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That is NOT how William is using the modulus function in the example in his link. He is using modulus for the range max calculation, not against the random number generator itself.
EDIT: Correction ... Actually he is using the modulus function against the generator, but only after the filter (aka the while loop).
Fernando Carreiro #: Assuming a uniformly distributed random number generator, then the modulus alternative will also be uniformly distributed.
If you had looked at the link provided, the code handles the fact that 32767 is not a multiple of 1000 and gives a uniformly distributed result using modulo.