Rajan_sust's blog

Pseudorandom number generator.
By Rajan_sust, history, 7 years ago, In English

Question 01:

Is there any technique where generating random number within a range is equiprobable ?

Question 02:

What is the extra advantage of the following method 02,03,04 ?

srand(time(NULL);

//Method 01: general approach

int myrand(int mod){
  return rand()%mod;
}

//Method 02: Taken form red coder submission.

int myrand(int mod) {
    int t = rand() % mod;
    t = (1LL*t*RAND_MAX + rand()) % mod;
    return t;
}

//Method 03: Taken from red coder submission.

int myrand(int mod) {
	return (int) ( (((double) rand() / RAND_MAX) * (mod) ));
}

//Method 04 : Taken from red coder submission.

inline int myrand(int mod) {
	return (((long long )rand() << 15) + rand()) % mod;
}

Updated : Idea from diko.

auto seed = chrono::high_resolution_clock::now().time_since_epoch().count();
std::mt19937 mt(seed);

int myrand(int mod) {
    return mt()%mod;
}
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Comments Comments (4)
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7 years ago, # |
← Rev. 2   Vote: I like it +25 Vote: I do not like it

rand() returns a value between 0 and RAND_MAX. But RAND_MAX can be less than your mod (eg on Codeforces it equals 32767), so Method 1 is wrong. There are two ways to fix it. First one is Method 2. Second one is using mt19937 instead of rand(). (It returns a 32-bit random value). Method 3 is also wrong because it also returns only 32767 different values.

I don't know how to generate it equiprobable, but these methods work almost equiprobable. I recomend using mt19937 because it works faster and more randomly.

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    7 years ago, # ^ |
      Vote: I like it -23 Vote: I do not like it

    Method 3 is also wrong because it also returns only 32767 different values

    It isn't wrong. rand()/RAND_MAX is multiplied by the MOD under consideration, so it gets mapped to the range [0, MOD].

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      7 years ago, # ^ |
      ← Rev. 3   Vote: I like it +23 Vote: I do not like it

      A lot of numbers will never be generated with this function. For example, if mod = 106, this function can generate only , where x is an integer between 0 and 32767. So, this function will never generate 1, 2, 3, 4, ... 29 and many others numbers. So this function isn't a random function in range [0, mod).

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    7 years ago, # ^ |
      Vote: I like it +5 Vote: I do not like it

    Also doing gen()%mod is not preferred you can use std::uniform_int_distribution<>(0,mod-1) dis; dis(gen);

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