Safe Haskell	None
Language	Haskell2010

CoAxiom

Description

Module for coercion axioms, used to represent type family instances and newtypes

Synopsis

data BranchFlag
type Branched = 'Branched
type Unbranched = 'Unbranched
type BranchIndex = Int
newtype Branches (br :: BranchFlag) = MkBranches {
- unMkBranches :: Array BranchIndex CoAxBranch
}
manyBranches :: [CoAxBranch] -> Branches Branched
unbranched :: CoAxBranch -> Branches Unbranched
fromBranches :: Branches br -> [CoAxBranch]
numBranches :: Branches br -> Int
mapAccumBranches :: ([CoAxBranch] -> CoAxBranch -> CoAxBranch) -> Branches br -> Branches br
data CoAxiom br = CoAxiom {
- co_ax_unique :: Unique
- co_ax_name :: Name
- co_ax_role :: Role
- co_ax_tc :: TyCon
- co_ax_branches :: Branches br
- co_ax_implicit :: Bool
}
data CoAxBranch = CoAxBranch {
- cab_loc :: SrcSpan
- cab_tvs :: [TyVar]
- cab_eta_tvs :: [TyVar]
- cab_cvs :: [CoVar]
- cab_roles :: [Role]
- cab_lhs :: [Type]
- cab_rhs :: Type
- cab_incomps :: [CoAxBranch]
}
toBranchedAxiom :: CoAxiom br -> CoAxiom Branched
toUnbranchedAxiom :: CoAxiom br -> CoAxiom Unbranched
coAxiomName :: CoAxiom br -> Name
coAxiomArity :: CoAxiom br -> BranchIndex -> Arity
coAxiomBranches :: CoAxiom br -> Branches br
coAxiomTyCon :: CoAxiom br -> TyCon
isImplicitCoAxiom :: CoAxiom br -> Bool
coAxiomNumPats :: CoAxiom br -> Int
coAxiomNthBranch :: CoAxiom br -> BranchIndex -> CoAxBranch
coAxiomSingleBranch_maybe :: CoAxiom br -> Maybe CoAxBranch
coAxiomRole :: CoAxiom br -> Role
coAxiomSingleBranch :: CoAxiom Unbranched -> CoAxBranch
coAxBranchTyVars :: CoAxBranch -> [TyVar]
coAxBranchCoVars :: CoAxBranch -> [CoVar]
coAxBranchRoles :: CoAxBranch -> [Role]
coAxBranchLHS :: CoAxBranch -> [Type]
coAxBranchRHS :: CoAxBranch -> Type
coAxBranchSpan :: CoAxBranch -> SrcSpan
coAxBranchIncomps :: CoAxBranch -> [CoAxBranch]
placeHolderIncomps :: [CoAxBranch]
data Role
- = Nominal
- | Representational
- | Phantom
fsFromRole :: Role -> FastString
data CoAxiomRule = CoAxiomRule {
- coaxrName :: FastString
- coaxrAsmpRoles :: [Role]
- coaxrRole :: Role
- coaxrProves :: [TypeEqn] -> Maybe TypeEqn
}
type TypeEqn = Pair Type
data BuiltInSynFamily = BuiltInSynFamily {
- sfMatchFam :: [Type] -> Maybe (CoAxiomRule, [Type], Type)
- sfInteractTop :: [Type] -> Type -> [TypeEqn]
- sfInteractInert :: [Type] -> Type -> [Type] -> Type -> [TypeEqn]
}
trivialBuiltInFamily :: BuiltInSynFamily

Documentation

data BranchFlag Source #

type Branched = 'Branched Source #

type Unbranched = 'Unbranched Source #

type BranchIndex = Int Source #

newtype Branches (br :: BranchFlag) Source #

Constructors

MkBranches
Fields unMkBranches :: Array BranchIndex CoAxBranch

manyBranches :: [CoAxBranch] -> Branches Branched Source #

unbranched :: CoAxBranch -> Branches Unbranched Source #

fromBranches :: Branches br -> [CoAxBranch] Source #

numBranches :: Branches br -> Int Source #

mapAccumBranches :: ([CoAxBranch] -> CoAxBranch -> CoAxBranch) -> Branches br -> Branches br Source #

The [CoAxBranch] passed into the mapping function is a list of all previous branches, reversed

data CoAxiom br Source #

A CoAxiom is a "coercion constructor", i.e. a named equality axiom.

