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1429 lines
46 KiB
HTML
1429 lines
46 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 Proxies</title>
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</head>
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<body>
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<h1><img src="../../../../boost.png" align="middle" />Matrix Proxies</h1>
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<div class="toc" id="toc"></div>
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<h2><a name="matrix_row"></a>Matrix Row</h2>
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<h4>Description</h4>
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<p>The templated class <code>matrix_row<M></code> allows
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addressing a row of a matrix.</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/matrix_proxy.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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matrix_row<matrix<double> > mr (m, i);
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for (unsigned j = 0; j < mr.size (); ++ j)
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mr (j) = 3 * i + j;
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std::cout << mr << std::endl;
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}
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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_proxy.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>M</code></td>
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<td>The type of matrix referenced.</td>
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<td></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="expression_concept.html#vector_expression">Vector Expression</a>
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.</p>
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<p>If the specified row falls outside that of the row index range
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of the matrix, then the <code>matrix_row</code> is not a well
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formed Vector Expression. That is, access to an element which is
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outside of the matrix is <i>undefined</i>.</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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"expression_concept.html#vector_expression">Vector Expression</a> .</p>
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<h4>Public base classes</h4>
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<p><code>vector_expression<matrix_row<M> ></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_row (matrix_type &data, size_type
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i)</code></td>
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<td>Constructs a sub vector.</td>
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</tr>
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<tr>
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<td><code>size_type size () const</code></td>
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<td>Returns the size of the sub vector.</td>
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</tr>
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<tr>
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<td><code>const_reference operator () (size_type i)
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const</code></td>
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<td>Returns the value of the <code>i</code>-th element.</td>
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</tr>
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<tr>
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<td><code>reference operator () (size_type i)</code></td>
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<td>Returns a reference of the <code>i</code>-th element.</td>
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</tr>
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<tr>
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<td><code>matrix_row &operator = (const matrix_row
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&mr)</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_row &assign_temporary (matrix_row
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&mr)</code></td>
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<td>Assigns a temporary. May change the matrix row <code>mr</code>
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.</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_row &operator = (const vector_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_row &assign (const vector_expression<AE>
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&ae)</code></td>
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<td>Assigns a vector expression to the sub vector. 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 AE><br />
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matrix_row &operator += (const vector_expression<AE>
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&ae)</code></td>
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<td>A computed assignment operator. Adds the vector expression to
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the sub vector.</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_row &plus_assign (const vector_expression<AE>
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&ae)</code></td>
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<td>Adds a vector expression to the sub vector. 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_row &operator -= (const vector_expression<AE>
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&ae)</code></td>
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<td>A computed assignment operator. Subtracts the vector expression
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from the sub vector.</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_row &minus_assign (const vector_expression<AE>
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&ae)</code></td>
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<td>Subtracts a vector expression from the sub vector. Left and
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right 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_row &operator *= (const AT &at)</code></td>
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<td>A computed assignment operator. Multiplies the sub vector with
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a 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_row &operator /= (const AT &at)</code></td>
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<td>A computed assignment operator. Divides the sub vector through
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a scalar.</td>
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</tr>
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<tr>
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<td><code>void swap (matrix_row &mr)</code></td>
