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-/* intprops.h -- properties of integer types
-
- Copyright (C) 2001-2022 Free Software Foundation, Inc.
-
- This program is free software: you can redistribute it and/or modify it
- under the terms of the GNU Lesser General Public License as published
- by the Free Software Foundation; either version 2.1 of the License, or
- (at your option) any later version.
-
- This program is distributed in the hope that it will be useful,
- but WITHOUT ANY WARRANTY; without even the implied warranty of
- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
- GNU Lesser General Public License for more details.
-
- You should have received a copy of the GNU Lesser General Public License
- along with this program. If not, see <https://www.gnu.org/licenses/>. */
-
-
-#ifndef _GL_INTPROPS_H
-#define _GL_INTPROPS_H
-
-#include <limits.h>
-
-/* Return a value with the common real type of E and V and the value of V.
- Do not evaluate E. */
-#define _GL_INT_CONVERT(e, v) ((1 ? 0 : (e)) + (v))
-
-/* Act like _GL_INT_CONVERT (E, -V) but work around a bug in IRIX 6.5 cc; see
- <https://lists.gnu.org/r/bug-gnulib/2011-05/msg00406.html>. */
-#define _GL_INT_NEGATE_CONVERT(e, v) ((1 ? 0 : (e)) - (v))
-
-/* The extra casts in the following macros work around compiler bugs,
- e.g., in Cray C 5.0.3.0. */
-
-/* True if the arithmetic type T is an integer type. bool counts as
- an integer. */
-#define TYPE_IS_INTEGER(t) ((t) 1.5 == 1)
-
-/* True if the real type T is signed. */
-#define TYPE_SIGNED(t) (! ((t) 0 < (t) -1))
-
-/* Return 1 if the real expression E, after promotion, has a
- signed or floating type. Do not evaluate E. */
-#define EXPR_SIGNED(e) (_GL_INT_NEGATE_CONVERT (e, 1) < 0)
-
-
-/* Minimum and maximum values for integer types and expressions. */
-
-/* The width in bits of the integer type or expression T.
- Do not evaluate T. T must not be a bit-field expression.
- Padding bits are not supported; this is checked at compile-time below. */
-#define TYPE_WIDTH(t) (sizeof (t) * CHAR_BIT)
-
-/* The maximum and minimum values for the integer type T. */
-#define TYPE_MINIMUM(t) ((t) ~ TYPE_MAXIMUM (t))
-#define TYPE_MAXIMUM(t) \
- ((t) (! TYPE_SIGNED (t) \
- ? (t) -1 \
- : ((((t) 1 << (TYPE_WIDTH (t) - 2)) - 1) * 2 + 1)))
-
-/* The maximum and minimum values for the type of the expression E,
- after integer promotion. E is not evaluated. */
-#define _GL_INT_MINIMUM(e) \
- (EXPR_SIGNED (e) \
- ? ~ _GL_SIGNED_INT_MAXIMUM (e) \
- : _GL_INT_CONVERT (e, 0))
-#define _GL_INT_MAXIMUM(e) \
- (EXPR_SIGNED (e) \
- ? _GL_SIGNED_INT_MAXIMUM (e) \
- : _GL_INT_NEGATE_CONVERT (e, 1))
-#define _GL_SIGNED_INT_MAXIMUM(e) \
- (((_GL_INT_CONVERT (e, 1) << (TYPE_WIDTH (+ (e)) - 2)) - 1) * 2 + 1)
-
-/* Work around OpenVMS incompatibility with C99. */
-#if !defined LLONG_MAX && defined __INT64_MAX
-# define LLONG_MAX __INT64_MAX
-# define LLONG_MIN __INT64_MIN
-#endif
-
-/* This include file assumes that signed types are two's complement without
- padding bits; the above macros have undefined behavior otherwise.
- If this is a problem for you, please let us know how to fix it for your host.
- This assumption is tested by the intprops-tests module. */
-
-/* Does the __typeof__ keyword work? This could be done by
- 'configure', but for now it's easier to do it by hand. */
-#if (2 <= __GNUC__ \
- || (4 <= __clang_major__) \
- || (1210 <= __IBMC__ && defined __IBM__TYPEOF__) \
- || (0x5110 <= __SUNPRO_C && !__STDC__))
-# define _GL_HAVE___TYPEOF__ 1
-#else
-# define _GL_HAVE___TYPEOF__ 0
-#endif
-
-/* Return 1 if the integer type or expression T might be signed. Return 0
- if it is definitely unsigned. T must not be a bit-field expression.
