{-# OPTIONS_GHC -fno-implicit-prelude #-}
-----------------------------------------------------------------------------
-- |
-- Module : GHC.Int
-- Copyright : (c) The University of Glasgow 1997-2002
-- License : see libraries/base/LICENSE
--
-- Maintainer : [email protected]
-- Stability : internal
-- Portability : non-portable (GHC Extensions)
--
-- The sized integral datatypes, 'Int8', 'Int16', 'Int32', and 'Int64'.
--
-----------------------------------------------------------------------------
#include "MachDeps.h"
-- #hide
module GHC.Int (
Int8(..), Int16(..), Int32(..), Int64(..))
where
import Data.Bits
import {-# SOURCE #-} GHC.Err
import GHC.Base
import GHC.Enum
import GHC.Num
import GHC.Real
import GHC.Read
import GHC.Arr
import GHC.Word
import GHC.Show
------------------------------------------------------------------------
-- type Int8
------------------------------------------------------------------------
-- Int8 is represented in the same way as Int. Operations may assume
-- and must ensure that it holds only values from its logical range.
data Int8 = I8# Int# deriving (Eq, Ord)
-- ^ 8-bit signed integer type
instance Show Int8 where
showsPrec p x = showsPrec p (fromIntegral x :: Int)
instance Num Int8 where
(I8# x#) + (I8# y#) = I8# (narrow8Int# (x# +# y#))
(I8# x#) - (I8# y#) = I8# (narrow8Int# (x# -# y#))
(I8# x#) * (I8# y#) = I8# (narrow8Int# (x# *# y#))
negate (I8# x#) = I8# (narrow8Int# (negateInt# x#))
abs x | x >= 0 = x
| otherwise = negate x
signum x | x > 0 = 1
signum 0 = 0
signum _ = -1
fromInteger (S# i#) = I8# (narrow8Int# i#)
fromInteger (J# s# d#) = I8# (narrow8Int# (integer2Int# s# d#))
instance Real Int8 where
toRational x = toInteger x % 1
instance Enum Int8 where
succ x
| x /= maxBound = x + 1
| otherwise = succError "Int8"
pred x
| x /= minBound = x - 1
| otherwise = predError "Int8"
toEnum i@(I# i#)
| i >= fromIntegral (minBound::Int8) && i <= fromIntegral (maxBound::Int8)
= I8# i#
| otherwise = toEnumError "Int8" i (minBound::Int8, maxBound::Int8)
fromEnum (I8# x#) = I# x#
enumFrom = boundedEnumFrom
enumFromThen = boundedEnumFromThen
instance Integral Int8 where
quot x@(I8# x#) y@(I8# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = I8# (narrow8Int# (x# `quotInt#` y#))
rem x@(I8# x#) y@(I8# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = I8# (narrow8Int# (x# `remInt#` y#))
div x@(I8# x#) y@(I8# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = I8# (narrow8Int# (x# `divInt#` y#))
mod x@(I8# x#) y@(I8# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = I8# (narrow8Int# (x# `modInt#` y#))
quotRem x@(I8# x#) y@(I8# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = (I8# (narrow8Int# (x# `quotInt#` y#)),
I8# (narrow8Int# (x# `remInt#` y#)))
divMod x@(I8# x#) y@(I8# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = (I8# (narrow8Int# (x# `divInt#` y#)),
I8# (narrow8Int# (x# `modInt#` y#)))
toInteger (I8# x#) = S# x#
instance Bounded Int8 where
minBound = -0x80
maxBound = 0x7F
instance Ix Int8 where
range (m,n) = [m..n]
unsafeIndex b@(m,_) i = fromIntegral i - fromIntegral m
inRange (m,n) i = m <= i && i <= n
instance Read Int8 where
readsPrec p s = [(fromIntegral (x::Int), r) | (x, r) <- readsPrec p s]
instance Bits Int8 where
{-# INLINE shift #-}
(I8# x#) .&. (I8# y#) = I8# (word2Int# (int2Word# x# `and#` int2Word# y#))
(I8# x#) .|. (I8# y#) = I8# (word2Int# (int2Word# x# `or#` int2Word# y#))
(I8# x#) `xor` (I8# y#) = I8# (word2Int# (int2Word# x# `xor#` int2Word# y#))
complement (I8# x#) = I8# (word2Int# (int2Word# x# `xor#` int2Word# (-1#)))
(I8# x#) `shift` (I# i#)
| i# >=# 0# = I8# (narrow8Int# (x# `iShiftL#` i#))
| otherwise = I8# (x# `iShiftRA#` negateInt# i#)
(I8# x#) `rotate` (I# i#)
| i'# ==# 0#
= I8# x#
| otherwise
= I8# (narrow8Int# (word2Int# ((x'# `uncheckedShiftL#` i'#) `or#`
(x'# `uncheckedShiftRL#` (8# -# i'#)))))
where
x'# = narrow8Word# (int2Word# x#)
i'# = word2Int# (int2Word# i# `and#` int2Word# 7#)
bitSize _ = 8
isSigned _ = True
{-# RULES
"fromIntegral/Int8->Int8" fromIntegral = id :: Int8 -> Int8
"fromIntegral/a->Int8" fromIntegral = \x -> case fromIntegral x of I# x# -> I8# (narrow8Int# x#)
"fromIntegral/Int8->a" fromIntegral = \(I8# x#) -> fromIntegral (I# x#)
#-}
------------------------------------------------------------------------
-- type Int16
------------------------------------------------------------------------
-- Int16 is represented in the same way as Int. Operations may assume
-- and must ensure that it holds only values from its logical range.
