-- Hoogle documentation, generated by Haddock
-- See Hoogle, http://www.haskell.org/hoogle/


-- | Compatibility with Haskell 2010
--   
--   This package provides exactly the library modules defined by the
--   Haskell 2010 standard.
@package haskell2010
@version 1.1.0.1


-- | The Haskell 2010 Prelude: a standard module imported by default into
--   all Haskell modules. For more documentation, see the Haskell 2010
--   Report <a>http://www.haskell.org/onlinereport/</a>.
module Prelude
data Bool :: *
False :: Bool
True :: Bool

-- | Boolean "and"
(&&) :: Bool -> Bool -> Bool

-- | Boolean "or"
(||) :: Bool -> Bool -> Bool

-- | Boolean "not"
not :: Bool -> Bool

-- | <a>otherwise</a> is defined as the value <a>True</a>. It helps to make
--   guards more readable. eg.
--   
--   <pre>
--   f x | x &lt; 0     = ...
--       | otherwise = ...
--   </pre>
otherwise :: Bool

-- | The <a>Maybe</a> type encapsulates an optional value. A value of type
--   <tt><a>Maybe</a> a</tt> either contains a value of type <tt>a</tt>
--   (represented as <tt><a>Just</a> a</tt>), or it is empty (represented
--   as <a>Nothing</a>). Using <a>Maybe</a> is a good way to deal with
--   errors or exceptional cases without resorting to drastic measures such
--   as <a>error</a>.
--   
--   The <a>Maybe</a> type is also a monad. It is a simple kind of error
--   monad, where all errors are represented by <a>Nothing</a>. A richer
--   error monad can be built using the <a>Either</a> type.
data Maybe a :: * -> *
Nothing :: Maybe a
Just :: a -> Maybe a

-- | The <a>maybe</a> function takes a default value, a function, and a
--   <a>Maybe</a> value. If the <a>Maybe</a> value is <a>Nothing</a>, the
--   function returns the default value. Otherwise, it applies the function
--   to the value inside the <a>Just</a> and returns the result.
maybe :: b -> (a -> b) -> Maybe a -> b

-- | The <a>Either</a> type represents values with two possibilities: a
--   value of type <tt><a>Either</a> a b</tt> is either <tt><a>Left</a>
--   a</tt> or <tt><a>Right</a> b</tt>.
--   
--   The <a>Either</a> type is sometimes used to represent a value which is
--   either correct or an error; by convention, the <a>Left</a> constructor
--   is used to hold an error value and the <a>Right</a> constructor is
--   used to hold a correct value (mnemonic: "right" also means "correct").
data Either a b :: * -> * -> *
Left :: a -> Either a b
Right :: b -> Either a b

-- | Case analysis for the <a>Either</a> type. If the value is
--   <tt><a>Left</a> a</tt>, apply the first function to <tt>a</tt>; if it
--   is <tt><a>Right</a> b</tt>, apply the second function to <tt>b</tt>.
either :: (a -> c) -> (b -> c) -> Either a b -> c
data Ordering :: *
LT :: Ordering
EQ :: Ordering
GT :: Ordering

-- | The character type <a>Char</a> is an enumeration whose values
--   represent Unicode (or equivalently ISO/IEC 10646) characters (see
--   <a>http://www.unicode.org/</a> for details). This set extends the ISO
--   8859-1 (Latin-1) character set (the first 256 characters), which is
--   itself an extension of the ASCII character set (the first 128
--   characters). A character literal in Haskell has type <a>Char</a>.
--   
--   To convert a <a>Char</a> to or from the corresponding <a>Int</a> value
--   defined by Unicode, use <a>toEnum</a> and <a>fromEnum</a> from the
--   <a>Enum</a> class respectively (or equivalently <tt>ord</tt> and
--   <tt>chr</tt>).
data Char :: *

-- | A <a>String</a> is a list of characters. String constants in Haskell
--   are values of type <a>String</a>.
type String = [Char]

-- | Extract the first component of a pair.
fst :: (a, b) -> a

-- | Extract the second component of a pair.
snd :: (a, b) -> b

-- | <a>curry</a> converts an uncurried function to a curried function.
curry :: ((a, b) -> c) -> a -> b -> c

-- | <a>uncurry</a> converts a curried function to a function on pairs.
uncurry :: (a -> b -> c) -> (a, b) -> c

-- | The <a>Eq</a> class defines equality (<a>==</a>) and inequality
--   (<a>/=</a>). All the basic datatypes exported by the <a>Prelude</a>
--   are instances of <a>Eq</a>, and <a>Eq</a> may be derived for any
--   datatype whose constituents are also instances of <a>Eq</a>.
--   
--   Minimal complete definition: either <a>==</a> or <a>/=</a>.
class Eq a
(==) :: Eq a => a -> a -> Bool
(/=) :: Eq a => a -> a -> Bool

-- | The <a>Ord</a> class is used for totally ordered datatypes.
--   
--   Instances of <a>Ord</a> can be derived for any user-defined datatype
--   whose constituent types are in <a>Ord</a>. The declared order of the
--   constructors in the data declaration determines the ordering in
--   derived <a>Ord</a> instances. The <a>Ordering</a> datatype allows a
--   single comparison to determine the precise ordering of two objects.
--   
--   Minimal complete definition: either <a>compare</a> or <a>&lt;=</a>.
--   Using <a>compare</a> can be more efficient for complex types.
class Eq a => Ord a
compare :: Ord a => a -> a -> Ordering
(<) :: Ord a => a -> a -> Bool
(>=) :: Ord a => a -> a -> Bool
(>) :: Ord a => a -> a -> Bool
(<=) :: Ord a => a -> a -> Bool
max :: Ord a => a -> a -> a
min :: Ord a => a -> a -> a

-- | Class <a>Enum</a> defines operations on sequentially ordered types.
--   
--   The <tt>enumFrom</tt>... methods are used in Haskell's translation of
--   arithmetic sequences.
--   
--   Instances of <a>Enum</a> may be derived for any enumeration type
--   (types whose constructors have no fields). The nullary constructors
--   are assumed to be numbered left-to-right by <a>fromEnum</a> from
--   <tt>0</tt> through <tt>n-1</tt>. See Chapter 10 of the <i>Haskell
--   Report</i> for more details.
--   
--   For any type that is an instance of class <a>Bounded</a> as well as
--   <a>Enum</a>, the following should hold:
--   
--   <ul>
--   <li>The calls <tt><a>succ</a> <a>maxBound</a></tt> and <tt><a>pred</a>
--   <a>minBound</a></tt> should result in a runtime error.</li>
--   <li><a>fromEnum</a> and <a>toEnum</a> should give a runtime error if
--   the result value is not representable in the result type. For example,
--   <tt><a>toEnum</a> 7 :: <a>Bool</a></tt> is an error.</li>
--   <li><a>enumFrom</a> and <a>enumFromThen</a> should be defined with an
--   implicit bound, thus:</li>
--   </ul>
--   
--   <pre>
--   enumFrom     x   = enumFromTo     x maxBound
--   enumFromThen x y = enumFromThenTo x y bound
--     where
--       bound | fromEnum y &gt;= fromEnum x = maxBound
--             | otherwise                = minBound
--   </pre>
class Enum a
succ :: Enum a => a -> a
pred :: Enum a => a -> a
toEnum :: Enum a => Int -> a
fromEnum :: Enum a => a -> Int
enumFrom :: Enum a => a -> [a]
enumFromThen :: Enum a => a -> a -> [a]
enumFromTo :: Enum a => a -> a -> [a]
enumFromThenTo :: Enum a => a -> a -> a -> [a]

-- | The <a>Bounded</a> class is used to name the upper and lower limits of
--   a type. <a>Ord</a> is not a superclass of <a>Bounded</a> since types
--   that are not totally ordered may also have upper and lower bounds.
--   
--   The <a>Bounded</a> class may be derived for any enumeration type;
--   <a>minBound</a> is the first constructor listed in the <tt>data</tt>
--   declaration and <a>maxBound</a> is the last. <a>Bounded</a> may also
--   be derived for single-constructor datatypes whose constituent types
--   are in <a>Bounded</a>.
class Bounded a
minBound :: Bounded a => a
maxBound :: Bounded a => a

-- | A fixed-precision integer type with at least the range <tt>[-2^29 ..
--   2^29-1]</tt>. The exact range for a given implementation can be
--   determined by using <a>minBound</a> and <a>maxBound</a> from the
--   <a>Bounded</a> class.
data Int :: *
data Integer :: *

-- | Single-precision floating point numbers. It is desirable that this
--   type be at least equal in range and precision to the IEEE
--   single-precision type.
data Float :: *

-- | Double-precision floating point numbers. It is desirable that this
--   type be at least equal in range and precision to the IEEE
--   double-precision type.
data Double :: *

-- | Arbitrary-precision rational numbers, represented as a ratio of two
--   <a>Integer</a> values. A rational number may be constructed using the
--   <a>%</a> operator.
type Rational = Ratio Integer

-- | Basic numeric class.
--   
--   Minimal complete definition: all except <a>negate</a> or <tt>(-)</tt>
class Num a
(+) :: Num a => a -> a -> a
(*) :: Num a => a -> a -> a
(-) :: Num a => a -> a -> a
negate :: Num a => a -> a
abs :: Num a => a -> a
signum :: Num a => a -> a
fromInteger :: Num a => Integer -> a
class (Num a, Ord a) => Real a
toRational :: Real a => a -> Rational

-- | Integral numbers, supporting integer division.
--   
--   Minimal complete definition: <a>quotRem</a> and <a>toInteger</a>
class (Real a, Enum a) => Integral a
quot :: Integral a => a -> a -> a
rem :: Integral a => a -> a -> a
div :: Integral a => a -> a -> a
mod :: Integral a => a -> a -> a
quotRem :: Integral a => a -> a -> (a, a)
divMod :: Integral a => a -> a -> (a, a)
toInteger :: Integral a => a -> Integer

-- | Fractional numbers, supporting real division.
--   
--   Minimal complete definition: <a>fromRational</a> and (<a>recip</a> or
--   <tt>(<a>/</a>)</tt>)
class Num a => Fractional a
(/) :: Fractional a => a -> a -> a
recip :: Fractional a => a -> a
fromRational :: Fractional a => Rational -> a

-- | Trigonometric and hyperbolic functions and related functions.
--   
--   Minimal complete definition: <a>pi</a>, <a>exp</a>, <a>log</a>,
--   <a>sin</a>, <a>cos</a>, <a>sinh</a>, <a>cosh</a>, <a>asin</a>,
--   <a>acos</a>, <a>atan</a>, <a>asinh</a>, <a>acosh</a> and <a>atanh</a>
class Fractional a => Floating a
pi :: Floating a => a
exp :: Floating a => a -> a
sqrt :: Floating a => a -> a
log :: Floating a => a -> a
(**) :: Floating a => a -> a -> a
logBase :: Floating a => a -> a -> a
sin :: Floating a => a -> a
tan :: Floating a => a -> a
cos :: Floating a => a -> a
asin :: Floating a => a -> a
atan :: Floating a => a -> a
acos :: Floating a => a -> a
sinh :: Floating a => a -> a
tanh :: Floating a => a -> a
cosh :: Floating a => a -> a
asinh :: Floating a => a -> a
atanh :: Floating a => a -> a
acosh :: Floating a => a -> a

-- | Extracting components of fractions.
--   
--   Minimal complete definition: <a>properFraction</a>
class (Real a, Fractional a) => RealFrac a
properFraction :: (RealFrac a, Integral b) => a -> (b, a)
truncate :: (RealFrac a, Integral b) => a -> b
round :: (RealFrac a, Integral b) => a -> b
ceiling :: (RealFrac a, Integral b) => a -> b
floor :: (RealFrac a, Integral b) => a -> b

-- | Efficient, machine-independent access to the components of a
--   floating-point number.
--   
--   Minimal complete definition: all except <a>exponent</a>,
--   <a>significand</a>, <a>scaleFloat</a> and <a>atan2</a>
class (RealFrac a, Floating a) => RealFloat a
floatRadix :: RealFloat a => a -> Integer
floatDigits :: RealFloat a => a -> Int
floatRange :: RealFloat a => a -> (Int, Int)
decodeFloat :: RealFloat a => a -> (Integer, Int)
encodeFloat :: RealFloat a => Integer -> Int -> a
exponent :: RealFloat a => a -> Int
significand :: RealFloat a => a -> a
scaleFloat :: RealFloat a => Int -> a -> a
isNaN :: RealFloat a => a -> Bool
isInfinite :: RealFloat a => a -> Bool
isDenormalized :: RealFloat a => a -> Bool
isNegativeZero :: RealFloat a => a -> Bool
isIEEE :: RealFloat a => a -> Bool
atan2 :: RealFloat a => a -> a -> a

-- | the same as <tt><a>flip</a> (<a>-</a>)</tt>.
--   
--   Because <tt>-</tt> is treated specially in the Haskell grammar,
--   <tt>(-</tt> <i>e</i><tt>)</tt> is not a section, but an application of
--   prefix negation. However, <tt>(<a>subtract</a></tt>
--   <i>exp</i><tt>)</tt> is equivalent to the disallowed section.
subtract :: Num a => a -> a -> a
even :: Integral a => a -> Bool
odd :: Integral a => a -> Bool

-- | <tt><a>gcd</a> x y</tt> is the greatest (positive) integer that
--   divides both <tt>x</tt> and <tt>y</tt>; for example <tt><a>gcd</a>
--   (-3) 6</tt> = <tt>3</tt>, <tt><a>gcd</a> (-3) (-6)</tt> = <tt>3</tt>,
--   <tt><a>gcd</a> 0 4</tt> = <tt>4</tt>. <tt><a>gcd</a> 0 0</tt> raises a
--   runtime error.
gcd :: Integral a => a -> a -> a

-- | <tt><a>lcm</a> x y</tt> is the smallest positive integer that both
--   <tt>x</tt> and <tt>y</tt> divide.
lcm :: Integral a => a -> a -> a

-- | raise a number to a non-negative integral power
(^) :: (Num a, Integral b) => a -> b -> a

-- | raise a number to an integral power
(^^) :: (Fractional a, Integral b) => a -> b -> a

-- | general coercion from integral types
fromIntegral :: (Integral a, Num b) => a -> b

-- | general coercion to fractional types
realToFrac :: (Real a, Fractional b) => a -> b

-- | The <a>Monad</a> class defines the basic operations over a
--   <i>monad</i>, a concept from a branch of mathematics known as
--   <i>category theory</i>. From the perspective of a Haskell programmer,
--   however, it is best to think of a monad as an <i>abstract datatype</i>
--   of actions. Haskell's <tt>do</tt> expressions provide a convenient
--   syntax for writing monadic expressions.
--   
--   Minimal complete definition: <a>&gt;&gt;=</a> and <a>return</a>.
--   
--   Instances of <a>Monad</a> should satisfy the following laws:
--   
--   <pre>
--   return a &gt;&gt;= k  ==  k a
--   m &gt;&gt;= return  ==  m
--   m &gt;&gt;= (\x -&gt; k x &gt;&gt;= h)  ==  (m &gt;&gt;= k) &gt;&gt;= h
--   </pre>
--   
--   Instances of both <a>Monad</a> and <a>Functor</a> should additionally
--   satisfy the law:
--   
--   <pre>
--   fmap f xs  ==  xs &gt;&gt;= return . f
--   </pre>
--   
--   The instances of <a>Monad</a> for lists, <a>Maybe</a> and <a>IO</a>
--   defined in the <a>Prelude</a> satisfy these laws.
class Monad (m :: * -> *)
(>>=) :: Monad m => m a -> (a -> m b) -> m b
(>>) :: Monad m => m a -> m b -> m b
return :: Monad m => a -> m a
fail :: Monad m => String -> m a

-- | The <a>Functor</a> class is used for types that can be mapped over.
--   Instances of <a>Functor</a> should satisfy the following laws:
--   
--   <pre>
--   fmap id  ==  id
--   fmap (f . g)  ==  fmap f . fmap g
--   </pre>
--   
--   The instances of <a>Functor</a> for lists, <a>Maybe</a> and <a>IO</a>
--   satisfy these laws.
class Functor (f :: * -> *)
fmap :: Functor f => (a -> b) -> f a -> f b

-- | <tt><a>mapM</a> f</tt> is equivalent to <tt><a>sequence</a> .
--   <a>map</a> f</tt>.
mapM :: Monad m => (a -> m b) -> [a] -> m [b]

-- | <tt><a>mapM_</a> f</tt> is equivalent to <tt><a>sequence_</a> .
--   <a>map</a> f</tt>.
mapM_ :: Monad m => (a -> m b) -> [a] -> m ()

-- | Evaluate each action in the sequence from left to right, and collect
--   the results.
sequence :: Monad m => [m a] -> m [a]

-- | Evaluate each action in the sequence from left to right, and ignore
--   the results.
sequence_ :: Monad m => [m a] -> m ()

-- | Same as <a>&gt;&gt;=</a>, but with the arguments interchanged.
(=<<) :: Monad m => (a -> m b) -> m a -> m b

-- | Identity function.
id :: a -> a

-- | Constant function.
const :: a -> b -> a

-- | Function composition.
(.) :: (b -> c) -> (a -> b) -> a -> c

-- | <tt><a>flip</a> f</tt> takes its (first) two arguments in the reverse
--   order of <tt>f</tt>.
flip :: (a -> b -> c) -> b -> a -> c

-- | Application operator. This operator is redundant, since ordinary
--   application <tt>(f x)</tt> means the same as <tt>(f <a>$</a> x)</tt>.
--   However, <a>$</a> has low, right-associative binding precedence, so it
--   sometimes allows parentheses to be omitted; for example:
--   
--   <pre>
--   f $ g $ h x  =  f (g (h x))
--   </pre>
--   
--   It is also useful in higher-order situations, such as <tt><a>map</a>
--   (<a>$</a> 0) xs</tt>, or <tt><a>zipWith</a> (<a>$</a>) fs xs</tt>.
($) :: (a -> b) -> a -> b

-- | <tt><a>until</a> p f</tt> yields the result of applying <tt>f</tt>
--   until <tt>p</tt> holds.
until :: (a -> Bool) -> (a -> a) -> a -> a

-- | <a>asTypeOf</a> is a type-restricted version of <a>const</a>. 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

-- | <a>error</a> stops execution and displays an error message.
error :: [Char] -> a

-- | A special case of <a>error</a>. It is expected that compilers will
--   recognize this and insert error messages which are more appropriate to
--   the context in which <a>undefined</a> appears.
undefined :: a

-- | Evaluates its first argument to head normal form, and then returns its
--   second argument as the result.
seq :: a -> b -> b

-- | Strict (call-by-value) application, defined in terms of <a>seq</a>.
($!) :: (a -> b) -> a -> b

-- | <a>map</a> <tt>f xs</tt> is the list obtained by applying <tt>f</tt>
--   to each element of <tt>xs</tt>, i.e.,
--   
--   <pre>
--   map f [x1, x2, ..., xn] == [f x1, f x2, ..., f xn]
--   map f [x1, x2, ...] == [f x1, f x2, ...]
--   </pre>
map :: (a -> b) -> [a] -> [b]

-- | Append two lists, i.e.,
--   
--   <pre>
--   [x1, ..., xm] ++ [y1, ..., yn] == [x1, ..., xm, y1, ..., yn]
--   [x1, ..., xm] ++ [y1, ...] == [x1, ..., xm, y1, ...]
--   </pre>
--   
--   If the first list is not finite, the result is the first list.
(++) :: [a] -> [a] -> [a]

-- | <a>filter</a>, applied to a predicate and a list, returns the list of
--   those elements that satisfy the predicate; i.e.,
--   
--   <pre>
--   filter p xs = [ x | x &lt;- xs, p x]
--   </pre>
filter :: (a -> Bool) -> [a] -> [a]

-- | Extract the first element of a list, which must be non-empty.
head :: [a] -> a

-- | Extract the last element of a list, which must be finite and
--   non-empty.
last :: [a] -> a

-- | Extract the elements after the head of a list, which must be
--   non-empty.
tail :: [a] -> [a]

-- | Return all the elements of a list except the last one. The list must
--   be non-empty.
init :: [a] -> [a]

-- | Test whether a list is empty.
null :: [a] -> Bool

-- | <i>O(n)</i>. <a>length</a> returns the length of a finite list as an
--   <a>Int</a>. It is an instance of the more general
--   <a>genericLength</a>, the result type of which may be any kind of
--   number.
length :: [a] -> Int

-- | List index (subscript) operator, starting from 0. It is an instance of
--   the more general <a>genericIndex</a>, which takes an index of any
--   integral type.
(!!) :: [a] -> Int -> a

-- | <a>reverse</a> <tt>xs</tt> returns the elements of <tt>xs</tt> in
--   reverse order. <tt>xs</tt> must be finite.
reverse :: [a] -> [a]

-- | <a>foldl</a>, applied to a binary operator, a starting value
--   (typically the left-identity of the operator), and a list, reduces the
--   list using the binary operator, from left to right:
--   
--   <pre>
--   foldl f z [x1, x2, ..., xn] == (...((z `f` x1) `f` x2) `f`...) `f` xn
--   </pre>
--   
--   The list must be finite.
foldl :: (a -> b -> a) -> a -> [b] -> a

-- | <a>foldl1</a> is a variant of <a>foldl</a> that has no starting value
--   argument, and thus must be applied to non-empty lists.
foldl1 :: (a -> a -> a) -> [a] -> a

-- | <a>foldr</a>, applied to a binary operator, a starting value
--   (typically the right-identity of the operator), and a list, reduces
--   the list using the binary operator, from right to left:
--   
--   <pre>
--   foldr f z [x1, x2, ..., xn] == x1 `f` (x2 `f` ... (xn `f` z)...)
--   </pre>
foldr :: (a -> b -> b) -> b -> [a] -> b

-- | <a>foldr1</a> is a variant of <a>foldr</a> that has no starting value
--   argument, and thus must be applied to non-empty lists.
foldr1 :: (a -> a -> a) -> [a] -> a

-- | <a>and</a> returns the conjunction of a Boolean list. For the result
--   to be <a>True</a>, the list must be finite; <a>False</a>, however,
--   results from a <a>False</a> value at a finite index of a finite or
--   infinite list.
and :: [Bool] -> Bool

-- | <a>or</a> returns the disjunction of a Boolean list. For the result to
--   be <a>False</a>, the list must be finite; <a>True</a>, however,
--   results from a <a>True</a> value at a finite index of a finite or
--   infinite list.
or :: [Bool] -> Bool

-- | Applied to a predicate and a list, <a>any</a> determines if any
--   element of the list satisfies the predicate. For the result to be
--   <a>False</a>, the list must be finite; <a>True</a>, however, results
--   from a <a>True</a> value for the predicate applied to an element at a
--   finite index of a finite or infinite list.
any :: (a -> Bool) -> [a] -> Bool

-- | Applied to a predicate and a list, <a>all</a> determines if all
--   elements of the list satisfy the predicate. For the result to be
--   <a>True</a>, the list must be finite; <a>False</a>, however, results
--   from a <a>False</a> value for the predicate applied to an element at a
--   finite index of a finite or infinite list.
all :: (a -> Bool) -> [a] -> Bool

-- | The <a>sum</a> function computes the sum of a finite list of numbers.
sum :: Num a => [a] -> a

-- | The <a>product</a> function computes the product of a finite list of
--   numbers.
product :: Num a => [a] -> a

-- | Concatenate a list of lists.
concat :: [[a]] -> [a]

-- | Map a function over a list and concatenate the results.
concatMap :: (a -> [b]) -> [a] -> [b]

-- | <a>maximum</a> returns the maximum value from a list, which must be
--   non-empty, finite, and of an ordered type. It is a special case of
--   <a>maximumBy</a>, which allows the programmer to supply their own
--   comparison function.
maximum :: Ord a => [a] -> a

-- | <a>minimum</a> returns the minimum value from a list, which must be
--   non-empty, finite, and of an ordered type. It is a special case of
--   <a>minimumBy</a>, which allows the programmer to supply their own
--   comparison function.
minimum :: Ord a => [a] -> a

