+ * \b WARNING edges in out1 coming from \a splitMesh1D are \b NOT oriented because only used for equation of curve.
+ */
+void BuildMesh2DCutInternal2(const MEDCouplingUMesh *splitMesh1D, const std::vector<int>& edge1Bis, const std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> >& edge1BisPtr,
+ std::vector< std::vector<int> >& out0, std::vector< std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> > >& out1)
+{
+ std::size_t nb(edge1Bis.size()/2);
+ std::size_t nbOfEdgesOf2DCellSplit(nb/2);
+ int iEnd(splitMesh1D->getNumberOfCells());
+ if(iEnd==0)
+ throw INTERP_KERNEL::Exception("BuildMesh2DCutInternal2 : internal error ! input 1D mesh must have at least one cell !");
+ std::size_t ii,jj;
+ const int *cSplitPtr(splitMesh1D->getNodalConnectivity()->begin()),*ciSplitPtr(splitMesh1D->getNodalConnectivityIndex()->begin());
+ for(ii=0;ii<nb && edge1Bis[2*ii]!=cSplitPtr[ciSplitPtr[0]+1];ii++);
+ for(jj=ii;jj<nb && edge1Bis[2*jj+1]!=cSplitPtr[ciSplitPtr[iEnd-1]+2];jj++);
+ //
+ if(jj==nb)
+ {//the edges splitMesh1D[iStart:iEnd] does not fully cut the current 2D cell -> single output cell
+ out0.resize(1); out1.resize(1);
+ std::vector<int>& connOut(out0[0]);
+ connOut.resize(nbOfEdgesOf2DCellSplit);
+ std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> >& edgesPtr(out1[0]);
+ edgesPtr.resize(nbOfEdgesOf2DCellSplit);
+ for(std::size_t kk=0;kk<nbOfEdgesOf2DCellSplit;kk++)
+ {
+ connOut[kk]=edge1Bis[2*kk];
+ edgesPtr[kk]=edge1BisPtr[2*kk];
+ }
+ }
+ else
+ {
+ // [i,iEnd[ contains the
+ out0.resize(2); out1.resize(2);
+ std::vector<int>& connOutLeft(out0[0]);
+ std::vector<int>& connOutRight(out0[1]);//connOutLeft should end with edge1Bis[2*ii] and connOutRight should end with edge1Bis[2*jj+1]
+ std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> >& eleft(out1[0]);
+ std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> >& eright(out1[1]);
+ for(std::size_t k=ii;k<jj+1;k++)
+ { connOutLeft.push_back(edge1Bis[2*k+1]); eleft.push_back(edge1BisPtr[2*k+1]); }
+ std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> > ees(iEnd);
+ for(int ik=iEnd-1;ik>=0;ik--)
+ {
+ std::map< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Node>,int> m;
+ MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> ee(MEDCouplingUMeshBuildQPFromEdge2((INTERP_KERNEL::NormalizedCellType)cSplitPtr[ciSplitPtr[ik]],cSplitPtr+ciSplitPtr[ik]+1,splitMesh1D->getCoords()->begin(),m));
+ ees[iEnd-1-ik]=ee;
+ }
+ for(int ik=iEnd-1;ik>=0;ik--)
+ connOutLeft.push_back(cSplitPtr[ciSplitPtr[ik]+1]);
+ for(std::size_t k=jj+1;k<nbOfEdgesOf2DCellSplit+ii;k++)
+ { connOutRight.push_back(edge1Bis[2*k+1]); eright.push_back(edge1BisPtr[2*k+1]); }
+ eleft.insert(eleft.end(),ees.begin(),ees.end());
+ for(int ik=0;ik<iEnd;ik++)
+ connOutRight.push_back(cSplitPtr[ciSplitPtr[ik]+2]);
+ eright.insert(eright.end(),ees.rbegin(),ees.rend());
+ }
+}
+
+/// @cond INTERNAL
+
+struct CellInfo
+{
+public:
+ CellInfo() { }
+ CellInfo(const std::vector<int>& edges, const std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> >& edgesPtr);
+public:
+ std::vector<int> _edges;
+ std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> > _edges_ptr;
+};
+
+CellInfo::CellInfo(const std::vector<int>& edges, const std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> >& edgesPtr)
+{
+ std::size_t nbe(edges.size());
+ std::vector<int> edges2(2*nbe); std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> > edgesPtr2(2*nbe);
+ for(std::size_t i=0;i<nbe;i++)
+ {
+ edges2[2*i]=edges[i]; edges2[2*i+1]=edges[(i+1)%nbe];
+ edgesPtr2[2*i]=edgesPtr[i]; edgesPtr2[2*i+1]=edgesPtr[i];
+ }
+ _edges.resize(4*nbe); _edges_ptr.resize(4*nbe);
+ std::copy(edges2.begin(),edges2.end(),_edges.begin()); std::copy(edges2.begin(),edges2.end(),_edges.begin()+2*nbe);
+ std::copy(edgesPtr2.begin(),edgesPtr2.end(),_edges_ptr.begin()); std::copy(edgesPtr2.begin(),edgesPtr2.end(),_edges_ptr.begin()+2*nbe);
+}
+
+class EdgeInfo
+{
+public:
+ EdgeInfo(int istart, int iend, const MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh>& mesh):_istart(istart),_iend(iend),_mesh(mesh),_left(-7),_right(-7) { }
+ EdgeInfo(int istart, int iend, int pos, const MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge>& edge):_istart(istart),_iend(iend),_edge(edge),_left(pos),_right(pos+1) { }
+ bool isInMyRange(int pos) const { return pos>=_istart && pos<_iend; }
+ void somethingHappendAt(int pos, const std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> >& newLeft, const std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> >& newRight);
+ void feedEdgeInfoAt(double eps, const MEDCouplingUMesh *mesh2D, int offset, int neighbors[2]) const;
+private:
+ int _istart;
+ int _iend;
+ MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh> _mesh;
+ MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> _edge;
+ int _left;
+ int _right;
+};
+
+void EdgeInfo::somethingHappendAt(int pos, const std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> >& newLeft, const std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> >& newRight)
+{
+ const MEDCouplingUMesh *mesh(_mesh);
+ if(mesh)
+ return ;
+ if(_right<pos)
+ return ;
+ if(_left>pos)
+ { _left++; _right++; return ; }
+ if(_right==pos)
+ {
+ bool isLeft(std::find(newLeft.begin(),newLeft.end(),_edge)!=newLeft.end()),isRight(std::find(newRight.begin(),newRight.end(),_edge)!=newRight.end());
+ if((isLeft && isRight) || (!isLeft && !isRight))
+ throw INTERP_KERNEL::Exception("EdgeInfo::somethingHappendAt : internal error # 1 !");
+ if(isLeft)
+ return ;
+ if(isRight)
+ {
+ _right++;
+ return ;
+ }
+ }
+ if(_left==pos)
+ {
+ bool isLeft(std::find(newLeft.begin(),newLeft.end(),_edge)!=newLeft.end()),isRight(std::find(newRight.begin(),newRight.end(),_edge)!=newRight.end());
+ if((isLeft && isRight) || (!isLeft && !isRight))
+ throw INTERP_KERNEL::Exception("EdgeInfo::somethingHappendAt : internal error # 2 !");
+ if(isLeft)
+ {
+ _right++;
+ return ;
+ }
+ if(isRight)
+ {
+ _left++;
+ _right++;
+ return ;
+ }
+ }
+}
+
+void EdgeInfo::feedEdgeInfoAt(double eps, const MEDCouplingUMesh *mesh2D, int offset, int neighbors[2]) const
+{
+ const MEDCouplingUMesh *mesh(_mesh);
+ if(!mesh)
+ {
+ neighbors[0]=offset+_left; neighbors[1]=offset+_right;
+ }
+ else
+ {// not fully splitting cell case
+ if(mesh2D->getNumberOfCells()==1)
+ {//little optimization. 1 cell no need to find in which cell mesh is !
