/* transmission coefficient QED3D */
/* coded by Ikeuchi Mitsuru       */
/* ver 0.0.1   2005.12.29         */

import java.awt.*;
import java.awt.event.*;
import java.applet.*;

public class transmissionCoefQED3D extends Applet
  implements MouseListener, MouseMotionListener,
    ItemListener, ActionListener, AdjustmentListener, Runnable {

/* -------------------------------------- set global ------ */

  Choice ch_view;
  Button bt_reset, bt_startStop;
  Scrollbar sc_efield, sc_hight, sc_px0, sc_py0, sc_pz0;
  Thread th = null;

  Dimension dim;
  Image imgOff;
  Graphics gOff;

  int sleepTime = 30;

  int resetSW = 0;
  int started = 1;
  int dispMode = 1;

  double vvXpos = 64.0;
  double vvWidth = 6.0;
  double vvhight = 0.2;
  double fieldStrength = 0.02;
  double px0 = 0.5;
  double py0 = 0.0;
  double pz0 = 0.0;


  int dgX, dgY, dgXb,dgYb;
  double viewTheta = -15.0*3.14/180.0;
  double viewFai = -72.0*3.14/180.0;
  double dtheta = 0.0*3.14/180.0;
  double pai = 3.1415926536;

  double cosTh = Math.cos(viewTheta); 
  double sinTh = Math.sin(viewTheta);
  double cosFi = Math.cos(viewFai);
  double sinFi = Math.sin(viewFai);


  double t = 0.0;

  double dx = 1.0;
  double dy = 1.0;
  double dz = 1.0;
  double dt = 1.0*(dx*dx);

  int NNx = 128+1;
  int NNy = 64+1;
  int NNz = 64+1;
  int NN = NNx+1; /* max(NNx,NNy,NNz)+1 */
  int NNr = 500;

  double phRe[][][] = new double[NNx][NNy][NNz];
  double phIm[][][] = new double[NNx][NNy][NNz];  
  double vv[][][] = new double[NNx][NNy][NNz];

  double bRe[] = new double[NN];
  double bIm[] = new double[NN];
  double uRe[] = new double[NN];
  double uIm[] = new double[NN];

  int xpts[] = new int[NN];
  int ypts[] = new int[NN];
  double icol[] = new double[NN];

  int pxBox[] = new int[8];
  int pyBox[] = new int[8];
  int boxp[][] = {
   {0,1},{0,2},{0,4},{1,3},{1,5},{2,3},{2,6},{4,5},{4,6},{3,7},{5,7},{6,7}
  };

  double srh[] = new double[NNr+1];
  int xptr[] = new int[NNr+1];
  int yptr[] = new int[NNr+1];
  int zptr[] = new int[NNr+1];


/* ----------------------------- applet control ------ */

  public void init() {

    resize(630,400);
    setBackground(Color.white);

    dim = getSize();
    imgOff = createImage(dim.width,dim.height);
    gOff = imgOff.getGraphics();

    ch_view = new Choice();
    ch_view.addItem("density"); ch_view.addItem("phase"); ch_view.addItem("cloud");
	ch_view.addItem("p flow"); ch_view.addItem("p+dens");
    ch_view.addItem("v flow"); ch_view.addItem("v+dens");
    ch_view.addItem("grid 2D");
    ch_view.addItem("dens 2D"); ch_view.addItem("ph 2D");
    ch_view.addItemListener(this);
    ch_view.select("phase");

    bt_reset = new Button("reset");
    bt_reset.addActionListener(this);

    bt_startStop = new Button("start/stop");
    bt_startStop.addActionListener(this);

    sc_efield = new Scrollbar(Scrollbar.HORIZONTAL,100,10,10,1010);
    sc_efield.addAdjustmentListener(this);

    sc_hight = new Scrollbar(Scrollbar.HORIZONTAL,20,10,0,110);
    sc_hight.addAdjustmentListener(this);

    sc_px0 = new Scrollbar(Scrollbar.HORIZONTAL,50,10,0,110);
    sc_px0.addAdjustmentListener(this);

    sc_py0 = new Scrollbar(Scrollbar.HORIZONTAL,0,10,0,110);
    sc_py0.addAdjustmentListener(this);

    sc_pz0 = new Scrollbar(Scrollbar.HORIZONTAL,0,10,0,110);
    sc_pz0.addAdjustmentListener(this);

    addMouseListener(this);  
    addMouseMotionListener(this);

    setLayout(new BorderLayout());
    Panel pnl = new Panel();
    pnl.setLayout(new GridLayout(1,7,5,0));
	/* pnl.add(new Label("  ")); */
    pnl.add(bt_reset);
    pnl.add(bt_startStop);
    pnl.add(sc_px0);
    pnl.add(sc_hight);
    pnl.add(sc_efield);
    pnl.add(ch_view);
    add(pnl,"North");

    setInitialCondition();
  }

  public void start() {
    if (th == null) {
      th = new Thread(this);
      th.start();
    }
  }

  public void stop() {
    if (th != null) {
      th.stop();
      th = null;
    }
  }

