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Basic linear algebra algorithms(C++26) | |||||||||||||||||||||||||||||||
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Complex numbers | |||||||||||||||||||||||||||||||
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Pseudo-random number generation | |||||||||||||||||||||||||||||||
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Factor operations | |||||||||||||||||||||||||||||||
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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 IntType=int> class binomial_distribution; | (since C++11) | |
Produces random non-negative integer valuesi, distributed according to discrete probability function:
The value obtained is the number of successes in a sequence oft yes/no experiments, each of which succeeds with probabilityp.
std::binomial_distribution
satisfiesRandomNumberDistribution.
Contents |
IntType | - | The result type generated by the generator. The effect is undefined if this is not one ofshort,int,long,longlong,unsignedshort,unsignedint,unsignedlong, orunsignedlonglong. |
Member type | Definition |
result_type (C++11) | IntType |
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] |
Plot of binomial distribution with probability of success of each trial exactly 0.5, illustrating the relationship with the pascal triangle (the probabilities that none, 1, 2, 3, or all four of the 4 trials will be successful in this case are 1:4:6:4:1).
#include <iomanip>#include <iostream>#include <map>#include <random>#include <string> int main(){std::random_device rd;std::mt19937 gen(rd());// perform 4 trials, each succeeds 1 in 2 times std::binomial_distribution<> d(4,0.5); std::map<int,int> hist;for(int n=0; n!=10000;++n)++hist[d(gen)]; for(autoconst&[x, y]: hist)std::cout<< x<<' '<<std::string(y/100,'*')<<'\n';}
Possible output:
0 ******1 ************************2 *************************************3 *************************4 ******
Weisstein, Eric W. "Binomial Distribution." From MathWorld — A Wolfram Web Resource. |