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<td>Swaps the contents of the sub vectors.</td>
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</tr>
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<tr>
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<td><code>const_iterator begin () const</code></td>
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<td>Returns a <code>const_iterator</code> pointing to the beginning
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of the <code>matrix_row</code>.</td>
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</tr>
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<tr>
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<td><code>const_iterator end () const</code></td>
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<td>Returns a <code>const_iterator</code> pointing to the end of
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the <code>matrix_row</code>.</td>
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</tr>
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<tr>
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<td><code>iterator begin ()</code></td>
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<td>Returns a <code>iterator</code> pointing to the beginning of
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the <code>matrix_row</code>.</td>
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</tr>
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<tr>
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<td><code>iterator end ()</code></td>
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<td>Returns a <code>iterator</code> pointing to the end of the
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<code>matrix_row</code>.</td>
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</tr>
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<tr>
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<td><code>const_reverse_iterator rbegin () const</code></td>
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<td>Returns a <code>const_reverse_iterator</code> pointing to the
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beginning of the reversed <code>matrix_row</code>.</td>
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</tr>
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<tr>
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<td><code>const_reverse_iterator rend () const</code></td>
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<td>Returns a <code>const_reverse_iterator</code> pointing to the
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end of the reversed <code>matrix_row</code>.</td>
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</tr>
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<tr>
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<td><code>reverse_iterator rbegin ()</code></td>
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<td>Returns a <code>reverse_iterator</code> pointing to the
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beginning of the reversed <code>matrix_row</code>.</td>
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</tr>
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<tr>
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<td><code>reverse_iterator rend ()</code></td>
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<td>Returns a <code>reverse_iterator</code> pointing to the end of
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the reversed <code>matrix_row</code>.</td>
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</tr>
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</tbody>
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</table>
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<h3>Projections</h3>
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<h4>Description</h4>
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<p>The free <code>row</code> functions support the construction of
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matrix rows.</p>
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<h4>Prototypes</h4>
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<pre><code>
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template<class M>
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matrix_row<M> row (M &data, std::size_t i);
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template<class M>
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const matrix_row<const M> row (const M &data, std::size_t i);
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</code></pre>
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<h4>Definition</h4>
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<p>Defined in the header matrix_proxy.hpp.</p>
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<h4>Type requirements</h4>
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<ul>
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<li><code>M</code> is a model of <a href=
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"expression_concept.html#matrix_expression">Matrix Expression</a> .</li>
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</ul>
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<h4>Complexity</h4>
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<p>Linear depending from the size of the row.</p>
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<h4>Examples</h4>
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<pre>
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#include <boost/numeric/ublas/matrix.hpp>
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#include <boost/numeric/ublas/matrix_proxy.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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row (m, i) (j) = 3 * i + j;
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std::cout << row (m, i) << std::endl;
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}
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}
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</pre>
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<h2><a name="matrix_column"></a>Matrix Column</h2>
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<h4>Description</h4>
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<p>The templated class <code>matrix_column<M></code> allows
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addressing a column of a matrix.</p>
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<h4>Example</h4>
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||
|
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<pre>
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#include <boost/numeric/ublas/matrix.hpp>
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#include <boost/numeric/ublas/matrix_proxy.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 j = 0; j < m.size2 (); ++ j) {
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matrix_column<matrix<double> > mc (m, j);
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for (unsigned i = 0; i < mc.size (); ++ i)
