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984 lines
33 KiB
HTML
<!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>Sparse Matrix</title>
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</head>
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<body>
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<h1><img src="../../../../boost.png" align="middle" />Sparse Matricies</h1>
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<div class="toc" id="toc"></div>
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<h2><a name="mapped_matrix"></a>Mapped Matrix</h2>
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<h4>Description</h4>
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<p>The templated class <code>mapped_matrix<T, F, A></code> is
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the base container adaptor for sparse matricies using element maps.
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For a <em>(m xn</em>)-dimensional sparse matrix and <em>0 <= i < m</em>,
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<em>0 <= j < n</em> the non-zero elements
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<em>m</em><sub><em>i, j</em></sub> are mapped via <em>(i x n +
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j)</em> for row major orientation or via <em>(i + j x m)</em> for
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column major orientation to consecutive elements of the associative
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container, i.e. for elements <em>k</em> =
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<em>m</em><sub><em>i</em></sub><sub><sub><em>1</em></sub></sub><sub>
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<em>,j</em></sub><sub><sub><em>1</em></sub></sub>and <em>k + 1 =
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m</em><sub><em>i</em></sub><sub><sub><em>2</em></sub></sub><sub><em>
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,j</em></sub><sub><sub><em>2</em></sub></sub>of the container holds
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<em>i</em><sub><em>1</em></sub> <em><
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i</em><sub><em>2</em></sub> or <em>(i</em><sub><em>1</em></sub>
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<em>= i</em><sub><em>2</em></sub> and
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<em>j</em><sub><em>1</em></sub> <em><
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j</em><sub><em>2</em></sub><em>)</em> with row major orientation or
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<em>j</em><sub><em>1</em></sub> <em><
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j</em><sub><em>2</em></sub> or <em>(j</em><sub><em>1</em></sub>
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<em>= j</em><sub><em>2</em></sub> and
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<em>i</em><sub><em>1</em></sub> <em><
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i</em><sub><em>2</em></sub><em>)</em> with 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_sparse.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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mapped_matrix<double> m (3, 3, 3 * 3);
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for (unsigned i = 0; i < m.size1 (); ++ i)
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for (unsigned j = 0; j < m.size2 (); ++ j)
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m (i, j) = 3 * i + j;
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std::cout << m << std::endl;
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}
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</pre>
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<h4>Definition</h4>
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<p>Defined in the header matrix_sparse.hpp.</p>
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<h4>Template parameters</h4>
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<table border="1" summary="parameters">
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<tbody>
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<tr>
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<th>Parameter</th>
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<th>Description</th>
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<th>Default</th>
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</tr>
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<tr>
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<td><code>T</code></td>
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<td>The type of object stored in the mapped 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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"#mapped_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=
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"#mapped_matrix_2">[2]</a></td>
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<td><code>map_std<std::size_t, T></code></td>
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</tr>
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</tbody>
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</table>
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<h4>Model of</h4>
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<p><a href="container_concept.html#matrix">Matrix</a> .</p>
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<h4>Type requirements</h4>
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<p>None, except for those imposed by the requirements of <a href=
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"container_concept.html#matrix">Matrix</a> .</p>
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<h4>Public base classes</h4>
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<p><code>matrix_container<mapped_matrix<T, F, A>
