26 Numerics library [numerics]

26.6 Random number generation [rand]

26.6.8 Random number distribution class templates [rand.dist]

26.6.8.3 Bernoulli distributions [rand.dist.bern]

26.6.8.3.1 Class bernoulli_­distribution [rand.dist.bern.bernoulli]

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A bernoulli_­distribution random number distribution produces bool values b distributed according to the discrete probability function 
class bernoulli_distribution {
public:
  // types
  using result_type = bool;
  using param_type  = unspecified;

  // constructors and reset functions
  bernoulli_distribution() : bernoulli_distribution(0.5) {}
  explicit bernoulli_distribution(double p);
  explicit bernoulli_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 p() const;
  param_type param() const;
  void param(const param_type& parm);
  result_type min() const;
  result_type max() const;
};
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explicit bernoulli_distribution(double p);
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Preconditions: .
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Remarks: p corresponds to the parameter of the distribution.
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double p() const;
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Returns: The value of the p parameter with which the object was constructed.

26.6.8.3.2 Class template binomial_­distribution [rand.dist.bern.bin]

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A binomial_­distribution random number distribution produces integer values distributed according to the discrete probability function
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();

    // 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;
  };
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explicit binomial_distribution(IntType t, double p = 0.5);
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Preconditions: and .
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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.

26.6.8.3.3 Class template geometric_­distribution [rand.dist.bern.geo]

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A geometric_­distribution random number distribution produces integer values distributed according to the discrete probability function 
template<class IntType = int>
  class geometric_distribution {
  public:
    // types
    using result_type = IntType;
    using param_type  = unspecified;

    // constructors and reset functions
    geometric_distribution() : geometric_distribution(0.5) {}
    explicit geometric_distribution(double p);
    explicit geometric_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 p() const;
    param_type param() const;
    void param(const param_type& parm);
    result_type min() const;
    result_type max() const;
  };
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explicit geometric_distribution(double p);
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Preconditions: .
3
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Remarks: p corresponds to the parameter of the distribution.
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double p() const;
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Returns: The value of the p parameter with which the object was constructed.

26.6.8.3.4 Class template negative_­binomial_­distribution [rand.dist.bern.negbin]

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A negative_­binomial_­distribution random number distribution produces random integers distributed according to the discrete probability function
[Note
:
This implies that is undefined when p == 1.
— end note
]
template<class IntType = int>
  class negative_binomial_distribution {
  public:
    // types
    using result_type = IntType;
    using param_type  = unspecified;

    // constructor and reset functions
    negative_binomial_distribution() : negative_binomial_distribution(1) {}
    explicit negative_binomial_distribution(IntType k, double p = 0.5);
    explicit negative_binomial_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
    IntType k() const;
    double p() const;
    param_type param() const;
    void param(const param_type& parm);
    result_type min() const;
    result_type max() const;
  };
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explicit negative_binomial_distribution(IntType k, double p = 0.5);
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Preconditions: and .
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Remarks: k and p correspond to the respective parameters of the distribution.
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IntType k() const;
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Returns: The value of the k 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.