std::lognormal_distribution

 

C++

Language

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Utilities library

Strings library

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Algorithms library

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Numerics library

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Regular expressions library (C++11)

Atomic operations library (C++11)

Thread support library (C++11)

Technical Specifications

 

Numerics library

Common mathematical functions

Floating-point environment

Complex numbers

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iota (C++11)

accumulate

inner_product

adjacent_difference

partial_sum

 

Pseudo-random number generation

Engines and engine adaptors

linear_congruential_engine (C++11)

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independent_bits_engine (C++11)

shuffle_order_engine (C++11)

Generators

random_device (C++11)

Distributions

Uniform distributions

uniform_int_distribution (C++11)

uniform_real_distribution (C++11)

generate_canonical (C++11)

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bernoulli_distribution (C++11)

binomial_distribution (C++11)

negative_binomial_distribution (C++11)

geometric_distribution (C++11)

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poisson_distribution (C++11)

exponential_distribution (C++11)

gamma_distribution (C++11)

weibull_distribution (C++11)

extreme_value_distribution (C++11)

Normal distributions

normal_distribution (C++11)

lognormal_distribution (C++11)

chi_squared_distribution (C++11)

cauchy_distribution (C++11)

fisher_f_distribution (C++11)

student_t_distribution (C++11)

Sampling distributions

discrete_distribution (C++11)

piecewise_constant_distribution (C++11)

piecewise_linear_distribution (C++11)

Seed Sequences

seed_seq (C++11)

C library

rand

srand

RAND_MAX

 

std::lognormal_distribution

Member functions

lognormal_distribution::lognormal_distribution

lognormal_distribution::reset

Generation

lognormal_distribution::operator()

Characteristics

lognormal_distribution::mlognormal_distribution::s

lognormal_distribution::param

lognormal_distribution::min

lognormal_distribution::max

Non-member functions

operator==operator!=

operator<<operator>>

 

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:

f(x; m,s) =

1

sx√2 π

exp⎛
⎜
⎝-

(ln x - m)2

2s2

⎞
⎟
⎠

The parameter m is the mean and the parameter s the standard deviation.

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	RealType
param_type	the type of the parameter set, see RandomNumberDistribution.

Member functions

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

Non-member functions

operator==operator!=	compares two distribution objects (function)
operator<<operator>>	performs stream input and output on pseudo-random number distribution (function template)

Example

Run this code

#include <iostream>
#include <iomanip>
#include <string>
#include <map>
#include <random>
#include <cmath>
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<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 
 3 ***
 4 *************
 5 ***************
 6 *********
 7 ****
 8 *
 9 
10 
11 
12

External links

• Weisstein, Eric W. "Log Normal Distribution." From MathWorld--A Wolfram Web Resource.
• Log-normal distribution. From Wikipedia.