+ neighbors[0]=offset; neighbors[1]=offset;
+ return;
+ }
+ else
+ {
+ MEDCouplingAutoRefCountObjectPtr<DataArrayDouble> barys(mesh->getBarycenterAndOwner());
+ int cellId(mesh2D->getCellContainingPoint(barys->begin(),eps));
+ if(cellId==-1)
+ throw INTERP_KERNEL::Exception("EdgeInfo::feedEdgeInfoAt : internal error !");
+ neighbors[0]=offset+cellId; neighbors[1]=offset+cellId;
+ }
+ }
+}
+
+class VectorOfCellInfo
+{
+public:
+ VectorOfCellInfo(const std::vector<int>& edges, const std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> >& edgesPtr);
+ std::size_t size() const { return _pool.size(); }
+ int getPositionOf(double eps, const MEDCouplingUMesh *mesh) const;
+ void setMeshAt(int pos, const MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh>& mesh, int istart, int iend, const MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh>& mesh1DInCase, const std::vector< std::vector<int> >& edges, const std::vector< std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> > >& edgePtrs);
+ const std::vector<int>& getConnOf(int pos) const { return get(pos)._edges; }
+ const std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> >& getEdgePtrOf(int pos) const { return get(pos)._edges_ptr; }
+ MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh> getZeMesh() const { return _ze_mesh; }
+ void feedEdgeInfoAt(double eps, int pos, int offset, int neighbors[2]) const;
+private:
+ int getZePosOfEdgeGivenItsGlobalId(int pos) const;
+ void updateEdgeInfo(int pos, const std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> >& newLeft, const std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> >& newRight);
+ const CellInfo& get(int pos) const;
+ CellInfo& get(int pos);
+private:
+ std::vector<CellInfo> _pool;
+ MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh> _ze_mesh;
+ std::vector<EdgeInfo> _edge_info;
+};
+
+VectorOfCellInfo::VectorOfCellInfo(const std::vector<int>& edges, const std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> >& edgesPtr):_pool(1)
+{
+ _pool[0]._edges=edges;
+ _pool[0]._edges_ptr=edgesPtr;
+}
+
+int VectorOfCellInfo::getPositionOf(double eps, const MEDCouplingUMesh *mesh) const
+{
+ if(_pool.empty())
+ throw INTERP_KERNEL::Exception("VectorOfCellSplitter::getPositionOf : empty !");
+ if(_pool.size()==1)
+ return 0;
+ const MEDCouplingUMesh *zeMesh(_ze_mesh);
+ if(!zeMesh)
+ throw INTERP_KERNEL::Exception("VectorOfCellSplitter::getPositionOf : null aggregated mesh !");
+ MEDCouplingAutoRefCountObjectPtr<DataArrayDouble> barys(mesh->getBarycenterAndOwner());
+ return zeMesh->getCellContainingPoint(barys->begin(),eps);
+}
+
+void VectorOfCellInfo::setMeshAt(int pos, const MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh>& mesh, int istart, int iend, const MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh>& mesh1DInCase, const std::vector< std::vector<int> >& edges, const std::vector< std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> > >& edgePtrs)
+{
+ get(pos);//to check pos
+ bool isFast(pos==0 && _pool.size()==1);
+ std::size_t sz(edges.size());
+ // dealing with edges
+ if(sz==1)
+ _edge_info.push_back(EdgeInfo(istart,iend,mesh1DInCase));
+ else
+ _edge_info.push_back(EdgeInfo(istart,iend,pos,edgePtrs[0].back()));
+ //
+ std::vector<CellInfo> pool(_pool.size()-1+sz);
+ for(int i=0;i<pos;i++)
+ pool[i]=_pool[i];
+ for(std::size_t j=0;j<sz;j++)
+ pool[pos+j]=CellInfo(edges[j],edgePtrs[j]);
+ for(int i=pos+1;i<(int)_pool.size();i++)
+ pool[pos+sz-1]=_pool[i];
+ _pool=pool;
+ //
+ if(sz==2)
+ updateEdgeInfo(pos,edgePtrs[0],edgePtrs[1]);
+ //
+ if(isFast)
+ {
+ _ze_mesh=mesh;
+ return ;
+ }
+ //
+ std::vector< MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh> > ms;
+ if(pos>0)
+ {
+ MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh> elt(static_cast<MEDCouplingUMesh *>(_ze_mesh->buildPartOfMySelf2(0,pos,true)));
+ ms.push_back(elt);
+ }
+ ms.push_back(mesh);
+ if(pos<_ze_mesh->getNumberOfCells()-1)
+ {
+ MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh> elt(static_cast<MEDCouplingUMesh *>(_ze_mesh->buildPartOfMySelf2(pos+1,_ze_mesh->getNumberOfCells(),true)));
+ ms.push_back(elt);
+ }
+ std::vector< const MEDCouplingUMesh *> ms2(ms.size());
+ for(std::size_t j=0;j<ms2.size();j++)
+ ms2[j]=ms[j];
+ _ze_mesh=MEDCouplingUMesh::MergeUMeshesOnSameCoords(ms2);
+}
+
+void VectorOfCellInfo::feedEdgeInfoAt(double eps, int pos, int offset, int neighbors[2]) const
+{
+ _edge_info[getZePosOfEdgeGivenItsGlobalId(pos)].feedEdgeInfoAt(eps,_ze_mesh,offset,neighbors);
+}
+
+int VectorOfCellInfo::getZePosOfEdgeGivenItsGlobalId(int pos) const
+{
+ if(pos<0)
+ throw INTERP_KERNEL::Exception("VectorOfCellInfo::getZePosOfEdgeGivenItsGlobalId : invalid id ! Must be >=0 !");
+ int ret(0);
+ for(std::vector<EdgeInfo>::const_iterator it=_edge_info.begin();it!=_edge_info.end();it++,ret++)
+ {
+ if((*it).isInMyRange(pos))
+ return ret;
+ }
+ throw INTERP_KERNEL::Exception("VectorOfCellInfo::getZePosOfEdgeGivenItsGlobalId : invalid id !");
+}
+
+void VectorOfCellInfo::updateEdgeInfo(int pos, const std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> >& newLeft, const std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> >& newRight)
+{
+ get(pos);//to check;
+ if(_edge_info.empty())
+ return ;
+ std::size_t sz(_edge_info.size()-1);
+ for(std::size_t i=0;i<sz;i++)
+ _edge_info[i].somethingHappendAt(pos,newLeft,newRight);
+}
+
+const CellInfo& VectorOfCellInfo::get(int pos) const
+{
+ if(pos<0 || pos>=(int)_pool.size())
+ throw INTERP_KERNEL::Exception("VectorOfCellSplitter::get const : invalid pos !");
+ return _pool[pos];
+}
+
+CellInfo& VectorOfCellInfo::get(int pos)
+{
+ if(pos<0 || pos>=(int)_pool.size())
+ throw INTERP_KERNEL::Exception("VectorOfCellSplitter::get : invalid pos !");
+ return _pool[pos];
+}
+
+MEDCouplingUMesh *BuildMesh2DCutInternal(double eps, const MEDCouplingUMesh *splitMesh1D, const std::vector<int>& allEdges, const std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> >& allEdgesPtr, int offset,
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt>& idsLeftRight)
+{
+ int nbCellsInSplitMesh1D(splitMesh1D->getNumberOfCells());
+ if(nbCellsInSplitMesh1D==0)
+ throw INTERP_KERNEL::Exception("BuildMesh2DCutInternal : internal error ! input 1D mesh must have at least one cell !");
+ const int *cSplitPtr(splitMesh1D->getNodalConnectivity()->begin()),*ciSplitPtr(splitMesh1D->getNodalConnectivityIndex()->begin());
+ std::size_t nb(allEdges.size()),jj;
+ if(nb%2!=0)
+ throw INTERP_KERNEL::Exception("BuildMesh2DCutFrom : internal error 2 !");
+ std::vector<int> edge1Bis(nb*2);
+ std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> > edge1BisPtr(nb*2);
+ std::copy(allEdges.begin(),allEdges.end(),edge1Bis.begin());
+ std::copy(allEdges.begin(),allEdges.end(),edge1Bis.begin()+nb);
