.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "11_demos\python_packages\matplotlib\demo_matplotlibFuncAnimation.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

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

        :ref:`Go to the end <sphx_glr_download_11_demos_python_packages_matplotlib_demo_matplotlibFuncAnimation.py>`
        to download the full example code.

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

.. _sphx_glr_11_demos_python_packages_matplotlib_demo_matplotlibFuncAnimation.py:

1D func animation
===============

This example demonstrates how matplotlib can be used to create
animated movie and export these in the mp4 movie format.
It is shown here with some random generated 2d images, which ware plotted via matplotlib.
By using the figure handle the animation is created. So you can plot your matplot
figures in your own way and used some similar syntax to create an animation.

First of all you must install the matplotlib package, e.g. from
https://pypi.org/project/matplotlib/

Then you must install the ffmpeg codec. A detailed description can be found on:
http://blog.gregzaal.com/how-to-install-ffmpeg-on-windows/

The build version of the ffmpeg codec can be downloaded here:
http://ffmpeg.zeranoe.com/builds/

Download and unzip the builds files to your harddrive. Typically the folder is like:
C:\Program files\ffmpeg

The bin folder of ffmpeg must be added to the path variables of your system:
C:\Program files\ffmpeg\bin

Finally start the command prompt and run the command:
C:\Program files\ffmpeg\bin\ffmpeg.exe -codecs

or easier:
ffmpeg -codecs

.. GENERATED FROM PYTHON SOURCE LINES 32-35

.. code-block:: Python


    import numpy as np








.. GENERATED FROM PYTHON SOURCE LINES 36-37

Import namespaces

.. GENERATED FROM PYTHON SOURCE LINES 37-41

.. code-block:: Python

    import matplotlib.pyplot as plt
    from matplotlib.animation import FuncAnimation









.. GENERATED FROM PYTHON SOURCE LINES 42-43

Function to generate parametric plot

.. GENERATED FROM PYTHON SOURCE LINES 43-56

.. code-block:: Python

    def parametric_plot(T, e):
        t = np.linspace(0, T, 1000)
        x = np.cos(-t)
        y = np.cos(-t + e)

        plt.plot(x, y, color="b")

        plt.xlim(-1.1, 1.1)
        plt.ylim(-1.1, 1.1)
        plt.gca().set_aspect("equal", adjustable="box")
        plt.title(f"T = {T:.2f}, e = {e:.2f}")









.. GENERATED FROM PYTHON SOURCE LINES 57-58

Function to calculate ellipse parameters

.. GENERATED FROM PYTHON SOURCE LINES 58-82

.. code-block:: Python

    def calculate_ellipse_params(T, e):
        t = np.linspace(0, T, 1000)
        x = np.cos(-t)
        y = np.cos(-t + e)

        # Calculate width and height
        width = np.max(x) - np.min(x)
        height = np.max(y) - np.min(y)

        # Calculate covariance matrix
        covariance_matrix = np.cov(x, y)

        # Calculate eigenvalues and eigenvectors
        eigenvalues, eigenvectors = np.linalg.eig(covariance_matrix)

        # Get angle of rotation (angle of major axis with respect to x-axis)
        major_axis_index = np.argmax(eigenvalues)
        major_axis_vector = eigenvectors[:, major_axis_index]
        angle_rad = np.arctan2(major_axis_vector[1], major_axis_vector[0])
        angle_deg = np.degrees(angle_rad)

        return width, height, angle_deg









.. GENERATED FROM PYTHON SOURCE LINES 83-84

Calculate ellipse parameters for a full oscillation

.. GENERATED FROM PYTHON SOURCE LINES 84-104

.. code-block:: Python

    T_full = 2 * np.pi
    e_full = 45
    width, height, angle_deg = calculate_ellipse_params(T_full, e_full)

    # Create figure and plot ellipse
    fig, ax = plt.subplots()


    # Setting up the animation
    def update(frame):
        ax.clear()
        parametric_plot(frame, e)


    e = 45
    ani = FuncAnimation(
        fig, update, frames=np.linspace(0.01, T_full, 100), repeat=True, interval=50
    )

    plt.show()



