import java.io.*;

class bezierellipse {
  /*
   *  16.11.2002 Urs Oswald osurs@bluewin.ch
   *  erzeugt Datei "ellipse.tex" 
   *  ueberschreibt allanfalls vorhandene Datei dieses Namens
   *  Ellipse wird aus 8 quadratischen Bezierkurven zusammengesetzt
   *  Gebrauch: java bezierellipse [u [v [a [b [phi]]]]]
   */
  static double[] uvabp  = new double[5];
  static double[] xx     = new double[16]; 
  static double[] yy     = new double[16]; 
  static double   sc45   = .5f * Math.sqrt(2);  
  static{                                         // Einheitskreis
    uvabp[0] = 0.0;                               // u = 0
    uvabp[1] = 0.0;                               // v = 0
    uvabp[2] = 1.0;                               // a = 1
    uvabp[3] = 1.0;                               // b = 1
    uvabp[4] = 0.0;                               // phi = 0
  }

  public static void main(String[] args) {  
    /*
     *  args[0], args[1]:  Mittelpunkt (u, v)
     *  args[2], args[3]:  Halbachsen  a, b
     *  args[4]:           Rotationswinkel phi in Grad
     *
     */
    double[] xy;
    for(int i=0;i<5;i++)                          // Aufgrund des Arguments aendern:
      if(args.length > i)                         // Mittelpunkt (u,v)
	uvabp[i] = Double.parseDouble(args[i]);   // Halbachsen  a, b und Rotation p
	
    String str = "% Ellipse:";
    str += "  u = " + uvabp[0];
    str += "  v = " + uvabp[1];
    str += "  a = " + uvabp[2];
    str += "  b = " + uvabp[3];
    str += "  phi = " + uvabp[4] + " Grad";
	
    uvabp[4] = Math.PI*uvabp[4]/180;              // Rotationswinkel in Radian    
    xx[0] = 1; yy[0] = 0;                         // P0	
    xx[1] = 1; yy[1] = Math.sqrt(2) - 1;          // P1
    
    for(int i=1;i<8;i++) {                        // Berechnung der Punkte P2,...,P15
      double phi = i * Math.PI / 4;               // des Einheitskreises
      xy = rotate(xx[0], yy[0], phi);
      xx[2*i] = xy[0]; yy[2*i] = xy[1];            
      xy = rotate(xx[1], yy[1], phi);
      xx[2*i+1] = xy[0]; yy[2*i+1] = xy[1];      
    }    
    for(int i=0;i<16;i++) {                       // Streckung, Rotation, Verschiebung
      xx[i] = xx[i] * uvabp[2];                   // x-Streckung
      yy[i] = yy[i] * uvabp[3];                   // y-Streckung
      xy = rotate(xx[i], yy[i], uvabp[4]);        // Rotation
      xx[i] = xy[0] + uvabp[0];                   // Translation (u, 0)
      yy[i] = xy[1] + uvabp[1];                   // Translation (0, v)
    }      
    for(int i=0;i<15;i+=2)
      str+="\n\\qbezier"
        +punkt(i)+punkt(i+1)+punkt((i+2)%16);     // Anfuegen der 8 Zeilen      
      File outfile = new File("ellipse.tex");      
      try {
	outfile.createNewFile();                  // in "ellipse.tex" schreiben
	FileWriter out = 
	  new FileWriter(outfile.getPath(), false);
	out.write(str);                           
	out.close();
      } 
      catch(IOException e) {
      }
  } 
     
  static double[] rotate(double x, double y, double phi) {
    /*
     *  phi im Bogenmass
     */
    double[] xy = new double[2];    
    xy[0] = x * Math.cos(phi) - y * Math.sin(phi);
    xy[1] = x * Math.sin(phi) + y * Math.cos(phi);    
    return xy;
  }    
  static String runde(double t) {
    String s = "";
    int T = (int)(Math.round(10000 * t));
    double d = T/10000.0;
    s = String.valueOf(d);
    return s;
  }  
  static String punkt(int i) {
    String s;
    s="(" + runde(xx[i]) + ", " + runde(yy[i]) + ")";
    return s;
  }       
}