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1 //===-- Utility class to test different flavors of nextafter ----*- C++ -*-===//
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 #ifndef LLVM_LIBC_TEST_SRC_MATH_NEXTAFTERTEST_H
10 #define LLVM_LIBC_TEST_SRC_MATH_NEXTAFTERTEST_H
11 
12 #include "hdr/math_macros.h"
13 #include "src/__support/CPP/bit.h"
14 #include "src/__support/CPP/type_traits.h"
15 #include "src/__support/FPUtil/BasicOperations.h"
16 #include "src/__support/FPUtil/FPBits.h"
17 #include "test/UnitTest/FEnvSafeTest.h"
18 #include "test/UnitTest/FPMatcher.h"
19 #include "test/UnitTest/Test.h"
20 
21 template <typename T>
22 class NextAfterTestTemplate : public LIBC_NAMESPACE::testing::FEnvSafeTest {
23   using FPBits = LIBC_NAMESPACE::fputil::FPBits<T>;
24   using StorageType = typename FPBits::StorageType;
25 
26   const T inf = FPBits::inf(Sign::POS).get_val();
27   const T neg_inf = FPBits::inf(Sign::NEG).get_val();
28   const T zero = FPBits::zero(Sign::POS).get_val();
29   const T neg_zero = FPBits::zero(Sign::NEG).get_val();
30   const T nan = FPBits::quiet_nan().get_val();
31 
32   const StorageType min_subnormal = FPBits::min_subnormal().uintval();
33   const StorageType max_subnormal = FPBits::max_subnormal().uintval();
34   const StorageType min_normal = FPBits::min_normal().uintval();
35   const StorageType max_normal = FPBits::max_normal().uintval();
36 
37 public:
38   typedef T (*NextAfterFunc)(T, T);
39 
testNaN(NextAfterFunc func)40   void testNaN(NextAfterFunc func) {
41     ASSERT_FP_EQ(func(nan, 0), nan);
42     ASSERT_FP_EQ(func(0, nan), nan);
43   }
44 
testBoundaries(NextAfterFunc func)45   void testBoundaries(NextAfterFunc func) {
46     ASSERT_FP_EQ(func(zero, neg_zero), neg_zero);
47     ASSERT_FP_EQ(func(neg_zero, zero), zero);
48 
49     // 'from' is zero|neg_zero.
50     T x = zero;
51     T result = func(x, T(1));
52     StorageType expected_bits = 1;
53     T expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
54     ASSERT_FP_EQ(result, expected);
55 
56     result = func(x, T(-1));
57     expected_bits = FPBits::SIGN_MASK + 1;
58     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
59     ASSERT_FP_EQ(result, expected);
60 
61     x = neg_zero;
62     result = func(x, 1);
63     expected_bits = 1;
64     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
65     ASSERT_FP_EQ(result, expected);
66 
67     result = func(x, -1);
68     expected_bits = FPBits::SIGN_MASK + 1;
69     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
70     ASSERT_FP_EQ(result, expected);
71 
72     // 'from' is max subnormal value.
73     x = LIBC_NAMESPACE::cpp::bit_cast<T>(max_subnormal);
74     result = func(x, 1);
75     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(min_normal);
76     ASSERT_FP_EQ(result, expected);
77 
78     result = func(x, 0);
79     expected_bits = max_subnormal - 1;
80     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
81     ASSERT_FP_EQ(result, expected);
82 
83     x = -x;
84 
85     result = func(x, -1);
86     expected_bits = FPBits::SIGN_MASK + min_normal;
87     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
88     ASSERT_FP_EQ(result, expected);
89 
90     result = func(x, 0);
91     expected_bits = FPBits::SIGN_MASK + max_subnormal - 1;
92     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
93     ASSERT_FP_EQ(result, expected);
94 
95     // 'from' is min subnormal value.
