Normal(Gaussian) Distribution Function in C++ - c++

I need to know a way to have the Gaussian Distribution of 50 numbers. I know of the Boost library, which generates random numbers. In my case, I don't need random numbers; I need the normal distribution of 50 numbers.
How do I do this in C++?

As of C++11 there is a normal (gaussian) distribution available in the standard library:
http://www.cplusplus.com/reference/random/normal_distribution/
The mean value and standard deviation are passed as arguments when creating it. The link above provides a good example:
// normal_distribution
#include <iostream>
#include <random>
int main()
{
const int nrolls=10000; // number of experiments
const int nstars=100; // maximum number of stars to distribute
std::default_random_engine generator;
std::normal_distribution<double> distribution(5.0,2.0);
int p[10]={};
for (int i=0; i<nrolls; ++i) {
double number = distribution(generator);
if ((number>=0.0)&&(number<10.0)) ++p[int(number)];
}
std::cout << "normal_distribution (5.0,2.0):" << std::endl;
for (int i=0; i<10; ++i) {
std::cout << i << "-" << (i+1) << ": ";
std::cout << std::string(p[i]*nstars/nrolls,'*') << std::endl;
}
return 0;
}

I think the OP was asking for a random number generator, in which the random numbers are not uniformly distributed (as is typical e.g. rand() in C) but are Gaussian distributed.
This short routine adapted from "Numerical Recipes in C" (Press et al, 1992) may be of use:
double grand() {
double r,v1,v2,fac;
r=2;
while (r>=1) {
v1=(2*((double)rand()/(double)RAND_MAX)-1);
v2=(2*((double)rand()/(double)RAND_MAX)-1);
r=v1*v1+v2*v2;
}
fac=sqrt(-2*log(r)/r);
return(v2*fac);
}
...ensure the relevant #includes are present for the math functions and rand, and that srand(time(NULL)) or similar has been called to appropriately seed the C rand() RNG.

If I got your question right you looking for the estimated normal distribution,
that is for the sample mean and the variance of the sample .
The former is calculated as:
and the latter as:
The sample mean can be used as expected value and the sample variance as in the gaussian distribution:
If you want more information check out:
http://mathworld.wolfram.com/SampleVariance.html
http://en.wikipedia.org/wiki/Sample_mean_and_sample_covariance
I hope that answered your question ;)

Related

Random generating of numbers doesn't work properly

I'm trying to create a programm that makes sudoku's. But when I try to let the programm place numbers at random spots it doesnt use every position.
I tried to use rand(); with srand(time(0));
and random number generators from <random>.
In the Constructor i use this:
mt19937_64 randomGeneratorTmp(time(0));
randomGenerator = randomGeneratorTmp;
uniform_int_distribution<int> numGetterTmp(0, 8);
numGetter = numGetterTmp;
While I have randomGenerator and numGetter variable so i can use them in another function of the sudoku object.
And this is the function where i use the random numbers:
bool fillInNumber(int n){
int placedNums = 0, tries=0;
int failedTries[9][9];
for(int dim1=0;dim1<9;dim1++){
for(int dim2=0;dim2<9;dim2++){
failedTries[dim1][dim2] = 0;
}
}
while(placedNums<9){
int dim1 = numGetter(randomGenerator);
int dim2 = numGetter(randomGenerator);
if(nums[dim1][dim2]==0){
if(allowedLocation(n,dim1,dim2)){
nums[dim1][dim2] = n;
placedNums++;
} else {
failedTries[dim1][dim2]++;
tries++;
}
}
if(tries>100000000){
if(placedNums == 8){
cout<< "Number: " << n << endl;
cout<< "Placing number: " << placedNums << endl;
cout<< "Dim1: " << dim1 << endl;
cout<< "Dim2: " << dim2 << endl;
printArray(failedTries);
}
return false;
}
}
return true;
}
(The array failedTries just shows me which positions the program tried.
and most of the fields have been tried millions of times, while others not once)
I think that the random generation just repeats itself before it used every number combination, but i don't know what i'm doing wrong.
Don't expect random numbers to have an even distribution over your matrix - there's no guarantee they will. That would be like having a routine to randomly generate cards from a deck, and waiting until you see all 52 values - you may wait a very very long time to get every single card.
That's especially true since "random" numbers are actually generated by pseudorandom number generators, which, generally utilize multiplying a very large number and adding an arbitrary constant. Depending on the algorithm, this might cluster in unanticipated ways.
If I may make a suggestion: create an array of all of the possible matrix positions, and then shuffle that array. That's how deck shuffling algorithms are able to guarantee you have all the cards in the deck covered, and it's the same problem you're having.
For a shuffle, generate two random positions in the array and exchange the values - repeat as many times as it takes to get a suitably random result. (Since your array is limited to 9x9, I might shuffle an array of ints 0..80: extract the columns and rows with a /9 and a % 9 for each int).
I wrote a simple program that should be equivalent to your code, and it works without issues:
#include <iostream>
#include <random>
#include <vector>
using namespace std;
int main()
{
std::default_random_engine engine;
std::uniform_int_distribution<int> distr(0,80);
std::vector<bool> vals(81,false);
int attempts = 0;
int trueCount = 0;
while(trueCount < 81)
{
int newNum = distr(engine);
if(!vals[newNum])
{
vals[newNum] = true;
trueCount++;
}
attempts++;
}
std::cout << "attempts: " << attempts;
return 0;
}
Usually it prints around 400 attempts which is the statistical average.
You most likely have a bug in your code. I am not sure where though, as you don't show all of your code.

Restart Guessing a Number game if the user type YES

I am new to C++. I've created a program that generates a random number and the user try to guess it. It will inform you if you have put a higher or smaller number until you guess the correct number. After guessing the correct number, it will ask you if you want to play again. If you type YES, the program should restart, but if you type NO, it should print Goodbye and close.
My program:
int main() {
int num, guess, tries = 0;
srand(time(0)); //seed random number generator
num = rand() % 100 + 1; // random number between 1 and 100
cout << "Guess My Number Game\n\n";
do
{
cout << "Enter a guess between 1 and 100 : ";
cin >> guess;
tries++;
if (guess > num)
cout << "Too high!\n\n";
else if (guess < num)
cout << "Too low!\n\n";
else
cout << "\nCorrect! You got it in " << tries << " guesses!\n";
} while (guess != num);
cin.ignore();
cin.get();
return 0;
}
Add a do while loop that runs while user input isn't "no". Don't forget to put your srand before the loop, and to re-initialize any other variables you might have.
Instead of using rand() and or srand() I prefer to use the Pseudo Random Number Generators from the standard library that can be found in the <random> header file. You can take a look at my small application to see what is happening for the random generators.
#include <iostream>
#include <string>
#include <random>
int main() {
static std::random_device rd;
static std::mt19937 gen;
gen.seed( rd() );
static std::uniform_int_distribution<> dist( 1, 100 );
int hiddenNumber = dist( gen );
int guess = 0;
int attempts = 0;
std::string userResponse;
do {
if ( attempts == 0 ) {
std::cout << "Enter a number between 1 and 100: ";
}
std::cin >> guess;
++attempts;
if ( guess < hiddenNumber ) {
std::cout << "\nYour guess was to low: Please try again!\n";
} else if ( guess > hiddenNumber ) {
std::cout << "\nYour guess was to high: Please try again!\n";
} else {
std::cout << "\nYou guessed it in " << attempts << " tries!\n";
std::cout << "\nWould you like to try again yes/no?\n\n";
userResponse.clear(); // clear out string first.
std::cin >> userResponse;
if ( userResponse == "yes" || userResponse == "Yes" ) {
attempts = 0;
hiddenNumber = dist( gen );
continue;
} else if ( userResponse == "no" || userResponse == "No" ) {
std::cout << "Goodbye!" << std::endl;
break;
}
}
} while ( guess != hiddenNumber );
std::cout << "/nPress any key to quit.";
std::cin.get();
return 0;
}
This section of code here that pertains to the random numbers I will explain in some detail:
static std::random_device rd;
static std::mt19937 gen;
gen.seed( rd() );
static std::uniform_int_distribution<> dist( 1, 100 );
The 1st line is a mechanism to be able to seed a generator or an engine from the library. There are several ways you can seed a generator
std::random_device
std::seed_seq
a literal constant value
std::chrono::high_resolution_clock
Once you have the type of mechanism to seed your generator there is a long list of generators available from the standard library but of the most commonly used is the Mersenne Twister that can be shown from the 2nd line of code declared as std::mt19937 there is also a 64bit version of this std::mt19937_64. This is the engine that we are using.
The 3rd line of code is taking the seeding mechanism and applying it to our generator as in gen.seed( rd() );.
After we have our generator set up and ready to go, we need a way to evenly or more properly to distribute the numbers randomly so we need what is called a distribution. Again there are many kinds of distributions in the standard library but there are normally 2 distinct types of each but not always, and those two types are the integral versions and the real versions. Some distributions may only have definitions for one or the other while some may have both.
In you case or example you are generating whole numbers or integers from [1,100] so here I chose to use std::uniform_int_distribution<>. These distributions are template types. However they do have defaults as shown above. If the uniform_int_distribution is defaulted it will simply use int, but you can pass unsigned int, short, unsigned short, char, unsigned char, bool, etc. to the template parameter list as long as it is an integral type. If you are working with floating point types (real) it is the same such as uniform_real_distribution<> it will default to use a double but it can take a float or any other decimal type number.
So now that you know how the distributions are declared-defined we can go ahead and do that as you can see from the 4th line. We are using the default type for the template parameter list. Then we declare a variable namded dist that it accepts two parameters into is constructor (min, max). Here we want to generator numbers from [1,100] so we declared it as dist(1, 100).
Now that we finally have all of that setup we can now use both our Distribution and already seeded generator to give us a random number. To do this we simply take our already constructed distribution and pass to it our generator and return the result back into our local variable.
int hiddenNumber = dist( gen );
It is that simple to use the modern c++ Pseudo Random Number Generators over the undesirable deprecated or soon to be deprecated rand() and srand() functions.
Now as for declaring the variables as static; I chose to make these static for performance reasons, as opposed to have them as local stack variables.
For more information on the standard libraries random generators and distributions you can visit cppreference : random.
As for the rest of the code it should be self explanatory.
EDIT - I made some changes to the do while loop. I went back and ran it through the debugger and it was not working as I was expecting. It is now working correctly from what I can tell. All the variables are being reset at the right place and I even added in the extra bit to say "Good Bye!".
You could do:
while (1) {
num = rand() % 100 + 1;
do {
...
} while (guess != num);
cout << "Restart?" << endl;
// Get answer and break if it is NO
}