  public void itemStateChanged(ItemEvent ev){
    if (ev.getSource() == ch_view){
      dispMode = ch_view.getSelectedIndex();
    }
  }

  public void actionPerformed(ActionEvent ev){
    if(ev.getSource() == bt_reset){ 
      resetSW = 1;
    } else if (ev.getSource() == bt_startStop){
      if (started==0) {
        started = 1;
      } else {
        started = 0;
      }
    }
  }

  public void adjustmentValueChanged(AdjustmentEvent ev){
    if (ev.getSource() == sc_efield) { 
      fieldStrength = 1.0e-4*(double)(sc_efield.getValue());
      setPotential(vvXpos,vvhight,fieldStrength);
    } else if (ev.getSource() == sc_hight) { 
      vvhight = 0.01*(double)(sc_hight.getValue());
      setPotential(vvXpos,vvhight,fieldStrength);
    } else if (ev.getSource() == sc_px0) { 
      px0 = 0.01*(double)(sc_px0.getValue());
    } else if (ev.getSource() == sc_py0) { 
      py0 = 0.01*(double)(sc_py0.getValue());
    } else if (ev.getSource() == sc_pz0) { 
      pz0 = 0.01*(double)(sc_pz0.getValue());
    }
  }

  public void mousePressed(MouseEvent ev){ }
  public void mouseReleased(MouseEvent ev){
    dgXb = 0; dgYb = 0;
    dgX = 0; dgY = 0;
  }
  public void mouseClicked(MouseEvent ev){ }
  public void mouseEntered(MouseEvent ev){ } 
  public void mouseExited (MouseEvent ev){ }

  public void mouseMoved  (MouseEvent ev){ }

  public void mouseDragged(MouseEvent ev){
    dgXb = dgX; dgYb = dgY;
    dgX=ev.getX();
    dgY=ev.getY();
    if (dgXb==0 && dgYb==0) {
      dgXb = dgX; dgYb = dgY;
    }
    viewTheta += 0.5*3.14/180.0*(dgX-dgXb);
    viewFai += 0.5*3.14/180.0*(dgY-dgYb);
    cosTh = Math.cos(viewTheta); 
    sinTh = Math.sin(viewTheta);
    cosFi = Math.cos(viewFai);
    sinFi = Math.sin(viewFai);
  }

  public void run() {
    while (th != null) {
      try {
        timeEvolution();
        offPaint();
        repaint();
        Thread.sleep(sleepTime);
      } catch (InterruptedException e) { }
    }
  }

  public void update(Graphics g) {
    paint(g);
  }

  public void paint(Graphics g) {
    g.drawImage(imgOff,0,0,this);
  }

/* ----------------------------- offPaint -------------------- */

  void offPaint() {
    int gb;
    double ev,ek;

    gOff.setColor(Color.white);
    gOff.fillRect(0,0,dim.width,dim.height);

    ev = meanPotential();
    ek = meanKinetic();

    if (dispMode==0) {
      boxPlot();
      dens3DPlot(100000.0,0);
      boxPlot2();

    } else if (dispMode==1) {
      boxPlot();
      dens3DPlot(100000.0,1);
      boxPlot2();

    } else if (dispMode==2) {
      boxPlot();
      cloud3DPlot();
      boxPlot2();

    } else if (dispMode==3) {
      boxPlot();
      momentum3DPlot(200000.0,0);
      boxPlot2();

    } else if (dispMode==4) {
      boxPlot();
      momentum3DPlot(200000.0,1);
      boxPlot2();

    } else if (dispMode==5) {
      boxPlot();
      momentum3DPlot(200000.0,2);
      boxPlot2();

    } else if (dispMode==6) {
      boxPlot();
      momentum3DPlot(200000.0,3);
      boxPlot2();

    } else if (dispMode==7) {
      gridPlot(NNz/2, 100000, 100.0);

    } else if (dispMode==8) {
      densPlot(20000.0, 0);

    } else if (dispMode==9) {
      densPlot(20000.0, 1);

    } else if (dispMode==10) {
      ;

    } else if (dispMode==11) {
      ;

    }

    gOff.setColor(Color.blue);
    gOff.drawString("t="+(int)(t*10)/10.0+" au",10,40);
    gOff.drawString("t="+(int)(t*2.4189+0.5)/100.0+" fs",10,60);
    if (started==1) { 
      gOff.drawString("start",630/6*1+10,40);
    } else {
      gOff.drawString("stop",630/6*1+10,40);
    }
    gOff.drawString("box = 128 x 64 x 64 au",630/6*1+10,60);

    gOff.drawString("px0="+(int)(px0*100.0+0.5)/100.0+" au",630/6*2+10,40);
    gOff.drawString("hight="+(int)(vvhight*100.0+0.5)/100.0+" au",630/6*3+10,40);
    gOff.drawString("(="+(int)(vvhight*27.2*100.0+0.5)/100.0+" eV)",630/6*3+10,60);
    gOff.drawString("field="+(int)(fieldStrength*1000.0+0.5)/1000.0+" au",630/6*4+10,40);
    gOff.drawString("(="+(int)(fieldStrength*51.0*1000+0.5)/1000.0+" GV/m)",630/6*4+10,60);
    gOff.drawString("view",630/6*5+10,40);

    gOff.setColor(Color.black);
    gOff.drawString("K="+(float)(ek)+" au",500,80);
    gOff.drawString("U="+(float)(ev)+" au",500,100);
    gOff.drawString("E="+(float)(ek+ev)+" au",500,120);

    gOff.drawString("nLeft="+(float)(nLeft())+" ",30,360);
    gOff.drawString("nRight="+(float)(nRight())+" ",250,360);
    gOff.drawString("norm="+norm()+" ",30,380);

