{-
(c) The University of Glasgow 2006
(c) The GRASP/AQUA Project, Glasgow University, 1992-1998


Utility functions on @Core@ syntax
-}

{-# LANGUAGE CPP #-}
module CoreSubst (
        -- * Main data types
        Subst(..), -- Implementation exported for supercompiler's Renaming.hs only
        TvSubstEnv, IdSubstEnv, InScopeSet,

        -- ** Substituting into expressions and related types
        deShadowBinds, substSpec, substRulesForImportedIds,
        substTy, substCo, substExpr, substExprSC, substBind, substBindSC,
        substUnfolding, substUnfoldingSC,
        lookupIdSubst, lookupTCvSubst, substIdOcc,
        substTickish, substDVarSet, substIdInfo,

        -- ** Operations on substitutions
        emptySubst, mkEmptySubst, mkSubst, mkOpenSubst, substInScope, isEmptySubst,
        extendIdSubst, extendIdSubstList, extendTCvSubst, extendTvSubstList,
        extendSubst, extendSubstList, extendSubstWithVar, zapSubstEnv,
        addInScopeSet, extendInScope, extendInScopeList, extendInScopeIds,
        isInScope, setInScope, getTCvSubst, extendTvSubst, extendCvSubst,
        delBndr, delBndrs,

        -- ** Substituting and cloning binders
        substBndr, substBndrs, substRecBndrs, substTyVarBndr, substCoVarBndr,
        cloneBndr, cloneBndrs, cloneIdBndr, cloneIdBndrs, cloneRecIdBndrs,

    ) where

#include "HsVersions.h"


import GhcPrelude

import CoreSyn
import CoreFVs
import CoreSeq
import CoreUtils
import qualified Type
import qualified Coercion

        -- We are defining local versions
import Type     hiding ( substTy, extendTvSubst, extendCvSubst, extendTvSubstList
                       , isInScope, substTyVarBndr, cloneTyVarBndr )
import Coercion hiding ( substCo, substCoVarBndr )

import PrelNames
import VarSet
import VarEnv
import Id
import Name     ( Name )
import Var
import IdInfo
import UniqSupply
import Maybes
import Util
import Outputable
import PprCore          ()              -- Instances
import Data.List



{-
************************************************************************
*                                                                      *
\subsection{Substitutions}
*                                                                      *
************************************************************************
-}

-- | A substitution environment, containing 'Id', 'TyVar', and 'CoVar'
-- substitutions.
--
-- Some invariants apply to how you use the substitution:
--
-- 1. Note [The substitution invariant] in TyCoRep
--
-- 2. Note [Substitutions apply only once] in TyCoRep
data Subst
  = Subst InScopeSet  -- Variables in in scope (both Ids and TyVars) /after/
                      -- applying the substitution
          IdSubstEnv  -- Substitution from NcIds to CoreExprs
          TvSubstEnv  -- Substitution from TyVars to Types
          CvSubstEnv  -- Substitution from CoVars to Coercions

        -- INVARIANT 1: See TyCoRep Note [The substitution invariant]
        -- This is what lets us deal with name capture properly
        -- It's a hard invariant to check...
        --
        -- INVARIANT 2: The substitution is apply-once; see Note [Apply once] with
        --              Types.TvSubstEnv
        --
        -- INVARIANT 3: See Note [Extending the Subst]

