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

.. only:: html

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

        Click :ref:`here <sphx_glr_download_auto_examples_1d-lsq.py>`
        to download the full example code

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

.. _sphx_glr_auto_examples_1d-lsq.py:


===============================
1-Dimensional Least Squares Fit
===============================

.. GENERATED FROM PYTHON SOURCE LINES 6-33



.. image-sg:: /auto_examples/images/sphx_glr_1d-lsq_001.png
   :alt: 1d lsq
   :srcset: /auto_examples/images/sphx_glr_1d-lsq_001.png
   :class: sphx-glr-single-img


.. rst-class:: sphx-glr-script-out

 Out:

 .. code-block:: none

    Computed coefficients close? False






|

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


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

    x = np.linspace(-3, 3, 50)
    y = np.exp(-x**2) + 0.1 * np.random.randn(50)

    t = [-1, 0, 1]
    k = 3
    t = np.r_[(x[0],)*(k+1),
              t,
              (x[-1],)*(k+1)]

    ndspl = ndsplines.make_lsq_spline(x[:, None], y[:, None], [t], np.array([k]))
    ispl = interpolate.make_lsq_spline(x, y, t, k)

    xs = np.linspace(-3, 3, 100)
    plt.figure()
    plt.plot(x, y, 'o', ms=5)
    plt.plot(xs, ndspl(xs).squeeze(), label='LSQ ND spline')
    plt.plot(xs, ispl(xs), '--', label='LSQ scipy.interpolate spline')
    plt.legend(loc='best')
    plt.show()

    print("Computed coefficients close?", np.allclose(ndspl.coefficients, ispl.c))


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

   **Total running time of the script:** ( 0 minutes  0.161 seconds)


.. _sphx_glr_download_auto_examples_1d-lsq.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-lsq.py <1d-lsq.py>`



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

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


.. only:: html

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

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