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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN"
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    "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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<html xmlns="http://www.w3.org/1999/xhtml">
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<head>
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<meta name="generator" content=
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"HTML Tidy for Linux/x86 (vers 1st March 2004), see www.w3.org" />
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<meta http-equiv="Content-Type" content=
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"text/html; charset=us-ascii" />
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<link rel="stylesheet" href="../../../../boost.css" type="text/css"/>
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<link rel="stylesheet" href="ublas.css" type="text/css" />
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<script type="text/javascript" src="js/jquery-1.3.2.min.js" async="async" ></script>
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<script type="text/javascript" src="js/jquery.toc-gw.js" async="async" ></script>
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<title>Matrix</title>
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</head>
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<body>
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<h1><img src="../../../../boost.png" align="middle" />Matrix</h1>
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<div class="toc" id="toc"></div>
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<h2><a name="matrix"></a>Matrix</h2>
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<h4>Description</h4>
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<p>The templated class <code>matrix<T, F, A></code> is the
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base container adaptor for dense matrices. For a <em>(m x
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n</em>)-dimensional matrix and <em>0 <= i < m</em>, <em>0
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<= j < n</em> every element <em>m</em><sub><em>i,
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j</em></sub> is mapped to the <em>(i x n + j)-</em>th element of
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the container for row major orientation or the <em>(i + j x
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m)-</em>th element of the container for column major
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orientation.</p>
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<h4>Example</h4>
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<pre>
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#include <boost/numeric/ublas/matrix.hpp>
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#include <boost/numeric/ublas/io.hpp>
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int main () {
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    using namespace boost::numeric::ublas;
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    matrix<double> m (3, 3);
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    for (unsigned i = 0; i < m.size1 (); ++ i)
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        for (unsigned j = 0; j < m.size2 (); ++ j)
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            m (i, j) = 3 * i + j;
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    std::cout << m << std::endl;
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}
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</pre>
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<h4>Definition</h4>
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<p>Defined in the header matrix.hpp.</p>
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<h4>Template parameters</h4>
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<table border="1" summary="parameters">
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<tbody>
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<tr>
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						|
<th>Parameter</th>
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						|
<th>Description</th>
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						|
<th>Default</th>
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						|
</tr>
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						|
<tr>
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						|
<td><code>T</code></td>
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						|
<td>The type of object stored in the matrix.</td>
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						|
<td></td>
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						|
</tr>
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						|
<tr>
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						|
<td><code>F</code></td>
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						|
<td>Functor describing the storage organization. <a href=
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"#matrix_1">[1]</a></td>
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						|
<td><code>row_major</code></td>
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						|
</tr>
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						|
<tr>
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						|
<td><code>A</code></td>
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						|
<td>The type of the <a href="storage_concept.html">Storage</a> array. <a href="#matrix_2">[2]</a></td>
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						|
