root/lib/intprops-internal.h

INCLUDED FROM

     1 /* intprops-internal.h -- properties of integer types not visible to users
     2 
     3    Copyright (C) 2001-2023 Free Software Foundation, Inc.
     4 
     5    This program is free software: you can redistribute it and/or modify it
     6    under the terms of the GNU Lesser General Public License as published
     7    by the Free Software Foundation; either version 2.1 of the License, or
     8    (at your option) any later version.
     9 
    10    This program is distributed in the hope that it will be useful,
    11    but WITHOUT ANY WARRANTY; without even the implied warranty of
    12    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    13    GNU Lesser General Public License for more details.
    14 
    15    You should have received a copy of the GNU Lesser General Public License
    16    along with this program.  If not, see <https://www.gnu.org/licenses/>.  */
    17 
    18 #ifndef _GL_INTPROPS_INTERNAL_H
    19 #define _GL_INTPROPS_INTERNAL_H
    20 
    21 #include <limits.h>
    22 
    23 /* Return a value with the common real type of E and V and the value of V.
    24    Do not evaluate E.  */
    25 #define _GL_INT_CONVERT(e, v) ((1 ? 0 : (e)) + (v))
    26 
    27 /* Act like _GL_INT_CONVERT (E, -V) but work around a bug in IRIX 6.5 cc; see
    28    <https://lists.gnu.org/r/bug-gnulib/2011-05/msg00406.html>.  */
    29 #define _GL_INT_NEGATE_CONVERT(e, v) ((1 ? 0 : (e)) - (v))
    30 
    31 /* The extra casts in the following macros work around compiler bugs,
    32    e.g., in Cray C 5.0.3.0.  */
    33 
    34 /* True if the real type T is signed.  */
    35 #define _GL_TYPE_SIGNED(t) (! ((t) 0 < (t) -1))
    36 
    37 /* Return 1 if the real expression E, after promotion, has a
    38    signed or floating type.  Do not evaluate E.  */
    39 #define _GL_EXPR_SIGNED(e) (_GL_INT_NEGATE_CONVERT (e, 1) < 0)
    40 
    41 
    42 /* Minimum and maximum values for integer types and expressions.  */
    43 
    44 /* The width in bits of the integer type or expression T.
    45    Do not evaluate T.  T must not be a bit-field expression.
    46    Padding bits are not supported; this is checked at compile-time below.  */
    47 #define _GL_TYPE_WIDTH(t) (sizeof (t) * CHAR_BIT)
    48 
    49 /* The maximum and minimum values for the type of the expression E,
    50    after integer promotion.  E is not evaluated.  */
    51 #define _GL_INT_MINIMUM(e)                                              \
    52   (_GL_EXPR_SIGNED (e)                                                  \
    53    ? ~ _GL_SIGNED_INT_MAXIMUM (e)                                       \
    54    : _GL_INT_CONVERT (e, 0))
    55 #define _GL_INT_MAXIMUM(e)                                              \
    56   (_GL_EXPR_SIGNED (e)                                                  \
    57    ? _GL_SIGNED_INT_MAXIMUM (e)                                         \
    58    : _GL_INT_NEGATE_CONVERT (e, 1))
    59 #define _GL_SIGNED_INT_MAXIMUM(e)                                       \
    60   (((_GL_INT_CONVERT (e, 1) << (_GL_TYPE_WIDTH (+ (e)) - 2)) - 1) * 2 + 1)
    61 
    62 /* Work around OpenVMS incompatibility with C99.  */
    63 #if !defined LLONG_MAX && defined __INT64_MAX
    64 # define LLONG_MAX __INT64_MAX
    65 # define LLONG_MIN __INT64_MIN
    66 #endif
    67 
    68 /* This include file assumes that signed types are two's complement without
    69    padding bits; the above macros have undefined behavior otherwise.