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mc (i) = 3 * i + j;
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std::cout << mc << std::endl;
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}
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}
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</pre>
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<h4>Definition</h4>
|
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|
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<p>Defined in the header matrix_proxy.hpp.</p>
|
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<h4>Template parameters</h4>
|
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<table border="1" summary="parameters">
|
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|
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<tbody>
|
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|
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<tr>
|
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|
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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>M</code></td>
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<td>The type of matrix referenced.</td>
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<td></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="expression_concept.html#vector_expression">Vector Expression</a>
|
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|
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.</p>
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<p>If the specified column falls outside that of the column index
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|
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range of the matrix, then the <code>matrix_column</code> is not a
|
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well formed Vector Expression. That is, access to an element which
|
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is outside of the matrix is <i>undefined</i>.</p>
|
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|
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<h4>Type requirements</h4>
|
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|
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<p>None, except for those imposed by the requirements of <a href=
|
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|
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"expression_concept.html#vector_expression">Vector Expression</a> .</p>
|
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<h4>Public base classes</h4>
|
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<p><code>vector_expression<matrix_column<M>
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></code></p>
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<h4>Members</h4>
|
||
|
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<table border="1" summary="members">
|
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|
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<tbody>
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|
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<tr>
|
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<th>Member</th>
|
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|
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<th>Description</th>
|
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|
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</tr>
|
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|
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<tr>
|
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<td><code>matrix_column (matrix_type &data, size_type
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j)</code></td>
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<td>Constructs a sub vector.</td>
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</tr>
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<tr>
|
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<td><code>size_type size () const</code></td>
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<td>Returns the size of the sub vector.</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>const_reference operator () (size_type i)
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|
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const</code></td>
|
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|
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<td>Returns the value of the <code>i</code>-th element.</td>
|
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|
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</tr>
|
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|
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<tr>
|
||
|
|
<td><code>reference operator () (size_type i)</code></td>
|
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|
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<td>Returns a reference of the <code>i</code>-th element.</td>
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|
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</tr>
|
||
|
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<tr>
|
||
|
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<td><code>matrix_column &operator = (const matrix_column
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&mc)</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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|
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<td><code>matrix_column &assign_temporary (matrix_column
|
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&mc)</code></td>
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<td>Assigns a temporary. May change the matrix column
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<code>mc</code> .</td>
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</tr>
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||
|
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<tr>
|
||
|
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<td><code>template<class AE><br />
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matrix_column &operator = (const vector_expression<AE>
|
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|
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&ae)</code></td>
|
||
|
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<td>The extended assignment operator.</td>
|
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|
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</tr>
|
||
|
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<tr>
|
||
|
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<td><code>template<class AE><br />
|
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|
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matrix_column &assign (const vector_expression<AE>
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|
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&ae)</code></td>
|
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|
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<td>Assigns a vector expression to the sub vector. Left and right
