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| <div class="section" lang="en"> |
| <div class="titlepage"><div><div><h3 class="title"> |
| <a name="boost_icl.function_reference.subtraction"></a><a class="link" href="subtraction.html" title="Subtraction">Subtraction</a> |
| </h3></div></div></div> |
| <div class="toc"><dl> |
| <dt><span class="section"><a href="subtraction.html#boost_icl.function_reference.subtraction.synopsis">Synopsis</a></span></dt> |
| <dt><span class="section"><a href="subtraction.html#boost_icl.function_reference.subtraction.functions">Functions</a></span></dt> |
| <dt><span class="section"><a href="subtraction.html#boost_icl.function_reference.subtraction.inplace_operators">Inplace |
| operators</a></span></dt> |
| <dt><span class="section"><a href="subtraction.html#boost_icl.function_reference.subtraction.infix_operators">Infix |
| operators</a></span></dt> |
| <dt><span class="section"><a href="subtraction.html#boost_icl.function_reference.subtraction.subtraction_on_intervals">Subtraction |
| on Intervals</a></span></dt> |
| </dl></div> |
| <div class="section" lang="en"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="boost_icl.function_reference.subtraction.synopsis"></a><a class="link" href="subtraction.html#boost_icl.function_reference.subtraction.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> |
| Subtraction |
| </p> |
| </th> |
| <th> |
| <p> |
| intervals |
| </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="identifier">T</span><span class="special">&</span> |
| <span class="identifier">T</span><span class="special">::</span><span class="identifier">subtract</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> |
| </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#interval_mapping_type"><span class="bold"><strong>p</strong></span></a> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">T</span><span class="special">&</span> |
| <span class="identifier">subtract</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> |
| </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#interval_mapping_type"><span class="bold"><strong>p</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> |
| </p> |
| </td> |
| <td> |
| <p> |
| <a class="link" href="../interface/function_synopsis.html#element_mapping_type"><span class="bold"><strong>b</strong></span></a> |
| </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> |
| </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="identifier">left_subtract</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></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| 1 |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">T</span> <span class="identifier">right_subtract</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></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| 1 |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </td> |
| <td> |
| <p> |
| </p> |
| </td> |
| </tr> |
| </tbody> |
| </table></div> |
| <p> |
| Functions and operators that implement <span class="emphasis"><em><span class="bold"><strong>Subtraction</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 Subtraction |
| </p> |
| </th> |
| </tr></thead> |
| <tbody> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">Sets</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| Subtraction on Sets implements <span class="emphasis"><em><span class="bold"><strong>set |
| difference</strong></span></em></span> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">Maps</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| Subtraction on Maps implements a <span class="emphasis"><em><span class="bold"><strong>map |
| difference</strong></span></em></span> function similar to <span class="emphasis"><em>set |
| difference</em></span>. If, on subtraction of 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 subtraction function is propagated to |
| the associated value. On the associated value an aggregation is |
| performed, that reverses the effect of the corresponding addition |
| function. |
| </p> |
| <p> |
| Find more on <a class="link" href="../concepts/aggrovering.html" title="Addability, Subtractability and Aggregate on Overlap"><span class="emphasis"><em>subtractability |
| of maps</em></span></a> and related <a class="link" href="../semantics/maps.html" title="Maps"><span class="emphasis"><em>semantic |
| issues</em></span></a> following the links. |
| </p> |
| <p> |
| </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.subtraction.functions"></a><a class="link" href="subtraction.html#boost_icl.function_reference.subtraction.functions" title="Functions">Functions</a> |
| </h4></div></div></div> |
| <p> |
| The admissible combinations of types for subtraction functions can be summarized |
| in the <span class="emphasis"><em><span class="bold"><strong>overload table</strong></span></em></span> |
| below: |
| </p> |
| <p> |
| |
| </p> |
| <pre class="programlisting"><span class="comment">// overload table for T\P| e i b p |
| </span><span class="identifier">T</span><span class="special">&</span> <span class="identifier">T</span><span class="special">::</span><span class="identifier">subtract</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="identifier">T</span><span class="special">&</span> <span class="identifier">subtract</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="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">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> |
| </pre> |
| <p> |
| </p> |
| <p> |
| The next table contains complexity characteristics for <code class="computeroutput"><span class="identifier">subtract</span></code>. |
| </p> |
| <div class="table"> |
| <a name="id1154187"></a><p class="title"><b>Table 1.24. Time Complexity for function subtract on icl containers</b></p> |
| <div class="table-contents"><table class="table" summary="Time Complexity for function subtract on icl 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="identifier">T</span><span class="special">::</span><span class="identifier">subtract</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="special">&</span> <span class="identifier">subtract</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> |
| </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>amortized<br> O(log 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(log 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.subtraction.inplace_operators"></a><a class="link" href="subtraction.html#boost_icl.function_reference.subtraction.inplace_operators" title="Inplace operators">Inplace |
| operators</a> |
| </h4></div></div></div> |
| <p> |
| As presented in the overload tables for <code class="computeroutput"><span class="keyword">operator</span> |
| <span class="special">-=</span></code> more type combinations are provided |
| for subtraction than for addition. |
| </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> |
| Subtraction provides the <span class="emphasis"><em>reverse</em></span> operation of an addition |
| for these overloads, |
| </p> |
| <p> |
| |
| </p> |
