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%%
%% wpc_thread --
%%
%% Helicoidal and Non-Helicoidal Thread Plugin
%%
%% Copyright (c) 2020 Micheus
%%
%% See the file "license.terms" for information on usage and redistribution
%% of this file, and for a DISCLAIMER OF ALL WARRANTIES.
%%
%%
-module(wpc_thread).
-export([init/0,menu/2,command/2]).
-include_lib("wings/src/wings.hrl").
-import(math, [cos/1,sin/1,pi/0]).
init() -> true.
menu({shape}, Menu) ->
init_menu(Menu);
menu(_, Menu) -> Menu.
init_menu(Menu) ->
case parse_menu(Menu,[]) of
[] -> Menu ++ menu();
Menu0 -> Menu0
end.
menu() ->
[{thread(),thread,?__(2,"Create a thread"),[option]}].
parse_menu([],_) -> [];
parse_menu([{_,spring,_}=Spiral|Rest],Acc) ->
lists:reverse([Spiral|Acc]) ++ menu() ++ Rest;
parse_menu([Elem|Rest],Acc) ->
parse_menu(Rest, [Elem|Acc]).
thread() ->
?__(1,"Thread").
command({shape,{thread, Ask}}, St) -> make_thread(Ask, St);
command(_, _) -> next.
%%% The rest are local functions.
%%%
%%% Thread
%%%
thread_dialog() ->
Hook = fun(Var, Val, Sto) ->
case Var of
thread_type ->
wings_dialog:enable(direction, Val==helicoid, Sto);
_ -> ok
end
end,
[{label_column, [
{?__(1,"Sections"), {text,8,[{key,sections},{range,{3,infinity}}]}},
{" ", separator},
{?__(2,"Top Radius"), {text,0.5,[{key,top_radius},{range,{0.0,infinity}}]}},
{?__(3,"Bottom Radius"), {text,0.5,[{key,bottom_radius},{range,{0.0,infinity}}]}},
{" ", separator},
{?__(4,"Pitch"), {text,0.3,[{key,pitch},{range,{0.0001,infinity}}]}},
{?__(5,"Crest Height"), {text,0.35,[{key,crest_h},{range,{0.0,infinity}}]}},
{?__(6,"Crest Amount"), {text,5,[{key,occurrences},{range,{1,infinity}}]}}]
},
{hradio, [
{?__(10,"Helicoidal"),helicoid},
{?__(11,"Non-helicoidal"),non_helicoid}],
non_helicoid, [{key,thread_type},{title,?__(12,"Thread Type")},{hook,Hook}]},
{hradio, [
{?__(7,"Left hand"),left},
{?__(8,"Right hand"),right}],
right, [{key,direction},{title,?__(9,"Direction")}]},
wings_shapes:transform_obj_dlg()].
make_thread(Arg, St) when is_atom(Arg) ->
Qs = thread_dialog(),
Label = ?__(1,"Thread Options"),
wings_dialog:dialog_preview({shape,thread}, Arg, Label, Qs, St);
make_thread(Arg0, _St) ->
Arg = maps:from_list(Arg0),
Sections = maps:get(sections, Arg),
Pitch = maps:get(pitch, Arg),
TopRadius = maps:get(top_radius, Arg),
BotRadius = maps:get(bottom_radius, Arg),
CrestH = maps:get(crest_h, Arg),
Occurrences = maps:get(occurrences, Arg),
Dir = maps:get(direction, Arg),
Type = maps:get(thread_type, Arg),
Modify = [{maps:get(rot_x, Arg), maps:get(rot_y, Arg), maps:get(rot_z, Arg)},
{maps:get(mov_x, Arg), maps:get(mov_y, Arg), maps:get(mov_z, Arg)},
maps:get(ground, Arg)],
Height = Pitch*(Occurrences+0.5),
Rows = Occurrences+1,
make_thread(Type, Dir, Sections, Height, TopRadius, BotRadius, CrestH, Pitch, Rows, Modify).
