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std::weibull_distribution

Defined in header <random>
template<
    class RealType = double
> class weibull_distribution;
(since C++11)

The weibull_distribution meets the requirements of a RandomNumberDistribution and produces random numbers according to the Weibull distribution: \(\small{f(x;a,b)=\frac{a}{b}{(\frac{x}{b})}^{a-1}\exp{(-{(\frac{x}{b})}^{a})} }\)f(x;a,b) =

a/b

x/b

a-1
exp

⎝-

x/b

a


a is the shape parameter and b the scale parameter.

std::weibull_distribution satisfies RandomNumberDistribution.

Template parameters

RealType - The result type generated by the generator. The effect is undefined if this is not one of float, double, or long double.

Member types

Member type Definition
result_type (C++11) RealType
param_type (C++11) the type of the parameter set, see RandomNumberDistribution.

Member functions

(C++11)
constructs new distribution
(public member function)
(C++11)
resets the internal state of the distribution
(public member function)
Generation
(C++11)
generates the next random number in the distribution
(public member function)
Characteristics
(C++11)
returns the distribution parameters
(public member function)
(C++11)
gets or sets the distribution parameter object
(public member function)
(C++11)
returns the minimum potentially generated value
(public member function)
(C++11)
returns the maximum potentially generated value
(public member function)

Non-member functions

(C++11)(C++11)(removed in C++20)
compares two distribution objects
(function)
(C++11)
performs stream input and output on pseudo-random number distribution
(function template)

Example

#include <cmath>
#include <iomanip>
#include <iostream>
#include <map>
#include <random>
#include <string>
 
int main()
{
    std::random_device rd;
    std::mt19937 gen(rd());
 
    std::weibull_distribution<> d;
 
    std::map<int, int> hist;
    for (int n = 0; n != 10000; ++n)
        ++hist[std::round(d(gen))];
 
    std::cout << std::fixed << std::setprecision(1) << std::hex;
    for (auto [x, y]: hist)
        std::cout << x << ' ' << std::string(y / 200, '*') << '\n';
}

Possible output:

0 *******************
1 *******************
2 ******
3 **
4
5
6
7
8
1. Weisstein, Eric W. "Weibull Distribution." From MathWorld — A Wolfram Web Resource.
2. Weibull distribution — From Wikipedia.

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