1 {-# OPTIONS_GHC -fno-implicit-prelude #-}
2 {-# OPTIONS_HADDOCK hide #-}
3 -----------------------------------------------------------------------------
6 -- Copyright : (c) The University of Glasgow, 1997-2002
7 -- License : see libraries/base/LICENSE
9 -- Maintainer : cvs-ghc@haskell.org
10 -- Stability : internal
11 -- Portability : non-portable (GHC Extensions)
13 -- Sized unsigned integral types: 'Word', 'Word8', 'Word16', 'Word32', and
16 -----------------------------------------------------------------------------
22 Word(..), Word8(..), Word16(..), Word32(..), Word64(..),
23 toEnumError, fromEnumError, succError, predError,
38 ------------------------------------------------------------------------
40 ------------------------------------------------------------------------
42 {-# NOINLINE toEnumError #-}
43 toEnumError :: (Show a) => String -> Int -> (a,a) -> b
44 toEnumError inst_ty i bnds =
45 error $ "Enum.toEnum{" ++ inst_ty ++ "}: tag (" ++
47 ") is outside of bounds " ++
50 {-# NOINLINE fromEnumError #-}
51 fromEnumError :: (Show a) => String -> a -> b
52 fromEnumError inst_ty x =
53 error $ "Enum.fromEnum{" ++ inst_ty ++ "}: value (" ++
55 ") is outside of Int's bounds " ++
56 show (minBound::Int, maxBound::Int)
58 {-# NOINLINE succError #-}
59 succError :: String -> a
61 error $ "Enum.succ{" ++ inst_ty ++ "}: tried to take `succ' of maxBound"
63 {-# NOINLINE predError #-}
64 predError :: String -> a
66 error $ "Enum.pred{" ++ inst_ty ++ "}: tried to take `pred' of minBound"
68 ------------------------------------------------------------------------
70 ------------------------------------------------------------------------
72 -- |A 'Word' is an unsigned integral type, with the same size as 'Int'.
73 data Word = W# Word# deriving (Eq, Ord)
75 instance Show Word where
76 showsPrec p x = showsPrec p (toInteger x)
78 instance Num Word where
79 (W# x#) + (W# y#) = W# (x# `plusWord#` y#)
80 (W# x#) - (W# y#) = W# (x# `minusWord#` y#)
81 (W# x#) * (W# y#) = W# (x# `timesWord#` y#)
82 negate (W# x#) = W# (int2Word# (negateInt# (word2Int# x#)))
86 fromInteger (S# i#) = W# (int2Word# i#)
87 fromInteger (J# s# d#) = W# (integer2Word# s# d#)
89 instance Real Word where
90 toRational x = toInteger x % 1
92 instance Enum Word where
94 | x /= maxBound = x + 1
95 | otherwise = succError "Word"
97 | x /= minBound = x - 1
98 | otherwise = predError "Word"
100 | i >= 0 = W# (int2Word# i#)
101 | otherwise = toEnumError "Word" i (minBound::Word, maxBound::Word)
103 | x <= fromIntegral (maxBound::Int)
105 | otherwise = fromEnumError "Word" x
106 enumFrom = integralEnumFrom
107 enumFromThen = integralEnumFromThen
108 enumFromTo = integralEnumFromTo
109 enumFromThenTo = integralEnumFromThenTo
111 instance Integral Word where
112 quot x@(W# x#) y@(W# y#)
113 | y /= 0 = W# (x# `quotWord#` y#)
114 | otherwise = divZeroError
115 rem x@(W# x#) y@(W# y#)
116 | y /= 0 = W# (x# `remWord#` y#)
117 | otherwise = divZeroError
118 div x@(W# x#) y@(W# y#)
119 | y /= 0 = W# (x# `quotWord#` y#)
120 | otherwise = divZeroError
121 mod x@(W# x#) y@(W# y#)
122 | y /= 0 = W# (x# `remWord#` y#)
123 | otherwise = divZeroError
124 quotRem x@(W# x#) y@(W# y#)
125 | y /= 0 = (W# (x# `quotWord#` y#), W# (x# `remWord#` y#))
126 | otherwise = divZeroError
127 divMod x@(W# x#) y@(W# y#)
128 | y /= 0 = (W# (x# `quotWord#` y#), W# (x# `remWord#` y#))
129 | otherwise = divZeroError
132 | otherwise = case word2Integer# x# of (# s, d #) -> J# s d
136 instance Bounded Word where
139 -- use unboxed literals for maxBound, because GHC doesn't optimise
140 -- (fromInteger 0xffffffff :: Word).
