2 % (c) The University of Glasgow, 2000
4 \section[PrelInt]{Module @PrelInt@}
7 {-# OPTIONS -monly-3-regs #-}
11 Int8(..), Int16(..), Int32(..), Int64(..)
13 , intToInt8 -- :: Int -> Int8
14 , intToInt16 -- :: Int -> Int16
15 , intToInt32 -- :: Int -> Int32
16 , intToInt64 -- :: Int -> Int64
18 , integerToInt8 -- :: Integer -> Int8
19 , integerToInt16 -- :: Integer -> Int16
20 , integerToInt32 -- :: Integer -> Int32
21 , integerToInt64 -- :: Integer -> Int64
23 , int8ToInt -- :: Int8 -> Int
24 , int8ToInteger -- :: Int8 -> Integer
25 , int8ToInt16 -- :: Int8 -> Int16
26 , int8ToInt32 -- :: Int8 -> Int32
27 , int8ToInt64 -- :: Int8 -> Int64
29 , int16ToInt -- :: Int16 -> Int
30 , int16ToInteger -- :: Int16 -> Integer
31 , int16ToInt8 -- :: Int16 -> Int8
32 , int16ToInt32 -- :: Int16 -> Int32
33 , int16ToInt64 -- :: Int16 -> Int64
35 , int32ToInt -- :: Int32 -> Int
36 , int32ToInteger -- :: Int32 -> Integer
37 , int32ToInt8 -- :: Int32 -> Int8
38 , int32ToInt16 -- :: Int32 -> Int16
39 , int32ToInt64 -- :: Int32 -> Int64
41 , int64ToInt -- :: Int64 -> Int
42 , int64ToInteger -- :: Int64 -> Integer
43 , int64ToInt8 -- :: Int64 -> Int8
44 , int64ToInt16 -- :: Int64 -> Int16
45 , int64ToInt32 -- :: Int64 -> Int32
48 , intToInt8#, i8ToInt#, intToInt16#, i16ToInt#, intToInt32#, i32ToInt#,
49 , intToInt64#, plusInt64#, minusInt64#, negateInt64#
61 -- ---------------------------------------------------------------------------
62 -- Coercion functions (DEPRECATED)
63 -- ---------------------------------------------------------------------------
65 intToInt8 :: Int -> Int8
66 intToInt16 :: Int -> Int16
67 intToInt32 :: Int -> Int32
68 intToInt64 :: Int -> Int64
70 integerToInt8 :: Integer -> Int8
71 integerToInt16 :: Integer -> Int16
72 integerToInt32 :: Integer -> Int32
73 integerToInt64 :: Integer -> Int64
75 int8ToInt :: Int8 -> Int
76 int8ToInteger :: Int8 -> Integer
77 int8ToInt16 :: Int8 -> Int16
78 int8ToInt32 :: Int8 -> Int32
79 int8ToInt64 :: Int8 -> Int64
81 int16ToInt :: Int16 -> Int
82 int16ToInteger :: Int16 -> Integer
83 int16ToInt8 :: Int16 -> Int8
84 int16ToInt32 :: Int16 -> Int32
85 int16ToInt64 :: Int16 -> Int64
87 int32ToInt :: Int32 -> Int
88 int32ToInteger :: Int32 -> Integer
89 int32ToInt8 :: Int32 -> Int8
90 int32ToInt16 :: Int32 -> Int16
91 int32ToInt64 :: Int32 -> Int64
93 int64ToInt :: Int64 -> Int
94 int64ToInteger :: Int64 -> Integer
95 int64ToInt8 :: Int64 -> Int8
96 int64ToInt16 :: Int64 -> Int16
97 int64ToInt32 :: Int64 -> Int32
99 integerToInt8 = fromInteger
100 integerToInt16 = fromInteger
101 integerToInt32 = fromInteger
103 int8ToInt16 (I8# x) = I16# x
104 int8ToInt32 (I8# x) = I32# x
106 int16ToInt8 (I16# x) = I8# x
107 int16ToInt32 (I16# x) = I32# x
109 int32ToInt8 (I32# x) = I8# x
110 int32ToInt16 (I32# x) = I16# x
112 int8ToInteger = toInteger
113 int8ToInt64 = int32ToInt64 . int8ToInt32
115 int16ToInteger = toInteger
116 int16ToInt64 = int32ToInt64 . int16ToInt32
118 int32ToInteger = toInteger
120 int64ToInt8 = int32ToInt8 . int64ToInt32
121 int64ToInt16 = int32ToInt16 . int64ToInt32
123 -----------------------------------------------------------------------------
124 -- The following rules for fromIntegral remove the need to export specialized
125 -- conversion functions.
