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1354 lines
44 KiB
HTML
1354 lines
44 KiB
HTML
<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
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<meta name="generator" content="HTML Tidy, see www.w3.org">
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<meta http-equiv="Content-Type" content=
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"text/html; charset=iso-8859-1">
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<meta name="GENERATOR" content="Microsoft FrontPage Express 2.0">
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<title>Matrix</title>
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</head>
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<body bgcolor="#ffffff">
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<h1><img src="c++boost.gif" alt="c++boost.gif" align="Center">
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Matrix</h1>
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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><br>
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#include <boost/numeric/ublas/io.hpp><br>
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<br>
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int main () {<br>
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using namespace boost::numeric::ublas;<br>
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matrix<double> m (3, 3);<br>
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for (unsigned i = 0; i < m.size1 (); ++ i)<br>
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for (unsigned j = 0; j < m.size2 (); ++ j)<br>
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m (i, j) = 3 * i + j;<br>
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std::cout << m << std::endl;<br>
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}<br>
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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">
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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 adapted array. <a href="#matrix_2">[2]</a>
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</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.htm#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.htm#matrix">Matrix</a> .</p>
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<h4>Public base classes</h4>
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<p><code>matrix_expression<matrix<T, F, A> ></code></p>
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<h4>Members</h4>
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<table border="1">
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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
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size2)</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 content of the
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<code>matrix</code> is not preserved.</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_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 (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 (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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</table>
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<h4>Notes</h4>
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<p><a name="#matrix_1">[1]</a> Supported parameters for the storage
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organization are <code>row_major</code> and
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<code>column_major</code>.</p>
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<p><a name="#matrix_2">[2]</a> Supported parameters for the adapted
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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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<h4>Interface</h4>
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<pre>
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<code>// Array based matrix class<br>
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template<class T, class F, class A><br>
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class matrix:<br>
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public matrix_expression<matrix<T, F, A> > {<br>
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public:<br>
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typedef std::size_t size_type;<br>
