The overall structure of the GHC Prelude is a bit tricky.
a) We want to avoid "orphan modules", i.e. ones with instance
- decls that don't belong either to a tycon or a class
- defined in the same module
+ decls that don't belong either to a tycon or a class
+ defined in the same module
b) We want to avoid giant modules
So the rough structure is as follows, in (linearised) dependency order
-GHC.Prim Has no implementation. It defines built-in things, and
- by importing it you bring them into scope.
- The source file is GHC.Prim.hi-boot, which is just
- copied to make GHC.Prim.hi
+GHC.Prim Has no implementation. It defines built-in things, and
+ by importing it you bring them into scope.
+ The source file is GHC.Prim.hi-boot, which is just
+ copied to make GHC.Prim.hi
-GHC.Base Classes: Eq, Ord, Functor, Monad
- Types: list, (), Int, Bool, Ordering, Char, String
+GHC.Base Classes: Eq, Ord, Functor, Monad
+ Types: list, (), Int, Bool, Ordering, Char, String
-Data.Tup Types: tuples, plus instances for GHC.Base classes
+Data.Tuple Types: tuples, plus instances for GHC.Base classes
-GHC.Show Class: Show, plus instances for GHC.Base/GHC.Tup types
+GHC.Show Class: Show, plus instances for GHC.Base/GHC.Tup types
-GHC.Enum Class: Enum, plus instances for GHC.Base/GHC.Tup types
+GHC.Enum Class: Enum, plus instances for GHC.Base/GHC.Tup types
-Data.Maybe Type: Maybe, plus instances for GHC.Base classes
+Data.Maybe Type: Maybe, plus instances for GHC.Base classes
-GHC.Num Class: Num, plus instances for Int
- Type: Integer, plus instances for all classes so far (Eq, Ord, Num, Show)
+GHC.List List functions
- Integer is needed here because it is mentioned in the signature
- of 'fromInteger' in class Num
+GHC.Num Class: Num, plus instances for Int
+ Type: Integer, plus instances for all classes so far (Eq, Ord, Num, Show)
-GHC.Real Classes: Real, Integral, Fractional, RealFrac
- plus instances for Int, Integer
- Types: Ratio, Rational
- plus intances for classes so far
+ Integer is needed here because it is mentioned in the signature
+ of 'fromInteger' in class Num
- Rational is needed here because it is mentioned in the signature
- of 'toRational' in class Real
+GHC.Real Classes: Real, Integral, Fractional, RealFrac
+ plus instances for Int, Integer
+ Types: Ratio, Rational
+ plus intances for classes so far
-Ix Classes: Ix, plus instances for Int, Bool, Char, Integer, Ordering, tuples
+ Rational is needed here because it is mentioned in the signature
+ of 'toRational' in class Real
-GHC.Arr Types: Array, MutableArray, MutableVar
+GHC.ST The ST monad, instances and a few helper functions
- Does *not* contain any ByteArray stuff (see GHC.ByteArr)
- Arrays are used by a function in GHC.Float
+Ix Classes: Ix, plus instances for Int, Bool, Char, Integer, Ordering, tuples
-GHC.Float Classes: Floating, RealFloat
- Types: Float, Double, plus instances of all classes so far
+GHC.Arr Types: Array, MutableArray, MutableVar
- This module contains everything to do with floating point.
- It is a big module (900 lines)
- With a bit of luck, many modules can be compiled without ever reading GHC.Float.hi
+ Arrays are used by a function in GHC.Float
-GHC.ByteArr Types: ByteArray, MutableByteArray
-
- We want this one to be after GHC.Float, because it defines arrays
- of unboxed floats.
+GHC.Float Classes: Floating, RealFloat
+ Types: Float, Double, plus instances of all classes so far
+
+ This module contains everything to do with floating point.
+ It is a big module (900 lines)
+ With a bit of luck, many modules can be compiled without ever reading GHC.Float.hi
Other Prelude modules are much easier with fewer complex dependencies.
\begin{code}
-{-# OPTIONS_GHC -fno-implicit-prelude #-}
+{-# OPTIONS_GHC -XNoImplicitPrelude #-}
+-- -fno-warn-orphans is needed for things like:
+-- Orphan rule: "x# -# x#" ALWAYS forall x# :: Int# -# x# x# = 0
+{-# OPTIONS_GHC -fno-warn-orphans #-}
+{-# OPTIONS_HADDOCK hide #-}
-----------------------------------------------------------------------------
-- |
-- Module : GHC.Base
-- #hide
module GHC.Base
- (
- module GHC.Base,
- module GHC.Prim, -- Re-export GHC.Prim and GHC.Err, to avoid lots
- module GHC.Err -- of people having to import it explicitly
+ (
+ module GHC.Base,
+ module GHC.Bool,
+ module GHC.Classes,
+ module GHC.Generics,
+ module GHC.Ordering,
+ module GHC.Types,
+ module GHC.Prim, -- Re-export GHC.Prim and GHC.Err, to avoid lots
+ module GHC.Err -- of people having to import it explicitly
)
- where
+ where
+import GHC.Types
+import GHC.Bool
+import GHC.Classes
+import GHC.Generics
+import GHC.Ordering
import GHC.Prim
+import {-# SOURCE #-} GHC.Show
import {-# SOURCE #-} GHC.Err
+import {-# SOURCE #-} GHC.IO (failIO)
+
+-- These two are not strictly speaking required by this module, but they are
+-- implicit dependencies whenever () or tuples are mentioned, so adding them
+-- as imports here helps to get the dependencies right in the new build system.