+ std::copy(allEdgesPtr.begin(),allEdgesPtr.end(),edge1BisPtr.begin());
+ std::copy(allEdgesPtr.begin(),allEdgesPtr.end(),edge1BisPtr.begin()+nb);
+ //
+ idsLeftRight=DataArrayInt::New(); idsLeftRight->alloc(nbCellsInSplitMesh1D*2); idsLeftRight->fillWithValue(-2); idsLeftRight->rearrange(2);
+ int *idsLeftRightPtr(idsLeftRight->getPointer());
+ VectorOfCellInfo pool(edge1Bis,edge1BisPtr);
+ for(int iStart=0;iStart<nbCellsInSplitMesh1D;)
+ {// split [0:nbCellsInSplitMesh1D) in contiguous parts [iStart:iEnd)
+ int iEnd(iStart);
+ for(;iEnd<nbCellsInSplitMesh1D;)
+ {
+ for(jj=0;jj<nb && edge1Bis[2*jj+1]!=cSplitPtr[ciSplitPtr[iEnd]+2];jj++);
+ if(jj!=nb)
+ break;
+ else
+ iEnd++;
+ }
+ if(iEnd<nbCellsInSplitMesh1D)
+ iEnd++;
+ //
+ MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh> partOfSplitMesh1D(static_cast<MEDCouplingUMesh *>(splitMesh1D->buildPartOfMySelf2(iStart,iEnd,1,true)));
+ int pos(pool.getPositionOf(eps,partOfSplitMesh1D));
+ //
+ MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh>retTmp(MEDCouplingUMesh::New("",2));
+ retTmp->setCoords(splitMesh1D->getCoords());
+ retTmp->allocateCells();
+
+ std::vector< std::vector<int> > out0;
+ std::vector< std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> > > out1;
+
+ BuildMesh2DCutInternal2(partOfSplitMesh1D,pool.getConnOf(pos),pool.getEdgePtrOf(pos),out0,out1);
+ for(std::size_t cnt=0;cnt<out0.size();cnt++)
+ AddCellInMesh2D(retTmp,out0[cnt],out1[cnt]);
+ pool.setMeshAt(pos,retTmp,iStart,iEnd,partOfSplitMesh1D,out0,out1);
+ //
+ iStart=iEnd;
+ }
+ for(int mm=0;mm<nbCellsInSplitMesh1D;mm++)
+ pool.feedEdgeInfoAt(eps,mm,offset,idsLeftRightPtr+2*mm);
+ return pool.getZeMesh().retn();
+}
+
+MEDCouplingUMesh *BuildMesh2DCutFrom(double eps, int cellIdInMesh2D, const MEDCouplingUMesh *mesh2DDesc, const MEDCouplingUMesh *splitMesh1D,
+ const int *descBg, const int *descEnd, const std::vector< std::vector<int> >& intersectEdge1, int offset,
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt>& idsLeftRight)
+{
+ const int *cdescPtr(mesh2DDesc->getNodalConnectivity()->begin()),*cidescPtr(mesh2DDesc->getNodalConnectivityIndex()->begin());
+ //
+ std::vector<int> allEdges;
+ std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> > allEdgesPtr;
+ for(const int *it(descBg);it!=descEnd;it++)
+ {
+ int edgeId(std::abs(*it)-1);
+ std::map< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Node>,int> m;
+ MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Edge> ee(MEDCouplingUMeshBuildQPFromEdge2((INTERP_KERNEL::NormalizedCellType)cdescPtr[cidescPtr[edgeId]],cdescPtr+cidescPtr[edgeId]+1,mesh2DDesc->getCoords()->begin(),m));
+ const std::vector<int>& edge1(intersectEdge1[edgeId]);
+ if(*it>0)
+ allEdges.insert(allEdges.end(),edge1.begin(),edge1.end());
+ else
+ allEdges.insert(allEdges.end(),edge1.rbegin(),edge1.rend());
+ std::size_t sz(edge1.size());
+ for(std::size_t cnt=0;cnt<sz;cnt++)
+ allEdgesPtr.push_back(ee);
+ }
+ //
+ return BuildMesh2DCutInternal(eps,splitMesh1D,allEdges,allEdgesPtr,offset,idsLeftRight);
+}
+
+/// @endcond
+
+/*!
+ * Partitions the first given 2D mesh using the second given 1D mesh as a tool.
+ * Thus the final result contains all nodes from m1 plus new nodes. However it doesn't necessarily contains
+ * all nodes from \a mesh1D.
+ * The meshes should be in 2D space. In addition, returns two arrays mapping cells of the resulting mesh to cells of the input.
+ *
+ * \param [in] mesh2D - the 2D mesh (spacedim=meshdim=2) to be intersected using \a mesh1D tool.
+ * \param [in] mesh1D - the 1D mesh (spacedim=2 meshdim=1) the is the tool that will be used to intersect \a mesh2D.
+ * \param [in] eps - precision used to perform intersections and localization operations.
+ * \param [out] splitMesh2D - the result of the split of \a mesh2D mesh.
+ * \param [out] splitMesh1D - the result of the split of \a mesh1D mesh.
+ * \param [out] cellIdInMesh2D - the array that gives for each cell id \a i in \a splitMesh2D the id in \a mesh2D it comes from.
+ * So this array has a number of tuples equal to the number of cells of \a splitMesh2D and a number of component equal to 1.
+ * \param [out] cellIdInMesh1D - the array that gives for each cell id \a i in \a splitMesh1D the 1 or 2 id(s) in \a splitMesh2D that \a i shares.
+ * So this array has a number of tuples equal to the number of cells of \a splitMesh1D and a number of components equal to 2.
+ */
+void MEDCouplingUMesh::Intersect2DMeshWith1DLine(const MEDCouplingUMesh *mesh2D, const MEDCouplingUMesh *mesh1D, double eps, MEDCouplingUMesh *&splitMesh2D, MEDCouplingUMesh *&splitMesh1D, DataArrayInt *&cellIdInMesh2D, DataArrayInt *&cellIdInMesh1D)
+{
+ if(!mesh2D || !mesh1D)
+ throw INTERP_KERNEL::Exception("MEDCouplingUMesh::Intersect2DMeshWith1DLine : input meshes must be not NULL !");
+ mesh2D->checkFullyDefined();
+ mesh1D->checkFullyDefined();
+ const std::vector<std::string>& compNames(mesh2D->getCoords()->getInfoOnComponents());
+ if(mesh2D->getMeshDimension()!=2 || mesh2D->getSpaceDimension()!=2 || mesh1D->getMeshDimension()!=1 || mesh1D->getSpaceDimension()!=2)
+ throw INTERP_KERNEL::Exception("MEDCouplingUMesh::Intersect2DMeshWith1DLine works with mesh2D with spacedim=meshdim=2 and mesh1D with meshdim=1 spaceDim=2 !");
+ // Step 1: compute all edge intersections (new nodes)
+ std::vector< std::vector<int> > intersectEdge1, colinear2, subDiv2;
+ std::vector<double> addCoo,addCoordsQuadratic; // coordinates of newly created nodes
+ INTERP_KERNEL::QUADRATIC_PLANAR::_precision=eps;
+ INTERP_KERNEL::QUADRATIC_PLANAR::_arc_detection_precision=eps;
+ //
+ // Build desc connectivity
+ DataArrayInt *desc1(DataArrayInt::New()),*descIndx1(DataArrayInt::New()),*revDesc1(DataArrayInt::New()),*revDescIndx1(DataArrayInt::New());
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> dd1(desc1),dd2(descIndx1),dd3(revDesc1),dd4(revDescIndx1);
+ MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh> m1Desc(mesh2D->buildDescendingConnectivity2(desc1,descIndx1,revDesc1,revDescIndx1));
+ std::map<int,int> mergedNodes;
+ Intersect1DMeshes(m1Desc,mesh1D,eps,intersectEdge1,colinear2,subDiv2,addCoo,mergedNodes);
+ // use mergeNodes to fix intersectEdge1
+ for(std::vector< std::vector<int> >::iterator it0=intersectEdge1.begin();it0!=intersectEdge1.end();it0++)
+ {
+ std::size_t n((*it0).size()/2);
+ int eltStart((*it0)[0]),eltEnd((*it0)[2*n-1]);
+ std::map<int,int>::const_iterator it1;
+ it1=mergedNodes.find(eltStart);
+ if(it1!=mergedNodes.end())
+ (*it0)[0]=(*it1).second;
+ it1=mergedNodes.find(eltEnd);
+ if(it1!=mergedNodes.end())
+ (*it0)[2*n-1]=(*it1).second;
+ }
+ //
+ MEDCouplingAutoRefCountObjectPtr<DataArrayDouble> addCooDa(DataArrayDouble::New());
+ addCooDa->useArray(&addCoo[0],false,C_DEALLOC,(int)addCoo.size()/2,2);
+ // Step 2: re-order newly created nodes according to the ordering found in m2
