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<Head>
<Title>Iterator Concepts</Title>
<BODY BGCOLOR="#ffffff" LINK="#0000ee" TEXT="#000000" VLINK="#551a8b"
ALINK="#ff0000">
<IMG SRC="../../c++boost.gif"
ALT="C++ Boost" width="277" height="86">
<BR Clear>
<h1>Iterator Concepts</h1>
<p>The standard iterator concepts (the iterator requirements defined
in the C++ Standard) have a flaw. They glom together two separate
issues into a single set of concepts. The two issues are iterator
traversal and dereference return type semantics. These two issues are
inherently orthogonal and therefore ought to be represented by two
separate sets of concepts. The concepts described here do just
that.</p>
One set of concepts handles the return type semantics:
<ul>
<li><a href="#concept:ReadableIterator">Readable Iterator</a></li>
<li><a href="#concept:WritableIterator">Writable Iterator</a></li>
<li><a href="#concept:MutableLvalueIterator">Mutable Lvalue Iterator</a></li>
<li><a href="#concept:ConstantLvalueIterator">Constant Lvalue Iterator</a></li>
</ul>
The other set of concepts handles iterator traversal:
<ul>
<li><a href="#concept:SinglePassIterator">Single-Pass Iterator</a></li>
<li><a href="#concept:ForwardIterator">Forward Iterator</a></li>
<li><a href="#concept:BidirectionalIterator">Bidirectional Iterator</a></li>
<li><a href="#concept:RandomAccessIterator">Random Access Iterator</a></li>
</ul>
<p></p>
<DIV ALIGN="CENTER"><A NAME="fig:graph-concepts"></A></A>
<TABLE>
<CAPTION ALIGN="TOP"><STRONG>Figure 1:</STRONG>
The iterator concepts and refinement relationships.
</CAPTION>
<TR><TD><IMG SRC="./iterator_concepts.gif"></TD></TR>
</TABLE>
</DIV>
<p></p>
<h2>Relationship with the standard iterator concepts</h2>
<p>
std::Input Iterator refines boost::Single-Pass Iterator and
boost::ReadableIterator.
<p>
std::Output Iterator refines boost::Single-Pass Iterator and
boost::Writable Iterator.
<p>
std::Forward Iterator refines boost::Forward Iterator and
boost::Constant Lvalue Iterator or boost::Mutable Lvalue Iterator.
<p>
std::Bidirectional Iterator refines boost::Bidirectional Iterator and
boost::Constant Lvalue Iterator or boost::Mutable Lvalue Iterator.
<p>
std::Random Access Iterator refines boost::Random Access Iterator and
boost::Constant Lvalue Iterator or boost::Mutable Lvalue Iterator.
<h3>Notation</h3>
<Table>
<TR>
<TD><tt>X</tt></TD>
<TD>The iterator type.</TD>
</TR>
<TR>
<TD><tt>T</tt></TD>
<TD>The value type of <tt>X</tt>.</TD>
</TR>
<TR>
<TD><tt>x</tt>, <tt>y</tt></TD>
<TD>An object of type <tt>X</tt>.</TD>
</TR>
<TR>
<TD><tt>t</tt></TD>
<TD>An object of type <tt>T</tt>.</TD>
</tr>
</table>
<p>
<hr>
<H2><A NAME="concept:ReadableIterator"></A>
Readable Iterator
</H2>
A Readable Iterator is an iterator that dereferences to produce an
rvalue that is convertible to the <tt>value_type</tt> of the
iterator. For example, derefencing may return a temporary object and
therefore it would be a mistake to bind the result to a reference.
Also, an attempt to assign a value to the result will most likely
cause an error.
<pre>
template &lt;class Readable Iterator&gt;
void foo(Readable Iterator x)
{
typedef std::iterator_traits&lt;Readable Iterator&gt;::value_type T;
T t = *x; // Read a value. This is OK.
T& s = *x; // Bind to a reference. This is a bad idea.
*x = t; // Try to assign. This is a really bad idea.
