524 lines
86 KiB
HTML
524 lines
86 KiB
HTML
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<!DOCTYPE html>
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<html>
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<head>
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<meta charset="utf-8" />
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<meta name="generator" content="pandoc" />
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<meta http-equiv="X-UA-Compatible" content="IE=EDGE" />
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<meta name="viewport" content="width=device-width, initial-scale=1" />
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<meta name="author" content="Claus O. Wilke" />
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<meta name="date" content="2022-12-19" />
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<title>Generating isolines and isobands</title>
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<script>// Pandoc 2.9 adds attributes on both header and div. We remove the former (to
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// be compatible with the behavior of Pandoc < 2.8).
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document.addEventListener('DOMContentLoaded', function(e) {
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h = hs[i];
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if (!/^h[1-6]$/i.test(h.tagName)) continue; // it should be a header h1-h6
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<script>
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code > span.kw { color: #555; font-weight: bold; }
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code > span.dt { color: #902000; }
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code > span.dv { color: #40a070; }
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code > span.ot { color: #007020; }
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code > span.al { color: #ff0000; font-weight: bold; }
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code > span.er { color: #a61717; background-color: #e3d2d2; }
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</style>
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</head>
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<body>
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<h1 class="title toc-ignore">Generating isolines and isobands</h1>
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<h4 class="author">Claus O. Wilke</h4>
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<h4 class="date">2022-12-19</h4>
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<p>The isoband package implements fast algorithms for generating
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isolines (lines of equal elevation) and isobands (ranges of elevation
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delimited by two isolines) from a matrix of elevation data. For both
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cases, the package employs the marching squares algorithms as described
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on <a href="https://en.wikipedia.org/wiki/Marching_squares">Wikipedia.</a>
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Marching squares algorithms break down the elevation matrix into blocks
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of 2x2 elevation values. For each block, they then determine the
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appropriate isolines/isobands from a lookup table of all possible
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arrangements of isolines or isobands within a 2x2 block. There are 16