%%%
%%% Thread
%%%
make_thread(Type, Dir, Sections, Height, TopRadius, BotRadius, CrestH, Pitch, Rows, [Rot, Mov, Ground]) ->
Vs1 = thread_verts(Type,Sections,TopRadius,BotRadius,CrestH,Pitch,Rows,Height),
Fs0 = thread_faces(Type,Sections,Rows),
{Vs0,Fs} = set_direction(Dir,Vs1,Fs0),
Vs = wings_shapes:transform_obj(Rot,Mov,Ground,Vs0),
{new_shape,thread(),Fs,Vs}.
thread_verts(Type, Sections, TopRadius, BotRadius, CrestH, Pitch, Rows, Height) ->
RadRange = BotRadius-TopRadius,
RadInc = RadRange/(Rows-1),
Y = Height/2.0,
PitchInc = Pitch/2.0,
SubPitchInc = Pitch/Sections,
Delta = pi()*2/Sections,
Rings = lists:seq(Sections-1,0,-1),
lists:foldr(fun(Idx, Acc) ->
YInc = Idx*Pitch,
RInc = Idx*RadInc,
Ring0 = ring_of_verts(Type, Rings, SubPitchInc, Delta, Y-YInc, TopRadius+RInc+CrestH),
Ring1 = ring_of_verts(Type, Rings, SubPitchInc, Delta, Y-(YInc+PitchInc), TopRadius+RInc),
Ring0++Ring1++Acc
end, [], lists:seq(0,Rows-1)).
thread_faces(helicoid=Type, N, Rows) ->
R0 = (Rows-1)*2,
R = (Rows*2-1)*N,
Top = lists:seq(0,N-1),
Bottom = lists:seq(R+N-1,R, -1),
Sides = build_sides(Type,R0,N),
[Top, Bottom | Sides];
thread_faces(non_helicoid=Type, N, Rows) ->
R0 = (Rows-1)*2,
R = (Rows*2-1)*N,
Top = lists:reverse(lists:seq(N-1,0,-1)),
Bottom = lists:seq(R+N-1,R, -1),
Sides = build_sides(Type,R0,N),
[Top, Bottom | Sides].
build_sides(helicoid=Type, R, N) ->
Ns = lists:seq(0, N-2),
Fs = [[0, N-1, N],[N-1, 2*N, N]],
build_sides(Type,0,R,N,Ns,Fs);
build_sides(non_helicoid=Type, R, N) ->
Ns = lists:seq(0, N-1),
build_sides(Type,0,R,N,Ns,[]).
build_sides(_, Idx, R, _, _, Acc) when Idx > R ->
Acc;
build_sides(helicoid=Type, Idx, R, N, Ns, Acc) ->
Sides = [[Idx*N + I, (Idx+1)*N + I,
(Idx+1)*N + ((I+1) rem N), Idx*N + ((Idx*N+I+1) rem N)] || I <- Ns],
if Idx < (R-1) ->
Stitch = [[Idx*N + N-1, (Idx+1)*N + N-1, (Idx+2)*N + N, (Idx+2)*N]];
Idx < R ->
Stitch = [[Idx*N + N-1, (Idx+1)*N + N-1, (Idx+2)*N]];
true ->
Stitch = [[Idx*N + N-1, (Idx+1)*N + N-1, (Idx+1)*N]]
end,
build_sides(Type,Idx+1,R,N,Ns,Acc++Sides++Stitch);
build_sides(non_helicoid=Type, Idx, R, N, Ns, Acc) ->
Sides = [[Idx*N + I, (Idx+1)*N + I,
(Idx+1)*N + ((I+1) rem N), Idx*N + ((Idx*N+I+1) rem N)] || I <- Ns],
build_sides(Type,Idx+1,R,N,Ns,Acc++Sides).
ring_of_verts(helicoid, Rings, YInc, Delta, YAxis, XZAxis) ->
[{XZAxis*cos(I*Delta), YAxis+YInc*I, XZAxis*sin(I*Delta)} || I <- Rings];
ring_of_verts(non_helicoid, Rings, _, Delta, YAxis, XZAxis) ->
[{XZAxis*cos(I*Delta), YAxis, XZAxis*sin(I*Delta)} || I <- Rings].
set_direction(left,Vs,Fs) ->
{Vs,Fs};
set_direction(right,Vs0,Fs0) ->
FlipX = e3d_mat:scale(-1.0, 1.0, 1.0),
Vs = [e3d_mat:mul_point(FlipX, Pos) || Pos <- Vs0],
Fs = [lists:reverse(F) || F <- Fs0],
{Vs,Fs}.
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