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<HTML><!--  -- Copyright (c) 1996-1999  -- Silicon Graphics Computer Systems, Inc.  --  -- Permission to use, copy, modify, distribute and sell this software  -- and its documentation for any purpose is hereby granted without fee,  -- provided that the above copyright notice appears in all copies and  -- that both that copyright notice and this permission notice appear  -- in supporting documentation.  Silicon Graphics makes no  -- representations about the suitability of this software for any  -- purpose.  It is provided "as is" without express or implied warranty.  --  -- Copyright (c) 1994  -- Hewlett-Packard Company  --  -- Permission to use, copy, modify, distribute and sell this software  -- and its documentation for any purpose is hereby granted without fee,  -- provided that the above copyright notice appears in all copies and  -- that both that copyright notice and this permission notice appear  -- in supporting documentation.  Hewlett-Packard Company makes no  -- representations about the suitability of this software for any  -- purpose.  It is provided "as is" without express or implied warranty.  --  --><Head><Title>equal_range</Title><!-- Generated by htmldoc --></HEAD><BODY TEXT="#000000" LINK="#006600" ALINK="#003300" VLINK="#7C7F87" BGCOLOR="#FFFFFF"><A HREF="/"><IMG SRC="/images/common/sgilogo_small.gif" ALT="SGI Logo" WIDTH="80" HEIGHT="72" BORDER="0"></A><P><!--end header--><BR Clear><H1>equal_range</H1><Table CellPadding=0 CellSpacing=0 width=100%><TR><TD Align=left><Img src = "algorithms.gif" Alt=""   WIDTH = "194"  HEIGHT = "38" ></TD><TD Align=right><Img src = "function.gif" Alt=""   WIDTH = "194"  HEIGHT = "38" ></TD></TR><TR><TD Align=left VAlign=top><b>Category</b>: algorithms</TD><TD Align=right VAlign=top><b>Component type</b>: function</TD></TR></Table><h3>Prototype</h3><tt>Equal_range</tt> is an overloaded name; there are actually two <tt>equal_range</tt>functions.<pre>template &lt;class <A href="ForwardIterator.html">ForwardIterator</A>, class <A href="LessThanComparable.html">LessThanComparable</A>&gt;<A href="pair.html">pair</A>&lt;ForwardIterator, ForwardIterator&gt;equal_range(ForwardIterator first, ForwardIterator last,            const LessThanComparable&amp; value);template &lt;class <A href="ForwardIterator.html">ForwardIterator</A>, class T, class <A href="StrictWeakOrdering.html">StrictWeakOrdering</A>&gt;<A href="pair.html">pair</A>&lt;ForwardIterator, ForwardIterator&gt;equal_range(ForwardIterator first, ForwardIterator last, const T&amp; value,            StrictWeakOrdering comp);</pre>                   <h3>Description</h3><tt>Equal_range</tt> is a version of binary search: it attempts to find theelement <tt>value</tt> in an ordered range <tt>[first, last)</tt> <A href="#1">[1]</A>.  Thevalue returned by <tt>equal_range</tt> is essentially a combination ofthe values returned by <tt><A href="lower_bound.html">lower_bound</A></tt> and <tt><A href="upper_bound.html">upper_bound</A></tt>:it returns a pair of iterators <tt>i</tt> and <tt>j</tt> such that <tt>i</tt> is the first position where <tt>value</tt> could be inserted without violatingthe ordering and <tt>j</tt> is the last position where <tt>value</tt> could beinserted without violating the ordering.  It follows that everyelement in the range <tt>[i, j)</tt> is equivalent to <A href="#1">[1]</A> <tt>value</tt>, and that<tt>[i, j)</tt> is the largest subrange of <tt>[first, last)</tt> that has thisproperty.  The first version of <tt>equal_range</tt>uses <tt>operator&lt;</tt> for comparison, and the second uses the <A href="functors.html">function object</A> <tt>comp</tt>.