mirror of
				https://github.com/saitohirga/WSJT-X.git
				synced 2025-11-03 21:40:52 -05:00 
			
		
		
		
	
		
			
	
	
		
			984 lines
		
	
	
		
			33 KiB
		
	
	
	
		
			HTML
		
	
	
	
	
	
		
		
			
		
	
	
			984 lines
		
	
	
		
			33 KiB
		
	
	
	
		
			HTML
		
	
	
	
	
	
| 
								 | 
							
								<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN"
							 | 
						||
| 
								 | 
							
								    "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
							 | 
						||
| 
								 | 
							
								<html xmlns="http://www.w3.org/1999/xhtml">
							 | 
						||
| 
								 | 
							
								<head>
							 | 
						||
| 
								 | 
							
								<meta name="generator" content=
							 | 
						||
| 
								 | 
							
								"HTML Tidy for Linux/x86 (vers 1st March 2004), see www.w3.org" />
							 | 
						||
| 
								 | 
							
								<meta http-equiv="Content-Type" content=
							 | 
						||
| 
								 | 
							
								"text/html; charset=us-ascii" />
							 | 
						||
| 
								 | 
							
								<link rel="stylesheet" href="../../../../boost.css" type="text/css"/>
							 | 
						||
| 
								 | 
							
								<link rel="stylesheet" href="ublas.css" type="text/css" />
							 | 
						||
| 
								 | 
							
								<script type="text/javascript" src="js/jquery-1.3.2.min.js" async="async" ></script>
							 | 
						||
| 
								 | 
							
								<script type="text/javascript" src="js/jquery.toc-gw.js" async="async" ></script>
							 | 
						||
| 
								 | 
							
								<title>Sparse Matrix</title>
							 | 
						||
| 
								 | 
							
								</head>
							 | 
						||
| 
								 | 
							
								<body>
							 | 
						||
| 
								 | 
							
								<h1><img src="../../../../boost.png" align="middle" />Sparse Matricies</h1>
							 | 
						||
| 
								 | 
							
								<div class="toc" id="toc"></div>
							 | 
						||
| 
								 | 
							
								<h2><a name="mapped_matrix"></a>Mapped Matrix</h2>
							 | 
						||
| 
								 | 
							
								<h4>Description</h4>
							 | 
						||
| 
								 | 
							
								<p>The templated class <code>mapped_matrix<T, F, A></code> is
							 | 
						||
| 
								 | 
							
								the base container adaptor for sparse matricies using element maps.
							 | 
						||
| 
								 | 
							
								For a <em>(m xn</em>)-dimensional sparse 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 associative
							 | 
						||
| 
								 | 
							
								container, 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;
							 | 
						||
| 
								 | 
							
								    mapped_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 mapped matrix.</td>
							 | 
						||
| 
								 | 
							
								<td></td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr>
							 | 
						||
| 
								 | 
							
								<td><code>F</code></td>
							 | 
						||
| 
								 | 
							
								<td>Functor describing the storage organization. <a href=
							 | 
						||
| 
								 | 
							
								"#mapped_matrix_1">[1]</a></td>
							 | 
						||
| 
								 | 
							
								<td><code>row_major</code></td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr>
							 | 
						||
| 
								 | 
							
								<td><code>A</code></td>
							 | 
						||
| 
								 | 
							
								<td>The type of the adapted array. <a href=
							 | 
						||
| 
								 | 
							
								"#mapped_matrix_2">[2]</a></td>
							 | 
						||
| 
								 | 
							
								<td><code>map_std<std::size_t, 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<mapped_matrix<T, F, A>
							 | 
						||
| 
								 | 
							
								></code></p>
							 | 
						||
| 
								 | 
							
								<h4>Members</h4>
							 | 
						||
| 
								 | 
							
								<table border="1" summary="members">
							 | 
						||
| 
								 | 
							
								<tbody>
							 | 
						||
| 
								 | 
							
								<tr>
							 | 
						||
| 
								 | 
							
								<th>Member</th>
							 | 
						||
| 
								 | 
							
								<th>Description</th>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr>
							 | 
						||
| 
								 | 
							
								<td><code>mapped_matrix ()</code></td>
							 | 
						||
| 
								 | 
							
								<td>Allocates a <code>mapped_matrix</code> that holds at most zero
							 | 
						||
| 
								 | 
							
								rows of zero elements.</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr>
							 | 
						||
| 
								 | 
							
								<td><code>mapped_matrix (size_type size1, size_type2, size_type non_zeros = 0)</code></td>
							 | 
						||
| 
								 | 
							
								<td>Allocates a <code>mapped_matrix</code> that holds at most
							 | 
						||
| 
								 | 
							
