Index: /issm/trunk/src/c/Bamgx/Mesh2.h
===================================================================
--- /issm/trunk/src/c/Bamgx/Mesh2.h	(revision 2944)
+++ /issm/trunk/src/c/Bamgx/Mesh2.h	(revision 2945)
@@ -123,5 +123,5 @@
 				Int4 color;
 				Vertex * to;// use in geometry Vertex to now the Mesh Vertex associed 
-				VertexOnGeom * on;     // if vint 8; // set with Triangles::SetVertexFieldOn()
+				VertexOnGeom * onGeometry;     // if vint 8; // set with Triangles::SetVertexFieldOn()
 				Vertex * onbv; // if vint == 16 on Background vertex Triangles::SetVertexFieldOnBTh()
 				VertexOnEdge * onbe;   // if vint == 32 on Background edge
@@ -187,5 +187,5 @@
 		Vertex * v[2];
 		Int4 ref;
-		GeometricalEdge * on;
+		GeometricalEdge* onGeometry;
 		Vertex & operator[](int i){return *v[i];};
 		Vertex * operator()(int i){return v[i];};
@@ -410,5 +410,4 @@
 			aa[a] |=8 ;
 		}
-
 
 		void SetUnMarkUnSwap(int a){ 
@@ -567,5 +566,5 @@
 		operator const Real8 & () const {return abscisse;}
 		int IsRequiredVertex(){ return this? (( abscisse<0 ? (gv?gv->Required():0):0 )) : 0;}
-		void SetOn(){mv->on=this;mv->vint=IsVertexOnGeom;}
+		void SetOn(){mv->onGeometry=this;mv->vint=IsVertexOnGeom;}
 		inline void Set(const Triangles &,Int4,Triangles &);
 
@@ -655,8 +654,4 @@
 		public:
 
-			enum TypeFileMesh {
-				AutoMesh=0,BDMesh=1,NOPOMesh=2,amMesh=3,am_fmtMesh=4,amdbaMesh=5,
-				ftqMesh=6,mshMesh=7};
-
 			int static counter; // to kown the number of mesh in memory 
 			Geometry & Gh;   // Geometry
@@ -689,11 +684,8 @@
 			VertexOnEdge *VertexOnBThEdge;
 
-
 			Int4 NbCrackedVertices;
-
 
 			Int4 NbCrackedEdges;
 			CrackedEdge *CrackedEdges;
-
 
 			R2 pmin,pmax; // extrema
@@ -711,5 +703,4 @@
 			Triangles(Int4 i);//:BTh(*this),Gh(*new Geometry()){PreInit(i);}
 
-
 			~Triangles(); 
 			Triangles(const char * ,Real8=-1) ;
@@ -730,90 +721,85 @@
 			Triangles(const Triangles &,const int *flag,const int *bb); // truncature
 
