+ if ((drl+addv) > 0) {
+ int n1,n2;
+ if (nr>nl) {
+ n1 = 1;
+ n2 = drl + 1;
+ TColgp_SequenceOfXY UVtmp;
+ double drparam = npr.Value(nr) - npr.Value(nnn-1);
+ double dlparam = npl.Value(nnn) - npl.Value(nnn-1);
+ double y0,y1;
+ for (i=1; i<=drl; i++) {
+ // add existed nodes from right edge
+ NodesC.SetValue(nb,i+1,uv_er[nnn+i-2].node);
+ //double dtparam = npt.Value(i+1);
+ y1 = npr.Value(nnn+i-1); // param on right edge
+ double dpar = (y1 - npr.Value(nnn-1))/drparam;
+ y0 = npl.Value(nnn-1) + dpar*dlparam; // param on left edge
+ double dy = y1 - y0;
+ for (j=1; j<nb; j++) {
+ double x = npt.Value(i+1) + npb.Value(j)*(1-npt.Value(i+1));
+ double y = y0 + dy*x;
+ gp_UV UV = calcUV2(x, y, quad, a0, a1, a2, a3);
+ gp_Pnt P = S->Value(UV.X(),UV.Y());
+ SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
+ meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
+ NodesC.SetValue(j,i+1,N);
+ }
+ }
+ double dy0 = (1-y0)/(addv+1);
+ double dy1 = (1-y1)/(addv+1);
+ for (i=1; i<=addv; i++) {
+ double yy0 = y0 + dy0*i;
+ double yy1 = y1 + dy1*i;
+ double dyy = yy1 - yy0;
+ for (j=1; j<=nb; j++) {
+ double x = npt.Value(i+1+drl) +
+ npb.Value(j) * (npt.Value(nt-i) - npt.Value(i+1+drl));
+ double y = yy0 + dyy*x;
+ gp_UV UV = calcUV2(x, y, quad, a0, a1, a2, a3);
+ gp_Pnt P = S->Value(UV.X(),UV.Y());
+ SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
+ meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
+ NodesC.SetValue(j,i+drl+1,N);
+ }
+ }
+ }
+ else { // nr<nl
+ n2 = 1;
+ n1 = drl + 1;
+ TColgp_SequenceOfXY UVtmp;
+ double dlparam = npl.Value(nl) - npl.Value(nnn-1);
+ double drparam = npr.Value(nnn) - npr.Value(nnn-1);
+ double y0 = npl.Value(nnn-1);
+ double y1 = npr.Value(nnn-1);
+ for (i=1; i<=drl; i++) {
+ // add existed nodes from right edge
+ NodesC.SetValue(1,i+1,uv_el[nnn+i-2].node);
+ y0 = npl.Value(nnn+i-1); // param on left edge
+ double dpar = (y0 - npl.Value(nnn-1))/dlparam;
+ y1 = npr.Value(nnn-1) + dpar*drparam; // param on right edge
+ double dy = y1 - y0;
+ for (j=2; j<=nb; j++) {
+ double x = npb.Value(j)*npt.Value(nt-i);
+ double y = y0 + dy*x;
+ gp_UV UV = calcUV2(x, y, quad, a0, a1, a2, a3);
+ gp_Pnt P = S->Value(UV.X(),UV.Y());
+ SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
+ meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
+ NodesC.SetValue(j,i+1,N);
+ }
+ }
+ double dy0 = (1-y0)/(addv+1);
+ double dy1 = (1-y1)/(addv+1);
+ for (i=1; i<=addv; i++) {
+ double yy0 = y0 + dy0*i;
+ double yy1 = y1 + dy1*i;
+ double dyy = yy1 - yy0;
+ for (j=1; j<=nb; j++) {
+ double x = npt.Value(i+1) +
+ npb.Value(j) * (npt.Value(nt-i-drl) - npt.Value(i+1));
+ double y = yy0 + dyy*x;
+ gp_UV UV = calcUV2(x, y, quad, a0, a1, a2, a3);
+ gp_Pnt P = S->Value(UV.X(),UV.Y());
+ SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
+ meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
+ NodesC.SetValue(j,i+drl+1,N);
+ }
+ }
+ }
+ // create faces
+ for (j=1; j<=drl+addv; j++) {
+ for (i=1; i<nb; i++) {
+ if (WisF) {
+ SMDS_MeshFace* F =
+ myHelper->AddFace(NodesC.Value(i,j), NodesC.Value(i+1,j),
+ NodesC.Value(i+1,j+1), NodesC.Value(i,j+1));
+ if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
+ }
+ }
+ } // end nr<nl
+
+ StdMeshers_Array2OfNode NodesLast(1,nt,1,2);
+ for (i=1; i<=nt; i++) {
+ NodesLast.SetValue(i,2,uv_et[i-1].node);
+ }
+ int nnn=0;
+ for (i=n1; i<drl+addv+1; i++) {
+ nnn++;
+ NodesLast.SetValue(nnn,1,NodesC.Value(1,i));
+ }
+ for (i=1; i<=nb; i++) {
+ nnn++;
+ NodesLast.SetValue(nnn,1,NodesC.Value(i,drl+addv+1));
+ }
+ for (i=drl+addv; i>=n2; i--) {
+ nnn++;
+ NodesLast.SetValue(nnn,1,NodesC.Value(nb,i));
+ }
+ for (i=1; i<nt; i++) {
+ if (WisF) {
+ SMDS_MeshFace* F =
+ myHelper->AddFace(NodesLast.Value(i,1), NodesLast.Value(i+1,1),
+ NodesLast.Value(i+1,2), NodesLast.Value(i,2));
+ if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
+ }
+ }
+ } // if ((drl+addv) > 0)
+
+ } // end new version implementation
+
+ bool isOk = true;
+ return isOk;
+}
+
+
+//=======================================================================
+/*!
+ * Evaluate only quandrangle faces
+ */
+//=======================================================================
+
+bool StdMeshers_Quadrangle_2D::evaluateQuadPref(SMESH_Mesh & aMesh,
+ const TopoDS_Shape& aShape,
+ std::vector<int>& aNbNodes,
+ MapShapeNbElems& aResMap,
+ bool IsQuadratic)
+{
+ // Auxilary key in order to keep old variant
+ // of meshing after implementation new variant
+ // for bug 0016220 from Mantis.
+ bool OldVersion = false;
+ if (myQuadType == QUAD_QUADRANGLE_PREF_REVERSED)
+ OldVersion = true;
+
+ const TopoDS_Face& F = TopoDS::Face(aShape);
+ Handle(Geom_Surface) S = BRep_Tool::Surface(F);
+
+ int nb = aNbNodes[0];
+ int nr = aNbNodes[1];
+ int nt = aNbNodes[2];
+ int nl = aNbNodes[3];
+ int dh = abs(nb-nt);
+ int dv = abs(nr-nl);
+
+ if (dh>=dv) {
+ if (nt>nb) {
+ // it is a base case => not shift
+ }
+ else {
+ // we have to shift on 2
+ nb = aNbNodes[2];
+ nr = aNbNodes[3];
+ nt = aNbNodes[0];
+ nl = aNbNodes[1];
+ }
+ }
+ else {
+ if (nr>nl) {
+ // we have to shift quad on 1
+ nb = aNbNodes[3];
+ nr = aNbNodes[0];
+ nt = aNbNodes[1];
+ nl = aNbNodes[2];
+ }
+ else {
+ // we have to shift quad on 3
+ nb = aNbNodes[1];
+ nr = aNbNodes[2];
+ nt = aNbNodes[3];
+ nl = aNbNodes[0];
+ }
+ }
+
+ dh = abs(nb-nt);
+ dv = abs(nr-nl);
+ int nbh = Max(nb,nt);
+ int nbv = Max(nr,nl);
+ int addh = 0;
+ int addv = 0;
+
+ if (dh>dv) {
+ addv = (dh-dv)/2;
+ nbv = nbv + addv;
+ }
+ else { // dv>=dh
+ addh = (dv-dh)/2;
+ nbh = nbh + addh;
+ }
+
+ int dl,dr;
+ if (OldVersion) {
+ // add some params to right and left after the first param
+ // insert to right
+ dr = nbv - nr;
+ // insert to left
+ dl = nbv - nl;
+ }
+
+ int nnn = Min(nr,nl);
+
+ int nbNodes = 0;
+ int nbFaces = 0;
+ if (OldVersion) {
+ // step1: create faces for left domain
+ if (dl>0) {
+ nbNodes += dl*(nl-1);
+ nbFaces += dl*(nl-1);
+ }
+ // step2: create faces for right domain
+ if (dr>0) {
+ nbNodes += dr*(nr-1);
+ nbFaces += dr*(nr-1);
+ }
+ // step3: create faces for central domain
+ nbNodes += (nb-2)*(nnn-1) + (nbv-nnn-1)*(nb-2);
+ nbFaces += (nb-1)*(nbv-1);
+ }
+ else { // New version (!OldVersion)
+ nbNodes += (nnn-2)*(nb-2);
+ nbFaces += (nnn-2)*(nb-1);
+ int drl = abs(nr-nl);
+ nbNodes += drl*(nb-1) + addv*nb;
+ nbFaces += (drl+addv)*(nb-1) + (nt-1);
+ } // end new version implementation
+
+ std::vector<int> aVec(SMDSEntity_Last);
+ for (int i=SMDSEntity_Node; i<SMDSEntity_Last; i++) aVec[i] = 0;
+ if (IsQuadratic) {
+ aVec[SMDSEntity_Quad_Quadrangle] = nbFaces;
+ aVec[SMDSEntity_Node] = nbNodes + nbFaces*4;
+ if (aNbNodes.size()==5) {
+ aVec[SMDSEntity_Quad_Triangle] = aNbNodes[3] - 1;
+ aVec[SMDSEntity_Quad_Quadrangle] = nbFaces - aNbNodes[3] + 1;
+ }
+ }
+ else {
+ aVec[SMDSEntity_Node] = nbNodes;
+ aVec[SMDSEntity_Quadrangle] = nbFaces;
+ if (aNbNodes.size()==5) {
+ aVec[SMDSEntity_Triangle] = aNbNodes[3] - 1;
+ aVec[SMDSEntity_Quadrangle] = nbFaces - aNbNodes[3] + 1;
+ }
+ }
+ SMESH_subMesh * sm = aMesh.GetSubMesh(aShape);
+ aResMap.insert(std::make_pair(sm,aVec));
+
+ return true;
+}
+
+//=============================================================================
+/*! Split quadrangle in to 2 triangles by smallest diagonal
+ *
+ */
+//=============================================================================
+
+void StdMeshers_Quadrangle_2D::splitQuadFace(SMESHDS_Mesh * theMeshDS,
