What is the proper notation for angle wrapping in a mathematical function?

[billiards]

Hi I am looking for the proper notation to represent angle wrapping in a mathematical function.

For example if I have a function of the form:

y=exp(θ)

(and θ is an angle in degrees.)

How do I write this function to explicitly assert that: -180 ≤ θ < 180 ?

So that for example if one had an angle of numerical value 190, then θ = -170.

 

[arildno]

Take your number A, divide it by 360. If the new number's absolute value is less than or equal to 1/2, keep the number A. Otherwise, subtract 360 from A if it's positive, add 360 if A is negative. Then repeat process with division by 360.

 

[billiards]

Sure. To be clear though, I'm not looking for the numerical recipe. I'm looking for the notation. How would one write this in a formula?

i.e.

$y = exp(\theta)$

would be written like how, something like this? :

$y = exp([\theta]^{180}_{-180})$ ?

 

[arildno]

Well, it would be a simple application of what is called the modulo operation, isn't it? essentially, you wish to find the remainder, after dividing with 180 or 360
https://en.wikipedia.org/wiki/Modulo_operation

 

[Office_Shredder]

I would just state explicitly as a sentence "for angles between -180 and 180, define y as..."