What would be a good way to generate 16 bit random numbers in Visual C++? [duplicate]

I'm trying to make a game with dice, and I need to have random numbers in it (to simulate the sides of the die. I know how to make it between 1 and 6). Using
#include <cstdlib>
#include <ctime>
#include <iostream>
using namespace std;
int main()
{
srand((unsigned)time(0));
int i;
i = (rand()%6)+1;
cout << i << "\n";
}
doesn't work very well, because when I run the program a few times, here's the output I get:
6
1
1
1
1
1
2
2
2
2
5
2
So I want a command that will generate a different random number each time, not the same one 5 times in a row. Is there a command that will do this?
Using modulo may introduce bias into the random numbers, depending on the random number generator. See this question for more info. Of course, it's perfectly possible to get repeating numbers in a random sequence.
Try some C++11 features for better distribution:
#include <random>
#include <iostream>
int main()
{
std::random_device dev;
std::mt19937 rng(dev());
std::uniform_int_distribution<std::mt19937::result_type> dist6(1,6); // distribution in range [1, 6]
std::cout << dist6(rng) << std::endl;
}
See this question/answer for more info on C++11 random numbers. The above isn't the only way to do this, but is one way.
The most fundamental problem of your test application is that you call srand once and then call rand one time and exit.
The whole point of srand function is to initialize the sequence of pseudo-random numbers with a random seed.
It means that if you pass the same value to srand in two different applications (with the same srand/rand implementation) then you will get exactly the same sequence of rand() values read after that in both applications.
BUT in your example application pseudo-random sequence consists only of one element - the first element of a pseudo-random sequence generated from seed equal to current time of 1 sec precision. What do you expect to see on output then?
Obviously when you happen to run application on the same second - you use the same seed value - thus your result is the same of course (as Martin York already mentioned in a comment to the question).
Actually you should call srand(seed) one time and then call rand() many times and analyze that sequence - it should look random.
AMENDMENT 1 - example code:
OK I get it.
Apparently verbal description is not enough (maybe language barrier or something... :) ).
Old-fashioned C code example based on the same srand()/rand()/time() functions that was used in the question:
#include <stdlib.h>
#include <time.h>
#include <stdio.h>
int main(void)
{
unsigned long j;
srand( (unsigned)time(NULL) );
for( j = 0; j < 100500; ++j )
{
int n;
/* skip rand() readings that would make n%6 non-uniformly distributed
(assuming rand() itself is uniformly distributed from 0 to RAND_MAX) */
while( ( n = rand() ) > RAND_MAX - (RAND_MAX-5)%6 )
{ /* bad value retrieved so get next one */ }
printf( "%d,\t%d\n", n, n % 6 + 1 );
}
return 0;
}
^^^ THAT sequence from a single run of the program is supposed to look random.
Please NOTE that I don't recommend to use rand/srand functions in production code for the reasons explained below and I absolutely don't recommend to use function time as a random seed for the reasons that IMO already should be quite obvious. Those are fine for educational purposes and to illustrate the point sometimes but for any serious use they are mostly useless.
AMENDMENT 2 - detailed explanation:
It is important to understand that as of now there is NO C or C++ standard features (library functions or classes) producing actually random data definitively (i.e. guaranteed by the standard to be actually random). The only standard feature that approaches this problem is std::random_device that unfortunately still does not provide guarantees of actual randomness.
Depending on the nature of application you should first decide if you really need truly random (unpredictable) data. Notable case when you do most certainly need true randomness is information security - e.g. generating symmetric keys, asymmetric private keys, salt values, security tokens, etc.
Actually security-grade random numbers is a separate industry worth a separate article. (I briefly touch it in this answer of mine.)
In most cases Pseudo-Random Number Generator is sufficient - e.g. for scientific simulations or games. In some cases consistently defined pseudo-random sequence is even required - e.g. in games you may generate the same map(s) each time in runtime to save installation package size.
The original question and reoccurring multitude of identical/similar questions (and even many misguided "answers" to them) indicate that first and foremost it is important to distinguish random numbers from pseudo-random numbers AND to understand what is pseudo-random number sequence in the first place AND to realize that pseudo-random number generators are NOT used the same way you could use true random number generators.
Intuitively when you request random number - the result returned shouldn't depend on previously returned values and shouldn't depend if
anyone requested anything before and shouldn't depend in what moment
and by what process and on what computer and from what generator and
in what galaxy it was requested. That is what word "random" means
after all - being unpredictable and independent of anything -
otherwise it is not random anymore, right? With this intuition it is
only natural to search the web for some magic spells to cast to get
such random number in any possible context.
^^^ THAT kind of intuitive expectations IS VERY WRONG and harmful in all cases involving Pseudo-Random Number Generators - despite being reasonable for true random numbers.
While the meaningful notion of "random number" exists (kind of) - there is no such thing as "pseudo-random number". A Pseudo-Random Number Generator actually produces pseudo-random number sequence.
Pseudo-random sequence is in fact always deterministic (predetermined by its algorithm and initial parameters) - i.e. there is actually nothing random about it.
When experts talk about quality of PRNG they actually talk about statistical properties of the generated sequence (and its notable sub-sequences). For example if you combine two high quality PRNGs by using them both in turns - you may produce bad resulting sequence - despite them generating good sequences each separately (those two good sequences may simply correlate to each other and thus combine badly).
Specifically rand()/srand(s) pair of functions provide a singular per-process non-thread-safe(!) pseudo-random number sequence generated with implementation-defined algorithm. Function rand() produces values in range [0, RAND_MAX].
Quote from C11 standard (ISO/IEC 9899:2011):
The srand function uses the argument as a seed for a new sequence of
pseudo-random numbers to be returned by subsequent calls to rand. If
srand is then called with the same seed value, the sequence of
pseudo-random numbers shall be repeated. If rand is called before any
calls to srand have been made, the same sequence shall be generated as
when srand is first called with a seed value of 1.
Many people reasonably expect that rand() would produce a sequence of semi-independent uniformly distributed numbers in range 0 to RAND_MAX. Well it most certainly should (otherwise it's useless) but unfortunately not only standard doesn't require that - there is even explicit disclaimer that states "there is no guarantees as to the quality of the random sequence produced".
In some historical cases rand/srand implementation was of very bad quality indeed. Even though in modern implementations it is most likely good enough - but the trust is broken and not easy to recover.
Besides its non-thread-safe nature makes its safe usage in multi-threaded applications tricky and limited (still possible - you may just use them from one dedicated thread).
New class template std::mersenne_twister_engine<> (and its convenience typedefs - std::mt19937/std::mt19937_64 with good template parameters combination) provides per-object pseudo-random number generator defined in C++11 standard. With the same template parameters and the same initialization parameters different objects will generate exactly the same per-object output sequence on any computer in any application built with C++11 compliant standard library. The advantage of this class is its predictably high quality output sequence and full consistency across implementations.
Also there are other (much simpler) PRNG engines defined in C++11 standard - std::linear_congruential_engine<> (historically used as fair quality srand/rand algorithm in some C standard library implementations) and std::subtract_with_carry_engine<>. They also generate fully defined parameter-dependent per-object output sequences.
Modern day C++11 example replacement for the obsolete C code above:
#include <iostream>
#include <chrono>
#include <random>
int main()
{
std::random_device rd;
// seed value is designed specifically to make initialization
// parameters of std::mt19937 (instance of std::mersenne_twister_engine<>)
// different across executions of application
std::mt19937::result_type seed = rd() ^ (
(std::mt19937::result_type)
std::chrono::duration_cast<std::chrono::seconds>(
std::chrono::system_clock::now().time_since_epoch()
).count() +
(std::mt19937::result_type)
std::chrono::duration_cast<std::chrono::microseconds>(
std::chrono::high_resolution_clock::now().time_since_epoch()
).count() );
std::mt19937 gen(seed);
for( unsigned long j = 0; j < 100500; ++j )
/* ^^^Yes. Generating single pseudo-random number makes no sense
even if you use std::mersenne_twister_engine instead of rand()
and even when your seed quality is much better than time(NULL) */
{
std::mt19937::result_type n;
// reject readings that would make n%6 non-uniformly distributed
while( ( n = gen() ) > std::mt19937::max() -
( std::mt19937::max() - 5 )%6 )
{ /* bad value retrieved so get next one */ }
std::cout << n << '\t' << n % 6 + 1 << '\n';
}
return 0;
}
The version of previous code that uses std::uniform_int_distribution<>
#include <iostream>
#include <chrono>
#include <random>
int main()
{