+ int theFaceID,
+ const SMDS_MeshNode* theNode1,
+ const SMDS_MeshNode* theNode2,
+ const SMDS_MeshNode* theNode3,
+ const SMDS_MeshNode* theNode4)
+{
+ SMDS_MeshFace* face;
+ if ( SMESH_TNodeXYZ( theNode1 ).SquareDistance( theNode3 ) >
+ SMESH_TNodeXYZ( theNode2 ).SquareDistance( theNode4 ) )
+ {
+ face = myHelper->AddFace(theNode2, theNode4 , theNode1);
+ if (face) theMeshDS->SetMeshElementOnShape(face, theFaceID);
+ face = myHelper->AddFace(theNode2, theNode3, theNode4);
+ if (face) theMeshDS->SetMeshElementOnShape(face, theFaceID);
+ }
+ else
+ {
+ face = myHelper->AddFace(theNode1, theNode2 ,theNode3);
+ if (face) theMeshDS->SetMeshElementOnShape(face, theFaceID);
+ face = myHelper->AddFace(theNode1, theNode3, theNode4);
+ if (face) theMeshDS->SetMeshElementOnShape(face, theFaceID);
+ }
+}
+
+namespace
+{
+ enum uvPos { UV_A0, UV_A1, UV_A2, UV_A3, UV_B, UV_R, UV_T, UV_L, UV_SIZE };
+
+ inline SMDS_MeshNode* makeNode( UVPtStruct & uvPt,
+ const double y,
+ FaceQuadStruct::Ptr& quad,
+ const gp_UV* UVs,
+ SMESH_MesherHelper* helper,
+ Handle(Geom_Surface) S)
+ {
+ const vector<UVPtStruct>& uv_eb = quad->side[QUAD_BOTTOM_SIDE].GetUVPtStruct();
+ const vector<UVPtStruct>& uv_et = quad->side[QUAD_TOP_SIDE ].GetUVPtStruct();
+ double rBot = ( uv_eb.size() - 1 ) * uvPt.normParam;
+ double rTop = ( uv_et.size() - 1 ) * uvPt.normParam;
+ int iBot = int( rBot );
+ int iTop = int( rTop );
+ double xBot = uv_eb[ iBot ].normParam + ( rBot - iBot ) * ( uv_eb[ iBot+1 ].normParam - uv_eb[ iBot ].normParam );
+ double xTop = uv_et[ iTop ].normParam + ( rTop - iTop ) * ( uv_et[ iTop+1 ].normParam - uv_et[ iTop ].normParam );
+ double x = xBot + y * ( xTop - xBot );
+
+ gp_UV uv = calcUV(/*x,y=*/x, y,
+ /*a0,...=*/UVs[UV_A0], UVs[UV_A1], UVs[UV_A2], UVs[UV_A3],
+ /*p0=*/quad->side[QUAD_BOTTOM_SIDE].grid->Value2d( x ).XY(),
+ /*p1=*/UVs[ UV_R ],
+ /*p2=*/quad->side[QUAD_TOP_SIDE ].grid->Value2d( x ).XY(),
+ /*p3=*/UVs[ UV_L ]);
+ gp_Pnt P = S->Value( uv.X(), uv.Y() );
+ uvPt.u = uv.X();
+ uvPt.v = uv.Y();
+ return helper->AddNode(P.X(), P.Y(), P.Z(), 0, uv.X(), uv.Y() );
+ }
+
+ void reduce42( const vector<UVPtStruct>& curr_base,
+ vector<UVPtStruct>& next_base,
+ const int j,
+ int & next_base_len,
+ FaceQuadStruct::Ptr& quad,
+ gp_UV* UVs,
+ const double y,
+ SMESH_MesherHelper* helper,
+ Handle(Geom_Surface)& S)
+ {
+ // add one "HH": nodes a,b,c,d,e and faces 1,2,3,4,5,6
+ //
+ // .-----a-----b i + 1
+ // |\ 5 | 6 /|
+ // | \ | / |
+ // | c--d--e |
+ // |1 |2 |3 |4 |
+ // | | | | |
+ // .--.--.--.--. i
+ //
+ // j j+2 j+4
+
+ // a (i + 1, j + 2)
+ const SMDS_MeshNode*& Na = next_base[ ++next_base_len ].node;
+ if ( !Na )
+ Na = makeNode( next_base[ next_base_len ], y, quad, UVs, helper, S );
+
+ // b (i + 1, j + 4)
+ const SMDS_MeshNode*& Nb = next_base[ ++next_base_len ].node;
+ if ( !Nb )
+ Nb = makeNode( next_base[ next_base_len ], y, quad, UVs, helper, S );
+
+ // c
+ double u = (curr_base[j + 2].u + next_base[next_base_len - 2].u) / 2.0;
+ double v = (curr_base[j + 2].v + next_base[next_base_len - 2].v) / 2.0;
+ gp_Pnt P = S->Value(u,v);
+ SMDS_MeshNode* Nc = helper->AddNode(P.X(), P.Y(), P.Z(), 0, u, v);
+
+ // d
+ u = (curr_base[j + 2].u + next_base[next_base_len - 1].u) / 2.0;
+ v = (curr_base[j + 2].v + next_base[next_base_len - 1].v) / 2.0;
+ P = S->Value(u,v);
+ SMDS_MeshNode* Nd = helper->AddNode(P.X(), P.Y(), P.Z(), 0, u, v);
+
+ // e
+ u = (curr_base[j + 2].u + next_base[next_base_len].u) / 2.0;
+ v = (curr_base[j + 2].v + next_base[next_base_len].v) / 2.0;
+ P = S->Value(u,v);
+ SMDS_MeshNode* Ne = helper->AddNode(P.X(), P.Y(), P.Z(), 0, u, v);
+
+ // Faces
+ helper->AddFace(curr_base[j + 0].node,
+ curr_base[j + 1].node, Nc,
+ next_base[next_base_len - 2].node);
+
+ helper->AddFace(curr_base[j + 1].node,
+ curr_base[j + 2].node, Nd, Nc);
+
+ helper->AddFace(curr_base[j + 2].node,
+ curr_base[j + 3].node, Ne, Nd);
+
+ helper->AddFace(curr_base[j + 3].node,
+ curr_base[j + 4].node, Nb, Ne);
+
+ helper->AddFace(Nc, Nd, Na, next_base[next_base_len - 2].node);
+
+ helper->AddFace(Nd, Ne, Nb, Na);
+ }
+
+ void reduce31( const vector<UVPtStruct>& curr_base,
+ vector<UVPtStruct>& next_base,
+ const int j,
+ int & next_base_len,
+ FaceQuadStruct::Ptr& quad,
+ gp_UV* UVs,
+ const double y,
+ SMESH_MesherHelper* helper,
+ Handle(Geom_Surface)& S)
+ {
+ // add one "H": nodes b,c,e and faces 1,2,4,5
+ //
+ // .---------b i + 1
+ // |\ 5 /|
+ // | \ / |
+ // | c---e |
+ // |1 |2 |4 |
+ // | | | |
+ // .--.---.--. i
+ //
+ // j j+1 j+2 j+3
+
+ // b (i + 1, j + 3)
+ const SMDS_MeshNode*& Nb = next_base[ ++next_base_len ].node;
+ if ( !Nb )
+ Nb = makeNode( next_base[ next_base_len ], y, quad, UVs, helper, S );
+
+ // c and e
+ double u1 = (curr_base[ j ].u + next_base[ next_base_len-1 ].u ) / 2.0;
+ double u2 = (curr_base[ j+3 ].u + next_base[ next_base_len ].u ) / 2.0;
+ double u3 = (u2 - u1) / 3.0;
+ //
+ double v1 = (curr_base[ j ].v + next_base[ next_base_len-1 ].v ) / 2.0;
+ double v2 = (curr_base[ j+3 ].v + next_base[ next_base_len ].v ) / 2.0;
+ double v3 = (v2 - v1) / 3.0;
+ // c
+ double u = u1 + u3;
+ double v = v1 + v3;
+ gp_Pnt P = S->Value(u,v);
+ SMDS_MeshNode* Nc = helper->AddNode( P.X(), P.Y(), P.Z(), 0, u, v );
+ // e
+ u = u1 + u3 + u3;
+ v = v1 + v3 + v3;
+ P = S->Value(u,v);
+ SMDS_MeshNode* Ne = helper->AddNode( P.X(), P.Y(), P.Z(), 0, u, v );
+
+ // Faces
+ // 1
+ helper->AddFace( curr_base[ j + 0 ].node,
+ curr_base[ j + 1 ].node,
+ Nc,
+ next_base[ next_base_len - 1 ].node);
+ // 2
+ helper->AddFace( curr_base[ j + 1 ].node,
+ curr_base[ j + 2 ].node, Ne, Nc);
+ // 4
+ helper->AddFace( curr_base[ j + 2 ].node,
+ curr_base[ j + 3 ].node, Nb, Ne);
+ // 5
+ helper->AddFace(Nc, Ne, Nb,
+ next_base[ next_base_len - 1 ].node);
+ }
+
+ typedef void (* PReduceFunction) ( const vector<UVPtStruct>& curr_base,
+ vector<UVPtStruct>& next_base,
+ const int j,
+ int & next_base_len,
+ FaceQuadStruct::Ptr & quad,
+ gp_UV* UVs,
+ const double y,
+ SMESH_MesherHelper* helper,
+ Handle(Geom_Surface)& S);
+
+} // namespace
+
+//=======================================================================
+/*!
+ * Implementation of Reduced algorithm (meshing with quadrangles only)
+ */
+//=======================================================================
+
+bool StdMeshers_Quadrangle_2D::computeReduced (SMESH_Mesh & aMesh,
+ const TopoDS_Face& aFace,
+ FaceQuadStruct::Ptr quad)
+{
+ SMESHDS_Mesh * meshDS = aMesh.GetMeshDS();
+ Handle(Geom_Surface) S = BRep_Tool::Surface(aFace);
+ int i,j,geomFaceID = meshDS->ShapeToIndex(aFace);
+
+ int nb = quad->side[0].NbPoints(); // bottom
+ int nr = quad->side[1].NbPoints(); // right
+ int nt = quad->side[2].NbPoints(); // top
+ int nl = quad->side[3].NbPoints(); // left
+
+ // Simple Reduce 10->8->6->4 (3 steps) Multiple Reduce 10->4 (1 step)
+ //
+ // .-----.-----.-----.-----. .-----.-----.-----.-----.
+ // | / \ | / \ | | / \ | / \ |
+ // | / .--.--. \ | | / \ | / \ |
+ // | / / | \ \ | | / .----.----. \ |
+ // .---.---.---.---.---.---. | / / \ | / \ \ |
+ // | / / \ | / \ \ | | / / \ | / \ \ |
+ // | / / .-.-. \ \ | | / / .---.---. \ \ |
+ // | / / / | \ \ \ | | / / / \ | / \ \ \ |
+ // .--.--.--.--.--.--.--.--. | / / / \ | / \ \ \ |
+ // | / / / \ | / \ \ \ | | / / / .-.-. \ \ \ |
+ // | / / / .-.-. \ \ \ | | / / / / | \ \ \ \ |
+ // | / / / / | \ \ \ \ | | / / / / | \ \ \ \ |
+ // .-.-.-.--.--.--.--.-.-.-. .-.-.-.--.--.--.--.-.-.-.