141 #if WORD_SIZE_IN_BITS == 31
142 maxBound = W# (int2Word# 0x7FFFFFFF#)
143 #elif WORD_SIZE_IN_BITS == 32
144 maxBound = W# (int2Word# 0xFFFFFFFF#)
146 maxBound = W# (int2Word# 0xFFFFFFFFFFFFFFFF#)
149 instance Ix Word where
151 unsafeIndex b@(m,_) i = fromIntegral (i - m)
152 inRange (m,n) i = m <= i && i <= n
154 instance Read Word where
155 readsPrec p s = [(fromInteger x, r) | (x, r) <- readsPrec p s]
157 instance Bits Word where
160 (W# x#) .&. (W# y#) = W# (x# `and#` y#)
161 (W# x#) .|. (W# y#) = W# (x# `or#` y#)
162 (W# x#) `xor` (W# y#) = W# (x# `xor#` y#)
163 complement (W# x#) = W# (x# `xor#` mb#) where W# mb# = maxBound
164 (W# x#) `shift` (I# i#)
165 | i# >=# 0# = W# (x# `shiftL#` i#)
166 | otherwise = W# (x# `shiftRL#` negateInt# i#)
167 (W# x#) `rotate` (I# i#)
169 | otherwise = W# ((x# `uncheckedShiftL#` i'#) `or#` (x# `uncheckedShiftRL#` (wsib -# i'#)))
171 i'# = word2Int# (int2Word# i# `and#` int2Word# (wsib -# 1#))
172 wsib = WORD_SIZE_IN_BITS# {- work around preprocessor problem (??) -}
173 bitSize _ = WORD_SIZE_IN_BITS
177 "fromIntegral/Int->Word" fromIntegral = \(I# x#) -> W# (int2Word# x#)
178 "fromIntegral/Word->Int" fromIntegral = \(W# x#) -> I# (word2Int# x#)
179 "fromIntegral/Word->Word" fromIntegral = id :: Word -> Word
182 ------------------------------------------------------------------------
184 ------------------------------------------------------------------------
186 -- Word8 is represented in the same way as Word. Operations may assume
187 -- and must ensure that it holds only values from its logical range.
189 data Word8 = W8# Word# deriving (Eq, Ord)
190 -- ^ 8-bit unsigned integer type
192 instance Show Word8 where
193 showsPrec p x = showsPrec p (fromIntegral x :: Int)
195 instance Num Word8 where
196 (W8# x#) + (W8# y#) = W8# (narrow8Word# (x# `plusWord#` y#))
197 (W8# x#) - (W8# y#) = W8# (narrow8Word# (x# `minusWord#` y#))
198 (W8# x#) * (W8# y#) = W8# (narrow8Word# (x# `timesWord#` y#))
199 negate (W8# x#) = W8# (narrow8Word# (int2Word# (negateInt# (word2Int# x#))))
203 fromInteger (S# i#) = W8# (narrow8Word# (int2Word# i#))
204 fromInteger (J# s# d#) = W8# (narrow8Word# (integer2Word# s# d#))
206 instance Real Word8 where
207 toRational x = toInteger x % 1
209 instance Enum Word8 where
211 | x /= maxBound = x + 1
212 | otherwise = succError "Word8"
214 | x /= minBound = x - 1
215 | otherwise = predError "Word8"
217 | i >= 0 && i <= fromIntegral (maxBound::Word8)
219 | otherwise = toEnumError "Word8" i (minBound::Word8, maxBound::Word8)
220 fromEnum (W8# x#) = I# (word2Int# x#)
221 enumFrom = boundedEnumFrom
222 enumFromThen = boundedEnumFromThen
224 instance Integral Word8 where
225 quot x@(W8# x#) y@(W8# y#)
226 | y /= 0 = W8# (x# `quotWord#` y#)
227 | otherwise = divZeroError
228 rem x@(W8# x#) y@(W8# y#)
229 | y /= 0 = W8# (x# `remWord#` y#)
230 | otherwise = divZeroError
231 div x@(W8# x#) y@(W8# y#)
232 | y /= 0 = W8# (x# `quotWord#` y#)
233 | otherwise = divZeroError
234 mod x@(W8# x#) y@(W8# y#)
235 | y /= 0 = W8# (x# `remWord#` y#)
236 | otherwise = divZeroError
237 quotRem x@(W8# x#) y@(W8# y#)
238 | y /= 0 = (W8# (x# `quotWord#` y#), W8# (x# `remWord#` y#))
239 | otherwise = divZeroError
240 divMod x@(W8# x#) y@(W8# y#)
241 | y /= 0 = (W8# (x# `quotWord#` y#), W8# (x# `remWord#` y#))
242 | otherwise = divZeroError
243 toInteger (W8# x#) = S# (word2Int# x#)
245 instance Bounded Word8 where
249 instance Ix Word8 where
251 unsafeIndex b@(m,_) i = fromIntegral (i - m)
252 inRange (m,n) i = m <= i && i <= n
254 instance Read Word8 where
255 readsPrec p s = [(fromIntegral (x::Int), r) | (x, r) <- readsPrec p s]
257 instance Bits Word8 where
260 (W8# x#) .&. (W8# y#) = W8# (x# `and#` y#)
261 (W8# x#) .|. (W8# y#) = W8# (x# `or#` y#)
262 (W8# x#) `xor` (W8# y#) = W8# (x# `xor#` y#)
263 complement (W8# x#) = W8# (x# `xor#` mb#) where W8# mb# = maxBound
264 (W8# x#) `shift` (I# i#)
265 | i# >=# 0# = W8# (narrow8Word# (x# `shiftL#` i#))
266 | otherwise = W8# (x# `shiftRL#` negateInt# i#)
267 (W8# x#) `rotate` (I# i#)
268 | i'# ==# 0# = W8# x#
269 | otherwise = W8# (narrow8Word# ((x# `uncheckedShiftL#` i'#) `or#`
270 (x# `uncheckedShiftRL#` (8# -# i'#))))
272 i'# = word2Int# (int2Word# i# `and#` int2Word# 7#)
277 "fromIntegral/Word8->Word8" fromIntegral = id :: Word8 -> Word8
278 "fromIntegral/Word8->Integer" fromIntegral = toInteger :: Word8 -> Integer
279 "fromIntegral/a->Word8" fromIntegral = \x -> case fromIntegral x of W# x# -> W8# (narrow8Word# x#)
280 "fromIntegral/Word8->a" fromIntegral = \(W8# x#) -> fromIntegral (W# x#)
283 ------------------------------------------------------------------------
285 ------------------------------------------------------------------------
287 -- Word16 is represented in the same way as Word. Operations may assume
288 -- and must ensure that it holds only values from its logical range.
