620 lines
360 KiB
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620 lines
360 KiB
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</head>
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<body>
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<h1 class="title toc-ignore">Aesthetic specifications</h1>
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<p>This vignette summarises the various formats that grid drawing
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functions take. Most of this information is available scattered
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throughout the R documentation. This appendix brings it all together in
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one place.</p>
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<div id="colour-and-fill" class="section level2">
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<h2>Colour and fill</h2>
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<p>Almost every geom has either colour, fill, or both. Colours and fills
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can be specified in the following ways:</p>
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<ul>
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<li><p>A <strong>name</strong>, e.g., <code>"red"</code>. R has 657
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built-in named colours, which can be listed with
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<code>colours()</code>.</p></li>
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<li><p>An <strong>rgb specification</strong>, with a string of the form
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<code>"#RRGGBB"</code> where each of the pairs <code>RR</code>,
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<code>GG</code>, <code>BB</code> consists of two hexadecimal digits
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giving a value in the range <code>00</code> to <code>FF</code></p>
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<p>You can optionally make the colour transparent by using the form
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<code>"#RRGGBBAA"</code>.</p></li>
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<li><p>An <strong>NA</strong>, for a completely transparent
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colour.</p></li>
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<li><p>The <a href="https://github.com/cwickham/munsell">munsell</a>
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package, by Charlotte Wickham, makes it easy to choose specific colours
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using a system designed by Albert H. Munsell. If you invest a little in
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learning the system, it provides a convenient way of specifying
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aesthetically pleasing colours.</p>
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<div class="sourceCode" id="cb1"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb1-1"><a href="#cb1-1" tabindex="-1"></a>munsell<span class="sc">::</span><span class="fu">mnsl</span>(<span class="st">"5PB 5/10"</span>)</span>
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<span id="cb1-2"><a href="#cb1-2" tabindex="-1"></a><span class="co">#> [1] "#447DBF"</span></span></code></pre></div></li>
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</ul>
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</div>
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<div id="lines" class="section level2">
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<h2>Lines</h2>
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<p>As well as <code>colour</code>, the appearance of a line is affected
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by <code>linewidth</code>, <code>linetype</code>, <code>linejoin</code>
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and <code>lineend</code>.</p>
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<div id="sec:line-type-spec" class="section level3">
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<h3>Line type</h3>
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<p>Line types can be specified with:</p>
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<ul>
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<li><p>An <strong>integer</strong> or <strong>name</strong>: 0 = blank,
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1 = solid, 2 = dashed, 3 = dotted, 4 = dotdash, 5 = longdash, 6 =
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twodash, as shown below:</p>
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<div class="sourceCode" id="cb2"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb2-1"><a href="#cb2-1" tabindex="-1"></a>lty <span class="ot"><-</span> <span class="fu">c</span>(<span class="st">"solid"</span>, <span class="st">"dashed"</span>, <span class="st">"dotted"</span>, <span class="st">"dotdash"</span>, <span class="st">"longdash"</span>, <span class="st">"twodash"</span>)</span>
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<span id="cb2-2"><a href="#cb2-2" tabindex="-1"></a>linetypes <span class="ot"><-</span> <span class="fu">data.frame</span>(</span>
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<span id="cb2-3"><a href="#cb2-3" tabindex="-1"></a> <span class="at">y =</span> <span class="fu">seq_along</span>(lty),</span>
