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<title>(Unofficial) overview of gtable</title>
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<h1 class="title toc-ignore">(Unofficial) overview of gtable</h1>
<h4 class="author"><em>Baptiste Auguie</em></h4>
<h4 class="date"><em>2017-09-09</em></h4>
<div id="TOC">
<ul>
<li><a href="#constructing-a-gtable">Constructing a gtable</a></li>
<li><a href="#components-of-a-gtable">Components of a gtable</a></li>
<li><a href="#modifying-a-gtable">Modifying a gtable</a></li>
</ul>
</div>
<p>The R package <code>gtable</code> is designed to help construct and manipulate layouts containing graphical elements. The standard <code>grid</code> package in R provides low-level functions to define viewports, and place graphical elements (grobs) at specific locations within the device window. <code>gtable</code> builds upon these functions and provides a higher-level interface, where one can e.g. merge two layouts, add columns, rows, insert graphical elements in a given cell, and change the display order, among other things.</p>
<p>The <code>gtable</code> package is used internally by <code>ggplot2</code>, and can therefore be used to modify the layout of such plots.</p>
<div id="constructing-a-gtable" class="section level3">
<h3>Constructing a gtable</h3>
<p>A <code>gtable</code> object can be constructed in a variety of ways,</p>
<ul>
<li>Empty table</li>
</ul>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw">gtable</span>(<span class="kw">unit</span>(<span class="dv">1</span><span class="op">:</span><span class="dv">3</span>, <span class="kw">c</span>(<span class="st">&quot;cm&quot;</span>)), <span class="kw">unit</span>(<span class="dv">5</span>, <span class="st">&quot;cm&quot;</span>))</code></pre></div>
<p>This is an empty table with 3 rows and one column. <code>gtable_col</code> and <code>gtable_row</code> provide a simplified interface for 1 column or 1 row layouts, respectively.</p>
<ul>
<li>matrix layout of grobs</li>
</ul>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r">a &lt;-<span class="st"> </span><span class="kw">rectGrob</span>(<span class="dt">gp =</span> <span class="kw">gpar</span>(<span class="dt">fill =</span> <span class="st">&quot;red&quot;</span>))
b &lt;-<span class="st"> </span><span class="kw">grobTree</span>(<span class="kw">rectGrob</span>(), <span class="kw">textGrob</span>(<span class="st">&quot;new</span><span class="ch">\n</span><span class="st">cell&quot;</span>))
c &lt;-<span class="st"> </span><span class="kw">ggplotGrob</span>(<span class="kw">qplot</span>(<span class="dv">1</span><span class="op">:</span><span class="dv">10</span>,<span class="dv">1</span><span class="op">:</span><span class="dv">10</span>))
d &lt;-<span class="st"> </span><span class="kw">linesGrob</span>()
mat &lt;-<span class="st"> </span><span class="kw">matrix</span>(<span class="kw">list</span>(a, b, c, d), <span class="dt">nrow =</span> <span class="dv">2</span>)
g &lt;-<span class="st"> </span><span class="kw">gtable_matrix</span>(<span class="dt">name =</span> <span class="st">&quot;demo&quot;</span>, <span class="dt">grobs =</span> mat,
<span class="dt">widths =</span> <span class="kw">unit</span>(<span class="kw">c</span>(<span class="dv">2</span>, <span class="dv">4</span>), <span class="st">&quot;cm&quot;</span>),
<span class="dt">heights =</span> <span class="kw">unit</span>(<span class="kw">c</span>(<span class="dv">2</span>, <span class="dv">5</span>), <span class="kw">c</span>(<span class="st">&quot;in&quot;</span>, <span class="st">&quot;lines&quot;</span>)))
