.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "auto_examples/1d-interp.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

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

        :ref:`Go to the end <sphx_glr_download_auto_examples_1d-interp.py>`
        to download the full example code.

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

.. _sphx_glr_auto_examples_1d-interp.py:


===========================
1-Dimensional Interpolation
===========================

.. GENERATED FROM PYTHON SOURCE LINES 6-61



.. rst-class:: sphx-glr-horizontal


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.. code-block:: Python
   :lineno-start: 7


    import ndsplines
    import numpy as np
    import matplotlib.pyplot as plt
    from scipy import interpolate
    from scipy.stats import norm


    def gaussian(x_in):
        z = norm.ppf(0.9995)
        x = z * (2 * x_in - 1)
        return norm.pdf(x)


    def sin(x_in):
        x = np.pi * (x_in - 0.5)
        return np.sin(x)


    def tanh(x_in):
        x = 2 * np.pi * (x_in - 0.5)
        return np.tanh(x)


    funcs = [gaussian, sin, tanh]

    x = np.linspace(0, 1, 9)
    xx = np.linspace(-0.25, 1.25, 1024)
    k = 3

    for degree in range(0, 4):
        for func in funcs:
            fvals = func(x)
            truef = func(xx)
            plt.figure()

            plot_sel = slice(None)

            plt.gca().set_prop_cycle(None)
            test_Bspline = interpolate.make_interp_spline(x, fvals, k=degree)
            splinef = test_Bspline(xx.copy(), extrapolate=True)
            plt.plot(
                xx, splinef, "--", lw=3.0, label="scipy.interpolate.make_interp_spline"
            )

            test_NDBspline = ndsplines.make_interp_spline(x, fvals, degrees=degree)
            NDsplinef = test_NDBspline(xx.copy())
            plt.plot(xx, NDsplinef, label="ndspline.make_interp_spline")

            plt.plot(xx, truef, "k--", label="True " + func.__name__)
            plt.plot(x, fvals, "ko")
            plt.title("k=%d" % degree)

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


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

   **Total running time of the script:** (0 minutes 0.883 seconds)


.. _sphx_glr_download_auto_examples_1d-interp.py:

.. only:: html

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

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

      :download:`Download Jupyter notebook: 1d-interp.ipynb <1d-interp.ipynb>`

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

      :download:`Download Python source code: 1d-interp.py <1d-interp.py>`

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

      :download:`Download zipped: 1d-interp.zip <1d-interp.zip>`


.. only:: html

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

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