How to determine whether V3 is between V1 and V2 when we go from V1 to V2 counterclockwise?

Question

I have three vectors V1, V2, and V3. Their origin points are on the axes\' origin. How could I determine whether V3 is between V1 and V2 when I move around counterclockwise

Answer 1

Somewhat easier method for most other programing languages.

If V1, V2 and V3 are given vectors, and we need to decide weather V3 is between V1 and V2, and Ri = atan2(Vi) (which returns an angle in radians from -pi to pi):

Clockwise:

R1 -= R3;
R2 -= R3;

if (R1 < 0) R1 += 2 * PI;
if (R2 <= 0) R2 += 2 * PI;

return (r1 < r2);

For counterclockwise, just swap R1 and R2.