diff options
Diffstat (limited to 'lib/percept/src/egd_render.erl')
-rw-r--r-- | lib/percept/src/egd_render.erl | 267 |
1 files changed, 136 insertions, 131 deletions
diff --git a/lib/percept/src/egd_render.erl b/lib/percept/src/egd_render.erl index 8ee41b66ab..c0075b8c42 100644 --- a/lib/percept/src/egd_render.erl +++ b/lib/percept/src/egd_render.erl @@ -27,6 +27,8 @@ -export([eps/1]). -compile(inline). +-export([line_to_linespans/3]). + -include("egd.hrl"). -define('DummyC',0). @@ -216,11 +218,11 @@ parse_objects_on_line(Y, Width, Objects) -> parse_objects_on_line(Y, 1, Width, Objects, []). parse_objects_on_line(_Y, _Z, _, [], Out) -> lists:flatten(Out); parse_objects_on_line(Y, Z, Width, [O|Os], Out) -> - case is_object_on_line(Y, O) of + case is_object_on_line(O, Y) of false -> parse_objects_on_line(Y, Z + 1, Width, Os, Out); true -> - OLs = object_line_data(Y, Z, O), + OLs = object_line_data(O,Y,Z), TOLs = trim_object_line_data(OLs, Width), parse_objects_on_line(Y, Z + 1, Width, Os, [TOLs|Out]) end. @@ -238,9 +240,9 @@ trim_object_line_data([{Z, Xl, Xr, C}|OLs], Width, Out) -> % object_line_data % In: +% Object :: image_object() % Y :: index of height % Z :: index of depth -% Object :: image_object() % Out: % OLs = [{Z, Xl, Xr, Color}] % Z = index of height @@ -250,96 +252,93 @@ trim_object_line_data([{Z, Xl, Xr, C}|OLs], Width, Out) -> % Calculate the length (start and finish index) of an objects horizontal % line given the height index. -object_line_data(Y, Z, Object) -> - object_line_data(Y, Z, Object, Object#image_object.type). -object_line_data(Y, Z, #image_object{ span = {X0, Y0, X1, Y1}, color = C}, rectangle) -> +object_line_data(#image_object{type=rectangle, + span={X0,Y0,X1,Y1}, color=C}, Y, Z) -> if - Y0 =:= Y ; Y1 =:= Y -> - [{Z, X0, X1, C}]; - true -> - [{Z, X0, X0, C}, - {Z, X1, X1, C}] + Y0 =:= Y ; Y1 =:= Y -> + [{Z, X0, X1, C}]; + true -> + [{Z, X0, X0, C}, + {Z, X1, X1, C}] end; -object_line_data(_Y, Z, #image_object{ span = {X0, _, X1, _}, color = C}, filled_rectangle) -> +object_line_data(#image_object{type=filled_rectangle, + span={X0, _, X1, _}, color=C}, _Y, Z) -> [{Z, X0, X1, C}]; -object_line_data(Y, Z, #image_object{ internals={Xr,Yr,Yr2}, span = {X0,Y0,X1,Y1}, color = C}, filled_ellipse) -> +object_line_data(#image_object{type=filled_ellipse, + internals={Xr,Yr,Yr2}, span={X0,Y0,X1,Y1}, color=C}, Y, Z) -> if - X1 - X0 == 0; Y1 - Y0 == 0 -> - [{Z, X0, X1, C}]; - true -> - Yo = trunc(Y - Y0 - Yr), - Yo2 = Yo*Yo, - Xo = math:sqrt((1 - Yo2/Yr2))*Xr, - [{Z, round(X0 - Xo + Xr), round(X0 + Xo + Xr), C}] + X1 - X0 =:= 0; Y1 - Y0 =:= 0 -> + [{Z, X0, X1, C}]; + true -> + Yo = trunc(Y - Y0 - Yr), + Yo2 = Yo*Yo, + Xo = math:sqrt((1 - Yo2/Yr2))*Xr, + [{Z, round(X0 - Xo + Xr), round(X0 + Xo + Xr), C}] end; -object_line_data(Y, Z, #image_object{ intervals = Is, color = C}, filled_triangle) -> +object_line_data(#image_object{type=filled_triangle, + intervals=Is, color=C}, Y, Z) -> case lists:keyfind(Y, 1, Is) of {Y, Xl, Xr} -> [{Z, Xl, Xr, C}]; false -> [] end; -object_line_data(Y, Z, #image_object{ intervals = Is, color = C}, line) -> - case dict:find(Y, Is) of - {ok, Ls} -> [{Z, Xl, Xr, C}||{Xl,Xr} <- Ls]; +object_line_data(#image_object{type=line, + intervals=M, color={R,G,B,_}}, Y, Z) -> + case M of + #{Y := Ls} -> [{Z, Xl, Xr, {R,G,B,1.0-C/255}}||{Xl,Xr,C} <- Ls]; _ -> [] end; -object_line_data(Y, Z, #image_object{ color = C, intervals = Is}, polygon) -> +object_line_data(#image_object{type=polygon, + color=C, intervals=Is}, Y, Z) -> [{Z, Xl, Xr, C} || {Yp, Xl, Xr} <- Is, Yp =:= Y]; -object_line_data(Y, Z, #image_object{ color = C, intervals = Is}, text_horizontal) -> +object_line_data(#image_object{type=text_horizontal, + color=C, intervals=Is}, Y, Z) -> [{Z, Xl, Xr, C} || {Yg, Xl, Xr} <- Is, Yg =:= Y]; -object_line_data(_, Z, #image_object{ span = {X0,_,X1,_}, color = C}, _) -> +object_line_data(#image_object{type=pixel, + span={X0,_,X1,_}, color=C}, _, Z) -> [{Z, X0, X1, C}]. -is_object_on_line(Y, #image_object{ span = Span }) -> - is_object_bounds_on_line(Y, Span). +is_object_on_line(#image_object{span={_,Y0,_,Y1}}, Y) -> + if Y < Y0; Y > Y1 -> false; + true -> true + end. -is_object_bounds_on_line(Y, {_,Y0,_,Y1}) when Y < Y0 ; Y > Y1 -> false; -is_object_bounds_on_line(_, _) -> true. - %%% primitives to line_spans %% compile objects to linespans -precompile(Image = #image{ objects = Os }) -> - Image#image{ objects = precompile_objects(Os) }. - -precompile_objects(Os) -> precompile_objects(Os, []). -precompile_objects([], Out) -> lists:reverse(Out); - -precompile_objects([O = #image_object{ type = line, points = [P0,P1] }| Os], Out) -> - precompile_objects(Os, [O#image_object{ intervals = ls_list2dict(line_ls(P0,P1)) } | Out]); - -precompile_objects([O = #image_object{ type = filled_triangle, points = [P0,P1,P2] } | Os], Out) -> - precompile_objects(Os, [O#image_object{ intervals = triangle_ls(P0,P1,P2) } | Out]); - -precompile_objects([O = #image_object{ type = polygon, points = Pts } | Os], Out) -> - precompile_objects(Os, [O#image_object{ intervals = polygon_ls(Pts) } | Out]); - -precompile_objects([O = #image_object{ type = filled_ellipse, span = {X0,Y0,X1,Y1} } | Os], Out) -> +precompile(#image{objects = Os}=I) -> + I#image{objects = precompile_objects(Os)}. + +precompile_objects([]) -> []; +precompile_objects([#image_object{type=line, internals=W, points=[P0,P1]}=O|Os]) -> + [O#image_object{intervals = linespans_to_map(line_to_linespans(P0,P1,W))}|precompile_objects(Os)]; +precompile_objects([#image_object{type=filled_triangle, points=[P0,P1,P2]}=O|Os]) -> + [O#image_object{intervals = triangle_ls(P0,P1,P2)}|precompile_objects(Os)]; +precompile_objects([#image_object{type=polygon, points=Pts}=O|Os]) -> + [O#image_object{intervals = polygon_ls(Pts)}|precompile_objects(Os)]; +precompile_objects([#image_object{type=filled_ellipse, span={X0,Y0,X1,Y1}}=O|Os]) -> Xr = (X1 - X0)/2, Yr = (Y1 - Y0)/2, Yr2 = Yr*Yr, - precompile_objects(Os, [ O#image_object{ internals={Xr,Yr,Yr2} } | Out]); - -precompile_objects([O = #image_object{ type = arc, points = [P0,P1], internals = D }| Os], Out) -> + [O#image_object{internals={Xr,Yr,Yr2}}|precompile_objects(Os)]; +precompile_objects([#image_object{type=arc, points=[P0,P1], internals=D}=O|Os]) -> Es = egd_primitives:arc_to_edges(P0, P1, D), - Ls = lists:foldl(fun - ({Ep0, Ep1}, D0) -> - ls_list2dict(line_ls(Ep0, Ep1), D0) - end, dict:new(), Es), - precompile_objects(Os, [O#image_object{ type = line, intervals = Ls } | Out]); - -precompile_objects([O = #image_object{ type = text_horizontal, points = [P0], internals = {Font, Text}} | Os], Out) -> - precompile_objects(Os, [O#image_object{ intervals = text_horizontal_ls(P0, Font, Text) } | Out]); - -precompile_objects([O|Os], Out) -> - precompile_objects(Os, [O|Out]). + Ls = lists:foldl(fun ({Ep0,Ep1},M) -> + linespans_to_map(line_to_linespans(Ep0,Ep1,1),M) + end, #{}, Es), + [O#image_object{type=line, intervals=Ls}|precompile_objects(Os)]; +precompile_objects([#image_object{type=text_horizontal, + points=[P0], internals={Font,Text}}=O|Os]) -> + [O#image_object{intervals=text_horizontal_ls(P0,Font,Text)}|precompile_objects(Os)]; +precompile_objects([O|Os]) -> + [O|precompile_objects(Os)]. % triangle @@ -353,7 +352,8 @@ triangle_ls(P1,P2,P3) -> % At an end point, a new line to the point already being drawn % repeat same procedure as above [Sp1, Sp2, Sp3] = tri_pt_ysort([P1,P2,P3]), - triangle_ls_lp(tri_ls_ysort(line_ls(Sp1,Sp2)), Sp2, tri_ls_ysort(line_ls(Sp1,Sp3)), Sp3, []). + triangle_ls_lp(tri_ls_ysort(line_to_linespans(Sp1,Sp2,1)), Sp2, + tri_ls_ysort(line_to_linespans(Sp1,Sp3,1)), Sp3, []). % There will be Y mismatches between the two lists since bresenham is not perfect. % I can be remedied with checking intervals this could however be costly and @@ -362,7 +362,7 @@ triangle_ls(P1,P2,P3) -> triangle_ls_lp([],_,[],_,Out) -> Out; triangle_ls_lp(LSs1, P1, [], P2, Out) -> - SLSs = tri_ls_ysort(line_ls(P2,P1)), + SLSs = tri_ls_ysort(line_to_linespans(P2,P1,1)), N2 = length(SLSs), N1 = length(LSs1), if @@ -376,7 +376,7 @@ triangle_ls_lp(LSs1, P1, [], P2, Out) -> triangle_ls_lp(LSs1, SLSs, Out) end; triangle_ls_lp([], P1, LSs2, P2, Out) -> - SLSs = tri_ls_ysort(line_ls(P1,P2)), + SLSs = tri_ls_ysort(line_to_linespans(P1,P2,1)), N1 = length(SLSs), N2 = length(LSs2), if @@ -390,21 +390,21 @@ triangle_ls_lp([], P1, LSs2, P2, Out) -> triangle_ls_lp(SLSs, LSs2, Out) end; triangle_ls_lp([LS1|LSs1],P1,[LS2|LSs2],P2, Out) -> - {Y, Xl1, Xr1} = LS1, - {_, Xl2, Xr2} = LS2, + {Y, Xl1, Xr1,_Ca1} = LS1, + {_, Xl2, Xr2,_Ca2} = LS2, Xr = lists:max([Xl1,Xr1,Xl2,Xr2]), Xl = lists:min([Xl1,Xr1,Xl2,Xr2]), - triangle_ls_lp(LSs1,P1, LSs2, P2, [{Y,Xl,Xr}|Out]). + triangle_ls_lp(LSs1,P1,LSs2,P2,[{Y,Xl,Xr}|Out]). triangle_ls_lp([],[],Out) -> Out; triangle_ls_lp([],_,Out) -> Out; triangle_ls_lp(_,[],Out) -> Out; triangle_ls_lp([LS1|LSs1], [LS2|LSs2], Out) -> - {Y, Xl1, Xr1} = LS1, - {_, Xl2, Xr2} = LS2, + {Y, Xl1, Xr1, _Ca1} = LS1, + {_, Xl2, Xr2, _Ca2} = LS2, Xr = lists:max([Xl1,Xr1,Xl2,Xr2]), Xl = lists:min([Xl1,Xr1,Xl2,Xr2]), - triangle_ls_lp(LSs1, LSs2, [{Y,Xl,Xr}|Out]). + triangle_ls_lp(LSs1,LSs2,[{Y,Xl,Xr}|Out]). tri_pt_ysort(Pts) -> % {X,Y} @@ -414,9 +414,9 @@ tri_pt_ysort(Pts) -> end, Pts). tri_ls_ysort(LSs) -> - % {Y, Xl, Xr} + % {Y, Xl, Xr, Ca} lists:sort( - fun ({Y1,_,_},{Y2,_,_}) -> + fun ({Y1,_,_,_},{Y2,_,_,_}) -> if Y1 > Y2 -> false; true -> true end end, LSs). @@ -503,69 +503,74 @@ point_inside_triangle(P, P1, P2, P3) -> points_same_side(P, P2, P1, P3) and points_same_side(P, P3, P1, P2). -%% [{Y, Xl, Xr}] -ls_list2dict(List) -> ls_list2dict(List, dict:new()). -ls_list2dict([], D) -> D; -ls_list2dict([{Y, Xl, Xr}|Ls], D) -> - case dict:is_key(Y, D) of - false -> ls_list2dict(Ls, dict:store(Y, [{Xl, Xr}], D)); - true -> ls_list2dict(Ls, dict:append(Y, {Xl, Xr}, D)) - end. +%% [{Y, Xl, Xr}] -> #{Y := [{Xl,Xr}]} +%% Reorganize linspans to a map with Y as key. + +linespans_to_map(Ls) -> + linespans_to_map(Ls,#{}). +linespans_to_map([{Y,Xl,Xr,C}|Ls], M) -> + case M of + #{Y := Spans} -> linespans_to_map(Ls, M#{Y := [{Xl,Xr,C}|Spans]}); + _ -> linespans_to_map(Ls, M#{Y => [{Xl,Xr,C}]}) + end; +linespans_to_map([], M) -> + M. -%% line_ls + +%% line_to_linespans +%% Anti-aliased thick line +%% Do it CPS style %% In: %% P1 :: point() %% P2 :: point() %% Out: -%% {{Ymin,Ymax}, LSD :: line_step_data()} -%% Purpose: -%% Instead of points -> intervals - - -line_ls({Xi0, Yi0},{Xi1,Yi1}) -> - % swap X with Y if line is steep - Steep = abs(Yi1 - Yi0) > abs(Xi1 - Xi0), - - {Xs0, Ys0, Xs1, Ys1} = case Steep of - true -> {Yi0,Xi0,Yi1,Xi1}; - false -> {Xi0,Yi0,Xi1,Yi1} - end, - - {X0,Y0,X1,Y1} = case Xs0 > Xs1 of - true -> {Xs1,Ys1,Xs0,Ys0}; - false -> {Xs0,Ys0,Xs1,Ys1} - end, - - DX = X1 - X0, - DY = abs(Y1 - Y0), - - Error = -DX/2, - - Ystep = case Y0 < Y1 of - true -> 1; - false -> -1 - end, - line_ls_step(X0, X1,Y0, DX, DY, Ystep, Error, X0, Steep, []). - -%% line_ls_step_(not)_steep -%% In: -%% Out: -%% [{Yi, Xl,Xr}] -%% Purpose: -%% Produce an line_interval