    70    If this is a problem for you, please let us know how to fix it for your host.
    71    This assumption is tested by the intprops-tests module.  */
    72 
    73 /* Does the __typeof__ keyword work?  This could be done by
    74    'configure', but for now it's easier to do it by hand.  */
    75 #if (2 <= __GNUC__ \
    76      || (4 <= __clang_major__) \
    77      || (1210 <= __IBMC__ && defined __IBM__TYPEOF__) \
    78      || (0x5110 <= __SUNPRO_C && !__STDC__))
    79 # define _GL_HAVE___TYPEOF__ 1
    80 #else
    81 # define _GL_HAVE___TYPEOF__ 0
    82 #endif
    83 
    84 /* Return 1 if the integer type or expression T might be signed.  Return 0
    85    if it is definitely unsigned.  T must not be a bit-field expression.
    86    This macro does not evaluate its argument, and expands to an
    87    integer constant expression.  */
    88 #if _GL_HAVE___TYPEOF__
    89 # define _GL_SIGNED_TYPE_OR_EXPR(t) _GL_TYPE_SIGNED (__typeof__ (t))
    90 #else
    91 # define _GL_SIGNED_TYPE_OR_EXPR(t) 1
    92 #endif
    93 
    94 /* Return 1 if - A would overflow in [MIN,MAX] arithmetic.
    95    A should not have side effects, and A's type should be an
    96    integer with minimum value MIN and maximum MAX.  */
    97 #define _GL_INT_NEGATE_RANGE_OVERFLOW(a, min, max) \
    98   ((min) < 0 ? (a) < - (max) : 0 < (a))
    99 
   100 /* True if __builtin_add_overflow (A, B, P) and __builtin_sub_overflow
   101    (A, B, P) work when P is non-null.  */
   102 #ifdef __EDG__
   103 /* EDG-based compilers like nvc 22.1 cannot add 64-bit signed to unsigned
   104    <https://bugs.gnu.org/53256>.  */
   105 # define _GL_HAS_BUILTIN_ADD_OVERFLOW 0
   106 #elif defined __has_builtin
   107 # define _GL_HAS_BUILTIN_ADD_OVERFLOW __has_builtin (__builtin_add_overflow)
   108 /* __builtin_{add,sub}_overflow exists but is not reliable in GCC 5.x and 6.x,
   109    see <https://gcc.gnu.org/bugzilla/show_bug.cgi?id=98269>.  */
   110 #elif 7 <= __GNUC__
   111 # define _GL_HAS_BUILTIN_ADD_OVERFLOW 1
   112 #else
   113 # define _GL_HAS_BUILTIN_ADD_OVERFLOW 0
   114 #endif
   115 
   116 /* True if __builtin_mul_overflow (A, B, P) works when P is non-null.  */
   117 #if defined __clang_major__ && __clang_major__ < 14
   118 /* Work around Clang bug <https://bugs.llvm.org/show_bug.cgi?id=16404>.  */
   119 # define _GL_HAS_BUILTIN_MUL_OVERFLOW 0
   120 #else
   121 # define _GL_HAS_BUILTIN_MUL_OVERFLOW _GL_HAS_BUILTIN_ADD_OVERFLOW
   122 #endif
   123 
   124 /* True if __builtin_add_overflow_p (A, B, C) works, and similarly for
   125    __builtin_sub_overflow_p and __builtin_mul_overflow_p.  */
   126 #ifdef __EDG__
   127 /* In EDG-based compilers like ICC 2021.3 and earlier,
   128    __builtin_add_overflow_p etc. are not treated as integral constant
   129    expressions even when all arguments are.  */
   130 # define _GL_HAS_BUILTIN_OVERFLOW_P 0
   131 #elif defined __has_builtin
   132 # define _GL_HAS_BUILTIN_OVERFLOW_P __has_builtin (__builtin_mul_overflow_p)
   133 #else
   134 # define _GL_HAS_BUILTIN_OVERFLOW_P (7 <= __GNUC__)
   135 #endif
   136 
   137 #if (!defined _GL_STDCKDINT_H && 202311 <= __STDC_VERSION__ \
   138      && ! (_GL_HAS_BUILTIN_ADD_OVERFLOW && _GL_HAS_BUILTIN_MUL_OVERFLOW))
   139 # include <stdckdint.h>
   140 #endif
   141 
   142 /* Store the low-order bits of A + B, A - B, A * B, respectively, into *R.
