.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "examples/doe/plot_lhs_example.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        Click :ref:`here <sphx_glr_download_examples_doe_plot_lhs_example.py>`
        to download the full example code

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_examples_doe_plot_lhs_example.py:


Optimal LHS vs LHS
==================

.. GENERATED FROM PYTHON SOURCE LINES 26-57



.. image:: /examples/doe/images/sphx_glr_plot_lhs_example_001.png
    :alt: A first standard LHS, A second standard LHS, An LHS optimized with simulated annealing, An LHS optimized with Monte Carlo
    :class: sphx-glr-single-img





.. code-block:: default

    from __future__ import division, unicode_literals

    import matplotlib.pyplot as plt

    from gemseo.algos.doe.doe_factory import DOEFactory

    n_samples = 30
    n_parameters = 2

    factory = DOEFactory()

    lhs = factory.create("OT_LHS")
    samples = lhs(n_samples, n_parameters)
    samples2 = lhs(n_samples, n_parameters)

    olhs = factory.create("OT_OPT_LHS")
    o_samples = olhs(n_samples, n_parameters)

    olhs = factory.create("OT_OPT_LHS")
    o_a_samples = olhs(n_samples, n_parameters, annealing=False)

    _, ax = plt.subplots(2, 2)
    ax[0, 0].plot(samples[:, 0], samples[:, 1], "o")
    ax[0, 0].set_title("A first standard LHS")
    ax[0, 1].plot(samples2[:, 0], samples[:, 1], "o")
    ax[0, 1].set_title("A second standard LHS")
    ax[1, 0].plot(o_samples[:, 0], o_samples[:, 1], "o")
    ax[1, 0].set_title("An LHS optimized with simulated annealing")
    ax[1, 1].plot(o_a_samples[:, 0], o_a_samples[:, 1], "o")
    ax[1, 1].set_title("An LHS optimized with Monte Carlo")
    plt.show()


.. rst-class:: sphx-glr-timing

   **Total running time of the script:** ( 0 minutes  0.273 seconds)


.. _sphx_glr_download_examples_doe_plot_lhs_example.py:


.. only :: html

 .. container:: sphx-glr-footer
    :class: sphx-glr-footer-example



  .. container:: sphx-glr-download sphx-glr-download-python

     :download:`Download Python source code: plot_lhs_example.py <plot_lhs_example.py>`



  .. container:: sphx-glr-download sphx-glr-download-jupyter

     :download:`Download Jupyter notebook: plot_lhs_example.ipynb <plot_lhs_example.ipynb>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_