summaryrefslogtreecommitdiff
path: root/testsuite/tests/programs/andy_cherry/GenUtils.hs
blob: 3e1de07fb86521f496be58daa0c43058b8fed65e (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244









module GenUtils (

	trace,

      assocMaybe, assocMaybeErr,
      arrElem,
      arrCond,
      memoise,
      Maybe(..),
      MaybeErr(..),
      mapMaybe,
      mapMaybeFail,
      maybeToBool,
      maybeToObj,
      maybeMap,
      joinMaybe,
      mkClosure,
      foldb,

      mapAccumL,

      sortWith,
      sort,
      cjustify,
      ljustify,
      rjustify,
      space,
      copy,
      combinePairs,
      formatText ) where

import Data.Array -- 1.3
import Data.Ix    -- 1.3

import Debug.Trace ( trace )


-- -------------------------------------------------------------------------

-- Here are two defs that everyone seems to define ... 
-- HBC has it in one of its builtin modules

#if defined(__GLASGOW_HASKELL__) || defined(__GOFER__)

--in 1.3: data Maybe a = Nothing | Just a deriving (Eq,Ord,Text)

#endif

infix 1 =: -- 1.3
type Assoc a b = (a,b) -- 1.3
(=:) a b = (a,b)

mapMaybe :: (a -> Maybe b) -> [a] -> [b]
mapMaybe f [] = []
mapMaybe f (a:r) = case f a of
                      Nothing -> mapMaybe f r
                      Just b  -> b : mapMaybe f r

-- This version returns nothing, if *any* one fails.

mapMaybeFail f (x:xs) = case f x of
			Just x' -> case mapMaybeFail f xs of
				    Just xs' -> Just (x':xs')
				    Nothing -> Nothing
			Nothing -> Nothing
mapMaybeFail f [] = Just []

maybeToBool :: Maybe a -> Bool
maybeToBool (Just _) = True
maybeToBool _        = False

maybeToObj  :: Maybe a -> a
maybeToObj (Just a) = a
maybeToObj _        = error "Trying to extract object from a Nothing"

maybeMap :: (a -> b) -> Maybe a -> Maybe b
maybeMap f (Just a) = Just (f a)
maybeMap f Nothing  = Nothing


joinMaybe :: (a -> a -> a) -> Maybe a -> Maybe a -> Maybe a 
joinMaybe _ Nothing  Nothing  = Nothing
joinMaybe _ (Just g) Nothing  = Just g
joinMaybe _ Nothing  (Just g) = Just g
joinMaybe f (Just g) (Just h) = Just (f g h)

data MaybeErr a err = Succeeded a | Failed err deriving (Eq,Show{-was:Text-})

-- @mkClosure@ makes a closure, when given a comparison and iteration loop. 
-- Be careful, because if the functional always makes the object different, 
-- This will never terminate.

mkClosure :: (a -> a -> Bool) -> (a -> a) -> a -> a
mkClosure eq f = match . iterate f
  where
      match (a:b:c) | a `eq` b = a
      match (_:c)              = match c

-- fold-binary.
-- It combines the element of the list argument in balanced mannerism.

foldb :: (a -> a -> a) -> [a] -> a
foldb f [] = error "can't reduce an empty list using foldb"
foldb f [x] = x
foldb f l  = foldb f (foldb' l)
   where 
      foldb' (x:y:x':y':xs) = f (f x y) (f x' y') : foldb' xs
      foldb' (x:y:xs) = f x y : foldb' xs
      foldb' xs = xs

-- Merge two ordered lists into one ordered list. 

mergeWith               :: (a -> a -> Bool) -> [a] -> [a] -> [a] 
mergeWith _ []     ys      = ys
mergeWith _ xs     []      = xs
mergeWith le (x:xs) (y:ys)
       | x `le` y  = x : mergeWith le xs (y:ys)
       | otherwise = y : mergeWith le (x:xs) ys

insertWith              :: (a -> a -> Bool) -> a -> [a] -> [a]
insertWith _ x []          = [x]
insertWith le x (y:ys)
       | x `le` y     = x:y:ys
       | otherwise    = y:insertWith le x ys