  }

/*------------------------------- plot methods  ------------*/

  void densPlot(double weight, int mode) {
    int i,j,k;
    int gbx,gby,mag;
    double ph2,col;

    gbx = 30;
    gby = 100;
    mag = 3;
    gOff.setColor(Color.black);
    gOff.fillRect(gbx-1,gby-1,mag*NNx+1,mag*NNy+1);

    k = NNz/2;
    for (i=1; i<NNx-1; i++) {
      for (j=1; j<NNy-1; j++) {
        if (vv[i][j][k]>0.0) {
          gOff.setColor(Color.getHSBColor(0.33f, 0.95f, 0.6f));
          gOff.fillRect(gbx+mag*i,gby+mag*j, mag, mag);
        }
        ph2 = weight*(phRe[i][j][k]*phRe[i][j][k]+phIm[i][j][k]*phIm[i][j][k]);
        if (ph2>0.0001) {
          if (ph2>1.0) {
            ph2 = 1.0;
		  }
          if (mode==0) {
            gOff.setColor(Color.getHSBColor(0.15f, 0.95f, (float)(ph2)));
          } else if (mode==1) {
            gOff.setColor(Color.getHSBColor((float)(0.5+0.5*phRe[i][j][k]/Math.sqrt(ph2/weight)), 0.9f, (float)(ph2)));
          }
          gOff.fillRect(gbx+mag*i,gby+mag*j, mag, mag);
        }
      }
    }
  }

  void gridPlot(int zPos,double phWeight, double vvWeight) {
    int i,j,k,gbx,gby;
    int cx,cy,cz;
    double z,px,py,pz,sc;
    double ph2;

    cx = NNx/2;
    cy = NNy/2;
    cz = 0;
    sc = 4.0;

    gbx = 30+(int)(cx/sc);
    gby = 60+(int)(cy/sc);
    k = zPos;

    for(j=0; j<NNy; j += 2) {
      for (i=0; i<NNx; i++) { 
        ph2 = phRe[i][j][k]*phRe[i][j][k]+phIm[i][j][k]*phIm[i][j][k];
        z = phWeight*ph2 + vvWeight*vv[i][j][k] + cz;
        py = cosFi*(j-cy)+sinFi*(z-cz) + cy; 
        pz = -sinFi*(j-cy)+cosFi*(z-cz) + cz;
        px = cosTh*(i-cx)+sinTh*(pz-cz) + cx; 
        pz = -sinTh*(i-cx)+cosTh*(pz-cz) + cz;
        xpts[i] = (int)(sc*px)+gbx;
        ypts[i] = (int)(sc*py)+gby;
        if (ph2>0.000005) {
          icol[i] = 0.15;
        } else if (vv[i][j][k]>0.0) {
          icol[i] = 0.33;
        } else {
          icol[i] = 0.66;
        }
      }
      for (i=0; i<NNx-1; i++) {
        gOff.setColor(Color.getHSBColor((float)icol[i],0.9f,0.9f));
        gOff.drawLine(xpts[i],ypts[i],xpts[i+1],ypts[i+1]);
      }
    }

    for(i=0; i<NNx; i += 2) {
      for (j=0; j<NNy; j++) {
        ph2 = phRe[i][j][k]*phRe[i][j][k]+phIm[i][j][k]*phIm[i][j][k];
        z = phWeight*ph2 + vvWeight*vv[i][j][k] + cz;
        py = cosFi*(j-cy)+sinFi*(z-cz) + cy; 
        pz = -sinFi*(j-cy)+cosFi*(z-cz) + cz;
        px = cosTh*(i-cx)+sinTh*(pz-cz) + cx; 
        pz = -sinTh*(i-cx)+cosTh*(pz-cz) + cz;
        xpts[j] = (int)(sc*px)+gbx;
        ypts[j] = (int)(sc*py)+gby;
        if (ph2>0.00001) {
          icol[j] = 0.15;
        } else if (vv[i][j][k]>0.0) {
          icol[j] = 0.33;
        } else {
          icol[j] = 0.66;
        }
      }
      for (j=0; j<NNy-1; j++) { 
        gOff.setColor(Color.getHSBColor((float)icol[j],0.9f,0.9f));
        gOff.drawLine(xpts[j],ypts[j],xpts[j+1],ypts[j+1]);
      }
    }
  }


  void dens3DPlot(double weight,int mode) {
    int i,j,k,ix,iy,ir;
    int gbx,gby;
    double cxx,cyy,czz;
    double z,ppx,ppy,ppz;
    double mag,dens,col;