+
+ bool MultipleReduce = false;
+ {
+ int nb1 = nb;
+ int nr1 = nr;
+ int nt1 = nt;
+
+ if (nr == nl) {
+ if (nb < nt) {
+ nt1 = nb;
+ nb1 = nt;
+ }
+ }
+ else if (nb == nt) {
+ nr1 = nb; // and == nt
+ if (nl < nr) {
+ nt1 = nl;
+ nb1 = nr;
+ }
+ else {
+ nt1 = nr;
+ nb1 = nl;
+ }
+ }
+ else {
+ return false;
+ }
+
+ // number of rows and columns
+ int nrows = nr1 - 1;
+ int ncol_top = nt1 - 1;
+ int ncol_bot = nb1 - 1;
+ // number of rows needed to reduce ncol_bot to ncol_top using simple 3->1 "tree" (see below)
+ int nrows_tree31 =
+ int( ceil( log( double(ncol_bot) / ncol_top) / log( 3.))); // = log x base 3
+ if ( nrows < nrows_tree31 )
+ {
+ MultipleReduce = true;
+ error( COMPERR_WARNING,
+ SMESH_Comment("To use 'Reduced' transition, "
+ "number of face rows should be at least ")
+ << nrows_tree31 << ". Actual number of face rows is " << nrows << ". "
+ "'Quadrangle preference (reversed)' transion has been used.");
+ }
+ }
+
+ if (MultipleReduce) { // == computeQuadPref QUAD_QUADRANGLE_PREF_REVERSED
+ //==================================================
+ int dh = abs(nb-nt);
+ int dv = abs(nr-nl);
+
+ if (dh >= dv) {
+ if (nt > nb) {
+ // it is a base case => not shift quad but may be replacement is need
+ shiftQuad(quad,0);
+ }
+ else {
+ // we have to shift quad on 2
+ shiftQuad(quad,2);
+ }
+ }
+ else {
+ if (nr > nl) {
+ // we have to shift quad on 1
+ shiftQuad(quad,1);
+ }
+ else {
+ // we have to shift quad on 3
+ shiftQuad(quad,3);
+ }
+ }
+
+ nb = quad->side[0].NbPoints();
+ nr = quad->side[1].NbPoints();
+ nt = quad->side[2].NbPoints();
+ nl = quad->side[3].NbPoints();
+ dh = abs(nb-nt);
+ dv = abs(nr-nl);
+ int nbh = Max(nb,nt);
+ int nbv = Max(nr,nl);
+ int addh = 0;
+ int addv = 0;
+
+ if (dh>dv) {
+ addv = (dh-dv)/2;
+ nbv = nbv + addv;
+ }
+ else { // dv>=dh
+ addh = (dv-dh)/2;
+ nbh = nbh + addh;
+ }
+
+ const vector<UVPtStruct>& uv_eb = quad->side[0].GetUVPtStruct(true,0);
+ const vector<UVPtStruct>& uv_er = quad->side[1].GetUVPtStruct(false,1);
+ const vector<UVPtStruct>& uv_et = quad->side[2].GetUVPtStruct(true,1);
+ const vector<UVPtStruct>& uv_el = quad->side[3].GetUVPtStruct(false,0);
+
+ if (uv_eb.size() != nb || uv_er.size() != nr || uv_et.size() != nt || uv_el.size() != nl)
+ return error(COMPERR_BAD_INPUT_MESH);
+
+ // arrays for normalized params
+ TColStd_SequenceOfReal npb, npr, npt, npl;
+ for (j = 0; j < nb; j++) {
+ npb.Append(uv_eb[j].normParam);
+ }
+ for (i = 0; i < nr; i++) {
+ npr.Append(uv_er[i].normParam);
+ }
+ for (j = 0; j < nt; j++) {
+ npt.Append(uv_et[j].normParam);
+ }
+ for (i = 0; i < nl; i++) {
+ npl.Append(uv_el[i].normParam);
+ }
+
+ int dl,dr;
+ // orientation of face and 3 main domain for future faces
+ // 0 top 1
+ // 1------------1
+ // | | | |
+ // | | | |
+ // | L | | R |
+ // left | | | | rigth
+ // | / \ |
+ // | / C \ |
+ // |/ \|
+ // 0------------0
+ // 0 bottom 1
+
+ // add some params to right and left after the first param
+ // insert to right
+ dr = nbv - nr;
+ double dpr = (npr.Value(2) - npr.Value(1))/(dr+1);
+ for (i=1; i<=dr; i++) {
+ npr.InsertAfter(1,npr.Value(2)-dpr);
+ }
+ // insert to left
+ dl = nbv - nl;
+ dpr = (npl.Value(2) - npl.Value(1))/(dl+1);
+ for (i=1; i<=dl; i++) {
+ npl.InsertAfter(1,npl.Value(2)-dpr);
+ }
+
+ gp_XY a0 (uv_eb.front().u, uv_eb.front().v);
+ gp_XY a1 (uv_eb.back().u, uv_eb.back().v);
+ gp_XY a2 (uv_et.back().u, uv_et.back().v);
+ gp_XY a3 (uv_et.front().u, uv_et.front().v);
+
+ int nnn = Min(nr,nl);
+ // auxilary sequence of XY for creation of nodes
+ // in the bottom part of central domain
+ // it's length must be == nbv-nnn-1
+ TColgp_SequenceOfXY UVL;
+ TColgp_SequenceOfXY UVR;
+ //==================================================
+
+ // step1: create faces for left domain
+ StdMeshers_Array2OfNode NodesL(1,dl+1,1,nl);
+ // add left nodes
+ for (j=1; j<=nl; j++)
+ NodesL.SetValue(1,j,uv_el[j-1].node);
+ if (dl>0) {
+ // add top nodes
+ for (i=1; i<=dl; i++)
+ NodesL.SetValue(i+1,nl,uv_et[i].node);
+ // create and add needed nodes
+ TColgp_SequenceOfXY UVtmp;
+ for (i=1; i<=dl; i++) {
+ double x0 = npt.Value(i+1);
+ double x1 = x0;
+ // diagonal node
+ double y0 = npl.Value(i+1);
+ double y1 = npr.Value(i+1);
+ gp_UV UV = calcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
+ gp_Pnt P = S->Value(UV.X(),UV.Y());
+ SMDS_MeshNode * N = meshDS->AddNode(P.X(), P.Y(), P.Z());
+ meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
+ NodesL.SetValue(i+1,1,N);
+ if (UVL.Length()<nbv-nnn-1) UVL.Append(UV);
+ // internal nodes
+ for (j=2; j<nl; j++) {
+ double y0 = npl.Value(dl+j);
+ double y1 = npr.Value(dl+j);
+ gp_UV UV = calcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
+ gp_Pnt P = S->Value(UV.X(),UV.Y());
+ SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
+ meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
+ NodesL.SetValue(i+1,j,N);
+ if (i==dl) UVtmp.Append(UV);
+ }
+ }
+ for (i=1; i<=UVtmp.Length() && UVL.Length()<nbv-nnn-1; i++) {
+ UVL.Append(UVtmp.Value(i));
+ }
+ // create faces
+ for (i=1; i<=dl; i++) {
+ for (j=1; j<nl; j++) {
+ SMDS_MeshFace* F =
+ myHelper->AddFace(NodesL.Value(i,j), NodesL.Value(i+1,j),
+ NodesL.Value(i+1,j+1), NodesL.Value(i,j+1));
+ if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
+ }
+ }
+ }
+ else {
+ // fill UVL using c2d
+ for (i=1; i<npl.Length() && UVL.Length()<nbv-nnn-1; i++) {
+ UVL.Append(gp_UV (uv_el[i].u, uv_el[i].v));
+ }
+ }
+
+ // step2: create faces for right domain
+ StdMeshers_Array2OfNode NodesR(1,dr+1,1,nr);
+ // add right nodes
+ for (j=1; j<=nr; j++)
+ NodesR.SetValue(1,j,uv_er[nr-j].node);
+ if (dr>0) {
+ // add top nodes
+ for (i=1; i<=dr; i++)
+ NodesR.SetValue(i+1,1,uv_et[nt-1-i].node);
+ // create and add needed nodes
+ TColgp_SequenceOfXY UVtmp;
+ for (i=1; i<=dr; i++) {
+ double x0 = npt.Value(nt-i);
+ double x1 = x0;
+ // diagonal node
+ double y0 = npl.Value(i+1);
+ double y1 = npr.Value(i+1);
+ gp_UV UV = calcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
+ gp_Pnt P = S->Value(UV.X(),UV.Y());
+ SMDS_MeshNode * N = meshDS->AddNode(P.X(), P.Y(), P.Z());
+ meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
+ NodesR.SetValue(i+1,nr,N);
+ if (UVR.Length()<nbv-nnn-1) UVR.Append(UV);
+ // internal nodes
+ for (j=2; j<nr; j++) {
+ double y0 = npl.Value(nbv-j+1);
+ double y1 = npr.Value(nbv-j+1);
+ gp_UV UV = calcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
+ gp_Pnt P = S->Value(UV.X(),UV.Y());
+ SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
+ meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
+ NodesR.SetValue(i+1,j,N);
+ if (i==dr) UVtmp.Prepend(UV);
+ }
+ }
+ for (i=1; i<=UVtmp.Length() && UVR.Length()<nbv-nnn-1; i++) {
+ UVR.Append(UVtmp.Value(i));
+ }
+ // create faces
+ for (i=1; i<=dr; i++) {
+ for (j=1; j<nr; j++) {
+ SMDS_MeshFace* F =
+ myHelper->AddFace(NodesR.Value(i,j), NodesR.Value(i+1,j),
+ NodesR.Value(i+1,j+1), NodesR.Value(i,j+1));
+ if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
+ }
+ }
+ }
+ else {
+ // fill UVR using c2d
+ for (i=1; i<npr.Length() && UVR.Length()<nbv-nnn-1; i++) {
+ UVR.Append(gp_UV(uv_er[i].u, uv_er[i].v));
+ }
+ }
+
+ // step3: create faces for central domain
+ StdMeshers_Array2OfNode NodesC(1,nb,1,nbv);
+ // add first line using NodesL
+ for (i=1; i<=dl+1; i++)
+ NodesC.SetValue(1,i,NodesL(i,1));
+ for (i=2; i<=nl; i++)
+ NodesC.SetValue(1,dl+i,NodesL(dl+1,i));
+ // add last line using NodesR
+ for (i=1; i<=dr+1; i++)
+ NodesC.SetValue(nb,i,NodesR(i,nr));
+ for (i=1; i<nr; i++)
+ NodesC.SetValue(nb,dr+i+1,NodesR(dr+1,nr-i));
+ // add top nodes (last columns)
+ for (i=dl+2; i<nbh-dr; i++)
+ NodesC.SetValue(i-dl,nbv,uv_et[i-1].node);
+ // add bottom nodes (first columns)
+ for (i=2; i<nb; i++)
+ NodesC.SetValue(i,1,uv_eb[i-1].node);
+
+ // create and add needed nodes
+ // add linear layers
+ for (i=2; i<nb; i++) {
+ double x0 = npt.Value(dl+i);
+ double x1 = x0;
+ for (j=1; j<nnn; j++) {
+ double y0 = npl.Value(nbv-nnn+j);
+ double y1 = npr.Value(nbv-nnn+j);
+ gp_UV UV = calcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
+ gp_Pnt P = S->Value(UV.X(),UV.Y());
+ SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
+ meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
+ NodesC.SetValue(i,nbv-nnn+j,N);
+ }
+ }
+ // add diagonal layers
+ for (i=1; i<nbv-nnn; i++) {
+ double du = UVR.Value(i).X() - UVL.Value(i).X();
+ double dv = UVR.Value(i).Y() - UVL.Value(i).Y();
+ for (j=2; j<nb; j++) {
+ double u = UVL.Value(i).X() + du*npb.Value(j);