data Int16 = I16# Int# deriving (Eq, Ord)
-- ^ 16-bit signed integer type
instance Show Int16 where
showsPrec p x = showsPrec p (fromIntegral x :: Int)
instance Num Int16 where
(I16# x#) + (I16# y#) = I16# (narrow16Int# (x# +# y#))
(I16# x#) - (I16# y#) = I16# (narrow16Int# (x# -# y#))
(I16# x#) * (I16# y#) = I16# (narrow16Int# (x# *# y#))
negate (I16# x#) = I16# (narrow16Int# (negateInt# x#))
abs x | x >= 0 = x
| otherwise = negate x
signum x | x > 0 = 1
signum 0 = 0
signum _ = -1
fromInteger (S# i#) = I16# (narrow16Int# i#)
fromInteger (J# s# d#) = I16# (narrow16Int# (integer2Int# s# d#))
instance Real Int16 where
toRational x = toInteger x % 1
instance Enum Int16 where
succ x
| x /= maxBound = x + 1
| otherwise = succError "Int16"
pred x
| x /= minBound = x - 1
| otherwise = predError "Int16"
toEnum i@(I# i#)
| i >= fromIntegral (minBound::Int16) && i <= fromIntegral (maxBound::Int16)
= I16# i#
| otherwise = toEnumError "Int16" i (minBound::Int16, maxBound::Int16)
fromEnum (I16# x#) = I# x#
enumFrom = boundedEnumFrom
enumFromThen = boundedEnumFromThen
instance Integral Int16 where
quot x@(I16# x#) y@(I16# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = I16# (narrow16Int# (x# `quotInt#` y#))
rem x@(I16# x#) y@(I16# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = I16# (narrow16Int# (x# `remInt#` y#))
div x@(I16# x#) y@(I16# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = I16# (narrow16Int# (x# `divInt#` y#))
mod x@(I16# x#) y@(I16# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = I16# (narrow16Int# (x# `modInt#` y#))
quotRem x@(I16# x#) y@(I16# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = (I16# (narrow16Int# (x# `quotInt#` y#)),
I16# (narrow16Int# (x# `remInt#` y#)))
divMod x@(I16# x#) y@(I16# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = (I16# (narrow16Int# (x# `divInt#` y#)),
I16# (narrow16Int# (x# `modInt#` y#)))
toInteger (I16# x#) = S# x#
instance Bounded Int16 where
minBound = -0x8000
maxBound = 0x7FFF
instance Ix Int16 where
range (m,n) = [m..n]
unsafeIndex b@(m,_) i = fromIntegral i - fromIntegral m
inRange (m,n) i = m <= i && i <= n
instance Read Int16 where
readsPrec p s = [(fromIntegral (x::Int), r) | (x, r) <- readsPrec p s]
instance Bits Int16 where
{-# INLINE shift #-}
(I16# x#) .&. (I16# y#) = I16# (word2Int# (int2Word# x# `and#` int2Word# y#))
(I16# x#) .|. (I16# y#) = I16# (word2Int# (int2Word# x# `or#` int2Word# y#))
(I16# x#) `xor` (I16# y#) = I16# (word2Int# (int2Word# x# `xor#` int2Word# y#))
complement (I16# x#) = I16# (word2Int# (int2Word# x# `xor#` int2Word# (-1#)))
(I16# x#) `shift` (I# i#)
| i# >=# 0# = I16# (narrow16Int# (x# `iShiftL#` i#))
| otherwise = I16# (x# `iShiftRA#` negateInt# i#)
(I16# x#) `rotate` (I# i#)
| i'# ==# 0#
= I16# x#
| otherwise
= I16# (narrow16Int# (word2Int# ((x'# `uncheckedShiftL#` i'#) `or#`
(x'# `uncheckedShiftRL#` (16# -# i'#)))))
where
x'# = narrow16Word# (int2Word# x#)
i'# = word2Int# (int2Word# i# `and#` int2Word# 15#)
bitSize _ = 16
isSigned _ = True
{-# RULES
"fromIntegral/Word8->Int16" fromIntegral = \(W8# x#) -> I16# (word2Int# x#)
"fromIntegral/Int8->Int16" fromIntegral = \(I8# x#) -> I16# x#
"fromIntegral/Int16->Int16" fromIntegral = id :: Int16 -> Int16
"fromIntegral/a->Int16" fromIntegral = \x -> case fromIntegral x of I# x# -> I16# (narrow16Int# x#)
