.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "examples/constraint_aggregation/plot_constraint_aggregation_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_constraint_aggregation_plot_constraint_aggregation_example.py>`
        to download the full example code

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

.. _sphx_glr_examples_constraint_aggregation_plot_constraint_aggregation_example.py:


Examples for constraint aggregation
===================================

.. GENERATED FROM PYTHON SOURCE LINES 20-31

.. code-block:: default

    from __future__ import annotations

    from copy import deepcopy

    from gemseo import configure_logger
    from gemseo import create_scenario
    from gemseo.algos.design_space import DesignSpace
    from gemseo.disciplines.analytic import AnalyticDiscipline
    from gemseo.disciplines.concatenater import Concatenater

    configure_logger()




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

 .. code-block:: none


    <RootLogger root (INFO)>



.. GENERATED FROM PYTHON SOURCE LINES 32-33

Number of constraints

.. GENERATED FROM PYTHON SOURCE LINES 33-35

.. code-block:: default

    N = 100








.. GENERATED FROM PYTHON SOURCE LINES 36-37

Build the discipline

.. GENERATED FROM PYTHON SOURCE LINES 37-47

.. code-block:: default

    constraint_names = [f"g_{k + 1}" for k in range(N)]
    function_names = ["o"] + constraint_names
    function_expressions = ["y"] + [f"{k + 1}*x*exp(1-{k + 1}*x)-y" for k in range(N)]
    disc = AnalyticDiscipline(
        name="function",
        expressions=dict(zip(function_names, function_expressions)),
    )
    # This step is required to put all constraints needed for aggregation in one variable.
    concat = Concatenater(constraint_names, "g")








.. GENERATED FROM PYTHON SOURCE LINES 48-49

Build the design space

.. GENERATED FROM PYTHON SOURCE LINES 49-62

.. code-block:: default

    ds = DesignSpace()
    ds.add_variable(
        "x",
        l_b=0.0,
        u_b=1,
        value=1.0 / N / 2.0,
        var_type=DesignSpace.DesignVariableType.FLOAT,
    )
    ds.add_variable(
        "y", l_b=0.0, u_b=1, value=1, var_type=DesignSpace.DesignVariableType.FLOAT
    )

    ds_new = deepcopy(ds)







.. GENERATED FROM PYTHON SOURCE LINES 63-64

Build the optimization solver options

.. GENERATED FROM PYTHON SOURCE LINES 64-83

.. code-block:: default

    max_iter = 1000
    ineq_tol = 1e-5
    convergence_tol = 1e-8
    normalize = True
    algo_options = {
        "algo": "NLOPT_MMA",
        "max_iter": max_iter,
        "algo_options": {
            "ineq_tolerance": ineq_tol,
            "eq_tolerance": ineq_tol,
            "xtol_rel": convergence_tol,
            "xtol_abs": convergence_tol,
            "ftol_rel": convergence_tol,
            "ftol_abs": convergence_tol,
            "ctol_abs": convergence_tol,
            "normalize_design_space": normalize,
        },
    }








.. GENERATED FROM PYTHON SOURCE LINES 84-85

Build the optimization scenario

.. GENERATED FROM PYTHON SOURCE LINES 85-98

.. code-block:: default

    original_scenario = create_scenario(
        disciplines=[disc, concat],
        formulation="DisciplinaryOpt",
        objective_name="o",
        design_space=ds,
        maximize_objective=False,
    )
    original_scenario.add_constraint("g", "ineq")

    original_scenario.execute(algo_options)
    # Without constraint aggregation MMA iterations become more expensive, when a
    # large number of constraints are activated.





