tvl-depot/assessments/semiprimes/server/lib/server.ex
William Carroll ee96a818e1 Define Server.semiprime
- Clear the boilerplate that `mix` generated
- Consume `Math.factor` to test which inputs are semiprimes
- Cache all inputs that are semiprimes as soon as we discover that they are
- semiprimes

I considered a couple things related to the Cache:
- Could save space by storing all semiprime factors in a tree. This would make
  the lookups more expensive. Also because the tree's depth would never exceed
  two (because all semiprimes only have two factors), the tree would be quite
  broad, and we may not be saving enough space for the trade to be worthwhile. I
  might be wrong about that though.
- We could consider pre-computing all semiprimes when we start the app, but
  without running some tests firsts, I'm not sure whether or not it's worth the
  trouble.
2020-12-12 01:32:31 +00:00

33 lines
547 B
Elixir

defmodule Server do
@moduledoc """
Documentation for `Server`.
"""
@doc """
If `n` contains exactly two prime factors, return those prime factors;
otherwise, return nothing.
"""
def semiprime(n) do
case Cache.get(n) do
nil ->
case do_semiprime(n) do
nil ->
nil
res ->
Cache.put(n, res)
res
end
hit ->
hit
end
end
defp do_semiprime(n) do
case Math.factor(n) do
[_, _] = res -> res
_ -> nil
end
end
end