std::extreme_value_distribution(3)

NAME
std::extreme_value_distribution - std::extreme_value_distribution

Synopsis
   Defined in header <random>
   template< class RealType = double > (since C++11)
   class extreme_value_distribution;
   Produces random numbers according to the Generalized 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 of
   RandomNumberDistribution.

Template parameters
   RealType - The result type generated by the generator. The effect is undefined if
              this is not one of float, double, or long double.

Member types
   Member type Definition
   result_type (C++11) RealType
   param_type (C++11) the type of the parameter set, see RandomNumberDistribution.

Member functions
   constructor constructs new distribution
   (C++11) (public member function)
   reset resets the internal state of the distribution
   (C++11) (public member function)

Generation
   operator() generates the next random number in the distribution
   (C++11) (public member function)

Characteristics
   a returns the distribution parameters
   b (public member function)
   (C++11)
   param gets or sets the distribution parameter object
   (C++11) (public member function)
   min returns the minimum potentially generated value
   (C++11) (public member function)
   max returns the maximum potentially generated value
   (C++11) (public member function)

Non-member functions
   operator==
   operator!= compares two distribution objects
   (C++11) (function)
   (C++11)(removed in C++20)
   operator<< performs stream input and output on pseudo-random number
   operator>> distribution
   (C++11) (function template)

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, const bool DrawMinMax = true)
 {
     static_assert(0 < Height and 0 < BarWidth and 0 <= Padding and 0 <= Offset);
     auto cout_n = [](auto&& v, int n = 1)
     {
         while (n-- > 0)
             std::cout << v;
     };
     const auto [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)
         {
             const auto q{dv.quot}, r{dv.rem};
             unsigned char 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};
     const int 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 (const auto& [n, p] : hist)
         if (const float 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

External links
   Weisstein, Eric W. "Extreme Value Distribution." From MathWorld — A Wolfram Web
   Resource.