-- | <a>scanl</a> is similar to <a>foldl</a>, but returns a list of
--   successive reduced values from the left:
--   
--   <pre>
--   scanl f z [x1, x2, ...] == [z, z `f` x1, (z `f` x1) `f` x2, ...]
--   </pre>
--   
--   Note that
--   
--   <pre>
--   last (scanl f z xs) == foldl f z xs.
--   </pre>
scanl :: (a -> b -> a) -> a -> [b] -> [a]

-- | <a>scanl1</a> is a variant of <a>scanl</a> that has no starting value
--   argument:
--   
--   <pre>
--   scanl1 f [x1, x2, ...] == [x1, x1 `f` x2, ...]
--   </pre>
scanl1 :: (a -> a -> a) -> [a] -> [a]

-- | <a>scanr</a> is the right-to-left dual of <a>scanl</a>. Note that
--   
--   <pre>
--   head (scanr f z xs) == foldr f z xs.
--   </pre>
scanr :: (a -> b -> b) -> b -> [a] -> [b]

-- | <a>scanr1</a> is a variant of <a>scanr</a> that has no starting value
--   argument.
scanr1 :: (a -> a -> a) -> [a] -> [a]

-- | <a>iterate</a> <tt>f x</tt> returns an infinite list of repeated
--   applications of <tt>f</tt> to <tt>x</tt>:
--   
--   <pre>
--   iterate f x == [x, f x, f (f x), ...]
--   </pre>
iterate :: (a -> a) -> a -> [a]

-- | <a>repeat</a> <tt>x</tt> is an infinite list, with <tt>x</tt> the
--   value of every element.
repeat :: a -> [a]

-- | <a>replicate</a> <tt>n x</tt> is a list of length <tt>n</tt> with
--   <tt>x</tt> the value of every element. It is an instance of the more
--   general <a>genericReplicate</a>, in which <tt>n</tt> may be of any
--   integral type.
replicate :: Int -> a -> [a]

-- | <a>cycle</a> ties a finite list into a circular one, or equivalently,
--   the infinite repetition of the original list. It is the identity on
--   infinite lists.
cycle :: [a] -> [a]

-- | <a>take</a> <tt>n</tt>, applied to a list <tt>xs</tt>, returns the
--   prefix of <tt>xs</tt> of length <tt>n</tt>, or <tt>xs</tt> itself if
--   <tt>n &gt; <a>length</a> xs</tt>:
--   
--   <pre>
--   take 5 "Hello World!" == "Hello"
--   take 3 [1,2,3,4,5] == [1,2,3]
--   take 3 [1,2] == [1,2]
--   take 3 [] == []
--   take (-1) [1,2] == []
--   take 0 [1,2] == []
--   </pre>
--   
--   It is an instance of the more general <a>genericTake</a>, in which
--   <tt>n</tt> may be of any integral type.
take :: Int -> [a] -> [a]

-- | <a>drop</a> <tt>n xs</tt> returns the suffix of <tt>xs</tt> after the
--   first <tt>n</tt> elements, or <tt>[]</tt> if <tt>n &gt; <a>length</a>
--   xs</tt>:
--   
--   <pre>
--   drop 6 "Hello World!" == "World!"
--   drop 3 [1,2,3,4,5] == [4,5]
--   drop 3 [1,2] == []
--   drop 3 [] == []
--   drop (-1) [1,2] == [1,2]
--   drop 0 [1,2] == [1,2]
--   </pre>
--   
--   It is an instance of the more general <a>genericDrop</a>, in which
--   <tt>n</tt> may be of any integral type.
drop :: Int -> [a] -> [a]

-- | <a>splitAt</a> <tt>n xs</tt> returns a tuple where first element is
--   <tt>xs</tt> prefix of length <tt>n</tt> and second element is the
--   remainder of the list:
--   
--   <pre>
--   splitAt 6 "Hello World!" == ("Hello ","World!")
--   splitAt 3 [1,2,3,4,5] == ([1,2,3],[4,5])
--   splitAt 1 [1,2,3] == ([1],[2,3])
--   splitAt 3 [1,2,3] == ([1,2,3],[])
--   splitAt 4 [1,2,3] == ([1,2,3],[])
--   splitAt 0 [1,2,3] == ([],[1,2,3])
--   splitAt (-1) [1,2,3] == ([],[1,2,3])
--   </pre>
--   
--   It is equivalent to <tt>(<a>take</a> n xs, <a>drop</a> n xs)</tt>.
--   <a>splitAt</a> is an instance of the more general
--   <a>genericSplitAt</a>, in which <tt>n</tt> may be of any integral
--   type.
splitAt :: Int -> [a] -> ([a], [a])

-- | <a>takeWhile</a>, applied to a predicate <tt>p</tt> and a list
--   <tt>xs</tt>, returns the longest prefix (possibly empty) of
--   <tt>xs</tt> of elements that satisfy <tt>p</tt>:
--   
--   <pre>
--   takeWhile (&lt; 3) [1,2,3,4,1,2,3,4] == [1,2]
--   takeWhile (&lt; 9) [1,2,3] == [1,2,3]
--   takeWhile (&lt; 0) [1,2,3] == []
--   </pre>
takeWhile :: (a -> Bool) -> [a] -> [a]

-- | <a>dropWhile</a> <tt>p xs</tt> returns the suffix remaining after
--   <a>takeWhile</a> <tt>p xs</tt>:
--   
--   <pre>
--   dropWhile (&lt; 3) [1,2,3,4,5,1,2,3] == [3,4,5,1,2,3]
--   dropWhile (&lt; 9) [1,2,3] == []
--   dropWhile (&lt; 0) [1,2,3] == [1,2,3]
--   </pre>
dropWhile :: (a -> Bool) -> [a] -> [a]

-- | <a>span</a>, applied to a predicate <tt>p</tt> and a list <tt>xs</tt>,
--   returns a tuple where first element is longest prefix (possibly empty)
--   of <tt>xs</tt> of elements that satisfy <tt>p</tt> and second element
--   is the remainder of the list:
--   
--   <pre>
--   span (&lt; 3) [1,2,3,4,1,2,3,4] == ([1,2],[3,4,1,2,3,4])
--   span (&lt; 9) [1,2,3] == ([1,2,3],[])
--   span (&lt; 0) [1,2,3] == ([],[1,2,3])
--   </pre>
--   
--   <a>span</a> <tt>p xs</tt> is equivalent to <tt>(<a>takeWhile</a> p xs,
--   <a>dropWhile</a> p xs)</tt>
span :: (a -> Bool) -> [a] -> ([a], [a])

-- | <a>break</a>, applied to a predicate <tt>p</tt> and a list
--   <tt>xs</tt>, returns a tuple where first element is longest prefix
--   (possibly empty) of <tt>xs</tt> of elements that <i>do not satisfy</i>
--   <tt>p</tt> and second element is the remainder of the list:
--   
--   <pre>
--   break (&gt; 3) [1,2,3,4,1,2,3,4] == ([1,2,3],[4,1,2,3,4])
--   break (&lt; 9) [1,2,3] == ([],[1,2,3])
--   break (&gt; 9) [1,2,3] == ([1,2,3],[])
--   </pre>
--   
--   <a>break</a> <tt>p</tt> is equivalent to <tt><a>span</a> (<a>not</a> .
--   p)</tt>.
break :: (a -> Bool) -> [a] -> ([a], [a])

-- | <a>elem</a> is the list membership predicate, usually written in infix
--   form, e.g., <tt>x `elem` xs</tt>. For the result to be <a>False</a>,
--   the list must be finite; <a>True</a>, however, results from an element
--   equal to <tt>x</tt> found at a finite index of a finite or infinite
--   list.
elem :: Eq a => a -> [a] -> Bool

-- | <a>notElem</a> is the negation of <a>elem</a>.
notElem :: Eq a => a -> [a] -> Bool

-- | <a>lookup</a> <tt>key assocs</tt> looks up a key in an association
--   list.
lookup :: Eq a => a -> [(a, b)] -> Maybe b

-- | <a>zip</a> takes two lists and returns a list of corresponding pairs.
--   If one input list is short, excess elements of the longer list are
--   discarded.
zip :: [a] -> [b] -> [(a, b)]

-- | <a>zip3</a> takes three lists and returns a list of triples, analogous
--   to <a>zip</a>.
zip3 :: [a] -> [b] -> [c] -> [(a, b, c)]

-- | <a>zipWith</a> generalises <a>zip</a> by zipping with the function
--   given as the first argument, instead of a tupling function. For
--   example, <tt><a>zipWith</a> (+)</tt> is applied to two lists to
--   produce the list of corresponding sums.
zipWith :: (a -> b -> c) -> [a] -> [b] -> [c]

-- | The <a>zipWith3</a> function takes a function which combines three
--   elements, as well as three lists and returns a list of their
--   point-wise combination, analogous to <a>zipWith</a>.
zipWith3 :: (a -> b -> c -> d) -> [a] -> [b] -> [c] -> [d]

-- | <a>unzip</a> transforms a list of pairs into a list of first
--   components and a list of second components.
unzip :: [(a, b)] -> ([a], [b])

-- | The <a>unzip3</a> function takes a list of triples and returns three
--   lists, analogous to <a>unzip</a>.
unzip3 :: [(a, b, c)] -> ([a], [b], [c])

-- | <a>lines</a> breaks a string up into a list of strings at newline
--   characters. The resulting strings do not contain newlines.
lines :: String -> [String]

-- | <a>words</a> breaks a string up into a list of words, which were
--   delimited by white space.
words :: String -> [String]

-- | <a>unlines</a> is an inverse operation to <a>lines</a>. It joins
--   lines, after appending a terminating newline to each.
unlines :: [String] -> String

-- | <a>unwords</a> is an inverse operation to <a>words</a>. It joins words
--   with separating spaces.
unwords :: [String] -> String

-- | The <tt>shows</tt> functions return a function that prepends the
--   output <a>String</a> to an existing <a>String</a>. This allows
--   constant-time concatenation of results using function composition.
type ShowS = String -> String

-- | Conversion of values to readable <a>String</a>s.
--   
--   Minimal complete definition: <a>showsPrec</a> or <a>show</a>.
--   
--   Derived instances of <a>Show</a> have the following properties, which
--   are compatible with derived instances of <a>Read</a>:
--   
--   <ul>
--   <li>The result of <a>show</a> is a syntactically correct Haskell
--   expression containing only constants, given the fixity declarations in
--   force at the point where the type is declared. It contains only the
--   constructor names defined in the data type, parentheses, and spaces.
--   When labelled constructor fields are used, braces, commas, field
--   names, and equal signs are also used.</li>
--   <li>If the constructor is defined to be an infix operator, then
--   <a>showsPrec</a> will produce infix applications of the
--   constructor.</li>
--   <li>the representation will be enclosed in parentheses if the
--   precedence of the top-level constructor in <tt>x</tt> is less than
--   <tt>d</tt> (associativity is ignored). Thus, if <tt>d</tt> is
--   <tt>0</tt> then the result is never surrounded in parentheses; if
--   <tt>d</tt> is <tt>11</tt> it is always surrounded in parentheses,
--   unless it is an atomic expression.</li>
--   <li>If the constructor is defined using record syntax, then
--   <a>show</a> will produce the record-syntax form, with the fields given
--   in the same order as the original declaration.</li>
--   </ul>
--   
--   For example, given the declarations
--   
--   <pre>
--   infixr 5 :^:
--   data Tree a =  Leaf a  |  Tree a :^: Tree a
--   </pre>
--   
--   the derived instance of <a>Show</a> is equivalent to
--   
--   <pre>
--   instance (Show a) =&gt; Show (Tree a) where
--   
--          showsPrec d (Leaf m) = showParen (d &gt; app_prec) $
--               showString "Leaf " . showsPrec (app_prec+1) m
--            where app_prec = 10
--   
--          showsPrec d (u :^: v) = showParen (d &gt; up_prec) $
--               showsPrec (up_prec+1) u .
--               showString " :^: "      .
--               showsPrec (up_prec+1) v
--            where up_prec = 5
--   </pre>
--   
--   Note that right-associativity of <tt>:^:</tt> is ignored. For example,
--   
--   <ul>
--   <li><tt><a>show</a> (Leaf 1 :^: Leaf 2 :^: Leaf 3)</tt> produces the
--   string <tt>"Leaf 1 :^: (Leaf 2 :^: Leaf 3)"</tt>.</li>
--   </ul>
class Show a
showsPrec :: Show a => Int -> a -> ShowS
show :: Show a => a -> String
showList :: Show a => [a] -> ShowS

-- | equivalent to <a>showsPrec</a> with a precedence of 0.
shows :: Show a => a -> ShowS

-- | utility function converting a <a>Char</a> to a show function that
--   simply prepends the character unchanged.
showChar :: Char -> ShowS

-- | utility function converting a <a>String</a> to a show function that
--   simply prepends the string unchanged.
showString :: String -> ShowS

-- | utility function that surrounds the inner show function with
--   parentheses when the <a>Bool</a> parameter is <a>True</a>.
showParen :: Bool -> ShowS -> ShowS

-- | A parser for a type <tt>a</tt>, represented as a function that takes a
--   <a>String</a> and returns a list of possible parses as
--   <tt>(a,<a>String</a>)</tt> pairs.
--   
--   Note that this kind of backtracking parser is very inefficient;
--   reading a large structure may be quite slow (cf <a>ReadP</a>).
type ReadS a = String -> [(a, String)]

-- | Parsing of <a>String</a>s, producing values.
--   
--   Minimal complete definition: <a>readsPrec</a> (or, for GHC only,
--   <a>readPrec</a>)
--   
--   Derived instances of <a>Read</a> make the following assumptions, which
--   derived instances of <a>Show</a> obey:
--   
--   <ul>
--   <li>If the constructor is defined to be an infix operator, then the
--   derived <a>Read</a> instance will parse only infix applications of the
--   constructor (not the prefix form).</li>
--   <li>Associativity is not used to reduce the occurrence of parentheses,
--   although precedence may be.</li>
--   <li>If the constructor is defined using record syntax, the derived
--   <a>Read</a> will parse only the record-syntax form, and furthermore,
--   the fields must be given in the same order as the original
--   declaration.</li>
--   <li>The derived <a>Read</a> instance allows arbitrary Haskell
--   whitespace between tokens of the input string. Extra parentheses are
--   also allowed.</li>
--   </ul>
--   
--   For example, given the declarations
--   
--   <pre>
--   infixr 5 :^:
--   data Tree a =  Leaf a  |  Tree a :^: Tree a
--   </pre>
--   
--   the derived instance of <a>Read</a> in Haskell 98 is equivalent to
--   
--   <pre>
--   instance (Read a) =&gt; Read (Tree a) where
--   
--           readsPrec d r =  readParen (d &gt; app_prec)
--                            (\r -&gt; [(Leaf m,t) |
--                                    ("Leaf",s) &lt;- lex r,
--                                    (m,t) &lt;- readsPrec (app_prec+1) s]) r
--   
--                         ++ readParen (d &gt; up_prec)
--                            (\r -&gt; [(u:^:v,w) |
--                                    (u,s) &lt;- readsPrec (up_prec+1) r,
--                                    (":^:",t) &lt;- lex s,
--                                    (v,w) &lt;- readsPrec (up_prec+1) t]) r
--   
--             where app_prec = 10
--                   up_prec = 5
--   </pre>
--   
--   Note that right-associativity of <tt>:^:</tt> is unused.
--   
--   The derived instance in GHC is equivalent to
--   
--   <pre>
--   instance (Read a) =&gt; Read (Tree a) where
--   
--           readPrec = parens $ (prec app_prec $ do
--                                    Ident "Leaf" &lt;- lexP
--                                    m &lt;- step readPrec
--                                    return (Leaf m))
--   
--                        +++ (prec up_prec $ do
--                                    u &lt;- step readPrec
--                                    Symbol ":^:" &lt;- lexP
--                                    v &lt;- step readPrec
--                                    return (u :^: v))
--   
--             where app_prec = 10
--                   up_prec = 5
--   
--           readListPrec = readListPrecDefault
--   </pre>
class Read a
readsPrec :: Read a => Int -> ReadS a
readList :: Read a => ReadS [a]

-- | equivalent to <a>readsPrec</a> with a precedence of 0.
reads :: Read a => ReadS a

-- | <tt><a>readParen</a> <a>True</a> p</tt> parses what <tt>p</tt> parses,
--   but surrounded with parentheses.
--   
--   <tt><a>readParen</a> <a>False</a> p</tt> parses what <tt>p</tt>
--   parses, but optionally surrounded with parentheses.
readParen :: Bool -> ReadS a -> ReadS a

-- | The <a>read</a> function reads input from a string, which must be
--   completely consumed by the input process.
read :: Read a => String -> a

-- | The <a>lex</a> function reads a single lexeme from the input,
--   discarding initial white space, and returning the characters that
--   constitute the lexeme. If the input string contains only white space,
--   <a>lex</a> returns a single successful `lexeme' consisting of the
--   empty string. (Thus <tt><a>lex</a> "" = [("","")]</tt>.) If there is
--   no legal lexeme at the beginning of the input string, <a>lex</a> fails
--   (i.e. returns <tt>[]</tt>).
--   
--   This lexer is not completely faithful to the Haskell lexical syntax in
--   the following respects:
--   
--   <ul>
--   <li>Qualified names are not handled properly</li>
--   <li>Octal and hexadecimal numerics are not recognized as a single
--   token</li>
--   <li>Comments are not treated properly</li>
--   </ul>
lex :: ReadS String

-- | A value of type <tt><a>IO</a> a</tt> is a computation which, when
--   performed, does some I/O before returning a value of type <tt>a</tt>.
--   
--   There is really only one way to "perform" an I/O action: bind it to
--   <tt>Main.main</tt> in your program. When your program is run, the I/O
--   will be performed. It isn't possible to perform I/O from an arbitrary
--   function, unless that function is itself in the <a>IO</a> monad and
--   called at some point, directly or indirectly, from <tt>Main.main</tt>.
--   
--   <a>IO</a> is a monad, so <a>IO</a> actions can be combined using
--   either the do-notation or the <tt>&gt;&gt;</tt> and <tt>&gt;&gt;=</tt>
--   operations from the <tt>Monad</tt> class.
data IO a :: * -> *

-- | Write a character to the standard output device (same as
--   <a>hPutChar</a> <a>stdout</a>).
putChar :: Char -> IO ()

-- | Write a string to the standard output device (same as <a>hPutStr</a>
--   <a>stdout</a>).
putStr :: String -> IO ()

-- | The same as <a>putStr</a>, but adds a newline character.
putStrLn :: String -> IO ()

-- | The <a>print</a> function outputs a value of any printable type to the
--   standard output device. Printable types are those that are instances
--   of class <a>Show</a>; <a>print</a> converts values to strings for
--   output using the <a>show</a> operation and adds a newline.
--   
--   For example, a program to print the first 20 integers and their powers
--   of 2 could be written as:
--   
--   <pre>
--   main = print ([(n, 2^n) | n &lt;- [0..19]])
--   </pre>
print :: Show a => a -> IO ()

-- | Read a character from the standard input device (same as
--   <a>hGetChar</a> <a>stdin</a>).
getChar :: IO Char

-- | Read a line from the standard input device (same as <a>hGetLine</a>
--   <a>stdin</a>).
getLine :: IO String

-- | The <a>getContents</a> operation returns all user input as a single
--   string, which is read lazily as it is needed (same as
--   <a>hGetContents</a> <a>stdin</a>).
getContents :: IO String

-- | The <a>interact</a> function takes a function of type
--   <tt>String-&gt;String</tt> as its argument. The entire input from the
--   standard input device is passed to this function as its argument, and
--   the resulting string is output on the standard output device.
interact :: (String -> String) -> IO ()

-- | File and directory names are values of type <a>String</a>, whose
--   precise meaning is operating system dependent. Files can be opened,
--   yielding a handle which can then be used to operate on the contents of
--   that file.
type FilePath = String

-- | The <a>readFile</a> function reads a file and returns the contents of
--   the file as a string. The file is read lazily, on demand, as with
--   <a>getContents</a>.
readFile :: FilePath -> IO String

-- | The computation <a>writeFile</a> <tt>file str</tt> function writes the
--   string <tt>str</tt>, to the file <tt>file</tt>.
writeFile :: FilePath -> String -> IO ()

-- | The computation <a>appendFile</a> <tt>file str</tt> function appends
--   the string <tt>str</tt>, to the file <tt>file</tt>.
--   
--   Note that <a>writeFile</a> and <a>appendFile</a> write a literal
--   string to a file. To write a value of any printable type, as with
--   <a>print</a>, use the <a>show</a> function to convert the value to a
--   string first.
--   
--   <pre>
--   main = appendFile "squares" (show [(x,x*x) | x &lt;- [0,0.1..2]])
--   </pre>
appendFile :: FilePath -> String -> IO ()

-- | The <a>readIO</a> function is similar to <a>read</a> except that it
--   signals parse failure to the <a>IO</a> monad instead of terminating
--   the program.
readIO :: Read a => String -> IO a

-- | The <a>readLn</a> function combines <a>getLine</a> and <a>readIO</a>.
readLn :: Read a => IO a

-- | The Haskell 98 type for exceptions in the <a>IO</a> monad. Any I/O
--   operation may raise an <a>IOError</a> instead of returning a result.
--   For a more general type of exception, including also those that arise
--   in pure code, see <a>Control.Exception.Exception</a>.
--   
--   In Haskell 98, this is an opaque type.
type IOError = IOException

-- | Raise an <a>IOError</a> in the <a>IO</a> monad.
ioError :: IOError -> IO a

-- | Construct an <a>IOError</a> value with a string describing the error.
--   The <a>fail</a> method of the <a>IO</a> instance of the <a>Monad</a>
--   class raises a <a>userError</a>, thus:
--   
--   <pre>
--   instance Monad IO where 
--     ...
--     fail s = ioError (userError s)
--   </pre>
userError :: String -> IOError

-- | The <a>catch</a> function establishes a handler that receives any
--   <a>IOError</a> raised in the action protected by <a>catch</a>. An
--   <a>IOError</a> is caught by the most recent handler established by one
--   of the exception handling functions. These handlers are not selective:
--   all <a>IOError</a>s are caught. Exception propagation must be
--   explicitly provided in a handler by re-raising any unwanted
--   exceptions. For example, in
--   
--   <pre>
--   f = catch g (\e -&gt; if IO.isEOFError e then return [] else ioError e)
--   </pre>
--   
--   the function <tt>f</tt> returns <tt>[]</tt> when an end-of-file
--   exception (cf. <a>isEOFError</a>) occurs in <tt>g</tt>; otherwise, the
--   exception is propagated to the next outer handler.
--   
--   When an exception propagates outside the main program, the Haskell
--   system prints the associated <a>IOError</a> value and exits the
--   program.
--   
--   Non-I/O exceptions are not caught by this variant; to catch all
--   exceptions, use <a>catch</a> from <a>Control.Exception</a>.
catch :: IO a -> (IOError -> IO a) -> IO a

module Foreign.StablePtr

-- | A <i>stable pointer</i> is a reference to a Haskell expression that is
--   guaranteed not to be affected by garbage collection, i.e., it will
--   neither be deallocated nor will the value of the stable pointer itself
--   change during garbage collection (ordinary references may be relocated
--   during garbage collection). Consequently, stable pointers can be
--   passed to foreign code, which can treat it as an opaque reference to a
--   Haskell value.
--   
--   A value of type <tt>StablePtr a</tt> is a stable pointer to a Haskell
--   expression of type <tt>a</tt>.
data StablePtr a :: * -> *

-- | Create a stable pointer referring to the given Haskell value.
newStablePtr :: a -> IO (StablePtr a)

-- | Obtain the Haskell value referenced by a stable pointer, i.e., the
--   same value that was passed to the corresponding call to
--   <tt>makeStablePtr</tt>. If the argument to <a>deRefStablePtr</a> has
--   already been freed using <a>freeStablePtr</a>, the behaviour of
--   <a>deRefStablePtr</a> is undefined.
deRefStablePtr :: StablePtr a -> IO a

