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jtckdint.h
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/*
* Copyright 2023 Justine Alexandra Roberts Tunney
*
* Permission to use, copy, modify, and/or distribute this software for
* any purpose with or without fee is hereby granted, provided that the
* above copyright notice and this permission notice appear in all copies.
*
* THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
* WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
* WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
* AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
* DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
* PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
* TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
* PERFORMANCE OF THIS SOFTWARE.
*/
/**
* @fileoverview C23 Checked Arithmetic
*
* This header defines three type generic functions:
*
* - `bool ckd_add(res, a, b)`
* - `bool ckd_sub(res, a, b)`
* - `bool ckd_mul(res, a, b)`
*
* Which allow integer arithmetic errors to be detected. There are many
* kinds of integer errors, e.g. overflow, truncation, etc. These funcs
* catch them all. Here's an example of how it works:
*
* uint32_t c;
* int32_t a = 0x7fffffff;
* int32_t b = 2;
* assert(!ckd_add(&c, a, b));
* assert(c == 0x80000001u);
*
* Experienced C / C++ users should find this example counter-intuitive
* because the expression `0x7fffffff + 2` not only overflows it's also
* undefined behavior. However here we see it's specified, and does not
* result in an error. That's because C23 checked arithmetic is not the
* arithmetic you're used to. The new standard changes the mathematics.
*
* C23 checked arithmetic is defined as performing the arithmetic using
* infinite precision and then checking if the resulting value will fit
* in the output type. Our example above did not result in an error due
* to `0x80000001` being a legal value for `uint32_t`.
*
* This implementation will use the GNU compiler builtins, when they're
* available, only if you don't use build flags like `-std=c11` because
* they define `__STRICT_ANSI__` and GCC extensions aren't really ANSI.
* Instead, you'll get a pretty good pure C11 and C++11 implementation.
*
* @see https://www.open-std.org/jtc1/sc22/wg14/www/docs/n3096.pdf
* @version 1.0 (2024-12-07)
*/
#ifndef JTCKDINT_H_
#define JTCKDINT_H_
#ifdef __has_include
#define __ckd_has_include(x) __has_include(x)
#else
#define __ckd_has_include(x) 0
#endif
#if __ckd_has_include(<stdckdint.h>) && !defined(__cplusplus)
#include <stdckdint.h>
#else
#define __STDC_VERSION_STDCKDINT_H__ 202311L
#if (!defined(__STRICT_ANSI__) && defined(__SIZEOF_INT128__))
#define __ckd_have_int128
#define __ckd_intmax __int128
#elif ((defined(__cplusplus) && __cplusplus >= 201103L) || \
(defined(__STDC_VERSION__) && __STDC_VERSION__ >= 199901L))
#define __ckd_intmax long long
#else
#define __ckd_intmax long
#endif
typedef signed __ckd_intmax __ckd_intmax_t;
