Stability | experimental |
---|---|
Safe Haskell | Safe |
Language | Haskell2010 |
Control.Monad.Except.CoHas
Description
This module defines a class CoHas
intended to be used with the MonadError
class
(and similar ones) or Except
/ ExceptT
types.
The problem
Assume there are several types representing the possible errors in different parts of an application:
data DbError = ... data WebUIError = ...
as well as a single sum type containing all of those:
data AppError = AppDbError DbError | AppWebUIError WebUIError
What should be the MonadError
constraint of the DB module and web module respectively?
- It could be
MonadError AppError m
for both, introducing unnecessary coupling. - Or it could be
MonadError DbError m
for the DB module andMonadError WebError m
for the web module respectively, but combining them becomes a pain.
Or, it could be MonadError e m, CoHas AppError e
for the DB module (and similarly for the web module),
where some appropriately defined CoHas option sum
class allows injecting option
creating a value of the sum
type.
This approach keeps both modules decoupled, while allowing using them in the same monad stack.
The only downside is that now one has to define the CoHas
class
and write tedious instances for the AppError
type (and potentially other types in case of, for example, tests).
But why bother doing the work that the machine will happily do for you?
The solution
This module defines the generic CoHas
class as well as hides all the boilerplate behind GHC.Generics,
so all you have to do is to add the corresponding deriving
-clause:
data AppError = AppDbError DbError | AppWebUIError WebUIError deriving (Generic, CoHas DbError, CoHas WebUIError)
and use throwError . inject
instead of throwError
(but this is something you'd have to do anyway).
Type safety
What should happen if sum
does not have any way to construct it from option
at all?
Of course, this means that we cannot inject option
into sum
, and no CoHas
instance can be derived at all.
Indeed, this library will refuse to generate an instance in this case.
On the other hand, what should happen if sum
contains multiple values of type option
(like Either option option
), perhaps on different levels of nesting?
While technically we could make an arbitrary choice, like taking the first one in breadth-first or depth-first order,
we instead decide that such a choice is inherently ambiguous,
so this library will refuse to generate an instance in this case as well.
Exports
This module also reexports Except
along with some functions like throwError
or liftEither
with types adjusted for the intended usage of the CoHas
class.
Synopsis
- class CoHas option sum where
- inject :: option -> sum
- type SuccessfulSearch option sum path = (Search option (Rep sum) ~ 'Found path, GCoHas path option (Rep sum))
- guard :: Alternative f => Bool -> f ()
- join :: Monad m => m (m a) -> m a
- class Applicative m => Monad (m :: Type -> Type) where
- class Functor (f :: Type -> Type) where
- class Monad m => MonadFix (m :: Type -> Type) where
- mfix :: (a -> m a) -> m a
- class Monad m => MonadFail (m :: Type -> Type) where
- mapM :: (Traversable t, Monad m) => (a -> m b) -> t a -> m (t b)
- sequence :: (Traversable t, Monad m) => t (m a) -> m (t a)
- class Monad m => MonadIO (m :: Type -> Type) where
- zipWithM_ :: Applicative m => (a -> b -> m c) -> [a] -> [b] -> m ()
- zipWithM :: Applicative m => (a -> b -> m c) -> [a] -> [b] -> m [c]
- unless :: Applicative f => Bool -> f () -> f ()
- replicateM_ :: Applicative m => Int -> m a -> m ()
- replicateM :: Applicative m => Int -> m a -> m [a]
- mfilter :: MonadPlus m => (a -> Bool) -> m a -> m a
- mapAndUnzipM :: Applicative m => (a -> m (b, c)) -> [a] -> m ([b], [c])
