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

.. only:: html

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

        :ref:`Go to the end <sphx_glr_download_examples_doe_plot_sobieski_doe_disc_example.py>`
        to download the full example code

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

.. _sphx_glr_examples_doe_plot_sobieski_doe_disc_example.py:


Simple disciplinary DOE example on the Sobieski SSBJ test case
==============================================================

.. GENERATED FROM PYTHON SOURCE LINES 24-35

.. code-block:: Python


    from __future__ import annotations

    from gemseo import configure_logger
    from gemseo import create_discipline
    from gemseo import create_scenario
    from gemseo.problems.sobieski.core.design_space import SobieskiDesignSpace

    configure_logger()






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

 .. code-block:: none


    <RootLogger root (INFO)>



.. GENERATED FROM PYTHON SOURCE LINES 36-38

Instantiate the discipline
--------------------------

.. GENERATED FROM PYTHON SOURCE LINES 38-40

.. code-block:: Python

    discipline = create_discipline("SobieskiMission")








.. GENERATED FROM PYTHON SOURCE LINES 41-43

Create the design space
-----------------------

.. GENERATED FROM PYTHON SOURCE LINES 43-46

.. code-block:: Python

    design_space = SobieskiDesignSpace()
    design_space.filter(["y_24", "y_34"])






.. raw:: html

    <div class="output_subarea output_html rendered_html output_result">
    <div style='background-color: #fafae2; padding: 10px;'>Sobieski design space:<br/><table>
        <tr>
            <th style='text-align: left;'>Name</th>
            <th style='text-align: left;'>Lower bound</th>
            <th style='text-align: left;'>Value</th>
            <th style='text-align: left;'>Upper bound</th>
            <th style='text-align: left;'>Type</th>
        </tr>
        <tr>
            <td>y_24</td>
            <td>0.44</td>
            <td>4.15006276</td>
            <td>11.13</td>
            <td>float</td>
        </tr>
        <tr>
            <td>y_34</td>
            <td>0.44</td>
            <td>1.10754577</td>
            <td>1.98</td>
            <td>float</td>
        </tr>
    </table></div>
    </div>
    <br />
    <br />

.. GENERATED FROM PYTHON SOURCE LINES 47-51

Create the scenario
-----------------------
Build scenario which links the disciplines with the formulation and
The DOE algorithm.

.. GENERATED FROM PYTHON SOURCE LINES 51-60

.. code-block:: Python

    scenario = create_scenario(
        [discipline],
        "DisciplinaryOpt",
        "y_4",
        design_space,
        maximize_objective=True,
        scenario_type="DOE",
    )








.. GENERATED FROM PYTHON SOURCE LINES 61-64

Execute the scenario
-----------------------
Here we use a latin hypercube sampling algorithm with 30 samples.

.. GENERATED FROM PYTHON SOURCE LINES 64-66

.. code-block:: Python

    scenario.execute({"n_samples": 30, "algo": "lhs"})





