remove RJoin rule
[coq-hetmet.git] / src / HaskWeakToCore.v
1 (*********************************************************************************************************************************)
2 (* HaskWeakToCore: convert HaskWeak to HaskCore                                                                                  *)
3 (*********************************************************************************************************************************)
4
5 Generalizable All Variables.
6 Require Import Preamble.
7 Require Import General.
8 Require Import Coq.Strings.String.
9 Require Import Coq.Lists.List.
10 Require Import HaskKinds.
11 Require Import HaskLiterals.
12 Require Import HaskTyCons.
13 Require Import HaskCoreVars.
14 Require Import HaskCoreTypes.
15 Require Import HaskCore.
16 Require Import HaskWeakVars.
17 Require Import HaskWeakTypes.
18 Require Import HaskWeak.
19 Require Import HaskCoreToWeak.
20
21 Variable mkCoreLet : @CoreBind CoreVar -> @CoreExpr CoreVar -> @CoreExpr CoreVar.
22   Extract Inlined Constant mkCoreLet => "MkCore.mkCoreLet".
23
24 Variable sortAlts  : forall {a}{b}, list (@triple CoreAltCon a b) -> list (@triple CoreAltCon a b).
25   Extract Inlined Constant sortAlts => "sortAlts".
26   Implicit Arguments sortAlts [[a][b]].
27
28 Variable mkUnsafeCoercion : CoreType -> CoreType -> CoreCoercion.
29     Extract Inlined Constant mkUnsafeCoercion => "Coercion.mkUnsafeCoercion".
30
31 (* Coercion and Type are actually the same thing in GHC, but we don't tell Coq about that.  This lets us get around it. *)
32 Variable coreCoercionsAreReallyTypes : CoreCoercion -> CoreType.
33   Extract Inlined Constant coreCoercionsAreReallyTypes => "(\x -> x)".
34
35 Definition weakAltConToCoreAltCon (wa:WeakAltCon) : CoreAltCon :=
36   match wa with
37   | WeakDataAlt cdc => DataAlt cdc
38   | WeakLitAlt  lit => LitAlt lit
39   | WeakDEFAULT     => DEFAULT
40   end.
41
42 Fixpoint weakTypeToCoreType (wt:WeakType) : CoreType :=
43   match wt with
44     | WTyVarTy  (weakTypeVar v _)     => TyVarTy v
45     | WAppTy (WAppTy WFunTyCon t1) t2 => FunTy (weakTypeToCoreType t1) (weakTypeToCoreType t2)
46     | WAppTy  t1 t2                   => match (weakTypeToCoreType t1) with
47                                            | TyConApp tc tys => TyConApp tc (app tys ((weakTypeToCoreType t2)::nil))
48                                            | t1'             => AppTy t1' (weakTypeToCoreType t2)
49                                          end
50     | WTyCon    tc                    => TyConApp tc nil
51     | WTyFunApp tf lt                 => TyConApp tf (map weakTypeToCoreType lt)
52     | WClassP c lt                    => PredTy (ClassP c (map weakTypeToCoreType lt))
53     | WIParam n ty                    => PredTy (IParam n (weakTypeToCoreType ty))
54     | WForAllTy (weakTypeVar wtv _) t => ForAllTy wtv (weakTypeToCoreType t)
55     | WFunTyCon                       => TyConApp ArrowTyCon nil
56     | WCodeTy  (weakTypeVar ec _) t   => TyConApp ModalBoxTyCon ((TyVarTy ec)::(weakTypeToCoreType t)::nil)
57     | WCoFunTy t1 t2 t3               => FunTy (PredTy (EqPred (weakTypeToCoreType t1) (weakTypeToCoreType t2)))
58                                             (weakTypeToCoreType t3)
59   end.
60
61 Definition weakCoercionToCoreCoercion (wc:WeakCoercion) : CoreCoercion :=
62   mkUnsafeCoercion (weakTypeToCoreType (fst (weakCoercionTypes wc))) (weakTypeToCoreType (snd (weakCoercionTypes wc))).