- This macro does not evaluate its argument, and expands to an
- integer constant expression. */
-#if _GL_HAVE___TYPEOF__
-# define _GL_SIGNED_TYPE_OR_EXPR(t) TYPE_SIGNED (__typeof__ (t))
-#else
-# define _GL_SIGNED_TYPE_OR_EXPR(t) 1
-#endif
-
-/* Bound on length of the string representing an unsigned integer
- value representable in B bits. log10 (2.0) < 146/485. The
- smallest value of B where this bound is not tight is 2621. */
-#define INT_BITS_STRLEN_BOUND(b) (((b) * 146 + 484) / 485)
-
-/* Bound on length of the string representing an integer type or expression T.
- T must not be a bit-field expression.
-
- Subtract 1 for the sign bit if T is signed, and then add 1 more for
- a minus sign if needed.
-
- Because _GL_SIGNED_TYPE_OR_EXPR sometimes returns 1 when its argument is
- unsigned, this macro may overestimate the true bound by one byte when
- applied to unsigned types of size 2, 4, 16, ... bytes. */
-#define INT_STRLEN_BOUND(t) \
- (INT_BITS_STRLEN_BOUND (TYPE_WIDTH (t) - _GL_SIGNED_TYPE_OR_EXPR (t)) \
- + _GL_SIGNED_TYPE_OR_EXPR (t))
-
-/* Bound on buffer size needed to represent an integer type or expression T,
- including the terminating null. T must not be a bit-field expression. */
-#define INT_BUFSIZE_BOUND(t) (INT_STRLEN_BOUND (t) + 1)
-
-
-/* Range overflow checks.
-
- The INT_<op>_RANGE_OVERFLOW macros return 1 if the corresponding C
- operators might not yield numerically correct answers due to
- arithmetic overflow. They do not rely on undefined or
- implementation-defined behavior. Their implementations are simple
- and straightforward, but they are harder to use and may be less
- efficient than the INT_<op>_WRAPV, INT_<op>_OK, and
- INT_<op>_OVERFLOW macros described below.
-
- Example usage:
-
- long int i = ...;
- long int j = ...;
- if (INT_MULTIPLY_RANGE_OVERFLOW (i, j, LONG_MIN, LONG_MAX))
- printf ("multiply would overflow");
- else
- printf ("product is %ld", i * j);
-
- Restrictions on *_RANGE_OVERFLOW macros:
-
- These macros do not check for all possible numerical problems or
- undefined or unspecified behavior: they do not check for division
- by zero, for bad shift counts, or for shifting negative numbers.
-
- These macros may evaluate their arguments zero or multiple times,
- so the arguments should not have side effects. The arithmetic
- arguments (including the MIN and MAX arguments) must be of the same
- integer type after the usual arithmetic conversions, and the type
- must have minimum value MIN and maximum MAX. Unsigned types should
- use a zero MIN of the proper type.
-
- Because all arguments are subject to integer promotions, these
- macros typically do not work on types narrower than 'int'.
-
- These macros are tuned for constant MIN and MAX. For commutative
- operations such as A + B, they are also tuned for constant B. */
-
-/* Return 1 if A + B would overflow in [MIN,MAX] arithmetic.
- See above for restrictions. */
-#define INT_ADD_RANGE_OVERFLOW(a, b, min, max) \
- ((b) < 0 \
- ? (a) < (min) - (b) \
- : (max) - (b) < (a))
-
-/* Return 1 if A - B would overflow in [MIN,MAX] arithmetic.
- See above for restrictions. */
-#define INT_SUBTRACT_RANGE_OVERFLOW(a, b, min, max) \
- ((b) < 0 \
- ? (max) + (b) < (a) \
- : (a) < (min) + (b))
-
-/* Return 1 if - A would overflow in [MIN,MAX] arithmetic.
- See above for restrictions. */
-#define INT_NEGATE_RANGE_OVERFLOW(a, min, max) \
- ((min) < 0 \
- ? (a) < - (max) \
- : 0 < (a))
-
-/* Return 1 if A * B would overflow in [MIN,MAX] arithmetic.