.. 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, Microsoft 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_img8a559c4224b341a884fad4214b136b4b">
       <div class="anim-controls">
         <input id="_anim_slider8a559c4224b341a884fad4214b136b4b" type="range" class="anim-slider"
                name="points" min="0" max="1" step="1" value="0"
                oninput="anim8a559c4224b341a884fad4214b136b4b.set_frame(parseInt(this.value));">
         <div class="anim-buttons">
           <button title="Decrease speed" aria-label="Decrease speed" onclick="anim8a559c4224b341a884fad4214b136b4b.slower()">
               <i class="fa fa-minus"></i></button>
           <button title="First frame" aria-label="First frame" onclick="anim8a559c4224b341a884fad4214b136b4b.first_frame()">
             <i class="fa fa-fast-backward"></i></button>
           <button title="Previous frame" aria-label="Previous frame" onclick="anim8a559c4224b341a884fad4214b136b4b.previous_frame()">
               <i class="fa fa-step-backward"></i></button>
           <button title="Play backwards" aria-label="Play backwards" onclick="anim8a559c4224b341a884fad4214b136b4b.reverse_animation()">
               <i class="fa fa-play fa-flip-horizontal"></i></button>
           <button title="Pause" aria-label="Pause" onclick="anim8a559c4224b341a884fad4214b136b4b.pause_animation()">
               <i class="fa fa-pause"></i></button>
           <button title="Play" aria-label="Play" onclick="anim8a559c4224b341a884fad4214b136b4b.play_animation()">
               <i class="fa fa-play"></i></button>
           <button title="Next frame" aria-label="Next frame" onclick="anim8a559c4224b341a884fad4214b136b4b.next_frame()">
               <i class="fa fa-step-forward"></i></button>
           <button title="Last frame" aria-label="Last frame" onclick="anim8a559c4224b341a884fad4214b136b4b.last_frame()">
               <i class="fa fa-fast-forward"></i></button>
           <button title="Increase speed" aria-label="Increase speed" onclick="anim8a559c4224b341a884fad4214b136b4b.faster()">
               <i class="fa fa-plus"></i></button>
         </div>
         <form title="Repetition mode" aria-label="Repetition mode" action="#n" name="_anim_loop_select8a559c4224b341a884fad4214b136b4b"
               class="anim-state">
           <input type="radio" name="state" value="once" id="_anim_radio1_8a559c4224b341a884fad4214b136b4b"
                  >
           <label for="_anim_radio1_8a559c4224b341a884fad4214b136b4b">Once</label>
           <input type="radio" name="state" value="loop" id="_anim_radio2_8a559c4224b341a884fad4214b136b4b"
                  checked>
           <label for="_anim_radio2_8a559c4224b341a884fad4214b136b4b">Loop</label>
           <input type="radio" name="state" value="reflect" id="_anim_radio3_8a559c4224b341a884fad4214b136b4b"
                  >
           <label for="_anim_radio3_8a559c4224b341a884fad4214b136b4b">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_img8a559c4224b341a884fad4214b136b4b";
         var slider_id = "_anim_slider8a559c4224b341a884fad4214b136b4b";
         var loop_select_id = "_anim_loop_select8a559c4224b341a884fad4214b136b4b";
         var frames = new Array(100);

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     "


         /* set a timeout to make sure all the above elements are created before
            the object is initialized. */
         setTimeout(function() {
             anim8a559c4224b341a884fad4214b136b4b = new Animation(frames, img_id, slider_id, 50.0,
                                      loop_select_id);
         }, 0);
       })()
     </script>







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

   **Total running time of the script:** (0 minutes 9.699 seconds)


.. _sphx_glr_download_11_demos_python_packages_matplotlib_demo_matplotlibFuncAnimation.py:

.. only:: html

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

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

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

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

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

    .. container:: sphx-glr-download sphx-glr-download-zip

      :download:`Download zipped: demo_matplotlibFuncAnimation.zip <demo_matplotlibFuncAnimation.zip>`