1 //===-- Unittests for cospif ----------------------------------------------===//
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 "src/errno/libc_errno.h"
10 #include "src/math/cospif.h"
11 #include "test/UnitTest/FPMatcher.h"
12 #include "test/src/math/sdcomp26094.h"
13 #include "utils/MPFRWrapper/MPFRUtils.h"
14
15 using LlvmLibcCospifTest = LIBC_NAMESPACE::testing::FPTest<float>;
16
17 using LIBC_NAMESPACE::testing::SDCOMP26094_VALUES;
18
19 namespace mpfr = LIBC_NAMESPACE::testing::mpfr;
20
TEST_F(LlvmLibcCospifTest,SpecialNumbers)21 TEST_F(LlvmLibcCospifTest, SpecialNumbers) {
22 LIBC_NAMESPACE::libc_errno = 0;
23
24 EXPECT_FP_EQ(aNaN, LIBC_NAMESPACE::cospif(aNaN));
25 EXPECT_MATH_ERRNO(0);
26
27 EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::cospif(0.0f));
28 EXPECT_MATH_ERRNO(0);
29
30 EXPECT_FP_EQ(1.0f, LIBC_NAMESPACE::cospif(-0.0f));
31 EXPECT_MATH_ERRNO(0);
32
33 EXPECT_FP_EQ(aNaN, LIBC_NAMESPACE::cospif(inf));
34 EXPECT_MATH_ERRNO(EDOM);
35
36 EXPECT_FP_EQ(aNaN, LIBC_NAMESPACE::cospif(neg_inf));
37 EXPECT_MATH_ERRNO(EDOM);
38 }
39
TEST_F(LlvmLibcCospifTest,SpecificBitPatterns)40 TEST_F(LlvmLibcCospifTest, SpecificBitPatterns) {
41 constexpr int N = 38;
42 constexpr uint32_t INPUTS[N] = {
43 0x3f00'0000U, // x = 0.5
44 0x461d'd600U, // x = 10101.5
45 0x3f06'0a92U, // x = pi/6
46 0x3f3a'dc51U, // x = 0x1.75b8a2p-1f
47 0x3f49'0fdbU, // x = pi/4
48 0x3f86'0a92U, // x = pi/3
49 0x3fa7'832aU, // x = 0x1.4f0654p+0f
50 0x3fc9'0fdbU, // x = pi/2
51 0x4017'1973U, // x = 0x1.2e32e6p+1f
52 0x4049'0fdbU, // x = pi
53 0x4096'cbe4U, // x = 0x1.2d97c8p+2f
54 0x40c9'0fdbU, // x = 2*pi
55 0x433b'7490U, // x = 0x1.76e92p+7f
56 0x437c'e5f1U, // x = 0x1.f9cbe2p+7f
57 0x4619'9998U, // x = 0x1.33333p+13f
58 0x474d'246fU, // x = 0x1.9a48dep+15f
59 0x4afd'ece4U, // x = 0x1.fbd9c8p+22f
60 0x4c23'32e9U, // x = 0x1.4665d2p+25f
61 0x50a3'e87fU, // x = 0x1.47d0fep+34f
62 0x5239'47f6U, // x = 0x1.728fecp+37f
63 0x53b1'46a6U, // x = 0x1.628d4cp+40f
64 0x55ca'fb2aU, // x = 0x1.95f654p+44f
65 0x588e'f060U, // x = 0x1.1de0cp+50f
66 0x5c07'bcd0U, // x = 0x1.0f79ap+57f
67 0x5ebc'fddeU, // x = 0x1.79fbbcp+62f
68 0x5fa6'eba7U, // x = 0x1.4dd74ep+64f
69 0x61a4'0b40U, // x = 0x1.48168p+68f
70 0x6386'134eU, // x = 0x1.0c269cp+72f
71 0x6589'8498U, // x = 0x1.13093p+76f
72 0x6600'0001U, // x = 0x1.000002p+77f
73 0x664e'46e4U, // x = 0x1.9c8dc8p+77f
74 0x66b0'14aaU, // x = 0x1.602954p+78f
75 0x67a9'242bU, // x = 0x1.524856p+80f
76 0x6a19'76f1U, // x = 0x1.32ede2p+85f
77 0x6c55'da58U, // x = 0x1.abb4bp+89f
78 0x6f79'be45U, // x = 0x1.f37c8ap+95f
79 0x7276'69d4U, // x = 0x1.ecd3a8p+101f
80 0x7758'4625U, // x = 0x1.b08c4ap+111f
81 };
82
83 for (int i = 0; i < N; ++i) {
84 float x = FPBits(INPUTS[i]).get_val();
85 EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Cospi, x,
86 LIBC_NAMESPACE::cospif(x), 0.5);
87 EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Cospi, -x,
88 LIBC_NAMESPACE::cospif(-x), 0.5);
89 }
90 }
91
92 // For small values, sinpi(x) is pi * x.
TEST_F(LlvmLibcCospifTest,SmallValues)93 TEST_F(LlvmLibcCospifTest, SmallValues) {
94 float x = FPBits(0x1780'0000U).get_val();
95 EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Cospi, x,
96 LIBC_NAMESPACE::cospif(x), 0.5);
97
98 x = FPBits(0x0040'0000U).get_val();
99 EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Cospi, x,
100 LIBC_NAMESPACE::cospif(x), 0.5);
101 }
102
103 // SDCOMP-26094: check sinfpi in the cases for which the range reducer
104 // returns values furthest beyond its nominal upper bound of pi/4.
TEST_F(LlvmLibcCospifTest,SDCOMP_26094)105 TEST_F(LlvmLibcCospifTest, SDCOMP_26094) {
106 for (uint32_t v : SDCOMP26094_VALUES) {
107 float x = FPBits((v)).get_val();
108 EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Cospi, x,
109 LIBC_NAMESPACE::cospif(x), 0.5);
110 }
111 }
112
113 // sinpi(+n + 0.5) = sinpi(-n + 0.5) = +0.0
TEST_F(LlvmLibcCospifTest,SignedZeros)114 TEST_F(LlvmLibcCospifTest, SignedZeros) {
115 EXPECT_FP_EQ(0.0, LIBC_NAMESPACE::cospif(100.5f));
116 EXPECT_FP_EQ(0.0, LIBC_NAMESPACE::cospif(-100.5f));
117 EXPECT_FP_EQ(0.0, LIBC_NAMESPACE::cospif(45678.5f));
118 EXPECT_FP_EQ(0.0, LIBC_NAMESPACE::cospif(-45678.5f));
119 EXPECT_FP_EQ(0.0, LIBC_NAMESPACE::cospif(8000000.5f));
120 EXPECT_FP_EQ(0.0, LIBC_NAMESPACE::cospif(-8000000.5f));
121 }
122