- See above for restrictions. Avoid && and || as they tickle
- bugs in Sun C 5.11 2010/08/13 and other compilers; see
- <https://lists.gnu.org/r/bug-gnulib/2011-05/msg00401.html>. */
-#define INT_MULTIPLY_RANGE_OVERFLOW(a, b, min, max) \
- ((b) < 0 \
- ? ((a) < 0 \
- ? (a) < (max) / (b) \
- : (b) == -1 \
- ? 0 \
- : (min) / (b) < (a)) \
- : (b) == 0 \
- ? 0 \
- : ((a) < 0 \
- ? (a) < (min) / (b) \
- : (max) / (b) < (a)))
-
-/* Return 1 if A / B would overflow in [MIN,MAX] arithmetic.
- See above for restrictions. Do not check for division by zero. */
-#define INT_DIVIDE_RANGE_OVERFLOW(a, b, min, max) \
- ((min) < 0 && (b) == -1 && (a) < - (max))
-
-/* Return 1 if A % B would overflow in [MIN,MAX] arithmetic.
- See above for restrictions. Do not check for division by zero.
- Mathematically, % should never overflow, but on x86-like hosts
- INT_MIN % -1 traps, and the C standard permits this, so treat this
- as an overflow too. */
-#define INT_REMAINDER_RANGE_OVERFLOW(a, b, min, max) \
- INT_DIVIDE_RANGE_OVERFLOW (a, b, min, max)
-
-/* Return 1 if A << B would overflow in [MIN,MAX] arithmetic.
- See above for restrictions. Here, MIN and MAX are for A only, and B need
- not be of the same type as the other arguments. The C standard says that
- behavior is undefined for shifts unless 0 <= B < wordwidth, and that when
- A is negative then A << B has undefined behavior and A >> B has
- implementation-defined behavior, but do not check these other
- restrictions. */
-#define INT_LEFT_SHIFT_RANGE_OVERFLOW(a, b, min, max) \
- ((a) < 0 \
- ? (a) < (min) >> (b) \
- : (max) >> (b) < (a))
-
-/* True if __builtin_add_overflow (A, B, P) and __builtin_sub_overflow
- (A, B, P) work when P is non-null. */
-#if defined __has_builtin
-# define _GL_HAS_BUILTIN_ADD_OVERFLOW __has_builtin (__builtin_add_overflow)
-/* __builtin_{add,sub}_overflow exists but is not reliable in GCC 5.x and 6.x,
- see <https://gcc.gnu.org/bugzilla/show_bug.cgi?id=98269>. */
-#elif 7 <= __GNUC__ && !defined __EDG__
-# define _GL_HAS_BUILTIN_ADD_OVERFLOW 1
-#else
-# define _GL_HAS_BUILTIN_ADD_OVERFLOW 0
-#endif
-
-/* True if __builtin_mul_overflow (A, B, P) works when P is non-null. */
-#if defined __clang_major__ && __clang_major__ < 14
-/* Work around Clang bug <https://bugs.llvm.org/show_bug.cgi?id=16404>. */
-# define _GL_HAS_BUILTIN_MUL_OVERFLOW 0
-#else
-# define _GL_HAS_BUILTIN_MUL_OVERFLOW _GL_HAS_BUILTIN_ADD_OVERFLOW
-#endif
-
-/* True if __builtin_add_overflow_p (A, B, C) works, and similarly for
- __builtin_sub_overflow_p and __builtin_mul_overflow_p. */
-#ifdef __EDG__
-/* In EDG-based compilers like ICC 2021.3 and earlier,
- __builtin_add_overflow_p etc. are not treated as integral constant
- expressions even when all arguments are. */
-# define _GL_HAS_BUILTIN_OVERFLOW_P 0
-#elif defined __has_builtin
-# define _GL_HAS_BUILTIN_OVERFLOW_P __has_builtin (__builtin_mul_overflow_p)
-#else
-# define _GL_HAS_BUILTIN_OVERFLOW_P (7 <= __GNUC__)
-#endif
-
-/* The _GL*_OVERFLOW macros have the same restrictions as the
- *_RANGE_OVERFLOW macros, except that they do not assume that operands