-- | Dissolve the association between the stable pointer and the Haskell
--   value. Afterwards, if the stable pointer is passed to
--   <a>deRefStablePtr</a> or <a>freeStablePtr</a>, the behaviour is
--   undefined. However, the stable pointer may still be passed to
--   <a>castStablePtrToPtr</a>, but the <tt><a>Ptr</a> ()</tt> value
--   returned by <a>castStablePtrToPtr</a>, in this case, is undefined (in
--   particular, it may be <a>nullPtr</a>). Nevertheless, the call to
--   <a>castStablePtrToPtr</a> is guaranteed not to diverge.
freeStablePtr :: StablePtr a -> IO ()

-- | Coerce a stable pointer to an address. No guarantees are made about
--   the resulting value, except that the original stable pointer can be
--   recovered by <a>castPtrToStablePtr</a>. In particular, the address may
--   not refer to an accessible memory location and any attempt to pass it
--   to the member functions of the class <a>Storable</a> leads to
--   undefined behaviour.
castStablePtrToPtr :: StablePtr a -> Ptr ()

-- | The inverse of <a>castStablePtrToPtr</a>, i.e., we have the identity
--   
--   <pre>
--   sp == castPtrToStablePtr (castStablePtrToPtr sp)
--   </pre>
--   
--   for any stable pointer <tt>sp</tt> on which <a>freeStablePtr</a> has
--   not been executed yet. Moreover, <a>castPtrToStablePtr</a> may only be
--   applied to pointers that have been produced by
--   <a>castStablePtrToPtr</a>.
castPtrToStablePtr :: Ptr () -> StablePtr a

module Data.Ix

-- | The <a>Ix</a> class is used to map a contiguous subrange of values in
--   a type onto integers. It is used primarily for array indexing (see the
--   array package).
--   
--   The first argument <tt>(l,u)</tt> of each of these operations is a
--   pair specifying the lower and upper bounds of a contiguous subrange of
--   values.
--   
--   An implementation is entitled to assume the following laws about these
--   operations:
--   
--   <ul>
--   <li><tt><a>inRange</a> (l,u) i == <a>elem</a> i (<a>range</a>
--   (l,u))</tt> <tt> </tt></li>
--   <li><tt><a>range</a> (l,u) <a>!!</a> <a>index</a> (l,u) i == i</tt>,
--   when <tt><a>inRange</a> (l,u) i</tt></li>
--   <li><tt><a>map</a> (<a>index</a> (l,u)) (<a>range</a> (l,u))) ==
--   [0..<a>rangeSize</a> (l,u)-1]</tt> <tt> </tt></li>
--   <li><tt><a>rangeSize</a> (l,u) == <a>length</a> (<a>range</a>
--   (l,u))</tt> <tt> </tt></li>
--   </ul>
--   
--   Minimal complete instance: <a>range</a>, <a>index</a> and
--   <a>inRange</a>.
class Ord a => Ix a
range :: Ix a => (a, a) -> [a]
index :: Ix a => (a, a) -> a -> Int
inRange :: Ix a => (a, a) -> a -> Bool
rangeSize :: Ix a => (a, a) -> Int

module Data.Char

-- | The character type <a>Char</a> is an enumeration whose values
--   represent Unicode (or equivalently ISO/IEC 10646) characters (see
--   <a>http://www.unicode.org/</a> for details). This set extends the ISO
--   8859-1 (Latin-1) character set (the first 256 characters), which is
--   itself an extension of the ASCII character set (the first 128
--   characters). A character literal in Haskell has type <a>Char</a>.
--   
--   To convert a <a>Char</a> to or from the corresponding <a>Int</a> value
--   defined by Unicode, use <a>toEnum</a> and <a>fromEnum</a> from the
--   <a>Enum</a> class respectively (or equivalently <tt>ord</tt> and
--   <tt>chr</tt>).
data Char :: *

-- | A <a>String</a> is a list of characters. String constants in Haskell
--   are values of type <a>String</a>.
type String = [Char]

-- | Selects control characters, which are the non-printing characters of
--   the Latin-1 subset of Unicode.
isControl :: Char -> Bool

-- | Returns <a>True</a> for any Unicode space character, and the control
--   characters <tt>\t</tt>, <tt>\n</tt>, <tt>\r</tt>, <tt>\f</tt>,
--   <tt>\v</tt>.
isSpace :: Char -> Bool

-- | Selects lower-case alphabetic Unicode characters (letters).
isLower :: Char -> Bool

-- | Selects upper-case or title-case alphabetic Unicode characters
--   (letters). Title case is used by a small number of letter ligatures
--   like the single-character form of <i>Lj</i>.
isUpper :: Char -> Bool

-- | Selects alphabetic Unicode characters (lower-case, upper-case and
--   title-case letters, plus letters of caseless scripts and modifiers
--   letters). This function is equivalent to <a>isLetter</a>.
isAlpha :: Char -> Bool

-- | Selects alphabetic or numeric digit Unicode characters.
--   
--   Note that numeric digits outside the ASCII range are selected by this
--   function but not by <a>isDigit</a>. Such digits may be part of
--   identifiers but are not used by the printer and reader to represent
--   numbers.
isAlphaNum :: Char -> Bool

-- | Selects printable Unicode characters (letters, numbers, marks,
--   punctuation, symbols and spaces).
isPrint :: Char -> Bool

-- | Selects ASCII digits, i.e. <tt>'0'</tt>..<tt>'9'</tt>.
isDigit :: Char -> Bool

-- | Selects ASCII octal digits, i.e. <tt>'0'</tt>..<tt>'7'</tt>.
isOctDigit :: Char -> Bool

-- | Selects ASCII hexadecimal digits, i.e. <tt>'0'</tt>..<tt>'9'</tt>,
--   <tt>'a'</tt>..<tt>'f'</tt>, <tt>'A'</tt>..<tt>'F'</tt>.
isHexDigit :: Char -> Bool

-- | Selects alphabetic Unicode characters (lower-case, upper-case and
--   title-case letters, plus letters of caseless scripts and modifiers
--   letters). This function is equivalent to <a>isAlpha</a>.
isLetter :: Char -> Bool

-- | Selects Unicode mark characters, e.g. accents and the like, which
--   combine with preceding letters.
isMark :: Char -> Bool

-- | Selects Unicode numeric characters, including digits from various
--   scripts, Roman numerals, etc.
isNumber :: Char -> Bool

-- | Selects Unicode punctuation characters, including various kinds of
--   connectors, brackets and quotes.
isPunctuation :: Char -> Bool

-- | Selects Unicode symbol characters, including mathematical and currency
--   symbols.
isSymbol :: Char -> Bool

-- | Selects Unicode space and separator characters.
isSeparator :: Char -> Bool

-- | Selects the first 128 characters of the Unicode character set,
--   corresponding to the ASCII character set.
isAscii :: Char -> Bool

-- | Selects the first 256 characters of the Unicode character set,
--   corresponding to the ISO 8859-1 (Latin-1) character set.
isLatin1 :: Char -> Bool

-- | Selects ASCII upper-case letters, i.e. characters satisfying both
--   <a>isAscii</a> and <a>isUpper</a>.
isAsciiUpper :: Char -> Bool

-- | Selects ASCII lower-case letters, i.e. characters satisfying both
--   <a>isAscii</a> and <a>isLower</a>.
isAsciiLower :: Char -> Bool

-- | Unicode General Categories (column 2 of the UnicodeData table) in the
--   order they are listed in the Unicode standard.
data GeneralCategory :: *

-- | Lu: Letter, Uppercase
UppercaseLetter :: GeneralCategory

-- | Ll: Letter, Lowercase
LowercaseLetter :: GeneralCategory

-- | Lt: Letter, Titlecase
TitlecaseLetter :: GeneralCategory

-- | Lm: Letter, Modifier
ModifierLetter :: GeneralCategory

-- | Lo: Letter, Other
OtherLetter :: GeneralCategory

-- | Mn: Mark, Non-Spacing
NonSpacingMark :: GeneralCategory

-- | Mc: Mark, Spacing Combining
SpacingCombiningMark :: GeneralCategory

-- | Me: Mark, Enclosing
EnclosingMark :: GeneralCategory

-- | Nd: Number, Decimal
DecimalNumber :: GeneralCategory

-- | Nl: Number, Letter
LetterNumber :: GeneralCategory

-- | No: Number, Other
OtherNumber :: GeneralCategory

-- | Pc: Punctuation, Connector
ConnectorPunctuation :: GeneralCategory

-- | Pd: Punctuation, Dash
DashPunctuation :: GeneralCategory

-- | Ps: Punctuation, Open
OpenPunctuation :: GeneralCategory

-- | Pe: Punctuation, Close
ClosePunctuation :: GeneralCategory

-- | Pi: Punctuation, Initial quote
InitialQuote :: GeneralCategory

-- | Pf: Punctuation, Final quote
FinalQuote :: GeneralCategory

-- | Po: Punctuation, Other
OtherPunctuation :: GeneralCategory

-- | Sm: Symbol, Math
MathSymbol :: GeneralCategory

-- | Sc: Symbol, Currency
CurrencySymbol :: GeneralCategory

-- | Sk: Symbol, Modifier
ModifierSymbol :: GeneralCategory

-- | So: Symbol, Other
OtherSymbol :: GeneralCategory

-- | Zs: Separator, Space
Space :: GeneralCategory

-- | Zl: Separator, Line
LineSeparator :: GeneralCategory

-- | Zp: Separator, Paragraph
ParagraphSeparator :: GeneralCategory

-- | Cc: Other, Control
Control :: GeneralCategory

-- | Cf: Other, Format
Format :: GeneralCategory

-- | Cs: Other, Surrogate
Surrogate :: GeneralCategory

-- | Co: Other, Private Use
PrivateUse :: GeneralCategory

-- | Cn: Other, Not Assigned
NotAssigned :: GeneralCategory

-- | The Unicode general category of the character.
generalCategory :: Char -> GeneralCategory

-- | Convert a letter to the corresponding upper-case letter, if any. Any
--   other character is returned unchanged.
toUpper :: Char -> Char

-- | Convert a letter to the corresponding lower-case letter, if any. Any
--   other character is returned unchanged.
toLower :: Char -> Char

-- | Convert a letter to the corresponding title-case or upper-case letter,
--   if any. (Title case differs from upper case only for a small number of
--   ligature letters.) Any other character is returned unchanged.
toTitle :: Char -> Char

-- | Convert a single digit <a>Char</a> to the corresponding <a>Int</a>.
--   This function fails unless its argument satisfies <a>isHexDigit</a>,
--   but recognises both upper and lower-case hexadecimal digits (i.e.
--   <tt>'0'</tt>..<tt>'9'</tt>, <tt>'a'</tt>..<tt>'f'</tt>,
--   <tt>'A'</tt>..<tt>'F'</tt>).
digitToInt :: Char -> Int

-- | Convert an <a>Int</a> in the range <tt>0</tt>..<tt>15</tt> to the
--   corresponding single digit <a>Char</a>. This function fails on other
--   inputs, and generates lower-case hexadecimal digits.
intToDigit :: Int -> Char

-- | The <a>fromEnum</a> method restricted to the type <a>Char</a>.
ord :: Char -> Int

-- | The <a>toEnum</a> method restricted to the type <a>Char</a>.
chr :: Int -> Char

-- | Convert a character to a string using only printable characters, using
--   Haskell source-language escape conventions. For example:
--   
--   <pre>
--   showLitChar '\n' s  =  "\\n" ++ s
--   </pre>
showLitChar :: Char -> ShowS

-- | Read a string representation of a character, using Haskell
--   source-language escape conventions. For example:
--   
--   <pre>
--   lexLitChar  "\\nHello"  =  [("\\n", "Hello")]
--   </pre>
lexLitChar :: ReadS String

-- | Read a string representation of a character, using Haskell
--   source-language escape conventions, and convert it to the character
--   that it encodes. For example:
--   
--   <pre>
--   readLitChar "\\nHello"  =  [('\n', "Hello")]
--   </pre>
readLitChar :: ReadS Char

module Data.Int

-- | A fixed-precision integer type with at least the range <tt>[-2^29 ..
--   2^29-1]</tt>. The exact range for a given implementation can be
--   determined by using <a>minBound</a> and <a>maxBound</a> from the
--   <a>Bounded</a> class.
data Int :: *

-- | 8-bit signed integer type
data Int8 :: *

-- | 16-bit signed integer type
data Int16 :: *

-- | 32-bit signed integer type
data Int32 :: *

-- | 64-bit signed integer type
data Int64 :: *

module Data.Ratio

-- | Rational numbers, with numerator and denominator of some
--   <a>Integral</a> type.
data Ratio a :: * -> *

-- | Arbitrary-precision rational numbers, represented as a ratio of two
--   <a>Integer</a> values. A rational number may be constructed using the
--   <a>%</a> operator.
type Rational = Ratio Integer

-- | Forms the ratio of two integral numbers.
(%) :: Integral a => a -> a -> Ratio a

-- | Extract the numerator of the ratio in reduced form: the numerator and
--   denominator have no common factor and the denominator is positive.
numerator :: Integral a => Ratio a -> a

-- | Extract the denominator of the ratio in reduced form: the numerator
--   and denominator have no common factor and the denominator is positive.
denominator :: Integral a => Ratio a -> a

-- | <a>approxRational</a>, applied to two real fractional numbers
--   <tt>x</tt> and <tt>epsilon</tt>, returns the simplest rational number
--   within <tt>epsilon</tt> of <tt>x</tt>. A rational number <tt>y</tt> is
--   said to be <i>simpler</i> than another <tt>y'</tt> if
--   
--   <ul>
--   <li><tt><a>abs</a> (<a>numerator</a> y) &lt;= <a>abs</a>
--   (<a>numerator</a> y')</tt>, and</li>
--   <li><tt><a>denominator</a> y &lt;= <a>denominator</a> y'</tt>.</li>
--   </ul>
--   
--   Any real interval contains a unique simplest rational; in particular,
--   note that <tt>0/1</tt> is the simplest rational of all.
approxRational :: RealFrac a => a -> a -> Rational

module Data.Word

-- | A <a>Word</a> is an unsigned integral type, with the same size as
--   <a>Int</a>.
data Word :: *

-- | 8-bit unsigned integer type
data Word8 :: *

-- | 16-bit unsigned integer type
data Word16 :: *

-- | 32-bit unsigned integer type
data Word32 :: *

-- | 64-bit unsigned integer type
data Word64 :: *


-- | The module <a>Foreign.Ptr</a> provides typed pointers to foreign
--   entities. We distinguish two kinds of pointers: pointers to data and
--   pointers to functions. It is understood that these two kinds of
--   pointers may be represented differently as they may be references to
--   data and text segments, respectively.
module Foreign.Ptr

-- | A value of type <tt><a>Ptr</a> a</tt> represents a pointer to an
--   object, or an array of objects, which may be marshalled to or from
--   Haskell values of type <tt>a</tt>.
--   
--   The type <tt>a</tt> will often be an instance of class <a>Storable</a>
--   which provides the marshalling operations. However this is not
--   essential, and you can provide your own operations to access the
--   pointer. For example you might write small foreign functions to get or
--   set the fields of a C <tt>struct</tt>.
data Ptr a :: * -> *

-- | The constant <a>nullPtr</a> contains a distinguished value of
--   <a>Ptr</a> that is not associated with a valid memory location.
nullPtr :: Ptr a

-- | The <a>castPtr</a> function casts a pointer from one type to another.
castPtr :: Ptr a -> Ptr b

-- | Advances the given address by the given offset in bytes.
plusPtr :: Ptr a -> Int -> Ptr b

-- | Given an arbitrary address and an alignment constraint,
--   <a>alignPtr</a> yields the next higher address that fulfills the
--   alignment constraint. An alignment constraint <tt>x</tt> is fulfilled
--   by any address divisible by <tt>x</tt>. This operation is idempotent.
alignPtr :: Ptr a -> Int -> Ptr a

-- | Computes the offset required to get from the second to the first
--   argument. We have
--   
--   <pre>
--   p2 == p1 `plusPtr` (p2 `minusPtr` p1)
--   </pre>
minusPtr :: Ptr a -> Ptr b -> Int

-- | A value of type <tt><a>FunPtr</a> a</tt> is a pointer to a function
--   callable from foreign code. The type <tt>a</tt> will normally be a
--   <i>foreign type</i>, a function type with zero or more arguments where
--   
--   <ul>
--   <li>the argument types are <i>marshallable foreign types</i>, i.e.
--   <a>Char</a>, <a>Int</a>, <a>Double</a>, <a>Float</a>, <a>Bool</a>,
--   <a>Int8</a>, <a>Int16</a>, <a>Int32</a>, <a>Int64</a>, <a>Word8</a>,
--   <a>Word16</a>, <a>Word32</a>, <a>Word64</a>, <tt><a>Ptr</a> a</tt>,
--   <tt><a>FunPtr</a> a</tt>, <tt><a>StablePtr</a> a</tt> or a renaming of
--   any of these using <tt>newtype</tt>.</li>
--   <li>the return type is either a marshallable foreign type or has the
--   form <tt><a>IO</a> t</tt> where <tt>t</tt> is a marshallable foreign
--   type or <tt>()</tt>.</li>
--   </ul>
--   
--   A value of type <tt><a>FunPtr</a> a</tt> may be a pointer to a foreign
--   function, either returned by another foreign function or imported with
--   a a static address import like
--   
--   <pre>
--   foreign import ccall "stdlib.h &amp;free"
--     p_free :: FunPtr (Ptr a -&gt; IO ())
--   </pre>
--   
--   or a pointer to a Haskell function created using a <i>wrapper</i> stub
--   declared to produce a <a>FunPtr</a> of the correct type. For example:
--   
--   <pre>
--   type Compare = Int -&gt; Int -&gt; Bool
--   foreign import ccall "wrapper"
--     mkCompare :: Compare -&gt; IO (FunPtr Compare)
--   </pre>
--   
--   Calls to wrapper stubs like <tt>mkCompare</tt> allocate storage, which
--   should be released with <a>freeHaskellFunPtr</a> when no longer
--   required.
--   
--   To convert <a>FunPtr</a> values to corresponding Haskell functions,
--   one can define a <i>dynamic</i> stub for the specific foreign type,
--   e.g.
--   
--   <pre>
--   type IntFunction = CInt -&gt; IO ()
--   foreign import ccall "dynamic" 
--     mkFun :: FunPtr IntFunction -&gt; IntFunction
--   </pre>
data FunPtr a :: * -> *

-- | The constant <a>nullFunPtr</a> contains a distinguished value of
--   <a>FunPtr</a> that is not associated with a valid memory location.
nullFunPtr :: FunPtr a

-- | Casts a <a>FunPtr</a> to a <a>FunPtr</a> of a different type.
castFunPtr :: FunPtr a -> FunPtr b

-- | Casts a <a>FunPtr</a> to a <a>Ptr</a>.
--   
--   <i>Note:</i> this is valid only on architectures where data and
--   function pointers range over the same set of addresses, and should
--   only be used for bindings to external libraries whose interface
--   already relies on this assumption.
castFunPtrToPtr :: FunPtr a -> Ptr b

-- | Casts a <a>Ptr</a> to a <a>FunPtr</a>.
--   
--   <i>Note:</i> this is valid only on architectures where data and
--   function pointers range over the same set of addresses, and should
--   only be used for bindings to external libraries whose interface
--   already relies on this assumption.
castPtrToFunPtr :: Ptr a -> FunPtr b

-- | Release the storage associated with the given <a>FunPtr</a>, which
--   must have been obtained from a wrapper stub. This should be called
--   whenever the return value from a foreign import wrapper function is no
--   longer required; otherwise, the storage it uses will leak.
freeHaskellFunPtr :: FunPtr a -> IO ()

-- | A signed integral type that can be losslessly converted to and from
--   <tt>Ptr</tt>. This type is also compatible with the C99 type
--   <tt>intptr_t</tt>, and can be marshalled to and from that type safely.
data IntPtr :: *

-- | casts a <tt>Ptr</tt> to an <tt>IntPtr</tt>
ptrToIntPtr :: Ptr a -> IntPtr

-- | casts an <tt>IntPtr</tt> to a <tt>Ptr</tt>
intPtrToPtr :: IntPtr -> Ptr a

-- | An unsigned integral type that can be losslessly converted to and from
--   <tt>Ptr</tt>. This type is also compatible with the C99 type
--   <tt>uintptr_t</tt>, and can be marshalled to and from that type
--   safely.
data WordPtr :: *

-- | casts a <tt>Ptr</tt> to a <tt>WordPtr</tt>
ptrToWordPtr :: Ptr a -> WordPtr

-- | casts a <tt>WordPtr</tt> to a <tt>Ptr</tt>
wordPtrToPtr :: WordPtr -> Ptr a

module Data.Maybe

-- | The <a>Maybe</a> type encapsulates an optional value. A value of type
--   <tt><a>Maybe</a> a</tt> either contains a value of type <tt>a</tt>
--   (represented as <tt><a>Just</a> a</tt>), or it is empty (represented
--   as <a>Nothing</a>). Using <a>Maybe</a> is a good way to deal with
--   errors or exceptional cases without resorting to drastic measures such
--   as <a>error</a>.
--   
--   The <a>Maybe</a> type is also a monad. It is a simple kind of error
--   monad, where all errors are represented by <a>Nothing</a>. A richer
--   error monad can be built using the <a>Either</a> type.
data Maybe a :: * -> *
Nothing :: Maybe a
Just :: a -> Maybe a

-- | The <a>maybe</a> function takes a default value, a function, and a
--   <a>Maybe</a> value. If the <a>Maybe</a> value is <a>Nothing</a>, the
--   function returns the default value. Otherwise, it applies the function
--   to the value inside the <a>Just</a> and returns the result.
maybe :: b -> (a -> b) -> Maybe a -> b

-- | The <a>isJust</a> function returns <a>True</a> iff its argument is of
--   the form <tt>Just _</tt>.
isJust :: Maybe a -> Bool

-- | The <a>isNothing</a> function returns <a>True</a> iff its argument is
--   <a>Nothing</a>.
isNothing :: Maybe a -> Bool

-- | The <a>fromJust</a> function extracts the element out of a <a>Just</a>
--   and throws an error if its argument is <a>Nothing</a>.
fromJust :: Maybe a -> a

-- | The <a>fromMaybe</a> function takes a default value and and
--   <a>Maybe</a> value. If the <a>Maybe</a> is <a>Nothing</a>, it returns
--   the default values; otherwise, it returns the value contained in the
--   <a>Maybe</a>.
fromMaybe :: a -> Maybe a -> a

-- | The <a>listToMaybe</a> function returns <a>Nothing</a> on an empty
--   list or <tt><a>Just</a> a</tt> where <tt>a</tt> is the first element
--   of the list.
listToMaybe :: [a] -> Maybe a

-- | The <a>maybeToList</a> function returns an empty list when given
--   <a>Nothing</a> or a singleton list when not given <a>Nothing</a>.
maybeToList :: Maybe a -> [a]

-- | The <a>catMaybes</a> function takes a list of <a>Maybe</a>s and
--   returns a list of all the <a>Just</a> values.
catMaybes :: [Maybe a] -> [a]

-- | The <a>mapMaybe</a> function is a version of <a>map</a> which can
--   throw out elements. In particular, the functional argument returns
--   something of type <tt><a>Maybe</a> b</tt>. If this is <a>Nothing</a>,
--   no element is added on to the result list. If it just <tt><a>Just</a>
--   b</tt>, then <tt>b</tt> is included in the result list.
mapMaybe :: (a -> Maybe b) -> [a] -> [b]

module Numeric

-- | Converts a possibly-negative <a>Real</a> value to a string.
showSigned :: Real a => (a -> ShowS) -> Int -> a -> ShowS

-- | Shows a <i>non-negative</i> <a>Integral</a> number using the base
--   specified by the first argument, and the character representation
--   specified by the second.
showIntAtBase :: (Integral a, Show a) => a -> (Int -> Char) -> a -> ShowS

-- | Show <i>non-negative</i> <a>Integral</a> numbers in base 10.
showInt :: Integral a => a -> ShowS

-- | Show <i>non-negative</i> <a>Integral</a> numbers in base 16.
showHex :: (Integral a, Show a) => a -> ShowS

-- | Show <i>non-negative</i> <a>Integral</a> numbers in base 8.
showOct :: (Integral a, Show a) => a -> ShowS

