public class RPunkt{
 double x, y, z;
 public RPunkt(double ux, double uy, double uz){
   sea(ux, uy, uz);
 }

 public void sea(double ux, double uy, double uz){
   x=ux; y=uy; z=uz;
 }

 public static RPunkt keera(RPunkt p, double nxz, double nyz, double nxy){
    double vx=p.x;
    double vy=p.y;
    double vz=p.z;
    double ux, uy, uz;
    ux=vx*Math.cos(nxz)-vz*Math.sin(nxz);
    uz=vx*Math.sin(nxz)+vz*Math.cos(nxz);
    vx=ux; vz=uz;

    uy=vy*Math.cos(nyz)-vz*Math.sin(nyz);
    uz=vy*Math.sin(nyz)+vz*Math.cos(nyz);
    vy=uy; vz=uz;

    ux=vx*Math.cos(nxy)-vy*Math.sin(nxy);
    uy=vx*Math.sin(nxy)+vy*Math.cos(nxy);

    return new RPunkt(ux, uy, uz);
 }
 public RPunkt keera(double nxz, double nyz, double nxy){
   return RPunkt.keera(this, nxz, nyz, nxy);
 }
 public RPunkt lahuta(RPunkt up){
   return new RPunkt(x-up.x, y-up.y, z-up.z);
 }
 public RPunkt vastand(){return new RPunkt(-x, -y, -z);}
 public RPunkt liida(RPunkt up){
   return new RPunkt(x+up.x, y+up.y, z+up.z);
 }
 public RPunkt korruta(double tegur){
   return new RPunkt(tegur*x, tegur*y, tegur*z);
 }
 public RPunkt astmesse(int aste){
   return new RPunkt(Math.pow(x, aste), Math.pow(y, aste),
                     Math.pow(z, aste));
 }
 public double pikkus(){
  return Math.sqrt(x*x+y*y+z*z);
 }
 public String toString(){return x+" "+y+" "+z;}
 public RPunkt koopia(){return new RPunkt(x, y, z);}
}