#ifdef FREEGLUT__
#define GL_SILENCE_DEPRECATION
#include <GL/glut.h>
#else
#ifdef __APPLE__
#define GL_SILENCE_DEPRECATION
#include <GLUT/glut.h>
#else
#include <GL/glut.h>
#endif
#endif
/*
#if !defined(GLUT_WINDOW_SCALE)
#    define NOTGLUT_WINDOW_SCALE
#    define GLUT_WINDOW_SCALE 199
#endif
*/

constexpr double my_pi = 3.141592653589793238462643383279502884;

#include <limits>
#include <cfloat>
#include <cstdlib>
#include <cstdio>
#include <cmath>
using namespace std;

#include <fstream>
#include <iostream>
#include <cstring>
#include <cstdio>
#include <vector>
#include <list>
#include <map>
#include <utility>
#include <unistd.h>

#include "rgraph.hpp"
#include "throwassert.hpp"

#include "RNM.hpp"
#include "fem.hpp"

#include "Mesh2dn.hpp"
#include "Mesh3dn.hpp"

#include "PlotStream.hpp"
double kscreenscale = 1; // to solve  bug on MacOS Catalina , wrong value in resize
extern long verbosity;
int glutscreenscale=1;//  High Resolution Explained: Features and Benefit
// add for the gestion of the endianness of the file.
//PlotStream::fBytes PlotStream::zott; //0123;
//PlotStream::hBytes PlotStream::zottffss; //012345678;
// ---- FH

using namespace Fem2D;
using std::numeric_limits;
const R pi=my_pi;//4*atan(1.);
using namespace std;

static int   nbSendForNextPlot=0,nbTimerNextPlot=0;
int debug=0;
int casemouse=0,keyact=0;
double gwait=0;//  no wait in second
#include "ffglut.hpp"

#include "ffthreads.hpp"

int version =0;
int subversion =0;

Thread::Id tidRead=0;
bool NoMorePlot=false;
bool NoMorePlotTilte=false;
ThePlot *currentPlot=0, *nextPlot=0;
bool inThreadRead=false;
FILE *datafile=0;

static  bool TryNewPlot( void );


void LauchNextRead();
void WaitNextRead();
THREADFUNC(ThreadRead,fd);

int kread=-1;


map<int,OneWindow *> AllWindows;
map<int,int>  Num2Windows;


int Fin(int code)
{
    WaitNextRead();
    if(!NoMorePlot && debug>2)
        cout << " exit before end  " << endl;
    if(NoMorePlot && !code) exit(NoMorePlot ? 0  : 1);
    if(code) exit(NoMorePlot ? 0  : 1);
    return 0;
}

int   ReadOnePlot(FILE *fp)
{
    int err=0;
    if(!fp) return -4;
    err= feof(fp) ;
    if(err) return -2;
    err= ferror(fp) ;
    if(err) return -3;

    PlotStream f(fp);
    f.set_binary_mode();
    const char *  magic2="#!ffglutdata2..";
    const char *  magic3="#!ffglutdata3..";
    const char *  magic3_1="#!ffglutdata3.1";
    const char *  magic3_2="#!ffglutdata3.2";
    const char *  magic4_0="#!ffglutdata4.0";
    const char *  magic4_1="#!ffglutdata4.1";
    /*

     change version 3.2 add colored curve
     */
    const int lmagic=strlen(magic2);
    char magicxx[32];
    err=0;
    // init ..
    if(kread==-1)
    {
        for(int i=0;i<lmagic;i++)
        { int c=getc(fp);
            if(i==0 && c == EOF) return -2; // empty file
            magicxx[i]=c;
        }
        magicxx[lmagic]='\0';
        if( strcmp(magicxx,magic2)==0)  version=2;
        else if( strcmp(magicxx,magic3)==0)  version=3;
        else if( strcmp(magicxx,magic3_1)==0)  version=3;
        else if( strcmp(magicxx,magic3_2)==0)  version=3;
        else if( strcmp(magicxx,magic4_0)==0)  version=4;
        else if( strcmp(magicxx,magic4_1)==0)  version=4;
        else err =1;

        if(err) {
            if(debug>2)
                cout << " Err read magic heading " << endl;
            goto Lreturn;
        }
        kread++;
        if(debug>2) cout << " Read entete " << version << endl;
        int c1 =getc(fp);
        if(c1==13)
            int c2 =getc(fp);

    }
    long cas;
    f >> cas;
    err=-1;
    if (feof(fp)) goto Lreturn ;
    if((debug > 2)) cout << " ReadOnePlot " << kread+1<< " cas = " << cas << " " << nextPlot << endl;
    if(cas==PlotStream::dt_newplot)
    {
        assert(nextPlot==0);
        nextPlot = new ThePlot(f,currentPlot,++kread);
        if(debug>1)
            cout << "\n\n\n next is build " << nextPlot<< " wait :" << nextPlot->wait << " -> " << kread <<  " gwait = " << gwait << "\n\n\n"<<endl;
        assert(nextPlot);
        err=0;
    }
    else
    {
        err=1;
        cout << " Error Cas inconnue (skip) " << endl;
    }
Lreturn:
    f.set_text_mode();
    return err;
}


void TimerNextPlot(int value)
{

    nbTimerNextPlot++;
    // the routine to  until the end of nextplot.
    // we use gluttimerfunc functionnaly
    //  remark, if we miss we retry.
    if(nbTimerNextPlot>1 && debug >2 ) cout << "       ######  Warning more than 1 nbTimerNextPlot" << nbTimerNextPlot << endl;
    value=min(1000,(value*3)/2);// try at leat every 1 second (not to heavy computation)
    if(TryNewPlot())
    {
        if(debug >9) cout << "    ####  TimerNextPlot TryNewPlot:: glutPostRedisplay "<< nbTimerNextPlot << " " << nbSendForNextPlot <<endl;
        nbSendForNextPlot--;// do the plot ..
        glutPostRedisplay();
    }
    else
    {
        if(debug >9) cout << "            ####  TimerNextPlot wait "<< nbTimerNextPlot << " " << nbSendForNextPlot<<endl;
        glutTimerFunc(value,TimerNextPlot,value);
    }
    nbTimerNextPlot--;
}

int SendForNextPlot()
{

    if(nbSendForNextPlot>0 && debug >2 ) cout << "       ######  Warning more than 1 SendForNextPlot" << nbSendForNextPlot+1 << endl;
    if(nbSendForNextPlot) return 0;
    nbSendForNextPlot++;

    //  to send a event to plot the date sheet.
    // and out a timer to wait to the end of read..
    // every 25/ second..  = 1000/25 = 40 ms
    if(NoMorePlot)
    {
        if(gwait )
        {usleep((useconds_t)(1e6*gwait)); Fin(0); }

        if((debug > 1)) cout << " send signal For Next plot, skip: No More Plot !  " <<  endl;
        nbSendForNextPlot--;
        return 0;
    }
    if((debug > 1)) cout << " Try to read read  plot "<< endl;
    //  put a timer for wait to the  end of read
    glutTimerFunc(40,TimerNextPlot,40);
    return 1;
}
static  bool TryNewPlot( void );





int  signep4(int i0,int i1,int i2,int i3)
{ // calcul du signe dans la permutation
    int s =1;
    if(i0>i1) s=-s,Exchange(i0,i1);
    if(i1>i2) s=-s,Exchange(i1,i2);
    if(i2>i3) s=-s,Exchange(i2,i3); // i3 max
    if(i0>i1) s=-s,Exchange(i0,i1);
    if(i1>i2) s=-s,Exchange(i1,i2); // i2 max < i
    if(i0>i1) s=-s,Exchange(i0,i1);
    return s;
}
inline R3 bary(const R3 K[4],R f[4],int i0,int i1,R v)
{
    R d=f[i0]-f[i1];
    assert(fabs(d)>1e-20);
    R l1= (f[i0] - v)/ d;  //  == 1 si v = f[i1]
    R l0 = 1. -l1;
    assert(l0 >=-1e-10 && l1 >= -1e-10);
    return K[i0]*l0 + K[i1]*l1; // == K[i1] si l1 ==1 => v = f[i1]
}
void drawisoTet(const R3 K[4],R f[4],R v)
{
    static const int  nvfaceTet[4][3]  ={{3,2,1}, {0,2,3},{ 3,1,0},{ 0,1,2}}  ;//{ {2,1,3},{0,2,3},{1,0,3},{0,1,2} };

    R3 P[4];
    int nP=0;
    int np[4]={},nm[4]={};
    int km=0,kp=0;
    for (int i=0;i<4;++i)
    {
        if(f[i]<=v) nm[km++]=i;
        if(f[i]>=v) np[kp++]=i;
    }

    int h=-1,b[3]={};
    if(kp==1 && km==3)
    {
        h = np[0];
        b[0]=nvfaceTet[h][0];
        b[1]=nvfaceTet[h][1];
        b[2]=nvfaceTet[h][2];
    }
    if(km==1 && kp == 3)
    {
        h = nm[0];
        b[0]=nvfaceTet[h][0];
        b[2]=nvfaceTet[h][1];
        b[1]=nvfaceTet[h][2];
    }
    if(kp==2 && km==2)
    {//  cas quad
        if(signep4(nm[0],nm[1],np[0],np[1]) < 0)
            Exchange(nm[0],nm[1]);
        //  le tet m[0],nm[1],np[0],np[1] est positif
        P[0]=bary(K,f,nm[0],np[0],v);
        P[1]=bary(K,f,nm[0],np[1],v);
        P[2]=bary(K,f,nm[1],np[1],v);
        P[3]=bary(K,f,nm[1],np[0],v);
        nP=4;
    }
    else if (h>=0)
    { // cas triangle
        P[0]=bary(K,f,h,b[0],v);
        P[1]=bary(K,f,h,b[1],v);
        P[2]=bary(K,f,h,b[2],v);
        nP=3;
    }


    if(nP)
    {
        if(nP>2)
        {
            R3 N(R3(P[0],P[1])^R3(P[0],P[2]));
            N /= N.norme();
            glNormal3d(N.x,N.y,N.z);
        }
        glBegin(GL_POLYGON);
        for(int i=0;i<nP;++i)
            glVertex3f(P[i].x, P[i].y,P[i].z); //
        glEnd();
    }

    //  verification de l'orientation

}


int dichotomie(const KN_<double>  &viso,R v)
{
    int i=0,j=viso.N(),k;
    if  (v <viso[0] || v >viso[j-1])
        return -1;
    while (i<j-1)
        if ( viso[k=(i+j)/2]> v) j=k;
        else i=k;
    return i;
}



int  ShowGlerror(const char *s)
{
    GLint error = glGetError();
    if ( error != GL_NO_ERROR )
        printf("Attention %s erreur : %x \n",s,error);
    return error;
}


//  def des couleurs de la tables
void DefColor(float & r, float & g, float & b,
              int k,int nb, bool hsv,bool grey,KN<R> colors)
{
    int nbcolors = colors.N()/3;
    if(k<=0) {  r=g=b=1.;} //  white
    else if (k==1)  { r=g=b=0.; } // black
    else if (k >= nb)   {  r=g=b=0.;} // black
    else if (grey) { float gg = 0.1+0.9*float(k-2)/(nb-3); r=g=b=gg;}
    else if (nbcolors<=1) {
        float h=float(k-2)/(nb-2),s=1.,v=1.;
        hsvToRgb(h,s,v,r,g,b);
        return;}
    else   { //  interpolation dans la table hsv
        int i= (k-2);
        int j0= i*(nbcolors-1) / (nb-2);
        int j1=j0+1;
        int i0=  j0*(nb-2)/(nbcolors-1);
        int i1=  j1*(nb-2)/(nbcolors-1);
        int j03=j0*3,j13=j1*3;
        float a=float(i1-i)/(i1-i0),a1=1-a;
        if (hsv)
        {
            float h = colors[j03+0]*a + colors[j13+0]*a1;
            float s = colors[j03+1]*a + colors[j13+1]*a1;
            float v = colors[j03+2]*a + colors[j13+2]*a1;
            hsvToRgb(h,s,v,r,g,b); }
        else
        {
            r = colors[j03+0]*a + colors[j13+0]*a1;
            g = colors[j03+1]*a + colors[j13+1]*a1;
            b = colors[j03+2]*a + colors[j13+2]*a1;
        }
    }

}

template<class Mesh>
void Plot(const Mesh & Th,bool fill,bool plotmesh,bool plotborder,ThePlot & plot,GLint gllists,int * lok)
{
    glDisable(GL_DEPTH_TEST);

    ShowGlerror("begin Mesh plot");
    glPolygonMode(GL_FRONT_AND_BACK,GL_LINE);
    R z1= plot.z0;
    R z2= plot.z0;


    double r=0,g=0,b=0;
    if((debug > 3)) cout<< " OnePlotMesh::Draw " << plotmesh << " " << plotborder << " " <<  Th.nbBrdElmts() << " " << z1 << " "  << z2 << endl;
    bool cc[3]= { plotborder , plotmesh && fill , plotmesh };
    int kk=0;
    if(cc[kk])
        if(lok[kk])   glCallList(gllists+kk);
        else
        {
            lok[kk]=1;
            glNewList(gllists+kk,GL_COMPILE_AND_EXECUTE ); // save  la list sans affichage
            glLineWidth(2*kscreenscale);
            glBegin(GL_LINES);
            for (int i=0;i<Th.nbBrdElmts();i++)
            {
                const typename  Mesh::BorderElement  & K(Th.be(i));
                plot.color(1+abs(K.lab));
                glVertex3d(K[0].x,K[0].y,z1);
                glVertex3d(K[1].x,K[1].y,z1);


            }
            glEnd();
            glLineWidth(kscreenscale);
            glEndList();  // fin de la list
        }
        else ;

    kk++;
    glEnable(GL_DEPTH_TEST);

    if(cc[kk])
    {
        if(lok[kk])   glCallList(gllists+kk);
        else
        {
            lok[kk]=1;
            glNewList(gllists+kk,GL_COMPILE_AND_EXECUTE ); // save  la list sans affichage
            glPolygonMode(GL_FRONT,GL_FILL);//GL_FILL
            glBegin(GL_TRIANGLES);
            for (int i=0;i<Th.nt;i++)
            {
                const typename  Mesh::Element & K(Th[i]);
                plot.color(K.lab?1+abs(K.lab):0);

                //glColor3d(r,g,b);
                glVertex3d(K[0].x,K[0].y,z2);
                glVertex3d(K[1].x,K[1].y,z2);
                glVertex3d(K[2].x,K[2].y,z2);

            }
            glEnd();
            glEndList();
        }
    }
    kk++;
    if(cc[kk])
    {
        glEnable(GL_DEPTH_TEST);
        if(lok[kk])   glCallList(gllists+kk);
        else
        {
            lok[kk]=1;
            glNewList(gllists+kk,GL_COMPILE_AND_EXECUTE ); // save  la list sans affichage
            glPolygonMode(GL_FRONT,GL_LINE);
            glBegin(GL_TRIANGLES);
            for (int i=0;i<Th.nt;i++)
            {
                const  typename  Mesh::Element  & K(Th[i]);
                plot.color(fill? 1 : 1+abs(K.lab));
                glVertex3d(K[0].x,K[0].y,z1);
                glVertex3d(K[1].x,K[1].y,z1);
                glVertex3d(K[2].x,K[2].y,z1);

            }

            glEnd();
            glEndList();  // fin de la list
        }
    }
    ShowGlerror("end Mesh plot");

}


void Plot(const Mesh3 & Th,bool fill,bool plotmesh,bool plotborder,ThePlot & plot,GLint gllists,int * lok)
{
    typedef Mesh3::BorderElement BE;
    typedef Mesh3::Element Tet;
    glEnable(GL_DEPTH_TEST);
    ShowGlerror("begin Mesh3 plot");

    glPolygonMode(GL_FRONT_AND_BACK,GL_LINE);

    R z1= plot.z0;
    R z2= plot.z0;

    double r=0,g=0,b=0;
    if((debug > 3)) cout<< " OnePlotMesh3::Draw " << plotmesh << " " << plotborder << " " <<  Th.nbBrdElmts() << " " << z1 << " "  << z2 << endl;
    bool cc[3]= { plotborder , plotborder && fill , plotmesh && fill };
    double saturation =plotmesh ? 1 :  0.25;
    int kk=0;
    if(Th.nbe==0)
    {
        if(lok[kk])   glCallList(gllists+kk);
        else
        { // draw all vertex
           glNewList(gllists+kk,GL_COMPILE_AND_EXECUTE ); // save  la list sans affichage
           glBegin(GL_POINTS);
            for(int i=0; i<Th.nv; ++i)
            {
             plot.color(1+Th(i).lab,saturation);
              glVertex3d(Th(i).x,Th(i).y,Th(i).z);
            }
            glEnd();
           glEndList();  // fin de la list
            
        }
    }
    else  if(cc[kk])
    {
        if(lok[kk])   glCallList(gllists+kk);
        else
        {
            lok[kk]=1;
            glNewList(gllists+kk,GL_COMPILE_AND_EXECUTE ); // save  la list sans affichage
            glLineWidth(kscreenscale);
            glAlphaFunc ( GL_GREATER, 0.1 ) ;
            glEnable(GL_ALPHA_TEST) ;
            if(!plotmesh)
            {
                glLineStipple(1, 0x300C);
                glEnable(GL_LINE_STIPPLE);
            }
            glBegin(GL_TRIANGLES);
            for (int i=0;i<Th.nbe;i++)
            {
                const BE & K(Th.be(i));
                plot.color(1+abs(K.lab),saturation);
                R3 N(R3(K[0],K[1])^R3(K[0],K[2]));
                N /= N.norme();
                glNormal3d(N.x,N.y,N.z);
                glVertex3d(K[0].x,K[0].y,K[0].z);
                glVertex3d(K[1].x,K[1].y,K[1].z);
                glVertex3d(K[2].x,K[2].y,K[2].z);
            }
            glEnd();
            glDisable(GL_LINE_STIPPLE);
            glLineWidth(kscreenscale);
            glDisable(GL_ALPHA_TEST) ;

            glEndList();  // fin de la list
        }
    }
    kk=2;
    if(cc[kk])
    {
        if(lok[kk])   glCallList(gllists+kk);
        else
        {
            lok[kk]=1;
            glNewList(gllists+kk,GL_COMPILE_AND_EXECUTE ); // save  la list sans affichage
            glLineWidth(kscreenscale);
            glPolygonMode(GL_FRONT,GL_FILL);//GL_FILL
            glBegin(GL_TRIANGLES);
            for (int i=0;i<Th.nbe;i++)
            {
                const BE & K(Th.be(i));
                plot.color(0,saturation);
                R3 N(R3(K[0],K[1])^R3(K[0],K[2]));
                N /= N.norme();
                glNormal3d(N.x,N.y,N.z);
                glVertex3d(K[0].x,K[0].y,K[0].z);
                glVertex3d(K[1].x,K[1].y,K[1].z);
                glVertex3d(K[2].x,K[2].y,K[2].z);
            }
            glEnd();
            glDisable(GL_LINE_STIPPLE);
            glLineWidth(kscreenscale);
            glDisable(GL_ALPHA_TEST) ;

            glEndList();  // fin de la list
        }
    }
    kk++;
    ShowGlerror("end Mesh3 plot");

