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26<div class="section">
27<div class="titlepage"><div><div><h2 class="title" style="clear: both">
28<a name="lambda.extending"></a>Extending return type deduction system</h2></div></div></div>
29<p>
30
31
32In this section, we explain  how to extend the return type deduction system
33to cover user defined operators.
34
35In many cases this is not necessary,
36as the BLL defines default return types for operators.
37
38For example, the default return type for all comparison operators is
39<code class="literal">bool</code>, and as long as the user defined comparison operators
40have a bool return type, there is no need to write new specializations
41for the return type deduction classes.
42
43Sometimes this cannot be avoided, though.
44
45</p>
46<p>
47The overloadable user defined operators are either unary or binary.
48
49For each arity, there are two traits templates that define the
50return types of the different operators.
51
52Hence, the return type system can be extended by providing more
53specializations for these templates.
54
55The templates for unary functors are
56
57<code class="literal">
58plain_return_type_1&lt;Action, A&gt;
59</code>
60
61and
62
63<code class="literal">
64return_type_1&lt;Action, A&gt;
65</code>, and
66
67<code class="literal">
68plain_return_type_2&lt;Action, A, B&gt;
69</code>
70
71and
72
73<code class="literal">
74return_type_2&lt;Action, A, B&gt;
75</code>
76
77respectively for binary functors.
78
79</p>
80<p>
81The first parameter (<code class="literal">Action</code>) to all these templates
82is the <span class="emphasis"><em>action</em></span> class, which specifies the operator.
83
84Operators with similar return type rules are grouped together into
85<span class="emphasis"><em>action groups</em></span>,
86and only the action class and action group together define the operator
87unambiguously.
88
89As an example, the action type
90<code class="literal">arithmetic_action&lt;plus_action&gt;</code> stands for
91<code class="literal">operator+</code>.
92
93The complete listing of different action types is shown in
94<a class="xref" href="extending.html#table:actions" title="Table 20.2. Action types">Table 20.2, “Action types”</a>.
95</p>
96<p>
97The latter parameters, <code class="literal">A</code> in the unary case,
98or <code class="literal">A</code> and <code class="literal">B</code> in the binary case,
99stand for the argument types of the operator call.
100
101The two sets of templates,
102<code class="literal">plain_return_type_<em class="parameter"><code>n</code></em></code> and
103<code class="literal">return_type_<em class="parameter"><code>n</code></em></code>
104(<em class="parameter"><code>n</code></em> is 1 or 2) differ in the way how parameter types
105are presented to them.
106
107For the former templates, the parameter types are always provided as
108non-reference types, and do not have const or volatile qualifiers.
109
110This makes specializing easy, as commonly one specialization for each
111user defined operator, or operator group, is enough.
112
113On the other hand, if a particular operator is overloaded for different
114cv-qualifications of the same argument types,
115and the return types of these overloaded versions differ, a more fine-grained control is needed.
116
117Hence, for the latter templates, the parameter types preserve the
118cv-qualifiers, and are non-reference types as well.
119
120The downside is, that for an overloaded set of operators of the
121kind described above, one may end up needing up to
12216 <code class="literal">return_type_2</code> specializations.
123</p>
124<p>
125Suppose the user has overloaded the following operators for some user defined
126types <code class="literal">X</code>, <code class="literal">Y</code> and <code class="literal">Z</code>:
127
128</p>
129<pre class="programlisting">
130Z operator+(const X&amp;, const Y&amp;);
131Z operator-(const X&amp;, const Y&amp;);
132</pre>
133<p>
134
135Now, one can add a specialization stating, that if the left hand argument
136is of type <code class="literal">X</code>, and the right hand one of type
137<code class="literal">Y</code>, the return type of all such binary arithmetic
138operators is <code class="literal">Z</code>:
139
140</p>
141<pre class="programlisting">
142namespace boost {
143namespace lambda {
144
145template&lt;class Act&gt;
146struct plain_return_type_2&lt;arithmetic_action&lt;Act&gt;, X, Y&gt; {
147  typedef Z type;
148};
149
150}
151}
152</pre>
153<p>
154
155Having this specialization defined, BLL is capable of correctly
156deducing the return type of the above two operators.
157
158Note, that the specializations must be in the same namespace,
159<code class="literal">::boost::lambda</code>, with the primary template.
160
161For brevity, we do not show the namespace definitions in the examples below.
162</p>
163<p>
164It is possible to specialize on the level of an individual operator as well,
165in addition to providing a specialization for a group of operators.
166Say, we add a new arithmetic operator for argument types <code class="literal">X</code>
167and <code class="literal">Y</code>:
168
169</p>
170<pre class="programlisting">
171X operator*(const X&amp;, const Y&amp;);
172</pre>
173<p>
174
175Our first rule for all arithmetic operators specifies that the return
176type of this operator is <code class="literal">Z</code>,
177which obviously is not the case.
