Add classes for quadratic elements generation

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eap 2006-03-06 10:43:19 +00:00
parent 110aee454e
commit f0eb7254d2
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// File: StdMeshers_Helper.cxx
// Created: 15.02.06 15:22:41
// Author: Sergey KUUL
// Copyright: Open CASCADE 2006
#include "StdMeshers_Helper.hxx"
#include "TopTools_MapOfShape.hxx"
#include "BRepTools.hxx"
#include "BRepTools_WireExplorer.hxx"
#include "SMDS_FacePosition.hxx"
#include "SMDS_EdgePosition.hxx"
#include "SMESH_subMesh.hxx"
#include "Geom2d_Curve.hxx"
#include "Geom_Curve.hxx"
#include "Geom_Surface.hxx"
#include "BRep_Tool.hxx"
#include "gp_Pnt2d.hxx"
//=======================================================================
//function : CheckShape
//purpose :
//=======================================================================
bool StdMeshers_Helper::IsQuadraticSubMesh(const TopoDS_Shape& aSh)
{
SMESHDS_Mesh* meshDS = GetMesh()->GetMeshDS();
myShapeID = meshDS->ShapeToIndex(aSh);
// we can create quadratic elements only if all elements
// created on given shape are quadratic
// also we have to fill myNLinkNodeMap
myCreateQuadratic = true;
TopAbs_ShapeEnum subType( aSh.ShapeType()==TopAbs_FACE ? TopAbs_EDGE : TopAbs_FACE );
SMDSAbs_ElementType elemType( subType==TopAbs_FACE ? SMDSAbs_Face : SMDSAbs_Edge );
TopExp_Explorer exp( aSh, subType );
for (; exp.More() && myCreateQuadratic; exp.Next()) {
if ( SMESHDS_SubMesh * subMesh = meshDS->MeshElements( exp.Current() )) {
if ( SMDS_ElemIteratorPtr it = subMesh->GetElements() ) {
while(it->more()) {
const SMDS_MeshElement* e = it->next();
if ( e->GetType() != elemType || !e->IsQuadratic() ) {
myCreateQuadratic = false;
break;
}
else {
// fill NLinkNodeMap
switch ( e->NbNodes() ) {
case 3:
AddNLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(2)); break;
case 6:
AddNLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(3));
AddNLinkNode(e->GetNode(1),e->GetNode(2),e->GetNode(4));
AddNLinkNode(e->GetNode(2),e->GetNode(0),e->GetNode(5)); break;
case 8:
AddNLinkNode(e->GetNode(0),e->GetNode(1),e->GetNode(4));
AddNLinkNode(e->GetNode(1),e->GetNode(2),e->GetNode(5));
AddNLinkNode(e->GetNode(2),e->GetNode(3),e->GetNode(6));
AddNLinkNode(e->GetNode(3),e->GetNode(0),e->GetNode(7));
break;
default:
myCreateQuadratic = false;
break;
}
}
}
}
}
}
if(!myCreateQuadratic) {
myNLinkNodeMap.clear();
}
return myCreateQuadratic;
}
//=======================================================================
//function : IsMedium
//purpose :
//=======================================================================
bool StdMeshers_Helper::IsMedium(const SMDS_MeshNode* node,
const SMDSAbs_ElementType typeToCheck)
{
bool isMedium = false;
SMDS_ElemIteratorPtr it = node->GetInverseElementIterator();
while (it->more()) {
const SMDS_MeshElement* elem = it->next();
isMedium = elem->IsMediumNode(node);
if ( typeToCheck == SMDSAbs_All || elem->GetType() == typeToCheck )
break;
}
return isMedium;
}
//=======================================================================
//function : AddNLinkNode
//purpose :
//=======================================================================
/*!
* Auxilary function for filling myNLinkNodeMap
*/
void StdMeshers_Helper::AddNLinkNode(const SMDS_MeshNode* n1,
const SMDS_MeshNode* n2,
const SMDS_MeshNode* n12)
{
NLink link( n1, n2 );
if ( n1 > n2 ) link = NLink( n2, n1 );
// add new record to map
myNLinkNodeMap.insert( make_pair(link,n12));
}
//=======================================================================
//function : GetNodeUV
//purpose :
//=======================================================================
/*!
