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7 | <title>THE BOOST MPL LIBRARY: The lambda Metafunction</title> |
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12 | <td class="header-group page-location"><a href="../index.html" class="navigation-link">Front Page</a> / <a href="./tutorial-metafunctions.html" class="navigation-link">Tutorial: Metafunctions and Higher-Order Metaprogramming</a> / <a href="./handling-placeholders.html" class="navigation-link">Handling Placeholders</a> / <a href="./the-lambda-metafunction.html" class="navigation-link">The lambda Metafunction</a></td> |
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14 | <div class="section" id="the-lambda-metafunction"> |
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15 | <h1><a class="toc-backref" href="./handling-placeholders.html#id49" name="the-lambda-metafunction">The <tt class="literal"><span class="pre">lambda</span></tt> Metafunction</a></h1> |
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16 | <p>We can <em>generate</em> a metafunction class from |
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17 | <tt class="literal"><span class="pre">boost::add_pointer<_1></span></tt>, using MPL's <tt class="literal"><span class="pre">lambda</span></tt> metafunction:</p> |
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18 | <pre class="literal-block"> |
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19 | template <class X> |
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20 | struct two_pointers |
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21 | : twice<<strong>typename mpl::lambda<boost::add_pointer<_1> >::type</strong>, X> |
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22 | {}; |
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23 | |
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24 | BOOST_STATIC_ASSERT(( |
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25 | boost::is_same< |
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26 | two_pointers<int>::type |
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27 | , int** |
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28 | >::value |
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29 | )); |
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30 | </pre> |
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31 | <!-- @ prefix.append('#include <boost/mpl/lambda.hpp>') |
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32 | compile('all') --> |
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33 | <p>We'll refer to metafunction classes like <tt class="literal"><span class="pre">add_pointer_f</span></tt> and |
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34 | placeholder expressions like <tt class="literal"><span class="pre">boost::add_pointer<_1></span></tt> |
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35 | as <strong>lambda expressions</strong>. The term, meaning "unnamed function |
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36 | object," was introduced in the 1930s by the logician Alonzo Church |
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37 | as part of a fundamental theory of computation he called the |
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38 | <em>lambda-calculus</em>. <a class="footnote-reference" href="#lambda" id="id10" name="id10">[4]</a> MPL uses the somewhat obscure word |
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39 | <tt class="literal"><span class="pre">lambda</span></tt> because of its well-established precedent in functional |
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40 | programming languages.</p> |
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41 | <table class="footnote" frame="void" id="lambda" rules="none"> |
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42 | <colgroup><col class="label" /><col /></colgroup> |
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43 | <tbody valign="top"> |
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44 | <tr><td class="label"><a class="fn-backref" href="#id10" name="lambda">[4]</a></td><td>See <a class="reference" href="http://en.wikipedia.org/wiki/Lambda_calculus" target="_top">http://en.wikipedia.org/wiki/Lambda_calculus</a> for |
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45 | an in-depth treatment, including a reference to Church's paper |
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46 | proving that the equivalence of lambda expressions is in general |
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47 | not decidable.</td></tr> |
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48 | </tbody> |
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49 | </table> |
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50 | <p>Although its primary purpose is to turn placeholder expressions |
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51 | into metafunction classes, <tt class="literal"><span class="pre">mpl::lambda</span></tt> can accept any lambda |
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52 | expression, even if it's already a metafunction class. In that |
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53 | case, <tt class="literal"><span class="pre">lambda</span></tt> returns its argument unchanged. MPL algorithms |
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54 | like <tt class="literal"><span class="pre">transform</span></tt> call <tt class="literal"><span class="pre">lambda</span></tt> internally, before invoking the |
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55 | resulting metafunction class, so that they work equally well with |
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56 | either kind of lambda expression. We can apply the same strategy |
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57 | to <tt class="literal"><span class="pre">twice</span></tt>:</p> |
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58 | <pre class="literal-block"> |
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59 | template <class F, class X> |
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60 | struct twice |
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61 | : apply1< |
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62 | typename mpl::lambda<F>::type |
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63 | , typename apply1< |
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64 | typename mpl::lambda<F>::type |
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65 | , X |
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66 | >::type |
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67 | > |
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68 | {}; |
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69 | </pre> |
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70 | <p>Now we can use <tt class="literal"><span class="pre">twice</span></tt> with metafunction classes <em>and</em> |
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71 | placeholder expressions:</p> |
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72 | <pre class="literal-block"> |
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73 | int* x; |
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74 | |
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75 | twice<<strong>add_pointer_f</strong>, int>::type p = &x; |
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76 | twice<<strong>boost::add_pointer<_1></strong>, int>::type q = &x; |
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77 | </pre> |
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78 | <!-- @ stack[-2:] = [ apply1, stack[-2], add_pointer_f, stack[-1]] |
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79 | compile('all') --> |
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80 | </div> |
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81 | |
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