Generating a uniform distribution of INTEGERS in C

Question

I\'ve written a C function that I think selects integers from a uniform distribution with range [rangeLow, rangeHigh], inclusive. This isn\

Answer 1

A version which corrects the distribution errors (noted by Lior), involves the high-bits returned by rand() and only uses integer math (if that's desirable):

int uniform_distribution(int rangeLow, int rangeHigh)
{
    int range = rangeHigh - rangeLow + 1; //+1 makes it [rangeLow, rangeHigh], inclusive.
    int copies=RAND_MAX/range; // we can fit n-copies of [0...range-1] into RAND_MAX
    // Use rejection sampling to avoid distribution errors
    int limit=range*copies;    
    int myRand=-1;
    while( myRand<0 || myRand>=limit){
        myRand=rand();   
    }
    return myRand/copies+rangeLow;    // note that this involves the high-bits
}

//note: make sure rand() was already initialized using srand()

This should work well provided that range is much smaller than RAND_MAX, otherwise you'll be back to the problem that rand() isn't a good random number generator in terms of its low-bits.