96     x = LIBC_NAMESPACE::cpp::bit_cast<T>(min_subnormal);
97     result = func(x, 1);
98     expected_bits = min_subnormal + 1;
99     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
100     ASSERT_FP_EQ(result, expected);
101     ASSERT_FP_EQ(func(x, 0), 0);
102 
103     x = -x;
104     result = func(x, -1);
105     expected_bits = FPBits::SIGN_MASK + min_subnormal + 1;
106     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
107     ASSERT_FP_EQ(result, expected);
108     ASSERT_FP_EQ(func(x, 0), T(-0.0));
109 
110     // 'from' is min normal.
111     x = LIBC_NAMESPACE::cpp::bit_cast<T>(min_normal);
112     result = func(x, 0);
113     expected_bits = max_subnormal;
114     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
115     ASSERT_FP_EQ(result, expected);
116 
117     result = func(x, inf);
118     expected_bits = min_normal + 1;
119     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
120     ASSERT_FP_EQ(result, expected);
121 
122     x = -x;
123     result = func(x, 0);
124     expected_bits = FPBits::SIGN_MASK + max_subnormal;
125     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
126     ASSERT_FP_EQ(result, expected);
127 
128     result = func(x, -inf);
129     expected_bits = FPBits::SIGN_MASK + min_normal + 1;
130     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
131     ASSERT_FP_EQ(result, expected);
132 
133     // 'from' is max normal and 'to' is infinity.
134     x = LIBC_NAMESPACE::cpp::bit_cast<T>(max_normal);
135     result = func(x, inf);
136     ASSERT_FP_EQ(result, inf);
137 
138     result = func(-x, -inf);
139     ASSERT_FP_EQ(result, -inf);
140 
141     // 'from' is infinity.
142     x = inf;
143     result = func(x, 0);
144     expected_bits = max_normal;
145     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
146     ASSERT_FP_EQ(result, expected);
147     ASSERT_FP_EQ(func(x, inf), inf);
148 
149     x = neg_inf;
150     result = func(x, 0);
151     expected_bits = FPBits::SIGN_MASK + max_normal;
152     expected = LIBC_NAMESPACE::cpp::bit_cast<T>(expected_bits);
153     ASSERT_FP_EQ(result, expected);
154     ASSERT_FP_EQ(func(x, neg_inf), neg_inf);
155 
156     // 'from' is a power of 2.
157     x = T(32.0);
158     result = func(x, 0);
159     FPBits x_bits = FPBits(x);
160     FPBits result_bits = FPBits(result);
161     ASSERT_EQ(result_bits.get_biased_exponent(),
162               uint16_t(x_bits.get_biased_exponent() - 1));
163     ASSERT_EQ(result_bits.get_mantissa(), FPBits::FRACTION_MASK);
164 
165     result = func(x, T(33.0));
166     result_bits = FPBits(result);
167     ASSERT_EQ(result_bits.get_biased_exponent(), x_bits.get_biased_exponent());
168     ASSERT_EQ(result_bits.get_mantissa(),
169               x_bits.get_mantissa() + StorageType(1));
170 
171     x = -x;
172 
173     result = func(x, 0);
174     result_bits = FPBits(result);
175     ASSERT_EQ(result_bits.get_biased_exponent(),
176               uint16_t(x_bits.get_biased_exponent() - 1));
177     ASSERT_EQ(result_bits.get_mantissa(), FPBits::FRACTION_MASK);
178 
179     result = func(x, T(-33.0));
180     result_bits = FPBits(result);
181     ASSERT_EQ(result_bits.get_biased_exponent(), x_bits.get_biased_exponent());
182     ASSERT_EQ(result_bits.get_mantissa(),
183               x_bits.get_mantissa() + StorageType(1));
184   }
185 };
186 
187 #define LIST_NEXTAFTER_TESTS(T, func)                                          \
188   using LlvmLibcNextAfterTest = NextAfterTestTemplate<T>;                      \
189   TEST_F(LlvmLibcNextAfterTest, TestNaN) { testNaN(&func); }                   \
190   TEST_F(LlvmLibcNextAfterTest, TestBoundaries) { testBoundaries(&func); }
191 
192 #endif // LLVM_LIBC_TEST_SRC_MATH_NEXTAFTERTEST_H
193