   143    Return 1 if the result overflows.  Arguments should not have side
   144    effects and A, B and *R can be of any integer type other than char,
   145    bool, a bit-precise integer type, or an enumeration type.  */
   146 #if _GL_HAS_BUILTIN_ADD_OVERFLOW
   147 # define _GL_INT_ADD_WRAPV(a, b, r) __builtin_add_overflow (a, b, r)
   148 # define _GL_INT_SUBTRACT_WRAPV(a, b, r) __builtin_sub_overflow (a, b, r)
   149 #elif defined ckd_add && defined ckd_sub && !defined _GL_STDCKDINT_H
   150 # define _GL_INT_ADD_WRAPV(a, b, r) ckd_add (r, + (a), + (b))
   151 # define _GL_INT_SUBTRACT_WRAPV(a, b, r) ckd_sub (r, + (a), + (b))
   152 #else
   153 # define _GL_INT_ADD_WRAPV(a, b, r) \
   154    _GL_INT_OP_WRAPV (a, b, r, +, _GL_INT_ADD_RANGE_OVERFLOW)
   155 # define _GL_INT_SUBTRACT_WRAPV(a, b, r) \
   156    _GL_INT_OP_WRAPV (a, b, r, -, _GL_INT_SUBTRACT_RANGE_OVERFLOW)
   157 #endif
   158 #if _GL_HAS_BUILTIN_MUL_OVERFLOW
   159 # if ((9 < __GNUC__ + (3 <= __GNUC_MINOR__) \
   160        || (__GNUC__ == 8 && 4 <= __GNUC_MINOR__)) \
   161       && !defined __EDG__)
   162 #  define _GL_INT_MULTIPLY_WRAPV(a, b, r) __builtin_mul_overflow (a, b, r)
   163 # else
   164    /* Work around GCC bug 91450.  */
   165 #  define _GL_INT_MULTIPLY_WRAPV(a, b, r) \
   166     ((!_GL_SIGNED_TYPE_OR_EXPR (*(r)) && _GL_EXPR_SIGNED (a) && _GL_EXPR_SIGNED (b) \
   167       && _GL_INT_MULTIPLY_RANGE_OVERFLOW (a, b, 0, (__typeof__ (*(r))) -1)) \
   168      ? ((void) __builtin_mul_overflow (a, b, r), 1) \
   169      : __builtin_mul_overflow (a, b, r))
   170 # endif
   171 #elif defined ckd_mul && !defined _GL_STDCKDINT_H
   172 # define _GL_INT_MULTIPLY_WRAPV(a, b, r) ckd_mul (r, + (a), + (b))
   173 #else
   174 # define _GL_INT_MULTIPLY_WRAPV(a, b, r) \
   175    _GL_INT_OP_WRAPV (a, b, r, *, _GL_INT_MULTIPLY_RANGE_OVERFLOW)
   176 #endif
   177 
   178 /* Nonzero if this compiler has GCC bug 68193 or Clang bug 25390.  See:
   179    https://gcc.gnu.org/bugzilla/show_bug.cgi?id=68193
   180    https://llvm.org/bugs/show_bug.cgi?id=25390
   181    For now, assume all versions of GCC-like compilers generate bogus
   182    warnings for _Generic.  This matters only for compilers that
   183    lack relevant builtins.  */
   184 #if __GNUC__ || defined __clang__
   185 # define _GL__GENERIC_BOGUS 1
   186 #else
   187 # define _GL__GENERIC_BOGUS 0
   188 #endif
   189 
   190 /* Store the low-order bits of A <op> B into *R, where OP specifies
   191    the operation and OVERFLOW the overflow predicate.  Return 1 if the
   192    result overflows.  Arguments should not have side effects,
   193    and A, B and *R can be of any integer type other than char, bool, a
   194    bit-precise integer type, or an enumeration type.  */
   195 #if 201112 <= __STDC_VERSION__ && !_GL__GENERIC_BOGUS
   196 # define _GL_INT_OP_WRAPV(a, b, r, op, overflow) \
   197    (_Generic \
   198     (*(r), \
   199      signed char: \
   200        _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, \
   201                         signed char, SCHAR_MIN, SCHAR_MAX), \
   202      unsigned char: \
   203        _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, \
   204                         unsigned char, 0, UCHAR_MAX), \
   205      short int: \
   206        _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, \
   207                         short int, SHRT_MIN, SHRT_MAX), \
   208      unsigned short int: \
   209        _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, \
   210                         unsigned short int, 0, USHRT_MAX), \
   211      int: \
   212        _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, \
   213                         int, INT_MIN, INT_MAX), \
