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| <div class="section" lang="en"> |
| <div class="titlepage"><div><div><h3 class="title"> |
| <a name="boost_icl.function_reference.intersection"></a><a class="link" href="intersection.html" title="Intersection">Intersection</a> |
| </h3></div></div></div> |
| <div class="toc"><dl> |
| <dt><span class="section"><a href="intersection.html#boost_icl.function_reference.intersection.synopsis">Synopsis</a></span></dt> |
| <dt><span class="section"><a href="intersection.html#boost_icl.function_reference.intersection.functions">Functions</a></span></dt> |
| <dt><span class="section"><a href="intersection.html#boost_icl.function_reference.intersection.inplace_operators">Inplace |
| operators</a></span></dt> |
| <dt><span class="section"><a href="intersection.html#boost_icl.function_reference.intersection.infix_operators">Infix |
| operators</a></span></dt> |
| <dt><span class="section"><a href="intersection.html#boost_icl.function_reference.intersection.intersection_tester">Intersection |
| tester</a></span></dt> |
| </dl></div> |
| <div class="section" lang="en"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="boost_icl.function_reference.intersection.synopsis"></a><a class="link" href="intersection.html#boost_icl.function_reference.intersection.synopsis" title="Synopsis">Synopsis</a> |
| </h4></div></div></div> |
| <div class="informaltable"><table class="table"> |
| <colgroup> |
| <col> |
| <col> |
| <col> |
| <col> |
| <col> |
| <col> |
| </colgroup> |
| <thead><tr> |
| <th> |
| <p> |
| Intersection |
| </p> |
| </th> |
| <th> |
| <p> |
| interval<br> type |
| </p> |
| </th> |
| <th> |
| <p> |
| interval<br> sets |
| </p> |
| </th> |
| <th> |
| <p> |
| interval<br> maps |
| </p> |
| </th> |
| <th> |
| <p> |
| element<br> sets |
| </p> |
| </th> |
| <th> |
| <p> |
| element<br> maps |
| </p> |
| </th> |
| </tr></thead> |
| <tbody> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="keyword">void</span> <span class="identifier">add_intersection</span><span class="special">(</span><span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> |
| <span class="identifier">T</span><span class="special">&,</span> |
| <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a> |
| </p> |
| </td> |
| <td> |
| <p> |
| <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">T</span><span class="special">&</span> |
| <span class="keyword">operator</span> <span class="special">&=(</span><span class="identifier">T</span><span class="special">&,</span> |
| <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a> |
| </p> |
| </td> |
| <td> |
| <p> |
| <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a> |
| </p> |
| </td> |
| <td> |
| <p> |
| <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a> |
| </p> |
| </td> |
| <td> |
| <p> |
| <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">T</span> <span class="keyword">operator</span> |
| <span class="special">&</span> <span class="special">(</span><span class="identifier">T</span><span class="special">,</span> |
| <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code><br> <code class="computeroutput"><span class="identifier">T</span> |
| <span class="keyword">operator</span> <span class="special">&</span> |
| <span class="special">(</span><span class="keyword">const</span> |
| <span class="identifier">P</span><span class="special">&,</span> |
| <span class="identifier">T</span><span class="special">)</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> |
| </p> |
| </td> |
| <td> |
| <p> |
| <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a> |
| </p> |
| </td> |
| <td> |
| <p> |
| <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a> |
| </p> |
| </td> |
| <td> |
| <p> |
| <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a> |
| </p> |
| </td> |
| <td> |
| <p> |
| <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">intersects</span><span class="special">(</span><span class="keyword">const</span> |
| <span class="identifier">T</span><span class="special">&,</span> |
| <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code><br> <code class="computeroutput"><span class="keyword">bool</span> |
| <span class="identifier">disjoint</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> |
| <span class="identifier">P</span><span class="special">&)</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> |
| </p> |
| </td> |
| <td> |
| <p> |
| <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a> |
| </p> |
| </td> |
| <td> |
| <p> |
| <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#interval_type"><span class="bold"><strong>i</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#interval_set_types"><span class="bold"><strong>S</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#interval_mapping_type"><span class="bold"><strong>p</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#interval_map_types"><span class="bold"><strong>M</strong></span></a> |
| </p> |
| </td> |
| <td> |
| <p> |
| <a class="link" href="../interface/function_synopsis.html#element_type"><span class="bold"><strong>e</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#itl_set_type"><span class="bold"><strong>s</strong></span></a> |
| </p> |
| </td> |
| <td> |
| <p> |
| <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> |
| <a class="link" href="../interface/function_synopsis.html#itl_map_type"><span class="bold"><strong>m</strong></span></a> |
| </p> |
| </td> |
| </tr> |
| </tbody> |