+import GHC.Tuple ()
+import GHC.Unit ()
infixr 9 .
-infixr 5 ++, :
-infix 4 ==, /=, <, <=, >=, >
-infixr 3 &&
-infixr 2 ||
+infixr 5 ++
+infixl 4 <$
infixl 1 >>, >>=
infixr 0 $
-default () -- Double isn't available yet
+default () -- Double isn't available yet
\end{code}
%*********************************************************
-%* *
+%* *
\subsection{DEBUGGING STUFF}
%* (for use when compiling GHC.Base itself doesn't work)
-%* *
+%* *
%*********************************************************
\begin{code}
%*********************************************************
-%* *
-\subsection{Standard classes @Eq@, @Ord@}
-%* *
-%*********************************************************
-
-\begin{code}
-
--- | The 'Eq' class defines equality ('==') and inequality ('/=').
--- All the basic datatypes exported by the "Prelude" are instances of 'Eq',
--- and 'Eq' may be derived for any datatype whose constituents are also
--- instances of 'Eq'.
---
--- Minimal complete definition: either '==' or '/='.
---
-class Eq a where
- (==), (/=) :: a -> a -> Bool
-
- x /= y = not (x == y)
- x == y = not (x /= y)
-
--- | The 'Ord' class is used for totally ordered datatypes.
---
--- Instances of 'Ord' can be derived for any user-defined
--- datatype whose constituent types are in 'Ord'. The declared order
--- of the constructors in the data declaration determines the ordering
--- in derived 'Ord' instances. The 'Ordering' datatype allows a single
--- comparison to determine the precise ordering of two objects.
---
--- Minimal complete definition: either 'compare' or '<='.
--- Using 'compare' can be more efficient for complex types.
---
-class (Eq a) => Ord a where
- compare :: a -> a -> Ordering
- (<), (<=), (>), (>=) :: a -> a -> Bool
- max, min :: a -> a -> a
-
- compare x y
- | x == y = EQ
- | x <= y = LT -- NB: must be '<=' not '<' to validate the
- -- above claim about the minimal things that
- -- can be defined for an instance of Ord
- | otherwise = GT
-
- x < y = case compare x y of { LT -> True; _other -> False }
- x <= y = case compare x y of { GT -> False; _other -> True }
- x > y = case compare x y of { GT -> True; _other -> False }
- x >= y = case compare x y of { LT -> False; _other -> True }
-
- -- These two default methods use '<=' rather than 'compare'
- -- because the latter is often more expensive
- max x y = if x <= y then y else x
- min x y = if x <= y then x else y
-\end{code}
-
-%*********************************************************
-%* *
+%* *
\subsection{Monadic classes @Functor@, @Monad@ }
-%* *
+%* *
%*********************************************************
\begin{code}
> fmap id == id
> fmap (f . g) == fmap f . fmap g
-The instances of 'Functor' for lists, 'Maybe' and 'IO' defined in the "Prelude"
-satisfy these laws.
+The instances of 'Functor' for lists, 'Data.Maybe.Maybe' and 'System.IO.IO'
+defined in the "Prelude" satisfy these laws.
-}
class Functor f where
fmap :: (a -> b) -> f a -> f b
-{- | The 'Monad' class defines the basic operations over a /monad/.
+ -- | Replace all locations in the input with the same value.
+ -- The default definition is @'fmap' . 'const'@, but this may be
+ -- overridden with a more efficient version.
+ (<$) :: a -> f b -> f a
+ (<$) = fmap . const
+
+{- | The 'Monad' class defines the basic operations over a /monad/,
+a concept from a branch of mathematics known as /category theory/.
+From the perspective of a Haskell programmer, however, it is best to
+think of a monad as an /abstract datatype/ of actions.
+Haskell's @do@ expressions provide a convenient syntax for writing
+monadic expressions.
+
+Minimal complete definition: '>>=' and 'return'.
+
Instances of 'Monad' should satisfy the following laws:
> return a >>= k == k a
> fmap f xs == xs >>= return . f
-The instances of 'Monad' for lists, 'Maybe' and 'IO' defined in the "Prelude"
-satisfy these laws.
+The instances of 'Monad' for lists, 'Data.Maybe.Maybe' and 'System.IO.IO'
+defined in the "Prelude" satisfy these laws.
