1 {-# OPTIONS_GHC -fno-implicit-prelude #-}
2 -----------------------------------------------------------------------------
5 -- Copyright : (c) The University of Glasgow, 1997-2002
6 -- License : see libraries/base/LICENSE
8 -- Maintainer : cvs-ghc@haskell.org
9 -- Stability : internal
10 -- Portability : non-portable (GHC Extensions)
12 -- Sized unsigned integral types: 'Word', 'Word8', 'Word16', 'Word32', and
15 -----------------------------------------------------------------------------
21 Word(..), Word8(..), Word16(..), Word32(..), Word64(..),
22 toEnumError, fromEnumError, succError, predError)
27 import {-# SOURCE #-} GHC.Err
36 ------------------------------------------------------------------------
38 ------------------------------------------------------------------------
40 {-# NOINLINE toEnumError #-}
41 toEnumError :: (Show a) => String -> Int -> (a,a) -> b
42 toEnumError inst_ty i bnds =
43 error $ "Enum.toEnum{" ++ inst_ty ++ "}: tag (" ++
45 ") is outside of bounds " ++
48 {-# NOINLINE fromEnumError #-}
49 fromEnumError :: (Show a) => String -> a -> b
50 fromEnumError inst_ty x =
51 error $ "Enum.fromEnum{" ++ inst_ty ++ "}: value (" ++
53 ") is outside of Int's bounds " ++
54 show (minBound::Int, maxBound::Int)
56 {-# NOINLINE succError #-}
57 succError :: String -> a
59 error $ "Enum.succ{" ++ inst_ty ++ "}: tried to take `succ' of maxBound"
61 {-# NOINLINE predError #-}
62 predError :: String -> a
64 error $ "Enum.pred{" ++ inst_ty ++ "}: tried to take `pred' of minBound"
66 ------------------------------------------------------------------------
68 ------------------------------------------------------------------------
70 -- |A 'Word' is an unsigned integral type, with the same size as 'Int'.
71 data Word = W# Word# deriving (Eq, Ord)
73 instance Show Word where
74 showsPrec p x = showsPrec p (toInteger x)
76 instance Num Word where
77 (W# x#) + (W# y#) = W# (x# `plusWord#` y#)
78 (W# x#) - (W# y#) = W# (x# `minusWord#` y#)
79 (W# x#) * (W# y#) = W# (x# `timesWord#` y#)
80 negate (W# x#) = W# (int2Word# (negateInt# (word2Int# x#)))
84 fromInteger (S# i#) = W# (int2Word# i#)
85 fromInteger (J# s# d#) = W# (integer2Word# s# d#)
87 instance Real Word where
88 toRational x = toInteger x % 1
90 instance Enum Word where
92 | x /= maxBound = x + 1
93 | otherwise = succError "Word"
95 | x /= minBound = x - 1
96 | otherwise = predError "Word"
98 | i >= 0 = W# (int2Word# i#)
99 | otherwise = toEnumError "Word" i (minBound::Word, maxBound::Word)
101 | x <= fromIntegral (maxBound::Int)
103 | otherwise = fromEnumError "Word" x
104 enumFrom = integralEnumFrom
105 enumFromThen = integralEnumFromThen
106 enumFromTo = integralEnumFromTo
107 enumFromThenTo = integralEnumFromThenTo
109 instance Integral Word where
110 quot x@(W# x#) y@(W# y#)
111 | y /= 0 = W# (x# `quotWord#` y#)
112 | otherwise = divZeroError
113 rem x@(W# x#) y@(W# y#)
114 | y /= 0 = W# (x# `remWord#` y#)
115 | otherwise = divZeroError
116 div x@(W# x#) y@(W# y#)
117 | y /= 0 = W# (x# `quotWord#` y#)
118 | otherwise = divZeroError
119 mod x@(W# x#) y@(W# y#)
120 | y /= 0 = W# (x# `remWord#` y#)
121 | otherwise = divZeroError
122 quotRem x@(W# x#) y@(W# y#)
123 | y /= 0 = (W# (x# `quotWord#` y#), W# (x# `remWord#` y#))
124 | otherwise = divZeroError
125 divMod x@(W# x#) y@(W# y#)
126 | y /= 0 = (W# (x# `quotWord#` y#), W# (x# `remWord#` y#))
127 | otherwise = divZeroError
130 | otherwise = case word2Integer# x# of (# s, d #) -> J# s d
134 instance Bounded Word where
137 -- use unboxed literals for maxBound, because GHC doesn't optimise
138 -- (fromInteger 0xffffffff :: Word).