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distinct possibilities for isolines and 81 for isobands. The
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implementation in the isoband package goes beyond the algorithm
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described on Wikipedia in that it merges the isolines or isobands from
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separate blocks into extended line traces or polygons. The package is
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meant as a low-level package with minimal required dependencies.
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Therefore, many of the functions provided may not immediately be useful
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to endusers, but they will enable developers of other packages to
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integrate isolines and isobands into their feature set.</p>
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<p>The two main functions of the package are called
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||
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<code>isolines()</code> and <code>isobands()</code>, and they have
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similar user interfaces and return values. Both take a vector
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<code>x</code> specifying the x values corresponding to the columns of
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||
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|
the elevation matrix, a vector <code>y</code> specifying the y values
|
||
|
|
corresponding to the rows of the elevation matrix, and an elevation
|
||
|
|
matrix <code>z</code>. The two functions differ in that
|
||
|
|
<code>isolines()</code> takes a single argument <code>levels</code>
|
||
|
|
specifying the elevation levels for which isolines should be calculated,
|
||
|
|
whereas <code>isobands()</code> takes two arguments,
|
||
|
|
<code>levels_low</code> and <code>levels_high</code>, specifying the
|
||
|
|
lower and upper bounds for each isoband. The return value in both cases
|
||
|
|
is a list of lists. The outer list contains one list element for each
|
||
|
|
specified isolevel. The inner lists hold line or polygon data in the
|
||
|
|
form <code>x</code>, <code>y</code>, <code>id</code> as used by
|
||
|
|
<code>grid::polylineGrob()</code> or <code>grid::pathGrob()</code>. The
|
||
|
|
format has been chosen for easy drawing of the resulting values via
|
||
|
|
these two grid functions.</p>
|
||
|
|
<div class="sourceCode" id="cb1"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb1-1"><a href="#cb1-1" aria-hidden="true" tabindex="-1"></a><span class="fu">library</span>(isoband)</span>
|
||
|
|
<span id="cb1-2"><a href="#cb1-2" aria-hidden="true" tabindex="-1"></a><span class="fu">library</span>(grid)</span>
|
||
|
|
<span id="cb1-3"><a href="#cb1-3" aria-hidden="true" tabindex="-1"></a></span>
|
||
|
|
<span id="cb1-4"><a href="#cb1-4" aria-hidden="true" tabindex="-1"></a>m <span class="ot"><-</span> <span class="fu">matrix</span>(</span>
|
||
|
|
<span id="cb1-5"><a href="#cb1-5" aria-hidden="true" tabindex="-1"></a> <span class="fu">c</span>(<span class="dv">0</span>, <span class="dv">0</span>, <span class="dv">0</span>, <span class="dv">0</span>, <span class="dv">0</span>,</span>
|
||
|
|
<span id="cb1-6"><a href="#cb1-6" aria-hidden="true" tabindex="-1"></a> <span class="dv">0</span>, <span class="dv">1</span>, <span class="dv">2</span>, <span class="dv">1</span>, <span class="dv">0</span>,</span>
