using UnityEngine;
using System.Collections;

public class LMath {
	public static float frac(float value){
		return value - (float)Mathf.FloorToInt(value);
	}
}

public class SphericalCoordinate 
{
	private float polar;
	private float elevation;
	private Vector3 cartesian;

	public float PolarAngle{
		get{ return polar; }
		set{ polar = value; UpdateCartesian(); }
	}

	public float ElevationAngle{
		get{ return elevation; }
		set{ elevation = value; UpdateCartesian(); }
	}

	public Vector3 Cartesian{
		get{ return cartesian; }
		set { UpdateSpherical(value); }
	}

	public SphericalCoordinate(){
		UpdateCartesian();
	}

	private void UpdateCartesian(){
		float a = Mathf.Cos(elevation);
		cartesian.x = a * Mathf.Cos(polar);
		cartesian.y = Mathf.Sin(elevation);
		cartesian.z = a * Mathf.Sin(polar);
	}

	private void UpdateSpherical(Vector3 cartesianCoord){
		if (cartesianCoord.x == 0.0f)
			cartesianCoord.x = Mathf.Epsilon;
		float radius = Mathf.Sqrt((cartesianCoord.x * cartesianCoord.x)
		                          + (cartesianCoord.y * cartesianCoord.y)
		                          + (cartesianCoord.z * cartesianCoord.z));

		polar = Mathf.Atan(cartesianCoord.z / cartesianCoord.x);
		if (cartesianCoord.x < 0.0f)
			polar += Mathf.PI;
		elevation = Mathf.Asin(cartesianCoord.y / radius);
	}

}