module Homework.Ch01.CreditCards where

toDigits :: Integer -> [Integer]
toDigits = go []
  where
    go acc 0 = acc
    go acc n = go (n `mod` 10 : acc) (n `div` 10)

revDigits :: [Integer] -> [Integer]
revDigits = go []
  where
    go acc (x : xs) = go (x : acc) xs
    go acc [] = acc

toDigitsRev :: Integer -> [Integer]
toDigitsRev = revDigits . toDigits

doubleEveryOther :: [Integer] -> [Integer]
doubleEveryOther = revDigits . go []
  where
    go acc (first : second : rest) = go ((second * 2) : first : acc) rest
    go acc [last'] = last' : acc
    go acc [] = acc

sumDigits :: [Integer] -> Integer
sumDigits digits = foldDigits 0 (+) [y | x <- digits, y <- toDigits x]
  where
    foldDigits acc f (x : xs) = foldDigits (f x acc) f xs
    foldDigits acc _ [] = acc

validateWithParens :: Integer -> Bool
validateWithParens n = f n `mod` 10 == 0
  where
    f n' = sumDigits (doubleEveryOther (toDigitsRev n'))

validateWithDollars :: Integer -> Bool
validateWithDollars n = f n `mod` 10 == 0
  where
    f n' = sumDigits $ doubleEveryOther $ toDigitsRev n'

validateWithCompose :: Integer -> Bool
validateWithCompose n = f n `mod` 10 == 0
  where
    f = sumDigits . doubleEveryOther . toDigitsRev