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1 /*
2 * Test Int128 arithmetic
3 *
4 * This work is licensed under the terms of the GNU LGPL, version 2 or later.
5 * See the COPYING.LIB file in the top-level directory.
6 *
7 */
8
9 #include "qemu/osdep.h"
10 #include <glib.h>
11 #include "qemu/int128.h"
12
13 /* clang doesn't support __noclone__ but it does have a mechanism for
14 * telling us this. We assume that if we don't have __has_attribute()
15 * then this is GCC and that GCC always supports __noclone__.
16 */
17 #if defined(__has_attribute)
18 #if !__has_attribute(__noclone__)
19 #define ATTRIBUTE_NOCLONE
20 #endif
21 #endif
22 #ifndef ATTRIBUTE_NOCLONE
23 #define ATTRIBUTE_NOCLONE __attribute__((__noclone__))
24 #endif
25
26 static uint32_t tests[8] = {
27 0x00000000, 0x00000001, 0x7FFFFFFE, 0x7FFFFFFF,
28 0x80000000, 0x80000001, 0xFFFFFFFE, 0xFFFFFFFF,
29 };
30
31 #define LOW 3ULL
32 #define HIGH (1ULL << 63)
33 #define MIDDLE (-1ULL & ~LOW & ~HIGH)
34
35 static uint64_t expand16(unsigned x)
36 {
37 return (x & LOW) | ((x & 4) ? MIDDLE : 0) | (x & 0x8000 ? HIGH : 0);
38 }
39
40 static Int128 expand(uint32_t x)
41 {
42 uint64_t l, h;
43 l = expand16(x & 65535);
44 h = expand16(x >> 16);
45 return (Int128) {l, h};
46 };
47
48 static void test_and(void)
49 {
50 int i, j;
51
52 for (i = 0; i < ARRAY_SIZE(tests); ++i) {
53 for (j = 0; j < ARRAY_SIZE(tests); ++j) {
54 Int128 a = expand(tests[i]);
55 Int128 b = expand(tests[j]);
56 Int128 r = expand(tests[i] & tests[j]);
57 Int128 s = int128_and(a, b);
58 g_assert_cmpuint(r.lo, ==, s.lo);
59 g_assert_cmpuint(r.hi, ==, s.hi);
60 }
61 }
62 }
63
64 static void test_add(void)
65 {
66 int i, j;
67
68 for (i = 0; i < ARRAY_SIZE(tests); ++i) {
69 for (j = 0; j < ARRAY_SIZE(tests); ++j) {
70 Int128 a = expand(tests[i]);
71 Int128 b = expand(tests[j]);
72 Int128 r = expand(tests[i] + tests[j]);
73 Int128 s = int128_add(a, b);
74 g_assert_cmpuint(r.lo, ==, s.lo);
75 g_assert_cmpuint(r.hi, ==, s.hi);
76 }
77 }
78 }
79
80 static void test_sub(void)
81 {
82 int i, j;
83
84 for (i = 0; i < ARRAY_SIZE(tests); ++i) {
85 for (j = 0; j < ARRAY_SIZE(tests); ++j) {
86 Int128 a = expand(tests[i]);
87 Int128 b = expand(tests[j]);
88 Int128 r = expand(tests[i] - tests[j]);
89 Int128 s = int128_sub(a, b);
90 g_assert_cmpuint(r.lo, ==, s.lo);
91 g_assert_cmpuint(r.hi, ==, s.hi);
92 }
93 }
94 }
95
96 static void test_neg(void)
97 {
98 int i;
99
100 for (i = 0; i < ARRAY_SIZE(tests); ++i) {
101 Int128 a = expand(tests[i]);
102 Int128 r = expand(-tests[i]);
103 Int128 s = int128_neg(a);
104 g_assert_cmpuint(r.lo, ==, s.lo);
105 g_assert_cmpuint(r.hi, ==, s.hi);
106 }
107 }
108
109 static void test_nz(void)
110 {
111 int i, j;
112
113 for (i = 0; i < ARRAY_SIZE(tests); ++i) {
114 for (j = 0; j < ARRAY_SIZE(tests); ++j) {
115 Int128 a = expand(tests[i]);
116 g_assert_cmpuint(int128_nz(a), ==, tests[i] != 0);
117 }
118 }
119 }
120
121 static void test_le(void)
122 {
123 int i, j;
124
125 for (i = 0; i < ARRAY_SIZE(tests); ++i) {
126 for (j = 0; j < ARRAY_SIZE(tests); ++j) {
127 /* Signed comparison */
128 int32_t a = (int32_t) tests[i];
129 int32_t b = (int32_t) tests[j];
130 g_assert_cmpuint(int128_le(expand(a), expand(b)), ==, a <= b);
131 }
132 }
133 }
134
135 static void test_lt(void)
136 {
137 int i, j;
138
139 for (i = 0; i < ARRAY_SIZE(tests); ++i) {
140 for (j = 0; j < ARRAY_SIZE(tests); ++j) {
141 /* Signed comparison */