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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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<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>mapped_matrix ()</code></td>
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<td>Allocates a <code>mapped_matrix</code> that holds at most 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>mapped_matrix (size_type size1, size_type2, size_type non_zeros = 0)</code></td>
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<td>Allocates a <code>mapped_matrix</code> that holds at most
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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>mapped_matrix (const mapped_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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mapped_matrix (size_type non_zeros, const
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matrix_expression<AE> &ae)</code></td>
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<td>The extended copy constructor.</td>
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</tr>
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<tr>
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<td><code>void resize (size_type size1, size_type size2, bool preserve = true)</code></td>
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<td>Reallocates a <code>mapped_matrix</code> to hold at most
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<code>size1</code> rows of <code>size2</code> elements. The
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existing elements of the <code>mapped_matrix</code> are preseved
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when specified.</td>
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</tr>
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<tr>
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<td><code>size_type size1 () const</code></td>
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<td>Returns the number of rows.</td>
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</tr>
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<tr>
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<td><code>size_type size2 () const</code></td>
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<td>Returns the number of columns.</td>
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</tr>
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<tr>
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<td><code>const_reference operator () (size_type i, size_type j)
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const</code></td>
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<td>Returns the value 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>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>mapped_matrix &operator = (const mapped_matrix
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&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>mapped_matrix &assign_temporary (mapped_matrix
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&m)</code></td>
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<td>Assigns a temporary. May change the mapped matrix
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<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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mapped_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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mapped_matrix &assign (const matrix_expression<AE>
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&ae)</code></td>
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<td>Assigns a matrix expression to the mapped matrix. 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 AE><br />
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mapped_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 mapped 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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mapped_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 mapped 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 AE><br />
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mapped_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 mapped 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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mapped_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 mapped matrix. 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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mapped_matrix &operator *= (const AT &at)</code></td>
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<td>A computed assignment operator. Multiplies the mapped matrix
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with 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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mapped_matrix &operator /= (const AT &at)</code></td>
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<td>A computed assignment operator. Divides the mapped matrix
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through a scalar.</td>
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</tr>
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<tr>
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<td><code>void swap (mapped_matrix &m)</code></td>
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<td>Swaps the contents of the mapped matrices.</td>
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</tr>
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<tr>
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<td><code>true_refrence insert_element (size_type i, size_type j, const_reference
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t)</code></td>
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<td>Inserts the value <code>t</code> at the <code>j</code>-th