290 data Word16 = W16# Word# deriving (Eq, Ord)
291 -- ^ 16-bit unsigned integer type
293 instance Show Word16 where
294 showsPrec p x = showsPrec p (fromIntegral x :: Int)
296 instance Num Word16 where
297 (W16# x#) + (W16# y#) = W16# (narrow16Word# (x# `plusWord#` y#))
298 (W16# x#) - (W16# y#) = W16# (narrow16Word# (x# `minusWord#` y#))
299 (W16# x#) * (W16# y#) = W16# (narrow16Word# (x# `timesWord#` y#))
300 negate (W16# x#) = W16# (narrow16Word# (int2Word# (negateInt# (word2Int# x#))))
304 fromInteger (S# i#) = W16# (narrow16Word# (int2Word# i#))
305 fromInteger (J# s# d#) = W16# (narrow16Word# (integer2Word# s# d#))
307 instance Real Word16 where
308 toRational x = toInteger x % 1
310 instance Enum Word16 where
312 | x /= maxBound = x + 1
313 | otherwise = succError "Word16"
315 | x /= minBound = x - 1
316 | otherwise = predError "Word16"
318 | i >= 0 && i <= fromIntegral (maxBound::Word16)
319 = W16# (int2Word# i#)
320 | otherwise = toEnumError "Word16" i (minBound::Word16, maxBound::Word16)
321 fromEnum (W16# x#) = I# (word2Int# x#)
322 enumFrom = boundedEnumFrom
323 enumFromThen = boundedEnumFromThen
325 instance Integral Word16 where
326 quot x@(W16# x#) y@(W16# y#)
327 | y /= 0 = W16# (x# `quotWord#` y#)
328 | otherwise = divZeroError
329 rem x@(W16# x#) y@(W16# y#)
330 | y /= 0 = W16# (x# `remWord#` y#)
331 | otherwise = divZeroError
332 div x@(W16# x#) y@(W16# y#)
333 | y /= 0 = W16# (x# `quotWord#` y#)
334 | otherwise = divZeroError
335 mod x@(W16# x#) y@(W16# y#)
336 | y /= 0 = W16# (x# `remWord#` y#)
337 | otherwise = divZeroError
338 quotRem x@(W16# x#) y@(W16# y#)
339 | y /= 0 = (W16# (x# `quotWord#` y#), W16# (x# `remWord#` y#))
340 | otherwise = divZeroError
341 divMod x@(W16# x#) y@(W16# y#)
342 | y /= 0 = (W16# (x# `quotWord#` y#), W16# (x# `remWord#` y#))
343 | otherwise = divZeroError
344 toInteger (W16# x#) = S# (word2Int# x#)
346 instance Bounded Word16 where
350 instance Ix Word16 where
352 unsafeIndex b@(m,_) i = fromIntegral (i - m)
353 inRange (m,n) i = m <= i && i <= n
355 instance Read Word16 where
356 readsPrec p s = [(fromIntegral (x::Int), r) | (x, r) <- readsPrec p s]
358 instance Bits Word16 where
361 (W16# x#) .&. (W16# y#) = W16# (x# `and#` y#)
362 (W16# x#) .|. (W16# y#) = W16# (x# `or#` y#)
363 (W16# x#) `xor` (W16# y#) = W16# (x# `xor#` y#)
364 complement (W16# x#) = W16# (x# `xor#` mb#) where W16# mb# = maxBound
365 (W16# x#) `shift` (I# i#)
366 | i# >=# 0# = W16# (narrow16Word# (x# `shiftL#` i#))
367 | otherwise = W16# (x# `shiftRL#` negateInt# i#)
368 (W16# x#) `rotate` (I# i#)
369 | i'# ==# 0# = W16# x#
370 | otherwise = W16# (narrow16Word# ((x# `uncheckedShiftL#` i'#) `or#`
371 (x# `uncheckedShiftRL#` (16# -# i'#))))
373 i'# = word2Int# (int2Word# i# `and#` int2Word# 15#)
378 "fromIntegral/Word8->Word16" fromIntegral = \(W8# x#) -> W16# x#
379 "fromIntegral/Word16->Word16" fromIntegral = id :: Word16 -> Word16
380 "fromIntegral/Word16->Integer" fromIntegral = toInteger :: Word16 -> Integer
381 "fromIntegral/a->Word16" fromIntegral = \x -> case fromIntegral x of W# x# -> W16# (narrow16Word# x#)
382 "fromIntegral/Word16->a" fromIntegral = \(W16# x#) -> fromIntegral (W# x#)
385 ------------------------------------------------------------------------
387 ------------------------------------------------------------------------
389 #if WORD_SIZE_IN_BITS < 32
391 data Word32 = W32# Word32#
392 -- ^ 32-bit unsigned integer type
394 instance Eq Word32 where
395 (W32# x#) == (W32# y#) = x# `eqWord32#` y#
396 (W32# x#) /= (W32# y#) = x# `neWord32#` y#
398 instance Ord Word32 where
399 (W32# x#) < (W32# y#) = x# `ltWord32#` y#
400 (W32# x#) <= (W32# y#) = x# `leWord32#` y#
401 (W32# x#) > (W32# y#) = x# `gtWord32#` y#
402 (W32# x#) >= (W32# y#) = x# `geWord32#` y#