- forever :: Applicative f => f a -> f b
- foldM_ :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m ()
- foldM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b
- filterM :: Applicative m => (a -> m Bool) -> [a] -> m [a]
- (>=>) :: Monad m => (a -> m b) -> (b -> m c) -> a -> m c
- (<=<) :: Monad m => (b -> m c) -> (a -> m b) -> a -> m c
- (<$!>) :: Monad m => (a -> b) -> m a -> m b
- forM :: (Traversable t, Monad m) => t a -> (a -> m b) -> m (t b)
- sequence_ :: (Foldable t, Monad m) => t (m a) -> m ()
- msum :: (Foldable t, MonadPlus m) => t (m a) -> m a
- mapM_ :: (Foldable t, Monad m) => (a -> m b) -> t a -> m ()
- forM_ :: (Foldable t, Monad m) => t a -> (a -> m b) -> m ()
- fix :: (a -> a) -> a
- void :: Functor f => f a -> f ()
- class (Alternative m, Monad m) => MonadPlus (m :: Type -> Type) where
- when :: Applicative f => Bool -> f () -> f ()
- liftM5 :: Monad m => (a1 -> a2 -> a3 -> a4 -> a5 -> r) -> m a1 -> m a2 -> m a3 -> m a4 -> m a5 -> m r
- liftM4 :: Monad m => (a1 -> a2 -> a3 -> a4 -> r) -> m a1 -> m a2 -> m a3 -> m a4 -> m r
- liftM3 :: Monad m => (a1 -> a2 -> a3 -> r) -> m a1 -> m a2 -> m a3 -> m r
- liftM2 :: Monad m => (a1 -> a2 -> r) -> m a1 -> m a2 -> m r
- liftM :: Monad m => (a1 -> r) -> m a1 -> m r
- ap :: Monad m => m (a -> b) -> m a -> m b
- (=<<) :: Monad m => (a -> m b) -> m a -> m b
- class MonadTrans (t :: (Type -> Type) -> Type -> Type) where
- class Monad m => MonadError e (m :: Type -> Type) | m -> e where
- catchError :: m a -> (e -> m a) -> m a
- mapExcept :: (Either e a -> Either e' b) -> Except e a -> Except e' b
- mapExceptT :: (m (Either e a) -> n (Either e' b)) -> ExceptT e m a -> ExceptT e' n b
- runExcept :: Except e a -> Either e a
- runExceptT :: ExceptT e m a -> m (Either e a)
- withExcept :: (e -> e') -> Except e a -> Except e' a
- withExceptT :: forall (m :: Type -> Type) e e' a. Functor m => (e -> e') -> ExceptT e m a -> ExceptT e' m a
- type Except e = ExceptT e Identity
- newtype ExceptT e (m :: Type -> Type) a = ExceptT (m (Either e a))
- throwError :: (MonadError error m, CoHas option error) => option -> m a
- liftEither :: (MonadError error m, CoHas option error) => Either option a -> m a
- liftMaybe :: (MonadError error m, CoHas option error) => option -> Maybe a -> m a
Documentation
class CoHas option sum where Source #
The CoHas option sum
class is used for sum types that could be created from a value of type option
.
Minimal complete definition
Nothing
Methods
inject :: option -> sum Source #
Inject an option
into the sum
type.
The default implementation searches sum
for some constructor
that's compatible with option
and creates sum
using that constructor.
The default implementation typechecks iff there is a single matching constructor.
default inject :: forall path. (Generic sum, SuccessfulSearch option sum path) => option -> sum Source #
Instances
CoHas sum sum Source # | Each type can be injected into itself (and that is an |
Defined in Control.Monad.Except.CoHas | |
SuccessfulSearch a (Either l r) path => CoHas a (Either l r) Source # | |
Defined in Control.Monad.Except.CoHas |
type SuccessfulSearch option sum path = (Search option (Rep sum) ~ 'Found path, GCoHas path option (Rep sum)) Source #
Type alias representing that the search of option
in sum
has been successful.
The path
is used to guide the default generic implementation of CoHas
.
guard :: Alternative f => Bool -> f () #
Conditional failure of Alternative
computations. Defined by
guard True =pure
() guard False =empty
Examples
Common uses of guard
include conditionally signaling an error in
an error monad and conditionally rejecting the current choice in an
Alternative
-based parser.
