summaryrefslogtreecommitdiff
path: root/ghc/lib/misc/Util.lhs
diff options
context:
space:
mode:
Diffstat (limited to 'ghc/lib/misc/Util.lhs')
-rw-r--r--ghc/lib/misc/Util.lhs804
1 files changed, 0 insertions, 804 deletions
diff --git a/ghc/lib/misc/Util.lhs b/ghc/lib/misc/Util.lhs
deleted file mode 100644
index 791cd6ae5f..0000000000
--- a/ghc/lib/misc/Util.lhs
+++ /dev/null
@@ -1,804 +0,0 @@
-%
-% (c) The GRASP/AQUA Project, Glasgow University, 1992-1996
-%
-\section[Util]{Highly random utility functions}
-
-\begin{code}
-#if defined(COMPILING_GHC)
-# include "HsVersions.h"
-# define IF_NOT_GHC(a) {--}
-#else
-# define panic error
-# define TAG_ Ordering
-# define LT_ LT
-# define EQ_ EQ
-# define GT_ GT
-# define _LT LT
-# define _EQ EQ
-# define _GT GT
-# define GT__ _
-# define tagCmp_ compare
-# define _tagCmp compare
-# define FAST_STRING String
-# define ASSERT(x) {-nothing-}
-# define IF_NOT_GHC(a) a
-# define COMMA ,
-#endif
-
-#ifndef __GLASGOW_HASKELL__
-# undef TAG_
-# undef LT_
-# undef EQ_
-# undef GT_
-# undef tagCmp_
-#endif
-
-module Util (
- -- Haskell-version support
-#ifndef __GLASGOW_HASKELL__
- tagCmp_,
- TAG_(..),
-#endif
- -- general list processing
- IF_NOT_GHC(forall COMMA exists COMMA)
- zipEqual, zipWithEqual, zipWith3Equal, zipWith4Equal,
- zipLazy,
- mapAndUnzip, mapAndUnzip3,
- nOfThem, lengthExceeds, isSingleton,
- startsWith, endsWith,
-#if defined(COMPILING_GHC)
- isIn, isn'tIn,
-#endif
-
- -- association lists
- assoc,
-
- -- duplicate handling
- hasNoDups, equivClasses, runs, removeDups,
-
- -- sorting
- IF_NOT_GHC(quicksort COMMA stableSortLt COMMA mergesort COMMA)
- sortLt,
- IF_NOT_GHC(mergeSort COMMA) naturalMergeSortLe, -- from Carsten
- IF_NOT_GHC(naturalMergeSort COMMA mergeSortLe COMMA)
-
- -- transitive closures
- transitiveClosure,
-
- -- accumulating
- mapAccumL, mapAccumR, mapAccumB,
-
- -- comparisons
-#if defined(COMPILING_GHC)
- thenCmp, cmpList,
- cmpPString,
-#else
- cmpString,
-#endif
-
- -- pairs
- IF_NOT_GHC(cfst COMMA applyToPair COMMA applyToFst COMMA)
- IF_NOT_GHC(applyToSnd COMMA foldPair COMMA)
- unzipWith
-
- -- error handling
-#if defined(COMPILING_GHC)
- , panic, panic#, pprPanic, pprPanic#, pprError, pprTrace
- , assertPanic
-#endif {- COMPILING_GHC -}
-
- ) where
-
-import List(zipWith4)
-import Addr
-
-infixr 9 `thenCmp`
-\end{code}
-
-%************************************************************************
-%* *
-\subsection[Utils-version-support]{Functions to help pre-1.2 versions of (non-Glasgow) Haskell}
-%* *
-%************************************************************************
-
-This is our own idea:
-\begin{code}
-#ifndef __GLASGOW_HASKELL__
-data TAG_ = LT_ | EQ_ | GT_
-
-tagCmp_ :: Ord a => a -> a -> TAG_
-tagCmp_ a b = if a == b then EQ_ else if a < b then LT_ else GT_
-#endif
-\end{code}
-
-%************************************************************************
-%* *
-\subsection[Utils-lists]{General list processing}
-%* *
-%************************************************************************
-
-Quantifiers are not standard in Haskell. The following fill in the gap.
