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Prime number generator using Elixir Streams
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defmodule Primes do | |
@doc """ | |
Generates a stream of primes. | |
iex> Primes.primes() |> Enum.take(5) | |
[2, 3, 5, 7, 11] | |
iex> Primes.primes() |> Enum.at(25) | |
101 | |
""" | |
@spec primes() :: Stream.t | |
def primes() do | |
final = fn primes -> {:cont, primes} end | |
step = fn number, primes -> | |
sqr_root = :math.sqrt(number) |> trunc() | |
if 2..sqr_root |> Stream.filter(&(MapSet.member?(primes, &1))) |> Enum.any?(&(rem(number, &1) == 0)) do | |
{:cont, primes} | |
else | |
{:cont, number, MapSet.put(primes, number)} | |
end | |
end | |
Stream.iterate(2, &(&1 + 1)) |> Stream.chunk_while(MapSet.new, step, final) | |
end | |
end |
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