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769 lines
23 KiB
HTML
769 lines
23 KiB
HTML
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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=
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"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">
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<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>
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<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>
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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>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>
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<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>
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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>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>
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<td><code>template<class AE><br />
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matrix &minus_assign (const matrix_expression<AE>
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&ae)</code></td>
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<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>
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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. 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>
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<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>
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</tr>
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<tr>
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<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>
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<td><code>void clear ()</code></td>
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<td>Clears the matrix.</td>
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</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>
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</tr>
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<tr>
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<td><code>const_iterator1 end1 () const</code></td>
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<td>Returns a <code>const_iterator1</code> pointing to the end of
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the <code>matrix</code>.</td>
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</tr>
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<tr>
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<td><code>iterator1 begin1 ()</code></td>
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<td>Returns a <code>iterator1</code> pointing to the beginning of
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the <code>matrix</code>.</td>
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</tr>
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<tr>
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<td><code>iterator1 end1 ()</code></td>
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<td>Returns a <code>iterator1</code> pointing to the end of the
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<code>matrix</code>.</td>
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</tr>
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<tr>
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<td><code>const_iterator2 begin2 () const</code></td>
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<td>Returns a <code>const_iterator2</code> pointing to the
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beginning of the <code>matrix</code>.</td>
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</tr>
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<tr>
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<td><code>const_iterator2 end2 () const</code></td>
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<td>Returns a <code>const_iterator2</code> pointing to the end of
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the <code>matrix</code>.</td>
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</tr>
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<tr>
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<td><code>iterator2 begin2 ()</code></td>
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<td>Returns a <code>iterator2</code> pointing to the beginning of
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the <code>matrix</code>.</td>
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</tr>
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<tr>
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<td><code>iterator2 end2 ()</code></td>
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<td>Returns a <code>iterator2</code> pointing to the end of the
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<code>matrix</code>.</td>
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</tr>
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<tr>
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<td><code>const_reverse_iterator1 rbegin1 () const</code></td>
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<td>Returns a <code>const_reverse_iterator1</code> pointing to the
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beginning of the reversed <code>matrix</code>.</td>
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</tr>
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<tr>
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<td><code>const_reverse_iterator1 rend1 () const</code></td>
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<td>Returns a <code>const_reverse_iterator1</code> pointing to the
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end of the reversed <code>matrix</code>.</td>
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</tr>
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<tr>
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<td><code>reverse_iterator1 rbegin1 ()</code></td>
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<td>Returns a <code>reverse_iterator1</code> pointing to the
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beginning of the reversed <code>matrix</code>.</td>
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</tr>
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<tr>
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<td><code>reverse_iterator1 rend1 ()</code></td>
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<td>Returns a <code>reverse_iterator1</code> pointing to the end of
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the reversed <code>matrix</code>.</td>
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</tr>
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<tr>
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<td><code>const_reverse_iterator2 rbegin2 () const</code></td>
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<td>Returns a <code>const_reverse_iterator2</code> pointing to the
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beginning of the reversed <code>matrix</code>.</td>
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</tr>
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<tr>
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<td><code>const_reverse_iterator2 rend2 () const</code></td>
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<td>Returns a <code>const_reverse_iterator2</code> pointing to the
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end of the reversed <code>matrix</code>.</td>
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</tr>
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<tr>
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<td><code>reverse_iterator2 rbegin2 ()</code></td>
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<td>Returns a <code>reverse_iterator2</code> pointing to the
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beginning of the reversed <code>matrix</code>.</td>
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</tr>
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<tr>
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<td><code>reverse_iterator2 rend2 ()</code></td>
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<td>Returns a <code>reverse_iterator2</code> pointing to the end of
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the reversed <code>matrix</code>.</td>
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</tr>
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</tbody>
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|
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</table>
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<h4>Notes</h4>
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|
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<p><a name="matrix_1">[1]</a> Supported parameters
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|
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for the storage organization are <code>row_major</code> and
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<code>column_major</code>.</p>
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|
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<p><a name="matrix_2">[2]</a> Common parameters
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|
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for the storage array are <code>unbounded_array<T></code> ,
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<code>bounded_array<T></code> and
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<code>std::vector<T></code> .</p>
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|
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<h2><a name="identity_matrix"></a>Identity Matrix</h2>
|
||
|
|
<h4>Description</h4>
|
||
|
|
<p>The templated class <code>identity_matrix<T, ALLOC></code>
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|
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represents identity matrices. For a <em>(m x n</em>)-dimensional
|
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|
|
identity matrix and <em>0 <= i < m</em>, <em>0 <= j <
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n</em> holds <em>id</em><sub><em>i, j</em></sub> <em>= 0</em>, if
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<em>i <> j</em>, and <em>id</em><sub><em>i, i</em></sub><em>=
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1</em>.</p>
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||
|
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<h4>Example</h4>
|
||
|
|
<pre>
|
||
|
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#include <boost/numeric/ublas/matrix.hpp>
|
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|
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#include <boost/numeric/ublas/io.hpp>
|
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|
|
|
||
|
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int main () {
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|
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using namespace boost::numeric::ublas;
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|
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identity_matrix<double> m (3);
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|
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std::cout << m << std::endl;
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}
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|
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</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>
|
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|
<td><code>scalar_matrix (const scalar_matrix &m)</code></td>
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|
<td>The copy constructor.</td>
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||
|
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</tr>
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||
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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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||
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<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>
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||
|
|
</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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|
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