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typedef std::ptrdiff_t difference_type;<br>
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typedef T value_type;<br>
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typedef const T &const_reference;<br>
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typedef T &reference;<br>
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typedef const T *const_pointer;<br>
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typedef T *pointer;<br>
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typedef F functor_type;<br>
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typedef A array_type;<br>
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typedef const A const_array_type;<br>
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typedef const matrix<T, F, A> const_self_type;<br>
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typedef matrix<T, F, A> self_type;<br>
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typedef const matrix_const_reference<const_self_type> const_closure_type;<br>
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typedef matrix_reference<self_type> closure_type;<br>
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typedef typename A::const_iterator const_iterator_type;<br>
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typedef typename A::iterator iterator_type;<br>
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typedef dense_tag storage_category;<br>
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typedef typename F::orientation_category orientation_category;<br>
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<br>
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// Construction and destruction<br>
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matrix ();<br>
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matrix (size_type size1, size_type size2);<br>
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matrix (const matrix &m);<br>
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template<class AE><br>
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matrix (const matrix_expression<AE> &ae);<br>
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<br>
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// Accessors<br>
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size_type size1 () const;<br>
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size_type size2 () const;<br>
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const_array_type &data () const;<br>
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array_type &data ();<br>
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<br>
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// Resizing<br>
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void resize (size_type size1, size_type size2);<br>
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<br>
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// Element access<br>
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const_reference operator () (size_type i, size_type j) const;<br>
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reference operator () (size_type i, size_type j);<br>
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<br>
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// Assignment<br>
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matrix &operator = (const matrix &m);<br>
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matrix &assign_temporary (matrix &m);<br>
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template<class AE><br>
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matrix &operator = (const matrix_expression<AE> &ae);<br>
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template<class AE><br>
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matrix &reset (const matrix_expression<AE> &ae);<br>
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template<class AE><br>
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matrix &assign (const matrix_expression<AE> &ae);<br>
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template<class AE><br>
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matrix& operator += (const matrix_expression<AE> &ae);<br>
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template<class AE><br>
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matrix &plus_assign (const matrix_expression<AE> &ae);<br>
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template<class AE><br>
