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<!DOCTYPE html>
<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Tutorial · Makie.jl</title><link href="https://fonts.googleapis.com/css?family=Lato|Roboto+Mono" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.0/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.11.1/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="assets/documenter.js"></script><script src="siteinfo.js"></script><script src="../versions.js"></script><link 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class="is-active"><a class="tocitem" href="basic-tutorial.html">Tutorial</a><ul class="internal"><li><a class="tocitem" href="#Creating-a-Scene"><span>Creating a <code>Scene</code></span></a></li><li><a class="tocitem" href="#Adding-plots-to-a-Scene"><span>Adding plots to a <code>Scene</code></span></a></li><li><a class="tocitem" href="#Changing-Attributes"><span>Changing Attributes</span></a></li><li><a class="tocitem" href="#Plotting-Observables"><span>Plotting <code>Observables</code></span></a></li><li><a class="tocitem" href="#Saving-Static-Plots"><span>Saving Static Plots</span></a></li><li><a class="tocitem" href="#Creating-Animations"><span>Creating Animations</span></a></li><li><a class="tocitem" href="#Summary"><span>Summary</span></a></li></ul></li><li><a class="tocitem" href="animation.html">Animations</a></li><li><a class="tocitem" href="interaction.html">Observables & Interaction</a></li><li><a class="tocitem" href="plotting_functions.html">Plotting Functions</a></li></ul></li><li><span class="tocitem">Documentation</span><ul><li><a class="tocitem" href="scenes.html">Scenes</a></li><li><a class="tocitem" href="generated/axis.html">Axis</a></li><li><a class="tocitem" href="convenience.html">Convenience functions</a></li><li><a class="tocitem" href="generated/signatures.html">Plot function signatures</a></li><li><a class="tocitem" href="generated/plot-attributes.html">Plot attributes</a></li><li><a class="tocitem" href="generated/colors.html">Colors</a></li><li><a class="tocitem" href="lighting.html">Lighting</a></li><li><a class="tocitem" href="theming.html">Config file</a></li><li><a class="tocitem" href="cameras.html">Cameras</a></li><li><a class="tocitem" href="recipes.html">Plot Recipes</a></li><li><a class="tocitem" href="output.html">Output</a></li><li><a class="tocitem" href="backends.html">Backends</a></li><li><a class="tocitem" href="troubleshooting.html">Troubleshooting</a></li></ul></li><li><span class="tocitem">MakieLayout</span><ul><li><a class="tocitem" href="makielayout/tutorial.html">Tutorial</a></li><li><a class="tocitem" href="makielayout/grids.html">GridLayout</a></li><li><a class="tocitem" href="makielayout/laxis.html">LAxis</a></li><li><a class="tocitem" href="makielayout/special_plots.html">Special Plots</a></li><li><a class="tocitem" href="makielayout/llegend.html">LLegend</a></li><li><a class="tocitem" href="makielayout/layoutables_examples.html">Layoutables Examples</a></li><li><a class="tocitem" href="makielayout/theming.html">Theming Layoutables</a></li><li><a class="tocitem" href="makielayout/layouting.html">How Layouting Works</a></li><li><a class="tocitem" href="makielayout/faq.html">Frequently Asked Questions</a></li><li><a class="tocitem" href="makielayout/reference.html">API Reference</a></li></ul></li><li><span class="tocitem">Developer Documentation</span><ul><li><a class="tocitem" href="why-makie.html">Why <code>Makie</code>?</a></li><li><a class="tocitem" href="devdocs.html">Devdocs</a></li><li><a class="tocitem" href="abstractplotting_api.html">AbstractPlotting Reference</a></li></ul></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">Basics</a></li><li class="is-active"><a href="basic-tutorial.html">Tutorial</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href="basic-tutorial.html">Tutorial</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/JuliaPlots/AbstractPlotting.jl/blob/master/docs/src/basic-tutorial.md#" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Tutorial"><a class="docs-heading-anchor" href="#Tutorial">Tutorial</a><a id="Tutorial-1"></a><a class="docs-heading-anchor-permalink" href="#Tutorial" title="Permalink"></a></h1><p>Here is a quick tutorial to get you started. We assume you have <a href="https://julialang.org/">Julia</a> and <code>GLMakie.jl</code> (or one of the other backends) installed already.</p><p>First, we import GLMakie, which might take a little bit of time because there is a lot to precompile. Just sit tight!</p><pre><code class="language-julia">using GLMakie</code></pre><p>For this tutorial, we also call <code>AbstractPlotting.inline!(true)</code> so plots appear inline after each example. Otherwise, an interactive window will open when you return a <code>Scene</code>.</p><pre><code class="language-julia">using AbstractPlotting
