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<HTML>
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<HEAD>
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<TITLE>binary_search()</TITLE>
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<LINK REL=StyleSheet HREF="../rw.css" TYPE="text/css" TITLE="Apache stdcxx Stylesheet"></HEAD>
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<BODY BGCOLOR=#FFFFFF>
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<A HREF="binary-negate.html"><IMG SRC="images/bprev.gif" WIDTH=20 HEIGHT=21 ALT="Previous file" BORDER=O></A><A HREF="noframes.html"><IMG SRC="images/btop.gif" WIDTH=56 HEIGHT=21 ALT="Top of Document" BORDER=O></A><A HREF="booktoc.html"><IMG SRC="images/btoc.gif" WIDTH=56 HEIGHT=21 ALT="Contents" BORDER=O></A><A HREF="tindex.html"><IMG SRC="images/bindex.gif" WIDTH=56 HEIGHT=21 ALT="Index page" BORDER=O></A><A HREF="bind1st.html"><IMG SRC="images/bnext.gif" WIDTH=25 HEIGHT=21 ALT="Next file" BORDER=O></A><DIV CLASS="DOCUMENTNAME"><B>Apache C++ Standard Library Reference Guide</B></DIV>
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<H2>binary_search()</H2>
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<P><B>Library:</B> <A HREF="2-9.html">Algorithms</A></P>
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<PRE><HR><B><I>Function</I></B><HR></PRE>
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<UL>
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<LI><A HREF="#sec1">Local Index</A></LI>
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<LI><A HREF="#sec2">Summary</A></LI>
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<LI><A HREF="#sec3">Synopsis</A></LI>
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<LI><A HREF="#sec4">Description</A></LI>
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<LI><A HREF="#sec5">Complexity</A></LI>
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<LI><A HREF="#sec6">Example</A></LI>
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<LI><A HREF="#sec7">See Also</A></LI>
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<LI><A HREF="#sec8">Standards Conformance</A></LI>
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</UL>
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<A NAME="sec1"><H3>Local Index</H3></A>
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No Entries
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<A NAME="sec2"><H3>Summary</H3></A>
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<P>Algorithm that performs a binary search for a value</P>
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<A NAME="sec3"><H3>Synopsis</H3></A>
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<PRE>#include <algorithm>
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namespace std {
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template <class ForwardIterator, class T>
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bool
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binary_search(ForwardIterator start, ForwardIterator finish,
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const T& value);
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template <class ForwardIterator, class T, class Compare>
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bool
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binary_search(ForwardIterator start, ForwardIterator finish,
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const T& value, Compare comp);
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}
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</PRE>
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<A NAME="sec4"><H3>Description</H3></A>
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<P>The <SAMP>binary_search()</SAMP> algorithm, like the related algorithms <SAMP><A HREF="equal-range.html">equal_range()</A></SAMP>, <SAMP><A HREF="lower-bound.html">lower_bound()</A></SAMP>, and <SAMP><A HREF="upper-bound.html">upper_bound()</A></SAMP>, performs a binary search on a range of ordered values. All binary search algorithms have two variations. The first variation uses the <SAMP>operator<</SAMP> to perform the comparison, and assumes that the sequence has been sorted using that operator. The second variation allows you to specify a function object of type <SAMP>Compare</SAMP>, which it assumes was the function used to sort the sequence. The function object must be a binary predicate. </P>
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<P>The <SAMP>binary_search()</SAMP> algorithm returns <SAMP>true</SAMP> if a sequence contains an element equivalent to the argument <SAMP>value</SAMP>. The first variation of <SAMP>binary_search()</SAMP> returns <SAMP>true</SAMP> if the sequence contains at least one element that is equal to the search value. The second variation of the <SAMP>binary_search()</SAMP> algorithm returns <SAMP>true</SAMP> if the sequence contains at least one element that satisfies the conditions of the comparison function. Formally, <SAMP>binary_search()</SAMP> returns <SAMP>true</SAMP> if there is an iterator <SAMP>i</SAMP> in the range <SAMP>[start, finish)</SAMP> that satisfies the corresponding conditions:</P>
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<P><SAMP>!(*i < value) && !(value < *i) </SAMP></P>
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<P>or </P>
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<P><SAMP>comp(*i, value) == false && comp(value, *i) == false</SAMP></P>
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<A NAME="sec5"><H3>Complexity</H3></A>
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<P><SAMP>binary_search()</SAMP> performs at most <SAMP>log(finish - start) + 2 </SAMP>comparisons.</P>
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<A NAME="sec6"><H3>Example</H3></A>
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<UL><PRE>//
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// b_search.cpp
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//
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#include <algorithm> // for copy, sort
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#include <deque> // for deque
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#include <functional> // for less
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#include <iostream> // for cout, endl, ostream_iterator
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int main ()
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{
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// Typedefs for convenience.
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typedef std::deque<short, std::allocator<short> > deque;
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typedef std::ostream_iterator<deque::value_type, char,
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std::char_traits<char> > os_iter;
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const deque::value_type arr[] = {
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0, 1, 2, 2, 3, 4, 2, 2, 6, 7
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};
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// Populate and sort the container.
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deque d (arr + 0, arr + sizeof arr / sizeof *arr);
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std::sort (d.begin (), d.end ());
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// Try binary_search variants.
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bool b1 = std::binary_search (d.begin (), d.end (), 3);
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bool b2 = std::binary_search (d.begin (), d.end (), 11,
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std::less<int>());
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// Output results.
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std::cout << "Container contents: ";
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std::copy (d.begin (), d.end (),
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os_iter (std::cout, " "));
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std::cout << "\nThe number 3 was "
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<< ("NOT found" + b1 * 4);
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std::cout << "\nThe number 11 was "
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<< ("NOT found" + b2 * 4) << std::endl;
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return 0;
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}
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Program Output:
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Container contents: 0 1 2 2 2 2 3 4 6 7
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The number 3 was found
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The number 11 was NOT found
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</PRE></UL>
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<A NAME="sec7"><H3>See Also</H3></A>
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<P><SAMP><A HREF="equal-range.html">equal_range()</A></SAMP>, <SAMP><A HREF="lower-bound.html">lower_bound()</A></SAMP>, <SAMP><A HREF="upper-bound.html">upper_bound()</A></SAMP></P>
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<A NAME="sec8"><H3>Standards Conformance</H3></A>
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<P><I>ISO/IEC 14882:1998 -- International Standard for Information Systems -- Programming Language C++, Section 25.3.3.4</I></P>
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