public static boolean checkFaceDirection(
IVec2[] pts, EdgeCounter edgeCount, int ptIdx1, int ptIdx2, int ptIdx3) {
// IOut.p("<"+ptIdx1+", "+ptIdx2+", "+ptIdx3+">"); //
if (edgeCount.isEdgeOnOutline(ptIdx1, ptIdx2)) {
if (ptIdx2 - ptIdx1 != 1) {
// to be sequential difference should be 1, if not, it's closing poitn of loop
int tmp = ptIdx2;
ptIdx2 = ptIdx1;
ptIdx1 = tmp;
}
if (!isFaceDirectionOnEdgeCorrect(pts[ptIdx1], pts[ptIdx2], pts[ptIdx3])) return false;
}
if (edgeCount.isEdgeOnOutline(ptIdx1, ptIdx3)) {
if (ptIdx3 - ptIdx1 != 1) {
// to be sequential difference should be 1, if not, it's closing poitn of loop
int tmp = ptIdx1;
ptIdx1 = ptIdx3;
ptIdx3 = tmp;
}
if (!isFaceDirectionOnEdgeCorrect(pts[ptIdx1], pts[ptIdx3], pts[ptIdx2])) return false;
}
if (edgeCount.isEdgeOnOutline(ptIdx2, ptIdx3)) {
if (ptIdx3 - ptIdx2 != 1) {
// to be sequential difference should be 1, if not, it's closing poitn of loop
int tmp = ptIdx3;
ptIdx3 = ptIdx2;
ptIdx2 = tmp;
}
if (!isFaceDirectionOnEdgeCorrect(pts[ptIdx2], pts[ptIdx3], pts[ptIdx1])) return false;
}
return true;
}
public static boolean isFaceCrossing(
IVec2[] pts, EdgeCounter edgeCount, int ptIdx1, int ptIdx2, int ptIdx3) {
if (edgeCount.hasOneFace(ptIdx1, ptIdx2)) {
if (isVertexOnSameSide(
pts[ptIdx1], pts[ptIdx2], pts[ptIdx3], pts[edgeCount.getFaceVertexIndex(ptIdx1, ptIdx2)]))
return true;
}
if (edgeCount.hasOneFace(ptIdx1, ptIdx3)) {
if (isVertexOnSameSide(
pts[ptIdx1], pts[ptIdx3], pts[ptIdx2], pts[edgeCount.getFaceVertexIndex(ptIdx1, ptIdx3)]))
return true;
}
if (edgeCount.hasOneFace(ptIdx2, ptIdx3)) {
if (isVertexOnSameSide(
pts[ptIdx2], pts[ptIdx3], pts[ptIdx1], pts[edgeCount.getFaceVertexIndex(ptIdx2, ptIdx3)]))
return true;
}
return false;
}
public static void checkNakedEdge(
IVec2[] pts,
ArrayList<FaceIndex> faceIdx,
ArrayList<IVec2[]> triangles,
EdgeCounter edgeCount) {
for (int i = 0; i < pts.length - 1; i++) {
// IOut.p(i+"/"+pts.length); //
for (int j = i + 1; j < pts.length; j++) {
if (edgeCount.getEdgeNum(i, j) == 1) {
boolean added = false;
// for(int k=j+1; k<pts.length && !added; k++){
for (int k = 0; k < pts.length && !added; k++) {
// fill triangle at the edge or, fill triangle in an obvious triangular hole
// not filling when 3 edges already form a triangle
FaceIndex fidx = null;
boolean addFace = false;
if (k != i && k != j) {
int idx1 = i;
int idx2 = j;
int idx3 = k;
// re-order
if (k < i) {
idx1 = k;
idx2 = i;
idx3 = j;
} else if (k < j) {
idx1 = i;
idx2 = k;
idx3 = j;
}
/*
IOut.p("checking <"+i+","+j+","+k+">"); //
IOut.p("isEdgeOnOutline("+idx1+","+idx2+") = "+
edgeCount.isEdgeOnOutline(idx1,idx2));
IOut.p("isEdgeOnOutline("+idx1+","+idx3+") = "+
edgeCount.isEdgeOnOutline(idx1,idx3));
IOut.p("isEdgeOnOutline("+idx2+","+idx3+") = "+
edgeCount.isEdgeOnOutline(idx2,idx3));