-						 void SetIntCoor(const char * from =0);
-
-						 // void  RandomInit();
-						 // void  CubeInit(int ,int);
-
-						 Real8 MinimalHmin() {return 2.0/coefIcoor;}
-						 Real8 MaximalHmax() {return Max(pmax.x-pmin.x,pmax.y-pmin.y);}
-						 const Vertex & operator[]  (Int4 i) const { return vertices[i];};
-						 Vertex & operator[](Int4 i) { return vertices[i];};
-						 const Triangle & operator()  (Int4 i) const { return triangles[i];};
-						 Triangle & operator()(Int4 i) { return triangles[i];};
-						 I2 toI2(const R2 & P) const {
-							 return  I2( (Icoor1) (coefIcoor*(P.x-pmin.x))
-										 ,(Icoor1) (coefIcoor*(P.y-pmin.y)) );}
-						 R2 toR2(const I2 & P) const {
-							 return  R2( (double) P.x/coefIcoor+pmin.x, (double) P.y/coefIcoor+pmin.y);}
-						 void Add( Vertex & s,Triangle * t,Icoor2 *  =0) ;
-						 void Insert();
-						 //  void InsertOld();
-						 void ForceBoundary();
-						 void Heap();
-						 void FindSubDomain(int OutSide=0);
-						 Int4  ConsRefTriangle(Int4 *) const;
-						 void ShowHistogram() const;
-						 void  ShowRegulaty() const; // Add FH avril 2007 
-						 //  void ConsLinkTriangle();
-
-						 void ReMakeTriangleContainingTheVertex();
-						 void UnMarkUnSwapTriangle();
-						 void SmoothMetric(Real8 raisonmax) ;
-						 void BoundAnisotropy(Real8 anisomax,double hminaniso= 1e-100) ;
-						 void MaxSubDivision(Real8 maxsubdiv);
-						 Edge** MakeGeometricalEdgeToEdge();
-						 void  SetVertexFieldOn();  
-						 void  SetVertexFieldOnBTh();
-						 Int4 SplitInternalEdgeWithBorderVertices();
-						 void MakeQuadrangles(double costheta);
-						 int SplitElement(int choice);
-						 void MakeQuadTree();
-						 void NewPoints( Triangles &,int KeepVertices =1 );
-						 Int4 InsertNewPoints(Int4 nbvold,Int4 & NbTSwap) ; 
-						 void NewPoints(int KeepVertices=1){ NewPoints(*this,KeepVertices);}
-						 void ReNumberingTheTriangleBySubDomain(bool justcompress=false);
-						 void ReNumberingVertex(Int4 * renu);
-						 void SmoothingVertex(int =3,Real8=0.3);
-						 Metric MetricAt (const R2 &) const;
-						 GeometricalEdge * ProjectOnCurve( Edge & AB, Vertex &  A, Vertex & B,Real8 theta,
-									 Vertex & R,VertexOnEdge & BR,VertexOnGeom & GR);
-
-						 Int4 Number(const Triangle & t) const  { return &t - triangles;}
-						 Int4 Number(const Triangle * t) const  { return t - triangles;}
-						 Int4 Number(const Vertex & t) const  { return &t - vertices;}
-						 Int4 Number(const Vertex * t) const  { return t - vertices;}
-						 Int4 Number(const Edge & t) const  { return &t - edges;}
-						 Int4 Number(const Edge * t) const  { return t - edges;}
-						 Int4 Number2(const Triangle * t) const  {
-							 //   if(t>= triangles && t < triangles + nbt )
-							 return t - triangles;
-							 //  else  return t - OutSidesTriangles;
-						 }
-
-						 Vertex * NearestVertex(Icoor1 i,Icoor1 j) ;
-						 Triangle * FindTriangleContening(const I2 & ,Icoor2 [3],Triangle *tstart=0) const;
-
-						 void ReadMesh(BamgMesh* bamgmesh, BamgOpts* bamgopts);
-						 void WriteMesh(BamgMesh* bamgmesh,BamgOpts* bamgopts);
-
-						 void ReadMetric(BamgOpts* bamgopts,const Real8 hmin,const Real8 hmax,const Real8 coef);
-						 void WriteMetric(BamgOpts* bamgopts);
-						 void IntersectConsMetric(BamgOpts* bamgopts);
-						 void BuildMetric0(BamgOpts* bamgopts);
-						 void BuildMetric1(BamgOpts* bamgopts);
-						 void IntersectGeomMetric(BamgOpts* bamgopts);
-
-
-						 int  isCracked() const {return NbCrackedVertices != 0;}
-						 int  Crack();
-						 int UnCrack();
-
-						 void ConsGeometry(Real8 =-1.0,int *equiedges=0); // construct a geometry if no geo 
-						 void FillHoleInMesh() ;
-						 int CrackMesh();
+			void SetIntCoor(const char * from =0);
