.. 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 24-34

.. code-block:: default

    from __future__ import annotations

    from gemseo import configure_logger
    from gemseo import create_discipline
    from gemseo import create_scenario
    from gemseo.problems.sobieski.core.problem import SobieskiProblem

    configure_logger()






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

 .. code-block:: none


    <RootLogger root (INFO)>



.. GENERATED FROM PYTHON SOURCE LINES 35-37

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

.. GENERATED FROM PYTHON SOURCE LINES 37-39

.. code-block:: default

    discipline = create_discipline("SobieskiMission")








.. GENERATED FROM PYTHON SOURCE LINES 40-42

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

.. GENERATED FROM PYTHON SOURCE LINES 42-45

.. code-block:: default

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





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

 .. code-block:: none


    <gemseo.algos.design_space.DesignSpace object at 0x7fea3c654430>



.. GENERATED FROM PYTHON SOURCE LINES 46-50

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

.. GENERATED FROM PYTHON SOURCE LINES 50-59

.. code-block:: default

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








.. GENERATED FROM PYTHON SOURCE LINES 60-63

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

.. GENERATED FROM PYTHON SOURCE LINES 63-65

.. code-block:: default

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





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

 .. code-block:: none

        INFO - 16:29:09:  
        INFO - 16:29:09: *** Start DOEScenario execution ***
        INFO - 16:29:09: DOEScenario
        INFO - 16:29:09:    Disciplines: SobieskiMission
        INFO - 16:29:09:    MDO formulation: DisciplinaryOpt
        INFO - 16:29:09: Optimization problem:
        INFO - 16:29:09:    minimize -y_4(y_24, y_34)
        INFO - 16:29:09:    with respect to y_24, y_34
        INFO - 16:29:09:    over the design space:
        INFO - 16:29:09:    +------+-------------+------------+-------------+-------+
        INFO - 16:29:09:    | name | lower_bound |   value    | upper_bound | type  |
        INFO - 16:29:09:    +------+-------------+------------+-------------+-------+
        INFO - 16:29:09:    | y_24 |     0.44    | 4.15006276 |    11.13    | float |
        INFO - 16:29:09:    | y_34 |     0.44    | 1.10754577 |     1.98    | float |
        INFO - 16:29:09:    +------+-------------+------------+-------------+-------+
        INFO - 16:29:09: Solving optimization problem with algorithm lhs:
        INFO - 16:29:09: ...   0%|          | 0/30 [00:00<?, ?it]
        INFO - 16:29:09: ...   3%|▎         | 1/30 [00:00<00:00, 241.41 it/sec, obj=-1.53e+3]
        INFO - 16:29:09: ...   7%|▋         | 2/30 [00:00<00:00, 405.15 it/sec, obj=-1.66e+3]
        INFO - 16:29:09: ...  10%|█         | 3/30 [00:00<00:00, 525.84 it/sec, obj=-832]
        INFO - 16:29:09: ...  13%|█▎        | 4/30 [00:00<00:00, 620.73 it/sec, obj=-1.62e+3]
        INFO - 16:29:09: ...  17%|█▋        | 5/30 [00:00<00:00, 699.12 it/sec, obj=-994]
        INFO - 16:29:09: ...  20%|██        | 6/30 [00:00<00:00, 764.08 it/sec, obj=-601]
        INFO - 16:29:09: ...  23%|██▎       | 7/30 [00:00<00:00, 818.29 it/sec, obj=-180]
        INFO - 16:29:09: ...  27%|██▋       | 8/30 [00:00<00:00, 861.56 it/sec, obj=-755]
        INFO - 16:29:09: ...  30%|███       | 9/30 [00:00<00:00, 900.90 it/sec, obj=-691]
        INFO - 16:29:09: ...  33%|███▎      | 10/30 [00:00<00:00, 933.91 it/sec, obj=-393]
        INFO - 16:29:09: ...  37%|███▋      | 11/30 [00:00<00:00, 959.76 it/sec, obj=-362]
        INFO - 16:29:09: ...  40%|████      | 12/30 [00:00<00:00, 986.39 it/sec, obj=-748]
        INFO - 16:29:09: ...  43%|████▎     | 13/30 [00:00<00:00, 1010.04 it/sec, obj=-719]
        INFO - 16:29:09: ...  47%|████▋     | 14/30 [00:00<00:00, 1027.73 it/sec, obj=-293]
        INFO - 16:29:09: ...  50%|█████     | 15/30 [00:00<00:00, 1045.93 it/sec, obj=-931]
        INFO - 16:29:09: ...  53%|█████▎    | 16/30 [00:00<00:00, 1063.55 it/sec, obj=-264]
        INFO - 16:29:09: ...  57%|█████▋    | 17/30 [00:00<00:00, 1079.61 it/sec, obj=-1.17e+3]
        INFO - 16:29:09: ...  60%|██████    | 18/30 [00:00<00:00, 1094.34 it/sec, obj=-495]
        INFO - 16:29:09: ...  63%|██████▎   | 19/30 [00:00<00:00, 1106.00 it/sec, obj=-189]
        INFO - 16:29:09: ...  67%|██████▋   | 20/30 [00:00<00:00, 1118.26 it/sec, obj=-2.23e+3]
        INFO - 16:29:09: ...  70%|███████   | 21/30 [00:00<00:00, 1128.58 it/sec, obj=-344]
        INFO - 16:29:09: ...  73%|███████▎  | 22/30 [00:00<00:00, 1139.26 it/sec, obj=-799]
        INFO - 16:29:09: ...  77%|███████▋  | 23/30 [00:00<00:00, 1149.40 it/sec, obj=-55.9]
        INFO - 16:29:09: ...  80%|████████  | 24/30 [00:00<00:00, 1158.86 it/sec, obj=-123]
        INFO - 16:29:09: ...  83%|████████▎ | 25/30 [00:00<00:00, 1165.36 it/sec, obj=-875]
        INFO - 16:29:09: ...  87%|████████▋ | 26/30 [00:00<00:00, 1171.18 it/sec, obj=-726]
        INFO - 16:29:09: ...  90%|█████████ | 27/30 [00:00<00:00, 1176.60 it/sec, obj=-69.6]
        INFO - 16:29:09: ...  93%|█████████▎| 28/30 [00:00<00:00, 1183.58 it/sec, obj=-1.51e+3]
        INFO - 16:29:09: ...  97%|█████████▋| 29/30 [00:00<00:00, 1190.14 it/sec, obj=-1.15e+3]
        INFO - 16:29:09: ... 100%|██████████| 30/30 [00:00<00:00, 1195.33 it/sec, obj=-2.73e+3]
        INFO - 16:29:09: Optimization result:
        INFO - 16:29:09:    Optimizer info:
        INFO - 16:29:09:       Status: None
        INFO - 16:29:09:       Message: None
        INFO - 16:29:09:       Number of calls to the objective function by the optimizer: 30
        INFO - 16:29:09:    Solution:
        INFO - 16:29:09:       Objective: -2726.3660548732214
        INFO - 16:29:09:       Design space: 
        INFO - 16:29:09:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:29:09:       | name | lower_bound |       value        | upper_bound | type  |
        INFO - 16:29:09:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:29:09:       | y_24 |     0.44    | 9.094543945649603  |    11.13    | float |
        INFO - 16:29:09:       | y_34 |     0.44    | 0.4769766573300308 |     1.98    | float |
        INFO - 16:29:09:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:29:09: *** End DOEScenario execution (time: 0:00:00.037297) ***