|
||
|
|
<span id="cb1-7"><a href="#cb1-7" aria-hidden="true" tabindex="-1"></a> <span class="dv">0</span>, <span class="dv">1</span>, <span class="dv">2</span>, <span class="dv">0</span>, <span class="dv">0</span>,</span>
|
||
|
|
<span id="cb1-8"><a href="#cb1-8" aria-hidden="true" tabindex="-1"></a> <span class="dv">0</span>, <span class="dv">1</span>, <span class="dv">0</span>, <span class="dv">1</span>, <span class="dv">0</span>,</span>
|
||
|
|
<span id="cb1-9"><a href="#cb1-9" aria-hidden="true" tabindex="-1"></a> <span class="dv">0</span>, <span class="dv">0</span>, <span class="dv">0</span>, <span class="dv">0</span>, <span class="dv">0</span>),</span>
|
||
|
|
<span id="cb1-10"><a href="#cb1-10" aria-hidden="true" tabindex="-1"></a> <span class="dv">5</span>, <span class="dv">5</span>, <span class="at">byrow =</span> <span class="cn">TRUE</span></span>
|
||
|
|
<span id="cb1-11"><a href="#cb1-11" aria-hidden="true" tabindex="-1"></a>)</span>
|
||
|
|
<span id="cb1-12"><a href="#cb1-12" aria-hidden="true" tabindex="-1"></a></span>
|
||
|
|
<span id="cb1-13"><a href="#cb1-13" aria-hidden="true" tabindex="-1"></a>lines <span class="ot"><-</span> <span class="fu">isolines</span>(<span class="at">x =</span> <span class="dv">1</span><span class="sc">:</span><span class="fu">ncol</span>(m)<span class="sc">/</span><span class="dv">6</span>, <span class="at">y =</span> <span class="fu">nrow</span>(m)<span class="sc">:</span><span class="dv">1</span><span class="sc">/</span><span class="dv">6</span>, <span class="at">z =</span> m, <span class="at">levels =</span> <span class="fl">0.5</span>)</span>
|
||
|
|
<span id="cb1-14"><a href="#cb1-14" aria-hidden="true" tabindex="-1"></a>lines</span>
|
||
|
|
<span id="cb1-15"><a href="#cb1-15" aria-hidden="true" tabindex="-1"></a><span class="co">#> $`0.5`</span></span>
|
||
|
|
<span id="cb1-16"><a href="#cb1-16" aria-hidden="true" tabindex="-1"></a><span class="co">#> $`0.5`$x</span></span>
|
||
|
|
<span id="cb1-17"><a href="#cb1-17" aria-hidden="true" tabindex="-1"></a><span class="co">#> [1] 0.6666667 0.5833333 0.5000000 0.4166667 0.3333333 0.2500000 0.2500000</span></span>
|
||
|
|
<span id="cb1-18"><a href="#cb1-18" aria-hidden="true" tabindex="-1"></a><span class="co">#> [8] 0.2500000 0.3333333 0.5000000 0.6666667 0.7500000 0.6666667 0.6250000</span></span>
|
||
|
|
<span id="cb1-19"><a href="#cb1-19" aria-hidden="true" tabindex="-1"></a><span class="co">#> [15] 0.6666667 0.7500000 0.6666667</span></span>
|
||
|
|
<span id="cb1-20"><a href="#cb1-20" aria-hidden="true" tabindex="-1"></a><span class="co">#> </span></span>
|
||
|
|
<span id="cb1-21"><a href="#cb1-21" aria-hidden="true" tabindex="-1"></a><span class="co">#> $`0.5`$y</span></span>
|
||
|
|
<span id="cb1-22"><a href="#cb1-22" aria-hidden="true" tabindex="-1"></a><span class="co">#> [1] 0.2500000 0.3333333 0.3750000 0.3333333 0.2500000 0.3333333 0.5000000</span></span>
|
||
|
|
<span id="cb1-23"><a href="#cb1-23" aria-hidden="true" tabindex="-1"></a><span class="co">#> [8] 0.6666667 0.7500000 0.7916667 0.7500000 0.6666667 0.5833333 0.5000000</span></span>
|
||
|
|
<span id="cb1-24"><a href="#cb1-24" aria-hidden="true" tabindex="-1"></a><span class="co">#> [15] 0.4166667 0.3333333 0.2500000</span></span>
|
||
|
|
<span id="cb1-25"><a href="#cb1-25" aria-hidden="true" tabindex="-1"></a><span class="co">#> </span></span>
|
||
|
|
<span id="cb1-26"><a href="#cb1-26" aria-hidden="true" tabindex="-1"></a><span class="co">#> $`0.5`$id</span></span>
|
||
|
|
<span id="cb1-27"><a href="#cb1-27" aria-hidden="true" tabindex="-1"></a><span class="co">#> [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1</span></span>