404 instance Num Word32 where
405 (W32# x#) + (W32# y#) = W32# (int32ToWord32# (word32ToInt32# x# `plusInt32#` word32ToInt32# y#))
406 (W32# x#) - (W32# y#) = W32# (int32ToWord32# (word32ToInt32# x# `minusInt32#` word32ToInt32# y#))
407 (W32# x#) * (W32# y#) = W32# (int32ToWord32# (word32ToInt32# x# `timesInt32#` word32ToInt32# y#))
408 negate (W32# x#) = W32# (int32ToWord32# (negateInt32# (word32ToInt32# x#)))
412 fromInteger (S# i#) = W32# (int32ToWord32# (intToInt32# i#))
413 fromInteger (J# s# d#) = W32# (integerToWord32# s# d#)
415 instance Enum Word32 where
417 | x /= maxBound = x + 1
418 | otherwise = succError "Word32"
420 | x /= minBound = x - 1
421 | otherwise = predError "Word32"
423 | i >= 0 = W32# (wordToWord32# (int2Word# i#))
424 | otherwise = toEnumError "Word32" i (minBound::Word32, maxBound::Word32)
426 | x <= fromIntegral (maxBound::Int)
427 = I# (word2Int# (word32ToWord# x#))
428 | otherwise = fromEnumError "Word32" x
429 enumFrom = integralEnumFrom
430 enumFromThen = integralEnumFromThen
431 enumFromTo = integralEnumFromTo
432 enumFromThenTo = integralEnumFromThenTo
434 instance Integral Word32 where
435 quot x@(W32# x#) y@(W32# y#)
436 | y /= 0 = W32# (x# `quotWord32#` y#)
437 | otherwise = divZeroError
438 rem x@(W32# x#) y@(W32# y#)
439 | y /= 0 = W32# (x# `remWord32#` y#)
440 | otherwise = divZeroError
441 div x@(W32# x#) y@(W32# y#)
442 | y /= 0 = W32# (x# `quotWord32#` y#)
443 | otherwise = divZeroError
444 mod x@(W32# x#) y@(W32# y#)
445 | y /= 0 = W32# (x# `remWord32#` y#)
446 | otherwise = divZeroError
447 quotRem x@(W32# x#) y@(W32# y#)
448 | y /= 0 = (W32# (x# `quotWord32#` y#), W32# (x# `remWord32#` y#))
449 | otherwise = divZeroError
450 divMod x@(W32# x#) y@(W32# y#)
451 | y /= 0 = (W32# (x# `quotWord32#` y#), W32# (x# `remWord32#` y#))
452 | otherwise = divZeroError
453 toInteger x@(W32# x#)
454 | x <= fromIntegral (maxBound::Int) = S# (word2Int# (word32ToWord# x#))
455 | otherwise = case word32ToInteger# x# of (# s, d #) -> J# s d
457 instance Bits Word32 where
460 (W32# x#) .&. (W32# y#) = W32# (x# `and32#` y#)
461 (W32# x#) .|. (W32# y#) = W32# (x# `or32#` y#)
462 (W32# x#) `xor` (W32# y#) = W32# (x# `xor32#` y#)
463 complement (W32# x#) = W32# (not32# x#)
464 (W32# x#) `shift` (I# i#)
465 | i# >=# 0# = W32# (x# `shiftL32#` i#)
466 | otherwise = W32# (x# `shiftRL32#` negateInt# i#)
467 (W32# x#) `rotate` (I# i#)
468 | i'# ==# 0# = W32# x#
469 | otherwise = W32# ((x# `shiftL32#` i'#) `or32#`
470 (x# `shiftRL32#` (32# -# i'#)))
472 i'# = word2Int# (int2Word# i# `and#` int2Word# 31#)
476 foreign import unsafe "stg_eqWord32" eqWord32# :: Word32# -> Word32# -> Bool
477 foreign import unsafe "stg_neWord32" neWord32# :: Word32# -> Word32# -> Bool
478 foreign import unsafe "stg_ltWord32" ltWord32# :: Word32# -> Word32# -> Bool
479 foreign import unsafe "stg_leWord32" leWord32# :: Word32# -> Word32# -> Bool
480 foreign import unsafe "stg_gtWord32" gtWord32# :: Word32# -> Word32# -> Bool
481 foreign import unsafe "stg_geWord32" geWord32# :: Word32# -> Word32# -> Bool
482 foreign import unsafe "stg_int32ToWord32" int32ToWord32# :: Int32# -> Word32#
483 foreign import unsafe "stg_word32ToInt32" word32ToInt32# :: Word32# -> Int32#
484 foreign import unsafe "stg_intToInt32" intToInt32# :: Int# -> Int32#
485 foreign import unsafe "stg_wordToWord32" wordToWord32# :: Word# -> Word32#
486 foreign import unsafe "stg_word32ToWord" word32ToWord# :: Word32# -> Word#
487 foreign import unsafe "stg_plusInt32" plusInt32# :: Int32# -> Int32# -> Int32#
488 foreign import unsafe "stg_minusInt32" minusInt32# :: Int32# -> Int32# -> Int32#
489 foreign import unsafe "stg_timesInt32" timesInt32# :: Int32# -> Int32# -> Int32#
490 foreign import unsafe "stg_negateInt32" negateInt32# :: Int32# -> Int32#