   214      unsigned int: \
   215        _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, \
   216                         unsigned int, 0, UINT_MAX), \
   217      long int: \
   218        _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long int, \
   219                         long int, LONG_MIN, LONG_MAX), \
   220      unsigned long int: \
   221        _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long int, \
   222                         unsigned long int, 0, ULONG_MAX), \
   223      long long int: \
   224        _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long long int, \
   225                         long long int, LLONG_MIN, LLONG_MAX), \
   226      unsigned long long int: \
   227        _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long long int, \
   228                         unsigned long long int, 0, ULLONG_MAX)))
   229 #else
   230 /* Store the low-order bits of A <op> B into *R, where OP specifies
   231    the operation and OVERFLOW the overflow predicate.  If *R is
   232    signed, its type is ST with bounds SMIN..SMAX; otherwise its type
   233    is UT with bounds U..UMAX.  ST and UT are narrower than int.
   234    Return 1 if the result overflows.  Arguments should not have side
   235    effects, and A, B and *R can be of any integer type other than
   236    char, bool, a bit-precise integer type, or an enumeration type.  */
   237 # if _GL_HAVE___TYPEOF__
   238 #  define _GL_INT_OP_WRAPV_SMALLISH(a,b,r,op,overflow,st,smin,smax,ut,umax) \
   239     (_GL_TYPE_SIGNED (__typeof__ (*(r))) \
   240      ? _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, st, smin, smax) \
   241      : _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, ut, 0, umax))
   242 # else
   243 #  define _GL_INT_OP_WRAPV_SMALLISH(a,b,r,op,overflow,st,smin,smax,ut,umax) \
   244     (overflow (a, b, smin, smax) \
   245      ? (overflow (a, b, 0, umax) \
   246         ? (*(r) = _GL_INT_OP_WRAPV_VIA_UNSIGNED (a,b,op,unsigned,st), 1) \
   247         : (*(r) = _GL_INT_OP_WRAPV_VIA_UNSIGNED (a,b,op,unsigned,st)) < 0) \
   248      : (overflow (a, b, 0, umax) \
   249         ? (*(r) = _GL_INT_OP_WRAPV_VIA_UNSIGNED (a,b,op,unsigned,st)) >= 0 \
   250         : (*(r) = _GL_INT_OP_WRAPV_VIA_UNSIGNED (a,b,op,unsigned,st), 0)))
   251 # endif
   252 
   253 # define _GL_INT_OP_WRAPV(a, b, r, op, overflow) \
   254    (sizeof *(r) == sizeof (signed char) \
   255     ? _GL_INT_OP_WRAPV_SMALLISH (a, b, r, op, overflow, \
   256                                  signed char, SCHAR_MIN, SCHAR_MAX, \
   257                                  unsigned char, UCHAR_MAX) \
   258     : sizeof *(r) == sizeof (short int) \
   259     ? _GL_INT_OP_WRAPV_SMALLISH (a, b, r, op, overflow, \
   260                                  short int, SHRT_MIN, SHRT_MAX, \
   261                                  unsigned short int, USHRT_MAX) \
   262     : sizeof *(r) == sizeof (int) \
   263     ? (_GL_EXPR_SIGNED (*(r)) \
   264        ? _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, \
   265                           int, INT_MIN, INT_MAX) \
   266        : _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned int, \
   267                           unsigned int, 0, UINT_MAX)) \
   268     : _GL_INT_OP_WRAPV_LONGISH(a, b, r, op, overflow))
   269 # ifdef LLONG_MAX
   270 #  define _GL_INT_OP_WRAPV_LONGISH(a, b, r, op, overflow) \
   271     (sizeof *(r) == sizeof (long int) \
   272      ? (_GL_EXPR_SIGNED (*(r)) \
   273         ? _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long int, \
   274                            long int, LONG_MIN, LONG_MAX) \
   275         : _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long int, \
