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Difference between revisions of "cpp/numeric/random/bernoulli distribution"

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< cpp‎ | numeric‎ | random
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:{{math|1=P(b{{!}}p) =}}{{mparen|{||{{math|p}}, if {{math|b}} is {{co|true}}|{{math|1 − p}}, if {{math|b}} is {{co|false}}|style=text-align:right}}
  
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===Member types===
 
===Member types===
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===Non-member functions===
 
===Non-member functions===
 
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{{dsc inc|cpp/numeric/random/distribution/dsc operator_cmp|bernoulli_distribution}}
 
{{dsc inc|cpp/numeric/random/distribution/dsc operator_ltltgtgt|bernoulli_distribution}}
 
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Latest revision as of 23:26, 16 October 2023

 
C++
 
Numerics library
Common mathematical functions
Mathematical special functions (C++17)
Mathematical constants (C++20)
Basic linear algebra algorithms (C++26)
Floating-point environment (C++11)
Complex numbers
Numeric array (valarray)
Pseudo-random number generation
Factor operations
(C++17)
(C++17)
Interpolations
(C++20)
(C++20)
Saturation arithmetic
(C++26)
(C++26)
(C++26)
(C++26)
(C++26)

Generic numeric operations
Bit operations
(C++20)    
(C++20)
(C++20)
(C++20)
(C++20)
(C++20)
(C++20)
(C++20)
(C++20)
(C++20)
(C++20)
(C++20)
(C++23)
(C++20)
 
Pseudo-random number generation
 
std::bernoulli_distribution
 
Defined in header <random>
class bernoulli_distribution;
 (since C++11)

Produces random boolean values, according to the discrete probability function. The probability of true is

P(b|p) =⎧
⎨
⎩p, if b is true
1 − p, if b is false

std::bernoulli_distribution satisfies RandomNumberDistribution.

Contents

[edit] Member types

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

[edit] Member functions

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

[edit] Non-member functions

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

[edit] Example

Run this code
#include <iomanip>
#include <iostream>
#include <map>
#include <random>
#include <string>
 
int main()
{
    std::random_device rd;
    std::mt19937 gen(rd());
    // give "true" 1/4 of the time
    // give "false" 3/4 of the time
    std::bernoulli_distribution d(0.25);
 
    std::map<bool, int> hist;
    for (int n = 0; n < 10000; ++n)
        ++hist[d(gen)];
 
    std::cout << std::boolalpha;
    for (auto const& [key, value] : hist)
        std::cout << std::setw(5) << key << ' '
                  << std::string(value / 500, '*') << '\n';
}

Possible output: 

false ***************
 true ****

[edit] External links

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