393 lines
17 KiB
C
393 lines
17 KiB
C
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/* intprops-internal.h -- properties of integer types not visible to users
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Copyright (C) 2001-2023 Free Software Foundation, Inc.
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This program is free software: you can redistribute it and/or modify it
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under the terms of the GNU Lesser General Public License as published
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by the Free Software Foundation; either version 2.1 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with this program. If not, see <https://www.gnu.org/licenses/>. */
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#ifndef _GL_INTPROPS_INTERNAL_H
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#define _GL_INTPROPS_INTERNAL_H
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#include <limits.h>
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/* Return a value with the common real type of E and V and the value of V.
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Do not evaluate E. */
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#define _GL_INT_CONVERT(e, v) ((1 ? 0 : (e)) + (v))
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/* Act like _GL_INT_CONVERT (E, -V) but work around a bug in IRIX 6.5 cc; see
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<https://lists.gnu.org/r/bug-gnulib/2011-05/msg00406.html>. */
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#define _GL_INT_NEGATE_CONVERT(e, v) ((1 ? 0 : (e)) - (v))
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/* The extra casts in the following macros work around compiler bugs,
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e.g., in Cray C 5.0.3.0. */
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/* True if the real type T is signed. */
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#define _GL_TYPE_SIGNED(t) (! ((t) 0 < (t) -1))
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/* Return 1 if the real expression E, after promotion, has a
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signed or floating type. Do not evaluate E. */
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#define _GL_EXPR_SIGNED(e) (_GL_INT_NEGATE_CONVERT (e, 1) < 0)
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/* Minimum and maximum values for integer types and expressions. */
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/* The width in bits of the integer type or expression T.
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Do not evaluate T. T must not be a bit-field expression.
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Padding bits are not supported; this is checked at compile-time below. */
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#define _GL_TYPE_WIDTH(t) (sizeof (t) * CHAR_BIT)
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/* The maximum and minimum values for the type of the expression E,
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after integer promotion. E is not evaluated. */
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#define _GL_INT_MINIMUM(e) \
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(_GL_EXPR_SIGNED (e) \
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? ~ _GL_SIGNED_INT_MAXIMUM (e) \
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: _GL_INT_CONVERT (e, 0))
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#define _GL_INT_MAXIMUM(e) \
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(_GL_EXPR_SIGNED (e) \
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? _GL_SIGNED_INT_MAXIMUM (e) \
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: _GL_INT_NEGATE_CONVERT (e, 1))
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#define _GL_SIGNED_INT_MAXIMUM(e) \
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(((_GL_INT_CONVERT (e, 1) << (_GL_TYPE_WIDTH (+ (e)) - 2)) - 1) * 2 + 1)
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/* Work around OpenVMS incompatibility with C99. */
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#if !defined LLONG_MAX && defined __INT64_MAX
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# define LLONG_MAX __INT64_MAX
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# define LLONG_MIN __INT64_MIN
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#endif
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/* This include file assumes that signed types are two's complement without
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padding bits; the above macros have undefined behavior otherwise.
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If this is a problem for you, please let us know how to fix it for your host.
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This assumption is tested by the intprops-tests module. */
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/* Does the __typeof__ keyword work? This could be done by
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'configure', but for now it's easier to do it by hand. */
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#if (2 <= __GNUC__ \
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|| (4 <= __clang_major__) \
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|| (1210 <= __IBMC__ && defined __IBM__TYPEOF__) \
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|| (0x5110 <= __SUNPRO_C && !__STDC__))
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# define _GL_HAVE___TYPEOF__ 1
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#else
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# define _GL_HAVE___TYPEOF__ 0
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#endif
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/* Return 1 if the integer type or expression T might be signed. Return 0
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if it is definitely unsigned. T must not be a bit-field expression.