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matrix& operator -= (const matrix_expression<AE> &ae);<br>
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template<class AE><br>
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matrix &minus_assign (const matrix_expression<AE> &ae);<br>
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template<class AT><br>
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matrix& operator *= (const AT &at);<br>
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template<class AT><br>
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matrix& operator /= (const AT &at);<br>
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<br>
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// Swapping<br>
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void swap (matrix &m);<br>
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friend void swap (matrix &m1, matrix &m2);<br>
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<br>
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// Element insertion and erasure<br>
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void insert (size_type i, size_type j, const_reference t);<br>
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void erase (size_type i, size_type j);<br>
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void clear ();<br>
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<br>
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class const_iterator1;<br>
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class iterator1;<br>
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class const_iterator2;<br>
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class iterator2;<br>
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typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;<br>
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typedef reverse_iterator_base1<iterator1> reverse_iterator1;<br>
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typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;<br>
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typedef reverse_iterator_base2<iterator2> reverse_iterator2;<br>
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<br>
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// Element lookup<br>
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const_iterator1 find1 (int rank, size_type i, size_type j) const;<br>
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iterator1 find1 (int rank, size_type i, size_type j);<br>
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const_iterator2 find2 (int rank, size_type i, size_type j) const;<br>
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iterator2 find2 (int rank, size_type i, size_type j);<br>
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const_iterator1 find_first1 (int rank, size_type i, size_type j) const;<br>
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iterator1 find_first1 (int rank, size_type i, size_type j);<br>
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const_iterator1 find_last1 (int rank, size_type i, size_type j) const;<br>
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iterator1 find_last1 (int rank, size_type i, size_type j);<br>
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const_iterator2 find_first2 (int rank, size_type i, size_type j) const;<br>
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iterator2 find_first2 (int rank, size_type i, size_type j);<br>
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const_iterator2 find_last2 (int rank, size_type i, size_type j) const;<br>
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iterator2 find_last2 (int rank, size_type i, size_type j);<br>
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<br>
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// Iterators simply are pointers.<br>
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<br>
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class const_iterator1:<br>
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public container_const_reference<matrix>,<br>
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public random_access_iterator_base<const_iterator1, value_type> {<br>
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public:<br>
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typedef dense_random_access_iterator_tag iterator_category;<br>
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typedef typename matrix::difference_type difference_type;<br>
