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Determining whether an angle is between two other angles

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Matthes Müller
Matthes Müller 2018-9-17
评论： Matthes Müller 2018-9-18
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?

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回答（1 个）

Adam
Adam 2018-9-17
RayCat = sign( az_ray - mod( gamma1, 360 ) ) == sign( mod( gamma2, 360 ) - az_ray );
looks like it would do the job.
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Adam
Adam 2018-9-17
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?

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