-- | Show a signed <a>RealFloat</a> value using scientific (exponential)
--   notation (e.g. <tt>2.45e2</tt>, <tt>1.5e-3</tt>).
--   
--   In the call <tt><a>showEFloat</a> digs val</tt>, if <tt>digs</tt> is
--   <a>Nothing</a>, the value is shown to full precision; if <tt>digs</tt>
--   is <tt><a>Just</a> d</tt>, then at most <tt>d</tt> digits after the
--   decimal point are shown.
showEFloat :: RealFloat a => Maybe Int -> a -> ShowS

-- | Show a signed <a>RealFloat</a> value using standard decimal notation
--   (e.g. <tt>245000</tt>, <tt>0.0015</tt>).
--   
--   In the call <tt><a>showFFloat</a> digs val</tt>, if <tt>digs</tt> is
--   <a>Nothing</a>, the value is shown to full precision; if <tt>digs</tt>
--   is <tt><a>Just</a> d</tt>, then at most <tt>d</tt> digits after the
--   decimal point are shown.
showFFloat :: RealFloat a => Maybe Int -> a -> ShowS

-- | Show a signed <a>RealFloat</a> value using standard decimal notation
--   for arguments whose absolute value lies between <tt>0.1</tt> and
--   <tt>9,999,999</tt>, and scientific notation otherwise.
--   
--   In the call <tt><a>showGFloat</a> digs val</tt>, if <tt>digs</tt> is
--   <a>Nothing</a>, the value is shown to full precision; if <tt>digs</tt>
--   is <tt><a>Just</a> d</tt>, then at most <tt>d</tt> digits after the
--   decimal point are shown.
showGFloat :: RealFloat a => Maybe Int -> a -> ShowS

-- | Show a signed <a>RealFloat</a> value to full precision using standard
--   decimal notation for arguments whose absolute value lies between
--   <tt>0.1</tt> and <tt>9,999,999</tt>, and scientific notation
--   otherwise.
showFloat :: RealFloat a => a -> ShowS

-- | <a>floatToDigits</a> takes a base and a non-negative <a>RealFloat</a>
--   number, and returns a list of digits and an exponent. In particular,
--   if <tt>x&gt;=0</tt>, and
--   
--   <pre>
--   floatToDigits base x = ([d1,d2,...,dn], e)
--   </pre>
--   
--   then
--   
--   <ol>
--   <li><pre>n &gt;= 1</pre></li>
--   <li><pre>x = 0.d1d2...dn * (base**e)</pre></li>
--   <li><pre>0 &lt;= di &lt;= base-1</pre></li>
--   </ol>
floatToDigits :: RealFloat a => Integer -> a -> ([Int], Int)

-- | Reads a <i>signed</i> <a>Real</a> value, given a reader for an
--   unsigned value.
readSigned :: Real a => ReadS a -> ReadS a

-- | Reads an <i>unsigned</i> <a>Integral</a> value in an arbitrary base.
readInt :: Num a => a -> (Char -> Bool) -> (Char -> Int) -> ReadS a

-- | Read an unsigned number in decimal notation.
readDec :: (Eq a, Num a) => ReadS a

-- | Read an unsigned number in octal notation.
readOct :: (Eq a, Num a) => ReadS a

-- | Read an unsigned number in hexadecimal notation. Both upper or lower
--   case letters are allowed.
readHex :: (Eq a, Num a) => ReadS a

-- | Reads an <i>unsigned</i> <a>RealFrac</a> value, expressed in decimal
--   scientific notation.
readFloat :: RealFrac a => ReadS a

-- | Reads a non-empty string of decimal digits.
lexDigits :: ReadS String

-- | Converts a <a>Rational</a> value into any type in class
--   <a>RealFloat</a>.
fromRat :: RealFloat a => Rational -> a

module System.IO.Error

-- | Errors of type <a>IOError</a> are used by the <a>IO</a> monad. This is
--   an abstract type; the module <a>System.IO.Error</a> provides functions
--   to interrogate and construct values of type <a>IOError</a>.
type IOError = IOError

-- | Construct an <a>IOError</a> value with a string describing the error.
--   The <a>fail</a> method of the <a>IO</a> instance of the <a>Monad</a>
--   class raises a <a>userError</a>, thus:
--   
--   <pre>
--   instance Monad IO where 
--     ...
--     fail s = ioError (userError s)
--   </pre>
userError :: String -> IOError

-- | Construct an <a>IOError</a> of the given type where the second
--   argument describes the error location and the third and fourth
--   argument contain the file handle and file path of the file involved in
--   the error if applicable.
mkIOError :: IOErrorType -> String -> Maybe Handle -> Maybe FilePath -> IOError

-- | Adds a location description and maybe a file path and file handle to
--   an <a>IOError</a>. If any of the file handle or file path is not given
--   the corresponding value in the <a>IOError</a> remains unaltered.
annotateIOError :: IOError -> String -> Maybe Handle -> Maybe FilePath -> IOError

-- | An error indicating that an <a>IO</a> operation failed because one of
--   its arguments already exists.
isAlreadyExistsError :: IOError -> Bool

-- | An error indicating that an <a>IO</a> operation failed because one of
--   its arguments does not exist.
isDoesNotExistError :: IOError -> Bool

-- | An error indicating that an <a>IO</a> operation failed because one of
--   its arguments is a single-use resource, which is already being used
--   (for example, opening the same file twice for writing might give this
--   error).
isAlreadyInUseError :: IOError -> Bool

-- | An error indicating that an <a>IO</a> operation failed because the
--   device is full.
isFullError :: IOError -> Bool

-- | An error indicating that an <a>IO</a> operation failed because the end
--   of file has been reached.
isEOFError :: IOError -> Bool

-- | An error indicating that an <a>IO</a> operation failed because the
--   operation was not possible. Any computation which returns an <a>IO</a>
--   result may fail with <a>isIllegalOperation</a>. In some cases, an
--   implementation will not be able to distinguish between the possible
--   error causes. In this case it should fail with
--   <a>isIllegalOperation</a>.
isIllegalOperation :: IOError -> Bool

-- | An error indicating that an <a>IO</a> operation failed because the
--   user does not have sufficient operating system privilege to perform
--   that operation.
isPermissionError :: IOError -> Bool

-- | A programmer-defined error value constructed using <a>userError</a>.
isUserError :: IOError -> Bool
ioeGetErrorString :: IOError -> String
ioeGetHandle :: IOError -> Maybe Handle
ioeGetFileName :: IOError -> Maybe FilePath

-- | An abstract type that contains a value for each variant of
--   <a>IOError</a>.
data IOErrorType :: *

-- | I/O error where the operation failed because one of its arguments
--   already exists.
alreadyExistsErrorType :: IOErrorType

-- | I/O error where the operation failed because one of its arguments does
--   not exist.
doesNotExistErrorType :: IOErrorType

-- | I/O error where the operation failed because one of its arguments is a
--   single-use resource, which is already being used.
alreadyInUseErrorType :: IOErrorType

-- | I/O error where the operation failed because the device is full.
fullErrorType :: IOErrorType

-- | I/O error where the operation failed because the end of file has been
--   reached.
eofErrorType :: IOErrorType

-- | I/O error where the operation is not possible.
illegalOperationErrorType :: IOErrorType

-- | I/O error where the operation failed because the user does not have
--   sufficient operating system privilege to perform that operation.
permissionErrorType :: IOErrorType

-- | I/O error that is programmer-defined.
userErrorType :: IOErrorType

-- | Raise an <a>IOError</a> in the <a>IO</a> monad.
ioError :: IOError -> IO a

-- | The <a>catch</a> function establishes a handler that receives any
--   <a>IOError</a> raised in the action protected by <a>catch</a>. An
--   <a>IOError</a> is caught by the most recent handler established by
--   <a>catch</a>. These handlers are not selective: all <a>IOError</a>s
--   are caught. Exception propagation must be explicitly provided in a
--   handler by re-raising any unwanted exceptions. For example, in
--   
--   <pre>
--   f = catch g (\e -&gt; if IO.isEOFError e then return [] else ioError e)
--   </pre>
--   
--   the function <tt>f</tt> returns <tt>[]</tt> when an end-of-file
--   exception (cf. <a>isEOFError</a>) occurs in <tt>g</tt>; otherwise, the
--   exception is propagated to the next outer handler.
--   
--   When an exception propagates outside the main program, the Haskell
--   system prints the associated <a>IOError</a> value and exits the
--   program.
catch :: IO a -> (IOError -> IO a) -> IO a

-- | The construct <a>try</a> <tt>comp</tt> exposes IO errors which occur
--   within a computation, and which are not fully handled.
try :: IO a -> IO (Either IOError a)


-- | This module defines bitwise operations for signed and unsigned
--   integers.
module Data.Bits

-- | The <a>Bits</a> class defines bitwise operations over integral types.
--   
--   <ul>
--   <li>Bits are numbered from 0 with bit 0 being the least significant
--   bit.</li>
--   </ul>
--   
--   Minimal complete definition: <a>.&amp;.</a>, <a>.|.</a>, <a>xor</a>,
--   <a>complement</a>, (<a>shift</a> or (<a>shiftL</a> and
--   <a>shiftR</a>)), (<a>rotate</a> or (<a>rotateL</a> and
--   <a>rotateR</a>)), <a>bitSize</a> and <a>isSigned</a>.
class (Eq a, Num a) => Bits a
(.&.) :: Bits a => a -> a -> a
(.|.) :: Bits a => a -> a -> a
xor :: Bits a => a -> a -> a
complement :: Bits a => a -> a
shift :: Bits a => a -> Int -> a
rotate :: Bits a => a -> Int -> a
bit :: Bits a => Int -> a
setBit :: Bits a => a -> Int -> a
clearBit :: Bits a => a -> Int -> a
complementBit :: Bits a => a -> Int -> a
testBit :: Bits a => a -> Int -> Bool
bitSize :: Bits a => a -> Int
isSigned :: Bits a => a -> Bool
shiftL :: Bits a => a -> Int -> a
shiftR :: Bits a => a -> Int -> a
rotateL :: Bits a => a -> Int -> a
rotateR :: Bits a => a -> Int -> a

module Foreign.Storable

-- | The member functions of this class facilitate writing values of
--   primitive types to raw memory (which may have been allocated with the
--   above mentioned routines) and reading values from blocks of raw
--   memory. The class, furthermore, includes support for computing the
--   storage requirements and alignment restrictions of storable types.
--   
--   Memory addresses are represented as values of type <tt><a>Ptr</a>
--   a</tt>, for some <tt>a</tt> which is an instance of class
--   <a>Storable</a>. The type argument to <a>Ptr</a> helps provide some
--   valuable type safety in FFI code (you can't mix pointers of different
--   types without an explicit cast), while helping the Haskell type system
--   figure out which marshalling method is needed for a given pointer.
--   
--   All marshalling between Haskell and a foreign language ultimately
--   boils down to translating Haskell data structures into the binary
--   representation of a corresponding data structure of the foreign
--   language and vice versa. To code this marshalling in Haskell, it is
--   necessary to manipulate primitive data types stored in unstructured
--   memory blocks. The class <a>Storable</a> facilitates this manipulation
--   on all types for which it is instantiated, which are the standard
--   basic types of Haskell, the fixed size <tt>Int</tt> types
--   (<a>Int8</a>, <a>Int16</a>, <a>Int32</a>, <a>Int64</a>), the fixed
--   size <tt>Word</tt> types (<a>Word8</a>, <a>Word16</a>, <a>Word32</a>,
--   <a>Word64</a>), <a>StablePtr</a>, all types from
--   <a>Foreign.C.Types</a>, as well as <a>Ptr</a>.
--   
--   Minimal complete definition: <a>sizeOf</a>, <a>alignment</a>, one of
--   <a>peek</a>, <a>peekElemOff</a> and <a>peekByteOff</a>, and one of
--   <a>poke</a>, <a>pokeElemOff</a> and <a>pokeByteOff</a>.
class Storable a
sizeOf :: Storable a => a -> Int
alignment :: Storable a => a -> Int
peekElemOff :: Storable a => Ptr a -> Int -> IO a
pokeElemOff :: Storable a => Ptr a -> Int -> a -> IO ()
peekByteOff :: Storable a => Ptr b -> Int -> IO a
pokeByteOff :: Storable a => Ptr b -> Int -> a -> IO ()
peek :: Storable a => Ptr a -> IO a
poke :: Storable a => Ptr a -> a -> IO ()

module Foreign.C.Types

-- | Haskell type representing the C <tt>char</tt> type.
data CChar :: *

-- | Haskell type representing the C <tt>signed char</tt> type.
data CSChar :: *

-- | Haskell type representing the C <tt>unsigned char</tt> type.
data CUChar :: *

-- | Haskell type representing the C <tt>short</tt> type.
data CShort :: *

-- | Haskell type representing the C <tt>unsigned short</tt> type.
data CUShort :: *

-- | Haskell type representing the C <tt>int</tt> type.
data CInt :: *

-- | Haskell type representing the C <tt>unsigned int</tt> type.
data CUInt :: *

-- | Haskell type representing the C <tt>long</tt> type.
data CLong :: *

-- | Haskell type representing the C <tt>unsigned long</tt> type.
data CULong :: *

-- | Haskell type representing the C <tt>ptrdiff_t</tt> type.
data CPtrdiff :: *

-- | Haskell type representing the C <tt>size_t</tt> type.
data CSize :: *

-- | Haskell type representing the C <tt>wchar_t</tt> type.
data CWchar :: *

-- | Haskell type representing the C <tt>sig_atomic_t</tt> type.
data CSigAtomic :: *

-- | Haskell type representing the C <tt>long long</tt> type.
data CLLong :: *

-- | Haskell type representing the C <tt>unsigned long long</tt> type.
data CULLong :: *
data CIntPtr :: *
data CUIntPtr :: *
data CIntMax :: *
data CUIntMax :: *

-- | Haskell type representing the C <tt>clock_t</tt> type.
data CClock :: *

-- | Haskell type representing the C <tt>time_t</tt> type.
data CTime :: *

-- | Haskell type representing the C <tt>float</tt> type.
data CFloat :: *

-- | Haskell type representing the C <tt>double</tt> type.
data CDouble :: *

-- | Haskell type representing the C <tt>FILE</tt> type.
data CFile :: *

-- | Haskell type representing the C <tt>fpos_t</tt> type.
data CFpos :: *

-- | Haskell type representing the C <tt>jmp_buf</tt> type.
data CJmpBuf :: *

module System.Exit

-- | Defines the exit codes that a program can return.
data ExitCode :: *

-- | indicates successful termination;
ExitSuccess :: ExitCode

-- | indicates program failure with an exit code. The exact interpretation
--   of the code is operating-system dependent. In particular, some values
--   may be prohibited (e.g. 0 on a POSIX-compliant system).
ExitFailure :: Int -> ExitCode

-- | Computation <tt><a>exitWith</a> code</tt> terminates the program,
--   returning <tt>code</tt> to the program's caller. The caller may
--   interpret the return code as it wishes, but the program should return
--   <a>ExitSuccess</a> to mean normal completion, and
--   <tt><a>ExitFailure</a> n</tt> to mean that the program encountered a
--   problem from which it could not recover. The value <a>exitFailure</a>
--   is equal to <tt><a>exitWith</a> (<a>ExitFailure</a> exitfail)</tt>,
--   where <tt>exitfail</tt> is implementation-dependent. <a>exitWith</a>
--   bypasses the error handling in the I/O monad and cannot be intercepted
--   by <a>catch</a> from the <tt>Prelude</tt>.
exitWith :: ExitCode -> IO a

-- | The computation <a>exitFailure</a> is equivalent to <a>exitWith</a>
--   <tt>(</tt><a>ExitFailure</a> <i>exitfail</i><tt>)</tt>, where
--   <i>exitfail</i> is implementation-dependent.
exitFailure :: IO a

-- | The computation <a>exitSuccess</a> is equivalent to <a>exitWith</a>
--   <a>ExitSuccess</a>, It terminates the program successfully.
exitSuccess :: IO a


-- | The module <a>Foreign.Marshal.Alloc</a> provides operations to
--   allocate and deallocate blocks of raw memory (i.e., unstructured
--   chunks of memory outside of the area maintained by the Haskell storage
--   manager). These memory blocks are commonly used to pass compound data
--   structures to foreign functions or to provide space in which compound
--   result values are obtained from foreign functions.
--   
--   If any of the allocation functions fails, a value of <tt>nullPtr</tt>
--   is produced. If <a>free</a> or <a>reallocBytes</a> is applied to a
--   memory area that has been allocated with <a>alloca</a> or
--   <a>allocaBytes</a>, the behaviour is undefined. Any further access to
--   memory areas allocated with <a>alloca</a> or <a>allocaBytes</a>, after
--   the computation that was passed to the allocation function has
--   terminated, leads to undefined behaviour. Any further access to the
--   memory area referenced by a pointer passed to <a>realloc</a>,
--   <a>reallocBytes</a>, or <a>free</a> entails undefined behaviour.
--   
--   All storage allocated by functions that allocate based on a <i>size in
--   bytes</i> must be sufficiently aligned for any of the basic foreign
--   types that fits into the newly allocated storage. All storage
--   allocated by functions that allocate based on a specific type must be
--   sufficiently aligned for that type. Array allocation routines need to
--   obey the same alignment constraints for each array element.
module Foreign.Marshal.Alloc

-- | <tt><a>alloca</a> f</tt> executes the computation <tt>f</tt>, passing
--   as argument a pointer to a temporarily allocated block of memory
--   sufficient to hold values of type <tt>a</tt>.
--   
--   The memory is freed when <tt>f</tt> terminates (either normally or via
--   an exception), so the pointer passed to <tt>f</tt> must <i>not</i> be
--   used after this.
alloca :: Storable a => (Ptr a -> IO b) -> IO b

-- | <tt><a>allocaBytes</a> n f</tt> executes the computation <tt>f</tt>,
--   passing as argument a pointer to a temporarily allocated block of
--   memory of <tt>n</tt> bytes. The block of memory is sufficiently
--   aligned for any of the basic foreign types that fits into a memory
--   block of the allocated size.
--   
--   The memory is freed when <tt>f</tt> terminates (either normally or via
--   an exception), so the pointer passed to <tt>f</tt> must <i>not</i> be
--   used after this.
allocaBytes :: Int -> (Ptr a -> IO b) -> IO b

-- | Allocate a block of memory that is sufficient to hold values of type
--   <tt>a</tt>. The size of the area allocated is determined by the
--   <a>sizeOf</a> method from the instance of <a>Storable</a> for the
--   appropriate type.
--   
--   The memory may be deallocated using <a>free</a> or
--   <a>finalizerFree</a> when no longer required.
malloc :: Storable a => IO (Ptr a)

-- | Allocate a block of memory of the given number of bytes. The block of
--   memory is sufficiently aligned for any of the basic foreign types that
--   fits into a memory block of the allocated size.
--   
--   The memory may be deallocated using <a>free</a> or
--   <a>finalizerFree</a> when no longer required.
mallocBytes :: Int -> IO (Ptr a)

-- | Resize a memory area that was allocated with <a>malloc</a> or
--   <a>mallocBytes</a> to the size needed to store values of type
--   <tt>b</tt>. The returned pointer may refer to an entirely different
--   memory area, but will be suitably aligned to hold values of type
--   <tt>b</tt>. The contents of the referenced memory area will be the
--   same as of the original pointer up to the minimum of the original size
--   and the size of values of type <tt>b</tt>.
--   
--   If the argument to <a>realloc</a> is <a>nullPtr</a>, <a>realloc</a>
--   behaves like <a>malloc</a>.
realloc :: Storable b => Ptr a -> IO (Ptr b)

-- | Resize a memory area that was allocated with <a>malloc</a> or
--   <a>mallocBytes</a> to the given size. The returned pointer may refer
--   to an entirely different memory area, but will be sufficiently aligned
--   for any of the basic foreign types that fits into a memory block of
--   the given size. The contents of the referenced memory area will be the
--   same as of the original pointer up to the minimum of the original size
--   and the given size.
--   
--   If the pointer argument to <a>reallocBytes</a> is <a>nullPtr</a>,
--   <a>reallocBytes</a> behaves like <a>malloc</a>. If the requested size
--   is 0, <a>reallocBytes</a> behaves like <a>free</a>.
reallocBytes :: Ptr a -> Int -> IO (Ptr a)

-- | Free a block of memory that was allocated with <a>malloc</a>,
--   <a>mallocBytes</a>, <a>realloc</a>, <a>reallocBytes</a>, <a>new</a> or
--   any of the <tt>new</tt><i>X</i> functions in
--   <a>Foreign.Marshal.Array</a> or <a>Foreign.C.String</a>.
free :: Ptr a -> IO ()

-- | A pointer to a foreign function equivalent to <a>free</a>, which may
--   be used as a finalizer (cf <a>ForeignPtr</a>) for storage allocated
--   with <a>malloc</a>, <a>mallocBytes</a>, <a>realloc</a> or
--   <a>reallocBytes</a>.
finalizerFree :: FinalizerPtr a

module Foreign.Marshal.Error

-- | Execute an <a>IO</a> action, throwing a <a>userError</a> if the
--   predicate yields <a>True</a> when applied to the result returned by
--   the <a>IO</a> action. If no exception is raised, return the result of
--   the computation.
throwIf :: (a -> Bool) -> (a -> String) -> IO a -> IO a

-- | Like <a>throwIf</a>, but discarding the result
throwIf_ :: (a -> Bool) -> (a -> String) -> IO a -> IO ()

-- | Guards against negative result values
throwIfNeg :: (Ord a, Num a) => (a -> String) -> IO a -> IO a

-- | Like <a>throwIfNeg</a>, but discarding the result
throwIfNeg_ :: (Ord a, Num a) => (a -> String) -> IO a -> IO ()

-- | Guards against null pointers
throwIfNull :: String -> IO (Ptr a) -> IO (Ptr a)

-- | Discard the return value of an <a>IO</a> action
void :: IO a -> IO ()

module Foreign.Marshal.Utils

-- | <tt><a>with</a> val f</tt> executes the computation <tt>f</tt>,
--   passing as argument a pointer to a temporarily allocated block of
--   memory into which <tt>val</tt> has been marshalled (the combination of
--   <a>alloca</a> and <a>poke</a>).
--   
--   The memory is freed when <tt>f</tt> terminates (either normally or via
--   an exception), so the pointer passed to <tt>f</tt> must <i>not</i> be
--   used after this.
with :: Storable a => a -> (Ptr a -> IO b) -> IO b

-- | Allocate a block of memory and marshal a value into it (the
--   combination of <a>malloc</a> and <a>poke</a>). The size of the area
--   allocated is determined by the <a>sizeOf</a> method from the instance
--   of <a>Storable</a> for the appropriate type.
--   
--   The memory may be deallocated using <a>free</a> or
--   <a>finalizerFree</a> when no longer required.
new :: Storable a => a -> IO (Ptr a)

-- | Convert a Haskell <a>Bool</a> to its numeric representation
fromBool :: Num a => Bool -> a

-- | Convert a Boolean in numeric representation to a Haskell value
toBool :: (Eq a, Num a) => a -> Bool

-- | Allocate storage and marshal a storable value wrapped into a
--   <a>Maybe</a>
--   
--   <ul>
--   <li>the <a>nullPtr</a> is used to represent <a>Nothing</a></li>
--   </ul>
maybeNew :: (a -> IO (Ptr b)) -> Maybe a -> IO (Ptr b)

-- | Converts a <tt>withXXX</tt> combinator into one marshalling a value
--   wrapped into a <a>Maybe</a>, using <a>nullPtr</a> to represent
--   <a>Nothing</a>.
maybeWith :: (a -> (Ptr b -> IO c) -> IO c) -> Maybe a -> (Ptr b -> IO c) -> IO c

-- | Convert a peek combinator into a one returning <a>Nothing</a> if
--   applied to a <a>nullPtr</a>
maybePeek :: (Ptr a -> IO b) -> Ptr a -> IO (Maybe b)

-- | Replicates a <tt>withXXX</tt> combinator over a list of objects,
--   yielding a list of marshalled objects
withMany :: (a -> (b -> res) -> res) -> [a] -> ([b] -> res) -> res

