# How to compute the smallest integer number strictly greater than a given number?

#1

Is there a Julia function that returns the smallest integer number strictly greater than a given number? For example, if I give `0.5`, it returns me `1.0`. If I give `1.0`, it returns `2.0`? `ceil()` can do the former example for sure, but for the latter example, it just returns me `1.0`.

By integer, I mean the `Float64` representation of an integer, not any `Int` type. Thanks!

#2

`floor + 1`?

``````julia> blah(x) = floor(x) + 1
blah (generic function with 1 method)
julia> blah(0.5)
1.0
julia> blah(1.0)
2.0
julia> blah(0.9)
1.0
julia> blah(-.5)
0.0
julia> blah(-1.0)
0.0``````

#3

Brilliant!! Thanks!!

#5

Not sure if it matters for your use case, but `f(x) = floor(Int, x) + 1` would be a bit more robust, as not all integers can be represented as floating point

``````julia> f(x) = floor(Int, x) + 1
f (generic function with 1 method)

julia> g(x) = floor(x) + 1
g (generic function with 1 method)

julia> 2^53
9007199254740992

julia> f(float(2^53))
9007199254740993

julia> Int(g(float(2^53)))
9007199254740992

``````