-{-# OPTIONS_GHC -XNoImplicitPrelude #-}
+{-# LANGUAGE CPP, NoImplicitPrelude, BangPatterns, MagicHash #-}
{-# OPTIONS_HADDOCK hide #-}
-----------------------------------------------------------------------------
-- |
import GHC.Real
import GHC.Read
import GHC.Arr
+import GHC.Err
import GHC.Word hiding (uncheckedShiftL64#, uncheckedShiftRL64#)
import GHC.Show
+import GHC.Float () -- for RealFrac methods
------------------------------------------------------------------------
-- type Int8
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
+ range (m,n) = [m..n]
+ unsafeIndex (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]
= I8# (narrow8Int# (word2Int# ((x'# `uncheckedShiftL#` i'#) `or#`
(x'# `uncheckedShiftRL#` (8# -# i'#)))))
where
- x'# = narrow8Word# (int2Word# x#)
- i'# = word2Int# (int2Word# i# `and#` int2Word# 7#)
+ !x'# = narrow8Word# (int2Word# x#)
+ !i'# = word2Int# (int2Word# i# `and#` int2Word# 7#)
bitSize _ = 8
isSigned _ = True
- {-# INLINE shiftR #-}
- -- same as the default definition, but we want it inlined (#2376)
- x `shiftR` i = x `shift` (-i)
-
{-# 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#)
#-}
+{-# RULES
+"properFraction/Float->(Int8,Float)"
+ forall x. properFraction (x :: Float) =
+ case properFraction x of {
+ (n, y) -> ((fromIntegral :: Int -> Int8) n, y) }
+"truncate/Float->Int8"
+ forall x. truncate (x :: Float) = (fromIntegral :: Int -> Int8) (truncate x)
+"floor/Float->Int8"
+ forall x. floor (x :: Float) = (fromIntegral :: Int -> Int8) (floor x)
+"ceiling/Float->Int8"
+ forall x. ceiling (x :: Float) = (fromIntegral :: Int -> Int8) (ceiling x)
+"round/Float->Int8"
+ forall x. round (x :: Float) = (fromIntegral :: Int -> Int8) (round x)
+ #-}
+
+{-# RULES
+"properFraction/Double->(Int8,Double)"
+ forall x. properFraction (x :: Double) =
+ case properFraction x of {
+ (n, y) -> ((fromIntegral :: Int -> Int8) n, y) }
+"truncate/Double->Int8"
+ forall x. truncate (x :: Double) = (fromIntegral :: Int -> Int8) (truncate x)
+"floor/Double->Int8"
+ forall x. floor (x :: Double) = (fromIntegral :: Int -> Int8) (floor x)
+"ceiling/Double->Int8"
+ forall x. ceiling (x :: Double) = (fromIntegral :: Int -> Int8) (ceiling x)
+"round/Double->Int8"
+ forall x. round (x :: Double) = (fromIntegral :: Int -> Int8) (round x)
+ #-}
+
------------------------------------------------------------------------
-- type Int16
------------------------------------------------------------------------
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
+ range (m,n) = [m..n]
+ unsafeIndex (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]
= I16# (narrow16Int# (word2Int# ((x'# `uncheckedShiftL#` i'#) `or#`
(x'# `uncheckedShiftRL#` (16# -# i'#)))))
where
- x'# = narrow16Word# (int2Word# x#)
- i'# = word2Int# (int2Word# i# `and#` int2Word# 15#)
+ !x'# = narrow16Word# (int2Word# x#)
+ !i'# = word2Int# (int2Word# i# `and#` int2Word# 15#)
bitSize _ = 16
isSigned _ = True
- {-# INLINE shiftR #-}
- -- same as the default definition, but we want it inlined (#2376)
- x `shiftR` i = x `shift` (-i)
{-# RULES
"fromIntegral/Word8->Int16" fromIntegral = \(W8# x#) -> I16# (word2Int# x#)
"fromIntegral/Int16->a" fromIntegral = \(I16# x#) -> fromIntegral (I# x#)
#-}
+{-# RULES
+"properFraction/Float->(Int16,Float)"
+ forall x. properFraction (x :: Float) =
+ case properFraction x of {
+ (n, y) -> ((fromIntegral :: Int -> Int16) n, y) }
+"truncate/Float->Int16"