139 #if WORD_SIZE_IN_BITS == 31
140 maxBound = W# (int2Word# 0x7FFFFFFF#)
141 #elif WORD_SIZE_IN_BITS == 32
142 maxBound = W# (int2Word# 0xFFFFFFFF#)
144 maxBound = W# (int2Word# 0xFFFFFFFFFFFFFFFF#)
147 instance Ix Word where
149 unsafeIndex b@(m,_) i = fromIntegral (i - m)
150 inRange (m,n) i = m <= i && i <= n
151 unsafeRangeSize b@(_l,h) = unsafeIndex b h + 1
153 instance Read Word where
154 readsPrec p s = [(fromInteger x, r) | (x, r) <- readsPrec p s]
156 instance Bits Word where
157 (W# x#) .&. (W# y#) = W# (x# `and#` y#)
158 (W# x#) .|. (W# y#) = W# (x# `or#` y#)
159 (W# x#) `xor` (W# y#) = W# (x# `xor#` y#)
160 complement (W# x#) = W# (x# `xor#` mb#) where W# mb# = maxBound
161 (W# x#) `shift` (I# i#)
162 | i# >=# 0# = W# (x# `shiftL#` i#)
163 | otherwise = W# (x# `shiftRL#` negateInt# i#)
164 (W# x#) `rotate` (I# i#)
166 | otherwise = W# ((x# `shiftL#` i'#) `or#` (x# `shiftRL#` (wsib -# i'#)))
168 i'# = word2Int# (int2Word# i# `and#` int2Word# (wsib -# 1#))
169 wsib = WORD_SIZE_IN_BITS# {- work around preprocessor problem (??) -}
170 bitSize _ = WORD_SIZE_IN_BITS
174 "fromIntegral/Int->Word" fromIntegral = \(I# x#) -> W# (int2Word# x#)
175 "fromIntegral/Word->Int" fromIntegral = \(W# x#) -> I# (word2Int# x#)
176 "fromIntegral/Word->Word" fromIntegral = id :: Word -> Word
179 ------------------------------------------------------------------------
181 ------------------------------------------------------------------------
183 -- Word8 is represented in the same way as Word. Operations may assume
184 -- and must ensure that it holds only values from its logical range.
186 data Word8 = W8# Word# deriving (Eq, Ord)
187 -- ^ 8-bit unsigned integer type
189 instance Show Word8 where
190 showsPrec p x = showsPrec p (fromIntegral x :: Int)
192 instance Num Word8 where
193 (W8# x#) + (W8# y#) = W8# (narrow8Word# (x# `plusWord#` y#))
194 (W8# x#) - (W8# y#) = W8# (narrow8Word# (x# `minusWord#` y#))
195 (W8# x#) * (W8# y#) = W8# (narrow8Word# (x# `timesWord#` y#))
196 negate (W8# x#) = W8# (narrow8Word# (int2Word# (negateInt# (word2Int# x#))))
200 fromInteger (S# i#) = W8# (narrow8Word# (int2Word# i#))
201 fromInteger (J# s# d#) = W8# (narrow8Word# (integer2Word# s# d#))
203 instance Real Word8 where
204 toRational x = toInteger x % 1
206 instance Enum Word8 where
208 | x /= maxBound = x + 1
209 | otherwise = succError "Word8"
211 | x /= minBound = x - 1
212 | otherwise = predError "Word8"
214 | i >= 0 && i <= fromIntegral (maxBound::Word8)
216 | otherwise = toEnumError "Word8" i (minBound::Word8, maxBound::Word8)
217 fromEnum (W8# x#) = I# (word2Int# x#)
218 enumFrom = boundedEnumFrom
219 enumFromThen = boundedEnumFromThen
221 instance Integral Word8 where
222 quot x@(W8# x#) y@(W8# y#)
223 | y /= 0 = W8# (x# `quotWord#` y#)
224 | otherwise = divZeroError
225 rem x@(W8# x#) y@(W8# y#)
226 | y /= 0 = W8# (x# `remWord#` y#)
227 | otherwise = divZeroError
228 div x@(W8# x#) y@(W8# y#)
229 | y /= 0 = W8# (x# `quotWord#` y#)
230 | otherwise = divZeroError
231 mod x@(W8# x#) y@(W8# y#)
232 | y /= 0 = W8# (x# `remWord#` y#)
233 | otherwise = divZeroError
234 quotRem x@(W8# x#) y@(W8# y#)
235 | y /= 0 = (W8# (x# `quotWord#` y#), W8# (x# `remWord#` y#))
236 | otherwise = divZeroError
237 divMod x@(W8# x#) y@(W8# y#)
238 | y /= 0 = (W8# (x# `quotWord#` y#), W8# (x# `remWord#` y#))
239 | otherwise = divZeroError
240 toInteger (W8# x#) = S# (word2Int# x#)
242 instance Bounded Word8 where
246 instance Ix Word8 where
248 unsafeIndex b@(m,_) i = fromIntegral (i - m)
249 inRange (m,n) i = m <= i && i <= n
250 unsafeRangeSize b@(_l,h) = unsafeIndex b h + 1
252 instance Read Word8 where
253 readsPrec p s = [(fromIntegral (x::Int), r) | (x, r) <- readsPrec p s]
255 instance Bits Word8 where
256 (W8# x#) .&. (W8# y#) = W8# (x# `and#` y#)
257 (W8# x#) .|. (W8# y#) = W8# (x# `or#` y#)
258 (W8# x#) `xor` (W8# y#) = W8# (x# `xor#` y#)
259 complement (W8# x#) = W8# (x# `xor#` mb#) where W8# mb# = maxBound
260 (W8# x#) `shift` (I# i#)
261 | i# >=# 0# = W8# (narrow8Word# (x# `shiftL#` i#))
262 | otherwise = W8# (x# `shiftRL#` negateInt# i#)
263 (W8# x#) `rotate` (I# i#)
264 | i'# ==# 0# = W8# x#
265 | otherwise = W8# (narrow8Word# ((x# `shiftL#` i'#) `or#`
266 (x# `shiftRL#` (8# -# i'#))))
268 i'# = word2Int# (int2Word# i# `and#` int2Word# 7#)
273 "fromIntegral/Word8->Word8" fromIntegral = id :: Word8 -> Word8
274 "fromIntegral/Word8->Integer" fromIntegral = toInteger :: Word8 -> Integer
275 "fromIntegral/a->Word8" fromIntegral = \x -> case fromIntegral x of W# x# -> W8# (narrow8Word# x#)
276 "fromIntegral/Word8->a" fromIntegral = \(W8# x#) -> fromIntegral (W# x#)
279 ------------------------------------------------------------------------
281 ------------------------------------------------------------------------
283 -- Word16 is represented in the same way as Word. Operations may assume
284 -- and must ensure that it holds only values from its logical range.