<td><code>unbounded_array<T></code></td>
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						|
</tr>
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						|
</tbody>
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						|
</table>
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						|
<h4>Model of</h4>
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						|
<p><a href="container_concept.html#matrix">Matrix</a> .</p>
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						|
<h4>Type requirements</h4>
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						|
<p>None, except for those imposed by the requirements of <a href=
 | 
						|
"container_concept.html#matrix">Matrix</a> .</p>
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						|
<h4>Public base classes</h4>
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						|
<p><code>matrix_container<matrix<T, F, A> ></code></p>
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						|
<h4>Members</h4>
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						|
<table border="1" summary="members">
 | 
						|
<tbody>
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						|
<tr>
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						|
<th>Member</th>
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						|
<th>Description</th>
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						|
</tr>
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						|
<tr>
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<td><code>matrix ()</code></td>
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<td>Allocates an uninitialized <code>matrix</code> that holds zero
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						|
rows of zero elements.</td>
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						|
</tr>
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<tr>
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<td><code>matrix (size_type size1, size_type size2)</code></td>
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<td>Allocates an uninitialized <code>matrix</code> that holds
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						|
<code>size1</code> rows of <code>size2</code> elements.</td>
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						|
</tr>
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<tr>
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<td><code>matrix (const matrix &m)</code></td>
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<td>The copy constructor.</td>
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</tr>
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<tr>
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						|
<td><code>template<class AE><br />
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matrix (const matrix_expression<AE> &ae)</code></td>
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<td>The extended copy constructor.</td>
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						|
</tr>
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<tr>
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						|
<td><code>void resize (size_type size1, size_type size2, bool
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						|
preserve = true)</code></td>
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						|
<td>Reallocates a <code>matrix</code> to hold <code>size1</code>
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						|
rows of <code>size2</code> elements. The existing elements of the
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<code>matrix</code> are preseved when specified.</td>
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						|
</tr>
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						|
<tr>
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						|
<td><code>size_type size1 () const</code></td>
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						|
<td>Returns the number of rows.</td>
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						|
</tr>
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						|
<tr>
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						|
<td><code>size_type size2 () const</code></td>
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						|
<td>Returns the number of columns.</td>
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						|
</tr>
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						|
<tr>
 | 
						|
<td><code>const array_type& data () const</code></td>
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						|
<td></td>
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						|
</tr>
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						|
<tr>
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<td><code>array_type& data ()</code></td>
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						|
<td></td>
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						|
</tr>
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						|
<tr>
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<td><code>const_reference operator () (size_type i, size_type j)
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						|
const</code></td>
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						|
<td>Returns a <code>const</code> reference of the <code>j</code>
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-th element in the <code>i</code>-th row.</td>
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						|
</tr>
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						|
<tr>
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						|
<td><code>reference operator () (size_type i, size_type
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						|
j)</code></td>
