\section[PrelNum]{Module @PrelNum@}
+The class
+
+ Num
+
+and the type
+
+ Integer
+
+
\begin{code}
{-# OPTIONS -fno-implicit-prelude #-}
import PrelEnum
import PrelShow
-infixr 8 ^, ^^, **
-infixl 7 %, /, `quot`, `rem`, `div`, `mod`
infixl 7 *
infixl 6 +, -
+default () -- Double isn't available yet,
+ -- and we shouldn't be using defaults anyway
\end{code}
%*********************************************************
%* *
-\subsection{Standard numeric classes}
+\subsection{Standard numeric class}
%* *
%*********************************************************
fromInt (I# i#) = fromInteger (S# i#)
-- Go via the standard class-op if the
-- non-standard one ain't provided
+\end{code}
-class (Num a, Ord a) => Real a where
- toRational :: a -> Rational
-
-class (Real a, Enum a) => Integral a where
- quot, rem, div, mod :: a -> a -> a
- quotRem, divMod :: a -> a -> (a,a)
- toInteger :: a -> Integer
- toInt :: a -> Int -- partain: Glasgow extension
-
- n `quot` d = q where (q,_) = quotRem n d
- n `rem` d = r where (_,r) = quotRem n d
- n `div` d = q where (q,_) = divMod n d
- n `mod` d = r where (_,r) = divMod n d
- divMod n d = if signum r == negate (signum d) then (q-1, r+d) else qr
- where qr@(q,r) = quotRem n d
-
-class (Num a) => Fractional a where
- (/) :: a -> a -> a
- recip :: a -> a
- fromRational :: Rational -> a
-
- recip x = 1 / x
- x / y = x * recip y
-
-class (Fractional a) => Floating a where
- pi :: a
- exp, log, sqrt :: a -> a
- (**), logBase :: a -> a -> a
- sin, cos, tan :: a -> a
- asin, acos, atan :: a -> a
- sinh, cosh, tanh :: a -> a
- asinh, acosh, atanh :: a -> a
-
- x ** y = exp (log x * y)
- logBase x y = log y / log x
- sqrt x = x ** 0.5
- tan x = sin x / cos x
- tanh x = sinh x / cosh x
-
-class (Real a, Fractional a) => RealFrac a where
- properFraction :: (Integral b) => a -> (b,a)
- truncate, round :: (Integral b) => a -> b
- ceiling, floor :: (Integral b) => a -> b
-
- truncate x = m where (m,_) = properFraction x
-
- round x = let (n,r) = properFraction x
- m = if r < 0 then n - 1 else n + 1
- in case signum (abs r - 0.5) of
- -1 -> n
- 0 -> if even n then n else m
- 1 -> m
-
- ceiling x = if r > 0 then n + 1 else n
- where (n,r) = properFraction x
-
- floor x = if r < 0 then n - 1 else n
- where (n,r) = properFraction x
-
-class (RealFrac a, Floating a) => RealFloat a where
- floatRadix :: a -> Integer
- floatDigits :: a -> Int
- floatRange :: a -> (Int,Int)
- decodeFloat :: a -> (Integer,Int)
- encodeFloat :: Integer -> Int -> a
- exponent :: a -> Int
- significand :: a -> a
- scaleFloat :: Int -> a -> a
- isNaN, isInfinite, isDenormalized, isNegativeZero, isIEEE
- :: a -> Bool
- atan2 :: a -> a -> a
-
-
- exponent x = if m == 0 then 0 else n + floatDigits x
- where (m,n) = decodeFloat x
-
- significand x = encodeFloat m (negate (floatDigits x))
- where (m,_) = decodeFloat x
-
- scaleFloat k x = encodeFloat m (n+k)
- where (m,n) = decodeFloat x
-
- atan2 y x
- | x > 0 = atan (y/x)
- | x == 0 && y > 0 = pi/2
- | x < 0 && y > 0 = pi + atan (y/x)
- |(x <= 0 && y < 0) ||
- (x < 0 && isNegativeZero y) ||
- (isNegativeZero x && isNegativeZero y)
- = -atan2 (-y) x
- | y == 0 && (x < 0 || isNegativeZero x)
- = pi -- must be after the previous test on zero y
- | x==0 && y==0 = y -- must be after the other double zero tests
- | otherwise = x + y -- x or y is a NaN, return a NaN (via +)
+A few small numeric functions
+\begin{code}
+subtract :: (Num a) => a -> a -> a
+{-# INLINE subtract #-}
+subtract x y = y - x
+
+ord_0 :: Num a => a
+ord_0 = fromInt (ord '0')
\end{code}
+
%*********************************************************
%* *
\subsection{Instances for @Int@}
| n `eqInt` 0 = 0
| otherwise = 1
- fromInteger (S# i#) = I# i#
- fromInteger (J# s# d#)
- = case (integer2Int# s# d#) of { i# -> I# i# }
+ fromInteger n = integer2Int n
+ fromInt n = n
+\end{code}
- fromInt n = n
-instance Real Int where
- toRational x = toInteger x % 1
+\begin{code}
+-- These can't go in PrelBase with the defn of Int, because
+-- we don't have pairs defined at that time!
