class CubicBezier
{
  pt p0 = new pt(0,0);
  pt p1 = new pt(0,0);
  pt p2 = new pt(0,0);
  pt p3 = new pt(0,0);
  
  CubicBezier()
  {
    p0.setTo(new pt(0,0));
    p1.setTo(new pt(0,0));
    p2.setTo(new pt(0,0));
    p3.setTo(new pt(0,0));
  }
  
  CubicBezier(pt _p0, pt _p1, pt _p2, pt _p3)
  {
    p0.setTo(_p0);
    p1.setTo(_p1);
    p2.setTo(_p2);
    p3.setTo(_p3);
  }
  
  CubicBezier make()
  {
    return new CubicBezier(p0, p1, p2, p3);
  }
  
  pt evaluate(float t)
  {
    float x = (1-t) * (1-t) * (1-t) * p0.x +
              3 * t * (1-t) * (1-t) * p1.x +
              3 * t * t * (1-t) * p2.x +
              t * t * t * p3.x;
    float y = (1-t) * (1-t) * (1-t) * p0.y +
              3 * t * (1-t) * (1-t) * p1.y +
              3 * t * t * (1-t) * p2.y +
              t * t * t * p3.y;
    return new pt(x,y);
  }
  
/*  QuadraticBezier derivate()
  {
    pt q0 = p1;
    q0.subPt(p0);
    q0.mul(3);
    
    pt q1 = p2;
    q1.subPt(p1);
    q1.mul(3);
    
    pt q2 = p3;
    q2.subPt(p2);
    q2.mul(3);
    
    return new QuadraticBezier(q0, q1, q2); 
  }*/
}

/*class QuadraticBezier
{
  pt q0 = new pt(0,0);
  pt q1 = new pt(0,0);
  pt q2 = new pt(0,0);
  
  QuadraticBezier(pt _q0, pt _q1, pt _q2)
  {
    q0.setTo(_q0);
    q1.setTo(_q1);
    q2.setTo(_q2);
  }
  
  pt evaluate(float t)
  {
    float x = (1-t) * (1-t) * q0.x +
              2 * t * (1-t) * q1.x +
              t * t * q2.x;
    float y = (1-t) * (1-t) * q0.y +
              2 * t * (1-t) * q1.y +
              t * t * q2.y;
    return new pt(x,y);
  }
}*/