-}
class Monad m where
+ -- | Sequentially compose two actions, passing any value produced
+ -- by the first as an argument to the second.
(>>=) :: forall a b. m a -> (a -> m b) -> m b
+ -- | Sequentially compose two actions, discarding any value produced
+ -- by the first, like sequencing operators (such as the semicolon)
+ -- in imperative languages.
(>>) :: forall a b. m a -> m b -> m b
- -- Explicit for-alls so that we know what order to
- -- give type arguments when desugaring
+ -- Explicit for-alls so that we know what order to
+ -- give type arguments when desugaring
+
+ -- | Inject a value into the monadic type.
return :: a -> m a
- fail :: String -> m a
+ -- | Fail with a message. This operation is not part of the
+ -- mathematical definition of a monad, but is invoked on pattern-match
+ -- failure in a @do@ expression.
+ fail :: String -> m a
+ {-# INLINE (>>) #-}
m >> k = m >>= \_ -> k
fail s = error s
\end{code}
%*********************************************************
-%* *
+%* *
\subsection{The list type}
-%* *
+%* *
%*********************************************************
\begin{code}
-data [] a = [] | a : [a] -- do explicitly: deriving (Eq, Ord)
- -- to avoid weird names like con2tag_[]#
-
-
-instance (Eq a) => Eq [a] where
- {-# SPECIALISE instance Eq [Char] #-}
- [] == [] = True
- (x:xs) == (y:ys) = x == y && xs == ys
- _xs == _ys = False
-
-instance (Ord a) => Ord [a] where
- {-# SPECIALISE instance Ord [Char] #-}
- compare [] [] = EQ
- compare [] (_:_) = LT
- compare (_:_) [] = GT
- compare (x:xs) (y:ys) = case compare x y of
- EQ -> compare xs ys
- other -> other
-
instance Functor [] where
fmap = map
m >>= k = foldr ((++) . k) [] m
m >> k = foldr ((++) . (\ _ -> k)) [] m
return x = [x]
- fail _ = []
+ fail _ = []
\end{code}
A few list functions that appear here because they are used here.
The rest of the prelude list functions are in GHC.List.
----------------------------------------------
--- foldr/build/augment
+-- foldr/build/augment
----------------------------------------------
\begin{code}
-- foldr f z (x:xs) = f x (foldr f z xs)
{-# INLINE [0] foldr #-}
-- Inline only in the final stage, after the foldr/cons rule has had a chance
-foldr k z xs = go xs
- where
- go [] = z
- go (y:ys) = y `k` go ys
+-- Also note that we inline it when it has *two* parameters, which are the
+-- ones we are keen about specialising!
+foldr k z = go
+ where
+ go [] = z
+ go (y:ys) = y `k` go ys
-- | A list producer that can be fused with 'foldr'.
-- This function is merely
--
--- > build g = g (:) []
+-- > build g = g (:) []
--
-- but GHC's simplifier will transform an expression of the form
-- @'foldr' k z ('build' g)@, which may arise after inlining, to @g k z@,
-- which avoids producing an intermediate list.
-build :: forall a. (forall b. (a -> b -> b) -> b -> b) -> [a]
+build :: forall a. (forall b. (a -> b -> b) -> b -> b) -> [a]
{-# INLINE [1] build #-}
- -- The INLINE is important, even though build is tiny,
- -- because it prevents [] getting inlined in the version that
- -- appears in the interface file. If [] *is* inlined, it
- -- won't match with [] appearing in rules in an importing module.
- --
- -- The "1" says to inline in phase 1
+ -- The INLINE is important, even though build is tiny,
+ -- because it prevents [] getting inlined in the version that
+ -- appears in the interface file. If [] *is* inlined, it
+ -- won't match with [] appearing in rules in an importing module.
+ --
+ -- The "1" says to inline in phase 1
build g = g (:) []
-- | A list producer that can be fused with 'foldr'.
-- This function is merely
--
--- > augment g xs = g (:) xs
+-- > augment g xs = g (:) xs
--
-- but GHC's simplifier will transform an expression of the form
-- @'foldr' k z ('augment' g xs)@, which may arise after inlining, to
augment g xs = g (:) xs
{-# RULES
-"fold/build" forall k z (g::forall b. (a->b->b) -> b -> b) .
- foldr k z (build g) = g k z
+"fold/build" forall k z (g::forall b. (a->b->b) -> b -> b) .
+ foldr k z (build g) = g k z
"foldr/augment" forall k z xs (g::forall b. (a->b->b) -> b -> b) .
