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1 //===-- Unittests for exp2f -----------------------------------------------===//
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/macros/properties/cpu_features.h" // LIBC_TARGET_CPU_HAS_FMA
12 #include "src/errno/libc_errno.h"
13 #include "src/math/exp2f.h"
14 #include "test/UnitTest/FPMatcher.h"
15 #include "test/UnitTest/Test.h"
16 #include "utils/MPFRWrapper/MPFRUtils.h"
17 
18 #include <stdint.h>
19 
20 using LlvmLibcExp2fTest = LIBC_NAMESPACE::testing::FPTest<float>;
21 
22 namespace mpfr = LIBC_NAMESPACE::testing::mpfr;
23 
TEST_F(LlvmLibcExp2fTest,SpecialNumbers)24 TEST_F(LlvmLibcExp2fTest, SpecialNumbers) {
25   LIBC_NAMESPACE::libc_errno = 0;
26 
27   EXPECT_FP_EQ(aNaN, LIBC_NAMESPACE::exp2f(aNaN));
28   EXPECT_MATH_ERRNO(0);
29 
30   EXPECT_FP_EQ(inf, LIBC_NAMESPACE::exp2f(inf));
31   EXPECT_MATH_ERRNO(0);
32 
33   EXPECT_FP_EQ(0.0f, LIBC_NAMESPACE::exp2f(neg_inf));
34   EXPECT_MATH_ERRNO(0);
35 
36   EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::exp2f(0.0f));
37   EXPECT_MATH_ERRNO(0);
38 
39   EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::exp2f(-0.0f));
40   EXPECT_MATH_ERRNO(0);
41 }
42 
TEST_F(LlvmLibcExp2fTest,Overflow)43 TEST_F(LlvmLibcExp2fTest, Overflow) {
44   LIBC_NAMESPACE::libc_errno = 0;
45   EXPECT_FP_EQ_WITH_EXCEPTION(
46       inf, LIBC_NAMESPACE::exp2f(FPBits(0x7f7fffffU).get_val()), FE_OVERFLOW);
47   EXPECT_MATH_ERRNO(ERANGE);
48 
49   EXPECT_FP_EQ_WITH_EXCEPTION(
50       inf, LIBC_NAMESPACE::exp2f(FPBits(0x43000000U).get_val()), FE_OVERFLOW);
51   EXPECT_MATH_ERRNO(ERANGE);
52 
53   EXPECT_FP_EQ_WITH_EXCEPTION(
54       inf, LIBC_NAMESPACE::exp2f(FPBits(0x43000001U).get_val()), FE_OVERFLOW);
55   EXPECT_MATH_ERRNO(ERANGE);
56 }
57 
TEST_F(LlvmLibcExp2fTest,TrickyInputs)58 TEST_F(LlvmLibcExp2fTest, TrickyInputs) {
59   constexpr int N = 12;
60   constexpr uint32_t INPUTS[N] = {
61       0x3b429d37U, /*0x1.853a6ep-9f*/
62       0x3c02a9adU, /*0x1.05535ap-7f*/
63       0x3ca66e26U, /*0x1.4cdc4cp-6f*/
64       0x3d92a282U, /*0x1.254504p-4f*/
65       0x42fa0001U, /*0x1.f40002p+6f*/
66       0x42ffffffU, /*0x1.fffffep+6f*/
67       0xb8d3d026U, /*-0x1.a7a04cp-14f*/
68       0xbcf3a937U, /*-0x1.e7526ep-6f*/
69       0xc2fa0001U, /*-0x1.f40002p+6f*/
70       0xc2fc0000U, /*-0x1.f8p+6f*/
71       0xc2fc0001U, /*-0x1.f80002p+6f*/
72       0xc3150000U, /*-0x1.2ap+7f*/
73   };
74   for (int i = 0; i < N; ++i) {
75     LIBC_NAMESPACE::libc_errno = 0;
76     float x = FPBits(INPUTS[i]).get_val();
77     EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Exp2, x,
78                                    LIBC_NAMESPACE::exp2f(x), 0.5);
79     EXPECT_MATH_ERRNO(0);
80   }
81 }
82 
TEST_F(LlvmLibcExp2fTest,Underflow)83 TEST_F(LlvmLibcExp2fTest, Underflow) {
84   LIBC_NAMESPACE::libc_errno = 0;
85   EXPECT_FP_EQ_WITH_EXCEPTION(
86       0.0f, LIBC_NAMESPACE::exp2f(FPBits(0xff7fffffU).get_val()), FE_UNDERFLOW);
87   EXPECT_MATH_ERRNO(ERANGE);
88 
89   float x = FPBits(0xc3158000U).get_val();
90   EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Exp2, x,
91                                  LIBC_NAMESPACE::exp2f(x), 0.5);
92   EXPECT_MATH_ERRNO(0);
93 
94   x = FPBits(0xc3160000U).get_val();
95   EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Exp2, x,
96                                  LIBC_NAMESPACE::exp2f(x), 0.5);
97   EXPECT_MATH_ERRNO(ERANGE);
98 
99   x = FPBits(0xc3165432U).get_val();
100   EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Exp2, x,
101                                  LIBC_NAMESPACE::exp2f(x), 0.5);
102   EXPECT_MATH_ERRNO(ERANGE);
103 }
104 
TEST_F(LlvmLibcExp2fTest,InFloatRange)105 TEST_F(LlvmLibcExp2fTest, InFloatRange) {
106   constexpr uint32_t COUNT = 100'000;
107   constexpr uint32_t STEP = UINT32_MAX / COUNT;
108   for (uint32_t i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
109     float x = FPBits(v).get_val();
110     if (isnan(x) || isinf(x))
111       continue;
112     LIBC_NAMESPACE::libc_errno = 0;
113     float result = LIBC_NAMESPACE::exp2f(x);
114 
115     // If the computation resulted in an error or did not produce valid result
116     // in the single-precision floating point range, then ignore comparing with
117     // MPFR result as MPFR can still produce valid results because of its
118     // wider precision.
119     if (isnan(result) || isinf(result) || LIBC_NAMESPACE::libc_errno != 0)
120       continue;
121     ASSERT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Exp2, x,
122                                    LIBC_NAMESPACE::exp2f(x), 0.5);
123   }
124 }
125