* Auxilary function for GetMediumNode()
*/
gp_XY StdMeshers_Helper::GetNodeUV(const TopoDS_Face& F,
const SMDS_MeshNode* n)
{
gp_Pnt2d p2d;
const SMDS_PositionPtr Pos = n->GetPosition();
if(Pos->GetTypeOfPosition()==SMDS_TOP_FACE) {
//cout<<"face"<<endl;
// node has position on face
const SMDS_FacePosition* fpos =
static_cast<const SMDS_FacePosition*>(n->GetPosition().get());
p2d = gp_Pnt2d(fpos->GetUParameter(),fpos->GetVParameter());
//cout<<"fpos->GetUParameter()="<<fpos->GetUParameter()<<" fpos->GetVParameter()="<<fpos->GetVParameter()<<endl;
}
else if(Pos->GetTypeOfPosition()==SMDS_TOP_EDGE) {
// node has position on edge => it is needed to find
// corresponding edge from face, get pcurve for this
// edge and recieve value from this pcurve
const SMDS_EdgePosition* epos =
static_cast<const SMDS_EdgePosition*>(n->GetPosition().get());
double param = epos->GetUParameter();
SMESHDS_Mesh* meshDS = GetMesh()->GetMeshDS();
int edgeID = Pos->GetShapeId();
const TopoDS_Edge& E = TopoDS::Edge(meshDS->IndexToShape(edgeID));
double f, l;
Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(E, F, f, l);
p2d = C2d->Value(param);
}
else { // vertex position
SMESHDS_Mesh * meshDS = GetMesh()->GetMeshDS();
const TopoDS_Wire& W = BRepTools::OuterWire(F);
BRepTools_WireExplorer wexp (W, F);
TopoDS_Edge E;
for (wexp.Init(W, F); wexp.More(); wexp.Next()) {
E = wexp.Current();
TopoDS_Vertex V1 = TopExp::FirstVertex(E);
TopoDS_Vertex V2 = TopExp::LastVertex(E);
if( meshDS->ShapeToIndex(V1) != Pos->GetShapeId() &&
meshDS->ShapeToIndex(V2) != Pos->GetShapeId() ) continue;
double f2, l2;
Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(E, F, f2, l2);
double f, l;
TopLoc_Location L;
Handle(Geom_Curve) C = BRep_Tool::Curve(E, L, f, l);
gp_Pnt P = C->Value(f);
if(!L.IsIdentity()) P = P.Transformed(L.Transformation());
double tol = BRep_Tool::Tolerance(E);
double dx = n->X() - P.X();
double dy = n->Y() - P.Y();
double dz = n->Z() - P.Z();
double dist = sqrt(dx*dx + dy*dy + dz*dz);
if(dist<tol) {
p2d = C2d->Value(f2);
}
else {
p2d = C2d->Value(l2);
}
}
}
return p2d.XY();
}
//=======================================================================
//function : GetMediumNode
//purpose :
//=======================================================================
/*!