typedef unsigned __ckd_intmax __ckd_uintmax_t;
#ifdef __has_builtin
#define __ckd_has_builtin(x) __has_builtin(x)
#else
#define __ckd_has_builtin(x) 0
#endif
#if (!defined(__STRICT_ANSI__) && \
((defined(__GNUC__) && __GNUC__ >= 5 && !defined(__ICC)) || \
(__ckd_has_builtin(__builtin_add_overflow) && \
__ckd_has_builtin(__builtin_sub_overflow) && \
__ckd_has_builtin(__builtin_mul_overflow))))
#define ckd_add(res, x, y) __builtin_add_overflow((x), (y), (res))
#define ckd_sub(res, x, y) __builtin_sub_overflow((x), (y), (res))
#define ckd_mul(res, x, y) __builtin_mul_overflow((x), (y), (res))
#elif (defined(__cplusplus) && \
(__cplusplus >= 201103L || \
(defined(_MSC_VER) && __cplusplus >= 199711L && \
__ckd_has_include(<type_traits>) && __ckd_has_include(<limits>))))
#include <limits>
#include <type_traits>
template<typename __T, typename __U, typename __V>
inline bool
ckd_add(__T* __res, __U __a, __V __b)
{
static_assert(std::is_integral<__T>::value &&
std::is_integral<__U>::value &&
std::is_integral<__V>::value,
"non-integral types not allowed");
static_assert(!std::is_same<__T, bool>::value &&
!std::is_same<__U, bool>::value &&
!std::is_same<__V, bool>::value,
"checked booleans not supported");
static_assert(!std::is_same<__T, char>::value &&
!std::is_same<__U, char>::value &&
!std::is_same<__V, char>::value,
"unqualified char type is ambiguous");
__ckd_uintmax_t __x = __a;
__ckd_uintmax_t __y = __b;
__ckd_uintmax_t __z = __x + __y;
*__res = __z;
if (sizeof(__z) > sizeof(__U) && sizeof(__z) > sizeof(__V)) {
if (sizeof(__z) > sizeof(__T) || std::is_signed<__T>::value) {
return static_cast<__ckd_intmax_t>(__z) != static_cast<__T>(__z);
} else if (!std::is_same<__T, __ckd_uintmax_t>::value) {
return (
__z != static_cast<__T>(__z) ||
((std::is_signed<__U>::value || std::is_signed<__V>::value) &&
static_cast<__ckd_intmax_t>(__z) < 0));
}
}
bool __truncated = false;
if (sizeof(__T) < sizeof(__ckd_intmax_t)) {
__truncated =
__z != static_cast<__ckd_uintmax_t>(static_cast<__T>(__z));
}
switch (std::is_signed<__T>::value << 2 | //
std::is_signed<__U>::value << 1 | //
std::is_signed<__V>::value) {
case 0: // u = u + u
return __truncated | (__z < __x);
case 1: // u = u + s
__y ^= std::numeric_limits<__ckd_intmax_t>::min();
return __truncated |
(static_cast<__ckd_intmax_t>((__z ^ __x) & (__z ^ __y)) < 0);
case 2: // u = s + u
__x ^= std::numeric_limits<__ckd_intmax_t>::min();
return __truncated |
(static_cast<__ckd_intmax_t>((__z ^ __x) & (__z ^ __y)) < 0);
case 3: // u = s + s
return __truncated |
(static_cast<__ckd_intmax_t>(((__z | __x) & __y) |
((__z & __x) & ~__y)) < 0);
case 4: // s = u + u
return __truncated | (__z < __x) |
(static_cast<__ckd_intmax_t>(__z) < 0);
case 5: // s = u + s
__y ^= std::numeric_limits<__ckd_intmax_t>::min();
return __truncated | (__x + __y < __y);
case 6: // s = s + u
__x ^= std::numeric_limits<__ckd_intmax_t>::min();
return __truncated | (__x + __y < __x);
case 7: // s = s + s
return __truncated |
