.. only:: html

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

        Click :ref:`here <sphx_glr_download_auto_meta_modeling_polynomial_chaos_metamodel_plot_functional_chaos_graphs.py>`     to download the full example code
    .. rst-class:: sphx-glr-example-title

    .. _sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_functional_chaos_graphs.py:


Polynomial chaos graphs
=======================

In this example we are going to create some graphs useful after the launch of a polynomial chaos algorithm. 
More precisely, we draw some members of the 1D polynomial family. 


.. code-block:: default

    from __future__ import print_function
    import openturns as ot
    import openturns.viewer as viewer
    from matplotlib import pylab as plt
    ot.Log.Show(ot.Log.NONE)










.. code-block:: default

    def drawFamily(factory, degreeMax=5):
        # Load all the valid colors
        colorList = ot.Drawable.BuildDefaultPalette(degreeMax)

        # Create a fine title
        titleJacobi = factory.__class__.__name__.replace('Factory', '') + " polynomials"

        # Create an empty graph which will be fullfilled
        # with curves
        graphJacobi = ot.Graph(titleJacobi, "z", "polynomial values", True, "topright")

        # Fix the number of points for the graph
        pointNumber = 101

        # Bounds of the graph
        xMinJacobi = -1.0
        xMaxJacobi = 1.0

        # Get the curves
        for i in range(degreeMax):
            graphJacobi_temp = factory.build(i).draw(
                xMinJacobi, xMaxJacobi, pointNumber)
            graphJacobi_temp_draw = graphJacobi_temp.getDrawable(0)
            graphJacobi_temp_draw.setLegend("degree " + str(i))
            graphJacobi_temp_draw.setColor(colorList[i])
            graphJacobi.add(graphJacobi_temp_draw)
        return graphJacobi









Draw the 5-th first members of the Jacobi family.

Create the Jacobi polynomials family using the default Jacobi.ANALYSIS
parameter set


.. code-block:: default

    alpha = 0.5
    beta = 1.5
    jacobiFamily = ot.JacobiFactory(alpha, beta)
    graph = drawFamily(jacobiFamily)
    view = viewer.View(graph)




.. image:: /auto_meta_modeling/polynomial_chaos_metamodel/images/sphx_glr_plot_functional_chaos_graphs_001.png
    :alt: Jacobi polynomials
    :class: sphx-glr-single-img






.. code-block:: default

    laguerreFamily = ot.LaguerreFactory(2.75, 1)
    graph =drawFamily(laguerreFamily)
    view = viewer.View(graph)




.. image:: /auto_meta_modeling/polynomial_chaos_metamodel/images/sphx_glr_plot_functional_chaos_graphs_002.png
    :alt: Laguerre polynomials
    :class: sphx-glr-single-img






.. code-block:: default

    graph = drawFamily(ot.HermiteFactory())
    view = viewer.View(graph)
    plt.show()



.. image:: /auto_meta_modeling/polynomial_chaos_metamodel/images/sphx_glr_plot_functional_chaos_graphs_003.png
    :alt: Hermite polynomials
    :class: sphx-glr-single-img






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

   **Total running time of the script:** ( 0 minutes  0.295 seconds)


.. _sphx_glr_download_auto_meta_modeling_polynomial_chaos_metamodel_plot_functional_chaos_graphs.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_functional_chaos_graphs.py <plot_functional_chaos_graphs.py>`



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

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


.. only:: html

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

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