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module trans/lambdajs
imports
src-gen/ds-signatures/lambdaJS-sig
signature
sorts
V
constructors
ObjV : Map(V,V) -> V
StrV : String -> V
NumV : INT -> V
BoolV : BOOLEAN -> V
UndefV : V
NullV : V
ProtoV : V
LocV : Int -> V
LocWrap : V -> Exp
ObjWrap : V -> Exp
ClosV : List(String) * Exp * Env -> V
native operators
printV: V -> V
sort aliases
Address = Int
Env = Map(String, V)
Heap = Map(Address, V)
Global = Map(String, Address)
components
E : Env
O : Map(V,V)
H : Heap
G : Global
variables
v : V
arrows
bindVar(String, V) --> Env
readVar(String) --> V
bindProperty(V, V) --> Map(V,V)
removeProperty(V) --> Map(V,V)
getProperty(V) --> V
bindGlobal(String, Address) --> Global
readGlobal(String) --> Address
bindFuncArgs(List(String), List(Exp)) --> Env
setRef(Address, V) --> Heap
listToObj(List(Field)) --> Map(V,V)
evaluate(List(Exp), List(V)) --> List(V)
Start -init-> List(V)
Exp --> V
Val --> V
Field --> V
rules
//Not in the paper, but necessary to give output for tests
Print(e) --> printV(e)
O |- bindProperty(v1, v2) --> {v1 |--> v2, O}
O |- removeProperty(strv) --> O \ strv
O |- getProperty(strv) --> O[strv]
E |- bindVar(name, v) --> {name |--> v, E}
E |- readVar(name) --> E[name]
E |- bindFuncArgs([], []) --> E
E |- bindFuncArgs([arg | args], [e | exps]) --> E3
where
E |- e --> v;
E |- bindVar(arg, v) --> E2;
E E2 |- bindFuncArgs(args, exps) --> E3
bindGlobal(name, addr) :: G --> {name |--> addr, G}
readGlobal(name) :: G --> G[name]
setRef(addr, v) :: H --> {addr |--> v, H}
//dirty way of passing values as expressions
LocWrap(LocV(addr)) --> LocV(addr)
ObjWrap(ObjV(o)) --> ObjV(o)
Program(e) -init-> vals
where
evaluate(e, []) :: G {}, H {} --> vals
evaluate([], vals) --> vals
evaluate([e | exps], vals) --> newVals
where
E {} |- e --> v;
evaluate(exps, vals ++ [v]) --> newVals
Value(e) --> val
where
e --> val
INT(i) --> NumV(i)
BOOLEAN(i) --> BoolV(i)
UNDEFINED(_) --> UndefV()
NULL(_) --> NullV()
Proto(_) --> ProtoV()
STRING(i) --> StrV(i)
E |- Identifier(name) :: G, H --> v
where
case E[name?] of {
true =>
E |- readVar(name) --> v
false =>
readGlobal(name) :: G --> addr;
H[addr] => v
}
Obj(propList) --> ObjV(obj)
where
{} => O;
O |- listToObj(propList) --> obj
Prop(name, _) --> StrV(name)
O |- listToObj([]) --> O
O |- listToObj([Prop(name, val) | listRest]) --> obj2
where
Prop(name, val) --> v1;
val --> v2;
O |- bindProperty(v1,v2) --> O2;
O2 |- listToObj(listRest) --> obj2
//Special case for proto property in object
O |- listToObj([PropProto(_, val) | listRest]) --> obj2
where
val --> v;
case v of{
LocV(_) =>
O |- bindProperty(ProtoV(),v) --> O2;
O2 |- listToObj(listRest) --> obj2
NullV() =>
O |- bindProperty(ProtoV(),v) --> O2;
O2 |- listToObj(listRest) --> obj2
}
E |- Func(args, e) --> ClosV(args, e, E)
//Special case where explicitly a get is done for proto,
//which will return a LocV or UndefV instead of a normal value
Get(e1, e2) --> vout
where
e1 --> ObjV(O);
e2 --> ProtoV();
case O[ProtoV()?] of {
true =>
O |- getProperty(ProtoV()) --> v;
case v of {
NullV() =>
UndefV() => vout
LocV(addr) =>
LocV(addr) => vout
}
false =>
UndefV() => vout
}
//Fig.1 E-GETFIELD, Fig.4 E-GETFIELD-NOTFOUND, E-GETFIELD-PROTO, E-GETFIELD-PROTO-NULL
Get(e1, e2) --> vout
where
e1 --> ObjV(O);
e2 --> StrV(str);
case O[StrV(str)?] of {
true =>
O |- getProperty(StrV(str)) --> vout
false =>
case O[ProtoV()?] of {
true =>
O |- getProperty(ProtoV()) --> v;
case v of {
NullV() =>
UndefV() => vout
LocV(addr) =>
Deref(LocWrap(LocV(addr))) --> obj;
Get(ObjWrap(obj), e2) --> vout
}
false =>
UndefV() => vout
}
}
//Fig.1 E-UPDATEFIELD, E-CREATEFIELD
Instantiation(e1, e2, e3) :: G, H --> ObjV(obj2) :: G, H''''
where
e1 :: H --> ObjV(O) ::H';
e2 :: H' --> v1 :: H'';
e3 :: H'' --> v2 :: H''';
case v1 of {
ProtoV() =>
O |- bindProperty(v1, v2) --> obj2
StrV(_) =>
O |- bindProperty(v1, v2) --> obj2
};
case e1 of {
Identifier(id) =>
case G[id?] of {
true =>
readGlobal(id) --> addr;
setRef(addr, ObjV(obj2)) :: H''' --> H''''
false =>
H''' => H''''
}
otherwise =>
H''' => H''''
}
//Fig.1 E-DELETEFIELD, E-DELETEFIELD-NOTFOUND
Delete(e1, e2) :: G, H --> ObjV(obj2) :: G, H'''
where
e1 :: H --> ObjV(O) :: H';
e2 :: H' --> StrV(str) :: H'';
case O[StrV(str)?] of {
true =>
O |- removeProperty(StrV(str)) --> obj2
false =>
O => obj2
};
case e1 of {
Identifier(id) =>
case G[id?] of {
true =>
readGlobal(id) --> addr;
setRef(addr, ObjV(obj2)) :: H'' --> H'''
false =>
H'' => H'''
}
otherwise =>
H'' => H'''
}
//Fig.1 E-LET
Let(x, e1, e2) --> v2
where
e1 --> v1;
bindVar(x, v1) --> E2;
E E2|- e2 --> v2
//Fig.1 E-APP
E |- App(e, exps) --> v
where
e --> ClosV(args, ret, E2);
E {E, E2} |- bindFuncArgs(args, exps) --> E3;
E3 |- ret --> v
//Fig.2 E-SETREF
Assign(id, exp) :: G, H --> v :: G', H {addr |--> v, H'}
where
case G[id?] of {
true =>
readGlobal(id) :: G --> addr;
G => G'
false =>
fresh => addr;
bindGlobal(id, addr) :: G --> G'
};
exp :: H --> v :: H'
//Fig.2 E-REF
Ref(exp) :: H --> LocV(addr) :: H {addr |--> ObjV(o), H'}
where
exp :: H --> ObjV(o) :: H';
fresh => addr
//Fig.2 E-DEREF
Deref(exp) :: H --> v :: H'
where
exp :: H --> LocV(addr) :: H';
H'[addr] => v