286 data Word16 = W16# Word# deriving (Eq, Ord)
287 -- ^ 16-bit unsigned integer type
289 instance Show Word16 where
290 showsPrec p x = showsPrec p (fromIntegral x :: Int)
292 instance Num Word16 where
293 (W16# x#) + (W16# y#) = W16# (narrow16Word# (x# `plusWord#` y#))
294 (W16# x#) - (W16# y#) = W16# (narrow16Word# (x# `minusWord#` y#))
295 (W16# x#) * (W16# y#) = W16# (narrow16Word# (x# `timesWord#` y#))
296 negate (W16# x#) = W16# (narrow16Word# (int2Word# (negateInt# (word2Int# x#))))
300 fromInteger (S# i#) = W16# (narrow16Word# (int2Word# i#))
301 fromInteger (J# s# d#) = W16# (narrow16Word# (integer2Word# s# d#))
303 instance Real Word16 where
304 toRational x = toInteger x % 1
306 instance Enum Word16 where
308 | x /= maxBound = x + 1
309 | otherwise = succError "Word16"
311 | x /= minBound = x - 1
312 | otherwise = predError "Word16"
314 | i >= 0 && i <= fromIntegral (maxBound::Word16)
315 = W16# (int2Word# i#)
316 | otherwise = toEnumError "Word16" i (minBound::Word16, maxBound::Word16)
317 fromEnum (W16# x#) = I# (word2Int# x#)
318 enumFrom = boundedEnumFrom
319 enumFromThen = boundedEnumFromThen
321 instance Integral Word16 where
322 quot x@(W16# x#) y@(W16# y#)
323 | y /= 0 = W16# (x# `quotWord#` y#)
324 | otherwise = divZeroError
325 rem x@(W16# x#) y@(W16# y#)
326 | y /= 0 = W16# (x# `remWord#` y#)
327 | otherwise = divZeroError
328 div x@(W16# x#) y@(W16# y#)
329 | y /= 0 = W16# (x# `quotWord#` y#)
330 | otherwise = divZeroError
331 mod x@(W16# x#) y@(W16# y#)
332 | y /= 0 = W16# (x# `remWord#` y#)
333 | otherwise = divZeroError
334 quotRem x@(W16# x#) y@(W16# y#)
335 | y /= 0 = (W16# (x# `quotWord#` y#), W16# (x# `remWord#` y#))
336 | otherwise = divZeroError
337 divMod x@(W16# x#) y@(W16# y#)
338 | y /= 0 = (W16# (x# `quotWord#` y#), W16# (x# `remWord#` y#))
339 | otherwise = divZeroError
340 toInteger (W16# x#) = S# (word2Int# x#)
342 instance Bounded Word16 where
346 instance Ix Word16 where
348 unsafeIndex b@(m,_) i = fromIntegral (i - m)
349 inRange (m,n) i = m <= i && i <= n
350 unsafeRangeSize b@(_l,h) = unsafeIndex b h + 1
352 instance Read Word16 where
353 readsPrec p s = [(fromIntegral (x::Int), r) | (x, r) <- readsPrec p s]
355 instance Bits Word16 where
356 (W16# x#) .&. (W16# y#) = W16# (x# `and#` y#)
357 (W16# x#) .|. (W16# y#) = W16# (x# `or#` y#)
358 (W16# x#) `xor` (W16# y#) = W16# (x# `xor#` y#)
359 complement (W16# x#) = W16# (x# `xor#` mb#) where W16# mb# = maxBound
360 (W16# x#) `shift` (I# i#)
361 | i# >=# 0# = W16# (narrow16Word# (x# `shiftL#` i#))
362 | otherwise = W16# (x# `shiftRL#` negateInt# i#)
363 (W16# x#) `rotate` (I# i#)
364 | i'# ==# 0# = W16# x#
365 | otherwise = W16# (narrow16Word# ((x# `shiftL#` i'#) `or#`
366 (x# `shiftRL#` (16# -# i'#))))
368 i'# = word2Int# (int2Word# i# `and#` int2Word# 15#)
373 "fromIntegral/Word8->Word16" fromIntegral = \(W8# x#) -> W16# x#
374 "fromIntegral/Word16->Word16" fromIntegral = id :: Word16 -> Word16
375 "fromIntegral/Word16->Integer" fromIntegral = toInteger :: Word16 -> Integer
376 "fromIntegral/a->Word16" fromIntegral = \x -> case fromIntegral x of W# x# -> W16# (narrow16Word# x#)
377 "fromIntegral/Word16->a" fromIntegral = \(W16# x#) -> fromIntegral (W# x#)
380 ------------------------------------------------------------------------
382 ------------------------------------------------------------------------
384 #if WORD_SIZE_IN_BITS < 32
386 data Word32 = W32# Word32#
387 -- ^ 32-bit unsigned integer type
389 instance Eq Word32 where
390 (W32# x#) == (W32# y#) = x# `eqWord32#` y#
391 (W32# x#) /= (W32# y#) = x# `neWord32#` y#
393 instance Ord Word32 where
394 (W32# x#) < (W32# y#) = x# `ltWord32#` y#
395 (W32# x#) <= (W32# y#) = x# `leWord32#` y#
396 (W32# x#) > (W32# y#) = x# `gtWord32#` y#
397 (W32# x#) >= (W32# y#) = x# `geWord32#` y#
