GHC.Core.TyCo.Subst

Substitution into types and coercions.

Substitutions

data Subst

Type & coercion & id substitution

The Subst data type defined in this module contains substitution for tyvar, covar and id. However, operations on IdSubstEnv (mapping from Id to CoreExpr) that require the definition of the Expr data type are defined in GHC.Core.Subst to avoid circular module dependency.

Constructors

Subst InScopeSet IdSubstEnv TvSubstEnv CvSubstEnv

Instances

Outputable Subst

Defined in GHC.Core.TyCo.Subst

Methods

ppr :: Subst -> SDoc

type TvSubstEnv = TyVarEnv Type

A substitution of Types for TyVars and Kinds for KindVars

type CvSubstEnv = CoVarEnv Coercion

A substitution of Coercions for CoVars

type IdSubstEnv = IdEnv CoreExpr

A substitution of Exprs for non-coercion Ids

emptyIdSubstEnv :: IdSubstEnv

emptyTvSubstEnv :: TvSubstEnv

emptyCvSubstEnv :: CvSubstEnv

composeTCvSubst :: Subst -> Subst -> Subst

Composes two substitutions, applying the second one provided first, like in function composition. This function leaves IdSubstEnv untouched because IdSubstEnv is not used during substitution for types.

emptySubst :: Subst

mkEmptySubst :: InScopeSet -> Subst

isEmptyTCvSubst :: Subst -> Bool

Checks whether the tyvar and covar environments are empty. This function should be used over isEmptySubst when substituting for types, because types currently do not contain expressions; we can safely disregard the expression environment when deciding whether to skip a substitution. Using isEmptyTCvSubst gives us a non-trivial performance boost (up to 70% less allocation for T18223)

isEmptySubst :: Subst -> Bool

mkTCvSubst :: InScopeSet -> TvSubstEnv -> CvSubstEnv -> Subst

mkTvSubst :: InScopeSet -> TvSubstEnv -> Subst

Make a TCvSubst with specified tyvar subst and empty covar subst

mkCvSubst :: InScopeSet -> CvSubstEnv -> Subst

Make a TCvSubst with specified covar subst and empty tyvar subst

mkIdSubst :: InScopeSet -> IdSubstEnv -> Subst

getTvSubstEnv :: Subst -> TvSubstEnv

getIdSubstEnv :: Subst -> IdSubstEnv

getCvSubstEnv :: Subst -> CvSubstEnv

getSubstInScope :: Subst -> InScopeSet

Find the in-scope set: see Note [The substitution invariant]

setInScope :: Subst -> InScopeSet -> Subst

getSubstRangeTyCoFVs :: Subst -> VarSet

Returns the free variables of the types in the range of a substitution as a non-deterministic set.

isInScope :: Var -> Subst -> Bool

elemSubst :: Var -> Subst -> Bool

notElemSubst :: Var -> Subst -> Bool

zapSubst :: Subst -> Subst

Remove all substitutions that might have been built up while preserving the in-scope set originally called zapSubstEnv

extendSubstInScope :: Subst -> Var -> Subst

Add the Var to the in-scope set

extendSubstInScopeList :: Subst -> [Var] -> Subst

Add the Vars to the in-scope set: see also extendInScope

extendSubstInScopeSet :: Subst -> VarSet -> Subst

Add the Vars to the in-scope set: see also extendInScope

extendTCvSubst :: Subst -> TyCoVar -> Type -> Subst

extendTCvSubstWithClone :: Subst -> TyCoVar -> TyCoVar -> Subst

extendCvSubst :: Subst -> CoVar -> Coercion -> Subst

Add a substitution from a CoVar to a Coercion to the Subst: you must ensure that the in-scope set satisfies Note [The substitution invariant] after extending the substitution like this

extendCvSubstWithClone :: Subst -> CoVar -> CoVar -> Subst

extendTvSubst :: Subst -> TyVar -> Type -> Subst

Add a substitution for a TyVar to the Subst The TyVar *must* be a real TyVar, and not a CoVar You must ensure that the in-scope set is such that Note [The substitution invariant] holds after extending the substitution like this.