Constructors

CoAxiom
Fields co_ax_unique :: Unique co_ax_name :: Name co_ax_role :: Role co_ax_tc :: TyCon co_ax_branches :: Branches br co_ax_implicit :: Bool

Instances

Instances details

Eq (CoAxiom br) Source #
Instance details Defined in CoAxiom Methods (==) :: CoAxiom br -> CoAxiom br -> Bool # (/=) :: CoAxiom br -> CoAxiom br -> Bool #
Typeable br => Data (CoAxiom br) Source #
Instance details Defined in CoAxiom Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> CoAxiom br -> c (CoAxiom br) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (CoAxiom br) # toConstr :: CoAxiom br -> Constr # dataTypeOf :: CoAxiom br -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (CoAxiom br)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (CoAxiom br)) # gmapT :: (forall b. Data b => b -> b) -> CoAxiom br -> CoAxiom br # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> CoAxiom br -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> CoAxiom br -> r # gmapQ :: (forall d. Data d => d -> u) -> CoAxiom br -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> CoAxiom br -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> CoAxiom br -> m (CoAxiom br) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> CoAxiom br -> m (CoAxiom br) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> CoAxiom br -> m (CoAxiom br) #
Outputable (CoAxiom br) Source #
Instance details Defined in CoAxiom Methods ppr :: CoAxiom br -> SDoc Source # pprPrec :: Rational -> CoAxiom br -> SDoc Source #
Uniquable (CoAxiom br) Source #
Instance details Defined in CoAxiom Methods getUnique :: CoAxiom br -> Unique Source #
NamedThing (CoAxiom br) Source #
Instance details Defined in CoAxiom Methods getOccName :: CoAxiom br -> OccName Source # getName :: CoAxiom br -> Name Source #

data CoAxBranch Source #

Constructors

CoAxBranch
Fields cab_loc :: SrcSpan cab_tvs :: [TyVar] cab_eta_tvs :: [TyVar] cab_cvs :: [CoVar] cab_roles :: [Role] cab_lhs :: [Type] cab_rhs :: Type cab_incomps :: [CoAxBranch]

Instances

Instances details

Data CoAxBranch Source #
Instance details Defined in CoAxiom Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> CoAxBranch -> c CoAxBranch # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c CoAxBranch # toConstr :: CoAxBranch -> Constr # dataTypeOf :: CoAxBranch -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c CoAxBranch) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c CoAxBranch) # gmapT :: (forall b. Data b => b -> b) -> CoAxBranch -> CoAxBranch # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> CoAxBranch -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> CoAxBranch -> r # gmapQ :: (forall d. Data d => d -> u) -> CoAxBranch -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> CoAxBranch -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> CoAxBranch -> m CoAxBranch # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> CoAxBranch -> m CoAxBranch # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> CoAxBranch -> m CoAxBranch #
Outputable CoAxBranch Source #
Instance details Defined in CoAxiom Methods ppr :: CoAxBranch -> SDoc Source # pprPrec :: Rational -> CoAxBranch -> SDoc Source #