| </table></div> |
| <p> |
| Functions and operators that are related to <span class="emphasis"><em><span class="bold"><strong>intersection</strong></span></em></span> |
| on <span class="bold"><strong>icl</strong></span> objects are given in the table |
| above. |
| </p> |
| <div class="informaltable"><table class="table"> |
| <colgroup> |
| <col> |
| <col> |
| </colgroup> |
| <thead><tr> |
| <th> |
| <p> |
| </p> |
| </th> |
| <th> |
| <p> |
| Description of Intersection |
| </p> |
| </th> |
| </tr></thead> |
| <tbody> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">Sets</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| Intersection on Sets implements <span class="emphasis"><em><span class="bold"><strong>set |
| intersection</strong></span></em></span> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">Maps</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| Intersection on Maps implements a <span class="emphasis"><em><span class="bold"><strong>map |
| intersection</strong></span></em></span> function similar to <span class="emphasis"><em>set |
| intersection</em></span>. If, on intersection, an element value |
| pair <code class="computeroutput"><span class="special">(</span><span class="identifier">k</span><span class="special">,</span><span class="identifier">v</span><span class="special">)</span></code> it's key <code class="computeroutput"><span class="identifier">k</span></code> |
| is in the map already, the intersection function is propagated |
| to the associated value, if it exists for the Map's codomain_type. |
| </p> |
| <p> |
| If the codomain_type has no intersection operation, associated |
| values are combined using addition. For partial map types this |
| results in an addition on the intersection of the domains of the |
| intersected sets. For total maps intersection and addition are |
| identical in this case. |
| </p> |
| <p> |
| See also <a class="link" href="../semantics/quantifiers__maps_of_numbers.html#boost_icl.semantics.quantifiers__maps_of_numbers.intersection_on_quantifiers"><span class="emphasis"><em>intersection |
| on Maps of numbers</em></span></a>. |
| </p> |
| <p> |
| A Map can be intersected with key types: an element (an interval |
| for interval_maps) and and a Set. This results in the selection |
| of a submap, and can be defined as a generalized selection function |
| on Maps. |
| </p> |
| </td> |
| </tr> |
| </tbody> |
| </table></div> |
| </div> |
| <div class="section" lang="en"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="boost_icl.function_reference.intersection.functions"></a><a class="link" href="intersection.html#boost_icl.function_reference.intersection.functions" title="Functions">Functions</a> |
| </h4></div></div></div> |
| <p> |
| The overloaded function |
| </p> |
| <p> |
| <code class="computeroutput"><span class="keyword">void</span> <span class="identifier">add_intersection</span><span class="special">(</span><span class="identifier">T</span><span class="special">&</span> |
| <span class="identifier">result</span><span class="special">,</span> |
| <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&</span> <span class="identifier">y</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&</span> <span class="identifier">x</span><span class="special">)</span></code> |
| </p> |
| <p> |
| allows to accumulate the intersection of <code class="computeroutput"><span class="identifier">y</span></code> |
| and <code class="computeroutput"><span class="identifier">x</span></code> in the first argument |
| <code class="computeroutput"><span class="identifier">result</span></code>. <code class="computeroutput"><span class="identifier">Result</span></code> |
| might already contain data. In this case the intersection of <code class="computeroutput"><span class="identifier">y</span></code> and <code class="computeroutput"><span class="identifier">x</span></code> |
| is <code class="computeroutput"><span class="identifier">added</span></code> the the contents |
| of <code class="computeroutput"><span class="identifier">result</span></code>. |
| </p> |
| <pre class="programlisting"><span class="identifier">T</span> <span class="identifier">s1</span> <span class="special">=</span> <span class="identifier">f</span><span class="special">,</span> <span class="identifier">s2</span> <span class="special">=</span> <span class="identifier">f</span><span class="special">,</span> <span class="identifier">y</span> <span class="special">=</span> <span class="identifier">g</span><span class="special">;</span> <span class="identifier">P</span> <span class="identifier">x</span> <span class="special">=</span> <span class="identifier">h</span><span class="special">;</span> <span class="comment">// The effect of |
| </span><span class="identifier">add_intersection</span><span class="special">(</span><span class="identifier">s1</span><span class="special">,</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">x</span><span class="special">);</span> <span class="comment">// add_intersection |
| </span><span class="identifier">s2</span> <span class="special">+=</span> <span class="special">(</span><span class="identifier">y</span> <span class="special">&</span> <span class="identifier">x</span><span class="special">);</span> <span class="comment">// and & followed by += |
| </span><span class="identifier">assert</span><span class="special">(</span><span class="identifier">s1</span><span class="special">==</span><span class="identifier">s2</span><span class="special">);</span> <span class="comment">// is identical |
