(* *)
(***********************************************************************)
-(*
- Time-stamp: <Last modified on 2013-02-12 08:32:59 CET by Kim Nguyen>
-*)
-
open Ast
-open Auto
-open Utils
-let mk_atom l b q =
- Ata.SFormula.atom_ (Ata.Move.make (l,b,q))
let ( => ) a b = (a, b)
-let ( ** ) l q = mk_atom l true q
-let ( ++ ) a b = Ata.SFormula.or_ a b
-let ( %% ) a b = Ata.SFormula.and_ a b
+let ( ++ ) a b = Ata.Formula.or_ a b
+let ( %% ) a b = Ata.Formula.and_ a b
let ( @: ) a b = StateSet.add a b
+module F = Ata.Formula
-let compile_axis_test ax tst inq trs sts =
- match ax with
- | Self ->
- let outq = State.make () in
- outq,
- (inq, [ tst => (`Epsilon ** outq ) ]) :: trs,
- outq @: sts
-
- | Child ->
- let outq = State.make () in
- let outq' = State.make () in
- outq',
- (inq, [ QNameSet.any => (`Left ** outq)])
- :: (outq, [ tst => (`Epsilon ** outq');
- QNameSet.any => (`Right ** outq) ])
- :: trs,
- outq @: (outq' @: sts)
-
- | Descendant | DescendantOrSelf ->
- let dir = if ax = Descendant then `Left else `Epsilon in
- let outq = State.make () in
- let outq' = State.make () in
- outq',
- (inq, [ QNameSet.any => (dir ** outq)])
- :: (outq, [ tst => (`Epsilon ** outq');
- QNameSet.any => ((`Left ** outq) ++ (`Right ** outq))
- ])
- :: trs,
- outq @: (outq' @: sts)
-
- | Parent ->
- let outq = State.make () in
- let outq' = State.make () in
- let outq'' = State.make () in
- let move = (`Up1 ** outq') ++ (`Up2 ** outq) in
- outq'',
- (inq, [QNameSet.any => move ])
- :: (outq, [ QNameSet.any => move ])
- :: (outq', [ tst => (`Epsilon ** outq'') ])
- :: trs,
- outq @: (outq' @: (outq'' @: sts))
-
- | Ancestor | AncestorOrSelf ->
- let outq = State.make () in
- let outq' = State.make () in
- let outq'' = State.make () in
- let move =
- (if ax = Ancestor then (`Up1 ** outq')
- else (`Epsilon ** outq')) ++ (`Up1 ** outq) ++ (`Up2 ** outq)
- in
- outq'',
- (inq, [QNameSet.any => move ])
- :: (outq, [ QNameSet.any => move ])
- :: (outq', [ tst => (`Epsilon ** outq'') ])
- :: trs,
- outq @: (outq' @: (outq'' @: sts))
-
- | FollowingSibling | PrecedingSibling ->
- let outq = State.make () in
- let outq' = State.make () in
- let dir = if ax = FollowingSibling then `Right else `Up2 in
- outq',
- (inq, [ QNameSet.any => (dir ** outq) ])
- :: (outq, [ tst => (`Epsilon ** outq');
- QNameSet.any => (dir ** outq) ])
- :: trs,
- outq @: (outq' @: sts)
+
+let node_set = QNameSet.remove QName.document QNameSet.any
+let star_set = QNameSet.diff QNameSet.any (
+ List.fold_right (QNameSet.add)
+ [ QName.document; QName.text; QName.comment ]
+ QNameSet.empty)
+let root_set = QNameSet.singleton QName.document
+
+(* [compile_axis_test axis test q phi trans states] Takes an xpath
+ [axis] and node [test], a formula [phi], a list of [trans]itions
+ and a set of [states] and returns a formula [phi'], a new set of
+ transitions, and a new set of states such that [phi'] holds iff
+ there exists a node reachable through [axis]::[test] where [phi]
+ holds.
