package math

import (
	"math/bits"
)

// SafeMul returns x*y and checks for overflow.
func SafeMul(x, y uint64) (uint64, bool) {
	hi, lo := bits.Mul64(x, y)
	return lo, hi != 0
}

// SafeAdd returns x+y and checks for overflow.
func SafeAdd(x, y uint64) (uint64, bool) {
	sum, carryOut := bits.Add64(x, y, 0)
	return sum, carryOut != 0
}