IOut.p("isFaceDirectionOnEdgeCorrect("+idx1+","+idx2+","+idx3+") = "+
isFaceDirectionOnEdgeCorrect(pts[idx1],pts[idx2],pts[idx3]));
IOut.p("isFaceDirectionOnEdgeCorrect("+idx1+","+idx3+","+idx2+") = "+
isFaceDirectionOnEdgeCorrect(pts[idx1],pts[idx3],pts[idx2]));
IOut.p("isFaceDirectionOnEdgeCorrect("+idx2+","+idx3+","+idx1+") = "+
isFaceDirectionOnEdgeCorrect(pts[idx2],pts[idx3],pts[idx1]));
IOut.p("isEdgeOpen("+idx1+","+idx2+") = "+
edgeCount.isEdgeOpen(idx1,idx2));
IOut.p("isEdgeOpen("+idx1+","+idx3+") = "+
edgeCount.isEdgeOpen(idx1,idx3));
IOut.p("isEdgeOpen("+idx2+","+idx3+") = "+
edgeCount.isEdgeOpen(idx2,idx3));
*/
if (edgeCount.isEdgeOnOutline(idx1, idx2)
&& edgeCount.isEdgeOnOutline(idx2, idx3)
&& edgeCount.hasOneFace(idx1, idx3)
&&
// isFaceDirectionOnEdgeCorrect(pts[idx1],pts[idx2],pts[idx3])){
// if idx1==0, idx2 is last point on outline and order should be idx2->idx1
isFaceDirectionOnEdgeCorrect(
pts[idx1 == 0 ? idx2 : idx1], pts[idx1 == 0 ? idx1 : idx2], pts[idx3])) {
// IOut.p("addFace 4"); //
addFace = true;
} else if (edgeCount.isEdgeOnOutline(idx1, idx3)
&& edgeCount.isEdgeOnOutline(idx2, idx3)
&& edgeCount.hasOneFace(idx1, idx2)
&&
// isFaceDirectionOnEdgeCorrect(pts[idx1],pts[idx3],pts[idx2])){
isFaceDirectionOnEdgeCorrect(
pts[idx1 == 0 ? idx3 : idx1], pts[idx1 == 0 ? idx1 : idx3], pts[idx2])) {
// IOut.p("addFace 5"); //
addFace = true;
} else if (edgeCount.isEdgeOnOutline(idx1, idx3)
&& edgeCount.isEdgeOnOutline(idx1, idx2)
&& edgeCount.hasOneFace(idx2, idx3)
&&
// isFaceDirectionOnEdgeCorrect(pts[idx2],pts[idx3],pts[idx1])){
isFaceDirectionOnEdgeCorrect(
pts[idx2 == 0 ? idx3 : idx2], pts[idx2 == 0 ? idx2 : idx3], pts[idx1])) {
// IOut.p("addFace 6"); //
addFace = true;
} else if (edgeCount.isEdgeOnOutline(idx1, idx2)
&&
// (edgeCount.isEdgeOpen(idx1,idx3) || edgeCount.isEdgeOpen(idx2,idx3))){
edgeCount.isEdgeOpen(idx1, idx3)
&& edgeCount.isEdgeOpen(idx2, idx3)) {
if (isFaceDirectionOnEdgeCorrect(
pts[idx1 == 0 ? idx2 : idx1], pts[idx1 == 0 ? idx1 : idx2], pts[idx3])
&& !isFaceCrossing(pts, edgeCount, idx1, idx2, idx3)) {
// IOut.p("addFace 1"); //
addFace = true;
}
} else if (edgeCount.isEdgeOnOutline(idx1, idx3)
&&
// (edgeCount.isEdgeOpen(idx1,idx2)||edgeCount.isEdgeOpen(idx2,idx3))){
edgeCount.isEdgeOpen(idx1, idx2)
&& edgeCount.isEdgeOpen(idx2, idx3)) {
if (isFaceDirectionOnEdgeCorrect(
pts[idx1 == 0 ? idx3 : idx1], pts[idx1 == 0 ? idx1 : idx3], pts[idx2])
&& !isFaceCrossing(pts, edgeCount, idx1, idx2, idx3)) {
// IOut.p("addFace 2"); //
addFace = true;
}
} else if (edgeCount.isEdgeOnOutline(idx2, idx3)
&&
// (edgeCount.isEdgeOpen(idx1,idx2)||edgeCount.isEdgeOpen(idx1,idx3))){
edgeCount.isEdgeOpen(idx1, idx2)
&& edgeCount.isEdgeOpen(idx1, idx3)) {
// IOut.p("isFaceCrossing("+idx1+","+idx2+","+idx3+") = "+isFaceCrossing(pts,
// edgeCount, idx1, idx2, idx3)); //
