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m---------libraries/array0
-rw-r--r--libraries/base/Data/Foldable.hs2
-rw-r--r--libraries/base/Data/List.hs910
-rw-r--r--libraries/base/Data/OldList.hs1115
-rw-r--r--libraries/base/Data/OldTypeable/Internal.hs2
-rw-r--r--libraries/base/GHC/Event/Internal.hs3
-rwxr-xr-xlibraries/base/GHC/Exts.hs2
-rw-r--r--libraries/base/Prelude.hs2
-rw-r--r--libraries/base/base.cabal1
m---------libraries/haskell20100
m---------libraries/haskell980
-rw-r--r--testsuite/tests/ghci/scripts/ghci008.stdout4
-rw-r--r--testsuite/tests/lib/integer/integerGmpInternals.hs2
-rw-r--r--testsuite/tests/rename/should_compile/T1972.stderr1
-rw-r--r--testsuite/tests/rename/should_compile/T7963a.hs3
-rw-r--r--testsuite/tests/rename/should_fail/rnfail040.stderr1
16 files changed, 1132 insertions, 916 deletions
diff --git a/libraries/array b/libraries/array
-Subproject bfb488592cf5c92a6970eff64b9495970464014
+Subproject f7955522c45a6b7da352349381d93be7c38dff3
diff --git a/libraries/base/Data/Foldable.hs b/libraries/base/Data/Foldable.hs
index b839106c93..cb13e5ce7e 100644
--- a/libraries/base/Data/Foldable.hs
+++ b/libraries/base/Data/Foldable.hs
@@ -61,7 +61,7 @@ module Data.Foldable (
import Data.Bool
import Data.Either
import Data.Eq
-import qualified Data.List as List
+import qualified Data.OldList as List
import Data.Maybe
import Data.Monoid
import Data.Ord
diff --git a/libraries/base/Data/List.hs b/libraries/base/Data/List.hs
index 5e5acc17ee..44c86bb7d8 100644
--- a/libraries/base/Data/List.hs
+++ b/libraries/base/Data/List.hs
@@ -1,5 +1,5 @@
+{-# LANGUAGE NoImplicitPrelude #-}
{-# LANGUAGE Trustworthy #-}
-{-# LANGUAGE CPP, NoImplicitPrelude, ScopedTypeVariables, MagicHash #-}
-----------------------------------------------------------------------------
-- |
@@ -207,909 +207,5 @@ module Data.List
) where
-import Data.Maybe
-import Data.Char ( isSpace )
-import Data.Ord ( comparing )
-import Data.Tuple ( fst, snd )
-
-import GHC.Num
-import GHC.Real
-import GHC.List
-import GHC.Base
-
-infix 5 \\ -- comment to fool cpp: https://www.haskell.org/ghc/docs/latest/html/users_guide/options-phases.html#cpp-string-gaps
-
--- -----------------------------------------------------------------------------
--- List functions
-
--- | The 'dropWhileEnd' function drops the largest suffix of a list
--- in which the given predicate holds for all elements. For example:
---
--- > dropWhileEnd isSpace "foo\n" == "foo"
--- > dropWhileEnd isSpace "foo bar" == "foo bar"
--- > dropWhileEnd isSpace ("foo\n" ++ undefined) == "foo" ++ undefined
---
--- /Since: 4.5.0.0/
-dropWhileEnd :: (a -> Bool) -> [a] -> [a]
-dropWhileEnd p = foldr (\x xs -> if p x && null xs then [] else x : xs) []
-
--- | The 'stripPrefix' function drops the given prefix from a list.
--- It returns 'Nothing' if the list did not start with the prefix
--- given, or 'Just' the list after the prefix, if it does.
---
--- > stripPrefix "foo" "foobar" == Just "bar"
--- > stripPrefix "foo" "foo" == Just ""
--- > stripPrefix "foo" "barfoo" == Nothing
--- > stripPrefix "foo" "barfoobaz" == Nothing
-stripPrefix :: Eq a => [a] -> [a] -> Maybe [a]
-stripPrefix [] ys = Just ys
-stripPrefix (x:xs) (y:ys)
- | x == y = stripPrefix xs ys
-stripPrefix _ _ = Nothing
-
--- | The 'elemIndex' function returns the index of the first element
--- in the given list which is equal (by '==') to the query element,
--- or 'Nothing' if there is no such element.
-elemIndex :: Eq a => a -> [a] -> Maybe Int
-elemIndex x = findIndex (x==)
-
--- | The 'elemIndices' function extends 'elemIndex', by returning the
--- indices of all elements equal to the query element, in ascending order.
-elemIndices :: Eq a => a -> [a] -> [Int]
-elemIndices x = findIndices (x==)
-
--- | The 'find' function takes a predicate and a list and returns the
--- first element in the list matching the predicate, or 'Nothing' if
--- there is no such element.
-find :: (a -> Bool) -> [a] -> Maybe a
-find p = listToMaybe . filter p
-
--- | The 'findIndex' function takes a predicate and a list and returns
--- the index of the first element in the list satisfying the predicate,
--- or 'Nothing' if there is no such element.
-findIndex :: (a -> Bool) -> [a] -> Maybe Int
-findIndex p = listToMaybe . findIndices p
-
--- | The 'findIndices' function extends 'findIndex', by returning the
--- indices of all elements satisfying the predicate, in ascending order.
-findIndices :: (a -> Bool) -> [a] -> [Int]
-#ifdef USE_REPORT_PRELUDE
-findIndices p xs = [ i | (x,i) <- zip xs [0..], p x]
-#else
--- Efficient definition
-findIndices p ls = loop 0# ls
- where
- loop _ [] = []
- loop n (x:xs) | p x = I# n : loop (n +# 1#) xs
- | otherwise = loop (n +# 1#) xs
-#endif /* USE_REPORT_PRELUDE */
-
--- | The 'isPrefixOf' function takes two lists and returns 'True'
--- iff the first list is a prefix of the second.
-isPrefixOf :: (Eq a) => [a] -> [a] -> Bool
-isPrefixOf [] _ = True
-isPrefixOf _ [] = False
-isPrefixOf (x:xs) (y:ys)= x == y && isPrefixOf xs ys
-
--- | The 'isSuffixOf' function takes two lists and returns 'True'
--- iff the first list is a suffix of the second.
--- Both lists must be finite.
-isSuffixOf :: (Eq a) => [a] -> [a] -> Bool
-isSuffixOf x y = reverse x `isPrefixOf` reverse y
-
--- | The 'isInfixOf' function takes two lists and returns 'True'
--- iff the first list is contained, wholly and intact,
--- anywhere within the second.
---
--- Example:
---
--- >isInfixOf "Haskell" "I really like Haskell." == True
--- >isInfixOf "Ial" "I really like Haskell." == False
-isInfixOf :: (Eq a) => [a] -> [a] -> Bool
-isInfixOf needle haystack = any (isPrefixOf needle) (tails haystack)
-
--- | /O(n^2)/. The 'nub' function removes duplicate elements from a list.
--- In particular, it keeps only the first occurrence of each element.
--- (The name 'nub' means \`essence\'.)
--- It is a special case of 'nubBy', which allows the programmer to supply
--- their own equality test.
-nub :: (Eq a) => [a] -> [a]
-#ifdef USE_REPORT_PRELUDE
-nub = nubBy (==)
-#else
--- stolen from HBC
-nub l = nub' l [] -- '
- where
- nub' [] _ = [] -- '
- nub' (x:xs) ls -- '
- | x `elem` ls = nub' xs ls -- '
- | otherwise = x : nub' xs (x:ls) -- '
-#endif
-
--- | The 'nubBy' function behaves just like 'nub', except it uses a
--- user-supplied equality predicate instead of the overloaded '=='
--- function.
-nubBy :: (a -> a -> Bool) -> [a] -> [a]
-#ifdef USE_REPORT_PRELUDE
-nubBy eq [] = []
-nubBy eq (x:xs) = x : nubBy eq (filter (\ y -> not (eq x y)) xs)
-#else
-nubBy eq l = nubBy' l []
- where
- nubBy' [] _ = []
- nubBy' (y:ys) xs
- | elem_by eq y xs = nubBy' ys xs
- | otherwise = y : nubBy' ys (y:xs)
-
--- Not exported:
--- Note that we keep the call to `eq` with arguments in the
--- same order as in the reference implementation
--- 'xs' is the list of things we've seen so far,
--- 'y' is the potential new element
-elem_by :: (a -> a -> Bool) -> a -> [a] -> Bool
-elem_by _ _ [] = False
-elem_by eq y (x:xs) = y `eq` x || elem_by eq y xs
-#endif
-
-
--- | 'delete' @x@ removes the first occurrence of @x@ from its list argument.
--- For example,
---
--- > delete 'a' "banana" == "bnana"
---
--- It is a special case of 'deleteBy', which allows the programmer to
--- supply their own equality test.
-
-delete :: (Eq a) => a -> [a] -> [a]
-delete = deleteBy (==)
-
--- | The 'deleteBy' function behaves like 'delete', but takes a
--- user-supplied equality predicate.
-deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]
-deleteBy _ _ [] = []
-deleteBy eq x (y:ys) = if x `eq` y then ys else y : deleteBy eq x ys
-
--- | The '\\' function is list difference (non-associative).
--- In the result of @xs@ '\\' @ys@, the first occurrence of each element of
--- @ys@ in turn (if any) has been removed from @xs@. Thus
---
--- > (xs ++ ys) \\ xs == ys.
---
--- It is a special case of 'deleteFirstsBy', which allows the programmer
--- to supply their own equality test.
-
-(\\) :: (Eq a) => [a] -> [a] -> [a]
-(\\) = foldl (flip delete)
-
--- | The 'union' function returns the list union of the two lists.
--- For example,
---
--- > "dog" `union` "cow" == "dogcw"
---
--- Duplicates, and elements of the first list, are removed from the
--- the second list, but if the first list contains duplicates, so will
--- the result.
--- It is a special case of 'unionBy', which allows the programmer to supply
--- their own equality test.
-
-union :: (Eq a) => [a] -> [a] -> [a]
-union = unionBy (==)
-
--- | The 'unionBy' function is the non-overloaded version of 'union'.
-unionBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]
-unionBy eq xs ys = xs ++ foldl (flip (deleteBy eq)) (nubBy eq ys) xs
-
--- | The 'intersect' function takes the list intersection of two lists.
--- For example,
---
--- > [1,2,3,4] `intersect` [2,4,6,8] == [2,4]
---
--- If the first list contains duplicates, so will the result.
---
--- > [1,2,2,3,4] `intersect` [6,4,4,2] == [2,2,4]
---
--- It is a special case of 'intersectBy', which allows the programmer to
--- supply their own equality test. If the element is found in both the first
--- and the second list, the element from the first list will be used.
-
-intersect :: (Eq a) => [a] -> [a] -> [a]
-intersect = intersectBy (==)
-
--- | The 'intersectBy' function is the non-overloaded version of 'intersect'.
-intersectBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]
-intersectBy _ [] _ = []
-intersectBy _ _ [] = []
-intersectBy eq xs ys = [x | x <- xs, any (eq x) ys]
-
--- | The 'intersperse' function takes an element and a list and
--- \`intersperses\' that element between the elements of the list.
--- For example,
---
--- > intersperse ',' "abcde" == "a,b,c,d,e"
-
-intersperse :: a -> [a] -> [a]
-intersperse _ [] = []
-intersperse sep (x:xs) = x : prependToAll sep xs
-
-
--- Not exported:
--- We want to make every element in the 'intersperse'd list available
--- as soon as possible to avoid space leaks. Experiments suggested that
--- a separate top-level helper is more efficient than a local worker.