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typedef typename matrix::value_type value_type;<br>
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typedef typename matrix::const_reference reference;<br>
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typedef typename matrix::const_pointer pointer;<br>
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typedef const_iterator2 dual_iterator_type;<br>
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typedef const_reverse_iterator2 dual_reverse_iterator_type;<br>
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<br>
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// Construction and destruction<br>
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const_iterator1 ();<br>
|
|
const_iterator1 (const matrix &m, const const_iterator_type &it);<br>
|
|
const_iterator1 (const iterator1 &it);<br>
|
|
<br>
|
|
// Arithmetic<br>
|
|
const_iterator1 &operator ++ ();<br>
|
|
const_iterator1 &operator -- ();<br>
|
|
const_iterator1 &operator += (difference_type n);<br>
|
|
const_iterator1 &operator -= (difference_type n);<br>
|
|
difference_type operator - (const const_iterator1 &it) const;<br>
|
|
<br>
|
|
// Dereference<br>
|
|
reference operator * () const;<br>
|
|
<br>
|
|
const_iterator2 begin () const;<br>
|
|
const_iterator2 end () const;<br>
|
|
const_reverse_iterator2 rbegin () const;<br>
|
|
const_reverse_iterator2 rend () const;<br>
|
|
<br>
|
|
// Indices<br>
|
|
size_type index1 () const;<br>
|
|
size_type index2 () const;<br>
|
|
<br>
|
|
// Assignment<br>
|
|
const_iterator1 &operator = (const const_iterator1 &it);<br>
|
|
<br>
|
|
// Comparison<br>
|
|
bool operator == (const const_iterator1 &it) const;<br>
|
|
bool operator <(const const_iterator1 &it) const;<br>
|
|
};<br>
|
|
<br>
|
|
const_iterator1 begin1 () const;<br>
|
|
const_iterator1 end1 () const;<br>
|
|
<br>
|
|
class iterator1:<br>
|
|
public container_reference<matrix>,<br>
|
|
public random_access_iterator_base<iterator1, value_type> {<br>
|
|
public:<br>
|
|
typedef dense_random_access_iterator_tag iterator_category;<br>
|
|
typedef typename matrix::difference_type difference_type;<br>
|
|
typedef typename matrix::value_type value_type;<br>
|
|
typedef typename matrix::reference reference;<br>
|
|
typedef typename matrix::pointer pointer;<br>
|
|
typedef iterator2 dual_iterator_type;<br>
|
|
typedef reverse_iterator2 dual_reverse_iterator_type;<br>
|
|
<br>
|
|
// Construction and destruction<br>
|
|
iterator1 ();<br>
|
|
iterator1 (matrix &m, const iterator_type &it);<br>
|
|
<br>
|
|
// Arithmetic<br>
|
|
iterator1 &operator ++ ();<br>
|
|
iterator1 &operator -- ();<br>
|
|
iterator1 &operator += (difference_type n);<br>
|
|
iterator1 &operator -= (difference_type n);<br>
|
|
difference_type operator - (const iterator1 &it) const;<br>
|
|
<br>
|
|
// Dereference<br>
|
|
reference operator * () const;<br>
|
|
<br>
|
|
iterator2 begin () const;<br>
|
|
iterator2 end () const;<br>
|
|
reverse_iterator2 rbegin () const;<br>
|
|
reverse_iterator2 rend () const;<br>
|
|
<br>
|
|
// Indices<br>
|
|
size_type index1 () const;<br>
|
|
size_type index2 () const;<br>
|
|
<br>
|
|
// Assignment<br>
|
|
iterator1 &operator = (const iterator1 &it);<br>
|
|
<br>
|
|
// Comparison<br>
|
|
bool operator == (const iterator1 &it) const;<br>
|
|
bool operator <(const iterator1 &it) const;<br>
|
|
};<br>
|
|
<br>
|
|
iterator1 begin1 ();<br>
|
|
iterator1 end1 ();<br>
|
|
<br>
|
|
class const_iterator2:<br>
|
|
public container_const_reference<matrix>,<br>
|
|
public random_access_iterator_base<const_iterator2, value_type> {<br>
|
|
public:<br>
|
|
typedef dense_random_access_iterator_tag iterator_category;<br>
|
|
typedef typename matrix::difference_type difference_type;<br>
|
|
typedef typename matrix::value_type value_type;<br>
|
|
typedef typename matrix::const_reference reference;<br>
|
|
typedef typename matrix::const_pointer pointer;<br>
|
|
typedef const_iterator1 dual_iterator_type;<br>
|
|
typedef const_reverse_iterator1 dual_reverse_iterator_type;<br>
|
|
<br>
|
|
// Construction and destruction<br>
|
|
const_iterator2 ();<br>
|
|
const_iterator2 (const matrix &m, const const_iterator_type &it);<br>
|
|
const_iterator2 (const iterator2 &it);<br>
|
|
<br>
|
|
// Arithmetic<br>
|
|
const_iterator2 &operator ++ ();<br>
|
|
const_iterator2 &operator -- ();<br>
|
|
const_iterator2 &operator += (difference_type n);<br>
|
|
const_iterator2 &operator -= (difference_type n);<br>
|
|
