Hi everyone, I have a rather simple question for you.. I feel like I should have found the answer a long time ago but somehow I can't wrap my head around this trivial problem.
Given a vector v = (x,y) , I would like to know it's 'general' orientation. That is either 'Up', 'Down', 'Left' or 'Right'
A vector's general orientation is 'Up' if a Vector's orientation is between 45 and 135 degrees. 'Left' is between 135 and 225 degrees. 'Down' is between 225 and 315 degrees. 'Right' is between 315 and 45 degrees.
I don't really care for the cases where the angle is exactly 45, 135, 225 or 315 degrees.
The catch is, I don't want to use trigonometry. I'm pretty sure there's a simple solution.
I think a solution could split the whole circle in eight. Here's what I have so far.
if(x > 0 && y > x)
return Up
if(x > 0 && y > 0 && y < x )
return Right
... etc ...
Basically, I know I could find a solution. I'm more interested in your own approach to this problem.
Thanks !
EDIT : The vector used is not normalized. You can represent any vector using a pair of points. Simply pretend the origin of the vector is (0,0).