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||
|
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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 AE><br />
|
||
|
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matrix_column &operator += (const vector_expression<AE>
|
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|
|
&ae)</code></td>
|
||
|
|
<td>A computed assignment operator. Adds the vector expression to
|
||
|
|
the sub vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_column &plus_assign (const vector_expression<AE>
|
||
|
|
&ae)</code></td>
|
||
|
|
<td>Adds a vector expression to the sub vector. Left and right hand
|
||
|
|
side of the assignment should be independent.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_column &operator -= (const vector_expression<AE>
|
||
|
|
&ae)</code></td>
|
||
|
|
<td>A computed assignment operator. Subtracts the vector expression
|
||
|
|
from the sub vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_column &minus_assign (const vector_expression<AE>
|
||
|
|
&ae)</code></td>
|
||
|
|
<td>Subtracts a vector expression from the sub vector. Left and
|
||
|
|
right hand side of the assignment should be independent.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AT><br />
|
||
|
|
matrix_column &operator *= (const AT &at)</code></td>
|
||
|
|
<td>A computed assignment operator. Multiplies the sub vector with
|
||
|
|
a scalar.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AT><br />
|
||
|
|
matrix_column &operator /= (const AT &at)</code></td>
|
||
|
|
<td>A computed assignment operator. Divides the sub vector through
|
||
|
|
a scalar.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>void swap (matrix_column &mc)</code></td>
|
||
|
|
<td>Swaps the contents of the sub vectors.</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>matrix_column</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>matrix_column</code>.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>iterator begin ()</code></td>
|
||
|
|
<td>Returns a <code>iterator</code> pointing to the beginning of
|
||
|
|
the <code>matrix_column</code>.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>iterator end ()</code></td>
|
||
|
|
<td>Returns a <code>iterator</code> pointing to the end of the
|
||
|
|
<code>matrix_column</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>matrix_column</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>matrix_column</code>.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>reverse_iterator rbegin ()</code></td>
|
||
|
|
<td>Returns a <code>reverse_iterator</code> pointing to the
|
||
|
|
beginning of the reversed <code>matrix_column</code>.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>reverse_iterator rend ()</code></td>
|
||
|
|
<td>Returns a <code>reverse_iterator</code> pointing to the end of
|
||
|
|
the reversed <code>matrix_column</code>.</td>
|
||
|
|
</tr>
|
||
|
|
</tbody>
|
||
|
|
</table>
|
||
|
|
<h3>Projections</h3>
|
||
|
|
<h4>Description</h4>
|
||
|
|
<p>The free <code>column</code> functions support the construction
|
||
|
|
of matrix columns.</p>
|
||
|
|
<h4>Prototypes</h4>
|
||
|
|
<pre><code>
|
||
|
|
template<class M>
|
||
|
|
matrix_column<M> column (M &data, std::size_t j);
|
||
|
|
template<class M>
|
||
|
|
const matrix_column<const M> column (const M &data, std::size_t j);
|
||
|
|
</code></pre>
|
||
|
|
<h4>Definition</h4>
|
||
|
|
<p>Defined in the header matrix_proxy.hpp.</p>
|
||
|
|
<h4>Type requirements</h4>
|
||
|
|
<ul>
|
||
|
|
<li><code>M</code> is a model of <a href=
|
||
|
|
"expression_concept.html#matrix_expression">Matrix Expression</a> .</li>
|
||
|
|
</ul>
|
||
|
|
<h4>Complexity</h4>
|
||
|
|
<p>Linear depending from the size of the column.</p>
|
||
|
|
<h4>Examples</h4>
|
||
|
|
<pre>
|
||
|
|
#include <boost/numeric/ublas/matrix.hpp>
|
||
|
|
#include <boost/numeric/ublas/matrix_proxy.hpp>
|
||
|
|
#include <boost/numeric/ublas/io.hpp>
|
||
|
|
|
||
|
|
int main () {
|
||
|
|
using namespace boost::numeric::ublas;
|
||
|
|
matrix<double> m (3, 3);
|
||
|
|
for (unsigned j = 0; j < m.size2 (); ++ j) {
|
||
|
|
for (unsigned i = 0; i < m.size1 (); ++ i)
|
||
|
|
column (m, j) (i) = 3 * i + j;
|
||
|
|
std::cout << column (m, j) << std::endl;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
</pre>
|
||
|
|
<h2><a name="vector_range"></a>Vector Range</h2>
|
||
|
|
<h4>Description</h4>
|
||
|
|
<p>The templated class <code>matrix_vector_range<M></code>
|
||
|
|
allows addressing a sub vector of a matrix.</p>
|
||
|
|
<h4>Example</h4>
|
||
|
|
<pre>
|
||
|
|
#include <boost/numeric/ublas/matrix.hpp>
|
||
|
|
#include <boost/numeric/ublas/matrix_proxy.hpp>
|
||
|
|
#include <boost/numeric/ublas/io.hpp>
|
||
|
|
|
||
|
|
int main () {
|
||
|
|
using namespace boost::numeric::ublas;
|
||
|
|
matrix<double> m (3, 3);
|
||
|
|
for (unsigned i = 0; i < m.size1 (); ++ i)
|
||
|
|
for (unsigned j = 0; j < m.size2 (); ++ j)
|
||
|
|
m (i, j) = 3 * i + j;
|
||
|
|
|
||
|
|
matrix_vector_range<matrix<double> > mvr (m, range (0, 3), range (0, 3));
|
||
|
|
std::cout << mvr << std::endl;
|
||
|
|
}
|
||
|
|
</pre>
|
||
|
|
<h4>Definition</h4>
|
||
|
|
<p>Defined in the header matrix_proxy.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>M</code></td>
|
||
|
|
<td>The type of matrix referenced.</td>
|
||
|
|
<td></td>
|
||
|
|
</tr>
|
||
|
|
</tbody>
|
||
|
|
</table>
|
||
|
|
<h4>Model of</h4>
|
||
|
|
<p><a href="expression_concept.html#vector_expression">Vector Expression</a>
|
||
|
|
.</p>
|
||
|
|
<p>If the specified ranges fall outside that of the index range of
|
||
|
|
the matrix, then the <code>matrix_vector_range</code> is not a well
|
||
|
|
formed Vector Expression. That is, access to an element which is
|
||
|
|
outside of the matrix is <i>undefined</i>.</p>
|
||
|
|
<h4>Type requirements</h4>
|
||
|
|
<p>None, except for those imposed by the requirements of <a href=
|
||
|
|
"expression_concept.html#vector_expression">Vector Expression</a> .</p>
|
||
|
|
<h4>Public base classes</h4>
|
||
|
|
<p><code>vector_expression<matrix_vector_range<M>
|
||
|
|
></code></p>
|
||
|
|
<h4>Members</h4>
|
||
|
|
<table border="1" summary="members">
|
||
|
|
<tbody>
|
||
|
|
<tr>
|
||
|
|
<th>Member</th>
|
||
|
|
<th>Description</th>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>matrix_vector_range (matrix_type &data,<br />
|
||
|
|
const range &r1, const range &r2)</code></td>
|
||
|
|
<td>Constructs a sub vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>size_type size () const</code></td>
|
||
|
|
<td>Returns the size of the sub vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>const_reference operator () (size_type i)
|
||
|
|
const</code></td>
|
||
|
|
<td>Returns the value of the <code>i</code>-th element.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>reference operator () (size_type i)</code></td>
|
||
|
|
<td>Returns a reference of the <code>i</code>-th element.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>matrix_vector_range &operator = (const
|
||
|
|
matrix_vector_range &mvr)</code></td>