}

void Plot(const MeshS & Th,bool fill,bool plotmesh,bool plotborder, ThePlot & plot,GLint gllists,int * lok, OneWindow *win)
{
    //glDisable(GL_DEPTH_TEST);

    ShowGlerror("begin MeshS plot");
    glPolygonMode(GL_FRONT_AND_BACK,GL_LINE);
    R z1= plot.z0;
    R z2= plot.z0;
    R coef = plot.coeff;
    bool pNormalT=plot.pNormalT;
    int nbN=plot.nbN;
    
    double r=0,g=0,b=0;
    if((debug > 3)) cout<< " OnePlotMeshS::Draw " << plotmesh << " " << plotborder << " " <<  Th.nbBrdElmts() << " " << z1 << " "  << z2 << endl;
    // plot.SetColorTable(16) ;
    bool cc[3]= { plotborder , plotmesh && fill , plotmesh };
    int kk=0;

    if(cc[kk])
        if(lok[kk])   glCallList(gllists+kk);
        else
        {
            lok[kk]=1;
            glNewList(gllists+kk,GL_COMPILE_AND_EXECUTE ); // save  la list sans affichage
            glLineWidth(2*kscreenscale);
            glBegin(GL_LINES);
            for (int i=0;i<Th.nbBrdElmts();i++)
            {
                const MeshS::BorderElement  & K(Th.be(i));
                plot.color(1+abs(K.lab));
                glVertex3d(K[0].x,K[0].y,K[0].z);
                glVertex3d(K[1].x,K[1].y,K[1].z);


            }
            glEnd();
            glLineWidth(kscreenscale);
            glEndList();  // fin de la list
        }
        else ;

    kk++;
    if(cc[kk])
    {
        if(lok[kk])   glCallList(gllists+kk);
        else
        {
            lok[kk]=1;
            glNewList(gllists+kk,GL_COMPILE_AND_EXECUTE ); // save  la list sans affichage
            glPolygonMode(GL_FRONT_AND_BACK,GL_FILL);//GL_FILL
            glBegin(GL_TRIANGLES);
            for (int i=0;i<Th.nt;i++)
            {
                const MeshS::Element & K(Th[i]);
                plot.color(K.lab?1+abs(K.lab):0);

                //glColor3d(r,g,b);
                glVertex3d(K[0].x,K[0].y,K[0].z);
                glVertex3d(K[1].x,K[1].y,K[1].z);
                glVertex3d(K[2].x,K[2].y,K[2].z);

            }
            glEnd();
            glEndList();
        }
    }
    kk++;
    if(cc[kk])
    {
        if(lok[kk])   glCallList(gllists+kk);
        else
        {
            lok[kk]=1;
            glNewList(gllists+kk,GL_COMPILE_AND_EXECUTE ); // save  la list sans affichage
            glPolygonMode(GL_FRONT,GL_LINE);
            glBegin(GL_TRIANGLES);
            for (int i=0;i<Th.nt;i++)
            {
                const MeshS::Element  & K(Th[i]);
                plot.color(fill? 1 : 1+abs(K.lab));
                glVertex3d(K[0].x,K[0].y,K[0].z);
                glVertex3d(K[1].x,K[1].y,K[1].z);
                glVertex3d(K[2].x,K[2].y,K[2].z);

            }

            glEnd();
            glEndList();  // fin de la list
        }
    }
    if (pNormalT) {
       if (debug>5) cout << " plot Normal element at triangles and the tangent to border " << pNormalT << endl;
            R h = 8*win->hpixel;
            coef = coef*sqrt(Th.mes/Th.nt);
            glLineWidth(0.5*kscreenscale);
            glColor3f(1,0,0);
            for (int i=0;i<Th.nbe;  i++ ) {
                typedef MeshS::BorderElement BE;
                typedef BE::Rd Rd;
                typedef BE::RdHat RdHat;
                const MeshS::BorderElement & K(Th.be(i));
                RdHat g(0.5);
                Rd G(K(g));
                Rd dd(K[0],K[1]);
                dd /= dd.norme();
                // fleche ou cone / orientation ???
                R3 nx(1.,0.,0.), ny(0.,1.,0.), nz(0.,0.,1.);
                // R3 dd = uv*(-h/l);
                R3 dnx = (dd^nx)*0.5, dny = (dd^ny)*0.5, dnz = (dd^nz)*0.5;
                dd *= -coef/dd.norme()/5;
                dnx *= -coef/dnx.norme()/5;
                dny *= -coef/dny.norme()/5;
                dnz *= -coef/dnz.norme()/5;

                glLineWidth(kscreenscale);
                glBegin(GL_LINES);
                win->Seg3(G,G+dd+dnx);
                win->Seg3(G,G+dd-dnx);
                win->Seg3(G,G+dd+dny);
                win->Seg3(G,G+dd-dny);
                win->Seg3(G,G+dd+dnz);
                win->Seg3(G,G+dd-dnz);
                glEnd();

                
            }

            for (int i=0;i<Th.nt; i = 0 ? i++ : i+=nbN) {
                const MeshS::Element & K(Th[i]);
                R3 NN=K.NormalTUnitaire();
                NN*=coef;
                R2 PtHat = R2::diag(1. / 3.);
                R3 A(K(PtHat));
                NN+=A;
                R3 dd(A,NN);
                double l = Max(sqrt((dd,dd)),1e-20);
                glBegin(GL_LINES);
                win->Seg3(A,NN);
                glEnd();
                
                // fleche ou cone / orientation ???
                R3 nx(1.,0.,0.), ny(0.,1.,0.), nz(0.,0.,1.);
                // R3 dd = uv*(-h/l);
                R3 dnx = (dd^nx)*0.5, dny = (dd^ny)*0.5, dnz = (dd^nz)*0.5;
                dd *= -coef/dd.norme()/5;
                dnx *= -coef/dnx.norme()/5;
                dny *= -coef/dny.norme()/5;
                dnz *= -coef/dnz.norme()/5;

                glLineWidth(kscreenscale);
                glBegin(GL_LINES);
                win->Seg3(NN,NN+dd+dnx);
                win->Seg3(NN,NN+dd-dnx);
                win->Seg3(NN,NN+dd+dny);
                win->Seg3(NN,NN+dd-dny);
                win->Seg3(NN,NN+dd+dnz);
                win->Seg3(NN,NN+dd-dnz);
                glEnd();
            }
            glLineWidth(kscreenscale);
        }
  

    ShowGlerror("end MeshS plot");

}




void Plot(const MeshL & Th,bool fill,bool plotmesh,bool plotborder,ThePlot & plot,GLint gllists,int * lok, OneWindow *win)
{
    glDisable(GL_DEPTH_TEST);
    
    ShowGlerror("begin MeshL plot");
    glPolygonMode(GL_FRONT_AND_BACK,GL_LINE);
    R z1= plot.z0;
    R z2= plot.z0;
    R coef = plot.coeff;
    bool pNormalT=plot.pNormalT;
    int nbN=plot.nbN;

    double r=0,g=0,b=0;
    if((debug > 3)) cout<< " OnePlotMeshL::Draw " << plotmesh << " " << plotborder << " " <<  Th.nbBrdElmts() << " " << z1 << " "  << z2 << endl;
    // plot.SetColorTable(16) ;
    bool cc[3]= { plotborder , plotmesh && fill , plotmesh };
    int kk=0;
    
    if(cc[kk])
        if(lok[kk])
            glCallList(gllists+kk);
        else {
            lok[kk]=1;
            glNewList(gllists+kk,GL_COMPILE_AND_EXECUTE ); // save  la list sans affichage
            glPointSize(3);
            glBegin(GL_POINTS);
            for (int i=0;i<Th.nbBrdElmts();i++) {
                const MeshL::BorderElement  & K(Th.be(i));
                plot.color(1+abs(K.lab));
                glVertex3d(K[0].x,K[0].y,K[0].z);
            }
            glEnd();
            glPointSize(1);
            glEndList();  // fin de la list
        }
        else ;
    
    kk++;
    if(cc[kk]) {
        if(lok[kk])
            glCallList(gllists+kk);
        else {
            lok[kk]=1;
            glNewList(gllists+kk,GL_COMPILE_AND_EXECUTE ); // save  la list sans affichage
            glLineWidth(2*kscreenscale);
            //glPolygonMode(GL_FRONT_AND_BACK,GL_FILL);//GL_FILL
            glBegin(GL_LINES);
            for (int i=0;i<Th.nt;i++) {
                const MeshL::Element & K(Th[i]);
                plot.color(K.lab?1+abs(K.lab):0);
                glVertex3d(K[0].x,K[0].y,K[0].z);
                glVertex3d(K[1].x,K[1].y,K[1].z);
                
            }
            glEnd();
            glLineWidth(kscreenscale);
            glEndList();
        }
    }
    kk++;
    if(cc[kk]) {
        if(lok[kk])
            glCallList(gllists+kk);
        else {
            lok[kk]=1;
            glNewList(gllists+kk,GL_COMPILE_AND_EXECUTE ); // save  la list sans affichage
            glPolygonMode(GL_FRONT,GL_LINE);
            glBegin(GL_LINES);
            for (int i=0;i<Th.nt;i++) {
                const MeshL::Element  & K(Th[i]);
                plot.color(fill? 1 : 1+abs(K.lab));
                glVertex3d(K[0].x,K[0].y,K[0].z);
                glVertex3d(K[1].x,K[1].y,K[1].z);
                
            }
            glEnd();
            glEndList();  // fin de la list
        }
    }
    if (pNormalT) {
        coef = coef*(Th.mes/Th.nt);
        glLineWidth(0.5*kscreenscale);
        glColor3f(1,0,0);

        for (int i=0;i<Th.nt; i = 0 ? i++ : i+=nbN) {
            const MeshL::Element & K(Th[i]);
            R3 NN=K.NormalTUnitaire();
            NN*=coef;
            R1 PtHat = R1::diag(1. / 2.);
            R3 A(K(PtHat));
            NN+=A;
            R3 dd(A,NN);
            double l = Max(sqrt((dd,dd)),1e-20);
            glBegin(GL_LINES);
            win->Seg3(A,NN);
            glEnd();

            // fleche ou cone / orientation ???
            R3 nx(1.,0.,0.), ny(0.,1.,0.), nz(0.,0.,1.);
            // R3 dd = uv*(-h/l);
            R3 dnx = (dd^nx)*0.5, dny = (dd^ny)*0.5, dnz = (dd^nz)*0.5;
            dd *= -coef/dd.norme()/5;
            dnx *= -coef/dnx.norme()/5;
            dny *= -coef/dny.norme()/5;
            dnz *= -coef/dnz.norme()/5;

            glLineWidth(kscreenscale);
            glBegin(GL_LINES);
            win->Seg3(NN,NN+dd+dnx);
            win->Seg3(NN,NN+dd-dnx);
            win->Seg3(NN,NN+dd+dny);
            win->Seg3(NN,NN+dd-dny);
            win->Seg3(NN,NN+dd+dnz);
            win->Seg3(NN,NN+dd-dnz);
            glEnd();
        }
        glLineWidth(kscreenscale);
    }
    ShowGlerror("end MeshL plot");
    
}



void OnePlotError::Draw(OneWindow *win)
{
    initlist();
    win->SetScreenView() ;
    glColor3d(0.,0.,0.);
    cout << " Error plot item empty " << item <<  endl;
    char s[100];
    snprintf(s,100,"Warning the item %ld fot the plot is empty",item);
    win->Show(s,4+item*2);
    win->SetView() ;
}

template<class Mesh>
void OnePlotMesh<Mesh>::Draw(OneWindow *win)
{
    initlist();
    ThePlot & plot=*win->theplot;
    Plot(*Th,plot.fill,true,true,plot,gllists,oklist);
    ShowGlerror("OnePlotMesh::Draw");
}

void OnePlotMesh3::Draw(OneWindow *win)
{
    initlist();
    ThePlot & plot=*win->theplot;
    Plot(*Th,plot.fill,true,true,plot,gllists,oklist);
    ShowGlerror("OnePlotMesh3::Draw");
}

void OnePlotMeshS::Draw(OneWindow *win)
{
    initlist();
    ThePlot & plot=*win->theplot;
    Plot(*Th,plot.fill,true,true,plot,gllists,oklist,win);
    ShowGlerror("OnePlotMeshS::Draw");
}

void OnePlotMeshL::Draw(OneWindow *win)
{
    initlist();
    ThePlot & plot=*win->theplot;
    Plot(*Th,plot.fill,true,true,plot,gllists,oklist,win);
    ShowGlerror("OnePlotMeshL::Draw");
}

void OnePlotFE3::Draw(OneWindow *win)
{
    initlist();

    ThePlot & plot=*win->theplot;
    ShowGlerror("begin OnePlotFE3 plot");
    ///    plot.SetDefIsoV();
    if(plot.fill && what%10==6)
        glPolygonMode(GL_FRONT_AND_BACK,GL_FILL);
    else
        glPolygonMode(GL_FRONT_AND_BACK,GL_LINE);
    bool  change=false;
    if( (what%10==6) )
    {
        change = win->changeiso ;
    }

    if(what%10==6)
        glEnable(GL_DEPTH_TEST);
    else
        glEnable(GL_DEPTH_TEST);
    win->setLighting();
    if(oklist[0] && !change)
        glCallList(gllists+0);
    else
    {
        oklist[0]=1;
        glNewList(gllists+0,GL_COMPILE_AND_EXECUTE); // save  la list sans affichage
        int nsubV=Psub.N();
        int nsubT=Ksub.N()/4;
        KN<R3> Pn(nsubV);
        int nK=v.N()/ Th->nt;
        for(int k=0,o=0;k<Th->nt;++k, o+= nK)
        {
            const Mesh3::Element & K=(*Th)[k];
            int ii[4];//
            R ff[4];
            R3 Pt[4];
            for(int i=0;i<nsubV;++i)
                Pn[i]=K(Psub[i]);
            int lK=0;
            if(what%10==6)
                for(int sk=0;sk<nsubT;++sk)
                {

                    for(int l=0;l<4;++l)
                    {
                        int iv= Ksub[lK++];
                        ii[l]= iv;
                        Pt[l]=Pn[iv];
                        ff[l]=v[o+iv];
                    }

                    for(int i=0;i< plot.Viso.N();++i)
                    {
                        plot.color(i+4);
                        drawisoTet( Pt,ff,plot.Viso[i]);
                    }

                }
        }
        glEndList();  // fin de la list
    }
    win->unsetLighting();
    ShowGlerror("b mesh  OnePlotFE plot");
    Plot(*Th,false,plot.drawmeshes,plot.drawborder,plot,gllists+2,&oklist[2]);
    ShowGlerror("OnePlotFE::Draw");
}





void OnePlotFES::Draw(OneWindow *win)
{

    initlist();
    ThePlot & plot=*win->theplot;
    ShowGlerror("begin OnePlotFE plot");
    win->setLighting();
    assert(win);
    const MeshS & Th(*this->Th);
    int nsubT= Ksub.N()/3;//NbOfSubTriangle(nsub);
    int nsubV=Psub.N();//NbOfSubInternalVertices(nsub);
    int nK=v.N()/ Th.nt;
    if(debug>4)
        cout << "\t\t\tOnePlotMesh::Draw  " <<v.N() << " ,nt " << Th.nt << " " << nK << " "
        << Psub.N() << " " << what << " ,nv " << Th.nv << " cas=" << cas << endl;
    ffassert(v.N()== Th.nt*nK);
    int o=0;
    KN<R3> Pn(Psub.N());
   
    if((debug > 10)) cout << " " <<nsubV  << " " << nsubT << endl;

    // compute Normal at vertice
    KN<R3> Nv(Th.nv);
    for (int it=0 ; it<Th.nv; it++) //
        Nv[it]=R3(0.,0.,0.); //
    for (int it=0 ; it<Th.nt; it++) {
        const MeshS::Element &K = (Th[it]);
           int iv;
        for (int i = 0; i < 3; i++) {
            iv = Th.operator( )(K[i]);
        Nv[iv]+=K.mesure()*K.NormalT();
        }
    }
    for (int i=0 ; i<Th.nv; i++)
        Nv[i]/=Nv[i].norme();
            
  if(plot.fill && what%10==8)
        glPolygonMode(GL_FRONT_AND_BACK,GL_FILL);
    else
        glPolygonMode(GL_FRONT_AND_BACK,GL_LINE);

    if(what%10==9)
        glDisable(GL_DEPTH_TEST);
    else
        glEnable(GL_DEPTH_TEST);

    R coef = plot.coeff;
    double xmin,xmax,ymin,ymax;
    win->getcadre(xmin,xmax,ymin,ymax);
    R cc = win->hpixel*40;
    R kk = 4*win->hpixel;
    if(plot.ArrowSize>0) kk=win->hpixel*max(win->width*plot.ArrowSize/100.,1.);

    int klist=0;
    bool  change=false;
    if( (what%10==8) )
    {
        if ( plot.fill) klist=1;
        change = win->changeiso ;
    }
    else if (what%10==9)
        change  =  win->changearrow ;
    if(debug>9)
        cout << change << " " << klist << " ... " << oklist[klist] << "  fill = "
        <<  plot.fill <<  " " <<  coef << endl;
    if (oklist[klist] && ! change )
        glCallList(gllists+klist);
    else
    {
        oklist[klist]=1;
        glNewList(gllists+klist,GL_COMPILE_AND_EXECUTE); // save  la list aevc  affichage
        if(debug>100)
            cout << win->Bmin << ", Bmax:   " << win->Bmax << " Viso: "<< plot.Viso << endl;
        for(int k=0;k<Th.nt;++k, o+= nK)
        {
            const typename MeshS::Element & K=Th[k];
            int iv[3];
            for (int i = 0; i < 3; i++)
            iv[i] = Th.operator( )(K[i]);
                
            for(int i=0;i<nsubV;++i)
                Pn[i]=K(Psub[i]);// local to global coord.
             
            if(what%10==8)
                for(int sk=0;sk<nsubT;++sk)
                {
                    int i0= Ksub[sk*3+0];//numSubTriangle(nsub,sk,0);
                    int i1= Ksub[sk*3+1];//numSubTriangle(nsub,sk,1);
                    int i2= Ksub[sk*3+2];//numSubTriangle(nsub,sk,2);
               
                    R ff[3]={v[o+i0],v[o+i1],v[o+i2]};
                    R3 Pt[3]={Pn[i0],Pn[i1],Pn[i2]};
                    R3 Nt[3]={Nv[iv[0]],Nv[iv[1]],Nv[iv[2]]};
                    if(plot.fill)
                       plot.DrawIsoTfill( Pt, ff, Nt, plot.Viso,plot.Viso.N(),win->changePlotdim,win->viewdim);
                    else
                       plot.DrawIsoT( Pt, ff, Nt, plot.Viso,plot.Viso.N(),win->changePlotdim,win->viewdim);
                }
            else if (what%10==9)
                for (int i=0,j=0;i<nsubV;++i) {
                    R3 P=Pn[i];
                    R3 uv(v[o+j],v[o+j+1],v[o+j+2]);
                    j+=3;
                    R l = Max(sqrt((uv,uv)),1e-30) ;
                    int col = 2+dichotomie(plot.Varrow,l);
                    if(debug>100)
                        cout << uv << " l= " << l << " " << coef << " " <<col <<  endl;
                    plot.color(2+col);
                    uv *=coef;
                    
                    l *=coef;
                    R3 dd=uv*(-kk/l);
                    R ndd=dd.norme();
                    dd/=ndd;
                    R3 nx(1.,0.,0.), ny(0.,1.,0.), nz(0.,0.,1.);
                    R3 dnx = (dd^nx)*0.5, dny = (dd^ny)*0.5, dnz = (dd^nz)*0.5;
                   
