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

.. only:: html

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

        :ref:`Go to the end <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
=======================

.. GENERATED FROM PYTHON SOURCE LINES 6-8

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.

.. GENERATED FROM PYTHON SOURCE LINES 10-17

.. code-block:: Python

    import openturns as ot
    import openturns.viewer as viewer
    from matplotlib import pylab as plt

    ot.Log.Show(ot.Log.NONE)









.. GENERATED FROM PYTHON SOURCE LINES 18-46

.. code-block:: Python

    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 fulfilled
        # with curves
        graphJacobi = ot.Graph(titleJacobi, "z", "polynomial values", True, "upper right")

        # 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









.. GENERATED FROM PYTHON SOURCE LINES 47-48

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

.. GENERATED FROM PYTHON SOURCE LINES 50-52

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

.. GENERATED FROM PYTHON SOURCE LINES 52-58

.. code-block:: Python

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




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





.. GENERATED FROM PYTHON SOURCE LINES 59-63

.. code-block:: Python

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




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





.. GENERATED FROM PYTHON SOURCE LINES 64-67

.. code-block:: Python

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



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






.. _sphx_glr_download_auto_meta_modeling_polynomial_chaos_metamodel_plot_functional_chaos_graphs.py:

.. only:: html

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

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

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

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

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