+
+			Real8 MinimalHmin() {return 2.0/coefIcoor;}
+			Real8 MaximalHmax() {return Max(pmax.x-pmin.x,pmax.y-pmin.y);}
+			const Vertex & operator[]  (Int4 i) const { return vertices[i];};
+			Vertex & operator[](Int4 i) { return vertices[i];};
+			const Triangle & operator()  (Int4 i) const { return triangles[i];};
+			Triangle & operator()(Int4 i) { return triangles[i];};
+			I2 toI2(const R2 & P) const {
+				return  I2( (Icoor1) (coefIcoor*(P.x-pmin.x))
+							,(Icoor1) (coefIcoor*(P.y-pmin.y)) );}
+			R2 toR2(const I2 & P) const {
+				return  R2( (double) P.x/coefIcoor+pmin.x, (double) P.y/coefIcoor+pmin.y);
+			}
+			void Add( Vertex & s,Triangle * t,Icoor2 *  =0) ;
+			void Insert();
+			void ForceBoundary();
+			void Heap();
+			void FindSubDomain(int OutSide=0);
+			Int4 ConsRefTriangle(Int4 *) const;
+			void ShowHistogram() const;
+			void ShowRegulaty() const; // Add FH avril 2007 
+
+			void ReMakeTriangleContainingTheVertex();
+			void UnMarkUnSwapTriangle();
+			void SmoothMetric(Real8 raisonmax) ;
+			void BoundAnisotropy(Real8 anisomax,double hminaniso= 1e-100) ;
+			void MaxSubDivision(Real8 maxsubdiv);
+			Edge** MakeGeometricalEdgeToEdge();
+			void SetVertexFieldOn();  
+			void SetVertexFieldOnBTh();
+			Int4 SplitInternalEdgeWithBorderVertices();
+			void MakeQuadrangles(double costheta);
+			int SplitElement(int choice);
+			void MakeQuadTree();
+			void NewPoints( Triangles &,int KeepVertices =1 );
+			Int4 InsertNewPoints(Int4 nbvold,Int4 & NbTSwap) ; 
+			void NewPoints(int KeepVertices=1){ NewPoints(*this,KeepVertices);}
+			void ReNumberingTheTriangleBySubDomain(bool justcompress=false);
+			void ReNumberingVertex(Int4 * renu);
+			void SmoothingVertex(int =3,Real8=0.3);
+			Metric MetricAt (const R2 &) const;
+			GeometricalEdge * ProjectOnCurve( Edge & AB, Vertex &  A, Vertex & B,Real8 theta,
+						Vertex & R,VertexOnEdge & BR,VertexOnGeom & GR);
+
+			Int4 Number(const Triangle & t) const  { return &t - triangles;}
+			Int4 Number(const Triangle * t) const  { return t - triangles;}
+			Int4 Number(const Vertex & t) const  { return &t - vertices;}
+			Int4 Number(const Vertex * t) const  { return t - vertices;}
+			Int4 Number(const Edge & t) const  { return &t - edges;}
+			Int4 Number(const Edge * t) const  { return t - edges;}
+			Int4 Number2(const Triangle * t) const  {
+				//   if(t>= triangles && t < triangles + nbt )
+				return t - triangles;
+				//  else  return t - OutSidesTriangles;
+			}
+
+			Vertex * NearestVertex(Icoor1 i,Icoor1 j) ;
+			Triangle * FindTriangleContening(const I2 & ,Icoor2 [3],Triangle *tstart=0) const;
+
+			void ReadMesh(BamgMesh* bamgmesh, BamgOpts* bamgopts);
+			void WriteMesh(BamgMesh* bamgmesh,BamgOpts* bamgopts);
+
+			void ReadMetric(BamgOpts* bamgopts,const Real8 hmin,const Real8 hmax,const Real8 coef);
+			void WriteMetric(BamgOpts* bamgopts);
+			void IntersectConsMetric(BamgOpts* bamgopts);
+			void BuildMetric0(BamgOpts* bamgopts);
+			void BuildMetric1(BamgOpts* bamgopts);
+			void IntersectGeomMetric(BamgOpts* bamgopts);
+
+			int isCracked() const {return NbCrackedVertices != 0;}
+			int Crack();
+			int UnCrack();
+
+			void ConsGeometry(Real8 =-1.0,int *equiedges=0); // construct a geometry if no geo 
+			void FillHoleInMesh() ;
+			int  CrackMesh();
 		private:
-						 void GeomToTriangles1(Int4 nbvx,int KeepVertices=1);// the  real constructor mesh adaption
-						 void GeomToTriangles0(Int4 nbvx);// the  real constructor mesh generator
-						 void PreInit(Int4,char * =0 );
+			void GeomToTriangles1(Int4 nbvx,int KeepVertices=1);// the real constructor mesh adaption
+			void GeomToTriangles0(Int4 nbvx);                   // the real constructor mesh generator
+			void PreInit(Int4,char* =NULL );
 