- foldr k z (augment g xs) = g k (foldr k z xs)
+ foldr k z (augment g xs) = g k (foldr k z xs)
-"foldr/id" foldr (:) [] = \x->x
-"foldr/app" [1] forall xs ys. foldr (:) ys xs = xs ++ ys
- -- Only activate this from phase 1, because that's
- -- when we disable the rule that expands (++) into foldr
+"foldr/id" foldr (:) [] = \x -> x
+"foldr/app" [1] forall ys. foldr (:) ys = \xs -> xs ++ ys
+ -- Only activate this from phase 1, because that's
+ -- when we disable the rule that expands (++) into foldr
-- The foldr/cons rule looks nice, but it can give disastrously
-- bloated code when commpiling
--- array (a,b) [(1,2), (2,2), (3,2), ...very long list... ]
+-- array (a,b) [(1,2), (2,2), (3,2), ...very long list... ]
-- i.e. when there are very very long literal lists
-- So I've disabled it for now. We could have special cases
-- for short lists, I suppose.
--- "foldr/cons" forall k z x xs. foldr k z (x:xs) = k x (foldr k z xs)
+-- "foldr/cons" forall k z x xs. foldr k z (x:xs) = k x (foldr k z xs)
-"foldr/single" forall k z x. foldr k z [x] = k x z
-"foldr/nil" forall k z. foldr k z [] = z
+"foldr/single" forall k z x. foldr k z [x] = k x z
+"foldr/nil" forall k z. foldr k z [] = z
"augment/build" forall (g::forall b. (a->b->b) -> b -> b)
- (h::forall b. (a->b->b) -> b -> b) .
- augment g (build h) = build (\c n -> g c (h c n))
+ (h::forall b. (a->b->b) -> b -> b) .
+ augment g (build h) = build (\c n -> g c (h c n))
"augment/nil" forall (g::forall b. (a->b->b) -> b -> b) .
- augment g [] = build g
+ augment g [] = build g
#-}
-- This rule is true, but not (I think) useful:
--- augment g (augment h t) = augment (\cn -> g c (h c n)) t
+-- augment g (augment h t) = augment (\cn -> g c (h c n)) t
\end{code}
----------------------------------------------
--- map
+-- map
----------------------------------------------
\begin{code}
-- Note eta expanded
mapFB :: (elt -> lst -> lst) -> (a -> elt) -> a -> lst -> lst
{-# INLINE [0] mapFB #-}
-mapFB c f x ys = c (f x) ys
+mapFB c f = \x ys -> c (f x) ys
-- The rules for map work like this.
--
-- e.g. append, filter, iterate, repeat, etc.
{-# RULES
-"map" [~1] forall f xs. map f xs = build (\c n -> foldr (mapFB c f) n xs)
-"mapList" [1] forall f. foldr (mapFB (:) f) [] = map f
-"mapFB" forall c f g. mapFB (mapFB c f) g = mapFB c (f.g)
+"map" [~1] forall f xs. map f xs = build (\c n -> foldr (mapFB c f) n xs)
+"mapList" [1] forall f. foldr (mapFB (:) f) [] = map f
+"mapFB" forall c f g. mapFB (mapFB c f) g = mapFB c (f.g)
#-}
\end{code}
----------------------------------------------
--- append
+-- append
----------------------------------------------
\begin{code}
-- | Append two lists, i.e.,
(++) (x:xs) ys = x : xs ++ ys
{-# RULES
-"++" [~1] forall xs ys. xs ++ ys = augment (\c n -> foldr c n xs) ys
+"++" [~1] forall xs ys. xs ++ ys = augment (\c n -> foldr c n xs) ys
#-}
\end{code}
%*********************************************************
-%* *
+%* *
\subsection{Type @Bool@}
-%* *
+%* *
%*********************************************************
\begin{code}
--- |The 'Bool' type is an enumeration. It is defined with 'False'
--- first so that the corresponding 'Prelude.Enum' instance will give
--- 'Prelude.fromEnum' 'False' the value zero, and
--- 'Prelude.fromEnum' 'True' the value 1.
-data Bool = False | True deriving (Eq, Ord)
- -- Read in GHC.Read, Show in GHC.Show
-
--- Boolean functions
-
--- | Boolean \"and\"
-(&&) :: Bool -> Bool -> Bool
-True && x = x
-False && _ = False
-
--- | Boolean \"or\"
-(||) :: Bool -> Bool -> Bool
-True || _ = True
-False || x = x
-
--- | Boolean \"not\"
-not :: Bool -> Bool
-not True = False
-not False = True
-
-- |'otherwise' is defined as the value 'True'. It helps to make
-- guards more readable. eg.
--
-- > f x | x < 0 = ...
-- > | otherwise = ...
-otherwise :: Bool
-otherwise = True
-\end{code}
-
-
-%*********************************************************
-%* *
-\subsection{The @()@ type}
-%* *
-%*********************************************************
-
-The Unit type is here because virtually any program needs it (whereas
-some programs may get away without consulting GHC.Tup). Furthermore,
-the renamer currently *always* asks for () to be in scope, so that
-ccalls can use () as their default type; so when compiling GHC.Base we
-need (). (We could arrange suck in () only if -fglasgow-exts, but putting
-it here seems more direct.)