126 -----------------------------------------------------------------------------
129 "fromIntegral/Int->Int8" fromIntegral = intToInt8;
130 "fromIntegral/Int->Int16" fromIntegral = intToInt16;
131 "fromIntegral/Int->Int32" fromIntegral = intToInt32;
132 "fromIntegral/Int->Int64" fromIntegral = intToInt64;
134 "fromIntegral/Integer->Int8" fromIntegral = integerToInt8;
135 "fromIntegral/Integer->Int16" fromIntegral = integerToInt16;
136 "fromIntegral/Integer->Int32" fromIntegral = integerToInt32;
137 "fromIntegral/Integer->Int64" fromIntegral = integerToInt64;
139 "fromIntegral/Int8->Int" fromIntegral = int8ToInt;
140 "fromIntegral/Int8->Integer" fromIntegral = int8ToInteger;
141 "fromIntegral/Int8->Int16" fromIntegral = int8ToInt16;
142 "fromIntegral/Int8->Int32" fromIntegral = int8ToInt32;
143 "fromIntegral/Int8->Int64" fromIntegral = int8ToInt64;
145 "fromIntegral/Int16->Int" fromIntegral = int16ToInt;
146 "fromIntegral/Int16->Integer" fromIntegral = int16ToInteger;
147 "fromIntegral/Int16->Int8" fromIntegral = int16ToInt8;
148 "fromIntegral/Int16->Int32" fromIntegral = int16ToInt32;
149 "fromIntegral/Int16->Int64" fromIntegral = int16ToInt64;
151 "fromIntegral/Int32->Int" fromIntegral = int32ToInt;
152 "fromIntegral/Int32->Integer" fromIntegral = int32ToInteger;
153 "fromIntegral/Int32->Int8" fromIntegral = int32ToInt8;
154 "fromIntegral/Int32->Int16" fromIntegral = int32ToInt16;
155 "fromIntegral/Int32->Int64" fromIntegral = int32ToInt64;
157 "fromIntegral/Int64->Int" fromIntegral = int64ToInt;
158 "fromIntegral/Int64->Integer" fromIntegral = int64ToInteger;
159 "fromIntegral/Int64->Int8" fromIntegral = int64ToInt8;
160 "fromIntegral/Int64->Int16" fromIntegral = int64ToInt16;
161 "fromIntegral/Int64->Int32" fromIntegral = int64ToInt32
164 -- -----------------------------------------------------------------------------
166 -- -----------------------------------------------------------------------------
170 instance CCallable Int8
171 instance CReturnable Int8
173 int8ToInt (I8# x) = I# (i8ToInt# x)
175 i8ToInt# :: Int# -> Int#
176 i8ToInt# x = if x' <=# 0x7f# then x' else x' -# 0x100#
177 where x' = word2Int# (int2Word# x `and#` int2Word# 0xff#)
179 -- This doesn't perform any bounds checking on the value it is passed,
180 -- nor its sign, i.e., show (intToInt8 511) => "-1"
181 intToInt8 (I# x) = I8# (intToInt8# x)
183 intToInt8# :: Int# -> Int#
184 intToInt8# i# = word2Int# ((int2Word# i#) `and#` int2Word# 0xff#)
186 instance Eq Int8 where
187 (I8# x#) == (I8# y#) = x# ==# y#
188 (I8# x#) /= (I8# y#) = x# /=# y#
190 instance Ord Int8 where
191 compare (I8# x#) (I8# y#) = compareInt# (i8ToInt# x#) (i8ToInt# y#)
193 compareInt# :: Int# -> Int# -> Ordering
199 instance Num Int8 where
200 (I8# x#) + (I8# y#) = I8# (intToInt8# (x# +# y#))
201 (I8# x#) - (I8# y#) = I8# (intToInt8# (x# -# y#))
202 (I8# x#) * (I8# y#) = I8# (intToInt8# (x# *# y#))
206 else I8# (0x100# -# x#)
210 fromInteger (S# i#) = I8# (intToInt8# i#)
211 fromInteger (J# s# d#) = I8# (intToInt8# (integer2Int# s# d#))
214 instance Bounded Int8 where
218 instance Real Int8 where
219 toRational x = toInteger x % 1
221 instance Integral Int8 where
223 | x > 0 && y < 0 = quotInt8 (x-y-1) y
224 | x < 0 && y > 0 = quotInt8 (x-y+1) y
225 | otherwise = quotInt8 x y
226 quot x@(I8# _) y@(I8# y#)
227 | y# /=# 0# = x `quotInt8` y
228 | otherwise = divZeroError "quot{Int8}" x
229 rem x@(I8# _) y@(I8# y#)
230 | y# /=# 0# = x `remInt8` y
231 | otherwise = divZeroError "rem{Int8}" x
233 | x > 0 && y < 0 || x < 0 && y > 0 = if r/=0 then r+y else 0
235 where r = remInt8 x y
237 a@(I8# _) `quotRem` b@(I8# _) = (a `quotInt8` b, a `remInt8` b)
238 toInteger i8 = toInteger (int8ToInt i8)
239 toInt i8 = int8ToInt i8
242 remInt8, quotInt8 :: Int8 -> Int8 -> Int8
243 remInt8 (I8# x) (I8# y) = I8# (intToInt8# ((i8ToInt# x) `remInt#` (i8ToInt# y)))
244 quotInt8 (I8# x) (I8# y) = I8# (intToInt8# ((i8ToInt# x) `quotInt#` (i8ToInt# y)))
246 instance Ix Int8 where
249 | inRange b i = int8ToInt (i - m)
250 | otherwise = indexError b i "Int8"
251 inRange (m,n) i = m <= i && i <= n
253 instance Enum Int8 where
255 | i == maxBound = succError "Int8"
258 | i == minBound = predError "Int8"
262 | x >= toInt (minBound::Int8) && x <= toInt (maxBound::Int8)
265 = toEnumError "Int8" x (minBound::Int8,maxBound::Int8)
268 enumFrom e1 = map toEnum [fromEnum e1 .. fromEnum (maxBound::Int8)]
270 map toEnum [fromEnum e1, fromEnum e2 .. fromEnum (last::Int8)]
274 | otherwise = maxBound
276 instance Read Int8 where
277 readsPrec p s = [ (intToInt8 x,r) | (x,r) <- readsPrec p s ]
279 instance Show Int8 where
280 showsPrec p i8 = showsPrec p (int8ToInt i8)
282 binop8 :: (Int32 -> Int32 -> a) -> (Int8 -> Int8 -> a)
283 binop8 op x y = int8ToInt32 x `op` int8ToInt32 y
285 instance Bits Int8 where
286 (I8# x) .&. (I8# y) = I8# (word2Int# ((int2Word# x) `and#` (int2Word# y)))
287 (I8# x) .|. (I8# y) = I8# (word2Int# ((int2Word# x) `or#` (int2Word# y)))
288 (I8# x) `xor` (I8# y) = I8# (word2Int# ((int2Word# x) `xor#` (int2Word# y)))
289 complement (I8# x) = I8# (word2Int# ((int2Word# x) `xor#` (int2Word# 0xff#)))
290 shift (I8# x) i@(I# i#)
291 | i > 0 = I8# (intToInt8# (iShiftL# (i8ToInt# x) i#))
292 | otherwise = I8# (intToInt8# (iShiftRA# (i8ToInt# x) (negateInt# i#)))
293 i8@(I8# x) `rotate` (I# i)
296 I8# (intToInt8# ( word2Int# (
297 (int2Word# (iShiftL# (i8ToInt# x) i'))
299 (int2Word# (iShiftRA# (word2Int# (
301 (int2Word# (0x100# -# pow2# i2))))
303 | otherwise = rotate i8 (I# (8# +# i))
305 i' = word2Int# (int2Word# i `and#` int2Word# 7#)
310 pow2# :: Int# -> Int#
311 pow2# x# = iShiftL# 1# x#
313 pow2_64# :: Int# -> Int64#
314 pow2_64# x# = word64ToInt64# (shiftL64# (wordToWord64# (int2Word# 1#)) x#)
316 -- -----------------------------------------------------------------------------
318 -- -----------------------------------------------------------------------------
320 data Int16 = I16# Int#
322 instance CCallable Int16
323 instance CReturnable Int16
325 int16ToInt (I16# x) = I# (i16ToInt# x)
327 i16ToInt# :: Int# -> Int#
328 i16ToInt# x = if x' <=# 0x7fff# then x' else x' -# 0x10000#
329 where x' = word2Int# (int2Word# x `and#` int2Word# 0xffff#)
331 -- This doesn't perform any bounds checking on the value it is passed,
332 -- nor its sign, i.e., show (intToInt8 131071) => "-1"
333 intToInt16 (I# x) = I16# (intToInt16# x)
335 intToInt16# :: Int# -> Int#
336 intToInt16# i# = word2Int# ((int2Word# i#) `and#` int2Word# 0xffff#)
338 instance Eq Int16 where
339 (I16# x#) == (I16# y#) = x# ==# y#
340 (I16# x#) /= (I16# y#) = x# /=# y#
342 instance Ord Int16 where
343 compare (I16# x#) (I16# y#) = compareInt# (i16ToInt# x#) (i16ToInt# y#)
