1*71db0c75SAndroid Build Coastguard Worker //===-- Unittests for cos -------------------------------------------------===//
2*71db0c75SAndroid Build Coastguard Worker //
3*71db0c75SAndroid Build Coastguard Worker // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
4*71db0c75SAndroid Build Coastguard Worker // See https://llvm.org/LICENSE.txt for license information.
5*71db0c75SAndroid Build Coastguard Worker // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
6*71db0c75SAndroid Build Coastguard Worker //
7*71db0c75SAndroid Build Coastguard Worker //===----------------------------------------------------------------------===//
8*71db0c75SAndroid Build Coastguard Worker
9*71db0c75SAndroid Build Coastguard Worker #include "src/__support/FPUtil/FPBits.h"
10*71db0c75SAndroid Build Coastguard Worker #include "src/math/cos.h"
11*71db0c75SAndroid Build Coastguard Worker #include "test/UnitTest/FPMatcher.h"
12*71db0c75SAndroid Build Coastguard Worker #include "test/UnitTest/Test.h"
13*71db0c75SAndroid Build Coastguard Worker #include "utils/MPFRWrapper/MPFRUtils.h"
14*71db0c75SAndroid Build Coastguard Worker
15*71db0c75SAndroid Build Coastguard Worker using LlvmLibcCosTest = LIBC_NAMESPACE::testing::FPTest<double>;
16*71db0c75SAndroid Build Coastguard Worker
17*71db0c75SAndroid Build Coastguard Worker namespace mpfr = LIBC_NAMESPACE::testing::mpfr;
18*71db0c75SAndroid Build Coastguard Worker
19*71db0c75SAndroid Build Coastguard Worker using LIBC_NAMESPACE::testing::tlog;
20*71db0c75SAndroid Build Coastguard Worker
TEST_F(LlvmLibcCosTest,TrickyInputs)21*71db0c75SAndroid Build Coastguard Worker TEST_F(LlvmLibcCosTest, TrickyInputs) {
22*71db0c75SAndroid Build Coastguard Worker constexpr double INPUTS[] = {
23*71db0c75SAndroid Build Coastguard Worker 0x1.8000000000009p-23, 0x1.8000000000024p-22,
24*71db0c75SAndroid Build Coastguard Worker 0x1.800000000009p-21, 0x1.20000000000f3p-20,
25*71db0c75SAndroid Build Coastguard Worker 0x1.800000000024p-20, 0x1.e0000000001c2p-20,
26*71db0c75SAndroid Build Coastguard Worker 0x1.940c877fb7dacp-7, -0x1.f42fb19b5b9b2p-6,
27*71db0c75SAndroid Build Coastguard Worker -0x1.0285070f9f1bcp-5, 0x1.23f40dccdef72p+0,
28*71db0c75SAndroid Build Coastguard Worker 0x1.43cf16358c9d7p+0, 0x1.addf3b9722265p+0,
29*71db0c75SAndroid Build Coastguard Worker 0x1.ae78d360afa15p+0, 0x1.e31b55306f22cp+2,
30*71db0c75SAndroid Build Coastguard Worker 0x1.e639103a05997p+2, -0x1.f7898d5a756ddp+2,
31*71db0c75SAndroid Build Coastguard Worker 0x1.1685973506319p+3, 0x1.5f09cad750ab1p+3,
32*71db0c75SAndroid Build Coastguard Worker -0x1.aaf85537ea4c7p+3, 0x1.4f2b874135d27p+4,
33*71db0c75SAndroid Build Coastguard Worker 0x1.13114266f9764p+4, 0x1.a211877de55dbp+4,
34*71db0c75SAndroid Build Coastguard Worker -0x1.a5eece87e8606p+4, 0x1.a65d441ea6dcep+4,
35*71db0c75SAndroid Build Coastguard Worker 0x1.1ffb509f3db15p+5, 0x1.2345d1e090529p+5,
36*71db0c75SAndroid Build Coastguard Worker 0x1.c96e28eb679f8p+5, 0x1.be886d9c2324dp+6,
37*71db0c75SAndroid Build Coastguard Worker -0x1.ab514bfc61c76p+7, -0x1.14823229799c2p+7,
38*71db0c75SAndroid Build Coastguard Worker 0x1.48ff1782ca91dp+8, 0x1.dcbfda0c7559ep+8,
39*71db0c75SAndroid Build Coastguard Worker 0x1.dcbfda0c7559ep+8, 0x1.2e566149bf5fdp+9,