-prependToAll :: a -> [a] -> [a]
-prependToAll _ [] = []
-prependToAll sep (x:xs) = sep : x : prependToAll sep xs
-
--- | 'intercalate' @xs xss@ is equivalent to @('concat' ('intersperse' xs xss))@.
--- It inserts the list @xs@ in between the lists in @xss@ and concatenates the
--- result.
-intercalate :: [a] -> [[a]] -> [a]
-intercalate xs xss = concat (intersperse xs xss)
-
--- | The 'transpose' function transposes the rows and columns of its argument.
--- For example,
---
--- > transpose [[1,2,3],[4,5,6]] == [[1,4],[2,5],[3,6]]
-
-transpose :: [[a]] -> [[a]]
-transpose [] = []
-transpose ([] : xss) = transpose xss
-transpose ((x:xs) : xss) = (x : [h | (h:_) <- xss]) : transpose (xs : [ t | (_:t) <- xss])
-
-
--- | The 'partition' function takes a predicate a list and returns
--- the pair of lists of elements which do and do not satisfy the
--- predicate, respectively; i.e.,
---
--- > partition p xs == (filter p xs, filter (not . p) xs)
-
-partition :: (a -> Bool) -> [a] -> ([a],[a])
-{-# INLINE partition #-}
-partition p xs = foldr (select p) ([],[]) xs
-
-select :: (a -> Bool) -> a -> ([a], [a]) -> ([a], [a])
-select p x ~(ts,fs) | p x = (x:ts,fs)
- | otherwise = (ts, x:fs)
-
--- | The 'mapAccumL' function behaves like a combination of 'map' and
--- 'foldl'; it applies a function to each element of a list, passing
--- an accumulating parameter from left to right, and returning a final
--- value of this accumulator together with the new list.
-mapAccumL :: (acc -> x -> (acc, y)) -- Function of elt of input list
- -- and accumulator, returning new
- -- accumulator and elt of result list
- -> acc -- Initial accumulator
- -> [x] -- Input list
- -> (acc, [y]) -- Final accumulator and result list
-mapAccumL _ s [] = (s, [])
-mapAccumL f s (x:xs) = (s'',y:ys)
- where (s', y ) = f s x
- (s'',ys) = mapAccumL f s' xs
-
--- | The 'mapAccumR' function behaves like a combination of 'map' and
--- 'foldr'; it applies a function to each element of a list, passing
--- an accumulating parameter from right to left, and returning a final
--- value of this accumulator together with the new list.
-mapAccumR :: (acc -> x -> (acc, y)) -- Function of elt of input list
- -- and accumulator, returning new
- -- accumulator and elt of result list
- -> acc -- Initial accumulator
- -> [x] -- Input list
- -> (acc, [y]) -- Final accumulator and result list
-mapAccumR _ s [] = (s, [])
-mapAccumR f s (x:xs) = (s'', y:ys)
- where (s'',y ) = f s' x
- (s', ys) = mapAccumR f s xs
-
--- | The 'insert' function takes an element and a list and inserts the
--- element into the list at the first position where it is less
--- than or equal to the next element. In particular, if the list
--- is sorted before the call, the result will also be sorted.
--- It is a special case of 'insertBy', which allows the programmer to
--- supply their own comparison function.
-insert :: Ord a => a -> [a] -> [a]
-insert e ls = insertBy (compare) e ls
-
--- | The non-overloaded version of 'insert'.
-insertBy :: (a -> a -> Ordering) -> a -> [a] -> [a]
-insertBy _ x [] = [x]
-insertBy cmp x ys@(y:ys')
- = case cmp x y of
- GT -> y : insertBy cmp x ys'
- _ -> x : ys
-
--- | 'maximum' returns the maximum value from a list,
--- which must be non-empty, finite, and of an ordered type.
--- It is a special case of 'Data.List.maximumBy', which allows the
--- programmer to supply their own comparison function.
-maximum :: (Ord a) => [a] -> a
-{-# INLINE [1] maximum #-}
-maximum [] = errorEmptyList "maximum"
-maximum xs = foldl1 max xs
-
-{-# RULES
- "maximumInt" maximum = (strictMaximum :: [Int] -> Int);
- "maximumInteger" maximum = (strictMaximum :: [Integer] -> Integer)
- #-}
-
--- We can't make the overloaded version of maximum strict without
--- changing its semantics (max might not be strict), but we can for
--- the version specialised to 'Int'.
-strictMaximum :: (Ord a) => [a] -> a
-strictMaximum [] = errorEmptyList "maximum"
-strictMaximum xs = foldl1' max xs
-
--- | 'minimum' returns the minimum value from a list,
--- which must be non-empty, finite, and of an ordered type.
--- It is a special case of 'Data.List.minimumBy', which allows the
--- programmer to supply their own comparison function.
-minimum :: (Ord a) => [a] -> a
-{-# INLINE [1] minimum #-}
-minimum [] = errorEmptyList "minimum"
-minimum xs = foldl1 min xs
-
-{-# RULES
- "minimumInt" minimum = (strictMinimum :: [Int] -> Int);
- "minimumInteger" minimum = (strictMinimum :: [Integer] -> Integer)
- #-}
-
-strictMinimum :: (Ord a) => [a] -> a
-strictMinimum [] = errorEmptyList "minimum"
-strictMinimum xs = foldl1' min xs
-
--- | The 'maximumBy' function takes a comparison function and a list
--- and returns the greatest element of the list by the comparison function.
--- The list must be finite and non-empty.
-maximumBy :: (a -> a -> Ordering) -> [a] -> a
-maximumBy _ [] = error "List.maximumBy: empty list"
-maximumBy cmp xs = foldl1 maxBy xs
- where
- maxBy x y = case cmp x y of
- GT -> x
- _ -> y
-
--- | The 'minimumBy' function takes a comparison function and a list
--- and returns the least element of the list by the comparison function.
--- The list must be finite and non-empty.
-minimumBy :: (a -> a -> Ordering) -> [a] -> a
-minimumBy _ [] = error "List.minimumBy: empty list"
-minimumBy cmp xs = foldl1 minBy xs
- where
- minBy x y = case cmp x y of
- GT -> y
- _ -> x
-
--- | The 'genericLength' function is an overloaded version of 'length'. In
--- particular, instead of returning an 'Int', it returns any type which is
--- an instance of 'Num'. It is, however, less efficient than 'length'.
-genericLength :: (Num i) => [a] -> i
-{-# NOINLINE [1] genericLength #-}
-genericLength [] = 0
-genericLength (_:l) = 1 + genericLength l
-
-{-# RULES
- "genericLengthInt" genericLength = (strictGenericLength :: [a] -> Int);
- "genericLengthInteger" genericLength = (strictGenericLength :: [a] -> Integer);
- #-}
-
-strictGenericLength :: (Num i) => [b] -> i
-strictGenericLength l = gl l 0
- where
- gl [] a = a
- gl (_:xs) a = let a' = a + 1 in a' `seq` gl xs a'
-
--- | The 'genericTake' function is an overloaded version of 'take', which
--- accepts any 'Integral' value as the number of elements to take.
-genericTake :: (Integral i) => i -> [a] -> [a]
-genericTake n _ | n <= 0 = []
-genericTake _ [] = []
-genericTake n (x:xs) = x : genericTake (n-1) xs
-
--- | The 'genericDrop' function is an overloaded version of 'drop', which
--- accepts any 'Integral' value as the number of elements to drop.
-genericDrop :: (Integral i) => i -> [a] -> [a]
-genericDrop n xs | n <= 0 = xs
-genericDrop _ [] = []
-genericDrop n (_:xs) = genericDrop (n-1) xs
-
-
--- | The 'genericSplitAt' function is an overloaded version of 'splitAt', which
--- accepts any 'Integral' value as the position at which to split.
-genericSplitAt :: (Integral i) => i -> [a] -> ([a], [a])
-genericSplitAt n xs | n <= 0 = ([],xs)
-genericSplitAt _ [] = ([],[])
-genericSplitAt n (x:xs) = (x:xs',xs'') where
- (xs',xs'') = genericSplitAt (n-1) xs
-
--- | The 'genericIndex' function is an overloaded version of '!!', which
--- accepts any 'Integral' value as the index.
-genericIndex :: (Integral i) => [a] -> i -> a
-genericIndex (x:_) 0 = x
-genericIndex (_:xs) n
- | n > 0 = genericIndex xs (n-1)
- | otherwise = error "List.genericIndex: negative argument."
-genericIndex _ _ = error "List.genericIndex: index too large."
-
--- | The 'genericReplicate' function is an overloaded version of 'replicate',
--- which accepts any 'Integral' value as the number of repetitions to make.
-genericReplicate :: (Integral i) => i -> a -> [a]
-genericReplicate n x = genericTake n (repeat x)
-
--- | The 'zip4' function takes four lists and returns a list of
--- quadruples, analogous to 'zip'.
-zip4 :: [a] -> [b] -> [c] -> [d] -> [(a,b,c,d)]
-zip4 = zipWith4 (,,,)
-
--- | The 'zip5' function takes five lists and returns a list of
--- five-tuples, analogous to 'zip'.
-zip5 :: [a] -> [b] -> [c] -> [d] -> [e] -> [(a,b,c,d,e)]
-zip5 = zipWith5 (,,,,)
-
--- | The 'zip6' function takes six lists and returns a list of six-tuples,
--- analogous to 'zip'.
-zip6 :: [a] -> [b] -> [c] -> [d] -> [e] -> [f] ->
- [(a,b,c,d,e,f)]
-zip6 = zipWith6 (,,,,,)
-
--- | The 'zip7' function takes seven lists and returns a list of
--- seven-tuples, analogous to 'zip'.
-zip7 :: [a] -> [b] -> [c] -> [d] -> [e] -> [f] ->
- [g] -> [(a,b,c,d,e,f,g)]
-zip7 = zipWith7 (,,,,,,)
-
--- | The 'zipWith4' function takes a function which combines four
--- elements, as well as four lists and returns a list of their point-wise
--- combination, analogous to 'zipWith'.
-zipWith4 :: (a->b->c->d->e) -> [a]->[b]->[c]->[d]->[e]
-zipWith4 z (a:as) (b:bs) (c:cs) (d:ds)
- = z a b c d : zipWith4 z as bs cs ds
-zipWith4 _ _ _ _ _ = []
-
--- | The 'zipWith5' function takes a function which combines five
--- elements, as well as five lists and returns a list of their point-wise
--- combination, analogous to 'zipWith'.
-zipWith5 :: (a->b->c->d->e->f) ->
- [a]->[b]->[c]->[d]->[e]->[f]
-zipWith5 z (a:as) (b:bs) (c:cs) (d:ds) (e:es)
- = z a b c d e : zipWith5 z as bs cs ds es
-zipWith5 _ _ _ _ _ _ = []
-
--- | The 'zipWith6' function takes a function which combines six
--- elements, as well as six lists and returns a list of their point-wise
--- combination, analogous to 'zipWith'.
-zipWith6 :: (a->b->c->d->e->f->g) ->
- [a]->[b]->[c]->[d]->[e]->[f]->[g]
-zipWith6 z (a:as) (b:bs) (c:cs) (d:ds) (e:es) (f:fs)
- = z a b c d e f : zipWith6 z as bs cs ds es fs
-zipWith6 _ _ _ _ _ _ _ = []
-
--- | The 'zipWith7' function takes a function which combines seven
--- elements, as well as seven lists and returns a list of their point-wise
--- combination, analogous to 'zipWith'.
