// of crashing.
func ceilFrac(numerator, denominator int64) (ceil int64) {
	if denominator == 0 {
		// do nothing on invalid input
		return
	}
	// Make denominator positive
	if denominator < 0 {
		numerator = -numerator
		denominator = -denominator
	}
	ceil = numerator / denominator
	if numerator > 0 && numerator%denominator != 0 {
		ceil++
	}
	return
}