/// <summary>
/// 直交座標上の位置から球面座標上の位置を求めます。
/// </summary>
/// <param name="cartesian">直交座標上の位置</param>
/// <returns>球面座標上の位置</returns>
public static SphericalVector3 GetSphericalPositionFromCartesianCoord(Vector3 cartesian)
{
var radius = Mathf.Sqrt((cartesian.x * cartesian.x) + (cartesian.y * cartesian.y) + (cartesian.z * cartesian.z));
var phi = Mathf.Asin(cartesian.y / radius);
var theta = Mathf.Atan2(cartesian.x, cartesian.z);
var spherical = new SphericalVector3();
spherical.phi = phi;
spherical.theta = theta;
spherical.radius = radius;
return(spherical);
}
/// <summary>
/// 球面座標上の位置から直交座標上の位置を求めます。
/// </summary>
/// <param name="phi">方位角</param>
/// <param name="theta">仰角</param>
/// <param name="radius">半径</param>
/// <returns>直交座標上の位置</returns>
public static Vector3 GetPositionFromSphericalCoord(SphericalVector3 sperical)
{
var pos = Vector3.zero;
var radius = sperical.radius;
var phi = sperical.phi;
var theta = sperical.theta;
// 球面座標系変換
pos.x = radius * Mathf.Cos(phi) * Mathf.Sin(theta);
pos.y = radius * Mathf.Sin(phi);
pos.z = radius * Mathf.Cos(phi) * Mathf.Cos(theta);
return(pos);
}