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      std::normal_distribution

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

      Generates random numbers according to theNormal (or Gaussian) random number distribution. It is defined as:

      \(\small{f(x;\mu,\sigma)}=\frac{1}{\sigma\sqrt{2\pi} }\exp{(-\frac{1}{2}{(\frac{x-\mu}{\sigma})}^2)}\)f(x; μ,σ) =
      1
      σ
      exp

      -1
      2


      x-μ
      σ


      2


      Here\(\small\mu\)μ is theMean and\(\small\sigma\)σ is theStandard deviation (stddev).

      std::normal_distribution satisfies all requirements ofRandomNumberDistribution.

      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 the distribution parameters
      (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 <cmath>#include <iomanip>#include <iostream>#include <map>#include <random>#include <string> int main(){std::random_device rd{};std::mt19937 gen{rd()}; // Values near the mean are the most likely. Standard deviation// affects the dispersion of generated values from the mean.    std::normal_distribution d{5.0,2.0}; // Draw a sample from the normal distribution and round it to an integer.auto random_int=[&d,&gen]{returnstd::lround(d(gen));}; std::map<long,unsigned> histogram{};for(auto n{10000}; n;--n)++histogram[random_int()]; for(constauto[k, v]: histogram)std::cout<<std::setw(2)<< k<<' '<<std::string(v/200,'*')<<'\n';}

      Possible output:

      -1 0 1 * 2 *** 3 ***** 4 ******** 5 ********* 6 ********* 7 ****** 8 *** 9 *1011

      [edit]External links

      1. Weisstein, Eric W. "Normal Distribution." From MathWorld — A Wolfram Web Resource.
      2. Normal distribution — From Wikipedia.
      Retrieved from "https://en.cppreference.com/mwiki/index.php?title=cpp/numeric/random/normal_distribution&oldid=179823"

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