345 instance Num Int16 where
346 (I16# x#) + (I16# y#) = I16# (intToInt16# (x# +# y#))
347 (I16# x#) - (I16# y#) = I16# (intToInt16# (x# -# y#))
348 (I16# x#) * (I16# y#) = I16# (intToInt16# (x# *# y#))
352 else I16# (0x10000# -# x#)
355 fromInteger (S# i#) = I16# (intToInt16# i#)
356 fromInteger (J# s# d#) = I16# (intToInt16# (integer2Int# s# d#))
359 instance Bounded Int16 where
363 instance Real Int16 where
364 toRational x = toInteger x % 1
366 instance Integral Int16 where
368 | x > 0 && y < 0 = quotInt16 (x-y-1) y
369 | x < 0 && y > 0 = quotInt16 (x-y+1) y
370 | otherwise = quotInt16 x y
371 quot x@(I16# _) y@(I16# y#)
372 | y# /=# 0# = x `quotInt16` y
373 | otherwise = divZeroError "quot{Int16}" x
374 rem x@(I16# _) y@(I16# y#)
375 | y# /=# 0# = x `remInt16` y
376 | otherwise = divZeroError "rem{Int16}" x
378 | x > 0 && y < 0 || x < 0 && y > 0 = if r/=0 then r+y else 0
380 where r = remInt16 x y
382 a@(I16# _) `quotRem` b@(I16# _) = (a `quotInt16` b, a `remInt16` b)
383 toInteger i16 = toInteger (int16ToInt i16)
384 toInt i16 = int16ToInt i16
386 remInt16, quotInt16 :: Int16 -> Int16 -> Int16
387 remInt16 (I16# x) (I16# y) = I16# (intToInt16# ((i16ToInt# x) `remInt#` (i16ToInt# y)))
388 quotInt16 (I16# x) (I16# y) = I16# (intToInt16# ((i16ToInt# x) `quotInt#` (i16ToInt# y)))
390 instance Ix Int16 where
393 | inRange b i = int16ToInt (i - m)
394 | otherwise = indexError b i "Int16"
395 inRange (m,n) i = m <= i && i <= n
397 instance Enum Int16 where
399 | i == maxBound = succError "Int16"
403 | i == minBound = predError "Int16"
407 | x >= toInt (minBound::Int16) && x <= toInt (maxBound::Int16)
410 = toEnumError "Int16" x (minBound::Int16, maxBound::Int16)
412 fromEnum = int16ToInt
414 enumFrom e1 = map toEnum [fromEnum e1 .. fromEnum (maxBound::Int16)]
415 enumFromThen e1 e2 = map toEnum [fromEnum e1, fromEnum e2 .. fromEnum (last::Int16)]
418 | otherwise = maxBound
420 instance Read Int16 where
421 readsPrec p s = [ (intToInt16 x,r) | (x,r) <- readsPrec p s ]
423 instance Show Int16 where
424 showsPrec p i16 = showsPrec p (int16ToInt i16)
427 binop16 :: (Int32 -> Int32 -> a) -> (Int16 -> Int16 -> a)
428 binop16 op x y = int16ToInt32 x `op` int16ToInt32 y
430 instance Bits Int16 where
431 (I16# x) .&. (I16# y) = I16# (word2Int# ((int2Word# x) `and#` (int2Word# y)))
432 (I16# x) .|. (I16# y) = I16# (word2Int# ((int2Word# x) `or#` (int2Word# y)))
433 (I16# x) `xor` (I16# y) = I16# (word2Int# ((int2Word# x) `xor#` (int2Word# y)))
434 complement (I16# x) = I16# (word2Int# ((int2Word# x) `xor#` (int2Word# 0xffff#)))
435 shift (I16# x) i@(I# i#)
436 | i > 0 = I16# (intToInt16# (iShiftL# (i16ToInt# x) i#))
437 | otherwise = I16# (intToInt16# (iShiftRA# (i16ToInt# x) (negateInt# i#)))
438 i16@(I16# x) `rotate` (I# i)
441 I16# (intToInt16# (word2Int# (
442 (int2Word# (iShiftL# (i16ToInt# x) i'))
444 (int2Word# (iShiftRA# ( word2Int# (
445 (int2Word# x) `and#` (int2Word# (0x100# -# pow2# i2))))
447 | otherwise = rotate i16 (I# (16# +# i))
449 i' = word2Int# (int2Word# i `and#` int2Word# 15#)
454 -- -----------------------------------------------------------------------------
456 -- -----------------------------------------------------------------------------
458 data Int32 = I32# Int#
460 instance CCallable Int32
461 instance CReturnable Int32
463 int32ToInt (I32# x) = I# (i32ToInt# x)