(static_cast<__ckd_intmax_t>((__z ^ __x) & (__z ^ __y)) < 0);
default:
for (;;)
(void)0;
}
}
template<typename __T, typename __U, typename __V>
inline bool
ckd_sub(__T* __res, __U __a, __V __b)
{
static_assert(std::is_integral<__T>::value &&
std::is_integral<__U>::value &&
std::is_integral<__V>::value,
"non-integral types not allowed");
static_assert(!std::is_same<__T, bool>::value &&
!std::is_same<__U, bool>::value &&
!std::is_same<__V, bool>::value,
"checked booleans not supported");
static_assert(!std::is_same<__T, char>::value &&
!std::is_same<__U, char>::value &&
!std::is_same<__V, char>::value,
"unqualified char type is ambiguous");
__ckd_uintmax_t __x = __a;
__ckd_uintmax_t __y = __b;
__ckd_uintmax_t __z = __x - __y;
*__res = __z;
bool __truncated = false;
if (sizeof(__T) < sizeof(__ckd_intmax_t)) {
__truncated =
__z != static_cast<__ckd_uintmax_t>(static_cast<__T>(__z));
}
switch (std::is_signed<__T>::value << 2 | //
std::is_signed<__U>::value << 1 | //
std::is_signed<__V>::value) {
case 0: // u = u - u
return __truncated | (__x < __y);
case 1: // u = u - s
__y ^= std::numeric_limits<__ckd_intmax_t>::min();
return __truncated |
(static_cast<__ckd_intmax_t>((__x ^ __y) & (__z ^ __x)) < 0);
case 2: // u = s - u
return __truncated | (__y > __x) |
(static_cast<__ckd_intmax_t>(__x) < 0);
case 3: // u = s - s
return __truncated |
(static_cast<__ckd_intmax_t>(((__z & __x) & __y) |
((__z | __x) & ~__y)) < 0);
case 4: // s = u - u
return __truncated |
((__x < __y) ^ (static_cast<__ckd_intmax_t>(__z) < 0));
case 5: // s = u - s
__y ^= std::numeric_limits<__ckd_intmax_t>::min();
return __truncated | (__x >= __y);
case 6: // s = s - u
__x ^= std::numeric_limits<__ckd_intmax_t>::min();
return __truncated | (__x < __y);
case 7: // s = s - s
return __truncated |
(static_cast<__ckd_intmax_t>((__x ^ __y) & (__z ^ __x)) < 0);
default:
for (;;)
(void)0;
}
}
template<typename __T, typename __U, typename __V>
inline bool
ckd_mul(__T* __res, __U __a, __V __b)
{
static_assert(std::is_integral<__T>::value &&
std::is_integral<__U>::value &&
std::is_integral<__V>::value,
"non-integral types not allowed");
static_assert(!std::is_same<__T, bool>::value &&
!std::is_same<__U, bool>::value &&
!std::is_same<__V, bool>::value,
"checked booleans not supported");
static_assert(!std::is_same<__T, char>::value &&
!std::is_same<__U, char>::value &&
!std::is_same<__V, char>::value,
"unqualified char type is ambiguous");
__ckd_uintmax_t __x = __a;
__ckd_uintmax_t __y = __b;
if ((sizeof(__U) * 8 - std::is_signed<__U>::value) +
(sizeof(__V) * 8 - std::is_signed<__V>::value) <=
(sizeof(__T) * 8 - std::is_signed<__T>::value)) {
if (sizeof(__ckd_uintmax_t) > sizeof(__T) ||
std::is_signed<__T>::value) {
__ckd_intmax_t __z = __x * __y;
return __z != (*__res = __z);
} else if (!std::is_same<__T, __ckd_uintmax_t>::value) {
__ckd_uintmax_t __z = __x * __y;
*__res = __z;
return (
__z != static_cast<__T>(__z) ||
((std::is_signed<__U>::value || std::is_signed<__V>::value) &&