{-
Note [Extending the Subst]
~~~~~~~~~~~~~~~~~~~~~~~~~~
For a core Subst, which binds Ids as well, we make a different choice for Ids
than we do for TyVars.

For TyVars, see Note [Extending the TCvSubst] with Type.TvSubstEnv

For Ids, we have a different invariant
        The IdSubstEnv is extended *only* when the Unique on an Id changes
        Otherwise, we just extend the InScopeSet

In consequence:

* If all subst envs are empty, substExpr would be a
  no-op, so substExprSC ("short cut") does nothing.

  However, substExpr still goes ahead and substitutes.  Reason: we may
  want to replace existing Ids with new ones from the in-scope set, to
  avoid space leaks.

* In substIdBndr, we extend the IdSubstEnv only when the unique changes

* If the CvSubstEnv, TvSubstEnv and IdSubstEnv are all empty,
  substExpr does nothing (Note that the above rule for substIdBndr
  maintains this property.  If the incoming envts are both empty, then
  substituting the type and IdInfo can't change anything.)

* In lookupIdSubst, we *must* look up the Id in the in-scope set, because
  it may contain non-trivial changes.  Example:
        (/\a. \x:a. ...x...) Int
  We extend the TvSubstEnv with [a |-> Int]; but x's unique does not change
  so we only extend the in-scope set.  Then we must look up in the in-scope
  set when we find the occurrence of x.

* The requirement to look up the Id in the in-scope set means that we
  must NOT take no-op short cut when the IdSubst is empty.
  We must still look up every Id in the in-scope set.

* (However, we don't need to do so for expressions found in the IdSubst
  itself, whose range is assumed to be correct wrt the in-scope set.)

Why do we make a different choice for the IdSubstEnv than the
TvSubstEnv and CvSubstEnv?

* For Ids, we change the IdInfo all the time (e.g. deleting the
  unfolding), and adding it back later, so using the TyVar convention
  would entail extending the substitution almost all the time

* The simplifier wants to look up in the in-scope set anyway, in case it
  can see a better unfolding from an enclosing case expression

* For TyVars, only coercion variables can possibly change, and they are
  easy to spot
-}

-- | An environment for substituting for 'Id's
type IdSubstEnv = IdEnv CoreExpr   -- Domain is NcIds, i.e. not coercions

----------------------------
isEmptySubst :: Subst -> Bool
isEmptySubst :: Subst -> Bool
isEmptySubst (Subst _ id_env :: IdSubstEnv
id_env tv_env :: TvSubstEnv
tv_env cv_env :: CvSubstEnv
cv_env)
  = IdSubstEnv -> Bool
forall a. VarEnv a -> Bool
isEmptyVarEnv IdSubstEnv
id_env Bool -> Bool -> Bool
&& TvSubstEnv -> Bool
forall a. VarEnv a -> Bool
isEmptyVarEnv TvSubstEnv
tv_env Bool -> Bool -> Bool
&& CvSubstEnv -> Bool
forall a. VarEnv a -> Bool
isEmptyVarEnv CvSubstEnv
cv_env

emptySubst :: Subst
emptySubst :: Subst
emptySubst = InScopeSet -> IdSubstEnv -> TvSubstEnv -> CvSubstEnv -> Subst
Subst InScopeSet
emptyInScopeSet IdSubstEnv
forall a. VarEnv a
emptyVarEnv TvSubstEnv
forall a. VarEnv a
emptyVarEnv CvSubstEnv
forall a. VarEnv a
emptyVarEnv

mkEmptySubst :: InScopeSet -> Subst
mkEmptySubst :: InScopeSet -> Subst
mkEmptySubst in_scope :: InScopeSet
in_scope = InScopeSet -> IdSubstEnv -> TvSubstEnv -> CvSubstEnv -> Subst
Subst InScopeSet
in_scope IdSubstEnv
forall a. VarEnv a
emptyVarEnv TvSubstEnv
forall a. VarEnv a
emptyVarEnv CvSubstEnv
forall a. VarEnv a
emptyVarEnv

mkSubst :: InScopeSet -> TvSubstEnv -> CvSubstEnv -> IdSubstEnv -> Subst
mkSubst :: InScopeSet -> TvSubstEnv -> CvSubstEnv -> IdSubstEnv -> Subst
mkSubst in_scope :: InScopeSet
in_scope tvs :: TvSubstEnv
tvs cvs :: CvSubstEnv
cvs ids :: IdSubstEnv
ids = InScopeSet -> IdSubstEnv -> TvSubstEnv -> CvSubstEnv -> Subst
Subst InScopeSet
in_scope IdSubstEnv
ids TvSubstEnv
tvs CvSubstEnv
cvs

-- | Find the in-scope set: see TyCoRep Note [The substitution invariant]
substInScope :: Subst -> InScopeSet
substInScope :: Subst -> InScopeSet
substInScope (Subst in_scope :: InScopeSet
in_scope _ _ _) = InScopeSet
in_scope

-- | Remove all substitutions for 'Id's and 'Var's that might have been built up
-- while preserving the in-scope set
zapSubstEnv :: Subst -> Subst
zapSubstEnv :: Subst -> Subst
zapSubstEnv (Subst in_scope :: InScopeSet
in_scope _ _ _) = InScopeSet -> IdSubstEnv -> TvSubstEnv -> CvSubstEnv -> Subst
Subst InScopeSet
in_scope IdSubstEnv
forall a. VarEnv a
emptyVarEnv TvSubstEnv
forall a. VarEnv a
emptyVarEnv CvSubstEnv
forall a. VarEnv a
emptyVarEnv

-- | Add a substitution for an 'Id' to the 'Subst': you must ensure that the in-scope set is
-- such that TyCoRep Note [The substitution invariant]
-- holds after extending the substitution like this
extendIdSubst :: Subst -> Id -> CoreExpr -> Subst
-- ToDo: add an ASSERT that fvs(subst-result) is already in the in-scope set
extendIdSubst :: Subst -> Id -> CoreExpr -> Subst
extendIdSubst (Subst in_scope :: InScopeSet
in_scope ids :: IdSubstEnv
ids tvs :: TvSubstEnv
tvs cvs :: CvSubstEnv
cvs) v :: Id
v r :: CoreExpr
r
  = ASSERT2( isNonCoVarId v, ppr v $$ ppr r )
    InScopeSet -> IdSubstEnv -> TvSubstEnv -> CvSubstEnv -> Subst
Subst InScopeSet
in_scope (IdSubstEnv -> Id -> CoreExpr -> IdSubstEnv
forall a. VarEnv a -> Id -> a -> VarEnv a
extendVarEnv IdSubstEnv
ids Id
v CoreExpr
r) TvSubstEnv
tvs CvSubstEnv
cvs

-- | Adds multiple 'Id' substitutions to the 'Subst': see also 'extendIdSubst'
extendIdSubstList :: Subst -> [(Id, CoreExpr)] -> Subst
extendIdSubstList :: Subst -> [(Id, CoreExpr)] -> Subst
extendIdSubstList (Subst in_scope :: InScopeSet
in_scope ids :: IdSubstEnv
ids tvs :: TvSubstEnv
tvs cvs :: CvSubstEnv
cvs) prs :: [(Id, CoreExpr)]
prs
  = ASSERT( all (isNonCoVarId . fst) prs )
    InScopeSet -> IdSubstEnv -> TvSubstEnv -> CvSubstEnv -> Subst
Subst InScopeSet
in_scope (IdSubstEnv -> [(Id, CoreExpr)] -> IdSubstEnv
forall a. VarEnv a -> [(Id, a)] -> VarEnv a
extendVarEnvList IdSubstEnv
ids [(Id, CoreExpr)]
prs) TvSubstEnv
tvs CvSubstEnv
cvs

-- | 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
-- TyCoRep Note [The substitution invariant] holds
-- after extending the substitution like this.
extendTvSubst :: Subst -> TyVar -> Type -> Subst
extendTvSubst :: Subst -> Id -> Type -> Subst
extendTvSubst (Subst in_scope :: InScopeSet
in_scope ids :: IdSubstEnv
ids tvs :: TvSubstEnv
tvs cvs :: CvSubstEnv
cvs) tv :: Id
tv ty :: Type
ty
  = ASSERT( isTyVar tv )
    InScopeSet -> IdSubstEnv -> TvSubstEnv -> CvSubstEnv -> Subst
Subst InScopeSet
in_scope IdSubstEnv
ids (TvSubstEnv -> Id -> Type -> TvSubstEnv
forall a. VarEnv a -> Id -> a -> VarEnv a
extendVarEnv TvSubstEnv
tvs Id
tv Type
ty) CvSubstEnv
cvs

-- | Adds multiple 'TyVar' substitutions to the 'Subst': see also 'extendTvSubst'
extendTvSubstList :: Subst -> [(TyVar,Type)] -> Subst
extendTvSubstList :: Subst -> [(Id, Type)] -> Subst
extendTvSubstList subst :: Subst
subst vrs :: [(Id, Type)]
vrs
  = (Subst -> (Id, Type) -> Subst) -> Subst -> [(Id, Type)] -> Subst
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl' Subst -> (Id, Type) -> Subst
extend Subst
subst [(Id, Type)]
vrs
  where
    extend :: Subst -> (Id, Type) -> Subst
extend subst :: Subst
subst (v :: Id
v, r :: Type
r) = Subst -> Id -> Type -> Subst
extendTvSubst Subst
subst Id
v Type
r

-- | Add a substitution from a 'CoVar' to a 'Coercion' to the 'Subst':
-- you must ensure that the in-scope set satisfies
-- TyCoRep Note [The substitution invariant]
-- after extending the substitution like this
extendCvSubst :: Subst -> CoVar -> Coercion -> Subst
extendCvSubst :: Subst -> Id -> Coercion -> Subst
extendCvSubst (Subst in_scope :: InScopeSet
in_scope ids :: IdSubstEnv
ids tvs :: TvSubstEnv
tvs cvs :: CvSubstEnv
cvs) v :: Id
v r :: Coercion
r
  = ASSERT( isCoVar v )
    InScopeSet -> IdSubstEnv -> TvSubstEnv -> CvSubstEnv -> Subst
Subst InScopeSet
in_scope IdSubstEnv
ids TvSubstEnv
tvs (CvSubstEnv -> Id -> Coercion -> CvSubstEnv
forall a. VarEnv a -> Id -> a -> VarEnv a
extendVarEnv CvSubstEnv
cvs Id
v Coercion
r)

-- | Add a substitution appropriate to the thing being substituted
--   (whether an expression, type, or coercion). See also
--   'extendIdSubst', 'extendTvSubst', 'extendCvSubst'
extendSubst :: Subst -> Var -> CoreArg -> Subst
extendSubst :: Subst -> Id -> CoreExpr -> Subst
extendSubst subst :: Subst
subst var :: Id
var arg :: CoreExpr
arg
  = case CoreExpr
arg of
      Type ty :: Type
ty     -> ASSERT( isTyVar var ) extendTvSubst subst var ty
      Coercion co :: Coercion
co -> ASSERT( isCoVar var ) extendCvSubst subst var co
      _           -> ASSERT( isId    var ) extendIdSubst subst var arg

extendSubstWithVar :: Subst -> Var -> Var -> Subst
extendSubstWithVar :: Subst -> Id -> Id -> Subst
extendSubstWithVar subst :: Subst
subst v1 :: Id
v1 v2 :: Id
