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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN"
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+"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 href="ublas.css" type="text/css" />
+<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>
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+<body>
+<h1><img src="../../../../boost.png" align="middle" />Sparse Vector</h1>
+<div class="toc" id="toc"></div>
+<h2><a name="mapped_vector"></a>Mapped Vector</h2>
+<h4>Description</h4>
+<p>The templated class <code>mapped_vector<T, A></code> is
+the base container adaptor for sparse vectors using element maps. For a
+<em>n</em>-dimensional sparse vector and <em>0 <= i < n</em>
+the non-zero elements <em>v</em><sub><em>i</em></sub> are mapped to
+consecutive elements of the associative container, i.e. for
+elements <em>k</em> =
+<em>v</em><sub><em>i</em></sub><sub><sub><em>1</em></sub></sub>and
+<em>k + 1 =
+v</em><sub><em>i</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>.</p>
+<h4>Example</h4>
+<pre>
+#include <boost/numeric/ublas/vector_sparse.hpp>
+#include <boost/numeric/ublas/io.hpp>
+
+int main () {
+ using namespace boost::numeric::ublas;
+ mapped_vector<double> v (3, 3);
+ for (unsigned i = 0; i < v.size (); ++ i)
+ v (i) = i;
+ std::cout << v << std::endl;
+}
+</pre>
+<h4>Definition</h4>
+<p>Defined in the header vector_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 vector.</td>
+<td></td>
+</tr>
+<tr>
+<td><code>A</code></td>
+<td>The type of the adapted array. <a href=
+"#mapped_vector_1">[1]</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#vector">Vector</a> .</p>
+<h4>Type requirements</h4>
+<p>None, except for those imposed by the requirements of <a href=
+"container_concept.html#vector">Vector</a> .</p>
+<h4>Public base classes</h4>
+<p><code>vector_container<mapped_vector<T, A>
+></code></p>
+<h4>Members</h4>
+<table border="1" summary="members">
+<tbody>
+<tr>
+<th>Member</th>
+<th>Description</th>
+</tr>
+<tr>
+<td><code>mapped_vector ()</code></td>
+<td>Allocates a <code>mapped_vector</code> that holds zero
+elements.</td>
+</tr>
+<tr>
+<td><code>mapped_vector (size_type size, size_type
+non_zeros = 0)</code></td>
+<td>Allocates a <code>mapped_vector</code> that holds at most
+<code>size</code> elements.</td>
+</tr>
+<tr>
+<td><code>mapped_vector (const mapped_vector &v)</code></td>
+<td>The copy constructor.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+mapped_vector (size_type non_zeros, const
+vector_expression<AE> &ae)</code></td>
+<td>The extended copy constructor.</td>
+</tr>
+<tr>
+<td><code>void resize (size_type size, bool
+preserve = true)</code></td>
+<td>Reallocates a <code>mapped_vector</code> to hold at most
+<code>size</code> elements. The existing elements of the
+<code>mapped_vector</code> are preseved when specified.</td>
+</tr>
+<tr>
+<td><code>size_type size () const</code></td>
+<td>Returns the size of the <code>mapped_vector</code>.</td>
+</tr>
+<tr>
+<td><code>const_reference operator () (size_type i)
+const</code></td>
+<td>Returns the value of the <code>i</code>-th element.</td>
+</tr>
+<tr>
+<td><code>reference operator () (size_type i)</code></td>
+<td>Returns a reference of the <code>i</code>-th element.</td>
+</tr>
+<tr>
+<td><code>const_reference operator [] (size_type i)
+const</code></td>
+<td>Returns the value of the <code>i</code>-th element.</td>
+</tr>
+<tr>
+<td><code>reference operator [] (size_type i)</code></td>
+<td>Returns a reference of the <code>i</code>-th element.</td>
+</tr>
+<tr>
+<td><code>mapped_vector &operator = (const mapped_vector
+&v)</code></td>
+<td>The assignment operator.</td>
+</tr>
+<tr>
+<td><code>mapped_vector &assign_temporary (mapped_vector
+&v)</code></td>
+<td>Assigns a temporary. May change the mapped vector
+<code>v</code> .</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+mapped_vector &operator = (const vector_expression<AE>
