I'm currently working with files that I have no control over, which define 3D cubes with 5 vectors, one for the center position, one for the half-size, and 3 vectors that somehow make up the rotation. I'm struggling with figuring out how to turn these 3 vectors into 3 angles, that I can easily use in my rendering engine.
For example, I might have the following vectors:
Position
X: -655.48, Y: 477.02, Z: -3.30
Size
X: 435.57, Y: 29.79, Z: 138.53
Rotation
X: 0.91, Y: -0.41, Z: 0.00
X: 0.41, Y: 0.91, Z: 0.00
X: 0.00, Y: 0.00, Z: 1.00
With the position and the size (times two) I can easily create a cube, but the rotation is missing. Since I know what the box is supposed to look like, I know that the rotation angles of the cube are supposed to be 0°, 0°, and about -24°, 156°, or 336°, depending on how you rotate it. Unfortunately, I don't know how to turn one into the other.
Figuring out what to even search for to solve this has been challenging, since I don't know what exactly I'm look at. I assume that I have to take these values in some combination and calculate the angles for each axis, possibly using atan2? But I'm out of my depth here.
For another example, here's a cube that doesn't rotate.
X: 1.00, Y: 0.00, Z: 0.00
X: 0.00, Y: 1.00, Z: 0.00
X: 0.00, Y: 0.00, Z: 1.00
I'd appreciate any help in deciphering this.
Update: I realize my explanation about the expected angles was poorly formulated, so here's a quick addendum.
By angles, I mean 3 angles in degree, for rotations around X, Y, and Z. I'm currently testing this in the Unity engine, where I can easily create a box with a given size around a center point, and my specific example was about one such box, that would require the angles X: 0°, Y: 0°, and Z: -24°, for it to appear as I know that it should appear. These values came from me trying to simply put the cube into the rotation I need.
What these rotation values actually represent, by my current understanding, are directions on all 3 axis, which describe the directions the 8 edge points of the cube are in. You could technically create something that isn't a cube, because this format allows for slanted sides, but it's never used that way in the files I'm working with.
