public override Vector2d GetThirdDerivative(double t)
{
/*
* Maxima:
* s: t * m + n;
* x: a*sqrt(%pi)*fresnel_c(s/(a*sqrt(%pi)));
* y: a*sqrt(%pi)*fresnel_s(s/(a*sqrt(%pi)));
* z: 1;
* result: diff([ x, y, z ], t, 3);
*
* result: [-(m^3*sin((m*t+n)^2 / (2*a^2))) / a^2 - (m^3*(m*t+n)^2*cos((m*t+n)^2 / (2*a^2))) / a^4,
* (m^3*cos((m*t+n)^2 / (2*a^2))) / a^2 - (m^3*(m*t+n)^2*sin((m*t+n)^2 / (2*a^2))) / a^4,
* 0]
*
* m^3*[-(sin((m*t+n)^2 / (2*a^2))) / a^2 - ((m*t+n)^2*cos((m*t+n)^2 / (2*a^2))) / a^4,
* (cos((m*t+n)^2 / (2*a^2))) / a^2 - ((m*t+n)^2*sin((m*t+n)^2 / (2*a^2))) / a^4,
* 0]
*
* m^3*[-(sin(s^2 / (2*a^2))) / a^2 - (s^2*cos(s^2 / (2*a^2))) / a^4,
* (cos(s^2 / (2*a^2))) / a^2 - (s^2*sin(s^2 / (2*a^2))) / a^4,
* 0]
*/
double m = this.ttransform.A;
double m3 = m * m * m;
double dl = this.GetL(t);
Vector2d v = ClothoUtils.DClotho3(dl, this.InvertY, this.A);
v = v.Mul(m3);
return(this.transform.DoTransform(v));
}