+ double v = UVL.Value(i).Y() + dv*npb.Value(j);
+ gp_Pnt P = S->Value(u,v);
+ SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
+ meshDS->SetNodeOnFace(N, geomFaceID, u, v);
+ NodesC.SetValue(j,i+1,N);
+ }
+ }
+ // create faces
+ for (i=1; i<nb; i++) {
+ for (j=1; j<nbv; j++) {
+ SMDS_MeshFace* F =
+ myHelper->AddFace(NodesC.Value(i,j), NodesC.Value(i+1,j),
+ NodesC.Value(i+1,j+1), NodesC.Value(i,j+1));
+ if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
+ }
+ }
+ } // end Multiple Reduce implementation
+ else { // Simple Reduce (!MultipleReduce)
+ //=========================================================
+ if (nr == nl) {
+ if (nt < nb) {
+ // it is a base case => not shift quad
+ //shiftQuad(quad,0,true);
+ }
+ else {
+ // we have to shift quad on 2
+ shiftQuad(quad,2);
+ }
+ }
+ else {
+ if (nl > nr) {
+ // we have to shift quad on 1
+ shiftQuad(quad,1);
+ }
+ else {
+ // we have to shift quad on 3
+ shiftQuad(quad,3);
+ }
+ }
+
+ nb = quad->side[0].NbPoints();
+ nr = quad->side[1].NbPoints();
+ nt = quad->side[2].NbPoints();
+ nl = quad->side[3].NbPoints();
+
+ // number of rows and columns
+ int nrows = nr - 1; // and also == nl - 1
+ int ncol_top = nt - 1;
+ int ncol_bot = nb - 1;
+ int npair_top = ncol_top / 2;
+ // maximum number of bottom elements for "linear" simple reduce 4->2
+ int max_lin42 = ncol_top + npair_top * 2 * nrows;
+ // maximum number of bottom elements for "linear" simple reduce 3->1
+ int max_lin31 = ncol_top + ncol_top * 2 * nrows;
+ // maximum number of bottom elements for "tree" simple reduce 4->2
+ int max_tree42 = 0;
+ // number of rows needed to reduce ncol_bot to ncol_top using simple 4->2 "tree"
+ int nrows_tree42 = int( log( (double)(ncol_bot / ncol_top) )/log((double)2) ); // needed to avoid overflow at pow(2) while computing max_tree42
+ if (nrows_tree42 < nrows) {
+ max_tree42 = npair_top * pow(2.0, nrows + 1);
+ if ( ncol_top > npair_top * 2 ) {
+ int delta = ncol_bot - max_tree42;
+ for (int irow = 1; irow < nrows; irow++) {
+ int nfour = delta / 4;
+ delta -= nfour * 2;
+ }
+ if (delta <= (ncol_top - npair_top * 2))
+ max_tree42 = ncol_bot;
+ }
+ }
+ // maximum number of bottom elements for "tree" simple reduce 3->1
+ //int max_tree31 = ncol_top * pow(3.0, nrows);
+ bool is_lin_31 = false;
+ bool is_lin_42 = false;
+ bool is_tree_31 = false;
+ bool is_tree_42 = false;
+ int max_lin = max_lin42;
+ if (ncol_bot > max_lin42) {
+ if (ncol_bot <= max_lin31) {
+ is_lin_31 = true;
+ max_lin = max_lin31;
+ }
+ }
+ else {
+ // if ncol_bot is a 3*n or not 2*n
+ if ((ncol_bot/3)*3 == ncol_bot || (ncol_bot/2)*2 != ncol_bot) {
+ is_lin_31 = true;
+ max_lin = max_lin31;
+ }
+ else {
+ is_lin_42 = true;
+ }
+ }
+ if (ncol_bot > max_lin) { // not "linear"
+ is_tree_31 = (ncol_bot > max_tree42);
+ if (ncol_bot <= max_tree42) {
+ if ((ncol_bot/3)*3 == ncol_bot || (ncol_bot/2)*2 != ncol_bot) {
+ is_tree_31 = true;
+ }
+ else {
+ is_tree_42 = true;
+ }
+ }
+ }
+
+ const vector<UVPtStruct>& uv_eb = quad->side[0].GetUVPtStruct(true,0);
+ const vector<UVPtStruct>& uv_er = quad->side[1].GetUVPtStruct(false,1);
+ const vector<UVPtStruct>& uv_et = quad->side[2].GetUVPtStruct(true,1);
+ const vector<UVPtStruct>& uv_el = quad->side[3].GetUVPtStruct(false,0);
+
+ if (uv_eb.size() != nb || uv_er.size() != nr || uv_et.size() != nt || uv_el.size() != nl)
+ return error(COMPERR_BAD_INPUT_MESH);
+
+ myHelper->SetElementsOnShape( true );
+
+ gp_UV uv[ UV_SIZE ];
+ uv[ UV_A0 ].SetCoord( uv_eb.front().u, uv_eb.front().v);
+ uv[ UV_A1 ].SetCoord( uv_eb.back().u, uv_eb.back().v );
+ uv[ UV_A2 ].SetCoord( uv_et.back().u, uv_et.back().v );
+ uv[ UV_A3 ].SetCoord( uv_et.front().u, uv_et.front().v);
+
+ vector<UVPtStruct> curr_base = uv_eb, next_base;
+
+ UVPtStruct nullUVPtStruct; nullUVPtStruct.node = 0;
+
+ int curr_base_len = nb;
+ int next_base_len = 0;
+
+ if ( true )
+ { // ------------------------------------------------------------------
+ // New algorithm implemented by request of IPAL22856
+ // "2D quadrangle mesher of reduced type works wrong"
+ // http://bugtracker.opencascade.com/show_bug.cgi?id=22856
+
+ // the algorithm is following: all reduces are centred in horizontal
+ // direction and are distributed among all rows
+
+ if (ncol_bot > max_tree42) {
+ is_lin_31 = true;
+ }
+ else {
+ if ((ncol_top/3)*3 == ncol_top ) {
+ is_lin_31 = true;
+ }
+ else {
+ is_lin_42 = true;
+ }
+ }
+
+ const int col_top_size = is_lin_42 ? 2 : 1;
+ const int col_base_size = is_lin_42 ? 4 : 3;
+
+ // Compute nb of "columns" (like in "linear" simple reducing) in all rows
+
+ vector<int> nb_col_by_row;
+
+ int delta_all = nb - nt;
+ int delta_one_col = nrows * 2;
+ int nb_col = delta_all / delta_one_col;
+ int remainder = delta_all - nb_col * delta_one_col;
+ if (remainder > 0) {
+ nb_col++;
+ }
+ if ( nb_col * col_top_size >= nt ) // == "tree" reducing situation
+ {
+ // top row is full (all elements reduced), add "columns" one by one
+ // in rows below until all bottom elements are reduced
+ nb_col = ( nt - 1 ) / col_top_size;
+ nb_col_by_row.resize( nrows, nb_col );
+ int nbrows_not_full = nrows - 1;
+ int cur_top_size = nt - 1;
+ remainder = delta_all - nb_col * delta_one_col;
+ while ( remainder > 0 )
+ {
+ delta_one_col = nbrows_not_full * 2;
+ int nb_col_add = remainder / delta_one_col;
+ cur_top_size += 2 * nb_col_by_row[ nbrows_not_full ];
+ int nb_col_free = cur_top_size / col_top_size - nb_col_by_row[ nbrows_not_full-1 ];
+ if ( nb_col_add > nb_col_free )
+ nb_col_add = nb_col_free;
+ for ( int irow = 0; irow < nbrows_not_full; ++irow )
+ nb_col_by_row[ irow ] += nb_col_add;
+ nbrows_not_full --;
+ remainder -= nb_col_add * delta_one_col;
+ }
+ }
+ else // == "linear" reducing situation
+ {
+ nb_col_by_row.resize( nrows, nb_col );
+ if (remainder > 0)
+ for ( int irow = remainder / 2; irow < nrows; ++irow )
+ nb_col_by_row[ irow ]--;
+ }
+
+ // Make elements
+
+ PReduceFunction reduceFunction = & ( is_lin_42 ? reduce42 : reduce31 );
+
+ const int reduce_grp_size = is_lin_42 ? 4 : 3;
+
+ for (i = 1; i < nr; i++) // layer by layer
+ {
+ nb_col = nb_col_by_row[ i-1 ];
+ int nb_next = curr_base_len - nb_col * 2;
+ if (nb_next < nt) nb_next = nt;
+
+ const double y = uv_el[ i ].normParam;
+
+ if ( i + 1 == nr ) // top
+ {
+ next_base = uv_et;
+ }
+ else
+ {
+ next_base.clear();
+ next_base.resize( nb_next, nullUVPtStruct );
+ next_base.front() = uv_el[i];
+ next_base.back() = uv_er[i];
+
+ // compute normalized param u
+ double du = 1. / ( nb_next - 1 );
+ next_base[0].normParam = 0.;
+ for ( j = 1; j < nb_next; ++j )
+ next_base[j].normParam = next_base[j-1].normParam + du;
+ }
+ uv[ UV_L ].SetCoord( next_base.front().u, next_base.front().v );
+ uv[ UV_R ].SetCoord( next_base.back().u, next_base.back().v );
+
+ int free_left = ( curr_base_len - 1 - nb_col * col_base_size ) / 2;
+ int free_middle = curr_base_len - 1 - nb_col * col_base_size - 2 * free_left;
+
+ // not reduced left elements
+ for (j = 0; j < free_left; j++)
+ {
+ // f (i + 1, j + 1)
+ const SMDS_MeshNode*& Nf = next_base[++next_base_len].node;
+ if ( !Nf )
+ Nf = makeNode( next_base[ next_base_len ], y, quad, uv, myHelper, S );
+
+ myHelper->AddFace(curr_base[ j ].node,
+ curr_base[ j+1 ].node,
+ Nf,
+ next_base[ next_base_len-1 ].node);
+ }
+
+ for (int icol = 1; icol <= nb_col; icol++)
+ {
+ // add "H"
+ reduceFunction( curr_base, next_base, j, next_base_len, quad, uv, y, myHelper, S );
+
+ j += reduce_grp_size;
+
+ // elements in the middle of "columns" added for symmetry
+ if ( free_middle > 0 && ( nb_col % 2 == 0 ) && icol == nb_col / 2 )
+ {
+ for (int imiddle = 1; imiddle <= free_middle; imiddle++) {
+ // f (i + 1, j + imiddle)
+ const SMDS_MeshNode*& Nf = next_base[++next_base_len].node;
+ if ( !Nf )
+ Nf = makeNode( next_base[ next_base_len ], y, quad, uv, myHelper, S );
+
+ myHelper->AddFace(curr_base[ j-1+imiddle ].node,
+ curr_base[ j +imiddle ].node,
+ Nf,
+ next_base[ next_base_len-1 ].node);
+ }
+ j += free_middle;
+ }
+ }
+
+ // not reduced right elements
+ for (; j < curr_base_len-1; j++) {
+ // f (i + 1, j + 1)
+ const SMDS_MeshNode*& Nf = next_base[++next_base_len].node;
+ if ( !Nf )
+ Nf = makeNode( next_base[ next_base_len ], y, quad, uv, myHelper, S );
+
+ myHelper->AddFace(curr_base[ j ].node,
+ curr_base[ j+1 ].node,
+ Nf,
+ next_base[ next_base_len-1 ].node);
+ }
+
+ curr_base_len = next_base_len + 1;
+ next_base_len = 0;
+ curr_base.swap( next_base );
+ }
+
+ }
+ else if ( is_tree_42 || is_tree_31 )
+ {
+ // "tree" simple reduce "42": 2->4->8->16->32->...