v2
  | Id -> Bool
isTyVar Id
v1 = ASSERT( isTyVar v2 ) extendTvSubst subst v1 (mkTyVarTy v2)
  | Id -> Bool
isCoVar Id
v1 = ASSERT( isCoVar v2 ) extendCvSubst subst v1 (mkCoVarCo v2)
  | Bool
otherwise  = ASSERT( isId    v2 ) extendIdSubst subst v1 (Var v2)

-- | Add a substitution as appropriate to each of the terms being
--   substituted (whether expressions, types, or coercions). See also
--   'extendSubst'.
extendSubstList :: Subst -> [(Var,CoreArg)] -> Subst
extendSubstList :: Subst -> [(Id, CoreExpr)] -> Subst
extendSubstList subst :: Subst
subst []              = Subst
subst
extendSubstList subst :: Subst
subst ((var :: Id
var,rhs :: CoreExpr
rhs):prs :: [(Id, CoreExpr)]
prs) = Subst -> [(Id, CoreExpr)] -> Subst
extendSubstList (Subst -> Id -> CoreExpr -> Subst
extendSubst Subst
subst Id
var CoreExpr
rhs) [(Id, CoreExpr)]
prs

-- | Find the substitution for an 'Id' in the 'Subst'
lookupIdSubst :: SDoc -> Subst -> Id -> CoreExpr
lookupIdSubst :: SDoc -> Subst -> Id -> CoreExpr
lookupIdSubst doc :: SDoc
doc (Subst in_scope :: InScopeSet
in_scope ids :: IdSubstEnv
ids _ _) v :: Id
v
  | Bool -> Bool
not (Id -> Bool
isLocalId Id
v) = Id -> CoreExpr
forall b. Id -> Expr b
Var Id
v
  | Just e :: CoreExpr
e  <- IdSubstEnv -> Id -> Maybe CoreExpr
forall a. VarEnv a -> Id -> Maybe a
lookupVarEnv IdSubstEnv
ids       Id
v = CoreExpr
e
  | Just v' :: Id
v' <- InScopeSet -> Id -> Maybe Id
lookupInScope InScopeSet
in_scope Id
v = Id -> CoreExpr
forall b. Id -> Expr b
Var Id
v'
        -- Vital! See Note [Extending the Subst]
  | Bool
otherwise = WARN( True, text "CoreSubst.lookupIdSubst" <+> doc <+> ppr v
                            $$ ppr in_scope)
                Id -> CoreExpr
forall b. Id -> Expr b
Var Id
v

-- | Find the substitution for a 'TyVar' in the 'Subst'
lookupTCvSubst :: Subst -> TyVar -> Type
lookupTCvSubst :: Subst -> Id -> Type
lookupTCvSubst (Subst _ _ tvs :: TvSubstEnv
tvs cvs :: CvSubstEnv
cvs) v :: Id
v
  | Id -> Bool
isTyVar Id
v
  = TvSubstEnv -> Id -> Maybe Type
forall a. VarEnv a -> Id -> Maybe a
lookupVarEnv TvSubstEnv
tvs Id
v Maybe Type -> Type -> Type
forall a. Maybe a -> a -> a
`orElse` Id -> Type
Type.mkTyVarTy Id
v
  | Bool
otherwise
  = Coercion -> Type
mkCoercionTy (Coercion -> Type) -> Coercion -> Type
forall a b. (a -> b) -> a -> b
$ CvSubstEnv -> Id -> Maybe Coercion
forall a. VarEnv a -> Id -> Maybe a
lookupVarEnv CvSubstEnv
cvs Id
v Maybe Coercion -> Coercion -> Coercion
forall a. Maybe a -> a -> a
`orElse` Id -> Coercion
mkCoVarCo Id
v

delBndr :: Subst -> Var -> Subst
delBndr :: Subst -> Id -> Subst
delBndr (Subst in_scope :: InScopeSet
in_scope ids :: IdSubstEnv
ids tvs :: TvSubstEnv
tvs cvs :: CvSubstEnv
cvs) v :: Id
v
  | Id -> Bool
isCoVar Id
v = InScopeSet -> IdSubstEnv -> TvSubstEnv -> CvSubstEnv -> Subst
Subst InScopeSet
in_scope IdSubstEnv
ids TvSubstEnv
tvs (CvSubstEnv -> Id -> CvSubstEnv
forall a. VarEnv a -> Id -> VarEnv a
delVarEnv CvSubstEnv
cvs Id
v)
  | Id -> Bool
isTyVar Id
v = InScopeSet -> IdSubstEnv -> TvSubstEnv -> CvSubstEnv -> Subst
Subst InScopeSet
in_scope IdSubstEnv
ids (TvSubstEnv -> Id -> TvSubstEnv
forall a. VarEnv a -> Id -> VarEnv a
delVarEnv TvSubstEnv
tvs Id
v) CvSubstEnv
cvs
  | Bool
otherwise = InScopeSet -> IdSubstEnv -> TvSubstEnv -> CvSubstEnv -> Subst
Subst InScopeSet
in_scope (IdSubstEnv -> Id -> IdSubstEnv
forall a. VarEnv a -> Id -> VarEnv a
delVarEnv IdSubstEnv
ids Id
v) TvSubstEnv
tvs CvSubstEnv
cvs

delBndrs :: Subst -> [Var] -> Subst
delBndrs :: Subst -> [Id] -> Subst
delBndrs (Subst in_scope :: InScopeSet
in_scope ids :: IdSubstEnv
ids tvs :: TvSubstEnv
tvs cvs :: CvSubstEnv
cvs) vs :: [Id]
vs
  = InScopeSet -> IdSubstEnv -> TvSubstEnv -> CvSubstEnv -> Subst
Subst InScopeSet
in_scope (IdSubstEnv -> [Id] -> IdSubstEnv
forall a. VarEnv a -> [Id] -> VarEnv a
delVarEnvList IdSubstEnv
ids [Id]
vs) (TvSubstEnv -> [Id] -> TvSubstEnv
forall a. VarEnv a -> [Id] -> VarEnv a
delVarEnvList TvSubstEnv
tvs [Id]
vs) (CvSubstEnv -> [Id] -> CvSubstEnv
forall a. VarEnv a -> [Id] -> VarEnv a
delVarEnvList CvSubstEnv
cvs [Id]
vs)
      -- Easiest thing is just delete all from all!

-- | Simultaneously substitute for a bunch of variables
--   No left-right shadowing
--   ie the substitution for   (\x \y. e) a1 a2
--      so neither x nor y scope over a1 a2
mkOpenSubst :: InScopeSet -> [(Var,CoreArg)] -> Subst
mkOpenSubst :: InScopeSet -> [(Id, CoreExpr)] -> Subst
mkOpenSubst in_scope :: InScopeSet
in_scope pairs :: [(Id, CoreExpr)]
pairs = InScopeSet -> IdSubstEnv -> TvSubstEnv -> CvSubstEnv -> Subst
Subst InScopeSet
in_scope
                                   ([(Id, CoreExpr)] -> IdSubstEnv
forall a. [(Id, a)] -> VarEnv a
mkVarEnv [(Id
id,CoreExpr
e)  | (id :: Id
id, e :: CoreExpr
e) <- [(Id, CoreExpr)]
pairs, Id -> Bool
isId Id
id])
                                   ([(Id, Type)] -> TvSubstEnv
forall a. [(Id, a)] -> VarEnv a
mkVarEnv [(Id
tv,Type
ty) | (tv :: Id
tv, Type ty :: Type
ty) <- [(Id, CoreExpr)]
pairs])
                                   ([(Id, Coercion)] -> CvSubstEnv
forall a. [(Id, a)] -> VarEnv a
mkVarEnv [(Id
v,Coercion
co)  | (v :: Id
v, Coercion co :: Coercion
co) <- [(Id, CoreExpr)]
pairs])

------------------------------
isInScope :: Var -> Subst -> Bool
isInScope :: Id -> Subst -> Bool
isInScope v :: Id
v (Subst in_scope :: InScopeSet
in_scope _ _ _) = Id
v Id -> InScopeSet -> Bool
`elemInScopeSet` InScopeSet
in_scope

-- | Add the 'Var' to the in-scope set, but do not remove
-- any existing substitutions for it
addInScopeSet :: Subst -> VarSet -> Subst
addInScopeSet :: Subst -> VarSet -> Subst
addInScopeSet (Subst in_scope :: InScopeSet
in_scope ids :: IdSubstEnv
ids tvs :: TvSubstEnv
tvs cvs :: CvSubstEnv
cvs) vs :: VarSet
vs
  = InScopeSet -> IdSubstEnv -> TvSubstEnv -> CvSubstEnv -> Subst
Subst (InScopeSet
in_scope InScopeSet -> VarSet -> InScopeSet
`extendInScopeSetSet` VarSet
vs) IdSubstEnv
ids TvSubstEnv
tvs CvSubstEnv
cvs

-- | Add the 'Var' to the in-scope set: as a side effect,
-- and remove any existing substitutions for it
extendInScope :: Subst -> Var -> Subst
extendInScope :: Subst -> Id -> Subst
extendInScope (Subst in_scope :: InScopeSet
in_scope ids :: IdSubstEnv
ids tvs :: TvSubstEnv
tvs cvs :: CvSubstEnv
cvs) v :: Id
v
  = InScopeSet -> IdSubstEnv -> TvSubstEnv -> CvSubstEnv -> Subst
Subst (InScopeSet
in_scope InScopeSet -> Id -> InScopeSet
`extendInScopeSet` Id
v)
          (IdSubstEnv
ids IdSubstEnv -> Id -> IdSubstEnv
forall a. VarEnv a -> Id -> VarEnv a
`delVarEnv` Id
v) (TvSubstEnv
tvs TvSubstEnv -> Id -> TvSubstEnv
forall a. VarEnv a -> Id -> VarEnv a
`delVarEnv` Id
v) (CvSubstEnv
cvs CvSubstEnv -> Id -> CvSubstEnv
forall a. VarEnv a -> Id -> VarEnv a
`delVarEnv` Id
v)

-- | Add the 'Var's to the in-scope set: see also 'extendInScope'
extendInScopeList :: Subst -> [Var] -> Subst
extendInScopeList :: Subst -> [Id] -> Subst
extendInScopeList (Subst in_scope :: InScopeSet
in_scope ids :: IdSubstEnv
ids tvs :: TvSubstEnv
tvs cvs :: CvSubstEnv
cvs) vs :: [Id]
vs
  = InScopeSet -> IdSubstEnv -> TvSubstEnv -> CvSubstEnv -> Subst
Subst (InScopeSet
in_scope InScopeSet -> [Id] -> InScopeSet
`extendInScopeSetList` [Id]
vs)
          (IdSubstEnv
ids IdSubstEnv -> [Id] -> IdSubstEnv
forall a. VarEnv a -> [Id] -> VarEnv a
`delVarEnvList` [Id]
vs) (TvSubstEnv
tvs TvSubstEnv -> [Id] -> TvSubstEnv
forall a. VarEnv a -> [Id] -> VarEnv a
`delVarEnvList` [Id]
vs) (CvSubstEnv
cvs CvSubstEnv -> [Id] -> CvSubstEnv
forall a. VarEnv a -> [Id] -> VarEnv a
`delVarEnvList` [Id]
vs)

-- | Optimized version of 'extendInScopeList' that can be used if you are certain
-- all the things being added are 'Id's and hence none are 'TyVar's or 'CoVar's
extendInScopeIds :: Subst -> [Id] -> Subst
extendInScopeIds :: Subst -> [Id] -> Subst
extendInScopeIds (Subst in_scope :: InScopeSet
in_scope ids :: IdSubstEnv
ids tvs :: TvSubstEnv
tvs cvs :: CvSubstEnv
cvs) vs :: [Id]
vs
  = InScopeSet -> IdSubstEnv -> TvSubstEnv -> CvSubstEnv -> Subst
Subst (InScopeSet
in_scope InScopeSet -> [Id] -> InScopeSet
`extendInScopeSetList` [Id]
vs)
          (IdSubstEnv
ids IdSubstEnv -> [Id] -> IdSubstEnv
forall a. VarEnv a -> [Id] -> VarEnv a
`delVarEnvList` [Id]
vs) TvSubstEnv
tvs CvSubstEnv
cvs

setInScope :: Subst -> InScopeSet -> Subst
setInScope :: Subst -> InScopeSet -> Subst
setInScope (Subst _ ids :: IdSubstEnv
ids tvs :: TvSubstEnv
tvs cvs :: CvSubstEnv
cvs) in_scope :: InScopeSet
in_scope = InScopeSet -> IdSubstEnv -> TvSubstEnv -> CvSubstEnv -> Subst
Subst InScopeSet
in_scope IdSubstEnv
ids TvSubstEnv
tvs CvSubstEnv
cvs

-- Pretty printing, for debugging only

instance Outputable Subst where
  ppr :: Subst -> SDoc
ppr (Subst in_scope :: InScopeSet
in_scope ids :: IdSubstEnv
ids tvs :: TvSubstEnv
tvs cvs :: CvSubstEnv
cvs)
