Sine wave with spiral form

I'm trying to deform a mesh to create a sine wave-shaped spiral. As you see in the image, but this way of doing it does not allow me to advance (combining different waves for several attractors points, choose the center of the spiral ...). Maybe you need to modify the definition to see what I mean. The formula is sin(Atan2(x, y) + Distance).

Then I want to control the spirals using various points. My problem is not to use multiple control points, but get the values that deform the mesh in this way. I tried a thousand different ways to modify this formula without success, so maybe is best to try different methods.

Does anyone have a better solution (as mathematical as possible)? 

Thanks in advance.