return any angle to (0 to 2pi) range

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Osama Alkurdi
Osama Alkurdi am 18 Feb. 2020
Kommentiert: James Tursa am 19 Feb. 2020
I have a cetain angle let us say x
and I want matlab to change x to become within 0 and 2pi range
example: if x=3pi
then the new value of x have to be pi

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James Tursa
James Tursa am 18 Feb. 2020
Bearbeitet: James Tursa am 18 Feb. 2020
The short answer:
mod(x,2*pi)
The long answer for this particular mod operation, is that if you want to get the same answer for trig calculations for large inputs that MATLAB does, you need to do the mod differently:
atan2(sin(x),cos(x)); % effectively mod(x,2*pi)
E.g.,
>> x = 10
x =
10
>> y = mod(x,2*pi)
y =
3.716814692820414
>> sin(x)
ans =
-0.544021110889370
>> sin(y)
ans =
-0.544021110889370
>> x = 1e25
x =
1.000000000000000e+25
>> y = mod(x,2*pi)
y =
0
>> sin(x)
ans =
-0.305257800135130
>> sin(y)
ans =
0
>> z = atan2(sin(x),cos(x))
z =
-0.310209139287907
>> sin(z)
ans =
-0.305257800135130
Using the atan2( ) approach to doing the mod(x,2*pi) operation results in effectively the same angle that MATLAB uses for the trig operations.
  2 Kommentare
Osama Alkurdi
Osama Alkurdi am 18 Feb. 2020
how is the remain of the division of 2pi is what I was looking for?
can you explain it?
please!
James Tursa
James Tursa am 19 Feb. 2020
I don't understand your question. The remainder of the division is the result of the mod operation.

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