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						|
<td>Returns a reference of the <code>j</code>-th element in the
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<code>i</code>-th row.</td>
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						|
</tr>
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						|
<tr>
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						|
<td><code>matrix &operator = (const matrix &m)</code></td>
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						|
<td>The assignment operator.</td>
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						|
</tr>
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<tr>
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						|
<td><code>matrix &assign_temporary (matrix &m)</code></td>
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						|
<td>Assigns a temporary. May change the matrix <code>m</code>.</td>
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						|
</tr>
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						|
<tr>
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						|
<td><code>template<class AE><br />
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matrix &operator = (const matrix_expression<AE>
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						|
&ae)</code></td>
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						|
<td>The extended assignment operator.</td>
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						|
</tr>
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						|
<tr>
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						|
<td><code>template<class AE><br />
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						|
matrix &assign (const matrix_expression<AE>
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						|
&ae)</code></td>
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						|
<td>Assigns a matrix expression to the matrix. Left and right hand
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						|
side of the assignment should be independent.</td>
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						|
</tr>
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						|
<tr>
 | 
						|
<td><code>template<class AE><br />
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						|
matrix &operator += (const matrix_expression<AE>
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						|
&ae)</code></td>
 | 
						|
<td>A computed assignment operator. Adds the matrix expression to
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						|
the matrix.</td>
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						|
</tr>
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						|
<tr>
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						|
<td><code>template<class AE><br />
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						|
matrix &plus_assign (const matrix_expression<AE>
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						|
&ae)</code></td>
 | 
						|
<td>Adds a matrix expression to the matrix. Left and right hand
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						|
side of the assignment should be independent.</td>
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						|
</tr>
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						|
<tr>
 | 
						|
<td><code>template<class AE><br />
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						|
matrix &operator -= (const matrix_expression<AE>
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						|
&ae)</code></td>
 | 
						|
<td>A computed assignment operator. Subtracts the matrix expression
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						|
from the matrix.</td>
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						|
</tr>
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						|
<tr>
 | 
						|
<td><code>template<class AE><br />
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						|
matrix &minus_assign (const matrix_expression<AE>
 | 
						|
&ae)</code></td>
 | 
						|
<td>Subtracts a matrix expression from the matrix. Left and right
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						|
hand side of the assignment should be independent.</td>
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						|
</tr>
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						|
<tr>
 | 
						|
<td><code>template<class AT><br />
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						|
matrix &operator *= (const AT &at)</code></td>
 | 
						|
<td>A computed assignment operator. Multiplies the matrix with a
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						|
scalar.</td>
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						|
</tr>
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						|
<tr>
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						|
<td><code>template<class AT><br />
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						|
matrix &operator /= (const AT &at)</code></td>
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						|
<td>A computed assignment operator. Divides the matrix through a
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						|
scalar.</td>
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						|
</tr>
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						|
<tr>
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						|
<td><code>void swap (matrix &m)</code></td>
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						|
<td>Swaps the contents of the matrices.</td>
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						|
</tr>
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						|
<tr>
 | 
						|
<td><code>void insert_element (size_type i, size_type j, const_reference