+ std::vector< std::vector<int> > intersectEdge2;
+ BuildIntersectEdges(m1Desc,mesh1D,addCoo,subDiv2,intersectEdge2);
+ subDiv2.clear();
+ //
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> idsInRet1Colinear,idsInDescMesh2DForIdsInRetColinear;
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> ret2(DataArrayInt::New()); ret2->alloc(0,1);
+ MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh> ret1(BuildMesh1DCutFrom(mesh1D,intersectEdge2,mesh2D->getCoords(),addCoo,mergedNodes,colinear2,intersectEdge1,
+ idsInRet1Colinear,idsInDescMesh2DForIdsInRetColinear));
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> ret3(DataArrayInt::New()); ret3->alloc(ret1->getNumberOfCells()*2,1); ret3->fillWithValue(-1); ret3->rearrange(2);
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> idsInRet1NotColinear(idsInRet1Colinear->buildComplement(ret1->getNumberOfCells()));
+ // deal with cells in mesh2D that are not cut but only some of their edges are
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> idsInDesc2DToBeRefined(idsInDescMesh2DForIdsInRetColinear->deepCpy());
+ idsInDesc2DToBeRefined->abs(); idsInDesc2DToBeRefined->applyLin(1,-1);
+ idsInDesc2DToBeRefined=idsInDesc2DToBeRefined->buildUnique();
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> out0s;//ids in mesh2D that are impacted by the fact that some edges of \a mesh1D are part of the edges of those cells
+ if(!idsInDesc2DToBeRefined->empty())
+ {
+ DataArrayInt *out0(0),*outi0(0);
+ MEDCouplingUMesh::ExtractFromIndexedArrays(idsInDesc2DToBeRefined->begin(),idsInDesc2DToBeRefined->end(),dd3,dd4,out0,outi0);
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> outi0s(outi0);
+ out0s=out0;
+ out0s=out0s->buildUnique();
+ out0s->sort(true);
+ }
+ //
+ MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh> ret1NonCol(static_cast<MEDCouplingUMesh *>(ret1->buildPartOfMySelf(idsInRet1NotColinear->begin(),idsInRet1NotColinear->end())));
+ MEDCouplingAutoRefCountObjectPtr<DataArrayDouble> baryRet1(ret1NonCol->getBarycenterAndOwner());
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> elts,eltsIndex;
+ mesh2D->getCellsContainingPoints(baryRet1->begin(),baryRet1->getNumberOfTuples(),eps,elts,eltsIndex);
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> eltsIndex2(eltsIndex->deltaShiftIndex());
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> eltsIndex3(eltsIndex2->getIdsEqual(1));
+ if(eltsIndex2->count(0)+eltsIndex3->getNumberOfTuples()!=ret1NonCol->getNumberOfCells())
+ throw INTERP_KERNEL::Exception("Intersect2DMeshWith1DLine : internal error 1 !");
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> cellsToBeModified(elts->buildUnique());
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> untouchedCells(cellsToBeModified->buildComplement(mesh2D->getNumberOfCells()));
+ if((DataArrayInt *)out0s)
+ untouchedCells=untouchedCells->buildSubstraction(out0s);//if some edges in ret1 are colinear to descending mesh of mesh2D remove cells from untouched one
+ std::vector< MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh> > outMesh2DSplit;
+ if(!untouchedCells->empty())
+ {
+ outMesh2DSplit.push_back(static_cast<MEDCouplingUMesh *>(mesh2D->buildPartOfMySelf(untouchedCells->begin(),untouchedCells->end())));
+ outMesh2DSplit.back()->setCoords(ret1->getCoords());
+ ret2->pushBackValsSilent(untouchedCells->begin(),untouchedCells->end());
+ }
+ if((DataArrayInt *)out0s)
+ {// here dealing with cells in out0s but not in cellsToBeModified
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> fewModifiedCells(out0s->buildSubstraction(cellsToBeModified));
+ const int *rdptr(dd3->begin()),*rdiptr(dd4->begin()),*dptr(dd1->begin()),*diptr(dd2->begin());
+ for(const int *it=fewModifiedCells->begin();it!=fewModifiedCells->end();it++)
+ {
+ outMesh2DSplit.push_back(BuildRefined2DCell(ret1->getCoords(),dptr+diptr[*it],dptr+diptr[*it+1],intersectEdge1));
+ }
+ int offset(ret2->getNumberOfTuples());
+ ret2->pushBackValsSilent(fewModifiedCells->begin(),fewModifiedCells->end());
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> partOfRet3(DataArrayInt::New()); partOfRet3->alloc(2*idsInRet1Colinear->getNumberOfTuples(),1);
+ partOfRet3->fillWithValue(-1); partOfRet3->rearrange(2);
+ int kk(0),*ret3ptr(partOfRet3->getPointer());
+ for(const int *it=idsInDescMesh2DForIdsInRetColinear->begin();it!=idsInDescMesh2DForIdsInRetColinear->end();it++,kk++)
+ {
+ int faceId(std::abs(*it)-1);
+ for(const int *it2=rdptr+rdiptr[faceId];it2!=rdptr+rdiptr[faceId+1];it2++)
+ {
+ int tmp(fewModifiedCells->locateValue(*it2));
+ if(tmp!=-1)
+ {
+ if(std::find(dptr+diptr[*it2],dptr+diptr[*it2+1],-(*it))!=dptr+diptr[*it2+1])
+ ret3ptr[2*kk]=tmp+offset;
+ if(std::find(dptr+diptr[*it2],dptr+diptr[*it2+1],(*it))!=dptr+diptr[*it2+1])
+ ret3ptr[2*kk+1]=tmp+offset;
+ }
+ else
+ throw INTERP_KERNEL::Exception("MEDCouplingUMesh::Intersect2DMeshWith1DLine : internal error 1 !");
+ }
+ }
+ ret3->setPartOfValues3(partOfRet3,idsInRet1Colinear->begin(),idsInRet1Colinear->end(),0,2,1,true);
+ }
+ for(const int *it=cellsToBeModified->begin();it!=cellsToBeModified->end();it++)
+ {
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> idsNonColPerCell(elts->getIdsEqual(*it));
+ idsNonColPerCell->transformWithIndArr(eltsIndex3->begin(),eltsIndex3->end());
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> idsNonColPerCell2(idsInRet1NotColinear->selectByTupleId(idsNonColPerCell->begin(),idsNonColPerCell->end()));
+ MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh> partOfMesh1CuttingCur2DCell(static_cast<MEDCouplingUMesh *>(ret1NonCol->buildPartOfMySelf(idsNonColPerCell->begin(),idsNonColPerCell->end())));
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> partOfRet3;
+ MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh> splitOfOneCell(BuildMesh2DCutFrom(eps,*it,m1Desc,partOfMesh1CuttingCur2DCell,dd1->begin()+dd2->getIJ(*it,0),dd1->begin()+dd2->getIJ((*it)+1,0),intersectEdge1,ret2->getNumberOfTuples(),partOfRet3));
+ ret3->setPartOfValues3(partOfRet3,idsNonColPerCell2->begin(),idsNonColPerCell2->end(),0,2,1,true);
+ outMesh2DSplit.push_back(splitOfOneCell);
+ for(int i=0;i<splitOfOneCell->getNumberOfCells();i++)
+ ret2->pushBackSilent(*it);
+ }
+ //
+ std::size_t nbOfMeshes(outMesh2DSplit.size());
+ std::vector<const MEDCouplingUMesh *> tmp(nbOfMeshes);
+ for(std::size_t i=0;i<nbOfMeshes;i++)
+ tmp[i]=outMesh2DSplit[i];
+ //
+ ret1->getCoords()->setInfoOnComponents(compNames);
+ //
+ splitMesh1D=ret1.retn();
+ splitMesh2D=MEDCouplingUMesh::MergeUMeshesOnSameCoords(tmp);
+ cellIdInMesh2D=ret2.retn();
+ cellIdInMesh1D=ret3.retn();
+}
+
+/**
+ * Private. Third step of the partitioning algorithm (Intersect2DMeshes): reconstruct full 2D cells from the
+ * (newly created) nodes corresponding to the edge intersections.