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<span id="cb2-4"><a href="#cb2-4" tabindex="-1"></a> <span class="at">lty =</span> lty</span>
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<span id="cb2-5"><a href="#cb2-5" tabindex="-1"></a>) </span>
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<span id="cb2-6"><a href="#cb2-6" tabindex="-1"></a><span class="fu">ggplot</span>(linetypes, <span class="fu">aes</span>(<span class="dv">0</span>, y)) <span class="sc">+</span> </span>
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<span id="cb2-7"><a href="#cb2-7" tabindex="-1"></a> <span class="fu">geom_segment</span>(<span class="fu">aes</span>(<span class="at">xend =</span> <span class="dv">5</span>, <span class="at">yend =</span> y, <span class="at">linetype =</span> lty)) <span class="sc">+</span> </span>
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<span id="cb2-8"><a href="#cb2-8" tabindex="-1"></a> <span class="fu">scale_linetype_identity</span>() <span class="sc">+</span> </span>
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<span id="cb2-9"><a href="#cb2-9" tabindex="-1"></a> <span class="fu">geom_text</span>(<span class="fu">aes</span>(<span class="at">label =</span> lty), <span class="at">hjust =</span> <span class="dv">0</span>, <span class="at">nudge_y =</span> <span class="fl">0.2</span>) <span class="sc">+</span></span>
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<span id="cb2-10"><a href="#cb2-10" tabindex="-1"></a> <span class="fu">scale_x_continuous</span>(<span class="cn">NULL</span>, <span class="at">breaks =</span> <span class="cn">NULL</span>) <span class="sc">+</span> </span>
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<span id="cb2-11"><a href="#cb2-11" tabindex="-1"></a> <span class="fu">scale_y_reverse</span>(<span class="cn">NULL</span>, <span class="at">breaks =</span> <span class="cn">NULL</span>)</span></code></pre></div>
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<p><img 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" alt="A series of 6 horizontal lines with different line types. From top-to-bottom they are titled 'solid', 'dashed', 'dotted', 'dotdash', 'longdash', 'twodash'." /></p></li>
|
||
<li><p>The lengths of on/off stretches of line. This is done with a
|
||
string containing 2, 4, 6, or 8 hexadecimal digits which give the
|
||
lengths of consecutive lengths. For example, the string
|
||
<code>"33"</code> specifies three units on followed by three off and
|
||
<code>"3313"</code> specifies three units on followed by three off
|
||
followed by one on and finally three off.</p>
|
||
<div class="sourceCode" id="cb3"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb3-1"><a href="#cb3-1" tabindex="-1"></a>lty <span class="ot"><-</span> <span class="fu">c</span>(<span class="st">"11"</span>, <span class="st">"18"</span>, <span class="st">"1f"</span>, <span class="st">"81"</span>, <span class="st">"88"</span>, <span class="st">"8f"</span>, <span class="st">"f1"</span>, <span class="st">"f8"</span>, <span class="st">"ff"</span>)</span>
|
||
<span id="cb3-2"><a href="#cb3-2" tabindex="-1"></a>linetypes <span class="ot"><-</span> <span class="fu">data.frame</span>(</span>
|
||
<span id="cb3-3"><a href="#cb3-3" tabindex="-1"></a> <span class="at">y =</span> <span class="fu">seq_along</span>(lty),</span>
|
||
<span id="cb3-4"><a href="#cb3-4" tabindex="-1"></a> <span class="at">lty =</span> lty</span>
|
||
<span id="cb3-5"><a href="#cb3-5" tabindex="-1"></a>) </span>
|
||
<span id="cb3-6"><a href="#cb3-6" tabindex="-1"></a><span class="fu">ggplot</span>(linetypes, <span class="fu">aes</span>(<span class="dv">0</span>, y)) <span class="sc">+</span> </span>
|
||
<span id="cb3-7"><a href="#cb3-7" tabindex="-1"></a> <span class="fu">geom_segment</span>(<span class="fu">aes</span>(<span class="at">xend =</span> <span class="dv">5</span>, <span class="at">yend =</span> y, <span class="at">linetype =</span> lty)) <span class="sc">+</span> </span>
|
||
<span id="cb3-8"><a href="#cb3-8" tabindex="-1"></a> <span class="fu">scale_linetype_identity</span>() <span class="sc">+</span> </span>
|
||
<span id="cb3-9"><a href="#cb3-9" tabindex="-1"></a> <span class="fu">geom_text</span>(<span class="fu">aes</span>(<span class="at">label =</span> lty), <span class="at">hjust =</span> <span class="dv">0</span>, <span class="at">nudge_y =</span> <span class="fl">0.2</span>) <span class="sc">+</span></span>
|
||
<span id="cb3-10"><a href="#cb3-10" tabindex="-1"></a> <span class="fu">scale_x_continuous</span>(<span class="cn">NULL</span>, <span class="at">breaks =</span> <span class="cn">NULL</span>) <span class="sc">+</span> </span>
|
||
<span id="cb3-11"><a href="#cb3-11" tabindex="-1"></a> <span class="fu">scale_y_reverse</span>(<span class="cn">NULL</span>, <span class="at">breaks =</span> <span class="cn">NULL</span>)</span></code></pre></div>
|
||
<p><img 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" alt="A series of 9 horizontal lines with different line types. Each line is titled by two hexadecimal digits that determined the lengths of dashes and gaps." /></p>
|
||
<p>The five standard dash-dot line types described above correspond to
|
||
44, 13, 1343, 73, and 2262.</p></li>
|
||
</ul>
|
||
</div>
|
||
<div id="linewidth" class="section level3">
|
||
<h3>Linewidth</h3>
|
||
<p>Due to a historical error, the unit of linewidth is roughly 0.75 mm.