        =  String -> SDoc
text "<InScope =" SDoc -> SDoc -> SDoc
<+> SDoc
in_scope_doc
        SDoc -> SDoc -> SDoc
$$ String -> SDoc
text " IdSubst   =" SDoc -> SDoc -> SDoc
<+> IdSubstEnv -> SDoc
forall a. Outputable a => a -> SDoc
ppr IdSubstEnv
ids
        SDoc -> SDoc -> SDoc
$$ String -> SDoc
text " TvSubst   =" SDoc -> SDoc -> SDoc
<+> TvSubstEnv -> SDoc
forall a. Outputable a => a -> SDoc
ppr TvSubstEnv
tvs
        SDoc -> SDoc -> SDoc
$$ String -> SDoc
text " CvSubst   =" SDoc -> SDoc -> SDoc
<+> CvSubstEnv -> SDoc
forall a. Outputable a => a -> SDoc
ppr CvSubstEnv
cvs
         SDoc -> SDoc -> SDoc
<> Char -> SDoc
char '>'
    where
    in_scope_doc :: SDoc
in_scope_doc = VarSet -> ([Id] -> SDoc) -> SDoc
pprVarSet (InScopeSet -> VarSet
getInScopeVars InScopeSet
in_scope) (SDoc -> SDoc
braces (SDoc -> SDoc) -> ([Id] -> SDoc) -> [Id] -> SDoc
forall b c a. (b -> c) -> (a -> b) -> a -> c
. [SDoc] -> SDoc
fsep ([SDoc] -> SDoc) -> ([Id] -> [SDoc]) -> [Id] -> SDoc
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (Id -> SDoc) -> [Id] -> [SDoc]
forall a b. (a -> b) -> [a] -> [b]
map Id -> SDoc
forall a. Outputable a => a -> SDoc
ppr)

{-
************************************************************************
*                                                                      *
        Substituting expressions
*                                                                      *
************************************************************************
-}

-- | Apply a substitution to an entire 'CoreExpr'. Remember, you may only
-- apply the substitution /once/:
-- see Note [Substitutions apply only once] in TyCoRep
--
-- Do *not* attempt to short-cut in the case of an empty substitution!
-- See Note [Extending the Subst]
substExprSC :: SDoc -> Subst -> CoreExpr -> CoreExpr
substExprSC :: SDoc -> Subst -> CoreExpr -> CoreExpr
substExprSC doc :: SDoc
doc subst :: Subst
subst orig_expr :: CoreExpr
orig_expr
  | Subst -> Bool
isEmptySubst Subst
subst = CoreExpr
orig_expr
  | Bool
otherwise          = -- pprTrace "enter subst-expr" (doc $$ ppr orig_expr) $
                         SDoc -> Subst -> CoreExpr -> CoreExpr
subst_expr SDoc
doc Subst
subst CoreExpr
orig_expr

substExpr :: SDoc -> Subst -> CoreExpr -> CoreExpr
substExpr :: SDoc -> Subst -> CoreExpr -> CoreExpr
substExpr doc :: SDoc
doc subst :: Subst
subst orig_expr :: CoreExpr
orig_expr = SDoc -> Subst -> CoreExpr -> CoreExpr
subst_expr SDoc
doc Subst
subst CoreExpr
orig_expr

subst_expr :: SDoc -> Subst -> CoreExpr -> CoreExpr
subst_expr :: SDoc -> Subst -> CoreExpr -> CoreExpr
subst_expr doc :: SDoc
doc subst :: Subst
subst expr :: CoreExpr
expr
  = CoreExpr -> CoreExpr
go CoreExpr
expr
  where
    go :: CoreExpr -> CoreExpr
go (Var v :: Id
v)         = SDoc -> Subst -> Id -> CoreExpr
lookupIdSubst (SDoc
doc SDoc -> SDoc -> SDoc
$$ String -> SDoc
text "subst_expr") Subst
subst Id
v
    go (Type ty :: Type
ty)       = Type -> CoreExpr
forall b. Type -> Expr b
Type (Subst -> Type -> Type
substTy Subst
subst Type
ty)
    go (Coercion co :: Coercion
co)   = Coercion -> CoreExpr
forall b. Coercion -> Expr b
Coercion (Subst -> Coercion -> Coercion
substCo Subst
subst Coercion
co)
    go (Lit lit :: Literal
lit)       = Literal -> CoreExpr
forall b. Literal -> Expr b
Lit Literal
lit
    go (App fun :: CoreExpr
fun arg :: CoreExpr
arg)   = CoreExpr -> CoreExpr -> CoreExpr
forall b. Expr b -> Expr b -> Expr b
App (CoreExpr -> CoreExpr
go CoreExpr
fun) (CoreExpr -> CoreExpr
go CoreExpr
arg)
    go (Tick tickish :: Tickish Id
tickish e :: CoreExpr
e) = Tickish Id -> CoreExpr -> CoreExpr
mkTick (Subst -> Tickish Id -> Tickish Id
substTickish Subst
subst Tickish Id
tickish) (CoreExpr -> CoreExpr
go CoreExpr
e)
    go (Cast e :: CoreExpr
e co :: Coercion
co)     = CoreExpr -> Coercion -> CoreExpr
forall b. Expr b -> Coercion -> Expr b
Cast (CoreExpr -> CoreExpr
go CoreExpr
e) (Subst -> Coercion -> Coercion
substCo Subst
subst Coercion
co)
       -- Do not optimise even identity coercions
       -- Reason: substitution applies to the LHS of RULES, and
       --         if you "optimise" an identity coercion, you may
       --         lose a binder. We optimise the LHS of rules at
       --         construction time

    go (Lam bndr :: Id
bndr body :: CoreExpr
body) = Id -> CoreExpr -> CoreExpr
forall b. b -> Expr b -> Expr b
Lam Id
bndr' (SDoc -> Subst -> CoreExpr -> CoreExpr
subst_expr SDoc
doc Subst
subst' CoreExpr
body)
                       where
                         (subst' :: Subst
subst', bndr' :: Id
bndr') = Subst -> Id -> (Subst, Id)
substBndr Subst
subst Id
bndr

    go (Let bind :: Bind Id
bind body :: CoreExpr
body) = Bind Id -> CoreExpr -> CoreExpr
forall b. Bind b -> Expr b -> Expr b
Let Bind Id
bind' (SDoc -> Subst -> CoreExpr -> CoreExpr
subst_expr SDoc
doc Subst
subst' CoreExpr
body)
                       where
                         (subst' :: Subst
subst', bind' :: Bind Id
bind') = Subst -> Bind Id -> (Subst, Bind Id)
substBind Subst
subst Bind Id
bind

    go (Case scrut :: CoreExpr
scrut bndr :: Id
bndr ty :: Type
ty alts :: [Alt Id]
alts) = CoreExpr -> Id -> Type -> [Alt Id] -> CoreExpr
forall b. Expr b -> b -> Type -> [Alt b] -> Expr b
Case (CoreExpr -> CoreExpr
go CoreExpr
scrut) Id
bndr' (Subst -> Type -> Type
substTy Subst
subst Type
ty) ((Alt Id -> Alt Id) -> [Alt Id] -> [Alt Id]
forall a b. (a -> b) -> [a] -> [b]
map (Subst -> Alt Id -> Alt Id
forall a. Subst -> (a, [Id], CoreExpr) -> (a, [Id], CoreExpr)
go_alt Subst
subst') [Alt Id]
alts)
                                 where
                                 (subst' :: Subst
subst', bndr' :: Id
bndr') = Subst -> Id -> (Subst, Id)
substBndr Subst
subst Id
bndr

    go_alt :: Subst -> (a, [Id], CoreExpr) -> (a, [Id], CoreExpr)
go_alt subst :: Subst
subst (con :: a
con, bndrs :: [Id]
bndrs, rhs :: CoreExpr
rhs) = (a
con, [Id]
bndrs', SDoc -> Subst -> CoreExpr -> CoreExpr
subst_expr SDoc
doc Subst
subst' CoreExpr
rhs)
                                 where
                                   (subst' :: Subst
subst', bndrs' :: [Id]
bndrs') = Subst -> [Id] -> (Subst, [Id])
substBndrs Subst
subst [Id]
bndrs

-- | Apply a substitution to an entire 'CoreBind', additionally returning an updated 'Subst'
-- that should be used by subsequent substitutions.
substBind, substBindSC :: Subst -> CoreBind -> (Subst, CoreBind)

substBindSC :: Subst -> Bind Id -> (Subst, Bind Id)
substBindSC subst :: Subst
subst bind :: Bind Id
bind    -- Short-cut if the substitution is empty
  | Bool -> Bool
not (Subst -> Bool
isEmptySubst Subst
subst)
  = Subst -> Bind Id -> (Subst, Bind Id)
substBind Subst
subst Bind Id
bind
  | Bool
otherwise
  = case Bind Id
bind of
       NonRec bndr :: Id
bndr rhs :: CoreExpr
rhs -> (Subst
subst', Id -> CoreExpr -> Bind Id
forall b. b -> Expr b -> Bind b
NonRec Id
bndr' CoreExpr
rhs)
          where
            (subst' :: Subst
subst', bndr' :: Id
bndr') = Subst -> Id -> (Subst, Id)
substBndr Subst
subst Id
bndr
       Rec pairs :: [(Id, CoreExpr)]
pairs -> (Subst
subst', [(Id, CoreExpr)] -> Bind Id
forall b. [(b, Expr b)] -> Bind b
Rec ([Id]
bndrs' [Id] -> [CoreExpr] -> [(Id, CoreExpr)]
forall a b. [a] -> [b] -> [(a, b)]
`zip` [CoreExpr]
rhss'))
          where
            (bndrs :: [Id]
bndrs, rhss :: [CoreExpr]
rhss)    = [(Id, CoreExpr)] -> ([Id], [CoreExpr])
forall a b. [(a, b)] -> ([a], [b])
unzip [(Id, CoreExpr)]
pairs
            (subst' :: Subst
subst', bndrs' :: [Id]
bndrs') = Subst -> [Id] -> (Subst, [Id])
substRecBndrs Subst
subst [Id]
bndrs
            rhss' :: [CoreExpr]
rhss' | Subst -> Bool
isEmptySubst Subst
subst'
                  = [CoreExpr]
rhss
                  | Bool
otherwise
                  = (CoreExpr -> CoreExpr) -> [CoreExpr] -> [CoreExpr]
forall a b. (a -> b) -> [a] -> [b]
map (SDoc -> Subst -> CoreExpr -> CoreExpr
subst_expr (String -> SDoc
text "substBindSC") Subst
subst') [CoreExpr]
rhss

substBind :: Subst -> Bind Id -> (Subst, Bind Id)
substBind subst :: Subst
subst (NonRec bndr :: Id
bndr rhs :: CoreExpr
rhs)
  = (Subst
subst', Id -> CoreExpr -> Bind Id
forall b. b -> Expr b -> Bind b
NonRec Id
bndr' (SDoc -> Subst -> CoreExpr -> CoreExpr
subst_expr (String -> SDoc
text "substBind") Subst
subst CoreExpr
rhs))
  where
    (subst' :: Subst
subst', bndr' :: Id
bndr') = Subst -> Id -> (Subst, Id)
substBndr Subst
subst Id
bndr

substBind subst :: Subst
subst (Rec pairs :: [(Id, CoreExpr)]
pairs)
   = (Subst
subst', [(Id, CoreExpr)] -> Bind Id
forall b. [(b, Expr b)] -> Bind b
Rec ([Id]
bndrs' [Id] -> [CoreExpr] -> [(Id, CoreExpr)]
forall a b. [a] -> [b] -> [(a, b)]
`zip` [CoreExpr]
rhss'))
   where
       (bndrs :: [Id]
bndrs, rhss :: [CoreExpr]
rhss)    = [(Id, CoreExpr)] -> ([Id], [CoreExpr])
