xref: /llvm-project/libc/test/src/__support/math_extras_test.cpp (revision 5ff3ff33ff930e4ec49da7910612d8a41eb068cb)
1 //===-- Unittests for math_extras -----------------------------------------===//
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/__support/integer_literals.h"
10 #include "src/__support/macros/config.h"
11 #include "src/__support/math_extras.h"
12 #include "src/__support/uint128.h" // UInt<128>
13 #include "test/UnitTest/Test.h"
14 
15 namespace LIBC_NAMESPACE_DECL {
16 
17 // TODO: add UInt<128> support.
18 using UnsignedTypesNoBigInt = testing::TypeList<
19 #if defined(LIBC_TYPES_HAS_INT128)
20     __uint128_t,
21 #endif // LIBC_TYPES_HAS_INT128
22     unsigned char, unsigned short, unsigned int, unsigned long,
23     unsigned long long, UInt<128>>;
24 
25 TEST(LlvmLibcBlockMathExtrasTest, mask_trailing_ones) {
26   EXPECT_EQ(0_u8, (mask_leading_ones<uint8_t, 0>()));
27   EXPECT_EQ(0_u8, (mask_trailing_ones<uint8_t, 0>()));
28   EXPECT_EQ(0_u16, (mask_leading_ones<uint16_t, 0>()));
29   EXPECT_EQ(0_u16, (mask_trailing_ones<uint16_t, 0>()));
30   EXPECT_EQ(0_u32, (mask_leading_ones<uint32_t, 0>()));
31   EXPECT_EQ(0_u32, (mask_trailing_ones<uint32_t, 0>()));
32   EXPECT_EQ(0_u64, (mask_leading_ones<uint64_t, 0>()));
33   EXPECT_EQ(0_u64, (mask_trailing_ones<uint64_t, 0>()));
34 
35   EXPECT_EQ(0x00000003_u32, (mask_trailing_ones<uint32_t, 2>()));
36   EXPECT_EQ(0xC0000000_u32, (mask_leading_ones<uint32_t, 2>()));
37 
38   EXPECT_EQ(0x000007FF_u32, (mask_trailing_ones<uint32_t, 11>()));
39   EXPECT_EQ(0xFFE00000_u32, (mask_leading_ones<uint32_t, 11>()));
40 
41   EXPECT_EQ(0xFFFFFFFF_u32, (mask_trailing_ones<uint32_t, 32>()));
42   EXPECT_EQ(0xFFFFFFFF_u32, (mask_leading_ones<uint32_t, 32>()));
43   EXPECT_EQ(0xFFFFFFFFFFFFFFFF_u64, (mask_trailing_ones<uint64_t, 64>()));
44   EXPECT_EQ(0xFFFFFFFFFFFFFFFF_u64, (mask_leading_ones<uint64_t, 64>()));
45 
46   EXPECT_EQ(0x0000FFFFFFFFFFFF_u64, (mask_trailing_ones<uint64_t, 48>()));
47   EXPECT_EQ(0xFFFFFFFFFFFF0000_u64, (mask_leading_ones<uint64_t, 48>()));
48 
49   EXPECT_EQ(0_u128, (mask_trailing_ones<UInt128, 0>()));
50   EXPECT_EQ(0_u128, (mask_leading_ones<UInt128, 0>()));
51 
52   EXPECT_EQ(0x00000000000000007FFFFFFFFFFFFFFF_u128,
53             (mask_trailing_ones<UInt128, 63>()));
54   EXPECT_EQ(0xFFFFFFFFFFFFFFFE0000000000000000_u128,
55             (mask_leading_ones<UInt128, 63>()));
56 
57   EXPECT_EQ(0x0000000000000000FFFFFFFFFFFFFFFF_u128,
58             (mask_trailing_ones<UInt128, 64>()));
59   EXPECT_EQ(0xFFFFFFFFFFFFFFFF0000000000000000_u128,
60             (mask_leading_ones<UInt128, 64>()));
61 
62   EXPECT_EQ(0x0000000000000001FFFFFFFFFFFFFFFF_u128,
63             (mask_trailing_ones<UInt128, 65>()));
64   EXPECT_EQ(0xFFFFFFFFFFFFFFFF8000000000000000_u128,
65             (mask_leading_ones<UInt128, 65>()));
66 
67   EXPECT_EQ(0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF_u128,
68             (mask_trailing_ones<UInt128, 128>()));
69   EXPECT_EQ(0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF_u128,
70             (mask_leading_ones<UInt128, 128>()));
71 }
72 
73 TYPED_TEST(LlvmLibcBitTest, FirstLeadingZero, UnsignedTypesNoBigInt) {
74   EXPECT_EQ(first_leading_zero<T>(cpp::numeric_limits<T>::max()), 0);
