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I hate unity coordinate system

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Nick 2022-06-23 18:26:53 -04:00
parent 4c75f15cc1
commit a577bbdae2
1 changed files with 13 additions and 18 deletions
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31
NewHorizons/Utility/CoordinateUtilities.cs
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@ -7,43 +7,38 @@ namespace NewHorizons.Utility
// Using the phi and theta convention used on https://mathworld.wolfram.com/SphericalCoordinates.html (Mathematics not physics convention) // Using the phi and theta convention used on https://mathworld.wolfram.com/SphericalCoordinates.html (Mathematics not physics convention)
public static Vector3 CartesianToSpherical(Vector3 v) public static Vector3 CartesianToSpherical(Vector3 v)
{ {
float dist = Mathf.Sqrt(v.x * v.x + v.y * v.y + v.z * v.z); // y is up in unity
var x = v.y;
var y = v.z;
var z = v.x;
float dist = Mathf.Sqrt(x * x + y * y + z * z);
// theta // theta
float longitude = 180f; float longitude = 180f;
if (v.x > 0) longitude = Mathf.Rad2Deg * Mathf.Atan(v.y / v.x); if (x > 0) longitude = Mathf.Rad2Deg * Mathf.Atan(y / x);
if (v.x < 0) longitude = Mathf.Rad2Deg * (Mathf.Atan(v.y / v.x) + Mathf.PI); if (x < 0) longitude = Mathf.Rad2Deg * (Mathf.Atan(y / x) + Mathf.PI);
// phi // phi
float latitude = (Mathf.Rad2Deg * Mathf.Acos(v.z / dist)); float latitude = (Mathf.Rad2Deg * Mathf.Acos(z / dist));
return new Vector3(longitude, latitude, dist); return new Vector3(longitude, latitude, dist);
} }
public static Vector3 CartesianToSpherical(float x, float y, float z)
{
return CartesianToSpherical(new Vector3(x, y, z));
}
public static Vector3 SphericalToCartesian(Vector3 v) public static Vector3 SphericalToCartesian(Vector3 v)
{ {
var longitude = v.x; var longitude = v.x;
var latitude = v.y; var latitude = v.y;
var r = v.z; var r = v.z;
return SphericalToCartesian(longitude, latitude, r);
}
public static Vector3 SphericalToCartesian(float longitude, float latitude, float radius)
{
var theta = Mathf.Deg2Rad * longitude; var theta = Mathf.Deg2Rad * longitude;
var phi = Mathf.Deg2Rad * latitude; var phi = Mathf.Deg2Rad * latitude;
var x = radius * Mathf.Cos(theta) * Mathf.Sin(phi); var x = r * Mathf.Cos(theta) * Mathf.Sin(phi);
var y = radius * Mathf.Sin(theta) * Mathf.Sin(phi); var y = r * Mathf.Sin(theta) * Mathf.Sin(phi);
var z = radius * Mathf.Cos(phi); var z = r * Mathf.Cos(phi);
return new Vector3(x, y, z); return new Vector3(z, x, y);
} }
} }
} }