+ //
+ // .-------------------------------.-------------------------------. nr
+ // | \ | / |
+ // | \ .---------------.---------------. / |
+ // | | | | |
+ // .---------------.---------------.---------------.---------------.
+ // | \ | / | \ | / |
+ // | \ .-------.-------. / | \ .-------.-------. / |
+ // | | | | | | | | |
+ // .-------.-------.-------.-------.-------.-------.-------.-------. i
+ // |\ | /|\ | /|\ | /|\ | /|
+ // | \.---.---./ | \.---.---./ | \.---.---./ | \.---.---./ |
+ // | | | | | | | | | | | | | | | | |
+ // .---.---.---.---.---.---.---.---.---.---.---.---.---.---.---.---.
+ // |\ | /|\ | /|\ | /|\ | /|\ | /|\ | /|\ | /|\ | /|
+ // | .-.-. | .-.-. | .-.-. | .-.-. | .-.-. | .-.-. | .-.-. | .-.-. |
+ // | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
+ // .-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-. 1
+ // 1 j nb
+
+ // "tree" simple reduce "31": 1->3->9->27->...
+ //
+ // .-----------------------------------------------------. nr
+ // | \ / |
+ // | .-----------------. |
+ // | | | |
+ // .-----------------.-----------------.-----------------.
+ // | \ / | \ / | \ / |
+ // | .-----. | .-----. | .-----. | i
+ // | | | | | | | | | |
+ // .-----.-----.-----.-----.-----.-----.-----.-----.-----.
+ // |\ /|\ /|\ /|\ /|\ /|\ /|\ /|\ /|\ /|
+ // | .-. | .-. | .-. | .-. | .-. | .-. | .-. | .-. | .-. |
+ // | | | | | | | | | | | | | | | | | | | | | | | | | | | |
+ // .-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-. 1
+ // 1 j nb
+
+ PReduceFunction reduceFunction = & ( is_tree_42 ? reduce42 : reduce31 );
+
+ const int reduce_grp_size = is_tree_42 ? 4 : 3;
+
+ for (i = 1; i < nr; i++) // layer by layer
+ {
+ // to stop reducing, if number of nodes reaches nt
+ int delta = curr_base_len - nt;
+
+ // to calculate normalized parameter, we must know number of points in next layer
+ int nb_reduce_groups = (curr_base_len - 1) / reduce_grp_size;
+ int nb_next = nb_reduce_groups * (reduce_grp_size-2) + (curr_base_len - nb_reduce_groups*reduce_grp_size);
+ if (nb_next < nt) nb_next = nt;
+
+ const double y = uv_el[ i ].normParam;
+
+ if ( i + 1 == nr ) // top
+ {
+ next_base = uv_et;
+ }
+ else
+ {
+ next_base.clear();
+ next_base.resize( nb_next, nullUVPtStruct );
+ next_base.front() = uv_el[i];
+ next_base.back() = uv_er[i];
+
+ // compute normalized param u
+ double du = 1. / ( nb_next - 1 );
+ next_base[0].normParam = 0.;
+ for ( j = 1; j < nb_next; ++j )
+ next_base[j].normParam = next_base[j-1].normParam + du;
+ }
+ uv[ UV_L ].SetCoord( next_base.front().u, next_base.front().v );
+ uv[ UV_R ].SetCoord( next_base.back().u, next_base.back().v );
+
+ for (j = 0; j+reduce_grp_size < curr_base_len && delta > 0; j+=reduce_grp_size, delta-=2)
+ {
+ reduceFunction( curr_base, next_base, j, next_base_len, quad, uv, y, myHelper, S );
+ }
+
+ // not reduced side elements (if any)
+ for (; j < curr_base_len-1; j++)
+ {
+ // f (i + 1, j + 1)
+ const SMDS_MeshNode*& Nf = next_base[++next_base_len].node;
+ if ( !Nf )
+ Nf = makeNode( next_base[ next_base_len ], y, quad, uv, myHelper, S );
+
+ myHelper->AddFace(curr_base[ j ].node,
+ curr_base[ j+1 ].node,
+ Nf,
+ next_base[ next_base_len-1 ].node);
+ }
+ curr_base_len = next_base_len + 1;
+ next_base_len = 0;
+ curr_base.swap( next_base );
+ }
+ } // end "tree" simple reduce
+
+ else if ( is_lin_42 || is_lin_31 ) {
+ // "linear" simple reduce "31": 2->6->10->14
+ //
+ // .-----------------------------.-----------------------------. nr
+ // | \ / | \ / |
+ // | .---------. | .---------. |
+ // | | | | | | |
+ // .---------.---------.---------.---------.---------.---------.
+ // | / \ / \ | / \ / \ |
+ // | / .-----. \ | / .-----. \ | i
+ // | / | | \ | / | | \ |
+ // .-----.-----.-----.-----.-----.-----.-----.-----.-----.-----.
+ // | / / \ / \ \ | / / \ / \ \ |
+ // | / / .-. \ \ | / / .-. \ \ |
+ // | / / / \ \ \ | / / / \ \ \ |
+ // .--.----.---.-----.---.-----.-.--.----.---.-----.---.-----.-. 1
+ // 1 j nb
+
+ // "linear" simple reduce "42": 4->8->12->16
+ //
+ // .---------------.---------------.---------------.---------------. nr
+ // | \ | / | \ | / |
+ // | \ .-------.-------. / | \ .-------.-------. / |
+ // | | | | | | | | |
+ // .-------.-------.-------.-------.-------.-------.-------.-------.
+ // | / \ | / \ | / \ | / \ |
+ // | / \.----.----./ \ | / \.----.----./ \ | i
+ // | / | | | \ | / | | | \ |
+ // .-----.----.----.----.----.-----.-----.----.----.----.----.-----.
+ // | / / \ | / \ \ | / / \ | / \ \ |
+ // | / / .-.-. \ \ | / / .-.-. \ \ |
+ // | / / / | \ \ \ | / / / | \ \ \ |
+ // .---.---.---.---.---.---.---.---.---.---.---.---.---.---.---.---. 1
+ // 1 j nb
+
+ // nt = 5, nb = 7, nr = 4
+ //int delta_all = 2;
+ //int delta_one_col = 6;
+ //int nb_col = 0;
+ //int remainder = 2;
+ //if (remainder > 0) nb_col++;
+ //nb_col = 1;
+ //int free_left = 1;
+ //free_left += 2;
+ //int free_middle = 4;
+
+ int delta_all = nb - nt;
+ int delta_one_col = (nr - 1) * 2;
+ int nb_col = delta_all / delta_one_col;
+ int remainder = delta_all - nb_col * delta_one_col;
+ if (remainder > 0) {
+ nb_col++;
+ }
+ const int col_top_size = is_lin_42 ? 2 : 1;
+ int free_left = ((nt - 1) - nb_col * col_top_size) / 2;
+ free_left += nr - 2;
+ int free_middle = (nr - 2) * 2;
+ if (remainder > 0 && nb_col == 1) {
+ int nb_rows_short_col = remainder / 2;
+ int nb_rows_thrown = (nr - 1) - nb_rows_short_col;
+ free_left -= nb_rows_thrown;
+ }
+
+ // nt = 5, nb = 17, nr = 4
+ //int delta_all = 12;
+ //int delta_one_col = 6;
+ //int nb_col = 2;
+ //int remainder = 0;
+ //int free_left = 2;
+ //int free_middle = 4;
+
+ PReduceFunction reduceFunction = & ( is_lin_42 ? reduce42 : reduce31 );
+
+ const int reduce_grp_size = is_lin_42 ? 4 : 3;
+
+ for (i = 1; i < nr; i++, free_middle -= 2, free_left -= 1) // layer by layer
+ {
+ // to calculate normalized parameter, we must know number of points in next layer
+ int nb_next = curr_base_len - nb_col * 2;
+ if (remainder > 0 && i > remainder / 2)
+ // take into account short "column"
+ nb_next += 2;
+ if (nb_next < nt) nb_next = nt;
+
+ const double y = uv_el[ i ].normParam;
+
+ if ( i + 1 == nr ) // top
+ {
+ next_base = uv_et;
+ }
+ else
+ {
+ next_base.clear();
+ next_base.resize( nb_next, nullUVPtStruct );
+ next_base.front() = uv_el[i];
+ next_base.back() = uv_er[i];
+
+ // compute normalized param u
+ double du = 1. / ( nb_next - 1 );
+ next_base[0].normParam = 0.;
+ for ( j = 1; j < nb_next; ++j )
+ next_base[j].normParam = next_base[j-1].normParam + du;
+ }
+ uv[ UV_L ].SetCoord( next_base.front().u, next_base.front().v );
+ uv[ UV_R ].SetCoord( next_base.back().u, next_base.back().v );
+
+ // not reduced left elements
+ for (j = 0; j < free_left; j++)
+ {
+ // f (i + 1, j + 1)
+ const SMDS_MeshNode*& Nf = next_base[++next_base_len].node;
+ if ( !Nf )
+ Nf = makeNode( next_base[ next_base_len ], y, quad, uv, myHelper, S );
+
+ myHelper->AddFace(curr_base[ j ].node,
+ curr_base[ j+1 ].node,
+ Nf,
+ next_base[ next_base_len-1 ].node);
+ }
+
+ for (int icol = 1; icol <= nb_col; icol++) {
+
+ if (remainder > 0 && icol == nb_col && i > remainder / 2)
+ // stop short "column"
+ break;
+
+ // add "H"
+ reduceFunction( curr_base, next_base, j, next_base_len, quad, uv, y, myHelper, S );
+
+ j += reduce_grp_size;
+
+ // not reduced middle elements
+ if (icol < nb_col) {
+ if (remainder > 0 && icol == nb_col - 1 && i > remainder / 2)
+ // pass middle elements before stopped short "column"
+ break;
+
+ int free_add = free_middle;
+ if (remainder > 0 && icol == nb_col - 1)
+ // next "column" is short
+ free_add -= (nr - 1) - (remainder / 2);
+
+ for (int imiddle = 1; imiddle <= free_add; imiddle++) {
+ // f (i + 1, j + imiddle)
+ const SMDS_MeshNode*& Nf = next_base[++next_base_len].node;
+ if ( !Nf )
+ Nf = makeNode( next_base[ next_base_len ], y, quad, uv, myHelper, S );
+
+ myHelper->AddFace(curr_base[ j-1+imiddle ].node,
+ curr_base[ j +imiddle ].node,
+ Nf,
+ next_base[ next_base_len-1 ].node);
+ }
+ j += free_add;
+ }
+ }
+
+ // not reduced right elements
+ for (; j < curr_base_len-1; j++) {
+ // f (i + 1, j + 1)
+ const SMDS_MeshNode*& Nf = next_base[++next_base_len].node;
+ if ( !Nf )
+ Nf = makeNode( next_base[ next_base_len ], y, quad, uv, myHelper, S );
+
+ myHelper->AddFace(curr_base[ j ].node,
+ curr_base[ j+1 ].node,
+ Nf,
+ next_base[ next_base_len-1 ].node);
+ }
+
+ curr_base_len = next_base_len + 1;
+ next_base_len = 0;
+ curr_base.swap( next_base );
+ }
+
+ } // end "linear" simple reduce
+
+ else {
+ return false;
+ }
+ } // end Simple Reduce implementation
+
+ bool isOk = true;
+ return isOk;
+}
+
+//================================================================================
+namespace // data for smoothing
+{
+ struct TSmoothNode;
+ // --------------------------------------------------------------------------------
+ /*!
