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- /*-------------------------------------------------------------------------
- *
- * int.h
- * Routines to perform integer math, while checking for overflows.
- *
- * The routines in this file are intended to be well defined C, without
- * relying on compiler flags like -fwrapv.
- *
- * To reduce the overhead of these routines try to use compiler intrinsics
- * where available. That's not that important for the 16, 32 bit cases, but
- * the 64 bit cases can be considerably faster with intrinsics. In case no
- * intrinsics are available 128 bit math is used where available.
- *
- * Copyright (c) 2017-2019, PostgreSQL Global Development Group
- *
- * src/include/common/int.h
- *
- *-------------------------------------------------------------------------
- */
- #ifndef COMMON_INT_H
- #define COMMON_INT_H
-
- /*
- * If a + b overflows, return true, otherwise store the result of a + b into
- * *result. The content of *result is implementation defined in case of
- * overflow.
- */
- static inline bool
- pg_add_s16_overflow(int16 a, int16 b, int16 *result)
- {
- #if defined(HAVE__BUILTIN_OP_OVERFLOW)
- return __builtin_add_overflow(a, b, result);
- #else
- int32 res = (int32) a + (int32) b;
-
- if (res > PG_INT16_MAX || res < PG_INT16_MIN)
- {
- *result = 0x5EED; /* to avoid spurious warnings */
- return true;
- }
- *result = (int16) res;
- return false;
- #endif
- }
-
- /*
- * If a - b overflows, return true, otherwise store the result of a - b into
- * *result. The content of *result is implementation defined in case of
- * overflow.
- */
- static inline bool
- pg_sub_s16_overflow(int16 a, int16 b, int16 *result)
- {
- #if defined(HAVE__BUILTIN_OP_OVERFLOW)
- return __builtin_sub_overflow(a, b, result);
- #else
- int32 res = (int32) a - (int32) b;
-
- if (res > PG_INT16_MAX || res < PG_INT16_MIN)
- {
- *result = 0x5EED; /* to avoid spurious warnings */
- return true;
- }
- *result = (int16) res;
- return false;
- #endif
- }
-
- /*
- * If a * b overflows, return true, otherwise store the result of a * b into
- * *result. The content of *result is implementation defined in case of
- * overflow.
- */
- static inline bool
- pg_mul_s16_overflow(int16 a, int16 b, int16 *result)
- {
- #if defined(HAVE__BUILTIN_OP_OVERFLOW)
- return __builtin_mul_overflow(a, b, result);
- #else
- int32 res = (int32) a * (int32) b;
-
- if (res > PG_INT16_MAX || res < PG_INT16_MIN)
- {
- *result = 0x5EED; /* to avoid spurious warnings */
- return true;
- }
- *result = (int16) res;
- return false;
- #endif
- }
-
- /*
- * If a + b overflows, return true, otherwise store the result of a + b into
- * *result. The content of *result is implementation defined in case of
- * overflow.
- */
- static inline bool
- pg_add_s32_overflow(int32 a, int32 b, int32 *result)
- {
- #if defined(HAVE__BUILTIN_OP_OVERFLOW)
- return __builtin_add_overflow(a, b, result);
- #else
- int64 res = (int64) a + (int64) b;
-
- if (res > PG_INT32_MAX || res < PG_INT32_MIN)
- {
- *result = 0x5EED; /* to avoid spurious warnings */
- return true;
- }
- *result = (int32) res;
- return false;
- #endif
- }
-
- /*
- * If a - b overflows, return true, otherwise store the result of a - b into
- * *result. The content of *result is implementation defined in case of
- * overflow.
- */
- static inline bool
- pg_sub_s32_overflow(int32 a, int32 b, int32 *result)
- {
- #if defined(HAVE__BUILTIN_OP_OVERFLOW)
- return __builtin_sub_overflow(a, b, result);
- #else
- int64 res = (int64) a - (int64) b;
-
- if (res > PG_INT32_MAX || res < PG_INT32_MIN)
- {
- *result = 0x5EED; /* to avoid spurious warnings */
- return true;
- }
- *result = (int32) res;
- return false;
- #endif
- }
-
- /*
- * If a * b overflows, return true, otherwise store the result of a * b into
- * *result. The content of *result is implementation defined in case of
- * overflow.
