Determining whether an angle is between two other angles

I have 3 angles given: gamma1 and gamma2 can attain any value between -360° and 720°, az_ray can attain any value between 0° and 360°.

I would like to check whether az_ray is between those two, and return RayCat(j) = 1 if so. My try would be

if gamma1 < 0
    gamma1 = gamma1+360;
end
if gamma1 > 360
    gamma1 = gamma1-360;
end

if gamma2 < 0
    gamma2 = gamma2+360;
end
if gamma2 > 360
    gamma2 = gamma2-360;
end

if gamma1 < gamma2
    if (gamma1 <= az_ray) && (az_ray <=gamma2)
        RayCat(j) = 1;
    else
        RayCat(j) = 0;
    end
end
if gamma1 > gamma2
  if (gamma2 <= az_ray) && (az_ray <=gamma1)
      RayCat(j) = 1;
  else
      RayCat(j) = 0;
  end
end

However, this usually works fine but fails for negative values, since it switches the "in- and outside" of the gammas. How can I avoid this or is there a smoother option?

Answer 1

[Adam]

RayCat = sign( az_ray - mod( gamma1, 360 ) ) == sign( mod( gamma2, 360 ) - az_ray );

looks like it would do the job.

[Matthes Müller]

Thank you. Unfortunately this does not work for gamma > 360.

[Adam]

It worked for the example I tested it on, but I didn't have time to exhaustively test each edge case. What example does it not work on?

[Matthes Müller]

az_ray = 358; gamma1 = 355; gamma2 = 365

returns

RayCat = 0