+ * \brief Structure used to check validity of node position after smoothing.
+ * It holds two nodes connected to a smoothed node and belonging to
+ * one mesh face
+ */
+ struct TTriangle
+ {
+ TSmoothNode* _n1;
+ TSmoothNode* _n2;
+ TTriangle( TSmoothNode* n1=0, TSmoothNode* n2=0 ): _n1(n1), _n2(n2) {}
+
+ inline bool IsForward( gp_UV uv ) const;
+ };
+ // --------------------------------------------------------------------------------
+ /*!
+ * \brief Data of a smoothed node
+ */
+ struct TSmoothNode
+ {
+ gp_XY _uv;
+ gp_XYZ _xyz;
+ vector< TTriangle > _triangles; // if empty, then node is not movable
+ };
+ // --------------------------------------------------------------------------------
+ inline bool TTriangle::IsForward( gp_UV uv ) const
+ {
+ gp_Vec2d v1( uv, _n1->_uv ), v2( uv, _n2->_uv );
+ double d = v1 ^ v2;
+ return d > 1e-100;
+ }
+ //================================================================================
+ /*!
+ * \brief Returns area of a triangle
+ */
+ //================================================================================
+
+ double getArea( const gp_UV uv1, const gp_UV uv2, const gp_UV uv3 )
+ {
+ gp_XY v1 = uv1 - uv2, v2 = uv3 - uv2;
+ double a = v2 ^ v1;
+ return a;
+ }
+}
+
+//================================================================================
+/*!
+ * \brief Set UV of nodes on degenerated VERTEXes in the middle of degenerated EDGE
+ *
+ * WARNING: this method must be called AFTER retrieving UVPtStruct's from quad
+ */
+//================================================================================
+
+void StdMeshers_Quadrangle_2D::updateDegenUV(FaceQuadStruct::Ptr quad)
+{
+ if ( myNeedSmooth )
+
+ // Set UV of nodes on degenerated VERTEXes in the middle of degenerated EDGE
+ // --------------------------------------------------------------------------
+ for ( unsigned i = 0; i < quad->side.size(); ++i )
+ {
+ const vector<UVPtStruct>& uvVec = quad->side[i].GetUVPtStruct();
+
+ // find which end of the side is on degenerated shape
+ int degenInd = -1;
+ if ( myHelper->IsDegenShape( uvVec[0].node->getshapeId() ))
+ degenInd = 0;
+ else if ( myHelper->IsDegenShape( uvVec.back().node->getshapeId() ))
+ degenInd = uvVec.size() - 1;
+ else
+ continue;
+
+ // find another side sharing the degenerated shape
+ bool isPrev = ( degenInd == 0 );
+ if ( i >= QUAD_TOP_SIDE )
+ isPrev = !isPrev;
+ int i2 = ( isPrev ? ( i + 3 ) : ( i + 1 )) % 4;
+ const vector<UVPtStruct>& uvVec2 = quad->side[ i2 ].GetUVPtStruct();
+ int degenInd2 = -1;
+ if ( uvVec[ degenInd ].node == uvVec2.front().node )
+ degenInd2 = 0;
+ else if ( uvVec[ degenInd ].node == uvVec2.back().node )
+ degenInd2 = uvVec2.size() - 1;
+ else
+ throw SALOME_Exception( LOCALIZED( "Logical error" ));
+
+ // move UV in the middle
+ uvPtStruct& uv1 = const_cast<uvPtStruct&>( uvVec [ degenInd ]);
+ uvPtStruct& uv2 = const_cast<uvPtStruct&>( uvVec2[ degenInd2 ]);
+ uv1.u = uv2.u = 0.5 * ( uv1.u + uv2.u );
+ uv1.v = uv2.v = 0.5 * ( uv1.v + uv2.v );
+ }
+
+ else if ( quad->side.size() == 4 /*&& myQuadType == QUAD_STANDARD*/)
+
+ // Set number of nodes on a degenerated side to be same as on an opposite side
+ // ----------------------------------------------------------------------------
+ for ( unsigned i = 0; i < quad->side.size(); ++i )
+ {
+ StdMeshers_FaceSidePtr degSide = quad->side[i];
+ if ( !myHelper->IsDegenShape( degSide->EdgeID(0) ))
+ continue;
+ StdMeshers_FaceSidePtr oppSide = quad->side[( i+2 ) % quad->side.size() ];
+ if ( degSide->NbSegments() == oppSide->NbSegments() )
+ continue;
+
+ // make new side data
+ const vector<UVPtStruct>& uvVecDegOld = degSide->GetUVPtStruct();
+ const SMDS_MeshNode* n = uvVecDegOld[0].node;
+ Handle(Geom2d_Curve) c2d = degSide->Curve2d(0);
+ double f = degSide->FirstU(0), l = degSide->LastU(0);
+ gp_Pnt2d p1 = uvVecDegOld.front().UV();
+ gp_Pnt2d p2 = uvVecDegOld.back().UV();
+
+ quad->side[i] = StdMeshers_FaceSide::New( oppSide.get(), n, &p1, &p2, c2d, f, l );
+ }
+}
+
+//================================================================================
+/*!
+ * \brief Perform smoothing of 2D elements on a FACE with ignored degenerated EDGE
+ */
+//================================================================================
+
+void StdMeshers_Quadrangle_2D::smooth (FaceQuadStruct::Ptr quad)
+{
+ if ( !myNeedSmooth ) return;
+
+ // Get nodes to smooth
+
+ // TODO: do not smooth fixed nodes
+
+ typedef map< const SMDS_MeshNode*, TSmoothNode, TIDCompare > TNo2SmooNoMap;
+ TNo2SmooNoMap smooNoMap;
+
+ const TopoDS_Face& geomFace = TopoDS::Face( myHelper->GetSubShape() );
+ Handle(Geom_Surface) surface = BRep_Tool::Surface( geomFace );
+ double U1, U2, V1, V2;
+ surface->Bounds(U1, U2, V1, V2);
+ GeomAPI_ProjectPointOnSurf proj;
+ proj.Init( surface, U1, U2, V1, V2, BRep_Tool::Tolerance( geomFace ) );
+
+ SMESHDS_Mesh* meshDS = myHelper->GetMeshDS();
+ SMESHDS_SubMesh* fSubMesh = meshDS->MeshElements( geomFace );
+ SMDS_NodeIteratorPtr nIt = fSubMesh->GetNodes();
+ while ( nIt->more() ) // loop on nodes bound to a FACE
+ {
+ const SMDS_MeshNode* node = nIt->next();
+ TSmoothNode & sNode = smooNoMap[ node ];
+ sNode._uv = myHelper->GetNodeUV( geomFace, node );
+ sNode._xyz = SMESH_TNodeXYZ( node );
+
+ // set sNode._triangles
+ SMDS_ElemIteratorPtr fIt = node->GetInverseElementIterator( SMDSAbs_Face );
+ while ( fIt->more() )
+ {
+ const SMDS_MeshElement* face = fIt->next();
+ const int nbN = face->NbCornerNodes();
+ const int nInd = face->GetNodeIndex( node );
+ const int prevInd = myHelper->WrapIndex( nInd - 1, nbN );
+ const int nextInd = myHelper->WrapIndex( nInd + 1, nbN );
+ const SMDS_MeshNode* prevNode = face->GetNode( prevInd );
+ const SMDS_MeshNode* nextNode = face->GetNode( nextInd );
+ sNode._triangles.push_back( TTriangle( & smooNoMap[ prevNode ],
+ & smooNoMap[ nextNode ]));
+ }
+ }
+ // set _uv of smooth nodes on FACE boundary
+ for ( unsigned i = 0; i < quad->side.size(); ++i )
+ {
+ const vector<UVPtStruct>& uvVec = quad->side[i].GetUVPtStruct();
+ for ( unsigned j = 0; j < uvVec.size(); ++j )
+ {
+ TSmoothNode & sNode = smooNoMap[ uvVec[j].node ];
+ sNode._uv = uvVec[j].UV();
+ sNode._xyz = SMESH_TNodeXYZ( uvVec[j].node );
+ }
+ }
+
+ // define refernce orientation in 2D
+ TNo2SmooNoMap::iterator n2sn = smooNoMap.begin();
+ for ( ; n2sn != smooNoMap.end(); ++n2sn )
+ if ( !n2sn->second._triangles.empty() )
+ break;
+ if ( n2sn == smooNoMap.end() ) return;
+ const TSmoothNode & sampleNode = n2sn->second;
+ const bool refForward = ( sampleNode._triangles[0].IsForward( sampleNode._uv ));
+
+ // Smoothing
+
+ for ( int iLoop = 0; iLoop < 5; ++iLoop )
+ {
+ for ( n2sn = smooNoMap.begin(); n2sn != smooNoMap.end(); ++n2sn )
+ {
+ TSmoothNode& sNode = n2sn->second;
+ if ( sNode._triangles.empty() )
+ continue; // not movable node
+
+ gp_XY newUV;
+ bool isValid = false;
+ bool use3D = ( iLoop > 2 ); // 3 loops in 2D and 2, in 3D
+
+ if ( use3D )
+ {
+ // compute a new XYZ
+ gp_XYZ newXYZ (0,0,0);
+ for ( unsigned i = 0; i < sNode._triangles.size(); ++i )
+ newXYZ += sNode._triangles[i]._n1->_xyz;
+ newXYZ /= sNode._triangles.size();
+
+ // compute a new UV by projection
+ proj.Perform( newXYZ );
+ isValid = ( proj.IsDone() && proj.NbPoints() > 0 );
+ if ( isValid )
+ {
+ // check validity of the newUV
+ Quantity_Parameter u,v;
+ proj.LowerDistanceParameters( u, v );
+ newUV.SetCoord( u, v );
+ for ( unsigned i = 0; i < sNode._triangles.size() && isValid; ++i )
+ isValid = ( sNode._triangles[i].IsForward( newUV ) == refForward );
+ }
+ }
+ if ( !isValid )
+ {
+ // compute a new UV by averaging
+ newUV.SetCoord(0.,0.);
+ for ( unsigned i = 0; i < sNode._triangles.size(); ++i )
+ newUV += sNode._triangles[i]._n1->_uv;
+ newUV /= sNode._triangles.size();
+
+ // check validity of the newUV
+ isValid = true;
+ for ( unsigned i = 0; i < sNode._triangles.size() && isValid; ++i )
+ isValid = ( sNode._triangles[i].IsForward( newUV ) == refForward );
+ }
+ if ( isValid )
+ {
+ sNode._uv = newUV;
+ sNode._xyz = surface->Value( newUV.X(), newUV.Y() ).XYZ();
+ }
+ }
+ }
+
+ // Set new XYZ to the smoothed nodes
+
+ for ( n2sn = smooNoMap.begin(); n2sn != smooNoMap.end(); ++n2sn )
+ {
+ TSmoothNode& sNode = n2sn->second;
+ if ( sNode._triangles.empty() )
+ continue; // not movable node
+
+ SMDS_MeshNode* node = const_cast< SMDS_MeshNode*>( n2sn->first );
+ gp_Pnt xyz = surface->Value( sNode._uv.X(), sNode._uv.Y() );
+ meshDS->MoveNode( node, xyz.X(), xyz.Y(), xyz.Z() );
+
+ // store the new UV
+ node->SetPosition( SMDS_PositionPtr( new SMDS_FacePosition( sNode._uv.X(), sNode._uv.Y() )));
+ }
+
+ // Move medium nodes in quadratic mesh
+ if ( _quadraticMesh )
+ {
+ const TLinkNodeMap& links = myHelper->GetTLinkNodeMap();
+ TLinkNodeMap::const_iterator linkIt = links.begin();
+ for ( ; linkIt != links.end(); ++linkIt )
+ {
+ const SMESH_TLink& link = linkIt->first;
+ SMDS_MeshNode* node = const_cast< SMDS_MeshNode*>( linkIt->second );
+
+ if ( node->getshapeId() != myHelper->GetSubShapeID() )
+ continue; // medium node is on EDGE or VERTEX
+
+ gp_XY uv1 = myHelper->GetNodeUV( geomFace, link.node1(), node );
+ gp_XY uv2 = myHelper->GetNodeUV( geomFace, link.node2(), node );
+
+ gp_XY uv = myHelper->GetMiddleUV( surface, uv1, uv2 );
+ node->SetPosition( SMDS_PositionPtr( new SMDS_FacePosition( uv.X(), uv.Y() )));
+
+ gp_Pnt xyz = surface->Value( uv.X(), uv.Y() );
+ meshDS->MoveNode( node, xyz.X(), xyz.Y(), xyz.Z() );
+ }
+ }
+}
+
+//================================================================================
+/*!
