FamInstEnv

Documentation

data FamInst

Constructors

FamInst

Fields

• fi_axiom :: CoAxiom Unbranched
• fi_flavor :: FamFlavor
• fi_fam :: Name
• fi_tcs :: [Maybe Name]
• fi_tvs :: [TyVar]
• fi_cvs :: [CoVar]
• fi_tys :: [Type]
• fi_rhs :: Type

Instances

Outputable FamInst

Defined in FamInstEnv

Methods

ppr :: FamInst -> SDoc

pprPrec :: Rational -> FamInst -> SDoc

NamedThing FamInst

Defined in FamInstEnv

Methods

getOccName :: FamInst -> OccName

getName :: FamInst -> Name

data FamFlavor

Constructors

SynFamilyInst

DataFamilyInst TyCon

famInstAxiom :: FamInst -> CoAxiom Unbranched

famInstTyCon :: FamInst -> TyCon

famInstRHS :: FamInst -> Type

famInstsRepTyCons :: [FamInst] -> [TyCon]

famInstRepTyCon_maybe :: FamInst -> Maybe TyCon

dataFamInstRepTyCon :: FamInst -> TyCon

pprFamInst :: FamInst -> SDoc

pprFamInsts :: [FamInst] -> SDoc

mkImportedFamInst :: Name -> [Maybe Name] -> CoAxiom Unbranched -> FamInst

type FamInstEnvs = (FamInstEnv, FamInstEnv)

type FamInstEnv = UniqDFM FamilyInstEnv

emptyFamInstEnv :: FamInstEnv

emptyFamInstEnvs :: (FamInstEnv, FamInstEnv)

extendFamInstEnv :: FamInstEnv -> FamInst -> FamInstEnv

extendFamInstEnvList :: FamInstEnv -> [FamInst] -> FamInstEnv

famInstEnvElts :: FamInstEnv -> [FamInst]

famInstEnvSize :: FamInstEnv -> Int

familyInstances :: (FamInstEnv, FamInstEnv) -> TyCon -> [FamInst]

CoAxioms

mkCoAxBranch :: [TyVar] -> [TyVar] -> [CoVar] -> [Type] -> Type -> [Role] -> SrcSpan -> CoAxBranch

mkBranchedCoAxiom :: Name -> TyCon -> [CoAxBranch] -> CoAxiom Branched

mkUnbranchedCoAxiom :: Name -> TyCon -> CoAxBranch -> CoAxiom Unbranched

mkSingleCoAxiom :: Role -> Name -> [TyVar] -> [TyVar] -> [CoVar] -> TyCon -> [Type] -> Type -> CoAxiom Unbranched

mkNewTypeCoAxiom :: Name -> TyCon -> [TyVar] -> [Role] -> Type -> CoAxiom Unbranched

Create a coercion constructor (axiom) suitable for the given newtype TyCon. The Name should be that of a new coercion CoAxiom, the TyVars the arguments expected by the newtype and the type the appropriate right hand side of the newtype, with the free variables a subset of those TyVars.

data FamInstMatch

Constructors

FamInstMatch

Fields

• fim_instance :: FamInst
• fim_tys :: [Type]
• fim_cos :: [Coercion]

Instances

Outputable FamInstMatch

Defined in FamInstEnv

Methods

ppr :: FamInstMatch -> SDoc

pprPrec :: Rational -> FamInstMatch -> SDoc

lookupFamInstEnv :: FamInstEnvs -> TyCon -> [Type] -> [FamInstMatch]

lookupFamInstEnvConflicts :: FamInstEnvs -> FamInst -> [FamInstMatch]

lookupFamInstEnvByTyCon :: FamInstEnvs -> TyCon -> [FamInst]

isDominatedBy :: CoAxBranch -> [CoAxBranch] -> Bool

apartnessCheck

Arguments

:: [Type]

flattened target arguments. Make sure they're flattened! See Note [Flattening]. (NB: This "flat" is a different "flat" than is used in TcFlatten.)

-> CoAxBranch

the candidate equation we wish to use Precondition: this matches the target

-> Bool

True = equation can fire

Do an apartness check, as described in the "Closed Type Families" paper (POPL '14). This should be used when determining if an equation (CoAxBranch) of a closed type family can be used to reduce a certain target type family application.

data InjectivityCheckResult

Result of testing two type family equations for injectiviy.

Constructors

InjectivityAccepted

Either RHSs are distinct or unification of RHSs leads to unification of LHSs

InjectivityUnified CoAxBranch CoAxBranch

RHSs unify but LHSs don't unify under that substitution. Relevant for closed type families where equation after unification might be overlpapped (in which case it is OK if they don't unify). Constructor stores axioms after unification.

lookupFamInstEnvInjectivityConflicts :: [Bool] -> FamInstEnvs -> FamInst -> [CoAxBranch]

Check whether an open type family equation can be added to already existing instance environment without causing conflicts with supplied injectivity annotations. Returns list of conflicting axioms (type instance declarations).

injectiveBranches :: [Bool] -> CoAxBranch -> CoAxBranch -> InjectivityCheckResult

Check whether two type family axioms don't violate injectivity annotation.

topNormaliseType :: FamInstEnvs -> Type -> Type

topNormaliseType_maybe :: FamInstEnvs -> Type -> Maybe (Coercion, Type)

Get rid of *outermost* (or toplevel) * type function redex * data family redex * newtypes returning an appropriate Representational coercion. Specifically, if topNormaliseType_maybe env ty = Just (co, ty') then (a) co :: ty ~R ty' (b) ty' is not a newtype, and is not a type-family or data-family redex

However, ty' can be something like (Maybe (F ty)), where (F ty) is a redex.

Always operates homogeneously: the returned type has the same kind as the original type, and the returned coercion is always homogeneous.

normaliseType :: FamInstEnvs -> Role -> Type -> (Coercion, Type)

normaliseTcApp :: FamInstEnvs -> Role -> TyCon -> [Type] -> (Coercion, Type)

normaliseTcArgs

Arguments

:: FamInstEnvs

env't with family instances

-> Role

desired role of output coercion

-> TyCon

tc

-> [Type]

tys

-> (Coercion, [Type], CoercionN)

co :: tc tys ~ tc new_tys NB: co might not be homogeneous last coercion :: kind(tc tys) ~ kind(tc new_tys)

Normalise arguments to a tycon

reduceTyFamApp_maybe :: FamInstEnvs -> Role -> TyCon -> [Type] -> Maybe (Coercion, Type)

flattenTys :: InScopeSet -> [Type] -> [Type]