-instance Integral Int where
- a@(I# _) `quotRem` b@(I# _) = (a `quotInt` b, a `remInt` b)
+quotRemInt :: Int -> Int -> (Int, Int)
+a@(I# _) `quotRemInt` b@(I# _) = (a `quotInt` b, a `remInt` b)
-- OK, so I made it a little stricter. Shoot me. (WDP 94/10)
- -- Following chks for zero divisor are non-standard (WDP)
- a `quot` b = if b /= 0
- then a `quotInt` b
- else error "Prelude.Integral.quot{Int}: divide by 0"
- a `rem` b = if b /= 0
- then a `remInt` b
- else error "Prelude.Integral.rem{Int}: divide by 0"
-
- x `div` y = if x > 0 && y < 0 then quotInt (x-y-1) y
- else if x < 0 && y > 0 then quotInt (x-y+1) y
- else quotInt x y
- x `mod` y = if x > 0 && y < 0 || x < 0 && y > 0 then
- if r/=0 then r+y else 0
- else
- r
- where r = remInt x y
-
- divMod x@(I# _) y@(I# _) = (x `div` y, x `mod` y)
+divModInt :: Int -> Int -> (Int, Int)
+divModInt x@(I# _) y@(I# _) = (x `divInt` y, x `modInt` y)
-- Stricter. Sorry if you don't like it. (WDP 94/10)
+\end{code}
+
+
+%*********************************************************
+%* *
+\subsection{The @Integer@ type}
+%* *
+%*********************************************************
+
+\begin{code}
+data Integer
+ = S# Int# -- small integers
+ | J# Int# ByteArray# -- large integers
+\end{code}
+
+Convenient boxed Integer PrimOps.
+
+\begin{code}
+zeroInteger :: Integer
+zeroInteger = S# 0#
---OLD: even x = eqInt (x `mod` 2) 0
---OLD: odd x = neInt (x `mod` 2) 0
+int2Integer :: Int -> Integer
+{-# INLINE int2Integer #-}
+int2Integer (I# i) = S# i
- toInteger (I# i) = int2Integer i -- give back a full-blown Integer
- toInt x = x
+integer2Int :: Integer -> Int
+integer2Int (S# i) = I# i
+integer2Int (J# s d) = case (integer2Int# s d) of { n# -> I# n# }
+addr2Integer :: Addr# -> Integer
+{-# INLINE addr2Integer #-}
+addr2Integer x = case addr2Integer# x of (# s, d #) -> J# s d
+
+toBig (S# i) = case int2Integer# i of { (# s, d #) -> J# s d }
+toBig i@(J# _ _) = i
\end{code}
+
%*********************************************************
%* *
-\subsection{Instances for @Integer@}
+\subsection{Dividing @Integers@}
%* *
%*********************************************************
\begin{code}
-toBig (S# i) = case int2Integer# i of { (# s, d #) -> J# s d }
-toBig i@(J# _ _) = i
+quotRemInteger :: Integer -> Integer -> (Integer, Integer)
+quotRemInteger (S# i) (S# j)
+ = case quotRemInt (I# i) (I# j) of ( I# i, I# j ) -> ( S# i, S# j )
+quotRemInteger i1@(J# _ _) i2@(S# _) = quotRemInteger i1 (toBig i2)
+quotRemInteger i1@(S# _) i2@(J# _ _) = quotRemInteger (toBig i1) i2
+quotRemInteger (J# s1 d1) (J# s2 d2)
+ = case (quotRemInteger# s1 d1 s2 d2) of
+ (# s3, d3, s4, d4 #)