std::random_device rd;
std::mt19937::result_type seed = rd() ^ (
(std::mt19937::result_type)
std::chrono::duration_cast<std::chrono::seconds>(
std::chrono::system_clock::now().time_since_epoch()
).count() +
(std::mt19937::result_type)
std::chrono::duration_cast<std::chrono::microseconds>(
std::chrono::high_resolution_clock::now().time_since_epoch()
).count() );
std::mt19937 gen(seed);
std::uniform_int_distribution<unsigned> distrib(1, 6);
for( unsigned long j = 0; j < 100500; ++j )
{
std::cout << distrib(gen) << ' ';
}
std::cout << '\n';
return 0;
}
Whenever you do a basic web search for random number generation in the C++ programming language this question is usually the first to pop up! I want to throw my hat into the ring to hopefully better clarify the concept of pseudo-random number generation in C++ for future coders that will inevitably search this same question on the web!
The Basics
Pseudo-random number generation involves the process of utilizing a deterministic algorithm that produces a sequence of numbers whose properties approximately resemble random numbers. I say approximately resemble, because true randomness is a rather elusive mystery in mathematics and computer science. Hence, why the term pseudo-random is utilized to be more pedantically correct!
Before you can actually use a PRNG, i.e., pseudo-random number generator, you must provide the algorithm with an initial value often referred too as the seed. However, the seed must only be set once before using the algorithm itself!
/// Proper way!
seed( 1234 ) /// Seed set only once...
for( x in range( 0, 10) ):
PRNG( seed ) /// Will work as expected
/// Wrong way!
for( x in rang( 0, 10 ) ):
seed( 1234 ) /// Seed reset for ten iterations!
PRNG( seed ) /// Output will be the same...
Thus, if you want a good sequence of numbers, then you must provide an ample seed to the PRNG!
The Old C Way
The backwards compatible standard library of C that C++ has, uses what is called a linear congruential generator found in the cstdlib header file! This PRNG functions through a discontinuous piecewise function that utilizes modular arithmetic, i.e., a quick algorithm that likes to use the modulo operator '%'. The following is common usage of this PRNG, with regards to the original question asked by #Predictability:
#include <iostream>
#include <cstdlib>
#include <ctime>
int main( void )
{
int low_dist = 1;
int high_dist = 6;
std::srand( ( unsigned int )std::time( nullptr ) );
for( int repetition = 0; repetition < 10; ++repetition )
std::cout << low_dist + std::rand() % ( high_dist - low_dist ) << std::endl;
return 0;
}
The common usage of C's PRNG houses a whole host of issues such as:
The overall interface of std::rand() isn't very intuitive for the proper generation of pseudo-random numbers between a given range, e.g., producing numbers between [1, 6] the way #Predictability wanted.
The common usage of std::rand() eliminates the possibility of a uniform distribution of pseudo-random numbers, because of the Pigeonhole Principle.
The common way std::rand() gets seeded through std::srand( ( unsigned int )std::time( nullptr ) ) technically isn't correct, because time_t is considered to be a restricted type. Therefore, the conversion from time_t to unsigned int is not guaranteed!
For more detailed information about the overall issues of using C's PRNG, and how to possibly circumvent them, please refer to Using rand() (C/C++): Advice for the C standard library’s rand() function!
The Standard C++ Way
Since the ISO/IEC 14882:2011 standard was published, i.e., C++11, the random library has been apart of the C++ programming language for a while now. This library comes equipped with multiple PRNGs, and different distribution types such as: uniform distribution, normal distribution, binomial distribution, etc. The following source code example demonstrates a very basic usage of the random library, with regards to #Predictability's original question:
#include <iostream>
#include <cctype>
#include <random>
using u32 = uint_least32_t;
using engine = std::mt19937;
int main( void )
{
std::random_device os_seed;
const u32 seed = os_seed();
engine generator( seed );
std::uniform_int_distribution< u32 > distribute( 1, 6 );
for( int repetition = 0; repetition < 10; ++repetition )
std::cout << distribute( generator ) << std::endl;
return 0;
}
The 32-bit Mersenne Twister engine, with a uniform distribution of integer values was utilized in the above example. (The name of the engine in source code sounds weird, because its name comes from its period of 2^19937-1 ). The example also uses std::random_device to seed the engine, which obtains its value from the operating system (If you are using a Linux system, then std::random_device returns a value from /dev/urandom).
Take note, that you do not have to use std::random_device to seed any engine. You can use constants or even the chrono library! You also don't have to use the 32-bit version of the std::mt19937 engine, there are other options! For more information about the capabilities of the random library, please refer to cplusplus.com
All in all, C++ programmers should not use std::rand() anymore, not because its bad, but because the current standard provides better alternatives that are more straight forward and reliable. Hopefully, many of you find this helpful, especially those of you who recently web searched generating random numbers in c++!
If you are using boost libs you can obtain a random generator in this way:
#include <iostream>
#include <string>
// Used in randomization
#include <ctime>
#include <boost/random/mersenne_twister.hpp>
#include <boost/random/uniform_int_distribution.hpp>
#include <boost/random/variate_generator.hpp>
using namespace std;
using namespace boost;
int current_time_nanoseconds(){
struct timespec tm;
clock_gettime(CLOCK_REALTIME, &tm);
return tm.tv_nsec;
}
int main (int argc, char* argv[]) {
unsigned int dice_rolls = 12;
random::mt19937 rng(current_time_nanoseconds());
random::uniform_int_distribution<> six(1,6);
for(unsigned int i=0; i<dice_rolls; i++){
cout << six(rng) << endl;
}
}
Where the function current_time_nanoseconds() gives the current time in nanoseconds which is used as a seed.
Here is a more general class to get random integers and dates in a range:
#include <iostream>
#include <ctime>
#include <boost/random/mersenne_twister.hpp>
#include <boost/random/uniform_int_distribution.hpp>
#include <boost/random/variate_generator.hpp>
#include "boost/date_time/posix_time/posix_time.hpp"
#include "boost/date_time/gregorian/gregorian.hpp"
using namespace std;
using namespace boost;
using namespace boost::posix_time;
using namespace boost::gregorian;
class Randomizer {
private:
static const bool debug_mode = false;
random::mt19937 rng_;
// The private constructor so that the user can not directly instantiate
Randomizer() {
if(debug_mode==true){
this->rng_ = random::mt19937();
}else{
this->rng_ = random::mt19937(current_time_nanoseconds());
}
};
int current_time_nanoseconds(){
struct timespec tm;
clock_gettime(CLOCK_REALTIME, &tm);
return tm.tv_nsec;
}
// C++ 03
// ========
// Dont forget to declare these two. You want to make sure they
// are unacceptable otherwise you may accidentally get copies of
// your singleton appearing.
Randomizer(Randomizer const&); // Don't Implement
void operator=(Randomizer const&); // Don't implement
public:
static Randomizer& get_instance(){
// The only instance of the class is created at the first call get_instance ()
// and will be destroyed only when the program exits
static Randomizer instance;
return instance;
}
bool method() { return true; };
int rand(unsigned int floor, unsigned int ceil){
random::uniform_int_distribution<> rand_ = random::uniform_int_distribution<> (floor,ceil);
return (rand_(rng_));
}
// Is not considering the millisecons
time_duration rand_time_duration(){
boost::posix_time::time_duration floor(0, 0, 0, 0);
boost::posix_time::time_duration ceil(23, 59, 59, 0);
unsigned int rand_seconds = rand(floor.total_seconds(), ceil.total_seconds());
return seconds(rand_seconds);
}
date rand_date_from_epoch_to_now(){
date now = second_clock::local_time().date();
return rand_date_from_epoch_to_ceil(now);
}
date rand_date_from_epoch_to_ceil(date ceil_date){
date epoch = ptime(date(1970,1,1)).date();
return rand_date_in_interval(epoch, ceil_date);
}
date rand_date_in_interval(date floor_date, date ceil_date){
return rand_ptime_in_interval(ptime(floor_date), ptime(ceil_date)).date();
}
ptime rand_ptime_from_epoch_to_now(){
ptime now = second_clock::local_time();
return rand_ptime_from_epoch_to_ceil(now);
}
ptime rand_ptime_from_epoch_to_ceil(ptime ceil_date){
ptime epoch = ptime(date(1970,1,1));
return rand_ptime_in_interval(epoch, ceil_date);
}
ptime rand_ptime_in_interval(ptime floor_date, ptime ceil_date){
time_duration const diff = ceil_date - floor_date;
long long gap_seconds = diff.total_seconds();
long long step_seconds = Randomizer::get_instance().rand(0, gap_seconds);
return floor_date + seconds(step_seconds);
}
};
#include <iostream>
#include <cstdlib>
#include <ctime>
int main() {
srand(time(NULL));
int random_number = std::rand(); // rand() return a number between ​0​ and RAND_MAX
std::cout << random_number;
return 0;
}
http://en.cppreference.com/w/cpp/numeric/random/rand
Can get full Randomer class code for generating random numbers from here!
If you need random numbers in different parts of the project you can create a separate class Randomer to incapsulate all the random stuff inside it.
Something like that:
class Randomer {
// random seed by default
std::mt19937 gen_;
std::uniform_int_distribution<size_t> dist_;
public:
/* ... some convenient ctors ... */
Randomer(size_t min, size_t max, unsigned int seed = std::random_device{}())
: gen_{seed}, dist_{min, max} {
}
// if you want predictable numbers
void SetSeed(unsigned int seed) {
gen_.seed(seed);
}
size_t operator()() {
return dist_(gen_);
}
};
Such a class would be handy later on:
int main() {
Randomer randomer{0, 10};
std::cout << randomer() << "\n";
}
You can check this link as an example how i use such Randomer class to generate random strings. You can also use Randomer if you wish.
