2 Copyright (C) 2011 Free Software Foundation, Inc.
4 This program is free software: you can redistribute it and/or modify
5 it under the terms of the GNU General Public License as published by
6 the Free Software Foundation; either version 3 of the License, or
7 (at your option) any later version.
9 This program is distributed in the hope that it will be useful,
10 but WITHOUT ANY WARRANTY; without even the implied warranty of
11 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
12 GNU General Public License for more details.
14 You should have received a copy of the GNU General Public License
15 along with this program. If not, see <http://www.gnu.org/licenses/>. */
17 /* Written by Paul Eggert. */
19 /* Tell gcc not to warn about the many (X < 0) expressions that
20 the overflow macros expand to. */
21 #if (__GNUC__ == 4 && 3 <= __GNUC_MINOR__) || 4 < __GNUC__
22 # pragma GCC diagnostic ignored "-Wtype-limits"
33 /* TYPE_IS_INTEGER. */
34 verify (TYPE_IS_INTEGER (bool));
35 verify (TYPE_IS_INTEGER (char));
36 verify (TYPE_IS_INTEGER (signed char));
37 verify (TYPE_IS_INTEGER (unsigned char));
38 verify (TYPE_IS_INTEGER (short int));
39 verify (TYPE_IS_INTEGER (unsigned short int));
40 verify (TYPE_IS_INTEGER (int));
41 verify (TYPE_IS_INTEGER (unsigned int));
42 verify (TYPE_IS_INTEGER (long int));
43 verify (TYPE_IS_INTEGER (unsigned long int));
44 verify (TYPE_IS_INTEGER (intmax_t));
45 verify (TYPE_IS_INTEGER (uintmax_t));
46 verify (! TYPE_IS_INTEGER (float));
47 verify (! TYPE_IS_INTEGER (double));
48 verify (! TYPE_IS_INTEGER (long double));
50 /* Integer representation. */
51 verify (INT_MIN + INT_MAX < 0
52 ? (TYPE_TWOS_COMPLEMENT (int)
53 && ! TYPE_ONES_COMPLEMENT (int) && ! TYPE_SIGNED_MAGNITUDE (int))
54 : (! TYPE_TWOS_COMPLEMENT (int)
55 && (TYPE_ONES_COMPLEMENT (int) || TYPE_SIGNED_MAGNITUDE (int))));
58 /* verify (! TYPE_SIGNED (bool)); */ /* not guaranteed by gnulib substitute */
59 verify (TYPE_SIGNED (signed char));
60 verify (! TYPE_SIGNED (unsigned char));
61 verify (TYPE_SIGNED (short int));
62 verify (! TYPE_SIGNED (unsigned short int));
63 verify (TYPE_SIGNED (int));
64 verify (! TYPE_SIGNED (unsigned int));
65 verify (TYPE_SIGNED (long int));
66 verify (! TYPE_SIGNED (unsigned long int));
67 verify (TYPE_SIGNED (intmax_t));
68 verify (! TYPE_SIGNED (uintmax_t));
69 verify (TYPE_SIGNED (float));
70 verify (TYPE_SIGNED (double));
71 verify (TYPE_SIGNED (long double));
73 /* TYPE_MINIMUM, TYPE_MAXIMUM. */
74 verify (TYPE_MINIMUM (char) == CHAR_MIN);
75 verify (TYPE_MAXIMUM (char) == CHAR_MAX);
76 verify (TYPE_MINIMUM (unsigned char) == 0);
77 verify (TYPE_MAXIMUM (unsigned char) == UCHAR_MAX);
78 verify (TYPE_MINIMUM (signed char) == SCHAR_MIN);
