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ublas/doc/vector.htm
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<title>Vector</title>
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<h1><img src="c++boost.gif" alt="c++boost.gif" align="Center">
Vector</h1>
<h2><a name="vector"></a>
Vector</h2>
<h4>Description</h4>
<p>The templated class <code>vector&lt;T, A&gt; </code>is the base container
adaptor for dense vectors. For a <em>n</em>-dimensional vector and <em>0
&lt;= i &lt; n </em>every element <em>v</em><sub><em>i</em></sub> is mapped
to the <em>i-</em>th element of the container.</p>
<h4>Example</h4>
<pre>#include &lt;boost/numeric/ublas/vector.hpp&gt;<br>#include &lt;boost/numeric/ublas/io.hpp&gt;<br><br>int main () {<br> using namespace boost::numeric::ublas;<br> vector&lt;double&gt; v (3);<br> for (unsigned i = 0; i &lt; v.size (); ++ i)<br> v (i) = i;<br> std::cout &lt;&lt; v &lt;&lt; std::endl;<br>}<br></pre>
<h4>Definition</h4>
<p>Defined in the header vector.hpp.</p>
<h4>Template parameters</h4>
<table border="1">
<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 vector. </td>
<td>&nbsp;</td>
</tr>
<tr>
<td><code>A</code></td>
<td>The type of the adapted array. <a href="#vector_1">[1]</a>
</td>
<td><code>unbounded_array&lt;T&gt;</code></td>
</tr>
</tbody>
</table>
<h4>Model of</h4>
<p><a href="container.htm#vector">Vector</a>
. </p>
<h4>Type requirements</h4>
<p>None, except for those imposed by the requirements of <a href="container.htm#vector">
Vector</a>
.</p>
<h4>Public base classes</h4>
<p><code>vector_expression&lt;vector&lt;T, A&gt; &gt;</code> </p>
<h4>Members</h4>
<table border="1">
<tbody>
<tr>
<th>Member </th>
<th>Description </th>
</tr>
<tr>
<td><code>vector ()</code> </td>
<td>Allocates an uninitialized <code>vector</code> that
holds zero elements.</td>
</tr>
<tr>
<td><code>vector (size_type size)</code></td>
<td>Allocates an uninitialized <code>vector</code> that
holds <code>size</code> elements.</td>
</tr>
<tr>
<td><code>vector (const vector &amp;v)</code></td>
<td>The copy constructor.</td>
</tr>
<tr>
<td><code>template&lt;class AE&gt;<br>
vector (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)</code></td>
<td>Reallocates a <code>vector</code> to hold <code>size</code>
elements. The content of the <code>vector</code> is not preserved.</td>
</tr>
<tr>
<td><code>size_type size () const</code></td>
<td>Returns the size of the <code>vector</code>. </td>
</tr>
<tr>
<td><code>const_reference operator () (size_type i) const</code></td>
<td>Returns a <code>const </code>reference 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 a <code>const </code>reference 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>vector &amp;operator = (const vector &amp;v)</code></td>
<td>The assignment operator.</td>
</tr>
<tr>
<td><code>vector &amp;assign_temporary (vector &amp;v)</code></td>
<td>Assigns a temporary. May change the vector <code>v</code>.</td>
</tr>
<tr>
<td><code>template&lt;class AE&gt;<br>
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>
vector &amp;assign (const vector_expression&lt;AE&gt; &amp;ae)</code></td>
<td>Assigns a vector expression to the vector. Left and
right hand side of the assignment should be independent.</td>
</tr>
<tr>
<td><code>template&lt;class AE&gt;<br>
vector &amp;operator += (const vector_expression&lt;AE&gt;
&amp;ae)</code></td>
<td>A computed assignment operator. Adds the vector expression
to the vector.</td>
</tr>
<tr>
<td><code>template&lt;class AE&gt;<br>
vector &amp;plus_assign (const vector_expression&lt;AE&gt;
&amp;ae)</code></td>
<td>Adds a vector expression to the vector. Left and right
hand side of the assignment should be independent.</td>
</tr>
<tr>
<td><code>template&lt;class AE&gt;<br>
vector &amp;operator -= (const vector_expression&lt;AE&gt;
&amp;ae)</code></td>
<td>A computed assignment operator. Subtracts the vector
expression from the vector.</td>
</tr>
<tr>
<td><code>template&lt;class AE&gt;<br>
vector &amp;minus_assign (const vector_expression&lt;AE&gt;
&amp;ae)</code></td>