399 instance Num Word32 where
400 (W32# x#) + (W32# y#) = W32# (int32ToWord32# (word32ToInt32# x# `plusInt32#` word32ToInt32# y#))
401 (W32# x#) - (W32# y#) = W32# (int32ToWord32# (word32ToInt32# x# `minusInt32#` word32ToInt32# y#))
402 (W32# x#) * (W32# y#) = W32# (int32ToWord32# (word32ToInt32# x# `timesInt32#` word32ToInt32# y#))
403 negate (W32# x#) = W32# (int32ToWord32# (negateInt32# (word32ToInt32# x#)))
407 fromInteger (S# i#) = W32# (int32ToWord32# (intToInt32# i#))
408 fromInteger (J# s# d#) = W32# (integerToWord32# s# d#)
410 instance Enum Word32 where
412 | x /= maxBound = x + 1
413 | otherwise = succError "Word32"
415 | x /= minBound = x - 1
416 | otherwise = predError "Word32"
418 | i >= 0 = W32# (wordToWord32# (int2Word# i#))
419 | otherwise = toEnumError "Word32" i (minBound::Word32, maxBound::Word32)
421 | x <= fromIntegral (maxBound::Int)
422 = I# (word2Int# (word32ToWord# x#))
423 | otherwise = fromEnumError "Word32" x
424 enumFrom = integralEnumFrom
425 enumFromThen = integralEnumFromThen
426 enumFromTo = integralEnumFromTo
427 enumFromThenTo = integralEnumFromThenTo
429 instance Integral Word32 where
430 quot x@(W32# x#) y@(W32# y#)
431 | y /= 0 = W32# (x# `quotWord32#` y#)
432 | otherwise = divZeroError
433 rem x@(W32# x#) y@(W32# y#)
434 | y /= 0 = W32# (x# `remWord32#` y#)
435 | otherwise = divZeroError
436 div x@(W32# x#) y@(W32# y#)
437 | y /= 0 = W32# (x# `quotWord32#` y#)
438 | otherwise = divZeroError
439 mod x@(W32# x#) y@(W32# y#)
440 | y /= 0 = W32# (x# `remWord32#` y#)
441 | otherwise = divZeroError
442 quotRem x@(W32# x#) y@(W32# y#)
443 | y /= 0 = (W32# (x# `quotWord32#` y#), W32# (x# `remWord32#` y#))
444 | otherwise = divZeroError
445 divMod x@(W32# x#) y@(W32# y#)
446 | y /= 0 = (W32# (x# `quotWord32#` y#), W32# (x# `remWord32#` y#))
447 | otherwise = divZeroError
448 toInteger x@(W32# x#)
449 | x <= fromIntegral (maxBound::Int) = S# (word2Int# (word32ToWord# x#))
450 | otherwise = case word32ToInteger# x# of (# s, d #) -> J# s d
452 instance Bits Word32 where
453 (W32# x#) .&. (W32# y#) = W32# (x# `and32#` y#)
454 (W32# x#) .|. (W32# y#) = W32# (x# `or32#` y#)
455 (W32# x#) `xor` (W32# y#) = W32# (x# `xor32#` y#)
456 complement (W32# x#) = W32# (not32# x#)
457 (W32# x#) `shift` (I# i#)
458 | i# >=# 0# = W32# (x# `shiftL32#` i#)
459 | otherwise = W32# (x# `shiftRL32#` negateInt# i#)
460 (W32# x#) `rotate` (I# i#)
461 | i'# ==# 0# = W32# x#
462 | otherwise = W32# ((x# `shiftL32#` i'#) `or32#`
463 (x# `shiftRL32#` (32# -# i'#)))
465 i'# = word2Int# (int2Word# i# `and#` int2Word# 31#)
469 foreign import unsafe "stg_eqWord32" eqWord32# :: Word32# -> Word32# -> Bool
470 foreign import unsafe "stg_neWord32" neWord32# :: Word32# -> Word32# -> Bool
471 foreign import unsafe "stg_ltWord32" ltWord32# :: Word32# -> Word32# -> Bool
472 foreign import unsafe "stg_leWord32" leWord32# :: Word32# -> Word32# -> Bool
473 foreign import unsafe "stg_gtWord32" gtWord32# :: Word32# -> Word32# -> Bool
474 foreign import unsafe "stg_geWord32" geWord32# :: Word32# -> Word32# -> Bool
475 foreign import unsafe "stg_int32ToWord32" int32ToWord32# :: Int32# -> Word32#
476 foreign import unsafe "stg_word32ToInt32" word32ToInt32# :: Word32# -> Int32#
477 foreign import unsafe "stg_intToInt32" intToInt32# :: Int# -> Int32#
478 foreign import unsafe "stg_wordToWord32" wordToWord32# :: Word# -> Word32#
479 foreign import unsafe "stg_word32ToWord" word32ToWord# :: Word32# -> Word#
480 foreign import unsafe "stg_plusInt32" plusInt32# :: Int32# -> Int32# -> Int32#
481 foreign import unsafe "stg_minusInt32" minusInt32# :: Int32# -> Int32# -> Int32#
482 foreign import unsafe "stg_timesInt32" timesInt32# :: Int32# -> Int32# -> Int32#
483 foreign import unsafe "stg_negateInt32" negateInt32# :: Int32# -> Int32#