static_cast<__ckd_intmax_t>(__z) < 0));
}
}
switch (std::is_signed<__T>::value << 2 | //
std::is_signed<__U>::value << 1 | //
std::is_signed<__V>::value) {
case 0: { // u = u * u
__ckd_uintmax_t __z = __x * __y;
int __o = __x && __z / __x != __y;
*__res = __z;
return __o | (sizeof(__T) < sizeof(__z) &&
__z != static_cast<__ckd_uintmax_t>(*__res));
}
case 1: { // u = u * s
__ckd_uintmax_t __z = __x * __y;
int __o = __x && __z / __x != __y;
*__res = __z;
return (__o | ((static_cast<__ckd_intmax_t>(__y) < 0) & !!__x) |
(sizeof(__T) < sizeof(__z) &&
__z != static_cast<__ckd_uintmax_t>(*__res)));
}
case 2: { // u = s * u
__ckd_uintmax_t __z = __x * __y;
int __o = __x && __z / __x != __y;
*__res = __z;
return (__o | ((static_cast<__ckd_intmax_t>(__x) < 0) & !!__y) |
(sizeof(__T) < sizeof(__z) &&
__z != static_cast<__ckd_uintmax_t>(*__res)));
}
case 3: { // u = s * s
int __o = false;
if (static_cast<__ckd_intmax_t>(__x & __y) < 0) {
__x = 0 - __x;
__y = 0 - __y;
} else if (static_cast<__ckd_intmax_t>(__x ^ __y) < 0) {
__o = __x && __y;
}
__ckd_uintmax_t __z = __x * __y;
__o |= __x && __z / __x != __y;
*__res = __z;
return __o | (sizeof(__T) < sizeof(__z) &&
__z != static_cast<__ckd_uintmax_t>(*__res));
}
case 4: { // s = u * u
__ckd_uintmax_t __z = __x * __y;
int __o = __x && __z / __x != __y;
*__res = __z;
return (__o | (static_cast<__ckd_intmax_t>(__z) < 0) |
(sizeof(__T) < sizeof(__z) &&
__z != static_cast<__ckd_uintmax_t>(*__res)));
}
case 5: { // s = u * s
__ckd_uintmax_t __t = 0 - __y;
__t = static_cast<__ckd_intmax_t>(__t) < 0 ? __y : __t;
__ckd_uintmax_t __p = __t * __x;
int __o = __t && __p / __t != __x;
int __n = static_cast<__ckd_intmax_t>(__y) < 0;
__ckd_uintmax_t __z = __n ? 0 - __p : __p;
*__res = __z;
__ckd_uintmax_t __m = std::numeric_limits<__ckd_intmax_t>::max();
return (__o | (__p > __m + __n) |
(sizeof(__T) < sizeof(__z) &&
__z != static_cast<__ckd_uintmax_t>(*__res)));
}
case 6: { // s = s * u
__ckd_uintmax_t __t = 0 - __x;
__t = static_cast<__ckd_intmax_t>(__t) < 0 ? __x : __t;
__ckd_uintmax_t __p = __t * __y;
int __o = __t && __p / __t != __y;
int __n = static_cast<__ckd_intmax_t>(__x) < 0;
__ckd_uintmax_t __z = __n ? 0 - __p : __p;
*__res = __z;
__ckd_uintmax_t __m = std::numeric_limits<__ckd_intmax_t>::max();
return (__o | (__p > __m + __n) |
(sizeof(__T) < sizeof(__z) &&
__z != static_cast<__ckd_uintmax_t>(*__res)));
}
case 7: { // s = s * s
__ckd_uintmax_t __z = __x * __y;
*__res = __z;
return ((((static_cast<__ckd_intmax_t>(__y) < 0) &&
(static_cast<__ckd_intmax_t>(__x) ==
std::numeric_limits<__ckd_intmax_t>::min())) ||
(__y && ((static_cast<__ckd_intmax_t>(__z) /
static_cast<__ckd_intmax_t>(__y)) !=
static_cast<__ckd_intmax_t>(__x)))) |
(sizeof(__T) < sizeof(__z) &&
__z != static_cast<__ckd_uintmax_t>(*__res)));
}
default:
for (;;)
(void)0;
}
}
#elif defined(__STDC_VERSION__) && __STDC_VERSION__ >= 201112L
#define ckd_add(res, a, b) __ckd_expr(add, (res), (a), (b))
#define ckd_sub(res, a, b) __ckd_expr(sub, (res), (a), (b))