 	};
@@ -978,6 +964,6 @@
 		v[0] = ThNew.vertices + Th.Number(v[0]);    
 		v[1] = ThNew.vertices + Th.Number(v[1]);
-		if (on) 
-		 on =  ThNew.Gh.edges+Th.Gh.Number(on);
+		if (onGeometry) 
+		 onGeometry =  ThNew.Gh.edges+Th.Gh.Number(onGeometry);
 		if (adj[0]) adj[0] =   ThNew.edges +   Th.Number(adj[0]);
 		if (adj[1]) adj[1] =   ThNew.edges +   Th.Number(adj[1]);
@@ -1080,5 +1066,5 @@
 	inline  void   Triangles::SetVertexFieldOn(){
 		for (Int4 i=0;i<nbv;i++) 
-		 vertices[i].on=0;
+		 vertices[i].onGeometry=0;
 		for (Int4 j=0;j<NbVerticesOnGeomVertex;j++ ) 
 		 VerticesOnGeomVertex[j].SetOn();
@@ -1088,5 +1074,5 @@
 	inline  void   Triangles::SetVertexFieldOnBTh(){
 		for (Int4 i=0;i<nbv;i++) 
-		 vertices[i].on=0;
+		 vertices[i].onGeometry=0;
 		for (Int4 j=0;j<NbVertexOnBThVertex;j++ ) 
 		 VertexOnBThVertex[j].SetOnBTh();
Index: /issm/trunk/src/c/Bamgx/objects/Geometry.cpp
===================================================================
--- /issm/trunk/src/c/Bamgx/objects/Geometry.cpp	(revision 2944)
+++ /issm/trunk/src/c/Bamgx/objects/Geometry.cpp	(revision 2945)
@@ -342,4 +342,15 @@
 		else{
 			throw ErrorException(__FUNCT__,exprintf("No edges provided"));
+		}
+
+		//CrackedEdges
+		if (bamggeom->CrackedEdges){
+			if(verbose>3) printf("      processing CrackedEdges\n");
+			for (i=0;i<bamggeom->NumCrackedEdges;i++){
+				throw ErrorException(__FUNCT__,exprintf("Not implemented yet"));
+			}
+		}
+		else{
+			if(verbose>3) printf("      no CrackedEdges found\n");
 		}
 