465 i32ToInt# :: Int# -> Int#
466 #if WORD_SIZE_IN_BYTES > 4
467 i32ToInt# x = if x' <=# 0x7fffffff# then x' else x' -# 0x100000000#
468 where x' = word2Int# (int2Word# x `and#` int2Word# 0xffffffff#)
473 intToInt32 (I# x) = I32# (intToInt32# x)
475 intToInt32# :: Int# -> Int#
476 #if WORD_SIZE_IN_BYTES > 4
477 intToInt32# i# = word2Int# ((int2Word# i#) `and#` int2Word# 0xffffffff#)
482 instance Eq Int32 where
483 (I32# x#) == (I32# y#) = x# ==# y#
484 (I32# x#) /= (I32# y#) = x# /=# y#
486 instance Ord Int32 where
487 compare (I32# x#) (I32# y#) = compareInt# (i32ToInt# x#) (i32ToInt# y#)
489 instance Num Int32 where
490 (I32# x#) + (I32# y#) = I32# (intToInt32# (x# +# y#))
491 (I32# x#) - (I32# y#) = I32# (intToInt32# (x# -# y#))
492 (I32# x#) * (I32# y#) = I32# (intToInt32# (x# *# y#))
493 #if WORD_SIZE_IN_BYTES > 4
497 else I32# (intToInt32# (0x100000000# -# x'))
499 negate (I32# x) = I32# (negateInt# x)
503 fromInteger (S# i#) = I32# (intToInt32# i#)
504 fromInteger (J# s# d#) = I32# (intToInt32# (integer2Int# s# d#))
508 instance Bounded Int32 where
509 minBound = fromInt minBound
510 maxBound = fromInt maxBound
512 instance Real Int32 where
513 toRational x = toInteger x % 1
515 instance Integral Int32 where
517 | x > 0 && y < 0 = quotInt32 (x-y-1) y
518 | x < 0 && y > 0 = quotInt32 (x-y+1) y
519 | otherwise = quotInt32 x y
520 quot x@(I32# _) y@(I32# y#)
521 | y# /=# 0# = x `quotInt32` y
522 | otherwise = divZeroError "quot{Int32}" x
523 rem x@(I32# _) y@(I32# y#)
524 | y# /=# 0# = x `remInt32` y
525 | otherwise = divZeroError "rem{Int32}" x
527 | x > 0 && y < 0 || x < 0 && y > 0 = if r/=0 then r+y else 0
529 where r = remInt32 x y
531 a@(I32# _) `quotRem` b@(I32# _) = (a `quotInt32` b, a `remInt32` b)
532 toInteger i32 = toInteger (int32ToInt i32)
533 toInt i32 = int32ToInt i32
535 remInt32, quotInt32 :: Int32 -> Int32 -> Int32
536 remInt32 (I32# x) (I32# y) = I32# (intToInt32# ((i32ToInt# x) `remInt#` (i32ToInt# y)))
537 quotInt32 (I32# x) (I32# y) = I32# (intToInt32# ((i32ToInt# x) `quotInt#` (i32ToInt# y)))
539 instance Ix Int32 where
542 | inRange b i = int32ToInt (i - m)
543 | otherwise = indexError b i "Int32"
544 inRange (m,n) i = m <= i && i <= n
546 instance Enum Int32 where
548 | i == maxBound = succError "Int32"
552 | i == minBound = predError "Int32"
556 -- with Int having the same range as Int32, the following test
557 -- shouldn't fail. However, having it here
558 | x >= toInt (minBound::Int32) && x <= toInt (maxBound::Int32)
561 = toEnumError "Int32" x (minBound::Int32, maxBound::Int32)
563 fromEnum = int32ToInt
565 enumFrom e1 = map toEnum [fromEnum e1 .. fromEnum (maxBound::Int32)]
566 enumFromThen e1 e2 = map toEnum [fromEnum e1, fromEnum e2 .. fromEnum (last::Int32)]
570 | otherwise = maxBound
573 instance Read Int32 where
574 readsPrec p s = [ (intToInt32 x,r) | (x,r) <- readsPrec p s ]
576 instance Show Int32 where
577 showsPrec p i32 = showsPrec p (int32ToInt i32)
579 instance Bits Int32 where
580 (I32# x) .&. (I32# y) = I32# (word2Int# ((int2Word# x) `and#` (int2Word# y)))
581 (I32# x) .|. (I32# y) = I32# (word2Int# ((int2Word# x) `or#` (int2Word# y)))
582 (I32# x) `xor` (I32# y) = I32# (word2Int# ((int2Word# x) `xor#` (int2Word# y)))
583 #if WORD_SIZE_IN_BYTES > 4
584 complement (I32# x) = I32# (word2Int# ((int2Word# x) `xor#` (int2Word# 0xffffffff#)))