|
||
|
|
<td>The assignment operator.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>matrix_vector_range &assign_temporary
|
||
|
|
(matrix_vector_range &mvr)</code></td>
|
||
|
|
<td>Assigns a temporary. May change the matrix vector range
|
||
|
|
<code>mvr</code>.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_vector_range &operator = (const
|
||
|
|
vector_expression<AE> &ae)</code></td>
|
||
|
|
<td>The extended assignment operator.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_vector_range &assign (const vector_expression<AE>
|
||
|
|
&ae)</code></td>
|
||
|
|
<td>Assigns a vector expression to the sub vector. Left and right
|
||
|
|
hand side of the assignment should be independent.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_vector_range &operator += (const
|
||
|
|
vector_expression<AE> &ae)</code></td>
|
||
|
|
<td>A computed assignment operator. Adds the vector expression to
|
||
|
|
the sub vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_vector_range &plus_assign (const
|
||
|
|
vector_expression<AE> &ae)</code></td>
|
||
|
|
<td>Adds a vector expression to the sub vector. Left and right hand
|
||
|
|
side of the assignment should be independent.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_vector_range &operator -= (const
|
||
|
|
vector_expression<AE> &ae)</code></td>
|
||
|
|
<td>A computed assignment operator. Subtracts the vector expression
|
||
|
|
from the sub vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_vector_range &minus_assign (const
|
||
|
|
vector_expression<AE> &ae)</code></td>
|
||
|
|
<td>Subtracts a vector expression from the sub vector. Left and
|
||
|
|
right hand side of the assignment should be independent.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AT><br />
|
||
|
|
matrix_vector_range &operator *= (const AT &at)</code></td>
|
||
|
|
<td>A computed assignment operator. Multiplies the sub vector with
|
||
|
|
a scalar.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AT><br />
|
||
|
|
matrix_vector_range &operator /= (const AT &at)</code></td>
|
||
|
|
<td>A computed assignment operator. Divides the sub vector through
|
||
|
|
a scalar.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>void swap (matrix_vector_range &mvr)</code></td>
|
||
|
|
<td>Swaps the contents of the sub vectors.</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>matrix_vector_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>matrix_vector_range</code>.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>iterator begin ()</code></td>
|
||
|
|
<td>Returns a <code>iterator</code> pointing to the beginning of
|
||
|
|
the <code>matrix_vector_range</code>.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>iterator end ()</code></td>
|
||
|
|
<td>Returns a <code>iterator</code> pointing to the end of the
|
||
|
|
<code>matrix_vector_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 <code>matrix_vector_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>matrix_vector_range</code>.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>reverse_iterator rbegin ()</code></td>
|
||
|
|
<td>Returns a <code>reverse_iterator</code> pointing to the
|
||
|
|
beginning of the reversed <code>matrix_vector_range</code>.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>reverse_iterator rend ()</code></td>
|
||
|
|
<td>Returns a <code>reverse_iterator</code> pointing to the end of
|
||
|
|
the reversed <code>matrix_vector_range</code>.</td>
|
||
|
|
</tr>
|
||
|
|
</tbody>
|
||
|
|
</table>
|
||
|
|
<h2><a name="vector_slice"></a>Vector Slice</h2>
|
||
|
|
<h4>Description</h4>
|
||
|
|
<p>The templated class <code>matrix_vector_slice<M></code>
|
||
|
|
allows addressing a sliced sub vector of a matrix.</p>
|
||
|
|
<h4>Example</h4>
|
||
|
|
<pre>
|
||
|
|
#include <boost/numeric/ublas/matrix.hpp>
|
||
|
|
#include <boost/numeric/ublas/matrix_proxy.hpp>
|
||
|
|
#include <boost/numeric/ublas/io.hpp>
|
||
|
|
|
||
|
|
int main () {
|
||
|
|
using namespace boost::numeric::ublas;
|
||
|
|
matrix<double> m (3, 3);
|
||
|
|
for (unsigned i = 0; i < m.size1 (); ++ i)
|
||
|
|
for (unsigned j = 0; j < m.size2 (); ++ j)
|
||
|
|
m (i, j) = 3 * i + j;
|
||
|
|
|
||
|
|
matrix_vector_slice<matrix<double> > mvs (m, slice (0, 1, 3), slice (0, 1, 3));
|
||
|
|
std::cout << mvs << std::endl;
|
||
|
|
}
|
||
|
|
</pre>
|
||
|
|
<h4>Definition</h4>
|
||
|
|
<p>Defined in the header matrix_proxy.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>M</code></td>
|
||
|
|
<td>The type of matrix referenced.</td>
|
||
|
|
<td></td>
|
||
|
|
</tr>
|
||
|
|
</tbody>
|
||
|
|
</table>
|
||
|
|
<h4>Model of</h4>
|
||
|
|
<p><a href="expression_concept.html#vector_expression">Vector Expression</a>
|
||
|
|
.</p>
|
||
|
|
<p>If the specified slices fall outside that of the index range of
|
||
|
|
the matrix, then the <code>matrix_vector_slice</code> is not a well
|
||
|
|
formed Vector Expression. That is, access to an element which is
|
||
|
|
outside of the matrix is <i>undefined</i>.</p>
|
||
|
|
<h4>Type requirements</h4>
|
||
|
|
<p>None, except for those imposed by the requirements of <a href=
|
||
|
|
"expression_concept.html#vector_expression">Vector Expression</a> .</p>
|
||
|
|
<h4>Public base classes</h4>
|
||
|
|
<p><code>vector_expression<matrix_vector_slice<M>
|
||
|
|
></code></p>
|
||
|
|
<h4>Members</h4>
|
||
|
|
<table border="1" summary="members">
|
||
|
|
<tbody>
|
||
|
|
<tr>
|
||
|
|
<th>Member</th>
|
||
|
|
<th>Description</th>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>matrix_vector_slice (matrix_type &data,<br />
|
||
|
|
const slice &s1, const slice &s2)</code></td>
|
||
|
|
<td>Constructs a sub vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>size_type size () const</code></td>
|
||
|
|
<td>Returns the size of the sub vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>const_reference operator () (size_type i)
|
||
|
|
const</code></td>
|
||
|
|
<td>Returns the value of the <code>i</code>-th element.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>reference operator () (size_type i)</code></td>
|
||
|
|
<td>Returns a reference of the <code>i</code>-th element.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>matrix_vector_slice &operator = (const
|
||
|
|
matrix_vector_slice &mvs)</code></td>
|
||
|
|
<td>The assignment operator.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>matrix_vector_slice &assign_temporary
|
||
|
|
(matrix_vector_slice &mvs)</code></td>
|
||
|
|
<td>Assigns a temporary. May change the matrix vector slice
|
||
|
|
<code>vs</code>.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_vector_slice &operator = (const
|
||
|
|
vector_expression<AE> &ae)</code></td>
|
||
|
|
<td>The extended assignment operator.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_vector_slice &assign (const vector_expression<AE>
|
||
|
|
&ae)</code></td>
|
||
|
|
<td>Assigns a vector expression to the sub vector. Left and right
|
||
|
|
hand side of the assignment should be independent.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_vector_slice &operator += (const
|
||
|
|
vector_expression<AE> &ae)</code></td>
|
||
