How to wrap angle in radians to [-pi/2 pi/2]?

E
EllaM · Jan 15, 2022 · 2.7K views
Question
I want to limit an angle in radians to be between -pi/2 and pi/2. I have tried to modify the function wrapToPi, but it does not give me the desired result. Here is my attempt:     function lambda = wrapToHalfPi(lambda) q = (lambda < -pi/2) | (pi/2 < lambda); lambda(q) = wrapTo2Pi(lambda(q) + 3*pi/2) - 3*pi/2;  
Expert Answer
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John Williams PhD Expert
Answered Aug 17, 2026

Not quite the same, because this gives [-pi/2,pi/2), but it might be interesting for you nonetheless:

 

 out = mod(lambda+pi/2,pi)-pi/2

To get the range [-pi/2,pi/2], something like this:

 tmp = mod(lambda+pi/2,pi);
 out = tmp+pi*(lambda>0&tmp==0)-pi/2

 

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