if (isFaceDirectionOnEdgeCorrect(
pts[idx2 == 0 ? idx3 : idx2], pts[idx2 == 0 ? idx2 : idx3], pts[idx1])
&& !isFaceCrossing(pts, edgeCount, idx1, idx2, idx3)) {
// IOut.p("addFace 3 <"+idx2+","+idx3+","+idx1+">"); //
addFace = true;
}
} else if ((edgeCount.getEdgeNum(idx1, idx2) == 1
&& edgeCount.getEdgeNum(idx1, idx3) == 1
&& edgeCount.getEdgeNum(idx2, idx3) == 1
&& edgeCount.getFaceVertexIndex(idx1, idx2) != -1
&& edgeCount.getFaceVertexIndex(idx1, idx3) != -1
&& edgeCount.getFaceVertexIndex(idx2, idx3) != -1
&& ((fidx = findTriangleIndexWithEdge(faceIdx, idx1, idx2)) == null
|| fidx.getOtherIndex(idx1, idx2) != idx3))) {
// IOut.p("addFace 7"); //
addFace = true;
}
if (addFace) {
// IOut.p("face added at <"+i+","+j+","+k+">"); //
// edgeCount.addFace(i,j,k);
// triangles.add(new IVec2[]{ pts[i],pts[j],pts[k]});
// faceIdx.add(new FaceIndex(i,j,k));
// IOut.p("face added at <"+idx1+","+idx2+","+idx3+">"); //
edgeCount.addFace(idx1, idx2, idx3);
triangles.add(new IVec2[] {pts[idx1], pts[idx2], pts[idx3]});
faceIdx.add(new FaceIndex(idx1, idx2, idx3));
added = true;
}
}
/*
if((edgeCount.getEdgeNum(i,k)==1&&edgeCount.getEdgeNum(j,k)==1 ||
edgeCount.getEdgeNum(i,k)==1&&edgeCount.getEdgeNum(j,k)==0 ||
edgeCount.getEdgeNum(i,k)==0&&edgeCount.getEdgeNum(j,k)==1 ) &&
(edgeCount.getFaceVertexIndex(i,j)==-1 ||
edgeCount.getFaceVertexIndex(i,k)==-1 ||
edgeCount.getFaceVertexIndex(j,k)==-1 )
||
( edgeCount.getEdgeNum(i,k)==1&&edgeCount.getEdgeNum(j,k)==1 &&
edgeCount.getFaceVertexIndex(i,j)!=-1 &&
edgeCount.getFaceVertexIndex(i,k)!=-1 &&
edgeCount.getFaceVertexIndex(j,k)!=-1 &&
((fidx = findTriangleIndexWithEdge(faceIdx, i, j)) ==null ||
fidx.getOtherIndex(i,j) != k))
){
IOut.p("face added at <"+i+","+j+","+k+">"); //
edgeCount.addFace(i,j,k);
triangles.add(new IVec2[]{ pts[i],pts[j],pts[k]});
faceIdx.add(new FaceIndex(i,j,k));
added=true;
}
*/
}
}
}
}
// remove triangles which have naked edge but not on the outline
// (likely to be inside of inner holes or outside of outer trim
for (int i = 0; i < pts.length - 1; i++) {
for (int j = i + 1; j < pts.length; j++) {
if (edgeCount.getEdgeNum(i, j) == 1 && edgeCount.getFaceVertexIndex(i, j) != -1) {
// IOut.p("naked edge found at <"+i+","+j+">"); //
FaceIndex fidx = findTriangleIndexWithEdge(faceIdx, i, j);
if (fidx != null) {
int k = fidx.getOtherIndex(i, j);
IVec2[] tr = findTriangleWithIndex(pts, triangles, i, j, k);
if (tr != null) {
triangles.remove(tr);
// IOut.p("face removed at <"+i+","+j+","+k+">"); //
}
}
}
}
}
}
/**
* Calculates Delaunay triangles out of array of 2D points
*
* @param innerPts points inside edges defined by edgePts
* @param edgePts points on the edge (the edge should be naked having only one triangle touching);
* order of edge points needs to be counter clockwise for outer trim loop, clockwise for inner
* hole trim loop.
