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

/**This class specifies some basic kinds of point configurations.  It is not
   used in the proof.*/

public class Configuration  {

    /**This is the preferred normalization of the triangular bipyramid*/

    public static Complex[] configuration1() {	
	Complex[] W=new Complex[4];
	W[0]=new Complex(1,0);      	
                  W[1]=new Complex(-.5,-Math.sqrt(3.0)/2.0); 
                  W[2]=new Complex(0,0);
	W[3]=new Complex(-.5,Math.sqrt(3.0)/2.0);
	return(W);
    }

    /**This is the other  normalization of the triangular bipyramid*/

    public static Complex[] configuration2() {	
                 Complex[] W=new Complex[4];	
                  W[0]=new Complex(1,0);		
                  W[1]=new Complex(0,-Math.sqrt(1.0/3.0));
                  W[2]=new Complex(-1,0);	
	W[3]=new Complex(0,Math.sqrt(1.0/3.0));
                  return(W);
    }

    /*This is the initial pyramid with-square-base*/


    public static Complex[] configuration3() {	
                 Complex[] W=new Complex[4];	
                  W[0]=new Complex(1,0);		
                  W[1]=new Complex(0,1);
                  W[2]=new Complex(-1,0);	
	W[3]=new Complex(0,-1);
                  return(W);
    }


    /**random configuration**/
    public static Complex[] randomPoints() {

	Complex[] Z=new Complex[4];
	for(int i=0;i<4;++i) {
	    double x=Math.random();
	    double y=Math.random();
	    double xx=x*(-2)+(1-x)*2;
	    double yy=y*(-2)+(1-y)*2;
	    Z[i]=new Complex(xx,yy);
	}

	Z[0]=new Complex(1+Math.random(),0);
	return(Z);
    }



    /**Stereo-Inverted Configuration**/

    public static Complex[] stereoInverted(Complex[] Z) {

	Vector[] V=new Vector[5];
	for(int i=0;i<4;++i) {
	    V[i]=Stereo.inverseStereo(Z[i]);
	}
	V[4]=new Vector(0,0,1);

	Vector[] W=new Vector[5];
	for(int i=0;i<5;++i) W[i]=XtraVector.swap(V[0],V[4],V[i]);

	W[0]=new Vector(W[4].x[0],W[4].x[1],W[4].x[2]);

	Complex[] ZZ=new Complex[4];
	for(int i=0;i<4;++i) ZZ[i]=Stereo.stereo(W[i]);

	return(ZZ);
    }






    /**dyadic configuration**/

    public static Complex[] dyadic(Complex[] Z,int[] size) {
	    Complex[] W=new Complex[4];
                       Box B=new Box();
	     Complex zz=Complex.plus(Z[0],new Complex(.0000001,0));

	     B=XtraBox.dyadic1(zz,size[0]);   
                      W[0]=new Complex(B.z);  
                      W[0].y=0;

	    for(int i=1;i<4;++i) {
	         B=XtraBox.dyadic0(Z[i],size[i]);
	         W[i]=new Complex(B.z);
	    }

	    return(W);
    }


    /**The color scheme**/

    public static Color[] colors() {
	Color[] C={new Color(255,255,0),new Color(255,0,255),new Color(200,0,0),new Color(240,130,0)};
	return(C);
    }

}