x4037000000000000, // x = 23 79 }; 80 for (int i = 0; i < N; ++i) { 81 double x = FPBits(INPUTS[i]).get_val(); 82 EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Exp10, x, 83 LIBC_NAMESPACE::exp10(x), 0.5); 84 } 85 } 86 87 TEST_F(LlvmLibcExp10Test, InDoubleRange) { 88 constexpr uint64_t COUNT = 1'231; 89 uint64_t START = LIBC_NAMESPACE::fputil::FPBits<double>(0.25).uintval(); 90 uint64_t STOP = LIBC_NAMESPACE::fputil::FPBits<double>(4.0).uintval(); 91 uint64_t STEP = (STOP - START) / COUNT; 92 93 auto test = [&](mpfr::RoundingMode rounding_mode) { 94 mpfr::ForceRoundingMode __r(rounding_mode); 95 if (!__r.success) 96 return; 97 98 uint64_t fails = 0; 99 uint64_t count = 0; 100 uint64_t cc = 0; 101 double mx, mr = 0.0; 102 double tol = 0.5; 103 104 for (uint64_t i = 0, v = START; i <= COUNT; ++i, v += STEP) { 105 double x = FPBits(v).get_val(); 106 if (FPBits(v).is_nan() || FPBits(v).is_inf() || x < 0.0) 107 continue; 108 LIBC_NAMESPACE::libc_errno = 0; 109 double result = LIBC_NAMESPACE::exp10(x); 110 ++cc; 111 if (FPBits(result).is_nan() || FPBits(result).is_inf()) 112 continue; 113 114 ++count; 115 116 if (!TEST_MPFR_MATCH_ROUNDING_SILENTLY(mpfr::Operation::Exp10, x, result, 117 0.5, rounding_mode)) { 118 ++fails; 119 while (!TEST_MPFR_MATCH_ROUNDING_SILENTLY(mpfr::Operation::Exp10, x, 120 result, tol, rounding_mode)) { 121 mx = x; 122 mr = result; 123 124 if (tol > 1000.0) 125 break; 126 127 tol *= 2.0; 128 } 129 } 130 } 131 tlog << " Exp10 failed: " << fails << "/" << count << "/" << cc 132 << " tests.\n"; 133 tlog << " Max ULPs is at most: " << static_cast<uint64_t>(tol) << ".\n"; 134 if (fails) { 135 EXPECT_MPFR_MATCH(mpfr::Operation::Exp10, mx, mr, 0.5, rounding_mode); 136 } 137 }; 138 139 tlog << " Test Rounding To Nearest...\n"; 140 test(mpfr::RoundingMode::Nearest); 141 142 tlog << " Test Rounding Downward...\n"; 143 test(mpfr::RoundingMode::Downward); 144 145 tlog << " Test Rounding Upward...\n"; 146 test(mpfr::RoundingMode::Upward); 147 148 tlog << " Test Rounding Toward Zero...\n"; 149 test(mpfr::RoundingMode::TowardZero); 150 } 151