491 foreign import unsafe "stg_quotWord32" quotWord32# :: Word32# -> Word32# -> Word32#
492 foreign import unsafe "stg_remWord32" remWord32# :: Word32# -> Word32# -> Word32#
493 foreign import unsafe "stg_and32" and32# :: Word32# -> Word32# -> Word32#
494 foreign import unsafe "stg_or32" or32# :: Word32# -> Word32# -> Word32#
495 foreign import unsafe "stg_xor32" xor32# :: Word32# -> Word32# -> Word32#
496 foreign import unsafe "stg_not32" not32# :: Word32# -> Word32#
497 foreign import unsafe "stg_shiftL32" shiftL32# :: Word32# -> Int# -> Word32#
498 foreign import unsafe "stg_shiftRL32" shiftRL32# :: Word32# -> Int# -> Word32#
501 "fromIntegral/Int->Word32" fromIntegral = \(I# x#) -> W32# (int32ToWord32# (intToInt32# x#))
502 "fromIntegral/Word->Word32" fromIntegral = \(W# x#) -> W32# (wordToWord32# x#)
503 "fromIntegral/Word32->Int" fromIntegral = \(W32# x#) -> I# (word2Int# (word32ToWord# x#))
504 "fromIntegral/Word32->Word" fromIntegral = \(W32# x#) -> W# (word32ToWord# x#)
505 "fromIntegral/Word32->Word32" fromIntegral = id :: Word32 -> Word32
510 -- Word32 is represented in the same way as Word.
511 #if WORD_SIZE_IN_BITS > 32
512 -- Operations may assume and must ensure that it holds only values
513 -- from its logical range.
516 data Word32 = W32# Word# deriving (Eq, Ord)
517 -- ^ 32-bit unsigned integer type
519 instance Num Word32 where
520 (W32# x#) + (W32# y#) = W32# (narrow32Word# (x# `plusWord#` y#))
521 (W32# x#) - (W32# y#) = W32# (narrow32Word# (x# `minusWord#` y#))
522 (W32# x#) * (W32# y#) = W32# (narrow32Word# (x# `timesWord#` y#))
523 negate (W32# x#) = W32# (narrow32Word# (int2Word# (negateInt# (word2Int# x#))))
527 fromInteger (S# i#) = W32# (narrow32Word# (int2Word# i#))
528 fromInteger (J# s# d#) = W32# (narrow32Word# (integer2Word# s# d#))
530 instance Enum Word32 where
532 | x /= maxBound = x + 1
533 | otherwise = succError "Word32"
535 | x /= minBound = x - 1
536 | otherwise = predError "Word32"
539 #if WORD_SIZE_IN_BITS > 32
540 && i <= fromIntegral (maxBound::Word32)
542 = W32# (int2Word# i#)
543 | otherwise = toEnumError "Word32" i (minBound::Word32, maxBound::Word32)
544 #if WORD_SIZE_IN_BITS == 32
546 | x <= fromIntegral (maxBound::Int)
548 | otherwise = fromEnumError "Word32" x
549 enumFrom = integralEnumFrom
550 enumFromThen = integralEnumFromThen
551 enumFromTo = integralEnumFromTo
552 enumFromThenTo = integralEnumFromThenTo
554 fromEnum (W32# x#) = I# (word2Int# x#)
555 enumFrom = boundedEnumFrom
556 enumFromThen = boundedEnumFromThen
559 instance Integral Word32 where
560 quot x@(W32# x#) y@(W32# y#)
561 | y /= 0 = W32# (x# `quotWord#` y#)
562 | otherwise = divZeroError
563 rem x@(W32# x#) y@(W32# y#)
564 | y /= 0 = W32# (x# `remWord#` y#)
565 | otherwise = divZeroError
566 div x@(W32# x#) y@(W32# y#)
567 | y /= 0 = W32# (x# `quotWord#` y#)
568 | otherwise = divZeroError
569 mod x@(W32# x#) y@(W32# y#)
570 | y /= 0 = W32# (x# `remWord#` y#)
571 | otherwise = divZeroError
572 quotRem x@(W32# x#) y@(W32# y#)
573 | y /= 0 = (W32# (x# `quotWord#` y#), W32# (x# `remWord#` y#))
574 | otherwise = divZeroError
575 divMod x@(W32# x#) y@(W32# y#)
576 | y /= 0 = (W32# (x# `quotWord#` y#), W32# (x# `remWord#` y#))
577 | otherwise = divZeroError
579 #if WORD_SIZE_IN_BITS == 32
581 | otherwise = case word2Integer# x# of (# s, d #) -> J# s d
588 instance Bits Word32 where
591 (W32# x#) .&. (W32# y#) = W32# (x# `and#` y#)
592 (W32# x#) .|. (W32# y#) = W32# (x# `or#` y#)
593 (W32# x#) `xor` (W32# y#) = W32# (x# `xor#` y#)
594 complement (W32# x#) = W32# (x# `xor#` mb#) where W32# mb# = maxBound
595 (W32# x#) `shift` (I# i#)
596 | i# >=# 0# = W32# (narrow32Word# (x# `shiftL#` i#))
597 | otherwise = W32# (x# `shiftRL#` negateInt# i#)
598 (W32# x#) `rotate` (I# i#)
599 | i'# ==# 0# = W32# x#
