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      std::extreme_value_distribution

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

      Produces random numbers according to theGeneralized extreme value distribution (it is also known as Gumbel Type I, log-Weibull, Fisher-Tippett Type I):

      \({\small p(x;a,b) = \frac{1}{b} \exp{(\frac{a-x}{b}-\exp{(\frac{a-x}{b})})} }\)p(x;a,b) =
      1
      b
      exp

      a-x
      b
      - exp

      a-x
      b




      std::extreme_value_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 <algorithm>#include <cmath>#include <iomanip>#include <iostream>#include <map>#include <random>#include <vector> template<int Height=5,int BarWidth=1,int Padding=1,int Offset=0,class Seq>void draw_vbars(Seq&& s,constbool DrawMinMax=true){    static_assert(0< Height and0< BarWidth and0<= Padding and0<= Offset); auto cout_n=[](auto&& v,int n=1){while(n-->0)std::cout<< v;}; constauto[min, max]=std::minmax_element(std::cbegin(s),std::cend(s)); std::vector<std::div_t> qr;for(typedef decltype(*std::cbegin(s)) V; V e: s)        qr.push_back(std::div(std::lerp(V(0),8* Height,(e-*min)/(*max-*min)),8)); for(auto h{Height}; h-->0; cout_n('\n')){        cout_n(' ', Offset); for(auto dv: qr){constauto q{dv.quot}, r{dv.rem};unsignedchar d[]{0xe2,0x96,0x88,0};// Full Block: '█'            q< h? d[0]=' ', d[1]=0: q== h? d[2]-=(7- r):0;            cout_n(d, BarWidth), cout_n(' ', Padding);} if(DrawMinMax&& Height>1)            Height-1== h?std::cout<<"┬ "<<*max:                          h?std::cout<<"│ ":std::cout<<"┴ "<<*min;}} int main(){std::random_device rd{};std::mt19937 gen{rd()};     std::extreme_value_distribution<> d{-1.618f,1.618f}; constint norm=10'000;    const float cutoff = 0.000'3f; std::map<int,int> hist{};for(int n=0; n!= norm;++n)++hist[std::round(d(gen))]; std::vector<float> bars;std::vector<int> indices;for(constauto&[n, p]: hist)if(constfloat x= p*(1.0f/ norm); x> cutoff){            bars.push_back(x);            indices.push_back(n);}     draw_vbars<8,4>(bars); for(int n: indices)std::cout<<' '<<std::setw(2)<< n<<"  ";std::cout<<'\n';}

      Possible output:

                     ████ ▅▅▅▅                                                        ┬ 0.2186               ████ ████                                                        │          ▁▁▁▁ ████ ████ ▇▇▇▇                                                   │          ████ ████ ████ ████                                                   │          ████ ████ ████ ████ ▆▆▆▆                                              │          ████ ████ ████ ████ ████ ▁▁▁▁                                         │     ▄▄▄▄ ████ ████ ████ ████ ████ ████ ▃▃▃▃                                    │▁▁▁▁ ████ ████ ████ ████ ████ ████ ████ ████ ▆▆▆▆ ▃▃▃▃ ▂▂▂▂ ▁▁▁▁ ▁▁▁▁ ▁▁▁▁ ▁▁▁▁ ┴ 0.0005 -5   -4   -3   -2   -1    0    1    2    3    4    5    6    7    8    9   10

      [edit]External links

      Weisstein, Eric W. "Extreme Value Distribution." From MathWorld — A Wolfram Web Resource.
      Retrieved from "https://en.cppreference.com/mwiki/index.php?title=cpp/numeric/random/extreme_value_distribution&oldid=160839"

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