[rand.dist.bern.bin]

A binomial_distribution random number distribution produces integer values i ≥ 0 distributed according to the discrete probability function in Formula 29.5 .

\begin{matrix} P (i | t, p) = (\frac{t i) \cdot {p i \cdot (1 - p {) t - i (29.5)}^{t - i (29.5)}}^{i \cdot (1 - p {) t - i (29.5)}^{t - i (29.5)}}}{i} \end{matrix}

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namespace std { template<class IntType = int> class binomial_distribution { public: / types using result_type = IntType; using param_type = unspecified; / constructors and reset functions binomial_distribution() : binomial_distribution(1) {} explicit binomial_distribution(IntType t, double p = 0.5); explicit binomial_distribution(const param_type& parm); void reset(); / equality operators friend bool operator=(const binomial_distribution& x, const binomial_distribution& y); / generating functions template<class URBG> result_type operator()(URBG& g); template<class URBG> result_type operator()(URBG& g, const param_type& parm); / property functions IntType t() const; double p() const; param_type param() const; void param(const param_type& parm); result_type min() const; result_type max() const; / inserters and extractors template<class charT, class traits> friend basic_ostream<charT, traits>& operator<(basic_ostream<charT, traits>& os, const binomial_distribution& x); template<class charT, class traits> friend basic_istream<charT, traits>& operator>(basic_istream<charT, traits>& is, binomial_distribution& x); }; }

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explicit binomial_distribution(IntType t, double p = 0.5);

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Remarks: t and p correspond to the respective parameters of the distribution.

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IntType t() const;

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Returns: The value of the t parameter with which the object was constructed.

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double p() const;

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Returns: The value of the p parameter with which the object was constructed.