+&ae)</code></td>
+<td>The extended assignment operator.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+mapped_vector &assign (const vector_expression<AE>
+&ae)</code></td>
+<td>Assigns a vector expression to the mapped vector. Left and
+right hand side of the assignment should be independent.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+mapped_vector &operator += (const vector_expression<AE>
+&ae)</code></td>
+<td>A computed assignment operator. Adds the vector expression to
+the mapped vector.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+mapped_vector &plus_assign (const vector_expression<AE>
+&ae)</code></td>
+<td>Adds a vector expression to the mapped vector. Left and right
+hand side of the assignment should be independent.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+mapped_vector &operator -= (const vector_expression<AE>
+&ae)</code></td>
+<td>A computed assignment operator. Subtracts the vector expression
+from the mapped vector.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+mapped_vector &minus_assign (const vector_expression<AE>
+&ae)</code></td>
+<td>Subtracts a vector expression from the mapped vector. Left and
+right hand side of the assignment should be independent.</td>
+</tr>
+<tr>
+<td><code>template<class AT><br />
+mapped_vector &operator *= (const AT &at)</code></td>
+<td>A computed assignment operator. Multiplies the mapped vector
+with a scalar.</td>
+</tr>
+<tr>
+<td><code>template<class AT><br />
+mapped_vector &operator /= (const AT &at)</code></td>
+<td>A computed assignment operator. Divides the mapped vector
+through a scalar.</td>
+</tr>
+<tr>
+<td><code>void swap (mapped_vector &v)</code></td>
+<td>Swaps the contents of the mapped vectors.</td>
+</tr>
+<tr>
+<td><code>true_reference insert_element (size_type i, const_reference t)</code></td>
+<td>Inserts the value <code>t</code> at the <code>i</code>-th
+element. Duplicates elements are not allowed.</td>
+</tr>
+<tr>
+<td><code>void erase_element (size_type i)</code></td>
+<td>Erases the value at the <code>i</code>-th element.</td>
+</tr>
+<tr>
+<td><code>void clear ()</code></td>
+<td>Clears the mapped vector.</td>
+</tr>
+<tr>
+<td><code>const_iterator begin () const</code></td>
+<td>Returns a <code>const_iterator</code> pointing to the beginning
+of the <code>mapped_vector</code>.</td>
+</tr>
+<tr>
+<td><code>const_iterator end () const</code></td>
+<td>Returns a <code>const_iterator</code> pointing to the end of
+the <code>mapped_vector</code>.</td>
+</tr>
+<tr>
+<td><code>iterator begin ()</code></td>
+<td>Returns a <code>iterator</code> pointing to the beginning of
+the <code>mapped_vector</code>.</td>
+</tr>
+<tr>
+<td><code>iterator end ()</code></td>
+<td>Returns a <code>iterator</code> pointing to the end of the
+<code>mapped_vector</code>.</td>
+</tr>
+<tr>
+<td><code>const_reverse_iterator rbegin () const</code></td>
+<td>Returns a <code>const_reverse_iterator</code> pointing to the
+beginning of the reversed <code>mapped_vector</code>.</td>
+</tr>
+<tr>
+<td><code>const_reverse_iterator rend () const</code></td>
+<td>Returns a <code>const_reverse_iterator</code> pointing to the
+end of the reversed <code>mapped_vector</code>.</td>
+</tr>
+<tr>
+<td><code>reverse_iterator rbegin ()</code></td>
+<td>Returns a <code>reverse_iterator</code> pointing to the
+beginning of the reversed <code>mapped_vector</code>.</td>
+</tr>
+<tr>
+<td><code>reverse_iterator rend ()</code></td>
+<td>Returns a <code>reverse_iterator</code> pointing to the end of
+the reversed <code>mapped_vector</code>.</td>
+</tr>
+</tbody>
+</table>
+<h4>Notes</h4>
+<p><a name="mapped_vector_1">[1]</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_vector"></a>Compressed Vector</h2>
+<h4>Description</h4>
+<p>The templated class <code>compressed_vector<T, IB, IA,
+TA></code> is the base container adaptor for compressed vectors.
