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<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&lt;T, A&gt;</code> is
the base container adaptor for sparse vectors using element maps. For a
<em>n</em>-dimensional sparse vector and <em>0 &lt;= i &lt; 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>&lt;
i</em><sub><em>2</em></sub>.</p>
<h4>Example</h4>
<pre>
#include &lt;boost/numeric/ublas/vector_sparse.hpp&gt;
#include &lt;boost/numeric/ublas/io.hpp&gt;

int main () {
    using namespace boost::numeric::ublas;
    mapped_vector&lt;double&gt; v (3, 3);
    for (unsigned i = 0; i &lt; v.size (); ++ i)
        v (i) = i;
    std::cout &lt;&lt; v &lt;&lt; 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&lt;std::size_t, T&gt;</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&lt;mapped_vector&lt;T, A&gt;
&gt;</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 &amp;v)</code></td>
<td>The copy constructor.</td>
</tr>
<tr>
<td><code>template&lt;class AE&gt;<br />
mapped_vector (size_type non_zeros, const
vector_expression&lt;AE&gt; &amp;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 &amp;operator = (const mapped_vector
&amp;v)</code></td>
<td>The assignment operator.</td>
</tr>
<tr>
<td><code>mapped_vector &amp;assign_temporary (mapped_vector
&amp;v)</code></td>
<td>Assigns a temporary. May change the mapped vector
<code>v</code> .</td>
</tr>
<tr>
<td><code>template&lt;class AE&gt;<br />
mapped_vector &amp;operator = (const vector_expression&lt;AE&gt;
&amp;ae)</code></td>
<td>The extended assignment operator.</td>
</tr>
<tr>
<td><code>template&lt;class AE&gt;<br />
mapped_vector &amp;assign (const vector_expression&lt;AE&gt;
&amp;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&lt;class AE&gt;<br />
mapped_vector &amp;operator += (const vector_expression&lt;AE&gt;
&amp;ae)</code></td>
<td>A computed assignment operator. Adds the vector expression to
the mapped vector.</td>
</tr>
<tr>
<td><code>template&lt;class AE&gt;<br />
mapped_vector &amp;plus_assign (const vector_expression&lt;AE&gt;
&amp;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&lt;class AE&gt;<br />
mapped_vector &amp;operator -= (const vector_expression&lt;AE&gt;
&amp;ae)</code></td>
<td>A computed assignment operator. Subtracts the vector expression
from the mapped vector.</td>
</tr>
<tr>
<td><code>template&lt;class AE&gt;<br />
mapped_vector &amp;minus_assign (const vector_expression&lt;AE&gt;
&amp;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&lt;class AT&gt;<br />
mapped_vector &amp;operator *= (const AT &amp;at)</code></td>
<td>A computed assignment operator. Multiplies the mapped vector
with a scalar.</td>
</tr>
<tr>
<td><code>template&lt;class AT&gt;<br />
mapped_vector &amp;operator /= (const AT &amp;at)</code></td>
<td>A computed assignment operator. Divides the mapped vector
through a scalar.</td>
</tr>
<tr>
<td><code>void swap (mapped_vector &amp;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&lt;std::size_t, T&gt;</code> and
<code>map_std&lt;std::size_t, T&gt;</code>. The latter is
equivalent to <code>std::map&lt;std::size_t, T&gt;</code>.</p>
<h2><a name="compressed_vector"></a>Compressed Vector</h2>
<h4>Description</h4>
<p>The templated class <code>compressed_vector&lt;T, IB, IA,
TA&gt;</code> is the base container adaptor for compressed vectors.
For a <em>n</em>-dimensional compressed vector and <em>0 &lt;= i
&lt; 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>&lt;
i</em><sub><em>2</em></sub>.</p>
<h4>Example</h4>
<pre>
#include &lt;boost/numeric/ublas/vector_sparse.hpp&gt;
#include &lt;boost/numeric/ublas/io.hpp&gt;

