Util

Highly random utility functions

Flags dependent on the compiler build

ghciSupported :: Bool

debugIsOn :: Bool

ghciTablesNextToCode :: Bool

isWindowsHost :: Bool

isDarwinHost :: Bool

Miscellaneous higher-order functions

applyWhen :: Bool -> (a -> a) -> a -> a

Apply a function iff some condition is met.

nTimes :: Int -> (a -> a) -> a -> a

A for loop: Compose a function with itself n times. (nth rather than twice)

General list processing

zipEqual :: String -> [a] -> [b] -> [(a, b)]

zipWithEqual :: String -> (a -> b -> c) -> [a] -> [b] -> [c]

zipWith3Equal :: String -> (a -> b -> c -> d) -> [a] -> [b] -> [c] -> [d]

zipWith4Equal :: String -> (a -> b -> c -> d -> e) -> [a] -> [b] -> [c] -> [d] -> [e]

zipLazy :: [a] -> [b] -> [(a, b)]

zipLazy is a kind of zip that is lazy in the second list (observe the ~)

stretchZipWith :: (a -> Bool) -> b -> (a -> b -> c) -> [a] -> [b] -> [c]

stretchZipWith p z f xs ys stretches ys by inserting z in the places where p returns True

zipWithAndUnzip :: (a -> b -> (c, d)) -> [a] -> [b] -> ([c], [d])

zipAndUnzip :: [a] -> [b] -> ([a], [b])

This has the effect of making the two lists have equal length by dropping the tail of the longer one.

zipWithLazy :: (a -> b -> c) -> [a] -> [b] -> [c]

zipWithLazy is like zipWith but is lazy in the second list. The length of the output is always the same as the length of the first list.

zipWith3Lazy :: (a -> b -> c -> d) -> [a] -> [b] -> [c] -> [d]

zipWith3Lazy is like zipWith3 but is lazy in the second and third lists. The length of the output is always the same as the length of the first list.

filterByList :: [Bool] -> [a] -> [a]

filterByList takes a list of Bools and a list of some elements and filters out these elements for which the corresponding value in the list of Bools is False. This function does not check whether the lists have equal length.

filterByLists :: [Bool] -> [a] -> [a] -> [a]

filterByLists takes a list of Bools and two lists as input, and outputs a new list consisting of elements from the last two input lists. For each Bool in the list, if it is True, then it takes an element from the former list. If it is False, it takes an element from the latter list. The elements taken correspond to the index of the Bool in its list. For example:

filterByLists [True, False, True, False] "abcd" "wxyz" = "axcz"

This function does not check whether the lists have equal length.

partitionByList :: [Bool] -> [a] -> ([a], [a])

partitionByList takes a list of Bools and a list of some elements and partitions the list according to the list of Bools. Elements corresponding to True go to the left; elements corresponding to False go to the right. For example, partitionByList [True, False, True] [1,2,3] == ([1,3], [2]) This function does not check whether the lists have equal length; when one list runs out, the function stops.

unzipWith :: (a -> b -> c) -> [(a, b)] -> [c]

mapFst :: (a -> c) -> [(a, b)] -> [(c, b)]

mapSnd :: (b -> c) -> [(a, b)] -> [(a, c)]

chkAppend :: [a] -> [a] -> [a]

mapAndUnzip :: (a -> (b, c)) -> [a] -> ([b], [c])

mapAndUnzip3 :: (a -> (b, c, d)) -> [a] -> ([b], [c], [d])

mapAccumL2 :: (s1 -> s2 -> a -> (s1, s2, b)) -> s1 -> s2 -> [a] -> (s1, s2, [b])

filterOut :: (a -> Bool) -> [a] -> [a]

Like filter, only it reverses the sense of the test

partitionWith :: (a -> Either b c) -> [a] -> ([b], [c])

Uses a function to determine which of two output lists an input element should join

dropWhileEndLE :: (a -> Bool) -> [a] -> [a]

spanEnd :: (a -> Bool) -> [a] -> ([a], [a])

spanEnd p l == reverse (span p (reverse l)). The first list returns actually comes after the second list (when you look at the input list).

last2 :: [a] -> (a, a)

Get the last two elements in a list. Partial!