* Special function for search or creation medium node
*/
const SMDS_MeshNode* StdMeshers_Helper::GetMediumNode(const SMDS_MeshNode* n1,
const SMDS_MeshNode* n2,
const bool force3d)
{
//cout<<"n1: "<<n1;
//cout<<"n2: "<<n2;
NLink link(( n1 < n2 ? n1 : n2 ), ( n1 < n2 ? n2 : n1 ));
ItNLinkNode itLN = myNLinkNodeMap.find( link );
if ( itLN != myNLinkNodeMap.end() ) {
return (*itLN).second;
}
else {
// create medium node
SMDS_MeshNode* n12;
SMESHDS_Mesh* meshDS = GetMesh()->GetMeshDS();
if(!force3d) {
// we try to create medium node using UV parameters of
// nodes, else - medium between corresponding 3d points
const SMDS_PositionPtr Pos1 = n1->GetPosition();
const SMDS_PositionPtr Pos2 = n2->GetPosition();
int faceID = -1;
if( Pos1->GetTypeOfPosition()==SMDS_TOP_FACE ) {
faceID = Pos1->GetShapeId();
}
else if( Pos2->GetTypeOfPosition()==SMDS_TOP_FACE ) {
faceID = Pos2->GetShapeId();
}
if(faceID>-1) {
TopoDS_Face F = TopoDS::Face(meshDS->IndexToShape(faceID));
gp_XY p1 = GetNodeUV(F,n1);
gp_XY p2 = GetNodeUV(F,n2);
double u = (p1.X()+p2.X())/2.;
double v = (p1.Y()+p2.Y())/2.;
Handle(Geom_Surface) S = BRep_Tool::Surface(F);
gp_Pnt P = S->Value(u, v);
n12 = meshDS->AddNode(P.X(), P.Y(), P.Z());
meshDS->SetNodeOnFace(n12, faceID, u, v);
myNLinkNodeMap.insert(NLinkNodeMap::value_type(link,n12));
return n12;
}
}
// 3d variant
double x = ( n1->X() + n2->X() )/2.;
double y = ( n1->Y() + n2->Y() )/2.;
double z = ( n1->Z() + n2->Z() )/2.;
n12 = meshDS->AddNode(x,y,z);
meshDS->SetNodeInVolume(n12, myShapeID);
myNLinkNodeMap.insert(NLinkNodeMap::value_type(link,n12));
return n12;
}
}
//=======================================================================
//function : AddFace
//purpose :
//=======================================================================
/*!
* Special function for creation quadratic triangle
*/
SMDS_MeshFace* StdMeshers_Helper::AddFace(const SMDS_MeshNode* n1,
const SMDS_MeshNode* n2,
const SMDS_MeshNode* n3)
{
SMESHDS_Mesh * meshDS = GetMesh()->GetMeshDS();
if(!myCreateQuadratic) {
return meshDS->AddFace(n1, n2, n3);
}
const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,false);
const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,false);
const SMDS_MeshNode* n31 = GetMediumNode(n3,n1,false);
return meshDS->AddFace(n1, n2, n3, n12, n23, n31);
}
//=======================================================================
//function : AddFace
//purpose :
//=======================================================================
/*!
* Special function for creation quadratic quadrangle
*/
SMDS_MeshFace* StdMeshers_Helper::AddFace(const SMDS_MeshNode* n1,
const SMDS_MeshNode* n2,
const SMDS_MeshNode* n3,
const SMDS_MeshNode* n4)
{
SMESHDS_Mesh * meshDS = GetMesh()->GetMeshDS();
if(!myCreateQuadratic) {
return meshDS->AddFace(n1, n2, n3, n4);
}
const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,false);
const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,false);
const SMDS_MeshNode* n34 = GetMediumNode(n3,n4,false);
const SMDS_MeshNode* n41 = GetMediumNode(n4,n1,false);
return meshDS->AddFace(n1, n2, n3, n4, n12, n23, n34, n41);
}
//=======================================================================
//function : AddVolume
//purpose :
//=======================================================================
/*!
* Special function for creation quadratic volume
*/
SMDS_MeshVolume* StdMeshers_Helper::AddVolume(const SMDS_MeshNode* n1,
const SMDS_MeshNode* n2,
const SMDS_MeshNode* n3,
const SMDS_MeshNode* n4,
const SMDS_MeshNode* n5,
const SMDS_MeshNode* n6)
{
SMESHDS_Mesh * meshDS = GetMesh()->GetMeshDS();
if(!myCreateQuadratic) {
return meshDS->AddVolume(n1, n2, n3, n4, n5, n6);
}
const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,true);
const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,true);
const SMDS_MeshNode* n31 = GetMediumNode(n3,n1,true);
const SMDS_MeshNode* n45 = GetMediumNode(n4,n5,true);
const SMDS_MeshNode* n56 = GetMediumNode(n5,n6,true);
const SMDS_MeshNode* n64 = GetMediumNode(n6,n4,true);
const SMDS_MeshNode* n14 = GetMediumNode(n1,n4,true);
const SMDS_MeshNode* n25 = GetMediumNode(n2,n5,true);
const SMDS_MeshNode* n36 = GetMediumNode(n3,n6,true);
return meshDS->AddVolume(n1, n2, n3, n4, n5, n6,
n12, n23, n31, n45, n56, n64, n14, n25, n36);
}
//=======================================================================
//function : AddVolume
//purpose :
//=======================================================================
/*!
