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17<div class="section" id="exercises">
18<h1><a class="toc-backref" href="./tutorial-metafunctions.html#id60" name="exercises">Exercises</a></h1>
19<dl>
20<dt>1-0.</dt>
21<dd>Use <tt class="literal"><span class="pre">BOOST_STATIC_ASSERT</span></tt> to add error checking to the <tt class="literal"><span class="pre">binary</span></tt>
22template presented in section <a class="reference" href="./resources.html">1</a>.4.1 so
23that <tt class="literal"><span class="pre">binary&lt;N&gt;::value</span></tt> causes a compilation error if <tt class="literal"><span class="pre">N</span></tt>
24contains digits other than <tt class="literal"><span class="pre">0</span></tt> or <tt class="literal"><span class="pre">1</span></tt>.</dd>
25<dt>1-1.</dt>
26<dd>Turn <tt class="literal"><span class="pre">vector_c&lt;int,1,2,3&gt;</span></tt> into a type sequence with elements
27(2,3,4) using <tt class="literal"><span class="pre">transform</span></tt>.</dd>
28<dt>1-2.</dt>
29<dd>Turn <tt class="literal"><span class="pre">vector_c&lt;int,1,2,3&gt;</span></tt> into a type sequence with elements
30(1,4,9) using <tt class="literal"><span class="pre">transform</span></tt>.</dd>
31<dt>1-3.</dt>
32<dd>Turn <tt class="literal"><span class="pre">T</span></tt> into <tt class="literal"><span class="pre">T****</span></tt> by using <tt class="literal"><span class="pre">twice</span></tt> twice.</dd>
33<dt>1-4.</dt>
34<dd>Turn <tt class="literal"><span class="pre">T</span></tt> into <tt class="literal"><span class="pre">T****</span></tt> using <tt class="literal"><span class="pre">twice</span></tt> on itself.</dd>
35<dt>1-5.</dt>
36<dd><p class="first">There's still a problem with the dimensional analysis code in
37section 1.1.
38Hint: What happens when you do:</p>
39<pre class="literal-block">
40f = f + m * a;
41</pre>
42<p>Repair this example using techniques shown in this
43chapter.</p>
44<!-- @ example.wrap('''void will_fail%s
45{ quantity<float,force> f(m*a);
46''' % ma_function_args, '}')
47stack[:0] = dimensional_analysis # stick support code in
48compile('all', expect_error = True) -->
49</dd>
50<dt>1-6.</dt>
51<dd>Build a lambda expression that has functionality equivalent to
52<tt class="literal"><span class="pre">twice</span></tt>. Hint: <tt class="literal"><span class="pre">mpl::apply</span></tt> is a metafunction!</dd>
53<dt>1-7*.</dt>
54<dd><p class="first">What do you think would be the semantics of the following
55constructs:</p>
56<pre class="literal-block">
57typedef mpl::lambda&lt;mpl::lambda&lt;_1&gt; &gt;::type t1;
58typedef mpl::apply&lt;_1,mpl::plus&lt;_1,_2&gt; &gt;::type t2;
59typedef mpl::apply&lt;_1,std::vector&lt;int&gt; &gt;::type t3;
60typedef mpl::apply&lt;_1,std::vector&lt;_1&gt; &gt;::type t4;
61typedef mpl::apply&lt;mpl::lambda&lt;_1&gt;,std::vector&lt;int&gt; &gt;::type t5;
62typedef mpl::apply&lt;mpl::lambda&lt;_1&gt;,std::vector&lt;_1&gt; &gt;::type t6;
63typedef mpl::apply&lt;mpl::lambda&lt;_1&gt;,mpl::plus&lt;_1,_2&gt; &gt;::type t7;
64typedef mpl::apply&lt;_1,mpl::lambda&lt; mpl::plus&lt;_1,_2&gt; &gt; &gt;::type t8;
65</pre>
66<!-- @example.prepend('#include <vector>')
67compile() -->
68<p class="last">Show the steps used to
69arrive at your answers and write tests verifying your assumptions.
70Did the library behavior match your reasoning? If not, analyze the
71failed tests to discover the actual expression semantics.
72Explain why your assumptions were different, what
73behavior you find more coherent, and why.</p>
74</dd>
75<dt>1-8*.</dt>
76<dd>Our dimensional analysis framework dealt with dimensions, but it
77entirely ignored the issue of <em>units</em>. A length can be
78represented in inches, feet, or meters. A force can be
79represented in newtons or in kg m/sec<sup>2</sup>. Add the
80ability to specify units and test your code. Try to make your
81interface as syntactically friendly as possible for the user.</dd>
82</dl>
83<!-- Along with Alan Turing, Church was one of the founders of computer
84science. -->
85<!-- yes, this is easier to read, but the real beauty of ``apply`` is that
86it not only works on metafunction classes, but on metafunctions passed
87with placeholder arguments. -->
88<!-- Naturally, MPL defines a series of these numbered placeholder
89types, so that we can handle metafunctions with more arguments. -->
90<!-- : in order to pass a template in the ``BinaryOperation`` position,
91``transform`` would have to be declared::
92
93 template <
94 class Sequence1, class Sequence2
95 , template <class,class> class BinaryOperation
96 >
97 struct transform; // returning a sequence -->
98<!-- "Programming with types" -->
99<!-- Once again, a nested ``value`` member is optional for
100metafunctions, and required for integral type wrappers. -->
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