+*)
+
+let compile_axis_test axis (test,kind) phi trans states=
+ let q = State.make () in
+ let phi = match kind with
+ Tree.NodeKind.Node -> phi
+ | _ -> phi %% F.is kind
+ in
+ let phi', trans', states' =
+ match axis with
+ | Self ->
+ (F.stay q,
+ (q, [ test => phi ]) :: trans,
+ states)
+
+ | Child ->
+ (F.first_child q,
+ (q, [ test => phi;
+ QNameSet.any => F.next_sibling q ]) :: trans,
+ states)
+
+ | Descendant false ->
+ (F.first_child q,
+ (q, [ test => phi;
+ QNameSet.any => F.first_child q ++ F.next_sibling q;
+ ]) :: trans,
+ states)
+ | Descendant true ->
+ let q' = State.make () in
+ (F.or_ (F.stay q) (F.first_child q'),
+ (q', [ test => phi;
+ QNameSet.any => F.first_child q' ++ F.next_sibling q';
+ ])::
+ (q, [ test => phi]):: trans,
+ states)
+
+ | Parent ->
+ let q' = State.make () in
+ let move = F.parent q ++ F.previous_sibling q' in
+ (move,
+ (q, [ test => phi ])
+ :: (q', [ QNameSet.any => move ]) :: trans,
+ (q' @: states))
+
+ | Ancestor self ->
+ let q' = State.make () in
+ let move = F.parent q ++ F.previous_sibling q' in
+ (if self then F.stay q else move),
+ (q, [ test => phi;
+ QNameSet.any => move ])
+ :: (q', [ QNameSet.any => move ]) :: trans,
+ (q' @: states)
+
+ | FollowingSibling | PrecedingSibling ->
+ let move =
+ if axis = PrecedingSibling then
+ F.previous_sibling q
+ else F.next_sibling q
+ in
+ move,
+ (q, [ test => phi;
+ QNameSet.any => move ]) :: trans,
+ states
+
+ | Attribute ->
+ (F.first_child q,
+ (q, [ test => phi;
+ QNameSet.any => F.next_sibling q]) :: trans,
+ states)
+ | _ -> assert false
+
+ in
+ phi', trans', q @: states'
+
+let rec compile_expr e trans states =
+ match e with
+ | Binop (e1, (And|Or as op), e2) ->
+ let phi1, trans1, states1 = compile_expr e1 trans states in
+ let phi2, trans2, states2 = compile_expr e2 trans1 states1 in
+ (if op = Or then phi1 ++ phi2 else phi1 %% phi2),
+ trans2,
+ states2
+ | Fun_call (f, [ e0 ]) when (QName.to_string f) = "not" ->
+ let phi, trans0, states0 = compile_expr e0 trans states in
+ (F.not_ phi),
+ trans0,
+ states0
+ | Path p -> compile_path p trans states
| _ -> assert false
+and compile_path paths trans states =
+ List.fold_left (fun (aphi, atrans, astates) p ->
+ let phi, ntrans, nstates = compile_single_path p atrans astates in
+ (F.or_ phi aphi),
+ ntrans,
+ nstates) (F.false_,trans,states) paths
+
+and compile_single_path p trans states =
+ let steps =
+ match p with
+ | Absolute steps ->
+ (Ancestor false, (QNameSet.singleton QName.document,
+ Tree.NodeKind.Node), [])
+ :: steps
+ | Relative steps -> steps
+ in
+ compile_step_list steps trans states
+
+and compile_step_list l trans states =
+ match l with
+ | [] -> F.true_, trans, states
+ | (axis, test, elist) :: ll ->
+ let phi0, trans0, states0 = compile_step_list ll trans states in
+ let phi1, trans1, states1 =
+ compile_axis_test axis test phi0 trans0 states0
+ in
+ List.fold_left (fun (aphi, atrans, astates) e ->
+ let ephi, etrans, estates = compile_expr e atrans astates in