- (e.g., A and B) have the same type as MIN and MAX. Instead, they assume
- that the result (e.g., A + B) has that type. */
-#if _GL_HAS_BUILTIN_OVERFLOW_P
-# define _GL_ADD_OVERFLOW(a, b, min, max) \
- __builtin_add_overflow_p (a, b, (__typeof__ ((a) + (b))) 0)
-# define _GL_SUBTRACT_OVERFLOW(a, b, min, max) \
- __builtin_sub_overflow_p (a, b, (__typeof__ ((a) - (b))) 0)
-# define _GL_MULTIPLY_OVERFLOW(a, b, min, max) \
- __builtin_mul_overflow_p (a, b, (__typeof__ ((a) * (b))) 0)
-#else
-# define _GL_ADD_OVERFLOW(a, b, min, max) \
- ((min) < 0 ? INT_ADD_RANGE_OVERFLOW (a, b, min, max) \
- : (a) < 0 ? (b) <= (a) + (b) \
- : (b) < 0 ? (a) <= (a) + (b) \
- : (a) + (b) < (b))
-# define _GL_SUBTRACT_OVERFLOW(a, b, min, max) \
- ((min) < 0 ? INT_SUBTRACT_RANGE_OVERFLOW (a, b, min, max) \
- : (a) < 0 ? 1 \
- : (b) < 0 ? (a) - (b) <= (a) \
- : (a) < (b))
-# define _GL_MULTIPLY_OVERFLOW(a, b, min, max) \
- (((min) == 0 && (((a) < 0 && 0 < (b)) || ((b) < 0 && 0 < (a)))) \
- || INT_MULTIPLY_RANGE_OVERFLOW (a, b, min, max))
-#endif
-#define _GL_DIVIDE_OVERFLOW(a, b, min, max) \
- ((min) < 0 ? (b) == _GL_INT_NEGATE_CONVERT (min, 1) && (a) < - (max) \
- : (a) < 0 ? (b) <= (a) + (b) - 1 \
- : (b) < 0 && (a) + (b) <= (a))
-#define _GL_REMAINDER_OVERFLOW(a, b, min, max) \
- ((min) < 0 ? (b) == _GL_INT_NEGATE_CONVERT (min, 1) && (a) < - (max) \
- : (a) < 0 ? (a) % (b) != ((max) - (b) + 1) % (b) \
- : (b) < 0 && ! _GL_UNSIGNED_NEG_MULTIPLE (a, b, max))
-
-/* Return a nonzero value if A is a mathematical multiple of B, where
- A is unsigned, B is negative, and MAX is the maximum value of A's
- type. A's type must be the same as (A % B)'s type. Normally (A %
- -B == 0) suffices, but things get tricky if -B would overflow. */
-#define _GL_UNSIGNED_NEG_MULTIPLE(a, b, max) \
- (((b) < -_GL_SIGNED_INT_MAXIMUM (b) \
- ? (_GL_SIGNED_INT_MAXIMUM (b) == (max) \
- ? (a) \
- : (a) % (_GL_INT_CONVERT (a, _GL_SIGNED_INT_MAXIMUM (b)) + 1)) \
- : (a) % - (b)) \
- == 0)
-
-/* Check for integer overflow, and report low order bits of answer.
-
- The INT_<op>_OVERFLOW macros return 1 if the corresponding C operators
- might not yield numerically correct answers due to arithmetic overflow.
- The INT_<op>_WRAPV macros compute the low-order bits of the sum,
- difference, and product of two C integers, and return 1 if these
- low-order bits are not numerically correct.
- These macros work correctly on all known practical hosts, and do not rely
- on undefined behavior due to signed arithmetic overflow.
-
- Example usage, assuming A and B are long int:
-
- if (INT_MULTIPLY_OVERFLOW (a, b))
- printf ("result would overflow\n");
- else
- printf ("result is %ld (no overflow)\n", a * b);
-
- Example usage with WRAPV flavor:
-
- long int result;
- bool overflow = INT_MULTIPLY_WRAPV (a, b, &result);
- printf ("result is %ld (%s)\n", result,
- overflow ? "after overflow" : "no overflow");
-
- Restrictions on these macros:
-
- These macros do not check for all possible numerical problems or
- undefined or unspecified behavior: they do not check for division
- by zero, for bad shift counts, or for shifting negative numbers.