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						|
t)</code></td>
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						|
<td>Inserts the value <code>t</code> at the <code>j</code>-th
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						|
element of the <code>i</code>-th row.</td>
 | 
						|
</tr>
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						|
<tr>
 | 
						|
<td><code>void erase_element (size_type i, size_type j)</code></td>
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						|
<td>Erases the value at the <code>j</code>-th element of the
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						|
<code>i</code>-th row.</td>
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						|
</tr>
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						|
<tr>
 | 
						|
<td><code>void clear ()</code></td>
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						|
<td>Clears the matrix.</td>
 | 
						|
</tr>
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						|
<tr>
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						|
<td><code>const_iterator1 begin1 () const</code></td>
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						|
<td>Returns a <code>const_iterator1</code> pointing to the
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						|
beginning of the <code>matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_iterator1 end1 () const</code></td>
 | 
						|
<td>Returns a <code>const_iterator1</code> pointing to the end of
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						|
the <code>matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>iterator1 begin1 ()</code></td>
 | 
						|
<td>Returns a <code>iterator1</code> pointing to the beginning of
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						|
the <code>matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>iterator1 end1 ()</code></td>
 | 
						|
<td>Returns a <code>iterator1</code> pointing to the end of the
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						|
<code>matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_iterator2 begin2 () const</code></td>
 | 
						|
<td>Returns a <code>const_iterator2</code> pointing to the
 | 
						|
beginning of the <code>matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_iterator2 end2 () const</code></td>
 | 
						|
<td>Returns a <code>const_iterator2</code> pointing to the end of
 | 
						|
the <code>matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>iterator2 begin2 ()</code></td>
 | 
						|
<td>Returns a <code>iterator2</code> pointing to the beginning of
 | 
						|
the <code>matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>iterator2 end2 ()</code></td>
 | 
						|
<td>Returns a <code>iterator2</code> pointing to the end of the
 | 
						|
<code>matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_reverse_iterator1 rbegin1 () const</code></td>
 | 
						|
<td>Returns a <code>const_reverse_iterator1</code> pointing to the
 | 
						|
beginning of the reversed <code>matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_reverse_iterator1 rend1 () const</code></td>
 | 
						|
<td>Returns a <code>const_reverse_iterator1</code> pointing to the
 | 
						|
end of the reversed <code>matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>reverse_iterator1 rbegin1 ()</code></td>
 | 
						|
<td>Returns a <code>reverse_iterator1</code> pointing to the
 | 
						|
beginning of the reversed <code>matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>reverse_iterator1 rend1 ()</code></td>
 | 
						|
<td>Returns a <code>reverse_iterator1</code> pointing to the end of
 | 
						|
the reversed <code>matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_reverse_iterator2 rbegin2 () const</code></td>
 | 
						|
<td>Returns a <code>const_reverse_iterator2</code> pointing to the
 | 
						|
beginning of the reversed <code>matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_reverse_iterator2 rend2 () const</code></td>
 | 
						|
<td>Returns a <code>const_reverse_iterator2</code> pointing to the
 | 
						|
end of the reversed <code>matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>reverse_iterator2 rbegin2 ()</code></td>
 | 
						|
<td>Returns a <code>reverse_iterator2</code> pointing to the
 | 
						|
beginning of the reversed <code>matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>reverse_iterator2 rend2 ()</code></td>
 | 
						|
<td>Returns a <code>reverse_iterator2</code> pointing to the end of
 | 
						|
the reversed <code>matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
</tbody>
 | 
						|
</table>
 | 
						|
<h4>Notes</h4>
 | 
						|
<p><a name="matrix_1">[1]</a> Supported parameters
 | 
						|
for the storage organization are <code>row_major</code> and
 | 
						|
<code>column_major</code>.</p>
 | 
						|
<p><a name="matrix_2">[2]</a> Common parameters
 | 
						|
for the storage array are <code>unbounded_array<T></code> ,
 | 
						|
<code>bounded_array<T></code> and
 | 
						|
<code>std::vector<T></code> .</p>
 | 
						|
<h2><a name="identity_matrix"></a>Identity Matrix</h2>
 | 
						|
<h4>Description</h4>
 | 
						|
<p>The templated class <code>identity_matrix<T, ALLOC></code>
 | 
						|
represents identity matrices. For a <em>(m x n</em>)-dimensional
 | 
						|
identity matrix and <em>0 <= i < m</em>, <em>0 <= j <
 | 
						|
n</em> holds <em>id</em><sub><em>i, j</em></sub> <em>= 0</em>, if
 | 
						|
<em>i <> j</em>, and <em>id</em><sub><em>i, i</em></sub><em>=
 | 
						|
1</em>.</p>
 | 
						|
<h4>Example</h4>
 | 
						|
<pre>
 | 
						|
#include <boost/numeric/ublas/matrix.hpp>
 | 
						|
#include <boost/numeric/ublas/io.hpp>
 | 
						|
 | 
						|
int main () {
 | 
						|