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This macro does not evaluate its argument, and expands to an
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integer constant expression. */
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#if _GL_HAVE___TYPEOF__
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# define _GL_SIGNED_TYPE_OR_EXPR(t) _GL_TYPE_SIGNED (__typeof__ (t))
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#else
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# define _GL_SIGNED_TYPE_OR_EXPR(t) 1
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#endif
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/* Return 1 if - A would overflow in [MIN,MAX] arithmetic.
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A should not have side effects, and A's type should be an
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integer with minimum value MIN and maximum MAX. */
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#define _GL_INT_NEGATE_RANGE_OVERFLOW(a, min, max) \
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((min) < 0 ? (a) < - (max) : 0 < (a))
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/* True if __builtin_add_overflow (A, B, P) and __builtin_sub_overflow
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(A, B, P) work when P is non-null. */
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#ifdef __EDG__
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/* EDG-based compilers like nvc 22.1 cannot add 64-bit signed to unsigned
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<https://bugs.gnu.org/53256>. */
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# define _GL_HAS_BUILTIN_ADD_OVERFLOW 0
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#elif defined __has_builtin
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# define _GL_HAS_BUILTIN_ADD_OVERFLOW __has_builtin (__builtin_add_overflow)
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/* __builtin_{add,sub}_overflow exists but is not reliable in GCC 5.x and 6.x,
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see <https://gcc.gnu.org/bugzilla/show_bug.cgi?id=98269>. */
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#elif 7 <= __GNUC__
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# define _GL_HAS_BUILTIN_ADD_OVERFLOW 1
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#else
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# define _GL_HAS_BUILTIN_ADD_OVERFLOW 0
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#endif
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/* True if __builtin_mul_overflow (A, B, P) works when P is non-null. */
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#if defined __clang_major__ && __clang_major__ < 14
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/* Work around Clang bug <https://bugs.llvm.org/show_bug.cgi?id=16404>. */
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# define _GL_HAS_BUILTIN_MUL_OVERFLOW 0
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#else
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# define _GL_HAS_BUILTIN_MUL_OVERFLOW _GL_HAS_BUILTIN_ADD_OVERFLOW
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#endif
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/* True if __builtin_add_overflow_p (A, B, C) works, and similarly for
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__builtin_sub_overflow_p and __builtin_mul_overflow_p. */
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#ifdef __EDG__
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/* In EDG-based compilers like ICC 2021.3 and earlier,
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__builtin_add_overflow_p etc. are not treated as integral constant
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expressions even when all arguments are. */
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# define _GL_HAS_BUILTIN_OVERFLOW_P 0
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#elif defined __has_builtin
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# define _GL_HAS_BUILTIN_OVERFLOW_P __has_builtin (__builtin_mul_overflow_p)
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#else
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# define _GL_HAS_BUILTIN_OVERFLOW_P (7 <= __GNUC__)
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#endif
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#if (!defined _GL_STDCKDINT_H && 202311 <= __STDC_VERSION__ \
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&& ! (_GL_HAS_BUILTIN_ADD_OVERFLOW && _GL_HAS_BUILTIN_MUL_OVERFLOW))
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# include <stdckdint.h>
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#endif
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/* Store the low-order bits of A + B, A - B, A * B, respectively, into *R.