+For a <em>n</em>-dimensional compressed vector and <em>0 <= i
+< n</em> the non-zero elements <em>v</em><sub><em>i</em></sub>
+are mapped to consecutive elements of the index and value
+container, i.e. for elements <em>k</em> =
+<em>v</em><sub><em>i</em></sub><sub><sub><em>1</em></sub></sub>and
+<em>k + 1 =
+v</em><sub><em>i</em></sub><sub><sub><em>2</em></sub></sub>of these
+containers holds <em>i</em><sub><em>1</em></sub> <em><
+i</em><sub><em>2</em></sub>.</p>
+<h4>Example</h4>
+<pre>
+#include <boost/numeric/ublas/vector_sparse.hpp>
+#include <boost/numeric/ublas/io.hpp>
+
+int main () {
+ using namespace boost::numeric::ublas;
+ compressed_vector<double> v (3, 3);
+ for (unsigned i = 0; i < v.size (); ++ i)
+ v (i) = i;
+ std::cout << v << std::endl;
+}
+</pre>
+<h4>Definition</h4>
+<p>Defined in the header vector_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 vector.</td>
+<td></td>
+</tr>
+<tr>
+<td><code>IB</code></td>
+<td>The index base of the compressed vector. <a href=
+"#compressed_vector_1">[1]</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_vector_2">[2]</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_vector_2">[2]</a></td>
+<td><code>unbounded_array<T></code></td>
+</tr>
+</tbody>
+</table>
+<h4>Model of</h4>
+<p><a href="container_concept.html#vector">Vector</a> .</p>
+<h4>Type requirements</h4>
+<p>None, except for those imposed by the requirements of <a href=
+"container_concept.html#vector">Vector</a> .</p>
+<h4>Public base classes</h4>
+<p><code>vector_container<compressed_vector<T, 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_vector ()</code></td>
+<td>Allocates a <code>compressed_vector</code> that holds zero
+elements.</td>
+</tr>
+<tr>
+<td><code>compressed_vector (size_type size, size_type
+non_zeros)</code></td>
+<td>Allocates a <code>compressed_vector</code> that holds at most
+<code>size</code> elements.</td>
+</tr>
+<tr>
+<td><code>compressed_vector (const compressed_vector
+&v)</code></td>
+<td>The copy constructor.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+compressed_vector (size_type non_zeros, const
+vector_expression<AE> &ae)</code></td>
+<td>The extended copy constructor.</td>
+</tr>
+<tr>
+<td><code>void resize (size_type size, bool
+preserve = true)</code></td>
+<td>Reallocates a <code>compressed_vector</code> to hold at most
+<code>size</code> elements. The existing elements of the
+<code>compress_vector</code> are preseved when specified.</td>
+</tr>
+<tr>
+<td><code>size_type size () const</code></td>
+<td>Returns the size of the <code>compressed_vector</code>.</td>
+</tr>
+<tr>
+<td><code>const_reference operator () (size_type i)
+const</code></td>
+<td>Returns the value of the <code>i</code>-th element.</td>
+</tr>
+<tr>
+<td><code>reference operator () (size_type i)</code></td>
+<td>Returns a reference of the <code>i</code>-th element.</td>
+</tr>
+<tr>
+<td><code>const_reference operator [] (size_type i)
+const</code></td>
+<td>Returns the value of the <code>i</code>-th element.</td>
+</tr>
+<tr>
+<td><code>reference operator [] (size_type i)</code></td>
+<td>Returns a reference of the <code>i</code>-th element.</td>
+</tr>
+<tr>
+<td><code>compressed_vector &operator = (const
+compressed_vector &v)</code></td>
+<td>The assignment operator.</td>
+</tr>
+<tr>
+<td><code>compressed_vector &assign_temporary
+(compressed_vector &v)</code></td>
+<td>Assigns a temporary. May change the compressed vector
+<code>v</code>.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+compressed_vector &operator = (const
+vector_expression<AE> &ae)</code></td>
+<td>The extended assignment operator.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+compressed_vector &assign (const vector_expression<AE>
+&ae)</code></td>
+<td>Assigns a vector expression to the compressed vector. Left and