    using namespace boost::numeric::ublas;
 | 
						|
    identity_matrix<double> m (3);
 | 
						|
    std::cout << m << std::endl;
 | 
						|
}
 | 
						|
</pre>
 | 
						|
<h4>Definition</h4>
 | 
						|
<p>Defined in the header matrix.hpp.</p>
 | 
						|
<h4>Template parameters</h4>
 | 
						|
<table border="1" summary="parameters">
 | 
						|
<tbody>
 | 
						|
<tr>
 | 
						|
<th>Parameter</th>
 | 
						|
<th>Description</th>
 | 
						|
<th>Default</th>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>T</code></td>
 | 
						|
<td>The type of object stored in the matrix.</td>
 | 
						|
<td><code>int</code></td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>ALLOC</code></td>
 | 
						|
<td>An STL Allocator for size_type and difference_type.</td>
 | 
						|
<td>std::allocator</td>
 | 
						|
</tr>
 | 
						|
</tbody>
 | 
						|
</table>
 | 
						|
<h4>Model of</h4>
 | 
						|
<p><a href="container_concept.html#matrix">Matrix</a> .</p>
 | 
						|
<h4>Type requirements</h4>
 | 
						|
<p>None, except for those imposed by the requirements of
 | 
						|
<a href="container_concept.html#matrix">Matrix</a> .</p>
 | 
						|
<h4>Public base classes</h4>
 | 
						|
<p><code>matrix_container<identity_matrix<T>
 | 
						|
></code></p>
 | 
						|
<h4>Members</h4>
 | 
						|
<table border="1" summary="members">
 | 
						|
<tbody>
 | 
						|
<tr>
 | 
						|
<th>Member</th>
 | 
						|
<th>Description</th>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>identity_matrix ()</code></td>
 | 
						|
<td>Constructs an <code>identity_matrix</code> that holds zero rows
 | 
						|
of zero elements.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>identity_matrix (size_type size)</code></td>
 | 
						|
<td>Constructs an <code>identity_matrix</code> that holds
 | 
						|
<code>size</code> rows of <code>size</code> elements.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>identity_matrix (const identity_matrix
 | 
						|
&m)</code></td>
 | 
						|
<td>The copy constructor.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>void resize (size_type size, bool preserve =
 | 
						|
true)</code></td>
 | 
						|
<td>Resizes a <code>identity_matrix</code> to hold
 | 
						|
<code>size</code> rows of <code>size</code> elements. Therefore the
 | 
						|
existing elements of the <code>itendity_matrix</code> are always
 | 
						|
preseved.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>size_type size1 () const</code></td>
 | 
						|
<td>Returns the number of rows.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>size_type size2 () const</code></td>
 | 
						|
<td>Returns the number of columns.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_reference operator () (size_type i, size_type j)
 | 
						|
const</code></td>
 | 
						|
<td>Returns the value of the <code>j</code>-th element in the
 | 
						|
<code>i</code>-th row.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>identity_matrix &operator = (const identity_matrix
 | 
						|
&m)</code></td>
 | 
						|
<td>The assignment operator.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>identity_matrix &assign_temporary (identity_matrix
 | 
						|
&m)</code></td>
 | 
						|
<td>Assigns a temporary. May change the identity matrix
 | 
						|
<code>m</code> .</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>void swap (identity_matrix &m)</code></td>
 | 
						|
<td>Swaps the contents of the identity matrices.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_iterator1 begin1 () const</code></td>
 | 
						|
<td>Returns a <code>const_iterator1</code> pointing to the
 | 
						|
beginning of the <code>identity_matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_iterator1 end1 () const</code></td>
 | 
						|
<td>Returns a <code>const_iterator1</code> pointing to the end of
 | 
						|
the <code>identity_matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_iterator2 begin2 () const</code></td>
 | 
						|
<td>Returns a <code>const_iterator2</code> pointing to the
 | 
						|
beginning of the <code>identity_matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_iterator2 end2 () const</code></td>
 | 
						|
<td>Returns a <code>const_iterator2</code> pointing to the end of
 | 
						|
the <code>identity_matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_reverse_iterator1 rbegin1 () const</code></td>
 | 
						|
<td>Returns a <code>const_reverse_iterator1</code> pointing to the
 | 
						|
beginning of the reversed <code>identity_matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_reverse_iterator1 rend1 () const</code></td>
 | 
						|
<td>Returns a <code>const_reverse_iterator1</code> pointing to the
 | 
						|
end of the reversed <code>identity_matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_reverse_iterator2 rbegin2 () const</code></td>
 | 
						|
<td>Returns a <code>const_reverse_iterator2</code> pointing to the
 | 
						|
beginning of the reversed <code>identity_matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_reverse_iterator2 rend2 () const</code></td>
 | 
						|
<td>Returns a <code>const_reverse_iterator2</code> pointing to the
 | 
						|
end of the reversed <code>identity_matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
</tbody>
 | 
						|
</table>
 | 
						|
<h2><a name="zero_matrix"></a>Zero Matrix</h2>
 | 
						|
<h4>Description</h4>
 | 
						|
<p>The templated class <code>zero_matrix<T, ALLOC></code> represents
 | 
						|
zero matrices. For a <em>(m x n</em>)-dimensional zero matrix and
 | 
						|
<em>0 <= i < m</em>, <em>0 <= j < n</em> holds
 | 
						|
<em>z</em><sub><em>i, j</em></sub> <em>= 0</em>.</p>
 | 
						|
<h4>Example</h4>
 | 
						|
<pre>
 | 
						|
#include <boost/numeric/ublas/matrix.hpp>