|
||
Making it exactly 1 mm would change a very large number of existing
|
||
plots, so we’re stuck with this mistake.</p>
|
||
</div>
|
||
<div id="line-endjoin-paramters" class="section level3">
|
||
<h3>Line end/join paramters</h3>
|
||
<ul>
|
||
<li><p>The appearance of the line end is controlled by the
|
||
<code>lineend</code> paramter, and can be one of “round”, “butt” (the
|
||
default), or “square”.</p>
|
||
<div class="sourceCode" id="cb4"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb4-1"><a href="#cb4-1" tabindex="-1"></a>df <span class="ot"><-</span> <span class="fu">data.frame</span>(<span class="at">x =</span> <span class="dv">1</span><span class="sc">:</span><span class="dv">3</span>, <span class="at">y =</span> <span class="fu">c</span>(<span class="dv">4</span>, <span class="dv">1</span>, <span class="dv">9</span>))</span>
|
||
<span id="cb4-2"><a href="#cb4-2" tabindex="-1"></a>base <span class="ot"><-</span> <span class="fu">ggplot</span>(df, <span class="fu">aes</span>(x, y)) <span class="sc">+</span> <span class="fu">xlim</span>(<span class="fl">0.5</span>, <span class="fl">3.5</span>) <span class="sc">+</span> <span class="fu">ylim</span>(<span class="dv">0</span>, <span class="dv">10</span>)</span>
|
||
<span id="cb4-3"><a href="#cb4-3" tabindex="-1"></a>base <span class="sc">+</span> </span>
|
||
<span id="cb4-4"><a href="#cb4-4" tabindex="-1"></a> <span class="fu">geom_path</span>(<span class="at">linewidth =</span> <span class="dv">10</span>) <span class="sc">+</span> </span>
|
||
<span id="cb4-5"><a href="#cb4-5" tabindex="-1"></a> <span class="fu">geom_path</span>(<span class="at">linewidth =</span> <span class="dv">1</span>, <span class="at">colour =</span> <span class="st">"red"</span>)</span>
|
||
<span id="cb4-6"><a href="#cb4-6" tabindex="-1"></a></span>
|
||
<span id="cb4-7"><a href="#cb4-7" tabindex="-1"></a>base <span class="sc">+</span> </span>
|
||
<span id="cb4-8"><a href="#cb4-8" tabindex="-1"></a> <span class="fu">geom_path</span>(<span class="at">linewidth =</span> <span class="dv">10</span>, <span class="at">lineend =</span> <span class="st">"round"</span>) <span class="sc">+</span> </span>
|
||
<span id="cb4-9"><a href="#cb4-9" tabindex="-1"></a> <span class="fu">geom_path</span>(<span class="at">linewidth =</span> <span class="dv">1</span>, <span class="at">colour =</span> <span class="st">"red"</span>)</span>
|
||
<span id="cb4-10"><a href="#cb4-10" tabindex="-1"></a></span>
|
||
<span id="cb4-11"><a href="#cb4-11" tabindex="-1"></a>base <span class="sc">+</span> </span>
|
||
<span id="cb4-12"><a href="#cb4-12" tabindex="-1"></a> <span class="fu">geom_path</span>(<span class="at">linewidth =</span> <span class="dv">10</span>, <span class="at">lineend =</span> <span class="st">"square"</span>) <span class="sc">+</span> </span>
|
||
<span id="cb4-13"><a href="#cb4-13" tabindex="-1"></a> <span class="fu">geom_path</span>(<span class="at">linewidth =</span> <span class="dv">1</span>, <span class="at">colour =</span> <span class="st">"red"</span>)</span></code></pre></div>
|
||
<p><img 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" alt="A plot showing a line with an angle. A thinner red line is placed over a thicker black line. The black line ends where the red line ends." width="30%" /><img 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" alt="A plot showing a line with an angle. A thinner red line is placed over a thicker black line. The black line ends past where the red line ends, and ends in a semicircle." width="30%" /><img 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" alt="A plot showing a line with an angle. A thinner red line is placed over a thicker black line. The black line ends past where the red line ends, and ends in a square shape." width="30%" /></p></li>
|
||
<li><p>The appearance of line joins is controlled by
|
||
<code>linejoin</code> and can be one of “round” (the default), “mitre”,
|
||
or “bevel”.</p>
|
||
<div class="sourceCode" id="cb5"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb5-1"><a href="#cb5-1" tabindex="-1"></a>df <span class="ot"><-</span> <span class="fu">data.frame</span>(<span class="at">x =</span> <span class="dv">1</span><span class="sc">:</span><span class="dv">3</span>, <span class="at">y =</span> <span class="fu">c</span>(<span class="dv">9</span>, <span class="dv">1</span>, <span class="dv">9</span>))</span>
