1 | //===-- Unittests for atan2f128 -------------------------------------------===// |
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/math/atan2f128.h" |
10 | #include "test/UnitTest/FPMatcher.h" |
11 | #include "test/UnitTest/Test.h" |
12 | #include "utils/MPFRWrapper/MPFRUtils.h" |
13 | |
14 | using LlvmLibcAtan2f128Test = LIBC_NAMESPACE::testing::FPTest<float128>; |
15 | using LIBC_NAMESPACE::testing::tlog; |
16 | |
17 | namespace mpfr = LIBC_NAMESPACE::testing::mpfr; |
18 | |
19 | TEST_F(LlvmLibcAtan2f128Test, InQuadRange) { |
20 | constexpr StorageType X_COUNT = 123; |
21 | constexpr StorageType X_START = |
22 | FPBits(static_cast<float128>(0.25q)).uintval(); |
23 | constexpr StorageType X_STOP = FPBits(static_cast<float128>(4.0q)).uintval(); |
24 | constexpr StorageType X_STEP = (X_STOP - X_START) / X_COUNT; |
25 | |
26 | constexpr StorageType Y_COUNT = 137; |
27 | constexpr StorageType Y_START = |
28 | FPBits(static_cast<float128>(0.25q)).uintval(); |
29 | constexpr StorageType Y_STOP = FPBits(static_cast<float128>(4.0q)).uintval(); |
30 | constexpr StorageType Y_STEP = (Y_STOP - Y_START) / Y_COUNT; |
31 | |
32 | auto test = [&](mpfr::RoundingMode rounding_mode) { |
33 | mpfr::ForceRoundingMode __r(rounding_mode); |
34 | if (!__r.success) |
35 | return; |
36 | |
37 | uint64_t fails = 0; |
38 | uint64_t finite_count = 0; |
39 | uint64_t total_count = 0; |
40 | float128 failed_x = 0.0, failed_y = 0.0, failed_r = 0.0; |
41 | double tol = 0.5; |
42 | |
43 | for (StorageType i = 0, v = X_START; i <= X_COUNT; ++i, v += X_STEP) { |
44 | float128 x = FPBits(v).get_val(); |
45 | if (FPBits(x).is_inf_or_nan() || x < 0.0q) |
46 | continue; |
47 | |
48 | for (StorageType j = 0, w = Y_START; j <= Y_COUNT; ++j, w += Y_STEP) { |
49 | float128 y = FPBits(w).get_val(); |
50 | if (FPBits(y).is_inf_or_nan()) |
51 | continue; |
52 | |
53 | float128 result = LIBC_NAMESPACE::atan2f128(x, y); |
54 | ++total_count; |
55 | if (FPBits(result).is_inf_or_nan()) |
56 | continue; |
57 | |
58 | ++finite_count; |
59 | mpfr::BinaryInput<float128> inputs{x, y}; |
60 | |
61 | if (!TEST_MPFR_MATCH_ROUNDING_SILENTLY(mpfr::Operation::Atan2, inputs, |
62 | result, 2.0, rounding_mode)) { |
63 | ++fails; |
64 | while (!TEST_MPFR_MATCH_ROUNDING_SILENTLY( |
65 | mpfr::Operation::Atan2, inputs, result, tol, rounding_mode)) { |
66 | failed_x = x; |
67 | failed_y = y; |
68 | failed_r = result; |
69 | |
70 | if (tol > 1000.0) |
71 | break; |
72 | |
73 | tol *= 2.0; |
74 | } |
75 | } |
76 | } |
77 | } |
78 | if (fails || (finite_count < total_count)) { |
79 | tlog << " Atan2 failed: " << fails << "/" << finite_count << "/" |
80 | << total_count << " tests.\n" |
81 | << " Max ULPs is at most: " << static_cast<uint64_t>(tol) << ".\n" ; |
82 | } |
83 | if (fails) { |
84 | mpfr::BinaryInput<float128> inputs{failed_x, failed_y}; |
85 | EXPECT_MPFR_MATCH(mpfr::Operation::Atan2, inputs, failed_r, 0.5, |
86 | rounding_mode); |
87 | } |
88 | }; |
89 | |
90 | tlog << " Test Rounding To Nearest...\n" ; |
91 | test(mpfr::RoundingMode::Nearest); |
92 | |
93 | tlog << " Test Rounding Downward...\n" ; |
94 | test(mpfr::RoundingMode::Downward); |
95 | |
96 | tlog << " Test Rounding Upward...\n" ; |
97 | test(mpfr::RoundingMode::Upward); |
98 | |
99 | tlog << " Test Rounding Toward Zero...\n" ; |
100 | test(mpfr::RoundingMode::TowardZero); |
101 | } |
102 | |