* Special function for creation quadratic volume
*/
SMDS_MeshVolume* StdMeshers_Helper::AddVolume(const SMDS_MeshNode* n1,
const SMDS_MeshNode* n2,
const SMDS_MeshNode* n3,
const SMDS_MeshNode* n4)
{
SMESHDS_Mesh * meshDS = GetMesh()->GetMeshDS();
if(!myCreateQuadratic) {
return meshDS->AddVolume(n1, n2, n3, n4);
}
const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,true);
const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,true);
const SMDS_MeshNode* n31 = GetMediumNode(n3,n1,true);
const SMDS_MeshNode* n14 = GetMediumNode(n1,n4,true);
const SMDS_MeshNode* n24 = GetMediumNode(n2,n4,true);
const SMDS_MeshNode* n34 = GetMediumNode(n3,n4,true);
return meshDS->AddVolume(n1, n2, n3, n4, n12, n23, n31, n14, n24, n34);
}
//=======================================================================
//function : AddVolume
//purpose :
//=======================================================================
/*!
* Special function for creation quadratic volume
*/
SMDS_MeshVolume* StdMeshers_Helper::AddVolume(const SMDS_MeshNode* n1,
const SMDS_MeshNode* n2,
const SMDS_MeshNode* n3,
const SMDS_MeshNode* n4,
const SMDS_MeshNode* n5,
const SMDS_MeshNode* n6,
const SMDS_MeshNode* n7,
const SMDS_MeshNode* n8)
{
SMESHDS_Mesh * meshDS = GetMesh()->GetMeshDS();
if(!myCreateQuadratic) {
return meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8);
}
const SMDS_MeshNode* n12 = GetMediumNode(n1,n2,true);
const SMDS_MeshNode* n23 = GetMediumNode(n2,n3,true);
const SMDS_MeshNode* n34 = GetMediumNode(n3,n4,true);
const SMDS_MeshNode* n41 = GetMediumNode(n4,n1,true);
const SMDS_MeshNode* n56 = GetMediumNode(n5,n6,true);
const SMDS_MeshNode* n67 = GetMediumNode(n6,n7,true);
const SMDS_MeshNode* n78 = GetMediumNode(n7,n8,true);
const SMDS_MeshNode* n85 = GetMediumNode(n8,n5,true);
const SMDS_MeshNode* n15 = GetMediumNode(n1,n5,true);
const SMDS_MeshNode* n26 = GetMediumNode(n2,n6,true);
const SMDS_MeshNode* n37 = GetMediumNode(n3,n7,true);
const SMDS_MeshNode* n48 = GetMediumNode(n4,n8,true);
return meshDS->AddVolume(n1, n2, n3, n4, n5, n6, n7, n8,
n12, n23, n34, n41, n56, n67,
n78, n85, n15, n26, n37, n48);
}

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// File: StdMeshers_Helper.hxx
// Created: 15.02.06 14:48:09
// Author: Sergey KUUL
// Copyright: Open CASCADE 2006
#ifndef StdMeshers_Helper_HeaderFile
#define StdMeshers_Helper_HeaderFile
#include <SMESH_Mesh.hxx>
#include <TopoDS_Shape.hxx>
#include <SMDS_MeshNode.hxx>
#include <TopoDS_Face.hxx>
#include <gp_XY.hxx>
#include <map>
typedef pair<const SMDS_MeshNode*, const SMDS_MeshNode*> NLink;
typedef map<NLink, const SMDS_MeshNode*> NLinkNodeMap;
typedef map<NLink, const SMDS_MeshNode*>::iterator ItNLinkNode;
/*!