difference_type operator - (const const_iterator2 &it) const;<br>
|
|
<br>
|
|
// Dereference<br>
|
|
reference operator * () const;<br>
|
|
<br>
|
|
const_iterator1 begin () const;<br>
|
|
const_iterator1 end () const;<br>
|
|
const_reverse_iterator1 rbegin () const;<br>
|
|
const_reverse_iterator1 rend () const;<br>
|
|
<br>
|
|
// Indices<br>
|
|
size_type index1 () const;<br>
|
|
size_type index2 () const;<br>
|
|
<br>
|
|
// Assignment<br>
|
|
const_iterator2 &operator = (const const_iterator2 &it);<br>
|
|
<br>
|
|
// Comparison<br>
|
|
bool operator == (const const_iterator2 &it) const;<br>
|
|
bool operator <(const const_iterator2 &it) const;<br>
|
|
};<br>
|
|
<br>
|
|
const_iterator2 begin2 () const;<br>
|
|
const_iterator2 end2 () const;<br>
|
|
<br>
|
|
class iterator2:<br>
|
|
public container_reference<matrix>,<br>
|
|
public random_access_iterator_base<iterator2, value_type> {<br>
|
|
public:<br>
|
|
typedef dense_random_access_iterator_tag iterator_category;<br>
|
|
typedef typename matrix::difference_type difference_type;<br>
|
|
typedef typename matrix::value_type value_type;<br>
|
|
typedef typename matrix::reference reference;<br>
|
|
typedef typename matrix::pointer pointer;<br>
|
|
typedef iterator1 dual_iterator_type;<br>
|
|
typedef reverse_iterator1 dual_reverse_iterator_type;<br>
|
|
<br>
|
|
// Construction and destruction<br>
|
|
iterator2 ();<br>
|
|
iterator2 (matrix &m, const iterator_type &it);<br>
|
|
<br>
|
|
// Arithmetic<br>
|
|
iterator2 &operator ++ ();<br>
|
|
iterator2 &operator -- ();<br>
|
|
iterator2 &operator += (difference_type n);<br>
|
|
iterator2 &operator -= (difference_type n);<br>
|
|
difference_type operator - (const iterator2 &it) const;<br>
|
|
<br>
|
|
// Dereference<br>
|
|
reference operator * () const;<br>
|
|
<br>
|
|
iterator1 begin () const;<br>
|
|
iterator1 end () const;<br>
|
|
reverse_iterator1 rbegin () const;<br>
|
|
reverse_iterator1 rend () const;<br>
|
|
<br>
|
|
// Indices<br>
|
|
size_type index1 () const;<br>
|
|
size_type index2 () const;<br>
|
|
<br>
|
|
// Assignment<br>
|
|
iterator2 &operator = (const iterator2 &it);<br>
|
|
<br>
|
|
// Comparison<br>
|
|
bool operator == (const iterator2 &it) const;<br>
|
|
bool operator <(const iterator2 &it) const;<br>
|
|
};<br>
|
|
<br>
|
|
iterator2 begin2 ();<br>
|
|
iterator2 end2 ();<br>
|
|
<br>
|
|
// Reverse iterators<br>
|
|
<br>
|
|
const_reverse_iterator1 rbegin1 () const;<br>
|
|
const_reverse_iterator1 rend1 () const;<br>
|
|
<br>
|
|
reverse_iterator1 rbegin1 ();<br>
|
|
reverse_iterator1 rend1 ();<br>
|
|
<br>
|
|
const_reverse_iterator2 rbegin2 () const;<br>
|
|
const_reverse_iterator2 rend2 () const;<br>
|
|
<br>
|
|
reverse_iterator2 rbegin2 ();<br>
|
|
reverse_iterator2 rend2 ();<br>
|
|
};</code>
|
|
</pre>
|
|
|
|
<h2><a name="identity_matrix"></a> Identity Matrix</h2>
|
|
|
|
<h4>Description</h4>
|
|
|
|
<p>The templated class <code>identity_matrix<T></code>
|
|
represents identity matrices. For a <em>(m x n</em>)-dimensional
|
|
identity matrix and <em>0 <= i < m</em>, <em>0 <= j <
|
|
n</em> holds <em>id</em><sub><em>i, j</em></sub> <em>= 0</em>, if
|
|
<em>i <> j</em>, and <em>id</em><sub><em>i, i</em></sub><em>=
|
|
1</em>.</p>
|
|
|
|
<h4>Example</h4>
|
|
|
|
<pre>
|
|
#include <boost/numeric/ublas/matrix.hpp><br>
|
|
#include <boost/numeric/ublas/io.hpp><br>
|
|
<br>
|
|
int main () {<br>
|
|
using namespace boost::numeric::ublas;<br>
|
|
identity_matrix<double> m (3);<br>
|
|
std::cout << m << std::endl;<br>
|
|
}<br>
|
|
</pre>
|
|
|
|
<h4>Definition</h4>
|
|
|
|
<p>Defined in the header matrix.hpp.</p>
|
|
|
|
<h4>Template parameters</h4>
|
|
|
|
<table border="1">
|
|
<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> </td>
|
|
</tr>
|
|
</tbody>
|
|
</table>
|
|
|
|
<h4>Model of</h4>
|
|
|
|
<p><a href="expression.htm#matrix_expression">Matrix Expression</a>
|
|
.</p>
|
|
|
|
<h4>Type requirements</h4>
|
|
|
|
<p>None, except for those imposed by the requirements of <a href=
|
|
"expression.htm#matrix_expression">Matrix Expression</a> .</p>
|
|
|
|
<h4>Public base classes</h4>
|
|
|
|
<p><code>matrix_expression<identity_matrix<T>
|
|
></code></p>
|
|
|
|
<h4>Members</h4>
|
|
|
|
<table border="1">
|
|
<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)</code></td>
|
|
<td>Resizes a <code>identity_matrix</code> to hold
|
|
<code>size</code> rows of <code>size</code> elements.</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>
|
|
|
|
<h4>Interface</h4>
|
|
|
|
<pre>
|
|
<code>// Identity matrix class<br>
|
|
