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Functions</h2></td></tr>
<tr class="memitem:ga8272a9835bf987be37a4203e336fffe4"><td class="memTemplParams" colspan="2">template&lt;typename _ForwardIterator , typename _Tp &gt; </td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<p>These algorithms are variations of a classic binary search, and all assume that the sequence being searched is already sorted.</p>
<p>The number of comparisons will be logarithmic (and as few as possible). The number of steps through the sequence will be logarithmic for random-access iterators (e.g., pointers), and linear otherwise.</p>
<p>The LWG has passed Defect Report 270, which notes: <em>The proposed resolution reinterprets binary search. Instead of thinking about searching for a value in a sorted range, we view that as an important special case of a more general algorithm: searching for the partition point in a partitioned range. We also add a guarantee that the old wording did not: we ensure that the upper bound is no earlier than the lower bound, that the pair returned by equal_range is a valid range, and that the first part of that pair is the lower bound.</em></p>
<p>The actual effect of the first sentence is that a comparison functor passed by the user doesn't necessarily need to induce a strict weak ordering relation. Rather, it partitions the range. </p>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="ga8272a9835bf987be37a4203e336fffe4"></a>
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template&lt;typename _ForwardIterator , typename _Tp &gt; </div>
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        <tr>
          <td class="memname">bool std::binary_search </td>
          <td>(</td>
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          <td class="paramname"><em>__first</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
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<p>Determines whether an element exists in a range. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">__first</td><td>An iterator. </td></tr>
    <tr><td class="paramname">__last</td><td>Another iterator. </td></tr>
    <tr><td class="paramname">__val</td><td>The search term. </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>True if <code>__val</code> (or its equivalent) is in [<code>__first</code>,<code>__last</code> ].</dd></dl>
<p>Note that this does not actually return an iterator to <code>__val</code>. For that, use std::find or a container's specialized find member functions. </p>

<p>Definition at line <a class="el" href="a01546_source.html#l02697">2697</a> of file <a class="el" href="a01546_source.html">stl_algo.h</a>.</p>

<p>References <a class="el" href="a01547_source.html#l00943">std::lower_bound()</a>.</p>

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template&lt;typename _ForwardIterator , typename _Tp , typename _Compare &gt; </div>
      <table class="memname">
        <tr>
          <td class="memname">bool std::binary_search </td>
          <td>(</td>
          <td class="paramtype">_ForwardIterator&#160;</td>
          <td class="paramname"><em>__first</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">_ForwardIterator&#160;</td>
          <td class="paramname"><em>__last</em>, </td>
        </tr>
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          <td class="paramkey"></td>
          <td></td>
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          <td class="paramname"><em>__val</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">_Compare&#160;</td>
          <td class="paramname"><em>__comp</em>&#160;</td>
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          <td>)</td>
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<p>Determines whether an element exists in a range. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">__first</td><td>An iterator. </td></tr>
    <tr><td class="paramname">__last</td><td>Another iterator. </td></tr>
    <tr><td class="paramname">__val</td><td>The search term. </td></tr>
    <tr><td class="paramname">__comp</td><td>A functor to use for comparisons. </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>True if <code>__val</code> (or its equivalent) is in <code></code>[__first,__last].</dd></dl>
<p>Note that this does not actually return an iterator to <code>__val</code>. For that, use std::find or a container's specialized find member functions.</p>
<p>The comparison function should have the same effects on ordering as the function used for the initial sort. </p>

<p>Definition at line <a class="el" href="a01546_source.html#l02730">2730</a> of file <a class="el" href="a01546_source.html">stl_algo.h</a>.</p>

<p>References <a class="el" href="a01547_source.html#l00943">std::lower_bound()</a>.</p>

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<a class="anchor" id="ga67b70af6f618f2c566d2f1849735fb6e"></a>
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template&lt;typename _ForwardIterator , typename _Tp &gt; </div>
      <table class="memname">
        <tr>
          <td class="memname">pair&lt;_ForwardIterator, _ForwardIterator&gt; std::equal_range </td>
          <td>(</td>
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          <td class="paramname"><em>__first</em>, </td>
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        <tr>
          <td class="paramkey"></td>
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          <td class="paramname"><em>__last</em>, </td>
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<p>Finds the largest subrange in which <code>__val</code> could be inserted at any place in it without changing the ordering. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">__first</td><td>An iterator. </td></tr>
    <tr><td class="paramname">__last</td><td>Another iterator. </td></tr>
    <tr><td class="paramname">__val</td><td>The search term. </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>An pair of iterators defining the subrange.</dd></dl>
<p>This is equivalent to </p>
<div class="fragment"><div class="line">*    <a class="code" href="a01701.html#ga0409e288f07b697cb6885d1002df0bd6">std::make_pair</a>(lower_bound(__first, __last, __val),</div>
<div class="line">*                   upper_bound(__first, __last, __val))</div>
<div class="line">*  </div>
</div><!-- fragment --><p> but does not actually call those functions. </p>