@@ -912,5 +923,5 @@
 	}
 	/*}}}1*/
-	/*FUNCTION  Geometry::Geometry::ProjectOnCurve {{{1*/
+	/*FUNCTION  Geometry::ProjectOnCurve {{{1*/
 	GeometricalEdge* Geometry::ProjectOnCurve(const Edge & e,Real8 s,Vertex &V,VertexOnGeom &GV ) const {
 		Real8 save_s=s;
@@ -918,9 +929,9 @@
 retry:    
 		s=save_s;
-		GeometricalEdge* on = e.on;
+		GeometricalEdge* on = e.onGeometry;
 		if (!on){
 			throw ErrorException(__FUNCT__,exprintf("!on"));
 		}
-		if (!e[0].on ||  !e[1].on){
+		if (!e[0].onGeometry ||  !e[1].onGeometry){
 			throw ErrorException(__FUNCT__,exprintf("!e[0].on ||  !e[1].on"));
 		}
@@ -932,9 +943,9 @@
 		Real8  lge[mxe+1];
 		int bge=mxe/2,tge=bge;
-		ge[bge] = e.on;
+		ge[bge] = e.onGeometry;
 		sensge[bge]=1;
 
 		R2 V0 = v0,V1=v1,V01=V1-V0;
-		VertexOnGeom  vg0= *v0.on,  vg1=*v1.on;
+		VertexOnGeom  vg0= *v0.onGeometry,  vg1=*v1.onGeometry;
 
 		//    GeometricalEdge * eg0 = e.on,* eg1 = e.on, *eg=NULL;
Index: /issm/trunk/src/c/Bamgx/objects/Triangles.cpp
===================================================================
--- /issm/trunk/src/c/Bamgx/objects/Triangles.cpp	(revision 2944)
+++ /issm/trunk/src/c/Bamgx/objects/Triangles.cpp	(revision 2945)
@@ -436,5 +436,5 @@
 					throw ErrorException(__FUNCT__,exprintf("EdgesOnGeometricEdge error: We must have : (i>0 && j >0 && i <= nbe && j <= Gh.nbe)"));
 				}
-				edges[i-1].on = Gh.edges + j-1;
+				edges[i-1].onGeometry = Gh.edges + j-1;
 			}
 		}
@@ -652,5 +652,5 @@
 		k=0;
 		for (i=0;i<nbe;i++){
-			if (edges[i].on) k=k+1;
+			if (edges[i].onGeometry) k=k+1;
 		}
 		bamgmesh->NumEdgesOnGeometricEdge=k;
@@ -660,7 +660,7 @@
 			int count=0;
 			for (i=0;i<nbe;i++){
-				if (edges[i].on){
+				if (edges[i].onGeometry){
 					bamgmesh->EdgesOnGeometricEdge[count*2+0]=(double)i+1; //back to Matlab indexing
-					bamgmesh->EdgesOnGeometricEdge[count*2+1]=(double)Gh.Number(edges[i].on)+1; //back to Matlab indexing
+					bamgmesh->EdgesOnGeometricEdge[count*2+1]=(double)Gh.Number(edges[i].onGeometry)+1; //back to Matlab indexing
 					count=count+1;
 				}
@@ -1498,9 +1498,9 @@
 					edges[add].v[0] = &triangles[it][VerticesOfTriangularEdge[j][0]];
 					edges[add].v[1] = &triangles[it][VerticesOfTriangularEdge[j][1]];
-					edges[add].on=0; 
+					edges[add].onGeometry=0; 
 					if (i<nbeold) // in file edge // Modif FH 06122055 
 					  {
 						edges[add].ref = edgessave[i].ref; 		      
-						edges[add].on = edgessave[i].on; //  HACK pour recuperer les aretes requise midf FH avril 2006 ???? 
+						edges[add].onGeometry = edgessave[i].onGeometry; //  HACK pour recuperer les aretes requise midf FH avril 2006 ???? 
 					  }
 					else
@@ -1691,7 +1691,7 @@
 			Gh.edges[i].tg[0]=R2();
 			Gh.edges[i].tg[1]=R2();
-			bool requis= edges[i].on; 
+			bool requis= edges[i].onGeometry; 
 			if(requis) kreq++;
-			edges[i].on =  Gh.edges + i;
+			edges[i].onGeometry =  Gh.edges + i;
 			if(equiedges && i < nbeold ) {
 				int j=equiedges[i]/2;
@@ -1805,5 +1805,5 @@
 			int i,k;
 			for (k=i=0;i<nbe;i++)
-			 if(edges[i].on->Cracked()) k++;
+			 if(edges[i].onGeometry->Cracked()) k++;
 			if( k==0) return 0;
 			CurrentTh = this;
@@ -1822,5 +1822,5 @@
 			const int  nbe0  = nbe;
 			for (k=i=0;i<nbe0;i++) // on double les arete cracked 
-			 if(edges[i].on->Cracked())
+			 if(edges[i].onGeometry->Cracked())
 				{
 				 e[nbe] = e[i];
@@ -1828,5 +1828,5 @@
 				 e[nbe].v[0] =  e[i].v[1];
 				 e[nbe].v[1] =  e[i].v[0];
-				 e[nbe].on = e[i].on->link ; // fqux 
+				 e[nbe].onGeometry = e[i].onGeometry->link ; // faux 
 				 CrackedEdges[k++]=CrackedEdge(edges,i,nbe);
 				 nbe++;
@@ -1966,5 +1966,5 @@
 					throw ErrorException(__FUNCT__,exprintf("Missing  Edge %i, v0=%i,v1=%i",i ,Number(edges[i][0]),Number(edges[i][1])));
 				  }
-				if ( nbswp >=0 && edges[i].on->Cracked())
+				if ( nbswp >=0 && edges[i].onGeometry->Cracked())
 				 ta.SetCracked();
 			  }
@@ -2260,8 +2260,8 @@
 
