Determine if angle lies between 2 other angles

Question

I am trying to figure out whether a angle lies between 2 other angles. I have been trying to create a simple function to perform this but none of my techniques will work for

Answer 1

If you have angles $$a$ and $b$, and wan't to see if angle x is between these angles.

You can calculate the angle between a->x and a->b. If ∠a->x is less than ∠a->b, x must be between a and b.

The distance between to angles, a and b

function distanceBetweenAngles(a, b) {
    distance = b - a;
    if (a > b) {
       distance += 2*pi;
    }
    return distance;
}

Then you can do

// Checks if angle 'x' is between angle 'a' and 'b'
function isAngleBetween(x, a, b) {
    return distanceBetweenAngles(a, b) >= distanceBetweenAngles(a, x);
}

This assumes you are using Radians, and not Degrees, as one should. It removes a lot of unnecessary code.