-
- These macros may evaluate their arguments zero or multiple times, so the
- arguments should not have side effects.
-
- The WRAPV macros are not constant expressions. They support only
- +, binary -, and *.
-
- Because the WRAPV macros convert the result, they report overflow
- in different circumstances than the OVERFLOW macros do. For
- example, in the typical case with 16-bit 'short' and 32-bit 'int',
- if A, B and R are all of type 'short' then INT_ADD_OVERFLOW (A, B)
- returns false because the addition cannot overflow after A and B
- are converted to 'int', whereas INT_ADD_WRAPV (A, B, &R) returns
- true or false depending on whether the sum fits into 'short'.
-
- These macros are tuned for their last input argument being a constant.
-
- Return 1 if the integer expressions A * B, A - B, -A, A * B, A / B,
- A % B, and A << B would overflow, respectively. */
-
-#define INT_ADD_OVERFLOW(a, b) \
- _GL_BINARY_OP_OVERFLOW (a, b, _GL_ADD_OVERFLOW)
-#define INT_SUBTRACT_OVERFLOW(a, b) \
- _GL_BINARY_OP_OVERFLOW (a, b, _GL_SUBTRACT_OVERFLOW)
-#if _GL_HAS_BUILTIN_OVERFLOW_P
-# define INT_NEGATE_OVERFLOW(a) INT_SUBTRACT_OVERFLOW (0, a)
-#else
-# define INT_NEGATE_OVERFLOW(a) \
- INT_NEGATE_RANGE_OVERFLOW (a, _GL_INT_MINIMUM (a), _GL_INT_MAXIMUM (a))
-#endif
-#define INT_MULTIPLY_OVERFLOW(a, b) \
- _GL_BINARY_OP_OVERFLOW (a, b, _GL_MULTIPLY_OVERFLOW)
-#define INT_DIVIDE_OVERFLOW(a, b) \
- _GL_BINARY_OP_OVERFLOW (a, b, _GL_DIVIDE_OVERFLOW)
-#define INT_REMAINDER_OVERFLOW(a, b) \
- _GL_BINARY_OP_OVERFLOW (a, b, _GL_REMAINDER_OVERFLOW)
-#define INT_LEFT_SHIFT_OVERFLOW(a, b) \
- INT_LEFT_SHIFT_RANGE_OVERFLOW (a, b, \
- _GL_INT_MINIMUM (a), _GL_INT_MAXIMUM (a))
-
-/* Return 1 if the expression A <op> B would overflow,
- where OP_RESULT_OVERFLOW (A, B, MIN, MAX) does the actual test,
- assuming MIN and MAX are the minimum and maximum for the result type.
- Arguments should be free of side effects. */
-#define _GL_BINARY_OP_OVERFLOW(a, b, op_result_overflow) \
- op_result_overflow (a, b, \
- _GL_INT_MINIMUM (_GL_INT_CONVERT (a, b)), \
- _GL_INT_MAXIMUM (_GL_INT_CONVERT (a, b)))
-
-/* Store the low-order bits of A + B, A - B, A * B, respectively, into *R.