   276                            unsigned long int, 0, ULONG_MAX)) \
   277      : (_GL_EXPR_SIGNED (*(r)) \
   278         ? _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long long int, \
   279                            long long int, LLONG_MIN, LLONG_MAX) \
   280         : _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long long int, \
   281                            unsigned long long int, 0, ULLONG_MAX)))
   282 # else
   283 #  define _GL_INT_OP_WRAPV_LONGISH(a, b, r, op, overflow) \
   284     (_GL_EXPR_SIGNED (*(r)) \
   285      ? _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long int, \
   286                         long int, LONG_MIN, LONG_MAX) \
   287      : _GL_INT_OP_CALC (a, b, r, op, overflow, unsigned long int, \
   288                         unsigned long int, 0, ULONG_MAX))
   289 # endif
   290 #endif
   291 
   292 /* Store the low-order bits of A <op> B into *R, where the operation
   293    is given by OP.  Use the unsigned type UT for calculation to avoid
   294    overflow problems.  *R's type is T, with extrema TMIN and TMAX.
   295    T can be any signed integer type other than char, bool, a
   296    bit-precise integer type, or an enumeration type.
   297    Return 1 if the result overflows.  */
   298 #define _GL_INT_OP_CALC(a, b, r, op, overflow, ut, t, tmin, tmax) \
   299   (overflow (a, b, tmin, tmax) \
   300    ? (*(r) = _GL_INT_OP_WRAPV_VIA_UNSIGNED (a, b, op, ut, t), 1) \
   301    : (*(r) = _GL_INT_OP_WRAPV_VIA_UNSIGNED (a, b, op, ut, t), 0))
   302 
   303 /* Return 1 if the integer expressions A - B and -A would overflow,
   304    respectively.  Arguments should not have side effects,
   305    and can be any signed integer type other than char, bool, a
   306    bit-precise integer type, or an enumeration type.
   307    These macros are tuned for their last input argument being a constant.  */
   308 
   309 #if _GL_HAS_BUILTIN_OVERFLOW_P
   310 # define _GL_INT_NEGATE_OVERFLOW(a) \
   311    __builtin_sub_overflow_p (0, a, (__typeof__ (- (a))) 0)
   312 #else
   313 # define _GL_INT_NEGATE_OVERFLOW(a) \
   314    _GL_INT_NEGATE_RANGE_OVERFLOW (a, _GL_INT_MINIMUM (a), _GL_INT_MAXIMUM (a))
   315 #endif
   316 
   317 /* Return the low-order bits of A <op> B, where the operation is given
   318    by OP.  Use the unsigned type UT for calculation to avoid undefined
   319    behavior on signed integer overflow, and convert the result to type T.
   320    UT is at least as wide as T and is no narrower than unsigned int,
   321    T is two's complement, and there is no padding or trap representations.
   322    Assume that converting UT to T yields the low-order bits, as is
   323    done in all known two's-complement C compilers.  E.g., see:
   324    https://gcc.gnu.org/onlinedocs/gcc/Integers-implementation.html
   325 
   326    According to the C standard, converting UT to T yields an
   327    implementation-defined result or signal for values outside T's
   328    range.  However, code that works around this theoretical problem
   329    runs afoul of a compiler bug in Oracle Studio 12.3 x86.  See:
   330    https://lists.gnu.org/r/bug-gnulib/2017-04/msg00049.html
   331    As the compiler bug is real, don't try to work around the
   332    theoretical problem.  */
   333 
   334 #define _GL_INT_OP_WRAPV_VIA_UNSIGNED(a, b, op, ut, t) \
   335   ((t) ((ut) (a) op (ut) (b)))
   336 
   337 /* Return true if the numeric values A + B, A - B, A * B fall outside
   338    the range TMIN..TMAX.  Arguments should not have side effects
   339    and can be any integer type other than char, bool,
   340    a bit-precise integer type, or an enumeration type.