As an example of signaling an error in the error monad Maybe
,
consider a safe division function safeDiv x y
that returns
Nothing
when the denominator y
is zero and
otherwise. For example:Just
(x `div`
y)
>>>
safeDiv 4 0
Nothing
>>>
safeDiv 4 2
Just 2
A definition of safeDiv
using guards, but not guard
:
safeDiv :: Int -> Int -> Maybe Int safeDiv x y | y /= 0 = Just (x `div` y) | otherwise = Nothing
A definition of safeDiv
using guard
and Monad
do
-notation:
safeDiv :: Int -> Int -> Maybe Int safeDiv x y = do guard (y /= 0) return (x `div` y)
join :: Monad m => m (m a) -> m a #
The join
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.
'
' can be understood as the join
bssdo
expression
do bs <- bss bs
Examples
A common use of join
is to run an IO
computation returned from
an STM
transaction, since STM
transactions
can't perform IO
directly. Recall that
atomically
:: STM a -> IO a
is used to run STM
transactions atomically. So, by
specializing the types of atomically
and join
to
atomically
:: STM (IO b) -> IO (IO b)join
:: IO (IO b) -> IO b
we can compose them as
join
.atomically
:: STM (IO b) -> IO b
class Applicative m => Monad (m :: Type -> Type) where #
The Monad
class defines the basic operations over a monad,
a concept from a branch of mathematics known as category theory.
From the perspective of a Haskell programmer, however, it is best to
think of a monad as an abstract datatype of actions.
Haskell's do
expressions provide a convenient syntax for writing
monadic expressions.
Instances of Monad
should satisfy the following:
- Left identity
return
a>>=
k = k a- Right identity
m
>>=
return
= m- Associativity
m
>>=
(\x -> k x>>=
h) = (m>>=
k)>>=
h
Furthermore, the Monad
and Applicative
operations should relate as follows:
The above laws imply:
and that pure
and (<*>
) satisfy the applicative functor laws.
The instances of Monad
for lists, Maybe
and IO
defined in the Prelude satisfy these laws.
Minimal complete definition
Methods
(>>=) :: m a -> (a -> m b) -> m b infixl 1 #
Sequentially compose two actions, passing any value produced by the first as an argument to the second.
'as
' can be understood as the >>=
bsdo
expression
do a <- as bs a
(>>) :: m a -> m b -> m b infixl 1 #
Sequentially compose two actions, discarding any value produced by the first, like sequencing operators (such as the semicolon) in imperative languages.
'as
' can be understood as the >>
bsdo
expression
do as bs
Inject a value into the monadic type.
Instances
Monad Down | Since: base-4.11.0.0 |
Monad Par1 | Since: base-4.9.0.0 |
Monad P | Since: base-2.1 |
Monad ReadP | Since: base-2.1 |
Monad IO | Since: base-2.1 |
Monad NonEmpty | Since: base-4.9.0.0 |
Monad Maybe | Since: base-2.1 |
Monad Solo | Since: base-4.15 |
Monad [] | Since: base-2.1 |
Monad (Either e) | Since: base-4.4.0.0 |
Monad (Proxy :: Type -> Type) | Since: base-4.7.0.0 |
Monad (U1 :: Type -> Type) | Since: base-4.9.0.0 |
Monad m => Monad (ListT m) | |
Monad m => Monad (MaybeT m) | |
Monoid a => Monad ((,) a) | Since: base-4.9.0.0 |
Monad f => Monad (Rec1 f) | Since: base-4.9.0.0 |
(Monad m, Error e) => Monad (ErrorT e m) | |
Monad m => Monad (ExceptT e m) | |
Monad m => Monad (IdentityT m) | |
Monad m => Monad (ReaderT r m) | |
Monad m => Monad (StateT s m) | |
Monad m => Monad (StateT s m) | |
(Monoid w, Monad m) => Monad (WriterT w m) | |
(Monoid w, Monad m) => Monad (WriterT w m) | |
(Monoid a, Monoid b) => Monad ((,,) a b) | Since: base-4.14.0.0 |
(Monad f, Monad g) => Monad (f :*: g) | Since: base-4.9.0.0 |
Monad (ContT r m) | |
(Monoid a, Monoid b, Monoid c) => Monad ((,,,) a b c) | Since: base-4.14.0.0 |
Monad ((->) r) | Since: base-2.1 |
Monad f => Monad (M1 i c f) | Since: base-4.9.0.0 |
(Monoid w, Monad m) => Monad (RWST r w s m) | |
(Monoid w, Monad m) => Monad (RWST r w s m) | |
class Functor (f :: Type -> Type) where #
A type f
is a Functor if it provides a function fmap
which, given any types a
and b
lets you apply any function from (a -> b)
to turn an f a
into an f b
, preserving the
structure of f
. Furthermore f
needs to adhere to the following:
Note, that the second law follows from the free theorem of the type fmap
and
the first law, so you need only check that the former condition holds.