template<class T><br>
|
|
class identity_matrix:<br>
|
|
public matrix_expression<identity_matrix<T> > {<br>
|
|
public:<br>
|
|
typedef std::size_t size_type;<br>
|
|
typedef std::ptrdiff_t difference_type;<br>
|
|
typedef T value_type;<br>
|
|
typedef const T &const_reference;<br>
|
|
typedef T &reference;<br>
|
|
typedef const T *const_pointer;<br>
|
|
typedef T *pointer;<br>
|
|
typedef const identity_matrix<T> const_self_type;<br>
|
|
typedef identity_matrix<T> self_type;<br>
|
|
typedef const matrix_const_reference<const_self_type> const_closure_type;<br>
|
|
typedef size_type const_iterator_type;<br>
|
|
typedef packed_tag storage_category;<br>
|
|
typedef unknown_orientation_tag orientation_category;<br>
|
|
<br>
|
|
// Construction and destruction<br>
|
|
identity_matrix ();<br>
|
|
identity_matrix (size_type size);<br>
|
|
identity_matrix (size_type size1, size_type size2);<br>
|
|
identity_matrix (const identity_matrix &m);<br>
|
|
<br>
|
|
// Accessors<br>
|
|
size_type size1 () const;<br>
|
|
size_type size2 () const;<br>
|
|
<br>
|
|
// Resizing<br>
|
|
void resize (size_type size);<br>
|
|
void resize (size_type size1, size_type size2);<br>
|
|
<br>
|
|
// Element access<br>
|
|
const_reference operator () (size_type i, size_type j) const;<br>
|
|
<br>
|
|
// Assignment<br>
|
|
identity_matrix &operator = (const identity_matrix &m);<br>
|
|
identity_matrix &assign_temporary (identity_matrix &m);<br>
|
|
<br>
|
|
// Swapping<br>
|
|
void swap (identity_matrix &m);<br>
|
|
friend void swap (identity_matrix &m1, identity_matrix &m2);<br>
|
|
<br>
|
|
class const_iterator1;<br>
|
|
class const_iterator2;<br>
|
|
typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;<br>
|
|
typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;<br>
|
|
<br>
|
|
// Element lookup<br>
|
|
const_iterator1 find_first1 (int rank, size_type i, size_type j) const;<br>
|
|
const_iterator1 find_last1 (int rank, size_type i, size_type j) const;<br>
|
|
const_iterator2 find_first2 (int rank, size_type i, size_type j) const;<br>
|
|
const_iterator2 find_last2 (int rank, size_type i, size_type j) const;<br>
|
|
<br>
|
|
// Iterators simply are indices.<br>
|
|
<br>
|
|
class const_iterator1:<br>
|
|
public container_const_reference<identity_matrix>,<br>
|
|
public random_access_iterator_base<const_iterator1, value_type> {<br>
|
|
public:<br>
|
|
typedef packed_random_access_iterator_tag iterator_category;<br>
|
|
typedef typename identity_matrix::difference_type difference_type;<br>
|
|
typedef typename identity_matrix::value_type value_type;<br>
|
|
typedef typename identity_matrix::const_reference reference;<br>
|
|
typedef typename identity_matrix::const_pointer pointer;<br>
|
|
typedef const_iterator2 dual_iterator_type;<br>
|
|
typedef const_reverse_iterator2 dual_reverse_iterator_type;<br>
|
|
<br>
|
|
// Construction and destruction<br>
|
|
const_iterator1 ();<br>
|
|
const_iterator1 (const identity_matrix &m, const const_iterator_type &it1, const const_iterator_type &it2);<br>
|
|
<br>
|
|
// Arithmetic<br>
|
|
const_iterator1 &operator ++ ();<br>
|
|
const_iterator1 &operator -- ();<br>
|
|
const_iterator1 &operator += (difference_type n);<br>
|
|
const_iterator1 &operator -= (difference_type n);<br>
|
|
difference_type operator - (const const_iterator1 &it) const;<br>
|
|
<br>
|
|
// Dereference<br>
|
|
reference operator * () const;<br>
|
|
<br>
|
|
const_iterator2 begin () const;<br>
|
|
const_iterator2 end () const;<br>
|
|
const_reverse_iterator2 rbegin () const;<br>
|
|
const_reverse_iterator2 rend () const;<br>
|
|
<br>
|
|
// Indices<br>
|
|
size_type index1 () const;<br>
|
|
size_type index2 () const;<br>
|
|
<br>
|
|
// Assignment<br>
|
|
const_iterator1 &operator = (const const_iterator1 &it);<br>
|
|
<br>
|
|
// Comparison<br>
|
|
bool operator == (const const_iterator1 &it) const;<br>
|
|
bool operator <(const const_iterator1 &it) const;<br>
|
|
};<br>
|
|
<br>
|
|
typedef const_iterator1 iterator1;<br>
|
|
<br>
|
|
const_iterator1 begin1 () const;<br>
|
|
const_iterator1 end1 () const;<br>
|
|
<br>
|
|
class const_iterator2:<br>
|
|
public container_const_reference<identity_matrix>,<br>
|
|
public random_access_iterator_base<const_iterator2, value_type> {<br>
|
|
public:<br>
|
|
typedef packed_random_access_iterator_tag iterator_category;<br>
|
|
typedef typename identity_matrix::difference_type difference_type;<br>
|
|
typedef typename identity_matrix::value_type value_type;<br>
|
|
typedef typename identity_matrix::const_reference reference;<br>
|
|