 | 
						|
#include <boost/numeric/ublas/io.hpp>
 | 
						|
 | 
						|
int main () {
 | 
						|
    using namespace boost::numeric::ublas;
 | 
						|
    zero_matrix<double> m (3, 3);
 | 
						|
    std::cout << m << std::endl;
 | 
						|
}
 | 
						|
</pre>
 | 
						|
<h4>Definition</h4>
 | 
						|
<p>Defined in the header matrix.hpp.</p>
 | 
						|
<h4>Template parameters</h4>
 | 
						|
<table border="1" summary="parameters">
 | 
						|
<tbody>
 | 
						|
<tr>
 | 
						|
<th>Parameter</th>
 | 
						|
<th>Description</th>
 | 
						|
<th>Default</th>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>T</code></td>
 | 
						|
<td>The type of object stored in the matrix.</td>
 | 
						|
<td><code>int</code></td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>ALLOC</code></td>
 | 
						|
<td>An STL Allocator for size_type and difference_type.</td>
 | 
						|
<td>std::allocator</td>
 | 
						|
</tr>
 | 
						|
</tbody>
 | 
						|
</table>
 | 
						|
<h4>Model of</h4>
 | 
						|
<p><a href="container_concept.html#matrix">Matrix</a> .</p>
 | 
						|
<h4>Type requirements</h4>
 | 
						|
<p>None, except for those imposed by the requirements of
 | 
						|
<a href="container_concept.html#matrix">Matrix</a> .</p>
 | 
						|
<h4>Public base classes</h4>
 | 
						|
<p><code>matrix_container<zero_matrix<T> ></code></p>
 | 
						|
<h4>Members</h4>
 | 
						|
<table border="1" summary="members">
 | 
						|
<tbody>
 | 
						|
<tr>
 | 
						|
<th>Member</th>
 | 
						|
<th>Description</th>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>zero_matrix ()</code></td>
 | 
						|
<td>Constructs a <code>zero_matrix</code> that holds zero rows of
 | 
						|
zero elements.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>zero_matrix (size_type size1, size_type
 | 
						|
size2)</code></td>
 | 
						|
<td>Constructs a <code>zero_matrix</code> that holds
 | 
						|
<code>size1</code> rows of <code>size2</code> elements.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>zero_matrix (const zero_matrix &m)</code></td>
 | 
						|
<td>The copy constructor.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>void resize (size_type size1, size_type size2, bool
 | 
						|
preserve = true)</code></td>
 | 
						|
<td>Resizes a <code>zero_matrix</code> to hold <code>size1</code>
 | 
						|
rows of <code>size2</code> elements. Therefore the existing
 | 
						|
elements of the <code>zero_matrix</code> are always preseved.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>size_type size1 () const</code></td>
 | 
						|
<td>Returns the number of rows.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>size_type size2 () const</code></td>
 | 
						|
<td>Returns the number of columns.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_reference operator () (size_type i, size_type j)
 | 
						|
const</code></td>
 | 
						|
<td>Returns the value of the <code>j</code>-th element in the
 | 
						|
<code>i</code>-th row.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>zero_matrix &operator = (const zero_matrix
 | 
						|
&m)</code></td>
 | 
						|
<td>The assignment operator.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>zero_matrix &assign_temporary (zero_matrix
 | 
						|
&m)</code></td>
 | 
						|
<td>Assigns a temporary. May change the zero matrix <code>m</code>
 | 
						|
.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>void swap (zero_matrix &m)</code></td>
 | 
						|
<td>Swaps the contents of the zero matrices.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_iterator1 begin1 () const</code></td>
 | 
						|
<td>Returns a <code>const_iterator1</code> pointing to the
 | 
						|
beginning of the <code>zero_matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_iterator1 end1 () const</code></td>
 | 
						|
<td>Returns a <code>const_iterator1</code> pointing to the end of
 | 
						|
the <code>zero_matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_iterator2 begin2 () const</code></td>
 | 
						|
<td>Returns a <code>const_iterator2</code> pointing to the
 | 
						|
beginning of the <code>zero_matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_iterator2 end2 () const</code></td>
 | 
						|
<td>Returns a <code>const_iterator2</code> pointing to the end of
 | 
						|
the <code>zero_matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_reverse_iterator1 rbegin1 () const</code></td>
 | 
						|
<td>Returns a <code>const_reverse_iterator1</code> pointing to the
 | 
						|
beginning of the reversed <code>zero_matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_reverse_iterator1 rend1 () const</code></td>
 | 
						|
<td>Returns a <code>const_reverse_iterator1</code> pointing to the
 | 
						|
end of the reversed <code>zero_matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_reverse_iterator2 rbegin2 () const</code></td>
 | 
						|
<td>Returns a <code>const_reverse_iterator2</code> pointing to the
 | 
						|
beginning of the reversed <code>zero_matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_reverse_iterator2 rend2 () const</code></td>
 | 
						|
<td>Returns a <code>const_reverse_iterator2</code> pointing to the
 | 
						|
end of the reversed <code>zero_matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
</tbody>
 | 
						|
</table>
 | 
						|
<h2><a name="scalar_matrix"></a>Scalar Matrix</h2>
 | 
						|
<h4>Description</h4>
 | 
						|
<p>The templated class <code>scalar_matrix<T, ALLOC></code>
 | 
						|
represents scalar matrices. For a <em>(m x n</em>)-dimensional
 | 
						|
scalar matrix and <em>0 <= i < m</em>, <em>0 <= j <
 | 
						|
n</em> holds <em>z</em><sub><em>i, j</em></sub> <em>= s</em>.</p>
 | 
						|
<h4>Example</h4>
 | 
						|
<pre>
 | 
						|