g</code></pre></div>
<pre><code>## TableGrob (2 x 2) &quot;demo&quot;: 4 grobs
## z cells name grob
## 1 1 (1-1,1-1) demo rect[GRID.rect.583]
## 2 2 (2-2,1-1) demo gTree[GRID.gTree.584]
## 3 3 (1-1,2-2) demo gtable[layout]
## 4 4 (2-2,2-2) demo lines[GRID.lines.629]</code></pre>
<p>Actual drawing of the gtable on a graphics device is performed with <code>grid.draw()</code>; note that <code>plot()</code> is only defined for debugging purposes, it adds a light grey background and thin grid lines to help visualise the scene in its drawing context.</p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw">plot</span>(g)</code></pre></div>
<p><img 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" width="288" /></p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw">grid.newpage</span>()
<span class="kw">grid.draw</span>(g)</code></pre></div>
<p><img 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" width="288" /></p>
<p>The gridExtra package provides a few conventient constructor functions, e.g.</p>
<ul>
<li>based on <code>grid.arrange</code></li>
</ul>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r">dummy_grob &lt;-<span class="st"> </span><span class="cf">function</span>(id) {
<span class="kw">grobTree</span>(<span class="kw">rectGrob</span>(<span class="dt">gp=</span><span class="kw">gpar</span>(<span class="dt">fill=</span>id, <span class="dt">alpha=</span><span class="fl">0.5</span>)), <span class="kw">textGrob</span>(id))
}
gs &lt;-<span class="st"> </span><span class="kw">lapply</span>(<span class="dv">1</span><span class="op">:</span><span class="dv">9</span>, dummy_grob)
<span class="kw">grid.arrange</span>(<span class="dt">ncol=</span><span class="dv">4</span>, <span class="dt">grobs=</span>gs,
<span class="dt">top=</span><span class="st">&quot;top</span><span class="ch">\n</span><span class="st">label&quot;</span>, <span class="dt">bottom=</span><span class="st">&quot;bottom</span><span class="ch">\n</span><span class="st">label&quot;</span>,
<span class="dt">left=</span><span class="st">&quot;left</span><span class="ch">\n</span><span class="st">label&quot;</span>, <span class="dt">right=</span><span class="st">&quot;right</span><span class="ch">\n</span><span class="st">label&quot;</span>)
<span class="kw">grid.rect</span>(<span class="dt">gp=</span><span class="kw">gpar</span>(<span class="dt">fill=</span><span class="ot">NA</span>))</code></pre></div>
<p><img 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" width="288" /></p>
<ul>
<li>with a pre-defined layout</li>
</ul>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r">gt &lt;-<span class="st"> </span><span class="kw">arrangeGrob</span>(<span class="dt">grobs=</span>gs, <span class="dt">layout_matrix=</span><span class="kw">rbind</span>(<span class="kw">c</span>(<span class="dv">1</span>,<span class="dv">1</span>,<span class="dv">1</span>,<span class="dv">2</span>,<span class="dv">3</span>),
<span class="kw">c</span>(<span class="dv">1</span>,<span class="dv">1</span>,<span class="dv">1</span>,<span class="dv">4</span>,<span class="dv">5</span>),
<span class="kw">c</span>(<span class="dv">6</span>,<span class="dv">7</span>,<span class="dv">8</span>,<span class="dv">9</span>,<span class="dv">9</span>)))
<span class="kw">grid.draw</span>(gt)
<span class="kw">grid.rect</span>(<span class="dt">gp=</span><span class="kw">gpar</span>(<span class="dt">fill=</span><span class="ot">NA</span>))</code></pre></div>