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



.. GENERATED FROM PYTHON SOURCE LINES 66-68

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

.. GENERATED FROM PYTHON SOURCE LINES 68-70

.. code-block:: default

    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

    /home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/5.0.0/lib/python3.9/site-packages/genson/schema/strategies/base.py:42: UserWarning: Schema incompatible. Keyword 'description' has conflicting values ('The width and height of the figure in inches, e.g. ``(w, h)``.\nIf ``None``, use the :attr:`.OptPostProcessor.DEFAULT_FIG_SIZE`\nof the post-processor.' vs. 'The width and height of the figure in inches, e.g. `(w, h)`.\nIf ``None``, use the :attr:`.OptPostProcessor.DEFAULT_FIG_SIZE`\nof the post-processor.'). Using 'The width and height of the figure in inches, e.g. ``(w, h)``.\nIf ``None``, use the :attr:`.OptPostProcessor.DEFAULT_FIG_SIZE`\nof the post-processor.'
      warn(('Schema incompatible. Keyword {0!r} has conflicting '
     WARNING - 16:29:09: Failed to create Hessian approximation.
    Traceback (most recent call last):
      File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/5.0.0/lib/python3.9/site-packages/gemseo/post/opt_history_view.py", line 621, in _create_hessian_approx_plot
        _, diag, _, _ = SR1Approx(history).build_approximation(
      File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/5.0.0/lib/python3.9/site-packages/gemseo/post/core/hessians.py", line 379, in build_approximation
        x_hist, grad_hist, _, _ = self.get_x_grad_history(
      File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/5.0.0/lib/python3.9/site-packages/gemseo/post/core/hessians.py", line 170, in get_x_grad_history
        raise ValueError(
    ValueError: Cannot build approximation for function: -y_4 because its gradient history is too small: 0.

    <gemseo.post.opt_history_view.OptHistoryView object at 0x7fea3af1ac10>



.. GENERATED FROM PYTHON SOURCE LINES 71-73

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

.. GENERATED FROM PYTHON SOURCE LINES 73-79

.. code-block:: default

    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 0x7fea46f6fc40>




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

   **Total running time of the script:** ( 0 minutes  1.619 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-python

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

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

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


.. only:: html

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

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