}
</pre>
<h3>Associated Types</h3>
<Table border>
<TR>
<TD>Value type</TD>
<TD><tt><a href="./iterator_traits.htm">boost::iterator_traits</a>&lt;X&gt;::value_type</tt></TD>
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<TD>
The type of the value obtained by dereferencing a LvalueIterator
</TD>
</tr>
<TR>
<TD>Return Category</TD>
<TD><tt><a href="./iterator_traits.htm">boost::iterator_traits</a>&lt;X&gt;::return_category</tt></TD>
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<TD>
A type convertible to <tt>boost::readable_iterator_tag</tt>
</TD>
</tr>
</Table>
<h3>Refinement of</h3>
<A href="http://www.sgi.com/Technology/STL/Assignable.html">Assignable</A>,
<A href="http://www.sgi.com/Technology/STL/EqualityComparable.html">Equality Comparable</A>,
<A href="http://www.sgi.com/Technology/STL/DefaultConstructible.html">Default Constructible</A>
<h3>Valid expressions</h3>
<Table border>
<TR><TH>Name</TH><TH>Expression</TH><TH>Type requirements</TH><TH>Return type</TH></TR>
<TR>
<TD>Dereference</TD>
<TD><tt>*x</tt></TD>
<TD>&nbsp;</TD>
<TD>Convertible to <tt>T</tt>.</TD>
</TR>
<TR>
<TD>Member access</TD>
<TD><tt>x-&gt;m</tt></TD>
<TD><tt>T</tt> is a type with a member named <tt>m</tt>.</TD>
<TD>
&nbsp;
</TD>
</tr>
</table>
<p>
<hr>
<H2><A NAME="concept:WritableIterator"></A>
Writable Iterator
</H2>
A Writable Iterator is an iterator that can be used to store a value
using the dereference-assignment expression.
<h3>Definitions</h3>
If <tt>x</tt> is an Writable Iterator of type <tt>X</tt>, then the
expression <tt>*x = a;</tt> stores the value <tt>a</tt> into
<tt>x</tt>. Note that <tt>operator=</tt>, like other C++ functions,
may be overloaded; it may, in fact, even be a template function. In
general, then, <tt>a</tt> may be any of several different types. A
type <tt>A</tt> belongs to the <i>set of value types</i> of <tt>X</tt>
if, for an object <tt>a</tt> of type <tt>A</tt>, <tt>*x = a;</tt> is
well-defined and does not require performing any non-trivial
conversions on <tt>a</tt>.
<h3>Associated Types</h3>
<Table border>
<TR>
<TD>Return Category</TD>
<TD><tt><a href="./iterator_traits.htm">boost::iterator_traits</a>&lt;X&gt;::return_category</tt></TD>
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<TD>
A type convertible to <tt>boost::writable_iterator_tag</tt>
</TD>
</tr>
</Table>
<h3>Refinement of</h3>
<A href="http://www.sgi.com/Technology/STL/Assignable.html">Assignable</A>,
<A href="http://www.sgi.com/Technology/STL/EqualityComparable.html">Equality Comparable</A>,
<A href="http://www.sgi.com/Technology/STL/DefaultConstructible.html">Default Constructible</A>
<h3>Valid expressions</h3>
<Table border>
<TR>
<TH>Name</TH><TH>Expression</TH><TH>Return type</TH>
</TR>
<TR>
<TD>Dereference assignment</TD>
<TD><tt>*x = a</tt></TD>
<TD>unspecified</TD>
</TR>
</table>
<p>
<hr>
<H2><A NAME="concept:ConstantLvalueIterator"></A>
Constant Lvalue Iterator
</H2>
A Constant Lvalue Iterator is an iterator that dereferences to produce a
const reference to the pointed-to object, i.e., the associated
<tt>reference</tt> type is <tt>const T&amp;</tt>. Changing the value
of or destroying an iterator that models Constant Lvalue Iterator does
not invalidate pointers and references previously obtained from that
iterator.
<h3>Refinement of</h3>
<a href="#concept:Readable Iterator">Readable Iterator</a>
<h3>Associated Types</h3>
<Table border>
<TR>
<TD>Value type</TD>
<TD><tt><a href="./iterator_traits.htm">boost::iterator_traits</a>&lt;X&gt;::value_type</tt></TD>
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<TD>
The type of the value obtained by dereferencing a Constant Lvalue Iterator.
</TD>
</tr>
<TR>
<TD>Reference type</TD>
<TD><tt><a href="./iterator_traits.htm">boost::iterator_traits</a>&lt;X&gt;::reference</tt></TD>
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<TD>
The return type of <tt>operator*()</tt>, which must be
<tt>const T&amp;</tt>.
</TD>
</tr>
<TR>
<TD>POinter type</TD>
<TD><tt><a href="./iterator_traits.htm">boost::iterator_traits</a>&lt;X&gt;::pointer</tt></TD>
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<TD>
The pointer to the value type, which must be <tt>const T*</tt>.