- Return 1 if the result overflows. See above for restrictions. */
-#if _GL_HAS_BUILTIN_ADD_OVERFLOW
-# define INT_ADD_WRAPV(a, b, r) __builtin_add_overflow (a, b, r)
-# define INT_SUBTRACT_WRAPV(a, b, r) __builtin_sub_overflow (a, b, r)
-#else
-# define INT_ADD_WRAPV(a, b, r) \
- _GL_INT_OP_WRAPV (a, b, r, +, _GL_INT_ADD_RANGE_OVERFLOW)
-# define INT_SUBTRACT_WRAPV(a, b, r) \
- _GL_INT_OP_WRAPV (a, b, r, -, _GL_INT_SUBTRACT_RANGE_OVERFLOW)
-#endif
-#if _GL_HAS_BUILTIN_MUL_OVERFLOW
-# if ((9 < __GNUC__ + (3 <= __GNUC_MINOR__) \
- || (__GNUC__ == 8 && 4 <= __GNUC_MINOR__)) \
- && !defined __EDG__)
-# define INT_MULTIPLY_WRAPV(a, b, r) __builtin_mul_overflow (a, b, r)
-# else
- /* Work around GCC bug 91450. */
-# define INT_MULTIPLY_WRAPV(a, b, r) \
- ((!_GL_SIGNED_TYPE_OR_EXPR (*(r)) && EXPR_SIGNED (a) && EXPR_SIGNED (b) \
- && _GL_INT_MULTIPLY_RANGE_OVERFLOW (a, b, 0, (__typeof__ (*(r))) -1)) \
- ? ((void) __builtin_mul_overflow (a, b, r), 1) \
- : __builtin_mul_overflow (a, b, r))
-# endif
-#else
-# define INT_MULTIPLY_WRAPV(a, b, r) \
- _GL_INT_OP_WRAPV (a, b, r, *, _GL_INT_MULTIPLY_RANGE_OVERFLOW)
-#endif
-
-/* Nonzero if this compiler has GCC bug 68193 or Clang bug 25390. See:
- https://gcc.gnu.org/bugzilla/show_bug.cgi?id=68193
- https://llvm.org/bugs/show_bug.cgi?id=25390
- For now, assume all versions of GCC-like compilers generate bogus
- warnings for _Generic. This matters only for compilers that
- lack relevant builtins. */
-#if __GNUC__ || defined __clang__
-# define _GL__GENERIC_BOGUS 1
-#else
-# define _GL__GENERIC_BOGUS 0
-#endif
-
-/* Store the low-order bits of A <op> B into *R, where OP specifies
- the operation and OVERFLOW the overflow predicate. Return 1 if the
- result overflows. See above for restrictions. */
-#if 201112 <= __STDC_VERSION__ && !_GL__GENERIC_BOGUS
-# define _GL_INT_OP_WRAPV(a, b, r, op, overflow) \
- (_Generic \
- (*(r), \
- signed char: \
- _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, \
- signed char, SCHAR_MIN, SCHAR_MAX), \
- unsigned char: \
- _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, \
- unsigned char, 0, UCHAR_MAX), \
- short int: \
- _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, \
- short int, SHRT_MIN, SHRT_MAX), \
- unsigned short int: \
- _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, \
- unsigned short int, 0, USHRT_MAX), \
- int: \
- _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, \
- int, INT_MIN, INT_MAX), \
- unsigned int: \
- _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, \
- unsigned int, 0, UINT_MAX), \
- long int: \
- _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long int, \
- long int, LONG_MIN, LONG_MAX), \
- unsigned long int: \
- _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long int, \
- unsigned long int, 0, ULONG_MAX), \
- long long int: \
- _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long long int, \
- long long int, LLONG_MIN, LLONG_MAX), \
- unsigned long long int: \
- _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long long int, \
- unsigned long long int, 0, ULLONG_MAX)))
-#else
-/* Store the low-order bits of A <op> B into *R, where OP specifies
- the operation and OVERFLOW the overflow predicate. If *R is
- signed, its type is ST with bounds SMIN..SMAX; otherwise its type
- is UT with bounds U..UMAX. ST and UT are narrower than int.