forall a b. [(a, b)] -> ([a], [b])
unzip [(Id, CoreExpr)]
pairs
       (subst' :: Subst
subst', bndrs' :: [Id]
bndrs') = Subst -> [Id] -> (Subst, [Id])
substRecBndrs Subst
subst [Id]
bndrs
       rhss' :: [CoreExpr]
rhss' = (CoreExpr -> CoreExpr) -> [CoreExpr] -> [CoreExpr]
forall a b. (a -> b) -> [a] -> [b]
map (SDoc -> Subst -> CoreExpr -> CoreExpr
subst_expr (String -> SDoc
text "substBind") Subst
subst') [CoreExpr]
rhss

-- | De-shadowing the program is sometimes a useful pre-pass. It can be done simply
-- by running over the bindings with an empty substitution, because substitution
-- returns a result that has no-shadowing guaranteed.
--
-- (Actually, within a single /type/ there might still be shadowing, because
-- 'substTy' is a no-op for the empty substitution, but that's probably OK.)
--
-- [Aug 09] This function is not used in GHC at the moment, but seems so
--          short and simple that I'm going to leave it here
deShadowBinds :: CoreProgram -> CoreProgram
deShadowBinds :: CoreProgram -> CoreProgram
deShadowBinds binds :: CoreProgram
binds = (Subst, CoreProgram) -> CoreProgram
forall a b. (a, b) -> b
snd ((Subst -> Bind Id -> (Subst, Bind Id))
-> Subst -> CoreProgram -> (Subst, CoreProgram)
forall (t :: * -> *) a b c.
Traversable t =>
(a -> b -> (a, c)) -> a -> t b -> (a, t c)
mapAccumL Subst -> Bind Id -> (Subst, Bind Id)
substBind Subst
emptySubst CoreProgram
binds)

{-
************************************************************************
*                                                                      *
        Substituting binders
*                                                                      *
************************************************************************

Remember that substBndr and friends are used when doing expression
substitution only.  Their only business is substitution, so they
preserve all IdInfo (suitably substituted).  For example, we *want* to
preserve occ info in rules.
-}

-- | Substitutes a 'Var' for another one according to the 'Subst' given, returning
-- the result and an updated 'Subst' that should be used by subsequent substitutions.
-- 'IdInfo' is preserved by this process, although it is substituted into appropriately.
substBndr :: Subst -> Var -> (Subst, Var)
substBndr :: Subst -> Id -> (Subst, Id)
substBndr subst :: Subst
subst bndr :: Id
bndr
  | Id -> Bool
isTyVar Id
bndr  = Subst -> Id -> (Subst, Id)
substTyVarBndr Subst
subst Id
bndr
  | Id -> Bool
isCoVar Id
bndr  = Subst -> Id -> (Subst, Id)
substCoVarBndr Subst
subst Id
bndr
  | Bool
otherwise     = SDoc -> Subst -> Subst -> Id -> (Subst, Id)
substIdBndr (String -> SDoc
text "var-bndr") Subst
subst Subst
subst Id
bndr

-- | Applies 'substBndr' to a number of 'Var's, accumulating a new 'Subst' left-to-right
substBndrs :: Subst -> [Var] -> (Subst, [Var])
substBndrs :: Subst -> [Id] -> (Subst, [Id])
substBndrs subst :: Subst
subst bndrs :: [Id]
bndrs = (Subst -> Id -> (Subst, Id)) -> Subst -> [Id] -> (Subst, [Id])
forall (t :: * -> *) a b c.
Traversable t =>
(a -> b -> (a, c)) -> a -> t b -> (a, t c)
mapAccumL Subst -> Id -> (Subst, Id)
substBndr Subst
subst [Id]
bndrs

-- | Substitute in a mutually recursive group of 'Id's
substRecBndrs :: Subst -> [Id] -> (Subst, [Id])
substRecBndrs :: Subst -> [Id] -> (Subst, [Id])
substRecBndrs subst :: Subst
subst bndrs :: [Id]
bndrs
  = (Subst
new_subst, [Id]
new_bndrs)
  where         -- Here's the reason we need to pass rec_subst to subst_id
    (new_subst :: Subst
new_subst, new_bndrs :: [Id]
new_bndrs) = (Subst -> Id -> (Subst, Id)) -> Subst -> [Id] -> (Subst, [Id])
forall (t :: * -> *) a b c.
Traversable t =>
(a -> b -> (a, c)) -> a -> t b -> (a, t c)
mapAccumL (SDoc -> Subst -> Subst -> Id -> (Subst, Id)
substIdBndr (String -> SDoc
text "rec-bndr") Subst
new_subst) Subst
subst [Id]
bndrs

substIdBndr :: SDoc
            -> Subst            -- ^ Substitution to use for the IdInfo
            -> Subst -> Id      -- ^ Substitution and Id to transform
            -> (Subst, Id)      -- ^ Transformed pair
                                -- NB: unfolding may be zapped

substIdBndr :: SDoc -> Subst -> Subst -> Id -> (Subst, Id)
substIdBndr _doc :: SDoc
_doc rec_subst :: Subst
rec_subst subst :: Subst
subst@(Subst in_scope :: InScopeSet
in_scope env :: IdSubstEnv
env tvs :: TvSubstEnv
tvs cvs :: CvSubstEnv
cvs) old_id :: Id
old_id
  = -- pprTrace "substIdBndr" (doc $$ ppr old_id $$ ppr in_scope) $
    (InScopeSet -> IdSubstEnv -> TvSubstEnv -> CvSubstEnv -> Subst
Subst (InScopeSet
in_scope InScopeSet -> Id -> InScopeSet
`extendInScopeSet` Id
new_id) IdSubstEnv
new_env TvSubstEnv
tvs CvSubstEnv
cvs, Id
new_id)
  where
    id1 :: Id
id1 = InScopeSet -> Id -> Id
uniqAway InScopeSet
in_scope Id
old_id      -- id1 is cloned if necessary
    id2 :: Id
id2 | Bool
no_type_change = Id
id1
        | Bool
otherwise      = Id -> Type -> Id
setIdType Id
id1 (Subst -> Type -> Type
substTy Subst
subst Type
old_ty)

    old_ty :: Type
old_ty = Id -> Type
idType Id
old_id
    no_type_change :: Bool
no_type_change = (TvSubstEnv -> Bool
forall a. VarEnv a -> Bool
isEmptyVarEnv TvSubstEnv
tvs Bool -> Bool -> Bool
&& CvSubstEnv -> Bool
forall a. VarEnv a -> Bool
isEmptyVarEnv CvSubstEnv
cvs) Bool -> Bool -> Bool
||
                     Type -> Bool
noFreeVarsOfType Type
old_ty

        -- new_id has the right IdInfo
        -- The lazy-set is because we're in a loop here, with
        -- rec_subst, when dealing with a mutually-recursive group
    new_id :: Id
new_id = Maybe IdInfo -> Id -> Id
maybeModifyIdInfo Maybe IdInfo
mb_new_info Id
id2
    mb_new_info :: Maybe IdInfo
mb_new_info = Subst -> Id -> IdInfo -> Maybe IdInfo
substIdInfo Subst
rec_subst Id
id2 (HasDebugCallStack => Id -> IdInfo
Id -> IdInfo
idInfo Id
id2)
        -- NB: unfolding info may be zapped

        -- Extend the substitution if the unique has changed
        -- See the notes with substTyVarBndr for the delVarEnv
    new_env :: IdSubstEnv
new_env | Bool
no_change = IdSubstEnv -> Id -> IdSubstEnv
forall a. VarEnv a -> Id -> VarEnv a
delVarEnv IdSubstEnv
env Id
old_id
            | Bool
otherwise = IdSubstEnv -> Id -> CoreExpr -> IdSubstEnv
forall a. VarEnv a -> Id -> a -> VarEnv a
extendVarEnv IdSubstEnv
env Id
old_id (Id -> CoreExpr
forall b. Id -> Expr b
Var Id
new_id)

    no_change :: Bool
no_change = Id
id1 Id -> Id -> Bool
forall a. Eq a => a -> a -> Bool
== Id
old_id
        -- See Note [Extending the Subst]
        -- it's /not/ necessary to check mb_new_info and no_type_change

{-
Now a variant that unconditionally allocates a new unique.
It also unconditionally zaps the OccInfo.
-}

-- | Very similar to 'substBndr', but it always allocates a new 'Unique' for
-- each variable in its output.  It substitutes the IdInfo though.
cloneIdBndr :: Subst -> UniqSupply -> Id -> (Subst, Id)
cloneIdBndr :: Subst -> UniqSupply -> Id -> (Subst, Id)
cloneIdBndr subst :: Subst
subst us :: UniqSupply
us old_id :: Id
old_id
  = Subst -> Subst -> (Id, Unique) -> (Subst, Id)
clone_id Subst
subst Subst
subst (Id
old_id, UniqSupply -> Unique
uniqFromSupply UniqSupply
us)

-- | Applies 'cloneIdBndr' to a number of 'Id's, accumulating a final
-- substitution from left to right
cloneIdBndrs :: Subst -> UniqSupply -> [Id] -> (Subst, [Id])
cloneIdBndrs :: Subst -> UniqSupply -> [Id] -> (Subst, [Id])
cloneIdBndrs subst :: Subst
subst us :: UniqSupply
us ids :: [Id]
ids
  = (Subst -> (Id, Unique) -> (Subst, Id))
-> Subst -> [(Id, Unique)] -> (Subst, [Id])
forall (t :: * -> *) a b c.
Traversable t =>
(a -> b -> (a, c)) -> a -> t b -> (a, t c)
mapAccumL (Subst -> Subst -> (Id, Unique) -> (Subst, Id)
clone_id Subst
subst) Subst
subst ([Id]
ids [Id] -> [Unique] -> [(Id, Unique)]
forall a b. [a] -> [b] -> [(a, b)]
`zip` UniqSupply -> [Unique]
uniqsFromSupply UniqSupply
us)

cloneBndrs :: Subst -> UniqSupply -> [Var] -> (Subst, [Var])
-- Works for all kinds of variables (typically case binders)
-- not just Ids
cloneBndrs :: Subst -> UniqSupply -> [Id] -> (Subst, [Id])
cloneBndrs subst :: Subst
subst us :: UniqSupply
us vs :: [Id]
vs
  = (Subst -> (Id, Unique) -> (Subst, Id))
-> Subst -> [(Id, Unique)] -> (Subst, [Id])
forall (t :: * -> *) a b c.
Traversable t =>
(a -> b -> (a, c)) -> a -> t b -> (a, t c)
mapAccumL (\subst :: Subst
subst (v :: Id
v, u :: Unique
u) -> Subst -> Unique -> Id -> (Subst, Id)
cloneBndr Subst
subst Unique
u Id
v) Subst
subst ([Id]
vs [Id] -> [Unique] -> [(Id, Unique)]
forall a b. [a] -> [b] -> [(a, b)]
`zip` UniqSupply -> [Unique]
uniqsFromSupply UniqSupply
us)

cloneBndr :: Subst -> Unique -> Var -> (Subst, Var)
cloneBndr :: Subst -> Unique -> Id -> (Subst, Id)
cloneBndr subst :: Subst
subst uniq :: Unique
uniq v :: Id
v
  | Id -> Bool
isTyVar Id
v = Subst -> Id -> Unique -> (Subst, Id)
