Common mathematical functions | |||||||||||||||||||||||||||||||
Mathematical special functions(C++17) | |||||||||||||||||||||||||||||||
Mathematical constants(C++20) | |||||||||||||||||||||||||||||||
Basic linear algebra algorithms(C++26) | |||||||||||||||||||||||||||||||
Data-parallel types (SIMD)(C++26) | |||||||||||||||||||||||||||||||
Floating-point environment(C++11) | |||||||||||||||||||||||||||||||
Complex numbers | |||||||||||||||||||||||||||||||
Numeric array (valarray ) | |||||||||||||||||||||||||||||||
Pseudo-random number generation | |||||||||||||||||||||||||||||||
Bit manipulation(C++20) | |||||||||||||||||||||||||||||||
Saturation arithmetic(C++26) | |||||||||||||||||||||||||||||||
Factor operations | |||||||||||||||||||||||||||||||
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Interpolations | |||||||||||||||||||||||||||||||
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Generic numeric operations | |||||||||||||||||||||||||||||||
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C-style checked integer arithmetic | |||||||||||||||||||||||||||||||
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Member functions | ||||
Generation | ||||
Characteristics | ||||
Non-member functions | ||||
(C++11)(C++11)(until C++20) | ||||
(C++11)(C++11) |
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):
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std::extreme_value_distribution
satisfies all requirements ofRandomNumberDistribution.
Contents |
RealType | - | The result type generated by the generator. The effect is undefined if this is not one offloat,double, orlongdouble. |
Member type | Definition |
result_type (C++11) | RealType |
param_type (C++11) | the type of the parameter set, seeRandomNumberDistribution. |
(C++11) | 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] |
(C++11)(C++11)(removed in C++20) | compares two distribution objects (function)[edit] |
(C++11) | performs stream input and output on pseudo-random number distribution (function template)[edit] |
#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
Weisstein, Eric W. "Extreme Value Distribution." From MathWorld — A Wolfram Web Resource. |