+ * Output params:
+ * @param[out] cr, crI connectivity of the resulting mesh
+ * @param[out] cNb1, cNb2 correspondance arrays giving for the merged mesh the initial cells IDs in m1 / m2
+ * TODO: describe input parameters
+ */
+void MEDCouplingUMesh::BuildIntersecting2DCellsFromEdges(double eps, const MEDCouplingUMesh *m1, const int *desc1, const int *descIndx1,
+ const std::vector<std::vector<int> >& intesctEdges1, const std::vector< std::vector<int> >& colinear2,
+ const MEDCouplingUMesh *m2, const int *desc2, const int *descIndx2, const std::vector<std::vector<int> >& intesctEdges2,
+ const std::vector<double>& addCoords,
+ std::vector<double>& addCoordsQuadratic, std::vector<int>& cr, std::vector<int>& crI, std::vector<int>& cNb1, std::vector<int>& cNb2)
+{
+ static const int SPACEDIM=2;
+ const double *coo1(m1->getCoords()->getConstPointer());
+ const int *conn1(m1->getNodalConnectivity()->getConstPointer()),*connI1(m1->getNodalConnectivityIndex()->getConstPointer());
+ int offset1(m1->getNumberOfNodes());
+ const double *coo2(m2->getCoords()->getConstPointer());
+ const int *conn2(m2->getNodalConnectivity()->getConstPointer()),*connI2(m2->getNodalConnectivityIndex()->getConstPointer());
+ int offset2(offset1+m2->getNumberOfNodes());
+ int offset3(offset2+((int)addCoords.size())/2);
+ MEDCouplingAutoRefCountObjectPtr<DataArrayDouble> bbox1Arr(m1->getBoundingBoxForBBTree()),bbox2Arr(m2->getBoundingBoxForBBTree());
+ const double *bbox1(bbox1Arr->begin()),*bbox2(bbox2Arr->begin());
+ // Here a BBTree on 2D-cells, not on segments:
+ BBTree<SPACEDIM,int> myTree(bbox2,0,0,m2->getNumberOfCells(),eps);
+ int ncell1(m1->getNumberOfCells());
+ crI.push_back(0);
+ for(int i=0;i<ncell1;i++)
+ {
+ std::vector<int> candidates2;
+ myTree.getIntersectingElems(bbox1+i*2*SPACEDIM,candidates2);
+ std::map<INTERP_KERNEL::Node *,int> mapp;
+ std::map<int,INTERP_KERNEL::Node *> mappRev;
+ INTERP_KERNEL::QuadraticPolygon pol1;
+ INTERP_KERNEL::NormalizedCellType typ=(INTERP_KERNEL::NormalizedCellType)conn1[connI1[i]];
+ const INTERP_KERNEL::CellModel& cm=INTERP_KERNEL::CellModel::GetCellModel(typ);
+ // Populate mapp and mappRev with nodes from the current cell (i) from mesh1 - this also builds the Node* objects:
+ MEDCouplingUMeshBuildQPFromMesh3(coo1,offset1,coo2,offset2,addCoords,desc1+descIndx1[i],desc1+descIndx1[i+1],intesctEdges1,/* output */mapp,mappRev);
+ // pol1 is the full cell from mesh2, in QP format, with all the additional intersecting nodes.
+ pol1.buildFromCrudeDataArray(mappRev,cm.isQuadratic(),conn1+connI1[i]+1,coo1,
+ desc1+descIndx1[i],desc1+descIndx1[i+1],intesctEdges1);
+ //
+ std::set<INTERP_KERNEL::Edge *> edges1;// store all edges of pol1 that are NOT consumed by intersect cells. If any after iteration over candidates2 -> a part of pol1 should appear in result
+ std::set<INTERP_KERNEL::Edge *> edgesBoundary2;// store all edges that are on boundary of (pol2 intersect pol1) minus edges on pol1.
+ INTERP_KERNEL::IteratorOnComposedEdge it1(&pol1);
+ for(it1.first();!it1.finished();it1.next())
+ edges1.insert(it1.current()->getPtr());
+ //
+ std::map<int,std::vector<INTERP_KERNEL::ElementaryEdge *> > edgesIn2ForShare; // common edges
+ std::vector<INTERP_KERNEL::QuadraticPolygon> pol2s(candidates2.size());
+ int ii=0;
+ for(std::vector<int>::const_iterator it2=candidates2.begin();it2!=candidates2.end();it2++,ii++)
+ {
+ INTERP_KERNEL::NormalizedCellType typ2=(INTERP_KERNEL::NormalizedCellType)conn2[connI2[*it2]];
+ const INTERP_KERNEL::CellModel& cm2=INTERP_KERNEL::CellModel::GetCellModel(typ2);
+ // Complete mapping with elements coming from the current cell it2 in mesh2:
+ MEDCouplingUMeshBuildQPFromMesh3(coo1,offset1,coo2,offset2,addCoords,desc2+descIndx2[*it2],desc2+descIndx2[*it2+1],intesctEdges2,/* output */mapp,mappRev);
+ // pol2 is the new QP in the final merged result.
+ pol2s[ii].buildFromCrudeDataArray2(mappRev,cm2.isQuadratic(),conn2+connI2[*it2]+1,coo2,desc2+descIndx2[*it2],desc2+descIndx2[*it2+1],intesctEdges2,
+ pol1,desc1+descIndx1[i],desc1+descIndx1[i+1],intesctEdges1,colinear2, /* output */ edgesIn2ForShare);
+ }
+ ii=0;
+ for(std::vector<int>::const_iterator it2=candidates2.begin();it2!=candidates2.end();it2++,ii++)
+ {
+ INTERP_KERNEL::ComposedEdge::InitLocationsWithOther(pol1,pol2s[ii]);
+ pol2s[ii].updateLocOfEdgeFromCrudeDataArray2(desc2+descIndx2[*it2],desc2+descIndx2[*it2+1],intesctEdges2,pol1,desc1+descIndx1[i],desc1+descIndx1[i+1],intesctEdges1,colinear2);
+ //MEDCouplingUMeshAssignOnLoc(pol1,pol2,desc1+descIndx1[i],desc1+descIndx1[i+1],intesctEdges1,desc2+descIndx2[*it2],desc2+descIndx2[*it2+1],intesctEdges2,colinear2);
+ pol1.buildPartitionsAbs(pol2s[ii],edges1,edgesBoundary2,mapp,i,*it2,offset3,addCoordsQuadratic,cr,crI,cNb1,cNb2);
+ }
+ // Deals with remaining (non-consumed) edges from m1: these are the edges that were never touched
+ // by m2 but that we still want to keep in the final result.
+ if(!edges1.empty())
+ {
+ try
+ {
+ INTERP_KERNEL::QuadraticPolygon::ComputeResidual(pol1,edges1,edgesBoundary2,mapp,offset3,i,addCoordsQuadratic,cr,crI,cNb1,cNb2);
+ }
+ catch(INTERP_KERNEL::Exception& e)
+ {
+ std::ostringstream oss; oss << "Error when computing residual of cell #" << i << " in source/m1 mesh ! Maybe the neighbours of this cell in mesh are not well connected !\n" << "The deep reason is the following : " << e.what();
+ throw INTERP_KERNEL::Exception(oss.str().c_str());
+ }
+ }
+ for(std::map<int,INTERP_KERNEL::Node *>::const_iterator it=mappRev.begin();it!=mappRev.end();it++)
+ (*it).second->decrRef();
+ }
+}
+
+/**
+ * Provides a renumbering of the cells of this (which has to be a piecewise connected 1D line), so that
+ * the segments of the line are indexed in consecutive order (i.e. cells \a i and \a i+1 are neighbors).
+ * This doesn't modify the mesh.
+ * The caller is to deal with the resulting DataArrayInt.
+ * \throw If the coordinate array is not set.
+ * \throw If the nodal connectivity of the cells is not defined.
+ * \throw If m1 is not a mesh of dimension 2, or m1 is not a mesh of dimension 1
+ * \throw If m2 is not a (piecewise) line (i.e. if a point has more than 2 adjacent segments)
+ */
+DataArrayInt *MEDCouplingUMesh::orderConsecutiveCells1D() const
+{
+ checkFullyDefined();
+ if(getMeshDimension()!=1 || getSpaceDimension()!=2)
+ throw INTERP_KERNEL::Exception("MEDCouplingUMesh::orderConsecutiveCells1D works on unstructured mesh with (meshdim, spacedim) = (1,2)!");
+
+ // Check that this is a line (and not a more complex 1D mesh) - each point is used at most by 2 segments:
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> _d(DataArrayInt::New()),_dI(DataArrayInt::New());
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> _rD(DataArrayInt::New()),_rDI(DataArrayInt::New());
+ MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh> m_points(buildDescendingConnectivity(_d, _dI, _rD, _rDI));
+ const int *d(_d->getConstPointer()), *dI(_dI->getConstPointer());
+ const int *rD(_rD->getConstPointer()), *rDI(_rDI->getConstPointer());
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> _dsi(_rDI->deltaShiftIndex());
+ const int * dsi(_dsi->getConstPointer());
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> dsii = _dsi->getIdsNotInRange(0,3);
+ m_points=0;
+ if (dsii->getNumberOfTuples())
+ throw INTERP_KERNEL::Exception("MEDCouplingUMesh::orderConsecutiveCells1D only work with a mesh being a (piecewise) connected line!");
+
+ int nc(getNumberOfCells());
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> result(DataArrayInt::New());
+ result->alloc(nc,1);
+
+ // set of edges not used so far
+ std::set<int> edgeSet;
+ for (int i=0; i<nc; edgeSet.insert(i), i++);
+
+ int startSeg=0;
+ int newIdx=0;
+ // while we have points with only one neighbor segments
+ do
+ {
+ std::list<int> linePiece;
+ // fills a list of consecutive segment linked to startSeg. This can go forward or backward.