Generate a different random number each time, not the same one six times in a row.
Use case scenario
I likened Predictability's problem to a bag of six bits of paper, each with a value from 0 to 5 written on it. A piece of paper is drawn from the bag each time a new value is required. If the bag is empty, then the numbers are put back into the bag.
...from this, I can create an algorithm of sorts.
Algorithm
A bag is usually a Collection. I chose a bool[] (otherwise known as a boolean array, bit plane or bit map) to take the role of the bag.
The reason I chose a bool[] is because the index of each item is already the value of each piece of paper. If the papers required anything else written on them then I would have used a Dictionary<string, bool> in its place. The boolean value is used to keep track of whether the number has been drawn yet or not.
A counter called RemainingNumberCount is initialised to 5 that counts down as a random number is chosen. This saves us from having to count how many pieces of paper are left each time we wish to draw a new number.
To select the next random value I'm using a for..loop to scan through the bag of indexes, and a counter to count off when an index is false called NumberOfMoves.
NumberOfMoves is used to choose the next available number. NumberOfMoves is first set to be a random value between 0 and 5, because there are 0..5 available steps we can make through the bag. On the next iteration NumberOfMoves is set to be a random value between 0 and 4, because there are now 0..4 steps we can make through the bag. As the numbers are used, the available numbers reduce so we instead use rand() % (RemainingNumberCount + 1) to calculate the next value for NumberOfMoves.
When the NumberOfMoves counter reaches zero, the for..loop should as follows:
Set the current Value to be the same as for..loop's index.
Set all the numbers in the bag to false.
Break from the for..loop.
Code
The code for the above solution is as follows:
(put the following three blocks into the main .cpp file one after the other)
#include "stdafx.h"
#include <ctime>
#include <iostream>
#include <string>
class RandomBag {
public:
int Value = -1;
RandomBag() {
ResetBag();
}
void NextValue() {
int BagOfNumbersLength = sizeof(BagOfNumbers) / sizeof(*BagOfNumbers);
int NumberOfMoves = rand() % (RemainingNumberCount + 1);
for (int i = 0; i < BagOfNumbersLength; i++)
if (BagOfNumbers[i] == 0) {
NumberOfMoves--;
if (NumberOfMoves == -1)
{
Value = i;
BagOfNumbers[i] = 1;
break;
}
}
if (RemainingNumberCount == 0) {
RemainingNumberCount = 5;
ResetBag();
}
else
RemainingNumberCount--;
}
std::string ToString() {
return std::to_string(Value);
}
private:
bool BagOfNumbers[6];
int RemainingNumberCount;
int NumberOfMoves;
void ResetBag() {
RemainingNumberCount = 5;
NumberOfMoves = rand() % 6;
int BagOfNumbersLength = sizeof(BagOfNumbers) / sizeof(*BagOfNumbers);
for (int i = 0; i < BagOfNumbersLength; i++)
BagOfNumbers[i] = 0;
}
};
A Console class
I create this Console class because it makes it easy to redirect output.
Below in the code...
Console::WriteLine("The next value is " + randomBag.ToString());
...can be replaced by...
std::cout << "The next value is " + randomBag.ToString() << std::endl;
...and then this Console class can be deleted if desired.
class Console {
public:
static void WriteLine(std::string s) {
std::cout << s << std::endl;
}
};
Main method
Example usage as follows:
int main() {
srand((unsigned)time(0)); // Initialise random seed based on current time
RandomBag randomBag;
Console::WriteLine("First set of six...\n");
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
Console::WriteLine("\nSecond set of six...\n");
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
Console::WriteLine("\nThird set of six...\n");
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
Console::WriteLine("\nProcess complete.\n");
system("pause");
}
Example output
When I ran the program, I got the following output:
First set of six...
The next value is 2
The next value is 3
The next value is 4
The next value is 5
The next value is 0
The next value is 1
Second set of six...
The next value is 3
The next value is 4
The next value is 2
The next value is 0
The next value is 1
The next value is 5
Third set of six...
The next value is 4
The next value is 5
The next value is 2
The next value is 0
The next value is 3
The next value is 1
Process complete.
Press any key to continue . . .
Closing statement
This program was written using Visual Studio 2017, and I chose to make it a Visual C++ Windows Console Application project using .Net 4.6.1.
I'm not doing anything particularly special here, so the code should work on earlier versions of Visual Studio too.
A very opinionated answer
The c++ <random> library violates one of the best principles of software engineering: "Simple things done simple, complex, uncommon things can be a bit more complex."
Instead, they make even the simple and common use cases overly complex, just because they suffer from a cultural disease, fearing comments like "This is not general enough."
As a result, now whenever you want a simple random number, you have to look into the documentation, read stack overflow with walls of text, glorifying this terrible design, instead of it just being an easy-to-remember one or 2 liner. (Common Lisp is more pragmatic: (random 5) yields uniformly distributed integers from 0..4 and (random 1.0) yields real numbers between 0.0..1.0. That is the most common use case and it is at your finger tips. If you need more sophisticated stuff, you have to find packages and libraries or do it yourself.)
Just calculate the across the globe accrued man hours of everyone wasting time on understanding that header and its contents to see how bad it is.
Even I am wasting my time now, writing this answer and you waste your time, reading it, just because they created a piece of complex puzzle, which is in kindred spirit with other modern abominations, such as the Vulkan API.
So, how to cope with it? Waste your time once, write yourself a header file for your most common use cases and then just re-use it whenever you need it.
Here is a solution. Create a function that returns the random number and place it
outside the main function to make it global. Hope this helps
#include <iostream>
#include <cstdlib>
#include <ctime>
int rollDie();
using std::cout;
int main (){
srand((unsigned)time(0));
int die1;
int die2;
for (int n=10; n>0; n--){
die1 = rollDie();
die2 = rollDie();
cout << die1 << " + " << die2 << " = " << die1 + die2 << "\n";
}
system("pause");
return 0;
}
int rollDie(){
return (rand()%6)+1;
}
This code produces random numbers from n to m.
int random(int from, int to){
return rand() % (to - from + 1) + from;
}
example:
int main(){
srand(time(0));
cout << random(0, 99) << "\n";
}
for random every RUN file
size_t randomGenerator(size_t min, size_t max) {
std::mt19937 rng;
rng.seed(std::random_device()());
//rng.seed(std::chrono::high_resolution_clock::now().time_since_epoch().count());
std::uniform_int_distribution<std::mt19937::result_type> dist(min, max);
return dist(rng);
}
I know how to generate random number in C++ without using any headers, compiler intrinsics or whatever.
#include <cstdio> // Just for printf
int main() {
auto val = new char[0x10000];
auto num = reinterpret_cast<unsigned long long>(val);
delete[] val;
num = num / 0x1000 % 10;
printf("%llu\n", num);
}
I got the following stats after run for some period of time:
0: 5268
1: 5284
2: 5279
3: 5242
4: 5191
5: 5135
6: 5183
7: 5236
8: 5372
9: 5343
Looks random.
How it works:
Modern compilers protect you from buffer overflow using ASLR (address space layout randomization).
So you can generate some random numbers without using any libraries, but it is just for fun. Do not use ASLR like that.
Here my 5 cents:
// System includes
#include <iostream>
#include <algorithm>
#include <chrono>
#include <random>
// Application includes
// Namespace
using namespace std;
// Constants
#define A_UNUSED(inVariable) (void)inVariable;
int main(int inCounter, char* inArguments[]) {
A_UNUSED(inCounter);
A_UNUSED(inArguments);
std::random_device oRandomDevice;
mt19937_64 oNumber;
std::mt19937_64::result_type oSeed;
std::mt19937_64::result_type oValue1;
std::mt19937_64::result_type oValue2;
for (int i = 0; i < 20; i++) {
oValue1 = (std::mt19937_64::result_type) std::chrono::duration_cast<std::chrono::seconds>(
std::chrono::system_clock::now().time_since_epoch()
).count();
oValue2 = (std::mt19937_64::result_type) std::chrono::duration_cast<std::chrono::microseconds>(
std::chrono::system_clock::now().time_since_epoch()
).count();
oSeed = oRandomDevice() ^ (oValue1 + oValue2);
oNumber.seed(oSeed);
cout << "oNumber: " << oNumber << "\n";
cout << "oNumber.default_seed: " << oNumber.default_seed << "\n";
cout << "oNumber.initialization_multiplier: " << oNumber.initialization_multiplier << "\n";
cout << "oNumber.mask_bits: " << oNumber.mask_bits << "\n";
cout << "oNumber.max(): " << oNumber.max() << "\n";
cout << "oNumber.min(): " << oNumber.min() << "\n";
cout << "oNumber.shift_size: " << oNumber.shift_size << "\n";
cout << "oNumber.state_size: " << oNumber.state_size << "\n";
cout << "oNumber.tempering_b: " << oNumber.tempering_b << "\n";
cout << "oNumber.tempering_c: " << oNumber.tempering_c << "\n";
cout << "oNumber.tempering_d: " << oNumber.tempering_d << "\n";
cout << "oNumber.tempering_l: " << oNumber.tempering_l << "\n";
cout << "oNumber.tempering_s: " << oNumber.tempering_s << "\n";
cout << "oNumber.tempering_t: " << oNumber.tempering_t << "\n";
cout << "oNumber.tempering_u: " << oNumber.tempering_u << "\n";
cout << "oNumber.word_size: " << oNumber.word_size << "\n";
cout << "oNumber.xor_mask: " << oNumber.xor_mask << "\n";
cout << "oNumber._Max: " << oNumber._Max << "\n";
cout << "oNumber._Min: " << oNumber._Min << "\n";
}
cout << "Random v2" << endl;
return 0;
}
Here is a simple random generator with approx. equal probability of generating positive and negative values around 0:
int getNextRandom(const size_t lim)
{
int nextRand = rand() % lim;
int nextSign = rand() % lim;
if (nextSign < lim / 2)
return -nextRand;
return nextRand;
}
int main()
{
srand(time(NULL));
int r = getNextRandom(100);
cout << r << endl;
return 0;
}