+ * \brief Checks validity of generated faces
+ */
+//================================================================================
+
+bool StdMeshers_Quadrangle_2D::check()
+{
+ const bool isOK = true;
+ if ( !myCheckOri || myQuadList.empty() || !myQuadList.front() || !myHelper )
+ return isOK;
+
+ TopoDS_Face geomFace = TopoDS::Face( myHelper->GetSubShape() );
+ SMESHDS_Mesh* meshDS = myHelper->GetMeshDS();
+ SMESHDS_SubMesh* fSubMesh = meshDS->MeshElements( geomFace );
+ bool toCheckUV;
+ if ( geomFace.Orientation() >= TopAbs_INTERNAL ) geomFace.Orientation( TopAbs_FORWARD );
+
+ // Get a reference orientation sign
+
+ double okSign;
+ {
+ TError err;
+ TSideVector wireVec =
+ StdMeshers_FaceSide::GetFaceWires( geomFace, *myHelper->GetMesh(), true, err );
+ StdMeshers_FaceSidePtr wire = wireVec[0];
+
+ // find a right angle VERTEX
+ int iVertex;
+ double maxAngle = -1e100;
+ for ( int i = 0; i < wire->NbEdges(); ++i )
+ {
+ int iPrev = myHelper->WrapIndex( i-1, wire->NbEdges() );
+ const TopoDS_Edge& e1 = wire->Edge( iPrev );
+ const TopoDS_Edge& e2 = wire->Edge( i );
+ double angle = myHelper->GetAngle( e1, e2, geomFace, wire->FirstVertex( i ));
+ if (( maxAngle < angle ) &&
+ ( 5.* M_PI/180 < angle && angle < 175.* M_PI/180 ))
+ {
+ maxAngle = angle;
+ iVertex = i;
+ }
+ }
+ if ( maxAngle < -2*M_PI ) return isOK;
+
+ // get a sign of 2D area of a corner face
+
+ int iPrev = myHelper->WrapIndex( iVertex-1, wire->NbEdges() );
+ const TopoDS_Edge& e1 = wire->Edge( iPrev );
+ const TopoDS_Edge& e2 = wire->Edge( iVertex );
+
+ gp_Vec2d v1, v2; gp_Pnt2d p;
+ double u[2];
+ {
+ bool rev = ( e1.Orientation() == TopAbs_REVERSED );
+ Handle(Geom2d_Curve) c = BRep_Tool::CurveOnSurface( e1, geomFace, u[0], u[1] );
+ c->D1( u[ !rev ], p, v1 );
+ if ( !rev )
+ v1.Reverse();
+ }
+ {
+ bool rev = ( e2.Orientation() == TopAbs_REVERSED );
+ Handle(Geom2d_Curve) c = BRep_Tool::CurveOnSurface( e2, geomFace, u[0], u[1] );
+ c->D1( u[ rev ], p, v2 );
+ if ( rev )
+ v2.Reverse();
+ }
+
+ okSign = v2 ^ v1;
+
+ if ( maxAngle < 0 )
+ okSign *= -1;
+ }
+
+ // Look for incorrectly oriented faces
+
+ std::list<const SMDS_MeshElement*> badFaces;
+
+ const SMDS_MeshNode* nn [ 8 ]; // 8 is just for safety
+ gp_UV uv [ 8 ];
+ SMDS_ElemIteratorPtr fIt = fSubMesh->GetElements();
+ while ( fIt->more() ) // loop on faces bound to a FACE
+ {
+ const SMDS_MeshElement* f = fIt->next();
+
+ const int nbN = f->NbCornerNodes();
+ for ( int i = 0; i < nbN; ++i )
+ nn[ i ] = f->GetNode( i );
+
+ const SMDS_MeshNode* nInFace = 0;
+ if ( myHelper->HasSeam() )
+ for ( int i = 0; i < nbN && !nInFace; ++i )
+ if ( !myHelper->IsSeamShape( nn[i]->getshapeId() ))
+ nInFace = nn[i];
+
+ for ( int i = 0; i < nbN; ++i )
+ uv[ i ] = myHelper->GetNodeUV( geomFace, nn[i], nInFace, &toCheckUV );
+
+ switch ( nbN ) {
+ case 4:
+ {
+ double sign1 = getArea( uv[0], uv[1], uv[2] );
+ double sign2 = getArea( uv[0], uv[2], uv[3] );
+ if ( sign1 * sign2 < 0 )
+ {
+ sign2 = getArea( uv[1], uv[2], uv[3] );
+ sign1 = getArea( uv[1], uv[3], uv[0] );
+ if ( sign1 * sign2 < 0 )
+ continue; // this should not happen
+ }
+ if ( sign1 * okSign < 0 )
+ badFaces.push_back ( f );
+ break;
+ }
+ case 3:
+ {
+ double sign = getArea( uv[0], uv[1], uv[2] );
+ if ( sign * okSign < 0 )
+ badFaces.push_back ( f );
+ break;
+ }
+ default:;
+ }
+ }
+
+ if ( !badFaces.empty() )
+ {
+ SMESH_subMesh* fSM = myHelper->GetMesh()->GetSubMesh( geomFace );
+ SMESH_ComputeErrorPtr& err = fSM->GetComputeError();
+ err.reset ( new SMESH_ComputeError( COMPERR_ALGO_FAILED,
+ "Inverted elements generated"));
+ err->myBadElements.swap( badFaces );
+
+ return !isOK;
+ }
+
+ return isOK;
+}
+
+/*//================================================================================
+/*!