    gbx = 60;
    gby = 100;
    mag = 3.0;
    cxx = mag*(NNx/2.0); 
    cyy = mag*(NNy/2.0);
    czz = mag*(NNz/2.0);

    for (i=0; i<NNx; i+=2) {
      for(j=0; j<NNy; j +=2) {
        for (k=0; k<NNz; k+=2) {
          if (vv[i][j][k]>0.0) {
            z = k*mag;
            ppy = cosFi*(j*mag-cyy)+sinFi*(z-czz) + cyy; 
            ppz = -sinFi*(j*mag-cyy)+cosFi*(z-czz) + czz;
            ppx = cosTh*(i*mag-cxx)+sinTh*(ppz-czz) + cxx; 
            ppz = -sinTh*(i*mag-cxx)+cosTh*(ppz-czz) + czz;
            ir = 2;
            ix = (int)(ppx)+gbx;
            iy = (int)(ppy)+gby;
            gOff.setColor(Color.getHSBColor(0.33f, 0.9f,0.9f));
            gOff.fillOval(ix-ir/2,iy-ir/2,ir,ir);
          }
          dens =  phRe[i][j][k]*phRe[i][j][k]+phIm[i][j][k]*phIm[i][j][k];
          ir = (int)(weight*dens+0.5);
          if (ir>0) {
            if (ir>10) {
              ir = 10;
            }
            z = k*mag;
            ppy = cosFi*(j*mag-cyy)+sinFi*(z-czz) + cyy; 
            ppz = -sinFi*(j*mag-cyy)+cosFi*(z-czz) + czz;
            ppx = cosTh*(i*mag-cxx)+sinTh*(ppz-czz) + cxx; 
            ppz = -sinTh*(i*mag-cxx)+cosTh*(ppz-czz) + czz;

            ix = (int)(ppx)+gbx;
            iy = (int)(ppy)+gby;
            col = 0.0;
            if (mode==0) {
              col = 0.66 -0.05*dens;
              if (col<0.0) {
                col = 0.0;
              }
            } else if (mode==1) {
              col = 0.5+0.5*phRe[i][j][k]/Math.sqrt(dens);
            }
            gOff.setColor(Color.getHSBColor((float)col, 0.9f,0.9f));
            gOff.fillOval(ix-ir/2,iy-ir/2,ir,ir);
          }
        }
      }
    }

  }


  void cloud3DPlot() {
    int i,j,k,ix,iy,ir,m;
    int gbx,gby;
    double cxx,cyy,czz;
    double z,ppx,ppy,ppz;
    double mag;

    setsrh();

    gbx = 60;
    gby = 100;
    mag = 3.0;
    cxx = mag*(NNx/2.0); 
    cyy = mag*(NNy/2.0);
    czz = mag*(NNz/2.0);
    ir = 4;

    for (i=1; i<NNx-1; i+=2) {
      for (j=1; j<NNy-1; j +=2) {
        for (k=1; k<NNz-1; k+=2) {  
          if (vv[i][j][k]>0.0) {
            z = k*mag;
            ppy = cosFi*(j*mag-cyy)+sinFi*(z-czz) + cyy; 
            ppz = -sinFi*(j*mag-cyy)+cosFi*(z-czz) + czz;
            ppx = cosTh*(i*mag-cxx)+sinTh*(ppz-czz) + cxx; 
            ppz = -sinTh*(i*mag-cxx)+cosTh*(ppz-czz) + czz;

            ix = (int)(ppx)+gbx;
            iy = (int)(ppy)+gby;
            gOff.setColor(Color.getHSBColor(0.33f, 0.95f,0.95f));
            gOff.fillOval(ix-2,iy-2,4,4);
          }
        }
      }
    }

    for (m=0; m<NNr-1; m++) {
      i=xptr[m]; j=yptr[m]; k=zptr[m]; 
      z = k*mag;
      ppy = cosFi*(j*mag-cyy)+sinFi*(z-czz) + cyy; 
      ppz = -sinFi*(j*mag-cyy)+cosFi*(z-czz) + czz;
      ppx = cosTh*(i*mag-cxx)+sinTh*(ppz-czz) + cxx; 
      ppz = -sinTh*(i*mag-cxx)+cosTh*(ppz-czz) + czz;

      ix = (int)(ppx)+gbx;
      iy = (int)(ppy)+gby;
      gOff.setColor(Color.getHSBColor(0.66f, 0.9f,0.9f));
      gOff.fillOval(ix-ir/2,iy-ir/2,ir,ir);
    }
  }


  void momentum3DPlot(double weight,int mode) {
    int i,j,k,ix,iy,ix2,iy2,ir;
    int gbx,gby;
    double cxx,cyy,czz;
    double z,ppx,ppy,ppz;
    double mag,dens,col,amp;
    double px,pxphRe,pxphIm,py,pyphRe,pyphIm,pz,pzphRe,pzphIm,pAbs;

    gbx = 60;
    gby = 100;
    mag = 3.0;
    amp = 500000.0;
    cxx = mag*(NNx/2.0); 
    cyy = mag*(NNy/2.0);
    czz = mag*(NNz/2.0);