-
-\begin{code}
-forall :: (a -> Bool) -> [a] -> Bool
-forall pred [] = True
-forall pred (x:xs) = pred x && forall pred xs
-
-exists :: (a -> Bool) -> [a] -> Bool
-exists pred [] = False
-exists pred (x:xs) = pred x || exists pred xs
-\end{code}
-
-A paranoid @zip@ (and some @zipWith@ friends) that checks the lists
-are of equal length. Alastair Reid thinks this should only happen if
-DEBUGging on; hey, why not?
-[In the GHC syslib, we want the paranoid behaviour by default --SOF]
-
-\begin{code}
-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]
-
-#if (!defined(DEBUG)) && defined(COMPILING_GHC)
-zipEqual _ = zip
-zipWithEqual _ = zipWith
-zipWith3Equal _ = zipWith3
-zipWith4Equal _ = zipWith4
-#else
-zipEqual msg [] [] = []
-zipEqual msg (a:as) (b:bs) = (a,b) : zipEqual msg as bs
-zipEqual msg as bs = panic ("zipEqual: unequal lists:"++msg)
-
-zipWithEqual msg z (a:as) (b:bs)= z a b : zipWithEqual msg z as bs
-zipWithEqual msg _ [] [] = []
-zipWithEqual msg _ _ _ = panic ("zipWithEqual: unequal lists:"++msg)
-
-zipWith3Equal msg z (a:as) (b:bs) (c:cs)
- = z a b c : zipWith3Equal msg z as bs cs
-zipWith3Equal msg _ [] [] [] = []
-zipWith3Equal msg _ _ _ _ = panic ("zipWith3Equal: unequal lists:"++msg)
-
-zipWith4Equal msg z (a:as) (b:bs) (c:cs) (d:ds)
- = z a b c d : zipWith4Equal msg z as bs cs ds
-zipWith4Equal msg _ [] [] [] [] = []
-zipWith4Equal msg _ _ _ _ _ = panic ("zipWith4Equal: unequal lists:"++msg)
-#endif
-\end{code}
-
-\begin{code}
--- zipLazy is lazy in the second list (observe the ~)
-
-zipLazy :: [a] -> [b] -> [(a,b)]
-zipLazy [] ys = []
-zipLazy (x:xs) ~(y:ys) = (x,y) : zipLazy xs ys
-\end{code}
-
-\begin{code}
-mapAndUnzip :: (a -> (b, c)) -> [a] -> ([b], [c])
-
-mapAndUnzip f [] = ([],[])
-mapAndUnzip f (x:xs)
- = let
- (r1, r2) = f x
- (rs1, rs2) = mapAndUnzip f xs
- in
- (r1:rs1, r2:rs2)
-
-mapAndUnzip3 :: (a -> (b, c, d)) -> [a] -> ([b], [c], [d])
-
-mapAndUnzip3 f [] = ([],[],[])
-mapAndUnzip3 f (x:xs)
- = let
- (r1, r2, r3) = f x
- (rs1, rs2, rs3) = mapAndUnzip3 f xs
- in
- (r1:rs1, r2:rs2, r3:rs3)
-\end{code}
-
-\begin{code}
-nOfThem :: Int -> a -> [a]
-nOfThem = replicate -- deprecated.
