EVOLUTION-MANAGER

Edit File: units.html

<!DOCTYPE html>

<html>

<head>

<title>Units of Measurement for R Vectors: an Introduction</title>

.tabset-dropdown > .nav-tabs > li.active:before {
  content: "";
  font-family: 'Glyphicons Halflings';
  display: inline-block;
  padding: 10px;
  border-right: 1px solid #ddd;
}

.tabset-dropdown > .nav-tabs.nav-tabs-open > li.active:before {
  content: "";
  border: none;
}

.tabset-dropdown > .nav-tabs.nav-tabs-open:before {
  content: "";
  font-family: 'Glyphicons Halflings';
  display: inline-block;
  padding: 10px;
  border-right: 1px solid #ddd;
}

.tabset-dropdown > .nav-tabs > li.active {
  display: block;
}

.tabset-dropdown > .nav-tabs > li > a,
.tabset-dropdown > .nav-tabs > li > a:focus,
.tabset-dropdown > .nav-tabs > li > a:hover {
  border: none;
  display: inline-block;
  border-radius: 4px;
  background-color: transparent;
}

.tabset-dropdown > .nav-tabs.nav-tabs-open > li {
  display: block;
  float: none;
}

.tabset-dropdown > .nav-tabs > li {
  display: none;
}
</style>

</head>

<body>

<h1 class="title toc-ignore">Units of Measurement for R Vectors: an Introduction</h1>

</div>

<div id="TOC">
<ul>
<li><a href="#setting-units-unit-conversion">Setting units, unit conversion</a><ul>
<li><a href="#unit-conversion">Unit conversion</a></li>
</ul></li>
<li><a href="#basic-manipulations">Basic manipulations</a><ul>
<li><a href="#arithmetic-operations">Arithmetic operations</a></li>
<li><a href="#unit-simplification">Unit simplification</a></li>
<li><a href="#mathematical-functions">Mathematical functions</a></li>
<li><a href="#summary-functions">Summary functions</a></li>
<li><a href="#printing">Printing</a></li>
<li><a href="#subsetting">Subsetting</a></li>
<li><a href="#concatenation">Concatenation</a></li>
</ul></li>
<li><a href="#conversion-tofrom-difftime">Conversion to/from <code>difftime</code></a></li>
<li><a href="#units-in-matrix-objects">units in <code>matrix</code> objects</a></li>
<li><a href="#units-objects-in-data.frames">units objects in <code>data.frame</code>s</a></li>
<li><a href="#formatting">formatting</a></li>
<li><a href="#plotting">plotting</a></li>
</ul>
</div>