"fromIntegral/Int16->a" fromIntegral = \(I16# x#) -> fromIntegral (I# x#)
#-}
------------------------------------------------------------------------
-- type Int32
------------------------------------------------------------------------
#if WORD_SIZE_IN_BITS < 32
data Int32 = I32# Int32#
-- ^ 32-bit signed integer type
instance Eq Int32 where
(I32# x#) == (I32# y#) = x# `eqInt32#` y#
(I32# x#) /= (I32# y#) = x# `neInt32#` y#
instance Ord Int32 where
(I32# x#) < (I32# y#) = x# `ltInt32#` y#
(I32# x#) <= (I32# y#) = x# `leInt32#` y#
(I32# x#) > (I32# y#) = x# `gtInt32#` y#
(I32# x#) >= (I32# y#) = x# `geInt32#` y#
instance Show Int32 where
showsPrec p x = showsPrec p (toInteger x)
instance Num Int32 where
(I32# x#) + (I32# y#) = I32# (x# `plusInt32#` y#)
(I32# x#) - (I32# y#) = I32# (x# `minusInt32#` y#)
(I32# x#) * (I32# y#) = I32# (x# `timesInt32#` y#)
negate (I32# x#) = I32# (negateInt32# x#)
abs x | x >= 0 = x
| otherwise = negate x
signum x | x > 0 = 1
signum 0 = 0
signum _ = -1
fromInteger (S# i#) = I32# (intToInt32# i#)
fromInteger (J# s# d#) = I32# (integerToInt32# s# d#)
instance Enum Int32 where
succ x
| x /= maxBound = x + 1
| otherwise = succError "Int32"
pred x
| x /= minBound = x - 1
| otherwise = predError "Int32"
toEnum (I# i#) = I32# (intToInt32# i#)
fromEnum x@(I32# x#)
| x >= fromIntegral (minBound::Int) && x <= fromIntegral (maxBound::Int)
= I# (int32ToInt# x#)
| otherwise = fromEnumError "Int32" x
enumFrom = integralEnumFrom
enumFromThen = integralEnumFromThen
enumFromTo = integralEnumFromTo
enumFromThenTo = integralEnumFromThenTo
instance Integral Int32 where
quot x@(I32# x#) y@(I32# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = I32# (x# `quotInt32#` y#)
rem x@(I32# x#) y@(I32# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = I32# (x# `remInt32#` y#)
div x@(I32# x#) y@(I32# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = I32# (x# `divInt32#` y#)
mod x@(I32# x#) y@(I32# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = I32# (x# `modInt32#` y#)
quotRem x@(I32# x#) y@(I32# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = (I32# (x# `quotInt32#` y#),
I32# (x# `remInt32#` y#))
divMod x@(I32# x#) y@(I32# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = (I32# (x# `divInt32#` y#),
I32# (x# `modInt32#` y#))
toInteger x@(I32# x#)
| x >= fromIntegral (minBound::Int) && x <= fromIntegral (maxBound::Int)
= S# (int32ToInt# x#)
| otherwise = case int32ToInteger# x# of (# s, d #) -> J# s d
divInt32#, modInt32# :: Int32# -> Int32# -> Int32#
x# `divInt32#` y#
| (x# `gtInt32#` intToInt32# 0#) && (y# `ltInt32#` intToInt32# 0#)
= ((x# `minusInt32#` y#) `minusInt32#` intToInt32# 1#) `quotInt32#` y#
| (x# `ltInt32#` intToInt32# 0#) && (y# `gtInt32#` intToInt32# 0#)
= ((x# `minusInt32#` y#) `plusInt32#` intToInt32# 1#) `quotInt32#` y#
| otherwise = x# `quotInt32#` y#
x# `modInt32#` y#
| (x# `gtInt32#` intToInt32# 0#) && (y# `ltInt32#` intToInt32# 0#) ||
(x# `ltInt32#` intToInt32# 0#) && (y# `gtInt32#` intToInt32# 0#)
= if r# `neInt32#` intToInt32# 0# then r# `plusInt32#` y# else intToInt32# 0#
| otherwise = r#
where
r# = x# `remInt32#` y#
instance Read Int32 where
readsPrec p s = [(fromInteger x, r) | (x, r) <- readsPrec p s]
instance Bits Int32 where
