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

.. only:: html

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

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

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

.. _sphx_glr_gallery_plot_funcs.py:


Function1D object
=================

This example shows how to use the Function1D object
to analyze and plot results.

.. GENERATED FROM PYTHON SOURCE LINES 9-44



.. image-sg:: /gallery/images/sphx_glr_plot_funcs_001.png
   :alt: plot funcs
   :srcset: /gallery/images/sphx_glr_plot_funcs_001.png
   :class: sphx-glr-single-img





.. code-block:: Python

    import numpy as np
    import matplotlib.pyplot as plt

    from abipy.abilab import Function1D

    # Build mesh [0, 2pi] with 100 points.
    mesh = np.linspace(0, 2*np.pi, num=100)

    # Compute sine function.
    sine = Function1D.from_func(np.sin, mesh)

    # Call matplotlib to plot data.
    fig = plt.figure()
    ax = fig.add_subplot(1, 1, 1)

    # Plot sine.
    sine.plot_ax(ax, label="sin(x)")

    # Spline sine on the coarse mesh sx, and plot the data.
    sx = np.linspace(0, 2*np.pi, num=25)
    splsine = sine.spline(sx)

    plt.plot(sx, splsine, "ro", label="splined sine")

    # Compute the 1-st and 2-nd order derivatives
    # with finite differences (5-point stencil).
    for order in [1,2]:
        der = sine.finite_diff(order=order)
        der.plot_ax(ax, label="D sin(x) %d" % order)

    # Integrate the sine function and plot the results.
    (1 - sine.integral()).plot_ax(ax, marker=".", label=r"$1 - \int\,\sin(x)\,dx$")

    plt.legend(loc="best")
    plt.show()


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

   **Total running time of the script:** (0 minutes 0.069 seconds)


.. _sphx_glr_download_gallery_plot_funcs.py:

.. only:: html

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

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

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

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

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

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

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


.. only:: html

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

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