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Return 1 if the result overflows. Arguments should not have side
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effects and A, B and *R can be of any integer type other than char,
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bool, a bit-precise integer type, or an enumeration type. */
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#if _GL_HAS_BUILTIN_ADD_OVERFLOW
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# define _GL_INT_ADD_WRAPV(a, b, r) __builtin_add_overflow (a, b, r)
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# define _GL_INT_SUBTRACT_WRAPV(a, b, r) __builtin_sub_overflow (a, b, r)
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#elif defined ckd_add && defined ckd_sub && !defined _GL_STDCKDINT_H
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# define _GL_INT_ADD_WRAPV(a, b, r) ckd_add (r, + (a), + (b))
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# define _GL_INT_SUBTRACT_WRAPV(a, b, r) ckd_sub (r, + (a), + (b))
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#else
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# define _GL_INT_ADD_WRAPV(a, b, r) \
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_GL_INT_OP_WRAPV (a, b, r, +, _GL_INT_ADD_RANGE_OVERFLOW)
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# define _GL_INT_SUBTRACT_WRAPV(a, b, r) \
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_GL_INT_OP_WRAPV (a, b, r, -, _GL_INT_SUBTRACT_RANGE_OVERFLOW)
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#endif
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#if _GL_HAS_BUILTIN_MUL_OVERFLOW
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# if ((9 < __GNUC__ + (3 <= __GNUC_MINOR__) \
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|| (__GNUC__ == 8 && 4 <= __GNUC_MINOR__)) \
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&& !defined __EDG__)
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# define _GL_INT_MULTIPLY_WRAPV(a, b, r) __builtin_mul_overflow (a, b, r)
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# else
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/* Work around GCC bug 91450. */
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# define _GL_INT_MULTIPLY_WRAPV(a, b, r) \
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((!_GL_SIGNED_TYPE_OR_EXPR (*(r)) && _GL_EXPR_SIGNED (a) && _GL_EXPR_SIGNED (b) \
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&& _GL_INT_MULTIPLY_RANGE_OVERFLOW (a, b, 0, (__typeof__ (*(r))) -1)) \
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? ((void) __builtin_mul_overflow (a, b, r), 1) \
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: __builtin_mul_overflow (a, b, r))
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# endif
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#elif defined ckd_mul && !defined _GL_STDCKDINT_H
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# define _GL_INT_MULTIPLY_WRAPV(a, b, r) ckd_mul (r, + (a), + (b))
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#else
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# define _GL_INT_MULTIPLY_WRAPV(a, b, r) \
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_GL_INT_OP_WRAPV (a, b, r, *, _GL_INT_MULTIPLY_RANGE_OVERFLOW)
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#endif
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/* Nonzero if this compiler has GCC bug 68193 or Clang bug 25390. See:
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https://gcc.gnu.org/bugzilla/show_bug.cgi?id=68193
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https://llvm.org/bugs/show_bug.cgi?id=25390
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For now, assume all versions of GCC-like compilers generate bogus
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warnings for _Generic. This matters only for compilers that
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lack relevant builtins. */
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#if __GNUC__ || defined __clang__
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# define _GL__GENERIC_BOGUS 1
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#else
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# define _GL__GENERIC_BOGUS 0
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#endif
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/* Store the low-order bits of A <op> B into *R, where OP specifies
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the operation and OVERFLOW the overflow predicate. Return 1 if the
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result overflows. Arguments should not have side effects,
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and A, B and *R can be of any integer type other than char, bool, a
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bit-precise integer type, or an enumeration type. */
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#if 201112 <= __STDC_VERSION__ && !_GL__GENERIC_BOGUS
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# define _GL_INT_OP_WRAPV(a, b, r, op, overflow) \
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(_Generic \
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(*(r), \
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signed char: \
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_GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, \
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signed char, SCHAR_MIN, SCHAR_MAX), \
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unsigned char: \
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_GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, \
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unsigned char, 0, UCHAR_MAX), \
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short int: \
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_GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, \
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short int, SHRT_MIN, SHRT_MAX), \
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unsigned short int: \
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_GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, \
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unsigned short int, 0, USHRT_MAX), \
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int: \
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_GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, \
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int, INT_MIN, INT_MAX), \
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unsigned int: \
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_GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, \
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unsigned int, 0, UINT_MAX), \
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long int: \
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_GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long int, \
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long int, LONG_MIN, LONG_MAX), \
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unsigned long int: \
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_GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long int, \
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unsigned long int, 0, ULONG_MAX), \
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long long int: \
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_GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long long int, \
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long long int, LLONG_MIN, LLONG_MAX), \
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unsigned long long int: \
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_GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long long int, \
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unsigned long long int, 0, ULLONG_MAX)))
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#else
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/* Store the low-order bits of A <op> B into *R, where OP specifies
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the operation and OVERFLOW the overflow predicate. If *R is
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signed, its type is ST with bounds SMIN..SMAX; otherwise its type
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is UT with bounds U..UMAX. ST and UT are narrower than int.