int main () {
    using namespace boost::numeric::ublas;
    compressed_vector&lt;double&gt; v (3, 3);
    for (unsigned i = 0; i &lt; v.size (); ++ i)
        v (i) = i;
    std::cout &lt;&lt; v &lt;&lt; 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&lt;std::size_t&gt;</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&lt;T&gt;</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&lt;compressed_vector&lt;T, IB, IA,
TA&gt; &gt;</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
&amp;v)</code></td>
<td>The copy constructor.</td>
</tr>
<tr>
<td><code>template&lt;class AE&gt;<br />
compressed_vector (size_type non_zeros, const
vector_expression&lt;AE&gt; &amp;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 &amp;operator = (const
compressed_vector &amp;v)</code></td>
<td>The assignment operator.</td>
</tr>
<tr>
<td><code>compressed_vector &amp;assign_temporary
(compressed_vector &amp;v)</code></td>
<td>Assigns a temporary. May change the compressed vector
<code>v</code>.</td>
</tr>
<tr>
<td><code>template&lt;class AE&gt;<br />
compressed_vector &amp;operator = (const
vector_expression&lt;AE&gt; &amp;ae)</code></td>
<td>The extended assignment operator.</td>
</tr>
<tr>
<td><code>template&lt;class AE&gt;<br />
compressed_vector &amp;assign (const vector_expression&lt;AE&gt;
&amp;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&lt;class AE&gt;<br />
compressed_vector &amp;operator += (const
vector_expression&lt;AE&gt; &amp;ae)</code></td>
<td>A computed assignment operator. Adds the vector expression to
the compressed vector.</td>
</tr>
<tr>
<td><code>template&lt;class AE&gt;<br />
compressed_vector &amp;plus_assign (const
vector_expression&lt;AE&gt; &amp;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&lt;class AE&gt;<br />
compressed_vector &amp;operator -= (const
vector_expression&lt;AE&gt; &amp;ae)</code></td>
<td>A computed assignment operator. Subtracts the vector expression
from the compressed vector.</td>
</tr>
<tr>
<td><code>template&lt;class AE&gt;<br />
compressed_vector &amp;minus_assign (const
vector_expression&lt;AE&gt; &amp;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&lt;class AT&gt;<br />
compressed_vector &amp;operator *= (const AT &amp;at)</code></td>
<td>A computed assignment operator. Multiplies the compressed
vector with a scalar.</td>
</tr>
<tr>
<td><code>template&lt;class AT&gt;<br />
compressed_vector &amp;operator /= (const AT &amp;at)</code></td>
<td>A computed assignment operator. Divides the compressed vector
through a scalar.</td>
</tr>
<tr>
<td><code>void swap (compressed_vector &amp;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&lt;&gt;</code> ,
<code>bounded_array&lt;&gt;</code> and
<code>std::vector&lt;&gt;</code> .</p>
<h2><a name="coordinate_vector"></a>Coordinate Vector</h2>
<h4>Description</h4>
<p>The templated class <code>coordinate_vector&lt;T, IB, IA,
TA&gt;</code> is the base container adaptor for compressed vectors.
For a <em>n</em>-dimensional sorted coordinate vector and <em>0
&lt;= i &lt; 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>&lt;
i</em><sub><em>2</em></sub>.</p>
<h4>Example</h4>
<pre>
#include &lt;boost/numeric/ublas/vector_sparse.hpp&gt;
#include &lt;boost/numeric/ublas/io.hpp&gt;

int main () {
    using namespace boost::numeric::ublas;
    coordinate_vector&lt;double&gt; v (3, 3);
    for (unsigned i = 0; i &lt; v.size (); ++ i)
        v (i) = i;
    std::cout &lt;&lt; v &lt;&lt; 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&lt;std::size_t&gt;</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&lt;T&gt;</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&lt;coordinate_vector&lt;T, IB, IA,
TA&gt; &gt;</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
&amp;v)</code></td>
<td>The copy constructor.</td>
</tr>
<tr>
<td><code>template&lt;class AE&gt;<br />
coordinate_vector (size_type non_zeros, const
vector_expression&lt;AE&gt; &amp;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 &amp;operator = (const
coordinate_vector &amp;v)</code></td>
<td>The assignment operator.</td>
</tr>
<tr>
<td><code>coordinate_vector &amp;assign_temporary
(coordinate_vector &amp;v)</code></td>
<td>Assigns a temporary. May change the coordinate vector
<code>v</code>.</td>
</tr>
<tr>
<td><code>template&lt;class AE&gt;<br />
coordinate_vector &amp;operator = (const
vector_expression&lt;AE&gt; &amp;ae)</code></td>
<td>The extended assignment operator.</td>
</tr>
<tr>
<td><code>template&lt;class AE&gt;<br />
coordinate_vector &amp;assign (const vector_expression&lt;AE&gt;
&amp;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&lt;class AE&gt;<br />
coordinate_vector &amp;operator += (const
vector_expression&lt;AE&gt; &amp;ae)</code></td>
<td>A computed assignment operator. Adds the vector expression to
the coordinate vector.</td>
</tr>
<tr>
<td><code>template&lt;class AE&gt;<br />
coordinate_vector &amp;plus_assign (const
vector_expression&lt;AE&gt; &amp;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&lt;class AE&gt;<br />
coordinate_vector &amp;operator -= (const
vector_expression&lt;AE&gt; &amp;ae)</code></td>
<td>A computed assignment operator. Subtracts the vector expression
from the coordinate vector.</td>
</tr>
<tr>
<td><code>template&lt;class AE&gt;<br />
coordinate_vector &amp;minus_assign (const
vector_expression&lt;AE&gt; &amp;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&lt;class AT&gt;<br />
coordinate_vector &amp;operator *= (const AT &amp;at)</code></td>
<td>A computed assignment operator. Multiplies the coordinate
vector with a scalar.</td>
</tr>
<tr>
<td><code>template&lt;class AT&gt;<br />
coordinate_vector &amp;operator /= (const AT &amp;at)</code></td>
<td>A computed assignment operator. Divides the coordinate vector
through a scalar.</td>
</tr>
<tr>
<td><code>void swap (coordinate_vector &amp;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&lt;&gt;</code> ,
<code>bounded_array&lt;&gt;</code> and
<code>std::vector&lt;&gt;</code> .</p>
<hr />
<p>Copyright (&copy;) 2000-2002 Joerg Walter, Mathias Koch<br />
   Use, modification and distribution are subject to the
   Boost Software License, Version 1.0.
   (See accompanying file LICENSE_1_0.txt
   or copy at <a href="http://www.boost.org/LICENSE_1_0.txt">
      http://www.boost.org/LICENSE_1_0.txt
   </a>).
</p>
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