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      std::exponential_distribution

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

      Produces random non-negative floating-point values\(\small x\)x, distributed according to probability density function:

      \(\small P(x|\lambda) = \lambda e^{-\lambda x}\)P(x|λ) = λe-λx

      The value obtained is the time/distance until the next random event if random events occur at constant rate\(\small\lambda\)λ per unit of time/distance. For example, this distribution describes the time between the clicks of a Geiger counter or the distance between point mutations in a DNA strand.

      This is the continuous counterpart ofstd::geometric_distribution.

      std::exponential_distribution satisfiesRandomNumberDistribution.

      Contents

      [edit]Template parameters

      RealType - The result type generated by the generator. The effect is undefined if this is not one offloat,double, orlongdouble.

      [edit]Member types

      Member type Definition
      result_type(C++11)RealType
      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 thelambda distribution parameter (rate of events)
      (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]Notes

      Some implementations may occasionally return infinity ifRealType isfloat. This isLWG issue 2524.

      [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 particles decay once per second on average,// how much time, in seconds, until the next one?    std::exponential_distribution<> d(1); std::map<int,int> hist;for(int n=0; n!=10000;++n)++hist[2* d(gen)]; for(autoconst&[x, y]: hist)std::cout<<std::fixed<<std::setprecision(1)<< x/2.0<<'-'<<(x+1)/2.0<<' '<<std::string(y/200,'*')<<'\n';}

      Possible output:

      0.0-0.5 *******************0.5-1.0 ***********1.0-1.5 *******1.5-2.0 ****2.0-2.5 **2.5-3.0 *3.0-3.53.5-4.0

      [edit]External links

      Weisstein, Eric W. "Exponential Distribution." From MathWorld — A Wolfram Web Resource.
      Retrieved from "https://en.cppreference.com/mwiki/index.php?title=cpp/numeric/random/exponential_distribution&oldid=160836"

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