Designing a Phone Case CAD

I want to print a custom case for my phone. To ensure a secure fit with my phone, how secure would the case have to be in relation to the phone. Like the phone is 58.22 mm across, would the case inner space have to be 58.23 mm wide? Or would factoring in tolerances make it 58.43 mm wide? Would it change if the material is plastic? Would it change if the material is rubber? How would I ensure it is a secure fit before I send it to be printed? Any way to simulate it?

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A friend did print a phone case...to get good sizes, he started by measure a case of similar material to what he was going to use and adding a few thous. The end result is good, but it could have been slightly smaller.

 
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