Examples of ca.eandb.jmist.math.Polynomial.roots()

ca.eandb.jmist.math.Polynomial.roots()
Computes the real roots of this polynomial. @return An array containing the real roots of this polynomial.

    Polynomial f = new Polynomial(
        x0 * x0 - y0 * y0 + z0 * z0,
        2.0 * (x0 * x1 - y0 * y1 + z0 * z1),
        x1 * x1 - y1 * y1 + z1 * z1);


    double[] t = f.roots();


    if (t.length == 2) {
      for (int i = 0; i < 2; i++) {
        if (recorder.interval().contains(t[i])) {
          Point3 p = ray.pointAt(t[i]);

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    Polynomial f = new Polynomial(
        x0 * x0 - y0 * y0 + z0 * z0,
        2.0 * (x0 * x1 - y0 * y1 + z0 * z1),
        x1 * x1 - y1 * y1 + z1 * z1);


    double[] t = f.roots();


    if (t.length == 2) {
      for (int i = 0; i < 2; i++) {
        if (recorder.interval().contains(t[i])) {
          Point3 p = ray.pointAt(t[i]);

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              2.0 * s2NormOfDir * (s2NormOfOrig - (sqRadius1 + sqRadius2)) + 4.0 * ((dirDotOrig * dirDotOrig) + sqRadius1 * dir.y() * dir.y()),
              4.0 * dirDotOrig * s2NormOfDir,
              s2NormOfDir * s2NormOfDir
          );


    double[]  x = f.roots();


    if (x.length > 1)
    {
      Arrays.sort(x);
      for (int i = 0; i < x.length; i++)

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    Polynomial  f    = new Polynomial(
                orig.x() * orig.x() + orig.z() * orig.z() - this.radius * this.radius,
                2.0 * (orig.x() * dir.x() + orig.z() * dir.z()),
                dir.x() * dir.x() + dir.z() * dir.z()
              );
    double[]  x    = f.roots();


    if (x.length == 2)
    {
      // for each solution, make sure the point lies between the base and the apex
      p = ray.pointAt(x[0]);

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