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26<div class="titlepage"><div><div><h3 class="title">
27<a name="boost_optional.tutorial.design_overview"></a><a class="link" href="design_overview.html" title="Design Overview">Design Overview</a>
28</h3></div></div></div>
29<div class="section">
30<div class="titlepage"><div><div><h4 class="title">
31<a name="boost_optional.tutorial.design_overview.the_models"></a><a class="link" href="design_overview.html#boost_optional.tutorial.design_overview.the_models" title="The models">The
32 models</a>
33</h4></div></div></div>
34<p>
35 In C++, we can <span class="emphasis"><em>declare</em></span> an object (a variable) of type
36 <code class="computeroutput"><span class="identifier">T</span></code>, and we can give this
37 variable an <span class="emphasis"><em>initial value</em></span> (through an <span class="emphasis"><em>initializer</em></span>.
38 (cf. 8.5)). When a declaration includes a non-empty initializer (an initial
39 value is given), it is said that the object has been initialized. If the
40 declaration uses an empty initializer (no initial value is given), and
41 neither default nor value initialization applies, it is said that the object
42 is <span class="bold"><strong>uninitialized</strong></span>. Its actual value exist
43 but has an <span class="emphasis"><em>indeterminate initial value</em></span> (cf. 8.5/11).
44 <code class="computeroutput"><span class="identifier">optional</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">&gt;</span></code>
45 intends to formalize the notion of initialization (or lack of it) allowing
46 a program to test whether an object has been initialized and stating that
47 access to the value of an uninitialized object is undefined behavior. That
48 is, when a variable is declared as <code class="computeroutput"><span class="identifier">optional</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">&gt;</span></code> and no initial value is given, the
49 variable is <span class="emphasis"><em>formally</em></span> uninitialized. A formally uninitialized
50 optional object has conceptually no value at all and this situation can
51 be tested at runtime. It is formally <span class="emphasis"><em>undefined behavior</em></span>
52 to try to access the value of an uninitialized optional. An uninitialized
53 optional can be assigned a value, in which case its initialization state
54 changes to initialized. Furthermore, given the formal treatment of initialization
55 states in optional objects, it is even possible to reset an optional to
56 <span class="emphasis"><em>uninitialized</em></span>.
57 </p>
58<p>
59 In C++ there is no formal notion of uninitialized objects, which means
60 that objects always have an initial value even if indeterminate. As discussed
61 on the previous section, this has a drawback because you need additional
62 information to tell if an object has been effectively initialized. One
63 of the typical ways in which this has been historically dealt with is via
64 a special value: <code class="computeroutput"><span class="identifier">EOF</span></code>,
65 <code class="computeroutput"><span class="identifier">npos</span></code>, -1, etc... This is
66 equivalent to adding the special value to the set of possible values of
67 a given type. This super set of <code class="computeroutput"><span class="identifier">T</span></code>
68 plus some <span class="emphasis"><em>nil_t</em></span>&#8212;where <code class="computeroutput"><span class="identifier">nil_t</span></code>
69 is some stateless POD&#8212;can be modeled in modern languages as a <span class="bold"><strong>discriminated union</strong></span> of T and nil_t. Discriminated
70 unions are often called <span class="emphasis"><em>variants</em></span>. A variant has a
71 <span class="emphasis"><em>current type</em></span>, which in our case is either <code class="computeroutput"><span class="identifier">T</span></code> or <code class="computeroutput"><span class="identifier">nil_t</span></code>.
72 Using the <a href="../../../../../variant/index.html" target="_top">Boost.Variant</a>
73 library, this model can be implemented in terms of <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">variant</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">,</span><span class="identifier">nil_t</span><span class="special">&gt;</span></code>. There is precedent for a discriminated
74 union as a model for an optional value: the <a href="http://www.haskell.org/" target="_top">Haskell</a>
75 <span class="bold"><strong>Maybe</strong></span> built-in type constructor. Thus,
76 a discriminated union <code class="computeroutput"><span class="identifier">T</span><span class="special">+</span><span class="identifier">nil_t</span></code>
77 serves as a conceptual foundation.