|
||
<span id="cb5-2"><a href="#cb5-2" tabindex="-1"></a>base <span class="ot"><-</span> <span class="fu">ggplot</span>(df, <span class="fu">aes</span>(x, y)) <span class="sc">+</span> <span class="fu">ylim</span>(<span class="dv">0</span>, <span class="dv">10</span>)</span>
|
||
<span id="cb5-3"><a href="#cb5-3" tabindex="-1"></a>base <span class="sc">+</span> </span>
|
||
<span id="cb5-4"><a href="#cb5-4" tabindex="-1"></a> <span class="fu">geom_path</span>(<span class="at">linewidth =</span> <span class="dv">10</span>) <span class="sc">+</span> </span>
|
||
<span id="cb5-5"><a href="#cb5-5" tabindex="-1"></a> <span class="fu">geom_path</span>(<span class="at">linewidth =</span> <span class="dv">1</span>, <span class="at">colour =</span> <span class="st">"red"</span>)</span>
|
||
<span id="cb5-6"><a href="#cb5-6" tabindex="-1"></a></span>
|
||
<span id="cb5-7"><a href="#cb5-7" tabindex="-1"></a>base <span class="sc">+</span> </span>
|
||
<span id="cb5-8"><a href="#cb5-8" tabindex="-1"></a> <span class="fu">geom_path</span>(<span class="at">linewidth =</span> <span class="dv">10</span>, <span class="at">linejoin =</span> <span class="st">"mitre"</span>) <span class="sc">+</span> </span>
|
||
<span id="cb5-9"><a href="#cb5-9" tabindex="-1"></a> <span class="fu">geom_path</span>(<span class="at">linewidth =</span> <span class="dv">1</span>, <span class="at">colour =</span> <span class="st">"red"</span>)</span>
|
||
<span id="cb5-10"><a href="#cb5-10" tabindex="-1"></a></span>
|
||
<span id="cb5-11"><a href="#cb5-11" tabindex="-1"></a>base <span class="sc">+</span> </span>
|
||
<span id="cb5-12"><a href="#cb5-12" tabindex="-1"></a> <span class="fu">geom_path</span>(<span class="at">linewidth =</span> <span class="dv">10</span>, <span class="at">linejoin =</span> <span class="st">"bevel"</span>) <span class="sc">+</span> </span>
|
||
<span id="cb5-13"><a href="#cb5-13" tabindex="-1"></a> <span class="fu">geom_path</span>(<span class="at">linewidth =</span> <span class="dv">1</span>, <span class="at">colour =</span> <span class="st">"red"</span>)</span></code></pre></div>
|
||
<p><img 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" alt="A plot showing a thin red line on top of a thick black line shaped like the letter 'V'. The corner in the black V-shape is rounded." width="30%" /><img src="data:image/png;base64,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" alt="A plot showing a thin red line on top of a thick black line shaped like the letter 'V'. The corner in the black V-shape is sharp." width="30%" /><img src="data:image/png;base64,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" alt="A plot showing a thin red line on top of a thick black line shaped like the letter 'V'. A piece of the corner is cut off so that the two straight parts are connected by a horizontal part." width="30%" /></p></li>
|
||
</ul>
|
||
<p>Mitre joins are automatically converted to bevel joins whenever the
|
||
angle is too small (which would create a very long bevel). This is
|
||
controlled by the <code>linemitre</code> parameter which specifies the
|
||
maximum ratio between the line width and the length of the mitre.</p>
|
||
</div>
|
||
</div>
|
||
<div id="polygons" class="section level2">
|
||
<h2>Polygons</h2>
|
||
<p>The border of the polygon is controlled by the <code>colour</code>,
|
||
<code>linetype</code>, and <code>linewidth</code> aesthetics as
|
||
described above. The inside is controlled by <code>fill</code>.</p>
|
||
</div>
|
||
<div id="point" class="section level2">
|
||
<h2>Point</h2>
|
||
<div id="sec:shape-spec" class="section level3">
|
||
<h3>Shape</h3>
|
||
<p>Shapes take five types of values:</p>
|
||
<ul>
|
||
<li><p>An <strong>integer</strong> in <span class="math inline">\([0,
|
||
25]\)</span>:</p>
|
||
<div class="sourceCode" id="cb6"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb6-1"><a href="#cb6-1" tabindex="-1"></a>shapes <span class="ot"><-</span> <span class="fu">data.frame</span>(</span>
|
||
<span id="cb6-2"><a href="#cb6-2" tabindex="-1"></a> <span class="at">shape =</span> <span class="fu">c</span>(<span class="dv">0</span><span class="sc">:</span><span class="dv">19</span>, <span class="dv">22</span>, <span class="dv">21</span>, <span class="dv">24</span>, <span class="dv">23</span>, <span class="dv">20</span>),</span>