not random enough for monte carlo

I am trying to generate values from a normal distribution using a monte carlo method, as per the website http://math60082.blogspot.ca/2013/03/c-coding-random-numbers-and-monte-carlo.html
I modified the code a bit from the original so it calculates the variance and mean for the numbers generated directly to check if the method is working rather than do the tests separately (same difference really but just a heads up).
Question
Regardless of what I do, the variance is way above 1 and the mean is not zero. Is it possible the pseudo-random numbers generated aren't random enough?
Code
PLEASE NOTE THAT THE AUTHOR OF THE ABOVE GIVEN WEBSITE IS THE PERSON WHO WROTE THE CODE
#include <cstdlib>
#include <cmath>
#include <ctime>
#include <iostream>
using namespace std;
// return a uniformly distributed random number
double uniformRandom()
{
return ( (double)(rand()) + 1. )/( (double)(RAND_MAX) + 1. );
}
// return a normally distributed random number
double normalRandom()
{
double u1=uniformRandom();
double u2=uniformRandom();
return cos(8.*atan(1.)*u2)*sqrt(-2.*log(u1));
}
int main()
{
double z;
int N=1000;
double array[N];
double mean=0 ,variance=0;
srand(time(NULL));
for(int i=0;i<N;i++)
{
z=normalRandom();
cout << i << "->"<< z<< endl;
mean+=z;
array[i]=z;
}
mean=mean/N ;
cout << " mean = " << mean << endl;
for(int i=0;i<N;i++)
{
variance = variance + (mean - array[i])*(mean - array[i]);
}
variance = variance/N;
cout << " variance = " << variance << endl;
return 0;
}
UPDATE
Apparently as pointed by users, I screwed up and the program was not working because of a very silly mistake.
You seems computed the mean in a wrong way. mean should be averaged over N, while you only sum over all array elements. current mean is actually sum.
mean = mean /N
rand() is a very low quality random numbers generator in most implementations. Some Linux versions would take value from kernel entropy pool, but it is not guaranteed across platforms (e.g. on Windows?) Use a Mersenne Twister instead. Boost libraries implement one.
EDIT: taocp answer highlights a coding problem, but the RNG issue still applies.

How to generate a random number in C++?

