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      std::geometric_distribution

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

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

      \(P(i|p) = p \cdot (1-p)^i\)P(i|p) = p · (1 − p)i

      The value represents the number of failures in a series of independent yes/no trials (each succeeds with probability p), before exactly 1 success occurs.

      std::geometric_distribution<>(p) is exactly equivalent tostd::negative_binomial_distribution<>(1, p). It is also the discrete counterpart ofstd::exponential_distribution.

      std::geometric_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 thep distribution parameter (probability of a trial generatingtrue)
      (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

      std::geometric_distribution<>(0.5) is the default and represents the number of coin tosses that are required to get heads.

      Run this code
      #include <iomanip>#include <iostream>#include <map>#include <random>#include <string> int main(){std::random_device rd;std::mt19937 gen(rd());     std::geometric_distribution<> d;// same as// std::negative_binomial_distribution<> d(1, 0.5): std::map<int,int> hist;for(int n=0; n!=10000;++n)++hist[d(gen)]; for(auto[x, y]: hist){constchar c= x<10? x+'0': x-10+'a';std::cout<< c<<' '<<std::string(y/100,'*')<<'\n';}}

      Possible output:

      0 *************************************************1 *************************2 ************3 ******4 **5 *6789

      [edit]External links

      Weisstein, Eric W. "Geometric Distribution." From MathWorld — A Wolfram Web Resource.
      Retrieved from "https://en.cppreference.com/mwiki/index.php?title=cpp/numeric/random/geometric_distribution&oldid=160835"

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