-
-\begin{code}
--- | The unit datatype @()@ has one non-undefined member, the nullary
--- constructor @()@.
-data () = ()
-
-instance Eq () where
- () == () = True
- () /= () = False
-
-instance Ord () where
- () <= () = True
- () < () = False
- () >= () = True
- () > () = False
- max () () = ()
- min () () = ()
- compare () () = EQ
-\end{code}
-
-
-%*********************************************************
-%* *
-\subsection{Type @Ordering@}
-%* *
-%*********************************************************
-
-\begin{code}
--- | Represents an ordering relationship between two values: less
--- than, equal to, or greater than. An 'Ordering' is returned by
--- 'compare'.
-data Ordering = LT | EQ | GT deriving (Eq, Ord)
- -- Read in GHC.Read, Show in GHC.Show
+otherwise :: Bool
+otherwise = True
\end{code}
-
%*********************************************************
-%* *
+%* *
\subsection{Type @Char@ and @String@}
-%* *
+%* *
%*********************************************************
\begin{code}
type String = [Char]
{-| The character type 'Char' is an enumeration whose values represent
-Unicode (or equivalently ISO 10646) characters.
+Unicode (or equivalently ISO\/IEC 10646) characters
+(see <http://www.unicode.org/> for details).
This set extends the ISO 8859-1 (Latin-1) character set
(the first 256 charachers), which is itself an extension of the ASCII
character set (the first 128 characters).
by Unicode, use 'Prelude.toEnum' and 'Prelude.fromEnum' from the
'Prelude.Enum' class respectively (or equivalently 'ord' and 'chr').
-}
-data Char = C# Char#
-
--- We don't use deriving for Eq and Ord, because for Ord the derived
--- instance defines only compare, which takes two primops. Then
--- '>' uses compare, and therefore takes two primops instead of one.
-
-instance Eq Char where
- (C# c1) == (C# c2) = c1 `eqChar#` c2
- (C# c1) /= (C# c2) = c1 `neChar#` c2
-
-instance Ord Char where
- (C# c1) > (C# c2) = c1 `gtChar#` c2
- (C# c1) >= (C# c2) = c1 `geChar#` c2
- (C# c1) <= (C# c2) = c1 `leChar#` c2
- (C# c1) < (C# c2) = c1 `ltChar#` c2
{-# RULES
"x# `eqChar#` x#" forall x#. x# `eqChar#` x# = True
-- | The 'Prelude.toEnum' method restricted to the type 'Data.Char.Char'.
chr :: Int -> Char
-chr (I# i#) | int2Word# i# `leWord#` int2Word# 0x10FFFF# = C# (chr# i#)
- | otherwise = error "Prelude.chr: bad argument"
+chr i@(I# i#)
+ | int2Word# i# `leWord#` int2Word# 0x10FFFF# = C# (chr# i#)
+ | otherwise
+ = error ("Prelude.chr: bad argument: " ++ showSignedInt (I# 9#) i "")
unsafeChr :: Int -> Char
unsafeChr (I# i#) = C# (chr# i#)
\begin{code}
eqString :: String -> String -> Bool
-eqString [] [] = True
+eqString [] [] = True
eqString (c1:cs1) (c2:cs2) = c1 == c2 && cs1 `eqString` cs2
-eqString cs1 cs2 = False
+eqString _ _ = False
{-# RULES "eqString" (==) = eqString #-}
+-- eqString also has a BuiltInRule in PrelRules.lhs:
+-- eqString (unpackCString# (Lit s1)) (unpackCString# (Lit s2) = s1==s2
\end{code}
%*********************************************************
-%* *
+%* *
\subsection{Type @Int@}
-%* *
+%* *
%*********************************************************
\begin{code}
-data Int = I# Int#
--- ^A fixed-precision integer type with at least the range @[-2^29 .. 2^29-1]@.
--- The exact range for a given implementation can be determined by using
--- 'Prelude.minBound' and 'Prelude.maxBound' from the 'Prelude.Bounded' class.
-
zeroInt, oneInt, twoInt, maxInt, minInt :: Int
zeroInt = I# 0#
oneInt = I# 1#
%*********************************************************
-%* *
+%* *
\subsection{The function type}
-%* *
+%* *
%*********************************************************
\begin{code}
-- | Identity function.
-id :: a -> a
-id x = x
+id :: a -> a
+id x = x
--- lazy function; this is just the same as id, but its unfolding
--- and strictness are over-ridden by the definition in MkId.lhs
--- That way, it does not get inlined, and the strictness analyser
--- sees it as lazy. Then the worker/wrapper phase inlines it.
--- Result: happiness
+-- | The call '(lazy e)' means the same as 'e', but 'lazy' has a
+-- magical strictness property: it is lazy in its first argument,
+-- even though its semantics is strict.
lazy :: a -> a
lazy x = x
+-- Implementation note: its strictness and unfolding are over-ridden
+-- by the definition in MkId.lhs; in both cases to nothing at all.
