nTimes,
-- sorting
- sortLt, naturalMergeSortLe,
+ sortLe, sortWith,
-- transitive closures
transitiveClosure,
takeList, dropList, splitAtList,
-- comparisons
- eqListBy, equalLength, compareLength,
+ isEqual, eqListBy, equalLength, compareLength,
thenCmp, cmpList, prefixMatch, suffixMatch, maybePrefixMatch,
-- strictness
readRational,
) where
-#include "../includes/ghcconfig.h"
#include "HsVersions.h"
import Panic ( panic, trace )
%************************************************************************
%* *
-\subsection[Utils-sorting]{Sorting}
-%* *
-%************************************************************************
-
-%************************************************************************
-%* *
-\subsubsection[Utils-quicksorting]{Quicksorts}
-%* *
-%************************************************************************
-
-\begin{code}
-#if NOT_USED
-
--- 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
-#endif
-\end{code}
-
-Quicksort variant from Lennart's Haskell-library contribution. This
-is a {\em stable} sort.
-
-\begin{code}
-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}
-#if NOT_USED
-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)
-#endif
-\end{code}
-
-%************************************************************************
-%* *
\subsubsection[Utils-Carsten-mergesort]{A mergesort from Carsten}
%* *
%************************************************************************
\begin{code}
group :: (a -> a -> Bool) -> [a] -> [[a]]
+-- Given a <= function, group finds maximal contiguous up-runs
+-- or down-runs in the input list.
+-- It's stable, in the sense that it never re-orders equal elements
+--
+-- Date: Mon, 12 Feb 1996 15:09:41 +0000
+-- From: Andy Gill <andy@dcs.gla.ac.uk>
+-- Here is a `better' definition of group.
-{-
-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)
+ | x_max `p` x = group' xs x_min x (s . (x :))
+ | not (x_min `p` x) = 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)
--}
+ -- NB: the 'not' is essential for stablity
+ -- x `p` x_min would reverse equal elements
generalMerge :: (a -> a -> Bool) -> [a] -> [a] -> [a]
generalMerge p xs [] = xs
mergeSortLe le = generalMergeSort le
#endif
-naturalMergeSortLe le = generalNaturalMergeSort le
+sortLe :: (a->a->Bool) -> [a] -> [a]
+sortLe le = generalNaturalMergeSort le
+
+sortWith :: Ord b => (a->b) -> [a] -> [a]
+sortWith get_key xs = sortLe le xs
+ where
+ x `le` y = get_key x < get_key y
\end{code}
%************************************************************************
%************************************************************************
\begin{code}
+isEqual :: Ordering -> Bool
+-- Often used in (isEqual (a `compare` b))
+isEqual GT = False
+isEqual EQ = True
+isEqual LT = False
+
+thenCmp :: Ordering -> Ordering -> Ordering
+{-# INLINE thenCmp #-}
+thenCmp EQ any = any
+thenCmp other any = other
+
eqListBy :: (a->a->Bool) -> [a] -> [a] -> Bool
eqListBy eq [] [] = True
eqListBy eq (x:xs) (y:ys) = eq x y && eqListBy eq xs ys
compareLength [] _ys = LT
compareLength _xs [] = GT
-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
projects / ghc-hetmet.git / blobdiff