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Question by Melnikovv · Nov 21, 2020 at 07:31 AM · rotationmathmatrix

Find direction on a sphere?

I want objects to rotate around the point in space. Imagine how the vertices move when you rotate a sphere mesh. They rotate using a matrix. I tried to do the same way and it works but super slow. For 40 objects in FixedUpdated it destroys my FPS on mobile.

Is there a faster way to get a direction on a sphere?


Img: red vectors - point direction, green dir - sphereMovementDir alt text

     /// <summary>
     /// 
     /// </summary>
     /// <param name="sphereMovementDir">direction the sphere moves in space</param>
     /// <param name="sphereCenter">sphere center in world coordinates</param>
     /// <param name="point">point on a sphere in world coordinates</param>
     /// <returns></returns>
     public Vector3 GetDirOnASphere(Vector3 sphereMovementDir, Vector3 sphereCenter, Vector3 point)
     {
         //transform sphereMovementDir to the rotation direction. Like a rotation of roll
         Quaternion lookRot = Quaternion.Euler(sphereMovementDir.z, 0f, -sphereMovementDir.x);
         
         //matrix that rotate smth using lookRot
         Matrix4x4 m = Matrix4x4.Rotate(lookRot);
         
         //calculate a new position for point after we applied rotation matrix
         Vector3 newPointPos = sphereCenter + m.MultiplyPoint3x4(point - sphereCenter);
         
         //get direction of movement on a point of a sphere
         Vector3 forceDir = (newPointPos - point).normalized;
 
         //return the dir so then I can apply it to the point...velocity
         return forceDir;
     }

screenshot-2020-11-21-102407.png (28.0 kB)
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Answer by Melnikovv · Nov 21, 2020 at 01:49 PM

I have found the mistake. I should compile a matrix out of the method and pass it as an argument. Because for each vertex rotation matrix is the same and no need to calculate it in the method

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