<p><img 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WeaV8DAERvGPp/bszbgI5UQVJZFACpLJx0HAQIEMhS48ZmnY/9fXRrT58ypznrwllvFPZ/+zGrvEJ1heaZqosDQygekti/TX5rRvlr4784BKnwLHQABAgSyFbjosVFxxq03106KPX3XD8Z/HXJYdKrcAdqSf4HFixfHG5PejBmvvBFLFi+J4fsMW23RvdZf9rEnC+Ys/TiU1e5QkCcFoII0SpkECBDIg8Dlo5+IL9yy7FLp7x94UPzjnnvloTQ1rKFA2/y2+N5+P462BW3Ro0/3+JcxX49OnVd9j5/Xn1/2GWAbb7vRGs6S/83E9fz3SIUECBDIhcC411+Pv7/5f6q1JDc5vOyoY4SfXHSmviK69OgS7R9yOvetefHcvRNWO8ATN46tPb/JDqv/HLjahgVYEYAK0CQlEiBAIA8CydtebZW3T5LlW/t8JE7ecac8lKWGv0Fgh0O2qe11wzdvjXmz5tV+Xn7lwSsejWfvGV99qO/GfeIDh267/NOFXvcWWKHbp3gCBAhkI/DrMaPj/lcmVidLXv159C+vxuFXXbFGk19+9LHRv2fPNdrWRtkI7PHJD8a4O56N5+6ZEG+8+mb815GXxBHfOii2GLlp9bL3qeOnx72XPBCjrhtTLSjp+UkXHlN5y6xHNgVmMIsAlAGyKQgQIFB0gZ8/9mjtEJI7At82/vnaz++3ktwl2pIvgWqg+dGx8fOPXx5Tnn09Xh8/LS75uysiebxj547RtrCtVnC3Xt3iqHMPjqF7bF57rAwr3gIrQxcdAwECBFIWeHratJRnMHzWAr36rRNn3XZ6HPntg6J7727V6ZNw2x5+kiC0/cHbxNfv+ofY7eM7Z11e6vN5BSh1YhMQIECg+AJvnvPN4h+EI3iPQHL114c/u2fsferuMXPiG/H6hGmxcN6i2GirDWL9LfrX7gL9nh1L8IAAVIImOgQCBAgQINCIQMfKPZwGbN6/+tXIOEXa11tgReqWWgkQIECAAIGmCAhATWE0CAECBAgQIFAkAQGoSN1SKwECBAgQINAUAQGoKYwGIUCAAAECBIokIAAVqVtqJUCAAAECBJoiIAA1hdEgBAgQIECAQJEEBKAidUutBAgQIECAQFMEBKCmMBqEAAECBAgQKJKAAFSkbqmVAAECBAgQaIqAANQURoMQIECAAAECRRIQgIrULbUSIECAAAECTREQgJrCaBACBAgQIECgSAICUJG6pVYCBAgQIECgKQICUFMYDUKAAAECBAgUSUAAKlK31EqAAAECBAg0RUAAagqjQQgQIECAAIEiCQhAReqWWgkQIECAAIGmCAhATWE0CAECBAgQIFAkAQGoSN1SKwECBAgQINAUAQGoKYwGIUCAAAECBIokIAAVqVtqJUCAAAECBJoiIAA1hdEgBAgQIECAQJEEBKAidUutBAgQIECAQFMEBKCmMBqEAAECBAgQKJKAAFSkbqmVAAECBAgQaIqAANQURoMQIECAAAECRRIQgIrULbUSIECAAAECTREQgJrCaBACBAgQIECgSAICUJG6pVYCBAgQIECgKQICUFMYDUKAAAECBAgUSUAAKlK31EqAAAECBAg0RUAAagqjQQgQIECAAIEiCQhAReqWWgkQIECAAIGmCAhATWE0CAECBAgQIFAkAQGoSN1SKwECBAgQINAUAQGoKYwGIUCAAAECBIokIAAVqVtqJUCAAAECBJoiIAA1hdEgBAgQIECAQJEEBKAidUutBAgQIECAQFMEBKCmMBqEAAECBAgQKJKAAFSkbqmVAAECBAgQaIqAANQURoMQIECAAAECRRIQgIrULbUSIECAAAECTREQgJrCaBACBAgQIECgSAICUJG6pVYCBAgQIECgKQICUFMYDUKAAAECBAgUSUAAKlK31EqAAAECBAg0RUAAagqjQQgQIECAAIEiCQhAReqWWgkQIECAAIGmCAhATWE0CAECBAgQIFAkAQGoSN1SKwECBAgQINAUAQGoKYwGIUCAAAECBIokIAAVqVtqJUCAAAECBJoiIAA1hdEgBAgQIECAQJEEBKAidUutBAgQIECAQFMEBKCmMBqEAAECBAgQKJKAAFSkbqmVAAECBAgQaIqAANQURoMQIECAAAECRRIQgIrULbUSIECAAAECTREQgJrCaBACBAgQIECgSAICUJG6pVYCBAgQIECgKQICUFMYDUKAAAECBAgUSUAAKlK31EqAAAECBAg0RUAAagqjQQgQIECAAIEiCQhAReqWWgkQIECAAIGmCAhATWE0CAECBAgQIFAkAQGoSN1SKwECBAgQINAUAQGoKYwGIUCAAAECBIokIAAVqVtqJUCAAAECBJoiIAA1hdEgBAgQIECAQJEEBKAidUutBAgQIECAQFMEOjdlFIMQyFDgyiuvjAkTJsTBBx8cI0eOzHBmUxEgQIBAWQS8AlSWTq4lx/Hoo49Ww89acrgOkwABAgRSEhCAUoI1bPMFxo4dG7fddlvzBzYiAQIECKx1At4CW+taXrwDXrhwYdx9993x0EMPxZIlS4p3AComQIAAgdwJCEC5a4mClhd4+eWX46abboqZM2cu/7B1AgQIECDQkIAA1BCfndMSSF7p+f3vfx+jRo2qTTFgwIDYYostIjkPyEKAAAECBBoREIAa0bNvagJJAFo+/Oy0007Vq77GjRtXm7NDhw61dSsECBAgQKAeAQGoHi3bZi4wdOjQ2GeffWLIkCGZz21CAgQIECivgABU3t4W+siSV3c++9nPxuDBgwt9HIonQIAAgXwKuAw+n31Z66tKApDws9b/GgAgQIBAagJeAUqN1sAECKztAnPnzo1Jb8yMy2bNimtfeXlt5yj08c9buCiee2tGxKzO8dMnLi30sSh+qYAA5DeBAAECKQrMioExN7aJnpX/sxRXYGHMjoU9n4ueO2wWXfr1K+6BqHypwMMvhwDkl4EAAQIpCfTo0SPWW69fDBq0X+y33+kpzWLYLASmTBkTf3z46zFghx3ihO98J4spzZGiwJm/+lU4ByhFYEMTIECAAAEC+RQQgPLZF1URIECAAAECKQoIQCniGpoAAQIECBDIp4AAlM++qIoAAQIECBBIUUAAShHX0AQIECBAgEA+BQSgfPZFVQQIECBAgECKAgJQiriGJkCAAAECBPIpIADlsy+qIkCAAAECBFIUEIBSxDU0AQIECBAgkE8BASiffVEVAQIECBAgkKKAj8JIEdfQzRfYeeedI/myECBAgACBRgS8AtSInn0JECBAgACBQgoIQIVsm6IJECBAgACBRgQEoEb07EuAAAECBAgUUkAAKmTbFE2AAAECBAg0IiAANaJnXwIECBAgQKCQAgJQIdumaAIECBAgQKARAQGoET37EiBAgAABAoUUEIAK2TZFEyBAgAABAo0ICECN6NmXAAECBAgQKKSAAFTItimaAAECBAgQaERAAGpEz74ECBAgQIBAIQUEoEK2TdEECBAgQIBAIwICUCN69iVAgAABAgQKKSAAFbJtiiZAgAABAgQaERCAGtGzLwECBAgQIFBIAQGokG1TNAECBAgQINCIgADUiJ59CRAgQIAAgUIKCECFbJuiCRAgQIAAgUYEBKBG9OxLgAABAgQIFFJAACpk2xRNgAABAgQINCIgADWiZ18CBAgQIECgkAICUCHbpmgCBAgQIECgEQEBqBE9+xIgQIAAAQKFFBCACtk2RRMgQIAAAQKNCAhAjejZlwABAgQIECikgABUyLYpmgABAgQIEGhEQABqRM++BAgQIECAQCEFBKBCtk3RBAgQIECAQCMCAlAjevYlQIAAAQIECikgABWybYomQIAAAQIEGhEQgBrRsy8BAgQIECBQSAEBqJBtUzQBAgQIECDQiIAA1IiefQkQIECAAIFCCghAhWybogkQIECAAIFGBASgRvTsS4AAAQIECBRSQAAqZNsUTYAAAQIECDQiIAA1omdfAgQIECBAoJACAlAh26ZoAgQIECBAoBEBAagRPfsSIECAAAEChRQQgArZNkUTIECAAAECjQgIQI3o2ZcAAQIECBAopIAAVMi2KZoAAQIECBBoREAAakTPvgQIECBAgEAhBQSgQrZN0QQIECBAgEAjAgJQI3r2JUCAAAECBAopIAAVsm2KJkCAAAECBBoREIAa0bMvAQIECBAgUEgBAaiQbVM0AQIECBAg0IiAANSInn0JECBAgACBQgoIQIVsm6IJECBAgACBRgQEoEb07EuAAAECBAgUUkAAKmTbFE2AAAECBAg0IiAANaJnXwIECBAgQKCQAgJQIdumaAIECBAgQKARAQGoET37EiBAgAABAoUUEIAK2TZFEyBAgAABAo0ICECN6NmXAAECBAgQKKSAAFTItimaAAECBAgQaERAAGpEz74ECBAgQIBAIQUEoEK2TdEECBAgQIBAIwICUCN69iVAgAABAgQKKSAAFbJtiiZAgAABAgQaERCAGtGzLwECBAgQIFBIAQGokG1TNAECBAgQINCIgADUiJ59CRAgQIAAgUIKCECFbJuiCRAgQIAAgUYEBKBG9OxLgAABAgQIFFJAACpk2xRNgAABAgQINCIgADWiZ18CBAgQIECgkAICUCHbpmgCBAgQIECgEQEBqBE9+xIgQIAAAQKFFBCACtk2RRMgQIAAAQKNCHRuZGf7EiBAgACBdoFHH/1p3Hvvv1Z/PPXU+6N//2HtT/meU4FxN98cT9966xpV16Vnzzj6Bz9Yo22LsJEAVIQuqZEAAQI5F5g69em4446zY9GiedVKFy9elPOKlZcIPH7VVTH62mvXCKN7nz6lCkDeAlujttuIAAECBFYlsGjRgrjhhk/Uws+qtvN4/gReHT06f0VlVJFXgDKCNg0BAgTKKnDXXd+M114bU9bDK+1xzZ89O6ZPmFA9vq0OOCA+ecUVqz3WDh3L9ZqJALTadnuSAAECBFYn8NJL98RDD/1ndZOuXXvHggWzVre553IkMHns2FiyeHG1os123z3W3WijHFWXfinlinPpe5mBAAECBP4qMHfum3HjjSfHkiWLY+jQ/xNbbnlIzaZDhw61dSv5FPjLmGWv2g3eZZd8FpliVQJQiriGJkCAQJkFbr318/H225OiR49+ceSRl4bQU6xu/2W58382EYCK1TzVEiBAgEBrBMaOvSrGjbumOvmhh/4s1l1349YUYta/WeDVv74C1GuDDWK9TTapjrNkyZKYOXFizJ4x428etyg7OgeoKJ1SJwECBHIi8OabE+PWW8+oVrP99p+I7bb7WE4qU8aaCixua4spf/5zdfPk1Z+XHnww/vCv/xov3n9/LKicHJ0sfSuhaNORI+PwCy6IAUOHVh8r0/8IQGXqpmMhQIBAygKLKyfNJuf9zJ//VuVVn03ikEN+kvKMhk9DYOpzz8WieUvv2ZSEnh/ttdd7pnlz0qRIvp657bY44t//Pfb+whfes02RHxCAitw9tRMgQCBjgQcf/H5MnHhfZdYOcdRRl1fO/+mbcQWma4bA8vf/mT9rVnRdZ50Yus8+MWzffatXg00ZNy6e/O1vY8YLL1RfEbr+jDOix3rrxS4nntiM6XMxhgCUizYoggABAvkXmDz5ibjrrv9bLXT33b8cW2yxX/6LVuFKBZa/AqzPoEHx+TvuiI222WaFbQ/69rfjxjPPjIcuuaT6+A1f+lIMr9wvqNf666+wXVF/cBVYUTunbgIECGQosHDh3OrdnhcvXhjrr79N7L//dzOc3VTNFtjztNPi09dfH0d8//vxpcpbYO8OP8l8XSuf/XX8z34Wg3baqTr97OnT454f/rDZpbRsPK8AtYzexAQIECiOwB13fDWmT382OnbsEsccc2V06dK9OMWr9D0C6w8bFsnX+y0dO3WKg849N3555JHVTZd/5ej99s378wJQ3jukPgIECLRYYPz422LUqP9XrWLPPc+Ovn03j+QmiO9e2toW1B6aP//t2jZdu/aKTp38uanhFGxl0Ac+UKt48l+vHKs9UOAVv5EFbp7SCRAgkIXAc8/dVJvm/vsviOTr/ZZLLtmttsmnPnVPbLbZPrWfrRRLoO/gwZVz3it39q7cI2hOie4PJAAV6/dQtQQIECBAoGGBeW+/HbOmTo2Fc+fGxttvv9rx3qhcCp+En2QZsOWWq922SE8KQEXqlloJECDQAoFhww6Onj0HvO/MzzxzQ0yb9nR1u113Pb22T58+m77vvjbITmBe5bL3f+rfPxYvWhRdevSI82fOjC7dV31O1+tPL+1pUuGGI0ZkV2jKMwlAKQMbngABAkUXGDHiiEi+3m+ZOXNCLQDtvvuZMWDA8PfbxfMtEOjeu3f1Ds8vPfBA9RWgZ26/PXY46qhVVvLHyk0Q25ftjnj/34P2bfP+3WXwee+Q+ggQIECAQJMFtvvrVV3JsDd8+csx5403VjrDfT/+cbxw773V55LL4Xc56aSVblfEBwWgInZNzQQIECBAoAGBfc86Kzb/68dfvPnKK/GD3XaLcTffHPPfeSfaKm+NJR+UetWnPhXJzQ+TpXPlLbKjL7ywci505WTokizeAitJIx0GAQIECBBYU4FOnTvHKddeGz/5yEdi+vjxMX3ChPhF8vZWJeB06tIl2hYsu6VB8qGop95wQwzZddc1Hb4Q23kFqBBtUiQBAgQIEGiuQN/KR2B8o/KZX4dXzvHp3qfP0sErV3u1h591Kh95sePxx8fZjz1WuvCTHKxXgJr7+2Q0AgQIrLUCxx13dSRfluIIdO7aNfb/6lfjI2efHW9MnBjJp8Qnl8YP3nnn6Ldpua/eE4CK83uqUgIECBAgkIpAx44do//mm1e/Upkgh4N6CyyHTVESAQIECBAgkK6AAJSur9EJECBAgACBHAoIQDlsipIIECBAgACBdAUEoHR9jU6AAAECBAjkUEAAymFTlESAAAECBAikKyAApetrdAIECBAgQCCHAgJQDpuiJAIECBAgQCBdAQEoXV+jEyBAgAABAjkUEIBy2BQlESBAgAABAukKCEDp+hqdAAECBAgQyKGAAJTDpiiJAAECBAgQSFdAAErX1+gECBAgQIBADgUEoBw2RUkECBAgQIBAugICULq+RidAgAABAgRyKCAA5bApSiJAgAABAgTSFRCA0vU1OgECBAgQIJBDAQEoh01REgECBAgQIJCugACUrq/RCRAgQIAAgRwKCEA5bIqSCBAgQIAAgXQFBKB0fY1OgAABAgQI5FBAAMphU5REgAABAgQIpCsgAKXra3QCBAgQIEAghwICUA6boiQCBAgQIEAgXQEBKF1foxMgQIAAAQI5FBCActgUJREgQIAAAQLpCghA6foanQABAgQIEMihgACUw6YoiQABAgQIEEhXQABK19foBAgQIECAQA4FBKAcNkVJBAgQIECAQLoCAlC6vkYnQIAAAQIEciggAOWwKUoiQIAAAQIE0hUQgNL1NToBAgQIECCQQwEBKIdNURIBAgQIECCQroAAlK6v0QkQIECAAIEcCghAOWyKkggQIECAAIF0BQSgdH2NToAAAQIECORQQADKYVOURIAAAQIECKQrIACl62t0AgQIECBAIIcCAlAOm6IkAgQIECBAIF0BAShdX6MTIECAAAECORQQgHLYFCURIECAAAEC6QoIQOn6Gp0AAQIECBDIoYAAlMOmKIkAAQIECBBIV0AAStfX6AQIECBAgEAOBQSgHDZFSQQIECBAgEC6AgJQur5GJ0CAAAECBHIoIADlsClKIkCAAAECBNIVEIDS9TU6AQIECBAgkEMBASiHTVESAQIECBAgkK6AAJSur9EJECBAgACBHAoIQDlsipIIECBAgACBdAUEoHR9jU6AAAECBAjkUEAAymFTlESAAAECBAikKyAApetrdAIECBAgQCCHAgJQDpuiJAIECBAgQCBdAQEoXV+jEyBAgAABAjkUEIBy2BQlESBAgAABAukKCEDp+hqdAAECBAgQyKGAAJTDpiiJAAECBAgQSFdAAErX1+gECBAgQIBADgUEoBw2RUkECBAgQIBAugICULq+RidAgAABAgRyKCAA5bApSiJAgAABAgTSFRCA0vU1OgECBAgQIJBDAQEoh01REgECBAgQIJCugACUrq/RCRAgQIAAgRwKCEA5bIqSCBAgQIAAgXQFBKB0fY1OgAABAgQI5FBAAMphU5REgAABAgQIpCsgAKXra3QCBAgQIEAghwICUA6boiQCBAgQIEAgXQEBKF1foxMgQIAAAQI5FBCActgUJREgQIAAAQLpCghA6foanQABAgQIEMihgACUw6YoiQABAgQIEEhXQABK19foBAgQIECAQA4FBKAcNkVJBAgQIECAQLoCAlC6vkYnQIAAAQIEciggAOWwKUoiQIAAAQIE0hUQgNL1NToBAgQIECCQQwEBKIdNURIBAgQIECCQrkCHyvBLNttss3RnMXrqAnPmzImFCxdG7969o2NHuTZ18BQnmD9/fsydOzd69eoVnTt3TnEmQ6ctkPz/5dtvL4gePQZFnz7rpz2d8VMUWLRofsxZODW6DO5b/Xc2xakMnYHAhHvuieq/rh+OfTKYzhRpCjzf9nz02eXFWH+jDtGpkwCUpnXaY0+atDhmzRocffsOjG7duqU9nfFTFJgxY0aMHz8+Fi+eUplldoozGTptgY4dF8eSBbNiyaRZsahnz7SnM34GAtVXgNrOXZLBVKZIU+DkG06OxcNHxb+cd0BsueXANKcydsoC3/rW/8ajj7bF0UefFPvuu2/Ksxk+TYGbb745rrjiikqY7Rv77bdfmlMZmwCBOgTOPffc8FJBHWA2JUCAAAECBMohIACVo4+OggABAgQIEKhDQACqA8umBAgQIECAQDkEBKBy9NFRECBAgAABAnUICEB1YNmUAAECBAgQKIeAAFSOPjoKAgQIECBAoA4BAagOLJsSIECAAAEC5RAQgMrRR0dBgAABAgQI1CEgANWBZVMCBAgQIECgHAICUDn66CgIECBAgACBOgQEoDqwbEqAAAECBAiUQ0AAKkcfHQUBAgQIECBQh4AAVAeWTQkQIECAAIFyCAhA5eijoyBAgAABAgTqEBCA6sCyKQECBAgQIFAOAQGoHH10FAQIECBAgEAdAgJQHVg2JUCAAAECBMohIACVo4+OggABAgQIEKhDQACqA8umBAgQIECAQDkEBKBy9NFRECBAgAABAnUICEB1YNmUAAECBAgQKIeAAFSOPjoKAgQIECBAoA4BAagOLJsSIECAAAEC5RAQgMrRR0dBgAABAgQI1CEgANWBZVMCBAgQIECgHAICUDn66CgIECBAgACBOgQEoDqwbEqAAAECBAiUQ0AAKkcfHQUBAgQIECBQh4AAVAeWTQkQIECAAIFyCAhA5eijoyBAgAABAgTqEBCA6sCyKQECBAgQIFAOAQGoHH10FAQIECBAgEAdAgJQHVg2JUCAAAECBMohIACVo4+OggABAgQIEKhDQACqA8umBAgQIECAQDkEBKBy9NFRECBAgAABAnUICEB1YNmUAAECBAgQKIeAAFSOPjoKAgQIECBAoA4BAagOLJsSIECAAAEC5RAQgMrRR0dBgAABAgQI1CEgANWBZVMCBAgQIECgHAICUDn66CgIECBAgACBOgQEoDqwbEqAAAECBAiUQ0AAKkcfHQUBAgQIECBQh4AAVAeWTQkQIECAAIFyCAhA5eijoyBAgAABAgTqEBCA6sCyKQECBAgQIFAOAQGoHH10FAQIECBAgEAdAgJQHVg2JUCAAAECBMohIACVo4+OggABAgQIEKhDQACqA8umBAgQIECAQDkEBKBy9NFRECBAgAABAnUICEB1YNmUAAECBAgQKIeAAFSOPjoKAgQIECBAoA4BAagOLJsSIECAAAEC5RAQgMrRR0dBgAABAgQI1CEgANWBZVMCBAgQIECgHAICUDn66CgIECBAgACBOgQEoDqwbEqAAAECBAiUQ0AAKkcfHQUBAgQIECBQh4AAVAeWTQkQIECAAIFyCAhA5eijoyBAgAABAgTqEBCA6sCyKQECBAgQIFAOAQGoHH10FAQIECBAgEAdAgJQHVg2JUCAAAECBMohIACVo4+OggABAgQIEKhDQACqA8umBAgQIECAQDkEBKBy9NFRECBAgAABAnUICEB1YNmUAAECBAgQKIeAAFSOPjoKAgQIECBAoA4BAagOLJsSIECAAAEC5RAQgMrRR0dBgAABAgQI1CEgANWBZVMCBAgQIECgHAICUDn66CgIECBAgACBOgQEoDqwbEqAAAECBAiUQ0AAKkcfHQUBAgQIECBQh4AAVAeWTQkQIECAAIFyCAhA5eijoyBAgAABAgTqEBCA6sCyKQECBAgQIFAOAQGoHH10FAQIECBAgEAdAgJQHVg2JUCAAAECBMohIACVo4+OggABAgQIEKhDQACqA8umBAgQIECAQDkEOpfjMN57FI9PfjxuevZ/4rHJj8XjUx6vbjBiwIjYe8je8dW9vhZ9uvd5704eyYXAaaf9LtraFtddy8CBvePf/u2jde9nh+wExo4dG1deeWW8+OKL8dJLL0WvXr1i2LBhscMOO8RnPvOZ6s/ZVWMmAqsXmD17djz88MMxZcqUeO2112LRokXRr1+/2GyzzWL33XePddddd/UDeDbXAqUMQD9+5MfxlT+cHYsWL1wBf9rsqfGniffFJY9fEpcedVkcutWhKzzvh3wIXHrp45V/aOoPQCNGDBCA8tHC91SxYMGCOP/88+Paa6+NJUuW1J5P/sC8/vrr8cADD8Rvf/vb+Pa3vx37779/7XkrBFol8Nxzz8VNN90Uye/o8svkyZMj+XrkkUeqv6t77rnn8