    for (i=2; i<NNx-1; i+=4) {
      for(j=2; j<NNy-1; j +=4) {
        for (k=2; k<NNz-1; k+=4) {
          if (vv[i][j][k]>0.0) {
            z = k*mag;
            ppy = cosFi*(j*mag-cyy)+sinFi*(z-czz) + cyy; 
            ppz = -sinFi*(j*mag-cyy)+cosFi*(z-czz) + czz;
            ppx = cosTh*(i*mag-cxx)+sinTh*(ppz-czz) + cxx; 
            ppz = -sinTh*(i*mag-cxx)+cosTh*(ppz-czz) + czz;
            ir = 2;
            ix = (int)(ppx)+gbx;
            iy = (int)(ppy)+gby;
            gOff.setColor(Color.getHSBColor(0.33f, 0.9f,0.9f));
            gOff.fillOval(ix-ir/2,iy-ir/2,ir,ir);
          }
          dens =  (phRe[i][j][k]*phRe[i][j][k]+phIm[i][j][k]*phIm[i][j][k]);
          if (dens>0.000005) {
            pxphRe = (phIm[i+1][j][k]-phIm[i-1][j][k])/(2*dx);
            pxphIm = (-phRe[i+1][j][k]+phRe[i-1][j][k])/(2*dx);
            px = (phRe[i][j][k]*pxphRe + phIm[i][j][k]*pxphIm);
            pyphRe = (phIm[i][j+1][k]-phIm[i][j-1][k])/(2*dy);
            pyphIm = (-phRe[i][j+1][k]+phRe[i][j-1][k])/(2*dy);
            py = (phRe[i][j][k]*pyphRe + phIm[i][j][k]*pyphIm);
            pzphRe = (phIm[i][j][k+1]-phIm[i][j][k-1])/(2*dz);
            pzphIm = (-phRe[i][j][k+1]+phRe[i][j][k-1])/(2*dz);
            pz = (phRe[i][j][k]*pzphRe + phIm[i][j][k]*pzphIm);

            z = k*mag;
            ppy = cosFi*(j*mag-cyy)+sinFi*(z-czz) + cyy; 
            ppz = -sinFi*(j*mag-cyy)+cosFi*(z-czz) + czz;
            ppx = cosTh*(i*mag-cxx)+sinTh*(ppz-czz) + cxx; 
            ppz = -sinTh*(i*mag-cxx)+cosTh*(ppz-czz) + czz;
            ix = (int)(ppx)+gbx;
            iy = (int)(ppy)+gby;
            if (mode==2 || mode==3) {
              px = 0.0001*px/dens; py = 0.0001*py/dens; pz = 0.0001*pz/dens;
            }
            z = k*mag+pz*amp;
            ppy = cosFi*(j*mag+py*amp-cyy)+sinFi*(z-czz) + cyy; 
            ppz = -sinFi*(j*mag+py*amp-cyy)+cosFi*(z-czz) + czz;
            ppx = cosTh*(i*mag+px*amp-cxx)+sinTh*(ppz-czz) + cxx; 
            ppz = -sinTh*(i*mag+px*amp-cxx)+cosTh*(ppz-czz) + czz;
            ix2 = (int)(ppx)+gbx;
            iy2 = (int)(ppy)+gby;
			if (px>0) {
			  gOff.setColor(Color.getHSBColor(0.66f, 0.9f,0.9f));
			} else {
              gOff.setColor(Color.getHSBColor(0.01f, 0.9f,0.9f));
			}
            gOff.drawLine(ix,iy,ix2,iy2);
            if (mode==1 || mode==3) {
              dens =  phRe[i][j][k]*phRe[i][j][k]+phIm[i][j][k]*phIm[i][j][k];
              ir = (int)(weight*dens); 
              if (ir>3) ir = 3;
			  gOff.setColor(Color.gray);
              gOff.fillOval(ix-ir/2,iy-ir/2,ir,ir);
            }
          }
        }
      }
    }

  }


  void boxPlot() {
    int i,j,k,ip,i1,i2;
    int gbx,gby;
    double cxx,cyy,czz;
    double z,ppx,ppy,ppz;
    double mag,dens;

    gbx = 60;
    gby = 100;
    mag = 3.0;
    cxx = mag*(NNx/2.0); 
    cyy = mag*(NNy/2.0);
    czz = mag*(NNz/2.0);

    ip = 0;
    for (i=0; i<NNx; i+=NNx-1) {
      for(j=0; j<NNy; j+=NNy-1) {
        for (k=0; k<NNz; k+=NNz-1) {
          z = k*mag;
          ppy = cosFi*(j*mag-cyy)+sinFi*(z-czz) + cyy; 
          ppz = -sinFi*(j*mag-cyy)+cosFi*(z-czz) + czz;
          ppx = cosTh*(i*mag-cxx)+sinTh*(ppz-czz) + cxx; 
          ppz = -sinTh*(i*mag-cxx)+cosTh*(ppz-czz) + czz;

