.. only:: html

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

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

    .. _sphx_glr_gallery_scales_logit_demo.py:


================
Logit Demo
================

Examples of plots with logit axes.



.. image:: /gallery/scales/images/sphx_glr_logit_demo_001.png
    :alt: logit scale, logit scale, logit scale, logit scale, linear scale, linear scale
    :class: sphx-glr-single-img


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

 Out:

 .. code-block:: none

    Substituting symbol N from STIXNonUnicode
    Substituting symbol L from STIXNonUnicode






|


.. code-block:: default


    import math

    import numpy as np
    import matplotlib.pyplot as plt

    xmax = 10
    x = np.linspace(-xmax, xmax, 10000)
    cdf_norm = [math.erf(w / np.sqrt(2)) / 2 + 1 / 2 for w in x]
    cdf_laplacian = np.where(x < 0, 1 / 2 * np.exp(x), 1 - 1 / 2 * np.exp(-x))
    cdf_cauchy = np.arctan(x) / np.pi + 1 / 2

    fig, axs = plt.subplots(nrows=3, ncols=2, figsize=(6.4, 8.5))

    # Common part, for the example, we will do the same plots on all graphs
    for i in range(3):
        for j in range(2):
            axs[i, j].plot(x, cdf_norm, label=r"$\mathcal{N}$")
            axs[i, j].plot(x, cdf_laplacian, label=r"$\mathcal{L}$")
            axs[i, j].plot(x, cdf_cauchy, label="Cauchy")
            axs[i, j].legend()
            axs[i, j].grid()

    # First line, logitscale, with standard notation
    axs[0, 0].set(title="logit scale")
    axs[0, 0].set_yscale("logit")
    axs[0, 0].set_ylim(1e-5, 1 - 1e-5)

    axs[0, 1].set(title="logit scale")
    axs[0, 1].set_yscale("logit")
    axs[0, 1].set_xlim(0, xmax)
    axs[0, 1].set_ylim(0.8, 1 - 5e-3)

    # Second line, logitscale, with survival notation (with `use_overline`), and
    # other format display 1/2
    axs[1, 0].set(title="logit scale")
    axs[1, 0].set_yscale("logit", one_half="1/2", use_overline=True)
    axs[1, 0].set_ylim(1e-5, 1 - 1e-5)

    axs[1, 1].set(title="logit scale")
    axs[1, 1].set_yscale("logit", one_half="1/2", use_overline=True)
    axs[1, 1].set_xlim(0, xmax)
    axs[1, 1].set_ylim(0.8, 1 - 5e-3)

    # Third line, linear scale
    axs[2, 0].set(title="linear scale")
    axs[2, 0].set_ylim(0, 1)

    axs[2, 1].set(title="linear scale")
    axs[2, 1].set_xlim(0, xmax)
    axs[2, 1].set_ylim(0.8, 1)

    fig.tight_layout()
    plt.show()


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

   **Total running time of the script:** ( 0 minutes  1.852 seconds)


.. _sphx_glr_download_gallery_scales_logit_demo.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: logit_demo.py <logit_demo.py>`



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

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


.. only:: html

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

    Keywords: matplotlib code example, codex, python plot, pyplot
    `Gallery generated by Sphinx-Gallery
    <https://sphinx-gallery.readthedocs.io>`_