| </span></pre> |
| <p> |
| </p> |
| <p> |
| This might be convenient, if intersection is used like a generalized selection |
| function. Using element or segment types for <code class="computeroutput"><span class="identifier">P</span></code>, |
| we can select small parts of a container <code class="computeroutput"><span class="identifier">y</span></code> |
| and accumulate them in <code class="computeroutput"><span class="identifier">section</span></code>. |
| </p> |
| <p> |
| The admissible combinations of types for function <code class="computeroutput"><span class="keyword">void</span> |
| <span class="identifier">add_intersection</span><span class="special">(</span><span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span></code> |
| can be summarized in the <span class="emphasis"><em><span class="bold"><strong>overload table</strong></span></em></span> |
| below. Compared to other overload tables, placements of function arguments |
| are different: Row headers denote type <code class="computeroutput"><span class="identifier">T</span></code> |
| of <code class="computeroutput"><span class="special">*</span><span class="keyword">this</span></code> |
| object. Columns headers denote type <code class="computeroutput"><span class="identifier">P</span></code> |
| of the second function argument. The table cells contain the arguments |
| <code class="computeroutput"><span class="identifier">T</span></code> of the intersections |
| <code class="computeroutput"><span class="identifier">result</span></code>, which is the functions |
| first argument. |
| </p> |
| <p> |
| |
| </p> |
| <pre class="programlisting"><span class="comment">/* overload table for */</span> <span class="identifier">T</span><span class="special">\</span><span class="identifier">P</span><span class="special">|</span> <span class="identifier">e</span> <span class="identifier">i</span> <span class="identifier">b</span> <span class="identifier">p</span> |
| <span class="keyword">void</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">add_intersection</span><span class="special">(</span><span class="identifier">T</span><span class="special">&</span> <span class="identifier">result</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span><span class="keyword">const</span> <span class="special">---+--------</span> |
| <span class="identifier">s</span> <span class="special">|</span> <span class="identifier">s</span> |
| <span class="identifier">m</span> <span class="special">|</span> <span class="identifier">m</span> <span class="identifier">m</span> |
| <span class="identifier">S</span> <span class="special">|</span> <span class="identifier">S</span> <span class="identifier">S</span> |
| <span class="identifier">M</span> <span class="special">|</span> <span class="identifier">M</span> <span class="identifier">M</span> <span class="identifier">M</span> <span class="identifier">M</span> |
| </pre> |
| <p> |
| </p> |
| <p> |
| The next table contains complexity characteristics for function <code class="computeroutput"><span class="identifier">add_intersection</span></code>. |
| </p> |
| <div class="table"> |
| <a name="id1167746"></a><p class="title"><b>Table 1.34. Time Complexity for function add_intersection |
| on icl containers</b></p> |
| <div class="table-contents"><table class="table" summary="Time Complexity for function add_intersection |
| on icl containers"> |
| <colgroup> |
| <col> |
| <col> |
| <col> |
| <col> |
| <col> |
| </colgroup> |
| <thead><tr> |
| <th> |
| <p> |
| <code class="computeroutput"><span class="keyword">void</span> <span class="identifier">add_intersection</span><span class="special">(</span><span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> |
| <span class="identifier">T</span><span class="special">&,</span> |
| <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span><span class="keyword">const</span></code> |
| </p> |
| </th> |
| <th> |
| <p> |
| domain<br> type |
| </p> |
| </th> |
| <th> |
| <p> |
| interval<br> type |
| </p> |
| </th> |
| <th> |
| <p> |
| domain<br> mapping<br> type |
| </p> |
| </th> |
| <th> |
| <p> |
| interval<br> mapping<br> type |
| </p> |
| </th> |
| </tr></thead> |
| <tbody> |
| <tr> |
| <td> |
| <p> |
| <a href="http://www.cplusplus.com/reference/stl/set/" target="_top"><code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">set</span></code> </a> |
| </p> |
| </td> |
| <td> |
| <p> |
| <span class="emphasis"><em>O(log n)</em></span> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><a class="link" href="../../boost/icl/map.html" title="Class template map">icl::map</a></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| <span class="emphasis"><em>O(log n)</em></span> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| <span class="emphasis"><em>O(log n)</em></span> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><a class="link" href="../../boost/icl/interval_set.html" title="Class template interval_set">interval_sets</a></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| <span class="emphasis"><em>O(log n)</em></span> |
| </p> |
| </td> |
| <td> |
| <p> |
| <span class="emphasis"><em>O(n)</em></span> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><a class="link" href="../../boost/icl/interval_map.html" title="Class template interval_map">interval_maps</a></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| <span class="emphasis"><em>O(log n)</em></span> |
