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

.. only:: html

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

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

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

.. _sphx_glr_examples_post_process_plot_history_scatter_matrix.py:


Scatter plot matrix
===================

In this example, we illustrate the use of the :class:`.ScatterPlotMatrix` plot
on the Sobieski's SSBJ problem.

.. GENERATED FROM PYTHON SOURCE LINES 30-34

.. code-block:: default

    from __future__ import absolute_import, division, print_function, unicode_literals

    from future import standard_library








.. GENERATED FROM PYTHON SOURCE LINES 35-39

Import
------
The first step is to import some functions from the API
and a method to get the design space.

.. GENERATED FROM PYTHON SOURCE LINES 39-46

.. code-block:: default

    from gemseo.api import configure_logger, create_discipline, create_scenario
    from gemseo.problems.sobieski.core import SobieskiProblem

    configure_logger()

    standard_library.install_aliases()








.. GENERATED FROM PYTHON SOURCE LINES 47-51

Create disciplines
------------------
Then, we instantiate the disciplines of the Sobieski's SSBJ problem:
Propulsion, Aerodynamics, Structure and Mission

.. GENERATED FROM PYTHON SOURCE LINES 51-60

.. code-block:: default

    disciplines = create_discipline(
        [
            "SobieskiPropulsion",
            "SobieskiAerodynamics",
            "SobieskiStructure",
            "SobieskiMission",
        ]
    )








.. GENERATED FROM PYTHON SOURCE LINES 61-64

Create design space
-------------------
We also read the design space from the :class:`.SobieskiProblem`.

.. GENERATED FROM PYTHON SOURCE LINES 64-66

.. code-block:: default

    design_space = SobieskiProblem().read_design_space()








.. GENERATED FROM PYTHON SOURCE LINES 67-73

Create and execute scenario
---------------------------
The next step is to build a DOE scenario in order to maximize the range,
encoded 'y_4', with respect to the design parameters, while satisfying the
inequality constraints 'g_1', 'g_2' and 'g_3'. We can use the MDF formulation,
the Monte Carlo DOE algorithm and 30 samples.

.. GENERATED FROM PYTHON SOURCE LINES 73-86

.. code-block:: default

    scenario = create_scenario(
        disciplines,
        formulation="MDF",
        objective_name="y_4",
        maximize_objective=True,
        design_space=design_space,
        scenario_type="DOE",
    )
    scenario.set_differentiation_method("user")
    for constraint in ["g_1", "g_2", "g_3"]:
        scenario.add_constraint(constraint, "ineq")
    scenario.execute({"algo": "OT_MONTE_CARLO", "n_samples": 30})





.. rst-class:: sphx-glr-script-out

 Out:

 .. code-block:: none


    {'eval_jac': False, 'algo': 'OT_MONTE_CARLO', 'n_samples': 30}



.. GENERATED FROM PYTHON SOURCE LINES 87-92

Post-process scenario
---------------------
Lastly, we post-process the scenario by means of the :class:`.ScatterPlotMatrix`
plot which builds scatter plot matrix among design variables, objective
function and constraints.

.. GENERATED FROM PYTHON SOURCE LINES 92-99

.. code-block:: default

    design_variables = ["x_shared", "x_1", "x_2", "x_3"]
    scenario.post_process(
        "ScatterPlotMatrix",
        save=False,
        show=True,
        variables_list=design_variables + ["-y_4"],
    )



.. image:: /examples/post_process/images/sphx_glr_plot_history_scatter_matrix_001.png
    :alt: plot history scatter matrix
    :class: sphx-glr-single-img


.. rst-class:: sphx-glr-script-out

 Out:

 .. code-block:: none


    <gemseo.post.scatter_mat.ScatterPlotMatrix object at 0x7fc29dd5e280>




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

   **Total running time of the script:** ( 0 minutes  2.551 seconds)


.. _sphx_glr_download_examples_post_process_plot_history_scatter_matrix.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_history_scatter_matrix.py <plot_history_scatter_matrix.py>`



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

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


.. only:: html

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

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