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Return 1 if the result overflows. Arguments should not have side
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effects, and A, B and *R can be of any integer type other than
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char, bool, a bit-precise integer type, or an enumeration type. */
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# if _GL_HAVE___TYPEOF__
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# define _GL_INT_OP_WRAPV_SMALLISH(a,b,r,op,overflow,st,smin,smax,ut,umax) \
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(_GL_TYPE_SIGNED (__typeof__ (*(r))) \
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? _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, st, smin, smax) \
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: _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, ut, 0, umax))
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# else
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# define _GL_INT_OP_WRAPV_SMALLISH(a,b,r,op,overflow,st,smin,smax,ut,umax) \
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(overflow (a, b, smin, smax) \
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? (overflow (a, b, 0, umax) \
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? (*(r) = _GL_INT_OP_WRAPV_VIA_UNSIGNED (a,b,op,unsigned,st), 1) \
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: (*(r) = _GL_INT_OP_WRAPV_VIA_UNSIGNED (a,b,op,unsigned,st)) < 0) \
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: (overflow (a, b, 0, umax) \
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? (*(r) = _GL_INT_OP_WRAPV_VIA_UNSIGNED (a,b,op,unsigned,st)) >= 0 \
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: (*(r) = _GL_INT_OP_WRAPV_VIA_UNSIGNED (a,b,op,unsigned,st), 0)))
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# endif
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# define _GL_INT_OP_WRAPV(a, b, r, op, overflow) \
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(sizeof *(r) == sizeof (signed char) \
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? _GL_INT_OP_WRAPV_SMALLISH (a, b, r, op, overflow, \
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signed char, SCHAR_MIN, SCHAR_MAX, \
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unsigned char, UCHAR_MAX) \
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: sizeof *(r) == sizeof (short int) \
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? _GL_INT_OP_WRAPV_SMALLISH (a, b, r, op, overflow, \
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short int, SHRT_MIN, SHRT_MAX, \
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unsigned short int, USHRT_MAX) \
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: sizeof *(r) == sizeof (int) \
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? (_GL_EXPR_SIGNED (*(r)) \
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? _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, \
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int, INT_MIN, INT_MAX) \
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: _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, \
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unsigned int, 0, UINT_MAX)) \
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: _GL_INT_OP_WRAPV_LONGISH(a, b, r, op, overflow))
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# ifdef LLONG_MAX
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# define _GL_INT_OP_WRAPV_LONGISH(a, b, r, op, overflow) \
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(sizeof *(r) == sizeof (long int) \
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? (_GL_EXPR_SIGNED (*(r)) \
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? _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long int, \
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long int, LONG_MIN, LONG_MAX) \
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: _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long int, \
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unsigned long int, 0, ULONG_MAX)) \
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: (_GL_EXPR_SIGNED (*(r)) \
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? _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long long int, \
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long long int, LLONG_MIN, LLONG_MAX) \
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: _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long long int, \
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unsigned long long int, 0, ULLONG_MAX)))
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# else
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# define _GL_INT_OP_WRAPV_LONGISH(a, b, r, op, overflow) \
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(_GL_EXPR_SIGNED (*(r)) \
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? _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long int, \
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|
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 can be any signed integer type other than char, bool, a
|
||
|
|
bit-precise integer type, or an enumeration 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 1 if the integer expressions A - B and -A would overflow,
|
||
|
|
respectively. Arguments should not have side effects,
|
||
|
|
and can be any signed integer type other than char, bool, a
|
||
|
|
bit-precise integer type, or an enumeration type.
