1 /* Test intprops.h.
2    Copyright (C) 2011-2018 Free Software Foundation, Inc.
3 
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.
8 
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.
13 
14    You should have received a copy of the GNU General Public License
15    along with this program.  If not, see <https://www.gnu.org/licenses/>.  */
16 
17 /* Written by Paul Eggert.  */
18 
19 /* Tell gcc not to warn about the long expressions that the overflow
20    macros expand to, or about the (X < 0) expressions.  */
21 #if 4 < __GNUC__ + (3 <= __GNUC_MINOR__)
22 # pragma GCC diagnostic ignored "-Woverlength-strings"
23 # pragma GCC diagnostic ignored "-Wtype-limits"
24 
25 /* Work around a bug in GCC 6.1 and earlier; see:
26    https://gcc.gnu.org/bugzilla/show_bug.cgi?id=68971  */
27 # pragma GCC diagnostic ignored "-Woverflow"
28 
29 #endif
30 
31 #include <config.h>
32 
33 #include "intprops.h"
34 #include "verify.h"
35 
36 #include <stdbool.h>
37 #include <inttypes.h>
38 #include <limits.h>
39 
40 #include "macros.h"
41 
42 /* VERIFY (X) uses a static assertion for compilers that are known to work,
43    and falls back on a dynamic assertion for other compilers.
44    These tests should be checkable via 'verify' rather than 'ASSERT', but
45    using 'verify' would run into a bug with HP-UX 11.23 cc; see
46    <https://lists.gnu.org/r/bug-gnulib/2011-05/msg00401.html>.  */
47 #if __GNUC__ || __SUNPRO_C
48 # define VERIFY(x) do { verify (x); } while (0)
49 #else
50 # define VERIFY(x) ASSERT (x)
51 #endif
52 
53 #define DONTCARE __LINE__
54 
55 int
main(void)56 main (void)
57 {
58   /* Use VERIFY for tests that must be integer constant expressions,
59      ASSERT otherwise.  */
60 
61   /* TYPE_IS_INTEGER.  */
62   ASSERT (TYPE_IS_INTEGER (bool));
63   ASSERT (TYPE_IS_INTEGER (char));
64   ASSERT (TYPE_IS_INTEGER (signed char));
65   ASSERT (TYPE_IS_INTEGER (unsigned char));
66   ASSERT (TYPE_IS_INTEGER (short int));
67   ASSERT (TYPE_IS_INTEGER (unsigned short int));
68   ASSERT (TYPE_IS_INTEGER (int));
69   ASSERT (TYPE_IS_INTEGER (unsigned int));
70   ASSERT (TYPE_IS_INTEGER (long int));
71   ASSERT (TYPE_IS_INTEGER (unsigned long int));
72   ASSERT (TYPE_IS_INTEGER (intmax_t));
73   ASSERT (TYPE_IS_INTEGER (uintmax_t));
74   ASSERT (! TYPE_IS_INTEGER (float));
75   ASSERT (! TYPE_IS_INTEGER (double));
76   ASSERT (! TYPE_IS_INTEGER (long double));
77 
78   /* TYPE_SIGNED.  */
79   /* VERIFY (! TYPE_SIGNED (bool)); // not guaranteed by gnulib substitute */
80   VERIFY (TYPE_SIGNED (signed char));
81   VERIFY (! TYPE_SIGNED (unsigned char));
82   VERIFY (TYPE_SIGNED (short int));
83   VERIFY (! TYPE_SIGNED (unsigned short int));
84   VERIFY (TYPE_SIGNED (int));
85   VERIFY (! TYPE_SIGNED (unsigned int));
86   VERIFY (TYPE_SIGNED (long int));
87   VERIFY (! TYPE_SIGNED (unsigned long int));
88   VERIFY (TYPE_SIGNED (intmax_t));
89   VERIFY (! TYPE_SIGNED (uintmax_t));
90   ASSERT (TYPE_SIGNED (float));
91   ASSERT (TYPE_SIGNED (double));
92   ASSERT (TYPE_SIGNED (long double));
93 
94   /* Integer representation.  Check that it is two's complement.  */
95   VERIFY (INT_MIN + INT_MAX < 0);
96 
97   /* TYPE_MINIMUM, TYPE_MAXIMUM.  */
