toSpherical method

List<double> toSpherical()

Converts the Vector from Cartesian to Spherical coordinates.

Returns a list of doubles r, theta, phi where:

• r is the radius (distance from origin)
• theta is the inclination (angle from the z-axis, in range 0, pi)
• phi is the azimuth (angle from the x-axis in the xy-plane, in range 0, 2*pi)

Example:

Vector v = Vector.fromList([1, 1, 1]);
print(v.toSpherical());
// Output: [1.7320508075688772, 0.9553166181245093, 0.7853981633974483]

Implementation

List<double> toSpherical() {
  if (length != 3) {
    throw Exception(
        "Vector must be 3D for conversion to Spherical coordinates");
  }
  double x = _data[0].toDouble();
  double y = _data[1].toDouble();
  double z = _data[2].toDouble();
  double r = math.sqrt(x * x + y * y + z * z);
  double theta = math.acos(z / r);
  double phi = math.atan2(y, x);
  return [r, theta, phi];
}