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

.. only:: html

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

        :ref:`Go to the end <sphx_glr_download_auto_examples_plot_algorithmOverview.py>`
        to download the full example code

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

.. _sphx_glr_auto_examples_plot_algorithmOverview.py:


Simulation overview
===================================

A simplified view of the meshing process, electrical network generation, 
and solution

.. GENERATED FROM PYTHON SOURCE LINES 11-89

.. code-block:: default


    import numpy as np
    import xcell as xc
    import matplotlib.pyplot as plt
    import matplotlib as mpl
    from xcell import visualizers
    from Common_nongallery import makeSynthStudy

    lite = False
    asDual = False
    study_path = "algoDemo"
    fname = "overview"
    if asDual:
        fname += "-dual"

    if lite:
        fname += "-lite"
        xc.colors.use_light_style()
        mpl.rcParams.update(
            {
                "figure.figsize": [2.0, 2.0],
                "font.size": 10.0,
                "lines.markersize": 5.0,
            }
        )
    else:
        mpl.rcParams.update({"figure.figsize": [2.0, 2.0], 
                             "font.size": 9, "figure.dpi": 500})

    showSrcCircuit = True
    lastGen = 4
    fullCircle = True

    xmax = 1

    rElec = xmax / 5


    k = 0.5

    if fullCircle:
        bbox = np.append(-xmax * np.ones(3), xmax * np.ones(3))
    else:
        bbox = np.append(xmax * np.zeros(3), xmax * np.ones(3))

    study, setup = makeSynthStudy(study_path, rElec=rElec, xmax=xmax)


    arts = []
    fig = plt.figure(constrained_layout=True)


    cm = visualizers.CurrentPlot(fig, study, fullarrow=True, 
                                 showInset=False, showAll=asDual)
    cm.prefs["colorbar"] = False
    cm.prefs["title"] = False
    cm.prefs["logScale"] = True
    ax = cm.fig.axes[0]

    ax.set_aspect("equal")
    # hide axes
    ax.set_xticks([])
    ax.set_yticks([])
    plt.title("spacer", color=xc.colors.NULL)


    if fullCircle:
        tht = np.linspace(0, 2 * np.pi)
    else:
        tht = np.linspace(0, np.pi / 2)
    arcX = rElec * np.cos(tht)
    arcY = rElec * np.sin(tht)

    src = ax.fill(arcX, arcY, color=mpl.cm.plasma(1.0), alpha=0.5, label="Source")

    noteColor = xc.colors.ACCENT_DARK
    # sphinx_gallery_defer_figures








.. GENERATED FROM PYTHON SOURCE LINES 90-96

Subdivide mesh
----------------

The target element size is proportional to its distance from the source. 
Elements larger than their target size are recursively split until all are 
smaller than their respective target.

.. GENERATED FROM PYTHON SOURCE LINES 96-141

.. code-block:: default


    for max_depth in range(1, lastGen + 1):
        l0Param = 2 ** (-max_depth * 0.2)

        setup.make_adaptive_grid(
            ref_pts=np.zeros((1, 3)),
            max_depth=np.array(max_depth, ndmin=1),
            min_l0_function=xc.general_metric,
            coefs=np.array(k, ndmin=1),
        )

        setup.finalize_mesh(regularize=False)
        coords = setup.mesh.node_coords

        coords, edges = setup.get_mesh_geometry()

        edge_points = visualizers.get_planar_edge_points(coords, edges)

        art = visualizers.show_2d_edges(ax, edge_points)
        title = visualizers.animated_title(
            fig,
            # title = ax.set_title(
            r"Split if $\ell_0$>%.2f r, depth %d" % (k, max_depth),
        )
        arts.append([art, title])

        if max_depth != lastGen:
            # show dot at center of elements needing split

            centers = []
            cvals = []
            els = setup.mesh.elements
            for el in els:
                l0 = el.l0
                center = el.origin + el.span / 2

                if l0 > (k * np.linalg.norm(center)):
                    centers.append(center)
                    cvals.append(l0)

            cpts = np.array(centers, ndmin=2)

            ctrArt = ax.scatter(cpts[:, 0], cpts[:, 1], c=noteColor, marker="o")
            arts.append([ctrArt, art, title])
    # sphinx_gallery_defer_figures







.. GENERATED FROM PYTHON SOURCE LINES 142-147

Electrical network
----------------------

Each element has discrete conducances between its vertices. All nodes inside 
a source are combined into a single electrical node

.. GENERATED FROM PYTHON SOURCE LINES 147-246

.. code-block:: default


    if showSrcCircuit:
        # outside, inside source
        nodeColors = np.array([[0, 0, 0, 0], [0.6, 0, 0, 1]], dtype=float)

        # edges outside, crossing, and fully inside source
        edge_colors = np.array([xc.colors.FAINT, [1, 0.5, 0, 1.0], [1, 0, 0, 1]])

        if asDual:
            nodeColors[0, -1] = 0.1
        else:
            edge_colors[0, -1] /= 2

        finalMesh = art
        if asDual:
            finalMesh.set_alpha(0.25)
            setup.mesh.element_type = "Face"
        setup.finalize_mesh()