+ -> (J# s3 d3, J# s4 d4)
+
+divModInteger (S# i) (S# j)
+ = case divModInt (I# i) (I# j) of ( I# i, I# j ) -> ( S# i, S# j)
+divModInteger i1@(J# _ _) i2@(S# _) = divModInteger i1 (toBig i2)
+divModInteger i1@(S# _) i2@(J# _ _) = divModInteger (toBig i1) i2
+divModInteger (J# s1 d1) (J# s2 d2)
+ = case (divModInteger# s1 d1 s2 d2) of
+ (# s3, d3, s4, d4 #)
+ -> (J# s3 d3, J# s4 d4)
+
+remInteger :: Integer -> Integer -> Integer
+remInteger ia 0
+ = error "Prelude.Integral.rem{Integer}: divide by 0"
+remInteger (S# a) (S# b)
+ = S# (remInt# a b)
+remInteger ia@(S# a) (J# sb b)
+ | sb ==# 1# = S# (remInt# a (word2Int# (integer2Word# sb b)))
+ | sb ==# -1# = S# (remInt# a (0# -# (word2Int# (integer2Word# sb b))))
+ | 0# <# sb = ia
+ | otherwise = S# (0# -# a)
+remInteger (J# sa a) (S# b)
+ = case int2Integer# b of { (# sb, b #) ->
+ case remInteger# sa a sb b of { (# sr, r #) ->
+ S# (sr *# (word2Int# (integer2Word# sr r))) }}
+remInteger (J# sa a) (J# sb b)
+ = case remInteger# sa a sb b of (# sr, r #) -> J# sr r
+
+quotInteger :: Integer -> Integer -> Integer
+quotInteger ia 0
+ = error "Prelude.Integral.quot{Integer}: divide by 0"
+quotInteger (S# a) (S# b)
+ = S# (quotInt# a b)
+quotInteger (S# a) (J# sb b)
+ | sb ==# 1# = S# (quotInt# a (word2Int# (integer2Word# sb b)))
+ | sb ==# -1# = S# (quotInt# a (0# -# (word2Int# (integer2Word# sb b))))
+ | otherwise = zeroInteger
+quotInteger (J# sa a) (S# b)
+ = case int2Integer# b of { (# sb, b #) ->
+ case quotInteger# sa a sb b of (# sq, q #) -> J# sq q }
+quotInteger (J# sa a) (J# sb b)
+ = case quotInteger# sa a sb b of (# sg, g #) -> J# sg g
+\end{code}
+
+
+
+\begin{code}
+gcdInteger :: Integer -> Integer -> Integer
+gcdInteger (S# a) (S# b)
+ = case gcdInt# a b of g -> S# g
+gcdInteger ia@(S# a) ib@(J# sb b)
+ | a ==# 0# = abs ib
+ | sb ==# 0# = abs ia
+ | otherwise = case gcdIntegerInt# sb b a of g -> S# g
+gcdInteger ia@(J# sa a) ib@(S# b)
+ | sa ==# 0# = abs ib
+ | b ==# 0# = abs ia
+ | otherwise = case gcdIntegerInt# sa a b of g -> S# g
+gcdInteger (J# sa a) (J# sb b)
+ = case gcdInteger# sa a sb b of (# sg, g #) -> J# sg g
+
+lcmInteger :: Integer -> Integer -> Integer
+lcmInteger a 0
+ = zeroInteger
+lcmInteger 0 b
+ = zeroInteger
+lcmInteger a b
+ = (divExact aa (gcdInteger aa ab)) * ab
+ where aa = abs a
+ ab = abs b
+
+divExact :: Integer -> Integer -> Integer
+divExact (S# a) (S# b)
+ = S# (quotInt# a b)
+divExact (S# a) (J# sb b)
+ = S# (quotInt# a (sb *# (word2Int# (integer2Word# sb b))))
+divExact (J# sa a) (S# b)
+ = case int2Integer# b of
+ (# sb, b #) -> case divExactInteger# sa a sb b of (# sd, d #) -> J# sd d
