.. only:: html

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

        Click :ref:`here <sphx_glr_download_auto_examples_1d-deriv.py>`     to download the full example code
    .. rst-class:: sphx-glr-example-title

    .. _sphx_glr_auto_examples_1d-deriv.py:


===========================
1-Dimensional Derivatives
===========================



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


    *

      .. image:: /auto_examples/images/sphx_glr_1d-deriv_001.png
          :alt: k=1
          :class: sphx-glr-multi-img

    *

      .. image:: /auto_examples/images/sphx_glr_1d-deriv_002.png
          :alt: k=1
          :class: sphx-glr-multi-img

    *

      .. image:: /auto_examples/images/sphx_glr_1d-deriv_003.png
          :alt: k=2
          :class: sphx-glr-multi-img

    *

      .. image:: /auto_examples/images/sphx_glr_1d-deriv_004.png
          :alt: k=2
          :class: sphx-glr-multi-img

    *

      .. image:: /auto_examples/images/sphx_glr_1d-deriv_005.png
          :alt: k=3
          :class: sphx-glr-multi-img

    *

      .. image:: /auto_examples/images/sphx_glr_1d-deriv_006.png
          :alt: k=3
          :class: sphx-glr-multi-img






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


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

    import itertools

    import ndsplines


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

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

    funcs = [sin, cos]

    x = np.linspace(0, 1, 9)
    xx = np.linspace(-.0625, 1.0625, 1024)
    k = 3

    for degree in range(1,4):
        for func in funcs:
            fvals = func(x)
            truef = func(xx)
            if degree > 0:
                fig, axes = plt.subplots(3,1, constrained_layout=True)
            else:
                fig, axes = plt.subplots(2,1, constrained_layout=True)
    
            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)
            axes[0].plot(xx, splinef, '--', lw=3.0, label='BSpline')
            if degree > 0:
                der_Bspline = test_Bspline.derivative()
                axes[1].plot(xx, der_Bspline(xx.copy()), '--', lw=3.0, label='BSpline')
            antider_Bspline = test_Bspline.antiderivative()
            axes[-1].plot(xx, antider_Bspline(xx.copy()), '--', lw=3.0, label='BSpline')

            for ax in axes:
                ax.set_prop_cycle(None)
            test_NDBspline = ndsplines.make_interp_spline(x, fvals, degrees=degree)

            NDsplinef = test_NDBspline(xx.copy())
            axes[0].plot(xx, NDsplinef, label='ndspline' )
            if degree>0:
                der_NDspline = test_NDBspline.derivative(0)
                axes[1].plot(xx, der_NDspline(xx.copy()), label='ndspline' )
            antider_NDspline = test_NDBspline.antiderivative(0)
            axes[-1].plot(xx, antider_NDspline(xx.copy()), label='ndspline')

        
            axes[0].plot(xx, truef, 'k--', label="True " + func.__name__)
            axes[0].plot(x, fvals, 'ko')
            plt.suptitle('k=%d'%degree)
        
            axes[0].legend(loc='best')
            plt.show()
    


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

   **Total running time of the script:** ( 0 minutes  2.111 seconds)


.. _sphx_glr_download_auto_examples_1d-deriv.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: 1d-deriv.py <1d-deriv.py>`



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

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


.. only:: html

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

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