|
|
<td>A computed assignment operator. Adds the vector expression to
|
||
|
|
the sub vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_vector_slice &plus_assign (const
|
||
|
|
vector_expression<AE> &ae)</code></td>
|
||
|
|
<td>Adds a vector expression to the sub vector. Left and right hand
|
||
|
|
side of the assignment should be independent.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_vector_slice &operator -= (const
|
||
|
|
vector_expression<AE> &ae)</code></td>
|
||
|
|
<td>A computed assignment operator. Subtracts the vector expression
|
||
|
|
from the sub vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_vector_slice &minus_assign (const
|
||
|
|
vector_expression<AE> &ae)</code></td>
|
||
|
|
<td>Subtracts a vector expression from the sub vector. Left and
|
||
|
|
right hand side of the assignment should be independent.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AT><br />
|
||
|
|
matrix_vector_slice &operator *= (const AT &at)</code></td>
|
||
|
|
<td>A computed assignment operator. Multiplies the sub vector with
|
||
|
|
a scalar.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AT><br />
|
||
|
|
matrix_vector_slice &operator /= (const AT &at)</code></td>
|
||
|
|
<td>A computed assignment operator. Divides the sub vector through
|
||
|
|
a scalar.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>void swap (matrix_vector_slice &mvs)</code></td>
|
||
|
|
<td>Swaps the contents of the sub vectors.</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>matrix_vector_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>matrix_vector_slice</code>.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>iterator begin ()</code></td>
|
||
|
|
<td>Returns a <code>iterator</code> pointing to the beginning of
|
||
|
|
the <code>matrix_vector_slice</code>.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>iterator end ()</code></td>
|
||
|
|
<td>Returns a <code>iterator</code> pointing to the end of the
|
||
|
|
<code>matrix_vector_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>matrix_vector_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>matrix_vector_slice</code>.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>reverse_iterator rbegin ()</code></td>
|
||
|
|
<td>Returns a <code>reverse_iterator</code> pointing to the
|
||
|
|
beginning of the reversed <code>matrix_vector_slice</code>.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>reverse_iterator rend ()</code></td>
|
||
|
|
<td>Returns a <code>reverse_iterator</code> pointing to the end of
|
||
|
|
the reversed <code>matrix_vector_slice</code>.</td>
|
||
|
|
</tr>
|
||
|
|
</tbody>
|
||
|
|
</table>
|
||
|
|
<h2><a name="matrix_range"></a>Matrix Range</h2>
|
||
|
|
<h4>Description</h4>
|
||
|
|
<p>The templated class <code>matrix_range<M></code> allows
|
||
|
|
addressing a sub matrix of a matrix.</p>
|
||
|
|
<h4>Example</h4>
|
||
|
|
<pre>
|
||
|
|
#include <boost/numeric/ublas/matrix.hpp>
|
||
|
|
#include <boost/numeric/ublas/matrix_proxy.hpp>
|
||
|
|
#include <boost/numeric/ublas/io.hpp>
|
||
|
|
|
||
|
|
int main () {
|
||
|
|
using namespace boost::numeric::ublas;
|
||
|
|
matrix<double> m (3, 3);
|
||
|
|
matrix_range<matrix<double> > mr (m, range (0, 3), range (0, 3));
|
||
|
|
for (unsigned i = 0; i < mr.size1 (); ++ i)
|
||
|
|
for (unsigned j = 0; j < mr.size2 (); ++ j)
|
||
|
|
mr (i, j) = 3 * i + j;
|
||
|
|
std::cout << mr << std::endl;
|
||
|
|
}
|
||
|
|
</pre>
|
||
|
|
<h4>Definition</h4>
|
||
|
|
<p>Defined in the header matrix_proxy.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>M</code></td>
|
||
|
|
<td>The type of matrix referenced.</td>
|
||
|
|
<td></td>
|
||
|
|
</tr>
|
||
|
|
</tbody>
|
||
|
|
</table>
|
||
|
|
<h4>Model of</h4>
|
||
|
|
<p><a href="expression_concept.html#matrix_expression">Matrix Expression</a>
|
||
|
|
.</p>
|
||
|
|
<p>If the specified ranges fall outside that of the index range of
|
||
|
|
the matrix, then the <code>matrix_range</code> is not a well formed
|
||
|
|
Matrix Expression. That is, access to an element which is outside
|
||
|
|
of the matrix is <i>undefined</i>.</p>
|
||
|
|
<h4>Type requirements</h4>
|
||
|
|
<p>None, except for those imposed by the requirements of <a href=
|
||
|
|
"expression_concept.html#matrix_expression">Matrix Expression</a> .</p>
|
||
|
|
<h4>Public base classes</h4>
|
||
|
|
<p><code>matrix_expression<matrix_range<M> ></code></p>
|
||
|
|
<h4>Members</h4>
|
||
|
|
<table border="1" summary="members">
|
||
|
|
<tbody>
|
||
|
|
<tr>
|
||
|
|
<th>Member</th>
|
||
|
|
<th>Description</th>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>matrix_range (matrix_type &data,<br />
|
||
|
|
const range &r1, const range &r2)</code></td>
|
||
|
|
<td>Constructs a sub matrix.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>size_type start1 () const</code></td>
|
||
|
|
<td>Returns the index of the first row.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>size_type size1 () const</code></td>
|
||
|
|
<td>Returns the number of rows.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>size_type start2 () const</code></td>
|
||
|
|
<td>Returns the index of the first column.</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>reference operator () (size_type i, size_type
|
||
|
|
j)</code></td>
|
||
|
|
<td>Returns a reference of the <code>j</code>-th element in the
|
||
|
|
<code>i</code>-th row.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>matrix_range &operator = (const matrix_range
|
||
|
|
&mr)</code></td>
|
||
|
|
<td>The assignment operator.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>matrix_range &assign_temporary (matrix_range
|
||
|
|
&mr)</code></td>
|
||
|
|
<td>Assigns a temporary. May change the matrix range
|
||
|
|
<code>mr</code> .</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_range &operator = (const matrix_expression<AE>
|
||
|
|
&ae)</code></td>
|
||
|
|
<td>The extended assignment operator.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_range &assign (const matrix_expression<AE>
|
||
|
|
&ae)</code></td>
|
||
|
|
<td>Assigns a matrix expression to the sub matrix. Left and right
|
||
|
|
hand side of the assignment should be independent.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_range &operator += (const matrix_expression<AE>
|
||
|
|
&ae)</code></td>
|
||
|
|
<td>A computed assignment operator. Adds the matrix expression to
|
||
|
|
the sub matrix.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_range &plus_assign (const matrix_expression<AE>
|
||
|
|
&ae)</code></td>
|
||
|
|
<td>Adds a matrix expression to the sub matrix. Left and right hand
|
||
|
|
side of the assignment should be independent.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_range &operator -= (const matrix_expression<AE>
|
||
|
|
&ae)</code></td>
|
||
|
|
<td>A computed assignment operator. Subtracts the matrix expression
|
||
|
|
from the sub matrix.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_range &minus_assign (const matrix_expression<AE>
|
||
|
|
&ae)</code></td>
|
||
|
|
<td>Subtracts a matrix expression from the sub matrix. Left and
|
||
|
|