|
||
|
|
These macros are tuned for their last input argument being a constant. */
|
||
|
|
|
||
|
|
#if _GL_HAS_BUILTIN_OVERFLOW_P
|
||
|
|
# define _GL_INT_NEGATE_OVERFLOW(a) \
|
||
|
|
__builtin_sub_overflow_p (0, a, (__typeof__ (- (a))) 0)
|
||
|
|
#else
|
||
|
|
# define _GL_INT_NEGATE_OVERFLOW(a) \
|
||
|
|
_GL_INT_NEGATE_RANGE_OVERFLOW (a, _GL_INT_MINIMUM (a), _GL_INT_MAXIMUM (a))
|
||
|
|
#endif
|
||
|
|
|
||
|
|
/* 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 not have side effects
|
||
|
|
and can be any integer type other than char, bool,
|
||
|
|
a bit-precise integer type, or an enumeration type.
|
||
|
|
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) \
|
||
|
|
? ((_GL_EXPR_SIGNED (_GL_INT_CONVERT (a, (tmin) - (b))) || (b) < (tmin)) \
|
||
|
|
&& (a) < (tmin) - (b)) \
|
||
|
|
: (a) <= -1 - (b)) \
|
||
|
|
|| ((_GL_EXPR_SIGNED (a) ? 0 <= (a) : (tmax) < (a)) && (tmax) < (a) + (b))) \
|
||
|
|
: (a) < 0 \
|
||
|
|
? (((tmin) \
|
||
|
|
? ((_GL_EXPR_SIGNED (_GL_INT_CONVERT (b, (tmin) - (a))) || (a) < (tmin)) \
|
||
|
|
&& (b) < (tmin) - (a)) \
|
||
|
|
: (b) <= -1 - (a)) \
|
||
|
|
|| ((_GL_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 \
|
||
|
|
? ((!_GL_EXPR_SIGNED (_GL_INT_CONVERT ((a) - (tmin), b)) && (a) - (tmin) < 0) \
|
||
|
|
|| (a) - (tmin) < (b)) \
|
||
|
|
: ((! (_GL_EXPR_SIGNED (_GL_INT_CONVERT (tmax, b)) \
|
||
|
|
&& _GL_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 \
|
||
|
|
? (_GL_EXPR_SIGNED (_GL_INT_CONVERT (tmax, b)) \
|
||
|
|
? (a) < (tmax) / (b) \
|
||
|
|
: ((_GL_INT_NEGATE_OVERFLOW (b) \
|
||
|
|
? _GL_INT_CONVERT (b, tmax) >> (_GL_TYPE_WIDTH (+ (b)) - 1) \
|
||
|
|
: (tmax) / -(b)) \
|
||
|
|
<= -1 - (a))) \
|
||
|
|
: _GL_INT_NEGATE_OVERFLOW (_GL_INT_CONVERT (b, tmin)) && (b) == -1 \
|
||
|
|
? (_GL_EXPR_SIGNED (a) \
|
||
|
|
? 0 < (a) + (tmin) \
|
||
|
|
: 0 < (a) && -1 - (tmin) < (a) - 1) \
|
||
|
|
: (tmin) / (b) < (a)) \
|
||
|
|
: (b) == 0 \
|
||
|
|
? 0 \
|
||
|
|
: ((a) < 0 \
|
||
|
|
? (_GL_INT_NEGATE_OVERFLOW (_GL_INT_CONVERT (a, tmin)) && (a) == -1 \
|
||
|
|
? (_GL_EXPR_SIGNED (b) ? 0 < (b) + (tmin) : -1 - (tmin) < (b) - 1) \
|
||
|
|
: (tmin) / (a) < (b)) \
|
||
|
|
: (tmax) / (b) < (a)))
|
||
|
|
|
||
|
|
#endif /* _GL_INTPROPS_INTERNAL_H */
|