What is the best way to split a string by a delimiter functionally?

Question

I tried to write the program in Haskell that will take a string of integer numbers delimitated by comma, convert it to list of integer numbers and increment each number by 1

Answer 1

splitBy delimiter = foldr f [[]] 
            where f c l@(x:xs) | c == delimiter = []:l
                             | otherwise = (c:x):xs

Edit: not by the original author, but below is a more (overly?) verbose, and less flexible version (specific to Char/String) to help clarify how this works. Use the above version because it works on any list of a type with an Eq instance.

splitBy :: Char -> String -> [String]
splitBy _ "" = [];
splitBy delimiterChar inputString = foldr f [""] inputString
  where f :: Char -> [String] -> [String]
        f currentChar allStrings@(partialString:handledStrings)
          | currentChar == delimiterChar = "":allStrings -- start a new partial string at the head of the list of all strings
          | otherwise = (currentChar:partialString):handledStrings -- add the current char to the partial string

-- input:       "a,b,c"
-- fold steps:
-- first step:  'c' -> [""] -> ["c"]
-- second step: ',' -> ["c"] -> ["","c"]
-- third step:  'b' -> ["","c"] -> ["b","c"]
-- fourth step: ',' -> ["b","c"] -> ["","b","c"]
-- fifth step:  'a' -> ["","b","c"] -> ["a","b","c"]