+-- That way, 'lazy' does not get inlined, and the strictness analyser
+-- sees it as lazy. Then the worker/wrapper phase inlines it.
+-- Result: happiness
--- | Assertion function. This simply ignores its boolean argument.
+-- Assertion function. This simply ignores its boolean argument.
-- The compiler may rewrite it to @('assertError' line)@.
--- SLPJ: in 5.04 etc 'assert' is in GHC.Prim,
--- but from Template Haskell onwards it's simply
--- defined here in Base.lhs
+-- | If the first argument evaluates to 'True', then the result is the
+-- second argument. Otherwise an 'AssertionFailed' exception is raised,
+-- containing a 'String' with the source file and line number of the
+-- call to 'assert'.
+--
+-- Assertions can normally be turned on or off with a compiler flag
+-- (for GHC, assertions are normally on unless optimisation is turned on
+-- with @-O@ or the @-fignore-asserts@
+-- option is given). When assertions are turned off, the first
+-- argument to 'assert' is ignored, and the second argument is
+-- returned as the result.
+
+-- SLPJ: in 5.04 etc 'assert' is in GHC.Prim,
+-- but from Template Haskell onwards it's simply
+-- defined here in Base.lhs
assert :: Bool -> a -> a
-assert pred r = r
-
+assert _pred r = r
+
+breakpoint :: a -> a
+breakpoint r = r
+
+breakpointCond :: Bool -> a -> a
+breakpointCond _ r = r
+
+data Opaque = forall a. O a
+
-- | Constant function.
-const :: a -> b -> a
-const x _ = x
+const :: a -> b -> a
+const x _ = x
-- | Function composition.
{-# INLINE (.) #-}
-(.) :: (b -> c) -> (a -> b) -> a -> c
-(.) f g x = f (g x)
+-- Make sure it has TWO args only on the left, so that it inlines
+-- when applied to two functions, even if there is no final argument
+(.) :: (b -> c) -> (a -> b) -> a -> c
+(.) f g = \x -> f (g x)
-- | @'flip' f@ takes its (first) two arguments in the reverse order of @f@.
-flip :: (a -> b -> c) -> b -> a -> c
-flip f x y = f y x
+flip :: (a -> b -> c) -> b -> a -> c
+flip f x y = f y x
-- | Application operator. This operator is redundant, since ordinary
-- application @(f x)@ means the same as @(f '$' x)@. However, '$' has
-- It is also useful in higher-order situations, such as @'map' ('$' 0) xs@,
-- or @'Data.List.zipWith' ('$') fs xs@.
{-# INLINE ($) #-}
-($) :: (a -> b) -> a -> b
-f $ x = f x
+($) :: (a -> b) -> a -> b
+f $ x = f x
-- | @'until' p f@ yields the result of applying @f@ until @p@ holds.
-until :: (a -> Bool) -> (a -> a) -> a -> a
-until p f x | p x = x
- | otherwise = until p f (f x)
+until :: (a -> Bool) -> (a -> a) -> a -> a
+until p f x | p x = x
+ | otherwise = until p f (f x)
-- | 'asTypeOf' is a type-restricted version of 'const'. It is usually
-- used as an infix operator, and its typing forces its first argument
-- (which is usually overloaded) to have the same type as the second.
-asTypeOf :: a -> a -> a
-asTypeOf = const
+asTypeOf :: a -> a -> a
+asTypeOf = const
\end{code}
%*********************************************************
-%* *
-\subsection{Generics}
-%* *
+%* *
+\subsection{@Functor@ and @Monad@ instances for @IO@}
+%* *
%*********************************************************
\begin{code}
-data Unit = Unit
-#ifndef __HADDOCK__
-data (:+:) a b = Inl a | Inr b
-data (:*:) a b = a :*: b
-#endif
+instance Functor IO where
+ fmap f x = x >>= (return . f)
+
+instance Monad IO where
+ {-# INLINE return #-}
+ {-# INLINE (>>) #-}
+ {-# INLINE (>>=) #-}
+ m >> k = m >>= \ _ -> k
+ return = returnIO
+ (>>=) = bindIO
+ fail s = GHC.IO.failIO s
+
+returnIO :: a -> IO a
+returnIO x = IO $ \ s -> (# s, x #)
+
+bindIO :: IO a -> (a -> IO b) -> IO b
+bindIO (IO m) k = IO $ \ s -> case m s of (# new_s, a #) -> unIO (k a) new_s
+
+thenIO :: IO a -> IO b -> IO b
+thenIO (IO m) k = IO $ \ s -> case m s of (# new_s, _ #) -> unIO k new_s
+
+unIO :: IO a -> (State# RealWorld -> (# State# RealWorld, a #))