extendTvSubstWithClone :: Subst -> TyVar -> TyVar -> Subst

extendTvSubstList :: Subst -> [(TyVar, Type)] -> Subst

Adds multiple TyVar substitutions to the Subst: see also extendTvSubst

extendTvSubstAndInScope :: Subst -> TyVar -> Type -> Subst

extendTCvSubstList :: Subst -> [Var] -> [Type] -> Subst

unionSubst :: Subst -> Subst -> Subst

zipTyEnv :: HasDebugCallStack => [TyVar] -> [Type] -> TvSubstEnv

The InScopeSet is just a thunk so with a bit of luck it'll never be evaluated

zipCoEnv :: HasDebugCallStack => [CoVar] -> [Coercion] -> CvSubstEnv

zipTvSubst :: HasDebugCallStack => [TyVar] -> [Type] -> Subst

Generates the in-scope set for the Subst from the types in the incoming environment. No CoVars or Ids, please!

zipCvSubst :: HasDebugCallStack => [CoVar] -> [Coercion] -> Subst

Generates the in-scope set for the Subst from the types in the incoming environment. No TyVars, please!

zipTCvSubst :: HasDebugCallStack => [TyCoVar] -> [Type] -> Subst

mkTvSubstPrs :: [(TyVar, Type)] -> Subst

Generates the in-scope set for the TCvSubst from the types in the incoming environment. No CoVars, please! The InScopeSet is just a thunk so with a bit of luck it'll never be evaluated

substTyWith :: HasDebugCallStack => [TyVar] -> [Type] -> Type -> Type

Type substitution, see zipTvSubst

substTyWithCoVars :: [CoVar] -> [Coercion] -> Type -> Type

Substitute covars within a type

substTysWith :: HasDebugCallStack => [TyVar] -> [Type] -> [Type] -> [Type]

Type substitution, see zipTvSubst

substTysWithCoVars :: HasDebugCallStack => [CoVar] -> [Coercion] -> [Type] -> [Type]

Type substitution, see zipTvSubst

substCoWith :: HasDebugCallStack => [TyVar] -> [Type] -> Coercion -> Coercion

Coercion substitution, see zipTvSubst

substTy :: HasDebugCallStack => Subst -> Type -> Type

Substitute within a Type The substitution has to satisfy the invariants described in Note [The substitution invariant].

substTyAddInScope :: HasDebugCallStack => Subst -> Type -> Type

Substitute within a Type after adding the free variables of the type to the in-scope set. This is useful for the case when the free variables aren't already in the in-scope set or easily available. See also Note [The substitution invariant].

substScaledTy :: HasDebugCallStack => Subst -> Scaled Type -> Scaled Type

substTyUnchecked :: Subst -> Type -> Type

Substitute within a Type disabling the sanity checks. The problems that the sanity checks in substTy catch are described in Note [The substitution invariant]. The goal of #11371 is to migrate all the calls of substTyUnchecked to substTy and remove this function. Please don't use in new code.

substTysUnchecked :: Subst -> [Type] -> [Type]

Substitute within several Types disabling the sanity checks. The problems that the sanity checks in substTys catch are described in Note [The substitution invariant]. The goal of #11371 is to migrate all the calls of substTysUnchecked to substTys and remove this function. Please don't use in new code.

substScaledTysUnchecked :: Subst -> [Scaled Type] -> [Scaled Type]

substThetaUnchecked :: Subst -> ThetaType -> ThetaType

Substitute within a ThetaType disabling the sanity checks. The problems that the sanity checks in substTys catch are described in Note [The substitution invariant]. The goal of #11371 is to migrate all the calls of substThetaUnchecked to substTheta and remove this function. Please don't use in new code.

substTyWithUnchecked :: [TyVar] -> [Type] -> Type -> Type

Type substitution, see zipTvSubst. Disables sanity checks. The problems that the sanity checks in substTy catch are described in Note [The substitution invariant]. The goal of #11371 is to migrate all the calls of substTyUnchecked to substTy and remove this function. Please don't use in new code.