<p>R has little support for physical measurement units. The exception is formed by time differences: time differences objects of class <code>difftime</code> have a <code>units</code> attribute that can be modified:</p>
<pre class="r"><code>t1 = Sys.time() 
t2 = t1 + 3600 
d = t2 - t1
class(d)
## [1] &quot;difftime&quot;
units(d)
## [1] &quot;hours&quot;
d
## Time difference of 1 hours
units(d) = &quot;secs&quot;
d
## Time difference of 3600 secs</code></pre>
<p>We see here that the <code>units</code> method is used to retrieve and modify the unit of time differences.</p>
<p>The <code>units</code> package generalizes this idea to other physical units, building upon the <a href="https://cran.r-project.org/package=udunits2">udunits2</a> R package, which in turn is build upon the <a href="https://www.unidata.ucar.edu/software/udunits/">udunits2</a> C library. The <code>udunits2</code> library provides the following operations:</p>
<ul>
<li>validating whether an expression, such as <code>m/s</code> is a valid physical unit</li>
<li>verifying whether two units such as <code>m/s</code> and <code>km/h</code> are convertible</li>
<li>converting values between two convertible units</li>
<li>providing names and symbols for specific units</li>
<li>handle different character encodings (utf8, ascii, iso-8859-1 and latin1)</li>
</ul>
<p>The <code>units</code> R package uses R package <a href="https://cran.r-project.org/package=udunits2"><code>udunits2</code></a> to extend R with functionality for manipulating numeric vectors that have physical measurement units associated with them, in a similar way as <code>difftime</code> objects behave.</p>
<div id="setting-units-unit-conversion" class="section level2">
<h2>Setting units, unit conversion</h2>
<p>Existing units are resolved from a database in the <code>units</code> package, called <code>ud_units</code>. We can see the first three elements of it by</p>
<pre class="r"><code>library(units)
ud_units[1:3]
## $m
## 1 [m]
## 
## $kg
## 1 [kg]
## 
## $s
## 1 [s]</code></pre>
<p>We can set units to numerical values by <code>set_units</code>:</p>
<pre class="r"><code>(a &lt;- set_units(runif(10),  m/s))
## Units: [m/s]
##  [1] 0.4518294 0.3910316 0.5732944 0.6965670 0.2450122 0.4020448 0.4025526
##  [8] 0.7891220 0.5043406 0.1370050</code></pre>
<p>the result, e.g.</p>
<pre class="r"><code>set_units(10, m/s)
## 10 [m/s]</code></pre>
<p>literally means &quot;10 times 1 m divided by 1 s&quot;. In writing, the &quot;1&quot; values are omitted, and the multiplication is implicit.</p>
<p>The <code>units</code> package comes with a list of over 3000 predefined units,</p>
<pre class="r"><code>length(ud_units)
## [1] 3248</code></pre>
<p>We can retrieve a single unit from the <code>ud_units</code> database by</p>
<pre class="r"><code>with(ud_units, km/h)
## 1 [km/h]</code></pre>
<div id="unit-conversion" class="section level3">
<h3>Unit conversion</h3>
<p>When conversion is meaningful, such as hours to seconds or meters to kilometers, conversion can be done explicitly by setting the units of a vector</p>
<pre class="r"><code>b = a
units(b) &lt;- with(ud_units, km/h)
b
## Units: [km/h]
##  [1] 1.6265858 1.4077138 2.0638598 2.5076413 0.8820439 1.4473614 1.4491894
##  [8] 2.8408390 1.8156263 0.4932182</code></pre>
</div>
</div>
<div id="basic-manipulations" class="section level2">
<h2>Basic manipulations</h2>
<div id="arithmetic-operations" class="section level3">
<h3>Arithmetic operations</h3>
<p>Arithmetic operations verify units, and create new ones</p>
<pre class="r"><code>a + a
## Units: [m/s]
##  [1] 0.9036588 0.7820632 1.1465888 1.3931341 0.4900244 0.8040897 0.8051052
##  [8] 1.5782439 1.0086813 0.2740101
a * a
## Units: [m^2/s^2]
##  [1] 0.20414981 0.15290573 0.32866646 0.48520562 0.06003097 0.16164006
##  [7] 0.16204860 0.62271346 0.25435948 0.01877038
a ^ 2