+ for (int direction=0;direction<2;direction++) // direction=0 --> forward, direction=1 --> backward
+ {
+ // Fill the list forward (resp. backward) from the start segment:
+ int activeSeg = startSeg;
+ int prevPointId = -20;
+ int ptId;
+ while (!edgeSet.empty())
+ {
+ if (!(direction == 1 && prevPointId==-20)) // prevent adding twice startSeg
+ {
+ if (direction==0)
+ linePiece.push_back(activeSeg);
+ else
+ linePiece.push_front(activeSeg);
+ edgeSet.erase(activeSeg);
+ }
+
+ int ptId1 = d[dI[activeSeg]], ptId2 = d[dI[activeSeg]+1];
+ ptId = direction ? (ptId1 == prevPointId ? ptId2 : ptId1) : (ptId2 == prevPointId ? ptId1 : ptId2);
+ if (dsi[ptId] == 1) // hitting the end of the line
+ break;
+ prevPointId = ptId;
+ int seg1 = rD[rDI[ptId]], seg2 = rD[rDI[ptId]+1];
+ activeSeg = (seg1 == activeSeg) ? seg2 : seg1;
+ }
+ }
+ // Done, save final piece into DA:
+ std::copy(linePiece.begin(), linePiece.end(), result->getPointer()+newIdx);
+ newIdx += linePiece.size();
+
+ // identify next valid start segment (one which is not consumed)
+ if(!edgeSet.empty())
+ startSeg = *(edgeSet.begin());
+ }
+ while (!edgeSet.empty());
+ return result.retn();
+}
+
+/// @cond INTERNAL
+
+void IKGeo2DInternalMapper2(INTERP_KERNEL::Node *n, const std::map<MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Node>,int>& m, int forbVal0, int forbVal1, std::vector<int>& isect)
+{
+ MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Node> nTmp(n); nTmp->incrRef();
+ std::map<MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Node>,int>::const_iterator it(m.find(nTmp));
+ if(it==m.end())
+ throw INTERP_KERNEL::Exception("Internal error in remapping !");
+ int v((*it).second);
+ if(v==forbVal0 || v==forbVal1)
+ return ;
+ if(std::find(isect.begin(),isect.end(),v)==isect.end())
+ isect.push_back(v);
+}
+
+bool IKGeo2DInternalMapper(const INTERP_KERNEL::ComposedEdge& c, const std::map<MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Node>,int>& m, int forbVal0, int forbVal1, std::vector<int>& isect)
+{
+ int sz(c.size());
+ if(sz<=1)
+ return false;
+ bool presenceOfOn(false);
+ for(int i=0;i<sz;i++)
+ {
+ INTERP_KERNEL::ElementaryEdge *e(c[i]);
+ if(e->getLoc()!=INTERP_KERNEL::FULL_ON_1)
+ continue ;
+ IKGeo2DInternalMapper2(e->getStartNode(),m,forbVal0,forbVal1,isect);
+ IKGeo2DInternalMapper2(e->getEndNode(),m,forbVal0,forbVal1,isect);
+ }
+ return presenceOfOn;
+}
+
+/// @endcond
+
+/**
+ * This method split some of edges of 2D cells in \a this. The edges to be split are specified in \a subNodesInSeg and in \a subNodesInSegI using index storage mode.
+ * To do the work this method can optionally needs information about middle of subedges for quadratic cases if a minimal creation of new nodes is wanted.
+ * So this method try to reduce at most the number of new nodes. The only case that can lead this method to add nodes if a SEG3 is split without information of middle.
+ * \b WARNING : is returned value is different from 0 a call to MEDCouplingUMesh::mergeNodes is necessary to avoid to have a non conform mesh.
+ *
+ * \return int - the number of new nodes created (in most of cases 0).
+ *
+ * \throw If \a this is not coherent.
+ * \throw If \a this has not spaceDim equal to 2.
+ * \throw If \a this has not meshDim equal to 2.
+ * \throw If some subcells needed to be split are orphan.
+ * \sa MEDCouplingUMesh::conformize2D
+ */
+int MEDCouplingUMesh::split2DCells(const DataArrayInt *desc, const DataArrayInt *descI, const DataArrayInt *subNodesInSeg, const DataArrayInt *subNodesInSegI, const DataArrayInt *midOpt, const DataArrayInt *midOptI)
+{
+ if(!desc || !descI || !subNodesInSeg || !subNodesInSegI)
+ throw INTERP_KERNEL::Exception("MEDCouplingUMesh::split2DCells : the 4 first arrays must be not null !");
+ desc->checkAllocated(); descI->checkAllocated(); subNodesInSeg->checkAllocated(); subNodesInSegI->checkAllocated();
+ if(getSpaceDimension()!=2 || getMeshDimension()!=2)
+ throw INTERP_KERNEL::Exception("MEDCouplingUMesh::split2DCells : This method only works for meshes with spaceDim=2 and meshDim=2 !");
+ if(midOpt==0 && midOptI==0)
+ {
+ split2DCellsLinear(desc,descI,subNodesInSeg,subNodesInSegI);
+ return 0;
+ }
+ else if(midOpt!=0 && midOptI!=0)
+ return split2DCellsQuadratic(desc,descI,subNodesInSeg,subNodesInSegI,midOpt,midOptI);
+ else
+ throw INTERP_KERNEL::Exception("MEDCouplingUMesh::split2DCells : middle parameters must be set to null for all or not null for all.");
+}
+
+/*!
+ * \b WARNING this method is \b potentially \b non \b const (if returned array is empty).
+ * \b WARNING this method lead to have a non geometric type sorted mesh (for MED file users) !
+ * This method performs a conformization of \b this. So if a edge in \a this can be split into entire edges in \a this this method
+ * will suppress such edges to use sub edges in \a this. So this method does not add nodes in \a this if merged edges are both linear (INTERP_KERNEL::NORM_SEG2).
+ * In the other cases new nodes can be created. If any are created, they will be appended at the end of the coordinates object before the invokation of this method.
+ *
+ * Whatever the returned value, this method does not alter the order of cells in \a this neither the orientation of cells.
+ * The modified cells, if any, are systematically declared as NORM_POLYGON or NORM_QPOLYG depending on the initial quadraticness of geometric type.
+ *
+ * This method expects that \b this has a meshDim equal 2 and spaceDim equal to 2 too.
+ * This method expects that all nodes in \a this are not closer than \a eps.
+ * If it is not the case you can invoke MEDCouplingUMesh::mergeNodes before calling this method.
+ *
+ * \param [in] eps the relative error to detect merged edges.
+ * \return DataArrayInt * - The list of cellIds in \a this that have been subdivided. If empty, nothing changed in \a this (as if it were a const method). The array is a newly allocated array
+ * that the user is expected to deal with.
+ *
+ * \throw If \a this is not coherent.
+ * \throw If \a this has not spaceDim equal to 2.
+ * \throw If \a this has not meshDim equal to 2.
+ * \sa MEDCouplingUMesh::mergeNodes, MEDCouplingUMesh::split2DCells
+ */
+DataArrayInt *MEDCouplingUMesh::conformize2D(double eps)
+{
+ static const int SPACEDIM=2;
+ checkCoherency();
+ if(getSpaceDimension()!=2 || getMeshDimension()!=2)
+ throw INTERP_KERNEL::Exception("MEDCouplingUMesh::conformize2D : This method only works for meshes with spaceDim=2 and meshDim=2 !");
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> desc1(DataArrayInt::New()),descIndx1(DataArrayInt::New()),revDesc1(DataArrayInt::New()),revDescIndx1(DataArrayInt::New());
+ MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh> mDesc(buildDescendingConnectivity(desc1,descIndx1,revDesc1,revDescIndx1));
+ const int *c(mDesc->getNodalConnectivity()->getConstPointer()),*ci(mDesc->getNodalConnectivityIndex()->getConstPointer()),*rd(revDesc1->getConstPointer()),*rdi(revDescIndx1->getConstPointer());
+ MEDCouplingAutoRefCountObjectPtr<DataArrayDouble> bboxArr(mDesc->getBoundingBoxForBBTree());
+ const double *bbox(bboxArr->begin()),*coords(getCoords()->begin());
+ int nCell(getNumberOfCells()),nDescCell(mDesc->getNumberOfCells());
+ std::vector< std::vector<int> > intersectEdge(nDescCell),overlapEdge(nDescCell);
+ std::vector<double> addCoo;
+ BBTree<SPACEDIM,int> myTree(bbox,0,0,nDescCell,-eps);
+ INTERP_KERNEL::QUADRATIC_PLANAR::_precision=eps;
+ INTERP_KERNEL::QUADRATIC_PLANAR::_arc_detection_precision=eps;
+ for(int i=0;i<nDescCell;i++)
+ {
+ std::vector<int> candidates;
+ myTree.getIntersectingElems(bbox+i*2*SPACEDIM,candidates);
+ for(std::vector<int>::const_iterator it=candidates.begin();it!=candidates.end();it++)
+ if(*it>i)
+ {
+ std::map<MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Node>,int> m;
+ INTERP_KERNEL::Edge *e1(MEDCouplingUMeshBuildQPFromEdge2((INTERP_KERNEL::NormalizedCellType)c[ci[i]],c+ci[i]+1,coords,m)),
+ *e2(MEDCouplingUMeshBuildQPFromEdge2((INTERP_KERNEL::NormalizedCellType)c[ci[*it]],c+ci[*it]+1,coords,m));
+ INTERP_KERNEL::MergePoints merge;
+ INTERP_KERNEL::QuadraticPolygon c1,c2;
+ e1->intersectWith(e2,merge,c1,c2);
+ e1->decrRef(); e2->decrRef();
+ if(IKGeo2DInternalMapper(c1,m,c[ci[i]+1],c[ci[i]+2],intersectEdge[i]))
+ overlapEdge[i].push_back(*it);
+ if(IKGeo2DInternalMapper(c2,m,c[ci[*it]+1],c[ci[*it]+2],intersectEdge[*it]))
+ overlapEdge[*it].push_back(i);
+ }
+ }
+ // splitting done. sort intersect point in intersectEdge.