   341    TMIN should be signed and nonpositive.
   342    TMAX should be positive, and should be signed unless TMIN is zero.  */
   343 #define _GL_INT_ADD_RANGE_OVERFLOW(a, b, tmin, tmax) \
   344   ((b) < 0 \
   345    ? (((tmin) \
   346        ? ((_GL_EXPR_SIGNED (_GL_INT_CONVERT (a, (tmin) - (b))) || (b) < (tmin)) \
   347           && (a) < (tmin) - (b)) \
   348        : (a) <= -1 - (b)) \
   349       || ((_GL_EXPR_SIGNED (a) ? 0 <= (a) : (tmax) < (a)) && (tmax) < (a) + (b))) \
   350    : (a) < 0 \
   351    ? (((tmin) \
   352        ? ((_GL_EXPR_SIGNED (_GL_INT_CONVERT (b, (tmin) - (a))) || (a) < (tmin)) \
   353           && (b) < (tmin) - (a)) \
   354        : (b) <= -1 - (a)) \
   355       || ((_GL_EXPR_SIGNED (_GL_INT_CONVERT (a, b)) || (tmax) < (b)) \
   356           && (tmax) < (a) + (b))) \
   357    : (tmax) < (b) || (tmax) - (b) < (a))
   358 #define _GL_INT_SUBTRACT_RANGE_OVERFLOW(a, b, tmin, tmax) \
   359   (((a) < 0) == ((b) < 0) \
   360    ? ((a) < (b) \
   361       ? !(tmin) || -1 - (tmin) < (b) - (a) - 1 \
   362       : (tmax) < (a) - (b)) \
   363    : (a) < 0 \
   364    ? ((!_GL_EXPR_SIGNED (_GL_INT_CONVERT ((a) - (tmin), b)) && (a) - (tmin) < 0) \
   365       || (a) - (tmin) < (b)) \
   366    : ((! (_GL_EXPR_SIGNED (_GL_INT_CONVERT (tmax, b)) \
   367           && _GL_EXPR_SIGNED (_GL_INT_CONVERT ((tmax) + (b), a))) \
   368        && (tmax) <= -1 - (b)) \
   369       || (tmax) + (b) < (a)))
   370 #define _GL_INT_MULTIPLY_RANGE_OVERFLOW(a, b, tmin, tmax) \
   371   ((b) < 0 \
   372    ? ((a) < 0 \
   373       ? (_GL_EXPR_SIGNED (_GL_INT_CONVERT (tmax, b)) \
   374          ? (a) < (tmax) / (b) \
   375          : ((_GL_INT_NEGATE_OVERFLOW (b) \
   376              ? _GL_INT_CONVERT (b, tmax) >> (_GL_TYPE_WIDTH (+ (b)) - 1) \
   377              : (tmax) / -(b)) \
   378             <= -1 - (a))) \
   379       : _GL_INT_NEGATE_OVERFLOW (_GL_INT_CONVERT (b, tmin)) && (b) == -1 \
   380       ? (_GL_EXPR_SIGNED (a) \
   381          ? 0 < (a) + (tmin) \
   382          : 0 < (a) && -1 - (tmin) < (a) - 1) \
   383       : (tmin) / (b) < (a)) \
   384    : (b) == 0 \
   385    ? 0 \
   386    : ((a) < 0 \
   387       ? (_GL_INT_NEGATE_OVERFLOW (_GL_INT_CONVERT (a, tmin)) && (a) == -1 \
   388          ? (_GL_EXPR_SIGNED (b) ? 0 < (b) + (tmin) : -1 - (tmin) < (b) - 1) \
   389          : (tmin) / (a) < (b)) \
   390       : (tmax) / (b) < (a)))
   391 
   392 #endif /* _GL_INTPROPS_INTERNAL_H */