|
||
<span id="cb6-3"><a href="#cb6-3" tabindex="-1"></a> <span class="at">x =</span> <span class="dv">0</span><span class="sc">:</span><span class="dv">24</span> <span class="sc">%/%</span> <span class="dv">5</span>,</span>
|
||
<span id="cb6-4"><a href="#cb6-4" tabindex="-1"></a> <span class="at">y =</span> <span class="sc">-</span>(<span class="dv">0</span><span class="sc">:</span><span class="dv">24</span> <span class="sc">%%</span> <span class="dv">5</span>)</span>
|
||
<span id="cb6-5"><a href="#cb6-5" tabindex="-1"></a>)</span>
|
||
<span id="cb6-6"><a href="#cb6-6" tabindex="-1"></a><span class="fu">ggplot</span>(shapes, <span class="fu">aes</span>(x, y)) <span class="sc">+</span> </span>
|
||
<span id="cb6-7"><a href="#cb6-7" tabindex="-1"></a> <span class="fu">geom_point</span>(<span class="fu">aes</span>(<span class="at">shape =</span> shape), <span class="at">size =</span> <span class="dv">5</span>, <span class="at">fill =</span> <span class="st">"red"</span>) <span class="sc">+</span></span>
|
||
<span id="cb6-8"><a href="#cb6-8" tabindex="-1"></a> <span class="fu">geom_text</span>(<span class="fu">aes</span>(<span class="at">label =</span> shape), <span class="at">hjust =</span> <span class="dv">0</span>, <span class="at">nudge_x =</span> <span class="fl">0.15</span>) <span class="sc">+</span></span>
|
||
<span id="cb6-9"><a href="#cb6-9" tabindex="-1"></a> <span class="fu">scale_shape_identity</span>() <span class="sc">+</span></span>
|
||
<span id="cb6-10"><a href="#cb6-10" tabindex="-1"></a> <span class="fu">expand_limits</span>(<span class="at">x =</span> <span class="fl">4.1</span>) <span class="sc">+</span></span>
|
||
<span id="cb6-11"><a href="#cb6-11" tabindex="-1"></a> <span class="fu">theme_void</span>()</span></code></pre></div>
|
||
<p><img 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" alt="A 5-by-5 grid of point symbols annotated by the numbers that can be used to represent the symbols. From left to right, the first 15 symbols are lines or open shapes, the next 5 symbols are solid shapes and the last 5 symbols are filled shaped." /></p></li>
|
||
<li><p>The <strong>name</strong> of the shape:</p>
|
||
<div class="sourceCode" id="cb7"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb7-1"><a href="#cb7-1" tabindex="-1"></a>shape_names <span class="ot"><-</span> <span class="fu">c</span>(</span>
|
||
<span id="cb7-2"><a href="#cb7-2" tabindex="-1"></a> <span class="st">"circle"</span>, <span class="fu">paste</span>(<span class="st">"circle"</span>, <span class="fu">c</span>(<span class="st">"open"</span>, <span class="st">"filled"</span>, <span class="st">"cross"</span>, <span class="st">"plus"</span>, <span class="st">"small"</span>)), <span class="st">"bullet"</span>,</span>
|
||
<span id="cb7-3"><a href="#cb7-3" tabindex="-1"></a> <span class="st">"square"</span>, <span class="fu">paste</span>(<span class="st">"square"</span>, <span class="fu">c</span>(<span class="st">"open"</span>, <span class="st">"filled"</span>, <span class="st">"cross"</span>, <span class="st">"plus"</span>, <span class="st">"triangle"</span>)),</span>
|
||
<span id="cb7-4"><a href="#cb7-4" tabindex="-1"></a> <span class="st">"diamond"</span>, <span class="fu">paste</span>(<span class="st">"diamond"</span>, <span class="fu">c</span>(<span class="st">"open"</span>, <span class="st">"filled"</span>, <span class="st">"plus"</span>)),</span>
|
||
<span id="cb7-5"><a href="#cb7-5" tabindex="-1"></a> <span class="st">"triangle"</span>, <span class="fu">paste</span>(<span class="st">"triangle"</span>, <span class="fu">c</span>(<span class="st">"open"</span>, <span class="st">"filled"</span>, <span class="st">"square"</span>)),</span>
|
||
<span id="cb7-6"><a href="#cb7-6" tabindex="-1"></a> <span class="fu">paste</span>(<span class="st">"triangle down"</span>, <span class="fu">c</span>(<span class="st">"open"</span>, <span class="st">"filled"</span>)),</span>
|
||
<span id="cb7-7"><a href="#cb7-7" tabindex="-1"></a> <span class="st">"plus"</span>, <span class="st">"cross"</span>, <span class="st">"asterisk"</span></span>
|
||