142 int32_t a = (int32_t) tests[i];
143 int32_t b = (int32_t) tests[j];
144 g_assert_cmpuint(int128_lt(expand(a), expand(b)), ==, a < b);
145 }
146 }
147 }
148
149 static void test_ge(void)
150 {
151 int i, j;
152
153 for (i = 0; i < ARRAY_SIZE(tests); ++i) {
154 for (j = 0; j < ARRAY_SIZE(tests); ++j) {
155 /* Signed comparison */
156 int32_t a = (int32_t) tests[i];
157 int32_t b = (int32_t) tests[j];
158 g_assert_cmpuint(int128_ge(expand(a), expand(b)), ==, a >= b);
159 }
160 }
161 }
162
163 static void test_gt(void)
164 {
165 int i, j;
166
167 for (i = 0; i < ARRAY_SIZE(tests); ++i) {
168 for (j = 0; j < ARRAY_SIZE(tests); ++j) {
169 /* Signed comparison */
170 int32_t a = (int32_t) tests[i];
171 int32_t b = (int32_t) tests[j];
172 g_assert_cmpuint(int128_gt(expand(a), expand(b)), ==, a > b);
173 }
174 }
175 }
176
177 /* Make sure to test undefined behavior at runtime! */
178
179 static void __attribute__((__noinline__)) ATTRIBUTE_NOCLONE
180 test_rshift_one(uint32_t x, int n, uint64_t h, uint64_t l)
181 {
182 Int128 a = expand(x);
183 Int128 r = int128_rshift(a, n);
184 g_assert_cmpuint(r.lo, ==, l);
185 g_assert_cmpuint(r.hi, ==, h);
186 }
187
188 static void test_rshift(void)
189 {
190 test_rshift_one(0x00010000U, 64, 0x0000000000000000ULL, 0x0000000000000001ULL);
191 test_rshift_one(0x80010000U, 64, 0xFFFFFFFFFFFFFFFFULL, 0x8000000000000001ULL);
192 test_rshift_one(0x7FFE0000U, 64, 0x0000000000000000ULL, 0x7FFFFFFFFFFFFFFEULL);
193 test_rshift_one(0xFFFE0000U, 64, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFEULL);
194 test_rshift_one(0x00010000U, 60, 0x0000000000000000ULL, 0x0000000000000010ULL);
195 test_rshift_one(0x80010000U, 60, 0xFFFFFFFFFFFFFFF8ULL, 0x0000000000000010ULL);
196 test_rshift_one(0x00018000U, 60, 0x0000000000000000ULL, 0x0000000000000018ULL);
197 test_rshift_one(0x80018000U, 60, 0xFFFFFFFFFFFFFFF8ULL, 0x0000000000000018ULL);
198 test_rshift_one(0x7FFE0000U, 60, 0x0000000000000007ULL, 0xFFFFFFFFFFFFFFE0ULL);
199 test_rshift_one(0xFFFE0000U, 60, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFE0ULL);
200 test_rshift_one(0x7FFE8000U, 60, 0x0000000000000007ULL, 0xFFFFFFFFFFFFFFE8ULL);
201 test_rshift_one(0xFFFE8000U, 60, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFE8ULL);
202 test_rshift_one(0x00018000U, 0, 0x0000000000000001ULL, 0x8000000000000000ULL);
203 test_rshift_one(0x80018000U, 0, 0x8000000000000001ULL, 0x8000000000000000ULL);
204 test_rshift_one(0x7FFE0000U, 0, 0x7FFFFFFFFFFFFFFEULL, 0x0000000000000000ULL);
205 test_rshift_one(0xFFFE0000U, 0, 0xFFFFFFFFFFFFFFFEULL, 0x0000000000000000ULL);
206 test_rshift_one(0x7FFE8000U, 0, 0x7FFFFFFFFFFFFFFEULL, 0x8000000000000000ULL);
207 test_rshift_one(0xFFFE8000U, 0, 0xFFFFFFFFFFFFFFFEULL, 0x8000000000000000ULL);
208 }
209
210 int main(int argc, char **argv)
211 {
212 g_test_init(&argc, &argv, NULL);
213 g_test_add_func("/int128/int128_and", test_and);
214 g_test_add_func("/int128/int128_add", test_add);
215 g_test_add_func("/int128/int128_sub", test_sub);
216 g_test_add_func("/int128/int128_neg", test_neg);
217 g_test_add_func("/int128/int128_nz", test_nz);
218 g_test_add_func("/int128/int128_le", test_le);
219 g_test_add_func("/int128/int128_lt", test_lt);
220 g_test_add_func("/int128/int128_ge", test_ge);
221 g_test_add_func("/int128/int128_gt", test_gt);
222 g_test_add_func("/int128/int128_rshift", test_rshift);
223 return g_test_run();
224 }