98   VERIFY (TYPE_MINIMUM (char) == CHAR_MIN);
99   VERIFY (TYPE_MAXIMUM (char) == CHAR_MAX);
100   VERIFY (TYPE_MINIMUM (unsigned char) == 0);
101   VERIFY (TYPE_MAXIMUM (unsigned char) == UCHAR_MAX);
102   VERIFY (TYPE_MINIMUM (signed char) == SCHAR_MIN);
103   VERIFY (TYPE_MAXIMUM (signed char) == SCHAR_MAX);
104   VERIFY (TYPE_MINIMUM (short int) == SHRT_MIN);
105   VERIFY (TYPE_MAXIMUM (short int) == SHRT_MAX);
106   VERIFY (TYPE_MINIMUM (unsigned short int) == 0);
107   VERIFY (TYPE_MAXIMUM (unsigned short int) == USHRT_MAX);
108   VERIFY (TYPE_MINIMUM (int) == INT_MIN);
109   VERIFY (TYPE_MAXIMUM (int) == INT_MAX);
110   VERIFY (TYPE_MINIMUM (unsigned int) == 0);
111   VERIFY (TYPE_MAXIMUM (unsigned int) == UINT_MAX);
112   VERIFY (TYPE_MINIMUM (long int) == LONG_MIN);
113   VERIFY (TYPE_MAXIMUM (long int) == LONG_MAX);
114   VERIFY (TYPE_MINIMUM (unsigned long int) == 0);
115   VERIFY (TYPE_MAXIMUM (unsigned long int) == ULONG_MAX);
116   #ifdef LLONG_MAX
117    verify (TYPE_MINIMUM (long long int) == LLONG_MIN);
118    verify (TYPE_MAXIMUM (long long int) == LLONG_MAX);
119   #endif
120   VERIFY (TYPE_MINIMUM (intmax_t) == INTMAX_MIN);
121   VERIFY (TYPE_MAXIMUM (intmax_t) == INTMAX_MAX);
122   VERIFY (TYPE_MINIMUM (uintmax_t) == 0);
123   VERIFY (TYPE_MAXIMUM (uintmax_t) == UINTMAX_MAX);
124 
125   /* TYPE_WIDTH.  */
126   #ifdef CHAR_WIDTH
127    verify (TYPE_WIDTH (char) == CHAR_WIDTH);
128    verify (TYPE_WIDTH (signed char) == SCHAR_WIDTH);
129    verify (TYPE_WIDTH (unsigned char) == UCHAR_WIDTH);
130    verify (TYPE_WIDTH (short int) == SHRT_WIDTH);
131    verify (TYPE_WIDTH (unsigned short int) == USHRT_WIDTH);
132    verify (TYPE_WIDTH (int) == INT_WIDTH);
133    verify (TYPE_WIDTH (unsigned int) == UINT_WIDTH);
134    verify (TYPE_WIDTH (long int) == LONG_WIDTH);
135    verify (TYPE_WIDTH (unsigned long int) == ULONG_WIDTH);
136    #ifdef LLONG_WIDTH
137     verify (TYPE_WIDTH (long long int) == LLONG_WIDTH);
138     verify (TYPE_WIDTH (unsigned long long int) == ULLONG_WIDTH);
139    #endif
140   #endif
141 
142   /* INT_BITS_STRLEN_BOUND.  */
143   VERIFY (INT_BITS_STRLEN_BOUND (1) == 1);
144   VERIFY (INT_BITS_STRLEN_BOUND (2620) == 789);
145 
146   /* INT_STRLEN_BOUND, INT_BUFSIZE_BOUND.  */
147   #ifdef INT32_MAX /* POSIX guarantees int32_t; this ports to non-POSIX.  */
148   VERIFY (INT_STRLEN_BOUND (int32_t) == sizeof ("-2147483648") - 1);
149   VERIFY (INT_BUFSIZE_BOUND (int32_t) == sizeof ("-2147483648"));
150   #endif
151   #ifdef INT64_MAX
152   VERIFY (INT_STRLEN_BOUND (int64_t) == sizeof ("-9223372036854775808") - 1);
153   VERIFY (INT_BUFSIZE_BOUND (int64_t) == sizeof ("-9223372036854775808"));
154   #endif
155 
156   /* All the INT_<op>_RANGE_OVERFLOW tests are equally valid as
157      INT_<op>_OVERFLOW tests, so define macros to do both.  OP is the
158      operation, OPNAME its symbolic name, A and B its operands, T the
159      result type, V the overflow flag, and VRES the result if V and if
160      two's complement.  CHECK_BINOP is for most binary operatinos,
161      CHECK_SBINOP for binary +, -, * when the result type is signed,
162      and CHECK_UNOP for unary operations.  */
163   #define CHECK_BINOP(op, opname, a, b, t, v, vres)                       \