        # hack to get plane elements only
        els, pts, _ = setup.get_elements_in_plane()

        m2 = xc.meshes.Mesh(bbox)
        m2.elements = els

        setup.mesh = m2
        if asDual:
            setup.mesh.element_type = "Face"
        setup.finalize_mesh()

        setup.set_boundary_nodes()
        setup.solve()

        inSrc = setup.node_role_table == 2

        edgePtInSrc = np.sum(inSrc[setup.edges], axis=1)

        mergeColors = edge_colors[edgePtInSrc]

        sX, sY = np.hsplit(setup.mesh.node_coords[inSrc, :-1], 2)
        nodeArt = plt.scatter(sX, sY, marker="*", c=noteColor)

        title = visualizers.animated_title(fig, "Combine nodes inside source")
        artset = [nodeArt, title]

        if asDual:
            artset.append(finalMesh)
        else:
            mergePts = setup.mesh.node_coords[setup.edges, :-1]
            edgeArt = visualizers.show_2d_edges(ax, mergePts, colors=mergeColors)
            artset.append(edgeArt)

        for ii in range(2):
            arts.append(artset)

        # replace with single source node
        srcIdx = inSrc.nonzero()[0][0]
        setup.edges[inSrc[setup.edges]] = srcIdx
        source = setup.current_sources[0]
        setup.mesh.node_coords[srcIdx] = source.geometry.center

        nTouchingSrc = np.sum(inSrc[setup.edges], axis=1)

        equivColors = mergeColors[nTouchingSrc]

        eqPts = setup.mesh.node_coords[setup.edges, :-1]
        reArt = visualizers.show_2d_edges(ax, eqPts, colors=equivColors)
        ctrArt = ax.scatter(0, 0, c=noteColor, marker="*")

        title = visualizers.animated_title(fig, "Equivalent circuit")

        eqArtists = [reArt, title, ctrArt]
        if asDual:
            eqArtists.append(finalMesh)

        for ii in range(3):
            arts.append(eqArtists)


        # %%
        # Solve for node voltages
        # -------------------------
        #
        # The resulting electrical network can be solved by nodal analysis, giving 
        # potential at the mesh nodes and current along edges
        #

        cm.add_simulation_data(setup, append=True)
        endArts = cm.get_artists(0)
        endArts.append(visualizers.animated_title(fig, "Current distribution"))

        if asDual:
            endArts.append(finalMesh)

        for ii in range(5):
            arts.append(endArts)


    ani = cm.animate_study(fname, artists=arts)



.. container:: sphx-glr-animation

    .. raw:: html

        
     <link rel="stylesheet"
     href="https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/css/font-awesome.min.css">
     <script language="javascript">
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         ua = navigator.userAgent;
         /* MSIE used to detect old browsers and Trident used to newer ones*/
         return ua.indexOf("MSIE ") > -1 || ua.indexOf("Trident/") > -1;
       }

       /* Define the Animation class */
       function Animation(frames, img_id, slider_id, interval, loop_select_id){
         this.img_id = img_id;
         this.slider_id = slider_id;
         this.loop_select_id = loop_select_id;
         this.interval = interval;
         this.current_frame = 0;
         this.direction = 0;
         this.timer = null;
         this.frames = new Array(frames.length);

         for (var i=0; i<frames.length; i++)
         {
          this.frames[i] = new Image();
          this.frames[i].src = frames[i];
         }
         var slider = document.getElementById(this.slider_id);
         slider.max = this.frames.length - 1;
         if (isInternetExplorer()) {
             // switch from oninput to onchange because IE <= 11 does not conform
             // with W3C specification. It ignores oninput and onchange behaves
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             slider.setAttribute('onchange', slider.getAttribute('oninput'));
             slider.setAttribute('oninput', null);
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       Animation.prototype.get_loop_state = function(){
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         return undefined;
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       Animation.prototype.first_frame = function()
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       Animation.prototype.last_frame = function()
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       Animation.prototype.slower = function()
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       Animation.prototype.faster = function()
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       Animation.prototype.anim_step_forward = function()
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     <style>
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         text-align: center;
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     input[type=range].anim-slider {
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         margin-right: auto;
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     .anim-buttons {
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     .anim-buttons button {
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     .anim-state label {
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     .anim-state input {
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     </style>

     <div class="animation">
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         /* set a timeout to make sure all the above elements are created before
            the object is initialized. */
         setTimeout(function() {
             animb5f888c877ea41139a0e1b37c47dfb4d = new Animation(frames, img_id, slider_id, 1000.0,
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.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    /Users/cgirard/repos/xcell/xcell/visualizers.py:1926: RuntimeWarning: invalid value encountered in true_divide
      mags = d0 / np.linalg.norm(d0, axis=1, keepdims=True)





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

   **Total running time of the script:** (0 minutes 2.480 seconds)


.. _sphx_glr_download_auto_examples_plot_algorithmOverview.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_algorithmOverview.py <plot_algorithmOverview.py>`

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

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


.. only:: html

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

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