+right hand side of the assignment should be independent.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+compressed_vector &operator += (const
+vector_expression<AE> &ae)</code></td>
+<td>A computed assignment operator. Adds the vector expression to
+the compressed vector.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+compressed_vector &plus_assign (const
+vector_expression<AE> &ae)</code></td>
+<td>Adds a vector expression to the compressed vector. Left and
+right hand side of the assignment should be independent.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+compressed_vector &operator -= (const
+vector_expression<AE> &ae)</code></td>
+<td>A computed assignment operator. Subtracts the vector expression
+from the compressed vector.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+compressed_vector &minus_assign (const
+vector_expression<AE> &ae)</code></td>
+<td>Subtracts a vector expression from the compressed vector. Left
+and right hand side of the assignment should be independent.</td>
+</tr>
+<tr>
+<td><code>template<class AT><br />
+compressed_vector &operator *= (const AT &at)</code></td>
+<td>A computed assignment operator. Multiplies the compressed
+vector with a scalar.</td>
+</tr>
+<tr>
+<td><code>template<class AT><br />
+compressed_vector &operator /= (const AT &at)</code></td>
+<td>A computed assignment operator. Divides the compressed vector
+through a scalar.</td>
+</tr>
+<tr>
+<td><code>void swap (compressed_vector &v)</code></td>
+<td>Swaps the contents of the compressed vectors.</td>
+</tr>
+<tr>
+<td><code>true_reference insert_element (size_type i, const_reference t)</code></td>
+<td>Inserts the value <code>t</code> at the <code>i</code>-th
+element. Duplicates elements are not allowed.</td>
+</tr>
+<tr>
+<td><code>void erase_element (size_type i)</code></td>
+<td>Erases the value at the <code>i</code>-th element.</td>
+</tr>
+<tr>
+<td><code>void clear ()</code></td>
+<td>Clears the compressed vector.</td>
+</tr>
+<tr>
+<td><code>const_iterator begin () const</code></td>
+<td>Returns a <code>const_iterator</code> pointing to the beginning
+of the <code>compressed_vector</code>.</td>
+</tr>
+<tr>
+<td><code>const_iterator end () const</code></td>
+<td>Returns a <code>const_iterator</code> pointing to the end of
+the <code>compressed_vector</code>.</td>
+</tr>
+<tr>
+<td><code>iterator begin ()</code></td>
+<td>Returns a <code>iterator</code> pointing to the beginning of
+the <code>compressed_vector</code>.</td>
+</tr>
+<tr>
+<td><code>iterator end ()</code></td>
+<td>Returns a <code>iterator</code> pointing to the end of the
+<code>compressed_vector</code>.</td>
+</tr>
+<tr>
+<td><code>const_reverse_iterator rbegin () const</code></td>
+<td>Returns a <code>const_reverse_iterator</code> pointing to the
+beginning of the reversed <code>compressed_vector</code>.</td>
+</tr>
+<tr>
+<td><code>const_reverse_iterator rend () const</code></td>
+<td>Returns a <code>const_reverse_iterator</code> pointing to the
+end of the reversed <code>compressed_vector</code>.</td>
+</tr>
+<tr>
+<td><code>reverse_iterator rbegin ()</code></td>
+<td>Returns a <code>reverse_iterator</code> pointing to the
+beginning of the reversed <code>compressed_vector</code>.</td>
+</tr>
+<tr>
+<td><code>reverse_iterator rend ()</code></td>
+<td>Returns a <code>reverse_iterator</code> pointing to the end of
+the reversed <code>compressed_vector</code>.</td>
+</tr>
+</tbody>
+</table>
+<h4>Notes</h4>
+<p><a name="compressed_vector_1">[1]</a>
+Supported parameters for the index base are <code>0</code> and
+<code>1</code> at least.</p>
+<p><a name="compressed_vector_2">[2]</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_vector"></a>Coordinate Vector</h2>
+<h4>Description</h4>
+<p>The templated class <code>coordinate_vector<T, IB, IA,
+TA></code> is the base container adaptor for compressed vectors.