#include <boost/numeric/ublas/matrix.hpp>
 | 
						|
#include <boost/numeric/ublas/io.hpp>
 | 
						|
 | 
						|
int main () {
 | 
						|
    using namespace boost::numeric::ublas;
 | 
						|
    scalar_matrix<double> m (3, 3);
 | 
						|
    std::cout << m << std::endl;
 | 
						|
}
 | 
						|
</pre>
 | 
						|
<h4>Definition</h4>
 | 
						|
<p>Defined in the header matrix.hpp.</p>
 | 
						|
<h4>Template parameters</h4>
 | 
						|
<table border="1" summary="parameters">
 | 
						|
<tbody>
 | 
						|
<tr>
 | 
						|
<th>Parameter</th>
 | 
						|
<th>Description</th>
 | 
						|
<th>Default</th>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>T</code></td>
 | 
						|
<td>The type of object stored in the matrix.</td>
 | 
						|
<td><code>int</code></td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>ALLOC</code></td>
 | 
						|
<td>An STL Allocator for size_type and difference_type.</td>
 | 
						|
<td>std::allocator</td>
 | 
						|
</tr>
 | 
						|
</tbody>
 | 
						|
</table>
 | 
						|
<h4>Model of</h4>
 | 
						|
<p><a href="container_concept.html#matrix">Matrix</a> .</p>
 | 
						|
<h4>Type requirements</h4>
 | 
						|
<p>None, except for those imposed by the requirements of
 | 
						|
<a href="container_concept.html#matrix">Matrix</a> .</p>
 | 
						|
<h4>Public base classes</h4>
 | 
						|
<p><code>matrix_container<scalar_matrix<T>
 | 
						|
></code></p>
 | 
						|
<h4>Members</h4>
 | 
						|
<table border="1" summary="members">
 | 
						|
<tbody>
 | 
						|
<tr>
 | 
						|
<th>Member</th>
 | 
						|
<th>Description</th>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>scalar_matrix ()</code></td>
 | 
						|
<td>Constructs a <code>scalar_matrix</code> that holds scalar rows
 | 
						|
of zero elements.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>scalar_matrix (size_type size1, size_type size2, const
 | 
						|
value_type &value)</code></td>
 | 
						|
<td>Constructs a <code>scalar_matrix</code> that holds
 | 
						|
<code>size1</code> rows of <code>size2</code> elements each of the
 | 
						|
specified value.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>scalar_matrix (const scalar_matrix &m)</code></td>
 | 
						|
<td>The copy constructor.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>void resize (size_type size1, size_type size2, bool
 | 
						|
preserve = true)</code></td>
 | 
						|
<td>Resizes a <code>scalar_matrix</code> to hold <code>size1</code>
 | 
						|
rows of <code>size2</code> elements. Therefore the existing
 | 
						|
elements of the <code>scalar_matrix</code> are always
 | 
						|
preseved.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>size_type size1 () const</code></td>
 | 
						|
<td>Returns the number of rows.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>size_type size2 () const</code></td>
 | 
						|
<td>Returns the number of columns.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_reference operator () (size_type i, size_type j)
 | 
						|
const</code></td>
 | 
						|
<td>Returns the value of the <code>j</code>-th element in the
 | 
						|
<code>i</code>-th row.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>scalar_matrix &operator = (const scalar_matrix
 | 
						|
&m)</code></td>
 | 
						|
<td>The assignment operator.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>scalar_matrix &assign_temporary (scalar_matrix
 | 
						|
&m)</code></td>
 | 
						|
<td>Assigns a temporary. May change the scalar matrix
 | 
						|
<code>m</code> .</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>void swap (scalar_matrix &m)</code></td>
 | 
						|
<td>Swaps the contents of the scalar matrices.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_iterator1 begin1 () const</code></td>
 | 
						|
<td>Returns a <code>const_iterator1</code> pointing to the
 | 
						|
beginning of the <code>scalar_matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_iterator1 end1 () const</code></td>
 | 
						|
<td>Returns a <code>const_iterator1</code> pointing to the end of
 | 
						|
the <code>scalar_matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_iterator2 begin2 () const</code></td>
 | 
						|
<td>Returns a <code>const_iterator2</code> pointing to the
 | 
						|
beginning of the <code>scalar_matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_iterator2 end2 () const</code></td>
 | 
						|
<td>Returns a <code>const_iterator2</code> pointing to the end of
 | 
						|
the <code>scalar_matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_reverse_iterator1 rbegin1 () const</code></td>
 | 
						|
<td>Returns a <code>const_reverse_iterator1</code> pointing to the
 | 
						|
beginning of the reversed <code>scalar_matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_reverse_iterator1 rend1 () const</code></td>
 | 
						|
<td>Returns a <code>const_reverse_iterator1</code> pointing to the
 | 
						|
end of the reversed <code>scalar_matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_reverse_iterator2 rbegin2 () const</code></td>
 | 
						|
<td>Returns a <code>const_reverse_iterator2</code> pointing to the
 | 
						|
beginning of the reversed <code>scalar_matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
<tr>
 | 
						|
<td><code>const_reverse_iterator2 rend2 () const</code></td>
 | 
						|
<td>Returns a <code>const_reverse_iterator2</code> pointing to the
 | 
						|
end of the reversed <code>scalar_matrix</code>.</td>
 | 
						|
</tr>
 | 
						|
</tbody>
 | 
						|
</table>
 | 
						|
<hr />
 | 
						|
<p>Copyright (©) 2000-2002 Joerg Walter, Mathias Koch<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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 | 
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