public static IntPoint[][] nfpToClipperCoordinates(NFP nfp, double clipperScale = 10000000) { List <IntPoint[]> clipperNfp = new List <IntPoint[]>(); // children first if (nfp.Childrens != null && nfp.Childrens.Count > 0) { for (var j = 0; j < nfp.Childrens.Count; j++) { if (GeometryUtil.polygonArea(nfp.Childrens[j]) < 0) { nfp.Childrens[j].reverse(); } var childNfp = ClipperHelper.ScaleUpPaths(nfp.Childrens[j], clipperScale); clipperNfp.Add(childNfp); } } if (GeometryUtil.polygonArea(nfp) > 0) { nfp.reverse(); } var outerNfp = ClipperHelper.ScaleUpPaths(nfp, clipperScale); clipperNfp.Add(outerNfp); return(clipperNfp.ToArray()); }
//public static NFP[] Convolve(NFP A, NFP B) //{ // Dictionary<string, List<PointF>> dic1 = new Dictionary<string, List<PointF>>(); // Dictionary<string, List<double>> dic2 = new Dictionary<string, List<double>>(); // dic2.Add("A", new List<double>()); // foreach (var item in A.Points) // { // var target = dic2["A"]; // target.Add(item.X); // target.Add(item.Y); // } // dic2.Add("B", new List<double>()); // foreach (var item in B.Points) // { // var target = dic2["B"]; // target.Add(item.X); // target.Add(item.Y); // } // List<double> hdat = new List<double>(); // foreach (var item in A.Childrens) // { // foreach (var pitem in item.Points) // { // hdat.Add(pitem.X); // hdat.Add(pitem.Y); // } // } // var aa = dic2["A"]; // var bb = dic2["B"]; // var arr1 = A.Childrens.Select(z => z.Points.Count() * 2).ToArray(); // MinkowskiWrapper.setData(aa.Count, aa.ToArray(), A.Childrens.Count, arr1, hdat.ToArray(), bb.Count, bb.ToArray()); // MinkowskiWrapper.calculateNFP(); // int[] sizes = new int[2]; // MinkowskiWrapper.getSizes1(sizes); // int[] sizes1 = new int[sizes[0]]; // int[] sizes2 = new int[sizes[1]]; // MinkowskiWrapper.getSizes2(sizes1, sizes2); // double[] dat1 = new double[sizes1.Sum()]; // double[] hdat1 = new double[sizes2.Sum()]; // MinkowskiWrapper.getResults(dat1, hdat1); // if (sizes1.Count() > 1) // { // throw new ArgumentException("sizes1 cnt >1"); // } // //convert back to answer here // bool isa = true; // List<PointF> Apts = new List<PointF>(); // List<List<double>> holesval = new List<List<double>>(); // bool holes = false; // for (int i = 0; i < dat1.Length; i += 2) // { // var x1 = (float)dat1[i]; // var y1 = (float)dat1[i + 1]; // Apts.Add(new PointF(x1, y1)); // } // int index = 0; // for (int i = 0; i < sizes2.Length; i++) // { // holesval.Add(new List<double>()); // for (int j = 0; j < sizes2[i]; j++) // { // holesval.Last().Add(hdat1[index]); // index++; // } // } // List<List<PointF>> holesout = new List<List<PointF>>(); // foreach (var item in holesval) // { // holesout.Add(new List<PointF>()); // for (int i = 0; i < item.Count; i += 2) // { // var x = (float)item[i]; // var y = (float)item[i + 1]; // holesout.Last().Add(new PointF(x, y)); // } // } // NFP ret = new NFP(); // ret.Points = new SvgPoint[] { }; // foreach (var item in Apts) // { // ret.AddPoint(new SvgPoint(item.X, item.Y)); // } // foreach (var item in holesout) // { // if (ret.Childrens == null) // ret.Childrens = new List<NFP>(); // ret.Childrens.Add(new NFP()); // ret.Childrens.Last().Points = new SvgPoint[] { }; // foreach (var hitem in item) // { // ret.Childrens.Last().AddPoint(new SvgPoint(hitem.X, hitem.Y)); // } // } // var res = new NFP[] { ret }; // return res; //} public static NFP getOuterNfp(NFP A, NFP B, bool inside = false) { NFP[] nfp = null; if (inside || (A.Childrens != null && A.Childrens.Count > 0)) { nfp = DeepNest.Convolve(A, B); } else { var Ac = ClipperHelper.ScaleUpPaths(A, 10000000); var Bc = ClipperHelper.ScaleUpPaths(B, 10000000); for (var i = 0; i < Bc.Length; i++) { Bc[i].X *= -1; Bc[i].Y *= -1; } var solution = ClipperLib.Clipper.MinkowskiSum(new List <IntPoint>(Ac), new List <IntPoint>(Bc), true); NFP clipperNfp = null; double?largestArea = null; for (int i = 0; i < solution.Count(); i++) { var n = toNestCoordinates(solution[i].ToArray(), 10000000); var sarea = GeometryUtil.polygonArea(n); if (largestArea == null || largestArea > sarea) { clipperNfp = n; largestArea = sarea; } } for (var i = 0; i < clipperNfp.Length; i++) { clipperNfp[i].X += B[0].X; clipperNfp[i].Y += B[0].Y; } nfp = new NFP[] { new NFP() { Points = clipperNfp.Points } }; } if (nfp == null || nfp.Length == 0) { //console.log('holy shit', nfp, A, B, JSON.stringify(A), JSON.stringify(B)); return(null); } NFP nfps = nfp.First(); if (nfps == null || nfps.Length == 0) { return(null); } return(nfps); }
// converts a polygon from normal float coordinates to integer coordinates used by clipper, as well as x/y -> X/Y public static IntPoint[] svgToClipper2(NFP polygon, double clipperScale, double?scale = null) { var d = ClipperHelper.ScaleUpPaths(polygon, scale == null ? clipperScale : scale.Value); return(d.ToArray()); }
public static NFP simplifyFunction(NFP polygon, bool inside, double clipperScale, double curveTolerance = 0.72, bool hullSimplify = false) { var tolerance = 4 * curveTolerance; // give special treatment to line segments above this length (squared) var fixedTolerance = 40 * curveTolerance * 40 * curveTolerance; int i, j, k; if (hullSimplify) { // use convex hull var hull = getHull(polygon); if (hull != null) { return(hull); } else { return(polygon); } } var cleaned = cleanPolygon2(polygon, clipperScale); if (cleaned != null && cleaned.Length > 1) { polygon = cleaned; } else { return(polygon); } // polygon to polyline var copy = polygon.slice(0); copy.push(copy[0]); // mark all segments greater than ~0.25 in to be kept // the PD simplification algo doesn't care about the accuracy of long lines, only the absolute distance of each point // we care a great deal for (i = 0; i < copy.Length - 1; i++) { var p1 = copy[i]; var p2 = copy[i + 1]; var sqd = (p2.X - p1.X) * (p2.X - p1.X) + (p2.Y - p1.Y) * (p2.Y - p1.Y); if (sqd > fixedTolerance) { p1.marked = true; p2.marked = true; } } var simple = Simplify.simplify(copy, tolerance, true); // now a polygon again //simple.pop(); simple.Points = simple.Points.Take(simple.Points.Count() - 1).ToArray(); // could be dirty again (self intersections and/or coincident points) simple = cleanPolygon2(simple, clipperScale); // simplification process reduced poly to a line or point if (simple == null) { simple = polygon; } var offsets = polygonOffsetDeepNest(simple, inside ? -tolerance : tolerance, clipperScale); NFP offset = null; double offsetArea = 0; List <NFP> holes = new List <NFP>(); for (i = 0; i < offsets.Length; i++) { var area = GeometryUtil.polygonArea(offsets[i]); if (offset == null || area < offsetArea) { offset = offsets[i]; offsetArea = area; } if (area > 0) { holes.Add(offsets[i]); } } // mark any points that are exact for (i = 0; i < simple.Length; i++) { var seg = new NFP(); seg.AddPoint(simple[i]); seg.AddPoint(simple[i + 1 == simple.Length ? 0 : i + 1]); var index1 = find(seg[0], polygon); var index2 = find(seg[1], polygon); if (index1 + 1 == index2 || index2 + 1 == index1 || (index1 == 0 && index2 == polygon.Length - 1) || (index2 == 0 && index1 == polygon.Length - 1)) { seg[0].exact = true; seg[1].exact = true; } } var numshells = 4; NFP[] shells = new NFP[numshells]; for (j = 1; j < numshells; j++) { var delta = j * (tolerance / numshells); delta = inside ? -delta : delta; var shell = polygonOffsetDeepNest(simple, delta, clipperScale); if (shell.Count() > 0) { shells[j] = shell.First(); } else { //shells[j] = shell; } } if (offset == null) { return(polygon); } // selective reversal of offset for (i = 0; i < offset.Length; i++) { var o = offset[i]; var target = getTarget(o, simple, 2 * tolerance); // reverse point offset and try to find exterior points var test = clone(offset); test.Points[i] = new SvgPoint(target.X, target.Y); if (!exterior(test, polygon, inside)) { o.X = target.X; o.Y = target.Y; } else { // a shell is an intermediate offset between simple and offset for (j = 1; j < numshells; j++) { if (shells[j] != null) { var shell = shells[j]; var delta = j * (tolerance / numshells); target = getTarget(o, shell, 2 * delta); test = clone(offset); test.Points[i] = new SvgPoint(target.X, target.Y); if (!exterior(test, polygon, inside)) { o.X = target.X; o.Y = target.Y; break; } } } } } // straighten long lines // a rounded rectangle would still have issues at this point, as the long sides won't line up straight var straightened = false; for (i = 0; i < offset.Length; i++) { var p1 = offset[i]; var p2 = offset[i + 1 == offset.Length ? 0 : i + 1]; var sqd = (p2.X - p1.X) * (p2.X - p1.X) + (p2.Y - p1.Y) * (p2.Y - p1.Y); if (sqd < fixedTolerance) { continue; } for (j = 0; j < simple.Length; j++) { var s1 = simple[j]; var s2 = simple[j + 1 == simple.Length ? 0 : j + 1]; var sqds = (p2.X - p1.X) * (p2.X - p1.X) + (p2.Y - p1.Y) * (p2.Y - p1.Y); if (sqds < fixedTolerance) { continue; } if ((GeometryUtil._almostEqual(s1.X, s2.X) || GeometryUtil._almostEqual(s1.Y, s2.Y)) && // we only really care about vertical and horizontal lines GeometryUtil._withinDistance(p1, s1, 2 * tolerance) && GeometryUtil._withinDistance(p2, s2, 2 * tolerance) && (!GeometryUtil._withinDistance(p1, s1, curveTolerance / 1000) || !GeometryUtil._withinDistance(p2, s2, curveTolerance / 1000))) { p1.X = s1.X; p1.Y = s1.Y; p2.X = s2.X; p2.Y = s2.Y; straightened = true; } } } //if(straightened){ var Ac = ClipperHelper.ScaleUpPaths(offset, 10000000); var Bc = ClipperHelper.ScaleUpPaths(polygon, 10000000); var combined = new List <List <IntPoint> >(); var clipper = new ClipperLib.Clipper(); clipper.AddPath(Ac.ToList(), ClipperLib.PolyType.ptSubject, true); clipper.AddPath(Bc.ToList(), ClipperLib.PolyType.ptSubject, true); // the line straightening may have made the offset smaller than the simplified if (clipper.Execute(ClipperLib.ClipType.ctUnion, combined, ClipperLib.PolyFillType.pftNonZero, ClipperLib.PolyFillType.pftNonZero)) { double?largestArea = null; for (i = 0; i < combined.Count; i++) { var n = toNestCoordinates(combined[i].ToArray(), 10000000); var sarea = -GeometryUtil.polygonArea(n); if (largestArea == null || largestArea < sarea) { offset = n; largestArea = sarea; } } } //} cleaned = cleanPolygon2(offset, clipperScale); if (cleaned != null && cleaned.Length > 1) { offset = cleaned; } // mark any points that are exact (for line merge detection) for (i = 0; i < offset.Length; i++) { var seg = new SvgPoint[] { offset[i], offset[i + 1 == offset.Length ? 0 : i + 1] }; var index1 = find(seg[0], polygon); var index2 = find(seg[1], polygon); if (index1 == null) { index1 = 0; } if (index2 == null) { index2 = 0; } if (index1 + 1 == index2 || index2 + 1 == index1 || (index1 == 0 && index2 == polygon.Length - 1) || (index2 == 0 && index1 == polygon.Length - 1)) { seg[0].exact = true; seg[1].exact = true; } } if (!inside && holes != null && holes.Count > 0) { offset.Childrens = holes; } return(offset); }
// converts a polygon from normal float coordinates to integer coordinates used by clipper, as well as x/y -> X/Y private static IntPoint[] svgToClipper(NFP polygon, double clipperScale) { var d = ClipperHelper.ScaleUpPaths(polygon, clipperScale); return(d.ToArray()); }