 			for (i=0;i<nbe;i++)
-			 if(edges[i].on) 
+			 if(edges[i].onGeometry) 
 			  for(int j=0;j<2;j++)
 				if (!edges[i].adj[j])
-				 if(!edges[i][j].on->IsRequiredVertex()) {
+				 if(!edges[i][j].onGeometry->IsRequiredVertex()) {
 					 throw ErrorException(__FUNCT__,exprintf("adj and vertex required esge(?)"));
 				 }
@@ -2723,5 +2723,5 @@
 										edges[nbe].v[1]=b->to;;
 										edges[nbe].ref = e->ref;
-										edges[nbe].on = e;
+										edges[nbe].onGeometry = e;
 										edges[nbe].adj[0] = 0;
 										edges[nbe].adj[1] = 0;
@@ -2817,5 +2817,5 @@
 												edges[nbe].v[1]=vb;
 												edges[nbe].ref = e->ref;
-												edges[nbe].on = e;
+												edges[nbe].onGeometry = e;
 												edges[nbe].adj[0] = PreviousNewEdge;
 												if(PreviousNewEdge)
@@ -2850,5 +2850,5 @@
 									edges[nbe].v[1]=vb;
 									edges[nbe].ref = e->ref;
-									edges[nbe].on = e;
+									edges[nbe].onGeometry = e;
 									edges[nbe].adj[0] = PreviousNewEdge;
 									edges[nbe].adj[1] = 0;
@@ -2991,11 +2991,11 @@
 				Edge & ei = BTh.edges[iedge];
 				for(int je=0;je<2;je++) // for the 2 extremites
-				 if (!ei.on->Mark() && ei[je].on->IsRequiredVertex() )
+				 if (!ei.onGeometry->Mark() && ei[je].onGeometry->IsRequiredVertex() )
 					{
 					 // a begin of curve 
-					 int nc = ei.on->CurveNumber;
+					 int nc = ei.onGeometry->CurveNumber;
 					 if(
-								 ei.on==Gh.curves[nc].be    && 
-								 (GeometricalVertex *) *ei[je].on == &(*Gh.curves[nc].be)[Gh.curves[nc].kb] //  same extremity 
+								 ei.onGeometry==Gh.curves[nc].be    && 
+								 (GeometricalVertex *) *ei[je].onGeometry == &(*Gh.curves[nc].be)[Gh.curves[nc].kb] //  same extremity 
 						)     
 						{ 
@@ -3052,10 +3052,10 @@
 						int k0equi=jedgeequi,k1equi;		  
 						Edge * peequi= BTh.edges+iedgeequi;
-						GeometricalEdge *ongequi = peequi->on;
+						GeometricalEdge *ongequi = peequi->onGeometry;
 
