clafer-0.3.9: src/Language/Clafer/Intermediate/Desugarer.hs
{-# LANGUAGE RankNTypes #-}
{-
Copyright (C) 2012-2014 Kacper Bak, Jimmy Liang, Michal Antkiewicz, Paulius Juodisius <http://gsd.uwaterloo.ca>
Permission is hereby granted, free of charge, to any person obtaining a copy of
this software and associated documentation files (the "Software"), to deal in
the Software without restriction, including without limitation the rights to
use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies
of the Software, and to permit persons to whom the Software is furnished to do
so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
-}
{- | Transforms an Abstract Syntax Tree (AST) from "Language.Clafer.Front.AbsClafer"
into Intermediate representation (IR) from "Language.Clafer.Intermediate.Intclafer" of a Clafer model.
-}
module Language.Clafer.Intermediate.Desugarer where
import Language.Clafer.Common
import Data.Maybe (fromMaybe)
import Language.Clafer.Front.AbsClafer
import Language.Clafer.Intermediate.Intclafer
-- | Transform the AST into the intermediate representation (IR)
desugarModule :: Maybe String -> Module -> IModule
desugarModule mURL (Module _ declarations) = IModule
(fromMaybe "" mURL)
(declarations >>= desugarEnums >>= desugarDeclaration)
sugarModule :: IModule -> Module
sugarModule x = Module noSpan $ map sugarDeclaration $ _mDecls x -- (fragments x >>= mDecls)
-- | desugars enumeration to abstract and global singleton features
desugarEnums :: Declaration -> [Declaration]
desugarEnums (EnumDecl (Span p1 p2) id' enumids) = absEnum : map mkEnum enumids
where
p2' = case enumids of
-- the abstract enum clafer should end before the first literal begins
((EnumIdIdent (Span (Pos y' x') _) _):_) -> Pos y' (x'-3) -- cutting the ' = '
[] -> p2 -- should never happen - cannot have enum without any literals. Return the original end pos.
oneToOne pos' = (CardInterval noSpan $
NCard noSpan (PosInteger (pos', "1")) (ExIntegerNum noSpan $ PosInteger (pos', "1")))
absEnum = let
s1 = Span p1 p2'
in
ElementDecl s1 $
Subclafer s1 $
Clafer s1 (Abstract s1) (GCardEmpty s1) id' (SuperEmpty s1) (ReferenceEmpty s1) (CardEmpty s1) (InitEmpty s1) (ElementsList s1 [])
mkEnum (EnumIdIdent s2 eId) = -- each concrete clafer must fit within the original span of the literal
ElementDecl s2 $
Subclafer s2 $
Clafer s2 (AbstractEmpty s2) (GCardEmpty s2) eId ((SuperSome s2) (ClaferId s2 $ Path s2 [ModIdIdent s2 id'])) (ReferenceEmpty s2) (oneToOne (0, 0)) (InitEmpty s2) (ElementsList s2 [])
desugarEnums x = [x]
desugarDeclaration :: Declaration -> [IElement]
desugarDeclaration (ElementDecl _ element) = desugarElement element
desugarDeclaration _ = error "Desugarer.desugarDeclaration: enum declarations should have already been converted to clafers. BUG."
sugarDeclaration :: IElement -> Declaration
sugarDeclaration (IEClafer clafer) = ElementDecl (_cinPos clafer) $ Subclafer (_cinPos clafer) $ sugarClafer clafer
sugarDeclaration (IEConstraint True constraint) =
ElementDecl (_inPos constraint) $ Subconstraint (_inPos constraint) $ sugarConstraint constraint
sugarDeclaration (IEConstraint False softconstraint) =
ElementDecl (_inPos softconstraint) $ Subsoftconstraint (_inPos softconstraint) $ sugarSoftConstraint softconstraint
sugarDeclaration (IEGoal _ goal) = ElementDecl (_inPos goal) $ Subgoal (_inPos goal) $ sugarGoal goal
desugarClafer :: Clafer -> [IElement]
desugarClafer claf@(Clafer s abstract gcrd' id' super' reference' crd' init' elements') =
case (super', reference') of
(SuperSome ss setExp, ReferenceEmpty _) -> if isPrimitive $ getPExpClaferIdent setExp
then desugarClafer (Clafer s abstract gcrd' id' (SuperEmpty s) (ReferenceSet ss setExp) crd' init' elements')
else desugarClafer' claf
(SuperSome _ setExp, ReferenceSet _ _) -> if isPrimitive $ getPExpClaferIdent setExp
then error "Desugarer: cannot rewrite : with primitive type into -> because a reference is also present. Using : with primitive types is discouraged."
