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| 02.22.2008 at 08:57AM PST, ID: 23185046 |
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2D Math question - relative position by rotating the axis
I have two characters in a 3D world. They have an X/Y/Z coord, and a rotation. The world is defined as follows:
X is in the direction to the "right"
Y is in the direction "up"
Z is in the direction "forwards"
Yaw is rotation about the Y axis. So rotation is in the XZ plane. 0 rotation means the player travels in the positive Z direction. A positive value is a rotation counterclockwize in the XZ plane. See my diagram.
Because the characters only ever have a yaw rotation, we can effectively show my 3D world as an overhead view of the X/Z plane. I don't want to overcomplicate things.
Now, I need to calculate the enemy's position relative to the player. Taking into account the player's current rotation. FMOD uses a different coordinate system (but this is really just naming conventions). FMOD's coordinate system is like this:
+X as right
+Y as up
+Z as forwards.
So... I need to do some kind of axis rotation here. I'm not sure how to go about doing it. Can anyone help?
I'm fairly advanced in Math. I know trig/matrices/vectors/line
Please look at my diagram it makes my question so much easier to understand.