- Return 1 if the result overflows. See above for restrictions. */
-# if _GL_HAVE___TYPEOF__
-# define _GL_INT_OP_WRAPV_SMALLISH(a,b,r,op,overflow,st,smin,smax,ut,umax) \
- (TYPE_SIGNED (__typeof__ (*(r))) \
- ? _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, st, smin, smax) \
- : _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, ut, 0, umax))
-# else
-# define _GL_INT_OP_WRAPV_SMALLISH(a,b,r,op,overflow,st,smin,smax,ut,umax) \
- (overflow (a, b, smin, smax) \
- ? (overflow (a, b, 0, umax) \
- ? (*(r) = _GL_INT_OP_WRAPV_VIA_UNSIGNED (a,b,op,unsigned,st), 1) \
- : (*(r) = _GL_INT_OP_WRAPV_VIA_UNSIGNED (a,b,op,unsigned,st)) < 0) \
- : (overflow (a, b, 0, umax) \
- ? (*(r) = _GL_INT_OP_WRAPV_VIA_UNSIGNED (a,b,op,unsigned,st)) >= 0 \
- : (*(r) = _GL_INT_OP_WRAPV_VIA_UNSIGNED (a,b,op,unsigned,st), 0)))
-# endif
-
-# define _GL_INT_OP_WRAPV(a, b, r, op, overflow) \
- (sizeof *(r) == sizeof (signed char) \
- ? _GL_INT_OP_WRAPV_SMALLISH (a, b, r, op, overflow, \
- signed char, SCHAR_MIN, SCHAR_MAX, \
- unsigned char, UCHAR_MAX) \
- : sizeof *(r) == sizeof (short int) \
- ? _GL_INT_OP_WRAPV_SMALLISH (a, b, r, op, overflow, \
- short int, SHRT_MIN, SHRT_MAX, \
- unsigned short int, USHRT_MAX) \
- : sizeof *(r) == sizeof (int) \
- ? (EXPR_SIGNED (*(r)) \
- ? _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, \
- int, INT_MIN, INT_MAX) \
- : _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, \
- unsigned int, 0, UINT_MAX)) \
- : _GL_INT_OP_WRAPV_LONGISH(a, b, r, op, overflow))
-# ifdef LLONG_MAX
-# define _GL_INT_OP_WRAPV_LONGISH(a, b, r, op, overflow) \
- (sizeof *(r) == sizeof (long int) \
- ? (EXPR_SIGNED (*(r)) \
- ? _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long int, \
- long int, LONG_MIN, LONG_MAX) \
- : _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long int, \
- unsigned long int, 0, ULONG_MAX)) \
- : (EXPR_SIGNED (*(r)) \
- ? _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long long int, \
- long long int, LLONG_MIN, LLONG_MAX) \
- : _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long long int, \
- unsigned long long int, 0, ULLONG_MAX)))
-# else
-# define _GL_INT_OP_WRAPV_LONGISH(a, b, r, op, overflow) \
- (EXPR_SIGNED (*(r)) \
- ? _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long int, \
- long int, LONG_MIN, LONG_MAX) \
- : _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long int, \
- unsigned long int, 0, ULONG_MAX))
-# endif
-#endif
-
-/* Store the low-order bits of A <op> B into *R, where the operation
- is given by OP. Use the unsigned type UT for calculation to avoid
- overflow problems. *R's type is T, with extrema TMIN and TMAX.
- T must be a signed integer type. Return 1 if the result overflows. */
-#define _GL_INT_OP_CALC(a, b, r, op, overflow, ut, t, tmin, tmax) \
- (overflow (a, b, tmin, tmax) \
- ? (*(r) = _GL_INT_OP_WRAPV_VIA_UNSIGNED (a, b, op, ut, t), 1) \
- : (*(r) = _GL_INT_OP_WRAPV_VIA_UNSIGNED (a, b, op, ut, t), 0))
-
-/* Return the low-order bits of A <op> B, where the operation is given
- by OP. Use the unsigned type UT for calculation to avoid undefined
- behavior on signed integer overflow, and convert the result to type T.
- UT is at least as wide as T and is no narrower than unsigned int,
- T is two's complement, and there is no padding or trap representations.
- Assume that converting UT to T yields the low-order bits, as is
- done in all known two's-complement C compilers. E.g., see:
- https://gcc.gnu.org/onlinedocs/gcc/Integers-implementation.html
-
- According to the C standard, converting UT to T yields an
- implementation-defined result or signal for values outside T's
- range. However, code that works around this theoretical problem
- runs afoul of a compiler bug in Oracle Studio 12.3 x86. See:
- https://lists.gnu.org/r/bug-gnulib/2017-04/msg00049.html
- As the compiler bug is real, don't try to work around the
- theoretical problem. */
-
-#define _GL_INT_OP_WRAPV_VIA_UNSIGNED(a, b, op, ut, t) \
- ((t) ((ut) (a) op (ut) (b)))
-
-/* Return true if the numeric values A + B, A - B, A * B fall outside
- the range TMIN..TMAX. Arguments should be integer expressions
- without side effects. TMIN should be signed and nonpositive.