178Hence, we provide a new rule for the multiplication operator:
179
180</p>
181<pre class="programlisting">
182template&lt;&gt;
183struct plain_return_type_2&lt;arithmetic_action&lt;multiply_action&gt;, X, Y&gt; {
184  typedef X type;
185};
186</pre>
187<p>
188</p>
189<p>
190The specializations can define arbitrary mappings from the argument types
191to the return type.
192
193Suppose we have some mathematical vector type, templated on the element type:
194
195</p>
196<pre class="programlisting">
197template &lt;class T&gt; class my_vector;
198</pre>
199<p>
200
201Suppose the addition operator is defined between any two
202<code class="literal">my_vector</code> instantiations,
203as long as the addition operator is defined between their element types.
204
205Furthermore, the element type of the resulting <code class="literal">my_vector</code>
206is the same as the result type of the addition between the element types.
207
208E.g., adding <code class="literal">my_vector&lt;int&gt;</code> and
209<code class="literal">my_vector&lt;double&gt;</code> results in
210<code class="literal">my_vector&lt;double&gt;</code>.
211
212The BLL has traits classes to perform the implicit built-in and standard
213type conversions between integral, floating point, and complex classes.
214
215Using BLL tools, the addition operator described above can be defined as:
216
217</p>
218<pre class="programlisting">
219template&lt;class A, class B&gt;
220my_vector&lt;typename return_type_2&lt;arithmetic_action&lt;plus_action&gt;, A, B&gt;::type&gt;
221operator+(const my_vector&lt;A&gt;&amp; a, const my_vector&lt;B&gt;&amp; b)
222{
223  typedef typename
224    return_type_2&lt;arithmetic_action&lt;plus_action&gt;, A, B&gt;::type res_type;
225  return my_vector&lt;res_type&gt;();
226}
227</pre>
228<p>
229</p>
230<p>
231To allow BLL to deduce the type of <code class="literal">my_vector</code>
232additions correctly, we can define:
233
234</p>
235<pre class="programlisting">
236template&lt;class A, class B&gt;
237class plain_return_type_2&lt;arithmetic_action&lt;plus_action&gt;,
238                           my_vector&lt;A&gt;, my_vector&lt;B&gt; &gt; {
239  typedef typename
240    return_type_2&lt;arithmetic_action&lt;plus_action&gt;, A, B&gt;::type res_type;
241public:
242  typedef my_vector&lt;res_type&gt; type;
243};
244</pre>
245<p>
246Note, that we are reusing the existing specializations for the
247BLL <code class="literal">return_type_2</code> template,
248which require that the argument types are references.
249</p>
250<div class="table">
251<a name="table:actions"></a><p class="title"><b>Table 20.2. Action types</b></p>
252<div class="table-contents"><table class="table" summary="Action types">
253<colgroup>
254<col>
255<col>
256</colgroup>
257<tbody>
258<tr>
259<td><code class="literal">+</code></td>
260<td><code class="literal">arithmetic_action&lt;plus_action&gt;</code></td>
261</tr>
262<tr>
263<td><code class="literal">-</code></td>
264<td><code class="literal">arithmetic_action&lt;minus_action&gt;</code></td>
265</tr>
266<tr>
267<td><code class="literal">*</code></td>
268<td><code class="literal">arithmetic_action&lt;multiply_action&gt;</code></td>
269</tr>
270<tr>
271<td><code class="literal">/</code></td>
272<td><code class="literal">arithmetic_action&lt;divide_action&gt;</code></td>
273</tr>
274<tr>
275<td><code class="literal">%</code></td>
276<td><code class="literal">arithmetic_action&lt;remainder_action&gt;</code></td>
277</tr>
278<tr>
279<td><code class="literal">+</code></td>
280<td><code class="literal">unary_arithmetic_action&lt;plus_action&gt;</code></td>
281</tr>
282<tr>
283<td><code class="literal">-</code></td>
284<td><code class="literal">unary_arithmetic_action&lt;minus_action&gt;</code></td>
285</tr>
286<tr>
287<td><code class="literal">&amp;</code></td>
288<td><code class="literal">bitwise_action&lt;and_action&gt;</code></td>
289</tr>
290<tr>
291<td><code class="literal">|</code></td>
292<td><code class="literal">bitwise_action&lt;or_action&gt;</code></td>
293</tr>
294<tr>
295<td><code class="literal">~</code></td>
296<td><code class="literal">bitwise_action&lt;not_action&gt;</code></td>
297</tr>
298<tr>
299<td><code class="literal">^</code></td>
300<td><code class="literal">bitwise_action&lt;xor_action&gt;</code></td>
301</tr>
302<tr>
303<td><code class="literal">&lt;&lt;</code></td>
304<td><code class="literal">bitwise_action&lt;leftshift_action_no_stream&gt;</code></td>
305</tr>
306<tr>
307<td><code class="literal">&gt;&gt;</code></td>
308<td><code class="literal">bitwise_action&lt;rightshift_action_no_stream&gt;</code></td>