600 | otherwise = W32# (narrow32Word# ((x# `uncheckedShiftL#` i'#) `or#`
601 (x# `uncheckedShiftRL#` (32# -# i'#))))
603 i'# = word2Int# (int2Word# i# `and#` int2Word# 31#)
608 "fromIntegral/Word8->Word32" fromIntegral = \(W8# x#) -> W32# x#
609 "fromIntegral/Word16->Word32" fromIntegral = \(W16# x#) -> W32# x#
610 "fromIntegral/Word32->Word32" fromIntegral = id :: Word32 -> Word32
611 "fromIntegral/Word32->Integer" fromIntegral = toInteger :: Word32 -> Integer
612 "fromIntegral/a->Word32" fromIntegral = \x -> case fromIntegral x of W# x# -> W32# (narrow32Word# x#)
613 "fromIntegral/Word32->a" fromIntegral = \(W32# x#) -> fromIntegral (W# x#)
618 instance Show Word32 where
619 #if WORD_SIZE_IN_BITS < 33
620 showsPrec p x = showsPrec p (toInteger x)
622 showsPrec p x = showsPrec p (fromIntegral x :: Int)
626 instance Real Word32 where
627 toRational x = toInteger x % 1
629 instance Bounded Word32 where
631 maxBound = 0xFFFFFFFF
633 instance Ix Word32 where
635 unsafeIndex b@(m,_) i = fromIntegral (i - m)
636 inRange (m,n) i = m <= i && i <= n
638 instance Read Word32 where
639 #if WORD_SIZE_IN_BITS < 33
640 readsPrec p s = [(fromInteger x, r) | (x, r) <- readsPrec p s]
642 readsPrec p s = [(fromIntegral (x::Int), r) | (x, r) <- readsPrec p s]
645 ------------------------------------------------------------------------
647 ------------------------------------------------------------------------
649 #if WORD_SIZE_IN_BITS < 64
651 data Word64 = W64# Word64#
652 -- ^ 64-bit unsigned integer type
654 instance Eq Word64 where
655 (W64# x#) == (W64# y#) = x# `eqWord64#` y#
656 (W64# x#) /= (W64# y#) = x# `neWord64#` y#
658 instance Ord Word64 where
659 (W64# x#) < (W64# y#) = x# `ltWord64#` y#
660 (W64# x#) <= (W64# y#) = x# `leWord64#` y#
661 (W64# x#) > (W64# y#) = x# `gtWord64#` y#
662 (W64# x#) >= (W64# y#) = x# `geWord64#` y#
664 instance Num Word64 where
665 (W64# x#) + (W64# y#) = W64# (int64ToWord64# (word64ToInt64# x# `plusInt64#` word64ToInt64# y#))
666 (W64# x#) - (W64# y#) = W64# (int64ToWord64# (word64ToInt64# x# `minusInt64#` word64ToInt64# y#))
667 (W64# x#) * (W64# y#) = W64# (int64ToWord64# (word64ToInt64# x# `timesInt64#` word64ToInt64# y#))
668 negate (W64# x#) = W64# (int64ToWord64# (negateInt64# (word64ToInt64# x#)))
672 fromInteger (S# i#) = W64# (int64ToWord64# (intToInt64# i#))
673 fromInteger (J# s# d#) = W64# (integerToWord64# s# d#)
675 instance Enum Word64 where
677 | x /= maxBound = x + 1
678 | otherwise = succError "Word64"
680 | x /= minBound = x - 1
681 | otherwise = predError "Word64"
683 | i >= 0 = W64# (wordToWord64# (int2Word# i#))
684 | otherwise = toEnumError "Word64" i (minBound::Word64, maxBound::Word64)
686 | x <= fromIntegral (maxBound::Int)
687 = I# (word2Int# (word64ToWord# x#))
688 | otherwise = fromEnumError "Word64" x
689 enumFrom = integralEnumFrom
690 enumFromThen = integralEnumFromThen
691 enumFromTo = integralEnumFromTo
692 enumFromThenTo = integralEnumFromThenTo
694 instance Integral Word64 where
695 quot x@(W64# x#) y@(W64# y#)
696 | y /= 0 = W64# (x# `quotWord64#` y#)
697 | otherwise = divZeroError
698 rem x@(W64# x#) y@(W64# y#)
699 | y /= 0 = W64# (x# `remWord64#` y#)
700 | otherwise = divZeroError
701 div x@(W64# x#) y@(W64# y#)
702 | y /= 0 = W64# (x# `quotWord64#` y#)
703 | otherwise = divZeroError
704 mod x@(W64# x#) y@(W64# y#)
705 | y /= 0 = W64# (x# `remWord64#` y#)
706 | otherwise = divZeroError
707 quotRem x@(W64# x#) y@(W64# y#)
708 | y /= 0 = (W64# (x# `quotWord64#` y#), W64# (x# `remWord64#` y#))
709 | otherwise = divZeroError
710 divMod x@(W64# x#) y@(W64# y#)
711 | y /= 0 = (W64# (x# `quotWord64#` y#), W64# (x# `remWord64#` y#))
712 | otherwise = divZeroError
713 toInteger x@(W64# x#)
714 | x <= 0x7FFFFFFF = S# (word2Int# (word64ToWord# x#))