typedef typename identity_matrix::const_pointer pointer;<br>
|
|
typedef const_iterator1 dual_iterator_type;<br>
|
|
typedef const_reverse_iterator1 dual_reverse_iterator_type;<br>
|
|
<br>
|
|
// Construction and destruction<br>
|
|
const_iterator2 ();<br>
|
|
const_iterator2 (const identity_matrix &m, const const_iterator_type &it1, const const_iterator_type &it2);<br>
|
|
<br>
|
|
// Arithmetic<br>
|
|
const_iterator2 &operator ++ ();<br>
|
|
const_iterator2 &operator -- ();<br>
|
|
const_iterator2 &operator += (difference_type n);<br>
|
|
const_iterator2 &operator -= (difference_type n);<br>
|
|
difference_type operator - (const const_iterator2 &it) const;<br>
|
|
<br>
|
|
// Dereference<br>
|
|
reference operator * () const;<br>
|
|
<br>
|
|
const_iterator1 begin () const;<br>
|
|
const_iterator1 end () const;<br>
|
|
const_reverse_iterator1 rbegin () const;<br>
|
|
const_reverse_iterator1 rend () const;<br>
|
|
<br>
|
|
// Indices<br>
|
|
size_type index1 () const;<br>
|
|
size_type index2 () const;<br>
|
|
<br>
|
|
// Assignment<br>
|
|
const_iterator2 &operator = (const const_iterator2 &it);<br>
|
|
<br>
|
|
// Comparison<br>
|
|
bool operator == (const const_iterator2 &it) const;<br>
|
|
bool operator <(const const_iterator2 &it) const;<br>
|
|
};<br>
|
|
<br>
|
|
typedef const_iterator2 iterator2;<br>
|
|
<br>
|
|
const_iterator2 begin2 () const;<br>
|
|
const_iterator2 end2 () const;<br>
|
|
<br>
|
|
// Reverse iterators<br>
|
|
<br>
|
|
const_reverse_iterator1 rbegin1 () const;<br>
|
|
const_reverse_iterator1 rend1 () const;<br>
|
|
<br>
|
|
const_reverse_iterator2 rbegin2 () const;<br>
|
|
const_reverse_iterator2 rend2 () const;<br>
|
|
};</code>
|
|
</pre>
|
|
|
|
<h2><a name="zero_matrix"></a> Zero Matrix</h2>
|
|
|
|
<h4>Description</h4>
|
|
|
|
<p>The templated class <code>zero_matrix<T></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><br>
|
|
#include <boost/numeric/ublas/io.hpp><br>
|
|
<br>
|
|
int main () {<br>
|
|
using namespace boost::numeric::ublas;<br>
|
|
zero_matrix<double> m (3, 3);<br>
|
|
std::cout << m << std::endl;<br>
|
|
}<br>
|
|
</pre>
|
|
|
|
<h4>Definition</h4>
|
|
|
|
<p>Defined in the header matrix.hpp.</p>
|
|
|
|
<h4>Template parameters</h4>
|
|
|
|
<table border="1">
|
|
<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> </td>
|
|
</tr>
|
|
</tbody>
|
|
</table>
|
|
|
|
<h4>Model of</h4>
|
|
|
|
<p><a href="expression.htm#matrix_expression">Matrix Expression</a>
|
|
.</p>
|
|
|
|
<h4>Type requirements</h4>
|
|
|
|
<p>None, except for those imposed by the requirements of <a href=
|
|
"expression.htm#matrix_expression">Matrix Expression</a> .</p>
|
|
|
|
<h4>Public base classes</h4>
|
|
|
|
<p><code>matrix_expression<zero_matrix<T> ></code></p>
|
|
|
|
<h4>Members</h4>
|
|
|
|
<table border="1">
|
|
<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)</code></td>
|
|
<td>Resizes a <code>zero_matrix</code> to hold <code>size1</code>
|
|
rows of <code>size2</code> elements.</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>
|
|
|
|
<h4>Interface</h4>
|
|
|
|
<pre>
|
|
<code>// Zero matrix class<br>
|
|
template<class T><br>
|
|
class zero_matrix:<br>
|
|
public matrix_expression<zero_matrix<T> > {<br>
|
|
public:<br>
|
|
typedef std::size_t size_type;<br>
|
|
typedef std::ptrdiff_t difference_type;<br>
|
|
typedef T value_type;<br>
|
|
typedef const T &const_reference;<br>
|
|
typedef T &reference;<br>
|
|
typedef const T *const_pointer;<br>
|
|
typedef T *pointer;<br>
|
|
typedef const zero_matrix<T> const_self_type;<br>
|
|
typedef zero_matrix<T> self_type;<br>
|
|
typedef const matrix_const_reference<const_self_type> const_closure_type;<br>
|
|
typedef size_type const_iterator_type;<br>
|
|
typedef sparse_tag storage_category;<br>
|
|
typedef unknown_orientation_tag orientation_category;<br>
|
|
<br>
|
|
// Construction and destruction<br>
|
|
zero_matrix ();<br>
|
|
zero_matrix (size_type size1, size_type size2);<br>
|
|
zero_matrix (const zero_matrix &m);<br>
|
|
<br>
|
|
// Accessors<br>
|
|
size_type size1 () const;<br>
|
|
size_type size2 () const;<br>
|
|
<br>
|
|
// Resizing<br>
|
|
void resize (size_type size1, size_type size2);<br>
|
|
<br>
|
|
// Element access<br>
|
|
const_reference operator () (size_type i, size_type j) const;<br>
|
|
<br>
|
|
// Assignment<br>
|
|
zero_matrix &operator = (const zero_matrix &m);<br>
|
|
zero_matrix &assign_temporary (zero_matrix &m);<br>
|
|
<br>
|
|
// Swapping<br>
|
|
void swap (zero_matrix &m);<br>
|
|
friend void swap (zero_matrix &m1, zero_matrix &m2);<br>
|
|
<br>