309</tr>
310<tr>
311<td><code class="literal">&amp;&amp;</code></td>
312<td><code class="literal">logical_action&lt;and_action&gt;</code></td>
313</tr>
314<tr>
315<td><code class="literal">||</code></td>
316<td><code class="literal">logical_action&lt;or_action&gt;</code></td>
317</tr>
318<tr>
319<td><code class="literal">!</code></td>
320<td><code class="literal">logical_action&lt;not_action&gt;</code></td>
321</tr>
322<tr>
323<td><code class="literal">&lt;</code></td>
324<td><code class="literal">relational_action&lt;less_action&gt;</code></td>
325</tr>
326<tr>
327<td><code class="literal">&gt;</code></td>
328<td><code class="literal">relational_action&lt;greater_action&gt;</code></td>
329</tr>
330<tr>
331<td><code class="literal">&lt;=</code></td>
332<td><code class="literal">relational_action&lt;lessorequal_action&gt;</code></td>
333</tr>
334<tr>
335<td><code class="literal">&gt;=</code></td>
336<td><code class="literal">relational_action&lt;greaterorequal_action&gt;</code></td>
337</tr>
338<tr>
339<td><code class="literal">==</code></td>
340<td><code class="literal">relational_action&lt;equal_action&gt;</code></td>
341</tr>
342<tr>
343<td><code class="literal">!=</code></td>
344<td><code class="literal">relational_action&lt;notequal_action&gt;</code></td>
345</tr>
346<tr>
347<td><code class="literal">+=</code></td>
348<td><code class="literal">arithmetic_assignment_action&lt;plus_action&gt;</code></td>
349</tr>
350<tr>
351<td><code class="literal">-=</code></td>
352<td><code class="literal">arithmetic_assignment_action&lt;minus_action&gt;</code></td>
353</tr>
354<tr>
355<td><code class="literal">*=</code></td>
356<td><code class="literal">arithmetic_assignment_action&lt;multiply_action&gt;</code></td>
357</tr>
358<tr>
359<td><code class="literal">/=</code></td>
360<td><code class="literal">arithmetic_assignment_action&lt;divide_action&gt;</code></td>
361</tr>
362<tr>
363<td><code class="literal">%=</code></td>
364<td><code class="literal">arithmetic_assignment_action&lt;remainder_action&gt;</code></td>
365</tr>
366<tr>
367<td><code class="literal">&amp;=</code></td>
368<td><code class="literal">bitwise_assignment_action&lt;and_action&gt;</code></td>
369</tr>
370<tr>
371<td><code class="literal">=|</code></td>
372<td><code class="literal">bitwise_assignment_action&lt;or_action&gt;</code></td>
373</tr>
374<tr>
375<td><code class="literal">^=</code></td>
376<td><code class="literal">bitwise_assignment_action&lt;xor_action&gt;</code></td>
377</tr>
378<tr>
379<td><code class="literal">&lt;&lt;=</code></td>
380<td><code class="literal">bitwise_assignment_action&lt;leftshift_action&gt;</code></td>
381</tr>
382<tr>
383<td><code class="literal">&gt;&gt;=</code></td>
384<td><code class="literal">bitwise_assignment_action&lt;rightshift_action&gt;</code></td>
385</tr>
386<tr>
387<td><code class="literal">++</code></td>
388<td><code class="literal">pre_increment_decrement_action&lt;increment_action&gt;</code></td>
389</tr>
390<tr>
391<td><code class="literal">--</code></td>
392<td><code class="literal">pre_increment_decrement_action&lt;decrement_action&gt;</code></td>
393</tr>
394<tr>
395<td><code class="literal">++</code></td>
396<td><code class="literal">post_increment_decrement_action&lt;increment_action&gt;</code></td>
397</tr>
398<tr>
399<td><code class="literal">--</code></td>
400<td><code class="literal">post_increment_decrement_action&lt;decrement_action&gt;</code></td>
401</tr>
402<tr>
403<td><code class="literal">&amp;</code></td>
404<td><code class="literal">other_action&lt;address_of_action&gt;</code></td>
405</tr>
406<tr>
407<td><code class="literal">*</code></td>
408<td><code class="literal">other_action&lt;contents_of_action&gt;</code></td>
409</tr>
410<tr>
411<td><code class="literal">,</code></td>
412<td><code class="literal">other_action&lt;comma_action&gt;</code></td>
413</tr>
414<tr>
415<td><code class="literal">-&gt;*</code></td>
416<td><code class="literal">other_action&lt;member_pointer_action&gt;</code></td>
417</tr>
418</tbody>
419</table></div>
420</div>
421<br class="table-break">
422</div>
423<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
424<td align="left"></td>
425<td align="right"><div class="copyright-footer">Copyright © 1999-2004 Jaakko Järvi, Gary Powell<p>Use, modification and distribution is subject to the Boost
426    Software License, Version 1.0. (See accompanying file
427    <code class="filename">LICENSE_1_0.txt</code> 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>
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