78 </p>
79<p>
80 A <code class="computeroutput"><span class="identifier">variant</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">,</span><span class="identifier">nil_t</span><span class="special">&gt;</span></code> follows naturally from the traditional
81 idiom of extending the range of possible values adding an additional sentinel
82 value with the special meaning of <span class="emphasis"><em>Nothing</em></span>. However,
83 this additional <span class="emphasis"><em>Nothing</em></span> value is largely irrelevant
84 for our purpose since our goal is to formalize the notion of uninitialized
85 objects and, while a special extended value can be used to convey that
86 meaning, it is not strictly necessary in order to do so.
87 </p>
88<p>
89 The observation made in the last paragraph about the irrelevant nature
90 of the additional <code class="computeroutput"><span class="identifier">nil_t</span></code>
91 with respect to <span class="underline">purpose</span> of <code class="computeroutput"><span class="identifier">optional</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">&gt;</span></code>
92 suggests an alternative model: a <span class="emphasis"><em>container</em></span> that either
93 has a value of <code class="computeroutput"><span class="identifier">T</span></code> or nothing.
94 </p>
95<p>
96 As of this writing I don't know of any precedent for a variable-size fixed-capacity
97 (of 1) stack-based container model for optional values, yet I believe this
98 is the consequence of the lack of practical implementations of such a container
99 rather than an inherent shortcoming of the container model.
100 </p>
101<p>
102 In any event, both the discriminated-union or the single-element container
103 models serve as a conceptual ground for a class representing optional&#8212;i.e.
104 possibly uninitialized&#8212;objects. For instance, these models show the
105 <span class="emphasis"><em>exact</em></span> semantics required for a wrapper of optional
106 values:
107 </p>
108<p>
109 Discriminated-union:
110 </p>
111<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
112<li class="listitem">
113 <span class="bold"><strong>deep-copy</strong></span> semantics: copies of the
114 variant implies copies of the value.
115 </li>
116<li class="listitem">
117 <span class="bold"><strong>deep-relational</strong></span> semantics: comparisons
118 between variants matches both current types and values
119 </li>
120<li class="listitem">
121 If the variant's current type is <code class="computeroutput"><span class="identifier">T</span></code>,
122 it is modeling an <span class="emphasis"><em>initialized</em></span> optional.
123 </li>
124<li class="listitem">
125 If the variant's current type is not <code class="computeroutput"><span class="identifier">T</span></code>,
126 it is modeling an <span class="emphasis"><em>uninitialized</em></span> optional.
127 </li>
128<li class="listitem">
129 Testing if the variant's current type is <code class="computeroutput"><span class="identifier">T</span></code>
130 models testing if the optional is initialized
131 </li>
132<li class="listitem">
133 Trying to extract a <code class="computeroutput"><span class="identifier">T</span></code>
134 from a variant when its current type is not <code class="computeroutput"><span class="identifier">T</span></code>,
135 models the undefined behavior of trying to access the value of an uninitialized
136 optional
137 </li>
138</ul></div>
139<p>
140 Single-element container:
141 </p>
142<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
143<li class="listitem">
144 <span class="bold"><strong>deep-copy</strong></span> semantics: copies of the
145 container implies copies of the value.
146 </li>
147<li class="listitem">
148 <span class="bold"><strong>deep-relational</strong></span> semantics: comparisons
149 between containers compare container size and if match, contained value
150 </li>
151<li class="listitem">
152 If the container is not empty (contains an object of type <code class="computeroutput"><span class="identifier">T</span></code>), it is modeling an <span class="emphasis"><em>initialized</em></span>
153 optional.
154 </li>
155<li class="listitem">
156 If the container is empty, it is modeling an <span class="emphasis"><em>uninitialized</em></span>
157 optional.
158 </li>
159<li class="listitem">
160 Testing if the container is empty models testing if the optional is
161 initialized
162 </li>
163<li class="listitem">
164 Trying to extract a <code class="computeroutput"><span class="identifier">T</span></code>
165 from an empty container models the undefined behavior of trying to
166 access the value of an uninitialized optional
167 </li>
168</ul></div>
169</div>
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173<td align="right"><div class="copyright-footer">Copyright &#169; 2003-2007 Fernando Luis Cacciola Carballal<br>Copyright &#169; 2014-2016 Andrzej Krzemie&#324;ski<p>
174 Distributed under the Boost Software License, Version 1.0. (See accompanying
175 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>)
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