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+%%
+%% wings_we.erl --
+%%
+%% This module contains functions to build and manipulate
+%% we records (winged-edged records, the central data structure
+%% in Wings 3D).
+
+-module(wings_we).
+
+-export([rebuild/1, is_consistent/1, is_face_consistent/2, new_id/1,
+ new_items_as_ordset/3, validate_mirror/1, visible/1, visible_edges/1]).
+
+-include("wings.hrl").
+
+%%%
+%%% API.
+%%%
+
+validate_mirror(#we{mirror=none}=We) -> We;
+validate_mirror(#we{fs=Ftab,mirror=Face}=We) ->
+ case gb_trees:is_defined(Face, Ftab) of
+ false -> We#we{mirror=none};
+ true -> We
+ end.
+
+%% rebuild(We) -> We'
+%% Rebuild any missing 'vc' and 'fs' tables. If there are
+%% fewer elements in the 'vc' table than in the 'vp' table,
+%% remove redundant entries in the 'vp' table. Updated id
+%% bounds.
+rebuild(#we{vc=undefined,fs=undefined,es=Etab0}=We0) ->
+ Etab = gb_trees:to_list(Etab0),
+ Ftab = rebuild_ftab(Etab),
+ VctList = rebuild_vct(Etab),
+ We = We0#we{vc=gb_trees:from_orddict(VctList),fs=Ftab},
+ rebuild_1(VctList, We);
+rebuild(#we{vc=undefined,es=Etab}=We) ->
+ VctList = rebuild_vct(gb_trees:to_list(Etab), []),
+ rebuild_1(VctList, We#we{vc=gb_trees:from_orddict(VctList)});
+rebuild(#we{fs=undefined,es=Etab}=We) ->
+ Ftab = rebuild_ftab(gb_trees:to_list(Etab)),
+ rebuild(We#we{fs=Ftab});
+rebuild(We) -> update_id_bounds(We).
+
+%%% Utilities for allocating IDs.
+
+new_id(#we{next_id=Id}=We) ->
+ {Id,We#we{next_id=Id+1}}.
+
+%%% Returns sets of newly created items.
+
+new_items_as_ordset(vertex, #we{next_id=Wid}, #we{next_id=NewWid,vp=Tab}) ->
+ new_items_as_ordset_1(Tab, Wid, NewWid);
+new_items_as_ordset(edge, #we{next_id=Wid}, #we{next_id=NewWid,es=Tab}) ->
+ new_items_as_ordset_1(Tab, Wid, NewWid);
+new_items_as_ordset(face, #we{next_id=Wid}, #we{next_id=NewWid,fs=Tab}) ->
+ new_items_as_ordset_1(Tab, Wid, NewWid).
+
+any_hidden(#we{fs=Ftab}) ->
+ not gb_trees:is_empty(Ftab) andalso
+ wings_util:gb_trees_smallest_key(Ftab) < 0.
+
+%%%
+%%% Local functions.
+%%%
+
+rebuild_1(VctList, #we{vc=Vct,vp=Vtab0}=We) ->
+ case {gb_trees:size(Vct),gb_trees:size(Vtab0)} of
+ {Same,Same} -> rebuild(We);
+ {Sz1,Sz2} when Sz1 < Sz2 ->
+ Vtab = vertex_gc_1(VctList, gb_trees:to_list(Vtab0), []),
+ rebuild(We#we{vp=Vtab})
+ end.
+
+rebuild_vct(Es) ->
+ rebuild_vct(Es, []).
+
+rebuild_vct([{Edge,#edge{vs=Va,ve=Vb}}|Es], Acc0) ->
+ Acc = rebuild_maybe_add(Va, Vb, Edge, Acc0),
+ rebuild_vct(Es, Acc);
+rebuild_vct([], VtoE) ->
+ build_incident_tab(VtoE).
+
+rebuild_ftab(Es) ->
+ rebuild_ftab_1(Es, []).