               
                   dnx *= -coef*ndd/dnx.norme();
                   dny *= -coef*ndd/dny.norme();
                   dnz *= -coef*ndd/dnz.norme();
                    
                    if (l*10000.< kk) continue;
                    if (l < kk)
                        uv *= (kk/l)*coef;
                    else if (l> cc)
                        uv *= (cc/l)*coef;
                   
                    dd*=ndd*coef; // denormalize
                    
                    
                    glBegin(GL_LINES);
                    win->Seg3(P,P+uv);

                    if (10*l>kk) {
                        win->Seg3(P+uv,P+uv+dd+dnx);
                        win->Seg3(P+uv,P+uv+dd-dnx);
                        win->Seg3(P+uv,P+uv+dd+dny);
                        win->Seg3(P+uv,P+uv+dd-dny);
                        win->Seg3(P+uv,P+uv+dd+dnz);
                        win->Seg3(P+uv,P+uv+dd-dnz);
                    }
                    glEnd();
                }
        }
        glEndList();  // fin de la list

}
    ShowGlerror("b mesh  OnePlotFES plot");
    win->unsetLighting();
    Plot(Th,false,plot.drawmeshes,plot.drawborder,plot,gllists+2,&oklist[2],win);
    ShowGlerror("OnePlotFES::Draw");
}

void OnePlotFEL::Draw(OneWindow *win)
{
    
    initlist();
    ThePlot & plot=*win->theplot;
    ShowGlerror("begin OnePlotFE plot");
    win->setLighting();
    assert(win);
    const MeshL & Th(*this->Th);
    int nsubT= Ksub.N()/2;
    int nsubV=Psub.N();
    int nK=v.N()/ Th.nt;
    if(debug>4)
        cout << "\t\t\tOnePlotMesh::Draw  " <<v.N() << " ,nt " << Th.nt << " " << nK << " "
        << Psub.N() << " " << what << " ,nv " << Th.nv << " cas=" << cas << endl;
    ffassert(v.N()== Th.nt*nK);
    int o=0;
    KN<R3> Pn(Psub.N());
    if((debug > 10)) cout << " " <<nsubV  << " " << nsubT << endl;
    
    // compute Normal at vertice
    KN<R3> Nv(Th.nv);
    for (int it=0 ; it<Th.nv; it++) //
        Nv[it]=R3(0.,0.,0.); //
    for (int it=0 ; it<Th.nt; it++) {
        const MeshL::Element &K = (Th[it]);
           int iv;
        for (int i = 0; i < 2; i++) {
            iv = Th.operator( )(K[i]);
        Nv[iv]+=K.mesure()*K.NormalT();
        }
    }
    for (int i=0 ; i<Th.nv; i++)
        Nv[i]/=Nv[i].norme();
    
    if(plot.fill && (what == 14 || what == 20 || what == 114 || what == 120))
        glPolygonMode(GL_FRONT_AND_BACK,GL_FILL);
    else
        glPolygonMode(GL_FRONT_AND_BACK,GL_LINE);
    
    if(what==15 || what==21)
        glDisable(GL_DEPTH_TEST);
    else
        glEnable(GL_DEPTH_TEST);
    
    R coef = plot.coeff;
    double xmin,xmax,ymin,ymax;
    win->getcadre(xmin,xmax,ymin,ymax);
    R kk = 4*win->hpixel;
    if(plot.ArrowSize>0) kk=win->hpixel*max(win->width*plot.ArrowSize/100.,1.);
    
    int klist=0;
    bool  change=false;
    if(what == 14 || what == 20 || what == 114 || what == 120) {
        if ( plot.fill) klist=1;
        change = win->changeiso ;
    }
    else if (what==15 || what==21)
        change  =  win->changearrow ;
    if(debug>9)
        cout << change << " " << klist << " ... " << oklist[klist] << "  fill = "
        <<  plot.fill <<  " " <<  coef << endl;
    if (oklist[klist] && ! change )
        glCallList(gllists+klist);
    else {
        oklist[klist]=1;
        glNewList(gllists+klist,GL_COMPILE_AND_EXECUTE); // save  la list aevc  affichage
        if(debug>100)
            cout << win->Bmin << ", Bmax:   " << win->Bmax << " Viso: "<< plot.Viso << endl;
        for(int k=0;k<Th.nt;++k, o+= nK) {
            const typename MeshL::Element & K=Th[k];
            int iv[2];
            for (int i = 0; i < 2; i++)
                iv[i] = Th.operator( )(K[i]);
           for(int i=0;i<nsubV;++i)
                Pn[i]=K(Psub[i]);// local to global coord.
            if(what == 14 || what == 20 || what == 114 || what == 120) {
                for(int sk=0;sk<nsubT;++sk) {
                    int i0= Ksub[sk*2+0], i1=Ksub[sk*2+1];
                    R ff[2]={v[o+i0],v[o+i1]};
                    R3 Pt[2]={Pn[i0],Pn[i1]};
                    R3 Nt[2]={Nv[iv[0]],Nv[iv[1]]};
                    plot.DrawIsoEfill( Pt, ff, Nt, plot.Viso,plot.Viso.N(),win->changePlotdim,win->viewdim);
                }
            }
            else
                ffassert(0);
            
        }
        glEndList();  // fin de la list
        
    }
    ShowGlerror("b mesh  OnePlotFEL plot");
    win->unsetLighting();
    Plot(Th,false,plot.drawmeshes,plot.drawborder,plot,gllists+2,&oklist[2],win);
    ShowGlerror("OnePlotFEL::Draw");
}


template<class Mesh>
OnePlotFE<Mesh>::OnePlotFE(const Mesh *T,long w,PlotStream & f)
:OnePlot(w,2,5),Th(T),cas(2)
{
    R2 P0,P1;
    Th->BoundingBox(P0,P1);
    Pmin=P0;
    Pmax=P1;
    if(version==2)
    {
        long nsub;

        f>> nsub;
        int nsubT=NbOfSubTriangle(nsub);
        int nsubV=NbOfSubInternalVertices(nsub);

        Psub.resize(nsubV);
        Ksub.resize(nsubT*3);
        for(int i=0,j=0;i<nsubV;++i)
            Psub[i]=SubInternalVertex(nsub,i);

        for(int sk=0,p=0;sk<nsubT;++sk)
            for(int i=0;i<3;++i,++p)
                Ksub[p]=numSubTriangle(nsub,sk,i);


    }
    else
    {      f >> Psub ;
        f >> Ksub ;
        if(debug>2) {
            cout << " Psub " << Psub << endl;
            cout << " Ksub " << Ksub << endl;}

    }
    if(what<10)
        f>> v;
    else
    {
        f>> vc;
        vc2v();
    }
    cas =2;
    vc2v();
    if(debug>3) cout << "OnePlotFE" << Th <<" " << what<< " " << Psub.N() << " " << Ksub.N()/3 <<" " << v.N() << " cas " << cas << endl;
    ffassert(f.good());

}



template<class Mesh>
bool  OnePlotFE<Mesh>::vc2v()
{
    bool ret=false;
    if(what>=10)
    {
        ret=true;
        int n = vc.N();
        if(v.size() !=n)
            v.resize(n);
        for(int i=0;i<n;++i)
            if( cas%4== 0) v[i] = vc[i].real();
            else if( cas%4== 1) v[i] = vc[i].imag();
            else if( cas%4== 2) v[i] = abs(vc[i]);
            else if( cas%4== 3) v[i] = arg(vc[i]);
    }

    if(what%10==1)
    {
        fmin = min(fmin,v.min());
        fmax = max(fmax,v.max());
    }
    else if (what%10==2)
    {
        int n= v.N()/2;
        for (int i=0,j=0;i<n;i++, j+=2)
        {
            R2 u(v[j],v[j+1]);
            vmax2 = max(vmax2,u.norme2());
        }
    }
    return ret;
}

bool  OnePlotFE3::vc2v()
{
    bool ret=false;
    if(what>=10)
    {
        ret=true;
        int n = vc.N();
        if(v.size() !=n)
            v.resize(n);
        for(int i=0;i<n;++i)
            if( cas%4== 0) v[i] = vc[i].real();
            else if( cas%4== 1) v[i] = vc[i].imag();
            else if( cas%4== 2) v[i] = abs(vc[i]);
            else if( cas%4== 3) v[i] = arg(vc[i]);
    }


    if(what%10==6)
    {
        fmin = min(fmin,v.min());
        fmax = max(fmax,v.max());
    }
    else if (what%10==7)
    {

        int n= v.N()/3;
        for (int i=0,j=0;i<n;i++, j+=3)
        {
            R3 u(v[j],v[j+1],v[j+2]);
            vmax2 = max(vmax2,u.norme2());
        }
    }
    return ret;
}




bool  OnePlotFES::vc2v()
{
    bool ret=false;
    if(what>=10)
    {
        ret=true;
        int n = vc.N();
        if(v.size() !=n)
            v.resize(n);
        for(int i=0;i<n;++i)
            if( cas%4== 0) v[i] = vc[i].real();
            else if( cas%4== 1) v[i] = vc[i].imag();
            else if( cas%4== 2) v[i] = abs(vc[i]);
            else if( cas%4== 3) v[i] = arg(vc[i]);
    }


    if(what%10==8)
    {
        fmin = min(fmin,v.min());
        fmax = max(fmax,v.max());
    }
    else if (what%10==9)
    {

        int n= v.N()/3;
        for (int i=0,j=0;i<n;i++, j+=3)
        {
            R3 u(v[j],v[j+1],v[j+2]);
            vmax2 = max(vmax2,u.norme2());
        }
    }
    return ret;
}


bool  OnePlotFEL::vc2v()
{
    bool ret=false;
    if(what>=16)
    {
        ret=true;
        int n = vc.N();
        if(v.size() !=n)
            v.resize(n);
        for(int i=0;i<n;++i)
            if( cas%4== 0) v[i] = vc[i].real();
            else if( cas%4== 1) v[i] = vc[i].imag();
            else if( cas%4== 2) v[i] = abs(vc[i]);
            else if( cas%4== 3) v[i] = arg(vc[i]);
    }
    
    
    if(what == 14 || what == 20 || what == 114 || what == 120)
    {
        fmin = min(fmin,v.min());
        fmax = max(fmax,v.max());
    }
    else if (what==15 || what==21)
    {
        
        int n= v.N()/3;
        for (int i=0,j=0;i<n;i++, j+=3)
        {
            R3 u(v[j],v[j+1],v[j+2]);
            vmax2 = max(vmax2,u.norme2());
        }
    }
    return ret;
}
template<class Mesh>
void OnePlotFE<Mesh>::Draw(OneWindow *win)
{
    initlist();
    ThePlot & plot=*win->theplot;
    ShowGlerror("begin OnePlotFE plot");
    win->setLighting();
    assert(win);
    const Mesh & Th(*this->Th);
    int nsubT= Ksub.N()/3;//NbOfSubTriangle(nsub);
    int nsubV=Psub.N();//NbOfSubInternalVertices(nsub);
    int nK=v.N()/ Th.nt;
    if(debug>4)
        cout << "\t\t\tOnePlotMesh::Draw  " <<v.N() << " ,nt " << Th.nt << " " << nK << " "
        << Psub.N() << " " << what << " ,nv " << Th.nv << " cas=" << cas << endl;
    ffassert(v.N()== Th.nt*nK);
    ffassert(nK == nsubV*(what%10));
    int o=0;
    KN<R2> Pn(Psub.N());
    if((debug > 10)) cout << " " <<nsubV  << " " << nsubT << endl;

    if(plot.fill && what%10==1)
        glPolygonMode(GL_FRONT_AND_BACK,GL_FILL);
    else
        glPolygonMode(GL_FRONT_AND_BACK,GL_LINE);

    if(what%10==2)
        glDisable(GL_DEPTH_TEST);
    else
        glEnable(GL_DEPTH_TEST);

    R coef = plot.coeff;
    double xmin,xmax,ymin,ymax;
    win->getcadre(xmin,xmax,ymin,ymax);
    R kk = 4*win->hpixel;
    if(plot.ArrowSize>0) kk=win->hpixel*max(win->width*plot.ArrowSize/100.,1.);
    R cc = win->hpixel*40;

    int klist=0;
    bool  change=false;
    if( (what%10==1) )
    {
        if ( plot.fill) klist=1;
        change = win->changeiso ;
    }
    else if (what%10==2)
        change  =  win->changearrow ;
    if(debug>9)
        cout << change << " " << klist << " ... " << oklist[klist] << "  fill = "
        <<  plot.fill <<  " " <<  coef << endl;
    if (oklist[klist] && ! change )
        glCallList(gllists+klist);
    else
    {
        oklist[klist]=1;
        glNewList(gllists+klist,GL_COMPILE_AND_EXECUTE); // save  la list aevc  affichage
        if(debug>100)
            cout << win->Bmin << ", Bmax:   " << win->Bmax << " Viso: "<< plot.Viso << endl;
        for(int k=0;k<Th.nt;++k, o+= nK)
        {
            const typename Mesh::Element & K=Th[k];
            for(int i=0;i<nsubV;++i)
                Pn[i]=K(Psub[i]);// local to global coord.
            if(what%10==1)
                for(int sk=0;sk<nsubT;++sk)
                {
                    int i0= Ksub[sk*3+0];//numSubTriangle(nsub,sk,0);
                    int i1= Ksub[sk*3+1];//numSubTriangle(nsub,sk,1);
                    int i2= Ksub[sk*3+2];//numSubTriangle(nsub,sk,2);

                    R ff[3]={v[o+i0],v[o+i1],v[o+i2]};
                    R2 Pt[3]={Pn[i0],Pn[i1],Pn[i2]};
                    if(plot.fill)
                        plot.DrawIsoTfill( Pt, ff, plot.Viso,plot.Viso.N());
                    else
                        plot.DrawIsoT( Pt, ff, plot.Viso,plot.Viso.N());
                }
            else // what ==2
                for (int i=0,j=0;i<nsubV;++i)
                {
                    R2 P=Pn[i];
                    R2 uv(v[o+j],v[o+j+1]);
                    j+=2;
                    R  l = Max(sqrt((uv,uv)),1e-30) ;
                    int col = 2+dichotomie(plot.Varrow,l);
                    if(debug>100)
                        cout << uv << " l= " << l << " " << coef << " " <<col <<  endl;

                    plot.color(2+col);
                    uv = coef*uv;
                    l *= coef;
                    R2 dd = uv*(-kk/l);
                    R2 dn = dd.perp()*0.5;
                    if (l*10000.< kk) continue;
                    if (l < kk)
                        uv = uv*(kk/l);
                    else if (l> cc)
                        uv = uv*(cc/l);
                    glBegin(GL_LINES);

                    win->Seg(P,P+uv);

                    if (10*l>kk) {
                        win->Seg(P+uv,P+uv+dd+dn);
                        win->Seg(P+uv,P+uv+dd-dn);
                    }
                    glEnd();
                }

        }
        glEndList();  // fin de la list
    }

    ShowGlerror("b mesh  OnePlotFE plot");
    win->unsetLighting();
    Plot(Th,false,plot.drawmeshes,plot.drawborder,plot,gllists+2,&oklist[2]);
    ShowGlerror("OnePlotFE::Draw");
}

template<class Mesh>
void OnePlotFE<Mesh>::dyn_bfv(OneWindow *win,R & fmn,R &fmx,R & vmn2,R & vmx2) const
{
    const Mesh & Th(*this->Th);
    int nsubT= Ksub.N()/3;//NbOfSubTriangle(nsub);
    int nsubV=Psub.N();//NbOfSubInternalVertices(nsub);
    int nK=v.N()/ Th.nt;
    ffassert(v.N()== Th.nt*nK);
    ffassert(nK == nsubV*(what%10));
    int o=0;
    KN<R2> Pn(Psub.N());
    KN<R3> P3(Psub.N());
    double xmin,xmax,ymin,ymax;
    KN<int> inCadre(nsubV);
    win->getcadre(xmin,xmax,ymin,ymax);
    bool ccc=false;
    bool ddd=false;
    if(ddd)
        cout << " dyn__ .. " << endl;
    for(int k=0;k<Th.nt;++k, o+= nK)
    {
        const typename Mesh::Element & K=Th[k];
        inCadre=0;
        for(int i=0;i<nsubV;++i)
            Pn[i]=K(Psub[i]);// local to global coord.
        for(int i=0;i<nsubV;++i)
        {
            double f=0;
            if(what%10==1) f=v[o+i];
            gluProject(Pn[i].x,Pn[i].y,f,win->modelMatrix,win->projMatrix,win->viewport,
                       &P3[i].x,&P3[i].y,&P3[i].z);
            if(ddd)
                cout  <<P3[i]  << ", " ;

        }// local to global coord.
        if(ddd)
            cout << endl;
        for(int sk=0;sk<nsubT;++sk)
        {
            int i1=Ksub[sk*3+0], i2=Ksub[sk*3+1], i3=Ksub[sk*3+2];
            R3 P0= Minc(Minc(P3[i1],P3[i2]),P3[i3]);
            R3 P1= Maxc(Maxc(P3[i1],P3[i2]),P3[i3]);
            if( win->InRecScreen(P0,P1))
            {
                if(debug>100)
                    cout << " ???  " << P0 << " " << P1 << " ,  " << win->Bmin
                    << " , " << win->Bmax << endl;
                inCadre[i1]=2;
                inCadre[i2]=2;
                inCadre[i3]=2;
            }
        }
        for (int i=0,j=0;i<nsubV;++i)
            if(inCadre[i])
            {
                ccc=true;
                if(what%10==1 )
                {
                    R f=v[o+i];
                    fmn=min(f,fmn);
                    fmx=max(f,fmx);

                }
                else // what ==2

                {
                    R2 uv(v[o+j],v[o+j+1]);
                    j+=2;
                    R  l =(uv,uv) ;
                    vmn2=min(l,vmn2);
                    vmx2=max(l,vmx2);
                }
            }
        if(debug>100 && ccc)
            cout << " dny_bfv :  "  << fmn << " " << fmx << " " << sqrt(vmn2) << " " << sqrt(vmx2)
            <<  " : " << Pn[0] << endl;

    }
}

OnePlotCurve::OnePlotCurve(PlotStream & f,int nfield,ThePlot *theplot)
:OnePlot(3,2,1),cas(0)
{
    f >> xx>>yy;
    if( nfield >=3)
        f >> zz;
    if( nfield ==4)
        f >> cc;
    ffassert(f.good());
    ffassert(xx.N() && yy.N() && xx.N() == yy.N());
    Pmin=Minc(Pmin,R3(xx.min(),yy.min(),Pmin.z));
    Pmax=Maxc(Pmax,R3(xx.max(),yy.max(),Pmax.z));
    if(zz.N())
    {
        Pmin.z = Min(Pmin.z,zz.min());
        Pmax.z = Max(Pmax.z,zz.max());
        if( cc.N() ==0)
        {
            fmax = Max(fmax,zz.max());
            fmin = Min(fmin,zz.min());
            theplot->withiso=true;
        }