{-# INLINE shift #-}
(I32# x#) .&. (I32# y#) = I32# (word32ToInt32# (int32ToWord32# x# `and32#` int32ToWord32# y#))
(I32# x#) .|. (I32# y#) = I32# (word32ToInt32# (int32ToWord32# x# `or32#` int32ToWord32# y#))
(I32# x#) `xor` (I32# y#) = I32# (word32ToInt32# (int32ToWord32# x# `xor32#` int32ToWord32# y#))
complement (I32# x#) = I32# (word32ToInt32# (not32# (int32ToWord32# x#)))
(I32# x#) `shift` (I# i#)
| i# >=# 0# = I32# (x# `iShiftL32#` i#)
| otherwise = I32# (x# `iShiftRA32#` negateInt# i#)
(I32# x#) `rotate` (I# i#)
| i'# ==# 0#
= I32# x#
| otherwise
= I32# (word32ToInt32# ((x'# `shiftL32#` i'#) `or32#`
(x'# `shiftRL32#` (32# -# i'#))))
where
x'# = int32ToWord32# x#
i'# = word2Int# (int2Word# i# `and#` int2Word# 31#)
bitSize _ = 32
isSigned _ = True
foreign import "stg_eqInt32" unsafe eqInt32# :: Int32# -> Int32# -> Bool
foreign import "stg_neInt32" unsafe neInt32# :: Int32# -> Int32# -> Bool
foreign import "stg_ltInt32" unsafe ltInt32# :: Int32# -> Int32# -> Bool
foreign import "stg_leInt32" unsafe leInt32# :: Int32# -> Int32# -> Bool
foreign import "stg_gtInt32" unsafe gtInt32# :: Int32# -> Int32# -> Bool
foreign import "stg_geInt32" unsafe geInt32# :: Int32# -> Int32# -> Bool
foreign import "stg_plusInt32" unsafe plusInt32# :: Int32# -> Int32# -> Int32#
foreign import "stg_minusInt32" unsafe minusInt32# :: Int32# -> Int32# -> Int32#
foreign import "stg_timesInt32" unsafe timesInt32# :: Int32# -> Int32# -> Int32#
foreign import "stg_negateInt32" unsafe negateInt32# :: Int32# -> Int32#
foreign import "stg_quotInt32" unsafe quotInt32# :: Int32# -> Int32# -> Int32#
foreign import "stg_remInt32" unsafe remInt32# :: Int32# -> Int32# -> Int32#
foreign import "stg_intToInt32" unsafe intToInt32# :: Int# -> Int32#
foreign import "stg_int32ToInt" unsafe int32ToInt# :: Int32# -> Int#
foreign import "stg_wordToWord32" unsafe wordToWord32# :: Word# -> Word32#
foreign import "stg_int32ToWord32" unsafe int32ToWord32# :: Int32# -> Word32#
foreign import "stg_word32ToInt32" unsafe word32ToInt32# :: Word32# -> Int32#
foreign import "stg_and32" unsafe and32# :: Word32# -> Word32# -> Word32#
foreign import "stg_or32" unsafe or32# :: Word32# -> Word32# -> Word32#
foreign import "stg_xor32" unsafe xor32# :: Word32# -> Word32# -> Word32#
foreign import "stg_not32" unsafe not32# :: Word32# -> Word32#
foreign import "stg_iShiftL32" unsafe iShiftL32# :: Int32# -> Int# -> Int32#
foreign import "stg_iShiftRA32" unsafe iShiftRA32# :: Int32# -> Int# -> Int32#
foreign import "stg_shiftL32" unsafe shiftL32# :: Word32# -> Int# -> Word32#
foreign import "stg_shiftRL32" unsafe shiftRL32# :: Word32# -> Int# -> Word32#
{-# RULES
"fromIntegral/Int->Int32" fromIntegral = \(I# x#) -> I32# (intToInt32# x#)
"fromIntegral/Word->Int32" fromIntegral = \(W# x#) -> I32# (word32ToInt32# (wordToWord32# x#))
"fromIntegral/Word32->Int32" fromIntegral = \(W32# x#) -> I32# (word32ToInt32# x#)
"fromIntegral/Int32->Int" fromIntegral = \(I32# x#) -> I# (int32ToInt# x#)
"fromIntegral/Int32->Word" fromIntegral = \(I32# x#) -> W# (int2Word# (int32ToInt# x#))
"fromIntegral/Int32->Word32" fromIntegral = \(I32# x#) -> W32# (int32ToWord32# x#)
"fromIntegral/Int32->Int32" fromIntegral = id :: Int32 -> Int32
#-}
#else
-- Int32 is represented in the same way as Int.