484 foreign import unsafe "stg_quotWord32" quotWord32# :: Word32# -> Word32# -> Word32#
485 foreign import unsafe "stg_remWord32" remWord32# :: Word32# -> Word32# -> Word32#
486 foreign import unsafe "stg_and32" and32# :: Word32# -> Word32# -> Word32#
487 foreign import unsafe "stg_or32" or32# :: Word32# -> Word32# -> Word32#
488 foreign import unsafe "stg_xor32" xor32# :: Word32# -> Word32# -> Word32#
489 foreign import unsafe "stg_not32" not32# :: Word32# -> Word32#
490 foreign import unsafe "stg_shiftL32" shiftL32# :: Word32# -> Int# -> Word32#
491 foreign import unsafe "stg_shiftRL32" shiftRL32# :: Word32# -> Int# -> Word32#
494 "fromIntegral/Int->Word32" fromIntegral = \(I# x#) -> W32# (int32ToWord32# (intToInt32# x#))
495 "fromIntegral/Word->Word32" fromIntegral = \(W# x#) -> W32# (wordToWord32# x#)
496 "fromIntegral/Word32->Int" fromIntegral = \(W32# x#) -> I# (word2Int# (word32ToWord# x#))
497 "fromIntegral/Word32->Word" fromIntegral = \(W32# x#) -> W# (word32ToWord# x#)
498 "fromIntegral/Word32->Word32" fromIntegral = id :: Word32 -> Word32
503 -- Word32 is represented in the same way as Word.
504 #if WORD_SIZE_IN_BITS > 32
505 -- Operations may assume and must ensure that it holds only values
506 -- from its logical range.
509 data Word32 = W32# Word# deriving (Eq, Ord)
510 -- ^ 32-bit unsigned integer type
512 instance Num Word32 where
513 (W32# x#) + (W32# y#) = W32# (narrow32Word# (x# `plusWord#` y#))
514 (W32# x#) - (W32# y#) = W32# (narrow32Word# (x# `minusWord#` y#))
515 (W32# x#) * (W32# y#) = W32# (narrow32Word# (x# `timesWord#` y#))
516 negate (W32# x#) = W32# (narrow32Word# (int2Word# (negateInt# (word2Int# x#))))
520 fromInteger (S# i#) = W32# (narrow32Word# (int2Word# i#))
521 fromInteger (J# s# d#) = W32# (narrow32Word# (integer2Word# s# d#))
523 instance Enum Word32 where
525 | x /= maxBound = x + 1
526 | otherwise = succError "Word32"
528 | x /= minBound = x - 1
529 | otherwise = predError "Word32"
532 #if WORD_SIZE_IN_BITS > 32
533 && i <= fromIntegral (maxBound::Word32)
535 = W32# (int2Word# i#)
536 | otherwise = toEnumError "Word32" i (minBound::Word32, maxBound::Word32)
537 #if WORD_SIZE_IN_BITS == 32
539 | x <= fromIntegral (maxBound::Int)
541 | otherwise = fromEnumError "Word32" x
542 enumFrom = integralEnumFrom
543 enumFromThen = integralEnumFromThen
544 enumFromTo = integralEnumFromTo
545 enumFromThenTo = integralEnumFromThenTo
547 fromEnum (W32# x#) = I# (word2Int# x#)
548 enumFrom = boundedEnumFrom
549 enumFromThen = boundedEnumFromThen
552 instance Integral Word32 where
553 quot x@(W32# x#) y@(W32# y#)
554 | y /= 0 = W32# (x# `quotWord#` y#)
555 | otherwise = divZeroError
556 rem x@(W32# x#) y@(W32# y#)
557 | y /= 0 = W32# (x# `remWord#` y#)
558 | otherwise = divZeroError
559 div x@(W32# x#) y@(W32# y#)
560 | y /= 0 = W32# (x# `quotWord#` y#)
561 | otherwise = divZeroError
562 mod x@(W32# x#) y@(W32# y#)
563 | y /= 0 = W32# (x# `remWord#` y#)
564 | otherwise = divZeroError
565 quotRem x@(W32# x#) y@(W32# y#)
566 | y /= 0 = (W32# (x# `quotWord#` y#), W32# (x# `remWord#` y#))
567 | otherwise = divZeroError
568 divMod x@(W32# x#) y@(W32# y#)
569 | y /= 0 = (W32# (x# `quotWord#` y#), W32# (x# `remWord#` y#))
570 | otherwise = divZeroError
572 #if WORD_SIZE_IN_BITS == 32
574 | otherwise = case word2Integer# x# of (# s, d #) -> J# s d
581 instance Bits Word32 where
582 (W32# x#) .&. (W32# y#) = W32# (x# `and#` y#)
583 (W32# x#) .|. (W32# y#) = W32# (x# `or#` y#)
584 (W32# x#) `xor` (W32# y#) = W32# (x# `xor#` y#)
585 complement (W32# x#) = W32# (x# `xor#` mb#) where W32# mb# = maxBound
586 (W32# x#) `shift` (I# i#)
587 | i# >=# 0# = W32# (narrow32Word# (x# `shiftL#` i#))
588 | otherwise = W32# (x# `shiftRL#` negateInt# i#)
589 (W32# x#) `rotate` (I# i#)
590 | i'# ==# 0# = W32# x#