<P>The first version of <tt>equal_range</tt> returns a pair of iterators <tt>[i, j)</tt>.<tt>i</tt> is the furthermost iterator in <tt>[first, last)</tt> such that, forevery iterator <tt>k</tt> in <tt>[first, i)</tt>, <tt>*k &lt; value</tt>.  <tt>j</tt> is thefurthermost iterator in <tt>[first, last)</tt> such that, for every iterator<tt>k</tt> in <tt>[first, j)</tt>, <tt>value &lt; *k</tt> is <tt>false</tt>.  For every iterator <tt>k</tt> in <tt>[i, j)</tt>, neither <tt>value &lt; *k</tt> nor <tt>*k &lt; value</tt> is <tt>true</tt>. <A href="#2">[2]</A><P>The second version of <tt>equal_range</tt> returns a pair of iterators <tt>[i,j)</tt>.  <tt>i</tt> is the furthermost iterator in <tt>[first, last)</tt> such that,for every iterator <tt>k</tt> in <tt>[first, i)</tt>, <tt>comp(*k, value)</tt> is <tt>true</tt>.<tt>j</tt> is the furthermost iterator in <tt>[first, last)</tt> such that, forevery iterator <tt>k</tt> in <tt>[first, j)</tt>, <tt>comp(value, *k)</tt> is <tt>false</tt>.  Forevery iterator <tt>k</tt> in <tt>[i, j)</tt>, neither <tt>comp(value, *k)</tt> nor<tt>comp(*k, value)</tt> is <tt>true</tt>. <A href="#2">[2]</A><h3>Definition</h3>Defined in the standard header <A href="algorithm">algorithm</A>, and in the nonstandardbackward-compatibility header <A href="algo.h">algo.h</A>.<h3>Requirements on types</h3>For the first version:<UL><LI><tt>ForwardIterator</tt> is a model of <A href="ForwardIterator.html">Forward Iterator</A>.<LI><tt>LessThanComparable</tt> is a model of <A href="LessThanComparable.html">LessThan Comparable</A>.<LI>The ordering on objects of type <tt>LessThanComparable</tt> is a <i>strict   weak ordering</i>, as defined in the <A href="LessThanComparable.html">LessThan Comparable</A> requirements.<LI><tt>ForwardIterator</tt>'s value type is the same type as <tt>LessThanComparable</tt>.</UL>For the second version:<UL><LI><tt>ForwardIterator</tt> is a model of <A href="ForwardIterator.html">Forward Iterator</A>.<LI><tt>StrictWeakOrdering</tt> is a model of <A href="StrictWeakOrdering.html">Strict Weak Ordering</A>.<LI><tt>ForwardIterator</tt>'s value type is the same type as <tt>T</tt>.<LI><tt>ForwardIterator</tt>'s value type is convertible to <tt>StrictWeakOrdering</tt>'s   argument type.</UL><h3>Preconditions</h3>For the first version:<UL><LI><tt>[first, last)</tt> is a valid range.<LI><tt>[first, last)</tt> is ordered in ascending order according to   <tt>operator&lt;</tt>.  That is, for every pair of iterators <tt>i</tt> and <tt>j</tt>   in <tt>[first, last)</tt> such that <tt>i</tt> precedes <tt>j</tt>,    <tt>*j &lt; *i</tt> is <tt>false</tt>.</UL>For the second version:<UL><LI><tt>[first, last)</tt> is a valid range.<LI><tt>[first, last)</tt> is ordered in ascending order according to   the <A href="functors.html">function object</A> <tt>comp</tt>.  That is, for every pair of iterators <tt>i</tt> and <tt>j</tt>   in <tt>[first, last)</tt> such that <tt>i</tt> precedes <tt>j</tt>,    <tt>comp(*j, *i)</tt> is <tt>false</tt>.</UL><h3>Complexity</h3>The number of comparisons is logarithmic: at most <tt>2 * log(last - first) +1</tt>.  If <tt>ForwardIterator</tt> is a <A href="RandomAccessIterator.html">Random Access Iterator</A> then thenumber of steps through the range is also logarithmic; otherwise, the number of steps is proportional to <tt>last - first</tt>.  <A href="#3">[3]</A><h3>Example</h3><pre>int main(){  int A[] = { 1, 2, 3, 3, 3, 5, 8 };  const int N = sizeof(A) / sizeof(int);  for (int i = 2; i &lt;= 4; ++i) {    pair&lt;int*, int*&gt; result = equal_range(A, A + N, i);    cout &lt;&lt; endl;    cout &lt;&lt; &quot;Searching for &quot; &lt;&lt; i &lt;&lt; endl;    cout &lt;&lt; &quot;  First position where &quot; &lt;&lt; i &lt;&lt; &quot; could be inserted: &quot;         &lt;&lt; result.first - A &lt;&lt; endl;    cout &lt;&lt; &quot;  Last position where &quot; &lt;&lt; i &lt;&lt; &quot; could be inserted: &quot;         &lt;&lt; result.second - A &lt;&lt; endl;    if (result.first &lt; A + N)      cout &lt;&lt; &quot;  *result.first = &quot; &lt;&lt; *result.first &lt;&lt; endl;    if (result.second &lt; A + N)      cout &lt;&lt; &quot;  *result.second = &quot; &lt;&lt; *result.second &lt;&lt; endl;  }}    </pre>The output is:<pre>Searching for 2  First position where 2 could be inserted: 1  Last position where 2 could be inserted: 2  *result.first = 2  *result.second = 3Searching for 3  First position where 3 could be inserted: 2  Last position where 3 could be inserted: 5  *result.first = 3  *result.second = 5Searching for 4  First position where 4 could be inserted: 5  Last position where 4 could be inserted: 5  *result.first = 5  *result.second = 5</pre><h3>Notes</h3><P><A name="1">[1]</A>Note that you may use an ordering that is a strict weak orderingbut not a total ordering; that is, there might be values <tt>x</tt> and <tt>y</tt>such that <tt>x &lt; y</tt>, <tt>x &gt; y</tt>, and <tt>x == y</tt> are all <tt>false</tt>.  (See the<A href="LessThanComparable.html">LessThan Comparable</A> requirements for a more complete discussion.)Finding <tt>value</tt> in the range <tt>[first, last)</tt>, then, doesn't meanfinding an element that is equal to <tt>value</tt> but rather one that is<i>equivalent to</i> <tt>value</tt>: one that is neither greater than nor lessthan <tt>value</tt>.  If you're using a total ordering, however (if you'reusing <tt>strcmp</tt>, for example, or if you're using ordinary arithmeticcomparison on integers), then you can ignore this technicaldistinction: for a total ordering, equality and equivalence arethe same.<P><A name="2">[2]</A>Note that <tt>equal_range</tt> may return an empty range; that is, itmay return a pair both of whose elements are the same iterator.<tt>Equal_range</tt> returns an empty range if and only if the range <tt>[first,last)</tt> contains no elements equivalent to <tt>value</tt>.  In this case itfollows that there is only one position where <tt>value</tt> could beinserted without violating the range's ordering, so the return valueis a pair both of whose elements are iterators that point to thatposition.<P><A name="3">[3]</A>This difference between <A href="RandomAccessIterator.html">Random Access Iterators</A> and<A href="ForwardIterator.html">Forward Iterators</A> is simply because <tt><A href="advance.html">advance</A></tt> is constanttime for <A href="RandomAccessIterator.html">Random Access Iterators</A> and linear time for <A href="ForwardIterator.html">Forward Iterators</A>.<h3>See also</h3><tt><A href="lower_bound.html">lower_bound</A></tt>, <tt><A href="upper_bound.html">upper_bound</A></tt>, <tt><A href="binary_search.html">binary_search</A></tt><!-- start footer --><!-- Footer Begins --><STYLE TYPE="text/css"><!--TD.footer, TD.footer A{		font-family: Arial, helvetica, sans-serif;        	font-size: 8pt;}A.home {font-family: Arial, helvetica, sans-serif;}--></STYLE><P><A CLASS="home" HREF="index.html">STL Home</A><P><TABLE WIDTH="600" CELLPADDING="0" CELLPADDING="0" BORDER="0">	<TR>	    <TD ALIGN="RIGHT" CLASS="footer"><A HREF="/company_info/terms.html" TARGET="_top">terms of use</A> | <A HREF="/company_info/privacy.html" TARGET="_top">privacy policy</A></TD>	    <TD ALIGN="CENTER" CLASS="footer">&nbsp;|&nbsp;</TD>	    <TD ALIGN="LEFT" CLASS="footer"><A HREF="/cgi-bin/feedback/" TARGET="_top">contact us</A></TD>	</TR><TR>	    <TD ALIGN="RIGHT" CLASS="footer">Copyright &copy; 1993-2003 Silicon Graphics, Inc. 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