#if WORD_SIZE_IN_BITS > 32
-- Operations may assume and must ensure that it holds only values
-- from its logical range.
#endif
data Int32 = I32# Int# deriving (Eq, Ord)
-- ^ 32-bit signed integer type
instance Show Int32 where
showsPrec p x = showsPrec p (fromIntegral x :: Int)
instance Num Int32 where
(I32# x#) + (I32# y#) = I32# (narrow32Int# (x# +# y#))
(I32# x#) - (I32# y#) = I32# (narrow32Int# (x# -# y#))
(I32# x#) * (I32# y#) = I32# (narrow32Int# (x# *# y#))
negate (I32# x#) = I32# (narrow32Int# (negateInt# x#))
abs x | x >= 0 = x
| otherwise = negate x
signum x | x > 0 = 1
signum 0 = 0
signum _ = -1
fromInteger (S# i#) = I32# (narrow32Int# i#)
fromInteger (J# s# d#) = I32# (narrow32Int# (integer2Int# s# d#))
instance Enum Int32 where
succ x
| x /= maxBound = x + 1
| otherwise = succError "Int32"
pred x
| x /= minBound = x - 1
| otherwise = predError "Int32"
#if WORD_SIZE_IN_BITS == 32
toEnum (I# i#) = I32# i#
#else
toEnum i@(I# i#)
| i >= fromIntegral (minBound::Int32) && i <= fromIntegral (maxBound::Int32)
= I32# i#
| otherwise = toEnumError "Int32" i (minBound::Int32, maxBound::Int32)
#endif
fromEnum (I32# x#) = I# x#
enumFrom = boundedEnumFrom
enumFromThen = boundedEnumFromThen
instance Integral Int32 where
quot x@(I32# x#) y@(I32# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = I32# (narrow32Int# (x# `quotInt#` y#))
rem x@(I32# x#) y@(I32# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = I32# (narrow32Int# (x# `remInt#` y#))
div x@(I32# x#) y@(I32# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = I32# (narrow32Int# (x# `divInt#` y#))
mod x@(I32# x#) y@(I32# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = I32# (narrow32Int# (x# `modInt#` y#))
quotRem x@(I32# x#) y@(I32# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = (I32# (narrow32Int# (x# `quotInt#` y#)),
I32# (narrow32Int# (x# `remInt#` y#)))
divMod x@(I32# x#) y@(I32# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = (I32# (narrow32Int# (x# `divInt#` y#)),
I32# (narrow32Int# (x# `modInt#` y#)))
toInteger (I32# x#) = S# x#
instance Read Int32 where
readsPrec p s = [(fromIntegral (x::Int), r) | (x, r) <- readsPrec p s]
instance Bits Int32 where
{-# INLINE shift #-}
(I32# x#) .&. (I32# y#) = I32# (word2Int# (int2Word# x# `and#` int2Word# y#))
(I32# x#) .|. (I32# y#) = I32# (word2Int# (int2Word# x# `or#` int2Word# y#))
(I32# x#) `xor` (I32# y#) = I32# (word2Int# (int2Word# x# `xor#` int2Word# y#))
complement (I32# x#) = I32# (word2Int# (int2Word# x# `xor#` int2Word# (-1#)))
(I32# x#) `shift` (I# i#)
| i# >=# 0# = I32# (narrow32Int# (x# `iShiftL#` i#))
| otherwise = I32# (x# `iShiftRA#` negateInt# i#)
(I32# x#) `rotate` (I# i#)
| i'# ==# 0#
= I32# x#
| otherwise
= I32# (narrow32Int# (word2Int# ((x'# `uncheckedShiftL#` i'#) `or#`
(x'# `uncheckedShiftRL#` (32# -# i'#)))))
where
x'# = narrow32Word# (int2Word# x#)
i'# = word2Int# (int2Word# i# `and#` int2Word# 31#)
bitSize _ = 32
isSigned _ = True
{-# RULES
"fromIntegral/Word8->Int32" fromIntegral = \(W8# x#) -> I32# (word2Int# x#)
"fromIntegral/Word16->Int32" fromIntegral = \(W16# x#) -> I32# (word2Int# x#)
"fromIntegral/Int8->Int32" fromIntegral = \(I8# x#) -> I32# x#
"fromIntegral/Int16->Int32" fromIntegral = \(I16# x#) -> I32# x#
"fromIntegral/Int32->Int32" fromIntegral = id :: Int32 -> Int32
"fromIntegral/a->Int32" fromIntegral = \x -> case fromIntegral x of I# x# -> I32# (narrow32Int# x#)
"fromIntegral/Int32->a" fromIntegral = \(I32# x#) -> fromIntegral (I# x#)
#-}
#endif
instance Real Int32 where
toRational x = toInteger x % 1
instance Bounded Int32 where
minBound = -0x80000000
maxBound = 0x7FFFFFFF
instance Ix Int32 where
range (m,n) = [m..n]
unsafeIndex b@(m,_) i = fromIntegral i - fromIntegral m
inRange (m,n) i = m <= i && i <= n
------------------------------------------------------------------------
-- type Int64
------------------------------------------------------------------------
#if WORD_SIZE_IN_BITS < 64
data Int64 = I64# Int64#