I'm trying to make a game with dice, and I need to have random numbers in it (to simulate the sides of the die. I know how to make it between 1 and 6). Using
#include <cstdlib>
#include <ctime>
#include <iostream>
using namespace std;
int main()
{
srand((unsigned)time(0));
int i;
i = (rand()%6)+1;
cout << i << "\n";
}
doesn't work very well, because when I run the program a few times, here's the output I get:
6
1
1
1
1
1
2
2
2
2
5
2
So I want a command that will generate a different random number each time, not the same one 5 times in a row. Is there a command that will do this?
Using modulo may introduce bias into the random numbers, depending on the random number generator. See this question for more info. Of course, it's perfectly possible to get repeating numbers in a random sequence.
Try some C++11 features for better distribution:
#include <random>
#include <iostream>
int main()
{
std::random_device dev;
std::mt19937 rng(dev());
std::uniform_int_distribution<std::mt19937::result_type> dist6(1,6); // distribution in range [1, 6]
std::cout << dist6(rng) << std::endl;
}
See this question/answer for more info on C++11 random numbers. The above isn't the only way to do this, but is one way.
The most fundamental problem of your test application is that you call srand once and then call rand one time and exit.
The whole point of srand function is to initialize the sequence of pseudo-random numbers with a random seed.
It means that if you pass the same value to srand in two different applications (with the same srand/rand implementation) then you will get exactly the same sequence of rand() values read after that in both applications.
BUT in your example application pseudo-random sequence consists only of one element - the first element of a pseudo-random sequence generated from seed equal to current time of 1 sec precision. What do you expect to see on output then?
Obviously when you happen to run application on the same second - you use the same seed value - thus your result is the same of course (as Martin York already mentioned in a comment to the question).
Actually you should call srand(seed) one time and then call rand() many times and analyze that sequence - it should look random.
AMENDMENT 1 - example code:
OK I get it.
Apparently verbal description is not enough (maybe language barrier or something... :) ).
Old-fashioned C code example based on the same srand()/rand()/time() functions that was used in the question:
#include <stdlib.h>
#include <time.h>
#include <stdio.h>
int main(void)
{
unsigned long j;
srand( (unsigned)time(NULL) );
for( j = 0; j < 100500; ++j )
{
int n;
/* skip rand() readings that would make n%6 non-uniformly distributed
(assuming rand() itself is uniformly distributed from 0 to RAND_MAX) */
while( ( n = rand() ) > RAND_MAX - (RAND_MAX-5)%6 )
{ /* bad value retrieved so get next one */ }
printf( "%d,\t%d\n", n, n % 6 + 1 );
}
return 0;
}
^^^ THAT sequence from a single run of the program is supposed to look random.
Please NOTE that I don't recommend to use rand/srand functions in production code for the reasons explained below and I absolutely don't recommend to use function time as a random seed for the reasons that IMO already should be quite obvious. Those are fine for educational purposes and to illustrate the point sometimes but for any serious use they are mostly useless.
AMENDMENT 2 - detailed explanation:
It is important to understand that as of now there is NO C or C++ standard features (library functions or classes) producing actually random data definitively (i.e. guaranteed by the standard to be actually random). The only standard feature that approaches this problem is std::random_device that unfortunately still does not provide guarantees of actual randomness.
Depending on the nature of application you should first decide if you really need truly random (unpredictable) data. Notable case when you do most certainly need true randomness is information security - e.g. generating symmetric keys, asymmetric private keys, salt values, security tokens, etc.
Actually security-grade random numbers is a separate industry worth a separate article. (I briefly touch it in this answer of mine.)
In most cases Pseudo-Random Number Generator is sufficient - e.g. for scientific simulations or games. In some cases consistently defined pseudo-random sequence is even required - e.g. in games you may generate the same map(s) each time in runtime to save installation package size.
The original question and reoccurring multitude of identical/similar questions (and even many misguided "answers" to them) indicate that first and foremost it is important to distinguish random numbers from pseudo-random numbers AND to understand what is pseudo-random number sequence in the first place AND to realize that pseudo-random number generators are NOT used the same way you could use true random number generators.
Intuitively when you request random number - the result returned shouldn't depend on previously returned values and shouldn't depend if
anyone requested anything before and shouldn't depend in what moment
and by what process and on what computer and from what generator and
in what galaxy it was requested. That is what word "random" means
after all - being unpredictable and independent of anything -
otherwise it is not random anymore, right? With this intuition it is
only natural to search the web for some magic spells to cast to get
such random number in any possible context.
^^^ THAT kind of intuitive expectations IS VERY WRONG and harmful in all cases involving Pseudo-Random Number Generators - despite being reasonable for true random numbers.
While the meaningful notion of "random number" exists (kind of) - there is no such thing as "pseudo-random number". A Pseudo-Random Number Generator actually produces pseudo-random number sequence.
Pseudo-random sequence is in fact always deterministic (predetermined by its algorithm and initial parameters) - i.e. there is actually nothing random about it.
When experts talk about quality of PRNG they actually talk about statistical properties of the generated sequence (and its notable sub-sequences). For example if you combine two high quality PRNGs by using them both in turns - you may produce bad resulting sequence - despite them generating good sequences each separately (those two good sequences may simply correlate to each other and thus combine badly).
Specifically rand()/srand(s) pair of functions provide a singular per-process non-thread-safe(!) pseudo-random number sequence generated with implementation-defined algorithm. Function rand() produces values in range [0, RAND_MAX].
Quote from C11 standard (ISO/IEC 9899:2011):
The srand function uses the argument as a seed for a new sequence of
pseudo-random numbers to be returned by subsequent calls to rand. If
srand is then called with the same seed value, the sequence of
pseudo-random numbers shall be repeated. If rand is called before any
calls to srand have been made, the same sequence shall be generated as
when srand is first called with a seed value of 1.
Many people reasonably expect that rand() would produce a sequence of semi-independent uniformly distributed numbers in range 0 to RAND_MAX. Well it most certainly should (otherwise it's useless) but unfortunately not only standard doesn't require that - there is even explicit disclaimer that states "there is no guarantees as to the quality of the random sequence produced".
In some historical cases rand/srand implementation was of very bad quality indeed. Even though in modern implementations it is most likely good enough - but the trust is broken and not easy to recover.
Besides its non-thread-safe nature makes its safe usage in multi-threaded applications tricky and limited (still possible - you may just use them from one dedicated thread).
New class template std::mersenne_twister_engine<> (and its convenience typedefs - std::mt19937/std::mt19937_64 with good template parameters combination) provides per-object pseudo-random number generator defined in C++11 standard. With the same template parameters and the same initialization parameters different objects will generate exactly the same per-object output sequence on any computer in any application built with C++11 compliant standard library. The advantage of this class is its predictably high quality output sequence and full consistency across implementations.
Also there are other (much simpler) PRNG engines defined in C++11 standard - std::linear_congruential_engine<> (historically used as fair quality srand/rand algorithm in some C standard library implementations) and std::subtract_with_carry_engine<>. They also generate fully defined parameter-dependent per-object output sequences.
Modern day C++11 example replacement for the obsolete C code above:
#include <iostream>
#include <chrono>
#include <random>
int main()
{
std::random_device rd;
// seed value is designed specifically to make initialization
// parameters of std::mt19937 (instance of std::mersenne_twister_engine<>)
// different across executions of application
std::mt19937::result_type seed = rd() ^ (
(std::mt19937::result_type)
std::chrono::duration_cast<std::chrono::seconds>(
std::chrono::system_clock::now().time_since_epoch()
).count() +
(std::mt19937::result_type)
std::chrono::duration_cast<std::chrono::microseconds>(
std::chrono::high_resolution_clock::now().time_since_epoch()
).count() );
std::mt19937 gen(seed);
for( unsigned long j = 0; j < 100500; ++j )
/* ^^^Yes. Generating single pseudo-random number makes no sense
even if you use std::mersenne_twister_engine instead of rand()
and even when your seed quality is much better than time(NULL) */
{
std::mt19937::result_type n;
// reject readings that would make n%6 non-uniformly distributed
while( ( n = gen() ) > std::mt19937::max() -
( std::mt19937::max() - 5 )%6 )
{ /* bad value retrieved so get next one */ }
std::cout << n << '\t' << n % 6 + 1 << '\n';
}
return 0;
}
The version of previous code that uses std::uniform_int_distribution<>
#include <iostream>
#include <chrono>
#include <random>
int main()
{
std::random_device rd;
std::mt19937::result_type seed = rd() ^ (
(std::mt19937::result_type)