## Units: [m^2/s^2]
##  [1] 0.20414981 0.15290573 0.32866646 0.48520562 0.06003097 0.16164006
##  [7] 0.16204860 0.62271346 0.25435948 0.01877038
a ** -2
## Units: [s^2/m^2]
##  [1]  4.898364  6.539977  3.042598  2.060982 16.658067  6.186585  6.170988
##  [8]  1.605875  3.931444 53.275420</code></pre>
<p>and convert to the units of the first argument if necessary:</p>
<pre class="r"><code>a + b # m/s + km/h -&gt; m/s
## Units: [m/s]
##  [1] 0.9036588 0.7820632 1.1465888 1.3931341 0.4900244 0.8040897 0.8051052
##  [8] 1.5782439 1.0086813 0.2740101</code></pre>
<p>Currently, powers are only supported for integer powers, so using <code>a ** 2.5</code> would result in an error.</p>
</div>
<div id="unit-simplification" class="section level3">
<h3>Unit simplification</h3>
<p>There are some basic simplification of units:</p>
<pre class="r"><code>t &lt;- with(ud_units, s)
a * t
## Units: [m]
##  [1] 0.4518294 0.3910316 0.5732944 0.6965670 0.2450122 0.4020448 0.4025526
##  [8] 0.7891220 0.5043406 0.1370050</code></pre>
<p>which also work when units need to be converted before they can be simplified:</p>
<pre class="r"><code>t &lt;- with(ud_units, min)
a * t
## Units: [m]
##  [1] 27.109764 23.461897 34.397663 41.794022 14.700732 24.122691 24.153157
##  [8] 47.347317 30.260438  8.220303</code></pre>
<p>Simplification to unit-less values gives the &quot;1&quot; as unit:</p>
<pre class="r"><code>m &lt;- with(ud_units, m)
a * t / m
## Units: [1]
##  [1] 27.109764 23.461897 34.397663 41.794022 14.700732 24.122691 24.153157
##  [8] 47.347317 30.260438  8.220303</code></pre>
<p>Allowed operations that require convertible units are <code>+</code>, <code>-</code>, <code>==</code>, <code>!=</code>, <code>&lt;</code>, <code>&gt;</code>, <code>&lt;=</code>, <code>&gt;=</code>. Operations that lead to new units are <code>*</code>, <code>/</code>, and the power operations <code>**</code> and <code>^</code>.</p>
</div>
<div id="mathematical-functions" class="section level3">
<h3>Mathematical functions</h3>
<p>Mathematical operations allowed are: <code>abs</code>, <code>sign</code>, <code>floor</code>, <code>ceiling</code>, <code>trunc</code>, <code>round</code>, <code>signif</code>, <code>log</code>, <code>cumsum</code>, <code>cummax</code>, <code>cummin</code>.</p>
<pre class="r"><code>signif(a ** 2 / 3, 3)
## Units: [m^2/s^2]
##  [1] 0.06800 0.05100 0.11000 0.16200 0.02000 0.05390 0.05400 0.20800 0.08480
## [10] 0.00626
cumsum(a)
## Units: [m/s]
##  [1] 0.4518294 0.8428610 1.4161554 2.1127224 2.3577346 2.7597795 3.1623321
##  [8] 3.9514540 4.4557947 4.5927997
log(a) # base defaults to exp(1)
## Units: [(ln(re 1 m.s-1))]
##  [1] -0.7944506 -0.9389668 -0.5563559 -0.3615913 -1.4064473 -0.9111916
##  [7] -0.9099295 -0.2368344 -0.6845034 -1.9877375
log(a, base = 10)
## Units: [(lg(re 1 m.s-1))]
##  [1] -0.3450255 -0.4077881 -0.2416223 -0.1570371 -0.6108123 -0.3957255
##  [7] -0.3951774 -0.1028559 -0.2972760 -0.8632634
log(a, base = 2)
## Units: [(lb(re 1 m.s-1))]
##  [1] -1.1461499 -1.3546428 -0.8026519 -0.5216659 -2.0290745 -1.3145717
##  [7] -1.3127507 -0.3416798 -0.9875296 -2.8676991</code></pre>
</div>
<div id="summary-functions" class="section level3">
<h3>Summary functions</h3>
<p>Summary functions <code>sum</code>, <code>min</code>, <code>max</code>, and <code>range</code> are allowed:</p>
<pre class="r"><code>sum(a)
## 4.5928 [m/s]
min(a)
## 0.137005 [m/s]
max(a)
## 0.789122 [m/s]
range(a)
## Units: [m/s]
## [1] 0.137005 0.789122
with(ud_units, min(m/s, km/h)) # converts to first unit:
## 0.2777778 [m/s]</code></pre>
</div>
<div id="printing" class="section level3">
<h3>Printing</h3>
<p>Following <code>difftime</code>, printing behaves differently for length-one vectors:</p>
<pre class="r"><code>a
## Units: [m/s]
##  [1] 0.4518294 0.3910316 0.5732944 0.6965670 0.2450122 0.4020448 0.4025526
##  [8] 0.7891220 0.5043406 0.1370050
a[1]