								<code>size1</code> rows of <code>size2</code> elements.</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr>
							 | 
						||
| 
								 | 
							
								<td><code>mapped_matrix (const mapped_matrix &m)</code></td>
							 | 
						||
| 
								 | 
							
								<td>The copy constructor.</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr>
							 | 
						||
| 
								 | 
							
								<td><code>template<class AE><br />
							 | 
						||
| 
								 | 
							
								mapped_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>mapped_matrix</code> to hold at most
							 | 
						||
| 
								 | 
							
								<code>size1</code> rows of <code>size2</code> elements. The
							 | 
						||
| 
								 | 
							
								existing elements of the <code>mapped_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>mapped_matrix &operator = (const mapped_matrix
							 | 
						||
| 
								 | 
							
								&m)</code></td>
							 | 
						||
| 
								 | 
							
								<td>The assignment operator.</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr>
							 | 
						||
| 
								 | 
							
								<td><code>mapped_matrix &assign_temporary (mapped_matrix
							 | 
						||
| 
								 | 
							
								&m)</code></td>
							 | 
						||
| 
								 | 
							
								<td>Assigns a temporary. May change the mapped matrix
							 | 
						||
| 
								 | 
							
								<code>m</code> .</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr>
							 | 
						||
| 
								 | 
							
								<td><code>template<class AE><br />
							 | 
						||
| 
								 | 
							
								mapped_matrix &operator = (const matrix_expression<AE>
							 | 
						||
| 
								 | 
							
								&ae)</code></td>
							 | 
						||
| 
								 | 
							
								<td>The extended assignment operator.</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr>
							 | 
						||
| 
								 | 
							
								<td><code>template<class AE><br />
							 | 
						||
| 
								 | 
							
								mapped_matrix &assign (const matrix_expression<AE>
							 | 
						||
| 
								 | 
							
								&ae)</code></td>
							 | 
						||
| 
								 | 
							
								<td>Assigns a matrix expression to the mapped matrix. Left and
							 | 
						||
| 
								 | 
							
								right hand side of the assignment should be independent.</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr>
							 | 
						||
| 
								 | 
							
								<td><code>template<class AE><br />
							 | 
						||
| 
								 | 
							
								mapped_matrix &operator += (const matrix_expression<AE>
							 | 
						||
| 
								 | 
							
								&ae)</code></td>
							 | 
						||
| 
								 | 
							
								<td>A computed assignment operator. Adds the matrix expression to
							 | 
						||
| 
								 | 
							
								the mapped matrix.</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr>
							 | 
						||
| 
								 | 
							
								<td><code>template<class AE><br />
							 | 
						||
| 
								 | 
							
								mapped_matrix &plus_assign (const matrix_expression<AE>
							 | 
						||
| 
								 | 
							
								&ae)</code></td>
							 | 
						||
| 
								 | 
							
								<td>Adds a matrix expression to the mapped matrix. Left and right
							 | 
						||
| 
								 | 
							
								hand side of the assignment should be independent.</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr>
							 | 
						||
| 
								 | 
							
								<td><code>template<class AE><br />
							 | 
						||
| 
								 | 
							
								mapped_matrix &operator -= (const matrix_expression<AE>
							 | 
						||
| 
								 | 
							
								&ae)</code></td>
							 | 
						||
| 
								 | 
							
								<td>A computed assignment operator. Subtracts the matrix expression
							 | 
						||
| 
								 | 
							
								from the mapped matrix.</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr>
							 | 
						||
| 
								 | 
							
								<td><code>template<class AE><br />
							 | 
						||
| 
								 | 
							
								mapped_matrix &minus_assign (const matrix_expression<AE>
							 | 
						||
| 
								 | 
							
								&ae)</code></td>
							 | 
						||
| 
								 | 
							
								<td>Subtracts a matrix expression from the mapped matrix. Left and
							 | 
						||
| 
								 | 
							
								right hand side of the assignment should be independent.</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr>
							 | 
						||
| 
								 | 
							
								<td><code>template<class AT><br />
							 | 
						||
| 
								 | 
							
								mapped_matrix &operator *= (const AT &at)</code></td>
							 | 
						||
| 
								 | 
							
								<td>A computed assignment operator. Multiplies the mapped matrix
							 | 
						||
| 
								 | 
							
								with a scalar.</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr>
							 | 
						||
| 
								 | 
							
								<td><code>template<class AT><br />
							 | 
						||
| 
								 | 
							
								mapped_matrix &operator /= (const AT &at)</code></td>
							 | 
						||
| 
								 | 
							
								<td>A computed assignment operator. Divides the mapped matrix
							 | 
						||
| 
								 | 
							
								through a scalar.</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr>
							 | 
						||
| 
								 | 
							