-zipWith7 :: (a->b->c->d->e->f->g->h) ->
- [a]->[b]->[c]->[d]->[e]->[f]->[g]->[h]
-zipWith7 z (a:as) (b:bs) (c:cs) (d:ds) (e:es) (f:fs) (g:gs)
- = z a b c d e f g : zipWith7 z as bs cs ds es fs gs
-zipWith7 _ _ _ _ _ _ _ _ = []
-
--- | The 'unzip4' function takes a list of quadruples and returns four
--- lists, analogous to 'unzip'.
-unzip4 :: [(a,b,c,d)] -> ([a],[b],[c],[d])
-unzip4 = foldr (\(a,b,c,d) ~(as,bs,cs,ds) ->
- (a:as,b:bs,c:cs,d:ds))
- ([],[],[],[])
-
--- | The 'unzip5' function takes a list of five-tuples and returns five
--- lists, analogous to 'unzip'.
-unzip5 :: [(a,b,c,d,e)] -> ([a],[b],[c],[d],[e])
-unzip5 = foldr (\(a,b,c,d,e) ~(as,bs,cs,ds,es) ->
- (a:as,b:bs,c:cs,d:ds,e:es))
- ([],[],[],[],[])
-
--- | The 'unzip6' function takes a list of six-tuples and returns six
--- lists, analogous to 'unzip'.
-unzip6 :: [(a,b,c,d,e,f)] -> ([a],[b],[c],[d],[e],[f])
-unzip6 = foldr (\(a,b,c,d,e,f) ~(as,bs,cs,ds,es,fs) ->
- (a:as,b:bs,c:cs,d:ds,e:es,f:fs))
- ([],[],[],[],[],[])
-
--- | The 'unzip7' function takes a list of seven-tuples and returns
--- seven lists, analogous to 'unzip'.
-unzip7 :: [(a,b,c,d,e,f,g)] -> ([a],[b],[c],[d],[e],[f],[g])
-unzip7 = foldr (\(a,b,c,d,e,f,g) ~(as,bs,cs,ds,es,fs,gs) ->
- (a:as,b:bs,c:cs,d:ds,e:es,f:fs,g:gs))
- ([],[],[],[],[],[],[])
-
-
--- | The 'deleteFirstsBy' function takes a predicate and two lists and
--- returns the first list with the first occurrence of each element of
--- the second list removed.
-deleteFirstsBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]
-deleteFirstsBy eq = foldl (flip (deleteBy eq))
-
--- | The 'group' function takes a list and returns a list of lists such
--- that the concatenation of the result is equal to the argument. Moreover,
--- each sublist in the result contains only equal elements. For example,
---
--- > group "Mississippi" = ["M","i","ss","i","ss","i","pp","i"]
---
--- It is a special case of 'groupBy', which allows the programmer to supply
--- their own equality test.
-group :: Eq a => [a] -> [[a]]
-group = groupBy (==)
-
--- | The 'groupBy' function is the non-overloaded version of 'group'.
-groupBy :: (a -> a -> Bool) -> [a] -> [[a]]
-groupBy _ [] = []
-groupBy eq (x:xs) = (x:ys) : groupBy eq zs
- where (ys,zs) = span (eq x) xs
-
--- | The 'inits' function returns all initial segments of the argument,
--- shortest first. For example,
---
--- > inits "abc" == ["","a","ab","abc"]
---
--- Note that 'inits' has the following strictness property:
--- @inits _|_ = [] : _|_@
-inits :: [a] -> [[a]]
-inits xs = [] : case xs of
- [] -> []
- x : xs' -> map (x :) (inits xs')
-
--- | The 'tails' function returns all final segments of the argument,
--- longest first. For example,
---
--- > tails "abc" == ["abc", "bc", "c",""]
---
--- Note that 'tails' has the following strictness property:
--- @tails _|_ = _|_ : _|_@
-tails :: [a] -> [[a]]
-tails xs = xs : case xs of
- [] -> []
- _ : xs' -> tails xs'
-
--- | The 'subsequences' function returns the list of all subsequences of the argument.
---
--- > subsequences "abc" == ["","a","b","ab","c","ac","bc","abc"]
-subsequences :: [a] -> [[a]]
-subsequences xs = [] : nonEmptySubsequences xs
-
--- | The 'nonEmptySubsequences' function returns the list of all subsequences of the argument,
--- except for the empty list.
---
--- > nonEmptySubsequences "abc" == ["a","b","ab","c","ac","bc","abc"]
-nonEmptySubsequences :: [a] -> [[a]]
-nonEmptySubsequences [] = []
-nonEmptySubsequences (x:xs) = [x] : foldr f [] (nonEmptySubsequences xs)
- where f ys r = ys : (x : ys) : r
-
-
--- | The 'permutations' function returns the list of all permutations of the argument.
---
--- > permutations "abc" == ["abc","bac","cba","bca","cab","acb"]
-permutations :: [a] -> [[a]]
-permutations xs0 = xs0 : perms xs0 []
- where
- perms [] _ = []
- perms (t:ts) is = foldr interleave (perms ts (t:is)) (permutations is)
- where interleave xs r = let (_,zs) = interleave' id xs r in zs
- interleave' _ [] r = (ts, r)
- interleave' f (y:ys) r = let (us,zs) = interleave' (f . (y:)) ys r
- in (y:us, f (t:y:us) : zs)
-
-
-------------------------------------------------------------------------------
--- Quick Sort algorithm taken from HBC's QSort library.
-
--- | The 'sort' function implements a stable sorting algorithm.
--- It is a special case of 'sortBy', which allows the programmer to supply
--- their own comparison function.
-sort :: (Ord a) => [a] -> [a]
-
--- | The 'sortBy' function is the non-overloaded version of 'sort'.
-sortBy :: (a -> a -> Ordering) -> [a] -> [a]
-
-#ifdef USE_REPORT_PRELUDE
-sort = sortBy compare
-sortBy cmp = foldr (insertBy cmp) []
-#else
-
-{-
-GHC's mergesort replaced by a better implementation, 24/12/2009.
-This code originally contributed to the nhc12 compiler by Thomas Nordin
-in 2002. Rumoured to have been based on code by Lennart Augustsson, e.g.
- http://www.mail-archive.com/haskell@haskell.org/msg01822.html
-and possibly to bear similarities to a 1982 paper by Richard O'Keefe:
-"A smooth applicative merge sort".
-
-Benchmarks show it to be often 2x the speed of the previous implementation.
-Fixes ticket http://ghc.haskell.org/trac/ghc/ticket/2143
--}
-
-sort = sortBy compare
-sortBy cmp = mergeAll . sequences
- where
- sequences (a:b:xs)
- | a `cmp` b == GT = descending b [a] xs
- | otherwise = ascending b (a:) xs
- sequences xs = [xs]
-
- descending a as (b:bs)
- | a `cmp` b == GT = descending b (a:as) bs
- descending a as bs = (a:as): sequences bs
-
- ascending a as (b:bs)
- | a `cmp` b /= GT = ascending b (\ys -> as (a:ys)) bs
- ascending a as bs = as [a]: sequences bs
-
- mergeAll [x] = x
- mergeAll xs = mergeAll (mergePairs xs)
-
- mergePairs (a:b:xs) = merge a b: mergePairs xs
- mergePairs xs = xs
-
- merge as@(a:as') bs@(b:bs')
- | a `cmp` b == GT = b:merge as bs'
- | otherwise = a:merge as' bs
- merge [] bs = bs
- merge as [] = as
-
-{-
-sortBy cmp l = mergesort cmp l
-sort l = mergesort compare l
-
-Quicksort replaced by mergesort, 14/5/2002.
-
-From: Ian Lynagh <igloo@earth.li>
-
-I am curious as to why the List.sort implementation in GHC is a
-quicksort algorithm rather than an algorithm that guarantees n log n
-time in the worst case? I have attached a mergesort implementation along
-with a few scripts to time it's performance, the results of which are
-shown below (* means it didn't finish successfully - in all cases this
-was due to a stack overflow).
-
-If I heap profile the random_list case with only 10000 then I see
-random_list peaks at using about 2.5M of memory, whereas in the same
-program using List.sort it uses only 100k.
-
-Input style Input length Sort data Sort alg User time
-stdin 10000 random_list sort 2.82
-stdin 10000 random_list mergesort 2.96
-stdin 10000 sorted sort 31.37
-stdin 10000 sorted mergesort 1.90
-stdin 10000 revsorted sort 31.21
-stdin 10000 revsorted mergesort 1.88
-stdin 100000 random_list sort *
-stdin 100000 random_list mergesort *
-stdin 100000 sorted sort *
-stdin 100000 sorted mergesort *
-stdin 100000 revsorted sort *
-stdin 100000 revsorted mergesort *
-func 10000 random_list sort 0.31
-func 10000 random_list mergesort 0.91
-func 10000 sorted sort 19.09
-func 10000 sorted mergesort 0.15
-func 10000 revsorted sort 19.17
-func 10000 revsorted mergesort 0.16
-func 100000 random_list sort 3.85
-func 100000 random_list mergesort *
-func 100000 sorted sort 5831.47
-func 100000 sorted mergesort 2.23
-func 100000 revsorted sort 5872.34
-func 100000 revsorted mergesort 2.24
-
-mergesort :: (a -> a -> Ordering) -> [a] -> [a]
-mergesort cmp = mergesort' cmp . map wrap
-
-mergesort' :: (a -> a -> Ordering) -> [[a]] -> [a]
-mergesort' _ [] = []
-mergesort' _ [xs] = xs
-mergesort' cmp xss = mergesort' cmp (merge_pairs cmp xss)
-
-merge_pairs :: (a -> a -> Ordering) -> [[a]] -> [[a]]
-merge_pairs _ [] = []
-merge_pairs _ [xs] = [xs]
-merge_pairs cmp (xs:ys:xss) = merge cmp xs ys : merge_pairs cmp xss
-
-merge :: (a -> a -> Ordering) -> [a] -> [a] -> [a]
-merge _ [] ys = ys
-merge _ xs [] = xs
-merge cmp (x:xs) (y:ys)
- = case x `cmp` y of
- GT -> y : merge cmp (x:xs) ys
- _ -> x : merge cmp xs (y:ys)
-
-wrap :: a -> [a]
-wrap x = [x]
-
-
-
-OLDER: qsort version
-
--- qsort is stable and does not concatenate.
-qsort :: (a -> a -> Ordering) -> [a] -> [a] -> [a]
-qsort _ [] r = r
-qsort _ [x] r = x:r
-qsort cmp (x:xs) r = qpart cmp x xs [] [] r
-
--- qpart partitions and sorts the sublists
-qpart :: (a -> a -> Ordering) -> a -> [a] -> [a] -> [a] -> [a] -> [a]
-qpart cmp x [] rlt rge r =
- -- rlt and rge are in reverse order and must be sorted with an
- -- anti-stable sorting
- rqsort cmp rlt (x:rqsort cmp rge r)
-qpart cmp x (y:ys) rlt rge r =
- case cmp x y of
- GT -> qpart cmp x ys (y:rlt) rge r
- _ -> qpart cmp x ys rlt (y:rge) r
-
--- rqsort is as qsort but anti-stable, i.e. reverses equal elements
-rqsort :: (a -> a -> Ordering) -> [a] -> [a] -> [a]
-rqsort _ [] r = r
-rqsort _ [x] r = x:r
-rqsort cmp (x:xs) r = rqpart cmp x xs [] [] r
-
-rqpart :: (a -> a -> Ordering) -> a -> [a] -> [a] -> [a] -> [a] -> [a]
-rqpart cmp x [] rle rgt r =
- qsort cmp rle (x:qsort cmp rgt r)
-rqpart cmp x (y:ys) rle rgt r =
- case cmp y x of
- GT -> rqpart cmp x ys rle (y:rgt) r
- _ -> rqpart cmp x ys (y:rle) rgt r
--}
-
-#endif /* USE_REPORT_PRELUDE */
-
--- | Sort a list by comparing the results of a key function applied to each
--- element. @sortOn f@ is equivalent to @sortBy . comparing f@, but has the
--- performance advantage of only evaluating @f@ once for each element in the
--- input list. This is called the decorate-sort-undecorate paradigm, or
--- Schwartzian transform.