164     VERIFY (INT_##opname##_RANGE_OVERFLOW (a, b, TYPE_MINIMUM (t),        \
165                                            TYPE_MAXIMUM (t))              \
166             == (v));                                                      \
167     VERIFY (INT_##opname##_OVERFLOW (a, b) == (v))
168   #define CHECK_SBINOP(op, opname, a, b, t, v, vres)                      \
169     CHECK_BINOP(op, opname, a, b, t, v, vres);                            \
170     {                                                                     \
171       t result;                                                           \
172       ASSERT (INT_##opname##_WRAPV (a, b, &result) == (v));               \
173       ASSERT (result == ((v) ? (vres) : ((a) op (b))));                   \
174     }
175   #define CHECK_UNOP(op, opname, a, t, v)                                 \
176     VERIFY (INT_##opname##_RANGE_OVERFLOW (a, TYPE_MINIMUM (t),           \
177                                            TYPE_MAXIMUM (t))              \
178             == (v));                                                      \
179     VERIFY (INT_##opname##_OVERFLOW (a) == (v))
180 
181   /* INT_<op>_RANGE_OVERFLOW, INT_<op>_OVERFLOW.  */
182   VERIFY (INT_ADD_RANGE_OVERFLOW (INT_MAX, 1, INT_MIN, INT_MAX));
183   VERIFY (INT_ADD_OVERFLOW (INT_MAX, 1));
184 
185   CHECK_SBINOP (+, ADD, INT_MAX, 1, int, true, INT_MIN);
186   CHECK_SBINOP (+, ADD, INT_MAX, -1, int, false, INT_MAX - 1);
187   CHECK_SBINOP (+, ADD, INT_MIN, 1, int, false, INT_MIN + 1);
188   CHECK_SBINOP (+, ADD, INT_MIN, -1, int, true, INT_MAX);
189   CHECK_BINOP (+, ADD, UINT_MAX, 1u, unsigned int, true, 0u);
190   CHECK_BINOP (+, ADD, 0u, 1u, unsigned int, false, 1u);
191 
192   CHECK_SBINOP (-, SUBTRACT, INT_MAX, 1, int, false, INT_MAX - 1);
193   CHECK_SBINOP (-, SUBTRACT, INT_MAX, -1, int, true, INT_MIN);
194   CHECK_SBINOP (-, SUBTRACT, INT_MIN, 1, int, true, INT_MAX);
195   CHECK_SBINOP (-, SUBTRACT, INT_MIN, -1, int, false, INT_MIN - -1);
196   CHECK_BINOP (-, SUBTRACT, UINT_MAX, 1u, unsigned int, false, UINT_MAX - 1u);
197   CHECK_BINOP (-, SUBTRACT, 0u, 1u, unsigned int, true, 0u - 1u);
198 
199   CHECK_UNOP (-, NEGATE, INT_MIN, int, true);
200   CHECK_UNOP (-, NEGATE, 0, int, false);
201   CHECK_UNOP (-, NEGATE, INT_MAX, int, false);
202   CHECK_UNOP (-, NEGATE, 0u, unsigned int, false);
203   CHECK_UNOP (-, NEGATE, 1u, unsigned int, true);
204   CHECK_UNOP (-, NEGATE, UINT_MAX, unsigned int, true);
205 
206   CHECK_SBINOP (*, MULTIPLY, INT_MAX, INT_MAX, int, true, 1);
207   CHECK_SBINOP (*, MULTIPLY, INT_MAX, INT_MIN, int, true, INT_MIN);
208   CHECK_SBINOP (*, MULTIPLY, INT_MIN, INT_MAX, int, true, INT_MIN);
209   CHECK_SBINOP (*, MULTIPLY, INT_MIN, INT_MIN, int, true, 0);
210   CHECK_SBINOP (*, MULTIPLY, -1, INT_MIN, int,
211                 INT_NEGATE_OVERFLOW (INT_MIN), INT_MIN);
212   CHECK_SBINOP (*, MULTIPLY, LONG_MIN / INT_MAX, (long int) INT_MAX,
213                 long int, false, LONG_MIN - LONG_MIN % INT_MAX);
214 
215   CHECK_BINOP (/, DIVIDE, INT_MIN, -1, int,
216                INT_NEGATE_OVERFLOW (INT_MIN), INT_MIN);
217   CHECK_BINOP (/, DIVIDE, INT_MAX, 1, int, false, INT_MAX);