586 complement (I32# x) = I32# (word2Int# ((int2Word# x) `xor#` (int2Word# (negateInt# 1#))))
588 shift (I32# x) i@(I# i#)
589 | i > 0 = I32# (intToInt32# (iShiftL# (i32ToInt# x) i#))
590 | otherwise = I32# (intToInt32# (iShiftRA# (i32ToInt# x) (negateInt# i#)))
591 i32@(I32# x) `rotate` (I# i)
594 -- ( (x<<i') | ((x&(0x100000000-2^i2))>>i2)
595 I32# (intToInt32# ( word2Int# (
596 (int2Word# (iShiftL# (i32ToInt# x) i'))
598 (int2Word# (iShiftRA# (word2Int# (
601 (int2Word# (maxBound# -# pow2# i2 +# 1#))))
603 | otherwise = rotate i32 (I# (32# +# i))
605 i' = word2Int# (int2Word# i `and#` int2Word# 31#)
607 (I32# maxBound#) = maxBound
611 -- -----------------------------------------------------------------------------
613 -- -----------------------------------------------------------------------------
615 #if WORD_SIZE_IN_BYTES == 8
616 data Int64 = I64# Int#
618 int32ToInt64 (I32# i#) = I64# i#
620 intToInt32# :: Int# -> Int#
621 intToInt32# i# = word2Int# ((int2Word# i#) `and#` (case (maxBound::Word32) of W# x# -> x#))
623 int64ToInt32 (I64# i#) = I32# (intToInt32# w#)
625 instance Eq Int64 where
626 (I64# x) == (I64# y) = x `eqInt#` y
627 (I64# x) /= (I64# y) = x `neInt#` y
629 instance Ord Int32 where
630 compare (I64# x#) (I64# y#) = compareInt# x# y#
632 instance Num Int64 where
633 (I64# x) + (I64# y) = I64# (x +# y)
634 (I64# x) - (I64# y) = I64# (x -# y)
635 (I64# x) * (I64# y) = I64# (x *# y)
636 negate w@(I64# x) = I64# (negateInt# x)
639 fromInteger (S# i#) = I64# i#
640 fromInteger (J# s# d#) = I64# (integer2Int# s# d#)
643 instance Bounded Int64 where
644 minBound = integerToInt64 (-0x8000000000000000)
645 maxBound = integerToInt64 0x7fffffffffffffff
647 instance Integral Int64 where
649 | x > 0 && y < 0 = quotInt64 (x-y-1) y
650 | x < 0 && y > 0 = quotInt64 (x-y+1) y
651 | otherwise = quotInt64 x y
653 quot x@(I64# _) y@(I64# y#)
654 | y# /=# 0# = x `quotInt64` y
655 | otherwise = divZeroError "quot{Int64}" x
657 rem x@(I64# _) y@(I64# y#)
658 | y# /=# 0# = x `remInt64` y
659 | otherwise = divZeroError "rem{Int64}" x
662 | x > 0 && y < 0 || x < 0 && y > 0 = if r/=0 then r+y else 0
664 where r = remInt64 x y
666 a@(I64# _) `quotRem` b@(I64# _) = (a `quotInt64` b, a `remInt64` b)
667 toInteger (I64# i#) = toInteger (I# i#)
668 toInt (I64# i#) = I# i#
670 remInt64 (I64# x) (I64# y) = I64# (x `remInt#` y)
671 quotInt64 (I64# x) (I64# y) = I64# (x `quotInt#` y)
673 int64ToInteger (I64# i#) = toInteger (I# i#)
674 integerToInt64 i = case fromInteger i of { I# i# -> I64# i# }
676 intToInt64 (I# i#) = I64# i#
677 int64ToInt (I64# i#) = I# i#
680 --assume: support for long-longs
681 data Int64 = I64# Int64#
683 int32ToInt64 (I32# i#) = I64# (intToInt64# i#)
684 int64ToInt32 (I64# i#) = I32# (int64ToInt# i#)
686 int64ToInteger (I64# x#) =
687 case int64ToInteger# x# of
688 (# s#, p# #) -> J# s# p#
690 integerToInt64 (S# i#) = I64# (intToInt64# i#)
691 integerToInt64 (J# s# d#) = I64# (integerToInt64# s# d#)
693 instance Eq Int64 where
694 (I64# x) == (I64# y) = x `eqInt64#` y
695 (I64# x) /= (I64# y) = x `neInt64#` y
697 instance Ord Int64 where
698 compare (I64# x) (I64# y) = compareInt64# x y
699 (<) (I64# x) (I64# y) = x `ltInt64#` y
700 (<=) (I64# x) (I64# y) = x `leInt64#` y
701 (>=) (I64# x) (I64# y) = x `geInt64#` y
702 (>) (I64# x) (I64# y) = x `gtInt64#` y