-
-lengthExceeds :: [a] -> Int -> Bool
--- (lengthExceeds xs n) is True if length xs > n
-[] `lengthExceeds` n = 0 > n
-(x:xs) `lengthExceeds` n = (1 > n) || (xs `lengthExceeds` (n - 1))
-
-isSingleton :: [a] -> Bool
-
-isSingleton [x] = True
-isSingleton _ = False
-
-startsWith, endsWith :: String -> String -> Maybe String
-
-startsWith [] str = Just str
-startsWith (c:cs) (s:ss)
- = if c /= s then Nothing else startsWith cs ss
-startsWith _ [] = Nothing
-
-endsWith cs ss
- = case (startsWith (reverse cs) (reverse ss)) of
- Nothing -> Nothing
- Just rs -> Just (reverse rs)
-\end{code}
-
-Debugging/specialising versions of \tr{elem} and \tr{notElem}
-\begin{code}
-#if defined(COMPILING_GHC)
-isIn, isn'tIn :: (Eq a) => String -> a -> [a] -> Bool
-
-# ifndef DEBUG
-isIn msg x ys = elem__ x ys
-isn'tIn msg x ys = notElem__ x ys
-
---these are here to be SPECIALIZEd (automagically)
-elem__ _ [] = False
-elem__ x (y:ys) = x==y || elem__ x ys
-
-notElem__ x [] = True
-notElem__ x (y:ys) = x /= y && notElem__ x ys
-
-# else {- DEBUG -}
-isIn msg x ys
- = elem ILIT(0) x ys
- where
- elem i _ [] = False
- elem i x (y:ys)
- | i _GE_ ILIT(100) = panic ("Over-long elem in: " ++ msg)
- | otherwise = x == y || elem (i _ADD_ ILIT(1)) x ys
-
-isn'tIn msg x ys
- = notElem ILIT(0) x ys
- where
- notElem i x [] = True
- notElem i x (y:ys)
- | i _GE_ ILIT(100) = panic ("Over-long notElem in: " ++ msg)
- | otherwise = x /= y && notElem (i _ADD_ ILIT(1)) x ys
-
-# endif {- DEBUG -}
-
-#endif {- COMPILING_GHC -}
-\end{code}
-
-%************************************************************************
-%* *
-\subsection[Utils-assoc]{Association lists}
-%* *
-%************************************************************************
-
-See also @assocMaybe@ and @mkLookupFun@ in module @Maybes@.
-
-\begin{code}
-assoc :: (Eq a) => String -> [(a, b)] -> a -> b
-
-assoc crash_msg lst key
- = if (null res)
- then panic ("Failed in assoc: " ++ crash_msg)
- else head res
- where res = [ val | (key', val) <- lst, key == key']
-\end{code}
-
-%************************************************************************
-%* *
-\subsection[Utils-dups]{Duplicate-handling}
-%* *
-%************************************************************************
-
-\begin{code}
-hasNoDups :: (Eq a) => [a] -> Bool
-
-hasNoDups xs = f [] xs
- where
- f seen_so_far [] = True
- f seen_so_far (x:xs) = if x `is_elem` seen_so_far then
- False
- else
- f (x:seen_so_far) xs
-
-#if defined(COMPILING_GHC)
- is_elem = isIn "hasNoDups"
-#else
- is_elem = elem
-#endif
-\end{code}
-
-\begin{code}
-equivClasses :: (a -> a -> Ordering) -- Comparison
- -> [a]
- -> [[a]]
-
-equivClasses cmp stuff@[] = []
-equivClasses cmp stuff@[item] = [stuff]
-equivClasses cmp items
- = runs eq (sortLt lt items)
- where
- eq a b = case cmp a b of { EQ -> True; _ -> False }
- lt a b = case cmp a b of { LT -> True; _ -> False }
-\end{code}
-
-The first cases in @equivClasses@ above are just to cut to the point
-more quickly...
-
-@runs@ groups a list into a list of lists, each sublist being a run of
-identical elements of the input list. It is passed a predicate @p@ which
-tells when two elements are equal.