Minimal complete definition
Methods
fmap :: (a -> b) -> f a -> f b #
fmap
is used to apply a function of type (a -> b)
to a value of type f a
,
where f is a functor, to produce a value of type f b
.
Note that for any type constructor with more than one parameter (e.g., Either
),
only the last type parameter can be modified with fmap
(e.g., b
in `Either a b`).
Some type constructors with two parameters or more have a
instance that allows
both the last and the penultimate parameters to be mapped over.Bifunctor
Examples
Convert from a
to a Maybe
IntMaybe String
using show
:
>>>
fmap show Nothing
Nothing>>>
fmap show (Just 3)
Just "3"
Convert from an
to an
Either
Int IntEither Int String
using show
:
>>>
fmap show (Left 17)
Left 17>>>
fmap show (Right 17)
Right "17"
Double each element of a list:
>>>
fmap (*2) [1,2,3]
[2,4,6]
Apply even
to the second element of a pair:
>>>
fmap even (2,2)
(2,True)
It may seem surprising that the function is only applied to the last element of the tuple
compared to the list example above which applies it to every element in the list.
To understand, remember that tuples are type constructors with multiple type parameters:
a tuple of 3 elements (a,b,c)
can also be written (,,) a b c
and its Functor
instance
is defined for Functor ((,,) a b)
(i.e., only the third parameter is free to be mapped over
with fmap
).
It explains why fmap
can be used with tuples containing values of different types as in the
following example:
>>>
fmap even ("hello", 1.0, 4)
("hello",1.0,True)
Instances
Functor Handler | Since: base-4.6.0.0 |
Functor Down | Since: base-4.11.0.0 |
Functor Par1 | Since: base-4.9.0.0 |
Functor P | Since: base-4.8.0.0 |
Defined in Text.ParserCombinators.ReadP | |
Functor ReadP | Since: base-2.1 |
Functor IO | Since: base-2.1 |
Functor NonEmpty | Since: base-4.9.0.0 |
Functor Maybe | Since: base-2.1 |
Functor Solo | Since: base-4.15 |
Functor [] | Since: base-2.1 |
Functor (Either a) | Since: base-3.0 |
Functor (Proxy :: Type -> Type) | Since: base-4.7.0.0 |
Functor (U1 :: Type -> Type) | Since: base-4.9.0.0 |
Functor (V1 :: TYPE LiftedRep -> Type) | Since: base-4.9.0.0 |
Functor m => Functor (ListT m) | |
Functor m => Functor (MaybeT m) | |
Functor ((,) a) | Since: base-2.1 |
Functor f => Functor (Rec1 f) | Since: base-4.9.0.0 |
Functor (URec (Ptr ()) :: TYPE LiftedRep -> Type) | Since: base-4.9.0.0 |
Functor (URec Char :: TYPE LiftedRep -> Type) | Since: base-4.9.0.0 |
Functor (URec Double :: TYPE LiftedRep -> Type) | Since: base-4.9.0.0 |
Functor (URec Float :: TYPE LiftedRep -> Type) | Since: base-4.9.0.0 |
Functor (URec Int :: TYPE LiftedRep -> Type) | Since: base-4.9.0.0 |
Functor (URec Word :: TYPE LiftedRep -> Type) | Since: base-4.9.0.0 |
Functor m => Functor (ErrorT e m) | |
Functor m => Functor (ExceptT e m) | |
Functor m => Functor (IdentityT m) | |
Functor m => Functor (ReaderT r m) | |
Functor m => Functor (StateT s m) | |
Functor m => Functor (StateT s m) | |
Functor m => Functor (WriterT w m) | |