AbstractPlotting.inline!(true)</code></pre><div class="admonition is-info"><header class="admonition-header">Note</header><div class="admonition-body"><p>A <code>Scene</code> is usually displayed whenever it is returned in global scope (e.g. in the REPL). To display a Scene from within a local scope, like from within a function, you can directly call <code>display(scene)</code>. </p></div></div><h2 id="Creating-a-Scene"><a class="docs-heading-anchor" href="#Creating-a-Scene">Creating a <code>Scene</code></a><a id="Creating-a-Scene-1"></a><a class="docs-heading-anchor-permalink" href="#Creating-a-Scene" title="Permalink"></a></h2><p>A <code>Scene</code> object contains plot objects such as <code>lines</code>, <code>scatter</code>s and <code>poly</code>s, and is the basis of a Makie figure. You can initialize it like so:</p><pre><code class="language-julia">scene = Scene()</code></pre><img src="data:image/png;base64,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" /><p>The scene is empty as we haven't put anything into it, yet.</p><h2 id="Adding-plots-to-a-Scene"><a class="docs-heading-anchor" href="#Adding-plots-to-a-Scene">Adding plots to a <code>Scene</code></a><a id="Adding-plots-to-a-Scene-1"></a><a class="docs-heading-anchor-permalink" href="#Adding-plots-to-a-Scene" title="Permalink"></a></h2><p>Let's create a scatter plot. We make a vector of points in a circle and use <code>scatter!</code> to plot them into our scene. Each plot type (e.g. <code>Scatter</code>) in Makie has a normal version (<code>scatter</code>) and a mutating version (<code>scatter!</code>). The normal version returns a <code>Scene</code> with the plot in it, the mutating version adds that plot to an existing <code>Scene</code>. Here we use the mutating version because we have a scene already.</p><p>Mutating plotting functions return the changed scene by default.</p><pre><code class="language-julia">points = [Point2f0(cos(t), sin(t)) for t in LinRange(0, 2pi, 20)]
colors = 1:20
scatter!(scene, points, color = colors, markersize = 15)</code></pre><img 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" /><p>As you can see, we also got a basic 2D axis with the <code>scatter!</code> command. If you use a 3D plotting function, the axis will be a 3D version as well. Sometimes you don't want this automatic axis. In that case, you can use the keyword argument <code>show_axis = false</code>.</p><div class="admonition is-info"><header class="admonition-header">Note</header><div class="admonition-body"><p>You can put your mouse in the plot window and scroll to zoom. <strong>Right click and drag</strong> lets you pan around the scene, and <strong>left click and drag</strong> lets you do selection zoom (in 2D plots), or orbit around the scene (in 3D plots).</p></div></div><h2 id="Changing-Attributes"><a class="docs-heading-anchor" href="#Changing-Attributes">Changing Attributes</a><a id="Changing-Attributes-1"></a><a class="docs-heading-anchor-permalink" href="#Changing-Attributes" title="Permalink"></a></h2><p>One great feature of Makie is that it uses <code>Observables</code> (or <code>Nodes</code> as a Makie-specific alias), which make it easy to write visualizations that can be updated dynamically with new data.</p><p>An <code>Observable</code> is a container object which notifies all its listeners whenever its content changes. Put simply, using <code>Observables</code>, if your input data changes your plots change as well.</p><p>Plot objects usually have a collection of attributes, which are observables. If you change them, the plots update and the scene will reflect that. Let's try to change the marker size of the scatter we created last.</p><p>To access the <code>Scatter</code> object we added to the scene, we can index into the scene. The scatter is the last object, so we can use <code>scene[end]</code>. Then we change the markersize attribute:</p><pre><code class="language-julia">scatterobject = scene[end]
scatterobject.markersize = 30
scene</code></pre><img src="data:image/png;base64,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" /><h2 id="Plotting-Observables"><a class="docs-heading-anchor" href="#Plotting-Observables">Plotting <code>Observables</code></a><a id="Plotting-Observables-1"></a><a class="docs-heading-anchor-permalink" href="#Plotting-Observables" title="Permalink"></a></h2><p>Let's add a line plot to our scene. The corresponding function is <code>lines!</code>.</p><p>Imagine that you want to interactively visualize different sine functions along an interval. That means the x values are fixed but the y values depend on the frequency and phase of the sine function. Such a dependency is easy to express with <code>Observables</code> or <code>Nodes</code> for short. Usually, all plot functions accept their input arguments and attributes as <code>Observables</code>. If you don't pass <code>Observables</code>, they get converted internally anyway.</p><pre><code class="language-julia">xs = -pi:0.01:pi
frequency = Node(3.0) # Node === Observable
phase = Node(0.0)
ys = lift(frequency, phase) do fr, ph
@. 0.3 * sin(fr * xs - ph)
end