|
|
class const_iterator1;<br>
|
|
class const_iterator2;<br>
|
|
typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;<br>
|
|
typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;<br>
|
|
<br>
|
|
// Element lookup<br>
|
|
const_iterator1 find_first1 (int rank, size_type i, size_type j) const;<br>
|
|
const_iterator1 find_last1 (int rank, size_type i, size_type j) const;<br>
|
|
const_iterator2 find_first2 (int rank, size_type i, size_type j) const;<br>
|
|
const_iterator2 find_last2 (int rank, size_type i, size_type j) const;<br>
|
|
<br>
|
|
// Iterators simply are indices.<br>
|
|
<br>
|
|
class const_iterator1:<br>
|
|
public container_const_reference<zero_matrix>,<br>
|
|
public bidirectional_iterator_base<const_iterator1, value_type> {<br>
|
|
public:<br>
|
|
typedef sparse_bidirectional_iterator_tag iterator_category;<br>
|
|
typedef typename zero_matrix::difference_type difference_type;<br>
|
|
typedef typename zero_matrix::value_type value_type;<br>
|
|
typedef typename zero_matrix::const_reference reference;<br>
|
|
typedef typename zero_matrix::const_pointer pointer;<br>
|
|
typedef const_iterator2 dual_iterator_type;<br>
|
|
typedef const_reverse_iterator2 dual_reverse_iterator_type;<br>
|
|
<br>
|
|
// Construction and destruction<br>
|
|
const_iterator1 ();<br>
|
|
const_iterator1 (const zero_matrix &m, const const_iterator_type &it1, const const_iterator_type &it2);<br>
|
|
<br>
|
|
// Arithmetic<br>
|
|
const_iterator1 &operator ++ ();<br>
|
|
const_iterator1 &operator -- ();<br>
|
|
<br>
|
|
// Dereference<br>
|
|
reference operator * () const;<br>
|
|
<br>
|
|
const_iterator2 begin () const;<br>
|
|
const_iterator2 end () const;<br>
|
|
const_reverse_iterator2 rbegin () const;<br>
|
|
const_reverse_iterator2 rend () const;<br>
|
|
<br>
|
|
// Indices<br>
|
|
size_type index1 () const;<br>
|
|
size_type index2 () const;<br>
|
|
<br>
|
|
// Assignment<br>
|
|
const_iterator1 &operator = (const const_iterator1 &it);<br>
|
|
<br>
|
|
// Comparison<br>
|
|
bool operator == (const const_iterator1 &it) const;<br>
|
|
};<br>
|
|
<br>
|
|
typedef const_iterator1 iterator1;<br>
|
|
<br>
|
|
const_iterator1 begin1 () const;<br>
|
|
const_iterator1 end1 () const;<br>
|
|
<br>
|
|
class const_iterator2:<br>
|
|
public container_const_reference<zero_matrix>,<br>
|
|
public bidirectional_iterator_base<const_iterator2, value_type> {<br>
|
|
public:<br>
|
|
typedef sparse_bidirectional_iterator_tag iterator_category;<br>
|
|
typedef typename zero_matrix::difference_type difference_type;<br>
|
|
typedef typename zero_matrix::value_type value_type;<br>
|
|
typedef typename zero_matrix::const_reference reference;<br>
|
|
typedef typename zero_matrix::const_pointer pointer;<br>
|
|
typedef const_iterator1 dual_iterator_type;<br>
|
|
typedef const_reverse_iterator1 dual_reverse_iterator_type;<br>
|
|
<br>
|
|
// Construction and destruction<br>
|
|
const_iterator2 ();<br>
|
|
const_iterator2 (const zero_matrix &m, const const_iterator_type &it1, const const_iterator_type &it2);<br>
|
|
<br>
|
|
// Arithmetic<br>
|
|
const_iterator2 &operator ++ ();<br>
|
|
const_iterator2 &operator -- ();<br>
|
|
<br>
|
|
// Dereference<br>
|
|
reference operator * () const;<br>
|
|
<br>
|
|
const_iterator1 begin () const;<br>
|
|
const_iterator1 end () const;<br>
|
|
const_reverse_iterator1 rbegin () const;<br>
|
|
const_reverse_iterator1 rend () const;<br>
|
|
<br>
|
|
// Indices<br>
|
|
size_type index1 () const;<br>
|
|
size_type index2 () const;<br>
|
|
<br>
|
|
// Assignment<br>
|
|
const_iterator2 &operator = (const const_iterator2 &it);<br>
|
|
<br>
|
|
// Comparison<br>
|
|
bool operator == (const const_iterator2 &it) const;<br>
|
|
};<br>
|
|
<br>
|
|
typedef const_iterator2 iterator2;<br>
|
|
<br>
|
|
const_iterator2 begin2 () const;<br>
|
|
const_iterator2 end2 () const;<br>
|
|
<br>
|
|
// Reverse iterators<br>
|
|
<br>
|
|
const_reverse_iterator1 rbegin1 () const;<br>
|
|
const_reverse_iterator1 rend1 () const;<br>
|
|
<br>
|
|
const_reverse_iterator2 rbegin2 () const;<br>
|
|
const_reverse_iterator2 rend2 () const;<br>
|
|
};</code>
|
|
</pre>
|
|
|
|
<hr>
|
|
<p>Copyright (©) 2000-2002 Joerg Walter, Mathias Koch<br>
|
|
Permission to copy, use, modify, sell and distribute this document
|
|
is granted provided this copyright notice appears in all copies.
|
|
This document is provided ``as is'' without express or implied
|
|
warranty, and with no claim as to its suitability for any
|
|
purpose.</p>
|
|
|
|
<p>Last revised: 1/15/2003</p>
|
|
</body>
|
|
</html>
|
|
|