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Bill Somerville
@@ -0,0 +1,983 @@
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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN"
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"http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
|
||||
<html xmlns="http://www.w3.org/1999/xhtml">
|
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<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)
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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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||||
}
|
||||
</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>
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||||
<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 />
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||||
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">
|
||||
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|
||||
$('#toc').toc();
|
||||
})(jQuery);
|
||||
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|
||||
</body>
|
||||
</html>
|
||||
Reference in New Issue
Block a user