63
64 Fixpoint weakExprToCoreExpr (me:WeakExpr) : @CoreExpr CoreVar :=
65   match me with
66   | WEVar   (weakExprVar v _)            => CoreEVar  v
67   | WELit   lit                          => CoreELit  lit
68   | WEApp   e1 e2                        => CoreEApp     (weakExprToCoreExpr e1) (weakExprToCoreExpr e2)
69   | WETyApp e t                          => CoreEApp     (weakExprToCoreExpr e ) (CoreEType (weakTypeToCoreType t))
70   | WECoApp e co                         => CoreEApp     (weakExprToCoreExpr e )
71                                                            (CoreEType (coreCoercionsAreReallyTypes (weakCoercionToCoreCoercion co)))
72   | WENote  n e                          => CoreENote n  (weakExprToCoreExpr e )
73   | WELam   (weakExprVar ev _  ) e       => CoreELam  ev (weakExprToCoreExpr e )
74   | WETyLam (weakTypeVar tv _  ) e       => CoreELam  tv (weakExprToCoreExpr e )
75   | WECoLam (weakCoerVar cv   _ _) e     => CoreELam  cv (weakExprToCoreExpr e )
76   | WECast  e co                         => CoreECast    (weakExprToCoreExpr e ) (weakCoercionToCoreCoercion co)
77   | WEBrak  v (weakTypeVar ec _) e t     => fold_left CoreEApp
78                                                    ((CoreEType (TyVarTy ec))::
79                                                      (CoreEType (weakTypeToCoreType t))::
80                                                      (weakExprToCoreExpr e)::
81                                                      nil)
82                                                    (CoreEVar v)
83   | WEEsc   v (weakTypeVar ec _) e t     => fold_left CoreEApp
84                                                    ((CoreEType (TyVarTy ec))::
85                                                      (CoreEType (weakTypeToCoreType t))::
86                                                      (weakExprToCoreExpr e)::
87                                                      nil)
88                                                    (CoreEVar v)
89   | WECSP   v (weakTypeVar ec _) e t     => fold_left CoreEApp
90                                                    ((CoreEType (TyVarTy ec))::
91                                                      (CoreEType (weakTypeToCoreType t))::
92                                                      (weakExprToCoreExpr e)::
93                                                      nil)
94                                                    (CoreEVar v)
95   | WELet   (weakExprVar v _) ve e       => mkCoreLet      (CoreNonRec v (weakExprToCoreExpr ve))  (weakExprToCoreExpr e)
96   | WECase  vscrut escrut tbranches tc types alts  =>
97                                             CoreECase (weakExprToCoreExpr escrut) vscrut (weakTypeToCoreType tbranches)
98                                               (sortAlts ((
99                                                 fix mkCaseBranches (alts:Tree 
100                                                   ??(WeakAltCon*list WeakTypeVar*list WeakCoerVar*list WeakExprVar*WeakExpr)) :=
101                                                 match alts with
102                                                   | T_Leaf None              => nil
103                                                   | T_Branch b1 b2           => app (mkCaseBranches b1) (mkCaseBranches b2)
104                                                   | T_Leaf (Some (ac,tvars,cvars,evars,e)) =>
105                                                     (mkTriple (weakAltConToCoreAltCon ac)
106                                                       (app (app 
107                                                         (map (fun v:WeakTypeVar => weakVarToCoreVar v) tvars)
108                                                         (map (fun v:WeakCoerVar => weakVarToCoreVar v) cvars))
109                                                       (map (fun v:WeakExprVar => weakVarToCoreVar v) evars))
110                                                       (weakExprToCoreExpr e))::nil
111                                                 end
112                                               ) alts))
113   | WELetRec mlr e                       => CoreELet (CoreRec
114                                                ((fix mkLetBindings (mlr:Tree ??(WeakExprVar * WeakExpr)) :=
115                                                  match mlr with
116                                                    | T_Leaf None                        => nil
117                                                    | T_Leaf (Some (weakExprVar cv _,e)) => (cv,(weakExprToCoreExpr e))::nil
118                                                    | T_Branch b1 b2                     => app (mkLetBindings b1) (mkLetBindings b2)
119                                                  end) mlr))
120                                                (weakExprToCoreExpr e)
121   end.
122
123 Definition weakTypeOfWeakExpr (we:WeakExpr) : ???WeakType :=
124   coreTypeToWeakType (coreTypeOfCoreExpr (weakExprToCoreExpr we)).
125
126 Instance weakExprToString : ToString WeakExpr  :=
127   { toString := fun we => toString (weakExprToCoreExpr we) }.
128
129