- TMAX should be positive, and should be signed unless TMIN is zero. */
-#define _GL_INT_ADD_RANGE_OVERFLOW(a, b, tmin, tmax) \
- ((b) < 0 \
- ? (((tmin) \
- ? ((EXPR_SIGNED (_GL_INT_CONVERT (a, (tmin) - (b))) || (b) < (tmin)) \
- && (a) < (tmin) - (b)) \
- : (a) <= -1 - (b)) \
- || ((EXPR_SIGNED (a) ? 0 <= (a) : (tmax) < (a)) && (tmax) < (a) + (b))) \
- : (a) < 0 \
- ? (((tmin) \
- ? ((EXPR_SIGNED (_GL_INT_CONVERT (b, (tmin) - (a))) || (a) < (tmin)) \
- && (b) < (tmin) - (a)) \
- : (b) <= -1 - (a)) \
- || ((EXPR_SIGNED (_GL_INT_CONVERT (a, b)) || (tmax) < (b)) \
- && (tmax) < (a) + (b))) \
- : (tmax) < (b) || (tmax) - (b) < (a))
-#define _GL_INT_SUBTRACT_RANGE_OVERFLOW(a, b, tmin, tmax) \
- (((a) < 0) == ((b) < 0) \
- ? ((a) < (b) \
- ? !(tmin) || -1 - (tmin) < (b) - (a) - 1 \
- : (tmax) < (a) - (b)) \
- : (a) < 0 \
- ? ((!EXPR_SIGNED (_GL_INT_CONVERT ((a) - (tmin), b)) && (a) - (tmin) < 0) \
- || (a) - (tmin) < (b)) \
- : ((! (EXPR_SIGNED (_GL_INT_CONVERT (tmax, b)) \
- && EXPR_SIGNED (_GL_INT_CONVERT ((tmax) + (b), a))) \
- && (tmax) <= -1 - (b)) \
- || (tmax) + (b) < (a)))
-#define _GL_INT_MULTIPLY_RANGE_OVERFLOW(a, b, tmin, tmax) \
- ((b) < 0 \
- ? ((a) < 0 \
- ? (EXPR_SIGNED (_GL_INT_CONVERT (tmax, b)) \
- ? (a) < (tmax) / (b) \
- : ((INT_NEGATE_OVERFLOW (b) \
- ? _GL_INT_CONVERT (b, tmax) >> (TYPE_WIDTH (+ (b)) - 1) \
- : (tmax) / -(b)) \
- <= -1 - (a))) \
- : INT_NEGATE_OVERFLOW (_GL_INT_CONVERT (b, tmin)) && (b) == -1 \
- ? (EXPR_SIGNED (a) \
- ? 0 < (a) + (tmin) \
- : 0 < (a) && -1 - (tmin) < (a) - 1) \
- : (tmin) / (b) < (a)) \
- : (b) == 0 \
- ? 0 \
- : ((a) < 0 \
- ? (INT_NEGATE_OVERFLOW (_GL_INT_CONVERT (a, tmin)) && (a) == -1 \
- ? (EXPR_SIGNED (b) ? 0 < (b) + (tmin) : -1 - (tmin) < (b) - 1) \
- : (tmin) / (a) < (b)) \
- : (tmax) / (b) < (a)))
-
-/* The following macros compute A + B, A - B, and A * B, respectively.
- If no overflow occurs, they set *R to the result and return 1;
- otherwise, they return 0 and may modify *R.
-
- Example usage:
-
- long int result;
- if (INT_ADD_OK (a, b, &result))
- printf ("result is %ld\n", result);
- else
- printf ("overflow\n");
-
- A, B, and *R should be integers; they need not be the same type,
- and they need not be all signed or all unsigned.
-
- These macros work correctly on all known practical hosts, and do not rely
- on undefined behavior due to signed arithmetic overflow.
-
- These macros are not constant expressions.
-
- These macros may evaluate their arguments zero or multiple times, so the
- arguments should not have side effects.
-
- These macros are tuned for B being a constant. */
-
-#define INT_ADD_OK(a, b, r) ! INT_ADD_WRAPV (a, b, r)
-#define INT_SUBTRACT_OK(a, b, r) ! INT_SUBTRACT_WRAPV (a, b, r)
-#define INT_MULTIPLY_OK(a, b, r) ! INT_MULTIPLY_WRAPV (a, b, r)
-
-#endif /* _GL_INTPROPS_H */