// search2.java   from global search dx = 0.001 

public class search2
{
  double f(double x, double y)
  {
    return  Math.exp(Math.sin(60.0*x)) + Math.sin(50.0*Math.exp(y)) +
            Math.sin(70.0*Math.sin(x)) + Math.sin(Math.sin(80.0*y)) -
            Math.sin(20.0*(x+y)) + (x*x+y*y)/4.0;
  } // end f

  public search2()
  {
    double xmin = 0.0; // computed
    double xmax = 0.0;
    double ymin = 0.0;
    double ymax = 0.0;
    double z;
    double dx = 0.001;
    double dy = 0.001;
    double xbest = 0.07100000000000094;
    double ybest = 0.2990000000000011;
    double zbest = -3.234835266318443;
    double dxbest = 0.0;
    double dybest = 0.0;
    
    System.out.println("search2.java running");
    System.out.println("starting at global search");
    System.out.println("xbest="+xbest);
    System.out.println("ybest="+ybest);
    System.out.println("zbest="+zbest);
    System.out.println("dx="+dx+"  dy="+dy);
    for(int k=0; k<30; k++) // each time dx and dy half previous
    {
      xmin = xbest - dx;
      xmax = xbest + dx;
      ymin = ybest - dy;
      ymax = ybest + dy;
      dx = dx/2.0;
      dy = dy/2.0;
      System.out.println("next");
      System.out.println("xmin="+xmin+"  xmax="+xmax);
      System.out.println("ymin="+ymin+"  ymax="+ymax);
      System.out.println("dx="+dx+"  dy="+dy);
    
      for(double x=xmin; x<xmax; x=x+dx)
      {
        for(double y=ymin; y<ymax; y=y+dy)
        {
          z = f(x,y);
	  if(z<zbest)
	  {
	    zbest = z;
	    xbest = x;
	    ybest = y;
	    dxbest = dx;
	    dybest = dy;
	    System.out.println("xbest="+xbest);
	    System.out.println("ybest="+ybest);
	    System.out.println("zbest="+zbest);
	    System.out.println("dxbest="+dxbest+"  dybest="+dybest);
	  }
        } // end y
      } // end x
    } // end k
    
    System.out.println(" ");
    System.out.println("final ");
    System.out.println("xbest="+xbest);
    System.out.println("ybest="+ybest);
    System.out.println("zbest="+zbest);
    System.out.println("dxbest="+dxbest+"  dybest="+dybest);
    System.out.println("search2.java finished");
  }
    
  public static void main(String[] args)
  {
    new search2();
  } // end main
} // end class search2