-
-\begin{code}
-runs :: (a -> a -> Bool) -- Equality
- -> [a]
- -> [[a]]
-
-runs p [] = []
-runs p (x:xs) = case (span (p x) xs) of
- (first, rest) -> (x:first) : (runs p rest)
-\end{code}
-
-\begin{code}
-removeDups :: (a -> a -> Ordering) -- Comparison function
- -> [a]
- -> ([a], -- List with no duplicates
- [[a]]) -- List of duplicate groups. One representative from
- -- each group appears in the first result
-
-removeDups cmp [] = ([], [])
-removeDups cmp [x] = ([x],[])
-removeDups cmp xs
- = case (mapAccumR collect_dups [] (equivClasses cmp xs)) of { (dups, xs') ->
- (xs', dups) }
- where
- collect_dups dups_so_far [x] = (dups_so_far, x)
- collect_dups dups_so_far dups@(x:xs) = (dups:dups_so_far, x)
-\end{code}
-
-%************************************************************************
-%* *
-\subsection[Utils-sorting]{Sorting}
-%* *
-%************************************************************************
-
-%************************************************************************
-%* *
-\subsubsection[Utils-quicksorting]{Quicksorts}
-%* *
-%************************************************************************
-
-\begin{code}
--- tail-recursive, etc., "quicker sort" [as per Meira thesis]
-quicksort :: (a -> a -> Bool) -- Less-than predicate
- -> [a] -- Input list
- -> [a] -- Result list in increasing order
-
-quicksort lt [] = []
-quicksort lt [x] = [x]
-quicksort lt (x:xs) = split x [] [] xs
- where
- split x lo hi [] = quicksort lt lo ++ (x : quicksort lt hi)
- split x lo hi (y:ys) | y `lt` x = split x (y:lo) hi ys
- | True = split x lo (y:hi) ys
-\end{code}
-
-Quicksort variant from Lennart's Haskell-library contribution. This
-is a {\em stable} sort.
-
-\begin{code}
-stableSortLt = sortLt -- synonym; when we want to highlight stable-ness
-
-sortLt :: (a -> a -> Bool) -- Less-than predicate
- -> [a] -- Input list
- -> [a] -- Result list
-
-sortLt lt l = qsort lt l []
-
--- qsort is stable and does not concatenate.
-qsort :: (a -> a -> Bool) -- Less-than predicate
- -> [a] -- xs, Input list
- -> [a] -- r, Concatenate this list to the sorted input list
- -> [a] -- Result = sort xs ++ r
-
-qsort lt [] r = r
-qsort lt [x] r = x:r
-qsort lt (x:xs) r = qpart lt x xs [] [] r
-
--- qpart partitions and sorts the sublists
--- rlt contains things less than x,
--- rge contains the ones greater than or equal to x.
--- Both have equal elements reversed with respect to the original list.
-
-qpart lt x [] rlt rge r =
- -- rlt and rge are in reverse order and must be sorted with an
- -- anti-stable sorting
- rqsort lt rlt (x : rqsort lt rge r)
-
-qpart lt x (y:ys) rlt rge r =
- if lt y x then
- -- y < x
- qpart lt x ys (y:rlt) rge r
- else
- -- y >= x
- qpart lt x ys rlt (y:rge) r
-
--- rqsort is as qsort but anti-stable, i.e. reverses equal elements
-rqsort lt [] r = r
-rqsort lt [x] r = x:r
-rqsort lt (x:xs) r = rqpart lt x xs [] [] r
-
-rqpart lt x [] rle rgt r =
- qsort lt rle (x : qsort lt rgt r)
-
-rqpart lt x (y:ys) rle rgt r =
- if lt x y then
- -- y > x
- rqpart lt x ys rle (y:rgt) r
- else
- -- y <= x
- rqpart lt x ys (y:rle) rgt r
-\end{code}
-
-%************************************************************************
-%* *
-\subsubsection[Utils-dull-mergesort]{A rather dull mergesort}
-%* *
-%************************************************************************
-
-\begin{code}
-mergesort :: (a -> a -> Ordering) -> [a] -> [a]
-
-mergesort cmp xs = merge_lists (split_into_runs [] xs)
- where
- a `le` b = case cmp a b of { LT_ -> True; EQ_ -> True; GT__ -> False }
- a `ge` b = case cmp a b of { LT_ -> False; EQ_ -> True; GT__ -> True }
-
- split_into_runs [] [] = []
- split_into_runs run [] = [run]
- split_into_runs [] (x:xs) = split_into_runs [x] xs
- split_into_runs [r] (x:xs) | x `ge` r = split_into_runs [r,x] xs
- split_into_runs rl@(r:rs) (x:xs) | x `le` r = split_into_runs (x:rl) xs
- | True = rl : (split_into_runs [x] xs)
-
- merge_lists [] = []
- merge_lists (x:xs) = merge x (merge_lists xs)
-
- merge [] ys = ys
