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Optimizations for decompose_path()
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@ -75,8 +75,9 @@ function select(list, start, end=undef) =
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// slice([3,4,5,6,7,8,9], 6, -1); // Returns [9]
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// slice([3,4,5,6,7,8,9], 2, -2); // Returns [5,6,7,8]
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function slice(arr,st,end) = let(
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s=st<0?(len(arr)+st):st,
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e=end<0?(len(arr)+end+1):end
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l=len(arr),
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s=st<0?(l+st):st,
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e=end<0?(l+end+1):end
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) [for (i=[s:1:e-1]) if (e>s) arr[i]];
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65
paths.scad
65
paths.scad
@ -549,8 +549,37 @@ function decompose_path(path, closed=true, eps=EPSILON) =
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path = cleanup_path(path, eps=eps),
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tagged = _tag_self_crossing_subpaths(path, closed=closed, eps=eps),
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kept = [for (sub = tagged) if(sub[0] == "O") sub[1]],
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outregion = assemble_path_fragments(kept, eps=eps)
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) outregion;
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completed = [for (frag=kept) if(is_closed_path(frag)) frag],
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incomplete = [for (frag=kept) if(!is_closed_path(frag)) frag],
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defrag = _path_fast_defragment(incomplete, eps=eps),
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completed2 = assemble_path_fragments(defrag, eps=eps)
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) concat(completed2,completed);
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function _path_fast_defragment(fragments, eps=EPSILON, _done=[]) =
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len(fragments)==0? _done :
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let(
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path = fragments[0],
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endpt = select(path,-1),
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extenders = [
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for (i = [1:1:len(fragments)-1]) let(
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test1 = approx(endpt,fragments[i][0],eps=eps),
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test2 = approx(endpt,select(fragments[i],-1),eps=eps)
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) if (test1 || test2) (test1? i : -1)
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]
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) len(extenders) == 1 && extenders[0] >= 0? _path_fast_defragment(
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fragments=[
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concat(select(path,0,-2),fragments[extenders[0]]),
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for (i = [1:1:len(fragments)-1])
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if (i != extenders[0]) fragments[i]
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],
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eps=eps,
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_done=_done
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) : _path_fast_defragment(
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fragments=[for (i = [1:1:len(fragments)-1]) fragments[i]],
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eps=eps,
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_done=concat(_done,[deduplicate(path,closed=true,eps=eps)])
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);
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function _extreme_angle_fragment(seg, fragments, rightmost=true, eps=EPSILON) =
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@ -596,33 +625,29 @@ function _extreme_angle_fragment(seg, fragments, rightmost=true, eps=EPSILON) =
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// Arguments:
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// fragments = List of polylines to be assembled into complete polygons.
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// rightmost = If true, assemble paths using rightmost turns. Leftmost if false.
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// startfrag = The fragment to start with. Default: 0
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// eps = The epsilon error value to determine whether two points coincide. Default: `EPSILON` (1e-9)
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function assemble_a_path_from_fragments(fragments, rightmost=true, eps=EPSILON) =
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function assemble_a_path_from_fragments(fragments, rightmost=true, startfrag=0, eps=EPSILON) =
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len(fragments)==0? _finished :
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let(
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path = fragments[0],
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newfrags = slice(fragments, 1, -1)
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path = fragments[startfrag],
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newfrags = [for (i=idx(fragments)) if (i!=startfrag) fragments[i]]
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) is_closed_path(path, eps=eps)? (
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// starting fragment is already closed
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[path, newfrags]
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) : let(
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// Find rightmost/leftmost continuation fragment
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seg = select(path,-2,-1),
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frags = slice(fragments,1,-1),
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extrema = _extreme_angle_fragment(seg=seg, fragments=frags, rightmost=rightmost, eps=eps),
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extrema = _extreme_angle_fragment(seg=seg, fragments=newfrags, rightmost=rightmost, eps=eps),
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foundfrag = extrema[0],
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remainder = extrema[1],
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newfrags = remainder
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remainder = extrema[1]
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) is_undef(foundfrag)? (
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// No remaining fragments connect! INCOMPLETE PATH!
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// Treat it as complete.
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[path, newfrags]
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[path, remainder]
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) : is_closed_path(foundfrag, eps=eps)? (
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let(
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newfrags = concat([path], remainder)
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)
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// Found fragment is already closed
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[foundfrag, newfrags]
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[foundfrag, concat([path], remainder)]
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) : let(
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fragend = select(foundfrag,-1),
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hits = [for (i = idx(path,end=-2)) if(approx(path[i],fragend,eps=eps)) i]
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@ -661,19 +686,15 @@ function assemble_path_fragments(fragments, eps=EPSILON, _finished=[]) =
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minxidx = min_index([
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for (frag=fragments) min(subindex(frag,0))
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]),
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promoted = [
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fragments[minxidx],
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for (i=idx(fragments))
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if (i!=minxidx)
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fragments[i]
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],
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result_l = assemble_a_path_from_fragments(
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fragments=promoted,
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fragments=fragments,
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startfrag=minxidx,
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rightmost=false,
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eps=eps
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),
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result_r = assemble_a_path_from_fragments(
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fragments=promoted,
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fragments=fragments,
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startfrag=minxidx,
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rightmost=true,
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eps=eps
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),
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@ -8,7 +8,7 @@
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//////////////////////////////////////////////////////////////////////
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BOSL_VERSION = [2,0,251];
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BOSL_VERSION = [2,0,252];
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// Section: BOSL Library Version Functions
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