k9bL5BAqQJQ8g/rp248Ja4ce0W1BV06dY0DtjggDtvq8Ji1YFb87pkb4+FXH4rpc6bFidefEKP+/rEYPmB4gdql1NUJ9OvXc3VPe66FAj/84Q/jmmuuqVbQpUuX+NjHPhbbbrttvPPOO3H33XfHQw89FFOnTo0zzzwzfvOb38TWW2/dwmpNvbYL/PnPf64G8naHDTfcMLbaaqtYb731qoE9eX7OnDlxxx13VAPSRz/qled2qyJ9L1UAumz0ZbXws2X/reKPp9wVg9YdVOvH2XucHef87zfiPx78fsxe8E78/U2fi3tPva/2vJV8CLz66tfXqJAJE2bERz96acydu6jyUnS3+OUvj1mj/WyUrcDo0aPjsssuq06avGVw9dVXx9ChQ2tFnHzyyXHxxRfHD37wg1i4cGF85StfiZtvvjk6dnSKYg3JSmYCc+fOjdtvv70238iRI+PAAw+MTp061R7ba6+9qkH91Vdfrb56mbyNu/nmm9eet1IMgdL8CzN/0fz4xv8u/cPZo0vPuOPv7lwh/CTtSP5BPf+A70YSjpLlgUkPxLTZ06rr/ic/Ahtu2Cve76tPn27xxS/eXA0/HTpEXHHF8TFixPr5OQiV1AT+9Kc/1dbPOuusFcJP+xOf+9znqucBJT+/8MIL8fLLL7c/5TuBTAXuueee2tteW2yxRRx88MErhJ+kmCTIH3fccdG589LXEG677bZMazRZcwRKE4B+P/73MWPO9KrKP+7xjzGk75CVCnXq2ClO2fFTMazfljFy0Mh4fsbzK93Og/kW+NKXbokxY6ZUi/zKVz4URxzhLZO8duzpp5+ulbbbbrvV1pdf6VBJsclJpe3LuHHj2ld9J5CpwMSJE2vzHXTQQbX1d6/07ds3dtppp+rDydu306b5j+l3G+X959K8BXb9U9fVrJOAs7rlnA+dE8mXpZgCd931QlxyyWPV4jfbrG+ce+5+xTyQtbDq5JyfVS1tbW21p5K3wiwEshZYvHhxTJ++9D+ke/ToERtssMFqS9hoo41qzydXNq6/vlehayAFWCnNK0Dtl7pv0mdIDO237PyCAvRAiXUILFzYVn3rq32Xn/zk8OjZs2v7j77nUGD5E5qTE55XtiSXFy//Vtny+6xse48RSEPg7bffrl7qnozdv3//950ieRWofUnOB7IUS6AUrwDNXTg3JsycUJXfcaMdq9+TJP/gpAfjvspl78ml78lVYLsM3CX22GTP+Ni2H3OCZbF+T2vV/uhHD8Yzzyx9qfmYY7aJQw8dUXvOSj4FPvGJT8Svf/3r6nkVv/jFL2L77bdf4VL35BL57373u/H880vfjk4uK95mm23yeTCqKrVA8qpP+zJ//vz21VV+X/4VzeSqMEuxBEoRgCa+ObFyb5Gl943p36N/LGxbGKfceHJcO27pZbftLXmoEoh+8uiP4xdPXBKXH/WrGNxncPtTvhdA4O2358V3vrP0FYSOHTvEeecdWICqlThgwIDKW5aXxOc///l466234owzzohddtmlehl8co+VRx99NCZNmlSFSm6ImFwybyHQCoFu3bpVT3BOXgmaMWNG9dWg9hOdV1bP8uf9zJs3b2WbeCzHAqV4Cyx5dad96d65exx59RHV8NOpY+fYfsMd4pitj61+T35Olrtfuit2vmineG3Wa+27+V4AgYsuerTyB3Tpf5Udd9y2rvoqQM/aS9x5552rlxYn9/5Jlscff7z6qlBy88P28PPJT36yeq+gPn3cpb3dzffsBdrP+6m+i/Dgg6ssILlc/oknnqg9n/xsKZZAOQLQ/GUB6JLKqzt/mHB77LjRTjHm9CdjzOefjOs+fn31+xOnjY5tN9iu2qHkirGzbj+zWN1ai6tdsGBRXHjh0n+Mksve//mfP7IWaxTv0G+55ZY47LDD4qmnnqoWn1z1NWTIkFj+HIrkIzKSj8NI7gxtIdAqgQ996EO1qe+7775I7gj97iV52za5V9Xyb3stf4fzd2/v53wKlCIALWhbUNNtW7woNu49KO759L2xzQYrnkew3YbbxV2n3F35HLClJ6795qlr476X76vtayW/Aldd9WTl9vNLg+5hh42o3DNm2dUX+a1aZYnAddddV725YfKWQvfu3eOcc86p/pdzchfd5HOW7rzzzthvv/2qWMkdoZNzhpLPXbIQaIXApptuGjvuuPRc0uTk/OTGncnv8GOPPRbPPvtsJKHo5z//eSS3d0hufpj8TidL+/dW1GzOv02gFAGoV9deKxz9BR/9XvTu1nuFx9p/GLDOgPjG3ssugU9OkrbkX+CKK0bXijz11F1q61byLZCcS/G9732vVmRyLtApp5wSy59suskmm8RPf/rTOOGEE6rbJVfTJHeFthBolUBy/5/lT8RPXrlMXsVMPs7lrrvuipkzZ8bw4cPjxBNPjOTVoGRJzh+yFEugFAHo3WHnw5t+eLVd2GvIXrXnn5m27CZttQet5Epg2rTZlf/qerlaU9++3St3Zt0qV/UpZtUCyYdJtl8pc+yxx8YHP/jBVW78ta99rXbfleSPTfv9WFa5gycIpCSQvJqTfF7dkUceWbkr/YYrXDXcq1ev2HfffavPJ2+BJecKJYtXgFJqRorDluIqsMHrLruaq3PHLrH8zyuzG9ZvWO3h9svnaw9YyZ3AjTc+FW1tSz9B/Nhjt638l1Ypfm1z55xGQcnHWrQve+yxR/vqSr/37Nkz2k+WTv6oTJgwIZIryCwEWiWQ3Ok5+UpuzJkE8uSVy+RjMNo/py65qrF96devX/uq7wURKMUrQP179o+Neg2ski9avDBemLnsH92V9eGNuW/UHl6vx3q1dSv5FPjd756pFXbCCTvU1q3kX+DNN9+sFdl+dU3tgZWsJG+HtS/JOUMWAnkQ6NKlSwwcOLB60n57+Enqmjx5cq285KR+S7EEShGAEvKRg0fW5B969aHa+spWxs8cX3t4876b19at5E8gubLiwQeXfTbPyJHL/kDmr1oVvVtgyy23rD00duzY2vqqVtoviU+eTz6I0kIga4Hks8BGjRoVyV3Lk5OgV7csfxm8ALQ6qXw+V5oAdMJ2J9aEkxsgru6SxMtHX1bb9ogRR9bWreRP4Nlnp9Xu/TNkSJ/o3duJhvnr0qorGjFiRO3JBx54oLa+spXkXKHkD0+yJP/FPWzYsreqV7a9xwikIZC89XrrrbfGvffeG8t/MOq750rCevuNEJPf1eQtXEuxBEoTgI4YfkQM6bNpVf+2yifD//Mf/2mlnbjluVvid8/eWH0u+dywA4ceuNLtPJgPgYcfXnqH4KSa7bbbMB9FqWKNBUaOHBmDBg2qbp9c4n7hhReudN/kP1jOO++86t13kw0OPfTQagha6cYeJJCiwPLB+/7776+d5Lz8lMlbuzfccEPtofbbONQesFIIgdIEoO5dusdFh18cHTt0qsJ/7/4L4oxbvhD3vHRPLGpbFJPemhTn33d+HH3NUbXGXHz4JdGp49Ltaw9ayZVA++d+JUUJQLlqzRoVs84668QFF1wQyY0PkyW5f8o3v/nNSF4NSu6c23433ZNPPjluvHHpf5hsvPHG1W3WaAIbEWiyQHIeWnIvoGR56aWX4vrrr68G8ySkJ8Fn9OjRcfnll8cbbyw9lzS5sjH5nbUUT6BUl9McOOzAuOPkO+Ok60+MqbNfj58/9rPqV5dOXSufD7bsZokdOnSM/zjwPyPZ3pJvgddeW3aXbwEo371aVXXJH4hvfetb1fsBJZ+XlPxBSb6Sz1hqa2tb4e3q5I9Pcg+g5FJjC4FWCCQnOR933HFx0UUXVW/hkNzwMPnq1KlT9fd1+ZqSGyYecsghyz9kvUACpXkFqN38I5t/JJ44fXQcMfzI6NV16c0Qlw8/ew3ZO/7wd3fEmXuc2b6L7zkWmDJFAMpxe9a4tOSGccm9fZL7pyR/SJIlOcG0/Vy95PyJ0047rbpN8mnxFgKtFOjdu3f1w3t33XXX2quXSVhvX5IrGo8//vjqfYLaX91sf8734giU6hWgdvaBvQfGjSf+rvqP6/Mzno8nX3sy1u22bmzVf6vYot8W7Zv5XgCBO+88tQBVKnFNBAYPHlx9Cyy5c25ycmlyj6DkLbKhQ4dWLzH2h2RNFG2TlUDyu5l8ft0BBxxQfQssuftzch+g/v37Vy+H9/uaVSfSm6eUAaidK/kFHT5gePWr/THfCRBorUDXrl0juTx++UvkW1uR2QmsWiC5w3NyIn/7yfyr3tIzRRMo3VtgRWuAegkQIECAAIHsBQSg7M3NSIAAAQIECLRYQABqcQNMT4AAAQIECGQvIABlb25GAgQIECBAoMUCAlCLG2B6AgQIECBAIHsBASh7czMSIECAAAECLRYQgFrcANMTIECAAAEC2QsIQNmbm5EAAQIECBBosYAA1OIGmJ4AAQIECBDIXkAAyt7cjAQIECBAgECLBQSgFjfA9AQIECBAgED2AgJQ9uZmJECAAAECBFosIAC1uAGmJ0CAAAECBLIXEICyNzcjAQIECBAg0GIBAajFDTA9AQIECBAgkL2AAJS9uRkJECBAgACBFgsIQC1ugOkJECBAgACB7AUEoOzNzUiAAAECBAi0WEAAanEDTE+AAAECBAhkLyAAZW9uRgIECBAgQKDFAgJQixtgegIECBAgQCB7AQEoe3MzEiBAgAABAi0WEIBa3ADTEyBAgAABAtkLCEDZm5uRAAECBAgQaLGAANTiBpieAAECBAgQyF5AAMre3IwECBAgQIBAiwUEoBY3wPQECBAgQIBA9gICUPbmZiRAgAABAgRaLCAAtbgBpidAgAABAgSyFxCAsjc3IwECBAgQINBiAQGoxQ0wPQECBAgQIJC9gACUvbkZCRAgQIAAgRYLCEAtboDpCRAgQIAAgewFBKDszc1IgAABAgQItFhAAGpxA0xPgAABAgQIZC8gAGVvbkYCBAgQIECgxQICUIsbYHoCBAgQIEAgewEBKHtzMxIgQIAAAQItFhCAWtwA0xMgQIAAAQLZCwhA2ZubkQABAgQIEGixgADU4gaYngABAgQIEMheQADK3tyMBAgQIECAQIsFBKAWN8D0BAgQIECAQPYCAlD25mYkQIAAAQIEWiwgALW4AaYnQIAAAQIEshcQgLI3NyMBAgQIECDQYgEBqMUNMD0BAgQIECCQvYAAlL25GQkQIECAAIEWCwhALW6A6QkQIECAAIHsBQSg7M3NSIAAAQIECLRYQABqcQNMT4AAAQIECGQvIABlb25GAgQIECBAoMUCAlCLG2B6AgQIECBAIHsBASh7czMSIECAAAECLRYQgFrcANMTIECAAAEC2QsIQNmbm5EAAQIECBBosYAA1OIGmJ4AAQIECBDIXkAAyt7cjAQIECBAgECLBQSgFjfA9AQIECBAgED2AgJQ9uZmJECAAAECBFosIAC1uAGmJ0CAAAECBLIXEICyNzcjAQIECBAg0GIBAajFDTA9AQIECBAgkL2AAJS9uRkJECBAgACBFgsIQC1ugOkJECBAgACB7AUEoOzNzUiAAAECBAi0WEAAanEDTE+AAAECBAhkLyAAZW9uRgIECBAgQKDFAgJQixtgegIECBAgQCB7AQEoe3MzEiBAgAABAi0WEIBa3ADTEyBAgAABAtkLCEDZm5uRAAECBAgQaLGAANTiBpieAAECBAgQyF5AAMre3IwECBAgQIBAiwUEoBY3wPQECBAgQIBA9gICUPbmZiRAgAABAgRaLCAAtbgBpidAgAABAgSyFxCAsjc3IwECBAgQINBiAQGoxQ0wPQECBAgQIJC9gACUvbkZCRAgQIAAgRYLCEAtboDpCRAgQIAAgewFOlSmXJL9tGYkQIAAAQIECLRO4P8DYrVltM2yae4AAAAASUVORK5CYII=" width="288" /></p>
</div>
<div id="components-of-a-gtable" class="section level3">
<h3>Components of a gtable</h3>
<p>Lets have a closer look at the gtable we created earlier.</p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw">print</span>(g)</code></pre></div>
<pre><code>## TableGrob (2 x 2) &quot;demo&quot;: 4 grobs
## z cells name grob
## 1 1 (1-1,1-1) demo rect[GRID.rect.583]
## 2 2 (2-2,1-1) demo gTree[GRID.gTree.584]
## 3 3 (1-1,2-2) demo gtable[layout]
## 4 4 (2-2,2-2) demo lines[GRID.lines.629]</code></pre>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw">names</span>(g)</code></pre></div>
<pre><code>## [1] &quot;grobs&quot; &quot;layout&quot; &quot;widths&quot; &quot;heights&quot;
## [5] &quot;respect&quot; &quot;rownames&quot; &quot;colnames&quot; &quot;name&quot;
## [9] &quot;gp&quot; &quot;vp&quot; &quot;children&quot; &quot;childrenOrder&quot;</code></pre>
<p>Other useful characteristics of the gtable are,</p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw">length</span>(g); <span class="kw">nrow</span>(g); <span class="kw">ncol</span>(g)</code></pre></div>
<pre><code>## [1] 4</code></pre>
<pre><code>## [1] 2</code></pre>
<pre><code>## [1] 2</code></pre>