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element of the <code>i</code>-th row. Duplicates elements are not allowed.</td>
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</tr>
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<tr>
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<td><code>void erase_element (size_type i, size_type j)</code></td>
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<td>Erases the value at the <code>j</code>-th element of the
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<code>i</code>-th row.</td>
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</tr>
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<tr>
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<td><code>void clear ()</code></td>
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<td>Clears the mapped 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>mapped_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>mapped_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>mapped_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>mapped_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>mapped_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>mapped_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>mapped_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>mapped_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>mapped_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>mapped_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>mapped_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>mapped_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>mapped_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>mapped_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>mapped_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>mapped_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="mapped_matrix_1">[1]</a> Supported
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parameters for the storage organization are <code>row_major</code>
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and <code>column_major</code>.</p>
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<p><a name="mapped_matrix_2">[2]</a> Supported
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parameters for the adapted array are
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<code>map_array<std::size_t, T></code> and
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<code>map_std<std::size_t, T></code>. The latter is
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equivalent to <code>std::map<std::size_t, T></code>.</p>
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<h2><a name="compressed_matrix"></a>Compressed Matrix</h2>
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<h4>Description</h4>
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<p>The templated class <code>compressed_matrix<T, F, IB, IA,
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TA></code> is the base container adaptor for compressed
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matrices. For a <em>(m x n</em> )-dimensional compressed matrix and
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<em>0 <= i < m</em>, <em>0 <= j < n</em> the non-zero
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elements <em>m</em><sub><em>i, j</em></sub> are mapped via <em>(i x
|
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n + j)</em> for row major orientation or via <em>(i + j x m)</em>
|
|
for column major orientation to consecutive elements of the index
|
|
and value containers, i.e. for elements <em>k</em> =
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<em>m</em><sub><em>i</em></sub><sub><sub><em>1</em></sub></sub><sub>
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<em>,j</em></sub><sub><sub><em>1</em></sub></sub>and <em>k + 1 =
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m</em><sub><em>i</em></sub><sub><sub><em>2</em></sub></sub><sub><em>
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,j</em></sub><sub><sub><em>2</em></sub></sub>of the container holds
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<em>i</em><sub><em>1</em></sub> <em><
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i</em><sub><em>2</em></sub> or <em>(i</em><sub><em>1</em></sub>
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<em>= i</em><sub><em>2</em></sub> and
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<em>j</em><sub><em>1</em></sub> <em><
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j</em><sub><em>2</em></sub><em>)</em> with row major orientation or
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<em>j</em><sub><em>1</em></sub> <em><
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j</em><sub><em>2</em></sub> or <em>(j</em><sub><em>1</em></sub>
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<em>= j</em><sub><em>2</em></sub> and
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<em>i</em><sub><em>1</em></sub> <em><
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i</em><sub><em>2</em></sub><em>)</em> with column major
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orientation.</p>
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<h4>Example</h4>
|
|
<pre>
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#include <boost/numeric/ublas/matrix_sparse.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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compressed_matrix<double> m (3, 3, 3 * 3);
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for (unsigned i = 0; i < m.size1 (); ++ i)
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for (unsigned j = 0; j < m.size2 (); ++ j)
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m (i, j) = 3 * i + j;
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std::cout << m << std::endl;
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}
