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17<div class="section" id="representing-quantities">
18<h1><a class="toc-backref" href="./dimensional-analysis.html#id43" name="representing-quantities">Representing Quantities</a></h1>
19<p>The types listed above are still pure metadata; to typecheck real
20computations we'll need to somehow bind them to our runtime data.
21A simple numeric value wrapper, parameterized on the number type <tt class="literal"><span class="pre">T</span></tt>
22and on its dimensions, fits the bill:</p>
23<pre class="literal-block">
24template &lt;class T, class Dimensions&gt;
25struct quantity
26{
27 explicit quantity(T x)
28 : m_value(x)
29 {}
30
31 T value() const { return m_value; }
32 private:
33 T m_value;
34};
35</pre>
36<!-- @ quantity_declaration = len(stack) - 1 # Remember position for later -->
37<p>Now we have a way to represent numbers associated with dimensions.
38For instance, we can say:</p>
39<pre class="literal-block">
40quantity&lt;float,length&gt; l( 1.0f );
41quantity&lt;float,mass&gt; m( 2.0f );
42</pre>
43<p>Note that <tt class="literal"><span class="pre">Dimensions</span></tt> doesn't appear anywhere in the definition
44of <tt class="literal"><span class="pre">quantity</span></tt> outside the template parameter list; its <em>only</em>
45role is to ensure that <tt class="literal"><span class="pre">l</span></tt> and <tt class="literal"><span class="pre">m</span></tt> have different types.
46Because they do, we cannot make the mistake of assigning a length
47to a mass:</p>
48<pre class="literal-block">
49m = l; // compile-time type error
50</pre>
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