cloneTyVarBndr Subst
subst Id
v Unique
uniq
  | Bool
otherwise = Subst -> Subst -> (Id, Unique) -> (Subst, Id)
clone_id Subst
subst Subst
subst (Id
v,Unique
uniq)  -- Works for coercion variables too

-- | Clone a mutually recursive group of 'Id's
cloneRecIdBndrs :: Subst -> UniqSupply -> [Id] -> (Subst, [Id])
cloneRecIdBndrs :: Subst -> UniqSupply -> [Id] -> (Subst, [Id])
cloneRecIdBndrs subst :: Subst
subst us :: UniqSupply
us ids :: [Id]
ids
  = (Subst
subst', [Id]
ids')
  where
    (subst' :: Subst
subst', ids' :: [Id]
ids') = (Subst -> (Id, Unique) -> (Subst, Id))
-> Subst -> [(Id, Unique)] -> (Subst, [Id])
forall (t :: * -> *) a b c.
Traversable t =>
(a -> b -> (a, c)) -> a -> t b -> (a, t c)
mapAccumL (Subst -> Subst -> (Id, Unique) -> (Subst, Id)
clone_id Subst
subst') Subst
subst
                               ([Id]
ids [Id] -> [Unique] -> [(Id, Unique)]
forall a b. [a] -> [b] -> [(a, b)]
`zip` UniqSupply -> [Unique]
uniqsFromSupply UniqSupply
us)

-- Just like substIdBndr, except that it always makes a new unique
-- It is given the unique to use
clone_id    :: Subst                    -- Substitution for the IdInfo
            -> Subst -> (Id, Unique)    -- Substitution and Id to transform
            -> (Subst, Id)              -- Transformed pair

clone_id :: Subst -> Subst -> (Id, Unique) -> (Subst, Id)
clone_id rec_subst :: Subst
rec_subst subst :: Subst
subst@(Subst in_scope :: InScopeSet
in_scope idvs :: IdSubstEnv
idvs tvs :: TvSubstEnv
tvs cvs :: CvSubstEnv
cvs) (old_id :: Id
old_id, uniq :: Unique
uniq)
  = (InScopeSet -> IdSubstEnv -> TvSubstEnv -> CvSubstEnv -> Subst
Subst (InScopeSet
in_scope InScopeSet -> Id -> InScopeSet
`extendInScopeSet` Id
new_id) IdSubstEnv
new_idvs TvSubstEnv
tvs CvSubstEnv
new_cvs, Id
new_id)
  where
    id1 :: Id
id1     = Id -> Unique -> Id
setVarUnique Id
old_id Unique
uniq
    id2 :: Id
id2     = Subst -> Id -> Id
substIdType Subst
subst Id
id1
    new_id :: Id
new_id  = Maybe IdInfo -> Id -> Id
maybeModifyIdInfo (Subst -> Id -> IdInfo -> Maybe IdInfo
substIdInfo Subst
rec_subst Id
id2 (HasDebugCallStack => Id -> IdInfo
Id -> IdInfo
idInfo Id
old_id)) Id
id2
    (new_idvs :: IdSubstEnv
new_idvs, new_cvs :: CvSubstEnv
new_cvs) | Id -> Bool
isCoVar Id
old_id = (IdSubstEnv
idvs, CvSubstEnv -> Id -> Coercion -> CvSubstEnv
forall a. VarEnv a -> Id -> a -> VarEnv a
extendVarEnv CvSubstEnv
cvs Id
old_id (Id -> Coercion
mkCoVarCo Id
new_id))
                        | Bool
otherwise      = (IdSubstEnv -> Id -> CoreExpr -> IdSubstEnv
forall a. VarEnv a -> Id -> a -> VarEnv a
extendVarEnv IdSubstEnv
idvs Id
old_id (Id -> CoreExpr
forall b. Id -> Expr b
Var Id
new_id), CvSubstEnv
cvs)

{-
************************************************************************
*                                                                      *
                Types and Coercions
*                                                                      *
************************************************************************

For types and coercions we just call the corresponding functions in
Type and Coercion, but we have to repackage the substitution, from a
Subst to a TCvSubst.
-}

substTyVarBndr :: Subst -> TyVar -> (Subst, TyVar)
substTyVarBndr :: Subst -> Id -> (Subst, Id)
substTyVarBndr (Subst in_scope :: InScopeSet
in_scope id_env :: IdSubstEnv
id_env tv_env :: TvSubstEnv
tv_env cv_env :: CvSubstEnv
cv_env) tv :: Id
tv
  = case HasCallStack => TCvSubst -> Id -> (TCvSubst, Id)
TCvSubst -> Id -> (TCvSubst, Id)
Type.substTyVarBndr (InScopeSet -> TvSubstEnv -> CvSubstEnv -> TCvSubst
TCvSubst InScopeSet
in_scope TvSubstEnv
tv_env CvSubstEnv
cv_env) Id
tv of
        (TCvSubst in_scope' :: InScopeSet
in_scope' tv_env' :: TvSubstEnv
tv_env' cv_env' :: CvSubstEnv
cv_env', tv' :: Id
tv')
           -> (InScopeSet -> IdSubstEnv -> TvSubstEnv -> CvSubstEnv -> Subst
Subst InScopeSet
in_scope' IdSubstEnv
id_env TvSubstEnv
tv_env' CvSubstEnv
cv_env', Id
tv')

cloneTyVarBndr :: Subst -> TyVar -> Unique -> (Subst, TyVar)
cloneTyVarBndr :: Subst -> Id -> Unique -> (Subst, Id)
cloneTyVarBndr (Subst in_scope :: InScopeSet
in_scope id_env :: IdSubstEnv
id_env tv_env :: TvSubstEnv
tv_env cv_env :: CvSubstEnv
cv_env) tv :: Id
tv uniq :: Unique
uniq
  = case TCvSubst -> Id -> Unique -> (TCvSubst, Id)
Type.cloneTyVarBndr (InScopeSet -> TvSubstEnv -> CvSubstEnv -> TCvSubst
TCvSubst InScopeSet
in_scope TvSubstEnv
tv_env CvSubstEnv
cv_env) Id
tv Unique
uniq of
        (TCvSubst in_scope' :: InScopeSet
in_scope' tv_env' :: TvSubstEnv
tv_env' cv_env' :: CvSubstEnv
cv_env', tv' :: Id
tv')
           -> (InScopeSet -> IdSubstEnv -> TvSubstEnv -> CvSubstEnv -> Subst
Subst InScopeSet
in_scope' IdSubstEnv
id_env TvSubstEnv
tv_env' CvSubstEnv
cv_env', Id
tv')

substCoVarBndr :: Subst -> TyVar -> (Subst, TyVar)
substCoVarBndr :: Subst -> Id -> (Subst, Id)
substCoVarBndr (Subst in_scope :: InScopeSet
in_scope id_env :: IdSubstEnv
id_env tv_env :: TvSubstEnv
tv_env cv_env :: CvSubstEnv
cv_env) cv :: Id
cv
  = case HasCallStack => TCvSubst -> Id -> (TCvSubst, Id)
TCvSubst -> Id -> (TCvSubst, Id)
Coercion.substCoVarBndr (InScopeSet -> TvSubstEnv -> CvSubstEnv -> TCvSubst
TCvSubst InScopeSet
in_scope TvSubstEnv
tv_env CvSubstEnv
cv_env) Id
cv of
        (TCvSubst in_scope' :: InScopeSet
in_scope' tv_env' :: TvSubstEnv
tv_env' cv_env' :: CvSubstEnv
cv_env', cv' :: Id
cv')
           -> (InScopeSet -> IdSubstEnv -> TvSubstEnv -> CvSubstEnv -> Subst
Subst InScopeSet
in_scope' IdSubstEnv
id_env TvSubstEnv
tv_env' CvSubstEnv
cv_env', Id
cv')

-- | See 'Type.substTy'
substTy :: Subst -> Type -> Type
substTy :: Subst -> Type -> Type
substTy subst :: Subst
subst ty :: Type
ty = TCvSubst -> Type -> Type
Type.substTyUnchecked (Subst -> TCvSubst
getTCvSubst Subst
subst) Type
ty

getTCvSubst :: Subst -> TCvSubst
getTCvSubst :: Subst -> TCvSubst
getTCvSubst (Subst in_scope :: InScopeSet
in_scope _ tenv :: TvSubstEnv
tenv cenv :: CvSubstEnv
cenv) = InScopeSet -> TvSubstEnv -> CvSubstEnv -> TCvSubst
TCvSubst InScopeSet
in_scope TvSubstEnv
tenv CvSubstEnv
cenv

-- | See 'Coercion.substCo'
substCo :: Subst -> Coercion -> Coercion
substCo :: Subst -> Coercion -> Coercion
substCo subst :: Subst
subst co :: Coercion
co = HasCallStack => TCvSubst -> Coercion -> Coercion
TCvSubst -> Coercion -> Coercion
Coercion.substCo (Subst -> TCvSubst
getTCvSubst Subst
subst) Coercion
co

{-
************************************************************************
*                                                                      *
\section{IdInfo substitution}
*                                                                      *
************************************************************************
-}

substIdType :: Subst -> Id -> Id
substIdType :: Subst -> Id -> Id
substIdType subst :: Subst
subst@(Subst _ _ tv_env :: TvSubstEnv
tv_env cv_env :: CvSubstEnv
cv_env) id :: Id
id
  | (TvSubstEnv -> Bool
forall a. VarEnv a -> Bool
isEmptyVarEnv TvSubstEnv
tv_env Bool -> Bool -> Bool
&& CvSubstEnv -> Bool
forall a. VarEnv a -> Bool
isEmptyVarEnv CvSubstEnv
cv_env) Bool -> Bool -> Bool
|| Type -> Bool
noFreeVarsOfType Type
old_ty = Id
id
  | Bool
otherwise   = Id -> Type -> Id
setIdType Id
id (Subst -> Type -> Type
substTy Subst
subst Type
old_ty)
                -- The tyCoVarsOfType is cheaper than it looks
                -- because we cache the free tyvars of the type
                -- in a Note in the id's type itself
  where
    old_ty :: Type
old_ty = Id -> Type
idType Id
id

------------------
-- | Substitute into some 'IdInfo' with regard to the supplied new 'Id'.
substIdInfo :: Subst -> Id -> IdInfo -> Maybe IdInfo
substIdInfo :: Subst -> Id -> IdInfo -> Maybe IdInfo
substIdInfo subst :: Subst
subst new_id :: Id
new_id info :: IdInfo
info
  | Bool
nothing_to_do = Maybe IdInfo
forall a. Maybe a
Nothing
  | Bool
otherwise     = IdInfo -> Maybe IdInfo
forall a. a -> Maybe a
Just (IdInfo
info IdInfo -> RuleInfo -> IdInfo
`setRuleInfo`      Subst -> Id -> RuleInfo -> RuleInfo
substSpec Subst
subst Id
new_id RuleInfo
old_rules
                               IdInfo -> Unfolding -> IdInfo
`setUnfoldingInfo` Subst -> Unfolding -> Unfolding
substUnfolding Subst
subst Unfolding
old_unf)
  where
    old_rules :: RuleInfo
old_rules     = IdInfo -> RuleInfo
ruleInfo IdInfo
info
    old_unf :: Unfolding
old_unf       = IdInfo -> Unfolding
unfoldingInfo IdInfo
info
    nothing_to_do :: Bool
nothing_to_do = RuleInfo -> Bool
isEmptyRuleInfo RuleInfo
old_rules Bool -> Bool -> Bool
&& Bool -> Bool
not (Unfolding -> Bool
isFragileUnfolding Unfolding
old_unf)

------------------
-- | Substitutes for the 'Id's within an unfolding
substUnfolding, substUnfoldingSC :: Subst -> Unfolding -> Unfolding
        -- Seq'ing on the returned Unfolding is enough to cause