703 max x@(I64# x#) y@(I64# y#) =
704 case (compareInt64# x# y#) of { LT -> y ; EQ -> x ; GT -> x }
705 min x@(I64# x#) y@(I64# y#) =
706 case (compareInt64# x# y#) of { LT -> x ; EQ -> x ; GT -> y }
708 instance Num Int64 where
709 (I64# x) + (I64# y) = I64# (x `plusInt64#` y)
710 (I64# x) - (I64# y) = I64# (x `minusInt64#` y)
711 (I64# x) * (I64# y) = I64# (x `timesInt64#` y)
712 negate (I64# x) = I64# (negateInt64# x)
715 fromInteger i = integerToInt64 i
716 fromInt i = intToInt64 i
718 compareInt64# :: Int64# -> Int64# -> Ordering
720 | i# `ltInt64#` j# = LT
721 | i# `eqInt64#` j# = EQ
724 instance Bounded Int64 where
725 minBound = integerToInt64 (-0x8000000000000000)
726 maxBound = integerToInt64 0x7fffffffffffffff
728 instance Integral Int64 where
730 | x > 0 && y < 0 = quotInt64 (x-y-1) y
731 | x < 0 && y > 0 = quotInt64 (x-y+1) y
732 | otherwise = quotInt64 x y
734 quot x@(I64# _) y@(I64# y#)
735 | y# `neInt64#` (intToInt64# 0#) = x `quotInt64` y
736 | otherwise = divZeroError "quot{Int64}" x
738 rem x@(I64# _) y@(I64# y#)
739 | y# `neInt64#` (intToInt64# 0#) = x `remInt64` y
740 | otherwise = divZeroError "rem{Int64}" x
743 | x > 0 && y < 0 || x < 0 && y > 0 = if r/=0 then r+y else 0
745 where r = remInt64 x y
747 a@(I64# _) `quotRem` b@(I64# _) = (a `quotInt64` b, a `remInt64` b)
748 toInteger i = int64ToInteger i
749 toInt i = int64ToInt i
751 remInt64, quotInt64 :: Int64 -> Int64 -> Int64
752 remInt64 (I64# x) (I64# y) = I64# (x `remInt64#` y)
753 quotInt64 (I64# x) (I64# y) = I64# (x `quotInt64#` y)
755 intToInt64 (I# i#) = I64# (intToInt64# i#)
756 int64ToInt (I64# i#) = I# (int64ToInt# i#)
758 -- Int64# primop wrappers:
760 ltInt64# :: Int64# -> Int64# -> Bool
761 ltInt64# x# y# = stg_ltInt64 x# y# /=# 0#
763 leInt64# :: Int64# -> Int64# -> Bool
764 leInt64# x# y# = stg_leInt64 x# y# /=# 0#
766 eqInt64# :: Int64# -> Int64# -> Bool
767 eqInt64# x# y# = stg_eqInt64 x# y# /=# 0#
769 neInt64# :: Int64# -> Int64# -> Bool
770 neInt64# x# y# = stg_neInt64 x# y# /=# 0#
772 geInt64# :: Int64# -> Int64# -> Bool
773 geInt64# x# y# = stg_geInt64 x# y# /=# 0#
775 gtInt64# :: Int64# -> Int64# -> Bool
776 gtInt64# x# y# = stg_gtInt64 x# y# /=# 0#
778 foreign import "stg_intToInt64" unsafe intToInt64# :: Int# -> Int64#
779 foreign import "stg_int64ToInt" unsafe int64ToInt# :: Int64# -> Int#
780 foreign import "stg_negateInt64" unsafe negateInt64# :: Int64# -> Int64#
781 foreign import "stg_remInt64" unsafe remInt64# :: Int64# -> Int64# -> Int64#
782 foreign import "stg_quotInt64" unsafe quotInt64# :: Int64# -> Int64# -> Int64#
783 foreign import "stg_timesInt64" unsafe timesInt64# :: Int64# -> Int64# -> Int64#
784 foreign import "stg_minusInt64" unsafe minusInt64# :: Int64# -> Int64# -> Int64#
785 foreign import "stg_plusInt64" unsafe plusInt64# :: Int64# -> Int64# -> Int64#
786 foreign import "stg_gtInt64" unsafe stg_gtInt64 :: Int64# -> Int64# -> Int#
787 foreign import "stg_geInt64" unsafe stg_geInt64 :: Int64# -> Int64# -> Int#
788 foreign import "stg_neInt64" unsafe stg_neInt64 :: Int64# -> Int64# -> Int#
789 foreign import "stg_eqInt64" unsafe stg_eqInt64 :: Int64# -> Int64# -> Int#
790 foreign import "stg_leInt64" unsafe stg_leInt64 :: Int64# -> Int64# -> Int#
791 foreign import "stg_ltInt64" unsafe stg_ltInt64 :: Int64# -> Int64# -> Int#
796 -- Code that's independent of Int64 rep.