right hand side of the assignment should be independent.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AT><br />
|
||
|
|
matrix_range &operator *= (const AT &at)</code></td>
|
||
|
|
<td>A computed assignment operator. Multiplies the sub matrix with
|
||
|
|
a scalar.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AT><br />
|
||
|
|
matrix_range &operator /= (const AT &at)</code></td>
|
||
|
|
<td>A computed assignment operator. Divides the sub matrix through
|
||
|
|
a scalar.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>void swap (matrix_range &mr)</code></td>
|
||
|
|
<td>Swaps the contents of the sub 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>matrix_range</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>matrix_range</code>.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>iterator1 begin1 ()</code></td>
|
||
|
|
<td>Returns a <code>iterator1</code> pointing to the beginning of
|
||
|
|
the <code>matrix_range</code>.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>iterator1 end1 ()</code></td>
|
||
|
|
<td>Returns a <code>iterator1</code> pointing to the end of the
|
||
|
|
<code>matrix_range</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_range</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_range</code>.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>iterator2 begin2 ()</code></td>
|
||
|
|
<td>Returns a <code>iterator2</code> pointing to the beginning of
|
||
|
|
the <code>matrix_range</code>.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>iterator2 end2 ()</code></td>
|
||
|
|
<td>Returns a <code>iterator2</code> pointing to the end of the
|
||
|
|
<code>matrix_range</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_range</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_range</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_range</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_range</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_range</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_range</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_range</code>.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>reverse_iterator2 rend2 ()</code></td>
|
||
|
|
<td>Returns a <code>reverse_iterator2</code> pointing to the end of
|
||
|
|
reversed the <code>matrix_range</code>.</td>
|
||
|
|
</tr>
|
||
|
|
</tbody>
|
||
|
|
</table>
|
||
|
|
<h3>Simple Projections</h3>
|
||
|
|
<h4>Description</h4>
|
||
|
|
<p>The free <code>subrange</code> functions support the construction
|
||
|
|
of matrix ranges.</p>
|
||
|
|
<h4>Prototypes</h4>
|
||
|
|
<pre><code>
|
||
|
|
template<class M>
|
||
|
|
matrix_range<M> subrange (M &data,
|
||
|
|
M::size_type start1, M::size_type stop1, M::size_type start2, M::size_type, stop2);
|
||
|
|
template<class M>
|
||
|
|
const matrix_range<const M> subrange (const M &data,
|
||
|
|
M::size_type start1, M::size_type stop1, M::size_type start2, M::size_type, stop2);
|
||
|
|
</code></pre>
|
||
|
|
<h3>Generic Projections</h3>
|
||
|
|
<h4>Description</h4>
|
||
|
|
<p>The free <code>project</code> functions support the construction
|
||
|
|
of matrix ranges. Existing <code>matrix_range</code>'s can be composed with further ranges. The resulting ranges are computed using this existing ranges' <code>compose</code> function.</p>
|
||
|
|
<h4>Prototypes</h4>
|
||
|
|
<pre><code>
|
||
|
|
template<class M>
|
||
|
|
matrix_range<M> project (M &data, const range &r1, const range &r2);
|
||
|
|
template<class M>
|
||
|
|
const matrix_range<const M> project (const M &data, const range &r1, const range &r2);
|
||
|
|
template<class M>
|
||
|
|
matrix_range<M> project (matrix_range<M> &data, const range &r1, const range &r2);
|
||
|
|
template<class M>
|
||
|
|
const matrix_range<M> project (const matrix_range<M> &data, const range &r1, const range &r2);
|
||
|
|
</code></pre>
|
||
|
|
<h4>Definition</h4>
|
||
|
|
<p>Defined in the header matrix_proxy.hpp.</p>
|
||
|
|
<h4>Type requirements</h4>
|
||
|
|
<ul>
|
||
|
|
<li><code>M</code> is a model of <a href=
|
||
|
|
"expression_concept.html#matrix_expression">Matrix Expression</a> .</li>
|
||
|
|
</ul>
|
||
|
|
<h4>Complexity</h4>
|
||
|
|
<p>Quadratic depending from the size of the ranges.</p>
|
||
|
|
<h4>Examples</h4>
|
||
|
|
<pre>
|
||
|
|
#include <boost/numeric/ublas/matrix.hpp>
|
||
|
|
#include <boost/numeric/ublas/matrix_proxy.hpp>
|
||
|
|
#include <boost/numeric/ublas/io.hpp>
|
||
|
|
|
||
|
|
int main () {
|
||
|
|
using namespace boost::numeric::ublas;
|
||
|
|
matrix<double> m (3, 3);
|
||
|
|
for (unsigned i = 0; i < m.size1 (); ++ i)
|
||
|
|
for (unsigned j = 0; j < m.size2 (); ++ j)
|
||
|
|
project (m, range (0, 3), range (0, 3)) (i, j) = 3 * i + j;
|
||
|
|
std::cout << project (m, range (0, 3), range (0, 3)) << std::endl;
|
||
|
|
}
|
||
|
|
</pre>
|
||
|
|
<h2><a name="matrix_slice"></a>Matrix Slice</h2>
|
||
|
|
<h4>Description</h4>
|
||
|
|
<p>The templated class <code>matrix_slice<M></code> allows
|
||
|
|
addressing a sliced sub matrix of a matrix.</p>
|
||
|
|
<h4>Example</h4>
|
||
|
|
<pre>
|
||
|
|
#include <boost/numeric/ublas/matrix.hpp>
|
||
|
|
#include <boost/numeric/ublas/matrix_proxy.hpp>
|
||
|
|
#include <boost/numeric/ublas/io.hpp>
|
||
|
|
|
||
|
|
int main () {
|
||
|
|
using namespace boost::numeric::ublas;
|
||
|
|
matrix<double> m (3, 3);
|
||
|
|
matrix_slice<matrix<double> > ms (m, slice (0, 1, 3), slice (0, 1, 3));
|
||
|
|
for (unsigned i = 0; i < ms.size1 (); ++ i)
|
||
|
|
for (unsigned j = 0; j < ms.size2 (); ++ j)
|
||
|
|
ms (i, j) = 3 * i + j;
|
||
|
|
std::cout << ms << std::endl;
|
||
|
|
}
|
||
|
|
</pre>
|
||
|
|
<h4>Definition</h4>
|
||
|
|
<p>Defined in the header matrix_proxy.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>M</code></td>
|
||
|
|
<td>The type of matrix referenced.</td>
|
||
|
|
<td></td>
|
||
|
|
</tr>
|
||
|
|
</tbody>
|
||
|
|
</table>
|
||
|
|
<h4>Model of</h4>
|
||
|
|
<p><a href="expression_concept.html#matrix_expression">Matrix Expression</a>
|
||
|
|
.</p>
|
||
|
|
<p>If the specified slices fall outside that of the index range of
|
||
|
|
the matrix, then the <code>matrix_slice</code> is not a well formed
|
||
|
|
Matrix Expression. That is, access to an element which is outside
|
||
|
|
of the matrix is <i>undefined</i>.</p>
|
||
|
|
<h4>Type requirements</h4>
|
||
|
|
<p>None, except for those imposed by the requirements of <a href=
|
||
|
|
"expression_concept.html#matrix_expression">Matrix Expression</a> .</p>
|
||
|
|
<h4>Public base classes</h4>
|
||
|
|
<p><code>matrix_expression<matrix_slice<M> ></code></p>
|
||
|
|
<h4>Members</h4>
|
||
|
|
<table border="1" summary="members">
|
||
|
|
<tbody>
|
||
|
|
<tr>
|
||
|
|
<th>Member</th>
|
||
|
|
<th>Description</th>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>matrix_slice (matrix_type &data,<br />
|
||
|
|
const slice &s1, const slice &s2)</code></td>
|
||
|
|
<td>Constructs a sub matrix.</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>reference operator () (size_type i, size_type
|
||
|
|
j)</code></td>
|
||
|
|
<td>Returns a reference of the <code>j</code>-th element in the
|
||
|
|
