How to convert cartesian coordinates to polar coordinates in JS?

Question

I need to know angle of rotation in polar coordinates using X and Y from cartesian coordinates.

How to do it in JS without a lot of IF statements? I know that I can do it using ,

but I think that it will be bad for performance, because it is in animation cycle.

Answer 1

Javascript comes with a built in function that does what is represented in the image: Math.atan2()

Math.atan2() takes y, x as arguments and returns the angle in radians.

For example:

x = 3
y = 4    
Math.atan2(y, x) //Notice that y is first!

//returns 0.92729521... radians, which is 53.1301... degrees

I wrote this function to convert from Cartesian Coordinates to Polar Coordinates, returning the distance and the angle (in radians):

function cartesian2Polar(x, y){
    distance = Math.sqrt(x*x + y*y)
    radians = Math.atan2(y,x) //This takes y first
    polarCoor = { distance:distance, radians:radians }
    return polarCoor
}

You can use it like this to get the angle in radians:

cartesian2Polar(5,5).radians

Lastly, if you need degrees, you can convert radians to degrees like this

degrees = radians * (180/Math.PI)