+For a <em>n</em>-dimensional sorted coordinate vector and <em>0
+<= i < n</em> the non-zero elements
+<em>v</em><sub><em>i</em></sub> are mapped to consecutive elements
+of the index and value container, i.e. for elements <em>k</em> =
+<em>v</em><sub><em>i</em></sub><sub><sub><em>1</em></sub></sub>and
+<em>k + 1 =
+v</em><sub><em>i</em></sub><sub><sub><em>2</em></sub></sub>of these
+containers holds <em>i</em><sub><em>1</em></sub> <em><
+i</em><sub><em>2</em></sub>.</p>
+<h4>Example</h4>
+<pre>
+#include <boost/numeric/ublas/vector_sparse.hpp>
+#include <boost/numeric/ublas/io.hpp>
+
+int main () {
+ using namespace boost::numeric::ublas;
+ coordinate_vector<double> v (3, 3);
+ for (unsigned i = 0; i < v.size (); ++ i)
+ v (i) = i;
+ std::cout << v << std::endl;
+}
+</pre>
+<h4>Definition</h4>
+<p>Defined in the header vector_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 vector.</td>
+<td></td>
+</tr>
+<tr>
+<td><code>IB</code></td>
+<td>The index base of the coordinate vector. <a href=
+"#coordinate_vector_1">[1]</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_vector_2">[2]</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_vector_2">[2]</a></td>
+<td><code>unbounded_array<T></code></td>
+</tr>
+</tbody>
+</table>
+<h4>Model of</h4>
+<p><a href="container_concept.html#vector">Vector</a> .</p>
+<h4>Type requirements</h4>
+<p>None, except for those imposed by the requirements of <a href=
+"container_concept.html#vector">Vector</a> .</p>
+<h4>Public base classes</h4>
+<p><code>vector_container<coordinate_vector<T, 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_vector ()</code></td>
+<td>Allocates a <code>coordinate_vector</code> that holds zero
+elements.</td>
+</tr>
+<tr>
+<td><code>coordinate_vector (size_type size, size_type
+non_zeros)</code></td>
+<td>Allocates a <code>coordinate_vector</code> that holds at most
+<code>size</code> elements.</td>
+</tr>
+<tr>
+<td><code>coordinate_vector (const coordinate_vector
+&v)</code></td>
+<td>The copy constructor.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+coordinate_vector (size_type non_zeros, const
+vector_expression<AE> &ae)</code></td>
+<td>The extended copy constructor.</td>
+</tr>
+<tr>
+<td><code>void resize (size_type size, bool
+preserve = true)</code></td>
+<td>Reallocates a <code>coordinate_vector</code> to hold at most
+<code>size</code> elements. The existing elements of the
+<code>coordinate_vector</code> are preseved when specified.</td>
+</tr>
+<tr>
+<td><code>size_type size () const</code></td>
+<td>Returns the size of the <code>coordinate_vector</code>.</td>
+</tr>
+<tr>
+<td><code>const_reference operator () (size_type i)
+const</code></td>
+<td>Returns the value of the <code>i</code>-th element.</td>
+</tr>
+<tr>
+<td><code>reference operator () (size_type i)</code></td>
+<td>Returns a reference of the <code>i</code>-th element.</td>
+</tr>
+<tr>
+<td><code>const_reference operator [] (size_type i)
+const</code></td>
+<td>Returns the value of the <code>i</code>-th element.</td>
+</tr>
+<tr>
+<td><code>reference operator [] (size_type i)</code></td>
+<td>Returns a reference of the <code>i</code>-th element.</td>
+</tr>
+<tr>
+<td><code>coordinate_vector &operator = (const
+coordinate_vector &v)</code></td>
+<td>The assignment operator.</td>
+</tr>
+<tr>
+<td><code>coordinate_vector &assign_temporary
+(coordinate_vector &v)</code></td>
+<td>Assigns a temporary. May change the coordinate vector
+<code>v</code>.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+coordinate_vector &operator = (const
+vector_expression<AE> &ae)</code></td>
+<td>The extended assignment operator.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+coordinate_vector &assign (const vector_expression<AE>
+&ae)</code></td>
+<td>Assigns a vector expression to the coordinate vector. Left and