79 verify (TYPE_MAXIMUM (signed char) == SCHAR_MAX);
80 verify (TYPE_MINIMUM (short int) == SHRT_MIN);
81 verify (TYPE_MAXIMUM (short int) == SHRT_MAX);
82 verify (TYPE_MINIMUM (unsigned short int) == 0);
83 verify (TYPE_MAXIMUM (unsigned short int) == USHRT_MAX);
84 verify (TYPE_MINIMUM (int) == INT_MIN);
85 verify (TYPE_MAXIMUM (int) == INT_MAX);
86 verify (TYPE_MINIMUM (unsigned int) == 0);
87 verify (TYPE_MAXIMUM (unsigned int) == UINT_MAX);
88 verify (TYPE_MINIMUM (long int) == LONG_MIN);
89 verify (TYPE_MAXIMUM (long int) == LONG_MAX);
90 verify (TYPE_MINIMUM (unsigned long int) == 0);
91 verify (TYPE_MAXIMUM (unsigned long int) == ULONG_MAX);
92 verify (TYPE_MINIMUM (intmax_t) == INTMAX_MIN);
93 verify (TYPE_MAXIMUM (intmax_t) == INTMAX_MAX);
94 verify (TYPE_MINIMUM (uintmax_t) == 0);
95 verify (TYPE_MAXIMUM (uintmax_t) == UINTMAX_MAX);
97 /* INT_BITS_STRLEN_BOUND. */
98 verify (INT_BITS_STRLEN_BOUND (1) == 1);
99 verify (INT_BITS_STRLEN_BOUND (2620) == 789);
101 /* INT_STRLEN_BOUND, INT_BUFSIZE_BOUND. */
102 #ifdef INT32_MAX /* POSIX guarantees int32_t; this ports to non-POSIX hosts */
103 verify (INT_STRLEN_BOUND (int32_t) == sizeof ("-2147483648") - 1);
104 verify (INT_BUFSIZE_BOUND (int32_t) == sizeof ("-2147483648"));
107 verify (INT_STRLEN_BOUND (int64_t) == sizeof ("-9223372036854775808") - 1);
108 verify (INT_BUFSIZE_BOUND (int64_t) == sizeof ("-9223372036854775808"));
111 /* All the INT_<op>_RANGE_OVERFLOW tests are equally valid as
112 INT_<op>_OVERFLOW tests, so define a single macro to do both. */
113 #define check_binop(op, a, b, min, max, overflow) \
114 (INT_##op##_RANGE_OVERFLOW (a, b, min, max) == (overflow) \
115 && INT_##op##_OVERFLOW (a, b) == (overflow))
116 #define check_unop(op, a, min, max, overflow) \
117 (INT_##op##_RANGE_OVERFLOW (a, min, max) == (overflow) \
118 && INT_##op##_OVERFLOW (a) == (overflow))
120 /* INT_<op>_RANGE_OVERFLOW, INT_<op>_OVERFLOW. */
121 verify (INT_ADD_RANGE_OVERFLOW (INT_MAX, 1, INT_MIN, INT_MAX));
122 verify (INT_ADD_OVERFLOW (INT_MAX, 1));
123 verify (check_binop (ADD, INT_MAX, 1, INT_MIN, INT_MAX, true));
124 verify (check_binop (ADD, INT_MAX, -1, INT_MIN, INT_MAX, false));
125 verify (check_binop (ADD, INT_MIN, 1, INT_MIN, INT_MAX, false));
126 verify (check_binop (ADD, INT_MIN, -1, INT_MIN, INT_MAX, true));
127 verify (check_binop (ADD, UINT_MAX, 1u, 0u, UINT_MAX, true));
128 verify (check_binop (ADD, 0u, 1u, 0u, UINT_MAX, false));
130 verify (check_binop (SUBTRACT, INT_MAX, 1, INT_MIN, INT_MAX, false));
131 verify (check_binop (SUBTRACT, INT_MAX, -1, INT_MIN, INT_MAX, true));
132 verify (check_binop (SUBTRACT, INT_MIN, 1, INT_MIN, INT_MAX, true));
133 verify (check_binop (SUBTRACT, INT_MIN, -1, INT_MIN, INT_MAX, false));
