Method split

packages/2d/src/lib/curves/Polynomial.ts:153–170

* Split the polynomial into two polynomials of the same overall shape. * * @param u - The point at which to split the polynomial.

(u: number)

   * @param u - The point at which to split the polynomial.
   */
  public split(u: number): [Polynomial, Polynomial] {
    const d = 1 - u;

    const pre = new Polynomial(
      this.c0,
      this.c1 * u,
      this.c2 * u * u,
      this.c3 * u * u * u,
    );
    const post = new Polynomial(
      this.eval(0),
      d * this.differentiate(1).eval(u),
      ((d * d) / 2) * this.differentiate(2).eval(u),
      ((d * d * d) / 6) * this.differentiate(3).eval(u),
    );

    return [pre, post];
  }

  /**
   * Calculate the roots (values where this polynomial = 0).