</TD>
</tr>
<TR>
<TD>Return Category</TD>
<TD><tt><a href="./iterator_traits.htm">boost::iterator_traits</a>&lt;X&gt;::return_category</tt></TD>
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<TD>
A type convertible to <tt>boost::constant_lvalue_iterator_tag</tt>
</TD>
</tr>
</table>
<h3>Valid expressions</h3>
<Table border>
<TR><TH>Name</TH><TH>Expression</TH><TH>Type requirements</TH><TH>Return type</TH></TR>
<TR>
<TD>Dereference</TD>
<TD><tt>*x</tt></TD>
<TD>&nbsp;</TD>
<TD><tt>const T&amp;</tt></TD>
</TR>
<TR>
<TD>Member access</TD>
<TD><tt>x-&gt;m</tt></TD>
<TD><tt>T</tt> is a type with a member named <tt>m</tt>.</TD>
<TD>
&nbsp;
</TD>
</tr>
</table>
<H2><A NAME="concept:MutableLvalueIterator"></A>
Mutable Lvalue Iterator
</H2>
A Mutable Lvalue Iterator is an iterator that dereferences to produce a
reference to the pointed-to object. The associated <tt>reference</tt>
type is <tt>T&amp;</tt>. Changing the value of or destroying an
iterator that models Mutable Lvalue Iterator does not invalidate
pointers and references previously obtained from that iterator.
<h3>Refinement of</h3>
<a href="#concept:Readable Iterator">Readable Iterator</a> and
<a href="#concept:WritableIterator">Writable Iterator</a>.
<h3>Associated Types</h3>
<Table border>
<TR>
<TD>Value type</TD>
<TD><tt><a href="./iterator_traits.htm">boost::iterator_traits</a>&lt;X&gt;::value_type</tt></TD>
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<TD>
The type of the value obtained by dereferencing a Mutable Lvalue Iterator.
</TD>
</tr>
<TR>
<TD>Reference type</TD>
<TD><tt><a href="./iterator_traits.htm">boost::iterator_traits</a>&lt;X&gt;::reference</tt></TD>
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<TD>
The return type of <tt>operator*()</tt>, which is
<tt>T&amp;</tt>.
</TD>
</tr>
<TR>
<TD>Pointer type</TD>
<TD><tt><a href="./iterator_traits.htm">boost::iterator_traits</a>&lt;X&gt;::pointer</tt></TD>
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<TD>
The pointer to the value type, which is <tt>T*</tt>.
</TD>
</tr>
<TR>
<TD>Return Category</TD>
<TD><tt><a href="./iterator_traits.htm">boost::iterator_traits</a>&lt;X&gt;::return_category</tt></TD>
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<TD>
A type convertible to <tt>boost::mutable_lvalue_iterator_tag</tt>
</TD>
</tr>
</table>
<h3>Valid expressions</h3>
<Table border>
<TR><TH>Name</TH><TH>Expression</TH><TH>Type requirements</TH><TH>Return type</TH></TR>
<TR>
<TD>Dereference</TD>
<TD><tt>*x</tt></TD>
<TD>&nbsp;</TD>
<TD> <tt>T&amp;</tt> </TD>
</TR>
<TR>
<TD>Member access</TD>
<TD><tt>x-&gt;m</tt></TD>
<TD><tt>T</tt> is a type with a member named <tt>m</tt>.</TD>
<TD>
&nbsp;
</TD>
</tr>
</table>
<p>
<hr>
<H2><A NAME="concept:SinglePassIterator"></A>
Single-Pass Iterator
</H2>
A Single-Pass Iterator is an iterator that can be incremented to
traverse through a sequence of objects, but the sequence can only be
traversed a single time.
<h3>Associated types</h3>
<Table border>
<TR>
<TD>Difference type</TD>
<TD><tt><a href="./iterator_traits.htm">boost::iterator_traits</a>&lt;X&gt;::difference_type</tt></TD>
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<TD>
A signed integral type used to represent the distance from one
iterator to another, or the number of elements in a range.
</TD>
</TR>
<TR>
<TD>Traversal Category</TD>
<TD><tt><a href="./iterator_traits.htm">boost::iterator_traits</a>&lt;X&gt;::traversal_category</tt></TD>
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<TD>
A type convertible to <tt>boost::single_pass_iterator_tag</tt>
</TD>
</tr>
</table>
<h3>Valid expressions</h3>
<Table border>
<TR>
<TH>Name</TH><TH>Expression</TH><TH>Type requirements</TH>
<TH>Return type</TH>
</TR>
<TR>
<TD>Preincrement</TD>
<TD><tt>++i</tt></TD><TD>&nbsp;</TD><TD><tt>X&amp;</tt></TD>
</TR>
<TR>
<TD>Postincrement</TD>
<TD><tt>(void)i++</tt></TD><TD>&nbsp;</TD><TD>&nbsp;</TD>
</TR>
</Table>
<p>
<hr>
<H2><A NAME="concept:ForwardIterator"></A>
Forward Iterator
</H2>
The Forward Iterator is an iterator that can be incremented. Also, it
is permissible to make multiple passes through the sequence.