lastMaybe :: [a] -> Maybe a

foldl1' :: (a -> a -> a) -> [a] -> a

A strict version of foldl1

foldl2 :: (acc -> a -> b -> acc) -> acc -> [a] -> [b] -> acc

count :: (a -> Bool) -> [a] -> Int

countWhile :: (a -> Bool) -> [a] -> Int

all2 :: (a -> b -> Bool) -> [a] -> [b] -> Bool

lengthExceeds :: [a] -> Int -> Bool

(lengthExceeds xs n) = (length xs > n)

lengthIs :: [a] -> Int -> Bool

(lengthIs xs n) = (length xs == n)

lengthIsNot :: [a] -> Int -> Bool

(lengthIsNot xs n) = (length xs /= n)

lengthAtLeast :: [a] -> Int -> Bool

(lengthAtLeast xs n) = (length xs >= n)

lengthAtMost :: [a] -> Int -> Bool

(lengthAtMost xs n) = (length xs <= n)

lengthLessThan :: [a] -> Int -> Bool

(lengthLessThan xs n) == (length xs < n)

listLengthCmp :: [a] -> Int -> Ordering

atLength :: ([a] -> b) -> b -> [a] -> Int -> b

atLength atLen atEnd ls n unravels list ls to position n. Precisely:

 atLength atLenPred atEndPred ls n
  | n < 0         = atLenPred ls
  | length ls < n = atEndPred (n - length ls)
  | otherwise     = atLenPred (drop n ls)

equalLength :: [a] -> [b] -> Bool

True if length xs == length ys

compareLength :: [a] -> [b] -> Ordering

leLength :: [a] -> [b] -> Bool

True if length xs <= length ys

ltLength :: [a] -> [b] -> Bool

True if length xs < length ys

isSingleton :: [a] -> Bool

only :: [a] -> a

singleton :: a -> [a]

notNull :: [a] -> Bool

snocView :: [a] -> Maybe ([a], a)

Split a list into its last element and the initial part of the list. snocView xs = Just (init xs, last xs) for non-empty lists. snocView xs = Nothing otherwise. Unless both parts of the result are guaranteed to be used prefer separate calls to last + init. If you are guaranteed to use both, this will be more efficient.

isIn :: Eq a => String -> a -> [a] -> Bool

isn'tIn :: Eq a => String -> a -> [a] -> Bool

chunkList :: Int -> [a] -> [[a]]

Split a list into chunks of n elements

changeLast :: [a] -> a -> [a]

Replace the last element of a list with another element.

whenNonEmpty :: Applicative m => [a] -> (NonEmpty a -> m ()) -> m ()

Tuples

fstOf3 :: (a, b, c) -> a

sndOf3 :: (a, b, c) -> b

thdOf3 :: (a, b, c) -> c

firstM :: Monad m => (a -> m c) -> (a, b) -> m (c, b)

first3M :: Monad m => (a -> m d) -> (a, b, c) -> m (d, b, c)

secondM :: Monad m => (b -> m c) -> (a, b) -> m (a, c)

fst3 :: (a -> d) -> (a, b, c) -> (d, b, c)

snd3 :: (b -> d) -> (a, b, c) -> (a, d, c)

third3 :: (c -> d) -> (a, b, c) -> (a, b, d)

uncurry3 :: (a -> b -> c -> d) -> (a, b, c) -> d

liftFst :: (a -> b) -> (a, c) -> (b, c)

liftSnd :: (a -> b) -> (c, a) -> (c, b)

List operations controlled by another list

takeList :: [b] -> [a] -> [a]

dropList :: [b] -> [a] -> [a]

splitAtList :: [b] -> [a] -> ([a], [a])

split :: Char -> String -> [String]

dropTail :: Int -> [a] -> [a]

capitalise :: String -> String

Convert a word to title case by capitalising the first letter

Sorting

sortWith :: Ord b => (a -> b) -> [a] -> [a]

The sortWith function sorts a list of elements using the user supplied function to project something out of each element

minWith :: Ord b => (a -> b) -> [a] -> a

nubSort :: Ord a => [a] -> [a]

ordNub :: Ord a => [a] -> [a]

Remove duplicates but keep elements in order. O(n * log n)

