atan2(0,0) is not undefined (NaN)
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Daven Gooden
on 11 Aug 2020
Commented: hosein Javan
on 11 Aug 2020
I'm using MATLAB R2020a Home Edition on a Windows® machine. I have a need to calculate atan2(0,0) which, if I am correct should result in NaN (undefined). The answer I get is zero. Is this not bug in the underline algorithm for computation of atan2()?
Thank you in advance.
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Accepted Answer
Star Strider
on 11 Aug 2020
The result also isd not completely standardised. See the section in the Wikipedia article on Atan2 on Realizations of the function in common computer languages.
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Star Strider
on 11 Aug 2020
As always, my pleasure!
MATLAB began as a FORTRAN implementation, later switching to C.
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hosein Javan
on 11 Aug 2020
it is not a bug. although in analytic math it is undefined, the trigonometric functions are usually calculated by their taylor series expansion on numerical softwares. no doubt it results zero. however when you try very small values, it is still correct:
atan2(1e-301,1e-301)*180/pi
ans =
45
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