 						Real8 sNew=Lstep;// abcisse of the new points (phase==1) 
 						L=0;// length of the curve
 						Int4 i=0;// index of new points on the curve
-						register GeometricalVertex * GA0 = *(*peequi)[k0equi].on;
+						register GeometricalVertex * GA0 = *(*peequi)[k0equi].onGeometry;
 						Vertex *A0;
 						A0 = GA0->to;  // the vertex in new mesh
@@ -3069,5 +3069,5 @@
 						if(ongequi->Required() ) 
 						  {
-							GeometricalVertex *GA1 = *(*peequi)[1-k0equi].on;
+							GeometricalVertex *GA1 = *(*peequi)[1-k0equi].onGeometry;
 							A1 = GA1->to;  //
 						  }       
@@ -3079,8 +3079,8 @@
 							 k1equi= 1 - k0equi;
 
-							 if (!pe  || !ee.on){
+							 if (!pe  || !ee.onGeometry){
 								 throw ErrorException(__FUNCT__,exprintf("!pe  || !ee.on"));
 							 }
-							 ee.on->SetMark();
+							 ee.onGeometry->SetMark();
 							 Vertex & v0=ee[0], & v1=ee[1];
 							 R2 AB= (R2) v1 - (R2) v0;
@@ -3124,5 +3124,5 @@
 									 A1->ReferenceNumber = eeequi.ref;
 									 A1->DirOfSearch =NoDirOfSearch;
-									 e->on = ongequi;
+									 e->onGeometry = ongequi;
 									 e->v[0]=  A0;
 									 e->v[1]=  A1;
@@ -3139,12 +3139,12 @@
 
 							 }               
-							 if (ee.on->CurveNumber!=ei.on->CurveNumber){
+							 if (ee.onGeometry->CurveNumber!=ei.onGeometry->CurveNumber){
 								 throw ErrorException(__FUNCT__,exprintf("ee.on->CurveNumber!=ei.on->CurveNumber"));
 							 }
-							 if ( ee[k1].on->IsRequiredVertex()) {
-								 if (!eeequi[k1equi].on->IsRequiredVertex()){
+							 if ( ee[k1].onGeometry->IsRequiredVertex()) {
+								 if (!eeequi[k1equi].onGeometry->IsRequiredVertex()){
 									 throw ErrorException(__FUNCT__,exprintf("!eeequi[k1equi].on->IsRequiredVertex()"));
 								 }
-								 register GeometricalVertex * GA1 = *eeequi[k1equi].on;
+								 register GeometricalVertex * GA1 = *eeequi[k1equi].onGeometry;
 								 A1=GA1->to;// the vertex in new mesh
 								 if (A1-vertices<0 || A1-vertices>=nbv){
@@ -3165,5 +3165,5 @@
 						  {
 							Edge *e = edges + nbe++;
-							e->on  = ongequi;
+							e->onGeometry  = ongequi;
 							e->v[0]=  A0;
 							e->v[1]=	A1;
@@ -3507,17 +3507,17 @@
 	  { 
 		Edge * ei = edges+i;
-		GeometricalEdge *on = ei->on; 
-		e[Gh.Number(on)] = ei;    
+		GeometricalEdge *onGeometry = ei->onGeometry; 
+		e[Gh.Number(onGeometry)] = ei;    
 	  }
 	for ( i=0;i<nbe ; i++) 
 	 for (int ii=0;ii<2;ii++) { 
 		 Edge * ei = edges+i;
-		 GeometricalEdge *on = ei->on;
+		 GeometricalEdge *onGeometry = ei->onGeometry;
 		 int j= ii;
-		 while (!(*on)[j].Required()) { 
-			 Adj(on,j); // next geom edge
+		 while (!(*onGeometry)[j].Required()) { 
+			 Adj(onGeometry,j); // next geom edge
 			 j=1-j;
-			 if (e[Gh.Number(on)])  break; // optimisation     
-			 e[Gh.Number(on)] = ei; 
+			 if (e[Gh.Number(onGeometry)])  break; // optimisation
+			 e[Gh.Number(onGeometry)] = ei; 
 		 }
 	 }
@@ -3681,5 +3681,5 @@
 			  { 
 				Vertex & bv = Bh[i];
-				if (!bv.on) {
+				if (!bv.onGeometry) {
 					vertices[nbv].r = bv.r;
 					vertices[nbv++].m = bv.m;}
@@ -4474,5 +4474,5 @@
 		Triangle * lastT = triangles + nbt;
 		for (i=0;i<nbe;i++)
-		 if(edges[i].on) NbEdgeOnGeom++;
+		 if(edges[i].onGeometry) NbEdgeOnGeom++;
 		Int4 newnbe=nbe+nbe;
 		//  Int4 newNbVerticesOnGeomVertex=NbVerticesOnGeomVertex;
@@ -4501,9 +4501,9 @@
 		Int4 ferr=0;
 		for (i=0;i<nbe;i++)
-		 newedges[ie].on=0;
+		 newedges[ie].onGeometry=0;
 