Comparisons

isEqual :: Ordering -> Bool

eqListBy :: (a -> a -> Bool) -> [a] -> [a] -> Bool

eqMaybeBy :: (a -> a -> Bool) -> Maybe a -> Maybe a -> Bool

thenCmp :: Ordering -> Ordering -> Ordering infixr 9

cmpList :: (a -> a -> Ordering) -> [a] -> [a] -> Ordering

removeSpaces :: String -> String

(<&&>) :: Applicative f => f Bool -> f Bool -> f Bool infixr 3

(<||>) :: Applicative f => f Bool -> f Bool -> f Bool infixr 2

Edit distance

fuzzyMatch :: String -> [String] -> [String]

fuzzyLookup :: String -> [(String, a)] -> [a]

Search for possible matches to the users input in the given list, returning a small number of ranked results

Transitive closures

transitiveClosure :: (a -> [a]) -> (a -> a -> Bool) -> [a] -> [a]

Strictness

seqList :: [a] -> b -> b

Module names

looksLikeModuleName :: String -> Bool

looksLikePackageName :: String -> Bool

Argument processing

getCmd :: String -> Either String (String, String)

toCmdArgs :: String -> Either String (String, [String])

toArgs :: String -> Either String [String]

Integers

exactLog2 :: Integer -> Maybe Integer

Determine the $log_2$ of exact powers of 2

Floating point

readRational :: String -> Rational

readHexRational :: String -> Rational

IO-ish utilities

doesDirNameExist :: FilePath -> IO Bool

getModificationUTCTime :: FilePath -> IO UTCTime

modificationTimeIfExists :: FilePath -> IO (Maybe UTCTime)

withAtomicRename :: MonadIO m => FilePath -> (FilePath -> m a) -> m a

global :: a -> IORef a

consIORef :: IORef [a] -> a -> IO ()

globalM :: IO a -> IORef a

sharedGlobal :: a -> (Ptr (IORef a) -> IO (Ptr (IORef a))) -> IORef a

sharedGlobalM :: IO a -> (Ptr (IORef a) -> IO (Ptr (IORef a))) -> IORef a

Filenames and paths

type Suffix = String

splitLongestPrefix :: String -> (Char -> Bool) -> (String, String)

escapeSpaces :: String -> String

data Direction

Constructors

Forwards

Backwards

reslash :: Direction -> FilePath -> FilePath

makeRelativeTo :: FilePath -> FilePath -> FilePath

Utils for defining Data instances

abstractConstr :: String -> Constr

abstractDataType :: String -> DataType

mkNoRepType :: String -> DataType

Constructs a non-representation for a non-representable type

Utils for printing C code

charToC :: Word8 -> String

Hashing

hashString :: String -> Int32

A sample hash function for Strings. We keep multiplying by the golden ratio and adding. The implementation is:

hashString = foldl' f golden
  where f m c = fromIntegral (ord c) * magic + hashInt32 m
        magic = 0xdeadbeef

Where hashInt32 works just as hashInt shown above.

Knuth argues that repeated multiplication by the golden ratio will minimize gaps in the hash space, and thus it's a good choice for combining together multiple keys to form one.

Here we know that individual characters c are often small, and this produces frequent collisions if we use ord c alone. A particular problem are the shorter low ASCII and ISO-8859-1 character strings. We pre-multiply by a magic twiddle factor to obtain a good distribution. In fact, given the following test:

testp :: Int32 -> Int
testp k = (n - ) . length . group . sort . map hs . take n $ ls
  where ls = [] : [c : l | l <- ls, c <- ['\0'..'\xff']]
        hs = foldl' f golden
        f m c = fromIntegral (ord c) * k + hashInt32 m
        n = 100000

We discover that testp magic = 0.

Call stacks

type HasCallStack = ?callStack :: CallStack

Request a CallStack.

NOTE: The implicit parameter ?callStack :: CallStack is an implementation detail and should not be considered part of the CallStack API, we may decide to change the implementation in the future.

Since: base-4.9.0.0

type HasDebugCallStack = (() :: Constraint)

A call stack constraint, but only when isDebugOn.

Utils for flags

data OverridingBool

Constructors

Auto

Always

Never

Instances

Show OverridingBool

Defined in Util

Methods

showsPrec :: Int -> OverridingBool -> ShowS

show :: OverridingBool -> String

showList :: [OverridingBool] -> ShowS

overrideWith :: Bool -> OverridingBool -> Bool