          pxBox[ip] = (int)(ppx)+gbx;
          pyBox[ip] = (int)(ppy)+gby;
          ip += 1;
        }
      }
    }
    gOff.setColor(Color.gray);
    for (i=0; i<12; i++) {
      i1= boxp[i][0]; i2= boxp[i][1];
      if (i1==0) {
        gOff.setColor(Color.gray);
        gOff.drawLine(pxBox[i1],pyBox[i1],pxBox[i2],pyBox[i2]);
      }
    }
  }

  void boxPlot2() {
    int i,i1,i2;

    for (i=0; i<12; i++) {
      i1= boxp[i][0]; i2= boxp[i][1];
      if (i1 != 0) {
        gOff.setColor(Color.black);
        gOff.drawLine(pxBox[i1],pyBox[i1],pxBox[i2],pyBox[i2]);
      }
    }
  }

/*-------------------------- statistics ----------*/

  double norm() {
    int i,j,k;
    double p;

    p = 0.0;
    for (i=1;i<NNx-1;i++) {
      for (j=1;j<NNy-1;j++) {
        for (k=1;k<NNz-1;k++) {
          p += (phRe[i][j][k]*phRe[i][j][k]+phIm[i][j][k]*phIm[i][j][k]);
        }
      }
    }
    return ( p*dx*dy*dz );
  }

  double meanPotential() {
    int i,j,k;
    double p;

    p = 0.0;
    for (i=1;i<NNx-1;i++) {
      for (j=1;j<NNy-1;j++) {
        for (k=1;k<NNz-1;k++) {
          p += vv[i][j][k]*(phRe[i][j][k]*phRe[i][j][k]+phIm[i][j][k]*phIm[i][j][k]);
        }
      }
    }
    return ( p*dx*dy*dz );
  }

  double meanKinetic() {
    int i,j,k;
    double p,d2phRe,d2phIm,h2;

    h2 = dx*dx;
    p = 0.0;
    for (i=1;i<NNx-1;i++) {
      for (j=1;j<NNy-1;j++) {
        for (k=1;k<NNz-1;k++) {
          d2phRe = (phRe[i+1][j][k]+phRe[i-1][j][k]+phRe[i][j+1][k]+phRe[i][j-1][k]+phRe[i][j][k+1]+phRe[i][j][k-1]-6.0*phRe[i][j][k])/h2;
          d2phIm = (phIm[i+1][j][k]+phIm[i-1][j][k]+phIm[i][j+1][k]+phIm[i][j-1][k]+phIm[i][j][k+1]+phIm[i][j][k-1]-6.0*phIm[i][j][k])/h2;
          p += (phRe[i][j][k]*d2phRe+phIm[i][j][k]*d2phIm);
        }
      }
    }
    return ( -0.5*p*dx*dy*dz );
  }


  void setsrh() {
    int i,j,k,m;
    double s;

    for (i=0;i<NNr;i++) {
      srh[i] = Math.random();
    }

    for (i=0;i<NNr;i++) {
      for (j=0;j<NNr-1;j++) {
        if (srh[j]>srh[j+1]) {
          s = srh[j+1]; srh[j+1] = srh[j]; srh[j] = s;
        }
      }
    }

    m = 0;
    s = 0.0;
    for (i=0;i<NNx;i++) {
      for (j=0;j<NNy;j++) {
        for (k=0;k<NNz;k++) {
          s += (phRe[i][j][k]*phRe[i][j][k]+phIm[i][j][k]*phIm[i][j][k])*dx*dy*dz;
          while (s>srh[m] && m<NNr) {
            xptr[m] = i; yptr[m] = j; zptr[m] = k;
		    m +=1;
          }
        }
      }
    }
  }

  double nLeft() {
    int i,j,k;
    double p;

    p = 0.0;
    for (i=1;i<NNx-1;i++) {
      for (j=1;j<NNy-1;j++) {
        for (k=1;k<NNz-1;k++) {
		  if (i*dx<vvXpos) {
            p += (phRe[i][j][k]*phRe[i][j][k]+phIm[i][j][k]*phIm[i][j][k]);
		  }
        }
      }
    }
    return ( p*dx*dy*dz );
  }

  double nRight() {
    int i,j,k;
    double p;

    p = 0.0;
    for (i=1;i<NNx-1;i++) {
      for (j=1;j<NNy-1;j++) {
        for (k=1;k<NNz-1;k++) {
		  if (i*dx>vvXpos+vvWidth) {
            p += (phRe[i][j][k]*phRe[i][j][k]+phIm[i][j][k]*phIm[i][j][k]);
		  }
        }
      }
    }
    return ( p*dx*dy*dz );
  }

/*-------------------------- set initial condition ----------*/

  void setInitialCondition() {

    t = 0.0;
    setWave(32.0,32.0,32.0, 5.0, px0, py0,pz0);
    setPotential(vvXpos,vvhight,fieldStrength);