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

 .. code-block:: none

        INFO - 13:50:51:  
        INFO - 13:50:51: *** Start MDOScenario execution ***
        INFO - 13:50:51: MDOScenario
        INFO - 13:50:51:    Disciplines: Concatenater function
        INFO - 13:50:51:    MDO formulation: DisciplinaryOpt
        INFO - 13:50:51: Optimization problem:
        INFO - 13:50:51:    minimize o(x, y)
        INFO - 13:50:51:    with respect to x, y
        INFO - 13:50:51:    subject to constraints:
        INFO - 13:50:51:       g(x, y) <= 0.0
        INFO - 13:50:51:    over the design space:
        INFO - 13:50:51:    +------+-------------+-------+-------------+-------+
        INFO - 13:50:51:    | name | lower_bound | value | upper_bound | type  |
        INFO - 13:50:51:    +------+-------------+-------+-------------+-------+
        INFO - 13:50:51:    | x    |      0      | 0.005 |      1      | float |
        INFO - 13:50:51:    | y    |      0      |   1   |      1      | float |
        INFO - 13:50:51:    +------+-------------+-------+-------------+-------+
        INFO - 13:50:51: Solving optimization problem with algorithm NLOPT_MMA:
        INFO - 13:50:51: ...   0%|          | 0/1000 [00:00<?, ?it]
        INFO - 13:50:51: ...   0%|          | 1/1000 [00:00<02:02,  8.15 it/sec, obj=1]
        INFO - 13:50:51: ...   0%|          | 2/1000 [00:00<02:21,  7.04 it/sec, obj=0.866]
        INFO - 13:50:51: ...   0%|          | 3/1000 [00:00<01:54,  8.72 it/sec, obj=0.616]
        INFO - 13:50:51: ...   0%|          | 4/1000 [00:00<01:40,  9.91 it/sec, obj=0.312]
        INFO - 13:50:51: ...   0%|          | 5/1000 [00:00<01:32, 10.76 it/sec, obj=0.0944]
        INFO - 13:50:51: ...   1%|          | 6/1000 [00:00<01:27, 11.42 it/sec, obj=0.00931]
        INFO - 13:50:51: ...   1%|          | 7/1000 [00:00<01:23, 11.96 it/sec, obj=8.28e-5]
        INFO - 13:50:51: ...   1%|          | 8/1000 [00:00<01:19, 12.41 it/sec, obj=5.2e-9]
        INFO - 13:51:08: ...   1%|          | 9/1000 [00:17<32:07, 30.85 it/min, obj=0]
        INFO - 13:51:08: Optimization result:
        INFO - 13:51:08:    Optimizer info:
        INFO - 13:51:08:       Status: 5
        INFO - 13:51:08:       Message: NLOPT_MAXEVAL_REACHED: Optimization stopped because maxeval (above) was reached
        INFO - 13:51:08:       Number of calls to the objective function by the optimizer: 1501
        INFO - 13:51:08:    Solution:
        INFO - 13:51:08:       The solution is feasible.
        INFO - 13:51:08:       Objective: 0.0
        INFO - 13:51:08:       Standardized constraints:
        INFO - 13:51:08:          g = [0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
        INFO - 13:51:08:  0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
        INFO - 13:51:08:  0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
        INFO - 13:51:08:  0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
        INFO - 13:51:08:  0. 0. 0. 0.]
        INFO - 13:51:08:       Design space:
        INFO - 13:51:08:       +------+-------------+-------+-------------+-------+
        INFO - 13:51:08:       | name | lower_bound | value | upper_bound | type  |
        INFO - 13:51:08:       +------+-------------+-------+-------------+-------+
        INFO - 13:51:08:       | x    |      0      |   0   |      1      | float |
        INFO - 13:51:08:       | y    |      0      |   0   |      1      | float |
        INFO - 13:51:08:       +------+-------------+-------+-------------+-------+
        INFO - 13:51:08: *** End MDOScenario execution (time: 0:00:17.518967) ***

    {'max_iter': 1000, 'algo_options': {'ineq_tolerance': 1e-05, 'eq_tolerance': 1e-05, 'xtol_rel': 1e-08, 'xtol_abs': 1e-08, 'ftol_rel': 1e-08, 'ftol_abs': 1e-08, 'ctol_abs': 1e-08, 'normalize_design_space': True}, 'algo': 'NLOPT_MMA'}



.. GENERATED FROM PYTHON SOURCE LINES 99-100

exploiting constraint aggregation on the same scenario:

.. GENERATED FROM PYTHON SOURCE LINES 100-109

.. code-block:: default

    new_scenario = create_scenario(
        disciplines=[disc, concat],
        formulation="DisciplinaryOpt",
        objective_name="o",
        design_space=ds_new,
        maximize_objective=False,
    )
    new_scenario.add_constraint("g", "ineq")








.. GENERATED FROM PYTHON SOURCE LINES 110-111

This method aggregates the constraints using the KS function

.. GENERATED FROM PYTHON SOURCE LINES 111-114

.. code-block:: default

    new_scenario.formulation.opt_problem.aggregate_constraint(0, method="KS", rho=10.0)
    new_scenario.execute(algo_options)