798 instance CCallable Int64
799 instance CReturnable Int64
801 instance Enum Int64 where
803 | i == maxBound = succError "Int64"
807 | i == minBound = predError "Int64"
810 toEnum i = intToInt64 i
812 | x >= intToInt64 (minBound::Int) && x <= intToInt64 (maxBound::Int)
815 = fromEnumError "Int64" x
817 enumFrom e1 = map integerToInt64 [int64ToInteger e1 .. int64ToInteger (maxBound::Int64)]
818 enumFromTo e1 e2 = map integerToInt64 [int64ToInteger e1 .. int64ToInteger e2]
819 enumFromThen e1 e2 = map integerToInt64 [int64ToInteger e1, int64ToInteger e2 .. int64ToInteger last]
824 | otherwise = maxBound
826 enumFromThenTo e1 e2 e3 = map integerToInt64 [int64ToInteger e1, int64ToInteger e2 .. int64ToInteger e3]
828 instance Show Int64 where
829 showsPrec p i64 = showsPrec p (int64ToInteger i64)
831 instance Read Int64 where
832 readsPrec _ s = [ (integerToInt64 x,r) | (x,r) <- readDec s ]
834 instance Ix Int64 where
837 | inRange b i = int64ToInt (i-m)
838 | otherwise = indexError b i "Int64"
839 inRange (m,n) i = m <= i && i <= n
841 instance Real Int64 where
842 toRational x = toInteger x % 1
844 #if WORD_SIZE_IN_BYTES == 8
845 instance Bits Int64 where
846 (I64# x) .&. (I64# y) = I64# (word2Int# ((int2Word# x) `and#` (int2Word# y)))
847 (I64# x) .|. (I64# y) = I64# (word2Int# ((int2Word# x) `or#` (int2Word# y)))
848 (I64# x) `xor` (I64# y) = I64# (word2Int# ((int2Word# x) `xor#` (int2Word# y)))
849 complement (I64# x) = I64# (negateInt# x)
850 shift (I64# x) i@(I# i#)
851 | i > 0 = I64# (iShiftL# x i#)
852 | otherwise = I64# (iShiftRA# x (negateInt# i#))
853 i64@(I64# x) `rotate` (I# i)
856 -- ( (x<<i') | ((x&(0x10000000000000000-2^i2))>>i2) )
858 (int2Word# (iShiftL# x i'))
860 (int2Word# (iShiftRA# (word2Int# (
863 (int2Word# (maxBound# -# pow2# i2 +# 1#))))
865 | otherwise = rotate i64 (I# (64# +# i))
867 i' = word2Int# (int2Word# i `and#` int2Word# 63#)
869 (I64# maxBound#) = maxBound
873 #else /* WORD_SIZE_IN_BYTES != 8 */
875 instance Bits Int64 where
876 (I64# x) .&. (I64# y) = I64# (word64ToInt64# ((int64ToWord64# x) `and64#` (int64ToWord64# y)))
877 (I64# x) .|. (I64# y) = I64# (word64ToInt64# ((int64ToWord64# x) `or64#` (int64ToWord64# y)))
878 (I64# x) `xor` (I64# y) = I64# (word64ToInt64# ((int64ToWord64# x) `xor64#` (int64ToWord64# y)))
879 complement (I64# x) = I64# (negateInt64# x)
880 shift (I64# x) i@(I# i#)
881 | i > 0 = I64# (iShiftL64# x i#)
882 | otherwise = I64# (iShiftRA64# x (negateInt# i#))
883 i64@(I64# x) `rotate` (I# i)
886 -- ( (x<<i') | ((x&(0x10000000000000000-2^i2))>>i2) )
887 I64# (word64ToInt64# (
888 (int64ToWord64# (iShiftL64# x i')) `or64#`
889 (int64ToWord64# (iShiftRA64# (word64ToInt64# ((int64ToWord64# x) `and64#`
890 (int64ToWord64# (maxBound# `minusInt64#` (pow2_64# i2 `plusInt64#` (intToInt64# 1#))))))
892 | otherwise = rotate i64 (I# (64# +# i))
894 i' = word2Int# (int2Word# i `and#` int2Word# 63#)
896 (I64# maxBound#) = maxBound
900 foreign import "stg_not64" unsafe not64# :: Word64# -> Word64#
901 foreign import "stg_xor64" unsafe xor64# :: Word64# -> Word64# -> Word64#
902 foreign import "stg_or64" unsafe or64# :: Word64# -> Word64# -> Word64#
903 foreign import "stg_and64" unsafe and64# :: Word64# -> Word64# -> Word64#
904 foreign import "stg_shiftRL64" unsafe shiftRL64# :: Word64# -> Int# -> Word64#
905 foreign import "stg_iShiftRA64" unsafe iShiftRA64# :: Int64# -> Int# -> Int64#
906 foreign import "stg_iShiftRL64" unsafe iShiftRL64# :: Int64# -> Int# -> Int64#
907 foreign import "stg_iShiftL64" unsafe iShiftL64# :: Int64# -> Int# -> Int64#
908 foreign import "stg_shiftL64" unsafe shiftL64# :: Word64# -> Int# -> Word64#
912 -- ---------------------------------------------------------------------------
913 -- Miscellaneous Utilities
914 -- ---------------------------------------------------------------------------
916 absReal :: (Ord a, Num a) => a -> a
917 absReal x | x >= 0 = x
920 signumReal :: (Ord a, Num a) => a -> a
921 signumReal x | x == 0 = 0