* \brief It helps meshers to add elements
*
* It allow meshers not to care about creation of medium nodes
* when filling a quadratic mesh. Helper does it itself.
* It defines degree of elements to create when IsQuadraticSubMesh()
* is called.
*/
class StdMeshers_Helper
{
public:
// ---------- PUBLIC METHODS ----------
/// Empty constructor
StdMeshers_Helper(SMESH_Mesh& theMesh)
{ myMesh=(void *)&theMesh; myCreateQuadratic = false; }
SMESH_Mesh* GetMesh() const
{ return (SMESH_Mesh*)myMesh; }
/// Copy constructor
//Standard_EXPORT StdMeshers_Helper (const StdMeshers_Helper& theOther);
/// Destructor
//Standard_EXPORT virtual ~StdMeshers_Helper ();
/**
* Check submesh for given shape
* Check if all elements on this shape
* are quadratic, if yes => set true to myCreateQuadratic
* (default value is false). Also fill myNLinkNodeMap
* Returns myCreateQuadratic
*/
bool IsQuadraticSubMesh(const TopoDS_Shape& theShape);
/*!
* \brief Returns true if given node is medium
* \param n - node to check
* \param typeToCheck - type of elements containing the node to ask about node status
* \retval bool - check result
*/
static bool IsMedium(const SMDS_MeshNode* node,
const SMDSAbs_ElementType typeToCheck = SMDSAbs_All);
/**
* Auxilary function for filling myNLinkNodeMap
*/
void AddNLinkNode(const SMDS_MeshNode* n1,
const SMDS_MeshNode* n2,
const SMDS_MeshNode* n12);
/**
* Auxilary function for filling myNLinkNodeMap
*/
void AddNLinkNodeMap(const NLinkNodeMap& aMap)
{ myNLinkNodeMap.insert(aMap.begin(), aMap.end()); }
/**
* Returns myNLinkNodeMap
*/
const NLinkNodeMap& GetNLinkNodeMap() { return myNLinkNodeMap; }
/**
* Auxilary function for GetMediumNode()
*/
gp_XY GetNodeUV(const TopoDS_Face& F,
const SMDS_MeshNode* n);
/**
* Special function for search or creation medium node
*/
const SMDS_MeshNode* GetMediumNode(const SMDS_MeshNode* n1,
const SMDS_MeshNode* n2,
const bool force3d);
/**
* Special function for creation quadratic triangle
*/
SMDS_MeshFace* AddFace(const SMDS_MeshNode* n1,
const SMDS_MeshNode* n2,
const SMDS_MeshNode* n3);
/**
* Special function for creation quadratic quadrangle
*/
SMDS_MeshFace* AddFace(const SMDS_MeshNode* n1,
const SMDS_MeshNode* n2,
const SMDS_MeshNode* n3,
const SMDS_MeshNode* n4);
/**
* Special function for creation quadratic tetraahedron
*/
SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
const SMDS_MeshNode* n2,
const SMDS_MeshNode* n3,
const SMDS_MeshNode* n4);
/**
* Special function for creation quadratic pentahedron
*/
SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
const SMDS_MeshNode* n2,
const SMDS_MeshNode* n3,
const SMDS_MeshNode* n4,
const SMDS_MeshNode* n5,
const SMDS_MeshNode* n6);
/**
* Special function for creation quadratic hexahedron
*/
SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
const SMDS_MeshNode* n2,
const SMDS_MeshNode* n3,
const SMDS_MeshNode* n4,
const SMDS_MeshNode* n5,
const SMDS_MeshNode* n6,
const SMDS_MeshNode* n7,
const SMDS_MeshNode* n8);
private:
void* myMesh;
int myShapeID;
// Key for creation quadratic faces
bool myCreateQuadratic;
// special map for using during creation quadratic faces
NLinkNodeMap myNLinkNodeMap;
};
#endif

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// SMESH StdMeshers_QuadraticMesh : implementaion of SMESH idl descriptions
//
// Copyright (C) 2003 OPEN CASCADE, EADS/CCR, LIP6, CEA/DEN,
// CEDRAT, EDF R&D, LEG, PRINCIPIA R&D, BUREAU VERITAS
//
// This library is free software; you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public
// License as published by the Free Software Foundation; either
// version 2.1 of the License.