for each Yi (Y index) - -line_ls_step(X, X1, Y, Dx, Dy, Ys, E, X0, false = Steep, LSs) when X < X1, E >= 0 -> - line_ls_step(X+1,X1,Y+Ys,Dx,Dy,Ys, E - Dx + Dy, X+1, Steep, [{Y,X0,X}|LSs]); -line_ls_step(X, X1, Y, Dx, Dy, Ys, E, X0, false = Steep, LSs) when X < X1 -> - line_ls_step(X+1,X1,Y,Dx,Dy,Ys, E + Dy, X0, Steep, LSs); -line_ls_step(X, _X1, Y, _Dx, _Dy, _Ys, _E, X0, false, LSs) -> - [{Y,X0,X}|LSs]; -line_ls_step(X, X1, Y, Dx, Dy, Ys, E, _X0, true = Steep, LSs) when X =< X1, E >= 0 -> - line_ls_step(X+1,X1,Y+Ys,Dx,Dy,Ys, E - Dx + Dy, X, Steep, [{X,Y,Y}|LSs]); -line_ls_step(X, X1, Y, Dx, Dy, Ys, E, X0, true = Steep, LSs) when X =< X1 -> - line_ls_step(X+1,X1,Y,Dx,Dy,Ys,E + Dy, X0, Steep, [{X,Y,Y}|LSs]); -line_ls_step(_X,_,_Y,_Dx,_Dy,_Ys,_E,_X0,_,LSs) -> - LSs. +%% [{Y,Xl,Xr}] +%% +line_to_linespans({X0,Y0},{X1,Y1},Wd) -> + Dx = abs(X1-X0), + Dy = abs(Y1-Y0), + Sx = if X0 < X1 -> 1; true -> -1 end, + Sy = if Y0 < Y1 -> 1; true -> -1 end, + E0 = Dx - Dy, + Ed = if Dx + Dy =:= 0 -> 1; true -> math:sqrt(Dx*Dx + Dy*Dy) end, + line_to_ls(X0,Y0,X1,Y1,Dx,Dy,Sx,Sy,E0,Ed,(Wd+1)/2,[]). + +line_to_ls(X0,Y0,X1,Y1,Dx,Dy,Sx,Sy,E,Ed,Wd,Ls0) -> + C = max(0, 255*(abs(E - Dx+Dy)/Ed - Wd + 1)), + Ls1 = [{Y0,X0,X0,C}|Ls0], + line_to_ls_sx(X0,Y0,X1,Y1,Dx,Dy,Sx,Sy,E,Ed,Wd,Ls1,E). + +line_to_ls_sx(X0,Y0,X1,Y1,Dx,Dy,Sx,Sy,E,Ed,Wd,Ls,E2) when 2*E2 > -Dx -> + line_to_ls_sx_do(X0,Y0,X1,Y1,Dx,Dy,Sx,Sy,E,Ed,Wd,Ls,E2+Dy,Y0); +line_to_ls_sx(X0,Y0,X1,Y1,Dx,Dy,Sx,Sy,E,Ed,Wd,Ls,E2) -> + line_to_ls_sy(X0,Y0,X1,Y1,Dx,Dy,Sx,Sy,E,Ed,Wd,Ls,E2,X0). + +line_to_ls_sx_do(X0,Y0,X1,Y1,Dx,Dy,Sx,Sy,E,Ed,Wd,Ls0,E2,Y) when E2 < Ed*Wd andalso + (Y1 =/= Y orelse Dx > Dy) -> + Y2 = Y + Sy, + C = max(0,255*(abs(E2)/Ed-Wd+1)), + Ls = [{Y2,X0,X0,C}|Ls0], + line_to_ls_sx_do(X0,Y0,X1,Y1,Dx,Dy,Sx,Sy,E,Ed,Wd,Ls,E2+Dx,Y2); +line_to_ls_sx_do(X0,_Y0,X1,_Y1,_Dx,_Dy,_Sx,_Sy,_E,_Ed,_Wd,Ls,_E2,_Y) when X0 =:= X1 -> + Ls; +line_to_ls_sx_do(X0,Y0,X1,Y1,Dx,Dy,Sx,Sy,E,Ed,Wd,Ls,_E2,_Y) -> + line_to_ls_sy(X0+Sx,Y0,X1,Y1,Dx,Dy,Sx,Sy,E-Dy,Ed,Wd,Ls,E,X0). + +line_to_ls_sy(X0,Y0,X1,Y1,Dx,Dy,Sx,Sy,E,Ed,Wd,Ls0,E2,X) when 2*E2 =< Dy -> + line_to_ls_sy_do(X0,Y0,X1,Y1,Dx,Dy,Sx,Sy,E,Ed,Wd,Ls0,Dx-E2,X); +line_to_ls_sy(X0,Y0,X1,Y1,Dx,Dy,Sx,Sy,E,Ed,Wd,Ls0,_E2,_X) -> + line_to_ls(X0,Y0,X1,Y1,Dx,Dy,Sx,Sy,E,Ed,Wd,Ls0). + +line_to_ls_sy_do(X0,Y0,X1,Y1,Dx,Dy,Sx,Sy,E,Ed,Wd,Ls0,E2,X) when E2 < Ed*Wd andalso + (X1 =/= X orelse Dx < Dy) -> + X2 = X + Sx, + C = max(0,255*(abs(E2)/Ed-Wd+1)), + Ls = [{Y0,X2,X2,C}|Ls0], + line_to_ls_sy_do(X0,Y0,X1,Y1,Dx,Dy,Sx,Sy,E,Ed,Wd,Ls,E2+Dy,X2); +line_to_ls_sy_do(_X0,Y0,_X1,Y1,_Dx,_Dy,_Sx,_Sy,_E,_Ed,_Wd,Ls,_E2,_X) when Y0 =:= Y1 -> + Ls; +line_to_ls_sy_do(X0,Y0,X1,Y1,Dx,Dy,Sx,Sy,E,Ed,Wd,Ls0,_E2,_X) -> + line_to_ls(X0,Y0+Sy,X1,Y1,Dx,Dy,Sx,Sy,E+Dx,Ed,Wd,Ls0). % Text |