  }

/* ----------------------------- set potential -------------- */

  void setPotential(double xpos, double hight, double eField) {
    int i,j,k;
    double x,y,z;

    for (i=1;i<NNx-1;i++) {
      for (j=1;j<NNy-1;j++) {
        for (k=1;k<NNz-1;k++) {
          x = i*dx;
          y = j*dy;
          z = k*dz;
		  if (x>xpos) {
		    vv[i][j][k] = hight-eField*(x-xpos);
			if (vv[i][j][k]<-0.1) vv[i][j][k] = -0.1;
		  } else {
            vv[i][j][k] = 0.0;
		  }
        }
      }
    }
  }

/* ----------------------------- set wave packet -------------- */

  void setWave(double xPos, double yPos, double zPos, double waveWidth, double kx, double ky, double kz) {
    int i,j,k;
    double a,x,y,z,phAb,phPh;

    for (i=1;i<NNx-1;i++) {
      for (j=1;j<NNy-1;j++) {
        for (k=1;k<NNz-1;k++) {
          x = i*dx;
          y = j*dy;
          z = k*dz;
          phAb = Math.exp(-((x-xPos)*(x-xPos)+(y-yPos)*(y-yPos)+(z-zPos)*(z-zPos))/(4.0*waveWidth*waveWidth) );
          phPh = kx*x+ky*y+kz*z;
          phRe[i][j][k] = phAb*Math.cos(phPh);
          phIm[i][j][k] = phAb*Math.sin(phPh);
        }
      }
    }

    for (i=1;i<NNx-1;i++) {
      for (j=1;j<NNy-1;j++) {
        phRe[i][j][0] = 0.0;
        phIm[i][j][0] = 0.0;
        phRe[i][j][NNz-1] = 0.0;
        phIm[i][j][NNz-1] = 0.0;
      }
    }
    for (i=1;i<NNx-1;i++) {
      for (k=1;k<NNz-1;k++) {
        phRe[i][0][k] = 0.0;
        phIm[i][0][k] = 0.0;
        phRe[i][NNy-1][k] = 0.0;
        phIm[i][NNy-1][k] = 0.0;
      }
    }
    for (j=1;j<NNy-1;j++) {
      for (k=1;k<NNz-1;k++) {
        phRe[0][j][k] = 0.0;
        phIm[0][j][k] = 0.0;
        phRe[NNx-1][j][k] = 0.0;
        phIm[NNx-1][j][k] = 0.0;
      }
    }

    a = Math.sqrt(norm());
	
    for (i=1;i<NNx-1;i++) {
      for (j=1;j<NNy-1;j++) {
        for (k=1;k<NNz-1;k++) {
          phRe[i][j][k] = phRe[i][j][k]/a;
          phIm[i][j][k] = phIm[i][j][k]/a;
        }
      }
    }

  }

/* ----------------------------- timeEvolution -------------- */

  void timeEvolution() {
    int i;

    if (resetSW==1) {
      setInitialCondition();
      resetSW = 0;
      started = 1;
    }

	if (started==1) {
      for (i=0; i<2; i++) {
        t = t + dt;
        phaseStep();
        kxStep();
        kyStep();
        kzStep();
        phaseStep();
      }
    }
  }

/* ----------------------------- time step -------------- */

  void kxStep() {
    int i,j,k;
    double bbRe,bbIm,aaRe,aaIm,aaAb,auAb;

    bbRe = 2.0;
    bbIm = 4*dx*dx/dt;
    aaRe = -2.0;
    aaIm = 4*dx*dx/dt;
    aaAb = aaRe*aaRe+aaIm*aaIm;

    for (k=1; k<NNz-1; k++) {
      for (j=1; j<NNy-1; j++) {
        for (i=1; i<NNx-1; i++) {
          bRe[i] = bbRe*phRe[i][j][k]-bbIm*phIm[i][j][k] - phRe[i+1][j][k] - phRe[i-1][j][k];
          bIm[i] = bbRe*phIm[i][j][k]+bbIm*phRe[i][j][k] - phIm[i+1][j][k] - phIm[i-1][j][k];
        }

        uRe[1] = aaRe/aaAb;
        uIm[1] = -aaIm/aaAb;
        phRe[1][j][k] = bRe[1]*uRe[1] - bIm[1]*uIm[1];
        phIm[1][j][k] = bIm[1]*uRe[1] + bRe[1]*uIm[1];

        for (i=2; i<NNx-1; i++) {
          auAb = (aaRe-uRe[i-1])*(aaRe-uRe[i-1])+(aaIm-uIm[i-1])*(aaIm-uIm[i-1]);
          uRe[i] = (aaRe-uRe[i-1])/auAb;
          uIm[i] = -(aaIm-uIm[i-1])/auAb;
          phRe[i][j][k] = (bRe[i]-phRe[i-1][j][k])*uRe[i] - (bIm[i]-phIm[i-1][j][k])*uIm[i];
          phIm[i][j][k] = (bRe[i]-phRe[i-1][j][k])*uIm[i] + (bIm[i]-phIm[i-1][j][k])*uRe[i];
        }

        for (i=NNx-3; i>=1; i--) {
          phRe[i][j][k] -= phRe[i+1][j][k]*uRe[i] - phIm[i+1][j][k]*uIm[i];
          phIm[i][j][k] -= phRe[i+1][j][k]*uIm[i] + phIm[i+1][j][k]*uRe[i];
        }
      }
    }
  }