- merge xs [] = xs
- merge xl@(x:xs) yl@(y:ys)
- = case cmp x y of
- EQ_ -> x : y : (merge xs ys)
- LT_ -> x : (merge xs yl)
- GT__ -> y : (merge xl ys)
-\end{code}
-
-%************************************************************************
-%* *
-\subsubsection[Utils-Carsten-mergesort]{A mergesort from Carsten}
-%* *
-%************************************************************************
-
-\begin{display}
-Date: Mon, 3 May 93 20:45:23 +0200
-From: Carsten Kehler Holst <kehler@cs.chalmers.se>
-To: partain@dcs.gla.ac.uk
-Subject: natural merge sort beats quick sort [ and it is prettier ]
-
-Here is a piece of Haskell code that I'm rather fond of. See it as an
-attempt to get rid of the ridiculous quick-sort routine. group is
-quite useful by itself I think it was John's idea originally though I
-believe the lazy version is due to me [surprisingly complicated].
-gamma [used to be called] is called gamma because I got inspired by
-the Gamma calculus. It is not very close to the calculus but does
-behave less sequentially than both foldr and foldl. One could imagine
-a version of gamma that took a unit element as well thereby avoiding
-the problem with empty lists.
-
-I've tried this code against
-
- 1) insertion sort - as provided by haskell
- 2) the normal implementation of quick sort
- 3) a deforested version of quick sort due to Jan Sparud
- 4) a super-optimized-quick-sort of Lennart's
-
-If the list is partially sorted both merge sort and in particular
-natural merge sort wins. If the list is random [ average length of
-rising subsequences = approx 2 ] mergesort still wins and natural
-merge sort is marginally beaten by Lennart's soqs. The space
-consumption of merge sort is a bit worse than Lennart's quick sort
-approx a factor of 2. And a lot worse if Sparud's bug-fix [see his
-fpca article ] isn't used because of group.
-
-have fun
-Carsten
-\end{display}
-
-\begin{code}
-group :: (a -> a -> Bool) -> [a] -> [[a]]
-
-{-
-Date: Mon, 12 Feb 1996 15:09:41 +0000
-From: Andy Gill <andy@dcs.gla.ac.uk>
-
-Here is a `better' definition of group.
--}
-group p [] = []
-group p (x:xs) = group' xs x x (x :)
- where
- group' [] _ _ s = [s []]
- group' (x:xs) x_min x_max s
- | not (x `p` x_max) = group' xs x_min x (s . (x :))
- | x `p` x_min = group' xs x x_max ((x :) . s)
- | otherwise = s [] : group' xs x x (x :)
-
--- This one works forwards *and* backwards, as well as also being
--- faster that the one in Util.lhs.
-
-{- ORIG:
-group p [] = [[]]
-group p (x:xs) =
- let ((h1:t1):tt1) = group p xs
- (t,tt) = if null xs then ([],[]) else
- if x `p` h1 then (h1:t1,tt1) else
- ([], (h1:t1):tt1)
- in ((x:t):tt)
--}
-
-generalMerge :: (a -> a -> Bool) -> [a] -> [a] -> [a]
-generalMerge p xs [] = xs
-generalMerge p [] ys = ys
-generalMerge p (x:xs) (y:ys) | x `p` y = x : generalMerge p xs (y:ys)
- | otherwise = y : generalMerge p (x:xs) ys
-
--- gamma is now called balancedFold
-
-balancedFold :: (a -> a -> a) -> [a] -> a
-balancedFold f [] = error "can't reduce an empty list using balancedFold"
-balancedFold f [x] = x
-balancedFold f l = balancedFold f (balancedFold' f l)
-
-balancedFold' :: (a -> a -> a) -> [a] -> [a]
-balancedFold' f (x:y:xs) = f x y : balancedFold' f xs
-balancedFold' f xs = xs
-
-generalMergeSort p [] = []
-generalMergeSort p xs = (balancedFold (generalMerge p) . map (: [])) xs
-
-generalNaturalMergeSort p [] = []
-generalNaturalMergeSort p xs = (balancedFold (generalMerge p) . group p) xs
-
-mergeSort, naturalMergeSort :: Ord a => [a] -> [a]
-
-mergeSort = generalMergeSort (<=)
-naturalMergeSort = generalNaturalMergeSort (<=)
-
-mergeSortLe le = generalMergeSort le
-naturalMergeSortLe le = generalNaturalMergeSort le
-\end{code}
-
-%************************************************************************
-%* *
-\subsection[Utils-transitive-closure]{Transitive closure}
-%* *
-%************************************************************************
-
-This algorithm for transitive closure is straightforward, albeit quadratic.