75   for (int i = 0U; i != cpp::numeric_limits<T>::digits; ++i)
76     EXPECT_EQ(first_leading_zero<T>(~(T(1) << i)),
77               cpp::numeric_limits<T>::digits - i);
78 }
79 
80 TYPED_TEST(LlvmLibcBitTest, FirstLeadingOne, UnsignedTypesNoBigInt) {
81   EXPECT_EQ(first_leading_one<T>(static_cast<T>(0)), 0);
82   for (int i = 0U; i != cpp::numeric_limits<T>::digits; ++i)
83     EXPECT_EQ(first_leading_one<T>(T(1) << i),
84               cpp::numeric_limits<T>::digits - i);
85 }
86 
87 TYPED_TEST(LlvmLibcBitTest, FirstTrailingZero, UnsignedTypesNoBigInt) {
88   EXPECT_EQ(first_trailing_zero<T>(cpp::numeric_limits<T>::max()), 0);
89   for (int i = 0U; i != cpp::numeric_limits<T>::digits; ++i)
90     EXPECT_EQ(first_trailing_zero<T>(~(T(1) << i)), i + 1);
91 }
92 
93 TYPED_TEST(LlvmLibcBitTest, FirstTrailingOne, UnsignedTypesNoBigInt) {
94   EXPECT_EQ(first_trailing_one<T>(cpp::numeric_limits<T>::max()), 0);
95   for (int i = 0U; i != cpp::numeric_limits<T>::digits; ++i)
96     EXPECT_EQ(first_trailing_one<T>(T(1) << i), i + 1);
97 }
98 
99 TYPED_TEST(LlvmLibcBitTest, CountZeros, UnsignedTypesNoBigInt) {
100   EXPECT_EQ(count_zeros(T(0)), cpp::numeric_limits<T>::digits);
101   for (int i = 0; i != cpp::numeric_limits<T>::digits; ++i)
102     EXPECT_EQ(count_zeros<T>(cpp::numeric_limits<T>::max() >> i), i);
103 }
104 
105 using UnsignedTypes = testing::TypeList<
106 #if defined(LIBC_TYPES_HAS_INT128)
107     __uint128_t,
108 #endif
109     unsigned char, unsigned short, unsigned int, unsigned long,
110     unsigned long long>;
111 
112 TYPED_TEST(LlvmLibcBlockMathExtrasTest, add_overflow, UnsignedTypes) {
113   constexpr T ZERO = cpp::numeric_limits<T>::min();
114   constexpr T ONE(1);
115   constexpr T MAX = cpp::numeric_limits<T>::max();
116   constexpr T BEFORE_MAX = MAX - 1;
117 
118   const struct {
119     T lhs;
120     T rhs;
121     T sum;
122     bool carry;
123   } TESTS[] = {
124       {ZERO, ONE, ONE, false},       // 0x00 + 0x01 = 0x01
125       {BEFORE_MAX, ONE, MAX, false}, // 0xFE + 0x01 = 0xFF
126       {MAX, ONE, ZERO, true},        // 0xFF + 0x01 = 0x00 (carry)
127       {MAX, MAX, BEFORE_MAX, true},  // 0xFF + 0xFF = 0xFE (carry)
128   };
129   for (auto tc : TESTS) {
130     T sum;
131     bool carry = add_overflow<T>(tc.lhs, tc.rhs, sum);
132     EXPECT_EQ(sum, tc.sum);
133     EXPECT_EQ(carry, tc.carry);
134   }
135 }
136 
137 TYPED_TEST(LlvmLibcBlockMathExtrasTest, sub_overflow, UnsignedTypes) {
138   constexpr T ZERO = cpp::numeric_limits<T>::min();
139   constexpr T ONE(1);
140   constexpr T MAX = cpp::numeric_limits<T>::max();
141   constexpr T BEFORE_MAX = MAX - 1;
142 
143   const struct {
144     T lhs;
145     T rhs;
146     T sub;
147     bool carry;
148   } TESTS[] = {
149       {ONE, ZERO, ONE, false},      // 0x01 - 0x00 = 0x01
150       {MAX, MAX, ZERO, false},      // 0xFF - 0xFF = 0x00
151       {ZERO, ONE, MAX, true},       // 0x00 - 0x01 = 0xFF (carry)
152       {BEFORE_MAX, MAX, MAX, true}, // 0xFE - 0xFF = 0xFF (carry)
153   };
154   for (auto tc : TESTS) {
155     T sub;
156     bool carry = sub_overflow<T>(tc.lhs, tc.rhs, sub);
157     EXPECT_EQ(sub, tc.sub);
158     EXPECT_EQ(carry, tc.carry);
159   }
160 }
161 
162 } // namespace LIBC_NAMESPACE_DECL
163