								<td><code>void swap (mapped_matrix &m)</code></td>
							 | 
						||
| 
								 | 
							
								<td>Swaps the contents of the mapped matrices.</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr>
							 | 
						||
| 
								 | 
							
								<td><code>true_refrence 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 mapped 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>mapped_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>mapped_matrix</code>.</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr>
							 | 
						||
| 
								 | 
							
								<td><code>iterator1 begin1 ()</code></td>
							 | 
						||
| 
								 | 
							
								<td>Returns a <code>iterator1</code> pointing to the beginning of
							 | 
						||
| 
								 | 
							
								the <code>mapped_matrix</code>.</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr>
							 | 
						||
| 
								 | 
							
								<td><code>iterator1 end1 ()</code></td>
							 | 
						||
| 
								 | 
							
								<td>Returns a <code>iterator1</code> pointing to the end of the
							 | 
						||
| 
								 | 
							
								<code>mapped_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>mapped_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>mapped_matrix</code>.</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr>
							 | 
						||
| 
								 | 
							
								<td><code>iterator2 begin2 ()</code></td>
							 | 
						||
| 
								 | 
							
								<td>Returns a <code>iterator2</code> pointing to the beginning of
							 | 
						||
| 
								 | 
							
								the <code>mapped_matrix</code>.</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr>
							 | 
						||
| 
								 | 
							
								<td><code>iterator2 end2 ()</code></td>
							 | 
						||
| 
								 | 
							
								<td>Returns a <code>iterator2</code> pointing to the end of the
							 | 
						||
| 
								 | 
							
								<code>mapped_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>mapped_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>mapped_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>mapped_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>mapped_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>mapped_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>mapped_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>mapped_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>mapped_matrix</code>.</td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								</tbody>
							 | 
						||
| 
								 | 
							
								</table>
							 | 
						||
| 
								 | 
							
								<h4>Notes</h4>
							 | 
						||
| 
								 | 
							
								<p><a name="mapped_matrix_1">[1]</a> Supported
							 | 
						||
| 
								 | 
							
								parameters for the storage organization are <code>row_major</code>
							 | 
						||
| 
								 | 
							
								and <code>column_major</code>.</p>
							 | 
						||
| 
								 | 
							
								<p><a name="mapped_matrix_2">[2]</a> Supported
							 | 
						||
| 
								 | 
							
								parameters for the adapted array are
							 | 
						||
| 
								 | 
							
								<code>map_array<std::size_t, T></code> and
							 | 
						||
| 
								 | 
							
								<code>map_std<std::size_t, T></code>. The latter is
							 | 
						||
| 
								 | 
							
								equivalent to <code>std::map<std::size_t, T></code>.</p>
							 | 
						||
| 
								 | 
							
								<h2><a name="compressed_matrix"></a>Compressed Matrix</h2>
							 | 
						||
| 
								 | 
							
								<h4>Description</h4>
							 | 
						||
| 
								 | 
							
								<p>The templated class <code>compressed_matrix<T, F, IB, IA,
							 | 
						||
| 
								 | 
							
								TA></code> is the base container adaptor for compressed
							 | 
						||
| 
								 | 
							
								matrices. For a <em>(m x n</em> )-dimensional compressed 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;
							 | 
						||
| 
								 | 
							
								    compressed_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 compressed matrix.</td>
							 | 
						||
| 
								 | 
							
								<td></td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr>
							 | 
						||
| 
								 | 
							
								<td><code>F</code></td>
							 | 
						||
| 
								 | 
							
								<td>Functor describing the storage organization. <a href=
							 | 
						||
| 
								 | 
							
								"#compressed_matrix_1">[1]</a></td>
							 | 
						||
| 
								 | 
							
								<td><code>row_major</code></td>
							 | 
						||
| 
								 | 
							
								</tr>
							 | 
						||
| 
								 | 
							
								<tr>
							 | 
						||
| 
								 | 
							
								<td><code>IB</code></td>
							 | 
						||
| 
								 | 
							
								<td>The index base of the compressed vector. <a href=
							 | 
						||
| 
								 | 
							
								"#compressed_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=
							 | 
						||
| 
								 | 
							
								"#compressed_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=
							 | 
						||
| 
								 | 
							
								"#compressed_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<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>
							 | 
						||
| 
								 | 
							
								<script type="text/javascript">
							 | 
						||
| 
								 | 
							
								(function($) {
							 | 
						||
| 
								 | 
							
								    $('#toc').toc();
							 | 
						||
| 
								 | 
							
								})(jQuery);
							 | 
						||
| 
								 | 
							
								</script>
							 | 
						||
| 
								 | 
							
								</body>
							 | 
						||
| 
								 | 
							
								</html>
							 |