wip self-crossing
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parent
545aff111f
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40
IV/wm.sql
40
IV/wm.sql
@ -41,9 +41,8 @@ begin
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p3 = p2;
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p2 = p1;
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p1 = p;
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if p3 is null then
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continue;
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end if;
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continue when p3 is null;
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cur_sign = sign(pi - st_angle(p1, p2, p2, p3));
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if bend is null then
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@ -169,10 +168,12 @@ declare
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j int4;
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pi real;
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angle real;
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p geometry;
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p0 geometry;
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p1 geometry;
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p2 geometry;
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p3 geometry;
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s2 real;
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s3 real;
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bend geometry;
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begin
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pi = radians(180);
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@ -183,28 +184,43 @@ begin
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p1 = null;
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p2 = null;
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p3 = null;
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for p in (select geom from st_dumppoints(bends[i]) order by path[1] asc) loop
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for p0 in (select geom from st_dumppoints(bends[i]) order by path[1] asc) loop
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p3 = p2;
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p2 = p1;
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p1 = p;
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if p3 is null then
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continue;
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end if;
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p1 = p0;
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continue when p3 is null;
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angle = angle + abs(pi - st_angle(p1, p2, p3));
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end loop;
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if abs(angle) > pi then
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raise notice 'maybe self-crossing bend %: %', st_astext(bends[i]), round(degrees(abs(angle)));
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continue when abs(angle) <= pi;
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-- sum of inflection angles for this bend is >180, so it may be self-crossing.
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-- now try to find another bend in this line that crosses this one.
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p0 = st_pointn(bends[i], 1);
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p1 = st_pointn(bends[i], -1);
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--this = st_makeline(st_pointn(bends[i], 1), st_pointn(bends[i], -1));
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-- go through each bend in this line, and see if has a potential to cross bends[i].
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-- optimization: we care only about bends which beginning and end start at different
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-- sides of the plane, separated by endpoints p0 and p1.
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for j in 1..array_length(bends, 1) loop
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continue when i = j;
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p2 = st_pointn(bends[j], 1);
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p3 = st_pointn(bends[j], -1);
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-- https://stackoverflow.com/questions/1560492
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s2 = (st_x(p0)-st_x(p1)*(st_y(p2)-st_y(p1))-(st_y(p0)-st_y(p1))*(st_x(p2)-st_x(p1)));
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s3 = (st_x(p0)-st_x(p1)*(st_y(p3)-st_y(p1))-(st_y(p0)-st_y(p1))*(st_x(p3)-st_x(p1)));
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continue when sign(s2) = sign(s3);
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-- bend j may be crossing bend i, and it has a chance to be "important" --
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-- p2 and p3 are in different sides of the plane as delimited by p0 and p1.
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-- now does it really cross the line (p0, p1)?
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end loop;
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end if;
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end loop;
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end
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