-
-\begin{code}
-transitiveClosure :: (a -> [a]) -- Successor function
- -> (a -> a -> Bool) -- Equality predicate
- -> [a]
- -> [a] -- The transitive closure
-
-transitiveClosure succ eq xs
- = go [] xs
- where
- go done [] = done
- go done (x:xs) | x `is_in` done = go done xs
- | otherwise = go (x:done) (succ x ++ xs)
-
- x `is_in` [] = False
- x `is_in` (y:ys) | eq x y = True
- | otherwise = x `is_in` ys
-\end{code}
-
-%************************************************************************
-%* *
-\subsection[Utils-accum]{Accumulating}
-%* *
-%************************************************************************
-
-@mapAccumL@ 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.
-
-\begin{code}
-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 f b [] = (b, [])
-mapAccumL f b (x:xs) = (b'', x':xs') where
- (b', x') = f b x
- (b'', xs') = mapAccumL f b' xs
-\end{code}
-
-@mapAccumR@ does the same, but working from right to left instead. Its type is
-the same as @mapAccumL@, though.
-
-\begin{code}
-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 f b [] = (b, [])
-mapAccumR f b (x:xs) = (b'', x':xs') where
- (b'', x') = f b' x
- (b', xs') = mapAccumR f b xs
-\end{code}
-
-Here is the bi-directional version, that works from both left and right.
-
-\begin{code}
-mapAccumB :: (accl -> accr -> x -> (accl, accr,y))
- -- Function of elt of input list
- -- and accumulator, returning new
- -- accumulator and elt of result list
- -> accl -- Initial accumulator from left
- -> accr -- Initial accumulator from right
- -> [x] -- Input list
- -> (accl, accr, [y]) -- Final accumulators and result list
-
-mapAccumB f a b [] = (a,b,[])
-mapAccumB f a b (x:xs) = (a'',b'',y:ys)
- where
- (a',b'',y) = f a b' x
- (a'',b',ys) = mapAccumB f a' b xs
-\end{code}
-
-%************************************************************************
-%* *
-\subsection[Utils-comparison]{Comparisons}
-%* *
-%************************************************************************
-
-See also @tagCmp_@ near the versions-compatibility section.
-
-The Ord3 class will be subsumed into Ord in Haskell 1.3.