#define ckd_mul(res, a, b) __ckd_expr(mul, (res), (a), (b))
#if defined(__GNUC__) || defined(__llvm__)
#define __ckd_inline \
extern __inline \
__attribute__((__gnu_inline__, __always_inline__, __artificial__))
#else
#define __ckd_inline static inline
#endif
#ifdef __ckd_have_int128
#define __ckd_generic_int128(x, y) \
, \
signed __int128 \
: x \
, unsigned __int128 : y
#else
#define __ckd_generic_int128(x, y)
#endif
#define __ckd_sign(T) ((T)1 << (sizeof(T) * 8 - 1))
#define __ckd_is_signed(x) \
_Generic(x, \
signed char: 1, \
unsigned char: 0, \
signed short: 1, \
unsigned short: 0, \
signed int: 1, \
unsigned int: 0, \
signed long: 1, \
unsigned long: 0, \
signed long long: 1, \
unsigned long long: 0 __ckd_generic_int128(1, 0))
#define __ckd_expr(op, res, a, b) \
(_Generic(*res, \
signed char: __ckd_##op##_schar, \
unsigned char: __ckd_##op##_uchar, \
signed short: __ckd_##op##_sshort, \
unsigned short: __ckd_##op##_ushort, \
signed int: __ckd_##op##_sint, \
unsigned int: __ckd_##op##_uint, \
signed long: __ckd_##op##_slong, \
unsigned long: __ckd_##op##_ulong, \
signed long long: __ckd_##op##_slonger, \
unsigned long long: __ckd_##op##_ulonger __ckd_generic_int128( \
__ckd_##op##_sint128, __ckd_##op##_uint128))( \
res, a, b, __ckd_is_signed(a), __ckd_is_signed(b)))
#define __ckd_declare_add(S, T) \
__ckd_inline char S(void* __res, \
__ckd_uintmax_t __x, \
__ckd_uintmax_t __y, \
char __a_signed, \
char __b_signed) \
{ \
__ckd_uintmax_t __z = __x + __y; \
*(T*)__res = __z; \
char __truncated = 0; \
if (sizeof(T) < sizeof(__ckd_intmax_t)) { \
__truncated = __z != (__ckd_uintmax_t)(T)__z; \
} \
switch (__ckd_is_signed((T)0) << 2 | __a_signed << 1 | __b_signed) { \
case 0: /* u = u + u */ \
return __truncated | (__z < __x); \
case 1: /* u = u + s */ \
__y ^= __ckd_sign(__ckd_uintmax_t); \
return __truncated | \
((__ckd_intmax_t)((__z ^ __x) & (__z ^ __y)) < 0); \
case 2: /* u = s + u */ \
__x ^= __ckd_sign(__ckd_uintmax_t); \
return __truncated | \
((__ckd_intmax_t)((__z ^ __x) & (__z ^ __y)) < 0); \
case 3: /* u = s + s */ \
return __truncated | \
((__ckd_intmax_t)(((__z | __x) & __y) | \
((__z & __x) & ~__y)) < 0); \
case 4: /* s = u + u */ \
return __truncated | (__z < __x) | ((__ckd_intmax_t)__z < 0); \
case 5: /* s = u + s */ \
__y ^= __ckd_sign(__ckd_uintmax_t); \
return __truncated | (__x + __y < __y); \
case 6: /* s = s + u */ \
__x ^= __ckd_sign(__ckd_uintmax_t); \
return __truncated | (__x + __y < __x); \
case 7: /* s = s + s */ \
return __truncated | \
((__ckd_intmax_t)((__z ^ __x) & (__z ^ __y)) < 0); \
default: \
for (;;) \
(void)0; \
} \
}
__ckd_declare_add(__ckd_add_schar,
signed char) __ckd_declare_add(__ckd_add_uchar, unsigned char)
__ckd_declare_add(__ckd_add_sshort, signed short) __ckd_declare_add(
__ckd_add_ushort,
unsigned short) __ckd_declare_add(__ckd_add_sint, signed int)
__ckd_declare_add(__ckd_add_uint, unsigned int) __ckd_declare_add(
__ckd_add_slong,
signed long) __ckd_declare_add(__ckd_add_ulong, unsigned long)