-- | Copies the given number of bytes from the second area (source) into
--   the first (destination); the copied areas may <i>not</i> overlap
copyBytes :: Ptr a -> Ptr a -> Int -> IO ()

-- | Copies the given number of bytes from the second area (source) into
--   the first (destination); the copied areas <i>may</i> overlap
moveBytes :: Ptr a -> Ptr a -> Int -> IO ()


-- | The module <a>Foreign.Marshal.Array</a> provides operations for
--   marshalling Haskell lists into monolithic arrays and vice versa. Most
--   functions come in two flavours: one for arrays terminated by a special
--   termination element and one where an explicit length parameter is used
--   to determine the extent of an array. The typical example for the
--   former case are C's NUL terminated strings. However, please note that
--   C strings should usually be marshalled using the functions provided by
--   <a>Foreign.C.String</a> as the Unicode encoding has to be taken into
--   account. All functions specifically operating on arrays that are
--   terminated by a special termination element have a name ending on
--   <tt>0</tt>---e.g., <a>mallocArray</a> allocates space for an array of
--   the given size, whereas <a>mallocArray0</a> allocates space for one
--   more element to ensure that there is room for the terminator.
module Foreign.Marshal.Array

-- | Allocate storage for the given number of elements of a storable type
--   (like <a>malloc</a>, but for multiple elements).
mallocArray :: Storable a => Int -> IO (Ptr a)

-- | Like <a>mallocArray</a>, but add an extra position to hold a special
--   termination element.
mallocArray0 :: Storable a => Int -> IO (Ptr a)

-- | Temporarily allocate space for the given number of elements (like
--   <a>alloca</a>, but for multiple elements).
allocaArray :: Storable a => Int -> (Ptr a -> IO b) -> IO b

-- | Like <a>allocaArray</a>, but add an extra position to hold a special
--   termination element.
allocaArray0 :: Storable a => Int -> (Ptr a -> IO b) -> IO b

-- | Adjust the size of an array
reallocArray :: Storable a => Ptr a -> Int -> IO (Ptr a)

-- | Adjust the size of an array including an extra position for the end
--   marker.
reallocArray0 :: Storable a => Ptr a -> Int -> IO (Ptr a)

-- | Convert an array of given length into a Haskell list.
peekArray :: Storable a => Int -> Ptr a -> IO [a]

-- | Convert an array terminated by the given end marker into a Haskell
--   list
peekArray0 :: (Storable a, Eq a) => a -> Ptr a -> IO [a]

-- | Write the list elements consecutive into memory
pokeArray :: Storable a => Ptr a -> [a] -> IO ()

-- | Write the list elements consecutive into memory and terminate them
--   with the given marker element
pokeArray0 :: Storable a => a -> Ptr a -> [a] -> IO ()

-- | Write a list of storable elements into a newly allocated, consecutive
--   sequence of storable values (like <a>new</a>, but for multiple
--   elements).
newArray :: Storable a => [a] -> IO (Ptr a)

-- | Write a list of storable elements into a newly allocated, consecutive
--   sequence of storable values, where the end is fixed by the given end
--   marker
newArray0 :: Storable a => a -> [a] -> IO (Ptr a)

-- | Temporarily store a list of storable values in memory (like
--   <a>with</a>, but for multiple elements).
withArray :: Storable a => [a] -> (Ptr a -> IO b) -> IO b

-- | Like <a>withArray</a>, but a terminator indicates where the array ends
withArray0 :: Storable a => a -> [a] -> (Ptr a -> IO b) -> IO b

-- | Like <a>withArray</a>, but the action gets the number of values as an
--   additional parameter
withArrayLen :: Storable a => [a] -> (Int -> Ptr a -> IO b) -> IO b

-- | Like <a>withArrayLen</a>, but a terminator indicates where the array
--   ends
withArrayLen0 :: Storable a => a -> [a] -> (Int -> Ptr a -> IO b) -> IO b

-- | Copy the given number of elements from the second array (source) into
--   the first array (destination); the copied areas may <i>not</i> overlap
copyArray :: Storable a => Ptr a -> Ptr a -> Int -> IO ()

-- | Copy the given number of elements from the second array (source) into
--   the first array (destination); the copied areas <i>may</i> overlap
moveArray :: Storable a => Ptr a -> Ptr a -> Int -> IO ()

-- | Return the number of elements in an array, excluding the terminator
lengthArray0 :: (Storable a, Eq a) => a -> Ptr a -> IO Int

-- | Advance a pointer into an array by the given number of elements
advancePtr :: Storable a => Ptr a -> Int -> Ptr a


-- | Utilities for primitive marshalling of C strings.
--   
--   The marshalling converts each Haskell character, representing a
--   Unicode code point, to one or more bytes in a manner that, by default,
--   is determined by the current locale. As a consequence, no guarantees
--   can be made about the relative length of a Haskell string and its
--   corresponding C string, and therefore all the marshalling routines
--   include memory allocation. The translation between Unicode and the
--   encoding of the current locale may be lossy.
module Foreign.C.String

-- | A C string is a reference to an array of C characters terminated by
--   NUL.
type CString = Ptr CChar

-- | A string with explicit length information in bytes instead of a
--   terminating NUL (allowing NUL characters in the middle of the string).
type CStringLen = (Ptr CChar, Int)

-- | Marshal a NUL terminated C string into a Haskell string.
peekCString :: CString -> IO String

-- | Marshal a C string with explicit length into a Haskell string.
peekCStringLen :: CStringLen -> IO String

-- | Marshal a Haskell string into a NUL terminated C string.
--   
--   <ul>
--   <li>the Haskell string may <i>not</i> contain any NUL characters</li>
--   <li>new storage is allocated for the C string and must be explicitly
--   freed using <a>free</a> or <a>finalizerFree</a>.</li>
--   </ul>
newCString :: String -> IO CString

-- | Marshal a Haskell string into a C string (ie, character array) with
--   explicit length information.
--   
--   <ul>
--   <li>new storage is allocated for the C string and must be explicitly
--   freed using <a>free</a> or <a>finalizerFree</a>.</li>
--   </ul>
newCStringLen :: String -> IO CStringLen

-- | Marshal a Haskell string into a NUL terminated C string using
--   temporary storage.
--   
--   <ul>
--   <li>the Haskell string may <i>not</i> contain any NUL characters</li>
--   <li>the memory is freed when the subcomputation terminates (either
--   normally or via an exception), so the pointer to the temporary storage
--   must <i>not</i> be used after this.</li>
--   </ul>
withCString :: String -> (CString -> IO a) -> IO a

-- | Marshal a Haskell string into a C string (ie, character array) in
--   temporary storage, with explicit length information.
--   
--   <ul>
--   <li>the memory is freed when the subcomputation terminates (either
--   normally or via an exception), so the pointer to the temporary storage
--   must <i>not</i> be used after this.</li>
--   </ul>
withCStringLen :: String -> (CStringLen -> IO a) -> IO a
charIsRepresentable :: Char -> IO Bool

-- | Convert a Haskell character to a C character. This function is only
--   safe on the first 256 characters.
castCharToCChar :: Char -> CChar

-- | Convert a C byte, representing a Latin-1 character, to the
--   corresponding Haskell character.
castCCharToChar :: CChar -> Char

-- | Convert a Haskell character to a C <tt>unsigned char</tt>. This
--   function is only safe on the first 256 characters.
castCharToCUChar :: Char -> CUChar

-- | Convert a C <tt>unsigned char</tt>, representing a Latin-1 character,
--   to the corresponding Haskell character.
castCUCharToChar :: CUChar -> Char

-- | Convert a Haskell character to a C <tt>signed char</tt>. This function
--   is only safe on the first 256 characters.
castCharToCSChar :: Char -> CSChar

-- | Convert a C <tt>signed char</tt>, representing a Latin-1 character, to
--   the corresponding Haskell character.
castCSCharToChar :: CSChar -> Char

-- | Marshal a NUL terminated C string into a Haskell string.
peekCAString :: CString -> IO String

-- | Marshal a C string with explicit length into a Haskell string.
peekCAStringLen :: CStringLen -> IO String

-- | Marshal a Haskell string into a NUL terminated C string.
--   
--   <ul>
--   <li>the Haskell string may <i>not</i> contain any NUL characters</li>
--   <li>new storage is allocated for the C string and must be explicitly
--   freed using <a>free</a> or <a>finalizerFree</a>.</li>
--   </ul>
newCAString :: String -> IO CString

-- | Marshal a Haskell string into a C string (ie, character array) with
--   explicit length information.
--   
--   <ul>
--   <li>new storage is allocated for the C string and must be explicitly
--   freed using <a>free</a> or <a>finalizerFree</a>.</li>
--   </ul>
newCAStringLen :: String -> IO CStringLen

-- | Marshal a Haskell string into a NUL terminated C string using
--   temporary storage.
--   
--   <ul>
--   <li>the Haskell string may <i>not</i> contain any NUL characters</li>
--   <li>the memory is freed when the subcomputation terminates (either
--   normally or via an exception), so the pointer to the temporary storage
--   must <i>not</i> be used after this.</li>
--   </ul>
withCAString :: String -> (CString -> IO a) -> IO a

-- | Marshal a Haskell string into a C string (ie, character array) in
--   temporary storage, with explicit length information.
--   
--   <ul>
--   <li>the memory is freed when the subcomputation terminates (either
--   normally or via an exception), so the pointer to the temporary storage
--   must <i>not</i> be used after this.</li>
--   </ul>
withCAStringLen :: String -> (CStringLen -> IO a) -> IO a

-- | A C wide string is a reference to an array of C wide characters
--   terminated by NUL.
type CWString = Ptr CWchar

-- | A wide character string with explicit length information in
--   <a>CWchar</a>s instead of a terminating NUL (allowing NUL characters
--   in the middle of the string).
type CWStringLen = (Ptr CWchar, Int)

-- | Marshal a NUL terminated C wide string into a Haskell string.
peekCWString :: CWString -> IO String

-- | Marshal a C wide string with explicit length into a Haskell string.
peekCWStringLen :: CWStringLen -> IO String

-- | Marshal a Haskell string into a NUL terminated C wide string.
--   
--   <ul>
--   <li>the Haskell string may <i>not</i> contain any NUL characters</li>
--   <li>new storage is allocated for the C wide string and must be
--   explicitly freed using <a>free</a> or <a>finalizerFree</a>.</li>
--   </ul>
newCWString :: String -> IO CWString

-- | Marshal a Haskell string into a C wide string (ie, wide character
--   array) with explicit length information.
--   
--   <ul>
--   <li>new storage is allocated for the C wide string and must be
--   explicitly freed using <a>free</a> or <a>finalizerFree</a>.</li>
--   </ul>
newCWStringLen :: String -> IO CWStringLen

-- | Marshal a Haskell string into a NUL terminated C wide string using
--   temporary storage.
--   
--   <ul>
--   <li>the Haskell string may <i>not</i> contain any NUL characters</li>
--   <li>the memory is freed when the subcomputation terminates (either
--   normally or via an exception), so the pointer to the temporary storage
--   must <i>not</i> be used after this.</li>
--   </ul>
withCWString :: String -> (CWString -> IO a) -> IO a

-- | Marshal a Haskell string into a C wide string (i.e. wide character
--   array) in temporary storage, with explicit length information.
--   
--   <ul>
--   <li>the memory is freed when the subcomputation terminates (either
--   normally or via an exception), so the pointer to the temporary storage
--   must <i>not</i> be used after this.</li>
--   </ul>
withCWStringLen :: String -> (CWStringLen -> IO a) -> IO a


-- | The module <a>Foreign.C.Error</a> facilitates C-specific error
--   handling of <tt>errno</tt>.
module Foreign.C.Error

-- | Haskell representation for <tt>errno</tt> values. The implementation
--   is deliberately exposed, to allow users to add their own definitions
--   of <a>Errno</a> values.
newtype Errno :: *
Errno :: CInt -> Errno
eOK :: Errno
e2BIG :: Errno
eACCES :: Errno
eADDRINUSE :: Errno
eADDRNOTAVAIL :: Errno
eADV :: Errno
eAFNOSUPPORT :: Errno
eAGAIN :: Errno
eALREADY :: Errno
eBADF :: Errno
eBADMSG :: Errno
eBADRPC :: Errno
eBUSY :: Errno
eCHILD :: Errno
eCOMM :: Errno
eCONNABORTED :: Errno
eCONNREFUSED :: Errno
eCONNRESET :: Errno
eDEADLK :: Errno
eDESTADDRREQ :: Errno
eDIRTY :: Errno
eDOM :: Errno
eDQUOT :: Errno
eEXIST :: Errno
eFAULT :: Errno
eFBIG :: Errno
eFTYPE :: Errno
eHOSTDOWN :: Errno
eHOSTUNREACH :: Errno
eIDRM :: Errno
eILSEQ :: Errno
eINPROGRESS :: Errno
eINTR :: Errno
eINVAL :: Errno
eIO :: Errno
eISCONN :: Errno
eISDIR :: Errno
eLOOP :: Errno
eMFILE :: Errno
eMLINK :: Errno
eMSGSIZE :: Errno
eMULTIHOP :: Errno
eNAMETOOLONG :: Errno
eNETDOWN :: Errno
eNETRESET :: Errno
eNETUNREACH :: Errno
eNFILE :: Errno
eNOBUFS :: Errno
eNODATA :: Errno
eNODEV :: Errno
eNOENT :: Errno
eNOEXEC :: Errno
eNOLCK :: Errno
eNOLINK :: Errno
eNOMEM :: Errno
eNOMSG :: Errno
eNONET :: Errno
eNOPROTOOPT :: Errno
eNOSPC :: Errno
eNOSR :: Errno
eNOSTR :: Errno
eNOSYS :: Errno
eNOTBLK :: Errno
eNOTCONN :: Errno
eNOTDIR :: Errno
eNOTEMPTY :: Errno
eNOTSOCK :: Errno
eNOTTY :: Errno
eNXIO :: Errno
eOPNOTSUPP :: Errno
ePERM :: Errno
ePFNOSUPPORT :: Errno
ePIPE :: Errno
ePROCLIM :: Errno
ePROCUNAVAIL :: Errno
ePROGMISMATCH :: Errno
ePROGUNAVAIL :: Errno
ePROTO :: Errno
ePROTONOSUPPORT :: Errno
ePROTOTYPE :: Errno
eRANGE :: Errno
eREMCHG :: Errno
eREMOTE :: Errno
eROFS :: Errno
eRPCMISMATCH :: Errno
eRREMOTE :: Errno
eSHUTDOWN :: Errno
eSOCKTNOSUPPORT :: Errno
eSPIPE :: Errno
eSRCH :: Errno
eSRMNT :: Errno
eSTALE :: Errno
eTIME :: Errno
eTIMEDOUT :: Errno
eTOOMANYREFS :: Errno
eTXTBSY :: Errno
eUSERS :: Errno
eWOULDBLOCK :: Errno
eXDEV :: Errno

-- | Yield <a>True</a> if the given <a>Errno</a> value is valid on the
--   system. This implies that the <a>Eq</a> instance of <a>Errno</a> is
--   also system dependent as it is only defined for valid values of
--   <a>Errno</a>.
isValidErrno :: Errno -> Bool

-- | Get the current value of <tt>errno</tt> in the current thread.
getErrno :: IO Errno

-- | Reset the current thread's <tt>errno</tt> value to <a>eOK</a>.
resetErrno :: IO ()

-- | Construct an <a>IOError</a> based on the given <a>Errno</a> value. The
--   optional information can be used to improve the accuracy of error
--   messages.
errnoToIOError :: String -> Errno -> Maybe Handle -> Maybe String -> IOError

-- | Throw an <a>IOError</a> corresponding to the current value of
--   <a>getErrno</a>.
throwErrno :: String -> IO a

-- | Throw an <a>IOError</a> corresponding to the current value of
--   <a>getErrno</a> if the result value of the <a>IO</a> action meets the
--   given predicate.
throwErrnoIf :: (a -> Bool) -> String -> IO a -> IO a

-- | as <a>throwErrnoIf</a>, but discards the result of the <a>IO</a>
--   action after error handling.
throwErrnoIf_ :: (a -> Bool) -> String -> IO a -> IO ()

-- | as <a>throwErrnoIf</a>, but retry the <a>IO</a> action when it yields
--   the error code <a>eINTR</a> - this amounts to the standard retry loop
--   for interrupted POSIX system calls.
throwErrnoIfRetry :: (a -> Bool) -> String -> IO a -> IO a

-- | as <a>throwErrnoIfRetry</a>, but discards the result.
throwErrnoIfRetry_ :: (a -> Bool) -> String -> IO a -> IO ()

-- | Throw an <a>IOError</a> corresponding to the current value of
--   <a>getErrno</a> if the <a>IO</a> action returns a result of
--   <tt>-1</tt>.
throwErrnoIfMinus1 :: (Eq a, Num a) => String -> IO a -> IO a

-- | as <a>throwErrnoIfMinus1</a>, but discards the result.
throwErrnoIfMinus1_ :: (Eq a, Num a) => String -> IO a -> IO ()

-- | Throw an <a>IOError</a> corresponding to the current value of
--   <a>getErrno</a> if the <a>IO</a> action returns a result of
--   <tt>-1</tt>, but retries in case of an interrupted operation.
throwErrnoIfMinus1Retry :: (Eq a, Num a) => String -> IO a -> IO a

-- | as <a>throwErrnoIfMinus1</a>, but discards the result.
throwErrnoIfMinus1Retry_ :: (Eq a, Num a) => String -> IO a -> IO ()

-- | Throw an <a>IOError</a> corresponding to the current value of
--   <a>getErrno</a> if the <a>IO</a> action returns <a>nullPtr</a>.
throwErrnoIfNull :: String -> IO (Ptr a) -> IO (Ptr a)

-- | Throw an <a>IOError</a> corresponding to the current value of
--   <a>getErrno</a> if the <a>IO</a> action returns <a>nullPtr</a>, but
--   retry in case of an interrupted operation.
throwErrnoIfNullRetry :: String -> IO (Ptr a) -> IO (Ptr a)

-- | as <a>throwErrnoIfRetry</a>, but additionally if the operation yields
--   the error code <a>eAGAIN</a> or <a>eWOULDBLOCK</a>, an alternative
--   action is executed before retrying.
throwErrnoIfRetryMayBlock :: (a -> Bool) -> String -> IO a -> IO b -> IO a

-- | as <a>throwErrnoIfRetryMayBlock</a>, but discards the result.
throwErrnoIfRetryMayBlock_ :: (a -> Bool) -> String -> IO a -> IO b -> IO ()

-- | as <a>throwErrnoIfMinus1Retry</a>, but checks for operations that
--   would block.
throwErrnoIfMinus1RetryMayBlock :: (Eq a, Num a) => String -> IO a -> IO b -> IO a

-- | as <a>throwErrnoIfMinus1RetryMayBlock</a>, but discards the result.
throwErrnoIfMinus1RetryMayBlock_ :: (Eq a, Num a) => String -> IO a -> IO b -> IO ()

-- | as <a>throwErrnoIfNullRetry</a>, but checks for operations that would
--   block.
throwErrnoIfNullRetryMayBlock :: String -> IO (Ptr a) -> IO b -> IO (Ptr a)

-- | as <a>throwErrno</a>, but exceptions include the given path when
--   appropriate.
throwErrnoPath :: String -> FilePath -> IO a

-- | as <a>throwErrnoIf</a>, but exceptions include the given path when
--   appropriate.
throwErrnoPathIf :: (a -> Bool) -> String -> FilePath -> IO a -> IO a

-- | as <a>throwErrnoIf_</a>, but exceptions include the given path when
--   appropriate.
throwErrnoPathIf_ :: (a -> Bool) -> String -> FilePath -> IO a -> IO ()

-- | as <a>throwErrnoIfNull</a>, but exceptions include the given path when
--   appropriate.
throwErrnoPathIfNull :: String -> FilePath -> IO (Ptr a) -> IO (Ptr a)

-- | as <a>throwErrnoIfMinus1</a>, but exceptions include the given path
--   when appropriate.
throwErrnoPathIfMinus1 :: (Eq a, Num a) => String -> FilePath -> IO a -> IO a

-- | as <a>throwErrnoIfMinus1_</a>, but exceptions include the given path
--   when appropriate.
throwErrnoPathIfMinus1_ :: (Eq a, Num a) => String -> FilePath -> IO a -> IO ()

module Foreign.Marshal

-- | Sometimes an external entity is a pure function, except that it passes
--   arguments and/or results via pointers. The function
--   <tt>unsafeLocalState</tt> permits the packaging of such entities as
--   pure functions.
--   
--   The only IO operations allowed in the IO action passed to
--   <tt>unsafeLocalState</tt> are (a) local allocation (<tt>alloca</tt>,
--   <tt>allocaBytes</tt> and derived operations such as <tt>withArray</tt>
--   and <tt>withCString</tt>), and (b) pointer operations
--   (<tt>Foreign.Storable</tt> and <tt>Foreign.Ptr</tt>) on the pointers
--   to local storage, and (c) foreign functions whose only observable
--   effect is to read and/or write the locally allocated memory. Passing
--   an IO operation that does not obey these rules results in undefined
--   behaviour.
--   
--   It is expected that this operation will be replaced in a future
--   revision of Haskell.
unsafeLocalState :: IO a -> a

module Data.Complex

-- | Complex numbers are an algebraic type.
--   
--   For a complex number <tt>z</tt>, <tt><a>abs</a> z</tt> is a number
--   with the magnitude of <tt>z</tt>, but oriented in the positive real
--   direction, whereas <tt><a>signum</a> z</tt> has the phase of
--   <tt>z</tt>, but unit magnitude.
data Complex a :: * -> *

-- | forms a complex number from its real and imaginary rectangular
--   components.
(:+) :: !a -> !a -> Complex a

-- | Extracts the real part of a complex number.
realPart :: RealFloat a => Complex a -> a

-- | Extracts the imaginary part of a complex number.
imagPart :: RealFloat a => Complex a -> a

-- | Form a complex number from polar components of magnitude and phase.
mkPolar :: RealFloat a => a -> a -> Complex a

-- | <tt><a>cis</a> t</tt> is a complex value with magnitude <tt>1</tt> and
--   phase <tt>t</tt> (modulo <tt>2*<a>pi</a></tt>).
cis :: RealFloat a => a -> Complex a

-- | The function <a>polar</a> takes a complex number and returns a
--   (magnitude, phase) pair in canonical form: the magnitude is
--   nonnegative, and the phase in the range <tt>(-<a>pi</a>,
--   <a>pi</a>]</tt>; if the magnitude is zero, then so is the phase.
polar :: RealFloat a => Complex a -> (a, a)

-- | The nonnegative magnitude of a complex number.
magnitude :: RealFloat a => Complex a -> a

-- | The phase of a complex number, in the range <tt>(-<a>pi</a>,
--   <a>pi</a>]</tt>. If the magnitude is zero, then so is the phase.
phase :: RealFloat a => Complex a -> a

-- | The conjugate of a complex number.
conjugate :: RealFloat a => Complex a -> Complex a

module System.Environment

-- | Computation <a>getArgs</a> returns a list of the program's command
--   line arguments (not including the program name).
getArgs :: IO [String]

-- | Computation <a>getProgName</a> returns the name of the program as it
--   was invoked.
--   
--   However, this is hard-to-impossible to implement on some non-Unix
--   OSes, so instead, for maximum portability, we just return the leafname
--   of the program as invoked. Even then there are some differences
--   between platforms: on Windows, for example, a program invoked as foo
--   is probably really <tt>FOO.EXE</tt>, and that is what
--   <a>getProgName</a> will return.
getProgName :: IO String