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</pre>
|
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<h4>Definition</h4>
|
|
<p>Defined in the header matrix_sparse.hpp.</p>
|
|
<h4>Template parameters</h4>
|
|
<table border="1" summary="parameters">
|
|
<tbody>
|
|
<tr>
|
|
<th>Parameter</th>
|
|
<th>Description</th>
|
|
<th>Default</th>
|
|
</tr>
|
|
<tr>
|
|
<td><code>T</code></td>
|
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<td>The type of object stored in the compressed matrix.</td>
|
|
<td></td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>F</code></td>
|
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<td>Functor describing the storage organization. <a href=
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"#compressed_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>
|
|
<td><code>IB</code></td>
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<td>The index base of the compressed vector. <a href=
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"#compressed_matrix_2">[2]</a></td>
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<td><code>0</code></td>
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</tr>
|
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<tr>
|
|
<td><code>IA</code></td>
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<td>The type of the adapted array for indices. <a href=
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"#compressed_matrix_3">[3]</a></td>
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<td><code>unbounded_array<std::size_t></code></td>
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</tr>
|
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<tr>
|
|
<td><code>TA</code></td>
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<td>The type of the adapted array for values. <a href=
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"#compressed_matrix_3">[3]</a></td>
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<td><code>unbounded_array<T></code></td>
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</tr>
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</tbody>
|
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</table>
|
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<h4>Model of</h4>
|
|
<p><a href="container_concept.html#matrix">Matrix</a> .</p>
|
|
<h4>Type requirements</h4>
|
|
<p>None, except for those imposed by the requirements of <a href=
|
|
"container_concept.html#matrix">Matrix</a> .</p>
|
|
<h4>Public base classes</h4>
|
|
<p><code>matrix_container<compressed_matrix<T, F, IB, IA,
|
|
TA> ></code></p>
|
|
<h4>Members</h4>
|
|
<table border="1" summary="members">
|
|
<tbody>
|
|
<tr>
|
|
<th>Member</th>
|
|
<th>Description</th>
|
|
</tr>
|
|
<tr>
|
|
<td><code>compressed_matrix ()</code></td>
|
|
<td>Allocates a <code>compressed_matrix</code> that holds at most
|
|
zero rows of zero elements.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>compressed_matrix (size_type size1, size_type2, size_type non_zeros = 0)</code></td>
|
|
<td>Allocates a <code>compressed_matrix</code> that holds at most
|
|
<code>size1</code> rows of <code>size2</code> elements.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>compressed_matrix (const compressed_matrix
|
|
&m)</code></td>
|
|
<td>The copy constructor.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>template<class AE><br />
|
|
compressed_matrix (size_type non_zeros, const
|
|
matrix_expression<AE> &ae)</code></td>
|
|
<td>The extended copy constructor.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>void resize (size_type size1, size_type size2, bool preserve = true)</code></td>
|
|
<td>Reallocates a <code>compressed_matrix</code> to hold at most
|
|
<code>size1</code> rows of <code>size2</code> elements. The
|
|
existing elements of the <code>compressed_matrix</code> are
|
|
preseved when specified.</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>compressed_matrix &operator = (const
|
|
compressed_matrix &m)</code></td>
|
|
<td>The assignment operator.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>compressed_matrix &assign_temporary
|
|
(compressed_matrix &m)</code></td>
|
|
<td>Assigns a temporary. May change the compressed matrix
|
|
<code>m</code>.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>template<class AE><br />
|
|
compressed_matrix &operator = (const
|
|
matrix_expression<AE> &ae)</code></td>
|
|
<td>The extended assignment operator.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>template<class AE><br />
|
|
compressed_matrix &assign (const matrix_expression<AE>
|
|
&ae)</code></td>
|
|
<td>Assigns a matrix expression to the compressed matrix. Left and
|
|
right hand side of the assignment should be independent.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>template<class AE><br />
|
|
compressed_matrix &operator += (const
|
|
matrix_expression<AE> &ae)</code></td>
|
|
<td>A computed assignment operator. Adds the matrix expression to
|
|
the compressed matrix.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>template<class AE><br />
|
|
compressed_matrix &plus_assign (const
|
|
matrix_expression<AE> &ae)</code></td>
|
|
<td>Adds a matrix expression to the compressed matrix. Left and
|
|
right hand side of the assignment should be independent.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>template<class AE><br />
|
|
compressed_matrix &operator -= (const
|
|
matrix_expression<AE> &ae)</code></td>
|
|
<td>A computed assignment operator. Subtracts the matrix expression
|
|
from the compressed matrix.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>template<class AE><br />
|
|
compressed_matrix &minus_assign (const
|
|
matrix_expression<AE> &ae)</code></td>
|
|
<td>Subtracts a matrix expression from the compressed matrix. Left
|
|
and right hand side of the assignment should be independent.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>template<class AT><br />