+right hand side of the assignment should be independent.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+coordinate_vector &operator += (const
+vector_expression<AE> &ae)</code></td>
+<td>A computed assignment operator. Adds the vector expression to
+the coordinate vector.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+coordinate_vector &plus_assign (const
+vector_expression<AE> &ae)</code></td>
+<td>Adds a vector expression to the coordinate vector. Left and
+right hand side of the assignment should be independent.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+coordinate_vector &operator -= (const
+vector_expression<AE> &ae)</code></td>
+<td>A computed assignment operator. Subtracts the vector expression
+from the coordinate vector.</td>
+</tr>
+<tr>
+<td><code>template<class AE><br />
+coordinate_vector &minus_assign (const
+vector_expression<AE> &ae)</code></td>
+<td>Subtracts a vector expression from the coordinate vector. Left
+and right hand side of the assignment should be independent.</td>
+</tr>
+<tr>
+<td><code>template<class AT><br />
+coordinate_vector &operator *= (const AT &at)</code></td>
+<td>A computed assignment operator. Multiplies the coordinate
+vector with a scalar.</td>
+</tr>
+<tr>
+<td><code>template<class AT><br />
+coordinate_vector &operator /= (const AT &at)</code></td>
+<td>A computed assignment operator. Divides the coordinate vector
+through a scalar.</td>
+</tr>
+<tr>
+<td><code>void swap (coordinate_vector &v)</code></td>
+<td>Swaps the contents of the coordinate vectors.</td>
+</tr>
+<tr>
+<td><code>true_reference insert_element (size_type i, const_reference t)</code></td>
+<td>Inserts the value <code>t</code> at the <code>i</code>-th
+element. 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>i</code>-th element.
+Duplicate elements can be appended to a <code>coordinate_vector</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)</code></td>
+<td>Erases the value at the <code>i</code>-th element.</td>
+</tr>
+<tr>
+<td><code>void clear ()</code></td>
+<td>Clears the coordinate vector.</td>
+</tr>
+<tr>
+<td><code>const_iterator begin () const</code></td>
+<td>Returns a <code>const_iterator</code> pointing to the beginning
+of the <code>coordinate_vector</code>.</td>
+</tr>
+<tr>
+<td><code>const_iterator end () const</code></td>
+<td>Returns a <code>const_iterator</code> pointing to the end of
+the <code>coordinate_vector</code>.</td>
+</tr>
+<tr>
+<td><code>iterator begin ()</code></td>
+<td>Returns a <code>iterator</code> pointing to the beginning of
+the <code>coordinate_vector</code>.</td>
+</tr>
+<tr>
+<td><code>iterator end ()</code></td>
+<td>Returns a <code>iterator</code> pointing to the end of the
+<code>coordinate_vector</code>.</td>
+</tr>
+<tr>
+<td><code>const_reverse_iterator rbegin () const</code></td>
+<td>Returns a <code>const_reverse_iterator</code> pointing to the
+beginning of the reversed <code>coordinate_vector</code>.</td>
+</tr>
+<tr>
+<td><code>const_reverse_iterator rend () const</code></td>
+<td>Returns a <code>const_reverse_iterator</code> pointing to the
+end of the reversed <code>coordinate_vector</code>.</td>
+</tr>
+<tr>
+<td><code>reverse_iterator rbegin ()</code></td>
+<td>Returns a <code>reverse_iterator</code> pointing to the
+beginning of the reversed <code>coordinate_vector</code>.</td>
+</tr>
+<tr>
+<td><code>reverse_iterator rend ()</code></td>
+<td>Returns a <code>reverse_iterator</code> pointing to the end of
+the reversed <code>coordinate_vector</code>.</td>
+</tr>
+</tbody>
+</table>
+<h4>Notes</h4>
+<p><a name="coordinate_vector_1">[1]</a>
+Supported parameters for the index base are <code>0</code> and
+<code>1</code> at least.</p>
+<p><a name="coordinate_vector_2">[2]</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>