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

.. only:: html

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

        Click :ref:`here <sphx_glr_download__auto_examples_distance_plot_line_to_plane.py>`
        to download the full example code

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

.. _sphx_glr__auto_examples_distance_plot_line_to_plane.py:


===========================
Distance from line to plane
===========================

.. GENERATED FROM PYTHON SOURCE LINES 6-42



.. image-sg:: /_auto_examples/distance/images/sphx_glr_plot_line_to_plane_001.png
   :alt: plot line to plane
   :srcset: /_auto_examples/distance/images/sphx_glr_plot_line_to_plane_001.png
   :class: sphx-glr-single-img


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

 .. code-block:: none


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    accumulated_time=0.4000513553619385






|

.. code-block:: default

    print(__doc__)
    import time
    import numpy as np
    import matplotlib.pyplot as plt
    import pytransform3d.plot_utils as ppu
    import pytransform3d.rotations as pr
    from distance3d.distance import line_to_plane
    from distance3d import random, plotting


    random_state = np.random.RandomState(3)
    plane_point, plane_normal = random.randn_plane(random_state)

    ax = ppu.make_3d_axis(ax_s=2)

    accumulated_time = 0.0
    for i in range(120000):
        line_point, line_direction = random.randn_line(random_state)
        if random_state.rand() < 0.5:
            line_direction = pr.perpendicular_to_vector(plane_normal)
        start = time.time()
        dist, closest_point_line, closest_point_plane = line_to_plane(
            line_point, line_direction, plane_point, plane_normal)
        end = time.time()
        accumulated_time += end - start
        print(dist)
        if i > 10:
            continue
        plotting.plot_segment(ax, closest_point_line, closest_point_plane, c="k", lw=1)
        plotting.plot_line(ax, line_point, line_direction)
    print(f"{accumulated_time=}")

    plotting.plot_plane(
        ax=ax, plane_point=plane_point, plane_normal=plane_normal, s=2)
    ax.view_init(azim=150, elev=30)
    plt.show()


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

   **Total running time of the script:** ( 0 minutes  3.698 seconds)


.. _sphx_glr_download__auto_examples_distance_plot_line_to_plane.py:

.. only:: html

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


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

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

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

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


.. only:: html

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

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