---
--- /Since: 4.8.0.0/
-sortOn :: Ord b => (a -> b) -> [a] -> [a]
-sortOn f =
- map snd . sortBy (comparing fst) . map (\x -> let y = f x in y `seq` (y, x))
-
--- | The 'unfoldr' function is a \`dual\' to 'foldr': while 'foldr'
--- reduces a list to a summary value, 'unfoldr' builds a list from
--- a seed value. The function takes the element and returns 'Nothing'
--- if it is done producing the list or returns 'Just' @(a,b)@, in which
--- case, @a@ is a prepended to the list and @b@ is used as the next
--- element in a recursive call. For example,
---
--- > iterate f == unfoldr (\x -> Just (x, f x))
---
--- In some cases, 'unfoldr' can undo a 'foldr' operation:
---
--- > unfoldr f' (foldr f z xs) == xs
---
--- if the following holds:
---
--- > f' (f x y) = Just (x,y)
--- > f' z = Nothing
---
--- A simple use of unfoldr:
---
--- > unfoldr (\b -> if b == 0 then Nothing else Just (b, b-1)) 10
--- > [10,9,8,7,6,5,4,3,2,1]
---
-
--- Note [INLINE unfoldr]
--- We treat unfoldr a little differently from some other forms for list fusion
--- for two reasons:
---
--- 1. We don't want to use a rule to rewrite a basic form to a fusible
--- form because this would inline before constant floating. As Simon Peyton-
--- Jones and others have pointed out, this could reduce sharing in some cases
--- where sharing is beneficial. Thus we simply INLINE it, which is, for
--- example, how enumFromTo::Int becomes eftInt. Unfortunately, we don't seem
--- to get enough of an inlining discount to get a version of eftInt based on
--- unfoldr to inline as readily as the usual one. We know that all the Maybe
--- nonsense will go away, but the compiler does not.
---
--- 2. The benefit of inlining unfoldr is likely to be huge in many common cases,
--- even apart from list fusion. In particular, inlining unfoldr often
--- allows GHC to erase all the Maybes. This appears to be critical if unfoldr
--- is to be used in high-performance code. A small increase in code size
--- in the relatively rare cases when this does not happen looks like a very
--- small price to pay.
---
--- Doing a back-and-forth dance doesn't seem to accomplish anything if the
--- final form has to be inlined in any case.
-
-unfoldr :: (b -> Maybe (a, b)) -> b -> [a]
-
-{-# INLINE unfoldr #-} -- See Note [INLINE unfoldr]
-unfoldr f b0 = build (\c n ->
- let go b = case f b of
- Just (a, new_b) -> a `c` go new_b
- Nothing -> n
- in go b0)
-
--- -----------------------------------------------------------------------------
-
--- | A strict version of 'foldl'.
-foldl' :: forall a b . (b -> a -> b) -> b -> [a] -> b
-foldl' k z0 xs = foldr (\(v::a) (fn::b->b) (z::b) -> z `seq` fn (k z v)) (id :: b -> b) xs z0
--- Implementing foldl' via foldr is only a good idea if the compiler can optimize
--- the resulting code (eta-expand the recursive "go"), so this needs -fcall-arity!
--- Also see #7994
-
--- | 'foldl1' is a variant of 'foldl' that has no starting value argument,
--- and thus must be applied to non-empty lists.
-foldl1 :: (a -> a -> a) -> [a] -> a
-foldl1 f (x:xs) = foldl f x xs
-foldl1 _ [] = errorEmptyList "foldl1"
-
--- | A strict version of 'foldl1'
-foldl1' :: (a -> a -> a) -> [a] -> a
-foldl1' f (x:xs) = foldl' f x xs
-foldl1' _ [] = errorEmptyList "foldl1'"
-
--- -----------------------------------------------------------------------------
--- List sum and product
-
--- | The 'sum' function computes the sum of a finite list of numbers.
-sum :: (Num a) => [a] -> a
--- | The 'product' function computes the product of a finite list of numbers.
-product :: (Num a) => [a] -> a
-
-{-# INLINE sum #-}
-sum = foldl (+) 0
-{-# INLINE product #-}
-product = foldl (*) 1
-
--- -----------------------------------------------------------------------------
--- Functions on strings
-
--- | 'lines' breaks a string up into a list of strings at newline
--- characters. The resulting strings do not contain newlines.
-lines :: String -> [String]
-lines "" = []
--- Somehow GHC doesn't detect the selector thunks in the below code,
--- so s' keeps a reference to the first line via the pair and we have
--- a space leak (cf. #4334).
--- So we need to make GHC see the selector thunks with a trick.
-lines s = cons (case break (== '\n') s of
- (l, s') -> (l, case s' of
- [] -> []
- _:s'' -> lines s''))
- where
- cons ~(h, t) = h : t
-
--- | 'unlines' is an inverse operation to 'lines'.
--- It joins lines, after appending a terminating newline to each.
-unlines :: [String] -> String
-#ifdef USE_REPORT_PRELUDE
-unlines = concatMap (++ "\n")
-#else
--- HBC version (stolen)
--- here's a more efficient version
-unlines [] = []
-unlines (l:ls) = l ++ '\n' : unlines ls
-#endif
-
--- | 'words' breaks a string up into a list of words, which were delimited
--- by white space.
-words :: String -> [String]
-words s = case dropWhile {-partain:Char.-}isSpace s of
- "" -> []
- s' -> w : words s''
- where (w, s'') =
- break {-partain:Char.-}isSpace s'
-
--- | 'unwords' is an inverse operation to 'words'.
--- It joins words with separating spaces.
-unwords :: [String] -> String
-#ifdef USE_REPORT_PRELUDE
-unwords [] = ""
-unwords ws = foldr1 (\w s -> w ++ ' ':s) ws
-#else
--- HBC version (stolen)
--- here's a more efficient version
-unwords [] = ""
-unwords [w] = w
-unwords (w:ws) = w ++ ' ' : unwords ws
-#endif
+import Data.Foldable ()
+import Data.OldList
diff --git a/libraries/base/Data/OldList.hs b/libraries/base/Data/OldList.hs
new file mode 100644
index 0000000000..fe0f38e284
--- /dev/null
+++ b/libraries/base/Data/OldList.hs
@@ -0,0 +1,1115 @@
+{-# LANGUAGE Trustworthy #-}
+{-# LANGUAGE CPP, NoImplicitPrelude, ScopedTypeVariables, MagicHash #-}
+
+-----------------------------------------------------------------------------
+-- |
+-- Module : Data.List
+-- Copyright : (c) The University of Glasgow 2001
+-- License : BSD-style (see the file libraries/base/LICENSE)
+--
+-- Maintainer : libraries@haskell.org
+-- Stability : stable
+-- Portability : portable
+--
+-- Operations on lists.
+--
+-----------------------------------------------------------------------------
+
+module Data.OldList
+ (
+ -- * Basic functions
+
+ (++)
+ , head
+ , last
+ , tail
+ , init
+ , uncons
+ , null
+ , length
+
+ -- * List transformations
+ , map
+ , reverse
+
+ , intersperse
+ , intercalate
+ , transpose
+
+ , subsequences
+ , permutations
+
+ -- * Reducing lists (folds)
+
+ , foldl
+ , foldl'
+ , foldl1
+ , foldl1'
+ , foldr
+ , foldr1
+
+ -- ** Special folds
+
+ , concat
+ , concatMap
+ , and
+ , or
+ , any
+ , all
+ , sum
+ , product
+ , maximum
+ , minimum
+
+ -- * Building lists
+
+ -- ** Scans
+ , scanl
+ , scanl1
+ , scanr
+ , scanr1
+
+ -- ** Accumulating maps
+ , mapAccumL
+ , mapAccumR
+
+ -- ** Infinite lists
+ , iterate
+ , repeat
+ , replicate
+ , cycle
+
+ -- ** Unfolding
+ , unfoldr
+
+ -- * Sublists
+
+ -- ** Extracting sublists
+ , take
+ , drop
+ , splitAt
+
+ , takeWhile
+ , dropWhile
+ , dropWhileEnd
+ , span
+ , break
+
+ , stripPrefix
+
+ , group
+
+ , inits
+ , tails
+
+ -- ** Predicates
+ , isPrefixOf
+ , isSuffixOf
+ , isInfixOf
+
+ -- * Searching lists
+
+ -- ** Searching by equality
+ , elem
+ , notElem
+ , lookup
+
+ -- ** Searching with a predicate
+ , find
+ , filter
+ , partition
+
+ -- * Indexing lists
+ -- | These functions treat a list @xs@ as a indexed collection,
+ -- with indices ranging from 0 to @'length' xs - 1@.
+
+ , (!!)
+
+ , elemIndex
+ , elemIndices
+
+ , findIndex
+ , findIndices
+
+ -- * Zipping and unzipping lists
+
+ , zip
+ , zip3
+ , zip4, zip5, zip6, zip7
+
+ , zipWith
+ , zipWith3
+ , zipWith4, zipWith5, zipWith6, zipWith7
+
+ , unzip
+ , unzip3
+ , unzip4, unzip5, unzip6, unzip7
+
+ -- * Special lists
+
+ -- ** Functions on strings
+ , lines
+ , words
+ , unlines
+ , unwords
+
+ -- ** \"Set\" operations
+
+ , nub
+
+ , delete
+ , (\\)
+
+ , union
+ , intersect
+
+ -- ** Ordered lists
+ , sort
+ , sortOn
+ , insert
+
+ -- * Generalized functions
+
+ -- ** The \"@By@\" operations
+ -- | By convention, overloaded functions have a non-overloaded
+ -- counterpart whose name is suffixed with \`@By@\'.
+ --
+ -- It is often convenient to use these functions together with
+ -- 'Data.Function.on', for instance @'sortBy' ('compare'
+ -- \`on\` 'fst')@.
+
+ -- *** User-supplied equality (replacing an @Eq@ context)
+ -- | The predicate is assumed to define an equivalence.
+ , nubBy
+ , deleteBy
+ , deleteFirstsBy
+ , unionBy
+ , intersectBy
+ , groupBy
+
+ -- *** User-supplied comparison (replacing an @Ord@ context)
+ -- | The function is assumed to define a total ordering.
+ , sortBy
+ , insertBy
+ , maximumBy
+ , minimumBy
+
+ -- ** The \"@generic@\" operations
+ -- | The prefix \`@generic@\' indicates an overloaded function that
+ -- is a generalized version of a "Prelude" function.
