// ORIG-DATE:     Dec 2007
// -*- Mode : c++ -*-
//
// SUMMARY  :  Model  mesh 2d   
// USAGE    : LGPL      
// ORG      : LJLL Universite Pierre et Marie Curi, Paris,  FRANCE 
// AUTHOR   : Frederic Hecht
// E-MAIL   : frederic.hecht@ann.jussieu.fr
//

/*
 
 This file is part of Freefem++
 
 Freefem++ 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, or
 (at your option) any later version.
 
 Freefem++  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 Freefem++; if not, write to the Free Software
 Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA  02110-1301  USA
 
 Thank to the ARN ()  FF2A3 grant
 ref:ANR-07-CIS7-002-01 
 */

#ifndef MESH2DN_HPP_
#define MESH2DN_HPP_

namespace Fem2D {
#include "R2.hpp"
}

#include "GenericMesh.hpp" 
#include <cstdio>
#include <cstdlib>
using namespace std;

namespace Fem2D {
    
    
    
    typedef GenericVertex<R2> Vertex2;
    
    struct DataTriangle2  {
	static const int NbOfVertices =3;
	static const int NbOfFaces =1;
	static const int NbOfEdges =3;
	static const int NT =0;
	static const int NbOfAdjElem =NbOfVertices;
	static const int NbOfVertexOnHyperFace =NbOfVertices-1;
	typedef Vertex2 V;
	typedef  V::Rd Rd ;
	static R mesure(  V *  pv[NbOfVertices]) {    
	    return det(*pv[0],*pv[1],*pv[2])*0.5;
	} 
	typedef R2 RdHat;
	typedef R1 RdHatBord;
	static RdHat PBord(const int * nvb,const RdHatBord & P)  { return RdHat::KHat[nvb[0]]*(1-P.x)+R2::KHat[nvb[1]]*(P.x) ;}  
	
	//  static const int (* const nvface)[3];// = nvfaceTria  ;
	//static const int (* const nvedge)[2];// = nvedgeTrai;
	
    };
    
    
    struct DataSeg2  {
	static const int NbOfVertices =2;
	static const int NbOfEdges =1;
	static const int NbOfFaces =0;
	static const int NT =0;
	static const int NbOfAdjElem =NbOfVertices;
	static const int NbOfVertexOnHyperFace =NbOfVertices-1;
	typedef Vertex2 V;
	typedef  V::Rd Rd;
	static R mesure(  V *  pv[NbOfVertices]) {    
	    return R2(*pv[0],*pv[1]).norme();
	}
	typedef R1 RdHat;
	typedef R0 RdHatBord;
	static RdHat PBord(const int * nvb,const RdHatBord &P)  { return RdHat(*nvb) ;}  
	
	//static const int (* const nvface)[3];// = nvfaceSeg ;
	//static const int (* const nvedge)[2];//  = nvedgeSeg;
	
    };
    
    
    
    class Triangle2: public GenericElement<DataTriangle2>  
  {
  public: 
      Triangle2() {}; // constructor empty for array
      
      
      R2 H(int i) const { ASSERTION(i>=0 && i <3);
      R2 E=Edge(i);return E.perp()/(2.*this->mesure());} // heigth 
      
      void Gradlambda(R2 * GradL) const
      {
	  GradL[1]= H(1);
	  GradL[2]= H(2);
	  GradL[0]=-GradL[1]-GradL[2];
      }
      
      
      
  };
    
    class BoundaryEdge2: public GenericElement<DataSeg2>  
  {
  public: 
      BoundaryEdge2() {}; // constructor empty for array
      
      
  };
    
    template<typename Mesh> void GSave2(FILE * ff,const Mesh & Th) ;
    
    class Mesh2 : public GenericMesh<Triangle2,BoundaryEdge2,Vertex2> 
    { 
    public:
	Mesh2(const char *); // 
	Mesh2(int nnv, int nnt, int nnbe, Vertex2 *vv, Triangle2 *tt, BoundaryEdge2 *bb); 
	const Element * Find( R2 P, R2 & Phat,bool & outside,const Element * tstart) const;
	int Save(const string & filename);
	//int Popen(const FILE *namestream);
	Mesh2(FILE *f);     
	void GSave(FILE * f) const { return GSave2<Mesh2>(f,*this);}
	void GRead(FILE * f);
	
    private:
	int load(const string & filename); 
	Mesh2(const Mesh2 &); // pas de construction par copie
	void operator=(const Mesh2 &);// pas affectation par copy 
    };
    
}

#endif