-- | Computation <a>getEnv</a> <tt>var</tt> returns the value of the
--   environment variable <tt>var</tt>.
--   
--   This computation may fail with:
--   
--   <ul>
--   <li><a>isDoesNotExistError</a> if the environment variable does not
--   exist.</li>
--   </ul>
getEnv :: String -> IO String

module Foreign.ForeignPtr

-- | The type <a>ForeignPtr</a> represents references to objects that are
--   maintained in a foreign language, i.e., that are not part of the data
--   structures usually managed by the Haskell storage manager. The
--   essential difference between <a>ForeignPtr</a>s and vanilla memory
--   references of type <tt>Ptr a</tt> is that the former may be associated
--   with <i>finalizers</i>. A finalizer is a routine that is invoked when
--   the Haskell storage manager detects that - within the Haskell heap and
--   stack - there are no more references left that are pointing to the
--   <a>ForeignPtr</a>. Typically, the finalizer will, then, invoke
--   routines in the foreign language that free the resources bound by the
--   foreign object.
--   
--   The <a>ForeignPtr</a> is parameterised in the same way as <a>Ptr</a>.
--   The type argument of <a>ForeignPtr</a> should normally be an instance
--   of class <a>Storable</a>.
data ForeignPtr a :: * -> *

-- | A finalizer is represented as a pointer to a foreign function that, at
--   finalisation time, gets as an argument a plain pointer variant of the
--   foreign pointer that the finalizer is associated with.
type FinalizerPtr a = FunPtr (Ptr a -> IO ())
type FinalizerEnvPtr env a = FunPtr (Ptr env -> Ptr a -> IO ())

-- | Turns a plain memory reference into a foreign pointer, and associates
--   a finalizer with the reference. The finalizer will be executed after
--   the last reference to the foreign object is dropped. There is no
--   guarantee of promptness, however the finalizer will be executed before
--   the program exits.
newForeignPtr :: FinalizerPtr a -> Ptr a -> IO (ForeignPtr a)

-- | Turns a plain memory reference into a foreign pointer that may be
--   associated with finalizers by using <a>addForeignPtrFinalizer</a>.
newForeignPtr_ :: Ptr a -> IO (ForeignPtr a)

-- | This function adds a finalizer to the given foreign object. The
--   finalizer will run <i>before</i> all other finalizers for the same
--   object which have already been registered.
addForeignPtrFinalizer :: FinalizerPtr a -> ForeignPtr a -> IO ()

-- | This variant of <a>newForeignPtr</a> adds a finalizer that expects an
--   environment in addition to the finalized pointer. The environment that
--   will be passed to the finalizer is fixed by the second argument to
--   <a>newForeignPtrEnv</a>.
newForeignPtrEnv :: FinalizerEnvPtr env a -> Ptr env -> Ptr a -> IO (ForeignPtr a)

-- | Like <a>addForeignPtrFinalizerEnv</a> but allows the finalizer to be
--   passed an additional environment parameter to be passed to the
--   finalizer. The environment passed to the finalizer is fixed by the
--   second argument to <a>addForeignPtrFinalizerEnv</a>
addForeignPtrFinalizerEnv :: FinalizerEnvPtr env a -> Ptr env -> ForeignPtr a -> IO ()

-- | This is a way to look at the pointer living inside a foreign object.
--   This function takes a function which is applied to that pointer. The
--   resulting <a>IO</a> action is then executed. The foreign object is
--   kept alive at least during the whole action, even if it is not used
--   directly inside. Note that it is not safe to return the pointer from
--   the action and use it after the action completes. All uses of the
--   pointer should be inside the <a>withForeignPtr</a> bracket. The reason
--   for this unsafeness is the same as for <a>unsafeForeignPtrToPtr</a>
--   below: the finalizer may run earlier than expected, because the
--   compiler can only track usage of the <a>ForeignPtr</a> object, not a
--   <a>Ptr</a> object made from it.
--   
--   This function is normally used for marshalling data to or from the
--   object pointed to by the <a>ForeignPtr</a>, using the operations from
--   the <a>Storable</a> class.
withForeignPtr :: ForeignPtr a -> (Ptr a -> IO b) -> IO b

-- | Causes the finalizers associated with a foreign pointer to be run
--   immediately.
finalizeForeignPtr :: ForeignPtr a -> IO ()
unsafeForeignPtrToPtr :: ForeignPtr a -> Ptr a

-- | This function ensures that the foreign object in question is alive at
--   the given place in the sequence of IO actions. In particular
--   <a>withForeignPtr</a> does a <a>touchForeignPtr</a> after it executes
--   the user action.
--   
--   Note that this function should not be used to express dependencies
--   between finalizers on <a>ForeignPtr</a>s. For example, if the
--   finalizer for a <a>ForeignPtr</a> <tt>F1</tt> calls
--   <a>touchForeignPtr</a> on a second <a>ForeignPtr</a> <tt>F2</tt>, then
--   the only guarantee is that the finalizer for <tt>F2</tt> is never
--   started before the finalizer for <tt>F1</tt>. They might be started
--   together if for example both <tt>F1</tt> and <tt>F2</tt> are otherwise
--   unreachable.
--   
--   In general, it is not recommended to use finalizers on separate
--   objects with ordering constraints between them. To express the
--   ordering robustly requires explicit synchronisation between
--   finalizers.
touchForeignPtr :: ForeignPtr a -> IO ()

-- | This function casts a <a>ForeignPtr</a> parameterised by one type into
--   another type.
castForeignPtr :: ForeignPtr a -> ForeignPtr b

-- | Allocate some memory and return a <a>ForeignPtr</a> to it. The memory
--   will be released automatically when the <a>ForeignPtr</a> is
--   discarded.
--   
--   <a>mallocForeignPtr</a> is equivalent to
--   
--   <pre>
--   do { p &lt;- malloc; newForeignPtr finalizerFree p }
--   </pre>
--   
--   although it may be implemented differently internally: you may not
--   assume that the memory returned by <a>mallocForeignPtr</a> has been
--   allocated with <a>malloc</a>.
mallocForeignPtr :: Storable a => IO (ForeignPtr a)

-- | This function is similar to <a>mallocForeignPtr</a>, except that the
--   size of the memory required is given explicitly as a number of bytes.
mallocForeignPtrBytes :: Int -> IO (ForeignPtr a)

-- | This function is similar to <a>mallocArray</a>, but yields a memory
--   area that has a finalizer attached that releases the memory area. As
--   with <a>mallocForeignPtr</a>, it is not guaranteed that the block of
--   memory was allocated by <a>malloc</a>.
mallocForeignPtrArray :: Storable a => Int -> IO (ForeignPtr a)

-- | This function is similar to <a>mallocArray0</a>, but yields a memory
--   area that has a finalizer attached that releases the memory area. As
--   with <a>mallocForeignPtr</a>, it is not guaranteed that the block of
--   memory was allocated by <a>malloc</a>.
mallocForeignPtrArray0 :: Storable a => Int -> IO (ForeignPtr a)

module Foreign

module Foreign.C

module Data.List

-- | Append two lists, i.e.,
--   
--   <pre>
--   [x1, ..., xm] ++ [y1, ..., yn] == [x1, ..., xm, y1, ..., yn]
--   [x1, ..., xm] ++ [y1, ...] == [x1, ..., xm, y1, ...]
--   </pre>
--   
--   If the first list is not finite, the result is the first list.
(++) :: [a] -> [a] -> [a]

-- | Extract the first element of a list, which must be non-empty.
head :: [a] -> a

-- | Extract the last element of a list, which must be finite and
--   non-empty.
last :: [a] -> a

-- | Extract the elements after the head of a list, which must be
--   non-empty.
tail :: [a] -> [a]

-- | Return all the elements of a list except the last one. The list must
--   be non-empty.
init :: [a] -> [a]

-- | Test whether a list is empty.
null :: [a] -> Bool

-- | <i>O(n)</i>. <a>length</a> returns the length of a finite list as an
--   <a>Int</a>. It is an instance of the more general
--   <a>genericLength</a>, the result type of which may be any kind of
--   number.
length :: [a] -> Int

-- | <a>map</a> <tt>f xs</tt> is the list obtained by applying <tt>f</tt>
--   to each element of <tt>xs</tt>, i.e.,
--   
--   <pre>
--   map f [x1, x2, ..., xn] == [f x1, f x2, ..., f xn]
--   map f [x1, x2, ...] == [f x1, f x2, ...]
--   </pre>
map :: (a -> b) -> [a] -> [b]

-- | <a>reverse</a> <tt>xs</tt> returns the elements of <tt>xs</tt> in
--   reverse order. <tt>xs</tt> must be finite.
reverse :: [a] -> [a]

-- | The <a>intersperse</a> function takes an element and a list and
--   `intersperses' that element between the elements of the list. For
--   example,
--   
--   <pre>
--   intersperse ',' "abcde" == "a,b,c,d,e"
--   </pre>
intersperse :: a -> [a] -> [a]

-- | <a>intercalate</a> <tt>xs xss</tt> is equivalent to <tt>(<a>concat</a>
--   (<a>intersperse</a> xs xss))</tt>. It inserts the list <tt>xs</tt> in
--   between the lists in <tt>xss</tt> and concatenates the result.
intercalate :: [a] -> [[a]] -> [a]

-- | The <a>transpose</a> function transposes the rows and columns of its
--   argument. For example,
--   
--   <pre>
--   transpose [[1,2,3],[4,5,6]] == [[1,4],[2,5],[3,6]]
--   </pre>
transpose :: [[a]] -> [[a]]

-- | The <a>subsequences</a> function returns the list of all subsequences
--   of the argument.
--   
--   <pre>
--   subsequences "abc" == ["","a","b","ab","c","ac","bc","abc"]
--   </pre>
subsequences :: [a] -> [[a]]

-- | The <a>permutations</a> function returns the list of all permutations
--   of the argument.
--   
--   <pre>
--   permutations "abc" == ["abc","bac","cba","bca","cab","acb"]
--   </pre>
permutations :: [a] -> [[a]]

-- | <a>foldl</a>, applied to a binary operator, a starting value
--   (typically the left-identity of the operator), and a list, reduces the
--   list using the binary operator, from left to right:
--   
--   <pre>
--   foldl f z [x1, x2, ..., xn] == (...((z `f` x1) `f` x2) `f`...) `f` xn
--   </pre>
--   
--   The list must be finite.
foldl :: (a -> b -> a) -> a -> [b] -> a

-- | A strict version of <a>foldl</a>.
foldl' :: (a -> b -> a) -> a -> [b] -> a

-- | <a>foldl1</a> is a variant of <a>foldl</a> that has no starting value
--   argument, and thus must be applied to non-empty lists.
foldl1 :: (a -> a -> a) -> [a] -> a

-- | A strict version of <a>foldl1</a>
foldl1' :: (a -> a -> a) -> [a] -> a

-- | <a>foldr</a>, applied to a binary operator, a starting value
--   (typically the right-identity of the operator), and a list, reduces
--   the list using the binary operator, from right to left:
--   
--   <pre>
--   foldr f z [x1, x2, ..., xn] == x1 `f` (x2 `f` ... (xn `f` z)...)
--   </pre>
foldr :: (a -> b -> b) -> b -> [a] -> b

-- | <a>foldr1</a> is a variant of <a>foldr</a> that has no starting value
--   argument, and thus must be applied to non-empty lists.
foldr1 :: (a -> a -> a) -> [a] -> a

-- | Concatenate a list of lists.
concat :: [[a]] -> [a]

-- | Map a function over a list and concatenate the results.
concatMap :: (a -> [b]) -> [a] -> [b]

-- | <a>and</a> returns the conjunction of a Boolean list. For the result
--   to be <a>True</a>, the list must be finite; <a>False</a>, however,
--   results from a <a>False</a> value at a finite index of a finite or
--   infinite list.
and :: [Bool] -> Bool

-- | <a>or</a> returns the disjunction of a Boolean list. For the result to
--   be <a>False</a>, the list must be finite; <a>True</a>, however,
--   results from a <a>True</a> value at a finite index of a finite or
--   infinite list.
or :: [Bool] -> Bool

-- | Applied to a predicate and a list, <a>any</a> determines if any
--   element of the list satisfies the predicate. For the result to be
--   <a>False</a>, the list must be finite; <a>True</a>, however, results
--   from a <a>True</a> value for the predicate applied to an element at a
--   finite index of a finite or infinite list.
any :: (a -> Bool) -> [a] -> Bool

-- | Applied to a predicate and a list, <a>all</a> determines if all
--   elements of the list satisfy the predicate. For the result to be
--   <a>True</a>, the list must be finite; <a>False</a>, however, results
--   from a <a>False</a> value for the predicate applied to an element at a
--   finite index of a finite or infinite list.
all :: (a -> Bool) -> [a] -> Bool

-- | The <a>sum</a> function computes the sum of a finite list of numbers.
sum :: Num a => [a] -> a

-- | The <a>product</a> function computes the product of a finite list of
--   numbers.
product :: Num a => [a] -> a

-- | <a>maximum</a> returns the maximum value from a list, which must be
--   non-empty, finite, and of an ordered type. It is a special case of
--   <a>maximumBy</a>, which allows the programmer to supply their own
--   comparison function.
maximum :: Ord a => [a] -> a

-- | <a>minimum</a> returns the minimum value from a list, which must be
--   non-empty, finite, and of an ordered type. It is a special case of
--   <a>minimumBy</a>, which allows the programmer to supply their own
--   comparison function.
minimum :: Ord a => [a] -> a

-- | <a>scanl</a> is similar to <a>foldl</a>, but returns a list of
--   successive reduced values from the left:
--   
--   <pre>
--   scanl f z [x1, x2, ...] == [z, z `f` x1, (z `f` x1) `f` x2, ...]
--   </pre>
--   
--   Note that
--   
--   <pre>
--   last (scanl f z xs) == foldl f z xs.
--   </pre>
scanl :: (a -> b -> a) -> a -> [b] -> [a]

-- | <a>scanl1</a> is a variant of <a>scanl</a> that has no starting value
--   argument:
--   
--   <pre>
--   scanl1 f [x1, x2, ...] == [x1, x1 `f` x2, ...]
--   </pre>
scanl1 :: (a -> a -> a) -> [a] -> [a]

-- | <a>scanr</a> is the right-to-left dual of <a>scanl</a>. Note that
--   
--   <pre>
--   head (scanr f z xs) == foldr f z xs.
--   </pre>
scanr :: (a -> b -> b) -> b -> [a] -> [b]

-- | <a>scanr1</a> is a variant of <a>scanr</a> that has no starting value
--   argument.
scanr1 :: (a -> a -> a) -> [a] -> [a]

-- | The <a>mapAccumL</a> function behaves like a combination of <a>map</a>
--   and <a>foldl</a>; it applies a function to each element of a list,
--   passing an accumulating parameter from left to right, and returning a
--   final value of this accumulator together with the new list.
mapAccumL :: (acc -> x -> (acc, y)) -> acc -> [x] -> (acc, [y])

-- | The <a>mapAccumR</a> function behaves like a combination of <a>map</a>
--   and <a>foldr</a>; it applies a function to each element of a list,
--   passing an accumulating parameter from right to left, and returning a
--   final value of this accumulator together with the new list.
mapAccumR :: (acc -> x -> (acc, y)) -> acc -> [x] -> (acc, [y])

-- | <a>iterate</a> <tt>f x</tt> returns an infinite list of repeated
--   applications of <tt>f</tt> to <tt>x</tt>:
--   
--   <pre>
--   iterate f x == [x, f x, f (f x), ...]
--   </pre>
iterate :: (a -> a) -> a -> [a]

-- | <a>repeat</a> <tt>x</tt> is an infinite list, with <tt>x</tt> the
--   value of every element.
repeat :: a -> [a]

-- | <a>replicate</a> <tt>n x</tt> is a list of length <tt>n</tt> with
--   <tt>x</tt> the value of every element. It is an instance of the more
--   general <a>genericReplicate</a>, in which <tt>n</tt> may be of any
--   integral type.
replicate :: Int -> a -> [a]

-- | <a>cycle</a> ties a finite list into a circular one, or equivalently,
--   the infinite repetition of the original list. It is the identity on
--   infinite lists.
cycle :: [a] -> [a]

-- | The <a>unfoldr</a> function is a `dual' to <a>foldr</a>: while
--   <a>foldr</a> reduces a list to a summary value, <a>unfoldr</a> builds
--   a list from a seed value. The function takes the element and returns
--   <a>Nothing</a> if it is done producing the list or returns <a>Just</a>
--   <tt>(a,b)</tt>, in which case, <tt>a</tt> is a prepended to the list
--   and <tt>b</tt> is used as the next element in a recursive call. For
--   example,
--   
--   <pre>
--   iterate f == unfoldr (\x -&gt; Just (x, f x))
--   </pre>
--   
--   In some cases, <a>unfoldr</a> can undo a <a>foldr</a> operation:
--   
--   <pre>
--   unfoldr f' (foldr f z xs) == xs
--   </pre>
--   
--   if the following holds:
--   
--   <pre>
--   f' (f x y) = Just (x,y)
--   f' z       = Nothing
--   </pre>
--   
--   A simple use of unfoldr:
--   
--   <pre>
--   unfoldr (\b -&gt; if b == 0 then Nothing else Just (b, b-1)) 10
--    [10,9,8,7,6,5,4,3,2,1]
--   </pre>
unfoldr :: (b -> Maybe (a, b)) -> b -> [a]

-- | <a>take</a> <tt>n</tt>, applied to a list <tt>xs</tt>, returns the
--   prefix of <tt>xs</tt> of length <tt>n</tt>, or <tt>xs</tt> itself if
--   <tt>n &gt; <a>length</a> xs</tt>:
--   
--   <pre>
--   take 5 "Hello World!" == "Hello"
--   take 3 [1,2,3,4,5] == [1,2,3]
--   take 3 [1,2] == [1,2]
--   take 3 [] == []
--   take (-1) [1,2] == []
--   take 0 [1,2] == []
--   </pre>
--   
--   It is an instance of the more general <a>genericTake</a>, in which
--   <tt>n</tt> may be of any integral type.
take :: Int -> [a] -> [a]

-- | <a>drop</a> <tt>n xs</tt> returns the suffix of <tt>xs</tt> after the
--   first <tt>n</tt> elements, or <tt>[]</tt> if <tt>n &gt; <a>length</a>
--   xs</tt>:
--   
--   <pre>
--   drop 6 "Hello World!" == "World!"
--   drop 3 [1,2,3,4,5] == [4,5]
--   drop 3 [1,2] == []
--   drop 3 [] == []
--   drop (-1) [1,2] == [1,2]
--   drop 0 [1,2] == [1,2]
--   </pre>
--   
--   It is an instance of the more general <a>genericDrop</a>, in which
--   <tt>n</tt> may be of any integral type.
drop :: Int -> [a] -> [a]

-- | <a>splitAt</a> <tt>n xs</tt> returns a tuple where first element is
--   <tt>xs</tt> prefix of length <tt>n</tt> and second element is the
--   remainder of the list:
--   
--   <pre>
--   splitAt 6 "Hello World!" == ("Hello ","World!")
--   splitAt 3 [1,2,3,4,5] == ([1,2,3],[4,5])
--   splitAt 1 [1,2,3] == ([1],[2,3])
--   splitAt 3 [1,2,3] == ([1,2,3],[])
--   splitAt 4 [1,2,3] == ([1,2,3],[])
--   splitAt 0 [1,2,3] == ([],[1,2,3])
--   splitAt (-1) [1,2,3] == ([],[1,2,3])
--   </pre>
--   
--   It is equivalent to <tt>(<a>take</a> n xs, <a>drop</a> n xs)</tt>.
--   <a>splitAt</a> is an instance of the more general
--   <a>genericSplitAt</a>, in which <tt>n</tt> may be of any integral
--   type.
splitAt :: Int -> [a] -> ([a], [a])

-- | <a>takeWhile</a>, applied to a predicate <tt>p</tt> and a list
--   <tt>xs</tt>, returns the longest prefix (possibly empty) of
--   <tt>xs</tt> of elements that satisfy <tt>p</tt>:
--   
--   <pre>
--   takeWhile (&lt; 3) [1,2,3,4,1,2,3,4] == [1,2]
--   takeWhile (&lt; 9) [1,2,3] == [1,2,3]
--   takeWhile (&lt; 0) [1,2,3] == []
--   </pre>
takeWhile :: (a -> Bool) -> [a] -> [a]

-- | <a>dropWhile</a> <tt>p xs</tt> returns the suffix remaining after
--   <a>takeWhile</a> <tt>p xs</tt>:
--   
--   <pre>
--   dropWhile (&lt; 3) [1,2,3,4,5,1,2,3] == [3,4,5,1,2,3]
--   dropWhile (&lt; 9) [1,2,3] == []
--   dropWhile (&lt; 0) [1,2,3] == [1,2,3]
--   </pre>
dropWhile :: (a -> Bool) -> [a] -> [a]

-- | <a>span</a>, applied to a predicate <tt>p</tt> and a list <tt>xs</tt>,
--   returns a tuple where first element is longest prefix (possibly empty)
--   of <tt>xs</tt> of elements that satisfy <tt>p</tt> and second element
--   is the remainder of the list:
--   
--   <pre>
--   span (&lt; 3) [1,2,3,4,1,2,3,4] == ([1,2],[3,4,1,2,3,4])
--   span (&lt; 9) [1,2,3] == ([1,2,3],[])
--   span (&lt; 0) [1,2,3] == ([],[1,2,3])
--   </pre>
--   
--   <a>span</a> <tt>p xs</tt> is equivalent to <tt>(<a>takeWhile</a> p xs,
--   <a>dropWhile</a> p xs)</tt>
span :: (a -> Bool) -> [a] -> ([a], [a])

-- | <a>break</a>, applied to a predicate <tt>p</tt> and a list
--   <tt>xs</tt>, returns a tuple where first element is longest prefix
--   (possibly empty) of <tt>xs</tt> of elements that <i>do not satisfy</i>
--   <tt>p</tt> and second element is the remainder of the list:
--   
--   <pre>
--   break (&gt; 3) [1,2,3,4,1,2,3,4] == ([1,2,3],[4,1,2,3,4])
--   break (&lt; 9) [1,2,3] == ([],[1,2,3])
--   break (&gt; 9) [1,2,3] == ([1,2,3],[])
--   </pre>
--   
--   <a>break</a> <tt>p</tt> is equivalent to <tt><a>span</a> (<a>not</a> .
--   p)</tt>.
break :: (a -> Bool) -> [a] -> ([a], [a])

-- | The <a>stripPrefix</a> function drops the given prefix from a list. It
--   returns <a>Nothing</a> if the list did not start with the prefix
--   given, or <a>Just</a> the list after the prefix, if it does.
--   
--   <pre>
--   stripPrefix "foo" "foobar" == Just "bar"
--   stripPrefix "foo" "foo" == Just ""
--   stripPrefix "foo" "barfoo" == Nothing
--   stripPrefix "foo" "barfoobaz" == Nothing
--   </pre>
stripPrefix :: Eq a => [a] -> [a] -> Maybe [a]

-- | The <a>group</a> function takes a list and returns a list of lists
--   such that the concatenation of the result is equal to the argument.
--   Moreover, each sublist in the result contains only equal elements. For
--   example,
--   
--   <pre>
--   group "Mississippi" = ["M","i","ss","i","ss","i","pp","i"]
--   </pre>
--   
--   It is a special case of <a>groupBy</a>, which allows the programmer to
--   supply their own equality test.
group :: Eq a => [a] -> [[a]]

-- | The <a>inits</a> function returns all initial segments of the
--   argument, shortest first. For example,
--   
--   <pre>
--   inits "abc" == ["","a","ab","abc"]
--   </pre>
--   
--   Note that <a>inits</a> has the following strictness property:
--   <tt>inits _|_ = [] : _|_</tt>
inits :: [a] -> [[a]]

-- | The <a>tails</a> function returns all final segments of the argument,
--   longest first. For example,
--   
--   <pre>
--   tails "abc" == ["abc", "bc", "c",""]
--   </pre>
--   
--   Note that <a>tails</a> has the following strictness property:
--   <tt>tails _|_ = _|_ : _|_</tt>
tails :: [a] -> [[a]]

-- | The <a>isPrefixOf</a> function takes two lists and returns <a>True</a>
--   iff the first list is a prefix of the second.
isPrefixOf :: Eq a => [a] -> [a] -> Bool

-- | The <a>isSuffixOf</a> function takes two lists and returns <a>True</a>
--   iff the first list is a suffix of the second. Both lists must be
--   finite.
isSuffixOf :: Eq a => [a] -> [a] -> Bool

