Control.CFLP

Documentation

class (MonadUpdate s m, Update s m m, ChoiceStore s) => CFLP s m

Instances

CFLP ChoiceStoreIM (UpdateT ChoiceStoreIM [])

type CS = ChoiceStoreIM

data UpdateT s m a

Instances

MonadPlus m => MonadUpdate s (UpdateT s m)

CFLP ChoiceStoreIM (UpdateT ChoiceStoreIM [])

MonadPlus m => Update s (UpdateT s m) m

MonadPlus m => Update s (UpdateT s m) (UpdateT s m)

MonadTrans (UpdateT s)

Monad m => Monad (UpdateT s m)

Show (HeadNormalForm cs (UpdateT cs []))

MonadPlus m => MonadPlus (UpdateT s m)

Show a => Show (UpdateT s [] a)

Show (Nondet cs (UpdateT cs []) a)

class ChoiceStore s

Instances

ChoiceStore ChoiceStoreIM

type Computation m a = Context CS -> ID -> Nondet CS (UpdateT CS m) a

eval :: (CFLP CS m, Update CS m m', Data a) => Strategy m' -> (Context CS -> ID -> Nondet CS m a) -> IO [a]

evalPartial :: (CFLP CS m, Update CS m m', Data a) => Strategy m' -> (Context CS -> ID -> Nondet CS m a) -> IO [a]

evalPrint :: (CFLP CS m, Update CS m m', Data a, Show a) => Strategy m' -> (Context CS -> ID -> Nondet CS m a) -> IO ()

type Strategy m = forall a. m a -> [a]

depthFirst :: Strategy []

data NormalForm

Instances

Show NormalForm

data Nondet cs m a

Instances

(Monad m, Data a) => MkCons cs m a (Nondet cs m t)

MkCons cs m b c => MkCons cs m (a -> b) (Nondet cs m t -> c)

With x (Nondet cs m a)

(cs ~ C a, m ~ M a, WithUntyped a) => WithUntyped (Nondet cs m b -> a)

NestLambda f cs m b => NestLambda (Nondet cs m a -> f) cs m (a -> b)

LiftFun (Nondet cs m b -> f) g => LiftFun (Nondet cs m a -> Nondet cs m b -> f) (Nondet cs m a -> g)

LiftFun (Nondet cs m a -> Context cs -> ID -> Nondet cs m b) (Lifted cs m a b)

LiftFun (Nondet cs m a -> ID -> Nondet cs m b) (Lifted cs m a b)

LiftFun (Nondet cs m a -> Context cs -> Nondet cs m b) (Lifted cs m a b)

LiftFun (Nondet cs m a -> Nondet cs m b) (Lifted cs m a b)

Show (Nondet cs (UpdateT cs []) a)

Show (Nondet cs [] a)

WithUntyped (Nondet cs m a)

newtype Context cs

Constructors

Context cs

Instances

LiftFun (Nondet cs m a -> Context cs -> ID -> Nondet cs m b) (Lifted cs m a b)

LiftFun (Nondet cs m a -> Context cs -> Nondet cs m b) (Lifted cs m a b)

data ID

Instances

With ID a => With ID (ID -> a)

LiftFun (Nondet cs m a -> Context cs -> ID -> Nondet cs m b) (Lifted cs m a b)

LiftFun (Nondet cs m a -> ID -> Nondet cs m b) (Lifted cs m a b)

initID :: IO ID

withUnique :: With ID a => a -> ID -> Nondet (C ID a) (M ID a) (T ID a)

class ChoiceStore cs => Narrow cs a where

Methods

narrow :: MonadUpdate cs m => Context cs -> ID -> Nondet cs m a

Instances

ChoiceStore cs => Narrow cs Bool

(ChoiceStore cs, Narrow cs a) => Narrow cs [a]

unknown :: (MonadUpdate cs m, Narrow cs a) => ID -> Nondet cs m a

failure :: MonadPlus m => Nondet cs m a

oneOf :: (MonadUpdate cs m, ChoiceStore cs) => [Nondet cs m a] -> Context cs -> ID -> Nondet cs m a

(?) :: (MonadUpdate cs m, ChoiceStore cs) => Nondet cs m a -> Nondet cs m a -> ID -> Nondet cs m a

withHNF :: Update cs m m => Nondet cs m a -> (HeadNormalForm cs m -> Context cs -> Nondet cs m b) -> Context cs -> Nondet cs m b

caseOf :: Update cs m m => Nondet cs m a -> [Match a cs m b] -> Context cs -> Nondet cs m b

caseOf_ :: Update cs m m => Nondet cs m a -> [Match a cs m b] -> Nondet cs m b -> Context cs -> Nondet cs m b

data Match a cs m b

class Typeable a => Data a

The Data class comprehends a fundamental primitive gfoldl for folding over constructor applications, say terms. This primitive can be instantiated in several ways to map over the immediate subterms of a term; see the gmap combinators later in this class. Indeed, a generic programmer does not necessarily need to use the ingenious gfoldl primitive but rather the intuitive gmap combinators. The gfoldl primitive is completed by means to query top-level constructors, to turn constructor representations into proper terms, and to list all possible datatype constructors. This completion allows us to serve generic programming scenarios like read, show, equality, term generation.