-- ^ 64-bit signed integer type
instance Eq Int64 where
(I64# x#) == (I64# y#) = x# `eqInt64#` y#
(I64# x#) /= (I64# y#) = x# `neInt64#` y#
instance Ord Int64 where
(I64# x#) < (I64# y#) = x# `ltInt64#` y#
(I64# x#) <= (I64# y#) = x# `leInt64#` y#
(I64# x#) > (I64# y#) = x# `gtInt64#` y#
(I64# x#) >= (I64# y#) = x# `geInt64#` y#
instance Show Int64 where
showsPrec p x = showsPrec p (toInteger x)
instance Num Int64 where
(I64# x#) + (I64# y#) = I64# (x# `plusInt64#` y#)
(I64# x#) - (I64# y#) = I64# (x# `minusInt64#` y#)
(I64# x#) * (I64# y#) = I64# (x# `timesInt64#` y#)
negate (I64# x#) = I64# (negateInt64# x#)
abs x | x >= 0 = x
| otherwise = negate x
signum x | x > 0 = 1
signum 0 = 0
signum _ = -1
fromInteger (S# i#) = I64# (intToInt64# i#)
fromInteger (J# s# d#) = I64# (integerToInt64# s# d#)
instance Enum Int64 where
succ x
| x /= maxBound = x + 1
| otherwise = succError "Int64"
pred x
| x /= minBound = x - 1
| otherwise = predError "Int64"
toEnum (I# i#) = I64# (intToInt64# i#)
fromEnum x@(I64# x#)
| x >= fromIntegral (minBound::Int) && x <= fromIntegral (maxBound::Int)
= I# (int64ToInt# x#)
| otherwise = fromEnumError "Int64" x
enumFrom = integralEnumFrom
enumFromThen = integralEnumFromThen
enumFromTo = integralEnumFromTo
enumFromThenTo = integralEnumFromThenTo
instance Integral Int64 where
quot x@(I64# x#) y@(I64# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = I64# (x# `quotInt64#` y#)
rem x@(I64# x#) y@(I64# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = I64# (x# `remInt64#` y#)
div x@(I64# x#) y@(I64# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = I64# (x# `divInt64#` y#)
mod x@(I64# x#) y@(I64# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = I64# (x# `modInt64#` y#)
quotRem x@(I64# x#) y@(I64# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = (I64# (x# `quotInt64#` y#),
I64# (x# `remInt64#` y#))
divMod x@(I64# x#) y@(I64# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = (I64# (x# `divInt64#` y#),
I64# (x# `modInt64#` y#))
toInteger x@(I64# x#)
| x >= fromIntegral (minBound::Int) &&
x <= fromIntegral (maxBound::Int)
= S# (int64ToInt# x#)
| otherwise = case int64ToInteger# x# of
(# s, d #) -> J# s d
divInt64#, modInt64# :: Int64# -> Int64# -> Int64#
x# `divInt64#` y#
| (x# `gtInt64#` intToInt64# 0#) && (y# `ltInt64#` intToInt64# 0#)
= ((x# `minusInt64#` y#) `minusInt64#` intToInt64# 1#) `quotInt64#` y#
| (x# `ltInt64#` intToInt64# 0#) && (y# `gtInt64#` intToInt64# 0#)
= ((x# `minusInt64#` y#) `plusInt64#` intToInt64# 1#) `quotInt64#` y#
| otherwise = x# `quotInt64#` y#
x# `modInt64#` y#
| (x# `gtInt64#` intToInt64# 0#) && (y# `ltInt64#` intToInt64# 0#) ||
(x# `ltInt64#` intToInt64# 0#) && (y# `gtInt64#` intToInt64# 0#)
= if r# `neInt64#` intToInt64# 0# then r# `plusInt64#` y# else intToInt64# 0#
| otherwise = r#
where
r# = x# `remInt64#` y#
instance Read Int64 where
readsPrec p s = [(fromInteger x, r) | (x, r) <- readsPrec p s]
instance Bits Int64 where
{-# INLINE shift #-}
(I64# x#) .&. (I64# y#) = I64# (word64ToInt64# (int64ToWord64# x# `and64#` int64ToWord64# y#))
(I64# x#) .|. (I64# y#) = I64# (word64ToInt64# (int64ToWord64# x# `or64#` int64ToWord64# y#))
(I64# x#) `xor` (I64# y#) = I64# (word64ToInt64# (int64ToWord64# x# `xor64#` int64ToWord64# y#))
complement (I64# x#) = I64# (word64ToInt64# (not64# (int64ToWord64# x#)))
(I64# x#) `shift` (I# i#)
| i# >=# 0# = I64# (x# `iShiftL64#` i#)
| otherwise = I64# (x# `iShiftRA64#` negateInt# i#)
(I64# x#) `rotate` (I# i#)
| i'# ==# 0#
= I64# x#
| otherwise
= I64# (word64ToInt64# ((x'# `uncheckedShiftL64#` i'#) `or64#`
(x'# `uncheckedShiftRL64#` (64# -# i'#))))
where
x'# = int64ToWord64# x#
i'# = word2Int# (int2Word# i# `and#` int2Word# 63#)
bitSize _ = 64
isSigned _ = True
-- give the 64-bit shift operations the same treatment as the 32-bit
-- ones (see GHC.Base), namely we wrap them in tests to catch the
-- cases when we're shifting more than 64 bits to avoid unspecified
-- behaviour in the C shift operations.