591 | otherwise = W32# (narrow32Word# ((x# `shiftL#` i'#) `or#`
592 (x# `shiftRL#` (32# -# i'#))))
594 i'# = word2Int# (int2Word# i# `and#` int2Word# 31#)
599 "fromIntegral/Word8->Word32" fromIntegral = \(W8# x#) -> W32# x#
600 "fromIntegral/Word16->Word32" fromIntegral = \(W16# x#) -> W32# x#
601 "fromIntegral/Word32->Word32" fromIntegral = id :: Word32 -> Word32
602 "fromIntegral/Word32->Integer" fromIntegral = toInteger :: Word32 -> Integer
603 "fromIntegral/a->Word32" fromIntegral = \x -> case fromIntegral x of W# x# -> W32# (narrow32Word# x#)
604 "fromIntegral/Word32->a" fromIntegral = \(W32# x#) -> fromIntegral (W# x#)
609 instance Show Word32 where
610 #if WORD_SIZE_IN_BITS < 33
611 showsPrec p x = showsPrec p (toInteger x)
613 showsPrec p x = showsPrec p (fromIntegral x :: Int)
617 instance Real Word32 where
618 toRational x = toInteger x % 1
620 instance Bounded Word32 where
622 maxBound = 0xFFFFFFFF
624 instance Ix Word32 where
626 unsafeIndex b@(m,_) i = fromIntegral (i - m)
627 inRange (m,n) i = m <= i && i <= n
628 unsafeRangeSize b@(_l,h) = unsafeIndex b h + 1
630 instance Read Word32 where
631 #if WORD_SIZE_IN_BITS < 33
632 readsPrec p s = [(fromInteger x, r) | (x, r) <- readsPrec p s]
634 readsPrec p s = [(fromIntegral (x::Int), r) | (x, r) <- readsPrec p s]
637 ------------------------------------------------------------------------
639 ------------------------------------------------------------------------
641 #if WORD_SIZE_IN_BITS < 64
643 data Word64 = W64# Word64#
644 -- ^ 64-bit unsigned integer type
646 instance Eq Word64 where
647 (W64# x#) == (W64# y#) = x# `eqWord64#` y#
648 (W64# x#) /= (W64# y#) = x# `neWord64#` y#
650 instance Ord Word64 where
651 (W64# x#) < (W64# y#) = x# `ltWord64#` y#
652 (W64# x#) <= (W64# y#) = x# `leWord64#` y#
653 (W64# x#) > (W64# y#) = x# `gtWord64#` y#
654 (W64# x#) >= (W64# y#) = x# `geWord64#` y#
656 instance Num Word64 where
657 (W64# x#) + (W64# y#) = W64# (int64ToWord64# (word64ToInt64# x# `plusInt64#` word64ToInt64# y#))
658 (W64# x#) - (W64# y#) = W64# (int64ToWord64# (word64ToInt64# x# `minusInt64#` word64ToInt64# y#))
659 (W64# x#) * (W64# y#) = W64# (int64ToWord64# (word64ToInt64# x# `timesInt64#` word64ToInt64# y#))
660 negate (W64# x#) = W64# (int64ToWord64# (negateInt64# (word64ToInt64# x#)))
664 fromInteger (S# i#) = W64# (int64ToWord64# (intToInt64# i#))
665 fromInteger (J# s# d#) = W64# (integerToWord64# s# d#)
667 instance Enum Word64 where
669 | x /= maxBound = x + 1
670 | otherwise = succError "Word64"
672 | x /= minBound = x - 1
673 | otherwise = predError "Word64"
675 | i >= 0 = W64# (wordToWord64# (int2Word# i#))
676 | otherwise = toEnumError "Word64" i (minBound::Word64, maxBound::Word64)
678 | x <= fromIntegral (maxBound::Int)
679 = I# (word2Int# (word64ToWord# x#))
680 | otherwise = fromEnumError "Word64" x
681 enumFrom = integralEnumFrom
682 enumFromThen = integralEnumFromThen
683 enumFromTo = integralEnumFromTo
684 enumFromThenTo = integralEnumFromThenTo
686 instance Integral Word64 where
687 quot x@(W64# x#) y@(W64# y#)
688 | y /= 0 = W64# (x# `quotWord64#` y#)
689 | otherwise = divZeroError
690 rem x@(W64# x#) y@(W64# y#)
691 | y /= 0 = W64# (x# `remWord64#` y#)
692 | otherwise = divZeroError
693 div x@(W64# x#) y@(W64# y#)
694 | y /= 0 = W64# (x# `quotWord64#` y#)
695 | otherwise = divZeroError
696 mod x@(W64# x#) y@(W64# y#)
697 | y /= 0 = W64# (x# `remWord64#` y#)
698 | otherwise = divZeroError
699 quotRem x@(W64# x#) y@(W64# y#)
700 | y /= 0 = (W64# (x# `quotWord64#` y#), W64# (x# `remWord64#` y#))
701 | otherwise = divZeroError
702 divMod x@(W64# x#) y@(W64# y#)
703 | y /= 0 = (W64# (x# `quotWord64#` y#), W64# (x# `remWord64#` y#))
704 | otherwise = divZeroError
705 toInteger x@(W64# x#)
706 | x <= 0x7FFFFFFF = S# (word2Int# (word64ToWord# x#))