134 verify (check_binop (SUBTRACT, UINT_MAX, 1u, 0u, UINT_MAX, false));
135 verify (check_binop (SUBTRACT, 0u, 1u, 0u, UINT_MAX, true));
137 verify (check_unop (NEGATE, INT_MIN, INT_MIN, INT_MAX,
138 TYPE_TWOS_COMPLEMENT (int)));
139 verify (check_unop (NEGATE, 0, INT_MIN, INT_MAX, false));
140 verify (check_unop (NEGATE, INT_MAX, INT_MIN, INT_MAX, false));
141 verify (check_unop (NEGATE, 0u, 0u, UINT_MAX, false));
142 verify (check_unop (NEGATE, 1u, 0u, UINT_MAX, true));
143 verify (check_unop (NEGATE, UINT_MAX, 0u, UINT_MAX, true));
145 verify (check_binop (MULTIPLY, INT_MAX, INT_MAX, INT_MIN, INT_MAX, true));
146 verify (check_binop (MULTIPLY, INT_MAX, INT_MIN, INT_MIN, INT_MAX, true));
147 verify (check_binop (MULTIPLY, INT_MIN, INT_MAX, INT_MIN, INT_MAX, true));
148 verify (check_binop (MULTIPLY, INT_MIN, INT_MIN, INT_MIN, INT_MAX, true));
149 verify (check_binop (MULTIPLY, -1, INT_MIN, INT_MIN, INT_MAX,
150 INT_NEGATE_OVERFLOW (INT_MIN)));
151 verify (check_binop (MULTIPLY, LONG_MIN / INT_MAX, (long int) INT_MAX,
152 LONG_MIN, LONG_MIN, false));
154 verify (check_binop (DIVIDE, INT_MIN, -1, INT_MIN, INT_MAX,
155 INT_NEGATE_OVERFLOW (INT_MIN)));
156 verify (check_binop (DIVIDE, INT_MAX, 1, INT_MIN, INT_MAX, false));
157 verify (check_binop (DIVIDE, (unsigned int) INT_MIN,
158 -1u, 0u, UINT_MAX, false));
160 verify (check_binop (REMAINDER, INT_MIN, -1, INT_MIN, INT_MAX,
161 INT_NEGATE_OVERFLOW (INT_MIN)));
162 verify (check_binop (REMAINDER, INT_MAX, 1, INT_MIN, INT_MAX, false));
163 verify (check_binop (REMAINDER, (unsigned int) INT_MIN,
164 -1u, 0u, UINT_MAX, false));
166 verify (check_binop (LEFT_SHIFT, UINT_MAX, 1, 0u, UINT_MAX, true));
167 verify (check_binop (LEFT_SHIFT, UINT_MAX / 2 + 1, 1, 0u, UINT_MAX, true));
168 verify (check_binop (LEFT_SHIFT, UINT_MAX / 2, 1, 0u, UINT_MAX, false));
170 /* INT_<op>_OVERFLOW with mixed types. */
171 #define check_sum(a, b, overflow) \
172 verify (INT_ADD_OVERFLOW (a, b) == (overflow)); \
173 verify (INT_ADD_OVERFLOW (b, a) == (overflow))
174 check_sum (-1, LONG_MIN, true);
175 check_sum (-1, UINT_MAX, false);
176 check_sum (-1L, INT_MIN, INT_MIN == LONG_MIN);
177 check_sum (0u, -1, true);
178 check_sum (0u, 0, false);
179 check_sum (0u, 1, false);
180 check_sum (1, LONG_MAX, true);
181 check_sum (1, UINT_MAX, true);
182 check_sum (1L, INT_MAX, INT_MAX == LONG_MAX);
183 check_sum (1u, INT_MAX, INT_MAX == UINT_MAX);
184 check_sum (1u, INT_MIN, true);
186 verify (! INT_SUBTRACT_OVERFLOW (INT_MAX, 1u));
187 verify (! INT_SUBTRACT_OVERFLOW (UINT_MAX, 1));
188 verify (! INT_SUBTRACT_OVERFLOW (0u, -1));
189 verify (INT_SUBTRACT_OVERFLOW (UINT_MAX, -1));
190 verify (INT_SUBTRACT_OVERFLOW (INT_MIN, 1u));
191 verify (INT_SUBTRACT_OVERFLOW (-1, 0u));