40*71db0c75SAndroid Build Coastguard Worker 0x1.cb996c60f437ep+9, 0x1.ae945054939c2p+10,
41*71db0c75SAndroid Build Coastguard Worker -0x1.119471e9216cdp+10, 0x1.ae945054939c2p+10,
42*71db0c75SAndroid Build Coastguard Worker 0x1.fffffffffdb6p+24, 0x1.fd4da4ef37075p+29,
43*71db0c75SAndroid Build Coastguard Worker 0x1.55202aefde314p+31, 0x1.b951f1572eba5p+31,
44*71db0c75SAndroid Build Coastguard Worker 0x1.7776c2343ba4ep+101, 0x1.85fc0f04c0128p+101,
45*71db0c75SAndroid Build Coastguard Worker 0x1.678309fa50d58p+110, 0x1.fffffffffef4ep+199,
46*71db0c75SAndroid Build Coastguard Worker 0x1.3eec5912ea7cdp+331, -0x1.3eec5912ea7cdp+331,
47*71db0c75SAndroid Build Coastguard Worker -0x1.6deb37da81129p+205, 0x1.08087e9aad90bp+887,
48*71db0c75SAndroid Build Coastguard Worker -0x1.08087e9aad90bp+887, -0x1.8bb5847d49973p+845,
49*71db0c75SAndroid Build Coastguard Worker 0x1.6ac5b262ca1ffp+849, 0x1.f08b14e1c4d0fp+890,
50*71db0c75SAndroid Build Coastguard Worker 0x1.2b5fe88a9d8d5p+903, 0x1.f6d7518808571p+1023,
51*71db0c75SAndroid Build Coastguard Worker -0x1.a880417b7b119p+1023, 0x1.00a33764a0a83p-7,
52*71db0c75SAndroid Build Coastguard Worker 0x1.fe81868fc47fep+1, 0x1.0da8cc189b47dp-10,
53*71db0c75SAndroid Build Coastguard Worker 0x1.da1838053b866p+5, 0x1.ffffffffe854bp199,
54*71db0c75SAndroid Build Coastguard Worker };
55*71db0c75SAndroid Build Coastguard Worker constexpr int N = sizeof(INPUTS) / sizeof(INPUTS[0]);
56*71db0c75SAndroid Build Coastguard Worker
57*71db0c75SAndroid Build Coastguard Worker for (int i = 0; i < N; ++i) {
58*71db0c75SAndroid Build Coastguard Worker double x = INPUTS[i];
59*71db0c75SAndroid Build Coastguard Worker ASSERT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Cos, x,
60*71db0c75SAndroid Build Coastguard Worker LIBC_NAMESPACE::cos(x), 0.5);
61*71db0c75SAndroid Build Coastguard Worker }
62*71db0c75SAndroid Build Coastguard Worker }
63*71db0c75SAndroid Build Coastguard Worker
TEST_F(LlvmLibcCosTest,InDoubleRange)64*71db0c75SAndroid Build Coastguard Worker TEST_F(LlvmLibcCosTest, InDoubleRange) {
65*71db0c75SAndroid Build Coastguard Worker constexpr uint64_t COUNT = 1'234'51;
66*71db0c75SAndroid Build Coastguard Worker uint64_t START = LIBC_NAMESPACE::fputil::FPBits<double>(0x1.0p-50).uintval();
67*71db0c75SAndroid Build Coastguard Worker uint64_t STOP = LIBC_NAMESPACE::fputil::FPBits<double>(0x1.0p200).uintval();
68*71db0c75SAndroid Build Coastguard Worker uint64_t STEP = (STOP - START) / COUNT;
69*71db0c75SAndroid Build Coastguard Worker
70*71db0c75SAndroid Build Coastguard Worker auto test = [&](mpfr::RoundingMode rounding_mode) {
71*71db0c75SAndroid Build Coastguard Worker mpfr::ForceRoundingMode __r(rounding_mode);
72*71db0c75SAndroid Build Coastguard Worker if (!__r.success)
73*71db0c75SAndroid Build Coastguard Worker return;
74*71db0c75SAndroid Build Coastguard Worker
75*71db0c75SAndroid Build Coastguard Worker uint64_t fails = 0;
76*71db0c75SAndroid Build Coastguard Worker uint64_t tested = 0;
77*71db0c75SAndroid Build Coastguard Worker uint64_t total = 0;
78*71db0c75SAndroid Build Coastguard Worker double worst_input, worst_output = 0.0;
79*71db0c75SAndroid Build Coastguard Worker double ulp = 0.5;
80*71db0c75SAndroid Build Coastguard Worker
