Rectangular Compartments

Divide an irregular closed polygon into component Rectangles

def Rect(srf:var[]..[])
{
	srf01 = List.Flatten(srf.Explode(),-1);
	srf02 = List.FilterByBoolMask(srf01,List.Count(srf01.Vertices.PointGeometry<1>)>3)["in"];
	crv00 = srf02.PerimeterCurves();
	pcv01 = PolyCurve.ByJoinedCurves(crv00);
	vtx01 = List.Flatten(srf02.Vertices.PointGeometry,-1);

	//Offset Perimter Curves Outwards
	seg01 = 100;
	off01 = List.Flatten(crv00,-1)[0].Length/seg01;
	pcv02 = pcv01<1>.Offset([off01,-off01]);
	pcv03 = List.FirstItem(pcv02<1>);
	pcv04 = List.LastItem(pcv02<1>);
	pcv05 = pcv03.Length > pcv04.Length ? pcv03 : pcv04;

	//Inward Vectors
	acc01 = 8;
	pnt01 = crv00<1><2>.PointAtParameter((0..1..#acc01));
	vct00 = crv00<1><2>.NormalAtParameter((0..1..#acc01));
	vct01 = List.GetItemAtIndex(vct00<1><2>,Math.Floor(acc01/2));
	pnt02 = List.Flatten(pnt01.Project(pcv05,vct01)<1><2>,-1);
	bln01 = List.AllTrue((pnt01.DistanceTo(pnt02)!=off01)<1><2>);
	vct02 = bln01 ? vct01 : vct01.Reverse();

	//Rectangle aligned to Surface Boundaries
	pnt03 = List.Flatten(pnt01.Project(pcv05,vct02)<1><2>,-1);
	dis01 = Math.Round(pnt01.DistanceTo(pnt03)-off01,6);
	bln02 = List.DropItems(dis01<1><2>,-1)==List.DropItems(dis01<1><2>,1);
	fil01 = List.IndexOf(bln02<1><2>,true);
	fil02 = fil01==-1 ? acc01 : fil01;
	fil03 = List.DropItems(bln02<1><2>,fil02<1><2>);
	fil04 = List.IndexOf(fil03<1><2>,false);
	fil05 = fil04 == -1 ? acc01-1 : fil04+1;
	fil06 = List.DropItems(pnt01<1><2>,fil02<1><2>);
	pnt04 = List.TakeItems(fil06<1><2>,fil05<1><2>);
	fil07 = List.DropItems(pnt03<1><2>,fil02<1><2>);
	pnt05 = List.TakeItems(fil07<1><2>,fil05<1><2>);
	lin01 = List.Clean(Line.ByStartPointEndPoint(pnt04,pnt05).ExtendEnd(-off01),false);
	bln03 = List.Count(List.RemoveIfNot(lin01.Intersect(pcv01)<1><2><3>,"Point")<1><2><3>)>2;
	lin02 = List.FilterByBoolMask(lin01,bln03)["out"];
	lin03 = List.FirstItem(lin02<1><2>);
	lin04 = List.LastItem(lin02<1><2>);
	vct03 = Vector.ByTwoPoints(lin03.PointAtParameter(0.5),lin04.PointAtParameter(0.5));
	vct04 = Vector.ByTwoPoints(lin04.PointAtParameter(0.5),lin03.PointAtParameter(0.5));

	//Shift edge towards Closest Vertex
	pnt06 = List.Transpose(vtx01<3>.Project(lin03<1><2>,vct03<1><2>)<1>);
	bln04 = DSCore.Object.IsNull(List.Count(pnt06<1><2><3>)>0)?true:List.Count(pnt06<1><2><3>)>0;
	dis02 = lin03.DistanceTo(List.FilterByBoolMask(vtx01,bln04<1><2>)["in"]);
	lin05 = lin03.Translate(vct04,List.MinimumItem(dis02));
	pnt07 = List.Transpose(vtx01<3>.Project(lin04<2><1>,vct04<2><1>)<1>);
	bln05 = DSCore.Object.IsNull(List.Count(pnt07<1><2><3>)>0)?true:List.Count(pnt07<1><2><3>)>0;
	dis03 = lin04.DistanceTo(List.FilterByBoolMask(vtx01,bln05<1><2>)["in"]);
	lin06 = lin04.Translate(vct03,List.MinimumItem(dis03));

	//Largest Rectangle
	lin07 = List.Transpose([lin05,lin06]);
	edg01 = List.FirstItem(lin07<1>);
	edg02 = List.LastItem(lin07<1>);
	pnt08 = List.Transpose(List.Transpose([edg01.StartPoint,edg01.EndPoint,edg02.EndPoint,edg02.StartPoint])<1>);
	rct01 = Rectangle.ByCornerPoints(pnt08);
	are01 = rct01.Patch().Area;
	rct02 = List.LastItem(List.SortByKey(rct01<1>,are01<1>)["sorted list"]<1>);
	return rct02;
};

def Divs(srf:var[]..[])
{
	divs = [Imperative]
	{
		c = 0;
		r = [];
		n = true;
		s = [];
		while (n)
		{
			r [c] = Rect(srf);
			sld01 = Surface.ByPatch(List.Flatten(r[c],-1));
			sld02 = Solid.ByUnion(Surface.Thicken(sld01,10));
			s [c] = Surface.SubtractFrom(srf,sld02);
			srf = List.Flatten(s[c],-1);
			n = List.Count(List.Flatten(r[c],-1))>0;
			c = c+1;