+ std::vector< std::vector<int> > middle(nDescCell);
+ int nbOf2DCellsToBeSplit(0);
+ bool middleNeedsToBeUsed(false);
+ std::vector<bool> cells2DToTreat(nDescCell,false);
+ for(int i=0;i<nDescCell;i++)
+ {
+ std::vector<int>& isect(intersectEdge[i]);
+ int sz((int)isect.size());
+ if(sz>1)
+ {
+ std::map<MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Node>,int> m;
+ INTERP_KERNEL::Edge *e(MEDCouplingUMeshBuildQPFromEdge2((INTERP_KERNEL::NormalizedCellType)c[ci[i]],c+ci[i]+1,coords,m));
+ e->sortSubNodesAbs(coords,isect);
+ e->decrRef();
+ }
+ if(sz!=0)
+ {
+ int idx0(rdi[i]),idx1(rdi[i+1]);
+ if(idx1-idx0!=1)
+ throw INTERP_KERNEL::Exception("MEDCouplingUMesh::conformize2D : internal error #0 !");
+ if(!cells2DToTreat[rd[idx0]])
+ {
+ cells2DToTreat[rd[idx0]]=true;
+ nbOf2DCellsToBeSplit++;
+ }
+ // try to reuse at most eventual 'middle' of SEG3
+ std::vector<int>& mid(middle[i]);
+ mid.resize(sz+1,-1);
+ if((INTERP_KERNEL::NormalizedCellType)c[ci[i]]==INTERP_KERNEL::NORM_SEG3)
+ {
+ middleNeedsToBeUsed=true;
+ const std::vector<int>& candidates(overlapEdge[i]);
+ std::vector<int> trueCandidates;
+ for(std::vector<int>::const_iterator itc=candidates.begin();itc!=candidates.end();itc++)
+ if((INTERP_KERNEL::NormalizedCellType)c[ci[*itc]]==INTERP_KERNEL::NORM_SEG3)
+ trueCandidates.push_back(*itc);
+ int stNode(c[ci[i]+1]),endNode(isect[0]);
+ for(int j=0;j<sz+1;j++)
+ {
+ for(std::vector<int>::const_iterator itc=trueCandidates.begin();itc!=trueCandidates.end();itc++)
+ {
+ int tmpSt(c[ci[*itc]+1]),tmpEnd(c[ci[*itc]+2]);
+ if((tmpSt==stNode && tmpEnd==endNode) || (tmpSt==endNode && tmpEnd==stNode))
+ { mid[j]=*itc; break; }
+ }
+ stNode=endNode;
+ endNode=j<sz-1?isect[j+1]:c[ci[i]+2];
+ }
+ }
+ }
+ }
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> ret(DataArrayInt::New()),notRet(DataArrayInt::New()); ret->alloc(nbOf2DCellsToBeSplit,1);
+ if(nbOf2DCellsToBeSplit==0)
+ return ret.retn();
+ //
+ int *retPtr(ret->getPointer());
+ for(int i=0;i<nCell;i++)
+ if(cells2DToTreat[i])
+ *retPtr++=i;
+ //
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> mSafe,nSafe,oSafe,pSafe,qSafe,rSafe;
+ DataArrayInt *m(0),*n(0),*o(0),*p(0),*q(0),*r(0);
+ MEDCouplingUMesh::ExtractFromIndexedArrays(ret->begin(),ret->end(),desc1,descIndx1,m,n); mSafe=m; nSafe=n;
+ DataArrayInt::PutIntoToSkylineFrmt(intersectEdge,o,p); oSafe=o; pSafe=p;
+ if(middleNeedsToBeUsed)
+ { DataArrayInt::PutIntoToSkylineFrmt(middle,q,r); qSafe=q; rSafe=r; }
+ MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh> modif(static_cast<MEDCouplingUMesh *>(buildPartOfMySelf(ret->begin(),ret->end(),true)));
+ int nbOfNodesCreated(modif->split2DCells(mSafe,nSafe,oSafe,pSafe,qSafe,rSafe));
+ setCoords(modif->getCoords());//if nbOfNodesCreated==0 modif and this have the same coordinates pointer so this line has no effect. But for quadratic cases this line is important.
+ setPartOfMySelf(ret->begin(),ret->end(),*modif);
+ {
+ bool areNodesMerged; int newNbOfNodes;
+ if(nbOfNodesCreated!=0)
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> tmp(mergeNodes(eps,areNodesMerged,newNbOfNodes));
+ }
+ return ret.retn();
+}
+
+/*!
+ * This non const method works on 2D mesh. This method scans every cell in \a this and look if each edge constituting this cell is not mergeable with neighbors edges of that cell.
+ * If yes, the cell is "repaired" to minimize at most its number of edges. So this method do not change the overall shape of cells in \a this (with eps precision).
+ * This method do not take care of shared edges between cells, so this method can lead to a non conform mesh (\a this). If a conform mesh is required you're expected
+ * to invoke MEDCouplingUMesh::mergeNodes and MEDCouplingUMesh::conformize2D right after this call.
+ * This method works on any 2D geometric types of cell (even static one). If a cell is touched its type becomes dynamic automaticaly. For 2D "repaired" quadratic cells
+ * new nodes for center of merged edges is are systematically created and appended at the end of the previously existing nodes.
+ *
+ * If the returned array is empty it means that nothing has changed in \a this (as if it were a const method). If the array is not empty the connectivity of \a this is modified
+ * using new instance, idem for coordinates.
+ *
+ * If \a this is constituted by only linear 2D cells, this method is close to the computation of the convex hull of each cells in \a this.
+ *
+ * \return DataArrayInt * - The list of cellIds in \a this that have at least one edge colinearized.
+ *
+ * \throw If \a this is not coherent.
+ * \throw If \a this has not spaceDim equal to 2.
+ * \throw If \a this has not meshDim equal to 2.
+ *
+ * \sa MEDCouplingUMesh::conformize2D, MEDCouplingUMesh::mergeNodes, MEDCouplingUMesh::convexEnvelop2D.
+ */
+DataArrayInt *MEDCouplingUMesh::colinearize2D(double eps)
+{
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> ret(DataArrayInt::New()); ret->alloc(0,1);
+ checkCoherency();
+ if(getSpaceDimension()!=2 || getMeshDimension()!=2)
+ throw INTERP_KERNEL::Exception("MEDCouplingUMesh::colinearize2D : This method only works for meshes with spaceDim=2 and meshDim=2 !");
+ INTERP_KERNEL::QUADRATIC_PLANAR::_arc_detection_precision=eps;
+ INTERP_KERNEL::QUADRATIC_PLANAR::_precision=eps;
+ int nbOfCells(getNumberOfCells()),nbOfNodes(getNumberOfNodes());
+ const int *cptr(_nodal_connec->begin()),*ciptr(_nodal_connec_index->begin());
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> newc(DataArrayInt::New()),newci(DataArrayInt::New()); newci->alloc(nbOfCells+1,1); newc->alloc(0,1); newci->setIJ(0,0,0);
+ MEDCouplingAutoRefCountObjectPtr<DataArrayDouble> appendedCoords(DataArrayDouble::New()); appendedCoords->alloc(0,1);//1 not 2 it is not a bug.
