Modulo of realmax in matlab

I am getting the same results for the following:

mod(realmax,10^9 + 7) and mod(realmax-10000,10^9 + 7) or subtracting any other number from realmax.

What is the reason for this and how to resolve it?

Answer 1

[Ameer Hamza]

MATLAB double datatype is based on IEEE-754 format: https://en.wikipedia.org/wiki/Double-precision_floating-point_format. This is a finite precision datatype, and you cannot represent all possible integer values accurately in this format.

flintmax

gives the maximum consecutive integer values, which can be accurately represented in this format. Above that, only a few integer values are precisely represented. In your case, realmax-10000 will just round off to realmax since double() data type does not have the precision to represent it.

[Mayank Bajpai]

Thanks. Got it :O

[Ameer Hamza]

I am glad to be of help!