class AccelerateDecelerateInterpolator : public Interpolator {
  public:
    int type = Interpolator::TYPE_ACCELERATE_DECELERATE;

    float a = 0.5;
    float b = 2;

    virtual float calculate(double time) { 
      return cos((time + 1) * 3.14)/b + a; 
    }
};

class CycleInterpolator : public Interpolator {
  public:
    int type = Interpolator::TYPE_CYCLE;

    float c = 2;

    virtual float calculate(double time) { 
      return sin(c * 3.14 * time); 
    }
};

class OvershootingInterpolator : public Interpolator {
  public:
    int type = Interpolator::TYPE_CYCLE;

    float c = 0.5;

    virtual float calculate(double time) { 
      return (c + 1) * pow(time - 1, 3) + c * pow(time - 1, 2) + 1; 
    }
};