Functor m => Functor (WriterT w m) | |
Functor ((,,) a b) | Since: base-4.14.0.0 |
(Functor f, Functor g) => Functor (f :*: g) | Since: base-4.9.0.0 |
(Functor f, Functor g) => Functor (f :+: g) | Since: base-4.9.0.0 |
Functor (K1 i c :: TYPE LiftedRep -> Type) | Since: base-4.9.0.0 |
Functor (ContT r m) | |
Functor ((,,,) a b c) | Since: base-4.14.0.0 |
Functor ((->) r) | Since: base-2.1 |
(Functor f, Functor g) => Functor (f :.: g) | Since: base-4.9.0.0 |
Functor f => Functor (M1 i c f) | Since: base-4.9.0.0 |
Functor m => Functor (RWST r w s m) | |
Functor m => Functor (RWST r w s m) | |
class Monad m => MonadFix (m :: Type -> Type) where #
Monads having fixed points with a 'knot-tying' semantics.
Instances of MonadFix
should satisfy the following laws:
- Purity
mfix
(return
. h) =return
(fix
h)- Left shrinking (or Tightening)
mfix
(\x -> a >>= \y -> f x y) = a >>= \y ->mfix
(\x -> f x y)- Sliding
, for strictmfix
(liftM
h . f) =liftM
h (mfix
(f . h))h
.- Nesting
mfix
(\x ->mfix
(\y -> f x y)) =mfix
(\x -> f x x)
This class is used in the translation of the recursive do
notation
supported by GHC and Hugs.
Methods
Instances
class Monad m => MonadFail (m :: Type -> Type) where #
When a value is bound in do
-notation, the pattern on the left
hand side of <-
might not match. In this case, this class
provides a function to recover.
A Monad
without a MonadFail
instance may only be used in conjunction
with pattern that always match, such as newtypes, tuples, data types with
only a single data constructor, and irrefutable patterns (~pat
).
Instances of MonadFail
should satisfy the following law: fail s
should
be a left zero for >>=
,
fail s >>= f = fail s
If your Monad
is also MonadPlus
, a popular definition is
fail _ = mzero
Since: base-4.9.0.0
Instances
mapM :: (Traversable t, Monad m) => (a -> m b) -> t a -> m (t b) #
Map each element of a structure to a monadic action, evaluate
these actions from left to right, and collect the results. For
a version that ignores the results see mapM_
.
Examples
sequence :: (Traversable t, Monad m) => t (m a) -> m (t a) #
Evaluate each monadic action in the structure from left to
right, and collect the results. For a version that ignores the
results see sequence_
.
Examples
Basic usage:
The first two examples are instances where the input and
and output of sequence
are isomorphic.
>>>
sequence $ Right [1,2,3,4]
[Right 1,Right 2,Right 3,Right 4]
>>>
sequence $ [Right 1,Right 2,Right 3,Right 4]
Right [1,2,3,4]
The following examples demonstrate short circuit behavior
for sequence
.
>>>
sequence $ Left [1,2,3,4]
Left [1,2,3,4]
>>>
sequence $ [Left 0, Right 1,Right 2,Right 3,Right 4]
Left 0
class Monad m => MonadIO (m :: Type -> Type) where #
Monads in which IO
computations may be embedded.
Any monad built by applying a sequence of monad transformers to the
IO
monad will be an instance of this class.
Instances should satisfy the following laws, which state that liftIO
is a transformer of monads:
Methods
Lift a computation from the IO
monad.