else desugarClafer' claf
(SuperSome _ setExp, ReferenceBag _ _) -> if isPrimitive $ getPExpClaferIdent setExp
then error "Desugarer: cannot rewrite : with primitive type into -> because a reference is also present. Using : with primitive types is discouraged."
else desugarClafer' claf
_ -> desugarClafer' claf
where
desugarClafer' (Clafer s'' abstract'' gcrd'' id'' super'' reference'' crd'' init'' elements'') =
(IEClafer $ IClafer s'' (desugarAbstract abstract'') (desugarGCard gcrd'') (transIdent id'')
"" "" (desugarSuper super'') (desugarReference reference'') (desugarCard crd'') (0, -1)
(desugarElements elements'')) : (desugarInit id'' init'')
getPExpClaferIdent :: SetExp -> String
getPExpClaferIdent (ClaferId _ (Path _ [ (ModIdIdent _ (PosIdent (_, ident'))) ] )) = ident'
getPExpClaferIdent _ = error "Desugarer:getPExpClaferIdent not given a ClaferId PExp"
sugarClafer :: IClafer -> Clafer
sugarClafer (IClafer s abstract gcard' _ uid' _ super' reference' crd' _ elements') =
Clafer s (sugarAbstract abstract) (sugarGCard gcard') (mkIdent uid')
(sugarSuper super') (sugarReference reference') (sugarCard crd') (InitEmpty s) (sugarElements elements')
desugarSuper :: Super -> Maybe PExp
desugarSuper (SuperEmpty _) = Nothing
desugarSuper (SuperSome _ (ClaferId _ (Path _ [ (ModIdIdent _ (PosIdent (_, "clafer"))) ] ))) = Nothing
desugarSuper (SuperSome _ setexp) = Just $ desugarSetExp setexp
desugarReference :: Reference -> Maybe IReference
desugarReference (ReferenceEmpty _) = Nothing
desugarReference (ReferenceSet _ setexp) = Just $ IReference True $ desugarSetExp setexp
desugarReference (ReferenceBag _ setexp) = Just $ IReference False $ desugarSetExp setexp
desugarInit :: PosIdent -> Init -> [IElement]
desugarInit _ (InitEmpty _) = []
desugarInit id' (InitSome s inithow exp') = [ IEConstraint (desugarInitHow inithow) (pExpDefPid s implIExp) ]
where
cId :: PExp
cId = mkPLClaferId (snd $ getIdent id') False Nothing
-- <id> = <exp'>
assignIExp :: IExp
assignIExp = (IFunExp "=" [cId, desugarExp exp'])
-- some <id> => <assignIExp>
implIExp :: IExp
implIExp = (IFunExp "=>" [ pExpDefPid s $ IDeclPExp ISome [] cId, pExpDefPid s assignIExp ])
getIdent (PosIdent y) = y
desugarInitHow :: InitHow -> Bool
desugarInitHow (InitConstant _) = True
desugarInitHow (InitDefault _ )= False
desugarName :: Name -> IExp
desugarName (Path _ path) =
IClaferId (concatMap ((++ modSep).desugarModId) (init path))
(desugarModId $ last path) True Nothing
desugarModId :: ModId -> Result
desugarModId (ModIdIdent _ id') = transIdent id'
sugarModId :: String -> ModId
sugarModId modid = ModIdIdent noSpan $ mkIdent modid
sugarSuper :: Maybe PExp -> Super
sugarSuper Nothing = SuperEmpty noSpan
sugarSuper (Just pexp'@(PExp _ _ _ (IClaferId _ _ _ _))) = SuperSome noSpan (sugarSetExp pexp')
sugarSuper (Just pexp') = error $ "Function sugarSuper from Desugarer expects a PExp (IClaferId) but instead was given: " ++ show pexp' -- Should never happen
sugarReference :: Maybe IReference -> Reference