| <pre class="programlisting"><span class="comment">// Reverse addition -= | e b s m -= | e i b p S 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> you can erase parts of <code class="computeroutput"><a class="link" href="../../boost/icl/map.html" title="Class template map">icl::maps</a></code> or <code class="computeroutput"><a class="link" href="../../boost/icl/interval_map.html" title="Class template interval_map">interval_maps</a></code> |
| using <span class="emphasis"><em>key values</em></span>, <span class="emphasis"><em>intervals</em></span> or |
| <span class="emphasis"><em>element or interval sets</em></span> using these overloads: |
| </p> |
| <p> |
| |
| </p> |
| <pre class="programlisting"><span class="comment">// Erasure by key objects -= | e b s m -= | e i b p S 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> |
| On Sets both function groups fall together as <span class="emphasis"><em><span class="bold"><strong>set |
| difference</strong></span></em></span>. |
| </p> |
| <p> |
| Complexity characteristics for inplace subtraction 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="id1155150"></a><p class="title"><b>Table 1.25. Time Complexity for inplace Subtraction on element |
| containers</b></p> |
| <div class="table-contents"><table class="table" summary="Time Complexity for inplace Subtraction 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="keyword">const</span> |
| <span class="identifier">P</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="id1155375"></a><p class="title"><b>Table 1.26. Time Complexity for inplace Subtraction |
| on interval containers</b></p> |
| <div class="table-contents"><table class="table" summary="Time Complexity for inplace Subtraction |
| 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="keyword">const</span> |
| <span class="identifier">P</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>amortized<br> O(log 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>amortized<br> 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(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.subtraction.infix_operators"></a><a class="link" href="subtraction.html#boost_icl.function_reference.subtraction.infix_operators" title="Infix operators">Infix |
| operators</a> |
| </h4></div></div></div> |
| <p> |
| The admissible overloads for the infix <span class="emphasis"><em>subtraction</em></span> |
| <code class="computeroutput"><span class="keyword">operator</span> <span class="special">-</span></code> |
| which is a non commutative operation is given by the next overload table. |
| </p> |
| <p> |
| |
| </p> |
| <pre class="programlisting"><span class="comment">// overload tables for - | e b s m - | e i b p S M |
| </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">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> |
| </div> |
| <div class="section" lang="en"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="boost_icl.function_reference.subtraction.subtraction_on_intervals"></a><a class="link" href="subtraction.html#boost_icl.function_reference.subtraction.subtraction_on_intervals" title="Subtraction on Intervals">Subtraction |
| on Intervals</a> |
| </h4></div></div></div> |
| <div class="informaltable"><table class="table"> |
| <colgroup> |
| <col> |
| <col> |
| <col> |
| </colgroup> |
| <thead><tr> |
| <th> |
| <p> |
| <span class="emphasis"><em><span class="bold"><strong>Subtraction</strong></span></em></span> |
| </p> |
| </th> |
| <th> |
| <p> |
| Types |
| </p> |
| </th> |
| <th> |
| <p> |
| Description |
| </p> |
| </th> |
| </tr></thead> |
| <tbody> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">T</span> <span class="identifier">left_subtract</span><span class="special">(</span><span class="identifier">T</span> |
| <span class="identifier">right</span><span class="special">,</span> |
| <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&</span> <span class="identifier">left_minuend</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> |
| subtract <code class="computeroutput"><span class="identifier">left_minuend</span></code> |
| from the interval <code class="computeroutput"><span class="identifier">right</span></code> |
| on it's left side. |
| </p> |
| <pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="identifier">right_over</span> <span class="special">=</span> <span class="identifier">left_subtract</span><span class="special">(</span><span class="identifier">right</span><span class="special">,</span> <span class="identifier">left_minuend</span><span class="special">);</span> |
| <span class="special">...</span> <span class="identifier">d</span><span class="special">)</span> <span class="special">:</span> <span class="identifier">right</span> |
| <span class="special">...</span> <span class="identifier">c</span><span class="special">)</span> <span class="special">:</span> <span class="identifier">left_minuend</span> |
| <span class="special">[</span><span class="identifier">c</span> <span class="identifier">d</span><span class="special">)</span> <span class="special">:</span> <span class="identifier">right_over</span> |
| </pre> |
| <p> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">T</span> <span class="identifier">right_subtract</span><span class="special">(</span><span class="identifier">T</span> |
| <span class="identifier">left</span><span class="special">,</span> |
| <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&</span> <span class="identifier">right_minuend</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> |
| subtract <code class="computeroutput"><span class="identifier">right_minuend</span></code> |
| from the interval <code class="computeroutput"><span class="identifier">left</span></code> |
| on it's right side. |
| </p> |
| <pre xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="table-programlisting"><span class="identifier">left_over</span> <span class="special">=</span> <span class="identifier">right_subtract</span><span class="special">(</span><span class="identifier">left</span><span class="special">,</span> <span class="identifier">right_minuend</span><span class="special">);</span> |
| <span class="special">[</span><span class="identifier">a</span> <span class="special">...</span> <span class="special">:</span> <span class="identifier">left</span> |
| <span class="special">[</span><span class="identifier">b</span> <span class="special">...</span> <span class="special">:</span> <span class="identifier">right_minuend</span> |
| <span class="special">[</span><span class="identifier">a</span> <span class="identifier">b</span><span class="special">)</span> <span class="special">:</span> <span class="identifier">left_over</span> |
| </pre> |
| <p> |
| </p> |
| </td> |
| </tr> |
| </tbody> |
| </table></div> |
| </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="addition.html" title="Addition"><span class="emphasis"><em><span class="bold"><strong>Addition</strong></span></em></span></a> |
| </p> |
| </td></tr> |
| <tr><td> |
| <p> |
| <a class="link" href="erasure.html" title="Erasure"><span class="emphasis"><em><span class="bold"><strong>Erasure</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"> |
| <a accesskey="p" href="addition.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../function_reference.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="insertion.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a> |
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