218   CHECK_BINOP (/, DIVIDE, (unsigned int) INT_MIN, -1u, unsigned int,
219                false, INT_MIN / -1u);
220 
221   CHECK_BINOP (%, REMAINDER, INT_MIN, -1, int, INT_NEGATE_OVERFLOW (INT_MIN), 0);
222   CHECK_BINOP (%, REMAINDER, INT_MAX, 1, int, false, 0);
223   CHECK_BINOP (%, REMAINDER, (unsigned int) INT_MIN, -1u, unsigned int,
224                false, INT_MIN % -1u);
225 
226   CHECK_BINOP (<<, LEFT_SHIFT, UINT_MAX, 1, unsigned int, true, UINT_MAX << 1);
227   CHECK_BINOP (<<, LEFT_SHIFT, UINT_MAX / 2 + 1, 1, unsigned int, true,
228                (UINT_MAX / 2 + 1) << 1);
229   CHECK_BINOP (<<, LEFT_SHIFT, UINT_MAX / 2, 1, unsigned int, false,
230                (UINT_MAX / 2) << 1);
231 
232   /* INT_<op>_OVERFLOW and INT_<op>_WRAPV with mixed types.  */
233   #define CHECK_SUM(a, b, t, v, vres)                                     \
234     CHECK_SUM1(a, b, t, v, vres);                                         \
235     CHECK_SUM1(b, a, t, v, vres)
236   #define CHECK_SSUM(a, b, t, v, vres)                                    \
237     CHECK_SSUM1(a, b, t, v, vres);                                        \
238     CHECK_SSUM1(b, a, t, v, vres)
239   #define CHECK_SUM1(a, b, t, v, vres)                                    \
240     VERIFY (INT_ADD_OVERFLOW (a, b) == (v))
241   #define CHECK_SSUM1(a, b, t, v, vres)                                   \
242     CHECK_SUM1(a, b, t, v, vres);                                         \
243     {                                                                     \
244       t result;                                                           \
245       ASSERT (INT_ADD_WRAPV (a, b, &result) == (v));                      \
246       ASSERT (result == ((v) ? (vres) : ((a) + (b))));                    \
247     }
248   CHECK_SSUM (-1, LONG_MIN, long int, true, LONG_MAX);
249   CHECK_SUM (-1, UINT_MAX, unsigned int, false, DONTCARE);
250   CHECK_SSUM (-1L, INT_MIN, long int, INT_MIN == LONG_MIN,
251               INT_MIN == LONG_MIN ? INT_MAX : DONTCARE);
252   CHECK_SUM (0u, -1, unsigned int, true, 0u + -1);
253   CHECK_SUM (0u, 0, unsigned int, false, DONTCARE);
254   CHECK_SUM (0u, 1, unsigned int, false, DONTCARE);
255   CHECK_SSUM (1, LONG_MAX, long int, true, LONG_MIN);
256   CHECK_SUM (1, UINT_MAX, unsigned int, true, 0u);
257   CHECK_SSUM (1L, INT_MAX, long int, INT_MAX == LONG_MAX,
258               INT_MAX == LONG_MAX ? INT_MIN : DONTCARE);
259   CHECK_SUM (1u, INT_MAX, unsigned int, INT_MAX == UINT_MAX, 1u + INT_MAX);
260   CHECK_SUM (1u, INT_MIN, unsigned int, true, 1u + INT_MIN);
261   {
262     long int result;
263     ASSERT (INT_ADD_WRAPV (1, INT_MAX, &result) == (INT_MAX == LONG_MAX));
264     ASSERT (INT_ADD_WRAPV (-1, INT_MIN, &result) == (INT_MIN == LONG_MIN));
265   }
266 
267   #define CHECK_DIFFERENCE(a, b, t, v, vres)                              \
268     VERIFY (INT_SUBTRACT_OVERFLOW (a, b) == (v))
269   #define CHECK_SDIFFERENCE(a, b, t, v, vres)                             \
270     CHECK_DIFFERENCE(a, b, t, v, vres);                                   \
271     {                                                                     \