+
+rebuild_ftab_1([{Edge,#edge{lf=Lf,rf=Rf}}|Es], Acc0) ->
+ Acc = rebuild_maybe_add(Lf, Rf, Edge, Acc0),
+ rebuild_ftab_1(Es, Acc);
+rebuild_ftab_1([], FtoE) ->
+ gb_trees:from_orddict(build_incident_tab(FtoE)).
+
+rebuild_maybe_add(Ka, Kb, E, [_,{Ka,_}|_]=Acc) ->
+ [{Kb,E}|Acc];
+rebuild_maybe_add(Ka, Kb, E, [_,{Kb,_}|_]=Acc) ->
+ [{Ka,E}|Acc];
+rebuild_maybe_add(Ka, Kb, E, [{Ka,_}|_]=Acc) ->
+ [{Kb,E}|Acc];
+rebuild_maybe_add(Ka, Kb, E, [{Kb,_}|_]=Acc) ->
+ [{Ka,E}|Acc];
+rebuild_maybe_add(Ka, Kb, E, Acc) ->
+ [{Ka,E},{Kb,E}|Acc].
+
+vertex_gc_1([{V,_}|Vct], [{V,_}=Vtx|Vpos], Acc) ->
+ vertex_gc_1(Vct, Vpos, [Vtx|Acc]);
+vertex_gc_1([_|_]=Vct, [_|Vpos], Acc) ->
+ vertex_gc_1(Vct, Vpos, Acc);
+vertex_gc_1([], _, Acc) ->
+ gb_trees:from_orddict(lists:reverse(Acc)).
+
+%%%
+%%% Handling of hidden faces.
+%%%
+
+visible(#we{mirror=none,fs=Ftab}) ->
+ visible_2(gb_trees:keys(Ftab));
+visible(#we{mirror=Face,fs=Ftab}) ->
+ visible_2(gb_trees:keys(gb_trees:delete(Face, Ftab))).
+
+visible_2([F|Fs]) when F < 0 -> visible_2(Fs);
+visible_2(Fs) -> Fs.
+
+visible_edges(#we{es=Etab,mirror=Face}=We) ->
+ case any_hidden(We) of
+ false -> gb_trees:keys(Etab);
+ true -> visible_es_1(gb_trees:to_list(Etab), Face, [])
+ end.
+
+visible_es_1([{E,#edge{lf=Lf,rf=Rf}}|Es], Face, Acc) ->
+ if
+ Lf < 0 ->
+ %% Left face hidden.
+ if
+ Rf < 0; Rf =:= Face ->
+ %% Both faces invisible (in some way).
+ visible_es_1(Es, Face, Acc);
+ true ->
+ %% Right face is visible.
+ visible_es_1(Es, Face, [E|Acc])
+ end;
+ Lf =:= Face, Rf < 0 ->
+ %% Left face mirror, right face hidden.
+ visible_es_1(Es, Face, Acc);
+ true ->
+ %% At least one face visible.
+ visible_es_1(Es, Face, [E|Acc])
+ end;
+visible_es_1([], _, Acc) -> ordsets:from_list(Acc).
+
+update_id_bounds(#we{vp=Vtab,es=Etab,fs=Ftab}=We) ->
+ case gb_trees:is_empty(Etab) of
+ true -> We#we{next_id=0};
+ false ->
+ LastId = lists:max([wings_util:gb_trees_largest_key(Vtab),
+ wings_util:gb_trees_largest_key(Etab),
+ wings_util:gb_trees_largest_key(Ftab)]),
+ We#we{next_id=LastId+1}
+ end.
+
+%% build_incident_tab([{Elem,Edge}]) -> [{Elem,Edge}]
+%% Elem = Face or Vertex
+%% Build the table of incident edges for either faces or vertices.
+%% Returns an ordered list where each Elem is unique.
