.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "auto_design_of_experiments/plot_compute_ell2_error.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

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

        :ref:`Go to the end <sphx_glr_download_auto_design_of_experiments_plot_compute_ell2_error.py>`
        to download the full example code.

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

.. _sphx_glr_auto_design_of_experiments_plot_compute_ell2_error.py:


Compute the L2 error between two functions
==========================================

.. GENERATED FROM PYTHON SOURCE LINES 9-10

In this example we compute the L2 error between two functions.

.. GENERATED FROM PYTHON SOURCE LINES 12-15

.. code-block:: Python

    import openturns as ot
    from openturns.usecases import ishigami_function








.. GENERATED FROM PYTHON SOURCE LINES 16-18

This is easy using the arithmetic operator `-` on two
instances of the :class:`~openturns.Function` class.

.. GENERATED FROM PYTHON SOURCE LINES 20-29

.. code-block:: Python

    im = ishigami_function.IshigamiModel()
    partOfIshigamiFunction = ot.SymbolicFunction(
        ["x1", "x2", "x3"], ["7 * (sin(x2))^2 + 0.1 * x3^4 * sin(x1)"]
    )
    sampleSize = 1000
    experiment = ot.MonteCarloExperiment(im.distribution, sampleSize)
    integration = ot.ExperimentIntegration(experiment)
    functionError = integration.computeL2Norm(im.model - partOfIshigamiFunction)
    print(functionError)




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

 .. code-block:: none

    [0.717618]





.. _sphx_glr_download_auto_design_of_experiments_plot_compute_ell2_error.py:

.. only:: html

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

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

      :download:`Download Jupyter notebook: plot_compute_ell2_error.ipynb <plot_compute_ell2_error.ipynb>`

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

      :download:`Download Python source code: plot_compute_ell2_error.py <plot_compute_ell2_error.py>`

    .. container:: sphx-glr-download sphx-glr-download-zip

      :download:`Download zipped: plot_compute_ell2_error.zip <plot_compute_ell2_error.zip>`