+unIO (IO a) = a
\end{code}
%*********************************************************
-%* *
+%* *
\subsection{@getTag@}
-%* *
+%* *
%*********************************************************
Returns the 'tag' of a constructor application; this function is used
\end{code}
%*********************************************************
-%* *
+%* *
\subsection{Numeric primops}
-%* *
+%* *
%*********************************************************
\begin{code}
divInt# :: Int# -> Int# -> Int#
x# `divInt#` y#
- -- Be careful NOT to overflow if we do any additional arithmetic
- -- on the arguments... the following previous version of this
- -- code has problems with overflow:
+ -- Be careful NOT to overflow if we do any additional arithmetic
+ -- on the arguments... the following previous version of this
+ -- code has problems with overflow:
-- | (x# ># 0#) && (y# <# 0#) = ((x# -# y#) -# 1#) `quotInt#` y#
-- | (x# <# 0#) && (y# ># 0#) = ((x# -# y#) +# 1#) `quotInt#` y#
| (x# ># 0#) && (y# <# 0#) = ((x# -# 1#) `quotInt#` y#) -# 1#
(x# <# 0#) && (y# ># 0#) = if r# /=# 0# then r# +# y# else 0#
| otherwise = r#
where
- r# = x# `remInt#` y#
+ !r# = x# `remInt#` y#
\end{code}
Definitions of the boxed PrimOps; these will be
{-# INLINE remInt #-}
{-# INLINE negateInt #-}
-plusInt, minusInt, timesInt, quotInt, remInt, divInt, modInt, gcdInt :: Int -> Int -> Int
+plusInt, minusInt, timesInt, quotInt, remInt, divInt, modInt :: Int -> Int -> Int
(I# x) `plusInt` (I# y) = I# (x +# y)
(I# x) `minusInt` (I# y) = I# (x -# y)
(I# x) `timesInt` (I# y) = I# (x *# y)
"1# *# x#" forall x#. 1# *# x# = x#
#-}
-gcdInt (I# a) (I# b) = g a b
- where g 0# 0# = error "GHC.Base.gcdInt: gcd 0 0 is undefined"
- g 0# _ = I# absB
- g _ 0# = I# absA
- g _ _ = I# (gcdInt# absA absB)
-
- absInt x = if x <# 0# then negateInt# x else x
-
- absA = absInt a
- absB = absInt b
-
negateInt :: Int -> Int
negateInt (I# x) = I# (negateInt# x)
"plusDouble x 0.0" forall x#. (+##) x# 0.0## = x#
"plusDouble 0.0 x" forall x#. (+##) 0.0## x# = x#
"minusDouble x 0.0" forall x#. (-##) x# 0.0## = x#
-"minusDouble x x" forall x#. (-##) x# x# = 0.0##
-"timesDouble x 0.0" forall x#. (*##) x# 0.0## = 0.0##
-"timesDouble 0.0 x" forall x#. (*##) 0.0## x# = 0.0##
"timesDouble x 1.0" forall x#. (*##) x# 1.0## = x#
"timesDouble 1.0 x" forall x#. (*##) 1.0## x# = x#
"divideDouble x 1.0" forall x#. (/##) x# 1.0## = x#
#-}
+{-
+We'd like to have more rules, but for example:
+
+This gives wrong answer (0) for NaN - NaN (should be NaN):
+ "minusDouble x x" forall x#. (-##) x# x# = 0.0##
+
+This gives wrong answer (0) for 0 * NaN (should be NaN):
+ "timesDouble 0.0 x" forall x#. (*##) 0.0## x# = 0.0##
+
+This gives wrong answer (0) for NaN * 0 (should be NaN):
+ "timesDouble x 0.0" forall x#. (*##) x# 0.0## = 0.0##
+
+These are tested by num014.
+-}
+
-- Wrappers for the shift operations. The uncheckedShift# family are
-- undefined when the amount being shifted by is greater than the size
-- in bits of Int#, so these wrappers perform a check and return
-- (which must be non-negative).
shiftL# :: Word# -> Int# -> Word#
a `shiftL#` b | b >=# WORD_SIZE_IN_BITS# = int2Word# 0#
- | otherwise = a `uncheckedShiftL#` b
+ | otherwise = a `uncheckedShiftL#` b
-- | Shift the argument right by the specified number of bits
-- (which must be non-negative).
shiftRL# :: Word# -> Int# -> Word#
a `shiftRL#` b | b >=# WORD_SIZE_IN_BITS# = int2Word# 0#
- | otherwise = a `uncheckedShiftRL#` b
+ | otherwise = a `uncheckedShiftRL#` b
-- | Shift the argument left by the specified number of bits
-- (which must be non-negative).
iShiftL# :: Int# -> Int# -> Int#
a `iShiftL#` b | b >=# WORD_SIZE_IN_BITS# = 0#
- | otherwise = a `uncheckedIShiftL#` b
+ | otherwise = a `uncheckedIShiftL#` b
-- | Shift the argument right (signed) by the specified number of bits
-- (which must be non-negative).
