Ord(..),
Enum(..),
Bounded(..),
- Num((+), (-), (*), negate, abs, signum, fromInteger, fromInt{-glaExt-}),
+ Num((+), (-), (*), negate, abs, signum, fromInteger),
+ -- The fromInt method is exposed only by GlaExts
Real(..),
- Integral(quot, rem, div, mod, quotRem, divMod, toInteger, toInt{-partain-}),
+ Integral(quot, rem, div, mod, quotRem, divMod, toInteger),
+ -- The toInt method is exposed only by GlaExts
Fractional(..),
Floating(..),
RealFrac(..),
RealFloat(..),
- -- From Monad
+ -- Monad stuff, from PrelBase, and defined here
Monad(..),
Functor(..),
mapM, mapM_, sequence, sequence_, (=<<),
) where
import PrelBase
-import PrelList hiding ( takeUInt_append )
+import PrelList
+#ifndef USE_REPORT_PRELUDE
+ hiding ( takeUInt_append )
+#endif
+import PrelIO
+import PrelIOBase
+import PrelException
import PrelRead
import PrelEnum
import PrelNum
-import PrelNumExtra
+import PrelReal
+import PrelFloat
import PrelTup
import PrelMaybe
import PrelShow
import PrelConc
-import Monad
-import Maybe
import PrelErr ( error )
-import IO
+infixr 1 =<<
infixr 0 $!
+\end{code}
+
+
+%*********************************************************
+%* *
+\subsection{Miscellaneous functions}
+%* *
+%*********************************************************
+\begin{code}
($!) :: (a -> b) -> a -> b
f $! x = x `seq` f x
\end{code}
+%*********************************************************
+%* *
+\subsection{List sum and product}
+%* *
+%*********************************************************
+
List sum and product are defined here because PrelList is too far
down the compilation chain to "see" the Num class.
\begin{code}
-- sum and product compute the sum or product of a finite list of numbers.
{-# SPECIALISE sum :: [Int] -> Int #-}
+{-# SPECIALISE sum :: [Integer] -> Integer #-}
{-# SPECIALISE product :: [Int] -> Int #-}
+{-# SPECIALISE product :: [Integer] -> Integer #-}
sum, product :: (Num a) => [a] -> a
#ifdef USE_REPORT_PRELUDE
sum = foldl (+) 0
prod (x:xs) a = prod xs (a*x)
#endif
\end{code}
+
+
+%*********************************************************
+%* *
+\subsection{Prelude monad functions}
+%* *
+%*********************************************************
+
+\begin{code}
+{-# SPECIALISE (=<<) :: (a -> [b]) -> [a] -> [b] #-}
+(=<<) :: Monad m => (a -> m b) -> m a -> m b
+f =<< x = x >>= f
+
+sequence :: Monad m => [m a] -> m [a]
+{-# INLINE sequence #-}
+sequence ms = foldr k (return []) ms
+ where
+ k m m' = do { x <- m; xs <- m'; return (x:xs) }
+
+sequence_ :: Monad m => [m a] -> m ()
+{-# INLINE sequence_ #-}
+sequence_ ms = foldr (>>) (return ()) ms
+
+mapM :: Monad m => (a -> m b) -> [a] -> m [b]
+{-# INLINE mapM #-}
+mapM f as = sequence (map f as)
+
+mapM_ :: Monad m => (a -> m b) -> [a] -> m ()
+{-# INLINE mapM_ #-}
+mapM_ f as = sequence_ (map f as)
+\end{code}
+
+
+%*********************************************************
+%* *
+\subsection{Coercions}
+%* *
+%*********************************************************
+
+\begin{code}
+{-# RULES
+"fromIntegral/Int->Int" fromIntegral = id :: Int -> Int
+"fromIntegral/Integer->Integer" fromIntegral = id :: Integer -> Integer
+"fromIntegral/Int->Integer" fromIntegral = int2Integer
+"fromIntegral/Integer->Int" fromIntegral = integer2Int
+"fromIntegral/Int->Rational" forall n . fromIntegral n = int2Integer n :% 1
+"fromIntegral/Integer->Rational" forall n . fromIntegral n = n :% (1 :: Integer)
+"fromIntegral/Int->Float" fromIntegral = int2Float
+"fromIntegral/Int->Double" fromIntegral = int2Double
+"fromIntegral/Integer->Float" forall n . fromIntegral n = encodeFloat n 0 :: Float
+"fromIntegral/Integer->Double" forall n . fromIntegral n = encodeFloat n 0 :: Double
+ #-}
+fromIntegral :: (Integral a, Num b) => a -> b
+fromIntegral = fromInteger . toInteger
+
+{-# RULES
+"realToFrac/Float->Double" realToFrac = floatToDouble
+"realToFrac/Double->Float" realToFrac = doubleToFloat
+"realToFrac/Float->Float" realToFrac = id :: Float -> Float
+"realToFrac/Double->Double" realToFrac = id :: Double -> Double
+"realToFrac/Rational->Rational" realToFrac = id :: Rational -> Rational
+"realToFrac/Float->Rational" realToFrac = rf2rat :: Float -> Rational
+"realToFrac/Double->Rational" realToFrac = rf2rat :: Double -> Rational
+"realToFrac/Rational->Float" realToFrac = fromRat :: Rational -> Float
+"realToFrac/Rational->Double" realToFrac = fromRat :: Rational -> Double
+ #-}
+realToFrac :: (Real a, Fractional b) => a -> b
+realToFrac = fromRational . toRational
+
+doubleToFloat :: Double -> Float
+doubleToFloat (D# d) = F# (double2Float# d)
+
+floatToDouble :: Float -> Double
+floatToDouble (F# f) = D# (float2Double# f)
+
+{-# SPECIALIZE rf2rat ::
+ Float -> Rational,
+ Double -> Rational
+ #-}
+rf2rat :: RealFloat a => a -> Rational
+rf2rat x = if n >= 0 then (m * (b ^ n)) :% 1 else m :% (b ^ (-n))
+ where (m,n) = decodeFloat x
+ b = floatRadix x
+\end{code}