|
|
compressed_matrix &operator *= (const AT &at)</code></td>
|
|
<td>A computed assignment operator. Multiplies the compressed
|
|
matrix with a scalar.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>template<class AT><br />
|
|
compressed_matrix &operator /= (const AT &at)</code></td>
|
|
<td>A computed assignment operator. Divides the compressed matrix
|
|
through a scalar.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>void swap (compressed_matrix &m)</code></td>
|
|
<td>Swaps the contents of the compressed matrices.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>true_reference insert_element (size_type i, size_type j, const_reference
|
|
t)</code></td>
|
|
<td>Inserts the value <code>t</code> at the <code>j</code>-th
|
|
element of the <code>i</code>-th row. Duplicates elements are not allowed.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>void erase_element (size_type i, size_type j)</code></td>
|
|
<td>Erases the value at the <code>j</code>-th element of the
|
|
<code>i</code>-th row.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>void clear ()</code></td>
|
|
<td>Clears the compressed matrix.</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>compressed_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>compressed_matrix</code>.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>iterator1 begin1 ()</code></td>
|
|
<td>Returns a <code>iterator1</code> pointing to the beginning of
|
|
the <code>compressed_matrix</code>.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>iterator1 end1 ()</code></td>
|
|
<td>Returns a <code>iterator1</code> pointing to the end of the
|
|
<code>compressed_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>compressed_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>compressed_matrix</code>.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>iterator2 begin2 ()</code></td>
|
|
<td>Returns a <code>iterator2</code> pointing to the beginning of
|
|
the <code>compressed_matrix</code>.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>iterator2 end2 ()</code></td>
|
|
<td>Returns a <code>iterator2</code> pointing to the end of the
|
|
<code>compressed_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>compressed_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>compressed_matrix</code>.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>reverse_iterator1 rbegin1 ()</code></td>
|
|
<td>Returns a <code>reverse_iterator1</code> pointing to the
|
|
beginning of the reversed <code>compressed_matrix</code>.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>reverse_iterator1 rend1 ()</code></td>
|
|
<td>Returns a <code>reverse_iterator1</code> pointing to the end of
|
|
the reversed <code>compressed_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>compressed_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>compressed_matrix</code>.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>reverse_iterator2 rbegin2 ()</code></td>
|
|
<td>Returns a <code>reverse_iterator2</code> pointing to the
|
|
beginning of the reversed <code>compressed_matrix</code>.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>reverse_iterator2 rend2 ()</code></td>
|
|
<td>Returns a <code>reverse_iterator2</code> pointing to the end of
|
|
the reversed <code>compressed_matrix</code>.</td>
|
|
</tr>
|
|
</tbody>
|
|
</table>
|
|
<h4>Notes</h4>
|
|
<p><a name="compressed_matrix_1">[1]</a>
|
|
Supported parameters for the storage organization are
|
|
<code>row_major</code> and <code>column_major</code>.</p>
|
|
<p><a name="compressed_matrix_2">[2]</a>
|
|
Supported parameters for the index base are <code>0</code> and
|
|
<code>1</code> at least.</p>
|
|
<p><a name="compressed_matrix_3">[3]</a>
|
|
Supported parameters for the adapted array are
|
|
<code>unbounded_array<></code> ,
|
|
<code>bounded_array<></code> and
|
|
<code>std::vector<></code> .</p>
|
|
<h2><a name="coordinate_matrix"></a>Coordinate Matrix</h2>
|
|
<h4>Description</h4>
|
|
<p>The templated class <code>coordinate_matrix<T, F, IB, IA,
|
|
TA></code> is the base container adaptor for compressed
|
|
matrices. For a <em>(m x n</em> )-dimensional sorted coordinate
|
|
matrix and <em>0 <= i < m</em>, <em>0 <= j < n</em> the
|
|
non-zero elements <em>m</em><sub><em>i, j</em></sub> are mapped via
|
|
<em>(i x n + j)</em> for row major orientation or via <em>(i + j x
|
|
m)</em> for column major orientation to consecutive elements of the
|
|
index and value containers, i.e. for elements <em>k</em> =
|
|
<em>m</em><sub><em>i</em></sub><sub><sub><em>1</em></sub></sub><sub>
|
|
<em>,j</em></sub><sub><sub><em>1</em></sub></sub>and <em>k + 1 =
|
|
m</em><sub><em>i</em></sub><sub><sub><em>2</em></sub></sub><sub><em>
|
|
,j</em></sub><sub><sub><em>2</em></sub></sub>of the container holds
|
|
<em>i</em><sub><em>1</em></sub> <em><
|
|
i</em><sub><em>2</em></sub> or <em>(i</em><sub><em>1</em></sub>
|
|
<em>= i</em><sub><em>2</em></sub> and
|
|
<em>j</em><sub><em>1</em></sub> <em><
|
|
j</em><sub><em>2</em></sub><em>)</em> with row major orientation or
|
|
<em>j</em><sub><em>1</em></sub> <em><
|
|
j</em><sub><em>2</em></sub> or <em>(j</em><sub><em>1</em></sub>
|
|
<em>= j</em><sub><em>2</em></sub> and
|
|
<em>i</em><sub><em>1</em></sub> <em><
|
|
i</em><sub><em>2</em></sub><em>)</em> with column major
|
|
orientation.</p>
|
|
<h4>Example</h4>
|
|
<pre>
|
|
#include <boost/numeric/ublas/matrix_sparse.hpp>
|
|
#include <boost/numeric/ublas/io.hpp>
|
|
|
|
int main () {
|
|
using namespace boost::numeric::ublas;
|
|
coordinate_matrix<double> m (3, 3, 3 * 3);
|
|
for (unsigned i = 0; i < m.size1 (); ++ i)
|
|
for (unsigned j = 0; j < m.size2 (); ++ j)
|
|
m (i, j) = 3 * i + j;
|
|
std::cout << m << std::endl;
|
|
}
|
|
</pre>
|
|
<h4>Definition</h4>
|
|
<p>Defined in the header matrix_sparse.hpp.</p>
|
|