<span id="cb7-8"><a href="#cb7-8" tabindex="-1"></a>)</span>
|
||
<span id="cb7-9"><a href="#cb7-9" tabindex="-1"></a></span>
|
||
<span id="cb7-10"><a href="#cb7-10" tabindex="-1"></a>shapes <span class="ot"><-</span> <span class="fu">data.frame</span>(</span>
|
||
<span id="cb7-11"><a href="#cb7-11" tabindex="-1"></a> <span class="at">shape_names =</span> shape_names,</span>
|
||
<span id="cb7-12"><a href="#cb7-12" tabindex="-1"></a> <span class="at">x =</span> <span class="fu">c</span>(<span class="dv">1</span><span class="sc">:</span><span class="dv">7</span>, <span class="dv">1</span><span class="sc">:</span><span class="dv">6</span>, <span class="dv">1</span><span class="sc">:</span><span class="dv">3</span>, <span class="dv">5</span>, <span class="dv">1</span><span class="sc">:</span><span class="dv">3</span>, <span class="dv">6</span>, <span class="dv">2</span><span class="sc">:</span><span class="dv">3</span>, <span class="dv">1</span><span class="sc">:</span><span class="dv">3</span>),</span>
|
||
<span id="cb7-13"><a href="#cb7-13" tabindex="-1"></a> <span class="at">y =</span> <span class="sc">-</span><span class="fu">rep</span>(<span class="dv">1</span><span class="sc">:</span><span class="dv">6</span>, <span class="fu">c</span>(<span class="dv">7</span>, <span class="dv">6</span>, <span class="dv">4</span>, <span class="dv">4</span>, <span class="dv">2</span>, <span class="dv">3</span>))</span>
|
||
<span id="cb7-14"><a href="#cb7-14" tabindex="-1"></a>)</span>
|
||
<span id="cb7-15"><a href="#cb7-15" tabindex="-1"></a></span>
|
||
<span id="cb7-16"><a href="#cb7-16" tabindex="-1"></a><span class="fu">ggplot</span>(shapes, <span class="fu">aes</span>(x, y)) <span class="sc">+</span></span>
|
||
<span id="cb7-17"><a href="#cb7-17" tabindex="-1"></a> <span class="fu">geom_point</span>(<span class="fu">aes</span>(<span class="at">shape =</span> shape_names), <span class="at">fill =</span> <span class="st">"red"</span>, <span class="at">size =</span> <span class="dv">5</span>) <span class="sc">+</span></span>
|
||
<span id="cb7-18"><a href="#cb7-18" tabindex="-1"></a> <span class="fu">geom_text</span>(<span class="fu">aes</span>(<span class="at">label =</span> shape_names), <span class="at">nudge_y =</span> <span class="sc">-</span><span class="fl">0.3</span>, <span class="at">size =</span> <span class="fl">3.5</span>) <span class="sc">+</span></span>
|
||
<span id="cb7-19"><a href="#cb7-19" tabindex="-1"></a> <span class="fu">scale_shape_identity</span>() <span class="sc">+</span></span>
|
||
<span id="cb7-20"><a href="#cb7-20" tabindex="-1"></a> <span class="fu">theme_void</span>()</span></code></pre></div>
|
||
<p><img 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" alt="An irregular 6-by-7 grid of point symbols annotated by the names that can be used to represent the symbols. Broadly, from top to bottom, the symbols are circles, squares, diamonds, triangles and others. Broadly from left to right, the symbols are solid shapes, open shapes, filled shapes and others." width="90%" /></p></li>
|
||
<li><p>A <strong>single character</strong>, to use that character as a
|
||
plotting symbol.</p></li>
|
||
<li><p>A <code>.</code> to draw the smallest rectangle that is visible,
|
||
usually 1 pixel.</p></li>
|
||
<li><p>An <code>NA</code>, to draw nothing.</p></li>
|
||
</ul>
|
||
</div>
|
||
<div id="colour-and-fill-1" class="section level3">
|
||
<h3>Colour and fill</h3>
|
||
<p>Note that shapes 21-24 have both stroke <code>colour</code> and a
|
||
<code>fill</code>. The size of the filled part is controlled by
|
||
<code>size</code>, the size of the stroke is controlled by
|
||
<code>stroke</code>. Each is measured in mm, and the total size of the
|
||
point is the sum of the two. Note that the size is constant along the
|
||
diagonal in the following figure.</p>
|
||
<div class="sourceCode" id="cb8"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb8-1"><a href="#cb8-1" tabindex="-1"></a>sizes <span class="ot"><-</span> <span class="fu">expand.grid</span>(<span class="at">size =</span> (<span class="dv">0</span><span class="sc">:</span><span class="dv">3</span>) <span class="sc">*</span> <span class="dv">2</span>, <span class="at">stroke =</span> (<span class="dv">0</span><span class="sc">:</span><span class="dv">3</span>) <span class="sc">*</span> <span class="dv">2</span>)</span>