+divExact (J# sa a) (J# sb b)
+ = case divExactInteger# sa a sb b of (# sd, d #) -> J# sd d
+\end{code}
+
+
+%*********************************************************
+%* *
+\subsection{The @Integer@ instances for @Eq@, @Ord@}
+%* *
+%*********************************************************
+
+\begin{code}
+instance Eq Integer where
+ (S# i) == (S# j) = i ==# j
+ (S# i) == (J# s d) = cmpIntegerInt# s d i ==# 0#
+ (J# s d) == (S# i) = cmpIntegerInt# s d i ==# 0#
+ (J# s1 d1) == (J# s2 d2) = (cmpInteger# s1 d1 s2 d2) ==# 0#
+
+ (S# i) /= (S# j) = i /=# j
+ (S# i) /= (J# s d) = cmpIntegerInt# s d i /=# 0#
+ (J# s d) /= (S# i) = cmpIntegerInt# s d i /=# 0#
+ (J# s1 d1) /= (J# s2 d2) = (cmpInteger# s1 d1 s2 d2) /=# 0#
+
+------------------------------------------------------------------------
+instance Ord Integer where
+ (S# i) <= (S# j) = i <=# j
+ (J# s d) <= (S# i) = cmpIntegerInt# s d i <=# 0#
+ (S# i) <= (J# s d) = cmpIntegerInt# s d i >=# 0#
+ (J# s1 d1) <= (J# s2 d2) = (cmpInteger# s1 d1 s2 d2) <=# 0#
+
+ (S# i) > (S# j) = i ># j
+ (J# s d) > (S# i) = cmpIntegerInt# s d i ># 0#
+ (S# i) > (J# s d) = cmpIntegerInt# s d i <# 0#
+ (J# s1 d1) > (J# s2 d2) = (cmpInteger# s1 d1 s2 d2) ># 0#
+
+ (S# i) < (S# j) = i <# j
+ (J# s d) < (S# i) = cmpIntegerInt# s d i <# 0#
+ (S# i) < (J# s d) = cmpIntegerInt# s d i ># 0#
+ (J# s1 d1) < (J# s2 d2) = (cmpInteger# s1 d1 s2 d2) <# 0#
+
+ (S# i) >= (S# j) = i >=# j
+ (J# s d) >= (S# i) = cmpIntegerInt# s d i >=# 0#
+ (S# i) >= (J# s d) = cmpIntegerInt# s d i <=# 0#
+ (J# s1 d1) >= (J# s2 d2) = (cmpInteger# s1 d1 s2 d2) >=# 0#
+
+ compare (S# i) (S# j)
+ | i ==# j = EQ
+ | i <=# j = LT
+ | otherwise = GT
+ compare (J# s d) (S# i)
+ = case cmpIntegerInt# s d i of { res# ->
+ if res# <# 0# then LT else
+ if res# ># 0# then GT else EQ
+ }
+ compare (S# i) (J# s d)
+ = case cmpIntegerInt# s d i of { res# ->
+ if res# ># 0# then LT else
+ if res# <# 0# then GT else EQ
+ }
+ compare (J# s1 d1) (J# s2 d2)
+ = case cmpInteger# s1 d1 s2 d2 of { res# ->
+ if res# <# 0# then LT else
+ if res# ># 0# then GT else EQ
+ }
+\end{code}
+
+
+%*********************************************************
+%* *
+\subsection{The @Integer@ instances for @Num@}
+%* *
+%*********************************************************
+\begin{code}
instance Num Integer where
(+) i1@(S# i) i2@(S# j)
= case addIntC# i j of { (# r, c #) ->
fromInteger x = x
fromInt (I# i) = S# i
+\end{code}
-instance Real Integer where
- toRational x = x % 1
-
-instance Integral Integer where
- -- ToDo: a `rem` b returns a small integer if b is small,
- -- a `quot` b returns a small integer if a is small.