193 #define check_product(a, b, overflow) \
194 verify (INT_MULTIPLY_OVERFLOW (a, b) == (overflow)); \
195 verify (INT_MULTIPLY_OVERFLOW (b, a) == (overflow))
197 check_product (-1, 1u, true);
198 check_product (-1, INT_MIN, INT_NEGATE_OVERFLOW (INT_MIN));
199 check_product (-1, UINT_MAX, true);
200 check_product (-12345, LONG_MAX / -12345 - 1, true);
201 check_product (-12345, LONG_MAX / -12345, false);
202 check_product (0, -1, false);
203 check_product (0, 0, false);
204 check_product (0, 0u, false);
205 check_product (0, 1, false);
206 check_product (0, INT_MAX, false);
207 check_product (0, INT_MIN, false);
208 check_product (0, UINT_MAX, false);
209 check_product (0u, -1, false);
210 check_product (0u, 0, false);
211 check_product (0u, 0u, false);
212 check_product (0u, 1, false);
213 check_product (0u, INT_MAX, false);
214 check_product (0u, INT_MIN, false);
215 check_product (0u, UINT_MAX, false);
216 check_product (1, INT_MAX, false);
217 check_product (1, INT_MIN, false);
218 check_product (1, UINT_MAX, false);
219 check_product (1u, INT_MIN, true);
220 check_product (1u, INT_MAX, UINT_MAX < INT_MAX);
221 check_product (INT_MAX, UINT_MAX, true);
222 check_product (INT_MAX, ULONG_MAX, true);
223 check_product (INT_MIN, LONG_MAX / INT_MIN - 1, true);
224 check_product (INT_MIN, LONG_MAX / INT_MIN, false);
225 check_product (INT_MIN, UINT_MAX, true);
226 check_product (INT_MIN, ULONG_MAX, true);
228 verify (INT_DIVIDE_OVERFLOW (INT_MIN, -1L)
229 == (TYPE_TWOS_COMPLEMENT (long int) && INT_MIN == LONG_MIN));
230 verify (! INT_DIVIDE_OVERFLOW (INT_MIN, UINT_MAX));
231 verify (! INT_DIVIDE_OVERFLOW (INTMAX_MIN, UINTMAX_MAX));
232 verify (! INT_DIVIDE_OVERFLOW (INTMAX_MIN, UINT_MAX));
233 verify (INT_DIVIDE_OVERFLOW (-11, 10u));
234 verify (INT_DIVIDE_OVERFLOW (-10, 10u));
235 verify (! INT_DIVIDE_OVERFLOW (-9, 10u));
236 verify (INT_DIVIDE_OVERFLOW (11u, -10));
237 verify (INT_DIVIDE_OVERFLOW (10u, -10));
238 verify (! INT_DIVIDE_OVERFLOW (9u, -10));
240 verify (INT_REMAINDER_OVERFLOW (INT_MIN, -1L)
241 == (TYPE_TWOS_COMPLEMENT (long int) && INT_MIN == LONG_MIN));
242 verify (INT_REMAINDER_OVERFLOW (-1, UINT_MAX));
243 verify (INT_REMAINDER_OVERFLOW ((intmax_t) -1, UINTMAX_MAX));
244 verify (INT_REMAINDER_OVERFLOW (INTMAX_MIN, UINT_MAX)
245 == (INTMAX_MAX < UINT_MAX
246 && - (unsigned int) INTMAX_MIN % UINT_MAX != 0));
247 verify (INT_REMAINDER_OVERFLOW (INT_MIN, ULONG_MAX)
248 == (INT_MIN % ULONG_MAX != 1));
249 verify (! INT_REMAINDER_OVERFLOW (1u, -1));
250 verify (! INT_REMAINDER_OVERFLOW (37*39u, -39));
251 verify (INT_REMAINDER_OVERFLOW (37*39u + 1, -39));
252 verify (INT_REMAINDER_OVERFLOW (37*39u - 1, -39));
253 verify (! INT_REMAINDER_OVERFLOW (LONG_MAX, -INT_MAX));