-
-\begin{code}
-{-
-class Ord3 a where
- cmp :: a -> a -> TAG_
--}
-
-thenCmp :: Ordering -> Ordering -> Ordering
-{-# INLINE thenCmp #-}
-thenCmp EQ any = any
-thenCmp other any = other
-
-cmpList :: (a -> a -> Ordering) -> [a] -> [a] -> Ordering
- -- `cmpList' uses a user-specified comparer
-
-cmpList cmp [] [] = EQ
-cmpList cmp [] _ = LT
-cmpList cmp _ [] = GT
-cmpList cmp (a:as) (b:bs)
- = case cmp a b of { EQ -> cmpList cmp as bs; xxx -> xxx }
-\end{code}
-
-begin{code}
-instance Ord3 a => Ord3 [a] where
- cmp [] [] = EQ_
- cmp (x:xs) [] = GT_
- cmp [] (y:ys) = LT_
- cmp (x:xs) (y:ys) = (x `cmp` y) `thenCmp` (xs `cmp` ys)
-
-instance Ord3 a => Ord3 (Maybe a) where
- cmp Nothing Nothing = EQ_
- cmp Nothing (Just y) = LT_
- cmp (Just x) Nothing = GT_
- cmp (Just x) (Just y) = x `cmp` y
-
-instance Ord3 Int where
- cmp a b | a < b = LT_
- | a > b = GT_
- | otherwise = EQ_
-end{code}
-
-\begin{code}
-cmpString :: String -> String -> TAG_
-
-cmpString [] [] = EQ_
-cmpString (x:xs) (y:ys) = if x == y then cmpString xs ys
- else if x < y then LT_
- else GT_
-cmpString [] ys = LT_
-cmpString xs [] = GT_
-\end{code}
-
-\begin{code}
-cmpPString :: FAST_STRING -> FAST_STRING -> TAG_
-
-cmpPString x y = compare x y
-\end{code}
-
-%************************************************************************
-%* *
-\subsection[Utils-pairs]{Pairs}
-%* *
-%************************************************************************
-
-The following are curried versions of @fst@ and @snd@.
-
-\begin{code}
-cfst :: a -> b -> a -- stranal-sem only (Note)
-cfst x y = x
-\end{code}
-
-The following provide us higher order functions that, when applied
-to a function, operate on pairs.
-
-\begin{code}
-applyToPair :: ((a -> c),(b -> d)) -> (a,b) -> (c,d)
-applyToPair (f,g) (x,y) = (f x, g y)
-
-applyToFst :: (a -> c) -> (a,b)-> (c,b)
-applyToFst f (x,y) = (f x,y)
-
-applyToSnd :: (b -> d) -> (a,b) -> (a,d)
-applyToSnd f (x,y) = (x,f y)
-
-foldPair :: (a->a->a,b->b->b) -> (a,b) -> [(a,b)] -> (a,b)
-foldPair fg ab [] = ab
-foldPair fg@(f,g) ab ((a,b):abs) = (f a u,g b v)
- where (u,v) = foldPair fg ab abs
-\end{code}
-
-\begin{code}
-unzipWith :: (a -> b -> c) -> [(a, b)] -> [c]
-unzipWith f pairs = map ( \ (a, b) -> f a b ) pairs
-\end{code}
-
-%************************************************************************
-%* *
-\subsection[Utils-errors]{Error handling}
-%* *
-%************************************************************************
-
-\begin{code}
-#if defined(COMPILING_GHC)
-panic x = error ("panic! (the `impossible' happened):\n\t"
- ++ x ++ "\n\n"
- ++ "Please report it as a compiler bug "
- ++ "to glasgow-haskell-bugs@haskell.org.\n\n" )
-
-pprPanic heading pretty_msg = panic (heading++(ppShow 80 pretty_msg))
-pprError heading pretty_msg = error (heading++(ppShow 80 pretty_msg))
-#if __GLASGOW_HASKELL__ == 201
-pprTrace heading pretty_msg = GHCbase.trace (heading++(ppShow 80 pretty_msg))
-#elsif __GLASGOW_HASKELL__ >= 201
-pprTrace heading pretty_msg = GHC.trace (heading++(ppShow 80 pretty_msg))
-#else
-pprTrace heading pretty_msg = trace (heading++(ppShow 80 pretty_msg))
-#endif
-
--- #-versions because panic can't return an unboxed int, and that's
--- what TAG_ is with GHC at the moment. Ugh. (Simon)
--- No, man -- Too Beautiful! (Will)
-
-panic# :: String -> TAG_
-panic# s = case (panic s) of () -> EQ_
-
-pprPanic# heading pretty_msg = panic# (heading++(ppShow 80 pretty_msg))
-
-assertPanic :: String -> Int -> a
-assertPanic file line = panic ("ASSERT failed! file "++file++", line "++show line)
-
-#endif {- COMPILING_GHC -}
-\end{code}
-