    }
    else
        Pmin.z=Pmax.z=0.; // Bof Bof .. FH Juin 2019 ...
    if( cc.N() )
    {
        fmax = Max(fmax,cc.max());
        fmin = Min(fmin,cc.min());
        theplot->withiso=true;
    }
    if(debug>3) cout << " OnePlotCurve nbfield "<< nfield << " max, N= " << xx.max() << " "
        << xx.N() << ", " << yy.max() << " " << yy.N() << " "<< zz.N() << " " << cc.N() << " f " << fmin << " " << fmax << endl;;

}

void OnePlotCurve::dyn_bfv(OneWindow *win,R & fmn,R &fmx,R & vmn2,R & vmx2) const
{
    if( cc.N() == xx.N())
    {
        ; // afaire ????
    }
}
void OnePlotCurve::Draw(OneWindow *win)
{
    initlist();
    ThePlot & plot= *win->theplot;
    double z = plot.z0;
    if(debug>3) cout << " OnePlotCurve::Draw " << (cc.N() != xx.N()) << endl;
    if(cas%2)
        glBegin(GL_POINTS);
    else
        glBegin(GL_LINE_STRIP);
    plot.color(2);
    if( (zz.N()!=xx.N())  && (cc.N()==0)  )
        for (int i=0;i<xx.N();i++)
            glVertex3d(xx[i],yy[i],z);
    else if (cc.N()==0)
        for (int i=0;i<xx.N();i++)
            glVertex3d(xx[i],yy[i],zz[i]);
    else
        for (int i=0;i<xx.N();i++)
        {
            int col = 2+dichotomie(plot.Viso,cc[i]);
            if(col<1) col=1;
            if(col>plot.Viso.N()) col=plot.Viso.N();
            plot.color(col);
            glVertex3d(xx[i],yy[i],zz[i]);
        }

    glEnd();

}

void OnePlotBorder::Draw(OneWindow *win)
{
    initlist();

    glDisable(GL_DEPTH_TEST);
    ThePlot & plot= *win->theplot;
    R h = 10*win->hpixel*kscreenscale;
    double z = plot.z0;
    plot.SetColorTable(16) ;

    if(win->plotdim==3)
    for(int i=0;i<data.size() ;++i) {
        vector<pair<long,R3> > & v=data[i];
        ShowGlerror("end OnePlotBorder::Draw  1");

        for(int j=1;j<v.size();++j) {
            plot.color(2+v[j].first);
            R3 Po(v[j-1].second), Pn(v[j].second);
            R3 uv(Po,Pn);
            double l = Max(sqrt((uv,uv)),1e-20);
            R3 nx(1.,0.,0.), ny(0.,1.,0.), nz(0.,0.,1.);
            R3 dd = uv*(-h/l);
            R3 dnx = (dd^nx)*0.7, dny = (dd^ny)*0.7, dnz = (dd^nz)*0.7;
            
            glLineWidth(2*kscreenscale);
            glBegin(GL_LINES);
            win->Seg3(Po,Pn);
            glEnd();

            glLineWidth(kscreenscale);
            glBegin(GL_LINES);
            if(j!=1) {
              win->Seg3(Po,Po+dd+dnx);
              win->Seg3(Po,Po+dd-dnx);
              win->Seg3(Po,Po+dd+dny);
              win->Seg3(Po,Po+dd-dny);
              win->Seg3(Po,Po+dd+dnz);
              win->Seg3(Po,Po+dd-dnz);
            }
            glEnd();
        }
        ShowGlerror("end OnePlotBorder::Draw  2");

        glPointSize(7);
        glBegin(GL_POINTS);
        int l= v.size()-1;
        plot.color(2+v[0].first);
        glVertex3d(v[0].second.x,v[0].second.y,v[0].second.z);
        plot.color(2+v[l].first);
        glVertex3d(v[l].second.x,v[l].second.y,v[l].second.z);
        glEnd();
        glPointSize(1);
        ShowGlerror("end OnePlotBorder::Draw  3");
    }
    
    else if(win->plotdim==2)
    for(int i=0;i<data.size() ;++i) {
        vector<pair<long,R3> > & v=data[i];
        ShowGlerror("end OnePlotBorder::Draw  1");

        for(int j=1;j<v.size();++j) {
            plot.color(2+v[j].first);
            R2 Po(v[j-1].second.p2()), Pn(v[j].second.p2());
            R2 uv(Po,Pn);
            double l = Max(sqrt((uv,uv)),1e-20);

            R2 dd = uv*(-h/l);
            R2 dn = dd.perp()*0.5;
            glLineWidth(2*kscreenscale);
            glBegin(GL_LINES);
            win->Seg(Po,Pn);
            glEnd();

            glLineWidth(kscreenscale);
            glBegin(GL_LINES);
            if(j!=1)
            {
                win->Seg(Po,Po+dd+dn);
                win->Seg(Po,Po+dd-dn);
            }
            glEnd();
        }

        ShowGlerror("end OnePlotBorder::Draw  2");

        glPointSize(7);
        glBegin(GL_POINTS);
        int l= v.size()-1;
        plot.color(2+v[0].first);
        glVertex3d(v[0].second.x,v[0].second.y,z);
        plot.color(2+v[l].first);
        glVertex3d(v[l].second.x,v[l].second.y,z);
        glEnd();
        glPointSize(1);
        ShowGlerror("end OnePlotBorder::Draw  3");
    }
    
    
    
    
    
    
    ShowGlerror("end OnePlotBorder::Draw");

}


inline void plotquadx(float y, float iy, float z, float iz, float x1, bool outline = 0){
  glVertex3d(x1, y, z);
  glVertex3d(x1, y+iy, z);
  if (outline) glVertex3d(x1, y+iy, z);
  glVertex3d(x1, y+iy, z+iz);
  glVertex3d(x1, y+iy, z+iz);
  glVertex3d(x1, y, z+iz);
  if (outline) glVertex3d(x1, y, z+iz);
  glVertex3d(x1, y, z);
}

inline void plotquady(float x, float ix, float z, float iz, float y1, bool outline = 0){
  glVertex3d(x, y1, z);
  glVertex3d(x+ix, y1, z);
  if (outline) glVertex3d(x+ix, y1, z);
  glVertex3d(x+ix, y1, z+iz);
  glVertex3d(x+ix, y1, z+iz);
  glVertex3d(x, y1, z+iz);
  if (outline) glVertex3d(x, y1, z+iz);
  glVertex3d(x, y1, z);
}

inline void plotquadz(float x, float ix, float y, float iy, float z1, bool outline = 0){
  glVertex3d(x, y, z1);
  glVertex3d(x+ix, y, z1);
  if (outline) glVertex3d(x+ix, y, z1);
  glVertex3d(x+ix, y+iy, z1);
  glVertex3d(x+ix, y+iy, z1);
  glVertex3d(x, y+iy, z1);
  if (outline) glVertex3d(x, y+iy, z1);
  glVertex3d(x, y, z1);
}

void OnePlotHMatrix::Draw(OneWindow *win)
{
  if (si <= 0 || sj <= 0)
    return;

  R scalez, zeps, dx, dy, dz;

  if (win->plotdim==2) {
    glDisable(GL_DEPTH_TEST);
    scalez = 0;
    zeps = 0;
    dx = 0;
    dy = 0;
    dz = 0;
  }
  else {
    glEnable(GL_DEPTH_TEST);
    scalez = 0.5;
    zeps = 0.001;
    dx = -5e-4*(win->Pvue3.x - win->cam.x);
    dy = -5e-4*(win->Pvue3.y - win->cam.y);
    dz = -5e-4*(win->Pvue3.z - win->cam.z);
  }

  glPolygonMode(GL_FRONT_AND_BACK,GL_FILL);

  R z1= 0;

  glBegin(GL_TRIANGLES);
  for (int i=0;i < nbdense; i++) {
    std::pair<int,int>& offset = offsetsdense[i];
    std::pair<int,int>& size = sizesdense[i];
    z1 = scalez;
    if (size.first > 1 || size.second > 1) {
      glColor3f(1,0,0); //glColor3f((20.)/255,(80.)/255,(20.)/255);
      plotquadz((float)offset.second/sj, (float)size.second/sj, 1.-(float)offset.first/si, -(float)size.first/si, z1);

      if (win->plotdim==3) {
        plotquadx(1.-(float)offset.first/si, -(float)size.first/si, 0, z1, (float)offset.second/sj);
        plotquadx(1.-(float)offset.first/si, -(float)size.first/si, 0, z1, (float)(offset.second+size.second)/sj);
        plotquady((float)offset.second/sj, (float)size.second/sj, 0, z1, 1.-(float)offset.first/si);
        plotquady((float)offset.second/sj, (float)size.second/sj, 0, z1, 1.-(float)(offset.first+size.first)/si);
        plotquadz((float)offset.second/sj, (float)size.second/sj, 1.-(float)offset.first/si, -(float)size.first/si, 0);
      }
    }
  }

  for (int i=0;i < nblr; i++) {
    std::pair<int,int>& offset = offsetslr[i];
    std::pair<int,int>& size = sizeslr[i];
    z1 = scalez*(1-compression[i]);
    if (size.first > 1 || size.second > 1) {
      glColor3f((20+compression[i]*80)/255,(80+compression[i]*170)/255,(20+compression[i]*80)/255);
      if (win->theplot->fill || win->plotdim==3)
        plotquadz((float)offset.second/sj, (float)size.second/sj, 1.-(float)offset.first/si, -(float)size.first/si, z1);
      else {
        plotquadz((float)offset.second/sj, (float)rankslr[i]/sj, 1.-(float)offset.first/si, -(float)size.first/si, z1);
        plotquadz((float)offset.second/sj, (float)size.second/sj, 1.-(float)offset.first/si, -(float)rankslr[i]/si, z1);
      }

      if (win->plotdim==3) {
        plotquadx(1.-(float)offset.first/si, -(float)size.first/si, 0, z1, (float)offset.second/sj);
        plotquadx(1.-(float)offset.first/si, -(float)size.first/si, 0, z1, (float)(offset.second+size.second)/sj);
        plotquady((float)offset.second/sj, (float)size.second/sj, 0, z1, 1.-(float)offset.first/si);
        plotquady((float)offset.second/sj, (float)size.second/sj, 0, z1, 1.-(float)(offset.first+size.first)/si);
        plotquadz((float)offset.second/sj, (float)size.second/sj, 1.-(float)offset.first/si, -(float)size.first/si, 0);
      }
    }
  }
  glEnd();

  // For sparse matrices
  double vmax = -1e+30;
  for (int i=0;i<nblr;i++)
  if (abs(compression[i]) > vmax && abs(compression[i]) < 1e10)
    vmax = abs(compression[i]);
  glPointSize(2);
  glBegin(GL_POINTS);
  for (int i=0;i < nblr; i++) {
    std::pair<int,int>& offset = offsetslr[i];
    std::pair<int,int>& size = sizeslr[i];
    z1 = 0;
    if (size.first == 1 && size.second == 1) {
      float val = compression[i]/vmax;
      glColor3f((20+val*80)/255,(80+val*170)/255,(20+val*80)/255);
      glVertex3d((float)offset.second/sj, 1.-(float)offset.first/si ,z1);
    }
  }
  glEnd();
  if (win->plotdim==3) {
    glBegin(GL_LINES);
    for (int i=0;i < nblr; i++) {
      std::pair<int,int>& offset = offsetslr[i];
      std::pair<int,int>& size = sizeslr[i];
      z1 = 0;
      if (size.first == 1 && size.second == 1) {
        float val = compression[i]/vmax;
        glColor3f((20+val*80)/255,(80+val*170)/255,(20+val*80)/255);
        glVertex3d((float)offset.second/sj, 1.-(float)offset.first/si ,z1);
        glVertex3d((float)offset.second/sj, 1.-(float)offset.first/si ,z1+(float)val);
      }
    }
    glEnd();
  }

  glLineWidth(kscreenscale);
  glColor3f(0,0,0);
  glBegin(GL_LINES);

  for (int i=0;i < nbdense; i++) {
    std::pair<int,int>& offset = offsetsdense[i];
    std::pair<int,int>& size = sizesdense[i];
    z1 = scalez;
    if (size.first > 1 || size.second > 1) {
      plotquadz((float)offset.second/sj+dx, (float)size.second/sj, 1.-(float)offset.first/si+dy, -(float)size.first/si, dz,1);

      if (win->plotdim==3) {
        plotquadx(1.-(float)offset.first/si+dy, -(float)size.first/si, dz, z1+dz, (float)offset.second/sj+dx,1);
        plotquadx(1.-(float)offset.first/si+dy, -(float)size.first/si, dz, z1+dz, (float)(offset.second+size.second)/sj+dx,1);
        plotquadz((float)offset.second/sj+dx, (float)size.second/sj, 1.-(float)offset.first/si+dy, -(float)size.first/si, z1+dz,1);
      }
    }
  }

  for (int i=0;i < nblr; i++) {
    std::pair<int,int>& offset = offsetslr[i];
    std::pair<int,int>& size = sizeslr[i];
    z1 = scalez*(1-compression[i]);
    if (size.first > 1 || size.second > 1) {
      plotquadz((float)offset.second/sj+dx, (float)size.second/sj, 1.-(float)offset.first/si+dy, -(float)size.first/si, dz,1);
      if (!win->theplot->fill && win->plotdim==2)
        plotquadz((float)(offset.second+rankslr[i])/sj+dx, (float)(size.second-rankslr[i])/sj, 1.-(float)(offset.first+rankslr[i])/si+dy, -(float)(size.first-rankslr[i])/si, dz,1);

      if (win->plotdim==3) {
        plotquadx(1.-(float)offset.first/si+dy, -(float)size.first/si, dz, z1+dz, (float)offset.second/sj+dx,1);
        plotquadx(1.-(float)offset.first/si+dy, -(float)size.first/si, dz, z1+dz, (float)(offset.second+size.second)/sj+dx,1);
        plotquadz((float)offset.second/sj+dx, (float)size.second/sj, 1.-(float)offset.first/si+dy, -(float)size.first/si, z1+dz,1);
      }
    }
  }

  glEnd();
  glColor3f(0,0,0);
  for (int i=0;i < nblr; i++) {
    std::pair<int,int>& offset = offsetslr[i];
    std::pair<int,int>& size = sizeslr[i];
    z1 = scalez*(1-compression[i]);
    if (size.first > 1 || size.second > 1) {
      string s = win->theplot->value ? std::to_string(int(100*compression[i])) : std::to_string(rankslr[i]);
      float scale = 0.005*std::min((float)size.first/si,(float)size.second/sj)/**std::min(mSize.x(),mSize.y())*/;
      if (win->theplot->value)
        scale *= 0.9;

      R textx = -36*scale*s.length()+(float)(offset.second+size.second*0.5)/sj;
      R texty = -48*scale+1.-float(offset.first+size.first*0.5)/si;
      R textz = z1+zeps;

      if (win->theplot->value)
        textx -= 10*scale*s.length();

      bool ptext = 0;
      if (win->plotdim==2 && scale > 0.028/std::min(win->height,win->width)*win->hpixel*win->width)
        ptext = 1;
      if (win->plotdim==3)// && sqrt((win->Pvue3.x-textx)*(win->Pvue3.x-textx)+(win->Pvue3.y-texty)*(win->Pvue3.y-texty)+(win->Pvue3.z-textz)*(win->Pvue3.z-textz)) < 0.1)
        ptext = 1;

      if (ptext) {
        glPushMatrix();
        glTranslatef(textx, texty, textz);
        glScalef(scale,scale,scale);
        for(char& c : s)
          glutStrokeCharacter(GLUT_STROKE_ROMAN,c);
        if (win->theplot->value) {
          glScalef(0.3,0.3,0.3);
          glutStrokeCharacter(GLUT_STROKE_ROMAN,'%');
        }
        glPopMatrix();
      }
    }
  }

}


OneWindow::OneWindow(int h,int w,ThePlot *p)
:
countdisplay(0),
icurrentPlot(lplots.begin()),
lplotssize(0),
height(h),width(w),theplot(0),hpixel(1),
Bmin(0,0),Bmax(1,1),oBmin(Bmin),oBmax(Bmax),zmin(0),zmax(1),
windowdump(false),help(false), rapz0(-1.),rapz(1),withlight(false),
changearrow(true),changeiso(true), keepPV(false),init(false)
{

    add(p);
}


void OneWindow::set(ThePlot *p)
{
    theplot=p;
    if(p)
    {
        if( debug) cout << "OneWindow:: set "<< p->keepPV << " -> "<< keepPV << endl;
        plotdim=p->plotdim;
        if(!keepPV)keepPV=p->keepPV;
        pNormalT=p->pNormalT;
        rapz0 = p->ZScale;
    }
    if(!init)
    {
        rapz0 =-1;
        if(p) rapz0 = p->ZScale;
        DefaultView(2) ;
    }

}

void OneWindow::add(ThePlot *p)
{
    if(p) {
        if( debug) cout << "OneWindow:: add "<< p->keepPV << " -> "<< keepPV << endl;
        if(!keepPV) keepPV=p->keepPV;
        lplots.push_back(p);
        lplotssize++;
        ++icurrentPlot;
        if(icurrentPlot==lplots.end())
            --icurrentPlot;// the previous
        if(icurrentPlot != lplots.end())
            set(*icurrentPlot);
        if( lplotssize>20)// pass 10 -> 20 for O. Pironneau 21/12/2020 FH.
        {
            bool isfirst = theplot == *lplots.begin();
            if(debug >1)
                cout << " delete a plot " << *lplots.begin() << endl;
            delete *lplots.begin();
            lplots.erase(lplots.begin());
            lplotssize--;
            if(isfirst) set(*lplots.begin()); // change to the next plot
        }
    }
    else
        set(p);
}

void OneWindow::DefaultView(int state)
{
    if(debug>1)  cout << "DefaultView " << state << " " <<keepPV << " theplot " << theplot << endl;
    if(keepPV)
    {
        if(state==0 && init) return;
    }
    else {
        if( theplot && theplot->ZScale>0) rapz0=theplot->ZScale;
        else rapz0=-1;
    }

    if(theplot)
    {
        init =1;
        plotdim=theplot->plotdim;
        keepPV=theplot->keepPV;
        R3 A(theplot->Pmin),B(theplot->Pmax);
        R3 D(A,B);
        R dxy= max(D.x,D.y);
        zmax = theplot->fmax;
        zmin = theplot->fmin;
        theta=theplot->theta;
        phi=theplot->phi;
        if(theplot->ZScale>0) rapz0=theplot->ZScale;
        if(theplot->datadim==3) rapz0=1;
        else   if(rapz0<=0)
        {
            rapz0  =  0.4* dxy/(zmax-zmin) ;
            if(debug>2)
            {
                cout << " rapz0 = " << rapz0 ;
                cout << " dz = " << zmax-zmin  << " dxy =" << dxy << endl;
            }
        }

        rapz=rapz0;
        coef_dist=theplot->dcoef;
        focal=theplot->focal;

        if(theplot->datadim==3)
        {
            Bmin3=A;
            Bmax3=B;
        }
        else
        { // data plot 2d ou 1 d...
            if(theplot->boundingbox.size() ==4)
            {
                Bmin3.x=theplot->boundingbox[0];
                Bmin3.y=theplot->boundingbox[1];
                Bmax3.x=theplot->boundingbox[2];
                Bmax3.y=theplot->boundingbox[3];
            }
            else
            {
                Bmin3.x=A.x;
                Bmin3.y=A.y;
                Bmax3.x=B.x;
                Bmax3.y=B.y;
            }
            Bmin3.z=theplot->fmin;
            Bmax3.z=theplot->fmax;
        }
        Pvue3=(Bmin3+Bmax3)/2;