707 | otherwise = case word64ToInteger# x# of (# s, d #) -> J# s d
709 instance Bits Word64 where
710 (W64# x#) .&. (W64# y#) = W64# (x# `and64#` y#)
711 (W64# x#) .|. (W64# y#) = W64# (x# `or64#` y#)
712 (W64# x#) `xor` (W64# y#) = W64# (x# `xor64#` y#)
713 complement (W64# x#) = W64# (not64# x#)
714 (W64# x#) `shift` (I# i#)
715 | i# >=# 0# = W64# (x# `shiftL64#` i#)
716 | otherwise = W64# (x# `shiftRL64#` negateInt# i#)
717 (W64# x#) `rotate` (I# i#)
718 | i'# ==# 0# = W64# x#
719 | otherwise = W64# ((x# `uncheckedShiftL64#` i'#) `or64#`
720 (x# `uncheckedShiftRL64#` (64# -# i'#)))
722 i'# = word2Int# (int2Word# i# `and#` int2Word# 63#)
726 -- give the 64-bit shift operations the same treatment as the 32-bit
727 -- ones (see GHC.Base), namely we wrap them in tests to catch the
728 -- cases when we're shifting more than 64 bits to avoid unspecified
729 -- behaviour in the C shift operations.
731 shiftL64#, shiftRL64# :: Word64# -> Int# -> Word64#
733 a `shiftL64#` b | b >=# 64# = wordToWord64# (int2Word# 0#)
734 | otherwise = a `uncheckedShiftL64#` b
736 a `shiftRL64#` b | b >=# 64# = wordToWord64# (int2Word# 0#)
737 | otherwise = a `uncheckedShiftRL64#` b
740 foreign import ccall unsafe "stg_eqWord64" eqWord64# :: Word64# -> Word64# -> Bool
741 foreign import ccall unsafe "stg_neWord64" neWord64# :: Word64# -> Word64# -> Bool
742 foreign import ccall unsafe "stg_ltWord64" ltWord64# :: Word64# -> Word64# -> Bool
743 foreign import ccall unsafe "stg_leWord64" leWord64# :: Word64# -> Word64# -> Bool
744 foreign import ccall unsafe "stg_gtWord64" gtWord64# :: Word64# -> Word64# -> Bool
745 foreign import ccall unsafe "stg_geWord64" geWord64# :: Word64# -> Word64# -> Bool
746 foreign import ccall unsafe "stg_int64ToWord64" int64ToWord64# :: Int64# -> Word64#
747 foreign import ccall unsafe "stg_word64ToInt64" word64ToInt64# :: Word64# -> Int64#
748 foreign import ccall unsafe "stg_intToInt64" intToInt64# :: Int# -> Int64#
749 foreign import ccall unsafe "stg_wordToWord64" wordToWord64# :: Word# -> Word64#
750 foreign import ccall unsafe "stg_word64ToWord" word64ToWord# :: Word64# -> Word#
751 foreign import ccall unsafe "stg_plusInt64" plusInt64# :: Int64# -> Int64# -> Int64#
752 foreign import ccall unsafe "stg_minusInt64" minusInt64# :: Int64# -> Int64# -> Int64#
753 foreign import ccall unsafe "stg_timesInt64" timesInt64# :: Int64# -> Int64# -> Int64#
754 foreign import ccall unsafe "stg_negateInt64" negateInt64# :: Int64# -> Int64#
755 foreign import ccall unsafe "stg_quotWord64" quotWord64# :: Word64# -> Word64# -> Word64#
756 foreign import ccall unsafe "stg_remWord64" remWord64# :: Word64# -> Word64# -> Word64#
757 foreign import ccall unsafe "stg_and64" and64# :: Word64# -> Word64# -> Word64#
758 foreign import ccall unsafe "stg_or64" or64# :: Word64# -> Word64# -> Word64#
759 foreign import ccall unsafe "stg_xor64" xor64# :: Word64# -> Word64# -> Word64#
760 foreign import ccall unsafe "stg_not64" not64# :: Word64# -> Word64#
761 foreign import ccall unsafe "stg_uncheckedShiftL64" uncheckedShiftL64# :: Word64# -> Int# -> Word64#
762 foreign import ccall unsafe "stg_uncheckedShiftRL64" uncheckedShiftRL64# :: Word64# -> Int# -> Word64#
764 foreign import ccall unsafe "stg_integerToWord64" integerToWord64# :: Int# -> ByteArray# -> Word64#
768 "fromIntegral/Int->Word64" fromIntegral = \(I# x#) -> W64# (int64ToWord64# (intToInt64# x#))
769 "fromIntegral/Word->Word64" fromIntegral = \(W# x#) -> W64# (wordToWord64# x#)
770 "fromIntegral/Word64->Int" fromIntegral = \(W64# x#) -> I# (word2Int# (word64ToWord# x#))
771 "fromIntegral/Word64->Word" fromIntegral = \(W64# x#) -> W# (word64ToWord# x#)
772 "fromIntegral/Word64->Word64" fromIntegral = id :: Word64 -> Word64
777 -- Word64 is represented in the same way as Word.
