Add overflow-safe math inline functions for unsigned integers
Similarly to the signed versions added in 4d6ad31, this adds a set of inline functions for overflow checks with unsigned integers, including uint16, uint32 and uint64. This relies on compiler built-in overflow checks by default if available. The behavior of unsigned integers is well-defined so the fallback implementations checks are simple for additions and subtractions. Multiplications avoid division-based checks which are expensive if possible, still this can happen for uint64 if 128-bit integers are not available. While on it, the code in common/int.h is reorganized to avoid too many duplicated comments. The new macros will be used in a follow-up patch. All thanks to Andres Freund for the input provided. Author: Fabien Coelho, Michael Paquier Discussion: https://postgr.es/m/20190830073423.GB2354@paquier.xyz
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@ -20,10 +20,28 @@
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#ifndef COMMON_INT_H
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#define COMMON_INT_H
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/*
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* If a + b overflows, return true, otherwise store the result of a + b into
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* *result. The content of *result is implementation defined in case of
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/*---------
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* The following guidelines apply to all the routines:
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* - If a + b overflows, return true, otherwise store the result of a + b
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* into *result. The content of *result is implementation defined in case of
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* overflow.
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* - If a - b overflows, return true, otherwise store the result of a - b
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* into *result. The content of *result is implementation defined in case of
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* overflow.
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* - If a * b overflows, return true, otherwise store the result of a * b
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* into *result. The content of *result is implementation defined in case of
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* overflow.
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*---------
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*/
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/*------------------------------------------------------------------------
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* Overflow routines for signed integers
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*------------------------------------------------------------------------
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*/
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/*
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* INT16
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*/
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static inline bool
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pg_add_s16_overflow(int16 a, int16 b, int16 *result)
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@ -43,11 +61,6 @@ pg_add_s16_overflow(int16 a, int16 b, int16 *result)
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#endif
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}
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/*
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* If a - b overflows, return true, otherwise store the result of a - b into
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* *result. The content of *result is implementation defined in case of
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* overflow.
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*/
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static inline bool
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pg_sub_s16_overflow(int16 a, int16 b, int16 *result)
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{
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@ -66,11 +79,6 @@ pg_sub_s16_overflow(int16 a, int16 b, int16 *result)
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#endif
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}
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/*
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* If a * b overflows, return true, otherwise store the result of a * b into
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* *result. The content of *result is implementation defined in case of
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* overflow.
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*/
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static inline bool
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pg_mul_s16_overflow(int16 a, int16 b, int16 *result)
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{
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@ -90,9 +98,7 @@ pg_mul_s16_overflow(int16 a, int16 b, int16 *result)
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}
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/*
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* If a + b overflows, return true, otherwise store the result of a + b into
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* *result. The content of *result is implementation defined in case of
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* overflow.
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* INT32
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*/
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static inline bool
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pg_add_s32_overflow(int32 a, int32 b, int32 *result)
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@ -112,11 +118,6 @@ pg_add_s32_overflow(int32 a, int32 b, int32 *result)
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#endif
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}
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/*
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* If a - b overflows, return true, otherwise store the result of a - b into
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* *result. The content of *result is implementation defined in case of
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* overflow.
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*/
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static inline bool
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pg_sub_s32_overflow(int32 a, int32 b, int32 *result)
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{
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@ -135,11 +136,6 @@ pg_sub_s32_overflow(int32 a, int32 b, int32 *result)
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#endif
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}
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/*
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* If a * b overflows, return true, otherwise store the result of a * b into
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* *result. The content of *result is implementation defined in case of
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* overflow.
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*/
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static inline bool
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pg_mul_s32_overflow(int32 a, int32 b, int32 *result)
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{
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@ -159,9 +155,7 @@ pg_mul_s32_overflow(int32 a, int32 b, int32 *result)
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}
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/*
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* If a + b overflows, return true, otherwise store the result of a + b into
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* *result. The content of *result is implementation defined in case of
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* overflow.
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* INT64
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*/
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static inline bool
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pg_add_s64_overflow(int64 a, int64 b, int64 *result)
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@ -190,11 +184,6 @@ pg_add_s64_overflow(int64 a, int64 b, int64 *result)
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#endif
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}
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/*
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* If a - b overflows, return true, otherwise store the result of a - b into
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* *result. The content of *result is implementation defined in case of
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* overflow.
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*/
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static inline bool
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pg_sub_s64_overflow(int64 a, int64 b, int64 *result)
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{
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@ -222,11 +211,6 @@ pg_sub_s64_overflow(int64 a, int64 b, int64 *result)
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#endif
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}
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/*
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* If a * b overflows, return true, otherwise store the result of a * b into
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* *result. The content of *result is implementation defined in case of
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* overflow.