| </p> |
| </td> |
| <td> |
| <p> |
| <span class="emphasis"><em>O(n)</em></span> |
| </p> |
| </td> |
| <td> |
| <p> |
| <span class="emphasis"><em>O(n)</em></span> |
| </p> |
| </td> |
| <td> |
| <p> |
| <span class="emphasis"><em>O(n)</em></span> |
| </p> |
| </td> |
| </tr> |
| </tbody> |
| </table></div> |
| </div> |
| <br class="table-break"> |
| </div> |
| <div class="section" lang="en"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="boost_icl.function_reference.intersection.inplace_operators"></a><a class="link" href="intersection.html#boost_icl.function_reference.intersection.inplace_operators" title="Inplace operators">Inplace |
| operators</a> |
| </h4></div></div></div> |
| <p> |
| The overload tables below are giving admissible type combinations for the |
| intersection <code class="computeroutput"><span class="keyword">operator</span> <span class="special">&=</span></code>. |
| As for the overload patterns of <span class="emphasis"><em>subtraction</em></span> intersections |
| are possible within Sets and Maps but also for Maps combined with <span class="emphasis"><em>key |
| objects</em></span> which are <span class="emphasis"><em>key elements, intervals</em></span> |
| and <span class="emphasis"><em>Sets of keys</em></span>. |
| </p> |
| <p> |
| |
| </p> |
| <pre class="programlisting"><span class="comment">// overload tables for element containers: interval containers: |
| </span><span class="identifier">T</span><span class="special">&</span> <span class="keyword">operator</span> <span class="special">&=</span> <span class="special">(</span><span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span> <span class="special">&=</span> <span class="special">|</span> <span class="identifier">e</span> <span class="identifier">b</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="special">&=</span> <span class="special">|</span> <span class="identifier">e</span> <span class="identifier">i</span> <span class="identifier">b</span> <span class="identifier">p</span> <span class="identifier">S</span> <span class="identifier">M</span> |
| <span class="special">---+--------</span> <span class="special">---+------------</span> |
| <span class="identifier">s</span> <span class="special">|</span> <span class="identifier">s</span> <span class="identifier">s</span> <span class="identifier">S</span> <span class="special">|</span> <span class="identifier">S</span> <span class="identifier">S</span> <span class="identifier">S</span> |
| <span class="identifier">m</span> <span class="special">|</span> <span class="identifier">m</span> <span class="identifier">m</span> <span class="identifier">m</span> <span class="identifier">m</span> <span class="identifier">M</span> <span class="special">|</span> <span class="identifier">M</span> <span class="identifier">M</span> <span class="identifier">M</span> <span class="identifier">M</span> <span class="identifier">M</span> <span class="identifier">M</span> |
| </pre> |
| <p> |
| </p> |
| <p> |
| While intersection on maps can be viewed as a <span class="emphasis"><em><span class="bold"><strong>generalisation |
| of set intersection</strong></span></em></span>. The combination on Maps and |
| Sets can be interpreted as a <span class="emphasis"><em><span class="bold"><strong>generalized |
| selection function</strong></span></em></span>, because it allows to select parts |
| of a maps using <span class="emphasis"><em>key</em></span> or <span class="emphasis"><em>selection objects</em></span>. |
| So we have a <span class="emphasis"><em><span class="bold"><strong>generalized intersection</strong></span></em></span> |
| for these overloads, |
| </p> |
| <p> |
| |
| </p> |
| <pre class="programlisting"><span class="comment">/* (Generalized) intersection */</span> <span class="special">&=</span> <span class="special">|</span> <span class="identifier">e</span> <span class="identifier">b</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="special">&=</span> <span class="special">|</span> <span class="identifier">e</span> <span class="identifier">i</span> <span class="identifier">b</span> <span class="identifier">p</span> <span class="identifier">S</span> <span class="identifier">M</span> |
| <span class="special">---+--------</span> <span class="special">---+------------</span> |
| <span class="identifier">s</span> <span class="special">|</span> <span class="identifier">s</span> <span class="identifier">s</span> <span class="identifier">S</span> <span class="special">|</span> <span class="identifier">S</span> <span class="identifier">S</span> <span class="identifier">S</span> |
| <span class="identifier">m</span> <span class="special">|</span> <span class="identifier">m</span> <span class="identifier">m</span> <span class="identifier">M</span> <span class="special">|</span> <span class="identifier">M</span> <span class="identifier">M</span> <span class="identifier">M</span> |
| </pre> |
| <p> |
| </p> |
| <p> |
| <span class="bold"><strong>and</strong></span> a <span class="emphasis"><em><span class="bold"><strong>selection |
| by key objects</strong></span></em></span> here: |
| </p> |
| <p> |
| |
| </p> |
| <pre class="programlisting"><span class="comment">/* Selection by key objects */</span> <span class="special">&=</span> <span class="special">|</span> <span class="identifier">e</span> <span class="identifier">b</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="special">&=</span> <span class="special">|</span> <span class="identifier">e</span> <span class="identifier">i</span> <span class="identifier">b</span> <span class="identifier">p</span> <span class="identifier">S</span> <span class="identifier">M</span> |
