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/__support/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
19using LlvmLibcExp10Test = LIBC_NAMESPACE::testing::FPTest<double>;
20
21namespace mpfr = LIBC_NAMESPACE::testing::mpfr;
22using LIBC_NAMESPACE::testing::tlog;
23
24TEST_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
36TEST_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
87TEST_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_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

source code of libc/test/src/math/exp10_test.cpp