* @return array of triangles, which consist of array of 3 points of IVec2
*/
public static IVec2[][] getTriangles(IVec2[] innerPts, IVec2[][] edgePts) {
int innerPtsNum = 0;
int edgePtsNum = 0;
if (innerPts != null) innerPtsNum = innerPts.length;
if (edgePts != null) {
for (int i = 0; i < edgePts.length; i++) edgePtsNum += edgePts[i].length;
}
IVec2[] pts = new IVec2[innerPtsNum + edgePtsNum];
if (innerPts != null) {
for (int i = 0; i < innerPts.length; i++) {
pts[i] = innerPts[i];
// IOut.p("pts["+i+"] is innerPts "+innerPts[i]); //
}
}
int[][] edgePtIdx = null;
if (edgePts != null) {
edgePtIdx = new int[edgePts.length][];
int ptIdx = innerPtsNum;
for (int i = 0; i < edgePts.length; i++) {
edgePtIdx[i] = new int[edgePts[i].length];
for (int j = 0; j < edgePts[i].length; j++) {
// IOut.p("ptIdx="+ptIdx+" / pts.length="+pts.length); //
// IOut.p("pts["+ptIdx+"] is edgePts "+edgePts[i][j]); //
pts[ptIdx] = edgePts[i][j];
edgePtIdx[i][j] = ptIdx;
ptIdx++;
}
}
}
if (pts.length == 3) {
if (isClockwise(pts[0], pts[1], pts[2]))
return new IVec2[][] {new IVec2[] {pts[0], pts[2], pts[1]}};
return new IVec2[][] {new IVec2[] {pts[0], pts[1], pts[2]}};
}
ArrayList<IVec2[]> triangles = new ArrayList<IVec2[]>();
ArrayList<FaceIndex> triangleIndex = new ArrayList<FaceIndex>();
// IOut.p("pts.length = "+pts.length); //
// for(int i=0; i<pts.length; i++) IOut.p("pts["+i+"] = "+ pts[i]); //
EdgeCounter edgeCount = new EdgeCounter(pts.length);
for (int i = 0; i < edgePtIdx.length; i++) {
for (int j = 0; j < edgePtIdx[i].length; j++) {
edgeCount.addEdge(edgePtIdx[i][j], edgePtIdx[i][(j + 1) % edgePtIdx[i].length]);
}
}
// in case a point on edges are on other loop's edge
for (int i = 0; i < edgePtIdx.length; i++) {
for (int j = 0; j < edgePtIdx[i].length; j++) {
int ept1 = edgePtIdx[i][j];
int ept2 = edgePtIdx[i][(j + 1) % edgePtIdx[i].length];
for (int k = 0; k < edgePtIdx.length; k++) {
if (k != i) {
for (int l = 0; l < edgePtIdx[k].length; l++) {
if (pts[edgePtIdx[k][l]].isStraight(pts[ept1], pts[ept2])
&& pts[edgePtIdx[k][l]].isBetween(pts[ept1], pts[ept2])) {
edgeCount.addEdge(ept1, edgePtIdx[k][l]);
edgeCount.addEdge(ept2, edgePtIdx[k][l]);
}
}
}
}
}
}
for (int i = 0; i < pts.length - 2; i++) {
// IOut.p((i+1)+"/"+(pts.length-2)); //
for (int j = i + 1; j < pts.length - 1; j++) {
for (int k = j + 1; k < pts.length && edgeCount.isEdgeOpen(i, j); k++) {