        -- all the substitutions to happen completely

substUnfoldingSC :: Subst -> Unfolding -> Unfolding
substUnfoldingSC subst :: Subst
subst unf :: Unfolding
unf       -- Short-cut version
  | Subst -> Bool
isEmptySubst Subst
subst = Unfolding
unf
  | Bool
otherwise          = Subst -> Unfolding -> Unfolding
substUnfolding Subst
subst Unfolding
unf

substUnfolding :: Subst -> Unfolding -> Unfolding
substUnfolding subst :: Subst
subst df :: Unfolding
df@(DFunUnfolding { df_bndrs :: Unfolding -> [Id]
df_bndrs = [Id]
bndrs, df_args :: Unfolding -> [CoreExpr]
df_args = [CoreExpr]
args })
  = Unfolding
df { df_bndrs :: [Id]
df_bndrs = [Id]
bndrs', df_args :: [CoreExpr]
df_args = [CoreExpr]
args' }
  where
    (subst' :: Subst
subst',bndrs' :: [Id]
bndrs') = Subst -> [Id] -> (Subst, [Id])
substBndrs Subst
subst [Id]
bndrs
    args' :: [CoreExpr]
args'           = (CoreExpr -> CoreExpr) -> [CoreExpr] -> [CoreExpr]
forall a b. (a -> b) -> [a] -> [b]
map (SDoc -> Subst -> CoreExpr -> CoreExpr
substExpr (String -> SDoc
text "subst-unf:dfun") Subst
subst') [CoreExpr]
args

substUnfolding subst :: Subst
subst unf :: Unfolding
unf@(CoreUnfolding { uf_tmpl :: Unfolding -> CoreExpr
uf_tmpl = CoreExpr
tmpl, uf_src :: Unfolding -> UnfoldingSource
uf_src = UnfoldingSource
src })
        -- Retain an InlineRule!
  | Bool -> Bool
not (UnfoldingSource -> Bool
isStableSource UnfoldingSource
src)  -- Zap an unstable unfolding, to save substitution work
  = Unfolding
NoUnfolding
  | Bool
otherwise                 -- But keep a stable one!
  = CoreExpr -> ()
seqExpr CoreExpr
new_tmpl () -> Unfolding -> Unfolding
forall a b. a -> b -> b
`seq`
    Unfolding
unf { uf_tmpl :: CoreExpr
uf_tmpl = CoreExpr
new_tmpl }
  where
    new_tmpl :: CoreExpr
new_tmpl = SDoc -> Subst -> CoreExpr -> CoreExpr
substExpr (String -> SDoc
text "subst-unf") Subst
subst CoreExpr
tmpl

substUnfolding _ unf :: Unfolding
unf = Unfolding
unf      -- NoUnfolding, OtherCon

------------------
substIdOcc :: Subst -> Id -> Id
-- These Ids should not be substituted to non-Ids
substIdOcc :: Subst -> Id -> Id
substIdOcc subst :: Subst
subst v :: Id
v = case SDoc -> Subst -> Id -> CoreExpr
lookupIdSubst (String -> SDoc
text "substIdOcc") Subst
subst Id
v of
                        Var v' :: Id
v' -> Id
v'
                        other :: CoreExpr
other  -> String -> SDoc -> Id
forall a. HasCallStack => String -> SDoc -> a
pprPanic "substIdOcc" ([SDoc] -> SDoc
vcat [Id -> SDoc
forall a. Outputable a => a -> SDoc
ppr Id
v SDoc -> SDoc -> SDoc
<+> CoreExpr -> SDoc
forall a. Outputable a => a -> SDoc
ppr CoreExpr
other, Subst -> SDoc
forall a. Outputable a => a -> SDoc
ppr Subst
subst])

------------------
-- | Substitutes for the 'Id's within the 'WorkerInfo' given the new function 'Id'
substSpec :: Subst -> Id -> RuleInfo -> RuleInfo
substSpec :: Subst -> Id -> RuleInfo -> RuleInfo
substSpec subst :: Subst
subst new_id :: Id
new_id (RuleInfo rules :: [CoreRule]
rules rhs_fvs :: DVarSet
rhs_fvs)
  = RuleInfo -> ()
seqRuleInfo RuleInfo
new_spec () -> RuleInfo -> RuleInfo
forall a b. a -> b -> b
`seq` RuleInfo
new_spec
  where
    subst_ru_fn :: b -> Name
subst_ru_fn = Name -> b -> Name
forall a b. a -> b -> a
const (Id -> Name
idName Id
new_id)
    new_spec :: RuleInfo
new_spec = [CoreRule] -> DVarSet -> RuleInfo
RuleInfo ((CoreRule -> CoreRule) -> [CoreRule] -> [CoreRule]
forall a b. (a -> b) -> [a] -> [b]
map (Subst -> (Name -> Name) -> CoreRule -> CoreRule
substRule Subst
subst Name -> Name
forall b. b -> Name
subst_ru_fn) [CoreRule]
rules)
                        (Subst -> DVarSet -> DVarSet
substDVarSet Subst
subst DVarSet
rhs_fvs)

------------------
substRulesForImportedIds :: Subst -> [CoreRule] -> [CoreRule]
substRulesForImportedIds :: Subst -> [CoreRule] -> [CoreRule]
substRulesForImportedIds subst :: Subst
subst rules :: [CoreRule]
rules
  = (CoreRule -> CoreRule) -> [CoreRule] -> [CoreRule]
forall a b. (a -> b) -> [a] -> [b]
map (Subst -> (Name -> Name) -> CoreRule -> CoreRule
substRule Subst
subst Name -> Name
forall a a. Outputable a => a -> a
not_needed) [CoreRule]
rules
  where
    not_needed :: a -> a
not_needed name :: a
name = String -> SDoc -> a
forall a. HasCallStack => String -> SDoc -> a
pprPanic "substRulesForImportedIds" (a -> SDoc
forall a. Outputable a => a -> SDoc
ppr a
name)

------------------
substRule :: Subst -> (Name -> Name) -> CoreRule -> CoreRule

-- The subst_ru_fn argument is applied to substitute the ru_fn field
-- of the rule:
--    - Rules for *imported* Ids never change ru_fn
--    - Rules for *local* Ids are in the IdInfo for that Id,
--      and the ru_fn field is simply replaced by the new name
--      of the Id
substRule :: Subst -> (Name -> Name) -> CoreRule -> CoreRule
substRule _ _ rule :: CoreRule
rule@(BuiltinRule {}) = CoreRule
rule
substRule subst :: Subst
subst subst_ru_fn :: Name -> Name
subst_ru_fn rule :: CoreRule
rule@(Rule { ru_bndrs :: CoreRule -> [Id]
ru_bndrs = [Id]
bndrs, ru_args :: CoreRule -> [CoreExpr]
ru_args = [CoreExpr]
args
                                       , ru_fn :: CoreRule -> Name
ru_fn = Name
fn_name, ru_rhs :: CoreRule -> CoreExpr
ru_rhs = CoreExpr
rhs
                                       , ru_local :: CoreRule -> Bool
ru_local = Bool
is_local })
  = CoreRule
rule { ru_bndrs :: [Id]
ru_bndrs = [Id]
bndrs'
         , ru_fn :: Name
ru_fn    = if Bool
is_local
                        then Name -> Name
subst_ru_fn Name
fn_name
                        else Name
fn_name
         , ru_args :: [CoreExpr]
ru_args  = (CoreExpr -> CoreExpr) -> [CoreExpr] -> [CoreExpr]
forall a b. (a -> b) -> [a] -> [b]
map (SDoc -> Subst -> CoreExpr -> CoreExpr
substExpr SDoc
doc Subst
subst') [CoreExpr]
args
         , ru_rhs :: CoreExpr
ru_rhs   = SDoc -> Subst -> CoreExpr -> CoreExpr
substExpr (String -> SDoc
text "foo") Subst
subst' CoreExpr
rhs }
           -- Do NOT optimise the RHS (previously we did simplOptExpr here)
           -- See Note [Substitute lazily]
  where
    doc :: SDoc
doc = String -> SDoc
text "subst-rule" SDoc -> SDoc -> SDoc
<+> Name -> SDoc
forall a. Outputable a => a -> SDoc
ppr Name
fn_name
    (subst' :: Subst
subst', bndrs' :: [Id]
bndrs') = Subst -> [Id] -> (Subst, [Id])
substBndrs Subst
subst [Id]
bndrs

------------------
substDVarSet :: Subst -> DVarSet -> DVarSet
substDVarSet :: Subst -> DVarSet -> DVarSet
substDVarSet subst :: Subst
subst fvs :: DVarSet
fvs
  = [Id] -> DVarSet
mkDVarSet ([Id] -> DVarSet) -> [Id] -> DVarSet
forall a b. (a -> b) -> a -> b
$ ([Id], VarSet) -> [Id]
forall a b. (a, b) -> a
fst (([Id], VarSet) -> [Id]) -> ([Id], VarSet) -> [Id]
forall a b. (a -> b) -> a -> b
$ (Id -> ([Id], VarSet) -> ([Id], VarSet))
-> ([Id], VarSet) -> [Id] -> ([Id], VarSet)
forall (t :: * -> *) a b.
Foldable t =>
(a -> b -> b) -> b -> t a -> b
foldr (Subst -> Id -> ([Id], VarSet) -> ([Id], VarSet)
subst_fv Subst
subst) ([], VarSet
emptyVarSet) ([Id] -> ([Id], VarSet)) -> [Id] -> ([Id], VarSet)
forall a b. (a -> b) -> a -> b
$ DVarSet -> [Id]
dVarSetElems DVarSet
fvs
  where
  subst_fv :: Subst -> Id -> ([Id], VarSet) -> ([Id], VarSet)
subst_fv subst :: Subst
subst fv :: Id
fv acc :: ([Id], VarSet)
acc
     | Id -> Bool
isId Id
fv = CoreExpr -> FV
expr_fvs (SDoc -> Subst -> Id -> CoreExpr
lookupIdSubst (String -> SDoc
text "substDVarSet") Subst
subst Id
fv) Id -> Bool
isLocalVar VarSet
emptyVarSet (([Id], VarSet) -> ([Id], VarSet))
-> ([Id], VarSet) -> ([Id], VarSet)
forall a b. (a -> b) -> a -> b
$! ([Id], VarSet)
acc
     | Bool
otherwise = Type -> FV
tyCoFVsOfType (Subst -> Id -> Type
lookupTCvSubst Subst
subst Id
fv) (Bool -> Id -> Bool
forall a b. a -> b -> a
const Bool
True) VarSet
emptyVarSet (([Id], VarSet) -> ([Id], VarSet))
-> ([Id], VarSet) -> ([Id], VarSet)
forall a b. (a -> b) -> a -> b
$! ([Id], VarSet)
acc

------------------
substTickish :: Subst -> Tickish Id -> Tickish Id
substTickish :: Subst -> Tickish Id -> Tickish Id
substTickish subst :: Subst
subst (Breakpoint n :: Int
n ids :: [Id]
ids)
   = Int -> [Id] -> Tickish Id
forall id. Int -> [id] -> Tickish id
Breakpoint Int
n ((Id -> Id) -> [Id] -> [Id]
forall a b. (a -> b) -> [a] -> [b]
map Id -> Id
do_one [Id]
ids)
 where
    do_one :: Id -> Id
do_one = HasDebugCallStack => CoreExpr -> Id
CoreExpr -> Id
getIdFromTrivialExpr (CoreExpr -> Id) -> (Id -> CoreExpr) -> Id -> Id
forall b c a. (b -> c) -> (a -> b) -> a -> c
. SDoc -> Subst -> Id -> CoreExpr
lookupIdSubst (String -> SDoc
text "subst_tickish") Subst
subst
substTickish _subst :: Subst
_subst other :: Tickish Id
other = Tickish Id
other

{- Note [Substitute lazily]
~~~~~~~~~~~~~~~~~~~~~~~~~~~
The functions that substitute over IdInfo must be pretty lazy, because
they are knot-tied by substRecBndrs.

