[rand.dist.pois.poisson]

A poisson_distribution random number distribution produces integer values

i \geq 0

distributed according to the discrete probability function

P (i | μ) = \frac{e^{- μ} μ^{i}}{i!} .

The distribution parameter μ is also known as this distribution's mean.

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template<class IntType = int> class poisson_distribution { public: // types using result_type = IntType; using param_type = unspecified; // constructors and reset functions poisson_distribution() : poisson_distribution(1.0) {} explicit poisson_distribution(double mean); explicit poisson_distribution(const param_type& parm); void reset(); // generating functions template<class URBG> result_type operator()(URBG& g); template<class URBG> result_type operator()(URBG& g, const param_type& parm); // property functions double mean() const; param_type param() const; void param(const param_type& parm); result_type min() const; result_type max() const; };

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Preconditions: