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      std::poisson_distribution

      From cppreference.com
      <cpp‎ |numeric‎ |random
       
       
       
      Pseudo-random number generation
       
       
      Defined in header<random>
      template<class IntType=int>
      class poisson_distribution;
      (since C++11)

      Produces random non-negative integer valuesi, distributed according to discrete probability function:

      \(P(i | \mu) = \frac{e^{-\mu}\mu^i}{i!}\)P(i|μ) =
      e
      ·μi
      i!

      The value obtained is the probability of exactlyi occurrences of a random event if the expected,mean number of its occurrence under the same conditions (on the same time/space interval) isμ.

      std::poisson_distribution satisfiesRandomNumberDistribution.

      Contents

      [edit]Template parameters

      IntType - The result type generated by the generator. The effect is undefined if this is not one ofshort,int,long,longlong,unsignedshort,unsignedint,unsignedlong, orunsignedlonglong.

      [edit]Member types

      Member type Definition
      result_type(C++11)IntType
      param_type(C++11) the type of the parameter set, seeRandomNumberDistribution.

      [edit]Member functions

      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 themean distribution parameter (mean number of occurrences of the event)
      (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]
      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()); // If an event occurs 4 times a minute on average, how// often is it that it occurs n times in one minute?    std::poisson_distribution<> d(4); std::map<int,int> hist;for(int n=0; n!=10000;++n)++hist[d(gen)]; for(auto[x, y]: hist)std::cout<<std::hex<< x<<' '<<std::string(y/100,'*')<<'\n';}

      Possible output:

      0 *1 *******2 **************3 *******************4 *******************5 ***************6 **********7 *****8 **9 *abcd

      [edit]External links

      Weisstein, Eric W. "Poisson Distribution." From MathWorld — A Wolfram Web Resource.
      Retrieved from "https://en.cppreference.com/mwiki/index.php?title=cpp/numeric/random/poisson_distribution&oldid=178564"

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