|
||
<span id="cb8-2"><a href="#cb8-2" tabindex="-1"></a><span class="fu">ggplot</span>(sizes, <span class="fu">aes</span>(size, stroke, <span class="at">size =</span> size, <span class="at">stroke =</span> stroke)) <span class="sc">+</span> </span>
|
||
<span id="cb8-3"><a href="#cb8-3" tabindex="-1"></a> <span class="fu">geom_abline</span>(<span class="at">slope =</span> <span class="sc">-</span><span class="dv">1</span>, <span class="at">intercept =</span> <span class="dv">6</span>, <span class="at">colour =</span> <span class="st">"white"</span>, <span class="at">linewidth =</span> <span class="dv">6</span>) <span class="sc">+</span> </span>
|
||
<span id="cb8-4"><a href="#cb8-4" tabindex="-1"></a> <span class="fu">geom_point</span>(<span class="at">shape =</span> <span class="dv">21</span>, <span class="at">fill =</span> <span class="st">"red"</span>) <span class="sc">+</span></span>
|
||
<span id="cb8-5"><a href="#cb8-5" tabindex="-1"></a> <span class="fu">scale_size_identity</span>()</span></code></pre></div>
|
||
<p><img 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" alt="A plot showing a 4-by-4 grid of red points, the top 12 points with black outlines. The size of the points increases horizontally. The stroke of the outlines of the points increases vertically. A white diagonal line with a negative slope marks that the 'stroke' versus 'size' trade-off has similar total sizes." /></p>
|
||
</div>
|
||
</div>
|
||
<div id="text" class="section level2">
|
||
<h2>Text</h2>
|
||
<div id="font-family" class="section level3">
|
||
<h3>Font family</h3>
|
||
<p>There are only three fonts that are guaranteed to work everywhere:
|
||
“sans” (the default), “serif”, or “mono”:</p>
|
||
<div class="sourceCode" id="cb9"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb9-1"><a href="#cb9-1" tabindex="-1"></a>df <span class="ot"><-</span> <span class="fu">data.frame</span>(<span class="at">x =</span> <span class="dv">1</span>, <span class="at">y =</span> <span class="dv">3</span><span class="sc">:</span><span class="dv">1</span>, <span class="at">family =</span> <span class="fu">c</span>(<span class="st">"sans"</span>, <span class="st">"serif"</span>, <span class="st">"mono"</span>))</span>
|
||
<span id="cb9-2"><a href="#cb9-2" tabindex="-1"></a><span class="fu">ggplot</span>(df, <span class="fu">aes</span>(x, y)) <span class="sc">+</span> </span>
|
||
<span id="cb9-3"><a href="#cb9-3" tabindex="-1"></a> <span class="fu">geom_text</span>(<span class="fu">aes</span>(<span class="at">label =</span> family, <span class="at">family =</span> family))</span></code></pre></div>
|
||
<p><img 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" alt="A plot showing three text labels arranged vertically. The top label is 'sans' and is displayed in a sans-serif font. The middle label is 'serif' and is displayed in a serif font. The bottom label is 'mono' and is displayed in a monospaced font." /></p>
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<p>It’s trickier to include a system font on a plot because text drawing
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||
is done differently by each graphics device (GD). There are five GDs in
|
||
common use (<code>png()</code>, <code>pdf()</code>, on screen devices
|
||
for Windows, Mac and Linux), so to have a font work everywhere you need
|
||
to configure five devices in five different ways. Two packages simplify
|
||
the quandary a bit:</p>
|
||
<ul>
|
||
<li><p><code>showtext</code> makes GD-independent plots by rendering all
|
||
text as polygons.</p></li>
|
||
<li><p><code>extrafont</code> converts fonts to a standard format that
|
||
all devices can use.</p></li>
|
||
</ul>
|
||
<p>Both approaches have pros and cons, so you will to need to try both
|
||
of them and see which works best for your needs.</p>
|
||
</div>
|
||
<div id="font-face" class="section level3">
|
||
<h3>Font face</h3>
|
||
<div class="sourceCode" id="cb10"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb10-1"><a href="#cb10-1" tabindex="-1"></a>df <span class="ot"><-</span> <span class="fu">data.frame</span>(<span class="at">x =</span> <span class="dv">1</span><span class="sc">:</span><span class="dv">4</span>, <span class="at">fontface =</span> <span class="fu">c</span>(<span class="st">"plain"</span>, <span class="st">"bold"</span>, <span class="st">"italic"</span>, <span class="st">"bold.italic"</span>))</span>