        D *=0.05;
        if(theplot->boundingbox.size() !=4)
        {
            A -= D;
            B += D;
        }
        else
        {
            R x1=theplot->boundingbox[0],y1=theplot->boundingbox[1];
            R x2=theplot->boundingbox[2],y2=theplot->boundingbox[3];
            A = R2(min(x1,x2),min(y1,y2));
            B = R2(max(x1,x2),max(y1,y2));
        }

        if (theplot->aspectratio)
            cadreortho(A.p2(),B.p2());
        else
            cadre(A.p2(),B.p2());
    }
    hpixel = (Bmax.x-Bmin.x)/width;

    // SetView() ;
}

void  OneWindow::SetScreenView() const
{

    glDisable(GL_TEXTURE_2D);
    glDisable(GL_DEPTH_TEST);
    glMatrixMode(GL_PROJECTION);
    glLoadIdentity();
    glOrtho(0,width,0,height,-1,1);
    glMatrixMode(GL_MODELVIEW);
    glLoadIdentity();
}

void  OneWindow::SetView()
{
    if(plotdim==3 && theplot)
    {
        glViewport(0, 0,width, height);

        glMatrixMode(GL_PROJECTION);
        glLoadIdentity();
        R ratio= (double) width / (double)  height;
        glMatrixMode(GL_MODELVIEW);
        glLoadIdentity();


        R aspect=ratio;
        R3 DD(Bmin3,Bmax3);
        DD.z *= rapz;
        R dmax= DD.norme();;
        R dist = 0.5*dmax/sin(focal/2)*coef_dist;
        cam.x=Pvue3.x+cos(phi)*cos(theta)*dist;
        cam.y=Pvue3.y+cos(phi)*sin(theta)*dist;
        cam.z=Pvue3.z*rapz+dist*sin(phi);
        R znear=max(dist-dmax,1e-30);
        R zfare=dist+dmax;
        gluPerspective(focal*180./my_pi,aspect,znear,zfare);
        if(debug>2)
        {
            cout << " BB " << Bmin3 << " , " << Bmax3 << " rapz " << rapz << " dmax: "<< dmax << endl;
            cout <<" setview 3d: rapz " <<  rapz << " cam: ";
            cout << cam << " Pvue:" ;
            cout << Pvue3  << " theta " << theta << "  phi = "<<  phi << endl;
        }
        gluLookAt(cam.x,cam.y,cam.z,Pvue3.x,Pvue3.y,Pvue3.z*rapz,0.,0.,1.);
        glScaled(1.,1.,rapz);

        glGetDoublev(GL_PROJECTION_MATRIX,projMatrix);
        ShowGlerror(" Get PM");
        glGetDoublev(GL_MODELVIEW_MATRIX,modelMatrix);
        ShowGlerror(" Get MV");
        glGetIntegerv(GL_VIEWPORT,viewport);
        ShowGlerror(" Get VP");
        viewdim=3;

    }
    else
    {
        ShowGlerror("Begin SetView");
        glDisable(GL_DEPTH_TEST);
        glViewport(0, 0,width, height);
        R dz0,dz1,zm=0;
        if(plotdim==3)
        {
            dz0=Bmin3.z;
            dz1=Bmax3.z;
        }
        else
        {
            R zzmin = Min(zmin,theplot->fminT);
            R zzmax = Max(zmax,theplot->fmaxT);
            R dz = (zzmax-zzmin);
            zm=(zzmin+zzmax)*0.5;
            //  to be sur  the the z size is no zero .
            dz = max(dz,(Bmax.x-Bmin.x)*0.1);
            dz = max(dz,(Bmax.y-Bmin.y)*0.1);
            dz0=-dz;
            dz1 = dz;
            viewdim=2;
        }

        if((debug>3 )) cout << "\t\t\t   SetView " << this << " " << Bmin  << " "
            << Bmax  << " dz  " << dz0 << " " << dz1
            << " theta " << theta << "  phi = "<<  phi << " // "<< Bmax - Bmin << " w " <<width << " h " <<  height<< endl;
        ShowGlerror("0 Set MV");
        glMatrixMode(GL_MODELVIEW);
        glLoadIdentity();
        ShowGlerror(" Set MV");
        glMatrixMode(GL_PROJECTION);
        glLoadIdentity();
        ShowGlerror(" Set PM 1");
        glOrtho(Bmin.x,Bmax.x,Bmin.y,Bmax.y,dz0,dz1);

        ShowGlerror(" Set PM 2");

        R2 M=(Bmin+Bmax)/2.;
        glTranslated(0,0,-zm);

        glGetDoublev(GL_PROJECTION_MATRIX,projMatrix);
        ShowGlerror(" Get PM");
        glGetDoublev(GL_MODELVIEW_MATRIX,modelMatrix);
        ShowGlerror(" Get MV");
        glGetIntegerv(GL_VIEWPORT,viewport);
        ShowGlerror(" Get VP");


        ShowGlerror("End SetView ");
    }

}
void  OneWindow::resize(int w,int h)
{
    width=w;
    height=h;
    if (theplot && theplot->aspectratio)
    {
        cadreortho(oBmin,oBmax);
    }

}

void OneWindow::zoom(R coef)
{
    coef_dist*=coef;
    R2 M=(oBmin+oBmax)/2.;
    R2 D=(oBmax-oBmin)/2.;
    R2 A=  M - D*coef;
    R2 B=  M + D*coef;
    if (theplot->aspectratio)
        cadreortho(A,B);
    else
        cadre(A,B);

}
void  OneWindow::zoom(int w,int h,R coef)
{
    GLdouble x=w,y=height-h,z=(zmin+zmax)/2.;
    GLdouble xx,yy,zz;


    GLint ok= gluUnProject( x,y,z,modelMatrix,projMatrix,viewport,&xx,&yy,&zz);
    ShowGlerror(" UnPro .. ");
    if(debug>2)
        cout << " ok " << ok << " " << x << " " << y << " " << z
        << " -> " << xx << " " << yy << " " << zz << endl;
    R2  oD(oBmin,oBmax);
    R2  D(Bmin,Bmax);
    R2 O(xx,yy);
    if((debug > 3)) cout<< " zoom : "  << this << " O " << O
        << " " << coef << " D = "<<  D<< "as "
        << theplot->aspectratio <<  endl;
    oD *= 0.5*coef;
    R2 A = O - oD;
    R2 B = O + oD;
    if (theplot->aspectratio)
        cadreortho(A,B);
    else
        cadre(A,B);
}
void OneWindow::MoveXView(R dx,R dy)
{
    R3 D(Bmin3,Bmax3);
    R3 dd( dx*D.x*sin(theta),-dx*D.y*cos(theta), - dy*D.z);
    if(debug>2)
        cout << " MoveXView  "<< dx << " " << dy << " " << D << " mn: " << Bmin3 <<"  mx :" << Bmax3 << " d=" << dd << endl;
    Pvue3 += dd/50.;
    // 2d ...  add  FH   july 2009
    R2 D2(-dx*5*hpixel,-dy*5*hpixel);
    oBmin += D2;
    oBmax += D2;
    Bmin += D2;
    Bmax += D2;

}

void OneWindow::cadre(R2 A,R2 B)
{

    oBmin=Bmin=A;
    oBmax=Bmax=B;
    hpixel = (Bmax.x-Bmin.x)/width;


}

void OneWindow::getcadre(double &xmin,double &xmax,double &ymin,double &ymax)
{
    xmin =  Bmin.x;
    xmax =  Bmax.x;
    ymin = Bmin.y;
    ymax = Bmax.y;

}
void OneWindow::Display()
{
    if(!theplot) return;
    SetScreenView() ;
    glColor3d(0.,0.,0.);

    if(help)
    {
        theplot->DrawHelp(this);
       // help=false;
    }
    else
    {
        ShowGlerror("Begin Display");

        if(theplot)
            theplot->Draw(this);
        ShowGlerror("After Display");
    }
}
void OneWindow::cadreortho(R2 A, R2 B)
{
    R2 D(A,B);
    oBmin=A;
    oBmax=B;

    if ( D.y*width < D.x*height)
        // width -> infty => D.x la ref
        D.y = D.x*(double) height/ width;
    else // height -> infty => D.y la ref
        D.x = D.y*(double) width/height;
    R2 M=(A+B)/2., D2=D/2.;

    Bmin= M - D2;
    Bmax= M + D2;
    hpixel = (Bmax.x-Bmin.x)/width;
    if((debug > 10)) cout << " cadreortho: "<< " :: " << Bmin << " " << Bmax <<" oB " << oBmin << " " << oBmax << " w: " <<width
                        << " h: " << height << endl;

}
void OneWindow::setLighting()
{
    if(withlight)
    {
        if(plotdim==3)
        {
            GLfloat lp0[4] = { (float) cam.x,(float)  cam.y, (float)  cam.z, 1.0F };
            glLightfv(GL_LIGHT0,GL_POSITION,lp0);

            if(debug>1)  cout << " Light pos  3d:  " << cam << endl;
        }
        else
        {
            GLfloat position[] = {(float) Pvue3.x,(float) Pvue3.y,(float) (Pvue3.z+(Bmax3.z-Bmin3.z)*3),1.f} ;
            glLightfv(GL_LIGHT0, GL_POSITION, position);

        }

        float cca=0.3,ccd=1., ccs=0.8;
        GLfloat ambient[] = {cca,cca,cca,1.0f};//differents parametres
        GLfloat diffuse[] = {ccd,ccd,ccd,1.0f};
        GLfloat specular_reflexion[] = {ccs,ccs,ccs,1.0f};
        glLightModeli(GL_LIGHT_MODEL_TWO_SIDE,1);
        glEnable(GL_LIGHTING);//positionnement de la lumiere avec
        glLightfv(GL_LIGHT0,GL_AMBIENT,ambient);//les differents parametres
        glLightfv(GL_LIGHT0,GL_DIFFUSE,diffuse);

        glEnable(GL_COLOR_MATERIAL);//specification de la reflexion sur les materiaux
        glColorMaterial(GL_FRONT_AND_BACK,GL_AMBIENT_AND_DIFFUSE);
        glMaterialfv(GL_FRONT_AND_BACK,GL_AMBIENT,ambient);
        glMaterialfv(GL_FRONT_AND_BACK,GL_DIFFUSE,diffuse);
        glShadeModel(GL_FLAT);
        glEnable(GL_LIGHTING);
        glEnable(GL_LIGHT0);
    }
    else
    {
        glDisable(GL_LIGHTING);
        glDisable(GL_LIGHT0);
    }

}

void OneWindow::unsetLighting()
{
    glDisable(GL_LIGHTING);
    glDisable(GL_LIGHT0);
}

OnePlotBorder::OnePlotBorder(PlotStream & f)
:OnePlot(4,3,1)
{
    long nbd;
    f>> nbd;
    data.resize(nbd);
    for(int i=0;i<nbd;++i)
    {
        long n;
        f>> n;
        data[i].resize(n+1);
        for(int j=0;j<=n;++j)
        {
            long l;
            double x,y,z;
            f >> l>> x >> y >> z;
            R3 P(x,y,z);
            Pmin=Minc(Pmin,P);
            Pmax=Maxc(Pmax,P);
            data[i][j]=make_pair(l,P);
        }
    }
    ffassert(f.good());
}


void OnePlot::GLDraw(OneWindow *win)
{
    Draw(win);

    win->changeiso=0;
    win->changearrow=0;
}

void ThePlot::DrawHelp(OneWindow *win)
{
    int i = 1;
    win->Show("Enter a keyboard character in the FreeFem Graphics window in order to:",i++);

    i+=1;
    win->Show("enter) wait next plot",i++);
    win->Show("p)     previous plot (10 plots saved) ",i++);
    win->Show("ESC)   exit from ffglut (if termined) ",i++);
    win->Show("^c)    non-ignorable exit from ffglut  ",i++);
    win->Show("?)  show this help window",i++);
    win->Show("+) -)   zoom in/out  around the cursor 3/2 times ",i++);
    win->Show("=)   reset vue ",i++);
    win->Show("r)   refresh plot ",i++);
    win->Show("up, down, left, right) special keys  to  translate   ",i++);
    win->Show("3)   switch 3d/2d plot (in test)  keys : ",i++);
    win->Show(" z) Z) (focal zoom unzoom)  ",i++);
    win->Show(" H) h) switch increase or decrease the Z scale of the plot ",i++);
    win->Show("mouse motion)    ",i++);
    win->Show("   - left button)  rotate    ",i++);
    win->Show("   - right button)       zoom        (ctrl+button on mac) ",i++);
    win->Show("   - right button +alt)  translate    (alt+ctrl+button on mac)",i++);

    win->Show("a) A) increase or decrease the arrow size",i++);
    win->Show("B)  switch between show  border meshes or not",i++);
    win->Show("i) I) update or not: the min/max bound of the functions to the window",i++);
    win->Show("n) N) decrease or increase the number of iso value array ",i++);
    win->Show("b)  switch between black and white or color plotting ",i++);
    win->Show("g)  switch between grey or color plotting ",i++);
    win->Show("f)  switch between filling iso or iso line  ",i++);
    win->Show("l)  switch between lighting or not  ",i++);
    win->Show("v)  switch between show or not the numerical value of colors ",i++);
    win->Show("m)  switch between show or not  meshes  ",i++);
    win->Show("w)  window dump in file ffglutXXXX.ppm ",i++);
    win->Show("*)  keep/unkeep viewpoint for next plot",i++);
    win->Show("k)  complex data / change view type ",i++);
    win->Show("T)  show normal at element surface (only meshS)",i++);
    win->Show("q) Q) decrease or increase the number of Normal ploted at element surface (only meshS)",i++);
    win->Show("any other key : nothing ",++i);
}

void ThePlot::dyn_bfv(OneWindow *win,R & fmn,R &fmx,R & vmn2,R & vmx2) const
{
    fmn=+1e100;
    fmx=-fmn;
    vmx2=0;
    vmn2=+1e100;
    for (list<OnePlot *>::const_iterator i= plots.begin();i != plots.end(); ++i)
    {
        if(*i)  (*i)->dyn_bfv(win,fmn,fmx,vmn2,vmx2) ;
    }
    if(debug>4)
        cout << "dyn_bfv  " << fmn << " " << fmx << " " << vmn2 << " " << vmx2 <<endl;
    if(fmn>fmx) fmn=fmin,fmx=fmax;
    if(vmn2<0) vmn2 = 0;
    if(vmn2>vmx2) vmn2=0,vmx2=vmax2;
}

bool ThePlot::NextCase()
{
    bool ret=false;
    for (list<OnePlot *>::iterator i= plots.begin();i != plots.end(); ++i)
        ret =  (**i).NextCase() || ret; //  alway  run NextCase ..
    return  ret;
}

void ThePlot::Draw(OneWindow *win)
{
    if((debug>1 ))
    {
        cout << "      ThePlot::Plot " << count << " " << this << " win " << win << " " << state ;
        for (list<OnePlot *>::iterator i= plots.begin();i != plots.end(); ++i)
            cout << (**i).what;
        cout << endl;

    }
    if(state==0) {
        state=1;
        win->DefaultView(0);
    }

    win->SetView();
    for (list<OnePlot *>::iterator i= plots.begin();i != plots.end(); ++i)
        (*i)->Draw(win);

    if(cm || value)
    { //  screen plot ...
        win->SetScreenView();
        if(cm)
        {
            color(1);
            win->DrawCommentaire(cm->c_str(),0.1,0.97);
        }
        if(value)
        {
            int k0=0;
            if(withiso)
            {
                win->PlotValue(Viso,k0,"IsoValue");
                k0=1+Viso.N();
            }
            if(witharrow)
                win->PlotValue(Varrow,k0,"Vec Value");
        }
        // for picking..
        win->SetView();
    }
    changeViso=false;
    changeVarrow=false;
    changeColor=false;
    changeBorder=false;
    changeFill=false;
}

void  ThePlot::SetColorTable(int nb)
{
    tbc.resize(nb);
    for (int i=0;i<nb;++i)
        tbc[i].set(i,nb,this);
}



ThePlot::ThePlot(PlotStream & fin,ThePlot *old,int kcount)
:  count(kcount), state(0),
changeViso(true),changeVarrow(true),changeColor(true),
changeBorder(true),changeFill(true), withiso(false),witharrow(false),
plotdim(2),changePlotdim(false),theta(30.*my_pi/180.),phi(20.*my_pi/180.),dcoef(1),focal(20.*my_pi/180.),
datadim(1), winnum(0), keepPV(0), pNormalT(0)

{
    string * pdffile=0,*svgfile=0;// add for  fujiwara used today !!!
    hsv=true; // hsv  type
    coeff=1;
    wait=0;
    value=false;
    fill=false;
    aspectratio=false;
    clean=true;
    uaspectratio=false;
    pViso=false;
    pVarrow=false;
    Niso=0;
    Narrow=20;
    bw=false;
    psfile=0;
    cm=0;
    grey=0;
    ZScale=-1; // auto
    ArrowSize=-1;
    if(old) {
        grey=old->grey;
    }
    greyo=grey;
    drawborder=true;
    drawmeshes=false;
    add=false;
    keepPV=false;
    pNormalT=false;
    nbN=1; // arbitrary initialisation
    echelle=1.;