This allows us to run IO computations in any monadic stack, so long as it supports these kinds of operations
(i.e. IO
is the base monad for the stack).
Example
import Control.Monad.Trans.State -- from the "transformers" library printState :: Show s => StateT s IO () printState = do state <- get liftIO $ print state
Had we omitted
, we would have ended up with this error:liftIO
• Couldn't match type ‘IO’ with ‘StateT s IO’ Expected type: StateT s IO () Actual type: IO ()
The important part here is the mismatch between StateT s IO ()
and
.IO
()
Luckily, we know of a function that takes an
and returns an IO
a(m a)
:
,
enabling us to run the program and see the expected results:liftIO
> evalStateT printState "hello" "hello" > evalStateT printState 3 3
Instances
zipWithM_ :: Applicative m => (a -> b -> m c) -> [a] -> [b] -> m () #
zipWithM :: Applicative m => (a -> b -> m c) -> [a] -> [b] -> m [c] #
unless :: Applicative f => Bool -> f () -> f () #
The reverse of when
.
replicateM_ :: Applicative m => Int -> m a -> m () #
replicateM :: Applicative m => Int -> m a -> m [a] #
performs the action replicateM
n actact
n
times,
and then returns the list of results:
Examples
>>>
import Control.Monad.State
>>>
runState (replicateM 3 $ state $ \s -> (s, s + 1)) 1
([1,2,3],4)
mapAndUnzipM :: Applicative m => (a -> m (b, c)) -> [a] -> m ([b], [c]) #
The mapAndUnzipM
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 monad.
forever :: Applicative f => f a -> f b #
Repeat an action indefinitely.
Examples
A common use of forever
is to process input from network sockets,
Handle
s, and channels
(e.g. MVar
and
Chan
).
For example, here is how we might implement an echo
server, using
forever
both to listen for client connections on a network socket
and to echo client input on client connection handles:
echoServer :: Socket -> IO () echoServer socket =forever
$ do client <- accept socketforkFinally
(echo client) (\_ -> hClose client) where echo :: Handle -> IO () echo client =forever
$ hGetLine client >>= hPutStrLn client
Note that "forever" isn't necessarily non-terminating.
If the action is in a
and short-circuits after some number of iterations.
then MonadPlus
actually returns forever
mzero
, effectively short-circuiting its caller.
foldM_ :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m () #
Like foldM
, but discards the result.
foldM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b #
The foldM
function is analogous to foldl
, except that its result is
encapsulated in a monad. Note that foldM
works from left-to-right over
the list arguments. This could be an issue where (
and the `folded
function' are not commutative.>>
)
foldM f a1 [x1, x2, ..., xm] == do a2 <- f a1 x1 a3 <- f a2 x2 ... f am xm
If right-to-left evaluation is required, the input list should be reversed.
filterM :: Applicative m => (a -> m Bool) -> [a] -> m [a] #
This generalizes the list-based filter
function.
(>=>) :: Monad m => (a -> m b) -> (b -> m c) -> a -> m c infixr 1 #
Left-to-right composition of Kleisli arrows.
'(bs
' can be understood as the >=>
cs) ado
expression
do b <- bs a cs b
forM :: (Traversable t, Monad m) => t a -> (a -> m b) -> m (t b) #
sequence_ :: (Foldable t, Monad m) => t (m a) -> m () #
Evaluate each monadic action in the structure from left to right,
and ignore the results. For a version that doesn't ignore the
results see sequence
.
sequence_
is just like sequenceA_
, but specialised to monadic
actions.
is the least fixed point of the function fix
ff
,
i.e. the least defined x
such that f x = x
.
For example, we can write the factorial function using direct recursion as
>>>
let fac n = if n <= 1 then 1 else n * fac (n-1) in fac 5
120
This uses the fact that Haskell’s let
introduces recursive bindings. We can
rewrite this definition using fix
,
>>>
fix (\rec n -> if n <= 1 then 1 else n * rec (n-1)) 5
120
Instead of making a recursive call, we introduce a dummy parameter rec
;
when used within fix
, this parameter then refers to fix
’s argument, hence
the recursion is reintroduced.
void :: Functor f => f a -> f () #
discards or ignores the result of evaluation, such
as the return value of an void
valueIO
action.