One case in point was Trac #10627 in which a rule for a function 'f'
referred to 'f' (at a different type) on the RHS.  But instead of just
substituting in the rhs of the rule, we were calling simpleOptExpr, which
looked at the idInfo for 'f'; result <<loop>>.

In any case we don't need to optimise the RHS of rules, or unfoldings,
because the simplifier will do that.


Note [substTickish]
~~~~~~~~~~~~~~~~~~~~~~
A Breakpoint contains a list of Ids.  What happens if we ever want to
substitute an expression for one of these Ids?

First, we ensure that we only ever substitute trivial expressions for
these Ids, by marking them as NoOccInfo in the occurrence analyser.
Then, when substituting for the Id, we unwrap any type applications
and abstractions to get back to an Id, with getIdFromTrivialExpr.

Second, we have to ensure that we never try to substitute a literal
for an Id in a breakpoint.  We ensure this by never storing an Id with
an unlifted type in a Breakpoint - see Coverage.mkTickish.
Breakpoints can't handle free variables with unlifted types anyway.
-}

{-
Note [Worker inlining]
~~~~~~~~~~~~~~~~~~~~~~
A worker can get sustituted away entirely.
        - it might be trivial
        - it might simply be very small
We do not treat an InlWrapper as an 'occurrence' in the occurrence
analyser, so it's possible that the worker is not even in scope any more.

In all all these cases we simply drop the special case, returning to
InlVanilla.  The WARN is just so I can see if it happens a lot.
-}