    Pmin=R3(+dinfty,+dinfty,+dinfty);
    fmin = +dinfty;
    fmax = -dinfty;
    Pmax=R3(-dinfty,-dinfty,-dinfty);
    vmax2=0;

    coefr=1;
    long dimpp=0, dimHatpp=0;
    long cas;
#define READ_VTK_PARAM(index,type)                    \
case 20+index: {type dummy; fin >= dummy;} break;

    while(1)
    {

        fin >> cas;
        if((debug > 4)) cout << " read cas: " << cas << "  " << PlotStream::dt_endarg << endl;
        if(cas==PlotStream::dt_endarg) break;
        if(version==2)
            switch (cas) {
                case  0: fin >> coeff; break;
                case 1: fin >> cm; break;
                case 2: fin >> psfile; break;
                case 3: fin >> wait; break;
                case 4: fin >> fill; break;
                case 5: fin >> value; break;
                case 6: fin >> clean; break;
                case 7: fin >> aspectratio;uaspectratio=true; break;
                case 8: fin >> boundingbox; break;
                case 9: fin >> Niso; break;
                case 10: fin >> Narrow; break;
                case 11: fin >> Viso;Niso=Viso.N();pViso=true; break;
                case 12: fin >> Varrow;Narrow=Varrow.N();pVarrow=true; break;
                case 13: fin >> bw; break;
                case 14: fin >> grey; break;
                case 15: fin >> colors; break;
                case 16: fin >> drawborder; break;
                case 17: fin >> dimpp; break;// ajout fevr 2008  v3.0.6
                case 18: fin >> add; break;
                case 19: fin >> keepPV; break;
                case 20: fin >> echelle;break;
                default:
                    cout << "Fatal error: Unknown  case  : " << cas <<endl;
                    ffassert(0);
                    break;
            }
        else if(version == 3 || version == 4)
            switch (cas) {
                case  0: fin >= coeff; break;
                case 1: fin >= cm; break;
                case 2: fin >= psfile; break;
                case 3: fin >= wait; break;
                case 4: fin >= fill; break;
                case 5: fin >= value; break;
                case 6: fin >= clean; break;
                case 7: fin >= aspectratio;uaspectratio=true; break;
                case 8: fin >= boundingbox; break;
                case 9: fin >= Niso; break;
                case 10: fin >= Narrow; break;
                case 11: fin >= Viso;Niso=Viso.N();pViso=true; break;
                case 12: fin >= Varrow;Narrow=Varrow.N();pVarrow=true; break;
                case 13: fin >= bw; break;
                case 14: fin >= grey; break;
                case 15: fin >= colors; break;
                case 16: fin >= drawborder; break;
                case 17: fin >= dimpp; break;// ajout fevr 2008  v3.0.6
                case 18: fin >= add; break;
                case 19: fin >= keepPV; break;
                case 20: fin >= echelle;break;
                case 21: fin >= ZScale;break;

                    // unsed parameter ...
                    //READ_VTK_PARAM(1,double); // ZScale
                    READ_VTK_PARAM(2,bool); // WhiteBackground
                    READ_VTK_PARAM(3,bool); // OpaqueBorders
                    READ_VTK_PARAM(4,bool); // BorderAsMesh
                    READ_VTK_PARAM(5,bool); // ShowMeshes
                    READ_VTK_PARAM(6,long); // ColorScheme
                    READ_VTK_PARAM(7,long); // ArrowShape
                    //       READ_VTK_PARAM(8,double); // ArrowSize
                case 28: fin >= ArrowSize; break;
                    READ_VTK_PARAM(9,long); // ComplexDisplay
                    READ_VTK_PARAM(10,bool); // LabelColors
                    READ_VTK_PARAM(11,bool); // ShowAxes
                    READ_VTK_PARAM(12,bool); // CutPlane
                    READ_VTK_PARAM(13,KN<double>); // CameraPosition
                    READ_VTK_PARAM(14,KN<double>); // CameraFocalPoint
                    READ_VTK_PARAM(15,KN<double>); // CameraViewUp
                    READ_VTK_PARAM(16,double); // CameraViewAngle
                    READ_VTK_PARAM(17,KN<double>); // CameraClippingRange
                    READ_VTK_PARAM(18,KN<double>); // CutPlaneOrigin
                    READ_VTK_PARAM(19,KN<double>); // CutPlaneNormal
                 case 40: fin >= winnum; break;
      
                //case 43: fin >= winnum; break;
                case 43: fin >= pNormalT;break;
                case 44: fin >= pdffile;break;
                case 45: fin >= svgfile;break;

                default:
                    static int nccc=0;
                    if(nccc++<5)
                        cout << " Skip Unknown case " << cas <<" (ffglut is too old ?)\n";
                    fin.SkipData();
                    break;
            }
        else ffassert(0);
        ffassert(fin.good() && ! fin.eof());
    }
    if(dimpp) plotdim=dimpp;
    ffassert(cas==PlotStream::dt_endarg);
    if((debug > 2))
    {  cout << "    ***** get ::: ";
        cout << " Window num " << winnum << ", ";
        cout << " coeff " << coeff <<", ";
        if(cm)
            cout << " cm " << *cm <<", ";
        if(wait)    cout << " wait " ;
        if(fill)    cout << " fill " ;
        if(value)    cout << " value " ;
        if(bw)    cout << " bw " ;
        if(grey)    cout << " grey " ;
        if(drawborder)    cout << " drawborder " ;
        if(colors.N()) cout << "\n colors =" << colors;
        if(boundingbox.N()) cout << "\n bb  =" << boundingbox;

        cout << endl;
    }
    fin.GetMeshes();
    long nbmeshes;
    fin >> nbmeshes;
    if((debug > 2)) cout << " read nb : mesh " << nbmeshes << endl;
    if(version==2)
    {
        Ths.resize(nbmeshes);
        for(int i=0;i<nbmeshes;++i)
            Ths[i]=0;
    }
    else
    {
        Ths2.resize(nbmeshes);
        for(int i=0;i<nbmeshes;++i)
            Ths2[i]=0;
    }

    for(int i=0;i<nbmeshes;++i)
    {
        long l;
        fin >> l;
        if(l>=0)
        {
            if((debug > 3)) cout << " read mesh " << i  << " -> " << l << "  " <<nbmeshes << endl;
            l--;
            ffassert(l>=0 && l < nbmeshes);
            if(version==2)
            {
                ffassert(Ths[l]==0);
                fin >>Ths[l] ;
            }
            else
            {
                ffassert(Ths2[l]==0);
                fin >>Ths2[l] ;
            }

            if((debug > 3))
            {
                if(version==2)
                    cout << i << " nt/nv " << l << " "  <<Ths[l]->nt << " " << Ths[l]->nv << endl;
                else
                    cout << i << " nt/nv " << l << " "  <<Ths2[l]->nt << " " << Ths2[l]->nv << endl;
            }
            ffassert(fin.good());
        }
        else // Add FH optimisation FH 11/12/2008 (not use to day)
        {// the mesh is already in the previous plot with number ll
            ffassert(l==-1);
            long ll;
            fin >> l>> ll; // read l and ll
            ffassert(old);
            if(version==2)
            {
                Ths[l]=old->Ths[ll];
                Ths[l]->increment();
            }
            else
            {
                Ths2[l]=old->Ths2[ll];
                Ths2[l]->increment();
            }

        }

    }
    long nbmeshes3=0;
    long nbmeshesS=0;
    long nbmeshesL=0;
    
    int getMesh3Type = fin.GetMeshes3(); // 0 : dt_mesh3, 1 : dt_meshS, 2 : dt_meshL, 3 : dt_plots
    if (getMesh3Type!=3) //  read GetPlots if false ...
    {
     //  There are 3D volume solution
     if(getMesh3Type==0)
     {

         fin >> nbmeshes3;
         if((debug > 2)) cout << " read nb : mesh3 " << nbmeshes3 << endl;
         Ths3.resize(nbmeshes3);
         for(int i=0;i<nbmeshes3;++i)
             Ths3[i]=0;
         for(int i=0;i<nbmeshes3;++i)
         {
             long l;
             fin >> l;
             if(l>=0)
             {
                 if((debug > 3)) cout << " read mesh3 " << i  << " -> " << l
                     << "  " <<nbmeshes3 << endl;
                 l--;
                 ffassert(l>=0 && l < nbmeshes3);
                 ffassert(Ths3[l]==0);
                 fin >>Ths3[l] ;
                 if((debug > 3))
                     cout << "mesh3 i: "<< i << " nt/nv " << l << " "  <<Ths3[l]->nt << " "
                     << Ths3[l]->nv << endl;
                 ffassert(fin.good());
             }
             else // Add FH optimisation FH 11/12/2008 (not use to day)
             {// the mesh is already in the previous plot with number ll
                 ffassert(l==-1);
                 long ll;
                 fin >> l>> ll; // read l and ll
                 ffassert(old);
                 Ths3[l]=old->Ths3[ll];
                 Ths3[l]->increment(); //
             }
        }
         getMesh3Type=fin.GetMeshes3();
     }
     //  There are 3D surface solution
     if(getMesh3Type==1) {
         fin >> nbmeshesS;
         if((debug > 2)) cout << " read nb : meshS " << nbmeshesS << endl;
         ThsS.resize(nbmeshesS);
         for(int i=0;i<nbmeshesS;++i)
             ThsS[i]=0;
         for(int i=0;i<nbmeshesS;++i)
         {
             long l;
             fin >> l;
             if(l>=0)
             {
                 if((debug > 3)) cout << "meshS i: "<< " read meshS " << i  << " -> " << l
                     << "  " <<nbmeshesS << endl;
                 l--;
                 ffassert(l>=0 && l < nbmeshesS);
                 ffassert(ThsS[l]==0);
                 fin >>ThsS[l] ;
                 if((debug > 3))
                     cout << "meshS i: "<< i << " nt/nv " << l << " "  <<ThsS[l]->nt << " "
                     << ThsS[l]->nv << endl;
                 ffassert(fin.good());
             }
             else // Add FH optimisation FH 11/12/2008 (not use to day)
             {// the mesh is already in the previous plot with number ll
                 ffassert(l==-1);
                 long ll;
                 fin >> l>> ll; // read l and ll
                 ffassert(old);
                 ThsS[l]=old->ThsS[ll];
                 ThsS[l]->increment(); //
             }
        }
        getMesh3Type=fin.GetMeshes3();
     }
     //  There are 3D line solution
     if(getMesh3Type==2) {
            fin >> nbmeshesL;
            if((debug > 2)) cout << " read nb : meshL " << nbmeshesL << endl;
            ThsL.resize(nbmeshesL);
            for(int i=0;i<nbmeshesL;++i)
                ThsL[i]=0;
            for(int i=0;i<nbmeshesL;++i)
            {
                long l;
                fin >> l;
                if(l>=0)
                {
                    if((debug > 3)) cout << " read meshL " << i  << " -> " << l
                        << "  " <<nbmeshesL << endl;
                    l--;
                    ffassert(l>=0 && l < nbmeshesL);
                    ffassert(ThsL[l]==0);
                    fin >>ThsL[l] ;
                    if((debug > 3))
                        cout << "meshL i: "<< i << " nt/nv " << l << " "  <<ThsL[l]->nt << " "
                        << ThsL[l]->nv << endl;
                    ffassert(fin.good());
                }
                else // Add FH optimisation FH 11/12/2008 (not use to day)
                {// the mesh is already in the previous plot with number ll
                    ffassert(l==-1);
                    long ll;
                    fin >> l>> ll; // read l and ll
                    ffassert(old);
                    ThsL[l]=old->ThsL[ll];
                    ThsL[l]->increment(); //
                }
            }
            getMesh3Type=fin.GetMeshes3();
        }
     else if (getMesh3Type==4)

      fin.GetPlots();
    }
  
    long nbplot;
    int iso3d=0, iso3dB=0;
    fin >>nbplot;
    if((debug > 2)) cout << " nb item plot " << nbplot << endl;
    for(int i=0;i<nbplot;++i)
    {
        long what;
        OnePlot *p=0;
        fin >> what;
        long imsh;
        if((what !=3 && what != 13  )&& !uaspectratio) aspectratio= true;
        if((debug > 2)) cout << "    plot  " << i << " what " << what << " as : " << aspectratio << endl;

        if(what==-1)  // gestion of error (empty plot)
            p = new OnePlotError(fin);
        else if(what==0)
        {
            fin >> imsh;
             if((debug > 9)) cout << " plot : mesh " << imsh << endl;
            if(version==2)
                p=new OnePlotMesh<Mesh>(Ths[imsh-1]);
            else
                p=new OnePlotMesh<Mesh2>(Ths2[imsh-1]);

        }
        else if (what==1 || what==2 || what==11 || what==12 )
        {
            fin >> imsh;
            if(what%10==1) withiso=true;
            else if (what%10==2) witharrow=true;
            if((debug >= 10)) cout << " plot : mesh " << imsh << endl;
            ffassert(imsh>0 && imsh <=nbmeshes);
            if(version==2)
                p=new OnePlotFE<Mesh>(Ths[imsh-1],what,fin);
            else
                p=new OnePlotFE<Mesh2>(Ths2[imsh-1],what,fin);
        }
        else if(what==3)
            p=new OnePlotCurve(fin);
        else if(what==13)
            p=new OnePlotCurve(fin,4,this);// add zz and color ..
        else if(what==4)
            p=new OnePlotBorder(fin);
        
        // volume 3D meshes (mesh3 or mesh3 only in case with pointer on meshS or/and meshL
        else if (what == 5)
        {
            fin >> imsh;
            p=new OnePlotMesh3(Ths3[imsh-1]);if((debug > 9)) cout << " plot : mesh3 (volume 3D) " << imsh << endl;
        }
        // surface 3D meshes
        else if(what==50)
        {
            fin >> imsh;if((debug > 9)) cout << " plot : meshS (surface 3D) " << imsh << endl;
            p=new OnePlotMeshS(ThsS[imsh-1]);
        }
        // line 3D meshes
        else if (what==55)
        {
            fin >> imsh;if((debug > 9)) cout << " plot : meshL (line 3D) " << imsh << endl;
            p=new OnePlotMeshL(ThsL[imsh-1]);
        }
        else if (what==6  || what==7|| what==16  || what==17)
        {
            iso3d++;
            fin >> imsh;
            if(what==6||what==16 ) withiso=true;

            if((debug > 10)) cout << " plot : mesh3 (volume) " << imsh << endl;
            ffassert(imsh>0 && imsh <=nbmeshes3);
            p=new OnePlotFE3(Ths3[imsh-1],what,fin);
        }
        else if (what==8  || what==9 || what==18  || what==19)
        {
            iso3dB++;
            fin >> imsh;
            if(what==8||what==18 ) withiso=true;
            else if (what%10==9) witharrow=true;
            if((debug > 10)) cout << " plot : meshS (3D surface) " << imsh << endl;
            ffassert(imsh>0 && imsh <=nbmeshesS);

            p=new OnePlotFES(ThsS[imsh-1],what,fin);
        }
        else if (what==14  || what==15 || what==20  || what==21)
        {
            iso3dB++;
            fin >> imsh;
            if(what==14||what==20 ) withiso=true;
            else if (what==15||what==21 ) witharrow=true;
            if((debug > 10)) cout << " plot : meshL (3D curve) " << imsh << endl;
            ffassert(imsh>0 && imsh <=nbmeshesL);
            p=new OnePlotFEL(ThsL[imsh-1],what,fin);
        }
        else if (what == 31)
        {
            p=new OnePlotHMatrix(what,fin);
        }
        else
        {
            cout << "Bizarre unknown what :  " << what<< endl;
            ffassert(0);
        }
        ffassert(p);
        plots.push_back(p);
        p->bb(Pmin,Pmax);
        p->bfv(fmin,fmax,vmax2);
        plotdim=max(plotdim,p->dim);
        ffassert(fin.good());
        datadim=max(datadim,p->dim);
    }
    if(dimpp) plotdim=dimpp;
   
    if(Niso==0)
        Niso = iso3d ? 5 : 20;
    if(iso3dB) Niso=20;
    double ref_f = abs(fmax)+abs(fmin) ;
    if(fmax < fmin)
    {
        fmax = 1;
        fmin = 0;
    }
    else if( (fmax-fmin) <= 1e-8*ref_f)
    {
        if(ref_f< 1e-20) ref_f=0.5;
        fmax += ref_f/2;
        fmin -= ref_f/2;
    }
    PminT=Pmin;
    PmaxT=Pmax;
    fminT=fmin;
    fmaxT=fmax;

    z0= fminT -(fmaxT-fminT)*0.01;
    if((debug > 2)) cout << "               data bound: " << PminT << " " << PmaxT
        << " fmin == " << fminT << "  " << fmaxT
        << " z0 " << z0 <<  endl;
    fin.GetEndPlot();
    Viso.resize(Niso);
    Varrow.resize(Narrow);

    SetColorTable(Max(Niso,Narrow)+4) ;
    SetDefIsoV(Niso,Narrow,fmin,fmax) ;
    
}


void ThePlot::SetDefIsoV(int niso,int narr,double fmn,double fmx,double vmn,double vmx)
{
    niso = max(niso,2);
    narr = max(narr,2);

    bool dyni=niso!=Viso.N() , dyna = narr != Varrow.N();
    R d,x;
    if(debug>3 && !(fmx>fmn) )
        cout << " SetDefIsoV  (not) " << endl;
    if(debug>3)
        cout << " SetDefIsoV  " << dyni << " " <<  fmn << " " << fmx << "pViso= " << pViso << " / "<< dyna << " "  << vmn << " " << vmx << endl;

    // resize !!!
    Viso.resize(niso);
    Niso=Viso.N();
   
    Varrow.resize(narr);
    Narrow=Varrow.N();

    if( fmx>fmn)
    {
        dyni = niso !=Viso.N() ;
        //       pViso = pViso && niso ==Viso.N(); FH:  debile !!!!!
        d =  (fmx-fmn)/(max(Niso-2,1L))  ;
        x =  (fmn+fmx)/2-d*0.5*(Niso-1);
    }
    else
    {
        d = 1 ? (fmaxT-fminT)/(max(Niso-2,1L))  : (fmaxT-fminT)/(Niso-1);
        x = 1 ? (fminT+fmaxT)/2-d*0.5*(Niso-1) :fminT+d/2;
    }
    if(!pViso || dyni)
    {
        for (int i = 0;i < Niso;i++)
        {Viso[i]=x;x +=d; }
    }
  

    if(vmx>vmn)
    {
        dyna=true;
        x = sqrt(vmn);
        d = (sqrt(vmx)-x)/(Narrow-1.1);
    }
    else
    {
        x=0;
        if(debug>10)
            cout << "vmax2=  " << vmax2 << endl;
        d= sqrt(vmax2)/(Narrow-1.1);
    }
    if (!pVarrow || dyna)
        for (int i = 0;i < Narrow;i++)
        {
            Varrow[i]=x;
            x +=d;
        }
    if(debug>100)
        cout << " Viso ..; " << Viso <<endl;
    SetColorTable(Max(Niso,Narrow)+4) ;
}

void OneWindow::Show(const char *str,int i)
{
    int hx= 15;
    if(kscreenscale==2) hx = 25; // OK ...
    int ix= width/20;
    int iy= height-hx*i;
    plot(ix,iy,str);
}

void  FillRectRasterPos(R x0,R y0,R x1,R y1)
{
    glPolygonMode(GL_FRONT_AND_BACK,GL_FILL);//GL_FILL
    glBegin(GL_POLYGON);
    glVertex2d(x0, y0);
    glVertex2d(x1, y0);
    glVertex2d(x1, y1);
    glVertex2d(x0, y1);
    glEnd();

}

void  OneWindow::FillRect(R x0,R y0,R x1,R y1)
{

    double z1=  (zmin+zmax)/2; // line
    glPolygonMode(GL_FRONT,GL_FILL);//GL_FILL
    glBegin(GL_POLYGON);
    glVertex3d(x0, y0,z1);
    glVertex3d(x1, y0,z1);
    glVertex3d(x1, y1,z1);
    glVertex3d(x0, y1,z1);
    glEnd();
}

void OneWindow::PlotValue(const KN_<double> & Viso,int  k0,const char * cmm)
{

    ShowGlerror("PlotValue b");
    if((debug > 10)) cout << "PlotValue:" << cmm << " " << k0 << " " << width << " " <<height << " " << kscreenscale << endl;
    R xmin=0,xmax=width,ymin=0,ymax=height;
    if((debug > 10)) cout << "PlotValue " << Viso << endl;