<p>Definition at line <a class="el" href="a01546_source.html#l02574">2574</a> of file <a class="el" href="a01546_source.html">stl_algo.h</a>.</p>

<p>References <a class="el" href="a01554_source.html#l00173">std::advance()</a>, <a class="el" href="a01554_source.html#l00114">std::distance()</a>, <a class="el" href="a01547_source.html#l00943">std::lower_bound()</a>, and <a class="el" href="a01546_source.html#l02521">std::upper_bound()</a>.</p>

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template&lt;typename _ForwardIterator , typename _Tp , typename _Compare &gt; </div>
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          <td class="memname">pair&lt;_ForwardIterator, _ForwardIterator&gt; std::equal_range </td>
          <td>(</td>
          <td class="paramtype">_ForwardIterator&#160;</td>
          <td class="paramname"><em>__first</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
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          <td class="paramname"><em>__last</em>, </td>
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          <td class="paramkey"></td>
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          <td class="paramname"><em>__comp</em>&#160;</td>
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<p>Finds the largest subrange in which <code>__val</code> could be inserted at any place in it without changing the ordering. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">__first</td><td>An iterator. </td></tr>
    <tr><td class="paramname">__last</td><td>Another iterator. </td></tr>
    <tr><td class="paramname">__val</td><td>The search term. </td></tr>
    <tr><td class="paramname">__comp</td><td>A functor to use for comparisons. </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>An pair of iterators defining the subrange.</dd></dl>
<p>This is equivalent to </p>
<div class="fragment"><div class="line">*    <a class="code" href="a01701.html#ga0409e288f07b697cb6885d1002df0bd6">std::make_pair</a>(lower_bound(__first, __last, __val, __comp),</div>
<div class="line">*                   upper_bound(__first, __last, __val, __comp))</div>
<div class="line">*  </div>
</div><!-- fragment --><p> but does not actually call those functions. </p>

<p>Definition at line <a class="el" href="a01546_source.html#l02636">2636</a> of file <a class="el" href="a01546_source.html">stl_algo.h</a>.</p>

<p>References <a class="el" href="a01554_source.html#l00173">std::advance()</a>, <a class="el" href="a01554_source.html#l00114">std::distance()</a>, <a class="el" href="a01547_source.html#l00943">std::lower_bound()</a>, and <a class="el" href="a01546_source.html#l02521">std::upper_bound()</a>.</p>

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<a class="anchor" id="ga6f1d41eed9a1fabbae1d54b384b07061"></a>
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template&lt;typename _ForwardIterator , typename _Tp &gt; </div>
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          <td class="memname">_ForwardIterator std::lower_bound </td>
          <td>(</td>
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          <td class="paramname"><em>__first</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
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          <td class="paramname"><em>__last</em>, </td>
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<p>Finds the first position in which <em>val</em> could be inserted without changing the ordering. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">__first</td><td>An iterator. </td></tr>
    <tr><td class="paramname">__last</td><td>Another iterator. </td></tr>
    <tr><td class="paramname">__val</td><td>The search term. </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>An iterator pointing to the first element <em>not less than</em> <em>val</em>, or end() if every element is less than <em>val</em>. </dd></dl>

<p>Definition at line <a class="el" href="a01547_source.html#l00943">943</a> of file <a class="el" href="a01547_source.html">stl_algobase.h</a>.</p>

<p>References <a class="el" href="a01554_source.html#l00173">std::advance()</a>, and <a class="el" href="a01554_source.html#l00114">std::distance()</a>.</p>

<p>Referenced by <a class="el" href="a01546_source.html#l02934">std::__merge_adaptive()</a>, <a class="el" href="a01546_source.html#l03047">std::__merge_without_buffer()</a>, <a class="el" href="a01546_source.html#l02697">std::binary_search()</a>, and <a class="el" href="a01546_source.html#l02574">std::equal_range()</a>.</p>