  void kyStep() {
    int i,j,k;
    double bbRe,bbIm,aaRe,aaIm,aaAb,auAb;

    bbRe = 2.0;
    bbIm = 4*dx*dx/dt;
    aaRe = -2.0;
    aaIm = 4*dx*dx/dt;
    aaAb = aaRe*aaRe+aaIm*aaIm;

    for (i=1; i<NNx-1; i++) {
      for (k=1; k<NNz-1; k++) {
        for (j=1; j<NNy-1; j++) {
          bRe[j] = bbRe*phRe[i][j][k]-bbIm*phIm[i][j][k] - phRe[i][j+1][k] - phRe[i][j-1][k];
          bIm[j] = bbRe*phIm[i][j][k]+bbIm*phRe[i][j][k] - phIm[i][j+1][k] - phIm[i][j-1][k];
        }

        uRe[1] = aaRe/aaAb;
        uIm[1] = -aaIm/aaAb;
        phRe[i][1][k] = bRe[1]*uRe[1] - bIm[1]*uIm[1];
        phIm[i][1][k] = bIm[1]*uRe[1] + bRe[1]*uIm[1];

        for (j=2; j<NNy-1; j++) {
          auAb = (aaRe-uRe[j-1])*(aaRe-uRe[j-1])+(aaIm-uIm[j-1])*(aaIm-uIm[j-1]);
          uRe[j] = (aaRe-uRe[j-1])/auAb;
          uIm[j] = -(aaIm-uIm[j-1])/auAb;
          phRe[i][j][k] = (bRe[j]-phRe[i][j-1][k])*uRe[j] - (bIm[j]-phIm[i][j-1][k])*uIm[j];
          phIm[i][j][k] = (bRe[j]-phRe[i][j-1][k])*uIm[j] + (bIm[j]-phIm[i][j-1][k])*uRe[j];
        }

        for (j=NNy-3; j>=1; j--) {
          phRe[i][j][k] -= phRe[i][j+1][k]*uRe[j] - phIm[i][j+1][k]*uIm[j];
          phIm[i][j][k] -= phRe[i][j+1][k]*uIm[j] + phIm[i][j+1][k]*uRe[j];
        }
      }
    }
  }

  void kzStep() {
    int i,j,k;
    double bbRe,bbIm,aaRe,aaIm,aaAb,auAb;

    bbRe = 2.0;
    bbIm = 4*dx*dx/dt;
    aaRe = -2.0;
    aaIm = 4*dx*dx/dt;
    aaAb = aaRe*aaRe+aaIm*aaIm;

    for (i=1; i<NNx-1; i++) {
      for (j=1; j<NNy-1; j++) {
        for (k=1; k<NNz-1; k++) {
          bRe[k] = bbRe*phRe[i][j][k]-bbIm*phIm[i][j][k] - phRe[i][j][k+1] - phRe[i][j][k-1];
          bIm[k] = bbRe*phIm[i][j][k]+bbIm*phRe[i][j][k] - phIm[i][j][k+1] - phIm[i][j][k-1];
        }

        uRe[1] = aaRe/aaAb;
        uIm[1] = -aaIm/aaAb;
        phRe[i][j][1] = bRe[1]*uRe[1] - bIm[1]*uIm[1];
        phIm[i][j][1] = bIm[1]*uRe[1] + bRe[1]*uIm[1];

        for (k=2; k<NNz-1; k++) {
          auAb = (aaRe-uRe[k-1])*(aaRe-uRe[k-1])+(aaIm-uIm[k-1])*(aaIm-uIm[k-1]);
          uRe[k] = (aaRe-uRe[k-1])/auAb;
          uIm[k] = -(aaIm-uIm[k-1])/auAb;
          phRe[i][j][k] = (bRe[k]-phRe[i][j][k-1])*uRe[k] - (bIm[k]-phIm[i][j][k-1])*uIm[k];
          phIm[i][j][k] = (bRe[k]-phRe[i][j][k-1])*uIm[k] + (bIm[k]-phIm[i][j][k-1])*uRe[k];
        }

        for (k=NNz-3; k>=1; k--) {
          phRe[i][j][k] -= phRe[i][j][k+1]*uRe[k] - phIm[i][j][k+1]*uIm[k];
          phIm[i][j][k] -= phRe[i][j][k+1]*uIm[k] + phIm[i][j][k+1]*uRe[k];
        }
      }
    }

  }

  void phaseStep() {
    int i,j,k;
    double th,cs,sn,phr,phi;

    for (i=1; i<NNx-1; i++) {
      for (j=1; j<NNy-1; j++) {
        for (k=1; k<NNz-1; k++) {
          th = 0.5*dt*vv[i][j][k];
          cs = Math.cos(th); sn = Math.sin(th);
          phr = phRe[i][j][k];
          phi = phIm[i][j][k];
          phRe[i][j][k] = cs*phr+sn*phi;
          phIm[i][j][k] = cs*phi-sn*phr;
        }
      }
    }
  }

/* ----------------------------- end of applet -------------- */

}