| <span class="special">---+--------</span> <span class="special">---+------------</span> |
| <span class="identifier">s</span> <span class="special">|</span> <span class="identifier">s</span> <span class="identifier">s</span> <span class="identifier">S</span> <span class="special">|</span> <span class="identifier">S</span> <span class="identifier">S</span> <span class="identifier">S</span> |
| <span class="identifier">m</span> <span class="special">|</span> <span class="identifier">m</span> <span class="identifier">m</span> <span class="identifier">M</span> <span class="special">|</span> <span class="identifier">M</span> <span class="identifier">M</span> <span class="identifier">M</span> |
| </pre> |
| <p> |
| </p> |
| <p> |
| The differences for the different functionalities of <code class="computeroutput"><span class="keyword">operator</span> |
| <span class="special">&=</span></code> are on the Map-row of the |
| tables. Both functionalities fall together for Sets in the function <span class="emphasis"><em><span class="bold"><strong>set intersection</strong></span></em></span>. |
| </p> |
| <p> |
| Complexity characteristics for inplace intersection operations are given |
| by the next tables where |
| </p> |
| <pre class="programlisting"><span class="identifier">n</span> <span class="special">=</span> <span class="identifier">iterative_size</span><span class="special">(</span><span class="identifier">y</span><span class="special">);</span> |
| <span class="identifier">m</span> <span class="special">=</span> <span class="identifier">iterative_size</span><span class="special">(</span><span class="identifier">x</span><span class="special">);</span> <span class="comment">//if P is a container type |
| </span></pre> |
| <p> |
| </p> |
| <div class="table"> |
| <a name="id1169950"></a><p class="title"><b>Table 1.35. Time Complexity for inplace intersection on element |
| containers</b></p> |
| <div class="table-contents"><table class="table" summary="Time Complexity for inplace intersection on element |
| containers"> |
| <colgroup> |
| <col> |
| <col> |
| <col> |
| <col> |
| <col> |
| </colgroup> |
| <thead><tr> |
| <th> |
| <p> |
| <code class="computeroutput"><span class="identifier">T</span><span class="special">&</span> |
| <span class="keyword">operator</span> <span class="special">&=</span> |
| <span class="special">(</span><span class="identifier">T</span><span class="special">&</span> <span class="identifier">y</span><span class="special">,</span> <span class="keyword">const</span> |
| <span class="identifier">P</span><span class="special">&</span> |
| <span class="identifier">x</span><span class="special">)</span></code> |
| </p> |
| </th> |
| <th> |
| <p> |
| domain<br> type |
| </p> |
| </th> |
| <th> |
| <p> |
| domain<br> mapping<br> type |
| </p> |
| </th> |
| <th> |
| <p> |
| std::set |
| </p> |
| </th> |
| <th> |
| <p> |
| icl::map |
| </p> |
| </th> |
| </tr></thead> |
| <tbody> |
| <tr> |
| <td> |
| <p> |
| <a href="http://www.cplusplus.com/reference/stl/set/" target="_top"><code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">set</span></code> </a> |
| </p> |
| </td> |
| <td> |
| <p> |
| <span class="emphasis"><em>O(log n)</em></span> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| <span class="emphasis"><em>O(m log n)</em></span> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><a class="link" href="../../boost/icl/map.html" title="Class template map">icl::map</a></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| <span class="emphasis"><em>O(log n)</em></span> |
| </p> |
| </td> |
| <td> |
| <p> |
| <span class="emphasis"><em>O(log n)</em></span> |
| </p> |
| </td> |
| <td> |
| <p> |
| <span class="emphasis"><em>O(m log n)</em></span> |
| </p> |
| </td> |
| <td> |
| <p> |
| <span class="emphasis"><em>O(m log n)</em></span> |
| </p> |
| </td> |
| </tr> |
| </tbody> |
| </table></div> |
| </div> |
| <br class="table-break"><div class="table"> |
| <a name="id1170191"></a><p class="title"><b>Table 1.36. Time Complexity for inplace intersection |
| on interval containers</b></p> |
| <div class="table-contents"><table class="table" summary="Time Complexity for inplace intersection |
| on interval containers"> |
| <colgroup> |
| <col> |
| <col> |
| <col> |
| <col> |
| <col> |
| <col> |
| <col> |
| </colgroup> |
| <thead><tr> |
| <th> |
| <p> |
| <code class="computeroutput"><span class="identifier">T</span><span class="special">&</span> |
| <span class="keyword">operator</span> <span class="special">&=</span> |
| <span class="special">(</span><span class="identifier">T</span><span class="special">&</span> <span class="identifier">y</span><span class="special">,</span> <span class="keyword">const</span> |
| <span class="identifier">P</span><span class="special">&</span> |
| <span class="identifier">x</span><span class="special">)</span></code> |
| </p> |
| </th> |
| <th> |
| <p> |
| domain<br> type |
| </p> |
| </th> |
| <th> |
| <p> |
| interval<br> type |
| </p> |
| </th> |
| <th> |
| <p> |
| domain<br> mapping<br> type |
| </p> |
| </th> |
| <th> |
| <p> |
| interval<br> mapping<br> type |
| </p> |
| </th> |
| <th> |
| <p> |
| interval<br> sets |
| </p> |
| </th> |
| <th> |
| <p> |
| interval<br> maps |
| </p> |
| </th> |
| </tr></thead> |
| <tbody> |
| <tr> |
| <td> |