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      <table class="memname">
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          <td class="memname">_ForwardIterator std::lower_bound </td>
          <td>(</td>
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          <td class="paramname"><em>__first</em>, </td>
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        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">_ForwardIterator&#160;</td>
          <td class="paramname"><em>__last</em>, </td>
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<p>Finds the first position in which <code>__val</code> could be inserted without changing the ordering. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">__first</td><td>An iterator. </td></tr>
    <tr><td class="paramname">__last</td><td>Another iterator. </td></tr>
    <tr><td class="paramname">__val</td><td>The search term. </td></tr>
    <tr><td class="paramname">__comp</td><td>A functor to use for comparisons. </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>An iterator pointing to the first element <em>not less than</em> <code>__val</code>, or end() if every element is less than <code>__val</code>.</dd></dl>
<p>The comparison function should have the same effects on ordering as the function used for the initial sort. </p>

<p>Definition at line <a class="el" href="a01546_source.html#l02425">2425</a> of file <a class="el" href="a01546_source.html">stl_algo.h</a>.</p>

<p>References <a class="el" href="a01554_source.html#l00173">std::advance()</a>, and <a class="el" href="a01554_source.html#l00114">std::distance()</a>.</p>

</div>
</div>
<a class="anchor" id="ga0a8fc99be7f8267b6eb97ff9c712c75f"></a>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;typename _ForwardIterator , typename _Tp &gt; </div>
      <table class="memname">
        <tr>
          <td class="memname">_ForwardIterator std::upper_bound </td>
          <td>(</td>
          <td class="paramtype">_ForwardIterator&#160;</td>
          <td class="paramname"><em>__first</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">_ForwardIterator&#160;</td>
          <td class="paramname"><em>__last</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const _Tp &amp;&#160;</td>
          <td class="paramname"><em>__val</em>&#160;</td>
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        <tr>
          <td></td>
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        </tr>
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</div><div class="memdoc">

<p>Finds the last position in which <code>__val</code> could be inserted without changing the ordering. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">__first</td><td>An iterator. </td></tr>
    <tr><td class="paramname">__last</td><td>Another iterator. </td></tr>
    <tr><td class="paramname">__val</td><td>The search term. </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>An iterator pointing to the first element greater than <code>__val</code>, or end() if no elements are greater than <code>__val</code>. </dd></dl>

<p>Definition at line <a class="el" href="a01546_source.html#l02472">2472</a> of file <a class="el" href="a01546_source.html">stl_algo.h</a>.</p>

<p>References <a class="el" href="a01554_source.html#l00173">std::advance()</a>, and <a class="el" href="a01554_source.html#l00114">std::distance()</a>.</p>

</div>
</div>
<a class="anchor" id="ga639d56cfebd6f1fbabf344c49a5c5539"></a>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;typename _ForwardIterator , typename _Tp , typename _Compare &gt; </div>
      <table class="memname">
        <tr>
          <td class="memname">_ForwardIterator std::upper_bound </td>
          <td>(</td>
          <td class="paramtype">_ForwardIterator&#160;</td>
          <td class="paramname"><em>__first</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">_ForwardIterator&#160;</td>
          <td class="paramname"><em>__last</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const _Tp &amp;&#160;</td>
          <td class="paramname"><em>__val</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">_Compare&#160;</td>
          <td class="paramname"><em>__comp</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">

<p>Finds the last position in which <code>__val</code> could be inserted without changing the ordering. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">__first</td><td>An iterator. </td></tr>
    <tr><td class="paramname">__last</td><td>Another iterator. </td></tr>
    <tr><td class="paramname">__val</td><td>The search term. </td></tr>
    <tr><td class="paramname">__comp</td><td>A functor to use for comparisons. </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>An iterator pointing to the first element greater than <code>__val</code>, or end() if no elements are greater than <code>__val</code>.</dd></dl>
<p>The comparison function should have the same effects on ordering as the function used for the initial sort. </p>

<p>Definition at line <a class="el" href="a01546_source.html#l02521">2521</a> of file <a class="el" href="a01546_source.html">stl_algo.h</a>.</p>

<p>References <a class="el" href="a01554_source.html#l00173">std::advance()</a>, and <a class="el" href="a01554_source.html#l00114">std::distance()</a>.</p>

<p>Referenced by <a class="el" href="a01546_source.html#l02934">std::__merge_adaptive()</a>, <a class="el" href="a01546_source.html#l03047">std::__merge_without_buffer()</a>, and <a class="el" href="a01546_source.html#l02574">std::equal_range()</a>.</p>

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