 		for (i=0;i<nbe;i++)
 		  {
-			GeometricalEdge *ong =  edges[i].on;
+			GeometricalEdge *ong =  edges[i].onGeometry;
 
 			newedges[ie]=edges[i];
@@ -4524,5 +4524,5 @@
 						throw ErrorException(__FUNCT__,exprintf("!edgesGtoB"));
 					}
-					ong= ProjectOnCurve(*edgesGtoB[Gh.Number(edges[i].on)],
+					ong= ProjectOnCurve(*edgesGtoB[Gh.Number(edges[i].onGeometry)],
 								edges[i][0],edges[i][1],0.5,vertices[k],
 								newVertexOnBThEdge[kvb],
@@ -4553,5 +4553,5 @@
 				vertices[k].r = ((R2) edges[i][0] + (R2)  edges[i][1] )*0.5;
 				vertices[k].m =  Metric(0.5,edges[i][0],0.5,edges[i][1]);
-				vertices[k].on = 0;
+				vertices[k].onGeometry = 0;
 			  }
 			//vertices[k].i = toI2( vertices[k].r);
@@ -4562,5 +4562,5 @@
 			vertices[k].DirOfSearch = NoDirOfSearch;
 
-			newedges[ie].on = Gh.Contening(AA,ong);
+			newedges[ie].onGeometry = Gh.Contening(AA,ong);
 			newedges[ie++].v[1]=vertices+k;
 
@@ -4568,5 +4568,5 @@
 			newedges[ie].adj[0]=newedges + ie -1;
 			newedges[ie].adj[1]=newedges+(edges[i].adj[1]-edges) ;
-			newedges[ie].on =  Gh.Contening(BB,ong);
+			newedges[ie].onGeometry =  Gh.Contening(BB,ong);
 			newedges[ie++].v[0]=vertices+k;
 			k++;
@@ -4965,5 +4965,5 @@
 				  Vertex &v0 = t[VerticesOfTriangularEdge[j][0]];
 				  Vertex &v1 = t[VerticesOfTriangularEdge[j][1]];
-				  if (v0.on && v1.on){
+				  if (v0.onGeometry && v1.onGeometry){
 					  R2 P= ((R2) v0 + (R2) v1)*0.5;
 					  if ( nbv<nbvx) {
@@ -5572,5 +5572,5 @@
 				while ((ks=SwapForForcingEdge(  va,  vb, tc, detss, det1,det2,NbSwap)))
 				 if(l++ > 10000000) {
-					 throw ErrorException(__FUNCT__,exprintf("Loop in forcing Egde, nb de swap=%i, nb of try swap (%i)too big",NbSwap,l));
+					 throw ErrorException(__FUNCT__,exprintf("Loop in forcing Egde, nb de swap=%i, nb of try swap (%i) too big",NbSwap,l));
 				 }
 				Vertex *aa = tc.EdgeVertex(0), *bb = tc.EdgeVertex(1);