715 | otherwise = case word64ToInteger# x# of (# s, d #) -> J# s d
717 instance Bits Word64 where
720 (W64# x#) .&. (W64# y#) = W64# (x# `and64#` y#)
721 (W64# x#) .|. (W64# y#) = W64# (x# `or64#` y#)
722 (W64# x#) `xor` (W64# y#) = W64# (x# `xor64#` y#)
723 complement (W64# x#) = W64# (not64# x#)
724 (W64# x#) `shift` (I# i#)
725 | i# >=# 0# = W64# (x# `shiftL64#` i#)
726 | otherwise = W64# (x# `shiftRL64#` negateInt# i#)
727 (W64# x#) `rotate` (I# i#)
728 | i'# ==# 0# = W64# x#
729 | otherwise = W64# ((x# `uncheckedShiftL64#` i'#) `or64#`
730 (x# `uncheckedShiftRL64#` (64# -# i'#)))
732 i'# = word2Int# (int2Word# i# `and#` int2Word# 63#)
736 -- give the 64-bit shift operations the same treatment as the 32-bit
737 -- ones (see GHC.Base), namely we wrap them in tests to catch the
738 -- cases when we're shifting more than 64 bits to avoid unspecified
739 -- behaviour in the C shift operations.
741 shiftL64#, shiftRL64# :: Word64# -> Int# -> Word64#
743 a `shiftL64#` b | b >=# 64# = wordToWord64# (int2Word# 0#)
744 | otherwise = a `uncheckedShiftL64#` b
746 a `shiftRL64#` b | b >=# 64# = wordToWord64# (int2Word# 0#)
747 | otherwise = a `uncheckedShiftRL64#` b
750 foreign import ccall unsafe "hs_eqWord64" eqWord64# :: Word64# -> Word64# -> Bool
751 foreign import ccall unsafe "hs_neWord64" neWord64# :: Word64# -> Word64# -> Bool
752 foreign import ccall unsafe "hs_ltWord64" ltWord64# :: Word64# -> Word64# -> Bool
753 foreign import ccall unsafe "hs_leWord64" leWord64# :: Word64# -> Word64# -> Bool
754 foreign import ccall unsafe "hs_gtWord64" gtWord64# :: Word64# -> Word64# -> Bool
755 foreign import ccall unsafe "hs_geWord64" geWord64# :: Word64# -> Word64# -> Bool
756 foreign import ccall unsafe "hs_int64ToWord64" int64ToWord64# :: Int64# -> Word64#
757 foreign import ccall unsafe "hs_word64ToInt64" word64ToInt64# :: Word64# -> Int64#
758 foreign import ccall unsafe "hs_intToInt64" intToInt64# :: Int# -> Int64#
759 foreign import ccall unsafe "hs_wordToWord64" wordToWord64# :: Word# -> Word64#
760 foreign import ccall unsafe "hs_word64ToWord" word64ToWord# :: Word64# -> Word#
761 foreign import ccall unsafe "hs_plusInt64" plusInt64# :: Int64# -> Int64# -> Int64#
762 foreign import ccall unsafe "hs_minusInt64" minusInt64# :: Int64# -> Int64# -> Int64#
763 foreign import ccall unsafe "hs_timesInt64" timesInt64# :: Int64# -> Int64# -> Int64#
764 foreign import ccall unsafe "hs_negateInt64" negateInt64# :: Int64# -> Int64#
765 foreign import ccall unsafe "hs_quotWord64" quotWord64# :: Word64# -> Word64# -> Word64#
766 foreign import ccall unsafe "hs_remWord64" remWord64# :: Word64# -> Word64# -> Word64#
767 foreign import ccall unsafe "hs_and64" and64# :: Word64# -> Word64# -> Word64#
768 foreign import ccall unsafe "hs_or64" or64# :: Word64# -> Word64# -> Word64#
769 foreign import ccall unsafe "hs_xor64" xor64# :: Word64# -> Word64# -> Word64#
770 foreign import ccall unsafe "hs_not64" not64# :: Word64# -> Word64#
771 foreign import ccall unsafe "hs_uncheckedShiftL64" uncheckedShiftL64# :: Word64# -> Int# -> Word64#
772 foreign import ccall unsafe "hs_uncheckedShiftRL64" uncheckedShiftRL64# :: Word64# -> Int# -> Word64#
774 foreign import ccall unsafe "hs_integerToWord64" integerToWord64# :: Int# -> ByteArray# -> Word64#
778 "fromIntegral/Int->Word64" fromIntegral = \(I# x#) -> W64# (int64ToWord64# (intToInt64# x#))
779 "fromIntegral/Word->Word64" fromIntegral = \(W# x#) -> W64# (wordToWord64# x#)
780 "fromIntegral/Word64->Int" fromIntegral = \(W64# x#) -> I# (word2Int# (word64ToWord# x#))
781 "fromIntegral/Word64->Word" fromIntegral = \(W64# x#) -> W# (word64ToWord# x#)
782 "fromIntegral/Word64->Word64" fromIntegral = id :: Word64 -> Word64
787 -- Word64 is represented in the same way as Word.