sugarReference Nothing = ReferenceEmpty noSpan
sugarReference (Just (IReference True pexp')) = ReferenceSet noSpan (sugarSetExp pexp')
sugarReference (Just (IReference False pexp')) = ReferenceBag noSpan (sugarSetExp pexp')
sugarInitHow :: Bool -> InitHow
sugarInitHow True = InitConstant noSpan
sugarInitHow False = InitDefault noSpan
desugarConstraint :: Constraint -> PExp
desugarConstraint (Constraint _ exps') = desugarPath $ desugarExp $
(if length exps' > 1 then foldl1 (EAnd noSpan) else head) exps'
desugarSoftConstraint :: SoftConstraint -> PExp
desugarSoftConstraint (SoftConstraint _ exps') = desugarPath $ desugarExp $
(if length exps' > 1 then foldl1 (EAnd noSpan) else head) exps'
desugarGoal :: Goal -> PExp
desugarGoal (Goal s exps') = desugarPath $ desugarExp $
(if length exps' > 1 then foldl1 (EAnd s) else head) exps'
sugarConstraint :: PExp -> Constraint
sugarConstraint pexp = Constraint (_inPos pexp) $ map sugarExp [pexp]
sugarSoftConstraint :: PExp -> SoftConstraint
sugarSoftConstraint pexp = SoftConstraint (_inPos pexp) $ map sugarExp [pexp]
sugarGoal :: PExp -> Goal
sugarGoal pexp = Goal (_inPos pexp) $ map sugarExp [pexp]
desugarAbstract :: Abstract -> Bool
desugarAbstract (AbstractEmpty _) = False
desugarAbstract (Abstract _) = True
sugarAbstract :: Bool -> Abstract
sugarAbstract False = AbstractEmpty noSpan
sugarAbstract True = Abstract noSpan
desugarElements :: Elements -> [IElement]
desugarElements (ElementsEmpty _) = []
desugarElements (ElementsList _ es) = es >>= desugarElement
sugarElements :: [IElement] -> Elements
sugarElements x = ElementsList noSpan $ map sugarElement x
desugarElement :: Element -> [IElement]
desugarElement x = case x of
Subclafer _ claf -> (desugarClafer claf)
ClaferUse s name crd es -> desugarClafer $ Clafer s
(AbstractEmpty s) (GCardEmpty s) (mkIdent $ _sident $ desugarName name)
(SuperSome s (ClaferId s name)) (ReferenceEmpty s) crd (InitEmpty s) es
Subconstraint _ constraint ->
[IEConstraint True $ desugarConstraint constraint]
Subsoftconstraint _ softconstraint ->
[IEConstraint False $ desugarSoftConstraint softconstraint]
Subgoal _ goal -> [IEGoal True $ desugarGoal goal]
sugarElement :: IElement -> Element
sugarElement x = case x of
IEClafer claf -> Subclafer noSpan $ sugarClafer claf
IEConstraint True constraint -> Subconstraint noSpan $ sugarConstraint constraint
IEConstraint False softconstraint -> Subsoftconstraint noSpan $ sugarSoftConstraint softconstraint
IEGoal _ goal -> Subgoal noSpan $ sugarGoal goal
desugarGCard :: GCard -> Maybe IGCard
desugarGCard x = case x of
GCardEmpty _ -> Nothing
GCardXor _ -> Just $ IGCard True (1, 1)
GCardOr _ -> Just $ IGCard True (1, -1)
GCardMux _ -> Just $ IGCard True (0, 1)
GCardOpt _ -> Just $ IGCard True (0, -1)
GCardInterval _ ncard ->
Just $ IGCard (isOptionalDef ncard) $ desugarNCard ncard
isOptionalDef :: NCard -> Bool
isOptionalDef (NCard _ m n) = ((0::Integer) == mkInteger m) && (not $ isExIntegerAst n)
isExIntegerAst :: ExInteger -> Bool
isExIntegerAst (ExIntegerAst _) = True