+ forall x. truncate (x :: Float) = (fromIntegral :: Int -> Int16) (truncate x)
+"floor/Float->Int16"
+ forall x. floor (x :: Float) = (fromIntegral :: Int -> Int16) (floor x)
+"ceiling/Float->Int16"
+ forall x. ceiling (x :: Float) = (fromIntegral :: Int -> Int16) (ceiling x)
+"round/Float->Int16"
+ forall x. round (x :: Float) = (fromIntegral :: Int -> Int16) (round x)
+ #-}
+
+{-# RULES
+"properFraction/Double->(Int16,Double)"
+ forall x. properFraction (x :: Double) =
+ case properFraction x of {
+ (n, y) -> ((fromIntegral :: Int -> Int16) n, y) }
+"truncate/Double->Int16"
+ forall x. truncate (x :: Double) = (fromIntegral :: Int -> Int16) (truncate x)
+"floor/Double->Int16"
+ forall x. floor (x :: Double) = (fromIntegral :: Int -> Int16) (floor x)
+"ceiling/Double->Int16"
+ forall x. ceiling (x :: Double) = (fromIntegral :: Int -> Int16) (ceiling x)
+"round/Double->Int16"
+ forall x. round (x :: Double) = (fromIntegral :: Int -> Int16) (round x)
+ #-}
+
------------------------------------------------------------------------
-- type Int32
------------------------------------------------------------------------
bitSize _ = 32
isSigned _ = True
- {-# INLINE shiftR #-}
- -- same as the default definition, but we want it inlined (#2376)
- x `shiftR` i = x `shift` (-i)
{-# RULES
"fromIntegral/Int->Int32" fromIntegral = \(I# x#) -> I32# (intToInt32# x#)
"fromIntegral/Int32->Int32" fromIntegral = id :: Int32 -> Int32
#-}
-#else
+-- No rules for RealFrac methods if Int32 is larger than Int
+#else
-- Int32 is represented in the same way as Int.
#if WORD_SIZE_IN_BITS > 32
= I32# (narrow32Int# (word2Int# ((x'# `uncheckedShiftL#` i'#) `or#`
(x'# `uncheckedShiftRL#` (32# -# i'#)))))
where
- x'# = narrow32Word# (int2Word# x#)
- i'# = word2Int# (int2Word# i# `and#` int2Word# 31#)
+ !x'# = narrow32Word# (int2Word# x#)
+ !i'# = word2Int# (int2Word# i# `and#` int2Word# 31#)
bitSize _ = 32
isSigned _ = True
- {-# INLINE shiftR #-}
- -- same as the default definition, but we want it inlined (#2376)
- x `shiftR` i = x `shift` (-i)
-
{-# RULES
"fromIntegral/Word8->Int32" fromIntegral = \(W8# x#) -> I32# (word2Int# x#)
"fromIntegral/Word16->Int32" fromIntegral = \(W16# x#) -> I32# (word2Int# x#)
"fromIntegral/Int32->a" fromIntegral = \(I32# x#) -> fromIntegral (I# x#)
#-}
-#endif
+{-# RULES
+"properFraction/Float->(Int32,Float)"
+ forall x. properFraction (x :: Float) =
+ case properFraction x of {
+ (n, y) -> ((fromIntegral :: Int -> Int32) n, y) }
+"truncate/Float->Int32"
+ forall x. truncate (x :: Float) = (fromIntegral :: Int -> Int32) (truncate x)
+"floor/Float->Int32"
+ forall x. floor (x :: Float) = (fromIntegral :: Int -> Int32) (floor x)
+"ceiling/Float->Int32"
+ forall x. ceiling (x :: Float) = (fromIntegral :: Int -> Int32) (ceiling x)
+"round/Float->Int32"
+ forall x. round (x :: Float) = (fromIntegral :: Int -> Int32) (round x)
+ #-}
+
+{-# RULES
+"properFraction/Double->(Int32,Double)"
+ forall x. properFraction (x :: Double) =
+ case properFraction x of {
+ (n, y) -> ((fromIntegral :: Int -> Int32) n, y) }
+"truncate/Double->Int32"
+ forall x. truncate (x :: Double) = (fromIntegral :: Int -> Int32) (truncate x)
+"floor/Double->Int32"
+ forall x. floor (x :: Double) = (fromIntegral :: Int -> Int32) (floor x)
+"ceiling/Double->Int32"
+ forall x. ceiling (x :: Double) = (fromIntegral :: Int -> Int32) (ceiling x)
+"round/Double->Int32"
+ forall x. round (x :: Double) = (fromIntegral :: Int -> Int32) (round x)
+ #-}
+
+#endif
instance Real Int32 where