The combinators gmapT, gmapQ, gmapM, etc are all provided with default definitions in terms of gfoldl, leaving open the opportunity to provide datatype-specific definitions. (The inclusion of the gmap combinators as members of class Data allows the programmer or the compiler to derive specialised, and maybe more efficient code per datatype. Note: gfoldl is more higher-order than the gmap combinators. This is subject to ongoing benchmarking experiments. It might turn out that the gmap combinators will be moved out of the class Data.)

Conceptually, the definition of the gmap combinators in terms of the primitive gfoldl requires the identification of the gfoldl function arguments. Technically, we also need to identify the type constructor c for the construction of the result type from the folded term type.

In the definition of gmapQx combinators, we use phantom type constructors for the c in the type of gfoldl because the result type of a query does not involve the (polymorphic) type of the term argument. In the definition of gmapQl we simply use the plain constant type constructor because gfoldl is left-associative anyway and so it is readily suited to fold a left-associative binary operation over the immediate subterms. In the definition of gmapQr, extra effort is needed. We use a higher-order accumulation trick to mediate between left-associative constructor application vs. right-associative binary operation (e.g., (:)). When the query is meant to compute a value of type r, then the result type withing generic folding is r -> r. So the result of folding is a function to which we finally pass the right unit.

With the -XDeriveDataTypeable option, GHC can generate instances of the Data class automatically. For example, given the declaration

data T a b = C1 a b | C2 deriving (Typeable, Data)

GHC will generate an instance that is equivalent to

instance (Data a, Data b) => Data (T a b) where gfoldl k z (C1 a b) = z C1 `k` a `k` b gfoldl k z C2 = z C2 gunfold k z c = case constrIndex c of 1 -> k (k (z C1)) 2 -> z C2 toConstr (C1 _ _) = con_C1 toConstr C2 = con_C2 dataTypeOf _ = ty_T con_C1 = mkConstr ty_T "C1" [] Prefix con_C2 = mkConstr ty_T "C2" [] Prefix ty_T = mkDataType "Module.T" [con_C1, con_C2]

This is suitable for datatypes that are exported transparently.

Instances

Data Bool

Data Char

Data Double

Data Float

Data Int

Data Int8

Data Int16

Data Int32

Data Int64

Data Integer

Data Ordering

Data Word

Data Word8

Data Word16

Data Word32

Data Word64

Data ()

Data a => Data [a]

(Data a, Integral a) => Data (Ratio a)

Typeable a => Data (Ptr a)

Typeable a => Data (ForeignPtr a)

Data a => Data (Maybe a)

Data a => Data (IntMap a)

(Data a, Data b) => Data (Either a b)

(Data a, Data b) => Data (a, b)

(Typeable a, Data b, Ix a) => Data (Array a b)

(Data a, Data b, Data c) => Data (a, b, c)

(Data a, Data b, Data c, Data d) => Data (a, b, c, d)

(Data a, Data b, Data c, Data d, Data e) => Data (a, b, c, d, e)

(Data a, Data b, Data c, Data d, Data e, Data f) => Data (a, b, c, d, e, f)

(Data a, Data b, Data c, Data d, Data e, Data f, Data g) => Data (a, b, c, d, e, f, g)

nondet :: (Monad m, Data a) => a -> Nondet cs m a

prim :: Data a => NormalForm -> a

groundNormalForm :: Update cs m m' => Nondet cs m a -> Context cs -> m' NormalForm

partialNormalForm :: (Update cs m m', ChoiceStore cs) => Nondet cs m a -> Context cs -> m' NormalForm

class ConsRep a where

Methods

consRep :: a -> Constr

Instances

ConsRep Bool

ConsRep [()]

ConsRep b => ConsRep (a -> b)

cons :: MkCons cs m a b => a -> b

match :: (ConsRep a, WithUntyped b) => a -> (Context (C b) -> b) -> Match t (C b) (M b) (T b)

apply :: Update cs m m => Nondet cs m (a -> b) -> Nondet cs m a -> Context cs -> ID -> Nondet cs m b

fun :: (Monad m, LiftFun f g, NestLambda g cs m t) => f -> Nondet cs m t