boolean anyInside = false;
// IOut.p("<"+i+","+j+","+k+">"); //
// IOut.p("isFaceCrossing = "+ isFaceCrossing(pts, edgeCount, i, j, k));
// IOut.p("checkDirectionOnEdgePoints =
// "+checkDirectionOnEdgePoints(pts,edgePts,i,j,k,innerPtsNum) );
// IOut.p("isStraight = "+pts[i].isStraight(pts[j],pts[k])); //
if (edgeCount.isEdgeOpen(i, k)
&& edgeCount.isEdgeOpen(j, k)
&& !isFaceCrossing(pts, edgeCount, i, j, k)
// && checkFaceDirection(pts, edgeCount, i, j, k)
&& checkDirectionOnEdgePoints(pts, edgePts, i, j, k, innerPtsNum) // added
&& !pts[i].isStraight(pts[j], pts[k]) // added
) {
for (int l = 0; l < pts.length && !anyInside; l++)
if (l != i && l != j && l != k) {
// IOut.p("<"+i+","+j+","+k+","+l+">"); //
if (isInsideCircumcircle(pts[l], pts[i], pts[j], pts[k])) {
// check if case pts[l] is crossing edge of trim lines
if (checkDirectionOfInnerCircumcirclePoint(
pts, edgePts, i, j, k, l, innerPtsNum)) {
anyInside = true;
// IOut.p(pts[l] + " is inside <"+pts[i]+", "+pts[j]+", "+pts[k]+">"); //
// IOut.p("pt["+l+"] is INside pt["+i+"], pt["+j+"], pt["+k+"]"); //
}
// else; // when pts[l] is crossing the edge of trim
} else {
// IOut.p(pts[l] + " is outside <"+pts[i]+", "+pts[j]+", "+pts[k]+">"); //
// IOut.p("pt["+l+"] is OUTside pt["+i+"], pt["+j+"], pt["+k+"]"); //
}
}
if (!anyInside) { // nothing is inside
// IOut.p("<"+i+","+j+","+k+">: triangle is added at "+triangles.size()); //
if (isClockwise(pts[i], pts[j], pts[k])) {
triangles.add(new IVec2[] {pts[i], pts[k], pts[j]});
triangleIndex.add(new FaceIndex(i, k, j));
} else {
triangles.add(new IVec2[] {pts[i], pts[j], pts[k]});
triangleIndex.add(new FaceIndex(i, j, k));
}
/*
if(i==0&&j==1&&k==4){
new IGCurve(new IVec[]{ new IVec(pts[i]),
new IVec(pts[j]),
new IVec(pts[k])});
}
*/
edgeCount.addFace(i, j, k);
// IOut.p("edgeCount.isEdgeOnOutline("+i+","+j+") = "+edgeCount.isEdgeOnOutline(i,j));
// IOut.p("edgeCount.getEdgeNum("+i+","+j+") = "+edgeCount.getEdgeNum(i,j));
// IOut.p("edgeCount.getFaceVertexIndex("+i+","+j+") =
// "+edgeCount.getFaceVertexIndex(i,j));
// edgeCount.addEdge(i,j);
// edgeCount.addEdge(i,k);
// edgeCount.addEdge(j,k);
}
// else IOut.p("pt out"); //
}
}
}
}
// filling holes
checkNakedEdge(pts, triangleIndex, triangles, edgeCount);
// IOut.p("trinangles.size()="+triangles.size()); //
return triangles.toArray(new IVec2[triangles.size()][]);
}