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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
20 computations we'll need to somehow bind them to our runtime data.
21 A simple numeric value wrapper, parameterized on the number type <tt class="literal"><span class="pre">T</span></tt>
22 and on its dimensions, fits the bill:</p>
23 <pre class="literal-block">
24 template &lt;class T, class Dimensions&gt;
25 struct 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.
38 For instance, we can say:</p>
39 <pre class="literal-block">
40 quantity&lt;float,length&gt; l( 1.0f );
41 quantity&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
44 of <tt class="literal"><span class="pre">quantity</span></tt> outside the template parameter list; its <em>only</em>
45 role 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.
46 Because they do, we cannot make the mistake of assigning a length
47 to a mass:</p>
48 <pre class="literal-block">
49 m = l; // compile-time type error
50 </pre>
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