-- Sorting is something almost every program needs, and this is the
-- quickest sorting function I know of.

sortWith :: (a -> a -> Bool) -> [a] -> [a]
sortWith le [] = []
sortWith le lst = foldb (mergeWith le) (splitList lst)
  where
      splitList (a1:a2:a3:a4:a5:xs) = 
               insertWith le a1 
              (insertWith le a2 
              (insertWith le a3
              (insertWith le a4 [a5]))) : splitList xs
      splitList [] = []
      splitList (r:rs) = [foldr (insertWith le) [r] rs]

sort :: (Ord a) => [a] -> [a]
sort = sortWith (<=)

-- Gofer-like stuff:

cjustify, ljustify, rjustify :: Int -> String -> String
cjustify n s = space halfm ++ s ++ space (m - halfm)
               where m     = n - length s
                     halfm = m `div` 2
ljustify n s = s ++ space (max 0 (n - length s))
rjustify n s = space (max 0 (n - length s)) ++ s

space       :: Int -> String
space n      = copy n ' '

copy  :: Int -> a -> [a]      -- make list of n copies of x
copy n x = take n xs where xs = x:xs

combinePairs :: (Ord a) => [(a,b)] -> [(a,[b])]
combinePairs xs = 
	combine [ (a,[b]) | (a,b) <- sortWith (\ (a,_) (b,_) -> a <= b) xs]
 where
	combine [] = []
	combine ((a,b):(c,d):r) | a == c = combine ((a,b++d) : r)
	combine (a:r) = a : combine r

assocMaybe :: (Eq a) => [(a,b)] -> a -> Maybe b
assocMaybe env k = case [ val | (key,val) <- env, k == key] of
               [] -> Nothing
               (val:vs) -> Just val

assocMaybeErr :: (Eq a) => [(a,b)] -> a -> MaybeErr b String
assocMaybeErr env k = case [ val | (key,val) <- env, k == key] of
                       [] -> Failed "assoc: "
                       (val:vs) -> Succeeded val


deSucc (Succeeded e) = e

mapAccumL :: (a -> b -> (c,a)) -> a -> [b] -> ([c],a)
mapAccumL f s [] = ([],s)
mapAccumL f s (b:bs) = (c:cs,s'')
	where
		(c,s') = f s b
		(cs,s'') = mapAccumL f s' bs



-- Now some utilties involving arrays.
-- Here is a version of @elem@ that uses partual application
-- to optimise lookup.

arrElem :: (Ix a) => [a] -> a -> Bool
arrElem obj = \x -> inRange size x && arr ! x 
  where
      size = (maximum obj,minimum obj)
      arr = listArray size [ i `elem` obj | i <- range size ]

-- Here is the functional version of a multi-way conditional,
-- again using arrays, of course. Remember @b@ can be a function !
-- Note again the use of partiual application.

arrCond :: (Ix a) 
        => (a,a)                      -- the bounds
        -> [(Assoc [a] b)]            -- the simple lookups
        -> [(Assoc (a -> Bool) b)]    -- the functional lookups
        -> b                          -- the default
        -> a -> b                     -- the (functional) result

arrCond bds pairs fnPairs def = (!) arr'
  where
      arr' = array bds [ t =: head
                      ([ r | (p, r) <- pairs, elem t p ] ++
                       [ r | (f, r) <- fnPairs, f t ] ++
                       [ def ])
              | t <- range bds ]

memoise :: (Ix a) => (a,a) -> (a -> b) -> a -> b
memoise bds f = (!) arr
  where arr = array bds [ t =: f t | t <- range bds ]

-- Quite neat this. Formats text to fit in a column.

formatText :: Int -> [String] -> [String]
formatText n = map unwords . cutAt n []
  where
	cutAt :: Int -> [String] -> [String] -> [[String]]
	cutAt m wds [] = [reverse wds]
	cutAt m wds (wd:rest) = if len <= m || null wds
			        then cutAt (m-(len+1)) (wd:wds) rest 
				else reverse wds : cutAt n [] (wd:rest)
	  where	len = length wd