.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "examples/batch_mode/12-burning_ship_deep.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

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

        Click :ref:`here <sphx_glr_download_examples_batch_mode_12-burning_ship_deep.py>`
        to download the full example code

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

.. _sphx_glr_examples_batch_mode_12-burning_ship_deep.py:


===========================
12 - Burning Ship deep zoom
===========================

Example plot of a deep-zoom inside the Burning Ship set (power-2).

Like the Mandelbrot set, this set features "mini-ships", which are
smaller copies of the whole. The zoom proposed here displays the inner
decoration around a deep miniship (period 9622, size 3.40e-265).

Reference:
`fractalshades.models.Perturbation_burning_ship`

.. GENERATED FROM PYTHON SOURCE LINES 16-143



.. image-sg:: /examples/batch_mode/images/sphx_glr_12-burning_ship_deep_001.png
   :alt: 12 burning ship deep
   :srcset: /examples/batch_mode/images/sphx_glr_12-burning_ship_deep_001.png
   :class: sphx-glr-single-img





.. code-block:: default


    import os
    import numpy as np

    import fractalshades as fs
    import fractalshades.models as fsm

    import fractalshades.colors as fscolors
    from fractalshades.postproc import (
        Postproc_batch,
        Continuous_iter_pp,
        DEM_normal_pp,
        Raw_pp,
    )
    from fractalshades.colors.layers import (
        Color_layer,
        Bool_layer,
        Normal_map_layer,
        Blinn_lighting,
    )


    def plot(plot_dir):
        fs.settings.enable_multithreading = True
        fs.settings.inspect_calc = True

        # A simple showcase using perturbation technique
        x = "-1.996381122925929653294037828311253469966641852551354028279745849996384561656543300231734846372389200884473400326047402259215365299651000049307967220797174220920308250039037884064184875313550754352410343246674089430454249309097057276774162871180276065193880170743903875782"
        y = "0.000004763303728392770746014692362029865866711691612095974571331721507794709607604050981467065736920676037481378828276642944072069756835182953451109905077881061139887661561617020726899218853890425452233104923366681895875677542245236396274857406762304353824848557938906613374564"
        dx = "1.207782640899473e-261"
        precision = 271
        nx = 2400
        xy_ratio = 1.8
    
        # As this formula is non-analytic, we will 'unskew' based on the 
        # influencing miniship "size estimate" matrix.
        has_skew = True
        skew_00 = 0.659275816850581
        skew_01 = -0.5484220094485625
        skew_10 = 0.25710339801865756
        skew_11 = 1.3029430412388974

        calc_name="Burning_ship"
        colormap = fscolors.cmap_register["peacock"]
        colormap.clip = "repeat"

        # Run the calculation
        f = fsm.Perturbation_burning_ship(plot_dir)

        f.zoom(
            precision=precision,
            x=x,
            y=y,
            dx=dx,
            nx=nx,
            xy_ratio=xy_ratio,
            theta_deg=0., 
            projection="cartesian",
            has_skew=has_skew,
            skew_00=skew_00,
            skew_01=skew_01,
            skew_10=skew_10,
            skew_11=skew_11
        )

        f.calc_std_div(
            calc_name=calc_name,
            subset=None,
            max_iter=150000,
            M_divergence=1.e3,
            BLA_eps= 1.e-6,
            calc_hessian=True
        )

        # Plot the image
        pp = Postproc_batch(f, calc_name)
        pp.add_postproc("cont_iter", Continuous_iter_pp())
        pp.add_postproc("interior", Raw_pp("stop_reason", func="x != 1."))
        pp.add_postproc("DEM_map", DEM_normal_pp(kind="potential"))

        plotter = fs.Fractal_plotter(pp)   
        plotter.add_layer(Bool_layer("interior", output=False))
        plotter.add_layer(Normal_map_layer("DEM_map", max_slope=40, output=False))
        plotter.add_layer(Color_layer(
                "cont_iter",
                func=lambda x: np.log(x),
                colormap=colormap,
                probes_z=[10.975318, 10.977222],
                output=True
        ))

        plotter["cont_iter"].set_mask(plotter["interior"], mask_color=(0., 0., 0.))
        plotter["DEM_map"].set_mask(plotter["interior"], mask_color=(0., 0., 0.))

        # This is where we define the lighting (here 2 ccolored light sources)
        # and apply the shading
        light = Blinn_lighting(0.4, np.array([1., 1., 1.]))
        light.add_light_source(
            k_diffuse=0.2,
            k_specular=30.,
            shininess=400.,
            polar_angle=0.,
            azimuth_angle=10.,
            color=np.array([1.0, 1.0, 0.95]))
        light.add_light_source(
            k_diffuse=0.8,
            k_specular=0.,
            shininess=400.,
            polar_angle=0.,
            azimuth_angle=10.,
            color=np.array([1., 1., 1.]))
        plotter["cont_iter"].shade(plotter["DEM_map"], light)

        plotter.plot()


    if __name__ == "__main__":
        # Some magic to get the directory for plotting: with a name that matches
        # the file or a temporary dir if we are building the documentation
        try:
            realpath = os.path.realpath(__file__)
            plot_dir = os.path.splitext(realpath)[0]
            plot(plot_dir)
        except NameError:
            import tempfile
            with tempfile.TemporaryDirectory() as plot_dir:
                fs.utils.exec_no_output(plot, plot_dir)


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

   **Total running time of the script:** ( 0 minutes  44.223 seconds)


.. _sphx_glr_download_examples_batch_mode_12-burning_ship_deep.py:

.. only:: html

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


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

      :download:`Download Python source code: 12-burning_ship_deep.py <12-burning_ship_deep.py>`

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

      :download:`Download Jupyter notebook: 12-burning_ship_deep.ipynb <12-burning_ship_deep.ipynb>`


.. only:: html

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

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