- */
- static inline bool
- pg_mul_s32_overflow(int32 a, int32 b, int32 *result)
- {
- #if defined(HAVE__BUILTIN_OP_OVERFLOW)
- return __builtin_mul_overflow(a, b, result);
- #else
- int64 res = (int64) a * (int64) b;
-
- if (res > PG_INT32_MAX || res < PG_INT32_MIN)
- {
- *result = 0x5EED; /* to avoid spurious warnings */
- return true;
- }
- *result = (int32) res;
- return false;
- #endif
- }
-
- /*
- * If a + b overflows, return true, otherwise store the result of a + b into
- * *result. The content of *result is implementation defined in case of
- * overflow.
- */
- static inline bool
- pg_add_s64_overflow(int64 a, int64 b, int64 *result)
- {
- #if defined(HAVE__BUILTIN_OP_OVERFLOW)
- return __builtin_add_overflow(a, b, result);
- #elif defined(HAVE_INT128)
- int128 res = (int128) a + (int128) b;
-
- if (res > PG_INT64_MAX || res < PG_INT64_MIN)
- {
- *result = 0x5EED; /* to avoid spurious warnings */
- return true;
- }
- *result = (int64) res;
- return false;
- #else
- if ((a > 0 && b > 0 && a > PG_INT64_MAX - b) ||
- (a < 0 && b < 0 && a < PG_INT64_MIN - b))
- {
- *result = 0x5EED; /* to avoid spurious warnings */
- return true;
- }
- *result = a + b;
- return false;
- #endif
- }
-
- /*
- * If a - b overflows, return true, otherwise store the result of a - b into
- * *result. The content of *result is implementation defined in case of
- * overflow.
- */
- static inline bool
- pg_sub_s64_overflow(int64 a, int64 b, int64 *result)
- {
- #if defined(HAVE__BUILTIN_OP_OVERFLOW)
- return __builtin_sub_overflow(a, b, result);
- #elif defined(HAVE_INT128)
- int128 res = (int128) a - (int128) b;
-
- if (res > PG_INT64_MAX || res < PG_INT64_MIN)
- {
- *result = 0x5EED; /* to avoid spurious warnings */
- return true;
- }
- *result = (int64) res;
- return false;
- #else
- if ((a < 0 && b > 0 && a < PG_INT64_MIN + b) ||
- (a > 0 && b < 0 && a > PG_INT64_MAX + b))
- {
- *result = 0x5EED; /* to avoid spurious warnings */
- return true;
- }
- *result = a - b;
- return false;
- #endif
- }
-
- /*
- * If a * b overflows, return true, otherwise store the result of a * b into
- * *result. The content of *result is implementation defined in case of
- * overflow.
- */
- static inline bool
- pg_mul_s64_overflow(int64 a, int64 b, int64 *result)
- {
- #if defined(HAVE__BUILTIN_OP_OVERFLOW)
- return __builtin_mul_overflow(a, b, result);
- #elif defined(HAVE_INT128)
- int128 res = (int128) a * (int128) b;
-
- if (res > PG_INT64_MAX || res < PG_INT64_MIN)
- {
- *result = 0x5EED; /* to avoid spurious warnings */
- return true;
- }
- *result = (int64) res;
- return false;
- #else
- /*
- * Overflow can only happen if at least one value is outside the range
- * sqrt(min)..sqrt(max) so check that first as the division can be quite a
- * bit more expensive than the multiplication.
- *
- * Multiplying by 0 or 1 can't overflow of course and checking for 0
- * separately avoids any risk of dividing by 0. Be careful about dividing
- * INT_MIN by -1 also, note reversing the a and b to ensure we're always
- * dividing it by a positive value.
- *
- */
- if ((a > PG_INT32_MAX || a < PG_INT32_MIN ||
- b > PG_INT32_MAX || b < PG_INT32_MIN) &&
- a != 0 && a != 1 && b != 0 && b != 1 &&
- ((a > 0 && b > 0 && a > PG_INT64_MAX / b) ||
- (a > 0 && b < 0 && b < PG_INT64_MIN / a) ||
- (a < 0 && b > 0 && a < PG_INT64_MIN / b) ||
- (a < 0 && b < 0 && a < PG_INT64_MAX / b)))
- {
- *result = 0x5EED; /* to avoid spurious warnings */
- return true;
- }
- *result = a * b;
- return false;
- #endif
- }
-
- #endif /* COMMON_INT_H */
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