## 0.4518294 [m/s]</code></pre>
</div>
<div id="subsetting" class="section level3">
<h3>Subsetting</h3>
<p>The usual subsetting rules work:</p>
<pre class="r"><code>a[2:5]
## Units: [m/s]
## [1] 0.3910316 0.5732944 0.6965670 0.2450122
a[-(1:9)]
## 0.137005 [m/s]</code></pre>
</div>
<div id="concatenation" class="section level3">
<h3>Concatenation</h3>
<pre class="r"><code>c(a,a)
## Units: [m/s]
##  [1] 0.4518294 0.3910316 0.5732944 0.6965670 0.2450122 0.4020448 0.4025526
##  [8] 0.7891220 0.5043406 0.1370050 0.4518294 0.3910316 0.5732944 0.6965670
## [15] 0.2450122 0.4020448 0.4025526 0.7891220 0.5043406 0.1370050</code></pre>
<p>concatenation converts to the units of the first argument, if necessary:</p>
<pre class="r"><code>c(a,b) # m/s, km/h -&gt; m/s
## Units: [m/s]
##  [1] 0.4518294 0.3910316 0.5732944 0.6965670 0.2450122 0.4020448 0.4025526
##  [8] 0.7891220 0.5043406 0.1370050 0.4518294 0.3910316 0.5732944 0.6965670
## [15] 0.2450122 0.4020448 0.4025526 0.7891220 0.5043406 0.1370050
c(b,a) # km/h, m/s -&gt; km/h
## Units: [km/h]
##  [1] 1.6265858 1.4077138 2.0638598 2.5076413 0.8820439 1.4473614 1.4491894
##  [8] 2.8408390 1.8156263 0.4932182 1.6265858 1.4077138 2.0638598 2.5076413
## [15] 0.8820439 1.4473614 1.4491894 2.8408390 1.8156263 0.4932182</code></pre>
</div>
</div>
<div id="conversion-tofrom-difftime" class="section level2">
<h2>Conversion to/from <code>difftime</code></h2>
<p>From <code>difftime</code> to <code>units</code>:</p>
<pre class="r"><code>t1 = Sys.time() 
t2 = t1 + 3600 
d = t2 - t1
(du = as_units(d))
## 1 [h]</code></pre>
<p>vice versa:</p>
<pre class="r"><code>(dt = as_difftime(du))
## Time difference of 1 hours
class(dt)
## [1] &quot;difftime&quot;</code></pre>
</div>
<div id="units-in-matrix-objects" class="section level2">
<h2>units in <code>matrix</code> objects</h2>
<pre class="r"><code>set_units(matrix(1:4,2,2), m/s)
## Units: [m/s]
##      [,1] [,2]
## [1,]    1    3
## [2,]    2    4
set_units(matrix(1:4,2,2), m/s * m/s)
## Units: [m^2/s^2]
##      [,1] [,2]
## [1,]    1    3
## [2,]    2    4</code></pre>
<p>but</p>
<pre class="r"><code>set_units(matrix(1:4,2,2), m/s) %*% set_units(4:3, m/s)
##      [,1]
## [1,]   13
## [2,]   20</code></pre>
<p>strips units.</p>
</div>
<div id="units-objects-in-data.frames" class="section level2">
<h2>units objects in <code>data.frame</code>s</h2>
<p>units in <code>data.frame</code> objects are printed, but do not appear in <code>summary</code>:.</p>
<pre class="r"><code>set.seed(131)
d &lt;- data.frame(x = runif(4), 
                    y = set_units(runif(4), s), 
                    z = set_units(1:4, m/s))
d
##           x             y       z
## 1 0.2064370 0.8463468 [s] 1 [m/s]
## 2 0.1249422 0.5292048 [s] 2 [m/s]
## 3 0.2932732 0.5186254 [s] 3 [m/s]
## 4 0.3757797 0.2378545 [s] 4 [m/s]
summary(d)
##        x                y                z       
##  Min.   :0.1249   Min.   :0.2379   Min.   :1.00  
##  1st Qu.:0.1861   1st Qu.:0.4484   1st Qu.:1.75  
##  Median :0.2499   Median :0.5239   Median :2.50  
##  Mean   :0.2501   Mean   :0.5330   Mean   :2.50  
##  3rd Qu.:0.3139   3rd Qu.:0.6085   3rd Qu.:3.25  
##  Max.   :0.3758   Max.   :0.8463   Max.   :4.00
d$yz = with(d, y * z)
d
##           x             y       z            yz
## 1 0.2064370 0.8463468 [s] 1 [m/s] 0.8463468 [m]
## 2 0.1249422 0.5292048 [s] 2 [m/s] 1.0584095 [m]
## 3 0.2932732 0.5186254 [s] 3 [m/s] 1.5558761 [m]
## 4 0.3757797 0.2378545 [s] 4 [m/s] 0.9514180 [m]
d[1, &quot;yz&quot;]
## 0.8463468 [m]</code></pre>
</div>
<div id="formatting" class="section level2">
<h2>formatting</h2>
<p>Units are often written in the form <code>m2 s-1</code>, for square meter per second. This can be defined as unit, and also parsed by <code>as_units</code>:</p>
<pre class="r"><code>(x = 1:10 * as_units(&quot;m2 s-1&quot;))