//
// This library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
// Lesser General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public
// License along with this library; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
//
// See http://www.opencascade.org/SALOME/ or email : webmaster.salome@opencascade.org
//
//
//
// File : StdMeshers_QuadraticMesh.cxx
// Module : SMESH
// $Header$
#include "StdMeshers_QuadraticMesh.hxx"
#include "utilities.h"
using namespace std;
//=============================================================================
/*!
*
*/
//=============================================================================
StdMeshers_QuadraticMesh::StdMeshers_QuadraticMesh(int hypId,
int studyId,
SMESH_Gen * gen)
:SMESH_Hypothesis(hypId, studyId, gen)
{
_name = "QuadraticMesh";
_param_algo_dim = -1; // it means auxiliary, dim = 1
}
//=============================================================================
/*!
*
*/
//=============================================================================
StdMeshers_QuadraticMesh::~StdMeshers_QuadraticMesh()
{
}
//=============================================================================
/*!
*
*/
//=============================================================================
ostream & StdMeshers_QuadraticMesh::SaveTo(ostream & save)
{
return save;
}
//=============================================================================
/*!
*
*/
//=============================================================================
istream & StdMeshers_QuadraticMesh::LoadFrom(istream & load)
{
return load;
}
//=============================================================================
/*!
*
*/
//=============================================================================
ostream & operator <<(ostream & save, StdMeshers_QuadraticMesh & hyp)
{
return hyp.SaveTo( save );
}
//=============================================================================
/*!
*
*/
//=============================================================================
istream & operator >>(istream & load, StdMeshers_QuadraticMesh & hyp)
{
return hyp.LoadFrom( load );
}

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// SMESH StdMeshers : implementaion of SMESH idl descriptions
//
// Copyright (C) 2003 OPEN CASCADE, EADS/CCR, LIP6, CEA/DEN,
// CEDRAT, EDF R&D, LEG, PRINCIPIA R&D, BUREAU VERITAS
//
// This library is free software; you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public
// License as published by the Free Software Foundation; either
// version 2.1 of the License.
//
// This library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
// Lesser General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public
// License along with this library; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
//
// See http://www.opencascade.org/SALOME/ or email : webmaster.salome@opencascade.org
//
//
//
// File : StdMeshers_QuadraticMesh.hxx
// Module : SMESH
// $Header$
#ifndef _StdMeshers_QuadraticMesh_HXX_
#define _StdMeshers_QuadraticMesh_HXX_
#include "SMESH_Hypothesis.hxx"
#include "Utils_SALOME_Exception.hxx"
/*!
* \brief Hypothesis for StdMeshers_Regular_1D, forcing construction of quadratic edges.
* If the 2D mesher sees that all boundary edges are quadratic ones,
* it generates quadratic faces, else it generates linear faces using
* medium nodes as if they were vertex ones.
* The 3D mesher generates quadratic volumes only if all boundary faces
* are quadratic ones, else it fails.
*/
class StdMeshers_QuadraticMesh:public SMESH_Hypothesis
{
public:
StdMeshers_QuadraticMesh(int hypId, int studyId, SMESH_Gen * gen);
virtual ~ StdMeshers_QuadraticMesh();
virtual std::ostream & SaveTo(std::ostream & save);
virtual std::istream & LoadFrom(std::istream & load);
friend std::ostream & operator <<(std::ostream & save, StdMeshers_QuadraticMesh & hyp);
friend std::istream & operator >>(std::istream & load, StdMeshers_QuadraticMesh & hyp);
};
#endif