272       t result;                                                           \
273       ASSERT (INT_SUBTRACT_WRAPV (a, b, &result) == (v));                 \
274       ASSERT (result == ((v) ? (vres) : ((a) - (b))));                    \
275     }
276   CHECK_DIFFERENCE (INT_MAX, 1u, unsigned int, UINT_MAX < INT_MAX - 1,
277                     INT_MAX - 1u);
278   CHECK_DIFFERENCE (UINT_MAX, 1, unsigned int, false, UINT_MAX - 1);
279   CHECK_DIFFERENCE (0u, -1, unsigned int, false, 0u - -1);
280   CHECK_DIFFERENCE (UINT_MAX, -1, unsigned int, true, UINT_MAX - -1);
281   CHECK_DIFFERENCE (INT_MIN, 1u, unsigned int, true, INT_MIN - 1u);
282   CHECK_DIFFERENCE (-1, 0u, unsigned int, true, -1 - 0u);
283   CHECK_SDIFFERENCE (-1, INT_MIN, int, false, -1 - INT_MIN);
284   CHECK_SDIFFERENCE (-1, INT_MAX, int, false, -1 - INT_MAX);
285   CHECK_SDIFFERENCE (0, INT_MIN, int, INT_MIN < -INT_MAX, INT_MIN);
286   CHECK_SDIFFERENCE (0, INT_MAX, int, false, 0 - INT_MAX);
287   {
288     long int result;
289     ASSERT (INT_SUBTRACT_WRAPV (INT_MAX, -1, &result) == (INT_MAX == LONG_MAX));
290     ASSERT (INT_SUBTRACT_WRAPV (INT_MIN, 1, &result) == (INT_MAX == LONG_MAX));
291   }
292 
293   #define CHECK_PRODUCT(a, b, t, v, vres)                                 \
294     CHECK_PRODUCT1(a, b, t, v, vres);                                     \
295     CHECK_PRODUCT1(b, a, t, v, vres)
296   #define CHECK_SPRODUCT(a, b, t, v, vres)                                \
297     CHECK_SPRODUCT1(a, b, t, v, vres);                                    \
298     CHECK_SPRODUCT1(b, a, t, v, vres)
299   #define CHECK_PRODUCT1(a, b, t, v, vres)                                \
300     VERIFY (INT_MULTIPLY_OVERFLOW (a, b) == (v))
301   #define CHECK_SPRODUCT1(a, b, t, v, vres)                               \
302     CHECK_PRODUCT1(a, b, t, v, vres);                                     \
303     {                                                                     \
304       t result;                                                           \
305       ASSERT (INT_MULTIPLY_WRAPV (a, b, &result) == (v));                 \
306       ASSERT (result == ((v) ? (vres) : ((a) * (b))));                    \
307     }
308   CHECK_PRODUCT (-1, 1u, unsigned int, true, -1 * 1u);
309   CHECK_SPRODUCT (-1, INT_MIN, int, INT_NEGATE_OVERFLOW (INT_MIN), INT_MIN);
310   CHECK_PRODUCT (-1, UINT_MAX, unsigned int, true, -1 * UINT_MAX);
311   CHECK_SPRODUCT (-32768, LONG_MAX / -32768 - 1, long int, true, LONG_MIN);
312   CHECK_SPRODUCT (-12345, LONG_MAX / -12345, long int, false, DONTCARE);
313   CHECK_SPRODUCT (0, -1, int, false, DONTCARE);
314   CHECK_SPRODUCT (0, 0, int, false, DONTCARE);
315   CHECK_PRODUCT (0, 0u, unsigned int, false, DONTCARE);
316   CHECK_SPRODUCT (0, 1, int, false, DONTCARE);
317   CHECK_SPRODUCT (0, INT_MAX, int, false, DONTCARE);
318   CHECK_SPRODUCT (0, INT_MIN, int, false, DONTCARE);
319   CHECK_PRODUCT (0, UINT_MAX, unsigned int, false, DONTCARE);
320   CHECK_PRODUCT (0u, -1, unsigned int, false, DONTCARE);
321   CHECK_PRODUCT (0u, 0, unsigned int, false, DONTCARE);
322   CHECK_PRODUCT (0u, 0u, unsigned int, false, DONTCARE);
323   CHECK_PRODUCT (0u, 1, unsigned int, false, DONTCARE);