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

 .. code-block:: none

        INFO - 13:51:08:  
        INFO - 13:51:08: *** Start MDOScenario execution ***
        INFO - 13:51:08: MDOScenario
        INFO - 13:51:08:    Disciplines: Concatenater function
        INFO - 13:51:08:    MDO formulation: DisciplinaryOpt
        INFO - 13:51:08: Optimization problem:
        INFO - 13:51:08:    minimize o(x, y)
        INFO - 13:51:08:    with respect to x, y
        INFO - 13:51:08:    subject to constraints:
        INFO - 13:51:08:       KS() <= 0.0
        INFO - 13:51:08:    over the design space:
        INFO - 13:51:08:    +------+-------------+-------+-------------+-------+
        INFO - 13:51:08:    | name | lower_bound | value | upper_bound | type  |
        INFO - 13:51:08:    +------+-------------+-------+-------------+-------+
        INFO - 13:51:08:    | x    |      0      | 0.005 |      1      | float |
        INFO - 13:51:08:    | y    |      0      |   1   |      1      | float |
        INFO - 13:51:08:    +------+-------------+-------+-------------+-------+
        INFO - 13:51:08: Solving optimization problem with algorithm NLOPT_MMA:
        INFO - 13:51:08: ...   0%|          | 0/1000 [00:00<?, ?it]
        INFO - 13:51:08: ...   0%|          | 1/1000 [00:00<00:44, 22.25 it/sec, obj=1]
        INFO - 13:51:08: ...   0%|          | 2/1000 [00:00<01:32, 10.80 it/sec, obj=0.866]
        INFO - 13:51:08: ...   0%|          | 3/1000 [00:00<01:17, 12.83 it/sec, obj=0.592]
        INFO - 13:51:08: ...   0%|          | 4/1000 [00:00<01:10, 14.15 it/sec, obj=0.295]
        INFO - 13:51:09: ...   0%|          | 5/1000 [00:00<01:06, 15.07 it/sec, obj=0.0857]
        INFO - 13:51:09: ...   1%|          | 6/1000 [00:00<01:03, 15.69 it/sec, obj=0.00773]
        INFO - 13:51:09: ...   1%|          | 7/1000 [00:00<01:01, 16.23 it/sec, obj=5.72e-5]
        INFO - 13:51:09: ...   1%|          | 8/1000 [00:00<00:59, 16.63 it/sec, obj=2.62e-9]
        INFO - 13:51:09: ...   1%|          | 9/1000 [00:00<01:28, 11.20 it/sec, obj=0]
        INFO - 13:51:09: Optimization result:
        INFO - 13:51:09:    Optimizer info:
        INFO - 13:51:09:       Status: 5
        INFO - 13:51:09:       Message: NLOPT_MAXEVAL_REACHED: Optimization stopped because maxeval (above) was reached
        INFO - 13:51:09:       Number of calls to the objective function by the optimizer: 1501
        INFO - 13:51:09:    Solution:
        INFO - 13:51:09:       The solution is feasible.
        INFO - 13:51:09:       Objective: 0.0
        INFO - 13:51:09:       Standardized constraints:
        INFO - 13:51:09:          KS(g) = 4.440892098500626e-16
        INFO - 13:51:09:       Design space:
        INFO - 13:51:09:       +------+-------------+-------+-------------+-------+
        INFO - 13:51:09:       | name | lower_bound | value | upper_bound | type  |
        INFO - 13:51:09:       +------+-------------+-------+-------------+-------+
        INFO - 13:51:09:       | x    |      0      |   0   |      1      | float |
        INFO - 13:51:09:       | y    |      0      |   0   |      1      | float |
        INFO - 13:51:09:       +------+-------------+-------+-------------+-------+
        INFO - 13:51:09: *** End MDOScenario execution (time: 0:00:00.817794) ***

    {'max_iter': 1000, 'algo_options': {'ineq_tolerance': 1e-05, 'eq_tolerance': 1e-05, 'xtol_rel': 1e-08, 'xtol_abs': 1e-08, 'ftol_rel': 1e-08, 'ftol_abs': 1e-08, 'ctol_abs': 1e-08, 'normalize_design_space': True}, 'algo': 'NLOPT_MMA'}



.. GENERATED FROM PYTHON SOURCE LINES 115-116

with constraint aggregation the last iteration is faster.


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

   **Total running time of the script:** (0 minutes 20.064 seconds)


.. _sphx_glr_download_examples_constraint_aggregation_plot_constraint_aggregation_example.py:

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