Examples
Replace the contents of a
with unit:Maybe
Int
>>>
void Nothing
Nothing>>>
void (Just 3)
Just ()
Replace the contents of an
with unit, resulting in an Either
Int
Int
:Either
Int
()
>>>
void (Left 8675309)
Left 8675309>>>
void (Right 8675309)
Right ()
Replace every element of a list with unit:
>>>
void [1,2,3]
[(),(),()]
Replace the second element of a pair with unit:
>>>
void (1,2)
(1,())
Discard the result of an IO
action:
>>>
mapM print [1,2]
1 2 [(),()]>>>
void $ mapM print [1,2]
1 2
class (Alternative m, Monad m) => MonadPlus (m :: Type -> Type) where #
Monads that also support choice and failure.
Minimal complete definition
Nothing
Methods
The identity of mplus
. It should also satisfy the equations
mzero >>= f = mzero v >> mzero = mzero
The default definition is
mzero = empty
An associative operation. The default definition is
mplus = (<|>
)
Instances
MonadPlus P | Since: base-2.1 |
Defined in Text.ParserCombinators.ReadP | |
MonadPlus ReadP | Since: base-2.1 |
MonadPlus IO | Since: base-4.9.0.0 |
MonadPlus Maybe | Since: base-2.1 |
MonadPlus [] | Since: base-2.1 |
MonadPlus (Proxy :: Type -> Type) | Since: base-4.9.0.0 |
MonadPlus (U1 :: Type -> Type) | Since: base-4.9.0.0 |
Monad m => MonadPlus (ListT m) | |
Monad m => MonadPlus (MaybeT m) | |
MonadPlus f => MonadPlus (Rec1 f) | Since: base-4.9.0.0 |
(Monad m, Error e) => MonadPlus (ErrorT e m) | |
(Monad m, Monoid e) => MonadPlus (ExceptT e m) | |
MonadPlus m => MonadPlus (IdentityT m) | |
MonadPlus m => MonadPlus (ReaderT r m) | |
MonadPlus m => MonadPlus (StateT s m) | |
MonadPlus m => MonadPlus (StateT s m) | |
(Monoid w, MonadPlus m) => MonadPlus (WriterT w m) | |
(Monoid w, MonadPlus m) => MonadPlus (WriterT w m) | |
(MonadPlus f, MonadPlus g) => MonadPlus (f :*: g) | Since: base-4.9.0.0 |
MonadPlus f => MonadPlus (M1 i c f) | Since: base-4.9.0.0 |
(Monoid w, MonadPlus m) => MonadPlus (RWST r w s m) | |
(Monoid w, MonadPlus m) => MonadPlus (RWST r w s m) | |
when :: Applicative f => Bool -> f () -> f () #
Conditional execution of Applicative
expressions. For example,
when debug (putStrLn "Debugging")
will output the string Debugging
if the Boolean value debug
is True
, and otherwise do nothing.
liftM5 :: Monad m => (a1 -> a2 -> a3 -> a4 -> a5 -> r) -> m a1 -> m a2 -> m a3 -> m a4 -> m a5 -> m r #
Promote a function to a monad, scanning the monadic arguments from
left to right (cf. liftM2
).
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. liftM2
).
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. liftM2
).
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. For example,
liftM2 (+) [0,1] [0,2] = [0,2,1,3] liftM2 (+) (Just 1) Nothing = Nothing
(=<<) :: Monad m => (a -> m b) -> m a -> m b infixr 1 #
Same as >>=
, but with the arguments interchanged.
class MonadTrans (t :: (Type -> Type) -> Type -> Type) where #
The class of monad transformers. Instances should satisfy the
following laws, which state that lift
is a monad transformation:
Methods
lift :: Monad m => m a -> t m a #
Lift a computation from the argument monad to the constructed monad.