isExIntegerAst _ = False
sugarGCard :: Maybe IGCard -> GCard
sugarGCard x = case x of
Nothing -> GCardEmpty noSpan
Just (IGCard _ (i, ex)) -> GCardInterval noSpan $ NCard noSpan (PosInteger ((0, 0), show i)) (sugarExInteger ex)
desugarCard :: Card -> Maybe Interval
desugarCard x = case x of
CardEmpty _ -> Nothing
CardLone _ -> Just (0, 1)
CardSome _ -> Just (1, -1)
CardAny _ -> Just (0, -1)
CardNum _ n -> Just (mkInteger n, mkInteger n)
CardInterval _ ncard -> Just $ desugarNCard ncard
desugarNCard :: NCard -> (Integer, Integer)
desugarNCard (NCard _ i ex) = (mkInteger i, desugarExInteger ex)
desugarExInteger :: ExInteger -> Integer
desugarExInteger (ExIntegerAst _) = -1
desugarExInteger (ExIntegerNum _ n) = mkInteger n
sugarCard :: Maybe Interval -> Card
sugarCard x = case x of
Nothing -> CardEmpty noSpan
Just (i, ex) ->
CardInterval noSpan $ NCard noSpan (PosInteger ((0, 0), show i)) (sugarExInteger ex)
sugarExInteger :: Integer -> ExInteger
sugarExInteger n = if n == -1 then ExIntegerAst noSpan else (ExIntegerNum noSpan $ PosInteger ((0, 0), show n))
desugarExp :: Exp -> PExp
desugarExp x = pExpDefPid (getSpan x) $ desugarExp' x
desugarExp' :: Exp -> IExp
desugarExp' x = case x of
DeclAllDisj _ decl exp' ->
IDeclPExp IAll [desugarDecl True decl] (dpe exp')
DeclAll _ decl exp' -> IDeclPExp IAll [desugarDecl False decl] (dpe exp')
DeclQuantDisj _ quant' decl exp' ->
IDeclPExp (desugarQuant quant') [desugarDecl True decl] (dpe exp')
DeclQuant _ quant' decl exp' ->
IDeclPExp (desugarQuant quant') [desugarDecl False decl] (dpe exp')
EIff _ exp0 exp' -> dop iIff [exp0, exp']
EImplies _ exp0 exp' -> dop iImpl [exp0, exp']
EImpliesElse _ exp0 exp1 exp' -> dop iIfThenElse [exp0, exp1, exp']
EOr _ exp0 exp' -> dop iOr [exp0, exp']
EXor _ exp0 exp' -> dop iXor [exp0, exp']
EAnd _ exp0 exp' -> dop iAnd [exp0, exp']
ENeg _ exp' -> dop iNot [exp']
QuantExp _ quant' exp' ->
IDeclPExp (desugarQuant quant') [] (desugarExp exp')
ELt _ exp0 exp' -> dop iLt [exp0, exp']
EGt _ exp0 exp' -> dop iGt [exp0, exp']
EEq _ exp0 exp' -> dop iEq [exp0, exp']
ELte _ exp0 exp' -> dop iLte [exp0, exp']
EGte _ exp0 exp' -> dop iGte [exp0, exp']
ENeq _ exp0 exp' -> dop iNeq [exp0, exp']
EIn _ exp0 exp' -> dop iIn [exp0, exp']
ENin _ exp0 exp' -> dop iNin [exp0, exp']
EAdd _ exp0 exp' -> dop iPlus [exp0, exp']
ESub _ exp0 exp' -> dop iSub [exp0, exp']
EMul _ exp0 exp' -> dop iMul [exp0, exp']
EDiv _ exp0 exp' -> dop iDiv [exp0, exp']
ERem _ exp0 exp' -> dop iRem [exp0, exp']
ECSetExp _ exp' -> dop iCSet [exp']
ESumSetExp _ exp' -> dop iSumSet [exp']
EProdSetExp _ exp' -> dop iProdSet [exp']
EMinExp _ exp' -> dop iMin [exp']
EGMax _ exp' -> dop iGMax [exp']
EGMin _ exp' -> dop iGMin [exp']
EInt _ n -> IInt $ mkInteger n
EDouble _ (PosDouble n) -> IDouble $ read $ snd n
EStr _ (PosString str) -> IStr $ snd str
ESetExp _ sexp -> desugarSetExp' sexp
where
dop = desugarOp desugarExp
dpe = desugarPath.desugarExp
desugarOp :: (a -> PExp) -> String -> [a] -> IExp
desugarOp f op' exps' =