+ * \brief Finds vertices at the most sharp face corners
+ * \param [in] theFace - the FACE
+ * \param [in,out] theWire - the ordered edges of the face. It can be modified to
+ * have the first VERTEX of the first EDGE in \a vertices
+ * \param [out] theVertices - the found corner vertices in the order corresponding to
+ * the order of EDGEs in \a theWire
+ * \param [out] theNbDegenEdges - nb of degenerated EDGEs in theFace
+ * \param [in] theConsiderMesh - if \c true, only meshed VERTEXes are considered
+ * as possible corners
+ * \return int - number of quad sides found: 0, 3 or 4
+ */
+//================================================================================
+
+int StdMeshers_Quadrangle_2D::getCorners(const TopoDS_Face& theFace,
+ SMESH_Mesh & theMesh,
+ std::list<TopoDS_Edge>& theWire,
+ std::vector<TopoDS_Vertex>& theVertices,
+ int & theNbDegenEdges,
+ const bool theConsiderMesh)
+{
+ theNbDegenEdges = 0;
+
+ SMESH_MesherHelper helper( theMesh );
+
+ // sort theVertices by angle
+ multimap<double, TopoDS_Vertex> vertexByAngle;
+ TopTools_DataMapOfShapeReal angleByVertex;
+ TopoDS_Edge prevE = theWire.back();
+ if ( SMESH_Algo::isDegenerated( prevE ))
+ {
+ list<TopoDS_Edge>::reverse_iterator edge = ++theWire.rbegin();
+ while ( SMESH_Algo::isDegenerated( *edge ))
+ ++edge;
+ if ( edge == theWire.rend() )
+ return false;
+ prevE = *edge;
+ }
+ list<TopoDS_Edge>::iterator edge = theWire.begin();
+ for ( ; edge != theWire.end(); ++edge )
+ {
+ if ( SMESH_Algo::isDegenerated( *edge ))
+ {
+ ++theNbDegenEdges;
+ continue;
+ }
+ TopoDS_Vertex v = helper.IthVertex( 0, *edge );
+ if ( !theConsiderMesh || SMESH_Algo::VertexNode( v, helper.GetMeshDS() ))
+ {
+ double angle = SMESH_MesherHelper::GetAngle( prevE, *edge, theFace, v );
+ vertexByAngle.insert( make_pair( angle, v ));
+ angleByVertex.Bind( v, angle );
+ }
+ prevE = *edge;
+ }
+
+ // find out required nb of corners (3 or 4)
+ int nbCorners = 4;
+ TopoDS_Shape triaVertex = helper.GetMeshDS()->IndexToShape( myTriaVertexID );
+ if ( !triaVertex.IsNull() &&
+ triaVertex.ShapeType() == TopAbs_VERTEX &&
+ helper.IsSubShape( triaVertex, theFace ) &&
+ ( vertexByAngle.size() != 4 || vertexByAngle.begin()->first < 5 * M_PI/180. ))
+ nbCorners = 3;
+ else
+ triaVertex.Nullify();
+
+ // check nb of available corners
+ if ( nbCorners == 3 )
+ {
+ if ( vertexByAngle.size() < 3 )
+ return error(COMPERR_BAD_SHAPE,
+ TComm("Face must have 3 sides but not ") << vertexByAngle.size() );
+ }
+ else
+ {
+ if ( vertexByAngle.size() == 3 && theNbDegenEdges == 0 )
+ {
+ if ( myTriaVertexID < 1 )
+ return error(COMPERR_BAD_PARMETERS,
+ "No Base vertex provided for a trilateral geometrical face");
+
+ TComm comment("Invalid Base vertex: ");
+ comment << myTriaVertexID << " its ID is not among [ ";
+ multimap<double, TopoDS_Vertex>::iterator a2v = vertexByAngle.begin();
+ comment << helper.GetMeshDS()->ShapeToIndex( a2v->second ) << ", "; a2v++;
+ comment << helper.GetMeshDS()->ShapeToIndex( a2v->second ) << ", "; a2v++;
+ comment << helper.GetMeshDS()->ShapeToIndex( a2v->second ) << " ]";
+ return error(COMPERR_BAD_PARMETERS, comment );
+ }
+ if ( vertexByAngle.size() + ( theNbDegenEdges > 0 ) < 4 &&
+ vertexByAngle.size() + theNbDegenEdges != 4 )
+ return error(COMPERR_BAD_SHAPE,
+ TComm("Face must have 4 sides but not ") << vertexByAngle.size() );
+ }
+
+ // put all corner vertices in a map
+ TopTools_MapOfShape vMap;
+ if ( nbCorners == 3 )
+ vMap.Add( triaVertex );
+ multimap<double, TopoDS_Vertex>::reverse_iterator a2v = vertexByAngle.rbegin();
+ for ( int iC = 0; a2v != vertexByAngle.rend() && iC < nbCorners; ++a2v, ++iC )
+ vMap.Add( (*a2v).second );
+
+ // check if there are possible variations in choosing corners
+ bool isThereVariants = false;
+ if ( vertexByAngle.size() > nbCorners )
+ {
+ double lostAngle = a2v->first;
+ double lastAngle = ( --a2v, a2v->first );
+ isThereVariants = ( lostAngle * 1.1 >= lastAngle );
+ }
+
+ myCheckOri = ( vertexByAngle.size() > nbCorners ||
+ vertexByAngle.begin()->first < 5.* M_PI/180 );
+
+ // make theWire begin from a corner vertex or triaVertex
+ if ( nbCorners == 3 )
+ while ( !triaVertex.IsSame( ( helper.IthVertex( 0, theWire.front() ))) ||
+ SMESH_Algo::isDegenerated( theWire.front() ))
+ theWire.splice( theWire.end(), theWire, theWire.begin() );
+ else
+ while ( !vMap.Contains( helper.IthVertex( 0, theWire.front() )) ||
+ SMESH_Algo::isDegenerated( theWire.front() ))
+ theWire.splice( theWire.end(), theWire, theWire.begin() );
+
+ // fill the result vector and prepare for its refinement
+ theVertices.clear();
+ vector< double > angles;
+ vector< TopoDS_Edge > edgeVec;
+ vector< int > cornerInd, nbSeg;
+ angles.reserve( vertexByAngle.size() );
+ edgeVec.reserve( vertexByAngle.size() );
+ nbSeg.reserve( vertexByAngle.size() );
+ cornerInd.reserve( nbCorners );
+ for ( edge = theWire.begin(); edge != theWire.end(); ++edge )
+ {
+ if ( SMESH_Algo::isDegenerated( *edge ))
+ continue;
+ TopoDS_Vertex v = helper.IthVertex( 0, *edge );
+ bool isCorner = vMap.Contains( v );
+ if ( isCorner )
+ {
+ theVertices.push_back( v );
+ cornerInd.push_back( angles.size() );
+ }
+ angles.push_back( angleByVertex.IsBound( v ) ? angleByVertex( v ) : -M_PI );
+ edgeVec.push_back( *edge );
+ if ( theConsiderMesh && isThereVariants )
+ {
+ if ( SMESHDS_SubMesh* sm = helper.GetMeshDS()->MeshElements( *edge ))
+ nbSeg.push_back( sm->NbNodes() + 1 );
+ else
+ nbSeg.push_back( 0 );
+ }
+ }
+
+ // refine the result vector - make sides elual by length if
+ // there are several equal angles
+ if ( isThereVariants )
+ {
+ if ( nbCorners == 3 )
+ angles[0] = 2 * M_PI; // not to move the base triangle VERTEX
+
+ set< int > refinedCorners;
+ for ( size_t iC = 0; iC < cornerInd.size(); ++iC )
+ {
+ int iV = cornerInd[iC];
+ if ( !refinedCorners.insert( iV ).second )
+ continue;
+ list< int > equalVertices;
+ equalVertices.push_back( iV );
+ int nbC[2] = { 0, 0 };
+ // find equal angles backward and forward from the iV-th corner vertex
+ for ( int isFwd = 0; isFwd < 2; ++isFwd )
+ {
+ int dV = isFwd ? +1 : -1;
+ int iCNext = helper.WrapIndex( iC + dV, cornerInd.size() );
+ int iVNext = helper.WrapIndex( iV + dV, angles.size() );
+ while ( iVNext != iV )
+ {
+ bool equal = Abs( angles[iV] - angles[iVNext] ) < 0.1 * angles[iV];
+ if ( equal )
+ equalVertices.insert( isFwd ? equalVertices.end() : equalVertices.begin(), iVNext );
+ if ( iVNext == cornerInd[ iCNext ])
+ {
+ if ( !equal )
+ break;
+ nbC[ isFwd ]++;
+ refinedCorners.insert( cornerInd[ iCNext ] );
+ iCNext = helper.WrapIndex( iCNext + dV, cornerInd.size() );
+ }
+ iVNext = helper.WrapIndex( iVNext + dV, angles.size() );
+ }
+ }
+ // move corners to make sides equal by length
+ int nbEqualV = equalVertices.size();
+ int nbExcessV = nbEqualV - ( 1 + nbC[0] + nbC[1] );
+ if ( nbExcessV > 0 )
+ {
+ // calculate normalized length of each side enclosed between neighbor equalVertices
+ vector< double > curLengths;
+ double totalLen = 0;
+ vector< int > evVec( equalVertices.begin(), equalVertices.end() );
+ int iEV = 0;
+ int iE = cornerInd[ helper.WrapIndex( iC - nbC[0] - 1, cornerInd.size() )];
+ int iEEnd = cornerInd[ helper.WrapIndex( iC + nbC[1] + 1, cornerInd.size() )];
+ while ( curLengths.size() < nbEqualV + 1 )
+ {
+ curLengths.push_back( totalLen );
+ do {
+ curLengths.back() += SMESH_Algo::EdgeLength( edgeVec[ iE ]);
+ iE = helper.WrapIndex( iE + 1, edgeVec.size());
+ if ( iEV < evVec.size() && iE == evVec[ iEV++ ] )
+ break;
+ }
+ while( iE != iEEnd );
+ totalLen = curLengths.back();
+ }
+ curLengths.resize( equalVertices.size() );
+ for ( size_t iS = 0; iS < curLengths.size(); ++iS )
+ curLengths[ iS ] /= totalLen;
+
+ // find equalVertices most close to the ideal sub-division of all sides
+ int iBestEV = 0;
+ int iCorner = helper.WrapIndex( iC - nbC[0], cornerInd.size() );
+ int nbSides = 2 + nbC[0] + nbC[1];
+ for ( int iS = 1; iS < nbSides; ++iS, ++iBestEV )
+ {
+ double idealLen = iS / double( nbSides );
+ double d, bestDist = 1.;
+ for ( iEV = iBestEV; iEV < curLengths.size(); ++iEV )
+ if (( d = Abs( idealLen - curLengths[ iEV ])) < bestDist )
+ {
+ bestDist = d;
+ iBestEV = iEV;
+ }
+ if ( iBestEV > iS-1 + nbExcessV )
+ iBestEV = iS-1 + nbExcessV;
+ theVertices[ iCorner ] = helper.IthVertex( 0, edgeVec[ evVec[ iBestEV ]]);
+ iCorner = helper.WrapIndex( iCorner + 1, cornerInd.size() );
+ }
+ }
+ }
+ }
+
+ return nbCorners;
+}
+
+//================================================================================
+/*!
+ * \brief Constructor of a side of quad
+ */
+//================================================================================
+
+FaceQuadStruct::Side::Side(StdMeshers_FaceSidePtr theGrid)
+ : grid(theGrid), nbNodeOut(0), from(0), to(theGrid ? theGrid->NbPoints() : 0 ), di(1)
+{
+}
+
+//=============================================================================
+/*!
+ * \brief Constructor of a quad
+ */
+//=============================================================================
+
+FaceQuadStruct::FaceQuadStruct(const TopoDS_Face& F, const std::string& theName)
+ : face( F ), name( theName )
+{
+ side.reserve(4);
+}
+
+//================================================================================
+/*!
+ * \brief Fills myForcedPnts
+ */
+//================================================================================
+
+bool StdMeshers_Quadrangle_2D::getEnforcedUV()
+{
+ myForcedPnts.clear();
+ if ( !myParams ) return true; // missing hypothesis
+
+ std::vector< TopoDS_Shape > shapes;
+ std::vector< gp_Pnt > points;
+ myParams->GetEnforcedNodes( shapes, points );
+
+ TopTools_IndexedMapOfShape vMap;
+ for ( size_t i = 0; i < shapes.size(); ++i )
+ if ( !shapes[i].IsNull() )
+ TopExp::MapShapes( shapes[i], TopAbs_VERTEX, vMap );
+
+ size_t nbPoints = points.size();
+ for ( int i = 1; i <= vMap.Extent(); ++i )
+ points.push_back( BRep_Tool::Pnt( TopoDS::Vertex( vMap( i ))));
+
+ // find out if all points must be in the FACE, which is so if
+ // myParams is a local hypothesis on the FACE being meshed
+ bool isStrictCheck = false;
+ {
+ SMESH_HypoFilter paramFilter( SMESH_HypoFilter::Is( myParams ));
+ TopoDS_Shape assignedTo;
+ if ( myHelper->GetMesh()->GetHypothesis( myHelper->GetSubShape(),
+ paramFilter,
+ /*ancestors=*/true,
+ &assignedTo ))
+ isStrictCheck = ( assignedTo.IsSame( myHelper->GetSubShape() ));