std::chrono::duration_cast<std::chrono::seconds>(
std::chrono::system_clock::now().time_since_epoch()
).count() +
(std::mt19937::result_type)
std::chrono::duration_cast<std::chrono::microseconds>(
std::chrono::high_resolution_clock::now().time_since_epoch()
).count() );
std::mt19937 gen(seed);
std::uniform_int_distribution<unsigned> distrib(1, 6);
for( unsigned long j = 0; j < 100500; ++j )
{
std::cout << distrib(gen) << ' ';
}
std::cout << '\n';
return 0;
}
Whenever you do a basic web search for random number generation in the C++ programming language this question is usually the first to pop up! I want to throw my hat into the ring to hopefully better clarify the concept of pseudo-random number generation in C++ for future coders that will inevitably search this same question on the web!
The Basics
Pseudo-random number generation involves the process of utilizing a deterministic algorithm that produces a sequence of numbers whose properties approximately resemble random numbers. I say approximately resemble, because true randomness is a rather elusive mystery in mathematics and computer science. Hence, why the term pseudo-random is utilized to be more pedantically correct!
Before you can actually use a PRNG, i.e., pseudo-random number generator, you must provide the algorithm with an initial value often referred too as the seed. However, the seed must only be set once before using the algorithm itself!
/// Proper way!
seed( 1234 ) /// Seed set only once...
for( x in range( 0, 10) ):
PRNG( seed ) /// Will work as expected
/// Wrong way!
for( x in rang( 0, 10 ) ):
seed( 1234 ) /// Seed reset for ten iterations!
PRNG( seed ) /// Output will be the same...
Thus, if you want a good sequence of numbers, then you must provide an ample seed to the PRNG!
The Old C Way
The backwards compatible standard library of C that C++ has, uses what is called a linear congruential generator found in the cstdlib header file! This PRNG functions through a discontinuous piecewise function that utilizes modular arithmetic, i.e., a quick algorithm that likes to use the modulo operator '%'. The following is common usage of this PRNG, with regards to the original question asked by #Predictability:
#include <iostream>
#include <cstdlib>
#include <ctime>
int main( void )
{
int low_dist = 1;
int high_dist = 6;
std::srand( ( unsigned int )std::time( nullptr ) );
for( int repetition = 0; repetition < 10; ++repetition )
std::cout << low_dist + std::rand() % ( high_dist - low_dist ) << std::endl;
return 0;
}
The common usage of C's PRNG houses a whole host of issues such as:
The overall interface of std::rand() isn't very intuitive for the proper generation of pseudo-random numbers between a given range, e.g., producing numbers between [1, 6] the way #Predictability wanted.
The common usage of std::rand() eliminates the possibility of a uniform distribution of pseudo-random numbers, because of the Pigeonhole Principle.
The common way std::rand() gets seeded through std::srand( ( unsigned int )std::time( nullptr ) ) technically isn't correct, because time_t is considered to be a restricted type. Therefore, the conversion from time_t to unsigned int is not guaranteed!
For more detailed information about the overall issues of using C's PRNG, and how to possibly circumvent them, please refer to Using rand() (C/C++): Advice for the C standard library’s rand() function!
The Standard C++ Way
Since the ISO/IEC 14882:2011 standard was published, i.e., C++11, the random library has been apart of the C++ programming language for a while now. This library comes equipped with multiple PRNGs, and different distribution types such as: uniform distribution, normal distribution, binomial distribution, etc. The following source code example demonstrates a very basic usage of the random library, with regards to #Predictability's original question:
#include <iostream>
#include <cctype>
#include <random>
using u32 = uint_least32_t;
using engine = std::mt19937;
int main( void )
{
std::random_device os_seed;
const u32 seed = os_seed();
engine generator( seed );
std::uniform_int_distribution< u32 > distribute( 1, 6 );
for( int repetition = 0; repetition < 10; ++repetition )
std::cout << distribute( generator ) << std::endl;
return 0;
}
The 32-bit Mersenne Twister engine, with a uniform distribution of integer values was utilized in the above example. (The name of the engine in source code sounds weird, because its name comes from its period of 2^19937-1 ). The example also uses std::random_device to seed the engine, which obtains its value from the operating system (If you are using a Linux system, then std::random_device returns a value from /dev/urandom).
Take note, that you do not have to use std::random_device to seed any engine. You can use constants or even the chrono library! You also don't have to use the 32-bit version of the std::mt19937 engine, there are other options! For more information about the capabilities of the random library, please refer to cplusplus.com
All in all, C++ programmers should not use std::rand() anymore, not because its bad, but because the current standard provides better alternatives that are more straight forward and reliable. Hopefully, many of you find this helpful, especially those of you who recently web searched generating random numbers in c++!
If you are using boost libs you can obtain a random generator in this way:
#include <iostream>
#include <string>
// Used in randomization
#include <ctime>
#include <boost/random/mersenne_twister.hpp>
#include <boost/random/uniform_int_distribution.hpp>
#include <boost/random/variate_generator.hpp>
using namespace std;
using namespace boost;
int current_time_nanoseconds(){
struct timespec tm;
clock_gettime(CLOCK_REALTIME, &tm);
return tm.tv_nsec;
}
int main (int argc, char* argv[]) {
unsigned int dice_rolls = 12;
random::mt19937 rng(current_time_nanoseconds());
random::uniform_int_distribution<> six(1,6);
for(unsigned int i=0; i<dice_rolls; i++){
cout << six(rng) << endl;
}
}
Where the function current_time_nanoseconds() gives the current time in nanoseconds which is used as a seed.
Here is a more general class to get random integers and dates in a range:
#include <iostream>
#include <ctime>
#include <boost/random/mersenne_twister.hpp>
#include <boost/random/uniform_int_distribution.hpp>
#include <boost/random/variate_generator.hpp>
#include "boost/date_time/posix_time/posix_time.hpp"
#include "boost/date_time/gregorian/gregorian.hpp"
using namespace std;
using namespace boost;
using namespace boost::posix_time;
using namespace boost::gregorian;
class Randomizer {
private:
static const bool debug_mode = false;
random::mt19937 rng_;
// The private constructor so that the user can not directly instantiate
Randomizer() {
if(debug_mode==true){
this->rng_ = random::mt19937();
}else{
this->rng_ = random::mt19937(current_time_nanoseconds());
}
};
int current_time_nanoseconds(){
struct timespec tm;
clock_gettime(CLOCK_REALTIME, &tm);
return tm.tv_nsec;
}
// C++ 03
// ========
// Dont forget to declare these two. You want to make sure they
// are unacceptable otherwise you may accidentally get copies of
// your singleton appearing.
Randomizer(Randomizer const&); // Don't Implement
void operator=(Randomizer const&); // Don't implement
public:
static Randomizer& get_instance(){
// The only instance of the class is created at the first call get_instance ()
// and will be destroyed only when the program exits
static Randomizer instance;
return instance;
}
bool method() { return true; };
int rand(unsigned int floor, unsigned int ceil){
random::uniform_int_distribution<> rand_ = random::uniform_int_distribution<> (floor,ceil);
return (rand_(rng_));
}
// Is not considering the millisecons
time_duration rand_time_duration(){
boost::posix_time::time_duration floor(0, 0, 0, 0);
boost::posix_time::time_duration ceil(23, 59, 59, 0);
unsigned int rand_seconds = rand(floor.total_seconds(), ceil.total_seconds());
return seconds(rand_seconds);
}
date rand_date_from_epoch_to_now(){
date now = second_clock::local_time().date();
return rand_date_from_epoch_to_ceil(now);
}
date rand_date_from_epoch_to_ceil(date ceil_date){
date epoch = ptime(date(1970,1,1)).date();
return rand_date_in_interval(epoch, ceil_date);
}
date rand_date_in_interval(date floor_date, date ceil_date){
return rand_ptime_in_interval(ptime(floor_date), ptime(ceil_date)).date();
}
ptime rand_ptime_from_epoch_to_now(){
ptime now = second_clock::local_time();
return rand_ptime_from_epoch_to_ceil(now);
}
ptime rand_ptime_from_epoch_to_ceil(ptime ceil_date){
ptime epoch = ptime(date(1970,1,1));
return rand_ptime_in_interval(epoch, ceil_date);
}
ptime rand_ptime_in_interval(ptime floor_date, ptime ceil_date){
time_duration const diff = ceil_date - floor_date;
long long gap_seconds = diff.total_seconds();
long long step_seconds = Randomizer::get_instance().rand(0, gap_seconds);
return floor_date + seconds(step_seconds);
}
};
#include <iostream>
#include <cstdlib>
#include <ctime>
int main() {
srand(time(NULL));
int random_number = std::rand(); // rand() return a number between ​0​ and RAND_MAX
std::cout << random_number;
return 0;
}
http://en.cppreference.com/w/cpp/numeric/random/rand
Can get full Randomer class code for generating random numbers from here!
If you need random numbers in different parts of the project you can create a separate class Randomer to incapsulate all the random stuff inside it.
Something like that:
class Randomer {
// random seed by default
std::mt19937 gen_;
std::uniform_int_distribution<size_t> dist_;
public:
/* ... some convenient ctors ... */
Randomer(size_t min, size_t max, unsigned int seed = std::random_device{}())
: gen_{seed}, dist_{min, max} {
}
// if you want predictable numbers
void SetSeed(unsigned int seed) {
gen_.seed(seed);
}
size_t operator()() {
return dist_(gen_);
}
};
Such a class would be handy later on:
int main() {
Randomer randomer{0, 10};
std::cout << randomer() << "\n";
}
You can check this link as an example how i use such Randomer class to generate random strings. You can also use Randomer if you wish.
Generate a different random number each time, not the same one six times in a row.
Use case scenario