|
||
|
|
<span id="cb1-28"><a href="#cb1-28" aria-hidden="true" tabindex="-1"></a><span class="co">#> </span></span>
|
||
|
|
<span id="cb1-29"><a href="#cb1-29" aria-hidden="true" tabindex="-1"></a><span class="co">#> </span></span>
|
||
|
|
<span id="cb1-30"><a href="#cb1-30" aria-hidden="true" tabindex="-1"></a><span class="co">#> attr(,"class")</span></span>
|
||
|
|
<span id="cb1-31"><a href="#cb1-31" aria-hidden="true" tabindex="-1"></a><span class="co">#> [1] "isolines" "iso"</span></span>
|
||
|
|
<span id="cb1-32"><a href="#cb1-32" aria-hidden="true" tabindex="-1"></a><span class="fu">grid.newpage</span>()</span>
|
||
|
|
<span id="cb1-33"><a href="#cb1-33" aria-hidden="true" tabindex="-1"></a><span class="fu">grid.draw</span>(<span class="fu">polylineGrob</span>(lines[[<span class="dv">1</span>]]<span class="sc">$</span>x, lines[[<span class="dv">1</span>]]<span class="sc">$</span>y, lines[[<span class="dv">1</span>]]<span class="sc">$</span>id))</span></code></pre></div>
|
||
|
|
<p><img src="data:image/png;base64,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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" aria-hidden="true" tabindex="-1"></a></span>
|
||
|
|
<span id="cb2-2"><a href="#cb2-2" aria-hidden="true" tabindex="-1"></a>bands <span class="ot"><-</span> <span class="fu">isobands</span>(<span class="at">x =</span> <span class="dv">1</span><span class="sc">:</span><span class="fu">ncol</span>(m)<span class="sc">/</span><span class="dv">6</span>, <span class="at">y =</span> <span class="fu">nrow</span>(m)<span class="sc">:</span><span class="dv">1</span><span class="sc">/</span><span class="dv">6</span>, <span class="at">z =</span> m, <span class="at">levels_low =</span> <span class="fl">0.5</span>, <span class="at">levels_high =</span> <span class="fl">1.5</span>)</span>
|
||
|
|
<span id="cb2-3"><a href="#cb2-3" aria-hidden="true" tabindex="-1"></a>bands</span>
|
||
|
|
<span id="cb2-4"><a href="#cb2-4" aria-hidden="true" tabindex="-1"></a><span class="co">#> $`0.5:1.5`</span></span>
|
||
|
|
<span id="cb2-5"><a href="#cb2-5" aria-hidden="true" tabindex="-1"></a><span class="co">#> $`0.5:1.5`$x</span></span>
|
||
|
|
<span id="cb2-6"><a href="#cb2-6" aria-hidden="true" tabindex="-1"></a><span class="co">#> [1] 0.4166667 0.3333333 0.2500000 0.2500000 0.2500000 0.3333333 0.5000000</span></span>
|
||
|
|
<span id="cb2-7"><a href="#cb2-7" aria-hidden="true" tabindex="-1"></a><span class="co">#> [8] 0.6666667 0.7500000 0.6666667 0.6250000 0.6666667 0.7500000 0.6666667</span></span>
|
||
|
|
<span id="cb2-8"><a href="#cb2-8" aria-hidden="true" tabindex="-1"></a><span class="co">#> [15] 0.5833333 0.5000000 0.5000000 0.5416667 0.5833333 0.5000000 0.4166667</span></span>
|
||
|
|
<span id="cb2-9"><a href="#cb2-9" aria-hidden="true" tabindex="-1"></a><span class="co">#> [22] 0.4166667</span></span>
|
||
|
|
<span id="cb2-10"><a href="#cb2-10" aria-hidden="true" tabindex="-1"></a><span class="co">#> </span></span>
|
||
|
|
<span id="cb2-11"><a href="#cb2-11" aria-hidden="true" tabindex="-1"></a><span class="co">#> $`0.5:1.5`$y</span></span>
|
||
|
|
<span id="cb2-12"><a href="#cb2-12" aria-hidden="true" tabindex="-1"></a><span class="co">#> [1] 0.3333333 0.2500000 0.3333333 0.5000000 0.6666667 0.7500000 0.7916667</span></span>
|
||
|
|
<span id="cb2-13"><a href="#cb2-13" aria-hidden="true" tabindex="-1"></a><span class="co">#> [8] 0.7500000 0.6666667 0.5833333 0.5000000 0.4166667 0.3333333 0.2500000</span></span>
|
||
|
|
<span id="cb2-14"><a href="#cb2-14" aria-hidden="true" tabindex="-1"></a><span class="co">#> [15] 0.3333333 0.3750000 0.4583333 0.5000000 0.6666667 0.7083333 0.6666667</span></span>