iShiftL64#, iShiftRA64# :: Int64# -> Int# -> Int64#
a `iShiftL64#` b | b >=# 64# = intToInt64# 0#
| otherwise = a `uncheckedIShiftL64#` b
a `iShiftRA64#` b | b >=# 64# = if a `ltInt64#` (intToInt64# 0#)
then intToInt64# (-1#)
else intToInt64# 0#
| otherwise = a `uncheckedIShiftRA64#` b
foreign import ccall unsafe "hs_eqInt64" eqInt64# :: Int64# -> Int64# -> Bool
foreign import ccall unsafe "hs_neInt64" neInt64# :: Int64# -> Int64# -> Bool
foreign import ccall unsafe "hs_ltInt64" ltInt64# :: Int64# -> Int64# -> Bool
foreign import ccall unsafe "hs_leInt64" leInt64# :: Int64# -> Int64# -> Bool
foreign import ccall unsafe "hs_gtInt64" gtInt64# :: Int64# -> Int64# -> Bool
foreign import ccall unsafe "hs_geInt64" geInt64# :: Int64# -> Int64# -> Bool
foreign import ccall unsafe "hs_plusInt64" plusInt64# :: Int64# -> Int64# -> Int64#
foreign import ccall unsafe "hs_minusInt64" minusInt64# :: Int64# -> Int64# -> Int64#
foreign import ccall unsafe "hs_timesInt64" timesInt64# :: Int64# -> Int64# -> Int64#
foreign import ccall unsafe "hs_negateInt64" negateInt64# :: Int64# -> Int64#
foreign import ccall unsafe "hs_quotInt64" quotInt64# :: Int64# -> Int64# -> Int64#
foreign import ccall unsafe "hs_remInt64" remInt64# :: Int64# -> Int64# -> Int64#
foreign import ccall unsafe "hs_intToInt64" intToInt64# :: Int# -> Int64#
foreign import ccall unsafe "hs_int64ToInt" int64ToInt# :: Int64# -> Int#
foreign import ccall unsafe "hs_wordToWord64" wordToWord64# :: Word# -> Word64#
foreign import ccall unsafe "hs_int64ToWord64" int64ToWord64# :: Int64# -> Word64#
foreign import ccall unsafe "hs_word64ToInt64" word64ToInt64# :: Word64# -> Int64#
foreign import ccall unsafe "hs_and64" and64# :: Word64# -> Word64# -> Word64#
foreign import ccall unsafe "hs_or64" or64# :: Word64# -> Word64# -> Word64#
foreign import ccall unsafe "hs_xor64" xor64# :: Word64# -> Word64# -> Word64#
foreign import ccall unsafe "hs_not64" not64# :: Word64# -> Word64#
foreign import ccall unsafe "hs_uncheckedShiftL64" uncheckedShiftL64# :: Word64# -> Int# -> Word64#
foreign import ccall unsafe "hs_uncheckedShiftRL64" uncheckedShiftRL64# :: Word64# -> Int# -> Word64#
foreign import ccall unsafe "hs_uncheckedIShiftL64" uncheckedIShiftL64# :: Int64# -> Int# -> Int64#
foreign import ccall unsafe "hs_uncheckedIShiftRA64" uncheckedIShiftRA64# :: Int64# -> Int# -> Int64#
foreign import ccall unsafe "hs_integerToInt64" integerToInt64# :: Int# -> ByteArray# -> Int64#
{-# RULES
"fromIntegral/Int->Int64" fromIntegral = \(I# x#) -> I64# (intToInt64# x#)
"fromIntegral/Word->Int64" fromIntegral = \(W# x#) -> I64# (word64ToInt64# (wordToWord64# x#))
"fromIntegral/Word64->Int64" fromIntegral = \(W64# x#) -> I64# (word64ToInt64# x#)
"fromIntegral/Int64->Int" fromIntegral = \(I64# x#) -> I# (int64ToInt# x#)
"fromIntegral/Int64->Word" fromIntegral = \(I64# x#) -> W# (int2Word# (int64ToInt# x#))
"fromIntegral/Int64->Word64" fromIntegral = \(I64# x#) -> W64# (int64ToWord64# x#)
"fromIntegral/Int64->Int64" fromIntegral = id :: Int64 -> Int64
#-}
#else
-- Int64 is represented in the same way as Int.