| <p> |
| interval_sets |
| </p> |
| </td> |
| <td> |
| <p> |
| <span class="emphasis"><em>O(log n)</em></span> |
| </p> |
| </td> |
| <td> |
| <p> |
| <span class="emphasis"><em>O(n)</em></span> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| <span class="emphasis"><em>O(m log(n+m))</em></span> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| interval_maps |
| </p> |
| </td> |
| <td> |
| <p> |
| <span class="emphasis"><em>O(log n)</em></span> |
| </p> |
| </td> |
| <td> |
| <p> |
| <span class="emphasis"><em>O(n)</em></span> |
| </p> |
| </td> |
| <td> |
| <p> |
| <span class="emphasis"><em>O(log n)</em></span> |
| </p> |
| </td> |
| <td> |
| <p> |
| <span class="emphasis"><em>O(n)</em></span> |
| </p> |
| </td> |
| <td> |
| <p> |
| <span class="emphasis"><em>O(m log(n+m))</em></span> |
| </p> |
| </td> |
| <td> |
| <p> |
| <span class="emphasis"><em>O(m log(n+m))</em></span> |
| </p> |
| </td> |
| </tr> |
| </tbody> |
| </table></div> |
| </div> |
| <br class="table-break"> |
| </div> |
| <div class="section" lang="en"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="boost_icl.function_reference.intersection.infix_operators"></a><a class="link" href="intersection.html#boost_icl.function_reference.intersection.infix_operators" title="Infix operators">Infix |
| operators</a> |
| </h4></div></div></div> |
| <p> |
| For the <span class="bold"><strong>icl's</strong></span> infix intersection the following |
| overloads are available: |
| </p> |
| <p> |
| |
| </p> |
| <pre class="programlisting"><span class="comment">// overload tables for element containers: interval containers: |
| </span><span class="identifier">T</span> <span class="keyword">operator</span> <span class="special">&</span> <span class="special">(</span><span class="identifier">T</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span> <span class="special">&</span> <span class="special">|</span> <span class="identifier">e</span> <span class="identifier">b</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="special">&</span> <span class="special">|</span> <span class="identifier">e</span> <span class="identifier">i</span> <span class="identifier">b</span> <span class="identifier">p</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span> |
| <span class="identifier">T</span> <span class="keyword">operator</span> <span class="special">&</span> <span class="special">(</span><span class="keyword">const</span> <span class="identifier">P</span><span class="special">&,</span> <span class="identifier">T</span><span class="special">)</span> <span class="special">---+--------</span> <span class="special">---+---------------------------</span> |
| <span class="identifier">e</span> <span class="special">|</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="identifier">e</span> <span class="special">|</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span> |
| <span class="identifier">b</span> <span class="special">|</span> <span class="identifier">m</span> <span class="identifier">i</span> <span class="special">|</span> <span class="identifier">i</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span> |
| <span class="identifier">s</span> <span class="special">|</span> <span class="identifier">s</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="identifier">b</span> <span class="special">|</span> <span class="identifier">M1</span> <span class="identifier">M3</span> |
| <span class="identifier">m</span> <span class="special">|</span> <span class="identifier">m</span> <span class="identifier">m</span> <span class="identifier">m</span> <span class="identifier">m</span> <span class="identifier">p</span> <span class="special">|</span> <span class="identifier">M1</span> <span class="identifier">M3</span> |
| <span class="identifier">S1</span> <span class="special">|</span> <span class="identifier">S1</span> <span class="identifier">S1</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span> |
| <span class="identifier">S2</span> <span class="special">|</span> <span class="identifier">S2</span> <span class="identifier">S2</span> <span class="identifier">S2</span> <span class="identifier">S2</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span> |
| <span class="identifier">S3</span> <span class="special">|</span> <span class="identifier">S3</span> <span class="identifier">S3</span> <span class="identifier">S3</span> <span class="identifier">S3</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span> |
| <span class="identifier">M1</span> <span class="special">|</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M3</span> |
| <span class="identifier">M3</span> <span class="special">|</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> |
| </pre> |
| <p> |
| </p> |
| <p> |
| To resolve ambiguities among interval containers the <span class="emphasis"><em><span class="bold"><strong>finer</strong></span></em></span> container type is chosen as result |
| type. |
| </p> |
| <p> |
| Again, we can split up the overload tables of <code class="computeroutput"><span class="keyword">operator</span> |
| <span class="special">&</span></code> in a part describing the |
| <span class="emphasis"><em>*generalized intersection</em></span> on interval containers and |
| a second part defining the <span class="emphasis"><em>*selection by key object</em></span> |
| functionality. |
| </p> |
| <p> |
| |
| </p> |