if (op' == iIfThenElse)
then IFunExp op' $ (desugarPath $ head mappedList) : (map reducePExp $ tail mappedList)
else IFunExp op' $ map (trans.f) exps'
where
mappedList = map f exps'
trans = if op' `elem` ([iNot, iIfThenElse] ++ logBinOps)
then desugarPath else id
desugarSetExp :: SetExp -> PExp
desugarSetExp x = pExpDefPid (getSpan x) $ desugarSetExp' x
desugarSetExp' :: SetExp -> IExp
desugarSetExp' x = case x of
Union _ exp0 exp' -> dop iUnion [exp0, exp']
UnionCom _ exp0 exp' -> dop iUnion [exp0, exp']
Difference _ exp0 exp' -> dop iDifference [exp0, exp']
Intersection _ exp0 exp' -> dop iIntersection [exp0, exp']
Domain _ exp0 exp' -> dop iDomain [exp0, exp']
Range _ exp0 exp' -> dop iRange [exp0, exp']
Join _ exp0 exp' -> dop iJoin [exp0, exp']
ClaferId _ name -> desugarName name
where
dop = desugarOp desugarSetExp
sugarExp :: PExp -> Exp
sugarExp x = sugarExp' $ _exp x
sugarExp' :: IExp -> Exp
sugarExp' x = case x of
IDeclPExp quant' [] pexp -> QuantExp noSpan (sugarQuant quant') (sugarExp pexp)
IDeclPExp IAll (decl@(IDecl True _ _):[]) pexp ->
DeclAllDisj noSpan (sugarDecl decl) (sugarExp pexp)
IDeclPExp IAll (decl@(IDecl False _ _):[]) pexp ->
DeclAll noSpan (sugarDecl decl) (sugarExp pexp)
IDeclPExp quant' (decl@(IDecl True _ _):[]) pexp ->
DeclQuantDisj noSpan (sugarQuant quant') (sugarDecl decl) (sugarExp pexp)
IDeclPExp quant' (decl@(IDecl False _ _):[]) pexp ->
DeclQuant noSpan (sugarQuant quant') (sugarDecl decl) (sugarExp pexp)
IFunExp op' exps' ->
if op' `elem` unOps then (sugarUnOp op') (exps''!!0)
else if op' `elem` setBinOps then (ESetExp noSpan $ sugarSetExp' x)
else if op' `elem` binOps then (sugarOp op') (exps''!!0) (exps''!!1)
else (sugarTerOp op') (exps''!!0) (exps''!!1) (exps''!!2)
where
exps'' = map sugarExp exps'
IInt n -> EInt noSpan $ PosInteger ((0, 0), show n)
IDouble n -> EDouble noSpan $ PosDouble ((0, 0), show n)
IStr str -> EStr noSpan $ PosString ((0, 0), str)
IClaferId _ _ _ _ -> ESetExp noSpan $ sugarSetExp' x
_ -> error "Function sugarExp' from Desugarer was given an invalid argument" -- This should never happen
where
sugarUnOp op''
| op'' == iNot = ENeg noSpan
| op'' == iCSet = ECSetExp noSpan
| op'' == iMin = EMinExp noSpan
| op'' == iGMax = EGMax noSpan
| op'' == iGMin = EGMin noSpan
| op'' == iSumSet = ESumSetExp noSpan
| op'' == iProdSet = EProdSetExp noSpan
| otherwise = error $ show op'' ++ "is not an op"
sugarOp op''
| op'' == iIff = EIff noSpan
| op'' == iImpl = EImplies noSpan
| op'' == iOr = EOr noSpan
| op'' == iXor = EXor noSpan
| op'' == iAnd = EAnd noSpan
| op'' == iLt = ELt noSpan
| op'' == iGt = EGt noSpan
| op'' == iEq = EEq noSpan
| op'' == iLte = ELte noSpan
| op'' == iGte = EGte noSpan
| op'' == iNeq = ENeq noSpan
| op'' == iIn = EIn noSpan
| op'' == iNin = ENin noSpan
| op'' == iPlus = EAdd noSpan
| op'' == iSub = ESub noSpan
| op'' == iMul = EMul noSpan
| op'' == iDiv = EDiv noSpan
| op'' == iRem = ERem noSpan
| otherwise = error $ show op'' ++ "is not an op"
sugarTerOp op''