+
+build_incident_tab(ElemToEdgeRel) ->
+ T = ets:new(?MODULE, [ordered_set]),
+ ets:insert(T, ElemToEdgeRel),
+ R = ets:tab2list(T),
+ ets:delete(T),
+ R.
+
+%%%
+%%% Calculate normals.
+%%%
+
+new_items_as_ordset_1(Tab, Wid, NewWid) when NewWid-Wid < 32 ->
+ new_items_as_ordset_2(Wid, NewWid, Tab, []);
+new_items_as_ordset_1(Tab, Wid, _NewWid) ->
+ [Item || Item <- gb_trees:keys(Tab), Item >= Wid].
+
+new_items_as_ordset_2(Wid, NewWid, Tab, Acc) when Wid < NewWid ->
+ case gb_trees:is_defined(Wid, Tab) of
+ true -> new_items_as_ordset_2(Wid+1, NewWid, Tab, [Wid|Acc]);
+ false -> new_items_as_ordset_2(Wid+1, NewWid, Tab, Acc)
+ end;
+new_items_as_ordset_2(_Wid, _NewWid, _Tab, Acc) -> lists:reverse(Acc).
+
+%%%
+%%% Test the consistency of a #we{}.
+%%%
+
+is_consistent(#we{}=We) ->
+ try
+ validate_vertex_tab(We),
+ validate_faces(We)
+ catch error:_ -> false
+ end.
+
+is_face_consistent(Face, #we{fs=Ftab,es=Etab}) ->
+ Edge = gb_trees:get(Face, Ftab),
+ try validate_face(Face, Edge, Etab)
+ catch error:_ -> false
+ end.
+
+validate_faces(#we{fs=Ftab,es=Etab}) ->
+ validate_faces_1(gb_trees:to_list(Ftab), Etab).
+
+validate_faces_1([{Face,Edge}|Fs], Etab) ->
+ validate_face(Face, Edge, Etab),
+ validate_faces_1(Fs, Etab);
+validate_faces_1([], _) -> true.
+
+validate_face(Face, Edge, Etab) ->
+ Ccw = walk_face_ccw(Edge, Etab, Face, Edge, []),
+ Edge = walk_face_cw(Edge, Etab, Face, Ccw),
+ [V|Vs] = lists:sort(Ccw),
+ validate_face_vertices(Vs, V).
+
+validate_face_vertices([V|_], V) ->
+ erlang:error(repeated_vertex);
+validate_face_vertices([_], _) ->
+ true;
+validate_face_vertices([V|Vs], _) ->
+ validate_face_vertices(Vs, V).
+
+walk_face_ccw(LastEdge, _, _, LastEdge, [_|_]=Acc) -> Acc;
+walk_face_ccw(Edge, Etab, Face, LastEdge, Acc) ->
+ case gb_trees:get(Edge, Etab) of
+ #edge{ve=V,lf=Face,ltpr=Next} ->
+ walk_face_ccw(Next, Etab, Face, LastEdge, [V|Acc]);
+ #edge{vs=V,rf=Face,rtpr=Next} ->
+ walk_face_ccw(Next, Etab, Face, LastEdge, [V|Acc])
+ end.
+
+walk_face_cw(Edge, _, _, []) -> Edge;
+walk_face_cw(Edge, Etab, Face, [V|Vs]) ->
+ case gb_trees:get(Edge, Etab) of
+ #edge{vs=V,lf=Face,ltsu=Next} ->
+ walk_face_cw(Next, Etab, Face, Vs);
+ #edge{ve=V,rf=Face,rtsu=Next} ->
+ walk_face_cw(Next, Etab, Face, Vs)
+ end.
+
+validate_vertex_tab(#we{es=Etab,vc=Vct}) ->
+ lists:foreach(fun({V,Edge}) ->
+ case gb_trees:get(Edge, Etab) of
+ #edge{vs=V} -> ok;
+ #edge{ve=V} -> ok
+ end
+ end, gb_trees:to_list(Vct)).