324   CHECK_PRODUCT (0u, INT_MAX, unsigned int, false, DONTCARE);
325   CHECK_PRODUCT (0u, INT_MIN, unsigned int, false, DONTCARE);
326   CHECK_PRODUCT (0u, UINT_MAX, unsigned int, false, DONTCARE);
327   CHECK_SPRODUCT (1, INT_MAX, int, false, DONTCARE);
328   CHECK_SPRODUCT (1, INT_MIN, int, false, DONTCARE);
329   CHECK_PRODUCT (1, UINT_MAX, unsigned int, false, DONTCARE);
330   CHECK_PRODUCT (1u, INT_MIN, unsigned int, true, 1u * INT_MIN);
331   CHECK_PRODUCT (1u, INT_MAX, unsigned int, UINT_MAX < INT_MAX, 1u * INT_MAX);
332   CHECK_PRODUCT (INT_MAX, UINT_MAX, unsigned int, true, INT_MAX * UINT_MAX);
333   CHECK_PRODUCT (INT_MAX, ULONG_MAX, unsigned long int, true,
334                  INT_MAX * ULONG_MAX);
335   CHECK_SPRODUCT (INT_MIN, LONG_MAX / INT_MIN - 1, long int, true, LONG_MIN);
336   CHECK_SPRODUCT (INT_MIN, LONG_MAX / INT_MIN, long int, false, DONTCARE);
337   CHECK_PRODUCT (INT_MIN, UINT_MAX, unsigned int, true, INT_MIN * UINT_MAX);
338   CHECK_PRODUCT (INT_MIN, ULONG_MAX, unsigned long int, true,
339                  INT_MIN * ULONG_MAX);
340   {
341     long int result;
342     ASSERT (INT_MULTIPLY_WRAPV (INT_MAX, INT_MAX, &result)
343             == (LONG_MAX / INT_MAX < INT_MAX));
344     ASSERT (INT_MULTIPLY_WRAPV (INT_MAX, INT_MAX, &result)
345             || result == INT_MAX * (long int) INT_MAX);
346     ASSERT (INT_MULTIPLY_WRAPV (INT_MIN, INT_MIN, &result)
347             || result == INT_MIN * (long int) INT_MIN);
348   }
349 
350 # ifdef LLONG_MAX
351   {
352     long long int result;
353     ASSERT (INT_MULTIPLY_WRAPV (LONG_MAX, LONG_MAX, &result)
354             == (LLONG_MAX / LONG_MAX < LONG_MAX));
355     ASSERT (INT_MULTIPLY_WRAPV (LONG_MAX, LONG_MAX, &result)
356             || result == LONG_MAX * (long long int) LONG_MAX);
357     ASSERT (INT_MULTIPLY_WRAPV (LONG_MIN, LONG_MIN, &result)
358             || result == LONG_MIN * (long long int) LONG_MIN);
359   }
360 # endif
361 
362   #define CHECK_QUOTIENT(a, b, v) VERIFY (INT_DIVIDE_OVERFLOW (a, b) == (v))
363 
364   CHECK_QUOTIENT (INT_MIN, -1L, INT_MIN == LONG_MIN);
365   CHECK_QUOTIENT (INT_MIN, UINT_MAX, false);
366   CHECK_QUOTIENT (INTMAX_MIN, UINTMAX_MAX, false);
367   CHECK_QUOTIENT (INTMAX_MIN, UINT_MAX, false);
368   CHECK_QUOTIENT (-11, 10u, true);
369   CHECK_QUOTIENT (-10, 10u, true);
370   CHECK_QUOTIENT (-9, 10u, false);
371   CHECK_QUOTIENT (11u, -10, true);
372   CHECK_QUOTIENT (10u, -10, true);
373   CHECK_QUOTIENT (9u, -10, false);
374 
375   #define CHECK_REMAINDER(a, b, v) VERIFY (INT_REMAINDER_OVERFLOW (a, b) == (v))
376 
377   CHECK_REMAINDER (INT_MIN, -1L, INT_MIN == LONG_MIN);
378   CHECK_REMAINDER (-1, UINT_MAX, true);
379   CHECK_REMAINDER ((intmax_t) -1, UINTMAX_MAX, true);
380   CHECK_REMAINDER (INTMAX_MIN, UINT_MAX,
381                    (INTMAX_MAX < UINT_MAX
382                     && - (unsigned int) INTMAX_MIN % UINT_MAX != 0));
383   CHECK_REMAINDER (INT_MIN, ULONG_MAX, INT_MIN % ULONG_MAX != 1);
384   CHECK_REMAINDER (1u, -1, false);
385   CHECK_REMAINDER (37*39u, -39, false);
386   CHECK_REMAINDER (37*39u + 1, -39, true);
387   CHECK_REMAINDER (37*39u - 1, -39, true);
388   CHECK_REMAINDER (LONG_MAX, -INT_MAX, false);
389 
390   return 0;
391 }
392