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

.. only:: html

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

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

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

.. _sphx_glr_gallery_animation_random_walk.py:


=======================
Animated 3D random walk
=======================

.. GENERATED FROM PYTHON SOURCE LINES 7-75



.. 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">
       function isInternetExplorer() {
         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
             // like oninput. In contrast, Mircosoft Edge behaves correctly.
             slider.setAttribute('onchange', slider.getAttribute('oninput'));
             slider.setAttribute('oninput', null);
         }
         this.set_frame(this.current_frame);
       }

       Animation.prototype.get_loop_state = function(){
         var button_group = document[this.loop_select_id].state;
         for (var i = 0; i < button_group.length; i++) {
             var button = button_group[i];
             if (button.checked) {
                 return button.value;
             }
         }
         return undefined;
       }

       Animation.prototype.set_frame = function(frame){
         this.current_frame = frame;
         document.getElementById(this.img_id).src =
                 this.frames[this.current_frame].src;
         document.getElementById(this.slider_id).value = this.current_frame;
       }

       Animation.prototype.next_frame = function()
       {
         this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));
       }

       Animation.prototype.previous_frame = function()
       {
         this.set_frame(Math.max(0, this.current_frame - 1));
       }

       Animation.prototype.first_frame = function()
       {
         this.set_frame(0);
       }

       Animation.prototype.last_frame = function()
       {
         this.set_frame(this.frames.length - 1);
       }

       Animation.prototype.slower = function()
       {
         this.interval /= 0.7;
         if(this.direction > 0){this.play_animation();}
         else if(this.direction < 0){this.reverse_animation();}
       }

       Animation.prototype.faster = function()
       {
         this.interval *= 0.7;
         if(this.direction > 0){this.play_animation();}
         else if(this.direction < 0){this.reverse_animation();}
       }

       Animation.prototype.anim_step_forward = function()
       {
         this.current_frame += 1;
         if(this.current_frame < this.frames.length){
           this.set_frame(this.current_frame);
         }else{
           var loop_state = this.get_loop_state();
           if(loop_state == "loop"){
             this.first_frame();
           }else if(loop_state == "reflect"){
             this.last_frame();
             this.reverse_animation();
           }else{
             this.pause_animation();
             this.last_frame();
           }
         }
       }

       Animation.prototype.anim_step_reverse = function()
       {
         this.current_frame -= 1;
         if(this.current_frame >= 0){
           this.set_frame(this.current_frame);
         }else{
           var loop_state = this.get_loop_state();
           if(loop_state == "loop"){
             this.last_frame();
           }else if(loop_state == "reflect"){
             this.first_frame();
             this.play_animation();
           }else{
             this.pause_animation();
             this.first_frame();
           }
         }
       }

       Animation.prototype.pause_animation = function()
       {
         this.direction = 0;
         if (this.timer){
           clearInterval(this.timer);
           this.timer = null;
         }
       }

       Animation.prototype.play_animation = function()
       {
         this.pause_animation();
         this.direction = 1;
         var t = this;
         if (!this.timer) this.timer = setInterval(function() {
             t.anim_step_forward();
         }, this.interval);
       }

       Animation.prototype.reverse_animation = function()
       {
         this.pause_animation();
         this.direction = -1;
         var t = this;
         if (!this.timer) this.timer = setInterval(function() {
             t.anim_step_reverse();
         }, this.interval);
       }
     </script>

     <style>
     .animation {
         display: inline-block;
         text-align: center;
     }
     input[type=range].anim-slider {
         width: 374px;
         margin-left: auto;
         margin-right: auto;
     }
     .anim-buttons {
         margin: 8px 0px;
     }
     .anim-buttons button {
         padding: 0;
         width: 36px;
     }
     .anim-state label {
         margin-right: 8px;
     }
     .anim-state input {
         margin: 0;
         vertical-align: middle;
     }
     </style>

