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<h1><img src="../../../../boost.png" align="middle" />Range and Slice Storage</h1>
<div class="toc" id="toc"></div>
<h2><a name="range"></a>Range&lt;SizeType,DistanceType&gt;</h2>
<h4>Description</h4>
<p>The class <code>range</code> specifies a range of indicies. The range is a sequence of indices
from a start value to stop value. The indices increase by one and exlude the stop value.
<code>range</code> can therefore be used to specify ranges of elements from vectors and matrices.</p>
<h4>Example</h4>
<pre>
#include &lt;boost/numeric/ublas/storage.hpp&gt;

int main () {
    using namespace boost::numeric::ublas;
    range r (0, 3);
    for (unsigned i = 0; i &lt; r.size (); ++ i) {
        std::cout &lt;&lt; r (i) &lt;&lt; std::endl;
    }
}
</pre>
<h4>Definition</h4>
<p>Defined in the header storage.hpp.</p>
<h4>Model of</h4>
<p>Reversible Container.</p>
<h4>Type requirements</h4>
<p>None, except for those imposed by the requirements of Reversible
Container.</p>
<h4>Public base classes</h4>
<p>None.</p>
<h4>Members</h4>
<table border="1" summary="members">
<tbody>
<tr>
<th>Member</th>
<th>Description</th>
</tr>
<tr>
<td><code>range (size_type start, size_type stop)</code></td>
<td>Constructs a range of indicies from <code>start</code> to <code>stop (excluded)</code>
.</td>
</tr>
<tr>
<td><code>size_type start () const</code></td>
<td>Returns the beginning of the <code>range</code>.</td>
</tr>
<tr>
<td><code>size_type size () const</code></td>
<td>Returns the size of the <code>range</code>.</td>
</tr>
<tr>
<td><code>const_reference operator [] (size_type i)
const</code></td>
<td>Returns the value <code>start + i</code> of the <code>i</code>
-th element.</td>
</tr>
<tr>
<td><code>range compose (const range &amp;r) const</code></td>
<td>Returns the composite range from <code>start + r.start
()</code> to <code>start + r.start () + r.size ()</code>.</td>
</tr>
<tr>
<td><code>bool operator == (const range &amp;r) const</code></td>
<td>Tests two ranges for equality.</td>
</tr>
<tr>
<td><code>bool operator != (const range &amp;r) const</code></td>
<td>Tests two ranges for inequality.</td>
</tr>
<tr>
<td><code>const_iterator begin () const</code></td>
<td>Returns a <code>const_iterator</code> pointing to the beginning
of the <code>range</code>.</td>
</tr>
<tr>
<td><code>const_iterator end () const</code></td>
<td>Returns a <code>const_iterator</code> pointing to the end of
the <code>range</code>.</td>
</tr>
<tr>
<td><code>const_reverse_iterator rbegin () const</code></td>
<td>Returns a <code>const_reverse_iterator</code> pointing to the
beginning of the reversed <code>range</code>.</td>
</tr>
<tr>
<td><code>const_reverse_iterator rend () const</code></td>
<td>Returns a <code>const_reverse_iterator</code> pointing to the
end of the reversed <code>range</code>.</td>
</tr>
</tbody>
</table>
<h4>Preconditions</h4>
<ul>
<li><code>start () &lt;= stop ()</code></li>
</ul>

<h2><a name="slice"></a>Slice&lt;SizeType,DistanceType&gt;</h2>
<h4>Description</h4>
<p>The class <code>slice</code> specifies a 'slice' of indicies. Slices are more general
then ranges, the stride allows the sequence of indicies to increase and decrease by the specified amount between element.
<code>slice</code> can therefore be used to specify slices of element from vectors and matrices.</p>
<h4>Example</h4>
<pre>
#include &lt;boost/numeric/ublas/storage.hpp&gt;

int main () {
    using namespace boost::numeric::ublas;
    slice s (0, 1, 3);
    for (unsigned i = 0; i &lt; s.size (); ++ i) {
        std::cout &lt;&lt; s (i) &lt;&lt; std::endl;
    }
}
</pre>
<h4>Definition</h4>
<p>Defined in the header storage.hpp.</p>
<h4>Model of</h4>
<p>Reversible Container.</p>
<h4>Type requirements</h4>
<p>None, except for those imposed by the requirements of Reversible
Container.</p>
<h4>Public base classes</h4>
<p>None.</p>
<h4>Members</h4>
<table border="1" summary="members">
<tbody>
<tr>
<th>Member</th>
<th>Description</th>
</tr>
<tr>
<td><code>slice (size_type start, size_type stride, size_type
size)</code></td>
<td>Constructs a slice <code>start,start+stride,start+2*stride...</code> with 
<code>size</code> elements.</td>
</tr>
<tr>
<td><code>size_type start () const</code></td>
<td>Returns the beginning of the <code>slice</code>.</td>
</tr>
<tr>
<td><code>size_type stride () const</code></td>
<td>Returns the stride of the <code>slice</code>.</td>
</tr>
<tr>
<td><code>size_type size () const</code></td>
<td>Returns the size of the <code>slice</code>.</td>
</tr>
<tr>
<td><code>const_reference operator [] (size_type i)
const</code></td>
<td>Returns the value <code>start + i * stride</code> of the
<code>i</code>-th element.</td>
</tr>
<tr>
<td><code>slice compose (const range &amp;r) const</code></td>
<td>Returns the composite slice from <code>start + stride * r.start
()</code> to <code>start + stride * (r.start () + r.size ())</code>
with stride <code>stride</code>.</td>
</tr>
<tr>
<td><code>slice compose (const slice &amp;s) const</code></td>
<td>Returns the composite slice from <code>start + stride * s.start
()</code> to <code>start + stride * s.stride () * (s.start () +
s.size ())</code> with stride <code>stride * s.stride ()</code>
.</td>
</tr>
<tr>
<td><code>bool operator == (const slice &amp;s) const</code></td>
<td>Tests two slices for equality.</td>
</tr>
<tr>
<td><code>bool operator != (const slice &amp;s) const</code></td>
<td>Tests two slices for inequality.</td>
</tr>
<tr>
<td><code>const_iterator begin () const</code></td>
<td>Returns a <code>const_iterator</code> pointing to the beginning
of the <code>slice</code>.</td>
</tr>
<tr>
<td><code>const_iterator end () const</code></td>
<td>Returns a <code>const_iterator</code> pointing to the end of
the <code>slice</code>.</td>
</tr>
<tr>
<td><code>const_reverse_iterator rbegin () const</code></td>
<td>Returns a <code>const_reverse_iterator</code> pointing to the
beginning of the reversed <code>slice</code>.</td>
</tr>
<tr>
<td><code>const_reverse_iterator rend () const</code></td>
<td>Returns a <code>const_reverse_iterator</code> pointing to the
end of the reversed <code>slice</code>.</td>
</tr>
</tbody>
</table>
<h4>Preconditions</h4>
<ul>
<li>None all strides are vaild. However when an index is returned or an iterator is dereferenced its
value must be representable as the size_type.</li>
</ul>
   <hr/>
   <p>
      Copyright (&copy;) 2000-2004 Michael Stevens, Mathias Koch,
      Joerg Walter, Gunter Winkler<br />
      Use, modification and distribution are subject to 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">
         http://www.boost.org/LICENSE_1_0.txt
      </a>).
   </p>
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