#pragma once namespace common { template inline bool addOverflow(T x, T y, T & res) { return __builtin_add_overflow(x, y, &res); } template <> inline bool addOverflow(int x, int y, int & res) { return __builtin_sadd_overflow(x, y, &res); } template <> inline bool addOverflow(long x, long y, long & res) { return __builtin_saddl_overflow(x, y, &res); } template <> inline bool addOverflow(long long x, long long y, long long & res) { return __builtin_saddll_overflow(x, y, &res); } template <> inline bool addOverflow(__int128 x, __int128 y, __int128 & res) { static constexpr __int128 min_int128 = __int128(0x8000000000000000ll) << 64; static constexpr __int128 max_int128 = (__int128(0x7fffffffffffffffll) << 64) + 0xffffffffffffffffll; res = x + y; return (y > 0 && x > max_int128 - y) || (y < 0 && x < min_int128 - y); } template inline bool subOverflow(T x, T y, T & res) { return __builtin_sub_overflow(x, y, &res); } template <> inline bool subOverflow(int x, int y, int & res) { return __builtin_ssub_overflow(x, y, &res); } template <> inline bool subOverflow(long x, long y, long & res) { return __builtin_ssubl_overflow(x, y, &res); } template <> inline bool subOverflow(long long x, long long y, long long & res) { return __builtin_ssubll_overflow(x, y, &res); } template <> inline bool subOverflow(__int128 x, __int128 y, __int128 & res) { static constexpr __int128 min_int128 = __int128(0x8000000000000000ll) << 64; static constexpr __int128 max_int128 = (__int128(0x7fffffffffffffffll) << 64) + 0xffffffffffffffffll; res = x - y; return (y < 0 && x > max_int128 + y) || (y > 0 && x < min_int128 + y); } template inline bool mulOverflow(T x, T y, T & res) { return __builtin_mul_overflow(x, y, &res); } template <> inline bool mulOverflow(int x, int y, int & res) { return __builtin_smul_overflow(x, y, &res); } template <> inline bool mulOverflow(long x, long y, long & res) { return __builtin_smull_overflow(x, y, &res); } template <> inline bool mulOverflow(long long x, long long y, long long & res) { return __builtin_smulll_overflow(x, y, &res); } template <> inline bool mulOverflow(__int128 x, __int128 y, __int128 & res) { res = static_cast(x) * static_cast(y); /// Avoid signed integer overflow. if (!x || !y) return false; unsigned __int128 a = (x > 0) ? x : -x; unsigned __int128 b = (y > 0) ? y : -y; return (a * b) / b != a; } }