    R dx=(xmax-xmin);
    R dy=(ymax-ymin);
    //  10 points
    R h=14*kscreenscale;
    if( kscreenscale==2) h = 24;// BofBof F.H
    R ho=h*1.1;
    R x0=xmin+dx*0.85;
    R y= ymin+dy*0.97;
    if((debug > 10)) cout << x0 << " " << y << " " << h <<  endl;
    y -= k0* ho;
    this->color(0);
    FillRectRasterPos(x0-h*0.5,y-h*(1.4*Viso.N()+0.3),x0+h*9,y+h*1.5);
    ShowGlerror("PlotValue m");
    this->color(1);

    plot(x0+ho,y,cmm);
    y -=  ho*2;
    for (int i=0;i<Viso.N();i++)
    {
        if((debug > 10)) cout << " x0 : " << x0<< " " << y << " " << h << " v = " << Viso[i] << endl;
        this->color(i+4);
        FillRectRasterPos(x0,y,x0+h,y+h);
        plot(x0+ho,y+3*h/10,Viso[i]);
        y -=  h;
        ;
    }
    ShowGlerror("PlotValue f");
}


void OneWindow::DrawCommentaire(const char * cm,R x,R y)
{

    R xmin=0,xmax=height,ymin=0,ymax=height;
    float dx=(xmax-xmin);
    float dy=(ymax-ymin);
    plot(xmin+dx*x,ymin+dy*y,cm);
}

void  plot(double xx,double yy,const char *cmm,int font)
{
    glRasterPos2f(xx,yy);
    float x[4];
    glGetFloatv(GL_CURRENT_RASTER_POSITION,x);
    if((debug > 10)) cout<<"avant x : "<<x[0]<<" y : "<<x[1]<<" z : "<<x[2]<< " " << xx <<" " << yy << endl;
    void * glut_font=GLUT_BITMAP_HELVETICA_18;
    if(kscreenscale==2) glut_font=GLUT_BITMAP_TIMES_ROMAN_24;
    switch (font)
    {
        case  0: glut_font=GLUT_STROKE_ROMAN;break;
        case  1: glut_font=GLUT_STROKE_MONO_ROMAN;break;
        case  2: glut_font=GLUT_BITMAP_9_BY_15;break;
        case  3: glut_font=GLUT_BITMAP_8_BY_13;break;
        case  4: glut_font=GLUT_BITMAP_TIMES_ROMAN_10;break;
        case  5: glut_font=GLUT_BITMAP_TIMES_ROMAN_24;break;
        case  6: glut_font=GLUT_BITMAP_HELVETICA_10;break;
        case  7: glut_font=GLUT_BITMAP_HELVETICA_12;break;
        case  8: glut_font=GLUT_BITMAP_HELVETICA_18;break;



    }
    for (const char *s=cmm; *s; s++)
    {if((debug > 10)) cout << *s ;
        glutBitmapCharacter(glut_font,*s);
    }
    if((debug > 10)) cout << " ;;; " <<endl;
}
void plot(double x,double y,double i,int font)
{
    char buf[24];
    snprintf(buf,24,"%g",i);
    plot(x,y,buf);
}


void hsvToRgb (float h, float s, float v, float & r, float & g, float & b)
{
    int i;
    float aa, bb, cc, f;

    if (s == 0) /* Grayscale */
        r = g = b = v;
    else {
        h = h - floorf(h);
        h*=6.;
        i =  int(h);
        f = h - i;
        aa = v * (1 - s);
        bb = v * (1 - (s * f));
        cc = v * (1 - (s * (1 - f)));
        switch (i) {
            case 0: r = v;  g = cc; b = aa; break;
            case 1: r = bb; g = v;  b = aa; break;
            case 2: r = aa; g = v;  b = cc; break;
            case 3: r = aa; g = bb; b = v;  break;
            case 4: r = cc; g = aa; b = v;  break;
            case 5: r = v;  g = aa; b = bb; break;
        }
    }
}

void ThePlot::DrawIsoT(const R2 Pt[3],const R ff[3],const R * Viso,int NbIso, R rapz)
{
    int nbl =0;
     R2 PQ[5];
    R  eps2= Min(R2(Pt[0],Pt[1]).norme2(),R2(Pt[0],Pt[2]).norme2(),R2(Pt[1],Pt[2]).norme2() )*1e-8;
    for(int l=0;l< NbIso;l++)  /*    loop on the level curves */
    {
        R xf = Viso[l];
        int im=0;
        for(int i=0;i<3;i++) // for the  3 edges
        {
            int j = (i+1)%3;
            R fi=(ff[i]);
            R fj=(ff[j]);

            if(((fi<=xf)&&(fj>=xf))||((fi>=xf)&&(fj<=xf)))
            {
                if (Abs(fi-fj)<=0.1e-10)     /* one side must be drawn */
                {
                    color(l+4);
                    glVertex3f(Pt[i].x, Pt[i].y, xf*rapz);
                    glVertex3f(Pt[j].x, Pt[j].y, xf*rapz);
                }
                else
                {
                    R  xlam=(fi-xf)/(fi-fj);

                    PQ[im++]   = Pt[i] * (1.F-xlam)  +  Pt[j]* xlam;
                }
            }
        }

        if (im>=2) /*    draw one segment */
        {
            color(l+4);
            if( R2(PQ[0],PQ[1]).norme2() > eps2 )
            {
                if(nbl++==0)    glBegin(GL_LINES);
                glVertex3f(PQ[0].x, PQ[0].y, xf*rapz);
                glVertex3f(PQ[1].x, PQ[1].y, xf*rapz);
            }
        }
    }
    if(nbl) glEnd();

}

// draw iso values for FE surface
void ThePlot::DrawIsoT(const R3 Pt[3],const R ff[3],const R3 Nt[3],const R * Viso,int NbIso,bool changePlotdim,int viewdim,R rapz)
{
    int nbl=0;
    R3 PQ[5];
    R3 NQ[5];
    R  eps2= Min(R3(Pt[0],Pt[1]).norme2(),R3(Pt[0],Pt[2]).norme2(),R3(Pt[1],Pt[2]).norme2() )*1e-8;
    for(int l=0;l< NbIso;l++) { /*    loop on the level curves */
        R xf = Viso[l];
        int im=0;
        for(int i=0;i<3;i++) { // for the  3 edges
            int j = (i+1)%3;
            R fi=(ff[i]);
            R fj=(ff[j]);

            if(((fi<=xf)&&(fj>=xf))||((fi>=xf)&&(fj<=xf))) {
                if (Abs(fi-fj)<=0.1e-10) {    /* one side must be drawn */
                    color(l+4);
                    if(nbl++==0)  glBegin(GL_LINES);
                    if(viewdim==3)
                        if(changePlotdim){
                            glVertex3f(Pt[i].x+NQ[i].x*xf*rapz, Pt[i].y+NQ[i].y*xf*rapz, Pt[i].z+NQ[i].z*xf*rapz);
                            glVertex3f(Pt[j].x+NQ[j].x*xf*rapz, Pt[j].y+NQ[j].y*xf*rapz, Pt[j].z+NQ[j].z*xf*rapz);
                        }
                        else {
                            glVertex3f(Pt[i].x, Pt[i].y, Pt[i].z);
                            glVertex3f(Pt[j].x, Pt[j].y, Pt[j].z);
                        }
                     else if(viewdim==2) {
                            glVertex3f(Pt[i].x, Pt[i].y, xf*rapz);
                            glVertex3f(Pt[j].x, Pt[j].y, xf*rapz);
                        }
                }
                else {
                    R  xlam=(fi-xf)/(fi-fj);
                    NQ[im]   = Nt[i] * (1.F-xlam)  +  Nt[j]* xlam;
                    PQ[im++]   = Pt[i] * (1.F-xlam)  +  Pt[j]* xlam;
                }
            }
        }

        if (im>=2)
        {
            color(l+4);
            if( R3(PQ[0],PQ[1]).norme2() > eps2 ) {
                 if(nbl++==0)  glBegin(GL_LINES);
                 if(viewdim==3)
                     if(changePlotdim){
                         glVertex3f(PQ[0].x+NQ[0].x*xf*rapz, PQ[0].y+NQ[0].y*xf*rapz, PQ[0].z+NQ[0].z*xf*rapz);
                         glVertex3f(PQ[1].x+NQ[1].x*xf*rapz, PQ[1].y+NQ[1].y*xf*rapz, PQ[1].z+NQ[1].z*xf*rapz);
                     }
                     else {
                         glVertex3f(PQ[0].x, PQ[0].y, PQ[0].z);
                         glVertex3f(PQ[1].x, PQ[1].y, PQ[1].z);
                     }
                     else if(viewdim==2) {
                         glVertex3f(PQ[0].x, PQ[0].y, xf*rapz);
                         glVertex3f(PQ[1].x, PQ[1].y, xf*rapz);
                     }
            }
        }
    }
    if( nbl) glEnd();
}




// draw filling values for 2d FE
void ThePlot::DrawIsoTfill(const R2 Pt[3],const R ff[3],const R * Viso,int NbIso, R rapz)
{
    R2 PQ[10];
    R z[10];

    R eps= (Viso[NbIso-1]-Viso[0])*1e-6;
    for(int l=1;l< NbIso;l++)  //   loop on the level curves
    {
        R xfb = Viso[l-1];
        R xfh = Viso[l];
        assert(xfb < xfh);
        int im=0;
        for(int i=0;i<3;i++) // for the  3 edges
        {
            int j=(i+1)%3;
            R fi=(ff[i]);
            R fj=(ff[j]);
            R xxfb =  xfb;
            R xxfh =  xfh;
            if (fj<fi ) Exchange(xxfb,xxfh);
            R xf  = xxfb;
            if(((fi<=xf)&&(fj>=xf))||((fi>=xf)&&(fj<=xf)))
            {
                if (Abs(fi-fj)>=0.1e-20)
                {
                    R  xlam=(fi-xf)/(fi-fj);
                    z[im] =  ff[i] * (1.F-xlam)  +  ff[j]* xlam;
                    PQ[im++]   = Pt[i] * (1.F-xlam)  +  Pt[j]* xlam;
                    if(verbosity>999) cout << im-1 << " PQ " << PQ[im-1] << endl;
                }
            }
            xf = xxfh;
            if(((fi<=xf)&&(fj>=xf))||((fi>=xf)&&(fj<=xf)))
            {
                if (Abs(fi-fj)>=0.1e-20)
                {
                    R  xlam=(fi-xf)/(fi-fj);
                    z[im] =  ff[i] * (1.F-xlam)  +  ff[j]* xlam;
                    PQ[im++]   = Pt[i] * (1.F-xlam)  +  Pt[j]* xlam;
                }
            }
            if (  xfb-eps <=fj  && fj <= xfh+eps)
                z[im]=ff[j],PQ[im++] = Pt[j];

        }
        if (im>2)
        {
            color(l+4);
            R3 P[10];
            for(int i=0;i<im;++i)
                P[i]= R3(PQ[i].x,PQ[i].y,z[i]*rapz);
            R3 N(R3(P[0],P[1])^R3(P[0],P[2]));
            N /= N.norme();
            if(N.z<0) N = -N;
            glNormal3d(N.x,N.y,N.z);

            glBegin(GL_POLYGON);
            for (int i=0;i<im;i++)
            {
                glVertex3f(P[i].x, P[i].y,P[i].z);
            }
            glEnd();

        }
    }
}

// draw filling values for 3d FE surface
void ThePlot::DrawIsoTfill(const R3 Pt[3],const R ff[3],const R3 Nt[3],const R * Viso,int NbIso,bool changePlotdim,int viewdim,R rapz)
{
    R3 PQ[10];
    R3 NQ[10];
    R z[10];
    R eps= (Viso[NbIso-1]-Viso[0])*1e-6;
    for(int l=1;l< NbIso;l++)  //   loop on the level curves
    {
        R xfb = Viso[l-1];
        R xfh = Viso[l];
        assert(xfb < xfh);
        int im=0;
        for(int i=0;i<3;i++) // for the  3 edges
        {
            int j=(i+1)%3;
            R fi=(ff[i]);
            R fj=(ff[j]);
            R xxfb =  xfb;
            R xxfh =  xfh;
            if (fj<fi ) Exchange(xxfb,xxfh);
            R xf  = xxfb;
            if(((fi<=xf)&&(fj>=xf))||((fi>=xf)&&(fj<=xf))) {
                if (Abs(fi-fj)>=0.1e-20) {
                    R  xlam=(fi-xf)/(fi-fj);
                    z[im] =  fi * (1.F-xlam)  +  fj* xlam;
                    NQ[im] =  Nt[i] * (1.F-xlam)  +  Nt[j] * xlam;
                    PQ[im++]   = Pt[i] * (1.F-xlam)  +  Pt[j]* xlam;
               }
            }
            xf = xxfh;
            if(((fi<=xf)&&(fj>=xf))||((fi>=xf)&&(fj<=xf)))  {
                if (Abs(fi-fj)>=0.1e-20) {
                    R  xlam=(fi-xf)/(fi-fj);
                    z[im] =  fi * (1.F-xlam)  +  fj* xlam;
                    NQ[im] =  Nt[i] * (1.F-xlam)  +  Nt[j] * xlam;
                    PQ[im++]   = Pt[i] * (1.F-xlam)  +  Pt[j]* xlam;
                }
            }
            if (  xfb-eps <=fj  && fj <= xfh+eps)
            {z[im]=fj,NQ[im]=Nt[j]; PQ[im++] = Pt[j];}
        }
        if (im>2) {
            color(l+4);
            R3 P[10];
            for(int i=0;i<im;++i)
             if(viewdim==3)
                 if(changePlotdim)
                    P[i]= R3(PQ[i].x+rapz*z[i]*NQ[i].x,PQ[i].y+rapz*z[i]*NQ[i].y,PQ[i].z+rapz*z[i]*NQ[i].z);
                 else
                     P[i]= R3(PQ[i].x,PQ[i].y,PQ[i].z);
               else if(viewdim==2)
                P[i]= R3(PQ[i].x,PQ[i].y,rapz*z[i]);
            
            R3 N(R3(P[0],P[1])^R3(P[0],P[2]));
            N /= N.norme();
            if(N.z<0) N = -N;
            glNormal3d(N.x,N.y,N.z);

            glBegin(GL_POLYGON);
            for (int i=0;i<im;i++) {
                if((debug > 100)) cout << i << " \t : " << PQ[i].x << " " <<  PQ[i].y << " " << PQ[i].z << endl;
                glVertex3f(P[i].x, P[i].y, P[i].z);
            }
            glEnd();
        }
    }
}
// draw filling values for 3d FE curve
void ThePlot::DrawIsoEfill(const R3 Pt[2],const R ff[2],const R3 Nt[2],const R * Viso,int NbIso,bool changePlotdim,int viewdim, R rapz)
{
    R3 PQ[10], NQ[10];
    R z[10];
    R eps= (Viso[NbIso-1]-Viso[0])*1e-6;
    for(int l=1;l< NbIso;l++)  //   loop on the level curves
    {
        R xfb = Viso[l-1];
        R xfh = Viso[l];
        assert(xfb < xfh);
        int im=0;
        R fi=(ff[0]), fj=(ff[1]), xxfb=xfb, xxfh=xfh;
        int sens = 0;
        if (fj<fi ) {Exchange(xxfb,xxfh); sens=1;}
        
        if (Abs(fi-fj)>=0.1e-20) {
            if ((xxfh>=fi && xxfb<=fj) || (xxfh<=fi && xxfb>=fj)) {
                PQ[im] = Pt[0];
                NQ[im] = Nt[0];
                z[im++] = fi;
                if ((!sens && (xxfb >= fi)) || (sens && (xxfb <= fi))) {
                    R  xlam=(fi-xxfb)/(fi-fj);
                    PQ[im-1] = Pt[0] * (1.F-xlam)  +  Pt[1]* xlam;
                    NQ[im-1] = Nt[0] * (1.F-xlam)  +  Nt[1]* xlam;
                    z[im-1] = fi * (1.F-xlam)  +  fj* xlam;
                }
                PQ[im] = Pt[1];
                NQ[im] = Nt[1];
                z[im++] = fj;
                if ((!sens && (xxfh <= fj)) || (sens && (xxfh >= fj))) {
                    R  xlam=(fi-xxfh)/(fi-fj);
                    PQ[im-1] = Pt[0] * (1.F-xlam)  +  Pt[1]* xlam;
                    NQ[im-1] = Nt[0] * (1.F-xlam)  +  Nt[1]* xlam;
                    z[im-1] = fi * (1.F-xlam)  +  fj* xlam;
                }
            }
        }
        else if (xfb-eps <=fj  && fj <= xfh+eps) {
            PQ[im] = Pt[0]; NQ[im] = Nt[0]; z[im++] =fi;
            PQ[im] = Pt[1]; NQ[im] = Nt[1]; z[im++] =fj;
        }
        
        if (im>1) {
            color(l+4);
            R3 P[10];
            for(int i=0;i<im;++i)
                if(viewdim==3)
                    if(changePlotdim)
                        P[i]= R3(PQ[i].x+rapz*z[i]*NQ[i].x,PQ[i].y+rapz*z[i]*NQ[i].y,PQ[i].z+rapz*z[i]*NQ[i].z);
                    else
                        P[i]= R3(PQ[i].x,PQ[i].y,PQ[i].z);
                else if(viewdim==2)
                    P[i]= R3(PQ[i].x,PQ[i].y,rapz*z[i]);
      
            glLineWidth(3*kscreenscale);
            glPolygonMode(GL_FRONT,GL_LINE);
           
            glBegin(GL_LINES);
            for (int i=0;i<im;i++) {
                if((debug > 100)) cout << i << " \t : " << Pt[i].x << " " <<  Pt[i].y << " " << Pt[i].z << endl;
                glVertex3f(P[i].x, P[i].y, P[i].z);
            }
            glEnd();
            glLineWidth(kscreenscale);
        }
    }
}


bool WindowDump (int width, int height) {
  int i, j;
  FILE *fptr;
  static int counter = 0;
  char fname[32];
  unsigned char *image;

  /* Allocate our buffer for the image */
  if ((image = new unsigned char[3*width*height]) == NULL) {
    fprintf(stderr, "WindowDump - Failed to allocate memory for image\n");
    return false;
  }

  /* Open the file */
  snprintf(fname,32, "ffglut_%04d.ppm", counter);
  if ((fptr = fopen(fname, MODE_WRITE_BINARY)) == NULL) {
    fprintf(stderr, "WindowDump - Failed to open file for window dump\n");
    delete[] image;
    return false;
  }
  if((debug > 10)) cout << " WindowDump in " << fname << endl;

  /* Copy the image into our buffer */
  glReadBuffer(GL_FRONT);
  glReadPixels(0, 0, width, height, GL_RGB, GL_UNSIGNED_BYTE, image);

