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December 31, 2015 02:09
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Module for getting "vertical lines" (see http://stackoverflow.com/q/20521098/49197) It also contain tree pretty printer (far more sophisticated then getting vertical lines BTW)
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-module(vertical_tree). | |
-export([draw/1, get_verical_lines/1]). | |
-record(node, { | |
value, | |
left = nil, | |
right = nil | |
}). | |
get_verical_lines(Root) -> | |
{L, R} = get_verical_lines(Root, zip_new()), | |
tl(lists:reverse(L, R)). % concatenate zipper and cut off surplus empty list | |
get_verical_lines(nil, Zip) -> Zip; | |
get_verical_lines(#node{value = V, left = L, right = R}, Zip) -> | |
Zip1 = zip_right(get_verical_lines(L, zip_left(Zip))), | |
Zip2 = zip_left(get_verical_lines(R, zip_right(Zip1))), | |
zip_add(V, Zip2). | |
zip_new() -> {[], []}. | |
zip_add(V, {L, [] }) -> {L, [[V] ]}; | |
zip_add(V, {L, [H|R]}) -> {L, [[V|H]|R]}. | |
zip_left({[], R}) -> {[], [[]|R]}; | |
zip_left({[H|T], R}) -> {T, [H |R]}. | |
zip_right({L, [] }) -> {[[]|L], []}; | |
zip_right({L, [H|T]}) -> {[H |L], T }. | |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
%%% Drawing of tree | |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
%%% | |
%%% It returns io_list so use for real visualisation | |
%%% io:put_chars(vertical_tree:draw(Tree)). | |
%%% | |
-record(box, { | |
width = 0, | |
draw = [] | |
}). | |
draw(nil) -> []; | |
draw(#node{value = V, left = L, right = R}) -> | |
LB = draw_box(left, L, #box{}), | |
{LPos, Label} = label_to_right(V, LB, []), | |
RB = draw_box(right, R, boundbox(expand_box(LB), LPos+1)), | |
[lists:reverse(X, [$\n]) || X <- [Label | RB#box.draw]]. | |
draw_box(_, nil, Box) -> Box; | |
draw_box(Dir, #node{value = V, left = L, right = R}, Box) -> | |
{LineT, LabelT, B} = cut2lines(Box), | |
LB = draw_box(left, L, B), | |
{LPos, Label} = label_to_right(V, LB, LabelT), | |
RB = draw_box(right, R, boundbox(expand_box(LB), LPos+1)), | |
BBox = boundbox(RB, length(Label)-1), | |
Line = case Dir of | |
right -> drawline($\\, LPos, Box#box.width, LineT); | |
left -> drawline($/, LPos, BBox#box.width, LineT) | |
end, | |
add2lines(Line, Label, BBox). | |
cut2lines(#box{draw = [Line, Label|Rest]} = Box) -> | |
{Line, Label, Box#box{draw = Rest}}; | |
cut2lines(#box{draw = []} = Box) -> {[], [], Box}. | |
add2lines(A, B, Box) -> | |
Box#box{ draw = [A, B | Box#box.draw] }. | |
label_to_right(V, Box, Tail) -> | |
label(V, Box#box.width, Tail). | |
label(V, Pos, Tail) -> | |
Str = lists:flatten(io_lib:write(V)), | |
HalfStr = length(Str) div 2, | |
Line = expandline(Pos - HalfStr, Tail), | |
{length(Line) + HalfStr, [$\s|lists:reverse(Str, Line)]}. | |
expand_box(Box) -> | |
expand_box(Box, 1). | |
expand_box(Box, Width) -> | |
setwidth(Box, Box#box.width + Width). | |
boundbox(Box, Width) -> | |
setwidth(Box, max(Box#box.width, Width)). | |
setwidth(Box, Width) -> | |
Box#box{width = Width}. | |
drawline(Symb, A, B, Tail) -> | |
[Symb | expandline((A+B) div 2, Tail)]. | |
expandline(Pos, Tail) -> | |
spaces(Pos - length(Tail), Tail). | |
spaces(Left, Line) when Left > 0 -> | |
spaces(Left - 1, [$\s|Line]); | |
spaces(_, Line) -> Line. |
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