81*71db0c75SAndroid Build Coastguard Worker for (uint64_t i = 0, v = START; i <= COUNT; ++i, v += STEP) {
82*71db0c75SAndroid Build Coastguard Worker double x = FPBits(v).get_val();
83*71db0c75SAndroid Build Coastguard Worker if (FPBits(v).is_nan() || FPBits(v).is_inf())
84*71db0c75SAndroid Build Coastguard Worker continue;
85*71db0c75SAndroid Build Coastguard Worker
86*71db0c75SAndroid Build Coastguard Worker double result = LIBC_NAMESPACE::cos(x);
87*71db0c75SAndroid Build Coastguard Worker ++total;
88*71db0c75SAndroid Build Coastguard Worker if (FPBits(result).is_nan() || FPBits(result).is_inf())
89*71db0c75SAndroid Build Coastguard Worker continue;
90*71db0c75SAndroid Build Coastguard Worker
91*71db0c75SAndroid Build Coastguard Worker ++tested;
92*71db0c75SAndroid Build Coastguard Worker
93*71db0c75SAndroid Build Coastguard Worker if (!TEST_MPFR_MATCH_ROUNDING_SILENTLY(mpfr::Operation::Cos, x, result,
94*71db0c75SAndroid Build Coastguard Worker 0.5, rounding_mode)) {
95*71db0c75SAndroid Build Coastguard Worker ++fails;
96*71db0c75SAndroid Build Coastguard Worker while (!TEST_MPFR_MATCH_ROUNDING_SILENTLY(mpfr::Operation::Cos, x,
97*71db0c75SAndroid Build Coastguard Worker result, ulp, rounding_mode)) {
98*71db0c75SAndroid Build Coastguard Worker worst_input = x;
99*71db0c75SAndroid Build Coastguard Worker worst_output = result;
100*71db0c75SAndroid Build Coastguard Worker
101*71db0c75SAndroid Build Coastguard Worker if (ulp > 1000.0)
102*71db0c75SAndroid Build Coastguard Worker break;
103*71db0c75SAndroid Build Coastguard Worker
104*71db0c75SAndroid Build Coastguard Worker ulp *= 2.0;
105*71db0c75SAndroid Build Coastguard Worker }
106*71db0c75SAndroid Build Coastguard Worker }
107*71db0c75SAndroid Build Coastguard Worker }
108*71db0c75SAndroid Build Coastguard Worker if (fails) {
109*71db0c75SAndroid Build Coastguard Worker tlog << " Cos failed: " << fails << "/" << tested << "/" << total
110*71db0c75SAndroid Build Coastguard Worker << " tests.\n";
111*71db0c75SAndroid Build Coastguard Worker tlog << " Max ULPs is at most: " << static_cast<uint64_t>(ulp) << ".\n";
112*71db0c75SAndroid Build Coastguard Worker EXPECT_MPFR_MATCH(mpfr::Operation::Cos, worst_input, worst_output, 0.5,
113*71db0c75SAndroid Build Coastguard Worker rounding_mode);
114*71db0c75SAndroid Build Coastguard Worker }
115*71db0c75SAndroid Build Coastguard Worker };
116*71db0c75SAndroid Build Coastguard Worker
117*71db0c75SAndroid Build Coastguard Worker tlog << " Test Rounding To Nearest...\n";
118*71db0c75SAndroid Build Coastguard Worker test(mpfr::RoundingMode::Nearest);
119*71db0c75SAndroid Build Coastguard Worker
120*71db0c75SAndroid Build Coastguard Worker tlog << " Test Rounding Downward...\n";
121*71db0c75SAndroid Build Coastguard Worker test(mpfr::RoundingMode::Downward);
122*71db0c75SAndroid Build Coastguard Worker
123*71db0c75SAndroid Build Coastguard Worker tlog << " Test Rounding Upward...\n";
124*71db0c75SAndroid Build Coastguard Worker test(mpfr::RoundingMode::Upward);
125*71db0c75SAndroid Build Coastguard Worker
126*71db0c75SAndroid Build Coastguard Worker tlog << " Test Rounding Toward Zero...\n";
127*71db0c75SAndroid Build Coastguard Worker test(mpfr::RoundingMode::TowardZero);
128*71db0c75SAndroid Build Coastguard Worker }
129