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*/
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static inline bool
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pg_mul_s64_overflow(int64 a, int64 b, int64 *result)
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{
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@ -270,4 +254,184 @@ pg_mul_s64_overflow(int64 a, int64 b, int64 *result)
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#endif
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}
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/*------------------------------------------------------------------------
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* Overflow routines for unsigned integers
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*------------------------------------------------------------------------
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*/
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/*
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* UINT16
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*/
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static inline bool
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pg_add_u16_overflow(uint16 a, uint16 b, uint16 *result)
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{
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#if defined(HAVE__BUILTIN_OP_OVERFLOW)
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return __builtin_add_overflow(a, b, result);
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#else
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uint16 res = a + b;
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if (res < a)
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{
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*result = 0x5EED; /* to avoid spurious warnings */
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return true;
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}
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*result = res;
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return false;
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#endif
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}
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static inline bool
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pg_sub_u16_overflow(uint16 a, uint16 b, uint16 *result)
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{
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#if defined(HAVE__BUILTIN_OP_OVERFLOW)
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return __builtin_sub_overflow(a, b, result);
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#else
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if (b > a)
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{
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*result = 0x5EED; /* to avoid spurious warnings */
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return true;
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}
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*result = a - b;
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return false;
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#endif
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}
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static inline bool
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pg_mul_u16_overflow(uint16 a, uint16 b, uint16 *result)
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{
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#if defined(HAVE__BUILTIN_OP_OVERFLOW)
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return __builtin_mul_overflow(a, b, result);
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#else
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uint32 res = (uint32) a * (uint32) b;
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if (res > PG_UINT16_MAX)
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{
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*result = 0x5EED; /* to avoid spurious warnings */
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return true;
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}
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*result = (uint16) res;
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return false;
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#endif
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}
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/*
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* INT32
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*/
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static inline bool
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pg_add_u32_overflow(uint32 a, uint32 b, uint32 *result)
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{
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#if defined(HAVE__BUILTIN_OP_OVERFLOW)
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return __builtin_add_overflow(a, b, result);
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#else
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uint32 res = a + b;
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if (res < a)
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{
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*result = 0x5EED; /* to avoid spurious warnings */
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return true;
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}
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*result = res;
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return false;
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#endif
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}
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static inline bool
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pg_sub_u32_overflow(uint32 a, uint32 b, uint32 *result)
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{
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#if defined(HAVE__BUILTIN_OP_OVERFLOW)
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return __builtin_sub_overflow(a, b, result);
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#else
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if (b > a)
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{
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*result = 0x5EED; /* to avoid spurious warnings */
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return true;
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}
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*result = a - b;
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return false;
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#endif
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}
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static inline bool
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pg_mul_u32_overflow(uint32 a, uint32 b, uint32 *result)
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{
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#if defined(HAVE__BUILTIN_OP_OVERFLOW)
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return __builtin_mul_overflow(a, b, result);
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#else
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uint64 res = (uint64) a * (uint64) b;
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if (res > PG_UINT32_MAX)
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{
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*result = 0x5EED; /* to avoid spurious warnings */
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return true;
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}
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*result = (uint32) res;
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return false;
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#endif
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}
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/*
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* UINT64
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*/
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static inline bool
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pg_add_u64_overflow(uint64 a, uint64 b, uint64 *result)
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{
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#if defined(HAVE__BUILTIN_OP_OVERFLOW)
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return __builtin_add_overflow(a, b, result);
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#else
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uint64 res = a + b;
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if (res < a)
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{
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*result = 0x5EED; /* to avoid spurious warnings */
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return true;
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}
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*result = res;
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return false;
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#endif
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}
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static inline bool
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pg_sub_u64_overflow(uint64 a, uint64 b, uint64 *result)
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{
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#if defined(HAVE__BUILTIN_OP_OVERFLOW)
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return __builtin_sub_overflow(a, b, result);
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#else
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if (b > a)
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{
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*result = 0x5EED; /* to avoid spurious warnings */
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return true;
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}
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*result = a - b;
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return false;
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#endif
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}
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static inline bool
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pg_mul_u64_overflow(uint64 a, uint64 b, uint64 *result)
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{
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#if defined(HAVE__BUILTIN_OP_OVERFLOW)
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return __builtin_mul_overflow(a, b, result);
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#elif defined(HAVE_INT128)
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uint128 res = (uint128) a * (uint128) b;
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if (res > PG_UINT64_MAX)
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{
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*result = 0x5EED; /* to avoid spurious warnings */
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return true;
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}
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*result = (uint64) res;
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return false;
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#else
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uint64 res = a * b;
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if (a != 0 && b != res / a)
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{
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*result = 0x5EED; /* to avoid spurious warnings */
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return true;
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}
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*result = res;
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return false;
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#endif
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}
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#endif /* COMMON_INT_H */
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