| op'' == iIfThenElse = EImpliesElse noSpan
| otherwise = error $ show op'' ++ "is not an op"
sugarSetExp :: PExp -> SetExp
sugarSetExp x = sugarSetExp' $ _exp x
sugarSetExp' :: IExp -> SetExp
sugarSetExp' (IFunExp op' exps') = (sugarOp op') (exps''!!0) (exps''!!1)
where
exps'' = map sugarSetExp exps'
sugarOp op''
| op'' == iUnion = Union noSpan
| op'' == iDifference = Difference noSpan
| op'' == iIntersection = Intersection noSpan
| op'' == iDomain = Domain noSpan
| op'' == iRange = Range noSpan
| op'' == iJoin = Join noSpan
| otherwise = error "Invalid argument given to function sygarSetExp' in Desugarer"
sugarSetExp' (IClaferId "" id' _ _) = ClaferId noSpan $ Path noSpan [ModIdIdent noSpan $ mkIdent id']
sugarSetExp' (IClaferId modName' id' _ _) = ClaferId noSpan $ Path noSpan $ (sugarModId modName') : [sugarModId id']
sugarSetExp' _ = error "IDecelPexp, IInt, IDobule, and IStr can not be sugared into a setExp!" --This should never happen
desugarPath :: PExp -> PExp
desugarPath (PExp iType' pid' pos' x) = reducePExp $ PExp iType' pid' pos' result
where
result
| isSetExp x = IDeclPExp ISome [] (pExpDefPid pos' x)
| isNegSome x = IDeclPExp INo [] $ _bpexp $ _exp $ head $ _exps x
| otherwise = x
isNegSome (IFunExp op' [PExp _ _ _ (IDeclPExp ISome [] _)]) = op' == iNot
isNegSome _ = False
isSetExp :: IExp -> Bool
isSetExp (IClaferId _ _ _ _) = True
isSetExp (IFunExp op' _) = op' `elem` setBinOps
isSetExp _ = False
-- reduce parent
reducePExp :: PExp -> PExp
reducePExp (PExp t pid' pos' x) = PExp t pid' pos' $ reduceIExp x
reduceIExp :: IExp -> IExp
reduceIExp (IDeclPExp quant' decls' pexp) = IDeclPExp quant' decls' $ reducePExp pexp
reduceIExp (IFunExp op' exps') = redNav $ IFunExp op' $ map redExps exps'
where
(redNav, redExps) = if op' == iJoin then (reduceNav, id) else (id, reducePExp)
reduceIExp x = x
reduceNav :: IExp -> IExp
reduceNav x@(IFunExp op' exps'@((PExp _ _ _ iexp@(IFunExp _ (pexp0:pexp:_))):pPexp:_)) =
if op' == iJoin && isParent pPexp && isClaferName pexp
then reduceNav $ _exp pexp0
else x{_exps = (head exps'){_exp = reduceIExp iexp} :
tail exps'}
reduceNav x = x
desugarDecl :: Bool -> Decl -> IDecl
desugarDecl isDisj' (Decl _ locids exp') =
IDecl isDisj' (map desugarLocId locids) (desugarSetExp exp')
sugarDecl :: IDecl -> Decl
sugarDecl (IDecl _ locids exp') =
Decl noSpan (map sugarLocId locids) (sugarSetExp exp')
desugarLocId :: LocId -> String
desugarLocId (LocIdIdent _ id') = transIdent id'
sugarLocId :: String -> LocId
sugarLocId x = LocIdIdent noSpan $ mkIdent x
desugarQuant :: Quant -> IQuant
desugarQuant (QuantNo _) = INo
desugarQuant (QuantNot _) = INo
desugarQuant (QuantLone _) = ILone
desugarQuant (QuantOne _) = IOne
desugarQuant (QuantSome _) = ISome
sugarQuant :: IQuant -> Quant
sugarQuant INo = QuantNo noSpan -- will never sugar to QuantNOT
sugarQuant ILone = QuantLone noSpan
sugarQuant IOne = QuantOne noSpan
sugarQuant ISome = QuantSome noSpan
sugarQuant IAll = error "sugarQaunt was called on IAll, this is not allowed!" --Should never happen