+ aphi %% ephi, etrans, estates) (phi1, trans1, states1) elist
+
+(**
+ Compile the top-level XPath query in reverse (doing downward
+ to the last top-level state):
+ /a0::t0[p0]/.../an-1::tn-1[pn-1]/an::tn[pn] becomes:
+ self::node()[ pn and
+ self::tn[pn]/inv(an)::(tn-1)[pn-1]/.../inv(a1)::t0[p0]/inv(a0)::document()]
+
+ /child::a/attribute::b
+ self::@b/parent::a/parent::doc()
+*)
+
+let compile_top_level_step_list l trans states =
+ let rec loop l trans states phi_above =
+ match l with
+ | [] -> assert false
+ | (axis, (test,kind), elist) :: ll ->
+ let phi0, trans0, states0 =
+ compile_axis_test (invert_axis axis)
+ (QNameSet.any, Tree.NodeKind.Node)
+ phi_above trans states
+ in
+ (* Only select attribute nodes if the previous axis
+ is attribute *)
+ let phi0 =
+ if axis != Attribute then
+ phi0 %% (F.not_ F.is_attribute)
+ else phi0
+ in
+ match ll with
+ [] ->
+ let phi1, trans1, states1 =
+ List.fold_left (fun (aphi, atrans, astates) e ->
+ let ephi, etrans, estates = compile_expr e atrans astates in
+ aphi %% ephi, etrans, estates) (phi0, trans0, states0) elist
+ in
+ let _, trans2, states2 =
+ compile_axis_test Self (test,kind) phi1 trans1 states1
+ in
+ let marking_state =
+ StateSet.choose (StateSet.diff states2 states1)
+ in
+ marking_state, trans2, states2
+ | _ ->
+ let phi1, trans1, states1 =
+ compile_axis_test Self (test,kind) phi0 trans0 states0
+ in
+ let phi2, trans2, states2 =
+ List.fold_left (fun (aphi, atrans, astates) e ->
+ let ephi, etrans, estates = compile_expr e atrans astates in
+ aphi %% ephi, etrans, estates) (phi1, trans1, states1) elist
+ in
+ loop ll trans2 states2 phi2
+ in
+ let starting = State.make () in
+ let phi0, trans0, states0 =
+ compile_axis_test
+ Self
+ (QNameSet.any, Tree.NodeKind.Node)
+ (F.stay starting)
+ trans
+ states
+ in
+ let mstates, trans, states = loop l trans0 states0 phi0 in
+ starting, mstates, trans, states
+;;
+
+let path p =
+ let sstates, mstates, trans, states =
+ List.fold_left (fun (ass, ams, atrs, asts) p ->
+ let ss, ms, natrs, nasts =
+ match p with
+ | Absolute l | Relative l -> compile_top_level_step_list l atrs asts
+ in
+ (StateSet.add ss ass),
+ (StateSet.add ms ams),
+ natrs,
+ nasts) (StateSet.empty, StateSet.empty, [], StateSet.empty) p
+ in
+ let builder = Ata.Builder.make () in
+ (** ensure that we have a single selecting state at the end *)
+ let phi_sel = StateSet.fold (fun q acc -> F.or_ (F.stay q) acc) mstates F.false_ in
+ let q_sel = State.make () in
+ let states = StateSet.add q_sel states in
+ let mstates = StateSet.singleton q_sel in
+ let trans = (q_sel, [QNameSet.any, phi_sel]) :: trans in
+ StateSet.iter
+ (Ata.Builder.add_state builder ~starting:true) sstates;
+ StateSet.iter
+ (Ata.Builder.add_state builder ~selecting:true) mstates;
+ StateSet.iter
+ (Ata.Builder.add_state builder) states;
+ List.iter (fun (q, l) ->
+ List.iter (fun (lab, phi) ->
+ Ata.Builder.add_trans builder q lab phi
+ ) l) trans;
+ Ata.Builder.finalize builder