788 -- Operations may assume and must ensure that it holds only values
789 -- from its logical range.
791 data Word64 = W64# Word# deriving (Eq, Ord)
792 -- ^ 64-bit unsigned integer type
794 instance Num Word64 where
795 (W64# x#) + (W64# y#) = W64# (x# `plusWord#` y#)
796 (W64# x#) - (W64# y#) = W64# (x# `minusWord#` y#)
797 (W64# x#) * (W64# y#) = W64# (x# `timesWord#` y#)
798 negate (W64# x#) = W64# (int2Word# (negateInt# (word2Int# x#)))
802 fromInteger (S# i#) = W64# (int2Word# i#)
803 fromInteger (J# s# d#) = W64# (integer2Word# s# d#)
805 instance Enum Word64 where
807 | x /= maxBound = x + 1
808 | otherwise = succError "Word64"
810 | x /= minBound = x - 1
811 | otherwise = predError "Word64"
813 | i >= 0 = W64# (int2Word# i#)
814 | otherwise = toEnumError "Word64" i (minBound::Word64, maxBound::Word64)
816 | x <= fromIntegral (maxBound::Int)
818 | otherwise = fromEnumError "Word64" x
819 enumFrom = integralEnumFrom
820 enumFromThen = integralEnumFromThen
821 enumFromTo = integralEnumFromTo
822 enumFromThenTo = integralEnumFromThenTo
824 instance Integral Word64 where
825 quot x@(W64# x#) y@(W64# y#)
826 | y /= 0 = W64# (x# `quotWord#` y#)
827 | otherwise = divZeroError
828 rem x@(W64# x#) y@(W64# y#)
829 | y /= 0 = W64# (x# `remWord#` y#)
830 | otherwise = divZeroError
831 div x@(W64# x#) y@(W64# y#)
832 | y /= 0 = W64# (x# `quotWord#` y#)
833 | otherwise = divZeroError
834 mod x@(W64# x#) y@(W64# y#)
835 | y /= 0 = W64# (x# `remWord#` y#)
836 | otherwise = divZeroError
837 quotRem x@(W64# x#) y@(W64# y#)
838 | y /= 0 = (W64# (x# `quotWord#` y#), W64# (x# `remWord#` y#))
839 | otherwise = divZeroError
840 divMod x@(W64# x#) y@(W64# y#)
841 | y /= 0 = (W64# (x# `quotWord#` y#), W64# (x# `remWord#` y#))
842 | otherwise = divZeroError
845 | otherwise = case word2Integer# x# of (# s, d #) -> J# s d
849 instance Bits Word64 where
852 (W64# x#) .&. (W64# y#) = W64# (x# `and#` y#)
853 (W64# x#) .|. (W64# y#) = W64# (x# `or#` y#)
854 (W64# x#) `xor` (W64# y#) = W64# (x# `xor#` y#)
855 complement (W64# x#) = W64# (x# `xor#` mb#) where W64# mb# = maxBound
856 (W64# x#) `shift` (I# i#)
857 | i# >=# 0# = W64# (x# `shiftL#` i#)
858 | otherwise = W64# (x# `shiftRL#` negateInt# i#)
859 (W64# x#) `rotate` (I# i#)
860 | i'# ==# 0# = W64# x#
861 | otherwise = W64# ((x# `uncheckedShiftL#` i'#) `or#`
862 (x# `uncheckedShiftRL#` (64# -# i'#)))
864 i'# = word2Int# (int2Word# i# `and#` int2Word# 63#)
869 "fromIntegral/a->Word64" fromIntegral = \x -> case fromIntegral x of W# x# -> W64# x#
870 "fromIntegral/Word64->a" fromIntegral = \(W64# x#) -> fromIntegral (W# x#)
873 uncheckedShiftL64# = uncheckedShiftL#
874 uncheckedShiftRL64# = uncheckedShiftRL#
878 instance Show Word64 where
879 showsPrec p x = showsPrec p (toInteger x)
881 instance Real Word64 where
882 toRational x = toInteger x % 1
884 instance Bounded Word64 where
886 maxBound = 0xFFFFFFFFFFFFFFFF
888 instance Ix Word64 where
890 unsafeIndex b@(m,_) i = fromIntegral (i - m)
891 inRange (m,n) i = m <= i && i <= n
893 instance Read Word64 where
894 readsPrec p s = [(fromInteger x, r) | (x, r) <- readsPrec p s]