<h4>Template parameters</h4>
|
|
<table border="1" summary="parameters">
|
|
<tbody>
|
|
<tr>
|
|
<th>Parameter</th>
|
|
<th>Description</th>
|
|
<th>Default</th>
|
|
</tr>
|
|
<tr>
|
|
<td><code>T</code></td>
|
|
<td>The type of object stored in the coordinate matrix.</td>
|
|
<td></td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>F</code></td>
|
|
<td>Functor describing the storage organization. <a href=
|
|
"#coordinate_matrix_1">[1]</a></td>
|
|
<td><code>row_major</code></td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>IB</code></td>
|
|
<td>The index base of the coordinate vector. <a href=
|
|
"#coordinate_matrix_2">[2]</a></td>
|
|
<td><code>0</code></td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>IA</code></td>
|
|
<td>The type of the adapted array for indices. <a href=
|
|
"#coordinate_matrix_3">[3]</a></td>
|
|
<td><code>unbounded_array<std::size_t></code></td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>TA</code></td>
|
|
<td>The type of the adapted array for values. <a href=
|
|
"#coordinate_matrix_3">[3]</a></td>
|
|
<td><code>unbounded_array<T></code></td>
|
|
</tr>
|
|
</tbody>
|
|
</table>
|
|
<h4>Model of</h4>
|
|
<p><a href="container_concept.html#matrix">Matrix</a> .</p>
|
|
<h4>Type requirements</h4>
|
|
<p>None, except for those imposed by the requirements of <a href=
|
|
"container_concept.html#matrix">Matrix</a> .</p>
|
|
<h4>Public base classes</h4>
|
|
<p><code>matrix_container<coordinate_matrix<T, F, IB, IA,
|
|
TA> ></code></p>
|
|
<h4>Members</h4>
|
|
<table border="1" summary="members">
|
|
<tbody>
|
|
<tr>
|
|
<th>Member</th>
|
|
<th>Description</th>
|
|
</tr>
|
|
<tr>
|
|
<td><code>coordinate_matrix ()</code></td>
|
|
<td>Allocates a <code>coordinate_matrix</code> that holds at most
|
|
zero rows of zero elements.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>coordinate_matrix (size_type size1, size_type2, size_type non_zeros = 0)</code></td>
|
|
<td>Allocates a <code>coordinate_matrix</code> that holds at most
|
|
<code>size1</code> rows of <code>size2</code> elements.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>coordinate_matrix (const coordinate_matrix
|
|
&m)</code></td>
|
|
<td>The copy constructor.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>template<class AE><br />
|
|
coordinate_matrix (size_type non_zeros, const
|
|
matrix_expression<AE> &ae)</code></td>
|
|
<td>The extended copy constructor.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>void resize (size_type size1, size_type size2, bool preserve = true)</code></td>
|
|
<td>Reallocates a <code>coordinate_matrix</code> to hold at most
|
|
<code>size1</code> rows of <code>size2</code> elements. The
|
|
existing elements of the <code>coordinate_matrix</code> are
|
|
preseved when specified.</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>coordinate_matrix &operator = (const
|
|
coordinate_matrix &m)</code></td>
|
|
<td>The assignment operator.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>coordinate_matrix &assign_temporary
|
|
(coordinate_matrix &m)</code></td>
|
|
<td>Assigns a temporary. May change the coordinate matrix
|
|
<code>m</code>.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>template<class AE><br />
|
|
coordinate_matrix &operator = (const
|
|
matrix_expression<AE> &ae)</code></td>
|
|
<td>The extended assignment operator.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>template<class AE><br />
|
|
coordinate_matrix &assign (const matrix_expression<AE>
|
|
&ae)</code></td>
|
|
<td>Assigns a matrix expression to the coordinate matrix. Left and
|
|
right hand side of the assignment should be independent.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>template<class AE><br />
|
|
coordinate_matrix &operator += (const
|
|
matrix_expression<AE> &ae)</code></td>
|
|
<td>A computed assignment operator. Adds the matrix expression to
|
|
the coordinate matrix.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>template<class AE><br />
|
|
coordinate_matrix &plus_assign (const
|
|
matrix_expression<AE> &ae)</code></td>
|
|
<td>Adds a matrix expression to the coordinate matrix. Left and
|
|
right hand side of the assignment should be independent.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>template<class AE><br />
|
|
coordinate_matrix &operator -= (const
|
|
matrix_expression<AE> &ae)</code></td>
|
|
<td>A computed assignment operator. Subtracts the matrix expression
|
|
from the coordinate matrix.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>template<class AE><br />
|
|
coordinate_matrix &minus_assign (const
|
|
matrix_expression<AE> &ae)</code></td>
|
|
<td>Subtracts a matrix expression from the coordinate matrix. Left
|
|
and right hand side of the assignment should be independent.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>template<class AT><br />
|
|
coordinate_matrix &operator *= (const AT &at)</code></td>
|
|
<td>A computed assignment operator. Multiplies the coordinate
|
|
matrix with a scalar.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>template<class AT><br />
|
|
coordinate_matrix &operator /= (const AT &at)</code></td>
|
|
<td>A computed assignment operator. Divides the coordinate matrix
|
|
through a scalar.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>void swap (coordinate_matrix &m)</code></td>
|
|
<td>Swaps the contents of the coordinate matrices.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>true_reference insert_element (size_type i, size_type j, const_reference
|
|
t)</code></td>
|
|
<td>Inserts the value <code>t</code> at the <code>j</code>-th
|
|
element of the <code>i</code>-th row. Duplicates elements are not allowed.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>void append_element (size_type i, size_type j, const_reference t)</code></td>
|
|
<td>Appends the value <code>t</code> at the <code>j</code>-th element of the <code>i</code>-th row.