|
||
<span id="cb10-2"><a href="#cb10-2" tabindex="-1"></a><span class="fu">ggplot</span>(df, <span class="fu">aes</span>(<span class="dv">1</span>, x)) <span class="sc">+</span> </span>
|
||
<span id="cb10-3"><a href="#cb10-3" tabindex="-1"></a> <span class="fu">geom_text</span>(<span class="fu">aes</span>(<span class="at">label =</span> fontface, <span class="at">fontface =</span> fontface))</span></code></pre></div>
|
||
<p><img src="data:image/png;base64,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" alt="A plot showing four text labels arranged vertically. The top label is 'bold.italic' and is displayed in bold and italic. The next three labels are 'italic', 'bold' and 'plain' and are displayed in their respective styles." /></p>
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</div>
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||
<div id="font-size" class="section level3">
|
||
<h3>Font size</h3>
|
||
<p>The <code>size</code> of text is measured in mm by default. This is
|
||
unusual, but makes the size of text consistent with the size of lines
|
||
and points. Typically you specify font size using points (or pt for
|
||
short), where 1 pt = 0.35mm. In <code>geom_text()</code> and
|
||
<code>geom_label()</code>, you can set <code>size.unit = "pt"</code> to
|
||
use points instead of millimeters. In addition, ggplot2 provides a
|
||
conversion factor as the variable <code>.pt</code>, so if you want to
|
||
draw 12pt text, you can also set <code>size = 12 / .pt</code>.</p>
|
||
</div>
|
||
<div id="justification" class="section level3">
|
||
<h3>Justification</h3>
|
||
<p>Horizontal and vertical justification have the same parameterisation,
|
||
either a string (“top”, “middle”, “bottom”, “left”, “center”, “right”)
|
||
or a number between 0 and 1:</p>
|
||
<ul>
|
||
<li>top = 1, middle = 0.5, bottom = 0</li>
|
||
<li>left = 0, center = 0.5, right = 1</li>
|
||
</ul>
|
||
<div class="sourceCode" id="cb11"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb11-1"><a href="#cb11-1" tabindex="-1"></a>just <span class="ot"><-</span> <span class="fu">expand.grid</span>(<span class="at">hjust =</span> <span class="fu">c</span>(<span class="dv">0</span>, <span class="fl">0.5</span>, <span class="dv">1</span>), <span class="at">vjust =</span> <span class="fu">c</span>(<span class="dv">0</span>, <span class="fl">0.5</span>, <span class="dv">1</span>))</span>
|
||
<span id="cb11-2"><a href="#cb11-2" tabindex="-1"></a>just<span class="sc">$</span>label <span class="ot"><-</span> <span class="fu">paste0</span>(just<span class="sc">$</span>hjust, <span class="st">", "</span>, just<span class="sc">$</span>vjust)</span>
|
||
<span id="cb11-3"><a href="#cb11-3" tabindex="-1"></a></span>
|
||
<span id="cb11-4"><a href="#cb11-4" tabindex="-1"></a><span class="fu">ggplot</span>(just, <span class="fu">aes</span>(hjust, vjust)) <span class="sc">+</span></span>
|
||
<span id="cb11-5"><a href="#cb11-5" tabindex="-1"></a> <span class="fu">geom_point</span>(<span class="at">colour =</span> <span class="st">"grey70"</span>, <span class="at">size =</span> <span class="dv">5</span>) <span class="sc">+</span> </span>
|
||
<span id="cb11-6"><a href="#cb11-6" tabindex="-1"></a> <span class="fu">geom_text</span>(<span class="fu">aes</span>(<span class="at">label =</span> label, <span class="at">hjust =</span> hjust, <span class="at">vjust =</span> vjust))</span></code></pre></div>
|
||
<p><img src="data:image/png;base64,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" alt="A 3-by-3 grid of text on top of points, with horizontal text justification increasing from 0 to 1 on the x-axis and vertical justification increasing from 0 to 1 on the y-axis. The points make it easier to see the relative placement of text." /></p>
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<p>Note that you can use numbers outside the range (0, 1), but it’s not
|
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recommended.</p>
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</div>
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