y and z combinator in elixir

y_z_combinator.exs

y = fn (f) ->
  (fn (x) ->
    f.(x.(x))
  end).(
    fn (x) ->
      f.(x.(x))
    end)
end       

z = fn (f) ->
  (fn (x) ->
    f.(fn (y) ->
      x.(x).(y)
    end)
  end).(
    fn (x) ->
      f.(fn (y) ->
        x.(x).(y)
      end)
    end)
end

mod = z.(
  fn(mod) ->
    fn(m) ->
      fn(n) ->
        if n<=m do
          mod.(m-n).(n)
        else
          m
        end
      end
    end
  end)


mod.(100).(7) 
mod.(100).(5)