.. index:: single: univariate_distributions(Random)
.. _univariate_distributions/1:

.. rst-class:: right

**object**

``univariate_distributions(Random)``
====================================

* ``Random`` - An object implementing the ``sampling_protocol`` protocol.


Univariate probability distributions using an injected random source.

| **Availability:** 
|    ``logtalk_load(univariate_distributions(loader))``

| **Author:** Paulo Moura
| **Version:** 1:0:0
| **Date:** 2026-08-12

| **Compilation flags:**
|    ``static, context_switching_calls``


| **Implements:**
|    ``public`` :ref:`univariate_distributions_protocol <univariate_distributions_protocol/0>`
| **Uses:**
|    :ref:`type <type/0>`

| **Remarks:**

   - Normal cumulative distribution: Uses the Abramowitz and Stegun formula 26.2.17 approximation.
   - Normal quantile: Uses the Peter J. Acklam rational approximation.

| **Inherited public predicates:**
|     :ref:`univariate_distributions_protocol/0::beta/3`  :ref:`univariate_distributions_protocol/0::beta_density/4`  :ref:`univariate_distributions_protocol/0::beta_distribution/4`  :ref:`univariate_distributions_protocol/0::beta_log_density/4`  :ref:`univariate_distributions_protocol/0::beta_quantile/4`  :ref:`univariate_distributions_protocol/0::beta_samples/4`  :ref:`univariate_distributions_protocol/0::chi_squared/2`  :ref:`univariate_distributions_protocol/0::chi_squared_density/3`  :ref:`univariate_distributions_protocol/0::chi_squared_distribution/3`  :ref:`univariate_distributions_protocol/0::chi_squared_log_density/3`  :ref:`univariate_distributions_protocol/0::chi_squared_quantile/3`  :ref:`univariate_distributions_protocol/0::chi_squared_samples/3`  :ref:`univariate_distributions_protocol/0::exponential/2`  :ref:`univariate_distributions_protocol/0::exponential_density/3`  :ref:`univariate_distributions_protocol/0::exponential_distribution/3`  :ref:`univariate_distributions_protocol/0::exponential_log_density/3`  :ref:`univariate_distributions_protocol/0::exponential_quantile/3`  :ref:`univariate_distributions_protocol/0::exponential_samples/3`  :ref:`univariate_distributions_protocol/0::fisher/3`  :ref:`univariate_distributions_protocol/0::fisher_density/4`  :ref:`univariate_distributions_protocol/0::fisher_distribution/4`  :ref:`univariate_distributions_protocol/0::fisher_log_density/4`  :ref:`univariate_distributions_protocol/0::fisher_quantile/4`  :ref:`univariate_distributions_protocol/0::fisher_samples/4`  :ref:`univariate_distributions_protocol/0::gamma/3`  :ref:`univariate_distributions_protocol/0::gamma_density/4`  :ref:`univariate_distributions_protocol/0::gamma_distribution/4`  :ref:`univariate_distributions_protocol/0::gamma_log_density/4`  :ref:`univariate_distributions_protocol/0::gamma_quantile/4`  :ref:`univariate_distributions_protocol/0::gamma_samples/4`  :ref:`univariate_distributions_protocol/0::normal/3`  :ref:`univariate_distributions_protocol/0::normal_density/4`  :ref:`univariate_distributions_protocol/0::normal_distribution/4`  :ref:`univariate_distributions_protocol/0::normal_log_density/4`  :ref:`univariate_distributions_protocol/0::normal_quantile/4`  :ref:`univariate_distributions_protocol/0::normal_samples/4`  :ref:`univariate_distributions_protocol/0::standard_normal/1`  :ref:`univariate_distributions_protocol/0::standard_normal_density/2`  :ref:`univariate_distributions_protocol/0::standard_normal_distribution/2`  :ref:`univariate_distributions_protocol/0::standard_normal_log_density/2`  :ref:`univariate_distributions_protocol/0::standard_normal_quantile/2`  :ref:`univariate_distributions_protocol/0::standard_normal_samples/2`  :ref:`univariate_distributions_protocol/0::standard_t/2`  :ref:`univariate_distributions_protocol/0::standard_t_density/3`  :ref:`univariate_distributions_protocol/0::standard_t_distribution/3`  :ref:`univariate_distributions_protocol/0::standard_t_log_density/3`  :ref:`univariate_distributions_protocol/0::standard_t_quantile/3`  :ref:`univariate_distributions_protocol/0::standard_t_samples/3`  :ref:`univariate_distributions_protocol/0::t/4`  :ref:`univariate_distributions_protocol/0::t_density/5`  :ref:`univariate_distributions_protocol/0::t_distribution/5`  :ref:`univariate_distributions_protocol/0::t_log_density/5`  :ref:`univariate_distributions_protocol/0::t_quantile/5`  :ref:`univariate_distributions_protocol/0::t_samples/5`  

.. contents::
   :local:
   :backlinks: top

Public predicates
-----------------

(no local declarations; see entity ancestors if any)

Protected predicates
--------------------

(no local declarations; see entity ancestors if any)

Private predicates
------------------

(no local declarations; see entity ancestors if any)

Operators
---------

(none)

.. seealso::

   :ref:`univariate_distributions_protocol <univariate_distributions_protocol/0>`, :ref:`multivariate_distributions(Random) <multivariate_distributions/1>`, :ref:`random(Algorithm) <random/1>`, :ref:`fast_random(Algorithm) <fast_random/1>`, :ref:`fast_random <fast_random/0>`, :ref:`backend_random <backend_random/0>`