     <div class="animation">
       <img id="_anim_imgb13cfed5f239487488beb5f3fe25bd74">
       <div class="anim-controls">
         <input id="_anim_sliderb13cfed5f239487488beb5f3fe25bd74" type="range" class="anim-slider"
                name="points" min="0" max="1" step="1" value="0"
                oninput="animb13cfed5f239487488beb5f3fe25bd74.set_frame(parseInt(this.value));"></input>
         <div class="anim-buttons">
           <button title="Decrease speed" onclick="animb13cfed5f239487488beb5f3fe25bd74.slower()">
               <i class="fa fa-minus"></i></button>
           <button title="First frame" onclick="animb13cfed5f239487488beb5f3fe25bd74.first_frame()">
             <i class="fa fa-fast-backward"></i></button>
           <button title="Previous frame" onclick="animb13cfed5f239487488beb5f3fe25bd74.previous_frame()">
               <i class="fa fa-step-backward"></i></button>
           <button title="Play backwards" onclick="animb13cfed5f239487488beb5f3fe25bd74.reverse_animation()">
               <i class="fa fa-play fa-flip-horizontal"></i></button>
           <button title="Pause" onclick="animb13cfed5f239487488beb5f3fe25bd74.pause_animation()">
               <i class="fa fa-pause"></i></button>
           <button title="Play" onclick="animb13cfed5f239487488beb5f3fe25bd74.play_animation()">
               <i class="fa fa-play"></i></button>
           <button title="Next frame" onclick="animb13cfed5f239487488beb5f3fe25bd74.next_frame()">
               <i class="fa fa-step-forward"></i></button>
           <button title="Last frame" onclick="animb13cfed5f239487488beb5f3fe25bd74.last_frame()">
               <i class="fa fa-fast-forward"></i></button>
           <button title="Increase speed" onclick="animb13cfed5f239487488beb5f3fe25bd74.faster()">
               <i class="fa fa-plus"></i></button>
         </div>
         <form title="Repetition mode" action="#n" name="_anim_loop_selectb13cfed5f239487488beb5f3fe25bd74"
               class="anim-state">
           <input type="radio" name="state" value="once" id="_anim_radio1_b13cfed5f239487488beb5f3fe25bd74"
                  >
           <label for="_anim_radio1_b13cfed5f239487488beb5f3fe25bd74">Once</label>
           <input type="radio" name="state" value="loop" id="_anim_radio2_b13cfed5f239487488beb5f3fe25bd74"
                  checked>
           <label for="_anim_radio2_b13cfed5f239487488beb5f3fe25bd74">Loop</label>
           <input type="radio" name="state" value="reflect" id="_anim_radio3_b13cfed5f239487488beb5f3fe25bd74"
                  >
           <label for="_anim_radio3_b13cfed5f239487488beb5f3fe25bd74">Reflect</label>
         </form>
       </div>
     </div>


     <script language="javascript">
       /* Instantiate the Animation class. */
       /* The IDs given should match those used in the template above. */
       (function() {
         var img_id = "_anim_imgb13cfed5f239487488beb5f3fe25bd74";
         var slider_id = "_anim_sliderb13cfed5f239487488beb5f3fe25bd74";
         var loop_select_id = "_anim_loop_selectb13cfed5f239487488beb5f3fe25bd74";
         var frames = new Array(50);
    
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     "


         /* set a timeout to make sure all the above elements are created before
            the object is initialized. */
         setTimeout(function() {
             animb13cfed5f239487488beb5f3fe25bd74 = new Animation(frames, img_id, slider_id, 50.0,
                                      loop_select_id);
         }, 0);
       })()
     </script>






.. code-block:: default


    import numpy as np
    import matplotlib.pyplot as plt
    import matplotlib.animation as animation

    # Fixing random state for reproducibility
    np.random.seed(19680801)


    def gen_rand_line(length, dims=2):
        """
        Create a line using a random walk algorithm.

        Parameters
        ----------
        length : int
            The number of points of the line.
        dims : int
            The number of dimensions of the line.
        """
        line_data = np.empty((dims, length))
        line_data[:, 0] = np.random.rand(dims)
        for index in range(1, length):
            # scaling the random numbers by 0.1 so
            # movement is small compared to position.
            # subtraction by 0.5 is to change the range to [-0.5, 0.5]
            # to allow a line to move backwards.
            step = (np.random.rand(dims) - 0.5) * 0.1
            line_data[:, index] = line_data[:, index - 1] + step
        return line_data


    def update_lines(num, data_lines, lines):
        for line, data in zip(lines, data_lines):
            # NOTE: there is no .set_data() for 3 dim data...
            line.set_data(data[0:2, :num])
            line.set_3d_properties(data[2, :num])
        return lines


    # Attaching 3D axis to the figure
    fig = plt.figure()
    ax = fig.add_subplot(projection="3d")

    # Fifty lines of random 3-D lines
    data = [gen_rand_line(25, 3) for index in range(50)]

    # Creating fifty line objects.
    # NOTE: Can't pass empty arrays into 3d version of plot()
    lines = [ax.plot(dat[0, 0:1], dat[1, 0:1], dat[2, 0:1])[0] for dat in data]

    # Setting the axes properties
    ax.set_xlim3d([0.0, 1.0])
    ax.set_xlabel('X')

    ax.set_ylim3d([0.0, 1.0])
    ax.set_ylabel('Y')

    ax.set_zlim3d([0.0, 1.0])
    ax.set_zlabel('Z')

    ax.set_title('3D Test')

    # Creating the Animation object
    line_ani = animation.FuncAnimation(
        fig, update_lines, 50, fargs=(data, lines), interval=50)

    plt.show()


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

   **Total running time of the script:** ( 0 minutes  8.435 seconds)


.. _sphx_glr_download_gallery_animation_random_walk.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: random_walk.py <random_walk.py>`



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

     :download:`Download Jupyter notebook: random_walk.ipynb <random_walk.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>`_