toRational x = toInteger x % 1
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
+ range (m,n) = [m..n]
+ unsafeIndex (m,_) i = fromIntegral i - fromIntegral m
+ inRange (m,n) i = m <= i && i <= n
------------------------------------------------------------------------
-- type Int64
= if r# `neInt64#` intToInt64# 0# then r# `plusInt64#` y# else intToInt64# 0#
| otherwise = r#
where
- r# = x# `remInt64#` y#
+ !r# = x# `remInt64#` y#
instance Read Int64 where
readsPrec p s = [(fromInteger x, r) | (x, r) <- readsPrec p s]
= I64# (word64ToInt64# ((x'# `uncheckedShiftL64#` i'#) `or64#`
(x'# `uncheckedShiftRL64#` (64# -# i'#))))
where
- x'# = int64ToWord64# x#
- i'# = word2Int# (int2Word# i# `and#` int2Word# 63#)
+ !x'# = int64ToWord64# x#
+ !i'# = word2Int# (int2Word# i# `and#` int2Word# 63#)
bitSize _ = 64
isSigned _ = True
- {-# INLINE shiftR #-}
- -- same as the default definition, but we want it inlined (#2376)
- x `shiftR` i = x `shift` (-i)
-
-
-- 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
"fromIntegral/Int64->Int64" fromIntegral = id :: Int64 -> Int64
#-}
-#else
+-- No RULES for RealFrac methods if Int is smaller than Int64, we can't
+-- go through Int and whether going through Integer is faster is uncertain.
+#else
-- Int64 is represented in the same way as Int.
-- Operations may assume and must ensure that it holds only values
= I64# (word2Int# ((x'# `uncheckedShiftL#` i'#) `or#`
(x'# `uncheckedShiftRL#` (64# -# i'#))))
where
- x'# = int2Word# x#
- i'# = word2Int# (int2Word# i# `and#` int2Word# 63#)
+ !x'# = int2Word# x#
+ !i'# = word2Int# (int2Word# i# `and#` int2Word# 63#)
bitSize _ = 64
isSigned _ = True
- {-# INLINE shiftR #-}
- -- same as the default definition, but we want it inlined (#2376)
- x `shiftR` i = x `shift` (-i)
-
{-# RULES
"fromIntegral/a->Int64" fromIntegral = \x -> case fromIntegral x of I# x# -> I64# x#
"fromIntegral/Int64->a" fromIntegral = \(I64# x#) -> fromIntegral (I# x#)
#-}
+{-# RULES
+"properFraction/Float->(Int64,Float)"
+ forall x. properFraction (x :: Float) =
+ case properFraction x of {
+ (n, y) -> ((fromIntegral :: Int -> Int64) n, y) }
+"truncate/Float->Int64"
+ forall x. truncate (x :: Float) = (fromIntegral :: Int -> Int64) (truncate x)
+"floor/Float->Int64"
+ forall x. floor (x :: Float) = (fromIntegral :: Int -> Int64) (floor x)
+"ceiling/Float->Int64"
+ forall x. ceiling (x :: Float) = (fromIntegral :: Int -> Int64) (ceiling x)
+"round/Float->Int64"
+ forall x. round (x :: Float) = (fromIntegral :: Int -> Int64) (round x)
+ #-}
+
+{-# RULES
+"properFraction/Double->(Int64,Double)"
+ forall x. properFraction (x :: Double) =
+ case properFraction x of {
+ (n, y) -> ((fromIntegral :: Int -> Int64) n, y) }
+"truncate/Double->Int64"
+ forall x. truncate (x :: Double) = (fromIntegral :: Int -> Int64) (truncate x)
+"floor/Double->Int64"
+ forall x. floor (x :: Double) = (fromIntegral :: Int -> Int64) (floor x)
+"ceiling/Double->Int64"
+ forall x. ceiling (x :: Double) = (fromIntegral :: Int -> Int64) (ceiling x)
+"round/Double->Int64"
+ forall x. round (x :: Double) = (fromIntegral :: Int -> Int64) (round x)
+ #-}
+
+uncheckedIShiftL64# :: Int# -> Int# -> Int#
uncheckedIShiftL64# = uncheckedIShiftL#
+
+uncheckedIShiftRA64# :: Int# -> Int# -> Int#
uncheckedIShiftRA64# = uncheckedIShiftRA#
#endif
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
+ range (m,n) = [m..n]
+ unsafeIndex (m,_) i = fromIntegral i - fromIntegral m
+ inRange (m,n) i = m <= i && i <= n