<h3>Refinement of</h3>
<a href="#concept:SinglePassIterator">Single-Pass Iterator</a>
<h3>Associated types</h3>
<Table border>
<TR>
<TD>Traversal Category</TD>
<TD><tt><a href="./iterator_traits.htm">boost::iterator_traits</a>&lt;X&gt;::traversal_category</tt></TD>
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<TD>
A type convertible to <tt>boost::forward_iterator_tag</tt>
</TD>
</tr>
</Table>
<p>
<hr>
<H2><A NAME="concept:BidirectionalIterator"></A>
Bidirectional Iterator
</H2>
An iterator that can be incremented and decremented.
<h3>Refinement of</h3>
<a href="#concept:ForwardIterator">Forward Iterator</a>
<h3>Associated types</h3>
<Table border>
<TR>
<TD>Traversal Category</TD>
<TD><tt><a href="./iterator_traits.htm">boost::iterator_traits</a>&lt;X&gt;::traversal_category</tt></TD>
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<TD>
A type convertible to <tt>boost::bidirectional_iterator_tag</tt>
</TD>
</tr>
</Table>
<h3>Valid expressions</h3>
<Table border>
<TR>
<TH>Name</TH><TH>Expression</TH><TH>Type requirements</TH>
<TH>Return type</TH>
</TR>
<TR><TD>Predecrement</TD>
<TD><tt>--i</tt></TD><TD>&nbsp;</TD><TD><tt>X&amp;</tt></TD>
</TR>
<TR><TD>Postdecrement</TD>
<TD><tt>i--</tt></TD><TD>&nbsp;</TD><TD><tt>X</tt></TD>
</tr>
</table>
<p>
<hr>
<H2><A NAME="concept:RandomAccessIterator"></A>
Random Access Iterator
</H2>
An iterator that provides constant-time methods for moving forward and
backward in arbitrary-sized steps
<h3>Refinement of</h3>
<a href="#concept:BidirectionalIterator">Bidirectional Iterator</a>
<h3>Associated types</h3>
<Table border>
<TR>
<TD>Traversal Category</TD>
<TD><tt><a href="./iterator_traits.htm">boost::iterator_traits</a>&lt;X&gt;::traversal_category</tt></TD>
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<TD>
A type convertible to <tt>boost::random_access_iterator_tag</tt>
</TD>
</tr>
</Table>
<h3>Valid expressions</h3>
<Table border>
<TR><TH>Name</TH><TH>Expression</TH><TH>Type requirements</TH>
<TH>Return type</TH>
</TR>
<TR><TD>Iterator addition</TD>
<TD><tt>i += n</tt></TD><TD>&nbsp;</TD><TD><tt>X&amp;</tt></TD>
</TR>
<TR><TD>Iterator addition</TD>
<TD><tt>i + n</tt> or <tt>n + i</tt></TD><TD>&nbsp;</TD><TD><tt>X</tt></TD>
</TR>
<TR><TD>Iterator subtraction</TD>
<TD><tt>i -= n</tt></TD><TD>&nbsp;</TD><TD><tt>X&amp;</tt></TD>
</TR>
<TR><TD>Iterator subtraction</TD>
<TD><tt>i - n</tt></TD><TD>&nbsp;</TD><TD><tt>X</tt></TD>
</TR>
<TR><TD>Difference</TD>
<TD><tt>i - j</tt></TD><TD>&nbsp;</TD><TD><tt><a href="./iterator_traits.htm">boost::iterator_traits</a>&lt;X&gt;::difference_type</tt></TD>
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</TR>
<TR><TD>Element operator</TD>
<TD><tt>i[n]</tt></TD>
<TD><tt>X</tt> must be a model of
<a href="#concept:Readable Iterator">Readable Iterator</a>. </TD>
<TD>The same return type as <tt>*i</tt>.</TD>
</TR>
<TR><TD>Element assignment</TD>
<TD><tt>i[n] = t</tt></TD>
<TD><tt>X</tt> must be a model of
<a href="#concept:WritableIterator">Writable Iterator</a>.</TD>
<TD>unspecified</TD>
</tr>
</table>
<hr>
<HR>
<TABLE>
<TR valign=top>
<TD nowrap>Copyright &copy 2000</TD><TD>
<A HREF="../../../people/jeremy_siek.htm">Jeremy Siek</A>, Univ.of Notre Dame (<A HREF="mailto:jsiek@lsc.nd.edu">jsiek@lsc.nd.edu</A>)
</TD></TR></TABLE>
</body>
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