__ckd_declare_add(__ckd_add_slonger,
signed long long) __ckd_declare_add(__ckd_add_ulonger,
unsigned long long)
#ifdef __ckd_have_int128
__ckd_declare_add(__ckd_add_sint128,
signed __int128) __ckd_declare_add(__ckd_add_uint128,
unsigned __int128)
#endif
#define __ckd_declare_sub(S, T) \
__ckd_inline char S(void* __res, \
__ckd_uintmax_t __x, \
__ckd_uintmax_t __y, \
char __a_signed, \
char __b_signed) \
{ \
__ckd_uintmax_t __z = __x - __y; \
*(T*)__res = __z; \
char __truncated = 0; \
if (sizeof(T) < sizeof(__ckd_intmax_t)) { \
__truncated = __z != (__ckd_uintmax_t)(T)__z; \
} \
switch (__ckd_is_signed((T)0) << 2 | __a_signed << 1 | __b_signed) { \
case 0: /* u = u - u */ \
return __truncated | (__x < __y); \
case 1: /* u = u - s */ \
__y ^= __ckd_sign(__ckd_uintmax_t); \
return __truncated | \
((__ckd_intmax_t)((__x ^ __y) & (__z ^ __x)) < 0); \
case 2: /* u = s - u */ \
return __truncated | (__y > __x) | ((__ckd_intmax_t)__x < 0); \
case 3: /* u = s - s */ \
return __truncated | \
((__ckd_intmax_t)(((__z & __x) & __y) | \
((__z | __x) & ~__y)) < 0); \
case 4: /* s = u - u */ \
return __truncated | \
((__x < __y) ^ ((__ckd_intmax_t)__z < 0)); \
case 5: /* s = u - s */ \
__y ^= __ckd_sign(__ckd_uintmax_t); \
return __truncated | (__x >= __y); \
case 6: /* s = s - u */ \
__x ^= __ckd_sign(__ckd_uintmax_t); \
return __truncated | (__x < __y); \
case 7: /* s = s - s */ \
return __truncated | \
((__ckd_intmax_t)((__x ^ __y) & (__z ^ __x)) < 0); \
default: \
for (;;) \
(void)0; \
} \
}
__ckd_declare_sub(__ckd_sub_schar, signed char) __ckd_declare_sub(
__ckd_sub_uchar,
unsigned char) __ckd_declare_sub(__ckd_sub_sshort, signed short)
__ckd_declare_sub(__ckd_sub_ushort,
unsigned short) __ckd_declare_sub(__ckd_sub_sint,
signed int)
__ckd_declare_sub(__ckd_sub_uint, unsigned int) __ckd_declare_sub(
__ckd_sub_slong,
signed long) __ckd_declare_sub(__ckd_sub_ulong, unsigned long)
__ckd_declare_sub(__ckd_sub_slonger, signed long long)
__ckd_declare_sub(__ckd_sub_ulonger, unsigned long long)
#ifdef __ckd_have_int128
__ckd_declare_sub(__ckd_sub_sint128, signed __int128)
__ckd_declare_sub(__ckd_sub_uint128, unsigned __int128)
#endif
#define __ckd_declare_mul(S, T) \
__ckd_inline char S(void* __res, \
__ckd_uintmax_t __x, \
__ckd_uintmax_t __y, \
char __a_signed, \
char __b_signed) \
{ \
switch (__ckd_is_signed((T)0) << 2 | __a_signed << 1 | __b_signed) { \
case 0: { /* u = u * u */ \
__ckd_uintmax_t __z = __x * __y; \
int __o = __x && __z / __x != __y; \
*(T*)__res = __z; \
return __o | (sizeof(T) < sizeof(__z) && \
__z != (__ckd_uintmax_t) * (T*)__res); \
} \
case 1: { /* u = u * s */ \
__ckd_uintmax_t __z = __x * __y; \
int __o = __x && __z / __x != __y; \
*(T*)__res = __z; \
return (__o | (((__ckd_intmax_t)__y < 0) & !!__x) | \
(sizeof(T) < sizeof(__z) && \
__z != (__ckd_uintmax_t) * (T*)__res)); \
} \
case 2: { /* u = s * u */ \
__ckd_uintmax_t __z = __x * __y; \
int __o = __x && __z / __x != __y; \