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

 .. code-block:: none

        INFO - 13:56:15:  
        INFO - 13:56:15: *** Start DOEScenario execution ***
        INFO - 13:56:15: DOEScenario
        INFO - 13:56:15:    Disciplines: SobieskiMission
        INFO - 13:56:15:    MDO formulation: DisciplinaryOpt
        INFO - 13:56:15: Optimization problem:
        INFO - 13:56:15:    minimize -y_4(y_24, y_34)
        INFO - 13:56:15:    with respect to y_24, y_34
        INFO - 13:56:15:    over the design space:
        INFO - 13:56:15:       +------+-------------+------------+-------------+-------+
        INFO - 13:56:15:       | Name | Lower bound |   Value    | Upper bound | Type  |
        INFO - 13:56:15:       +------+-------------+------------+-------------+-------+
        INFO - 13:56:15:       | y_24 |     0.44    | 4.15006276 |    11.13    | float |
        INFO - 13:56:15:       | y_34 |     0.44    | 1.10754577 |     1.98    | float |
        INFO - 13:56:15:       +------+-------------+------------+-------------+-------+
        INFO - 13:56:15: Solving optimization problem with algorithm lhs:
        INFO - 13:56:15:      3%|▎         | 1/30 [00:00<00:00, 300.39 it/sec, obj=-1.53e+3]
        INFO - 13:56:15:      7%|▋         | 2/30 [00:00<00:00, 485.79 it/sec, obj=-1.66e+3]
        INFO - 13:56:15:     10%|█         | 3/30 [00:00<00:00, 630.15 it/sec, obj=-832]
        INFO - 13:56:15:     13%|█▎        | 4/30 [00:00<00:00, 742.26 it/sec, obj=-1.62e+3]
        INFO - 13:56:15:     17%|█▋        | 5/30 [00:00<00:00, 831.64 it/sec, obj=-994]
        INFO - 13:56:15:     20%|██        | 6/30 [00:00<00:00, 903.98 it/sec, obj=-601]
        INFO - 13:56:15:     23%|██▎       | 7/30 [00:00<00:00, 964.18 it/sec, obj=-180]
        INFO - 13:56:15:     27%|██▋       | 8/30 [00:00<00:00, 1004.29 it/sec, obj=-755]
        INFO - 13:56:15:     30%|███       | 9/30 [00:00<00:00, 1046.83 it/sec, obj=-691]
        INFO - 13:56:15:     33%|███▎      | 10/30 [00:00<00:00, 1084.33 it/sec, obj=-393]
        INFO - 13:56:15:     37%|███▋      | 11/30 [00:00<00:00, 1117.13 it/sec, obj=-362]
        INFO - 13:56:15:     40%|████      | 12/30 [00:00<00:00, 1145.75 it/sec, obj=-748]
        INFO - 13:56:15:     43%|████▎     | 13/30 [00:00<00:00, 1171.24 it/sec, obj=-719]
        INFO - 13:56:15:     47%|████▋     | 14/30 [00:00<00:00, 1188.72 it/sec, obj=-293]
        INFO - 13:56:15:     50%|█████     | 15/30 [00:00<00:00, 1208.92 it/sec, obj=-931]
        INFO - 13:56:15:     53%|█████▎    | 16/30 [00:00<00:00, 1227.59 it/sec, obj=-264]
        INFO - 13:56:15:     57%|█████▋    | 17/30 [00:00<00:00, 1244.43 it/sec, obj=-1.17e+3]
        INFO - 13:56:15:     60%|██████    | 18/30 [00:00<00:00, 1259.72 it/sec, obj=-495]
        INFO - 13:56:15:     63%|██████▎   | 19/30 [00:00<00:00, 1273.76 it/sec, obj=-189]
        INFO - 13:56:15:     67%|██████▋   | 20/30 [00:00<00:00, 1283.49 it/sec, obj=-2.23e+3]
        INFO - 13:56:15:     70%|███████   | 21/30 [00:00<00:00, 1294.79 it/sec, obj=-344]
        INFO - 13:56:15:     73%|███████▎  | 22/30 [00:00<00:00, 1305.93 it/sec, obj=-799]
        INFO - 13:56:15:     77%|███████▋  | 23/30 [00:00<00:00, 1316.46 it/sec, obj=-55.9]
        INFO - 13:56:15:     80%|████████  | 24/30 [00:00<00:00, 1326.42 it/sec, obj=-123]
        INFO - 13:56:15:     83%|████████▎ | 25/30 [00:00<00:00, 1336.11 it/sec, obj=-875]
        INFO - 13:56:15:     87%|████████▋ | 26/30 [00:00<00:00, 1345.14 it/sec, obj=-726]
        INFO - 13:56:15:     90%|█████████ | 27/30 [00:00<00:00, 1349.92 it/sec, obj=-69.6]
        INFO - 13:56:15:     93%|█████████▎| 28/30 [00:00<00:00, 1357.25 it/sec, obj=-1.51e+3]
        INFO - 13:56:15:     97%|█████████▋| 29/30 [00:00<00:00, 1364.35 it/sec, obj=-1.15e+3]
        INFO - 13:56:15:    100%|██████████| 30/30 [00:00<00:00, 1362.47 it/sec, obj=-2.73e+3]
        INFO - 13:56:15: Optimization result:
        INFO - 13:56:15:    Optimizer info:
        INFO - 13:56:15:       Status: None
        INFO - 13:56:15:       Message: None
        INFO - 13:56:15:       Number of calls to the objective function by the optimizer: 30
        INFO - 13:56:15:    Solution:
        INFO - 13:56:15:       Objective: -2726.3660548732214
        INFO - 13:56:15:       Design space:
        INFO - 13:56:15:          +------+-------------+--------------------+-------------+-------+
        INFO - 13:56:15:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 13:56:15:          +------+-------------+--------------------+-------------+-------+
        INFO - 13:56:15:          | y_24 |     0.44    | 9.094543945649603  |    11.13    | float |
        INFO - 13:56:15:          | y_34 |     0.44    | 0.4769766573300308 |     1.98    | float |
        INFO - 13:56:15:          +------+-------------+--------------------+-------------+-------+
        INFO - 13:56:15: *** End DOEScenario execution (time: 0:00:00.035324) ***

