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I want to write a normalization function that will take a signed integer and normalize it to a double between -1 to +1. Is there a special name for this type of function, or is Normalize() what people normally call it?

Also, is there a native iPhone function that does this?

A: 

It is indeed called normalization. There's no function needed for it since all that's required is to scale it by the maximum and clip it to the range.

Ignacio Vazquez-Abrams