+
+ , genericLength
+ , genericTake
+ , genericDrop
+ , genericSplitAt
+ , genericIndex
+ , genericReplicate
+
+ ) where
+
+import Data.Maybe
+import Data.Char ( isSpace )
+import Data.Ord ( comparing )
+import Data.Tuple ( fst, snd )
+
+import GHC.Num
+import GHC.Real
+import GHC.List
+import GHC.Base
+
+infix 5 \\ -- comment to fool cpp: https://www.haskell.org/ghc/docs/latest/html/users_guide/options-phases.html#cpp-string-gaps
+
+-- -----------------------------------------------------------------------------
+-- List functions
+
+-- | The 'dropWhileEnd' function drops the largest suffix of a list
+-- in which the given predicate holds for all elements. For example:
+--
+-- > dropWhileEnd isSpace "foo\n" == "foo"
+-- > dropWhileEnd isSpace "foo bar" == "foo bar"
+-- > dropWhileEnd isSpace ("foo\n" ++ undefined) == "foo" ++ undefined
+--
+-- /Since: 4.5.0.0/
+dropWhileEnd :: (a -> Bool) -> [a] -> [a]
+dropWhileEnd p = foldr (\x xs -> if p x && null xs then [] else x : xs) []
+
+-- | The 'stripPrefix' function drops the given prefix from a list.
+-- It returns 'Nothing' if the list did not start with the prefix
+-- given, or 'Just' the list after the prefix, if it does.
+--
+-- > stripPrefix "foo" "foobar" == Just "bar"
+-- > stripPrefix "foo" "foo" == Just ""
+-- > stripPrefix "foo" "barfoo" == Nothing
+-- > stripPrefix "foo" "barfoobaz" == Nothing
+stripPrefix :: Eq a => [a] -> [a] -> Maybe [a]
+stripPrefix [] ys = Just ys
+stripPrefix (x:xs) (y:ys)
+ | x == y = stripPrefix xs ys
+stripPrefix _ _ = Nothing
+
+-- | The 'elemIndex' function returns the index of the first element
+-- in the given list which is equal (by '==') to the query element,
+-- or 'Nothing' if there is no such element.
+elemIndex :: Eq a => a -> [a] -> Maybe Int
+elemIndex x = findIndex (x==)
+
+-- | The 'elemIndices' function extends 'elemIndex', by returning the
+-- indices of all elements equal to the query element, in ascending order.
+elemIndices :: Eq a => a -> [a] -> [Int]
+elemIndices x = findIndices (x==)
+
+-- | The 'find' function takes a predicate and a list and returns the
+-- first element in the list matching the predicate, or 'Nothing' if
+-- there is no such element.
+find :: (a -> Bool) -> [a] -> Maybe a
+find p = listToMaybe . filter p
+
+-- | The 'findIndex' function takes a predicate and a list and returns
+-- the index of the first element in the list satisfying the predicate,
+-- or 'Nothing' if there is no such element.
+findIndex :: (a -> Bool) -> [a] -> Maybe Int
+findIndex p = listToMaybe . findIndices p
+
+-- | The 'findIndices' function extends 'findIndex', by returning the
+-- indices of all elements satisfying the predicate, in ascending order.
+findIndices :: (a -> Bool) -> [a] -> [Int]
+#ifdef USE_REPORT_PRELUDE
+findIndices p xs = [ i | (x,i) <- zip xs [0..], p x]
+#else
+-- Efficient definition
+findIndices p ls = loop 0# ls
+ where
+ loop _ [] = []
+ loop n (x:xs) | p x = I# n : loop (n +# 1#) xs
+ | otherwise = loop (n +# 1#) xs
+#endif /* USE_REPORT_PRELUDE */
+
+-- | The 'isPrefixOf' function takes two lists and returns 'True'
+-- iff the first list is a prefix of the second.
+isPrefixOf :: (Eq a) => [a] -> [a] -> Bool
+isPrefixOf [] _ = True
+isPrefixOf _ [] = False
+isPrefixOf (x:xs) (y:ys)= x == y && isPrefixOf xs ys
+
+-- | The 'isSuffixOf' function takes two lists and returns 'True'
+-- iff the first list is a suffix of the second.
+-- Both lists must be finite.
+isSuffixOf :: (Eq a) => [a] -> [a] -> Bool
+isSuffixOf x y = reverse x `isPrefixOf` reverse y
+
+-- | The 'isInfixOf' function takes two lists and returns 'True'
+-- iff the first list is contained, wholly and intact,
+-- anywhere within the second.
+--
+-- Example:
+--
+-- >isInfixOf "Haskell" "I really like Haskell." == True
+-- >isInfixOf "Ial" "I really like Haskell." == False
+isInfixOf :: (Eq a) => [a] -> [a] -> Bool
+isInfixOf needle haystack = any (isPrefixOf needle) (tails haystack)
+
+-- | /O(n^2)/. The 'nub' function removes duplicate elements from a list.
+-- In particular, it keeps only the first occurrence of each element.
+-- (The name 'nub' means \`essence\'.)
+-- It is a special case of 'nubBy', which allows the programmer to supply
+-- their own equality test.
+nub :: (Eq a) => [a] -> [a]
+#ifdef USE_REPORT_PRELUDE
+nub = nubBy (==)
+#else
+-- stolen from HBC
+nub l = nub' l [] -- '
+ where
+ nub' [] _ = [] -- '
+ nub' (x:xs) ls -- '
+ | x `elem` ls = nub' xs ls -- '
+ | otherwise = x : nub' xs (x:ls) -- '
+#endif
+
+-- | The 'nubBy' function behaves just like 'nub', except it uses a
+-- user-supplied equality predicate instead of the overloaded '=='
+-- function.
+nubBy :: (a -> a -> Bool) -> [a] -> [a]
+#ifdef USE_REPORT_PRELUDE
+nubBy eq [] = []
+nubBy eq (x:xs) = x : nubBy eq (filter (\ y -> not (eq x y)) xs)
+#else
+nubBy eq l = nubBy' l []
+ where
+ nubBy' [] _ = []
+ nubBy' (y:ys) xs
+ | elem_by eq y xs = nubBy' ys xs
+ | otherwise = y : nubBy' ys (y:xs)
+
+-- Not exported:
+-- Note that we keep the call to `eq` with arguments in the
+-- same order as in the reference implementation
+-- 'xs' is the list of things we've seen so far,
+-- 'y' is the potential new element
+elem_by :: (a -> a -> Bool) -> a -> [a] -> Bool
+elem_by _ _ [] = False
+elem_by eq y (x:xs) = y `eq` x || elem_by eq y xs
+#endif
+
+
+-- | 'delete' @x@ removes the first occurrence of @x@ from its list argument.
+-- For example,
+--
+-- > delete 'a' "banana" == "bnana"
+--
+-- It is a special case of 'deleteBy', which allows the programmer to
+-- supply their own equality test.
+
+delete :: (Eq a) => a -> [a] -> [a]
+delete = deleteBy (==)
+
+-- | The 'deleteBy' function behaves like 'delete', but takes a
+-- user-supplied equality predicate.
+deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]
+deleteBy _ _ [] = []
+deleteBy eq x (y:ys) = if x `eq` y then ys else y : deleteBy eq x ys
+
+-- | The '\\' function is list difference (non-associative).
+-- In the result of @xs@ '\\' @ys@, the first occurrence of each element of
+-- @ys@ in turn (if any) has been removed from @xs@. Thus
+--
+-- > (xs ++ ys) \\ xs == ys.
+--
+-- It is a special case of 'deleteFirstsBy', which allows the programmer
+-- to supply their own equality test.
+
+(\\) :: (Eq a) => [a] -> [a] -> [a]
+(\\) = foldl (flip delete)
+
+-- | The 'union' function returns the list union of the two lists.
+-- For example,
+--
+-- > "dog" `union` "cow" == "dogcw"
+--
+-- Duplicates, and elements of the first list, are removed from the
+-- the second list, but if the first list contains duplicates, so will
+-- the result.
+-- It is a special case of 'unionBy', which allows the programmer to supply
+-- their own equality test.
+
+union :: (Eq a) => [a] -> [a] -> [a]
+union = unionBy (==)
+
+-- | The 'unionBy' function is the non-overloaded version of 'union'.
+unionBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]
+unionBy eq xs ys = xs ++ foldl (flip (deleteBy eq)) (nubBy eq ys) xs
+
+-- | The 'intersect' function takes the list intersection of two lists.
+-- For example,
+--
+-- > [1,2,3,4] `intersect` [2,4,6,8] == [2,4]
+--
+-- If the first list contains duplicates, so will the result.
+--
+-- > [1,2,2,3,4] `intersect` [6,4,4,2] == [2,2,4]
+--
+-- It is a special case of 'intersectBy', which allows the programmer to
+-- supply their own equality test. If the element is found in both the first
+-- and the second list, the element from the first list will be used.
+
+intersect :: (Eq a) => [a] -> [a] -> [a]
+intersect = intersectBy (==)
+
+-- | The 'intersectBy' function is the non-overloaded version of 'intersect'.
+intersectBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]
+intersectBy _ [] _ = []
+intersectBy _ _ [] = []
+intersectBy eq xs ys = [x | x <- xs, any (eq x) ys]
+
+-- | The 'intersperse' function takes an element and a list and
+-- \`intersperses\' that element between the elements of the list.
+-- For example,
+--
+-- > intersperse ',' "abcde" == "a,b,c,d,e"
+
+intersperse :: a -> [a] -> [a]
+intersperse _ [] = []
+intersperse sep (x:xs) = x : prependToAll sep xs
+
+
+-- Not exported:
+-- We want to make every element in the 'intersperse'd list available
+-- as soon as possible to avoid space leaks. Experiments suggested that
+-- a separate top-level helper is more efficient than a local worker.
+prependToAll :: a -> [a] -> [a]
+prependToAll _ [] = []
+prependToAll sep (x:xs) = sep : x : prependToAll sep xs
+
+-- | 'intercalate' @xs xss@ is equivalent to @('concat' ('intersperse' xs xss))@.
+-- It inserts the list @xs@ in between the lists in @xss@ and concatenates the
+-- result.
+intercalate :: [a] -> [[a]] -> [a]
+intercalate xs xss = concat (intersperse xs xss)
+
+-- | The 'transpose' function transposes the rows and columns of its argument.
+-- For example,
+--
+-- > transpose [[1,2,3],[4,5,6]] == [[1,4],[2,5],[3,6]]
+
+transpose :: [[a]] -> [[a]]
+transpose [] = []
+transpose ([] : xss) = transpose xss
+transpose ((x:xs) : xss) = (x : [h | (h:_) <- xss]) : transpose (xs : [ t | (_:t) <- xss])
+
+
+-- | The 'partition' function takes a predicate a list and returns
+-- the pair of lists of elements which do and do not satisfy the
+-- predicate, respectively; i.e.,
+--
+-- > partition p xs == (filter p xs, filter (not . p) xs)
+
+partition :: (a -> Bool) -> [a] -> ([a],[a])
+{-# INLINE partition #-}
+partition p xs = foldr (select p) ([],[]) xs
+
+select :: (a -> Bool) -> a -> ([a], [a]) -> ([a], [a])
+select p x ~(ts,fs) | p x = (x:ts,fs)
+ | otherwise = (ts, x:fs)
+
+-- | The 'mapAccumL' function behaves like a combination of 'map' and
+-- 'foldl'; it applies a function to each element of a list, passing
+-- an accumulating parameter from left to right, and returning a final
+-- value of this accumulator together with the new list.
+mapAccumL :: (acc -> x -> (acc, y)) -- Function of elt of input list
+ -- and accumulator, returning new
+ -- accumulator and elt of result list
+ -> acc -- Initial accumulator
+ -> [x] -- Input list
+ -> (acc, [y]) -- Final accumulator and result list
+mapAccumL _ s [] = (s, [])
+mapAccumL f s (x:xs) = (s'',y:ys)
+ where (s', y ) = f s x
+ (s'',ys) = mapAccumL f s' xs
+
+-- | The 'mapAccumR' function behaves like a combination of 'map' and
+-- 'foldr'; it applies a function to each element of a list, passing
+-- an accumulating parameter from right to left, and returning a final
+-- value of this accumulator together with the new list.