<p>where we note the dual nature of a gtable: it looks like a matrix, in the sense that it defines a rectangular table of nrow x ncol cells, but its also a <em>list</em> with an arbitrary length, defining where and how many grobs are to be placed in this tabular layout.</p>
<p>The most important components are,</p>
<ul>
<li><code>grobs</code>: This is a list of grobs of <code>length(g)</code>. Grobs are placed in the tabular layout defined by the gtable, and multiple grobs can overlap and/or be stacked in the same cell(s).</li>
</ul>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw">length</span>(g<span class="op">$</span>grobs)</code></pre></div>
<pre><code>## [1] 4</code></pre>
<ul>
<li><code>layout</code>: this is a data.frame indicating the position of each grob.</li>
</ul>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r">g<span class="op">$</span>layout</code></pre></div>
<pre><code>## t l b r z clip name
## 1 1 1 1 1 1 on demo
## 2 2 1 2 1 2 on demo
## 3 1 2 1 2 3 on demo
## 4 2 2 2 2 4 on demo</code></pre>
<p>The z-column is used to define the drawing order of the grobs, which becomes relevant when multiple grobs are stacked on top of each others. * <code>widths</code> and <code>heights</code>: this is the size description of the cells, given as grid units.</p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r">g<span class="op">$</span>widths; g<span class="op">$</span>heights</code></pre></div>
<pre><code>## [1] 2cm 4cm</code></pre>
<pre><code>## [1] 2in 5lines</code></pre>
</div>
<div id="modifying-a-gtable" class="section level3">
<h3>Modifying a gtable</h3>
<p>The gtable package defines several high-level functions to operate on a gtable object,</p>
<ul>
<li><p><code>t.gtable</code> to transpose the layout (future versions may support more general rotations)</p></li>
<li><p><code>[.gtable*</code>, <code>gtable_filter</code>, <code>gtable_trim</code> to extract a portion of the gtable</p></li>
<li><p><code>cbind.gtable*</code>, <code>rbind.gtable*</code> to combine 2 gtable objects (particularly useful for aligning multiple ggplots)</p></li>
<li><p><code>gtable_add_cols</code>, <code>gtable_add_rows</code>,<code>gtable_add_col_space</code>, <code>gtable_add_row_space</code>, <code>gtable_add_padding</code>, <code>gtable_col_spacer</code>, <code>gtable_row_spacer</code></p></li>
</ul>
<p>Manual operations at the low-level on the gtable can involve the grobs or the layout, but care should be taken to keep the two consistent (e.g. make sure that the length of both are in sync).</p>
<div id="examples-to-alter-ggplot2-plots-with-gtable" class="section level4">
<h4>Examples to alter ggplot2 plots with gtable</h4>
<p>The <code>gtable</code> tag on Stack Overlfow has several real-life examples using gtable to alter a ggplot2 before drawing.</p>
<ul>
<li><p>aligning (multiple) <a href="http://stackoverflow.com/a/17768224/471093">ggplot objects on a device</a>, another <a href="http://stackoverflow.com/a/16798372/471093">use-case scenario</a>, aligning <a href="http://stackoverflow.com/a/14233531/471093">base plot and ggplot</a></p></li>
<li><p>adding new grobs <a href="http://stackoverflow.com/a/17371177/471093">aligned with the plot panel</a>, also <a href="http://stackoverflow.com/a/17493256/471093">this one</a></p></li>
<li><p>calculate <a href="http://stackoverflow.com/a/16442029/471093">the device size based on the plot aspect ratio</a></p></li>
<li><p>add <a href="http://stackoverflow.com/a/17661337/471093">new axes to a facet_grid layout</a>, or a <a href="http://stackoverflow.com/a/18511024/471093">second axis</a></p></li>
</ul>
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