iShiftRA# :: Int# -> Int# -> Int#
a `iShiftRA#` b | b >=# WORD_SIZE_IN_BITS# = if a <# 0# then (-1#) else 0#
- | otherwise = a `uncheckedIShiftRA#` b
+ | otherwise = a `uncheckedIShiftRA#` b
-- | Shift the argument right (unsigned) by the specified number of bits
-- (which must be non-negative).
iShiftRL# :: Int# -> Int# -> Int#
a `iShiftRL#` b | b >=# WORD_SIZE_IN_BITS# = 0#
- | otherwise = a `uncheckedIShiftRL#` b
+ | otherwise = a `uncheckedIShiftRL#` b
#if WORD_SIZE_IN_BITS == 32
{-# RULES
%********************************************************
-%* *
+%* *
\subsection{Unpacking C strings}
-%* *
+%* *
%********************************************************
This code is needed for virtually all programs, since it's used for
\begin{code}
unpackCString# :: Addr# -> [Char]
-{-# NOINLINE [1] unpackCString# #-}
+{-# NOINLINE unpackCString# #-}
+ -- There's really no point in inlining this, ever, cos
+ -- the loop doesn't specialise in an interesting
+ -- But it's pretty small, so there's a danger that
+ -- it'll be inlined at every literal, which is a waste
unpackCString# addr
= unpack 0#
where
unpack nh
| ch `eqChar#` '\0'# = []
- | otherwise = C# ch : unpack (nh +# 1#)
+ | otherwise = C# ch : unpack (nh +# 1#)
where
- ch = indexCharOffAddr# addr nh
+ !ch = indexCharOffAddr# addr nh
unpackAppendCString# :: Addr# -> [Char] -> [Char]
+{-# NOINLINE unpackAppendCString# #-}
+ -- See the NOINLINE note on unpackCString#
unpackAppendCString# addr rest
= unpack 0#
where
unpack nh
| ch `eqChar#` '\0'# = rest
- | otherwise = C# ch : unpack (nh +# 1#)
+ | otherwise = C# ch : unpack (nh +# 1#)
where
- ch = indexCharOffAddr# addr nh
+ !ch = indexCharOffAddr# addr nh
unpackFoldrCString# :: Addr# -> (Char -> a -> a) -> a -> a
-{-# NOINLINE [0] unpackFoldrCString# #-}
--- Don't inline till right at the end;
--- usually the unpack-list rule turns it into unpackCStringList
+
+-- Usually the unpack-list rule turns unpackFoldrCString# into unpackCString#
+
+-- It also has a BuiltInRule in PrelRules.lhs:
+-- unpackFoldrCString# "foo" c (unpackFoldrCString# "baz" c n)
+-- = unpackFoldrCString# "foobaz" c n
+
+{-# NOINLINE unpackFoldrCString# #-}
+-- At one stage I had NOINLINE [0] on the grounds that, unlike
+-- unpackCString#, there *is* some point in inlining
+-- unpackFoldrCString#, because we get better code for the
+-- higher-order function call. BUT there may be a lot of
+-- literal strings, and making a separate 'unpack' loop for
+-- each is highly gratuitous. See nofib/real/anna/PrettyPrint.
+
unpackFoldrCString# addr f z
= unpack 0#
where
unpack nh
| ch `eqChar#` '\0'# = z
- | otherwise = C# ch `f` unpack (nh +# 1#)
+ | otherwise = C# ch `f` unpack (nh +# 1#)
where
- ch = indexCharOffAddr# addr nh
+ !ch = indexCharOffAddr# addr nh
unpackCStringUtf8# :: Addr# -> [Char]
unpackCStringUtf8# addr
(ord# (indexCharOffAddr# addr (nh +# 3#)) -# 0x80#))) :
unpack (nh +# 4#)
where
- ch = indexCharOffAddr# addr nh
+ !ch = indexCharOffAddr# addr nh
unpackNBytes# :: Addr# -> Int# -> [Char]
unpackNBytes# _addr 0# = []
unpack acc i#
| i# <# 0# = acc
| otherwise =
- case indexCharOffAddr# addr i# of
- ch -> unpack (C# ch : acc) (i# -# 1#)
+ case indexCharOffAddr# addr i# of
+ ch -> unpack (C# ch : acc) (i# -# 1#)
{-# RULES
-"unpack" [~1] forall a . unpackCString# a = build (unpackFoldrCString# a)
+"unpack" [~1] forall a . unpackCString# a = build (unpackFoldrCString# a)
"unpack-list" [1] forall a . unpackFoldrCString# a (:) [] = unpackCString# a
"unpack-append" forall a n . unpackFoldrCString# a (:) n = unpackAppendCString# a n
-- There's a built-in rule (in PrelRules.lhs) for
--- unpackFoldr "foo" c (unpackFoldr "baz" c n) = unpackFoldr "foobaz" c n
+-- unpackFoldr "foo" c (unpackFoldr "baz" c n) = unpackFoldr "foobaz" c n
#-}
\end{code}