+mapAccumR :: (acc -> x -> (acc, y)) -- Function of elt of input list
+ -- and accumulator, returning new
+ -- accumulator and elt of result list
+ -> acc -- Initial accumulator
+ -> [x] -- Input list
+ -> (acc, [y]) -- Final accumulator and result list
+mapAccumR _ s [] = (s, [])
+mapAccumR f s (x:xs) = (s'', y:ys)
+ where (s'',y ) = f s' x
+ (s', ys) = mapAccumR f s xs
+
+-- | The 'insert' function takes an element and a list and inserts the
+-- element into the list at the first position where it is less
+-- than or equal to the next element. In particular, if the list
+-- is sorted before the call, the result will also be sorted.
+-- It is a special case of 'insertBy', which allows the programmer to
+-- supply their own comparison function.
+insert :: Ord a => a -> [a] -> [a]
+insert e ls = insertBy (compare) e ls
+
+-- | The non-overloaded version of 'insert'.
+insertBy :: (a -> a -> Ordering) -> a -> [a] -> [a]
+insertBy _ x [] = [x]
+insertBy cmp x ys@(y:ys')
+ = case cmp x y of
+ GT -> y : insertBy cmp x ys'
+ _ -> x : ys
+
+-- | 'maximum' returns the maximum value from a list,
+-- which must be non-empty, finite, and of an ordered type.
+-- It is a special case of 'Data.List.maximumBy', which allows the
+-- programmer to supply their own comparison function.
+maximum :: (Ord a) => [a] -> a
+{-# INLINE [1] maximum #-}
+maximum [] = errorEmptyList "maximum"
+maximum xs = foldl1 max xs
+
+{-# RULES
+ "maximumInt" maximum = (strictMaximum :: [Int] -> Int);
+ "maximumInteger" maximum = (strictMaximum :: [Integer] -> Integer)
+ #-}
+
+-- We can't make the overloaded version of maximum strict without
+-- changing its semantics (max might not be strict), but we can for
+-- the version specialised to 'Int'.
+strictMaximum :: (Ord a) => [a] -> a
+strictMaximum [] = errorEmptyList "maximum"
+strictMaximum xs = foldl1' max xs
+
+-- | 'minimum' returns the minimum value from a list,
+-- which must be non-empty, finite, and of an ordered type.
+-- It is a special case of 'Data.List.minimumBy', which allows the
+-- programmer to supply their own comparison function.
+minimum :: (Ord a) => [a] -> a
+{-# INLINE [1] minimum #-}
+minimum [] = errorEmptyList "minimum"
+minimum xs = foldl1 min xs
+
+{-# RULES
+ "minimumInt" minimum = (strictMinimum :: [Int] -> Int);
+ "minimumInteger" minimum = (strictMinimum :: [Integer] -> Integer)
+ #-}
+
+strictMinimum :: (Ord a) => [a] -> a
+strictMinimum [] = errorEmptyList "minimum"
+strictMinimum xs = foldl1' min xs
+
+-- | The 'maximumBy' function takes a comparison function and a list
+-- and returns the greatest element of the list by the comparison function.
+-- The list must be finite and non-empty.
+maximumBy :: (a -> a -> Ordering) -> [a] -> a
+maximumBy _ [] = error "List.maximumBy: empty list"
+maximumBy cmp xs = foldl1 maxBy xs
+ where
+ maxBy x y = case cmp x y of
+ GT -> x
+ _ -> y
+
+-- | The 'minimumBy' function takes a comparison function and a list
+-- and returns the least element of the list by the comparison function.
+-- The list must be finite and non-empty.
+minimumBy :: (a -> a -> Ordering) -> [a] -> a
+minimumBy _ [] = error "List.minimumBy: empty list"
+minimumBy cmp xs = foldl1 minBy xs
+ where
+ minBy x y = case cmp x y of
+ GT -> y
+ _ -> x
+
+-- | The 'genericLength' function is an overloaded version of 'length'. In
+-- particular, instead of returning an 'Int', it returns any type which is
+-- an instance of 'Num'. It is, however, less efficient than 'length'.
+genericLength :: (Num i) => [a] -> i
+{-# NOINLINE [1] genericLength #-}
+genericLength [] = 0
+genericLength (_:l) = 1 + genericLength l
+
+{-# RULES
+ "genericLengthInt" genericLength = (strictGenericLength :: [a] -> Int);
+ "genericLengthInteger" genericLength = (strictGenericLength :: [a] -> Integer);
+ #-}
+
+strictGenericLength :: (Num i) => [b] -> i
+strictGenericLength l = gl l 0
+ where
+ gl [] a = a
+ gl (_:xs) a = let a' = a + 1 in a' `seq` gl xs a'
+
+-- | The 'genericTake' function is an overloaded version of 'take', which
+-- accepts any 'Integral' value as the number of elements to take.
+genericTake :: (Integral i) => i -> [a] -> [a]
+genericTake n _ | n <= 0 = []
+genericTake _ [] = []
+genericTake n (x:xs) = x : genericTake (n-1) xs
+
+-- | The 'genericDrop' function is an overloaded version of 'drop', which
+-- accepts any 'Integral' value as the number of elements to drop.
+genericDrop :: (Integral i) => i -> [a] -> [a]
+genericDrop n xs | n <= 0 = xs
+genericDrop _ [] = []
+genericDrop n (_:xs) = genericDrop (n-1) xs
+
+
+-- | The 'genericSplitAt' function is an overloaded version of 'splitAt', which
+-- accepts any 'Integral' value as the position at which to split.
+genericSplitAt :: (Integral i) => i -> [a] -> ([a], [a])
+genericSplitAt n xs | n <= 0 = ([],xs)
+genericSplitAt _ [] = ([],[])
+genericSplitAt n (x:xs) = (x:xs',xs'') where
+ (xs',xs'') = genericSplitAt (n-1) xs
+
+-- | The 'genericIndex' function is an overloaded version of '!!', which
+-- accepts any 'Integral' value as the index.
+genericIndex :: (Integral i) => [a] -> i -> a
+genericIndex (x:_) 0 = x
+genericIndex (_:xs) n
+ | n > 0 = genericIndex xs (n-1)
+ | otherwise = error "List.genericIndex: negative argument."
+genericIndex _ _ = error "List.genericIndex: index too large."
+
+-- | The 'genericReplicate' function is an overloaded version of 'replicate',
+-- which accepts any 'Integral' value as the number of repetitions to make.
+genericReplicate :: (Integral i) => i -> a -> [a]
+genericReplicate n x = genericTake n (repeat x)
+
+-- | The 'zip4' function takes four lists and returns a list of
+-- quadruples, analogous to 'zip'.
+zip4 :: [a] -> [b] -> [c] -> [d] -> [(a,b,c,d)]
+zip4 = zipWith4 (,,,)
+
+-- | The 'zip5' function takes five lists and returns a list of
+-- five-tuples, analogous to 'zip'.
+zip5 :: [a] -> [b] -> [c] -> [d] -> [e] -> [(a,b,c,d,e)]
+zip5 = zipWith5 (,,,,)
+
+-- | The 'zip6' function takes six lists and returns a list of six-tuples,
+-- analogous to 'zip'.
+zip6 :: [a] -> [b] -> [c] -> [d] -> [e] -> [f] ->
+ [(a,b,c,d,e,f)]
+zip6 = zipWith6 (,,,,,)
+
+-- | The 'zip7' function takes seven lists and returns a list of
+-- seven-tuples, analogous to 'zip'.
+zip7 :: [a] -> [b] -> [c] -> [d] -> [e] -> [f] ->
+ [g] -> [(a,b,c,d,e,f,g)]
+zip7 = zipWith7 (,,,,,,)
+
+-- | The 'zipWith4' function takes a function which combines four
+-- elements, as well as four lists and returns a list of their point-wise
+-- combination, analogous to 'zipWith'.
+zipWith4 :: (a->b->c->d->e) -> [a]->[b]->[c]->[d]->[e]
+zipWith4 z (a:as) (b:bs) (c:cs) (d:ds)
+ = z a b c d : zipWith4 z as bs cs ds
+zipWith4 _ _ _ _ _ = []
+
+-- | The 'zipWith5' function takes a function which combines five
+-- elements, as well as five lists and returns a list of their point-wise
+-- combination, analogous to 'zipWith'.
+zipWith5 :: (a->b->c->d->e->f) ->
+ [a]->[b]->[c]->[d]->[e]->[f]
+zipWith5 z (a:as) (b:bs) (c:cs) (d:ds) (e:es)
+ = z a b c d e : zipWith5 z as bs cs ds es
+zipWith5 _ _ _ _ _ _ = []
+
+-- | The 'zipWith6' function takes a function which combines six
+-- elements, as well as six lists and returns a list of their point-wise
+-- combination, analogous to 'zipWith'.
+zipWith6 :: (a->b->c->d->e->f->g) ->
+ [a]->[b]->[c]->[d]->[e]->[f]->[g]
+zipWith6 z (a:as) (b:bs) (c:cs) (d:ds) (e:es) (f:fs)
+ = z a b c d e f : zipWith6 z as bs cs ds es fs
+zipWith6 _ _ _ _ _ _ _ = []
+
+-- | The 'zipWith7' function takes a function which combines seven
+-- elements, as well as seven lists and returns a list of their point-wise
+-- combination, analogous to 'zipWith'.
+zipWith7 :: (a->b->c->d->e->f->g->h) ->
+ [a]->[b]->[c]->[d]->[e]->[f]->[g]->[h]
+zipWith7 z (a:as) (b:bs) (c:cs) (d:ds) (e:es) (f:fs) (g:gs)
+ = z a b c d e f g : zipWith7 z as bs cs ds es fs gs
+zipWith7 _ _ _ _ _ _ _ _ = []
+
+-- | The 'unzip4' function takes a list of quadruples and returns four
+-- lists, analogous to 'unzip'.
+unzip4 :: [(a,b,c,d)] -> ([a],[b],[c],[d])
+unzip4 = foldr (\(a,b,c,d) ~(as,bs,cs,ds) ->
+ (a:as,b:bs,c:cs,d:ds))
+ ([],[],[],[])
+
+-- | The 'unzip5' function takes a list of five-tuples and returns five
+-- lists, analogous to 'unzip'.
+unzip5 :: [(a,b,c,d,e)] -> ([a],[b],[c],[d],[e])
+unzip5 = foldr (\(a,b,c,d,e) ~(as,bs,cs,ds,es) ->
+ (a:as,b:bs,c:cs,d:ds,e:es))
+ ([],[],[],[],[])
+
+-- | The 'unzip6' function takes a list of six-tuples and returns six
+-- lists, analogous to 'unzip'.
+unzip6 :: [(a,b,c,d,e,f)] -> ([a],[b],[c],[d],[e],[f])
+unzip6 = foldr (\(a,b,c,d,e,f) ~(as,bs,cs,ds,es,fs) ->
+ (a:as,b:bs,c:cs,d:ds,e:es,f:fs))
+ ([],[],[],[],[],[])
+
+-- | The 'unzip7' function takes a list of seven-tuples and returns
+-- seven lists, analogous to 'unzip'.
+unzip7 :: [(a,b,c,d,e,f,g)] -> ([a],[b],[c],[d],[e],[f],[g])
+unzip7 = foldr (\(a,b,c,d,e,f,g) ~(as,bs,cs,ds,es,fs,gs) ->
+ (a:as,b:bs,c:cs,d:ds,e:es,f:fs,g:gs))
+ ([],[],[],[],[],[],[])
+
+
+-- | The 'deleteFirstsBy' function takes a predicate and two lists and
+-- returns the first list with the first occurrence of each element of
+-- the second list removed.
+deleteFirstsBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]
+deleteFirstsBy eq = foldl (flip (deleteBy eq))
+
+-- | The 'group' function takes a list and returns a list of lists such
+-- that the concatenation of the result is equal to the argument. Moreover,
+-- each sublist in the result contains only equal elements. For example,
+--
+-- > group "Mississippi" = ["M","i","ss","i","ss","i","pp","i"]
+--
+-- It is a special case of 'groupBy', which allows the programmer to supply
+-- their own equality test.
+group :: Eq a => [a] -> [[a]]
+group = groupBy (==)
+
+-- | The 'groupBy' function is the non-overloaded version of 'group'.
+groupBy :: (a -> a -> Bool) -> [a] -> [[a]]
+groupBy _ [] = []
+groupBy eq (x:xs) = (x:ys) : groupBy eq zs
+ where (ys,zs) = span (eq x) xs
+
+-- | The 'inits' function returns all initial segments of the argument,
+-- shortest first. For example,
+--
+-- > inits "abc" == ["","a","ab","abc"]
+--
+-- Note that 'inits' has the following strictness property:
+-- @inits _|_ = [] : _|_@
+inits :: [a] -> [[a]]
+inits xs = [] : case xs of
+ [] -> []
+ x : xs' -> map (x :) (inits xs')
+
+-- | The 'tails' function returns all final segments of the argument,
+-- longest first. For example,
+--
+-- > tails "abc" == ["abc", "bc", "c",""]
+--
+-- Note that 'tails' has the following strictness property:
+-- @tails _|_ = _|_ : _|_@
+tails :: [a] -> [[a]]
+tails xs = xs : case xs of
+ [] -> []
+ _ : xs' -> tails xs'
+
+-- | The 'subsequences' function returns the list of all subsequences of the argument.
+--
+-- > subsequences "abc" == ["","a","b","ab","c","ac","bc","abc"]
+subsequences :: [a] -> [[a]]
+subsequences xs = [] : nonEmptySubsequences xs
+
+-- | The 'nonEmptySubsequences' function returns the list of all subsequences of the argument,
+-- except for the empty list.
+--
+-- > nonEmptySubsequences "abc" == ["a","b","ab","c","ac","bc","abc"]
+nonEmptySubsequences :: [a] -> [[a]]
+nonEmptySubsequences [] = []
+nonEmptySubsequences (x:xs) = [x] : foldr f [] (nonEmptySubsequences xs)
+ where f ys r = ys : (x : ys) : r
+
+
+-- | The 'permutations' function returns the list of all permutations of the argument.
+--
+-- > permutations "abc" == ["abc","bac","cba","bca","cab","acb"]
+permutations :: [a] -> [[a]]
+permutations xs0 = xs0 : perms xs0 []
+ where
+ perms [] _ = []
+ perms (t:ts) is = foldr interleave (perms ts (t:is)) (permutations is)
+ where interleave xs r = let (_,zs) = interleave' id xs r in zs
+ interleave' _ [] r = (ts, r)
+ interleave' f (y:ys) r = let (us,zs) = interleave' (f . (y:)) ys r
+ in (y:us, f (t:y:us) : zs)
+
+
+------------------------------------------------------------------------------
+-- Quick Sort algorithm taken from HBC's QSort library.
+
+-- | The 'sort' function implements a stable sorting algorithm.
+-- It is a special case of 'sortBy', which allows the programmer to supply
+-- their own comparison function.
+sort :: (Ord a) => [a] -> [a]
+
+-- | The 'sortBy' function is the non-overloaded version of 'sort'.
+sortBy :: (a -> a -> Ordering) -> [a] -> [a]
+
+#ifdef USE_REPORT_PRELUDE
+sort = sortBy compare
+sortBy cmp = foldr (insertBy cmp) []
+#else
+
+{-
+GHC's mergesort replaced by a better implementation, 24/12/2009.
+This code originally contributed to the nhc12 compiler by Thomas Nordin
+in 2002. Rumoured to have been based on code by Lennart Augustsson, e.g.
+ http://www.mail-archive.com/haskell@haskell.org/msg01822.html
+and possibly to bear similarities to a 1982 paper by Richard O'Keefe:
+"A smooth applicative merge sort".
+
+Benchmarks show it to be often 2x the speed of the previous implementation.
+Fixes ticket http://ghc.haskell.org/trac/ghc/ticket/2143
+-}
+
+sort = sortBy compare
+sortBy cmp = mergeAll . sequences
+ where
+ sequences (a:b:xs)
+ | a `cmp` b == GT = descending b [a] xs
+ | otherwise = ascending b (a:) xs
+ sequences xs = [xs]
+
+ descending a as (b:bs)
+ | a `cmp` b == GT = descending b (a:as) bs
+ descending a as bs = (a:as): sequences bs
+
+ ascending a as (b:bs)
+ | a `cmp` b /= GT = ascending b (\ys -> as (a:ys)) bs
+ ascending a as bs = as [a]: sequences bs
+
+ mergeAll [x] = x
+ mergeAll xs = mergeAll (mergePairs xs)
+
+ mergePairs (a:b:xs) = merge a b: mergePairs xs
+ mergePairs xs = xs
+
+ merge as@(a:as') bs@(b:bs')
+ | a `cmp` b == GT = b:merge as bs'
+ | otherwise = a:merge as' bs
+ merge [] bs = bs
+ merge as [] = as
+
+{-
+sortBy cmp l = mergesort cmp l
+sort l = mergesort compare l
+
+Quicksort replaced by mergesort, 14/5/2002.
+
+From: Ian Lynagh <igloo@earth.li>
+
+I am curious as to why the List.sort implementation in GHC is a
+quicksort algorithm rather than an algorithm that guarantees n log n
+time in the worst case? I have attached a mergesort implementation along
+with a few scripts to time it's performance, the results of which are
+shown below (* means it didn't finish successfully - in all cases this
+was due to a stack overflow).
+
+If I heap profile the random_list case with only 10000 then I see
+random_list peaks at using about 2.5M of memory, whereas in the same
+program using List.sort it uses only 100k.
+
+Input style Input length Sort data Sort alg User time
+stdin 10000 random_list sort 2.82
+stdin 10000 random_list mergesort 2.96
+stdin 10000 sorted sort 31.37
+stdin 10000 sorted mergesort 1.90
+stdin 10000 revsorted sort 31.21
+stdin 10000 revsorted mergesort 1.88
+stdin 100000 random_list sort *
+stdin 100000 random_list mergesort *
+stdin 100000 sorted sort *
+stdin 100000 sorted mergesort *
+stdin 100000 revsorted sort *
+stdin 100000 revsorted mergesort *
+func 10000 random_list sort 0.31
+func 10000 random_list mergesort 0.91
+func 10000 sorted sort 19.09
+func 10000 sorted mergesort 0.15
+func 10000 revsorted sort 19.17
+func 10000 revsorted mergesort 0.16
+func 100000 random_list sort 3.85
+func 100000 random_list mergesort *
+func 100000 sorted sort 5831.47
+func 100000 sorted mergesort 2.23
+func 100000 revsorted sort 5872.34
+func 100000 revsorted mergesort 2.24
+
+mergesort :: (a -> a -> Ordering) -> [a] -> [a]
+mergesort cmp = mergesort' cmp . map wrap
+
+mergesort' :: (a -> a -> Ordering) -> [[a]] -> [a]
+mergesort' _ [] = []
+mergesort' _ [xs] = xs
+mergesort' cmp xss = mergesort' cmp (merge_pairs cmp xss)
+
+merge_pairs :: (a -> a -> Ordering) -> [[a]] -> [[a]]
+merge_pairs _ [] = []
+merge_pairs _ [xs] = [xs]
+merge_pairs cmp (xs:ys:xss) = merge cmp xs ys : merge_pairs cmp xss
+
+merge :: (a -> a -> Ordering) -> [a] -> [a] -> [a]
+merge _ [] ys = ys
+merge _ xs [] = xs
+merge cmp (x:xs) (y:ys)
+ = case x `cmp` y of
+ GT -> y : merge cmp (x:xs) ys
+ _ -> x : merge cmp xs (y:ys)
+
+wrap :: a -> [a]
+wrap x = [x]
+
+
+
+OLDER: qsort version
+
+-- qsort is stable and does not concatenate.
+qsort :: (a -> a -> Ordering) -> [a] -> [a] -> [a]
+qsort _ [] r = r
+qsort _ [x] r = x:r
+qsort cmp (x:xs) r = qpart cmp x xs [] [] r
+
+-- qpart partitions and sorts the sublists
+qpart :: (a -> a -> Ordering) -> a -> [a] -> [a] -> [a] -> [a] -> [a]
+qpart cmp x [] rlt rge r =
+ -- rlt and rge are in reverse order and must be sorted with an
+ -- anti-stable sorting
+ rqsort cmp rlt (x:rqsort cmp rge r)
+qpart cmp x (y:ys) rlt rge r =
+ case cmp x y of
+ GT -> qpart cmp x ys (y:rlt) rge r
+ _ -> qpart cmp x ys rlt (y:rge) r
+
+-- rqsort is as qsort but anti-stable, i.e. reverses equal elements
+rqsort :: (a -> a -> Ordering) -> [a] -> [a] -> [a]
+rqsort _ [] r = r
+rqsort _ [x] r = x:r
+rqsort cmp (x:xs) r = rqpart cmp x xs [] [] r
+
+rqpart :: (a -> a -> Ordering) -> a -> [a] -> [a] -> [a] -> [a] -> [a]
+rqpart cmp x [] rle rgt r =
+ qsort cmp rle (x:qsort cmp rgt r)
+rqpart cmp x (y:ys) rle rgt r =
+ case cmp y x of
+ GT -> rqpart cmp x ys rle (y:rgt) r
+ _ -> rqpart cmp x ys (y:rle) rgt r
+-}
+
+#endif /* USE_REPORT_PRELUDE */
+
+-- | Sort a list by comparing the results of a key function applied to each
+-- element. @sortOn f@ is equivalent to @sortBy . comparing f@, but has the
+-- performance advantage of only evaluating @f@ once for each element in the
+-- input list. This is called the decorate-sort-undecorate paradigm, or
+-- Schwartzian transform.
+--
+-- /Since: 4.8.0.0/
+sortOn :: Ord b => (a -> b) -> [a] -> [a]
+sortOn f =
+ map snd . sortBy (comparing fst) . map (\x -> let y = f x in y `seq` (y, x))
+
+-- | The 'unfoldr' function is a \`dual\' to 'foldr': while 'foldr'
+-- reduces a list to a summary value, 'unfoldr' builds a list from
+-- a seed value. The function takes the element and returns 'Nothing'
+-- if it is done producing the list or returns 'Just' @(a,b)@, in which
+-- case, @a@ is a prepended to the list and @b@ is used as the next
+-- element in a recursive call. For example,
+--
+-- > iterate f == unfoldr (\x -> Just (x, f x))
+--
+-- In some cases, 'unfoldr' can undo a 'foldr' operation:
+--
+-- > unfoldr f' (foldr f z xs) == xs
+--
+-- if the following holds:
+--
+-- > f' (f x y) = Just (x,y)
+-- > f' z = Nothing
+--
+-- A simple use of unfoldr:
+--
+-- > unfoldr (\b -> if b == 0 then Nothing else Just (b, b-1)) 10
+-- > [10,9,8,7,6,5,4,3,2,1]
+--
+
+-- Note [INLINE unfoldr]
+-- We treat unfoldr a little differently from some other forms for list fusion
+-- for two reasons:
+--
+-- 1. We don't want to use a rule to rewrite a basic form to a fusible
+-- form because this would inline before constant floating. As Simon Peyton-
+-- Jones and others have pointed out, this could reduce sharing in some cases
+-- where sharing is beneficial. Thus we simply INLINE it, which is, for
+-- example, how enumFromTo::Int becomes eftInt. Unfortunately, we don't seem
+-- to get enough of an inlining discount to get a version of eftInt based on
+-- unfoldr to inline as readily as the usual one. We know that all the Maybe
+-- nonsense will go away, but the compiler does not.