778 -- Operations may assume and must ensure that it holds only values
779 -- from its logical range.
781 data Word64 = W64# Word# deriving (Eq, Ord)
782 -- ^ 64-bit unsigned integer type
784 instance Num Word64 where
785 (W64# x#) + (W64# y#) = W64# (x# `plusWord#` y#)
786 (W64# x#) - (W64# y#) = W64# (x# `minusWord#` y#)
787 (W64# x#) * (W64# y#) = W64# (x# `timesWord#` y#)
788 negate (W64# x#) = W64# (int2Word# (negateInt# (word2Int# x#)))
792 fromInteger (S# i#) = W64# (int2Word# i#)
793 fromInteger (J# s# d#) = W64# (integer2Word# s# d#)
795 instance Enum Word64 where
797 | x /= maxBound = x + 1
798 | otherwise = succError "Word64"
800 | x /= minBound = x - 1
801 | otherwise = predError "Word64"
803 | i >= 0 = W64# (int2Word# i#)
804 | otherwise = toEnumError "Word64" i (minBound::Word64, maxBound::Word64)
806 | x <= fromIntegral (maxBound::Int)
808 | otherwise = fromEnumError "Word64" x
809 enumFrom = integralEnumFrom
810 enumFromThen = integralEnumFromThen
811 enumFromTo = integralEnumFromTo
812 enumFromThenTo = integralEnumFromThenTo
814 instance Integral Word64 where
815 quot x@(W64# x#) y@(W64# y#)
816 | y /= 0 = W64# (x# `quotWord#` y#)
817 | otherwise = divZeroError
818 rem x@(W64# x#) y@(W64# y#)
819 | y /= 0 = W64# (x# `remWord#` y#)
820 | otherwise = divZeroError
821 div x@(W64# x#) y@(W64# y#)
822 | y /= 0 = W64# (x# `quotWord#` y#)
823 | otherwise = divZeroError
824 mod x@(W64# x#) y@(W64# y#)
825 | y /= 0 = W64# (x# `remWord#` y#)
826 | otherwise = divZeroError
827 quotRem x@(W64# x#) y@(W64# y#)
828 | y /= 0 = (W64# (x# `quotWord#` y#), W64# (x# `remWord#` y#))
829 | otherwise = divZeroError
830 divMod x@(W64# x#) y@(W64# y#)
831 | y /= 0 = (W64# (x# `quotWord#` y#), W64# (x# `remWord#` y#))
832 | otherwise = divZeroError
835 | otherwise = case word2Integer# x# of (# s, d #) -> J# s d
839 instance Bits Word64 where
840 (W64# x#) .&. (W64# y#) = W64# (x# `and#` y#)
841 (W64# x#) .|. (W64# y#) = W64# (x# `or#` y#)
842 (W64# x#) `xor` (W64# y#) = W64# (x# `xor#` y#)
843 complement (W64# x#) = W64# (x# `xor#` mb#) where W64# mb# = maxBound
844 (W64# x#) `shift` (I# i#)
845 | i# >=# 0# = W64# (x# `shiftL#` i#)
846 | otherwise = W64# (x# `shiftRL#` negateInt# i#)
847 (W64# x#) `rotate` (I# i#)
848 | i'# ==# 0# = W64# x#
849 | otherwise = W64# ((x# `shiftL#` i'#) `or#`
850 (x# `shiftRL#` (64# -# i'#)))
852 i'# = word2Int# (int2Word# i# `and#` int2Word# 63#)
857 "fromIntegral/a->Word64" fromIntegral = \x -> case fromIntegral x of W# x# -> W64# x#
858 "fromIntegral/Word64->a" fromIntegral = \(W64# x#) -> fromIntegral (W# x#)
863 instance Show Word64 where
864 showsPrec p x = showsPrec p (toInteger x)
866 instance Real Word64 where
867 toRational x = toInteger x % 1
869 instance Bounded Word64 where
871 maxBound = 0xFFFFFFFFFFFFFFFF
873 instance Ix Word64 where
875 unsafeIndex b@(m,_) i = fromIntegral (i - m)
876 inRange (m,n) i = m <= i && i <= n
877 unsafeRangeSize b@(_l,h) = unsafeIndex b h + 1
879 instance Read Word64 where
880 readsPrec p s = [(fromInteger x, r) | (x, r) <- readsPrec p s]