| <pre class="programlisting"><span class="comment">/* (Generalized) intersection */</span> <span class="special">&</span> <span class="special">|</span> <span class="identifier">e</span> <span class="identifier">b</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="special">&</span> <span class="special">|</span> <span class="identifier">e</span> <span class="identifier">i</span> <span class="identifier">b</span> <span class="identifier">p</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span> |
| <span class="special">---+--------</span> <span class="special">---+---------------------------</span> |
| <span class="identifier">e</span> <span class="special">|</span> <span class="identifier">s</span> <span class="identifier">e</span> <span class="special">|</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> |
| <span class="identifier">b</span> <span class="special">|</span> <span class="identifier">m</span> <span class="identifier">i</span> <span class="special">|</span> <span class="identifier">i</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> |
| <span class="identifier">s</span> <span class="special">|</span> <span class="identifier">s</span> <span class="identifier">s</span> <span class="identifier">b</span> <span class="special">|</span> <span class="identifier">M1</span> <span class="identifier">M3</span> |
| <span class="identifier">m</span> <span class="special">|</span> <span class="identifier">m</span> <span class="identifier">m</span> <span class="identifier">p</span> <span class="special">|</span> <span class="identifier">M1</span> <span class="identifier">M3</span> |
| <span class="identifier">S1</span> <span class="special">|</span> <span class="identifier">S1</span> <span class="identifier">S1</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> |
| <span class="identifier">S2</span> <span class="special">|</span> <span class="identifier">S2</span> <span class="identifier">S2</span> <span class="identifier">S2</span> <span class="identifier">S2</span> <span class="identifier">S3</span> |
| <span class="identifier">S3</span> <span class="special">|</span> <span class="identifier">S3</span> <span class="identifier">S3</span> <span class="identifier">S3</span> <span class="identifier">S3</span> <span class="identifier">S3</span> |
| <span class="identifier">M1</span> <span class="special">|</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M3</span> |
| <span class="identifier">M3</span> <span class="special">|</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> |
| </pre> |
| <p> |
| </p> |
| <p> |
| |
| </p> |
| <pre class="programlisting"><span class="comment">/* Selection by key objects */</span> <span class="special">&</span> <span class="special">|</span> <span class="identifier">e</span> <span class="identifier">b</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="special">&</span> <span class="special">|</span> <span class="identifier">e</span> <span class="identifier">i</span> <span class="identifier">b</span> <span class="identifier">p</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span> |
| <span class="special">---+--------</span> <span class="special">---+---------------------------</span> |
| <span class="identifier">e</span> <span class="special">|</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="identifier">e</span> <span class="special">|</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span> |
| <span class="identifier">b</span> <span class="special">|</span> <span class="identifier">i</span> <span class="special">|</span> <span class="identifier">i</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span> |
| <span class="identifier">s</span> <span class="special">|</span> <span class="identifier">s</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="identifier">b</span> <span class="special">|</span> |
| <span class="identifier">m</span> <span class="special">|</span> <span class="identifier">m</span> <span class="identifier">m</span> <span class="identifier">p</span> <span class="special">|</span> |
| <span class="identifier">S1</span> <span class="special">|</span> <span class="identifier">S1</span> <span class="identifier">S1</span> <span class="identifier">S1</span> <span class="identifier">S2</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span> |
| <span class="identifier">S2</span> <span class="special">|</span> <span class="identifier">S2</span> <span class="identifier">S2</span> <span class="identifier">S2</span> <span class="identifier">S2</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span> |
| <span class="identifier">S3</span> <span class="special">|</span> <span class="identifier">S3</span> <span class="identifier">S3</span> <span class="identifier">S3</span> <span class="identifier">S3</span> <span class="identifier">S3</span> <span class="identifier">M1</span> <span class="identifier">M3</span> |
| <span class="identifier">M1</span> <span class="special">|</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M1</span> <span class="identifier">M1</span> |
| <span class="identifier">M3</span> <span class="special">|</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> <span class="identifier">M3</span> |
| </pre> |
| <p> |
| </p> |
| </div> |
| <div class="section" lang="en"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="boost_icl.function_reference.intersection.intersection_tester"></a><a class="link" href="intersection.html#boost_icl.function_reference.intersection.intersection_tester" title="Intersection tester">Intersection |
| tester</a> |
| </h4></div></div></div> |