- quotRem (S# i) (S# j)
- = case quotRem (I# i) (I# j) of ( I# i, I# j ) -> ( S# i, S# j)
- quotRem i1@(J# _ _) i2@(S# _) = quotRem i1 (toBig i2)
- quotRem i1@(S# _) i2@(J# _ _) = quotRem (toBig i1) i2
- quotRem (J# s1 d1) (J# s2 d2)
- = case (quotRemInteger# s1 d1 s2 d2) of
- (# s3, d3, s4, d4 #)
- -> (J# s3 d3, J# s4 d4)
-
- toInteger n = n
- toInt (S# i) = I# i
- toInt (J# s d) = case (integer2Int# s d) of { n# -> I# n# }
-
- -- we've got specialised quot/rem methods for Integer (see below)
- n `quot` d = n `quotInteger` d
- n `rem` d = n `remInteger` d
-
- n `div` d = q where (q,_) = divMod n d
- n `mod` d = r where (_,r) = divMod n d
-
- divMod (S# i) (S# j)
- = case divMod (I# i) (I# j) of ( I# i, I# j ) -> ( S# i, S# j)
- divMod i1@(J# _ _) i2@(S# _) = divMod i1 (toBig i2)
- divMod i1@(S# _) i2@(J# _ _) = divMod (toBig i1) i2
- divMod (J# s1 d1) (J# s2 d2)
- = case (divModInteger# s1 d1 s2 d2) of
- (# s3, d3, s4, d4 #)
- -> (J# s3 d3, J# s4 d4)
-
-remInteger :: Integer -> Integer -> Integer
-remInteger ia 0
- = error "Prelude.Integral.rem{Integer}: divide by 0"
-remInteger (S# a) (S# b) = S# (remInt# a b)
-remInteger ia@(S# a) (J# sb b)
- = if sb ==# 1#
- then
- S# (remInt# a (word2Int# (integer2Word# sb b)))
- else if sb ==# -1# then
- S# (remInt# a (0# -# (word2Int# (integer2Word# sb b))))
- else if 0# <# sb then
- ia
- else
- S# (0# -# a)
-remInteger (J# sa a) (S# b)
- = case int2Integer# b of { (# sb, b #) ->
- case remInteger# sa a sb b of { (# sr, r #) ->
- S# (sr *# (word2Int# (integer2Word# sr r))) }}
-remInteger (J# sa a) (J# sb b)
- = case remInteger# sa a sb b of (# sr, r #) -> J# sr r
-
-quotInteger :: Integer -> Integer -> Integer
-quotInteger ia 0
- = error "Prelude.Integral.quot{Integer}: divide by 0"
-quotInteger (S# a) (S# b) = S# (quotInt# a b)
-quotInteger (S# a) (J# sb b)
- = if sb ==# 1#
- then
- S# (quotInt# a (word2Int# (integer2Word# sb b)))
- else if sb ==# -1# then
- S# (quotInt# a (0# -# (word2Int# (integer2Word# sb b))))
- else
- zeroInteger
-quotInteger (J# sa a) (S# b)
- = case int2Integer# b of { (# sb, b #) ->
- case quotInteger# sa a sb b of (# sq, q #) -> J# sq q }
-quotInteger (J# sa a) (J# sb b)
- = case quotInteger# sa a sb b of (# sg, g #) -> J# sg g
-zeroInteger :: Integer
-zeroInteger = S# 0#
+%*********************************************************
+%* *
+\subsection{The @Integer@ instance for @Enum@}
+%* *
+%*********************************************************
-------------------------------------------------------------------------
+\begin{code}
instance Enum Integer where
succ x = x + 1
pred x = x - 1
- toEnum n = toInteger n
- fromEnum n = toInt n
+ toEnum n = int2Integer n
+ fromEnum n = integer2Int n
{-# INLINE enumFrom #-}
{-# INLINE enumFromThen #-}
#-}
\end{code}
+
%*********************************************************
%* *
-\subsection{Show code for Integers}
+\subsection{The @Integer@ instances for @Show@}
%* *
%*********************************************************
jtos' :: Integer -> String -> String
jtos' n cs
| n < 10 = chr (fromInteger n + (ord_0::Int)) : cs
- | otherwise = jtos' q (chr (toInt r + (ord_0::Int)) : cs)
+ | otherwise = jtos' q (chr (integer2Int r + (ord_0::Int)) : cs)
where
- (q,r) = n `quotRem` 10
-
-ord_0 :: Num a => a
-ord_0 = fromInt (ord '0')
-\end{code}
-
-%*********************************************************
-%* *
-\subsection{The @Ratio@ and @Rational@ types}
-%* *
-%*********************************************************
-
-\begin{code}
-data (Integral a) => Ratio a = !a :% !a deriving (Eq)
-type Rational = Ratio Integer
-
-{-# SPECIALISE (%) :: Integer -> Integer -> Rational #-}
-(%) :: (Integral a) => a -> a -> Ratio a
-numerator, denominator :: (Integral a) => Ratio a -> a
-\end{code}
-
-\tr{reduce} is a subsidiary function used only in this module .
-It normalises a ratio by dividing both numerator and denominator by
-their greatest common divisor.