-- Operations may assume and must ensure that it holds only values
-- from its logical range.
data Int64 = I64# Int# deriving (Eq, Ord)
-- ^ 64-bit signed integer type
instance Show Int64 where
showsPrec p x = showsPrec p (fromIntegral x :: Int)
instance Num Int64 where
(I64# x#) + (I64# y#) = I64# (x# +# y#)
(I64# x#) - (I64# y#) = I64# (x# -# y#)
(I64# x#) * (I64# y#) = I64# (x# *# y#)
negate (I64# x#) = I64# (negateInt# x#)
abs x | x >= 0 = x
| otherwise = negate x
signum x | x > 0 = 1
signum 0 = 0
signum _ = -1
fromInteger (S# i#) = I64# i#
fromInteger (J# s# d#) = I64# (integer2Int# s# d#)
instance Enum Int64 where
succ x
| x /= maxBound = x + 1
| otherwise = succError "Int64"
pred x
| x /= minBound = x - 1
| otherwise = predError "Int64"
toEnum (I# i#) = I64# i#
fromEnum (I64# x#) = I# x#
enumFrom = boundedEnumFrom
enumFromThen = boundedEnumFromThen
instance Integral Int64 where
quot x@(I64# x#) y@(I64# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = I64# (x# `quotInt#` y#)
rem x@(I64# x#) y@(I64# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = I64# (x# `remInt#` y#)
div x@(I64# x#) y@(I64# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = I64# (x# `divInt#` y#)
mod x@(I64# x#) y@(I64# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = I64# (x# `modInt#` y#)
quotRem x@(I64# x#) y@(I64# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = (I64# (x# `quotInt#` y#), I64# (x# `remInt#` y#))
divMod x@(I64# x#) y@(I64# y#)
| y == 0 = divZeroError
| x == minBound && y == (-1) = overflowError
| otherwise = (I64# (x# `divInt#` y#), I64# (x# `modInt#` y#))
toInteger (I64# x#) = S# x#
instance Read Int64 where
readsPrec p s = [(fromIntegral (x::Int), r) | (x, r) <- readsPrec p s]
instance Bits Int64 where
{-# INLINE shift #-}
(I64# x#) .&. (I64# y#) = I64# (word2Int# (int2Word# x# `and#` int2Word# y#))
(I64# x#) .|. (I64# y#) = I64# (word2Int# (int2Word# x# `or#` int2Word# y#))
(I64# x#) `xor` (I64# y#) = I64# (word2Int# (int2Word# x# `xor#` int2Word# y#))
complement (I64# x#) = I64# (word2Int# (int2Word# x# `xor#` int2Word# (-1#)))
(I64# x#) `shift` (I# i#)
| i# >=# 0# = I64# (x# `iShiftL#` i#)
| otherwise = I64# (x# `iShiftRA#` negateInt# i#)
(I64# x#) `rotate` (I# i#)
| i'# ==# 0#
= I64# x#
| otherwise
= I64# (word2Int# ((x'# `uncheckedShiftL#` i'#) `or#`
(x'# `uncheckedShiftRL#` (64# -# i'#))))
where
x'# = int2Word# x#
i'# = word2Int# (int2Word# i# `and#` int2Word# 63#)
bitSize _ = 64
isSigned _ = True
{-# RULES
"fromIntegral/a->Int64" fromIntegral = \x -> case fromIntegral x of I# x# -> I64# x#
"fromIntegral/Int64->a" fromIntegral = \(I64# x#) -> fromIntegral (I# x#)
#-}
#endif
instance Real Int64 where
toRational x = toInteger x % 1
instance Bounded Int64 where
minBound = -0x8000000000000000
maxBound = 0x7FFFFFFFFFFFFFFF
instance Ix Int64 where
range (m,n) = [m..n]
unsafeIndex b@(m,_) i = fromIntegral i - fromIntegral m
inRange (m,n) i = m <= i && i <= n
|
