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