  /* Write the PPM file */
  fprintf(fptr, "P6\n%d %d\n255\n", width, height);
  for (j = height-1; j >= 0; j--) {
    for (i = 0; i < width; i++) {
      fputc(image[3*j*width+3*i+0], fptr);
      fputc(image[3*j*width+3*i+1], fptr);
      fputc(image[3*j*width+3*i+2], fptr);
    }
  }
  fclose(fptr);

  delete[] image;
  counter++;
  return true;
}


void Clean()
{
    glClearColor(1.0, 1.0, 1.0, 0.0);
    glClear( GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT );
}

static void Reshape( int width, int height )
{
     GLint pView[4];
 
    width*= kscreenscale;
    height*= kscreenscale;
  //  cout << " width " << width << " "<<height << endl;
    OneWindow * win=CurrentWin();
    if(win)
    {
        win->resize(width,height);
    //    glGetIntegerv(GL_VIEWPORT, pView);
    //     cout << "pView " << pView[0]<< " "<< pView[1]<< " "<< pView[2]<< " "<< pView[3]<< endl;

    }
    glutPostRedisplay();
}



void Display(void)
{
    OneWindow * win=CurrentWin();
    if(win)
    {
        if (win->countdisplay++<0) { // HAsh for MAC OS Mojave ???? FH oct 2018 ...
            if(debug>4  || 1) cout << "\n **** Hack Mojove :: glutReshapeWindow " << win->width << " " << win->height <<" \n" << endl;
            win->width--;
            win->height--;
#ifdef GLUT_WINDOW_SCALE
            glutscreenscale= glutGet(GLUT_WINDOW_SCALE);
#endif
            glutReshapeWindow(win->width,win->height);
            win->resize(win->width,win->height);
            glutPostRedisplay();
            return;
        }

        if(debug>9)
        {
            cout << "\n\n     Display "<< win->theplot  << "  true wiat: " << (!win->theplot || !win->theplot->wait || gwait) << endl;
        }
        {
            Clean();
            win->Display();
            glFlush();
            glutSwapBuffers();
            if ( win->windowdump)
                WindowDump(win->width,win->height);
            win->windowdump=false;
        }

    }
    if(debug>9)
    {
        cout << "  Send  SendForNextPlot : win->theplot " << win->theplot << "   " << (!win->theplot || !win->theplot->wait || gwait);;
        if(win->theplot) cout << "    wait" << win->theplot->wait << endl;
        cout <<"\n\n\n"<< endl;
    }
    if(!win->theplot || !win->theplot->wait || gwait )
        SendForNextPlot();

    if(!NoMorePlotTilte  &&NoMorePlot)
    {
        NoMorePlotTilte=true;
        glutSetWindowTitle("FreeFem++ / Program ended; enter ESC to exit)");
    }
}

static void Mouse( int button,int state,int x,int y )
{
    // state up or down
    x *= kscreenscale;
    y *= kscreenscale;

    OneWindow * win=CurrentWin();
    keyact = glutGetModifiers();
    switch(button)
    {
        case GLUT_LEFT_BUTTON:
            casemouse=GLUT_LEFT_BUTTON;
            if(win)
            {
                if(win && state == GLUT_DOWN) { win->xold=x,win->yold=y;return;}
                win->phi += (y-win->yold)/(2.*180.);
                win->theta -= (x-win->xold)/(2*180.);
                glutPostRedisplay();
            }
            break;
        case GLUT_RIGHT_BUTTON:
            casemouse=GLUT_RIGHT_BUTTON;
            if(win)
            {
                if(win && state == GLUT_DOWN) { win->xold=x,win->yold=y;return;}
            }
            break;

    }
}
static void MotionMouse(int x,int y )
{
    OneWindow * win=CurrentWin();
    x *= kscreenscale;
    y *= kscreenscale;
    switch(casemouse)
    {
        case GLUT_LEFT_BUTTON:

            if(win)
            {
                win->phi += (y-win->yold)/(2.*180.);
                win->theta -= (x-win->xold)/(2*180.);
                win->xold=x;
                win->yold=y;
                glutPostRedisplay();
            }
            break;
        case GLUT_RIGHT_BUTTON:
            casemouse=GLUT_RIGHT_BUTTON;

            if(win)
            {
                if(keyact & GLUT_ACTIVE_ALT)
                {
                    int dx = (x-win->xold);
                    int dy = (y-win->yold);
                    win->MoveXView(dx,-dy);
                    glutPostRedisplay();
                    { win->xold=x,win->yold=y;}
                }
                else {
                    //  zoom en y
                    R dd= (y-win->yold);

                    { win->xold=x,win->yold=y;}
                    win->zoom(pow(0.99,dd));
                    glutPostRedisplay();

                }
            }
            break;
    }

}

static void Key( unsigned char key, int x, int y )
{
    x *= kscreenscale;
    y *= kscreenscale;
    OneWindow * win=CurrentWin();
    if(!win->theplot)return;
    if(debug>1) cout << "Key winnum:  " <<win->theplot->winnum << endl;
    int ni=win->theplot->Viso.N();
    int na=win->theplot->Varrow.N();
    int nbN=win->theplot->nbN;
    
    win->help= false;
    switch (key)
    {
        case 27: // esc char
            Fin(0);
            break;
        case 3: // esc char
            Fin(9);
            break;
        case 'w':
            if(win)
                win->windowdump=true;
            break;
        case 'l':
            win->withlight = !win->withlight;
            break;
        case '?' :
            if(win)
                win->help= true;
            break;
        case '+':
            win->zoom(x,y,0.7);
            win->coef_dist /= 1.2;
            break;
        case '-':
            win->zoom(x,y,1./0.7);
            win->coef_dist *= 1.2;
            break;
        case '3':
            win->plotdim=win->plotdim==2?3:2;
            break;
        case '2':
            win->changePlotdim=win->changePlotdim==0 ? 1 : 0;
            break;
        case '=':
            win->DefaultView(1);
            break;
        case 'f':
            win->theplot->fill = ! win->theplot->fill  ;
            break;
        case '@':
            win->dtheta = win->dtheta ? 0 : pi/1800.;
            break;
        case '*': // add FH  mars 2013 ..
            win->keepPV = ! win->keepPV;
            if(debug) cout << "  ... win->keepPV "<< win->keepPV << endl;
            break;
        case 'k':
            if(win->theplot->NextCase())
            {
                R fmn,fmx,vmn,vmx;
                win->theplot->dyn_bfv(win,fmn,fmx,vmn,vmx) ;
                win->theplot->SetDefIsoV(ni,na,fmn,fmx,vmn,vmx) ;
                win->changeiso=true;
                win->changearrow=true;
            }
            break;

        case 'b':
            win->theplot->grey = ! win->theplot->grey   ;
            win->changeiso=true;
            win->changearrow=true;

            break;
        case 'g':
            win->theplot->grey = !  win->theplot->grey   ;
            win->changeiso=true;
            win->changearrow=true;

            break;

        case 'v':
            win->theplot->value = ! win->theplot->value  ;
            break;
        case 'm':
            win->theplot->drawmeshes = ! win->theplot->drawmeshes  ;
            break;
        case 'B':
            win->theplot->drawborder = ! win->theplot->drawborder  ;
            break;
        case 'H':
            win->rapz *= 1.2;
            break;
        case 'h':
            win->rapz /= 1.2;
            break;
        case 'p':
            if(win->icurrentPlot != win->lplots.begin())
                win->set(*--win->icurrentPlot);
            break;
        case 'a':
            win->theplot->coeff/= 1.2;
            win->changearrow=true;
            break;
        case 'A':
            win->theplot->coeff*= 1.2;
            win->changearrow=true;
            break;

        case 'n':
        {
            na  -=  na < 10  ? 2 : 5;
            ni  -=  ni <10 ? 2 : 5;
            na = max(na,2);
            ni = max(ni,2);
            R fmn,fmx,vmn,vmx;
            win->theplot->dyn_bfv(win,fmn,fmx,vmn,vmx) ;
            win->theplot->SetDefIsoV(ni,na,fmn,fmx,vmn,vmx) ;

            win->changeiso=true;
            win->changearrow=true;
        }
            break ;
        case 'N':
        {
            na  += na < 10  ? 2 : 5;
            ni  += ni < 10  ? 2 : 5;
        }
        case 'i':
        {
            R fmn,fmx,vmn,vmx;
            win->theplot->dyn_bfv(win,fmn,fmx,vmn,vmx) ;
            win->theplot->SetDefIsoV(ni,na,fmn,fmx,vmn,vmx) ;

            win->changeiso=true;
            win->changearrow=true;
        }
            break;
        case 'I':
        {
            R fmn,fmx,vmn,vmx;
            win->theplot->SetDefIsoV(ni,na) ;
            win->changeiso=true;
            win->changearrow=true;
        }
            break;
        case 'z':
            if(win->focal < my_pi/1.2 )
            {
                win->coef_dist*=sin(win->focal*1.2/2)/sin(win->focal/2);
                win->focal *=1.2;
            }
            break;
        case 'Z':
            if(win->focal > 1e-5)
            {
                win->coef_dist*=sin(win->focal/1.2/2)/sin(win->focal/2);
                win->focal /=1.2;
            }
            break;
        case '\r':
        case '\n':
        {
            list<ThePlot*>::iterator ic = win->icurrentPlot;
            if(++ic == win->lplots.end()) // last plot ->  try new one
                SendForNextPlot();
            else
                win->set(*++win->icurrentPlot);
            break;
        }
        case 'T':
            win->theplot->pNormalT = ! win->theplot->pNormalT  ;
            break;
        case 'Q':
        {
            win->theplot->nbN  /= win->theplot->nbN < 0  ? 0 : 2;
            break;
        }
        case 'q':
        {
            win->theplot->nbN  *= win->theplot->nbN < 0  ? 0 : 2;
            break;
        }
        default:
            if((debug > 10)) cout << " Key Character " << (int) key << " " << key << endl;

    }
    glutPostRedisplay();
}


void SpecialKey(int key, int x, int y)
{
    OneWindow * win=CurrentWin();
    if(win)
    {
        R dx(0),dy(0);
        switch (key) {
            case  GLUT_KEY_LEFT:   dx = -1; break;
            case  GLUT_KEY_RIGHT:  dx = +1; break;
            case  GLUT_KEY_DOWN:   dy = -1; break;
            case  GLUT_KEY_UP:     dy = +1; break;
        }
        // calcul du deplacement de xm,ym,zm;
        win->MoveXView(dx,dy);
        glutPostRedisplay();
    }
}

void LauchNextRead()
{
    if(!NoMorePlot)
    {
        inThreadRead=true;
        tidRead = Thread::Start(&ThreadRead,(void *) datafile);
    }
}

void WaitNextRead()
{
    if( inThreadRead )
    {
        assert(tidRead!=0);
        Thread::Wait(tidRead);
        tidRead =0;
        inThreadRead=false;;
    }
}

THREADFUNC(ThreadRead,fd)
{
    int err=0;
    assert(nextPlot==0);
    if(gwait) usleep((useconds_t) (gwait*1.e6) );
    err=ReadOnePlot((FILE*)fd);
    if(debug>1)
        cout << " We Read a plot  : " << kread << " " << nextPlot << " " << err << endl;
    if(err<0)
    {
        NoMorePlot=true;

    }
    Thread::Exit();
    return  0;
}


static  bool TryNewPlot( void )
{
    // the routine to try to see if the next plot is read or not.
    // -----------------------------------------------------------
    bool ret=false;
    if(debug>2)
        cout << "  TryNewPlot   plot : " << currentPlot << " next = " << nextPlot << endl;;
    if (nextPlot!=0)
    {

        WaitNextRead();
        int iwnp= nextPlot-> winnum;
        if(debug>1) cout << " change current plot to: " << nextPlot << " et  Lock Plot . winnum  " << iwnp << endl;;
        if(Num2Windows[iwnp]==0)
        {
            ostringstream titre;
            titre <<  "W "<< iwnp << " /FreeFem++: type return key to proceed (or ? for help on other)";
            int Height = 512;
            int Width = 512*3/2;

            glutInitWindowSize(Width , Height);
            glutInitWindowPosition(100+iwnp*50, 100+iwnp*50);
            int iw0=glutCreateWindow(titre.str().c_str());
            if(debug>1)  cout << " ** glutCreateWindow  " << iw0 << endl;
            glDisable(GL_DEPTH_TEST);
            glutReshapeFunc( Reshape ); // pour changement de fenetre
            glutKeyboardFunc( Key );    // pour les evenements clavier
            glutSpecialFunc(SpecialKey);
            glutMouseFunc(Mouse);       // pour les evenements sourie
            glutMotionFunc(MotionMouse); // les mouvements  de la sourie
            glutDisplayFunc( Display ); // l'affichage
            glutPushWindow();
            glutShowWindow();
            AllWindows[iw0]= new OneWindow(Width+1 , Height+1,nextPlot);
            Num2Windows[iwnp]=iw0;
        }
        else
            AllWindows[Num2Windows[iwnp]]->add(nextPlot);
        glutSetWindow(Num2Windows[iwnp]);
        currentPlot=nextPlot;
        nextPlot=0;
        LauchNextRead();
        ret=true;
    }
    if(gwait &&  NoMorePlot )
    {usleep((useconds_t)(1e6*gwait)); Fin(0); }

    return ret;
}
const char * Index(const char * p, const char c)
{
    int k=0;
    while(k++<1000000)
        if(!*p) return 0;
        else if(  *p==c) return p;
        else ++p;
    return 0;
}
const char * rIndex(const char * p, const char c)
{
    int k=0;
    const char *pp=0;
    while(k++<1000000)
        if(!*p) break;
        else if(  *p==c) pp= p;
        else ++p;
    return pp;
}
void     SetDefWin(const char *p,int & iii0,int & jjj0,int & Width,int &Height)
{
    // syntax
    //   1024x1024+100+100
    // or
    //  1024x1024
    const char  *bx = p;
    const char *by = Index(p,'x');
    const char *ox = Index(p,'+');
    const char *oy = rIndex(p,'+');
    if(by ==0) return;
    Width= atoi(bx);
    Height= atoi(by+1);
    if(ox && (ox != oy))
    {
        iii0= atoi(ox+1);
        jjj0=atoi(oy+1);
    }
    if(debug>1)
        cout << "  position = "<< Width << "x" << Height << "+"<< iii0 << "+" << jjj0 << endl;
    assert(Width >0 &&  Width < 3000);
    assert(Height >0 &&  Height < 3000);
    assert(iii0 >0 &&  iii0 < 3000);
    assert(jjj0 >0 &&  jjj0 < 3000);

}
int main(int argc,  char** argv)
{
    lockOrientation=0;// to get bad mesh !! FH mai 2021 
    ffapi::init();
    glutInit(&argc, argv);
    bool stereo=false;
    bool fullscreen = false;

    if(stereo)
        glutInitDisplayMode(GLUT_DOUBLE | GLUT_RGB | GLUT_DEPTH | GLUT_STEREO);
    else
        glutInitDisplayMode(GLUT_RGB | GLUT_DOUBLE | GLUT_DEPTH );
    int i1=1;
    int W = glutGet(GLUT_SCREEN_WIDTH);
    int H = glutGet(GLUT_SCREEN_HEIGHT);
    glutscreenscale = 1;
 #ifdef GLUT_WINDOW_SCALE
    glutscreenscale= glutGet(GLUT_WINDOW_SCALE);
    if(glutscreenscale < 0) // unsupported by original GLUT
        glutscreenscale = 1;
#endif
    int Height = glutscreenscale*2*H/3,Width = glutscreenscale*W*2/3, iii0=100,jjj0=100;
    
    string titre = "W0/FreeFem++: type return key to proceed (or ? for help on other)";
    int eerr=0;
    if(argc>1)
    {
        if( (i1 < argc) &&strcmp(argv[i1],"-?")==0) i1++,eerr=-1;
        if (i1 < argc)
        {
            if( strcmp(argv[i1],"-nv")==0) i1++,debug=0;
            else if( strcmp(argv[i1],"-v")==0) i1++,debug=2,verbosity=2;
            else if( strcmp(argv[i1],"-vv")==0) i1++,debug=5,verbosity=2;
            else if( strcmp(argv[i1],"-vvv")==0) i1++,debug=10, verbosity=1000;
            else if( strcmp(argv[i1],"-vvvv")==0) i1++,debug=99999, verbosity=1000;
            else if( strcmp(argv[i1],"-0")==0) return 0; // do nothing
        }
        if( (i1+1 < argc) && (strcmp(argv[i1],"-wait")==0)) { i1++; gwait=atof(argv[i1++]); }
        if( (i1+1 < argc) && (strcmp(argv[i1],"-g")==0)) {
            i1++;
            SetDefWin(argv[i1++], iii0,jjj0,Width,Height);
        }
        if( (i1+1 < argc) && (strcmp(argv[i1],"-t")==0)) {
            i1++;
            titre = argv[i1++];
        }
        if( (i1 -  argc > 1) )
        {
            eerr = 1;
            cout << " error ming args " << i1 -  argc  << endl;
        }
    }
    if(debug>1)
    {
        cout << " glutscreenscale " << glutscreenscale << " " << Width << " " << Height <<  " " << W << " " << H << endl;
    }
    datafile =0;
    if(debug>1)
        cout << "ffglut : " << (argc>i1) << eerr << endl;
    if(argc>i1 && (eerr==0))
    {
        datafile=fopen(argv[argc-1], "r");
        if(debug >1)
            cout << " fopen :" << argv[argc-1] << " " <<datafile << endl;
        if(datafile==0)
            eerr=100;

    }
    if(eerr)
    {
        cerr << " Erreur ffglut  [-nv|-v|-vv|-vvv] [-wait 0.5] [-g 512x300+10+10] [-t title] [file]" << endl;
        cerr << " err number " << eerr << endl;
        abort();
    }


    if(debug>1)
        cout <<  " mode read = " << MODE_READ_BINARY << endl;
    if(datafile==0)
        datafile=stdin;
    if ( !datafile){
        cerr<< " Erreur fdopen stdin in binary " << endl;
        Fin(1);
    }
    int err=ReadOnePlot(datafile);
    if(err) {
        Fin(1);}



    if(kread==0) {
        Fin(1);
    }
    if(debug>1)
        cout << "on a lue le premier plot next plot: " << nextPlot << endl;

    
  
    glutInitWindowSize((Width+1) , (Height+1));
    glutInitWindowPosition(iii0*glutscreenscale,jjj0*glutscreenscale);

    int iw0=glutCreateWindow(titre.c_str());
    GLint pView[4];
    glGetIntegerv(GL_VIEWPORT, pView);
 // hack to correct bug in Catalina , incompatibility Width and pView (glutscreenscale???)
    kscreenscale = (double) ( pView[2]- pView[0])/ (double) (Width+1) ;
    if (kscreenscale < 0.1) kscreenscale= 1;
    if(kscreenscale > 10.) kscreenscale=1;
    if( debug>1 )
    cout << "pView " << pView[0]<< " "<< pView[1]<< " "<< pView[2]<< " "<< pView[3]<< " kscreenscale=  " << kscreenscale << endl;
    
    Num2Windows[0]=iw0;
    glDisable(GL_DEPTH_TEST);
    glutReshapeFunc( Reshape ); // pour changement de fenetre
    glutKeyboardFunc( Key );    // pour les evenements clavier
    glutSpecialFunc(SpecialKey);
    glutMouseFunc(Mouse);       // pour les evenements sourie
    glutMotionFunc(MotionMouse); // les mouvements  de la sourie
    glutDisplayFunc( Display ); // l'affichage
    glutSetWindow(iw0);
    AllWindows[iw0]=new OneWindow(Width+1 , Height+1 ,currentPlot);
    TryNewPlot();
    glutMainLoop();

    return 0;
}