## Units: [m^2/s]
##  [1]  1  2  3  4  5  6  7  8  9 10</code></pre>
<p>udunits understands such string, and can convert them</p>
<pre class="r"><code>y = 1:10 * with(ud_units, m^2/s)
x + y
## Units: [m^2/s]
##  [1]  2  4  6  8 10 12 14 16 18 20</code></pre>
<p>Printing units in this form is done by</p>
<pre class="r"><code>deparse_unit(x)
## [1] &quot;m2 s-1&quot;</code></pre>
</div>
<div id="plotting" class="section level2">
<h2>plotting</h2>
<p>Base scatter plots and histograms support automatic unit placement in axis labels. In the following example we first convert to SI units. (Unit <code>in</code> needs a bit special treatment, because <code>in</code> is a reserved word in R.)</p>
<pre class="r"><code>mar = par(&quot;mar&quot;) + c(0, .3, 0, 0)
displacement = mtcars$disp * ud_units[[&quot;in&quot;]]^3
units(displacement) = with(ud_units, cm^3)
weight = mtcars$wt * 1000 * with(ud_units, lb)
units(weight) = with(ud_units, kg)
par(mar = mar)
plot(weight, displacement)</code></pre>
<p><img src="data:image/png;base64,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" width="672" /></p>
<p>We can change grouping symbols from <code>[ ]</code> into <code>( )</code>:</p>
<pre class="r"><code>units_options(group = c(&quot;(&quot;, &quot;)&quot;) )  # parenthesis instead of square brackets
par(mar = mar)
plot(weight, displacement)</code></pre>
<p><img src="data:image/png;base64,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" width="672" /></p>
<p>We can also remove grouping symbols, increase space between variable name and unit by:</p>
<pre class="r"><code>units_options(sep = c(&quot;~~~&quot;, &quot;~&quot;), group = c(&quot;&quot;, &quot;&quot;))  # no brackets; extra space
par(mar = mar)
plot(weight, displacement)</code></pre>
<p><img src="data:image/png;base64,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" width="672" /></p>
<p>More complex units can be plotted either with negative powers, or as divisions, by modifying one of <code>units</code>'s global options using <code>units_options</code>:</p>
<pre class="r"><code>gallon = as_units(&quot;gallon&quot;)
consumption = mtcars$mpg * with(ud_units, mi/gallon)
units(consumption) = with(ud_units, km/l)
par(mar = mar)
plot(displacement, consumption) # division in consumption</code></pre>
<p><img src="data:image/png;base64,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" width="672" /></p>
<pre class="r"><code>units_options(negative_power = TRUE) # division becomes ^-1
plot(displacement, consumption) # division in consumption</code></pre>
<p><img src="data:image/png;base64,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" width="672" /></p>
<p>As usual, units modify automatically in expressions:</p>
<pre class="r"><code>units_options(negative_power = TRUE) # division becomes ^-1
par(mar = mar)
plot(displacement, consumption)</code></pre>
<p><img src="data:image/png;base64,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" width="672" /></p>
<pre class="r"><code>plot(1/displacement, 1/consumption)</code></pre>
<p><img src="data:image/png;base64,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" width="672" /></p>
</div>

</div>

// add bootstrap table styles to pandoc tables
function bootstrapStylePandocTables() {
  $('tr.header').parent('thead').parent('table').addClass('table table-condensed');
}
$(document).ready(function () {
  bootstrapStylePandocTables();
});

</script>

$(document).ready(function () {
  $('.tabset-dropdown > .nav-tabs > li').click(function () {
    $(this).parent().toggleClass('nav-tabs-open')
  });
});
</script>

<script>
  (function () {
    var script = document.createElement("script");
    script.type = "text/javascript";
    script.src  = "https://mathjax.rstudio.com/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML";
    document.getElementsByTagName("head")[0].appendChild(script);
  })();
</script>

</body>
</html>