hilbert3D static method

dynamic hilbert3D(dynamic center, dynamic size, dynamic iterations, dynamic v0, dynamic v1, dynamic v2, dynamic v3, dynamic v4, dynamic v5, dynamic v6, dynamic v7,)

Generates 3D-Coordinates in a very fast way.

Based on work by: @link http://www.openprocessing.org/visuals/?visualID=15599

@param center Center of Hilbert curve. @param size Total width of Hilbert curve. @param iterations Number of subdivisions. @param v0 Corner index -X, +Y, -Z. @param v1 Corner index -X, +Y, +Z. @param v2 Corner index -X, -Y, +Z. @param v3 Corner index -X, -Y, -Z. @param v4 Corner index +X, -Y, -Z. @param v5 Corner index +X, -Y, +Z. @param v6 Corner index +X, +Y, +Z. @param v7 Corner index +X, +Y, -Z.

Implementation

static hilbert3D(center, size, iterations, v0, v1, v2, v3, v4, v5, v6, v7) {
  // Default Vars
  center = center ?? Vector3(0, 0, 0);
  size = size ?? 10;

  var half = size / 2;
  iterations = iterations ?? 1;
  v0 = v0 ?? 0;
  v1 = v1 ?? 1;
  v2 = v2 ?? 2;
  v3 = v3 ?? 3;
  v4 = v4 ?? 4;
  v5 = v5 ?? 5;
  v6 = v6 ?? 6;
  v7 = v7 ?? 7;

  var vecS = [
    Vector3(center.x - half, center.y + half, center.z - half),
    Vector3(center.x - half, center.y + half, center.z + half),
    Vector3(center.x - half, center.y - half, center.z + half),
    Vector3(center.x - half, center.y - half, center.z - half),
    Vector3(center.x + half, center.y - half, center.z - half),
    Vector3(center.x + half, center.y - half, center.z + half),
    Vector3(center.x + half, center.y + half, center.z + half),
    Vector3(center.x + half, center.y + half, center.z - half)
  ];

  var vec = [vecS[v0], vecS[v1], vecS[v2], vecS[v3], vecS[v4], vecS[v5], vecS[v6], vecS[v7]];

  // Recurse iterations
  if (--iterations >= 0) {
    var tmp = [];

    tmp.addAll(GeometryUtils.hilbert3D(vec[0], half, iterations, v0, v3, v4, v7, v6, v5, v2, v1));
    tmp.addAll(GeometryUtils.hilbert3D(vec[1], half, iterations, v0, v7, v6, v1, v2, v5, v4, v3));
    tmp.addAll(GeometryUtils.hilbert3D(vec[2], half, iterations, v0, v7, v6, v1, v2, v5, v4, v3));
    tmp.addAll(GeometryUtils.hilbert3D(vec[3], half, iterations, v2, v3, v0, v1, v6, v7, v4, v5));
    tmp.addAll(GeometryUtils.hilbert3D(vec[4], half, iterations, v2, v3, v0, v1, v6, v7, v4, v5));
    tmp.addAll(GeometryUtils.hilbert3D(vec[5], half, iterations, v4, v3, v2, v5, v6, v1, v0, v7));
    tmp.addAll(GeometryUtils.hilbert3D(vec[6], half, iterations, v4, v3, v2, v5, v6, v1, v0, v7));
    tmp.addAll(GeometryUtils.hilbert3D(vec[7], half, iterations, v6, v5, v2, v1, v0, v3, v4, v7));

    // Return recursive call
    return tmp;
  }

  // Return complete Hilbert Curve.
  return vec;
}