-
-\begin{code}
-reduce :: (Integral a) => a -> a -> Ratio a
-reduce _ 0 = error "Ratio.%: zero denominator"
-reduce x y = (x `quot` d) :% (y `quot` d)
- where d = gcd x y
-\end{code}
-
-\begin{code}
-x % y = reduce (x * signum y) (abs y)
-
-numerator (x :% _) = x
-denominator (_ :% y) = y
-
-\end{code}
-
-%*********************************************************
-%* *
-\subsection{Overloaded numeric functions}
-%* *
-%*********************************************************
-
-\begin{code}
-
-{-# SPECIALISE subtract :: Int -> Int -> Int #-}
-subtract :: (Num a) => a -> a -> a
-subtract x y = y - x
-
-even, odd :: (Integral a) => a -> Bool
-even n = n `rem` 2 == 0
-odd = not . even
-
-gcd :: (Integral a) => a -> a -> a
-gcd 0 0 = error "Prelude.gcd: gcd 0 0 is undefined"
-gcd x y = gcd' (abs x) (abs y)
- where gcd' a 0 = a
- gcd' a b = gcd' b (a `rem` b)
-
-{-# SPECIALISE lcm ::
- Int -> Int -> Int,
- Integer -> Integer -> Integer #-}
-lcm :: (Integral a) => a -> a -> a
-lcm _ 0 = 0
-lcm 0 _ = 0
-lcm x y = abs ((x `quot` (gcd x y)) * y)
-
-{-# SPECIALISE (^) ::
- Integer -> Integer -> Integer,
- Integer -> Int -> Integer,
- Int -> Int -> Int #-}
-(^) :: (Num a, Integral b) => a -> b -> a
-_ ^ 0 = 1
-x ^ n | n > 0 = f x (n-1) x
- where f _ 0 y = y
- f a d y = g a d where
- g b i | even i = g (b*b) (i `quot` 2)
- | otherwise = f b (i-1) (b*y)
-_ ^ _ = error "Prelude.^: negative exponent"
-
-{- SPECIALISE (^^) ::
- Double -> Int -> Double,
- Rational -> Int -> Rational #-}
-(^^) :: (Fractional a, Integral b) => a -> b -> a
-x ^^ n = if n >= 0 then x^n else recip (x^(negate n))
-\end{code}
-
-%*********************************************************
-%* *
-\subsection{Specialized versions of gcd/lcm for Int/Integer}
-%* *
-%*********************************************************
-
-\begin{code}
-{-# RULES
-"Int.gcd" forall a b . gcd a b = gcdInt a b
-"Integer.gcd" forall a b . gcd a b = gcdInteger a b
-"Integer.lcm" forall a b . lcm a b = lcmInteger a b
- #-}
-
-gcdInt :: Int -> Int -> Int
-gcdInt (I# a) (I# b)
- = I# (gcdInt# a b)
-
-gcdInteger :: Integer -> Integer -> Integer
-gcdInteger (S# a) (S# b)
- = case gcdInt# a b of g -> S# g
-gcdInteger ia@(S# a) ib@(J# sb b)
- | a ==# 0# = abs ib
- | sb ==# 0# = abs ia
- | otherwise = case gcdIntegerInt# sb b a of g -> S# g
-gcdInteger ia@(J# sa a) ib@(S# b)
- | sa ==# 0# = abs ib
- | b ==# 0# = abs ia
- | otherwise = case gcdIntegerInt# sa a b of g -> S# g
-gcdInteger (J# sa a) (J# sb b)
- = case gcdInteger# sa a sb b of (# sg, g #) -> J# sg g
-
-lcmInteger :: Integer -> Integer -> Integer
-lcmInteger a 0
- = zeroInteger
-lcmInteger 0 b
- = zeroInteger
-lcmInteger a b
- = (divExact aa (gcdInteger aa ab)) * ab
- where aa = abs a
- ab = abs b
-
-divExact :: Integer -> Integer -> Integer
-divExact (S# a) (S# b)
- = S# (quotInt# a b)
-divExact (S# a) (J# sb b)
- = S# (quotInt# a (sb *# (word2Int# (integer2Word# sb b))))
-divExact (J# sa a) (S# b)
- = case int2Integer# b of
- (# sb, b #) -> case divExactInteger# sa a sb b of (# sd, d #) -> J# sd d
-divExact (J# sa a) (J# sb b)
- = case divExactInteger# sa a sb b of (# sd, d #) -> J# sd d
+ (q,r) = n `quotRemInteger` 10
\end{code}
projects / ghc-hetmet.git / blobdiff