-- | The <a>isInfixOf</a> function takes two lists and returns <a>True</a>
--   iff the first list is contained, wholly and intact, anywhere within
--   the second.
--   
--   Example:
--   
--   <pre>
--   isInfixOf "Haskell" "I really like Haskell." == True
--   isInfixOf "Ial" "I really like Haskell." == False
--   </pre>
isInfixOf :: Eq a => [a] -> [a] -> Bool

-- | <a>elem</a> is the list membership predicate, usually written in infix
--   form, e.g., <tt>x `elem` xs</tt>. For the result to be <a>False</a>,
--   the list must be finite; <a>True</a>, however, results from an element
--   equal to <tt>x</tt> found at a finite index of a finite or infinite
--   list.
elem :: Eq a => a -> [a] -> Bool

-- | <a>notElem</a> is the negation of <a>elem</a>.
notElem :: Eq a => a -> [a] -> Bool

-- | <a>lookup</a> <tt>key assocs</tt> looks up a key in an association
--   list.
lookup :: Eq a => a -> [(a, b)] -> Maybe b

-- | The <a>find</a> function takes a predicate and a list and returns the
--   first element in the list matching the predicate, or <a>Nothing</a> if
--   there is no such element.
find :: (a -> Bool) -> [a] -> Maybe a

-- | <a>filter</a>, applied to a predicate and a list, returns the list of
--   those elements that satisfy the predicate; i.e.,
--   
--   <pre>
--   filter p xs = [ x | x &lt;- xs, p x]
--   </pre>
filter :: (a -> Bool) -> [a] -> [a]

-- | The <a>partition</a> function takes a predicate a list and returns the
--   pair of lists of elements which do and do not satisfy the predicate,
--   respectively; i.e.,
--   
--   <pre>
--   partition p xs == (filter p xs, filter (not . p) xs)
--   </pre>
partition :: (a -> Bool) -> [a] -> ([a], [a])

-- | List index (subscript) operator, starting from 0. It is an instance of
--   the more general <a>genericIndex</a>, which takes an index of any
--   integral type.
(!!) :: [a] -> Int -> a

-- | The <a>elemIndex</a> function returns the index of the first element
--   in the given list which is equal (by <a>==</a>) to the query element,
--   or <a>Nothing</a> if there is no such element.
elemIndex :: Eq a => a -> [a] -> Maybe Int

-- | The <a>elemIndices</a> function extends <a>elemIndex</a>, by returning
--   the indices of all elements equal to the query element, in ascending
--   order.
elemIndices :: Eq a => a -> [a] -> [Int]

-- | The <a>findIndex</a> function takes a predicate and a list and returns
--   the index of the first element in the list satisfying the predicate,
--   or <a>Nothing</a> if there is no such element.
findIndex :: (a -> Bool) -> [a] -> Maybe Int

-- | The <a>findIndices</a> function extends <a>findIndex</a>, by returning
--   the indices of all elements satisfying the predicate, in ascending
--   order.
findIndices :: (a -> Bool) -> [a] -> [Int]

-- | <a>zip</a> takes two lists and returns a list of corresponding pairs.
--   If one input list is short, excess elements of the longer list are
--   discarded.
zip :: [a] -> [b] -> [(a, b)]

-- | <a>zip3</a> takes three lists and returns a list of triples, analogous
--   to <a>zip</a>.
zip3 :: [a] -> [b] -> [c] -> [(a, b, c)]

-- | The <a>zip4</a> function takes four lists and returns a list of
--   quadruples, analogous to <a>zip</a>.
zip4 :: [a] -> [b] -> [c] -> [d] -> [(a, b, c, d)]

-- | The <a>zip5</a> function takes five lists and returns a list of
--   five-tuples, analogous to <a>zip</a>.
zip5 :: [a] -> [b] -> [c] -> [d] -> [e] -> [(a, b, c, d, e)]

-- | The <a>zip6</a> function takes six lists and returns a list of
--   six-tuples, analogous to <a>zip</a>.
zip6 :: [a] -> [b] -> [c] -> [d] -> [e] -> [f] -> [(a, b, c, d, e, f)]

-- | The <a>zip7</a> function takes seven lists and returns a list of
--   seven-tuples, analogous to <a>zip</a>.
zip7 :: [a] -> [b] -> [c] -> [d] -> [e] -> [f] -> [g] -> [(a, b, c, d, e, f, g)]

-- | <a>zipWith</a> generalises <a>zip</a> by zipping with the function
--   given as the first argument, instead of a tupling function. For
--   example, <tt><a>zipWith</a> (+)</tt> is applied to two lists to
--   produce the list of corresponding sums.
zipWith :: (a -> b -> c) -> [a] -> [b] -> [c]

-- | The <a>zipWith3</a> function takes a function which combines three
--   elements, as well as three lists and returns a list of their
--   point-wise combination, analogous to <a>zipWith</a>.
zipWith3 :: (a -> b -> c -> d) -> [a] -> [b] -> [c] -> [d]

-- | The <a>zipWith4</a> function takes a function which combines four
--   elements, as well as four lists and returns a list of their point-wise
--   combination, analogous to <a>zipWith</a>.
zipWith4 :: (a -> b -> c -> d -> e) -> [a] -> [b] -> [c] -> [d] -> [e]

-- | The <a>zipWith5</a> function takes a function which combines five
--   elements, as well as five lists and returns a list of their point-wise
--   combination, analogous to <a>zipWith</a>.
zipWith5 :: (a -> b -> c -> d -> e -> f) -> [a] -> [b] -> [c] -> [d] -> [e] -> [f]

-- | The <a>zipWith6</a> function takes a function which combines six
--   elements, as well as six lists and returns a list of their point-wise
--   combination, analogous to <a>zipWith</a>.
zipWith6 :: (a -> b -> c -> d -> e -> f -> g) -> [a] -> [b] -> [c] -> [d] -> [e] -> [f] -> [g]

-- | The <a>zipWith7</a> function takes a function which combines seven
--   elements, as well as seven lists and returns a list of their
--   point-wise combination, analogous to <a>zipWith</a>.
zipWith7 :: (a -> b -> c -> d -> e -> f -> g -> h) -> [a] -> [b] -> [c] -> [d] -> [e] -> [f] -> [g] -> [h]

-- | <a>unzip</a> transforms a list of pairs into a list of first
--   components and a list of second components.
unzip :: [(a, b)] -> ([a], [b])

-- | The <a>unzip3</a> function takes a list of triples and returns three
--   lists, analogous to <a>unzip</a>.
unzip3 :: [(a, b, c)] -> ([a], [b], [c])

-- | The <a>unzip4</a> function takes a list of quadruples and returns four
--   lists, analogous to <a>unzip</a>.
unzip4 :: [(a, b, c, d)] -> ([a], [b], [c], [d])

-- | The <a>unzip5</a> function takes a list of five-tuples and returns
--   five lists, analogous to <a>unzip</a>.
unzip5 :: [(a, b, c, d, e)] -> ([a], [b], [c], [d], [e])

-- | The <a>unzip6</a> function takes a list of six-tuples and returns six
--   lists, analogous to <a>unzip</a>.
unzip6 :: [(a, b, c, d, e, f)] -> ([a], [b], [c], [d], [e], [f])

-- | The <a>unzip7</a> function takes a list of seven-tuples and returns
--   seven lists, analogous to <a>unzip</a>.
unzip7 :: [(a, b, c, d, e, f, g)] -> ([a], [b], [c], [d], [e], [f], [g])

-- | <a>lines</a> breaks a string up into a list of strings at newline
--   characters. The resulting strings do not contain newlines.
lines :: String -> [String]

-- | <a>words</a> breaks a string up into a list of words, which were
--   delimited by white space.
words :: String -> [String]

-- | <a>unlines</a> is an inverse operation to <a>lines</a>. It joins
--   lines, after appending a terminating newline to each.
unlines :: [String] -> String

-- | <a>unwords</a> is an inverse operation to <a>words</a>. It joins words
--   with separating spaces.
unwords :: [String] -> String

-- | <i>O(n^2)</i>. The <a>nub</a> function removes duplicate elements from
--   a list. In particular, it keeps only the first occurrence of each
--   element. (The name <a>nub</a> means `essence'.) It is a special case
--   of <a>nubBy</a>, which allows the programmer to supply their own
--   equality test.
nub :: Eq a => [a] -> [a]

-- | <a>delete</a> <tt>x</tt> removes the first occurrence of <tt>x</tt>
--   from its list argument. For example,
--   
--   <pre>
--   delete 'a' "banana" == "bnana"
--   </pre>
--   
--   It is a special case of <a>deleteBy</a>, which allows the programmer
--   to supply their own equality test.
delete :: Eq a => a -> [a] -> [a]

-- | The <a>\\</a> function is list difference (non-associative). In the
--   result of <tt>xs</tt> <a>\\</a> <tt>ys</tt>, the first occurrence of
--   each element of <tt>ys</tt> in turn (if any) has been removed from
--   <tt>xs</tt>. Thus
--   
--   <pre>
--   (xs ++ ys) \\ xs == ys.
--   </pre>
--   
--   It is a special case of <a>deleteFirstsBy</a>, which allows the
--   programmer to supply their own equality test.
(\\) :: Eq a => [a] -> [a] -> [a]

-- | The <a>union</a> function returns the list union of the two lists. For
--   example,
--   
--   <pre>
--   "dog" `union` "cow" == "dogcw"
--   </pre>
--   
--   Duplicates, and elements of the first list, are removed from the the
--   second list, but if the first list contains duplicates, so will the
--   result. It is a special case of <a>unionBy</a>, which allows the
--   programmer to supply their own equality test.
union :: Eq a => [a] -> [a] -> [a]

-- | The <a>intersect</a> function takes the list intersection of two
--   lists. For example,
--   
--   <pre>
--   [1,2,3,4] `intersect` [2,4,6,8] == [2,4]
--   </pre>
--   
--   If the first list contains duplicates, so will the result.
--   
--   <pre>
--   [1,2,2,3,4] `intersect` [6,4,4,2] == [2,2,4]
--   </pre>
--   
--   It is a special case of <a>intersectBy</a>, which allows the
--   programmer to supply their own equality test.
intersect :: Eq a => [a] -> [a] -> [a]

-- | The <a>sort</a> function implements a stable sorting algorithm. It is
--   a special case of <a>sortBy</a>, which allows the programmer to supply
--   their own comparison function.
sort :: Ord a => [a] -> [a]

-- | The <a>insert</a> function takes an element and a list and inserts the
--   element into the list at the last position where it is still less than
--   or equal to the next element. In particular, if the list is sorted
--   before the call, the result will also be sorted. It is a special case
--   of <a>insertBy</a>, which allows the programmer to supply their own
--   comparison function.
insert :: Ord a => a -> [a] -> [a]

-- | The <a>nubBy</a> function behaves just like <a>nub</a>, except it uses
--   a user-supplied equality predicate instead of the overloaded <a>==</a>
--   function.
nubBy :: (a -> a -> Bool) -> [a] -> [a]

-- | The <a>deleteBy</a> function behaves like <a>delete</a>, but takes a
--   user-supplied equality predicate.
deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]

-- | The <a>deleteFirstsBy</a> function takes a predicate and two lists and
--   returns the first list with the first occurrence of each element of
--   the second list removed.
deleteFirstsBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]

-- | The <a>unionBy</a> function is the non-overloaded version of
--   <a>union</a>.
unionBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]

-- | The <a>intersectBy</a> function is the non-overloaded version of
--   <a>intersect</a>.
intersectBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]

-- | The <a>groupBy</a> function is the non-overloaded version of
--   <a>group</a>.
groupBy :: (a -> a -> Bool) -> [a] -> [[a]]

-- | The <a>sortBy</a> function is the non-overloaded version of
--   <a>sort</a>.
sortBy :: (a -> a -> Ordering) -> [a] -> [a]

-- | The non-overloaded version of <a>insert</a>.
insertBy :: (a -> a -> Ordering) -> a -> [a] -> [a]

-- | The <a>maximumBy</a> function takes a comparison function and a list
--   and returns the greatest element of the list by the comparison
--   function. The list must be finite and non-empty.
maximumBy :: (a -> a -> Ordering) -> [a] -> a

-- | The <a>minimumBy</a> function takes a comparison function and a list
--   and returns the least element of the list by the comparison function.
--   The list must be finite and non-empty.
minimumBy :: (a -> a -> Ordering) -> [a] -> a

-- | The <a>genericLength</a> function is an overloaded version of
--   <a>length</a>. In particular, instead of returning an <a>Int</a>, it
--   returns any type which is an instance of <a>Num</a>. It is, however,
--   less efficient than <a>length</a>.
genericLength :: Num i => [b] -> i

-- | The <a>genericTake</a> function is an overloaded version of
--   <a>take</a>, which accepts any <a>Integral</a> value as the number of
--   elements to take.
genericTake :: Integral i => i -> [a] -> [a]

-- | The <a>genericDrop</a> function is an overloaded version of
--   <a>drop</a>, which accepts any <a>Integral</a> value as the number of
--   elements to drop.
genericDrop :: Integral i => i -> [a] -> [a]

-- | The <a>genericSplitAt</a> function is an overloaded version of
--   <a>splitAt</a>, which accepts any <a>Integral</a> value as the
--   position at which to split.
genericSplitAt :: Integral i => i -> [b] -> ([b], [b])

-- | The <a>genericIndex</a> function is an overloaded version of
--   <a>!!</a>, which accepts any <a>Integral</a> value as the index.
genericIndex :: Integral a => [b] -> a -> b

-- | The <a>genericReplicate</a> function is an overloaded version of
--   <a>replicate</a>, which accepts any <a>Integral</a> value as the
--   number of repetitions to make.
genericReplicate :: Integral i => i -> a -> [a]


-- | The <a>Control.Monad</a> module provides the <a>Functor</a>,
--   <a>Monad</a> and <a>MonadPlus</a> classes, together with some useful
--   operations on monads.
module Control.Monad

-- | The <a>Functor</a> class is used for types that can be mapped over.
--   Instances of <a>Functor</a> should satisfy the following laws:
--   
--   <pre>
--   fmap id  ==  id
--   fmap (f . g)  ==  fmap f . fmap g
--   </pre>
--   
--   The instances of <a>Functor</a> for lists, <a>Maybe</a> and <a>IO</a>
--   satisfy these laws.
class Functor (f :: * -> *)
fmap :: Functor f => (a -> b) -> f a -> f b

-- | The <a>Monad</a> class defines the basic operations over a
--   <i>monad</i>, a concept from a branch of mathematics known as
--   <i>category theory</i>. From the perspective of a Haskell programmer,
--   however, it is best to think of a monad as an <i>abstract datatype</i>
--   of actions. Haskell's <tt>do</tt> expressions provide a convenient
--   syntax for writing monadic expressions.
--   
--   Minimal complete definition: <a>&gt;&gt;=</a> and <a>return</a>.
--   
--   Instances of <a>Monad</a> should satisfy the following laws:
--   
--   <pre>
--   return a &gt;&gt;= k  ==  k a
--   m &gt;&gt;= return  ==  m
--   m &gt;&gt;= (\x -&gt; k x &gt;&gt;= h)  ==  (m &gt;&gt;= k) &gt;&gt;= h
--   </pre>
--   
--   Instances of both <a>Monad</a> and <a>Functor</a> should additionally
--   satisfy the law:
--   
--   <pre>
--   fmap f xs  ==  xs &gt;&gt;= return . f
--   </pre>
--   
--   The instances of <a>Monad</a> for lists, <a>Maybe</a> and <a>IO</a>
--   defined in the <a>Prelude</a> satisfy these laws.
class Monad (m :: * -> *)
(>>=) :: Monad m => m a -> (a -> m b) -> m b
(>>) :: Monad m => m a -> m b -> m b
return :: Monad m => a -> m a
fail :: Monad m => String -> m a

-- | Monads that also support choice and failure.
class Monad m => MonadPlus (m :: * -> *)
mzero :: MonadPlus m => m a
mplus :: MonadPlus m => m a -> m a -> m a

-- | <tt><a>mapM</a> f</tt> is equivalent to <tt><a>sequence</a> .
--   <a>map</a> f</tt>.
mapM :: Monad m => (a -> m b) -> [a] -> m [b]

-- | <tt><a>mapM_</a> f</tt> is equivalent to <tt><a>sequence_</a> .
--   <a>map</a> f</tt>.
mapM_ :: Monad m => (a -> m b) -> [a] -> m ()

-- | <a>forM</a> is <a>mapM</a> with its arguments flipped
forM :: Monad m => [a] -> (a -> m b) -> m [b]

-- | <a>forM_</a> is <a>mapM_</a> with its arguments flipped
forM_ :: Monad m => [a] -> (a -> m b) -> m ()

-- | Evaluate each action in the sequence from left to right, and collect
--   the results.
sequence :: Monad m => [m a] -> m [a]

-- | Evaluate each action in the sequence from left to right, and ignore
--   the results.
sequence_ :: Monad m => [m a] -> m ()

-- | Same as <a>&gt;&gt;=</a>, but with the arguments interchanged.
(=<<) :: Monad m => (a -> m b) -> m a -> m b

-- | Left-to-right Kleisli composition of monads.
(>=>) :: Monad m => (a -> m b) -> (b -> m c) -> a -> m c

-- | Right-to-left Kleisli composition of monads.
--   <tt>(<a>&gt;=&gt;</a>)</tt>, with the arguments flipped
(<=<) :: Monad m => (b -> m c) -> (a -> m b) -> a -> m c

-- | <tt><a>forever</a> act</tt> repeats the action infinitely.
forever :: Monad m => m a -> m b

-- | <tt><a>void</a> value</tt> discards or ignores the result of
--   evaluation, such as the return value of an <a>IO</a> action.
void :: Functor f => f a -> f ()

-- | The <a>join</a> function is the conventional monad join operator. It
--   is used to remove one level of monadic structure, projecting its bound
--   argument into the outer level.
join :: Monad m => m (m a) -> m a

-- | This generalizes the list-based <a>concat</a> function.
msum :: MonadPlus m => [m a] -> m a

-- | This generalizes the list-based <a>filter</a> function.
filterM :: Monad m => (a -> m Bool) -> [a] -> m [a]

-- | The <a>mapAndUnzipM</a> function maps its first argument over a list,
--   returning the result as a pair of lists. This function is mainly used
--   with complicated data structures or a state-transforming monad.
mapAndUnzipM :: Monad m => (a -> m (b, c)) -> [a] -> m ([b], [c])

-- | The <a>zipWithM</a> function generalizes <a>zipWith</a> to arbitrary
--   monads.
zipWithM :: Monad m => (a -> b -> m c) -> [a] -> [b] -> m [c]

-- | <a>zipWithM_</a> is the extension of <a>zipWithM</a> which ignores the
--   final result.
zipWithM_ :: Monad m => (a -> b -> m c) -> [a] -> [b] -> m ()

-- | The <a>foldM</a> function is analogous to <a>foldl</a>, except that
--   its result is encapsulated in a monad. Note that <a>foldM</a> works
--   from left-to-right over the list arguments. This could be an issue
--   where <tt>(<a>&gt;&gt;</a>)</tt> and the `folded function' are not
--   commutative.
--   
--   <pre>
--   foldM f a1 [x1, x2, ..., xm]
--   </pre>
--   
--   ==
--   
--   <pre>
--   do
--     a2 &lt;- f a1 x1
--     a3 &lt;- f a2 x2
--     ...
--     f am xm
--   </pre>
--   
--   If right-to-left evaluation is required, the input list should be
--   reversed.
foldM :: Monad m => (a -> b -> m a) -> a -> [b] -> m a

-- | Like <a>foldM</a>, but discards the result.
foldM_ :: Monad m => (a -> b -> m a) -> a -> [b] -> m ()

-- | <tt><a>replicateM</a> n act</tt> performs the action <tt>n</tt> times,
--   gathering the results.
replicateM :: Monad m => Int -> m a -> m [a]

-- | Like <a>replicateM</a>, but discards the result.
replicateM_ :: Monad m => Int -> m a -> m ()

-- | <tt><a>guard</a> b</tt> is <tt><a>return</a> ()</tt> if <tt>b</tt> is
--   <a>True</a>, and <a>mzero</a> if <tt>b</tt> is <a>False</a>.
guard :: MonadPlus m => Bool -> m ()

-- | Conditional execution of monadic expressions. For example,
--   
--   <pre>
--   when debug (putStr "Debugging\n")
--   </pre>
--   
--   will output the string <tt>Debugging\n</tt> if the Boolean value
--   <tt>debug</tt> is <a>True</a>, and otherwise do nothing.
when :: Monad m => Bool -> m () -> m ()

-- | The reverse of <a>when</a>.
unless :: Monad m => Bool -> m () -> m ()

-- | Promote a function to a monad.
liftM :: Monad m => (a1 -> r) -> m a1 -> m r

-- | Promote a function to a monad, scanning the monadic arguments from
--   left to right. For example,
--   
--   <pre>
--   liftM2 (+) [0,1] [0,2] = [0,2,1,3]
--   liftM2 (+) (Just 1) Nothing = Nothing
--   </pre>
liftM2 :: Monad m => (a1 -> a2 -> r) -> m a1 -> m a2 -> m r

-- | Promote a function to a monad, scanning the monadic arguments from
--   left to right (cf. <a>liftM2</a>).
liftM3 :: Monad m => (a1 -> a2 -> a3 -> r) -> m a1 -> m a2 -> m a3 -> m r

-- | Promote a function to a monad, scanning the monadic arguments from
--   left to right (cf. <a>liftM2</a>).
liftM4 :: Monad m => (a1 -> a2 -> a3 -> a4 -> r) -> m a1 -> m a2 -> m a3 -> m a4 -> m r

-- | Promote a function to a monad, scanning the monadic arguments from
--   left to right (cf. <a>liftM2</a>).
liftM5 :: Monad m => (a1 -> a2 -> a3 -> a4 -> a5 -> r) -> m a1 -> m a2 -> m a3 -> m a4 -> m a5 -> m r

-- | In many situations, the <a>liftM</a> operations can be replaced by
--   uses of <a>ap</a>, which promotes function application.
--   
--   <pre>
--   return f `ap` x1 `ap` ... `ap` xn
--   </pre>
--   
--   is equivalent to
--   
--   <pre>
--   liftMn f x1 x2 ... xn
--   </pre>
ap :: Monad m => m (a -> b) -> m a -> m b

module System.IO

-- | A value of type <tt><a>IO</a> a</tt> is a computation which, when
--   performed, does some I/O before returning a value of type <tt>a</tt>.
--   
--   There is really only one way to "perform" an I/O action: bind it to
--   <tt>Main.main</tt> in your program. When your program is run, the I/O
--   will be performed. It isn't possible to perform I/O from an arbitrary
--   function, unless that function is itself in the <a>IO</a> monad and
--   called at some point, directly or indirectly, from <tt>Main.main</tt>.
--   
--   <a>IO</a> is a monad, so <a>IO</a> actions can be combined using
--   either the do-notation or the <tt>&gt;&gt;</tt> and <tt>&gt;&gt;=</tt>
--   operations from the <tt>Monad</tt> class.
data IO a :: * -> *
fixIO :: (a -> IO a) -> IO a

-- | File and directory names are values of type <a>String</a>, whose
--   precise meaning is operating system dependent. Files can be opened,
--   yielding a handle which can then be used to operate on the contents of
--   that file.
type FilePath = String

-- | Haskell defines operations to read and write characters from and to
--   files, represented by values of type <tt>Handle</tt>. Each value of
--   this type is a <i>handle</i>: a record used by the Haskell run-time
--   system to <i>manage</i> I/O with file system objects. A handle has at
--   least the following properties:
--   
--   <ul>
--   <li>whether it manages input or output or both;</li>
--   <li>whether it is <i>open</i>, <i>closed</i> or
--   <i>semi-closed</i>;</li>
--   <li>whether the object is seekable;</li>
--   <li>whether buffering is disabled, or enabled on a line or block
--   basis;</li>
--   <li>a buffer (whose length may be zero).</li>
--   </ul>
--   
--   Most handles will also have a current I/O position indicating where
--   the next input or output operation will occur. A handle is
--   <i>readable</i> if it manages only input or both input and output;
--   likewise, it is <i>writable</i> if it manages only output or both
--   input and output. A handle is <i>open</i> when first allocated. Once
--   it is closed it can no longer be used for either input or output,
--   though an implementation cannot re-use its storage while references
--   remain to it. Handles are in the <a>Show</a> and <a>Eq</a> classes.
--   The string produced by showing a handle is system dependent; it should
--   include enough information to identify the handle for debugging. A
--   handle is equal according to <a>==</a> only to itself; no attempt is
--   made to compare the internal state of different handles for equality.
data Handle :: *