substScaledTyUnchecked :: HasDebugCallStack => Subst -> Scaled Type -> Scaled Type

substCoUnchecked :: Subst -> Coercion -> Coercion

Substitute within a Coercion disabling sanity checks. The problems that the sanity checks in substCo catch are described in Note [The substitution invariant]. The goal of #11371 is to migrate all the calls of substCoUnchecked to substCo and remove this function. Please don't use in new code.

substCoWithUnchecked :: [TyVar] -> [Type] -> Coercion -> Coercion

Coercion substitution, see zipTvSubst. Disables sanity checks. The problems that the sanity checks in substCo catch are described in Note [The substitution invariant]. The goal of #11371 is to migrate all the calls of substCoUnchecked to substCo and remove this function. Please don't use in new code.

substTyWithInScope :: HasDebugCallStack => InScopeSet -> [TyVar] -> [Type] -> Type -> Type

Substitute tyvars within a type using a known InScopeSet. Pre-condition: the in_scope set should satisfy Note [The substitution invariant]; specifically it should include the free vars of tys, and of ty minus the domain of the subst.

substTys :: HasDebugCallStack => Subst -> [Type] -> [Type]

Substitute within several Types The substitution has to satisfy the invariants described in Note [The substitution invariant].

substScaledTys :: HasDebugCallStack => Subst -> [Scaled Type] -> [Scaled Type]

substTheta :: HasDebugCallStack => Subst -> ThetaType -> ThetaType

Substitute within a ThetaType The substitution has to satisfy the invariants described in Note [The substitution invariant].

lookupTyVar :: Subst -> TyVar -> Maybe Type

substCo :: HasDebugCallStack => Subst -> Coercion -> Coercion

Substitute within a Coercion The substitution has to satisfy the invariants described in Note [The substitution invariant].

substCos :: HasDebugCallStack => Subst -> [Coercion] -> [Coercion]

Substitute within several Coercions The substitution has to satisfy the invariants described in Note [The substitution invariant].

substCoVar :: Subst -> CoVar -> Coercion

substCoVars :: Subst -> [CoVar] -> [Coercion]

lookupCoVar :: Subst -> Var -> Maybe Coercion

cloneTyVarBndr :: Subst -> TyVar -> Unique -> (Subst, TyVar)

cloneTyVarBndrs :: Subst -> [TyVar] -> UniqSupply -> (Subst, [TyVar])

substVarBndr :: HasDebugCallStack => Subst -> TyCoVar -> (Subst, TyCoVar)

substVarBndrs :: HasDebugCallStack => Subst -> [TyCoVar] -> (Subst, [TyCoVar])

substTyVarBndr :: HasDebugCallStack => Subst -> TyVar -> (Subst, TyVar)

substTyVarBndrs :: HasDebugCallStack => Subst -> [TyVar] -> (Subst, [TyVar])

substCoVarBndr :: HasDebugCallStack => Subst -> CoVar -> (Subst, CoVar)

substTyVar :: Subst -> TyVar -> Type

substTyVars :: Subst -> [TyVar] -> [Type]

substTyVarToTyVar :: HasDebugCallStack => Subst -> TyVar -> TyVar

substTyCoVars :: Subst -> [TyCoVar] -> [Type]

substTyCoBndr :: Subst -> PiTyBinder -> (Subst, PiTyBinder)

substForAllCoBndr :: Subst -> TyCoVar -> KindCoercion -> (Subst, TyCoVar, Coercion)

substVarBndrUsing :: (Subst -> Type -> Type) -> Subst -> TyCoVar -> (Subst, TyCoVar)

substForAllCoBndrUsing :: Bool -> (Coercion -> Coercion) -> Subst -> TyCoVar -> KindCoercion -> (Subst, TyCoVar, KindCoercion)

checkValidSubst :: HasDebugCallStack => Subst -> [Type] -> [Coercion] -> a -> a

This checks if the substitution satisfies the invariant from Note [The substitution invariant].

isValidTCvSubst :: Subst -> Bool

When calling substTy it should be the case that the in-scope set in the substitution is a superset of the free vars of the range of the substitution. See also Note [The substitution invariant]. TODO: take into account ids and rename as isValidSubst