.. SPDX-FileCopyrightText: 2019-2020 Intel Corporation .. .. SPDX-License-Identifier: CC-BY-4.0 .. _onemkl_rng_hypergeometric: hypergeometric ============== Class is used for generation of hypergeometrically distributed integer types random numbers. .. _onemkl_rng_hypergeometric_description: .. rubric:: Description The class object is used in the :ref:oneapi::mkl::rng::generate() function to provide random numbers hypergeometrically distributed with lot size :math:l, size of sampling :math:s, and number of marked elements in the lot :math:m, where :math:l, m, s \in N \bigcup \{0\}; l \ge max (s, m). Consider a lot of :math:l elements comprising :math:m marked and :math:l - :math:m unmarked elements. A trial sampling without replacement of exactly :math:s elements from this lot helps to define the hypergeometric distribution, which is the probability that the group of :math:s elements contains exactly :math:k marked elements. The probability distribution is given by: .. math:: P_(X = k) = \frac{C^k_mC^{s-k}_{l-m}}{C^s_l}, k \in \{max(0, s + m - l), ... , min(s, m)\}. The cumulative distribution function is as follows: .. math:: F_{l, s, m}(x) = \left\{ \begin{array}{rcl} 0, x < max(0, s + m - l) \\ \sum^{\lfloor x \rfloor}_{k = max(0, s + m - l)}\frac{C^k_mC^{s-k}_{l-m}}{C^s_l}, max(0, s + m - l) \leq x \leq min(s, m) \\ 1, x > min(s, m) \end{array}\right. .. _onemkl_rng_hypergeometric_syntax: class hypergeometric -------------------- .. rubric:: Syntax .. code-block:: cpp namespace oneapi::mkl::rng { template class hypergeometric { public: using method_type = Method; using result_type = IntType; hypergeometric(); explicit hypergeometric(std::int32_t l, std::int32_T s, std::int32_T m); std::int32_t s() const; std::int32_t m() const; std::int32_t l() const; }; } .. container:: section .. rubric:: Template parameters .. container:: section typename IntType Type of the produced values. Supported types: * std::int32_t * std::uint32_t .. container:: section typename Method = oneapi::mkl::rng::hypergeometric_method::by_default Transformation method, which will be used for generation. Supported types: * oneapi::mkl::rng::hypergeometric_method::by_default * oneapi::mkl::rng::hypergeometric_method::h2pe See description of the methods in :ref:Distributions methods template parameter. .. container:: section .. rubric:: Class Members .. list-table:: :header-rows: 1 * - Routine - Description * - hypergeometric()_ - Default constructor * - explicit hypergeometric(std::int32_t l, std::int32_T s, std::int32_T m)_ - Constructor with parameters * - std::int32_t s() const_ - Method to obtain lot size * - std::int32_t m() const_ - Method to obtain size of sampling without replacement * - std::int32_t l() const_ - Method to obtain number of marked elements .. container:: section .. rubric:: Member types .. container:: section .. code-block:: cpp hypergeometric::method_type = Method .. container:: section .. rubric:: Description The type which defines transformation method for generation. .. container:: section .. code-block:: cpp hypergeometric::result_type = IntType .. container:: section .. rubric:: Description The type which defines type of generated random numbers. .. container:: section .. rubric:: Constructors .. container:: section .. _hypergeometric(): .. code-block:: cpp hypergeometric::hypergeometric() .. container:: section .. rubric:: Description Default constructor for distribution, parameters set as l = 1, s = 1, m = 1. .. container:: section .. _explicit hypergeometric(std::int32_t l, std::int32_T s, std::int32_T m): .. code-block:: cpp explicit hypergeometric::hypergeometric(std::int32_t l, std::int32_T s, std::int32_T m) .. container:: section .. rubric:: Description Constructor with parameters. l is a lot size, s is a size of sampling without replacement, m is a number of marked elements. .. container:: section .. rubric:: Throws oneapi::mkl::invalid_argument Exception is thrown when :math:s < 0, or :math:m < 0, or :math:l < (s > m ? s : m) .. container:: section .. rubric:: Characteristics .. container:: section .. _std::int32_t l() const: .. code-block:: cpp std::int32_t hypergeometric::l() const .. container:: section .. rubric:: Return Value Returns the distribution parameter l - lot size value. .. container:: section .. _std::int32_t s() const: .. code-block:: cpp std::int32_t hypergeometric::s() const .. container:: section .. rubric:: Return Value Returns the distribution parameter s - size of sampling without replacement. .. container:: section .. _std::int32_t m() const: .. code-block:: cpp std::int32_t hypergeometric::m() const .. container:: section .. rubric:: Return Value Returns the distribution parameter m - number of marked elements. **Parent topic:** :ref:onemkl_rng_distributions