|
||
|
|
<span id="cb2-15"><a href="#cb2-15" aria-hidden="true" tabindex="-1"></a><span class="co">#> [22] 0.5000000</span></span>
|
||
|
|
<span id="cb2-16"><a href="#cb2-16" aria-hidden="true" tabindex="-1"></a><span class="co">#> </span></span>
|
||
|
|
<span id="cb2-17"><a href="#cb2-17" aria-hidden="true" tabindex="-1"></a><span class="co">#> $`0.5:1.5`$id</span></span>
|
||
|
|
<span id="cb2-18"><a href="#cb2-18" aria-hidden="true" tabindex="-1"></a><span class="co">#> [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2</span></span>
|
||
|
|
<span id="cb2-19"><a href="#cb2-19" aria-hidden="true" tabindex="-1"></a><span class="co">#> </span></span>
|
||
|
|
<span id="cb2-20"><a href="#cb2-20" aria-hidden="true" tabindex="-1"></a><span class="co">#> </span></span>
|
||
|
|
<span id="cb2-21"><a href="#cb2-21" aria-hidden="true" tabindex="-1"></a><span class="co">#> attr(,"class")</span></span>
|
||
|
|
<span id="cb2-22"><a href="#cb2-22" aria-hidden="true" tabindex="-1"></a><span class="co">#> [1] "isobands" "iso"</span></span>
|
||
|
|
<span id="cb2-23"><a href="#cb2-23" aria-hidden="true" tabindex="-1"></a><span class="fu">grid.newpage</span>()</span>
|
||
|
|
<span id="cb2-24"><a href="#cb2-24" aria-hidden="true" tabindex="-1"></a><span class="fu">grid.draw</span>(<span class="fu">pathGrob</span>(bands[[<span class="dv">1</span>]]<span class="sc">$</span>x, bands[[<span class="dv">1</span>]]<span class="sc">$</span>y, bands[[<span class="dv">1</span>]]<span class="sc">$</span>id, <span class="at">gp =</span> <span class="fu">gpar</span>(<span class="at">fill =</span> <span class="st">"cornsilk"</span>)))</span></code></pre></div>
|
||
|
|
<p><img src="data:image/png;base64,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
|
||
|
|
<p>A convenience function <code>plot_iso()</code> can be used to inspect
|
||
|
|
a single isoband and corresponding isolines for an elevation matrix.
|
||
|
|
This function is mostly meant for debugging and illustration purposes.
|
||
|
|
It draws a grid of matrix points colored by whether each point is below,
|
||
|
|
within, or above the isoband, as well as the isoband itself and the
|
||
|
|
enclosing isolines.</p>
|
||
|
|
<div class="sourceCode" id="cb3"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb3-1"><a href="#cb3-1" aria-hidden="true" tabindex="-1"></a><span class="fu">plot_iso</span>(m, <span class="fl">0.5</span>, <span class="fl">1.5</span>)</span></code></pre></div>
|
||
|
|
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASAAAAEgCAYAAAAUg66AAAAEDmlDQ1BrQ0dDb2xvclNwYWNlR2VuZXJpY1JHQgAAOI2NVV1oHFUUPpu5syskzoPUpqaSDv41lLRsUtGE2uj+ZbNt3CyTbLRBkMns3Z1pJjPj/KRpKT4UQRDBqOCT4P9bwSchaqvtiy2itFCiBIMo+ND6R6HSFwnruTOzu5O4a73L3PnmnO9+595z7t4LkLgsW5beJQIsGq4t5dPis8fmxMQ6dMF90A190C0rjpUqlSYBG+PCv9rt7yDG3tf2t/f/Z+uuUEcBiN2F2Kw4yiLiZQD+FcWyXYAEQfvICddi+AnEO2ycIOISw7UAVxieD/Cyz5mRMohfRSwoqoz+xNuIB+cj9loEB3Pw2448NaitKSLLRck2q5pOI9O9g/t/tkXda8Tbg0+PszB9FN8DuPaXKnKW4YcQn1Xk3HSIry5ps8UQ/2W5aQnxIwBdu7yFcgrxPsRjVXu8HOh0qao30cArp9SZZxDfg3h1wTzKxu5E/LUxX5wKdX5SnAzmDx4A4OIqLbB69yMesE1pKojLjVdoNsfyiPi45hZmAn3uLWdpOtfQOaVmikEs7ovj8hFWpz7EV6mel0L9Xy23FMYlPYZenAx0yDB1/PX6dledmQjikjkXCxqMJS9WtfFCyH9XtSekEF+2dH+P4tzITduTygGfv58a5VCTH5PtXD7EFZiNyUDBhHnsFTBgE0SQIA9pfFtgo6cKGuhooeilaKH41eDs38Ip+f4At1Rq/sjr6NEwQqb/I/DQqsLvaFUjvAx+eWirddAJZnAj1DFJL0mSg/gcIpPkMBkhoyCSJ8lTZIxk0TpKDjXHliJzZPO50dR5ASNSnzeLvIvod0HG/mdkmOC0z8VKnzcQ2M/Yz2vKldduXjp9bleLu0ZWn7vWc+l0JGcaai10yNrUnXLP/8Jf59ewX+c3Wgz+B34Df+vbVrc16zTMVgp9um9bxEfzPU5kPqUtVWxhs6OiWTVW+gIfywB9uXi7CGcGW/zk98k/kmvJ95IfJn/j3uQ+4c5zn3Kfcd+AyF3gLnJfcl9xH3OfR2rUee80a+6vo7EK5mmXUdyfQlrYLTwoZIU9wsPCZEtP6BWGhAlhL3p2N6sTjRdduwbHsG9kq32sgBepc+xurLPW4T9URpYGJ3ym4+8zA05u44QjST8ZIoVtu3qE7fWmdn5LPdqvgcZz8Ww8BWJ8X3w0PhQ/wnCDGd+LvlHs8dRy6bLLDuKMaZ20tZrqisPJ5ONiCq8yKhYM5cCgKOu66Lsc0aYOtZdo5QCwezI4wm9J/v0X23mlZXOfBjj8Jzv3WrY5D+CsA9D7aMs2gGfjve8ArD6mePZSeCfEYt8CONWDw8FXTxrPqx/r9Vt4biXeANh8vV7/+/16ffMD1N8AuKD/A/8leAvFY9bLAAAAOGVYSWZNTQAqAAAACAABh2kABAAAAAEAAAAaAAAAAAACoAIABAAAAAEAAAEgoAMABAAAAAEAAAEgAAAAAKtAJY0AACk4SURBVHgB7Z0JeBXV+Ye/rOx7KEhRNhXCTgCtIqtW2cNqkUIVWSSp25/SqoAKCoL6VLCLGohaVxCiLGoRK5CwtAVCgABhB6G0ssiWhASyMP/5BueSuyUz984+v/M897l3zpw5Z857zn3vmW9ybyIEMRESCIAACJhAINKENtEkCIAACEgEICBMBBAAAdMIQECmoUfDIAACEBDmAAiAgGkEICDT0KNhEAABCAhzAARAwDQCEJBp6NEwCIAABIQ5AAIgYBoBCMg09GgYBEAgJAEVFhbSDz/8QMXFxa4kyH88fvnyZYlBSUmJKxlwvy9evCg93Mzg1KlT0lxw5SQQO80OYBewE0JJqgX0+9//nmrVqkUJCQkUGxtLaWlpobRr22MY+IgRI6h+/fp06623UkxMDB06dMi2/QnlxM+ePUtdunShJk2aUFxcnMQgLy8vlKpse0xWVhY1b96cWrZsSdWrV6c2bdpQaWmpbfsTyom/++670hxgF1StWpWSk5PVV8PfBVOakpKS+HtjwtGjR4ULFy4I6enp0vaSJUuUVmHrcteuXRNq164t1K1bVzhz5ozEYMGCBRKD7OxsW/dN6cmLopH6O2bMGOH8+fPSY8CAAUJkZKTEQ2k9di53+PBhiUFKSorUZ54L/L649957BVFCdu6a4nP/5ptvpD5v3LhRYnDkyBFpe+rUqYrr4IKktHRBQYHUADfE8pEf4gpIaN26tdJqbF1u27ZtEgO57/KzuCoUHn74YVv3TenJ//WvfxVatWrlGX+ZwQMPPCDwPjckHusJEyb4MWjUqJHAc8QNiefAxx9/7MWAFyZRUVECu0JpUnwJdunSJWrYsCGJn/5eyyxeeoqT0CvPqRunT5+mvn37+nWPl6Dnzp3zy3diBl9+JSYm+nWtY8eOxPvckMSVH4mrHb+udujQgXiOuCHl5uZKYZiyfa1Tp44UmuDYoNKkWED16tWjiIgI2rNnj1fdH330kXQd7JXp0A1xpUd87X/16lWvHs6fP1+KAXhlOnSjbdu29O233/r17tVXXyXe54bEH7orVqzw6irPidWrVxPPETck7ufXX3/t1dVdu3YRB+U5Lqg4KV0qcbnU1FTpEoSXXjk5OcLrr78ubR8/flxNNbYuK8fBOP4lylgYO3asxIBjI25IYhBeEIOvUp8zMzMFfvTu3VsQP/1cE/8Q32RS/7t16ybNgYyMDGn7/fffd8MUkPq4ZcsWqc/Tpk2TXLBs2TJpm5/VJMUxILnSNWvWCPHx8QJf7953330Cn4jb0ty5cwXx7ocgrgqFQYMGCTwh3ZQ4GM9B6KZNmwrNmjUTHnnkEUFcAbgJgRTn6NevnzQH+P0we/ZsV/WfO8sLj169ekkuEFeFwuLFi1UziOAjFC+XUBAEQAAENCSgOAakYZuoCgRAAAQkAhAQJgIIgIBpBCAg09CjYRAAAQgIcwAEQMA0AhCQaejRMAiAAASEOQACIGAaAQjINPRoGARAAALCHAABEDCNAARkGno0DAIgAAFhDoAACJhGAAIyDT0aBgEQiAYCEFBDgH96VfwVPEpfv57S09dJh/bq1Yd69e5N3bt3pxo1aqipDmVdTgBfRnX5BKio+77CycnZT3fe0YF6de9MvXp0lQ5P37CN0jdupy1bd4m/h9OKIKSKqGK/TAACkkngWSJQkXDuvKO9+M8IYgLSKioqFiWUTb5C6tmzt2eFVLNmzYDHItOdBCAgd467p9fhCMdTSZAXspAyNvIKKUuU005q1aql1woJQgoCzyXZEJBLBlrupp7CkdsI9sxC2rptt7hC2gohBYPksnwIyOEDbqZwKkILIVVEyPn7ISCHjbGVhVMR6mBCKhtD4n+KieQcAhCQzcfSzsKpCL0sJDmG9O8tO8T/wHK7VwwJQqqIorX3Q0DWHh+/s3OycPw665PB/xb7egzp+m3/f2/ZCSH5MLLbJgRk8RFzs3AqGhoIqSJC1t8PAVlsjCCc0AckmJDkGFKPHj0Il2yh89XjSAhID6oq6oRwVMBSWVQWUsbGTOkvtf/17x10++23eWJIEJJKoDoUh4B0gFpelRBOeXT03cdC2pa5x/OX2hCSvryV1A4BKaEURhkIJwx4Oh8KIekMWEH1EJACSGqKQDhqaFmrbDAhlY0h1a5d21onbfOzgYDCGMD8/Hzi/2xd9ucpfL8tXt6XN8NoGocaQEAWkhxD+ue/sui22271iiFBSOENBAQUIr+MjAx6+qkn6NChI14/TwHhhAjUBoeVlJR4xZC+/W6TdNbZ2dnUrl07G/TAeqcIAYUwJiyf4cOG0oqlb9IdXdsF/XmKEKrGITYiwEL6bt2/acy452hZ2ufUW/xRNiR1BCAgdbxIls/ni9+gnj/9IJfKKlDcYQQ2btpOQx58ij7/Yrl4edbLYb3Ttzv4TWgVfCEfFbBcVLT7PZ1p+WcLaMTwYeLP1Ka7qOfhdxUCUsgQ8lEIyqXFenTvQl8smQ8JqRx/CEgBMMhHASQUIUhI/SSAgCpgBvlUAAi7
|
||
|
|
<p>The isoband package handles <code>NA</code> values in the matrix by
|
||
|
|
simply ignoring the respective grid points.</p>
|
||
|
|
<div class="sourceCode" id="cb4"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb4-1"><a href="#cb4-1" aria-hidden="true" tabindex="-1"></a>m <span class="ot"><-</span> <span class="fu">matrix</span>(</span>
|
||
|
|
<span id="cb4-2"><a href="#cb4-2" aria-hidden="true" tabindex="-1"></a> <span class="fu">c</span>(<span class="cn">NA</span>, <span class="cn">NA</span>, <span class="cn">NA</span>, <span class="dv">0</span>, <span class="dv">0</span>, <span class="dv">0</span>,</span>
|
||
|
|