I likened Predictability's problem to a bag of six bits of paper, each with a value from 0 to 5 written on it. A piece of paper is drawn from the bag each time a new value is required. If the bag is empty, then the numbers are put back into the bag.
...from this, I can create an algorithm of sorts.
Algorithm
A bag is usually a Collection. I chose a bool[] (otherwise known as a boolean array, bit plane or bit map) to take the role of the bag.
The reason I chose a bool[] is because the index of each item is already the value of each piece of paper. If the papers required anything else written on them then I would have used a Dictionary<string, bool> in its place. The boolean value is used to keep track of whether the number has been drawn yet or not.
A counter called RemainingNumberCount is initialised to 5 that counts down as a random number is chosen. This saves us from having to count how many pieces of paper are left each time we wish to draw a new number.
To select the next random value I'm using a for..loop to scan through the bag of indexes, and a counter to count off when an index is false called NumberOfMoves.
NumberOfMoves is used to choose the next available number. NumberOfMoves is first set to be a random value between 0 and 5, because there are 0..5 available steps we can make through the bag. On the next iteration NumberOfMoves is set to be a random value between 0 and 4, because there are now 0..4 steps we can make through the bag. As the numbers are used, the available numbers reduce so we instead use rand() % (RemainingNumberCount + 1) to calculate the next value for NumberOfMoves.
When the NumberOfMoves counter reaches zero, the for..loop should as follows:
Set the current Value to be the same as for..loop's index.
Set all the numbers in the bag to false.
Break from the for..loop.
Code
The code for the above solution is as follows:
(put the following three blocks into the main .cpp file one after the other)
#include "stdafx.h"
#include <ctime>
#include <iostream>
#include <string>
class RandomBag {
public:
int Value = -1;
RandomBag() {
ResetBag();
}
void NextValue() {
int BagOfNumbersLength = sizeof(BagOfNumbers) / sizeof(*BagOfNumbers);
int NumberOfMoves = rand() % (RemainingNumberCount + 1);
for (int i = 0; i < BagOfNumbersLength; i++)
if (BagOfNumbers[i] == 0) {
NumberOfMoves--;
if (NumberOfMoves == -1)
{
Value = i;
BagOfNumbers[i] = 1;
break;
}
}
if (RemainingNumberCount == 0) {
RemainingNumberCount = 5;
ResetBag();
}
else
RemainingNumberCount--;
}
std::string ToString() {
return std::to_string(Value);
}
private:
bool BagOfNumbers[6];
int RemainingNumberCount;
int NumberOfMoves;
void ResetBag() {
RemainingNumberCount = 5;
NumberOfMoves = rand() % 6;
int BagOfNumbersLength = sizeof(BagOfNumbers) / sizeof(*BagOfNumbers);
for (int i = 0; i < BagOfNumbersLength; i++)
BagOfNumbers[i] = 0;
}
};
A Console class
I create this Console class because it makes it easy to redirect output.
Below in the code...
Console::WriteLine("The next value is " + randomBag.ToString());
...can be replaced by...
std::cout << "The next value is " + randomBag.ToString() << std::endl;
...and then this Console class can be deleted if desired.
class Console {
public:
static void WriteLine(std::string s) {
std::cout << s << std::endl;
}
};
Main method
Example usage as follows:
int main() {
srand((unsigned)time(0)); // Initialise random seed based on current time
RandomBag randomBag;
Console::WriteLine("First set of six...\n");
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
Console::WriteLine("\nSecond set of six...\n");
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
Console::WriteLine("\nThird set of six...\n");
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
randomBag.NextValue();
Console::WriteLine("The next value is " + randomBag.ToString());
Console::WriteLine("\nProcess complete.\n");
system("pause");
}
Example output
When I ran the program, I got the following output:
First set of six...
The next value is 2
The next value is 3
The next value is 4
The next value is 5
The next value is 0
The next value is 1
Second set of six...
The next value is 3
The next value is 4
The next value is 2
The next value is 0
The next value is 1
The next value is 5
Third set of six...
The next value is 4
The next value is 5
The next value is 2
The next value is 0
The next value is 3
The next value is 1
Process complete.
Press any key to continue . . .
Closing statement
This program was written using Visual Studio 2017, and I chose to make it a Visual C++ Windows Console Application project using .Net 4.6.1.
I'm not doing anything particularly special here, so the code should work on earlier versions of Visual Studio too.
A very opinionated answer
The c++ <random> library violates one of the best principles of software engineering: "Simple things done simple, complex, uncommon things can be a bit more complex."
Instead, they make even the simple and common use cases overly complex, just because they suffer from a cultural disease, fearing comments like "This is not general enough."
As a result, now whenever you want a simple random number, you have to look into the documentation, read stack overflow with walls of text, glorifying this terrible design, instead of it just being an easy-to-remember one or 2 liner. (Common Lisp is more pragmatic: (random 5) yields uniformly distributed integers from 0..4 and (random 1.0) yields real numbers between 0.0..1.0. That is the most common use case and it is at your finger tips. If you need more sophisticated stuff, you have to find packages and libraries or do it yourself.)
Just calculate the across the globe accrued man hours of everyone wasting time on understanding that header and its contents to see how bad it is.
Even I am wasting my time now, writing this answer and you waste your time, reading it, just because they created a piece of complex puzzle, which is in kindred spirit with other modern abominations, such as the Vulkan API.
So, how to cope with it? Waste your time once, write yourself a header file for your most common use cases and then just re-use it whenever you need it.
Here is a solution. Create a function that returns the random number and place it
outside the main function to make it global. Hope this helps
#include <iostream>
#include <cstdlib>
#include <ctime>
int rollDie();
using std::cout;
int main (){
srand((unsigned)time(0));
int die1;
int die2;
for (int n=10; n>0; n--){
die1 = rollDie();
die2 = rollDie();
cout << die1 << " + " << die2 << " = " << die1 + die2 << "\n";
}
system("pause");
return 0;
}
int rollDie(){
return (rand()%6)+1;
}
This code produces random numbers from n to m.
int random(int from, int to){
return rand() % (to - from + 1) + from;
}
example:
int main(){
srand(time(0));
cout << random(0, 99) << "\n";
}
for random every RUN file
size_t randomGenerator(size_t min, size_t max) {
std::mt19937 rng;
rng.seed(std::random_device()());
//rng.seed(std::chrono::high_resolution_clock::now().time_since_epoch().count());
std::uniform_int_distribution<std::mt19937::result_type> dist(min, max);
return dist(rng);
}
I know how to generate random number in C++ without using any headers, compiler intrinsics or whatever.
#include <cstdio> // Just for printf
int main() {
auto val = new char[0x10000];
auto num = reinterpret_cast<unsigned long long>(val);
delete[] val;
num = num / 0x1000 % 10;
printf("%llu\n", num);
}
I got the following stats after run for some period of time:
0: 5268
1: 5284
2: 5279
3: 5242
4: 5191
5: 5135
6: 5183
7: 5236
8: 5372
9: 5343
Looks random.
How it works:
Modern compilers protect you from buffer overflow using ASLR (address space layout randomization).
So you can generate some random numbers without using any libraries, but it is just for fun. Do not use ASLR like that.
Here my 5 cents:
// System includes
#include <iostream>
#include <algorithm>
#include <chrono>
#include <random>
// Application includes
// Namespace
using namespace std;
// Constants
#define A_UNUSED(inVariable) (void)inVariable;
int main(int inCounter, char* inArguments[]) {
A_UNUSED(inCounter);
A_UNUSED(inArguments);
std::random_device oRandomDevice;
mt19937_64 oNumber;
std::mt19937_64::result_type oSeed;
std::mt19937_64::result_type oValue1;
std::mt19937_64::result_type oValue2;
for (int i = 0; i < 20; i++) {
oValue1 = (std::mt19937_64::result_type) std::chrono::duration_cast<std::chrono::seconds>(
std::chrono::system_clock::now().time_since_epoch()
).count();
oValue2 = (std::mt19937_64::result_type) std::chrono::duration_cast<std::chrono::microseconds>(
std::chrono::system_clock::now().time_since_epoch()
).count();
oSeed = oRandomDevice() ^ (oValue1 + oValue2);
oNumber.seed(oSeed);
cout << "oNumber: " << oNumber << "\n";
cout << "oNumber.default_seed: " << oNumber.default_seed << "\n";
cout << "oNumber.initialization_multiplier: " << oNumber.initialization_multiplier << "\n";
cout << "oNumber.mask_bits: " << oNumber.mask_bits << "\n";
cout << "oNumber.max(): " << oNumber.max() << "\n";
cout << "oNumber.min(): " << oNumber.min() << "\n";
cout << "oNumber.shift_size: " << oNumber.shift_size << "\n";
cout << "oNumber.state_size: " << oNumber.state_size << "\n";
cout << "oNumber.tempering_b: " << oNumber.tempering_b << "\n";
cout << "oNumber.tempering_c: " << oNumber.tempering_c << "\n";
cout << "oNumber.tempering_d: " << oNumber.tempering_d << "\n";
cout << "oNumber.tempering_l: " << oNumber.tempering_l << "\n";
cout << "oNumber.tempering_s: " << oNumber.tempering_s << "\n";
cout << "oNumber.tempering_t: " << oNumber.tempering_t << "\n";
cout << "oNumber.tempering_u: " << oNumber.tempering_u << "\n";
cout << "oNumber.word_size: " << oNumber.word_size << "\n";
cout << "oNumber.xor_mask: " << oNumber.xor_mask << "\n";
cout << "oNumber._Max: " << oNumber._Max << "\n";
cout << "oNumber._Min: " << oNumber._Min << "\n";
}
cout << "Random v2" << endl;
return 0;
}
Here is a simple random generator with approx. equal probability of generating positive and negative values around 0:
int getNextRandom(const size_t lim)
{
int nextRand = rand() % lim;
int nextSign = rand() % lim;
if (nextSign < lim / 2)
return -nextRand;
return nextRand;
}
int main()
{
srand(time(NULL));
int r = getNextRandom(100);
cout << r << endl;
return 0;
}