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+<html>
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+</div>
+<div class="section">
+<div class="titlepage"><div><div><h2 class="title" style="clear: both">
+<a name="optional.tutorial"></a><a class="link" href="tutorial.html" title="Tutorial">Tutorial</a>
+</h2></div></div></div>
+<div class="toc"><dl class="toc">
+<dt><span class="section"><a href="tutorial.html#boost_optional.tutorial.motivation">Motivation</a></span></dt>
+<dt><span class="section"><a href="../boost_optional/tutorial/design_overview.html">Design Overview</a></span></dt>
+<dt><span class="section"><a href="../boost_optional/tutorial/when_to_use_optional.html">When to
+      use Optional</a></span></dt>
+<dt><span class="section"><a href="../boost_optional/tutorial/relational_operators.html">Relational
+      operators</a></span></dt>
+<dt><span class="section"><a href="../boost_optional/tutorial/io_operators.html">IO operators</a></span></dt>
+<dt><span class="section"><a href="../boost_optional/tutorial/optional_references.html">Optional
+      references</a></span></dt>
+<dt><span class="section"><a href="../boost_optional/tutorial/in_place_factories.html">In-Place
+      Factories</a></span></dt>
+<dt><span class="section"><a href="../boost_optional/tutorial/gotchas.html">Gotchas</a></span></dt>
+<dt><span class="section"><a href="../boost_optional/tutorial/exception_safety_guarantees.html">Exception
+      Safety Guarantees</a></span></dt>
+<dt><span class="section"><a href="../boost_optional/tutorial/type_requirements.html">Type requirements</a></span></dt>
+<dt><span class="section"><a href="../boost_optional/tutorial/performance_considerations.html">Performance
+      considerations</a></span></dt>
+</dl></div>
+<div class="section">
+<div class="titlepage"><div><div><h3 class="title">
+<a name="boost_optional.tutorial.motivation"></a><a class="link" href="tutorial.html#boost_optional.tutorial.motivation" title="Motivation">Motivation</a>
+</h3></div></div></div>
+<p>
+        Consider these functions which should return a value but which might not
+        have a value to return:
+      </p>
+<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
+<li class="listitem">
+            (A) <code class="computeroutput"><span class="keyword">double</span> <span class="identifier">sqrt</span><span class="special">(</span><span class="keyword">double</span> <span class="identifier">n</span> <span class="special">);</span></code>
+          </li>
+<li class="listitem">
+            (B) <code class="computeroutput"><span class="keyword">char</span> <span class="identifier">get_async_input</span><span class="special">();</span></code>
+          </li>
+<li class="listitem">
+            (C) <code class="computeroutput"><span class="identifier">point</span> <span class="identifier">polygon</span><span class="special">::</span><span class="identifier">get_any_point_effectively_inside</span><span class="special">();</span></code>
+          </li>
+</ul></div>
+<p>
+        There are different approaches to the issue of not having a value to return.
+      </p>
+<p>
+        A typical approach is to consider the existence of a valid return value as
+        a postcondition, so that if the function cannot compute the value to return,
+        it has either undefined behavior (and can use assert in a debug build) or
+        uses a runtime check and throws an exception if the postcondition is violated.
+        This is a reasonable choice for example, for function (A), because the lack
+        of a proper return value is directly related to an invalid parameter (out
+        of domain argument), so it is appropriate to require the callee to supply
+        only parameters in a valid domain for execution to continue normally.
+      </p>
+<p>
+        However, function (B), because of its asynchronous nature, does not fail
+        just because it can't find a value to return; so it is incorrect to consider
+        such a situation an error and assert or throw an exception. This function
+        must return, and somehow, must tell the callee that it is not returning a
+        meaningful value.
+      </p>
+<p>
+        A similar situation occurs with function (C): it is conceptually an error
+        to ask a <span class="emphasis"><em>null-area</em></span> polygon to return a point inside
+        itself, but in many applications, it is just impractical for performance
+        reasons to treat this as an error (because detecting that the polygon has
+        no area might be too expensive to be required to be tested previously), and
+        either an arbitrary point (typically at infinity) is returned, or some efficient
+        way to tell the callee that there is no such point is used.
+      </p>
+<p>
+        There are various mechanisms to let functions communicate that the returned
+        value is not valid. One such mechanism, which is quite common since it has
+        zero or negligible overhead, is to use a special value which is reserved
+        to communicate this. Classical examples of such special values are <code class="computeroutput"><span class="identifier">EOF</span></code>, <code class="computeroutput"><span class="identifier">string</span><span class="special">::</span><span class="identifier">npos</span></code>,
+        points at infinity, etc...
+      </p>
+<p>
+        When those values exist, i.e. the return type can hold all meaningful values
+        <span class="emphasis"><em>plus</em></span> the <span class="emphasis"><em>signal</em></span> value, this mechanism
+        is quite appropriate and well known. Unfortunately, there are cases when
+        such values do not exist. In these cases, the usual alternative is either
+        to use a wider type, such as <code class="computeroutput"><span class="keyword">int</span></code>
+        in place of <code class="computeroutput"><span class="keyword">char</span></code>; or a compound
+        type, such as <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special">&lt;</span><span class="identifier">point</span><span class="special">,</span><span class="keyword">bool</span><span class="special">&gt;</span></code>.
+      </p>
+<p>
+        Returning a <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">,</span><span class="keyword">bool</span><span class="special">&gt;</span></code>, thus attaching a boolean flag to the
+        result which indicates if the result is meaningful, has the advantage that
+        can be turned into a consistent idiom since the first element of the pair
+        can be whatever the function would conceptually return. For example, the
+        last two functions could have the following interface:
+      </p>
+<pre class="programlisting"><span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special">&lt;</span><span class="keyword">char</span><span class="special">,</span><span class="keyword">bool</span><span class="special">&gt;</span> <span class="identifier">get_async_input</span><span class="special">();</span>
+<span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special">&lt;</span><span class="identifier">point</span><span class="special">,</span><span class="keyword">bool</span><span class="special">&gt;</span> <span class="identifier">polygon</span><span class="special">::</span><span class="identifier">get_any_point_effectively_inside</span><span class="special">();</span>
+</pre>
+<p>
+        These functions use a consistent interface for dealing with possibly nonexistent
+        results:
+      </p>
+<pre class="programlisting"><span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special">&lt;</span><span class="identifier">point</span><span class="special">,</span><span class="keyword">bool</span><span class="special">&gt;</span> <span class="identifier">p</span> <span class="special">=</span> <span class="identifier">poly</span><span class="special">.</span><span class="identifier">get_any_point_effectively_inside</span><span class="special">();</span>
+<span class="keyword">if</span> <span class="special">(</span> <span class="identifier">p</span><span class="special">.</span><span class="identifier">second</span> <span class="special">)</span>
+    <span class="identifier">flood_fill</span><span class="special">(</span><span class="identifier">p</span><span class="special">.</span><span class="identifier">first</span><span class="special">);</span>
+</pre>
+<p>
+        However, not only is this quite a burden syntactically, it is also error
+        prone since the user can easily use the function result (first element of
+        the pair) without ever checking if it has a valid value.
+      </p>
+<p>
+        Clearly, we need a better idiom.
+      </p>
+</div>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2003-2007 Fernando Luis Cacciola Carballal<br>Copyright &#169; 2014-2018 Andrzej Krzemie&#324;ski<p>
+        Distributed under the Boost Software License, Version 1.0. (See accompanying
+        file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
+      </p>
+</div></td>
+</tr></table>
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