# converting atan2 output to 360 deg

163 views (last 30 days)
shobhit mehrotra on 13 Apr 2015
Commented: Stephen23 on 13 Apr 2024
Hi, I'm using the function atan2, however my output is from -180 to 180 degrees (I converted from radians) How do I modify it such that it outputs a value from 0-360 degrees?
winddir = (atan2(Vi,Ui))*(180/pi);
Image Analyst on 13 Apr 2015
There is an atan2d() function you know. All the functions have "d" versions that work in degrees instead of radians. Though it goes from -180 to +180.

John D'Errico on 14 Apr 2015
Edited: John D'Errico on 14 Apr 2015
Since it will be periodic, just add 360 if the value is less than 0. This will suffice to correct the negative angles.
winddir = winddir + (winddir < 0)*360;
You can use atan2d if you prefer to work in degrees, but it will map to the same range, [-180,180], so you will still need to correct for the negative angles.
If you wanted a simple expression that works in one line of code, this should do:
winddir = atan2d(Vi,Ui) + 360*(Vi<0);
shobhit mehrotra on 14 Apr 2015
most excellent thank you!

Stephen23 on 30 May 2022
Edited: Stephen23 on 30 May 2022
The simple, robust, and efficient solution is to use MOD:
mod(atan2d(Y,X),360)
Sam Ruegsegger on 12 Apr 2024
Stephen23,
I am writing to you to thank you for your robust and simple solution. In the midst of a mehatronics lab, trial after trial went by, and my team still could not find a working solution. Despair was creeping in. And then we met you. Your solution has given us a bulwark against the demons of MATLAB. You may have written this 2 years ago, but your legacy lives on in the MathWorks chat room.
Godspeed, brother.
Stephen23 on 13 Apr 2024
@Sam Ruegsegger: you can also vote for answers that helped you. It is an easy way to show your appreciation.

theodore panagos on 7 Nov 2018
You can use the formula:
atan(x,y)=180/pi()*(pi()-p()/2*(1+sign(x))*(1-sign(y^2))-pi()/4*(2+sign(x))*sign(y)
-sign(x*y)*atan((abs(x)-abs(y))/(abs(x)+abs(y))))
That formula give the angle from 0 to 360 degrees for any value of x and y.
x=x2-x1 and y=y2-y1
For x=y=0 the result is undefined.
theodore panagos on 7 Nov 2018
In the formula put pi()/2 instead p()/2
Nicolas soto vallejos on 30 May 2022
Have to say this formula is awsome if you only need to know what quarternal direction the vector is traveling in you could just use the first part. sure only returns in 45 deg but it makes it easier to work with and ofcourse you could allways use the entire thing if you need exact angles but i'm amazed at the brillians of this formula 10/10!