app "prime2"
    packages { pf: "https://github.com/roc-lang/basic-cli/releases/download/0.7.1/Icc3xJoIixF3hCcfXrDwLCu4wQHtNdPyoJkEbkgIElA.tar.br" }
    imports [pf.Stdout, pf.Task, pf.Arg]
    provides [main] to pf

main : Task.Task {} I32
main =
    max <- Task.await parseArg
    numStrings =
        primesIn max
        |> List.map Num.toStr
        |> Str.joinWith "\n"

    Stdout.line "$(numStrings)"

parseArg =
    args <- Task.await (Arg.list)
    arg =
        args
        |> List.get 1
        |> Result.withDefault "50_000_000"
        |> Str.toU64
    when arg is
        Ok a -> a |> Task.ok
        Err InvalidNumStr -> crash "Passed argument is not a numberr"

primesIn : U64 -> List U64
primesIn = \n ->
    numbers = List.concat [2] (List.range { start: At 3u64, end: At n, step: 2 })
    primeSieve numbers n

primeSieve : List U64, U64 -> List U64
primeSieve = \l, max ->
    when l is
        [] -> []
        [a] -> [a]
        [head, ..] if (Num.powInt head 2) > max -> l
        [head, .. as tail] ->
            filteredList = List.dropIf tail (\e -> Num.isMultipleOf e head)
            List.concat [head] (primeSieve filteredList max)

countPrimesIn : U64 -> Nat
countPrimesIn = \limit ->
    List.range { start: At 2, end: At limit }
    |> List.countIf \n ->
        if n < 4 then
            Bool.true
        else if Num.isEven n then
            Bool.false
        else
            res =
                List.range { start: At 3, end: At (Num.ceiling (Num.sqrt (Num.toF64 n))), step: 2 }
                |> List.any \a -> Num.isMultipleOf n a
                |> Bool.not
            res

expect
    (
        countPrimesIn 100000
        |> \expected ->
            dbg expected

            expected
    )
    == (
        List.len (primesIn 100000)
        |> \actual ->
            dbg actual

            actual

    )