toBranchedAxiom :: CoAxiom br -> CoAxiom Branched Source #

toUnbranchedAxiom :: CoAxiom br -> CoAxiom Unbranched Source #

coAxiomName :: CoAxiom br -> Name Source #

coAxiomArity :: CoAxiom br -> BranchIndex -> Arity Source #

coAxiomBranches :: CoAxiom br -> Branches br Source #

coAxiomTyCon :: CoAxiom br -> TyCon Source #

isImplicitCoAxiom :: CoAxiom br -> Bool Source #

coAxiomNumPats :: CoAxiom br -> Int Source #

coAxiomNthBranch :: CoAxiom br -> BranchIndex -> CoAxBranch Source #

coAxiomSingleBranch_maybe :: CoAxiom br -> Maybe CoAxBranch Source #

coAxiomRole :: CoAxiom br -> Role Source #

coAxiomSingleBranch :: CoAxiom Unbranched -> CoAxBranch Source #

coAxBranchTyVars :: CoAxBranch -> [TyVar] Source #

coAxBranchCoVars :: CoAxBranch -> [CoVar] Source #

coAxBranchRoles :: CoAxBranch -> [Role] Source #

coAxBranchLHS :: CoAxBranch -> [Type] Source #

coAxBranchRHS :: CoAxBranch -> Type Source #

coAxBranchSpan :: CoAxBranch -> SrcSpan Source #

coAxBranchIncomps :: CoAxBranch -> [CoAxBranch] Source #

placeHolderIncomps :: [CoAxBranch] Source #

data Role Source #

Constructors

Nominal
Representational
Phantom

Instances

Instances details

Eq Role Source #
Instance details Defined in CoAxiom Methods (==) :: Role -> Role -> Bool # (/=) :: Role -> Role -> Bool #
Data Role Source #
Instance details Defined in CoAxiom Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Role -> c Role # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Role # toConstr :: Role -> Constr # dataTypeOf :: Role -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Role) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Role) # gmapT :: (forall b. Data b => b -> b) -> Role -> Role # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Role -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Role -> r # gmapQ :: (forall d. Data d => d -> u) -> Role -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Role -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Role -> m Role # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Role -> m Role # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Role -> m Role #
Ord Role Source #
Instance details Defined in CoAxiom Methods compare :: Role -> Role -> Ordering # (<) :: Role -> Role -> Bool # (<=) :: Role -> Role -> Bool # (>) :: Role -> Role -> Bool # (>=) :: Role -> Role -> Bool # max :: Role -> Role -> Role # min :: Role -> Role -> Role #
Outputable Role Source #
Instance details Defined in CoAxiom Methods ppr :: Role -> SDoc Source # pprPrec :: Rational -> Role -> SDoc Source #
Binary Role Source #
Instance details Defined in CoAxiom Methods put_ :: BinHandle -> Role -> IO () Source # put :: BinHandle -> Role -> IO (Bin Role) Source # get :: BinHandle -> IO Role Source #

fsFromRole :: Role -> FastString Source #

data CoAxiomRule Source #

For now, we work only with nominal equality.

Constructors

CoAxiomRule
Fields coaxrName :: FastString coaxrAsmpRoles :: [Role] coaxrRole :: Role coaxrProves :: [TypeEqn] -> Maybe TypeEqn coaxrProves returns `Nothing` when it doesn't like the supplied arguments. When this happens in a coercion that means that the coercion is ill-formed, and Core Lint checks for that.

Instances

Instances details

Eq CoAxiomRule Source #
Instance details Defined in CoAxiom Methods (==) :: CoAxiomRule -> CoAxiomRule -> Bool # (/=) :: CoAxiomRule -> CoAxiomRule -> Bool #
Data CoAxiomRule Source #
Instance details Defined in CoAxiom Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> CoAxiomRule -> c CoAxiomRule # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c CoAxiomRule # toConstr :: CoAxiomRule -> Constr # dataTypeOf :: CoAxiomRule -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c CoAxiomRule) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c CoAxiomRule) # gmapT :: (forall b. Data b => b -> b) -> CoAxiomRule -> CoAxiomRule # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> CoAxiomRule -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> CoAxiomRule -> r # gmapQ :: (forall d. Data d => d -> u) -> CoAxiomRule -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> CoAxiomRule -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> CoAxiomRule -> m CoAxiomRule # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> CoAxiomRule -> m CoAxiomRule # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> CoAxiomRule -> m CoAxiomRule #
Ord CoAxiomRule Source #
Instance details Defined in CoAxiom Methods compare :: CoAxiomRule -> CoAxiomRule -> Ordering # (<) :: CoAxiomRule -> CoAxiomRule -> Bool # (<=) :: CoAxiomRule -> CoAxiomRule -> Bool # (>) :: CoAxiomRule -> CoAxiomRule -> Bool # (>=) :: CoAxiomRule -> CoAxiomRule -> Bool # max :: CoAxiomRule -> CoAxiomRule -> CoAxiomRule # min :: CoAxiomRule -> CoAxiomRule -> CoAxiomRule #
Outputable CoAxiomRule Source #
Instance details Defined in CoAxiom Methods ppr :: CoAxiomRule -> SDoc Source # pprPrec :: Rational -> CoAxiomRule -> SDoc Source #
Uniquable CoAxiomRule Source #
Instance details Defined in CoAxiom Methods getUnique :: CoAxiomRule -> Unique Source #

type TypeEqn = Pair Type Source #

A more explicit representation for `t1 ~ t2`.

data BuiltInSynFamily Source #

Constructors

BuiltInSynFamily
Fields sfMatchFam :: [Type] -> Maybe (CoAxiomRule, [Type], Type) sfInteractTop :: [Type] -> Type -> [TypeEqn] sfInteractInert :: [Type] -> Type -> [Type] -> Type -> [TypeEqn]

trivialBuiltInFamily :: BuiltInSynFamily Source #