Instances
MonadTrans ListT | |
Defined in Control.Monad.Trans.List | |
MonadTrans MaybeT | |
Defined in Control.Monad.Trans.Maybe | |
MonadTrans (ErrorT e) | |
Defined in Control.Monad.Trans.Error | |
MonadTrans (ExceptT e) | |
Defined in Control.Monad.Trans.Except | |
MonadTrans (IdentityT :: (Type -> Type) -> Type -> Type) | |
Defined in Control.Monad.Trans.Identity | |
MonadTrans (ReaderT r) | |
Defined in Control.Monad.Trans.Reader | |
MonadTrans (StateT s) | |
Defined in Control.Monad.Trans.State.Lazy | |
MonadTrans (StateT s) | |
Defined in Control.Monad.Trans.State.Strict | |
Monoid w => MonadTrans (WriterT w) | |
Defined in Control.Monad.Trans.Writer.Lazy | |
Monoid w => MonadTrans (WriterT w) | |
Defined in Control.Monad.Trans.Writer.Strict | |
MonadTrans (ContT r) | |
Defined in Control.Monad.Trans.Cont | |
Monoid w => MonadTrans (RWST r w s) | |
Defined in Control.Monad.Trans.RWS.Lazy | |
Monoid w => MonadTrans (RWST r w s) | |
Defined in Control.Monad.Trans.RWS.Strict |
class Monad m => MonadError e (m :: Type -> Type) | m -> e where #
The strategy of combining computations that can throw exceptions by bypassing bound functions from the point an exception is thrown to the point that it is handled.
Is parameterized over the type of error information and
the monad type constructor.
It is common to use
as the monad type constructor
for an error monad in which error descriptions take the form of strings.
In that case and many other common cases the resulting monad is already defined
as an instance of the Either
StringMonadError
class.
You can also define your own error type and/or use a monad type constructor
other than
or Either
String
.
In these cases you will have to explicitly define instances of the Either
IOError
MonadError
class.
(If you are using the deprecated Control.Monad.Error or
Control.Monad.Trans.Error, you may also have to define an Error
instance.)
Minimal complete definition
Methods
catchError :: m a -> (e -> m a) -> m a #
A handler function to handle previous errors and return to normal execution. A common idiom is:
do { action1; action2; action3 } `catchError` handler
where the action
functions can call throwError
.
Note that handler
and the do-block must have the same return type.
Instances
mapExceptT :: (m (Either e a) -> n (Either e' b)) -> ExceptT e m a -> ExceptT e' n b #
Map the unwrapped computation using the given function.
runExceptT
(mapExceptT
f m) = f (runExceptT
m)
runExcept :: Except e a -> Either e a #
Extractor for computations in the exception monad.
(The inverse of except
).
runExceptT :: ExceptT e m a -> m (Either e a) #
The inverse of ExceptT
.
withExcept :: (e -> e') -> Except e a -> Except e' a #
Transform any exceptions thrown by the computation using the given
function (a specialization of withExceptT
).
withExceptT :: forall (m :: Type -> Type) e e' a. Functor m => (e -> e') -> ExceptT e m a -> ExceptT e' m a #
Transform any exceptions thrown by the computation using the given function.
newtype ExceptT e (m :: Type -> Type) a #
A monad transformer that adds exceptions to other monads.
ExceptT
constructs a monad parameterized over two things:
- e - The exception type.
- m - The inner monad.
The return
function yields a computation that produces the given
value, while >>=
sequences two subcomputations, exiting on the
first exception.
Instances
throwError :: (MonadError error m, CoHas option error) => option -> m a Source #
Begin error processing for the error of type option
.
This is Control.Monad.Except's throwError
with the type adjusted for better compatibility with CoHas
.
liftEither :: (MonadError error m, CoHas option error) => Either option a -> m a Source #
Lifts an Either
option
into any MonadError
error
where option
can be inject
ed into error
.
This is Control.Monad.Except's liftEither
with the type adjusted for better compatibility with CoHas
.