std::normal_distribution

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Pseudo-random number generation
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normal_distribution (C++11)
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C library
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RAND_MAX
 
 
Defined in header <random>
template< class RealType = double >
class normal_distribution;
(since C++11)

Normal (or Guassian) random number distribution:

f(x; μ,σ) =
1
σ
exp

-
1
2


x-μ
σ


2


With the mean μ and the standard deviation (stddev) σ.

Contents

[edit] Member types

Member type Definition
result_type RealType
param_type the type of the parameter set, unspecified

[edit] Member functions

constructs new distribution
(public member function)
resets the internal state of the distribution
(public member function)
Generation
generates the next random number in the distribution
(public member function)
Characteristics
returns the mean (μ) distribution parameter
(public member function)
returns the standard deviation (σ) distribution parameter
(public member function)
gets or sets the distribution parameter object
(public member function)
returns the minimum potentially generated value
(public member function)
returns the maximum potentially generated value
(public member function)

[edit] Non-member functions

compares two distribution objects
(function)
performs stream input and output on pseudo-random number distribution
(function)

[edit] Example

#include <iostream>
#include <iomanip>
#include <string>
#include <map>
#include <random>
#include <cmath>
int main()
{
    std::random_device rd;
    std::mt19937 gen(rd());
 
    // values near the mean are the most likely
    // standard deviation affects the dispersion of generated values from the mean
    std::normal_distribution<> d(5,2);
 
    std::map<int, int> hist;
    for(int n=0; n<10000; ++n) {
        ++hist[std::round(d(gen))];
    }
    for(auto p : hist) {
        std::cout << std::fixed << std::setprecision(1) << std::setw(2)
                  << p.first << ' ' << std::string(p.second/200, '*') << '\n';
    }
}

Output:

-2 
-1 
 0 
 1 *
 2 ***
 3 ******
 4 ********
 5 **********
 6 ********
 7 *****
 8 ***
 9 *
10 
11 
12

[edit] External links