.. _libdoc_tensor_shared_randomstreams:

======================================================
:mod:`shared_randomstreams` -- Friendly random numbers
======================================================

.. module:: shared_randomstreams
   :platform: Unix, Windows
   :synopsis: symbolic random variables
.. moduleauthor:: LISA

Guide
=====

Since Theano uses a functional design, producing pseudo-random numbers in a
graph is not quite as straightforward as it is in numpy. If you are using Theano's
shared variables, then a `RandomStreams` object is probably what you want.  (If you are
using Module then this tutorial will be useful but not exactly what you want.  
Have a look at the :class:`RandomFunction` Op.)

The way to think about putting randomness into Theano's computations is to
put random variables in your graph.  Theano will allocate a numpy RandomState
object for each such variable, and draw from it as necessary.  We will call this sort of sequence of
random numbers a *random stream*.

For an example of how to use random numbers, see
:ref:`using_random_numbers`.


Reference
=========

.. class:: RandomStreams(raw_random.RandomStreamsBase)

    This is a symbolic stand-in for ``numpy.random.RandomState``. 
    Random variables of various distributions are instantiated by calls to
    parent class :class:`raw_random.RandomStreamsBase`.

    .. method:: updates()

        :returns: a list of all the (state, new_state) update pairs for the
          random variables created by this object
          
        This can be a convenient shortcut to enumerating all the random
        variables in a large graph in the ``update`` parameter of function.

    .. method:: seed(meta_seed)

        `meta_seed` will be used to seed a temporary random number generator,
        that will in turn generate seeds for all random variables
        created by this object (via `gen`).

        :returns: None

    .. method:: gen(op, *args, **kwargs)

        Return the random variable from `op(*args, **kwargs)`, but
        also install special attributes (``.rng`` and ``update``, see
        :class:`RandomVariable` ) into it.

        This function also adds the returned variable to an internal list so
        that it can be seeded later by a call to `seed`.

    .. method:: uniform, normal, binomial, multinomial, random_integers, ...

        See :class:`raw_random.RandomStreamsBase`.

.. class:: RandomVariable(object)

    .. attribute:: rng

        The shared variable whose ``.value`` is the numpy RandomState
        generator feeding this random variable.

    .. attribute:: update
        
        A pair
        whose first element is a shared variable whose value is a numpy RandomState,
        and whose second element is an [symbolic] expression for the next value of that
        RandomState after drawing samples.
        Including this pair in the``updates`` list to function will cause the
        function to update the random number generator feeding this variable.