<span id="cb4-3"><a href="#cb4-3" aria-hidden="true" tabindex="-1"></a> <span class="cn">NA</span>, <span class="cn">NA</span>, <span class="cn">NA</span>, <span class="dv">1</span>, <span class="dv">1</span>, <span class="dv">0</span>,</span>
|
||
|
|
<span id="cb4-4"><a href="#cb4-4" aria-hidden="true" tabindex="-1"></a> <span class="dv">0</span>, <span class="dv">0</span>, <span class="dv">1</span>, <span class="dv">1</span>, <span class="dv">1</span>, <span class="dv">0</span>,</span>
|
||
|
|
<span id="cb4-5"><a href="#cb4-5" aria-hidden="true" tabindex="-1"></a> <span class="dv">0</span>, <span class="dv">1</span>, <span class="dv">1</span>, <span class="dv">0</span>, <span class="dv">0</span>, <span class="dv">0</span>,</span>
|
||
|
|
<span id="cb4-6"><a href="#cb4-6" aria-hidden="true" tabindex="-1"></a> <span class="dv">0</span>, <span class="dv">0</span>, <span class="dv">0</span>, <span class="dv">1</span>, <span class="dv">0</span>, <span class="dv">0</span>,</span>
|
||
|
|
<span id="cb4-7"><a href="#cb4-7" aria-hidden="true" tabindex="-1"></a> <span class="dv">0</span>, <span class="dv">0</span>, <span class="dv">0</span>, <span class="dv">0</span>, <span class="dv">0</span>, <span class="dv">0</span>),</span>
|
||
|
|
<span id="cb4-8"><a href="#cb4-8" aria-hidden="true" tabindex="-1"></a> <span class="dv">6</span>, <span class="dv">6</span>, <span class="at">byrow =</span> <span class="cn">TRUE</span></span>
|
||
|
|
<span id="cb4-9"><a href="#cb4-9" aria-hidden="true" tabindex="-1"></a>)</span>
|
||
|
|
<span id="cb4-10"><a href="#cb4-10" aria-hidden="true" tabindex="-1"></a><span class="fu">plot_iso</span>(m, <span class="fl">0.5</span>, <span class="fl">1.5</span>)</span></code></pre></div>
|
||
|
|
<p><img src="data:image/png;base64,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
|
||
|
|
<p>Isobands can contain holes, as shown above, and they can also consist
|
||
|
|
of multiple disconnected pieces.</p>
|
||
|
|
<div class="sourceCode" id="cb5"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb5-1"><a href="#cb5-1" aria-hidden="true" tabindex="-1"></a>m <span class="ot"><-</span> <span class="fu">matrix</span>(</span>
|
||
|
|
<span id="cb5-2"><a href="#cb5-2" aria-hidden="true" tabindex="-1"></a> <span class="fu">c</span>(<span class="dv">0</span>, <span class="dv">0</span>, <span class="dv">1</span>, <span class="dv">1</span>,</span>
|
||
|
|
<span id="cb5-3"><a href="#cb5-3" aria-hidden="true" tabindex="-1"></a> <span class="dv">0</span>, <span class="dv">1</span>, <span class="dv">1</span>, <span class="dv">1</span>,</span>
|
||
|
|
<span id="cb5-4"><a href="#cb5-4" aria-hidden="true" tabindex="-1"></a> <span class="dv">1</span>, <span class="dv">1</span>, <span class="dv">0</span>, <span class="dv">0</span>,</span>
|
||
|
|
<span id="cb5-5"><a href="#cb5-5" aria-hidden="true" tabindex="-1"></a> <span class="dv">0</span>, <span class="dv">0</span>, <span class="fl">0.8</span>, <span class="dv">0</span>),</span>
|
||
|
|
<span id="cb5-6"><a href="#cb5-6" aria-hidden="true" tabindex="-1"></a> <span class="dv">4</span>, <span class="dv">4</span>, <span class="at">byrow =</span> <span class="cn">TRUE</span></span>
|
||
|
|
<span id="cb5-7"><a href="#cb5-7" aria-hidden="true" tabindex="-1"></a>)</span>
|
||
|
|
<span id="cb5-8"><a href="#cb5-8" aria-hidden="true" tabindex="-1"></a><span class="fu">plot_iso</span>(m, <span class="fl">0.5</span>, <span class="fl">1.5</span>)</span></code></pre></div>
|
||
|
|
<p><img src="data:image/png;base64,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
|
||
|
|
<div id="performance" class="section level1">
|
||
|
|
<h1>Performance</h1>
|
||
|
|
<p>The code is written in C++ and performance is generally good.