lines!(scene, xs, ys, color = :blue, linewidth = 3)</code></pre><img 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" /><p>You can see that our sine function was nicely visualized. The <code>lift</code> function takes as its first input a function which computes its output from the other arguments, <code>frequency</code> and <code>phase</code> in this case, which are <code>Observables</code>. The output is then stored inside another <code>Observable</code>, <code>ys</code>. Therefore, <code>ys</code> always contains the result of the sine function with the current <code>frequency</code> and <code>phase</code> applied to the values in <code>xs</code>. (If you haven't used the <code>do</code> syntax before, it is Julia's way of passing an anonymous function as the first argument to another function. It's very useful for dealing with <code>Observables</code>.)</p><div class="admonition is-info"><header class="admonition-header">Note</header><div class="admonition-body"><p>For short functions, there is a really convenient macro alternative to <code>lift</code>. Instead of what we wrote above, we could have written <code>ys = @lift(0.3 * sin($frequency .* xs .- $phase))</code>. Just prefix expressions that reference observables with a <code>$</code> symbol.</p></div></div><p>Now, we can change the <code>frequency</code> to a different value and the plot will change with it. <code>Observables</code> are mutated with empty square brackets (like <code>Ref</code>s).</p><pre><code class="language-julia">frequency[] = 9
scene</code></pre><img 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" /><p>You see that the line plot has changed to reflect the new frequency. That's how easy it is to create a dynamic visualization with <code>Observables</code>. Imagine the opportunities to hook Observables up with sliders and buttons to control a complex plot.</p><h2 id="Saving-Static-Plots"><a class="docs-heading-anchor" href="#Saving-Static-Plots">Saving Static Plots</a><a id="Saving-Static-Plots-1"></a><a class="docs-heading-anchor-permalink" href="#Saving-Static-Plots" title="Permalink"></a></h2><p>Makie overloads the <code>FileIO</code> interface. This is how you save this scene as a <code>png</code>:</p><pre><code class="language-julia">save("sineplot.png", scene)</code></pre><div class="admonition is-info"><header class="admonition-header">Note</header><div class="admonition-body"><p>Different backends have different possible output formats. <code>GLMakie</code> as a GPU-powered backend can only output bitmaps like <code>png</code>. <code>CairoMakie</code> can output high-quality vector graphics such as <code>svg</code> and <code>pdf</code>, on the other hand those formats don't work well (or at all) with 3D content.</p></div></div><p>See <a href="output.html#Output">Output</a> for more information on this.</p><h2 id="Creating-Animations"><a class="docs-heading-anchor" href="#Creating-Animations">Creating Animations</a><a id="Creating-Animations-1"></a><a class="docs-heading-anchor-permalink" href="#Creating-Animations" title="Permalink"></a></h2><p>Often, we want to create small videos that show how a visualization changes over time. This is really easy to do if we already have a plot with observables. Once we have our scene, we can just change the observables that we want in a closure function and pass that to <code>record</code>, which creates a video for us.</p><p>We can just re-use our existing scene. Let's change the phase over time. We just need to supply an iterator with as many elements as we want frames in our video.</p><pre><code class="language-julia">framerate = 30 # fps
timestamps = 0:1/framerate:3
record(scene, "phase_animation.mp4", timestamps; framerate = framerate) do t
phase[] = 2 * t * 2pi
end</code></pre><p>And here is our result, as we expect the sine function moves sideways.</p><p><video src="phase_animation.mp4" controls="true" title="phase_animation"><a href="phase_animation.mp4">phase_animation</a></video></p><p>For more information, see the <a href="animation.html#Animations">Animations</a> and the <a href="interaction.html#Observables-and-Interaction">Observables & Interaction</a> sections.</p><h2 id="Summary"><a class="docs-heading-anchor" href="#Summary">Summary</a><a id="Summary-1"></a><a class="docs-heading-anchor-permalink" href="#Summary" title="Permalink"></a></h2><p>That concludes our short tutorial. We hope you have learned how to create basic plots with Makie and how easy it is to change and animate them using Observables.</p><p>You can check out more examples that you can adapt in the <a href="http://juliaplots.org/MakieReferenceImages/gallery/index.html">Example Gallery</a>.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="index.html">« Home</a><a class="docs-footer-nextpage" href="animation.html">Animations »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> on <span class="colophon-date" title="Tuesday 22 December 2020 03:09">Tuesday 22 December 2020</span>. Using Julia version 1.3.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>