		}
		rct01 = List.DropItems(List.Flatten(r,-1),-1);
		prm01 = (List.LastItem(List.DropItems(List.Flatten(s,-1),-1)).Explode());
		return [rct01,prm01];
	}
	crv01 = PolyCurve.ByJoinedCurves(divs[1].PerimeterCurves());
	crv02 = List.Flatten([divs[0],crv01],1);


	return crv02;
};

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def Rect(srf:var[]..[]) { srf01 = List.Flatten(srf.Explode(),-1); srf02 = List.FilterByBoolMask(srf01,List.Count(srf01.Vertices.PointGeometry<1>)>3)["in"]; crv00 = srf02.PerimeterCurves(); pcv01 = PolyCurve.ByJoinedCurves(crv00); vtx01 = List.Flatten(srf02.Vertices.PointGeometry,-1); //Offset Perimter Curves Outwards seg01 = 100; off01 = List.Flatten(crv00,-1)[0].Length/seg01; pcv02 = pcv01<1>.Offset([off01,-off01]); pcv03 = List.FirstItem(pcv02<1>); pcv04 = List.LastItem(pcv02<1>); pcv05 = pcv03.Length > pcv04.Length ? pcv03 : pcv04; //Inward Vectors acc01 = 8; pnt01 = crv00<1><2>.PointAtParameter((0..1..#acc01)); vct00 = crv00<1><2>.NormalAtParameter((0..1..#acc01)); vct01 = List.GetItemAtIndex(vct00<1><2>,Math.Floor(acc01/2)); pnt02 = List.Flatten(pnt01.Project(pcv05,vct01)<1><2>,-1); bln01 = List.AllTrue((pnt01.DistanceTo(pnt02)!=off01)<1><2>); vct02 = bln01 ? vct01 : vct01.Reverse(); //Rectangle aligned to Surface Boundaries pnt03 = List.Flatten(pnt01.Project(pcv05,vct02)<1><2>,-1); dis01 = Math.Round(pnt01.DistanceTo(pnt03)-off01,6); bln02 = List.DropItems(dis01<1><2>,-1)==List.DropItems(dis01<1><2>,1); fil01 = List.IndexOf(bln02<1><2>,true); fil02 = fil01==-1 ? acc01 : fil01; fil03 = List.DropItems(bln02<1><2>,fil02<1><2>); fil04 = List.IndexOf(fil03<1><2>,false); fil05 = fil04 == -1 ? acc01-1 : fil04+1; fil06 = List.DropItems(pnt01<1><2>,fil02<1><2>); pnt04 = List.TakeItems(fil06<1><2>,fil05<1><2>); fil07 = List.DropItems(pnt03<1><2>,fil02<1><2>); pnt05 = List.TakeItems(fil07<1><2>,fil05<1><2>); lin01 = List.Clean(Line.ByStartPointEndPoint(pnt04,pnt05).ExtendEnd(-off01),false); bln03 = List.Count(List.RemoveIfNot(lin01.Intersect(pcv01)<1><2><3>,"Point")<1><2><3>)>2; lin02 = List.FilterByBoolMask(lin01,bln03)["out"]; lin03 = List.FirstItem(lin02<1><2>); lin04 = List.LastItem(lin02<1><2>); vct03 = Vector.ByTwoPoints(lin03.PointAtParameter(0.5),lin04.PointAtParameter(0.5)); vct04 = Vector.ByTwoPoints(lin04.PointAtParameter(0.5),lin03.PointAtParameter(0.5)); //Shift edge towards Closest Vertex pnt06 = List.Transpose(vtx01<3>.Project(lin03<1><2>,vct03<1><2>)<1>); bln04 = DSCore.Object.IsNull(List.Count(pnt06<1><2><3>)>0)?true:List.Count(pnt06<1><2><3>)>0; dis02 = lin03.DistanceTo(List.FilterByBoolMask(vtx01,bln04<1><2>)["in"]); lin05 = lin03.Translate(vct04,List.MinimumItem(dis02)); pnt07 = List.Transpose(vtx01<3>.Project(lin04<2><1>,vct04<2><1>)<1>); bln05 = DSCore.Object.IsNull(List.Count(pnt07<1><2><3>)>0)?true:List.Count(pnt07<1><2><3>)>0; dis03 = lin04.DistanceTo(List.FilterByBoolMask(vtx01,bln05<1><2>)["in"]); lin06 = lin04.Translate(vct03,List.MinimumItem(dis03)); //Largest Rectangle lin07 = List.Transpose([lin05,lin06]); edg01 = List.FirstItem(lin07<1>); edg02 = List.LastItem(lin07<1>); pnt08 = List.Transpose(List.Transpose([edg01.StartPoint,edg01.EndPoint,edg02.EndPoint,edg02.StartPoint])<1>); rct01 = Rectangle.ByCornerPoints(pnt08); are01 = rct01.Patch().Area; rct02 = List.LastItem(List.SortByKey(rct01<1>,are01<1>)["sorted list"]<1>); return rct02; };

def Divs(srf:var[]..[]) { divs = [Imperative] { c = 0; r = []; n = true; s = []; while (n) { r [c] = Rect(srf); sld01 = Surface.ByPatch(List.Flatten(r[c],-1)); sld02 = Solid.ByUnion(Surface.Thicken(sld01,10)); s [c] = Surface.SubtractFrom(srf,sld02); srf = List.Flatten(s[c],-1); n = List.Count(List.Flatten(r[c],-1))>0; c = c+1; } rct01 = List.DropItems(List.Flatten(r,-1),-1); prm01 = (List.LastItem(List.DropItems(List.Flatten(s,-1),-1)).Explode()); return [rct01,prm01]; } crv01 = PolyCurve.ByJoinedCurves(divs[1].PerimeterCurves()); crv02 = List.Flatten([divs[0],crv01],1); return crv02; };