|
||
|
|
Isolining is about as fast as <code>grDevices::contourLines()</code>,
|
||
|
|
isobanding is approximately 2.5 times slower.</p>
|
||
|
|
<div class="sourceCode" id="cb6"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb6-1"><a href="#cb6-1" aria-hidden="true" tabindex="-1"></a><span class="co"># contouring with contourLines() from grDevices</span></span>
|
||
|
|
<span id="cb6-2"><a href="#cb6-2" aria-hidden="true" tabindex="-1"></a>fn_contourLines <span class="ot"><-</span> <span class="cf">function</span>() {</span>
|
||
|
|
<span id="cb6-3"><a href="#cb6-3" aria-hidden="true" tabindex="-1"></a> grDevices<span class="sc">::</span><span class="fu">contourLines</span>(<span class="dv">1</span><span class="sc">:</span><span class="fu">ncol</span>(volcano), <span class="dv">1</span><span class="sc">:</span><span class="fu">nrow</span>(volcano), volcano, <span class="at">levels =</span> <span class="dv">10</span><span class="sc">*</span>(<span class="dv">10</span><span class="sc">:</span><span class="dv">18</span>))</span>
|
||
|
|
<span id="cb6-4"><a href="#cb6-4" aria-hidden="true" tabindex="-1"></a>}</span>
|
||
|
|
<span id="cb6-5"><a href="#cb6-5" aria-hidden="true" tabindex="-1"></a></span>
|
||
|
|
<span id="cb6-6"><a href="#cb6-6" aria-hidden="true" tabindex="-1"></a><span class="co"># contouring with isolines()</span></span>
|
||
|
|
<span id="cb6-7"><a href="#cb6-7" aria-hidden="true" tabindex="-1"></a>fn_isolines <span class="ot"><-</span> <span class="cf">function</span>() {</span>
|
||
|
|
<span id="cb6-8"><a href="#cb6-8" aria-hidden="true" tabindex="-1"></a> <span class="fu">isolines</span>(<span class="dv">1</span><span class="sc">:</span><span class="fu">ncol</span>(volcano), <span class="dv">1</span><span class="sc">:</span><span class="fu">nrow</span>(volcano), volcano, <span class="dv">10</span><span class="sc">*</span>(<span class="dv">10</span><span class="sc">:</span><span class="dv">18</span>))</span>
|
||
|
|
<span id="cb6-9"><a href="#cb6-9" aria-hidden="true" tabindex="-1"></a>}</span>
|
||
|
|
<span id="cb6-10"><a href="#cb6-10" aria-hidden="true" tabindex="-1"></a></span>
|
||
|
|
<span id="cb6-11"><a href="#cb6-11" aria-hidden="true" tabindex="-1"></a><span class="co"># contouring with isobands()</span></span>
|
||
|
|
<span id="cb6-12"><a href="#cb6-12" aria-hidden="true" tabindex="-1"></a>fn_isobands <span class="ot"><-</span> <span class="cf">function</span>() {</span>
|
||
|
|
<span id="cb6-13"><a href="#cb6-13" aria-hidden="true" tabindex="-1"></a> <span class="fu">isobands</span>(<span class="dv">1</span><span class="sc">:</span><span class="fu">ncol</span>(volcano), <span class="dv">1</span><span class="sc">:</span><span class="fu">nrow</span>(volcano), volcano, <span class="dv">10</span><span class="sc">*</span>(<span class="dv">9</span><span class="sc">:</span><span class="dv">17</span>), <span class="dv">10</span><span class="sc">*</span>(<span class="dv">10</span><span class="sc">:</span><span class="dv">18</span>))</span>
|
||
|
|
<span id="cb6-14"><a href="#cb6-14" aria-hidden="true" tabindex="-1"></a>}</span>
|
||
|
|
<span id="cb6-15"><a href="#cb6-15" aria-hidden="true" tabindex="-1"></a></span>
|
||
|
|
<span id="cb6-16"><a href="#cb6-16" aria-hidden="true" tabindex="-1"></a>microbenchmark<span class="sc">::</span><span class="fu">microbenchmark</span>(<span class="fu">fn_contourLines</span>(), <span class="fu">fn_isolines</span>(), <span class="fu">fn_isobands</span>())</span>
|
||
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<span id="cb6-17"><a href="#cb6-17" aria-hidden="true" tabindex="-1"></a><span class="co">#> Warning in microbenchmark::microbenchmark(fn_contourLines(), fn_isolines(), :</span></span>
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<span id="cb6-18"><a href="#cb6-18" aria-hidden="true" tabindex="-1"></a><span class="co">#> less accurate nanosecond times to avoid potential integer overflows</span></span>
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<span id="cb6-19"><a href="#cb6-19" aria-hidden="true" tabindex="-1"></a><span class="co">#> Unit: microseconds</span></span>
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<span id="cb6-20"><a href="#cb6-20" aria-hidden="true" tabindex="-1"></a><span class="co">#> expr min lq mean median uq max</span></span>
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<span id="cb6-21"><a href="#cb6-21" aria-hidden="true" tabindex="-1"></a><span class="co">#> fn_contourLines() 822.419 897.982 1036.6727 963.3565 995.070 5253.822</span></span>
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<span id="cb6-22"><a href="#cb6-22" aria-hidden="true" tabindex="-1"></a><span class="co">#> fn_isolines() 566.948 587.653 616.8585 601.2445 614.549 1795.964</span></span>
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<span id="cb6-23"><a href="#cb6-23" aria-hidden="true" tabindex="-1"></a><span class="co">#> fn_isobands() 1327.867 1375.693 1778.1007 1399.7400 1421.593 36578.314</span></span>
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<span id="cb6-24"><a href="#cb6-24" aria-hidden="true" tabindex="-1"></a><span class="co">#> neval cld</span></span>
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<span id="cb6-25"><a href="#cb6-25" aria-hidden="true" tabindex="-1"></a><span class="co">#> 100 a </span></span>
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<span id="cb6-26"><a href="#cb6-26" aria-hidden="true" tabindex="-1"></a><span class="co">#> 100 a </span></span>
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<span id="cb6-27"><a href="#cb6-27" aria-hidden="true" tabindex="-1"></a><span class="co">#> 100 b</span></span></code></pre></div>
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