| <div class="informaltable"><table class="table"> |
| <colgroup> |
| <col> |
| <col> |
| </colgroup> |
| <thead><tr> |
| <th> |
| <p> |
| Tester |
| </p> |
| </th> |
| <th> |
| <p> |
| Desctription |
| </p> |
| </th> |
| </tr></thead> |
| <tbody> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">intersects</span><span class="special">(</span><span class="keyword">const</span> |
| <span class="identifier">T</span><span class="special">&</span> |
| <span class="identifier">left</span><span class="special">,</span> |
| <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&</span> <span class="identifier">right</span><span class="special">)</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| Tests, if <code class="computeroutput"><span class="identifier">left</span></code> |
| and <code class="computeroutput"><span class="identifier">right</span></code> intersect. |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="keyword">bool</span> <span class="identifier">disjoint</span><span class="special">(</span><span class="keyword">const</span> |
| <span class="identifier">T</span><span class="special">&</span> |
| <span class="identifier">left</span><span class="special">,</span> |
| <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&</span> <span class="identifier">right</span><span class="special">)</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| Tests, if <code class="computeroutput"><span class="identifier">left</span></code> |
| and <code class="computeroutput"><span class="identifier">right</span></code> are disjoint. |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">intersects</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span><span class="identifier">y</span><span class="special">)</span> |
| <span class="special">==</span> <span class="special">!</span><span class="identifier">disjoint</span><span class="special">(</span><span class="identifier">x</span><span class="special">,</span><span class="identifier">y</span><span class="special">)</span></code> |
| </p> |
| </td> |
| </tr> |
| </tbody> |
| </table></div> |
| <p> |
| |
| </p> |
| <pre class="programlisting"><span class="keyword">bool</span> <span class="identifier">intersects</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span> <span class="identifier">T</span><span class="special">\</span><span class="identifier">P</span><span class="special">|</span> <span class="identifier">e</span> <span class="identifier">b</span> <span class="identifier">s</span> <span class="identifier">m</span> <span class="identifier">T</span><span class="special">\</span><span class="identifier">P</span><span class="special">|</span> <span class="identifier">e</span> <span class="identifier">i</span> <span class="identifier">b</span> <span class="identifier">p</span> <span class="identifier">S</span> <span class="identifier">M</span> |
| <span class="keyword">bool</span> <span class="identifier">disjoint</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> <span class="identifier">P</span><span class="special">&)</span> <span class="special">---+--------</span> <span class="special">---+------------</span> |
| <span class="identifier">s</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="identifier">S</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> |
| <span class="identifier">m</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> <span class="identifier">M</span> <span class="special">|</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> <span class="number">1</span> |
| </pre> |
| <p> |
| </p> |
| </div> |
| <p> |
| <span class="emphasis"><em><span class="bold"><strong>See also . . .</strong></span></em></span> |
| </p> |
| <div class="informaltable"><table class="table"> |
| <colgroup><col></colgroup> |
| <thead><tr></tr></thead> |
| <tbody> |
| <tr><td> |
| <p> |
| <a class="link" href="symmetric_difference.html" title="Symmetric Difference"><span class="emphasis"><em><span class="bold"><strong>Symmetric difference</strong></span></em></span></a> |
| </p> |
| </td></tr> |
| <tr><td> |
| <p> |
| <a class="link" href="subtraction.html" title="Subtraction"><span class="emphasis"><em><span class="bold"><strong>Subtraction</strong></span></em></span></a> |
| </p> |
| </td></tr> |
| <tr><td> |
| <p> |
| <a class="link" href="addition.html" title="Addition"><span class="emphasis"><em><span class="bold"><strong>Addition</strong></span></em></span></a> |
| </p> |
| </td></tr> |
| </tbody> |
| </table></div> |
| <p> |
| <span class="emphasis"><em><span class="bold"><strong>Back to section . . .</strong></span></em></span> |
| </p> |
| <div class="informaltable"><table class="table"> |
| <colgroup><col></colgroup> |
| <thead><tr></tr></thead> |
| <tbody> |
| <tr><td> |
| <p> |
| <a class="link" href="../interface/function_synopsis.html#function_synopsis_table"><span class="emphasis"><em><span class="bold"><strong>Function |
| Synopsis</strong></span></em></span></a> |
| </p> |
| </td></tr> |
| <tr><td> |
| <p> |
| <a class="link" href="../interface.html" title="Interface"><span class="emphasis"><em><span class="bold"><strong>Interface</strong></span></em></span></a> |
| </p> |
| </td></tr> |
| </tbody> |
| </table></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 © 2007 -2010 Joachim Faulhaber<br>Copyright © 1999 -2006 Cortex Software GmbH<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> |
| <hr> |
| <div class="spirit-nav"> |
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