*(T*)__res = __z; \
return (__o | (((__ckd_intmax_t)__x < 0) & !!__y) | \
(sizeof(T) < sizeof(__z) && \
__z != (__ckd_uintmax_t) * (T*)__res)); \
} \
case 3: { /* u = s * s */ \
int __o = 0; \
if ((__ckd_intmax_t)(__x & __y) < 0) { \
__x = 0 - __x; \
__y = 0 - __y; \
} else if ((__ckd_intmax_t)(__x ^ __y) < 0) { \
__o = __x && __y; \
} \
__ckd_uintmax_t __z = __x * __y; \
__o |= __x && __z / __x != __y; \
*(T*)__res = __z; \
return __o | (sizeof(T) < sizeof(__z) && \
__z != (__ckd_uintmax_t) * (T*)__res); \
} \
case 4: { /* s = u * u */ \
__ckd_uintmax_t __z = __x * __y; \
int __o = __x && __z / __x != __y; \
*(T*)__res = __z; \
return (__o | ((__ckd_intmax_t)(__z) < 0) | \
(sizeof(T) < sizeof(__z) && \
__z != (__ckd_uintmax_t) * (T*)__res)); \
} \
case 5: { /* s = u * s */ \
__ckd_uintmax_t __t = 0 - __y; \
__t = (__ckd_intmax_t)(__t) < 0 ? __y : __t; \
__ckd_uintmax_t __p = __t * __x; \
int __o = __t && __p / __t != __x; \
int __n = (__ckd_intmax_t)__y < 0; \
__ckd_uintmax_t __z = __n ? 0 - __p : __p; \
*(T*)__res = __z; \
__ckd_uintmax_t __m = __ckd_sign(__ckd_uintmax_t) - 1; \
return (__o | (__p > __m + __n) | \
(sizeof(T) < sizeof(__z) && \
__z != (__ckd_uintmax_t) * (T*)__res)); \
} \
case 6: { /* s = s * u */ \
__ckd_uintmax_t __t = 0 - __x; \
__t = (__ckd_intmax_t)(__t) < 0 ? __x : __t; \
__ckd_uintmax_t __p = __t * __y; \
int __o = __t && __p / __t != __y; \
int __n = (__ckd_intmax_t)__x < 0; \
__ckd_uintmax_t __z = __n ? 0 - __p : __p; \
*(T*)__res = __z; \
__ckd_uintmax_t __m = __ckd_sign(__ckd_uintmax_t) - 1; \
return (__o | (__p > __m + __n) | \
(sizeof(T) < sizeof(__z) && \
__z != (__ckd_uintmax_t) * (T*)__res)); \
} \
case 7: { /* s = s * s */ \
__ckd_uintmax_t __z = __x * __y; \
*(T*)__res = __z; \
return ( \
((((__ckd_intmax_t)__y < 0) && \
(__x == __ckd_sign(__ckd_uintmax_t))) || \
(__y && (((__ckd_intmax_t)__z / (__ckd_intmax_t)__y) != \
(__ckd_intmax_t)__x))) | \
(sizeof(T) < sizeof(__z) && \
__z != (__ckd_uintmax_t) * (T*)__res)); \
} \
default: \
for (;;) \
(void)0; \
} \
}
__ckd_declare_mul(__ckd_mul_schar, signed char)
__ckd_declare_mul(__ckd_mul_uchar, unsigned char)
__ckd_declare_mul(
__ckd_mul_sshort,
signed short) __ckd_declare_mul(__ckd_mul_ushort,
unsigned short)
__ckd_declare_mul(__ckd_mul_sint, signed int)
__ckd_declare_mul(__ckd_mul_uint, unsigned int)
__ckd_declare_mul(__ckd_mul_slong,
signed long)
__ckd_declare_mul(__ckd_mul_ulong,
unsigned long)
__ckd_declare_mul(__ckd_mul_slonger,
signed long long)
__ckd_declare_mul(__ckd_mul_ulonger,
unsigned long long)
#ifdef __ckd_have_int128
__ckd_declare_mul(__ckd_mul_sint128,
signed __int128)
__ckd_declare_mul(__ckd_mul_uint128,
unsigned __int128)
#endif
#else
#pragma message "checked integer arithmetic unsupported in this environment"
#define ckd_add(res, x, y) (*(res) = (x) + (y), 0)
#define ckd_sub(res, x, y) (*(res) = (x) - (y), 0)
#define ckd_mul(res, x, y) (*(res) = (x) * (y), 0)
#endif /* GNU */
#endif /* stdckdint.h */
#endif /* JTCKDINT_H_ */