|
|
Duplicate elements can be appended to a <code>coordinate_matrix</code>. They are merged into a single
|
|
arithmetically summed element by the <code>sort</code> function.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>void erase_element (size_type i, size_type j)</code></td>
|
|
<td>Erases the value at the <code>j</code>-th element of the
|
|
<code>i</code>-th row.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>void clear ()</code></td>
|
|
<td>Clears the coordinate matrix.</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>coordinate_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>coordinate_matrix</code>.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>iterator1 begin1 ()</code></td>
|
|
<td>Returns a <code>iterator1</code> pointing to the beginning of
|
|
the <code>coordinate_matrix</code>.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>iterator1 end1 ()</code></td>
|
|
<td>Returns a <code>iterator1</code> pointing to the end of the
|
|
<code>coordinate_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>coordinate_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>coordinate_matrix</code>.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>iterator2 begin2 ()</code></td>
|
|
<td>Returns a <code>iterator2</code> pointing to the beginning of
|
|
the <code>coordinate_matrix</code>.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>iterator2 end2 ()</code></td>
|
|
<td>Returns a <code>iterator2</code> pointing to the end of the
|
|
<code>coordinate_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>coordinate_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>coordinate_matrix</code>.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>reverse_iterator1 rbegin1 ()</code></td>
|
|
<td>Returns a <code>reverse_iterator1</code> pointing to the
|
|
beginning of the reversed <code>coordinate_matrix</code>.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>reverse_iterator1 rend1 ()</code></td>
|
|
<td>Returns a <code>reverse_iterator1</code> pointing to the end of
|
|
the reversed <code>coordinate_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>coordinate_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>coordinate_matrix</code>.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>reverse_iterator2 rbegin2 ()</code></td>
|
|
<td>Returns a <code>reverse_iterator2</code> pointing to the
|
|
beginning of the reversed <code>coordinate_matrix</code>.</td>
|
|
</tr>
|
|
<tr>
|
|
<td><code>reverse_iterator2 rend2 ()</code></td>
|
|
<td>Returns a <code>reverse_iterator2</code> pointing to the end of
|
|
the reversed <code>coordinate_matrix</code>.</td>
|
|
</tr>
|
|
</tbody>
|
|
</table>
|
|
<h4>Notes</h4>
|
|
<p><a name="coordinate_matrix_1">[1]</a>
|
|
Supported parameters for the storage organization are
|
|
<code>row_major</code> and <code>column_major</code>.</p>
|
|
<p><a name="coordinate_matrix_2">[2]</a>
|
|
Supported parameters for the index base are <code>0</code> and
|
|
<code>1</code> at least.</p>
|
|
<p><a name="coordinate_matrix_3">[3]</a>
|
|
Supported parameters for the adapted array are
|
|
<code>unbounded_array<></code> ,
|
|
<code>bounded_array<></code> and
|
|
<code>std::vector<></code> .</p>
|
|
<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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