<code>i</code>-th row.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>matrix_slice &operator = (const matrix_slice
|
||
|
|
&ms)</code></td>
|
||
|
|
<td>The assignment operator.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>matrix_slice &assign_temporary (matrix_slice
|
||
|
|
&ms)</code></td>
|
||
|
|
<td>Assigns a temporary. May change the matrix slice
|
||
|
|
<code>ms</code> .</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_slice &operator = (const matrix_expression<AE>
|
||
|
|
&ae)</code></td>
|
||
|
|
<td>The extended assignment operator.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_slice &assign (const matrix_expression<AE>
|
||
|
|
&ae)</code></td>
|
||
|
|
<td>Assigns a matrix expression to the sub matrix. Left and right
|
||
|
|
hand side of the assignment should be independent.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_slice &operator += (const matrix_expression<AE>
|
||
|
|
&ae)</code></td>
|
||
|
|
<td>A computed assignment operator. Adds the matrix expression to
|
||
|
|
the sub matrix.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_slice &plus_assign (const matrix_expression<AE>
|
||
|
|
&ae)</code></td>
|
||
|
|
<td>Adds a matrix expression to the sub matrix. Left and right hand
|
||
|
|
side of the assignment should be independent.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_slice &operator -= (const matrix_expression<AE>
|
||
|
|
&ae)</code></td>
|
||
|
|
<td>A computed assignment operator. Subtracts the matrix expression
|
||
|
|
from the sub matrix.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AE><br />
|
||
|
|
matrix_slice &minus_assign (const matrix_expression<AE>
|
||
|
|
&ae)</code></td>
|
||
|
|
<td>Subtracts a matrix expression from the sub matrix. Left and
|
||
|
|
right hand side of the assignment should be independent.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AT><br />
|
||
|
|
matrix_slice &operator *= (const AT &at)</code></td>
|
||
|
|
<td>A computed assignment operator. Multiplies the sub matrix with
|
||
|
|
a scalar.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>template<class AT><br />
|
||
|
|
matrix_slice &operator /= (const AT &at)</code></td>
|
||
|
|
<td>A computed assignment operator. Multiplies the sub matrix
|
||
|
|
through a scalar.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>void swap (matrix_slice &ms)</code></td>
|
||
|
|
<td>Swaps the contents of the sub 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>matrix_slice</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>matrix_slice</code>.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>iterator1 begin1 ()</code></td>
|
||
|
|
<td>Returns a <code>iterator1</code> pointing to the beginning of
|
||
|
|
the <code>matrix_slice</code>.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>iterator1 end1 ()</code></td>
|
||
|
|
<td>Returns a <code>iterator1</code> pointing to the end of the
|
||
|
|
<code>matrix_slice</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_slice</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_slice</code>.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>iterator2 begin2 ()</code></td>
|
||
|
|
<td>Returns a <code>iterator2</code> pointing to the beginning of
|
||
|
|
the <code>matrix_slice</code>.</td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td><code>iterator2 end2 ()</code></td>
|
||
|
|
<td>Returns a <code>iterator2</code> pointing to the end of the
|
||
|
|
<code>matrix_slice</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_slice</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_slice</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_slice</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_slice</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_slice</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_slice</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_slice</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_slice</code>.</td>
|
||
|
|
</tr>
|
||
|
|
</tbody>
|
||
|
|
</table>
|
||
|
|
<h3>Simple Projections</h3>
|
||
|
|
<h4>Description</h4>
|
||
|
|
<p>The free <code>subslice</code> functions support the construction
|
||
|
|
of matrix slices.</p>
|
||
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<h4>Prototypes</h4>
|
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|
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<pre><code>
|
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|
|
template<class M>
|
||
|
|
matrix_slice<M> subslice (M &data,
|
||
|
|
M::size_type start1, M::difference_type stride1, M::size_type size1,
|
||
|
|
M::size_type start2, M::difference_type stride2, M::size_type size2);
|
||
|
|
template<class M>
|
||
|
|
const matrix_slice<const M> subslice (const M &data,
|
||
|
|
M::size_type start1, M::difference_type stride1, M::size_type size1,
|
||
|
|
M::size_type start2, M::difference_type stride2, M::size_type size2);
|
||
|
|
</code></pre>
|
||
|
|
<h3>Generic Projections</h3>
|
||
|
|
<h4>Description</h4>
|
||
|
|
<p>The free <code>project</code> functions support the construction
|
||
|
|
of matrix slices. Existing <code>matrix_slice</code>'s can be composed with further ranges or slices. The resulting slices are computed using this existing slices' <code>compose</code> function.</p>
|
||
|
|
<h4>Prototypes</h4>
|
||
|
|
<pre><code>
|
||
|
|
template<class M>
|
||
|
|
matrix_slice<M> project (M &data, const slice &s1, const slice &s2);
|
||
|
|
template<class M>
|
||
|
|
const matrix_slice<const M> project (const M &data, const slice &s1, const slice &s2);
|
||
|
|
template<class M>
|
||
|
|
matrix_slice<M> project (matrix_slice<M> &data, const range &r1, const range &r2);
|
||
|
|
template<class M>
|
||
|
|
const matrix_slice<M> project (const matrix_slice<M> &data, const range &r1, const range &r2);
|
||
|
|
template<class M>
|
||
|
|
matrix_slice<M> project (matrix_slice<M> &data, const slice &s1, const slice &s2);
|
||
|
|
template<class M>
|
||
|
|
const matrix_slice<M> project (const matrix_slice<M> &data, const slice &s1, const slice &s2);
|
||
|
|
</code></pre>
|
||
|
|
<h4>Definition</h4>
|
||
|
|
<p>Defined in the header matrix_proxy.hpp.</p>
|
||
|
|
<h4>Type requirements</h4>
|
||
|
|
<ul>
|
||
|
|
<li><code>M</code> is a model of <a href=
|
||
|
|
"expression_concept.html#matrix_expression">Matrix Expression</a> .</li>
|
||
|
|
</ul>
|
||
|
|
<h4>Complexity</h4>
|
||
|
|
<p>Quadratic depending from the size of the slices.</p>
|
||
|
|
<h4>Examples</h4>
|
||
|
|
<pre>
|
||
|
|
#include <boost/numeric/ublas/matrix.hpp>
|
||
|
|
#include <boost/numeric/ublas/matrix_proxy.hpp>
|
||
|
|
#include <boost/numeric/ublas/io.hpp>
|
||
|
|
|
||
|
|
int main () {
|
||
|
|
using namespace boost::numeric::ublas;
|
||
|
|
matrix<double> m (3, 3);
|
||
|
|
for (unsigned i = 0; i < m.size1 (); ++ i)
|
||
|
|
for (unsigned j = 0; j < m.size2 (); ++ j)
|
||
|
|
project (m, slice (0, 1, 3), slice (0, 1, 3)) (i, j) = 3 * i + j;
|
||
|
|
std::cout << project (m, slice (0, 1, 3), slice (0, 1, 3)) << std::endl;
|
||
|
|
}
|
||
|
|
</pre>
|
||
|
|
<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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