+ const double *coords(_coords->begin());
+ int *newciptr(newci->getPointer());
+ for(int i=0;i<nbOfCells;i++,newciptr++,ciptr++)
+ {
+ if(Colinearize2DCell(coords,cptr+ciptr[0],cptr+ciptr[1],nbOfNodes,newc,appendedCoords))
+ ret->pushBackSilent(i);
+ newciptr[1]=newc->getNumberOfTuples();
+ }
+ //
+ if(ret->empty())
+ return ret.retn();
+ if(!appendedCoords->empty())
+ {
+ appendedCoords->rearrange(2);
+ MEDCouplingAutoRefCountObjectPtr<DataArrayDouble> newCoords(DataArrayDouble::Aggregate(getCoords(),appendedCoords));//treat info on components
+ //non const part
+ setCoords(newCoords);
+ }
+ //non const part
+ setConnectivity(newc,newci,true);
+ return ret.retn();
+}
+
+/*!
+ * \param [out] intersectEdge1 - for each cell in \a m1Desc returns the result of the split. The result is given using pair of int given resp start and stop.
+ * So for all edge \a i in \a m1Desc \a intersectEdge1[i] is of length 2*n where n is the number of sub edges.
+ * And for each j in [1,n) intersect[i][2*(j-1)+1]==intersect[i][2*j].
+ * \param [out] subDiv2 - for each cell in \a m2Desc returns nodes that split it using convention \a m1Desc first, then \a m2Desc, then addCoo
+ * \param [out] colinear2 - for each cell in \a m2Desc returns the edges in \a m1Desc that are colinear to it.
+ * \param [out] addCoo - nodes to be append at the end
+ * \param [out] mergedNodes - gives all pair of nodes of \a m2Desc that have same location than some nodes in \a m1Desc. key is id in \a m2Desc offseted and value is id in \a m1Desc.
+ */
+void MEDCouplingUMesh::Intersect1DMeshes(const MEDCouplingUMesh *m1Desc, const MEDCouplingUMesh *m2Desc, double eps,
+ std::vector< std::vector<int> >& intersectEdge1, std::vector< std::vector<int> >& colinear2, std::vector< std::vector<int> >& subDiv2, std::vector<double>& addCoo, std::map<int,int>& mergedNodes)
+{
+ static const int SPACEDIM=2;
+ INTERP_KERNEL::QUADRATIC_PLANAR::_precision=eps;
+ INTERP_KERNEL::QUADRATIC_PLANAR::_arc_detection_precision=eps;
+ const int *c1(m1Desc->getNodalConnectivity()->getConstPointer()),*ci1(m1Desc->getNodalConnectivityIndex()->getConstPointer());
+ // Build BB tree of all edges in the tool mesh (second mesh)
+ MEDCouplingAutoRefCountObjectPtr<DataArrayDouble> bbox1Arr(m1Desc->getBoundingBoxForBBTree()),bbox2Arr(m2Desc->getBoundingBoxForBBTree());
+ const double *bbox1(bbox1Arr->begin()),*bbox2(bbox2Arr->begin());
+ int nDescCell1(m1Desc->getNumberOfCells()),nDescCell2(m2Desc->getNumberOfCells());
+ intersectEdge1.resize(nDescCell1);
+ colinear2.resize(nDescCell2);
+ subDiv2.resize(nDescCell2);
+ BBTree<SPACEDIM,int> myTree(bbox2,0,0,m2Desc->getNumberOfCells(),-eps);
+
+ std::vector<int> candidates1(1);
+ int offset1(m1Desc->getNumberOfNodes());
+ int offset2(offset1+m2Desc->getNumberOfNodes());
+ for(int i=0;i<nDescCell1;i++) // for all edges in the first mesh
+ {
+ std::vector<int> candidates2; // edges of mesh2 candidate for intersection
+ myTree.getIntersectingElems(bbox1+i*2*SPACEDIM,candidates2);
+ if(!candidates2.empty()) // candidates2 holds edges from the second mesh potentially intersecting current edge i in mesh1
+ {
+ std::map<INTERP_KERNEL::Node *,int> map1,map2;
+ // pol2 is not necessarily a closed polygon: just a set of (quadratic) edges (same as candidates2) in the Geometric DS format
+ INTERP_KERNEL::QuadraticPolygon *pol2=MEDCouplingUMeshBuildQPFromMesh(m2Desc,candidates2,map2);
+ candidates1[0]=i;
+ INTERP_KERNEL::QuadraticPolygon *pol1=MEDCouplingUMeshBuildQPFromMesh(m1Desc,candidates1,map1);
+ // This following part is to avoid that some removed nodes (for example due to a merge between pol1 and pol2) are replaced by a newly created one
+ // This trick guarantees that Node * are discriminant (i.e. form a unique identifier)
+ std::set<INTERP_KERNEL::Node *> nodes;
+ pol1->getAllNodes(nodes); pol2->getAllNodes(nodes);
+ std::size_t szz(nodes.size());
+ std::vector< MEDCouplingAutoRefCountObjectPtr<INTERP_KERNEL::Node> > nodesSafe(szz);
+ std::set<INTERP_KERNEL::Node *>::const_iterator itt(nodes.begin());
+ for(std::size_t iii=0;iii<szz;iii++,itt++)
+ { (*itt)->incrRef(); nodesSafe[iii]=*itt; }
+ // end of protection
+ // Performs egde cutting:
+ pol1->splitAbs(*pol2,map1,map2,offset1,offset2,candidates2,intersectEdge1[i],i,colinear2,subDiv2,addCoo,mergedNodes);
+ delete pol2;
+ delete pol1;
+ }
+ else
+ intersectEdge1[i].insert(intersectEdge1[i].end(),c1+ci1[i]+1,c1+ci1[i+1]);
+ }
+}
+
+/*!
+ * This method is private and is the first step of Partition of 2D mesh (spaceDim==2 and meshDim==2).
+ * It builds the descending connectivity of the two meshes, and then using a binary tree
+ * it computes the edge intersections. This results in new points being created : they're stored in addCoo.
+ * Documentation about parameters colinear2 and subDiv2 can be found in method QuadraticPolygon::splitAbs().
+ */
+void MEDCouplingUMesh::IntersectDescending2DMeshes(const MEDCouplingUMesh *m1, const MEDCouplingUMesh *m2, double eps,
+ std::vector< std::vector<int> >& intersectEdge1, std::vector< std::vector<int> >& colinear2, std::vector< std::vector<int> >& subDiv2,
+ MEDCouplingUMesh *& m1Desc, DataArrayInt *&desc1, DataArrayInt *&descIndx1, DataArrayInt *&revDesc1, DataArrayInt *&revDescIndx1,
+ std::vector<double>& addCoo,
+ MEDCouplingUMesh *& m2Desc, DataArrayInt *&desc2, DataArrayInt *&descIndx2, DataArrayInt *&revDesc2, DataArrayInt *&revDescIndx2)
+{
+ // Build desc connectivity
+ desc1=DataArrayInt::New(); descIndx1=DataArrayInt::New(); revDesc1=DataArrayInt::New(); revDescIndx1=DataArrayInt::New();
+ desc2=DataArrayInt::New();
+ descIndx2=DataArrayInt::New();
+ revDesc2=DataArrayInt::New();
+ revDescIndx2=DataArrayInt::New();
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> dd1(desc1),dd2(descIndx1),dd3(revDesc1),dd4(revDescIndx1);
+ MEDCouplingAutoRefCountObjectPtr<DataArrayInt> dd5(desc2),dd6(descIndx2),dd7(revDesc2),dd8(revDescIndx2);
+ m1Desc=m1->buildDescendingConnectivity2(desc1,descIndx1,revDesc1,revDescIndx1);
+ m2Desc=m2->buildDescendingConnectivity2(desc2,descIndx2,revDesc2,revDescIndx2);
+ MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh> dd9(m1Desc),dd10(m2Desc);
+ std::map<int,int> notUsedMap;
+ Intersect1DMeshes(m1Desc,m2Desc,eps,intersectEdge1,colinear2,subDiv2,addCoo,notUsedMap);
+ m1Desc->incrRef(); desc1->incrRef(); descIndx1->incrRef(); revDesc1->incrRef(); revDescIndx1->incrRef();
+ m2Desc->incrRef(); desc2->incrRef(); descIndx2->incrRef(); revDesc2->incrRef(); revDescIndx2->incrRef();
+}
+
+/*!
+ * This method performs the 2nd step of Partition of 2D mesh.
+ * This method has 4 inputs :