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

    Click :ref:`here <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
===========================



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


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      .. image:: /auto_examples/images/sphx_glr_1d-interp_001.png
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.. code-block:: default
   :lineno-start: 7


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


    def gaussian(x_in):
        z = norm.ppf(.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(-.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  1.927 seconds)


.. _sphx_glr_download_auto_examples_1d-interp.py:


.. only :: html

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



  .. container:: sphx-glr-download

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



  .. container:: sphx-glr-download

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


.. only:: html

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

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