+--
+-- 2. The benefit of inlining unfoldr is likely to be huge in many common cases,
+-- even apart from list fusion. In particular, inlining unfoldr often
+-- allows GHC to erase all the Maybes. This appears to be critical if unfoldr
+-- is to be used in high-performance code. A small increase in code size
+-- in the relatively rare cases when this does not happen looks like a very
+-- small price to pay.
+--
+-- Doing a back-and-forth dance doesn't seem to accomplish anything if the
+-- final form has to be inlined in any case.
+
+unfoldr :: (b -> Maybe (a, b)) -> b -> [a]
+
+{-# INLINE unfoldr #-} -- See Note [INLINE unfoldr]
+unfoldr f b0 = build (\c n ->
+ let go b = case f b of
+ Just (a, new_b) -> a `c` go new_b
+ Nothing -> n
+ in go b0)
+
+-- -----------------------------------------------------------------------------
+
+-- | A strict version of 'foldl'.
+foldl' :: forall a b . (b -> a -> b) -> b -> [a] -> b
+foldl' k z0 xs = foldr (\(v::a) (fn::b->b) (z::b) -> z `seq` fn (k z v)) (id :: b -> b) xs z0
+-- Implementing foldl' via foldr is only a good idea if the compiler can optimize
+-- the resulting code (eta-expand the recursive "go"), so this needs -fcall-arity!
+-- Also see #7994
+
+-- | 'foldl1' is a variant of 'foldl' that has no starting value argument,
+-- and thus must be applied to non-empty lists.
+foldl1 :: (a -> a -> a) -> [a] -> a
+foldl1 f (x:xs) = foldl f x xs
+foldl1 _ [] = errorEmptyList "foldl1"
+
+-- | A strict version of 'foldl1'
+foldl1' :: (a -> a -> a) -> [a] -> a
+foldl1' f (x:xs) = foldl' f x xs
+foldl1' _ [] = errorEmptyList "foldl1'"
+
+-- -----------------------------------------------------------------------------
+-- List sum and product
+
+-- | The 'sum' function computes the sum of a finite list of numbers.
+sum :: (Num a) => [a] -> a
+-- | The 'product' function computes the product of a finite list of numbers.
+product :: (Num a) => [a] -> a
+
+{-# INLINE sum #-}
+sum = foldl (+) 0
+{-# INLINE product #-}
+product = foldl (*) 1
+
+-- -----------------------------------------------------------------------------
+-- Functions on strings
+
+-- | 'lines' breaks a string up into a list of strings at newline
+-- characters. The resulting strings do not contain newlines.
+lines :: String -> [String]
+lines "" = []
+-- Somehow GHC doesn't detect the selector thunks in the below code,
+-- so s' keeps a reference to the first line via the pair and we have
+-- a space leak (cf. #4334).
+-- So we need to make GHC see the selector thunks with a trick.
+lines s = cons (case break (== '\n') s of
+ (l, s') -> (l, case s' of
+ [] -> []
+ _:s'' -> lines s''))
+ where
+ cons ~(h, t) = h : t
+
+-- | 'unlines' is an inverse operation to 'lines'.
+-- It joins lines, after appending a terminating newline to each.
+unlines :: [String] -> String
+#ifdef USE_REPORT_PRELUDE
+unlines = concatMap (++ "\n")
+#else
+-- HBC version (stolen)
+-- here's a more efficient version
+unlines [] = []
+unlines (l:ls) = l ++ '\n' : unlines ls
+#endif
+
+-- | 'words' breaks a string up into a list of words, which were delimited
+-- by white space.
+words :: String -> [String]
+words s = case dropWhile {-partain:Char.-}isSpace s of
+ "" -> []
+ s' -> w : words s''
+ where (w, s'') =
+ break {-partain:Char.-}isSpace s'
+
+-- | 'unwords' is an inverse operation to 'words'.
+-- It joins words with separating spaces.
+unwords :: [String] -> String
+#ifdef USE_REPORT_PRELUDE
+unwords [] = ""
+unwords ws = foldr1 (\w s -> w ++ ' ':s) ws
+#else
+-- HBC version (stolen)
+-- here's a more efficient version
+unwords [] = ""
+unwords [w] = w
+unwords (w:ws) = w ++ ' ' : unwords ws
+#endif
diff --git a/libraries/base/Data/OldTypeable/Internal.hs b/libraries/base/Data/OldTypeable/Internal.hs
index d5e39c5688..76869400b1 100644
--- a/libraries/base/Data/OldTypeable/Internal.hs
+++ b/libraries/base/Data/OldTypeable/Internal.hs
@@ -57,7 +57,7 @@ module Data.OldTypeable.Internal {-# DEPRECATED "Use Data.Typeable.Internal inst
import GHC.Base
import GHC.Word
import GHC.Show
-import Data.List
+import Data.OldList
import GHC.Num
import GHC.Real
import GHC.IORef
diff --git a/libraries/base/GHC/Event/Internal.hs b/libraries/base/GHC/Event/Internal.hs
index f57cf9b88a..f1bd45ebc5 100644
--- a/libraries/base/GHC/Event/Internal.hs
+++ b/libraries/base/GHC/Event/Internal.hs
@@ -23,13 +23,12 @@ module GHC.Event.Internal
) where
import Data.Bits ((.|.), (.&.))
-import Data.List (foldl', intercalate)
+import Data.OldList (foldl', filter, intercalate, null)
import Foreign.C.Error (eINTR, getErrno, throwErrno)
import System.Posix.Types (Fd)
import GHC.Base
import GHC.Num (Num(..))
import GHC.Show (Show(..))
-import GHC.List (filter, null)
-- | An I\/O event.
newtype Event = Event Int
diff --git a/libraries/base/GHC/Exts.hs b/libraries/base/GHC/Exts.hs
index 6499da878a..aa0fc93484 100755
--- a/libraries/base/GHC/Exts.hs
+++ b/libraries/base/GHC/Exts.hs
@@ -81,7 +81,7 @@ import GHC.Stack
import qualified Data.Coerce
import Data.String
-import Data.List
+import Data.OldList
import Data.Data
import Data.Ord
import qualified Debug.Trace
diff --git a/libraries/base/Prelude.hs b/libraries/base/Prelude.hs
index 53414c95dc..72100d64f9 100644
--- a/libraries/base/Prelude.hs
+++ b/libraries/base/Prelude.hs
@@ -148,7 +148,7 @@ import Data.Maybe
import Data.Traversable ( Traversable )
import Data.Tuple
-import GHC.Base
+import GHC.Base hiding ( foldr )
import Text.Read
import GHC.Enum
import GHC.Num
diff --git a/libraries/base/base.cabal b/libraries/base/base.cabal
index 74297bb317..e1b6b327e5 100644
--- a/libraries/base/base.cabal
+++ b/libraries/base/base.cabal
@@ -136,6 +136,7 @@ Library
Data.List
Data.Maybe
Data.Monoid
+ Data.OldList
Data.OldTypeable
Data.OldTypeable.Internal
Data.Ord
diff --git a/libraries/haskell2010 b/libraries/haskell2010
-Subproject 8d5301d03f2bb945ef3c7d975dcff3a4d93a0ad
+Subproject 8ab509b674c73df2298d0f356b438d7db52896e
diff --git a/libraries/haskell98 b/libraries/haskell98
-Subproject a97ea9fa765b4d8afe44d92470519719a4ede29
+Subproject 51ac61ffff22ad23b5c7edc3fcc503af1d88c74
diff --git a/testsuite/tests/ghci/scripts/ghci008.stdout b/testsuite/tests/ghci/scripts/ghci008.stdout
index f0a3f19a9c..057e9b298a 100644
--- a/testsuite/tests/ghci/scripts/ghci008.stdout
+++ b/testsuite/tests/ghci/scripts/ghci008.stdout
@@ -32,5 +32,5 @@ class (RealFrac a, Floating a) => RealFloat a where
-- Defined in ‘GHC.Float’
instance RealFloat Float -- Defined in ‘GHC.Float’
instance RealFloat Double -- Defined in ‘GHC.Float’
-Data.List.isPrefixOf :: Eq a => [a] -> [a] -> Bool
- -- Defined in ‘Data.List’
+Data.OldList.isPrefixOf :: Eq a => [a] -> [a] -> Bool
+ -- Defined in ‘Data.OldList’
diff --git a/testsuite/tests/lib/integer/integerGmpInternals.hs b/testsuite/tests/lib/integer/integerGmpInternals.hs
index 1cbad60b7b..3abb14031a 100644
--- a/testsuite/tests/lib/integer/integerGmpInternals.hs
+++ b/testsuite/tests/lib/integer/integerGmpInternals.hs
@@ -160,4 +160,4 @@ main = do
roll :: [Word8] -> Integer
- roll = foldr (\b a -> a `shiftL` 8 .|. fromIntegral b) 0
+ roll = GHC.Base.foldr (\b a -> a `shiftL` 8 .|. fromIntegral b) 0
diff --git a/testsuite/tests/rename/should_compile/T1972.stderr b/testsuite/tests/rename/should_compile/T1972.stderr
index e8e8f39a6b..38f013e222 100644
--- a/testsuite/tests/rename/should_compile/T1972.stderr
+++ b/testsuite/tests/rename/should_compile/T1972.stderr
@@ -7,5 +7,6 @@ T1972.hs:14:3: Warning:
This binding for ‘mapAccumL’ shadows the existing bindings
defined at T1972.hs:16:1
imported from ‘Data.List’ at T1972.hs:7:1-16
+ (and originally defined in ‘Data.OldList’)
T1972.hs:20:10: Warning: Defined but not used: ‘c’
diff --git a/testsuite/tests/rename/should_compile/T7963a.hs b/testsuite/tests/rename/should_compile/T7963a.hs
index 2a21a18181..fc8004d0ee 100644
--- a/testsuite/tests/rename/should_compile/T7963a.hs
+++ b/testsuite/tests/rename/should_compile/T7963a.hs
@@ -1,4 +1,7 @@
module T7963a where
+import Prelude ()
+import Data.OldList
+
unlines = concat
diff --git a/testsuite/tests/rename/should_fail/rnfail040.stderr b/testsuite/tests/rename/should_fail/rnfail040.stderr
index 38ffb08b60..80fad233b0 100644
--- a/testsuite/tests/rename/should_fail/rnfail040.stderr
+++ b/testsuite/tests/rename/should_fail/rnfail040.stderr
@@ -3,6 +3,7 @@ rnfail040.hs:7:12:
Conflicting exports for ‘nub’:
‘module M’ exports ‘M.nub’
imported from ‘Data.List’ at rnfail040.hs:10:2-22
+ (and originally defined in ‘Data.OldList’)
‘module M’ exports ‘T.nub’
imported from ‘Rnfail040_A’ at rnfail040.hs:11:2-24
(and originally defined at Rnfail040_A.hs:2:3-5)