std::lognormal_distribution

 

C++

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std::lognormal_distribution

Member functions

lognormal_distribution::lognormal_distribution (C++11)

lognormal_distribution::reset (C++11)

Generation

lognormal_distribution::operator() (C++11)

Characteristics

lognormal_distribution::mlognormal_distribution::s (C++11)(C++11)

lognormal_distribution::param (C++11)

lognormal_distribution::min (C++11)

lognormal_distribution::max (C++11)

Non-member functions

operator==operator!= (C++11)(C++11)(until C++20)

operator<<operator>> (C++11)(C++11)

 

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

The lognormal_distribution random number distribution produces random numbers x > 0 according to a Log-normal distribution:

\({\small f(x;m,s) = \frac{1}{sx\sqrt{2\pi} } \exp{(-\frac{ {(\ln{x} - m)}^{2} }{2{s}^{2} })} }\)f(x; m,s) =

1

sx√2 π

exp⎛
⎜
⎝-

(ln x - m)2

2s2

⎞
⎟
⎠

The parameters m and s are, respectively, the mean and standard deviation of the natural logarithm of x.

std::lognormal_distribution satisfies all requirements of 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

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

Non-member functions

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

Example

Run this code

#include <cmath>
#include <iomanip>
#include <iostream>
#include <map>
#include <random>
#include <string>
 
int main()
{
    std::random_device rd;
    std::mt19937 gen(rd());
 
    std::lognormal_distribution<> d(1.6, 0.25);
 
    std::map<int, int> hist;
    for (int n = 0; n < 1e4; ++n)
        ++hist[std::round(d(gen))];
 
    for (std::cout << std::fixed << std::setprecision(1); auto [x, y] : hist)
        std::cout << std::hex << x << ' ' << std::string(y / 200, '*') << '\n';
}

Possible output:

2
3 ***
4 *************
5 ***************
6 *********
7 ****
8 *
9
a
b
c

External links

Weisstein, Eric W. "Log Normal Distribution." From MathWorld — A Wolfram Web Resource.