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



.. GENERATED FROM PYTHON SOURCE LINES 67-69

Plot optimization history view
------------------------------

.. GENERATED FROM PYTHON SOURCE LINES 69-71

.. code-block:: Python

    scenario.post_process("OptHistoryView", save=False, show=True)




.. rst-class:: sphx-glr-horizontal


    *

      .. image-sg:: /examples/doe/images/sphx_glr_plot_sobieski_doe_disc_example_001.png
         :alt: Evolution of the optimization variables
         :srcset: /examples/doe/images/sphx_glr_plot_sobieski_doe_disc_example_001.png
         :class: sphx-glr-multi-img

    *

      .. image-sg:: /examples/doe/images/sphx_glr_plot_sobieski_doe_disc_example_002.png
         :alt: Evolution of the objective value
         :srcset: /examples/doe/images/sphx_glr_plot_sobieski_doe_disc_example_002.png
         :class: sphx-glr-multi-img

    *

      .. image-sg:: /examples/doe/images/sphx_glr_plot_sobieski_doe_disc_example_003.png
         :alt: Distance to the optimum
         :srcset: /examples/doe/images/sphx_glr_plot_sobieski_doe_disc_example_003.png
         :class: sphx-glr-multi-img


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

 .. code-block:: none


    <gemseo.post.opt_history_view.OptHistoryView object at 0x7f28d42bb2b0>



.. GENERATED FROM PYTHON SOURCE LINES 72-74

Plot parallel coordinates
-------------------------

.. GENERATED FROM PYTHON SOURCE LINES 74-80

.. code-block:: Python

    scenario.post_process(
        "ScatterPlotMatrix",
        variable_names=["y_4", "y_24", "y_34"],
        save=False,
        show=True,
    )



.. image-sg:: /examples/doe/images/sphx_glr_plot_sobieski_doe_disc_example_004.png
   :alt: plot sobieski doe disc example
   :srcset: /examples/doe/images/sphx_glr_plot_sobieski_doe_disc_example_004.png
   :class: sphx-glr-single-img


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

 .. code-block:: none


    <gemseo.post.scatter_mat.ScatterPlotMatrix object at 0x7f28d358fd00>




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

   **Total running time of the script:** (0 minutes 1.417 seconds)


.. _sphx_glr_download_examples_doe_plot_sobieski_doe_disc_example.py:

.. only:: html

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

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

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

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

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


.. only:: html

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

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