-- | A handle managing input from the Haskell program's standard input
--   channel.
stdin :: Handle

-- | A handle managing output to the Haskell program's standard output
--   channel.
stdout :: Handle

-- | A handle managing output to the Haskell program's standard error
--   channel.
stderr :: Handle

-- | <tt><a>withFile</a> name mode act</tt> opens a file using
--   <a>openFile</a> and passes the resulting handle to the computation
--   <tt>act</tt>. The handle will be closed on exit from <a>withFile</a>,
--   whether by normal termination or by raising an exception. If closing
--   the handle raises an exception, then this exception will be raised by
--   <a>withFile</a> rather than any exception raised by <tt>act</tt>.
withFile :: FilePath -> IOMode -> (Handle -> IO r) -> IO r

-- | Computation <a>openFile</a> <tt>file mode</tt> allocates and returns a
--   new, open handle to manage the file <tt>file</tt>. It manages input if
--   <tt>mode</tt> is <a>ReadMode</a>, output if <tt>mode</tt> is
--   <a>WriteMode</a> or <a>AppendMode</a>, and both input and output if
--   mode is <a>ReadWriteMode</a>.
--   
--   If the file does not exist and it is opened for output, it should be
--   created as a new file. If <tt>mode</tt> is <a>WriteMode</a> and the
--   file already exists, then it should be truncated to zero length. Some
--   operating systems delete empty files, so there is no guarantee that
--   the file will exist following an <a>openFile</a> with <tt>mode</tt>
--   <a>WriteMode</a> unless it is subsequently written to successfully.
--   The handle is positioned at the end of the file if <tt>mode</tt> is
--   <a>AppendMode</a>, and otherwise at the beginning (in which case its
--   internal position is 0). The initial buffer mode is
--   implementation-dependent.
--   
--   This operation may fail with:
--   
--   <ul>
--   <li><tt>isAlreadyInUseError</tt> if the file is already open and
--   cannot be reopened;</li>
--   <li><tt>isDoesNotExistError</tt> if the file does not exist; or</li>
--   <li><tt>isPermissionError</tt> if the user does not have permission to
--   open the file.</li>
--   </ul>
openFile :: FilePath -> IOMode -> IO Handle

-- | See <a>openFile</a>
data IOMode :: *
ReadMode :: IOMode
WriteMode :: IOMode
AppendMode :: IOMode
ReadWriteMode :: IOMode

-- | Computation <a>hClose</a> <tt>hdl</tt> makes handle <tt>hdl</tt>
--   closed. Before the computation finishes, if <tt>hdl</tt> is writable
--   its buffer is flushed as for <a>hFlush</a>. Performing <a>hClose</a>
--   on a handle that has already been closed has no effect; doing so is
--   not an error. All other operations on a closed handle will fail. If
--   <a>hClose</a> fails for any reason, any further operations (apart from
--   <a>hClose</a>) on the handle will still fail as if <tt>hdl</tt> had
--   been successfully closed.
hClose :: Handle -> IO ()

-- | The <a>readFile</a> function reads a file and returns the contents of
--   the file as a string. The file is read lazily, on demand, as with
--   <a>getContents</a>.
readFile :: FilePath -> IO String

-- | The computation <a>writeFile</a> <tt>file str</tt> function writes the
--   string <tt>str</tt>, to the file <tt>file</tt>.
writeFile :: FilePath -> String -> IO ()

-- | The computation <a>appendFile</a> <tt>file str</tt> function appends
--   the string <tt>str</tt>, to the file <tt>file</tt>.
--   
--   Note that <a>writeFile</a> and <a>appendFile</a> write a literal
--   string to a file. To write a value of any printable type, as with
--   <a>print</a>, use the <a>show</a> function to convert the value to a
--   string first.
--   
--   <pre>
--   main = appendFile "squares" (show [(x,x*x) | x &lt;- [0,0.1..2]])
--   </pre>
appendFile :: FilePath -> String -> IO ()

-- | For a handle <tt>hdl</tt> which attached to a physical file,
--   <a>hFileSize</a> <tt>hdl</tt> returns the size of that file in 8-bit
--   bytes.
hFileSize :: Handle -> IO Integer

-- | <a>hSetFileSize</a> <tt>hdl</tt> <tt>size</tt> truncates the physical
--   file with handle <tt>hdl</tt> to <tt>size</tt> bytes.
hSetFileSize :: Handle -> Integer -> IO ()

-- | For a readable handle <tt>hdl</tt>, <a>hIsEOF</a> <tt>hdl</tt> returns
--   <a>True</a> if no further input can be taken from <tt>hdl</tt> or for
--   a physical file, if the current I/O position is equal to the length of
--   the file. Otherwise, it returns <a>False</a>.
--   
--   NOTE: <a>hIsEOF</a> may block, because it has to attempt to read from
--   the stream to determine whether there is any more data to be read.
hIsEOF :: Handle -> IO Bool

-- | The computation <a>isEOF</a> is identical to <a>hIsEOF</a>, except
--   that it works only on <a>stdin</a>.
isEOF :: IO Bool

-- | Three kinds of buffering are supported: line-buffering,
--   block-buffering or no-buffering. These modes have the following
--   effects. For output, items are written out, or <i>flushed</i>, from
--   the internal buffer according to the buffer mode:
--   
--   <ul>
--   <li><i>line-buffering</i>: the entire output buffer is flushed
--   whenever a newline is output, the buffer overflows, a <a>hFlush</a> is
--   issued, or the handle is closed.</li>
--   <li><i>block-buffering</i>: the entire buffer is written out whenever
--   it overflows, a <a>hFlush</a> is issued, or the handle is closed.</li>
--   <li><i>no-buffering</i>: output is written immediately, and never
--   stored in the buffer.</li>
--   </ul>
--   
--   An implementation is free to flush the buffer more frequently, but not
--   less frequently, than specified above. The output buffer is emptied as
--   soon as it has been written out.
--   
--   Similarly, input occurs according to the buffer mode for the handle:
--   
--   <ul>
--   <li><i>line-buffering</i>: when the buffer for the handle is not
--   empty, the next item is obtained from the buffer; otherwise, when the
--   buffer is empty, characters up to and including the next newline
--   character are read into the buffer. No characters are available until
--   the newline character is available or the buffer is full.</li>
--   <li><i>block-buffering</i>: when the buffer for the handle becomes
--   empty, the next block of data is read into the buffer.</li>
--   <li><i>no-buffering</i>: the next input item is read and returned. The
--   <a>hLookAhead</a> operation implies that even a no-buffered handle may
--   require a one-character buffer.</li>
--   </ul>
--   
--   The default buffering mode when a handle is opened is
--   implementation-dependent and may depend on the file system object
--   which is attached to that handle. For most implementations, physical
--   files will normally be block-buffered and terminals will normally be
--   line-buffered.
data BufferMode :: *

-- | buffering is disabled if possible.
NoBuffering :: BufferMode

-- | line-buffering should be enabled if possible.
LineBuffering :: BufferMode

-- | block-buffering should be enabled if possible. The size of the buffer
--   is <tt>n</tt> items if the argument is <a>Just</a> <tt>n</tt> and is
--   otherwise implementation-dependent.
BlockBuffering :: Maybe Int -> BufferMode

-- | Computation <a>hSetBuffering</a> <tt>hdl mode</tt> sets the mode of
--   buffering for handle <tt>hdl</tt> on subsequent reads and writes.
--   
--   If the buffer mode is changed from <a>BlockBuffering</a> or
--   <a>LineBuffering</a> to <a>NoBuffering</a>, then
--   
--   <ul>
--   <li>if <tt>hdl</tt> is writable, the buffer is flushed as for
--   <a>hFlush</a>;</li>
--   <li>if <tt>hdl</tt> is not writable, the contents of the buffer is
--   discarded.</li>
--   </ul>
--   
--   This operation may fail with:
--   
--   <ul>
--   <li><tt>isPermissionError</tt> if the handle has already been used for
--   reading or writing and the implementation does not allow the buffering
--   mode to be changed.</li>
--   </ul>
hSetBuffering :: Handle -> BufferMode -> IO ()

-- | Computation <a>hGetBuffering</a> <tt>hdl</tt> returns the current
--   buffering mode for <tt>hdl</tt>.
hGetBuffering :: Handle -> IO BufferMode

-- | The action <a>hFlush</a> <tt>hdl</tt> causes any items buffered for
--   output in handle <tt>hdl</tt> to be sent immediately to the operating
--   system.
--   
--   This operation may fail with:
--   
--   <ul>
--   <li><tt>isFullError</tt> if the device is full;</li>
--   <li><tt>isPermissionError</tt> if a system resource limit would be
--   exceeded. It is unspecified whether the characters in the buffer are
--   discarded or retained under these circumstances.</li>
--   </ul>
hFlush :: Handle -> IO ()

-- | Computation <a>hGetPosn</a> <tt>hdl</tt> returns the current I/O
--   position of <tt>hdl</tt> as a value of the abstract type
--   <a>HandlePosn</a>.
hGetPosn :: Handle -> IO HandlePosn

-- | If a call to <a>hGetPosn</a> <tt>hdl</tt> returns a position
--   <tt>p</tt>, then computation <a>hSetPosn</a> <tt>p</tt> sets the
--   position of <tt>hdl</tt> to the position it held at the time of the
--   call to <a>hGetPosn</a>.
--   
--   This operation may fail with:
--   
--   <ul>
--   <li><tt>isPermissionError</tt> if a system resource limit would be
--   exceeded.</li>
--   </ul>
hSetPosn :: HandlePosn -> IO ()
data HandlePosn :: *

-- | Computation <a>hSeek</a> <tt>hdl mode i</tt> sets the position of
--   handle <tt>hdl</tt> depending on <tt>mode</tt>. The offset <tt>i</tt>
--   is given in terms of 8-bit bytes.
--   
--   If <tt>hdl</tt> is block- or line-buffered, then seeking to a position
--   which is not in the current buffer will first cause any items in the
--   output buffer to be written to the device, and then cause the input
--   buffer to be discarded. Some handles may not be seekable (see
--   <a>hIsSeekable</a>), or only support a subset of the possible
--   positioning operations (for instance, it may only be possible to seek
--   to the end of a tape, or to a positive offset from the beginning or
--   current position). It is not possible to set a negative I/O position,
--   or for a physical file, an I/O position beyond the current
--   end-of-file.
--   
--   This operation may fail with:
--   
--   <ul>
--   <li><tt>isIllegalOperationError</tt> if the Handle is not seekable, or
--   does not support the requested seek mode.</li>
--   <li><tt>isPermissionError</tt> if a system resource limit would be
--   exceeded.</li>
--   </ul>
hSeek :: Handle -> SeekMode -> Integer -> IO ()

-- | A mode that determines the effect of <tt>hSeek</tt> <tt>hdl mode
--   i</tt>.
data SeekMode :: *

-- | the position of <tt>hdl</tt> is set to <tt>i</tt>.
AbsoluteSeek :: SeekMode

-- | the position of <tt>hdl</tt> is set to offset <tt>i</tt> from the
--   current position.
RelativeSeek :: SeekMode

-- | the position of <tt>hdl</tt> is set to offset <tt>i</tt> from the end
--   of the file.
SeekFromEnd :: SeekMode

-- | Computation <a>hTell</a> <tt>hdl</tt> returns the current position of
--   the handle <tt>hdl</tt>, as the number of bytes from the beginning of
--   the file. The value returned may be subsequently passed to
--   <a>hSeek</a> to reposition the handle to the current position.
--   
--   This operation may fail with:
--   
--   <ul>
--   <li><tt>isIllegalOperationError</tt> if the Handle is not
--   seekable.</li>
--   </ul>
hTell :: Handle -> IO Integer
hIsOpen :: Handle -> IO Bool
hIsClosed :: Handle -> IO Bool
hIsReadable :: Handle -> IO Bool
hIsWritable :: Handle -> IO Bool
hIsSeekable :: Handle -> IO Bool

-- | Is the handle connected to a terminal?
hIsTerminalDevice :: Handle -> IO Bool

-- | Set the echoing status of a handle connected to a terminal.
hSetEcho :: Handle -> Bool -> IO ()

-- | Get the echoing status of a handle connected to a terminal.
hGetEcho :: Handle -> IO Bool

-- | <a>hShow</a> is in the <a>IO</a> monad, and gives more comprehensive
--   output than the (pure) instance of <a>Show</a> for <a>Handle</a>.
hShow :: Handle -> IO String

-- | Computation <a>hWaitForInput</a> <tt>hdl t</tt> waits until input is
--   available on handle <tt>hdl</tt>. It returns <a>True</a> as soon as
--   input is available on <tt>hdl</tt>, or <a>False</a> if no input is
--   available within <tt>t</tt> milliseconds. Note that
--   <a>hWaitForInput</a> waits until one or more full <i>characters</i>
--   are available, which means that it needs to do decoding, and hence may
--   fail with a decoding error.
--   
--   If <tt>t</tt> is less than zero, then <tt>hWaitForInput</tt> waits
--   indefinitely.
--   
--   This operation may fail with:
--   
--   <ul>
--   <li><tt>isEOFError</tt> if the end of file has been reached.</li>
--   <li>a decoding error, if the input begins with an invalid byte
--   sequence in this Handle's encoding.</li>
--   </ul>
hWaitForInput :: Handle -> Int -> IO Bool

-- | Computation <a>hReady</a> <tt>hdl</tt> indicates whether at least one
--   item is available for input from handle <tt>hdl</tt>.
--   
--   This operation may fail with:
--   
--   <ul>
--   <li><a>isEOFError</a> if the end of file has been reached.</li>
--   </ul>
hReady :: Handle -> IO Bool

-- | Computation <a>hGetChar</a> <tt>hdl</tt> reads a character from the
--   file or channel managed by <tt>hdl</tt>, blocking until a character is
--   available.
--   
--   This operation may fail with:
--   
--   <ul>
--   <li><a>isEOFError</a> if the end of file has been reached.</li>
--   </ul>
hGetChar :: Handle -> IO Char

-- | Computation <a>hGetLine</a> <tt>hdl</tt> reads a line from the file or
--   channel managed by <tt>hdl</tt>.
--   
--   This operation may fail with:
--   
--   <ul>
--   <li><a>isEOFError</a> if the end of file is encountered when reading
--   the <i>first</i> character of the line.</li>
--   </ul>
--   
--   If <a>hGetLine</a> encounters end-of-file at any other point while
--   reading in a line, it is treated as a line terminator and the
--   (partial) line is returned.
hGetLine :: Handle -> IO String

-- | Computation <a>hLookAhead</a> returns the next character from the
--   handle without removing it from the input buffer, blocking until a
--   character is available.
--   
--   This operation may fail with:
--   
--   <ul>
--   <li><tt>isEOFError</tt> if the end of file has been reached.</li>
--   </ul>
hLookAhead :: Handle -> IO Char

-- | Computation <a>hGetContents</a> <tt>hdl</tt> returns the list of
--   characters corresponding to the unread portion of the channel or file
--   managed by <tt>hdl</tt>, which is put into an intermediate state,
--   <i>semi-closed</i>. In this state, <tt>hdl</tt> is effectively closed,
--   but items are read from <tt>hdl</tt> on demand and accumulated in a
--   special list returned by <a>hGetContents</a> <tt>hdl</tt>.
--   
--   Any operation that fails because a handle is closed, also fails if a
--   handle is semi-closed. The only exception is <tt>hClose</tt>. A
--   semi-closed handle becomes closed:
--   
--   <ul>
--   <li>if <tt>hClose</tt> is applied to it;</li>
--   <li>if an I/O error occurs when reading an item from the handle;</li>
--   <li>or once the entire contents of the handle has been read.</li>
--   </ul>
--   
--   Once a semi-closed handle becomes closed, the contents of the
--   associated list becomes fixed. The contents of this final list is only
--   partially specified: it will contain at least all the items of the
--   stream that were evaluated prior to the handle becoming closed.
--   
--   Any I/O errors encountered while a handle is semi-closed are simply
--   discarded.
--   
--   This operation may fail with:
--   
--   <ul>
--   <li><a>isEOFError</a> if the end of file has been reached.</li>
--   </ul>
hGetContents :: Handle -> IO String

-- | Computation <a>hPutChar</a> <tt>hdl ch</tt> writes the character
--   <tt>ch</tt> to the file or channel managed by <tt>hdl</tt>. Characters
--   may be buffered if buffering is enabled for <tt>hdl</tt>.
--   
--   This operation may fail with:
--   
--   <ul>
--   <li><a>isFullError</a> if the device is full; or</li>
--   <li><a>isPermissionError</a> if another system resource limit would be
--   exceeded.</li>
--   </ul>
hPutChar :: Handle -> Char -> IO ()

-- | Computation <a>hPutStr</a> <tt>hdl s</tt> writes the string <tt>s</tt>
--   to the file or channel managed by <tt>hdl</tt>.
--   
--   This operation may fail with:
--   
--   <ul>
--   <li><a>isFullError</a> if the device is full; or</li>
--   <li><a>isPermissionError</a> if another system resource limit would be
--   exceeded.</li>
--   </ul>
hPutStr :: Handle -> String -> IO ()

-- | The same as <a>hPutStr</a>, but adds a newline character.
hPutStrLn :: Handle -> String -> IO ()

-- | Computation <a>hPrint</a> <tt>hdl t</tt> writes the string
--   representation of <tt>t</tt> given by the <a>shows</a> function to the
--   file or channel managed by <tt>hdl</tt> and appends a newline.
--   
--   This operation may fail with:
--   
--   <ul>
--   <li><a>isFullError</a> if the device is full; or</li>
--   <li><a>isPermissionError</a> if another system resource limit would be
--   exceeded.</li>
--   </ul>
hPrint :: Show a => Handle -> a -> IO ()

-- | The <a>interact</a> function takes a function of type
--   <tt>String-&gt;String</tt> as its argument. The entire input from the
--   standard input device is passed to this function as its argument, and
--   the resulting string is output on the standard output device.
interact :: (String -> String) -> IO ()

-- | Write a character to the standard output device (same as
--   <a>hPutChar</a> <a>stdout</a>).
putChar :: Char -> IO ()

-- | Write a string to the standard output device (same as <a>hPutStr</a>
--   <a>stdout</a>).
putStr :: String -> IO ()

-- | The same as <a>putStr</a>, but adds a newline character.
putStrLn :: String -> IO ()

-- | The <a>print</a> function outputs a value of any printable type to the
--   standard output device. Printable types are those that are instances
--   of class <a>Show</a>; <a>print</a> converts values to strings for
--   output using the <a>show</a> operation and adds a newline.
--   
--   For example, a program to print the first 20 integers and their powers
--   of 2 could be written as:
--   
--   <pre>
--   main = print ([(n, 2^n) | n &lt;- [0..19]])
--   </pre>
print :: Show a => a -> IO ()

-- | Read a character from the standard input device (same as
--   <a>hGetChar</a> <a>stdin</a>).
getChar :: IO Char

-- | Read a line from the standard input device (same as <a>hGetLine</a>
--   <a>stdin</a>).
getLine :: IO String

-- | The <a>getContents</a> operation returns all user input as a single
--   string, which is read lazily as it is needed (same as
--   <a>hGetContents</a> <a>stdin</a>).
getContents :: IO String

-- | The <a>readIO</a> function is similar to <a>read</a> except that it
--   signals parse failure to the <a>IO</a> monad instead of terminating
--   the program.
readIO :: Read a => String -> IO a

-- | The <a>readLn</a> function combines <a>getLine</a> and <a>readIO</a>.
readLn :: Read a => IO a

module Data.Array

-- | The type of immutable non-strict (boxed) arrays with indices in
--   <tt>i</tt> and elements in <tt>e</tt>.
data Array i e :: * -> * -> *

-- | Construct an array with the specified bounds and containing values for
--   given indices within these bounds.
--   
--   The array is undefined (i.e. bottom) if any index in the list is out
--   of bounds. If any two associations in the list have the same index,
--   the value at that index is undefined (i.e. bottom).
--   
--   Because the indices must be checked for these errors, <a>array</a> is
--   strict in the bounds argument and in the indices of the association
--   list, but non-strict in the values. Thus, recurrences such as the
--   following are possible:
--   
--   <pre>
--   a = array (1,100) ((1,1) : [(i, i * a!(i-1)) | i &lt;- [2..100]])
--   </pre>
--   
--   Not every index within the bounds of the array need appear in the
--   association list, but the values associated with indices that do not
--   appear will be undefined (i.e. bottom).
--   
--   If, in any dimension, the lower bound is greater than the upper bound,
--   then the array is legal, but empty. Indexing an empty array always
--   gives an array-bounds error, but <a>bounds</a> still yields the bounds
--   with which the array was constructed.
array :: Ix i => (i, i) -> [(i, e)] -> Array i e

-- | Construct an array from a pair of bounds and a list of values in index
--   order.
listArray :: Ix i => (i, i) -> [e] -> Array i e

-- | The <a>accumArray</a> function deals with repeated indices in the
--   association list using an <i>accumulating function</i> which combines
--   the values of associations with the same index. For example, given a
--   list of values of some index type, <tt>hist</tt> produces a histogram
--   of the number of occurrences of each index within a specified range:
--   
--   <pre>
--   hist :: (Ix a, Num b) =&gt; (a,a) -&gt; [a] -&gt; Array a b
--   hist bnds is = accumArray (+) 0 bnds [(i, 1) | i&lt;-is, inRange bnds i]
--   </pre>
--   
--   If the accumulating function is strict, then <a>accumArray</a> is
--   strict in the values, as well as the indices, in the association list.
--   Thus, unlike ordinary arrays built with <a>array</a>, accumulated
--   arrays should not in general be recursive.
accumArray :: Ix i => (e -> a -> e) -> e -> (i, i) -> [(i, a)] -> Array i e

-- | The value at the given index in an array.
(!) :: Ix i => Array i e -> i -> e

-- | The bounds with which an array was constructed.
bounds :: Ix i => Array i e -> (i, i)

-- | The list of indices of an array in ascending order.
indices :: Ix i => Array i e -> [i]

-- | The list of elements of an array in index order.
elems :: Ix i => Array i e -> [e]

-- | The list of associations of an array in index order.
assocs :: Ix i => Array i e -> [(i, e)]

-- | Constructs an array identical to the first argument except that it has
--   been updated by the associations in the right argument. For example,
--   if <tt>m</tt> is a 1-origin, <tt>n</tt> by <tt>n</tt> matrix, then
--   
--   <pre>
--   m//[((i,i), 0) | i &lt;- [1..n]]
--   </pre>
--   
--   is the same matrix, except with the diagonal zeroed.
--   
--   Repeated indices in the association list are handled as for
--   <a>array</a>: the resulting array is undefined (i.e. bottom),
(//) :: Ix i => Array i e -> [(i, e)] -> Array i e

-- | <tt><a>accum</a> f</tt> takes an array and an association list and
--   accumulates pairs from the list into the array with the accumulating
--   function <tt>f</tt>. Thus <a>accumArray</a> can be defined using
--   <a>accum</a>:
--   
--   <pre>
--   accumArray f z b = accum f (array b [(i, z) | i &lt;- range b])
--   </pre>
accum :: Ix i => (e -> a -> e) -> Array i e -> [(i, a)] -> Array i e

-- | <a>ixmap</a> allows for transformations on array indices. It may be
--   thought of as providing function composition on the right with the
--   mapping that the original array embodies.
--   
--   A similar transformation of array values may be achieved using
--   <a>fmap</a> from the <a>Array</a> instance of the <a>Functor</a>
--   class.
ixmap :: (Ix i, Ix j) => (i, i) -> (i -> j) -> Array j e -> Array i e