<td>Subtracts a vector expression from the vector. Left
and right hand side of the assignment should be independent.</td>
</tr>
<tr>
<td><code>template&lt;class AT&gt;<br>
vector &amp;operator *= (const AT &amp;at)</code></td>
<td>A computed assignment operator. Multiplies the vector
with a scalar.</td>
</tr>
<tr>
<td><code>template&lt;class AT&gt;<br>
vector &amp;operator /= (const AT &amp;at)</code></td>
<td>A computed assignment operator. Divides the vector through
a scalar.</td>
</tr>
<tr>
<td><code>void swap (vector &amp;v)</code></td>
<td>Swaps the contents of the vectors. </td>
</tr>
<tr>
<td><code>void insert (size_type i, const_reference t)</code></td>
<td>Inserts the value <code>t</code> at the <code>i</code>-th
element.</td>
</tr>
<tr>
<td><code>void erase (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 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>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>vector</code>. </td>
</tr>
<tr>
<td><code>iterator begin () </code></td>
<td>Returns a <code>iterator</code> pointing to the beginning
of the <code>vector</code>. </td>
</tr>
<tr>
<td><code>iterator end () </code></td>
<td>Returns a <code>iterator</code> pointing to the end
of the <code>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>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>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>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>vector</code>. </td>
</tr>
</tbody>
</table>
<h4>Notes</h4>
<p><a name="#vector_1">[1]</a>
Supported parameters for the adapted array are <code>unbounded_array&lt;T&gt;</code>
, <code>bounded_array&lt;T&gt;</code> and <code>std::vector&lt;T&gt;</code>
. </p>
<h4>Interface</h4>
<pre><code> // Array based vector class<br> template&lt;class T, class A&gt;<br> class vector:<br> public vector_expression&lt;vector&lt;T, A&gt; &gt; {<br> public:<br> typedef std::size_t size_type;<br> typedef std::ptrdiff_t difference_type;<br> typedef T value_type;<br> typedef const T &amp;const_reference;<br> typedef T &amp;reference;<br> typedef const T *const_pointer;<br> typedef T *pointer;<br> typedef F functor_type;<br> typedef A array_type;<br> typedef const A const_array_type;<br> typedef const vector&lt;T, A&gt; const_self_type;<br> typedef vector&lt;T, A&gt; self_type;<br> typedef const vector_const_reference&lt;const_self_type&gt; const_closure_type;<br> typedef vector_reference&lt;self_type&gt; closure_type;<br> typedef typename A::const_iterator const_iterator_type;<br> typedef typename A::iterator iterator_type;<br> typedef dense_tag storage_category;<br><br> // Construction and destruction<br> vector ();<br> vector (size_type size);<br> vector (const vector &amp;v);<br> template&lt;class AE&gt;<br> vector (const vector_expression&lt;AE&gt; &amp;ae);<br><br> // Accessors<br> size_type size () const;<br> const_array_type &amp;data () const;<br> array_type &amp;data ();<br><br> // Resizing<br> void resize (size_type size);<br><br> // Element access<br> const_reference operator () (size_type i) const;<br> reference operator () (size_type i);<br><br> const_reference operator [] (size_type i) const;<br> reference operator [] (size_type i);<br><br> // Assignment<br> vector &amp;operator = (const vector &amp;v);<br> vector &amp;assign_temporary (vector &amp;v);<br> template&lt;class AE&gt;<br> vector &amp;operator = (const vector_expression&lt;AE&gt; &amp;ae);<br> template&lt;class AE&gt;<br> vector &amp;reset (const vector_expression&lt;AE&gt; &amp;ae);<br> template&lt;class AE&gt;<br> vector &amp;assign (const vector_expression&lt;AE&gt; &amp;ae);<br> template&lt;class AE&gt;<br> vector &amp;operator += (const vector_expression&lt;AE&gt; &amp;ae);<br> template&lt;class AE&gt;<br> vector &amp;plus_assign (const vector_expression&lt;AE&gt; &amp;ae);<br> template&lt;class AE&gt;<br> vector &amp;operator -= (const vector_expression&lt;AE&gt; &amp;ae);<br> template&lt;class AE&gt;<br> vector &amp;minus_assign (const vector_expression&lt;AE&gt; &amp;ae);<br> template&lt;class AT&gt;<br> vector &amp;operator *= (const AT &amp;at);<br> template&lt;class AT&gt;<br> vector &amp;operator /= (const AT &amp;at);<br><br> // Swapping<br> void swap (vector &amp;v);<br> friend void swap (vector &amp;v1, vector &amp;v2);<br><br> // Element insertion and erasure<br> void insert (size_type i, const_reference t);<br> void erase (size_type i);<br> void clear ();<br><br> class const_iterator;<br> class iterator;<br><br> // Element lookup<br> const_iterator find (size_type i) const;<br> iterator find (size_type i);<br> const_iterator find_first (size_type i) const;<br> iterator find_first (size_type i);<br> const_iterator find_last (size_type i) const;<br> iterator find_last (size_type i);<br><br> // Iterators simply are pointers.<br><br> class const_iterator:<br> public container_const_reference&lt;vector&gt;,<br> public random_access_iterator_base&lt;const_iterator, value_type&gt; {<br> public:<br> typedef dense_random_access_iterator_tag iterator_category;<br> typedef typename vector::difference_type difference_type;<br> typedef typename vector::value_type value_type;<br> typedef typename vector::const_reference reference;<br> typedef typename vector::const_pointer pointer;<br><br> // Construction and destruction<br> const_iterator ();<br> const_iterator (const vector &amp;v, const const_iterator_type &amp;it);<br> const_iterator (const iterator &amp;it):<br><br> // Arithmetic<br> const_iterator &amp;operator ++ ();<br> const_iterator &amp;operator -- ();<br> const_iterator &amp;operator += (difference_type n);<br> const_iterator &amp;operator -= (difference_type n);<br> difference_type operator - (const const_iterator &amp;it) const;<br><br> // Dereference<br> reference operator * () const;<br><br> // Index<br> size_type index () const;<br><br> // Assignment<br> const_iterator &amp;operator = (const const_iterator &amp;it);<br><br> // Comparison<br> bool operator == (const const_iterator &amp;it) const;<br> bool operator &lt; (const const_iterator &amp;it) const;<br> };<br><br> const_iterator begin () const;<br> const_iterator end () const;<br><br> class iterator:<br> public container_reference&lt;vector&gt;,<br> public random_access_iterator_base&lt;iterator, value_type&gt; {<br> public:<br> typedef dense_random_access_iterator_tag iterator_category;<br> typedef typename vector::difference_type difference_type;<br> typedef typename vector::value_type value_type;<br> typedef typename vector::reference reference;<br> typedef typename vector::pointer pointer;<br><br> // Construction and destruction<br> iterator ();<br> iterator (vector &amp;v, const iterator_type &amp;it);<br><br> // Arithmetic<br> iterator &amp;operator ++ ();<br> iterator &amp;operator -- ();<br> iterator &amp;operator += (difference_type n);<br> iterator &amp;operator -= (difference_type n);<br> difference_type operator - (const iterator &amp;it) const;<br><br> // Dereference<br> reference operator * () const;<br><br> // Index<br> size_type index () const;<br><br> // Assignment<br> iterator &amp;operator = (const iterator &amp;it);<br><br> // Comparison<br> bool operator == (const iterator &amp;it) const;<br> bool operator &lt; (const const_iterator &amp;it) const;<br> };<br><br> iterator begin ();<br> iterator end ();<br><br> // Reverse iterator<br><br> typedef reverse_iterator_base&lt;const_iterator&gt; const_reverse_iterator;<br><br> const_reverse_iterator rbegin () const;<br> const_reverse_iterator rend () const;<br><br> typedef reverse_iterator_base&lt;iterator&gt; reverse_iterator;<br><br> reverse_iterator rbegin ();<br> reverse_iterator rend ();<br> }; </code></pre>
<h2><a name="unit_vector"></a>
Unit Vector</h2>
<h4>Description</h4>
<p>The templated class <code>unit_vector&lt;T&gt; </code>represents canonical
unit vectors. For the <em>k</em>-th <em>n</em>-dimensional canonical unit
vector and <em>0 &lt;= i &lt; n </em>holds <em>u</em><sup><em>k</em></sup><sub><em>
i</em></sub><em> = 0</em>, if <em>i &lt;&gt; k</em>, and <em>u</em><sup><em>
k</em></sup><sub><em>i</em></sub><em> = 1</em>. </p>
<h4>Example</h4>
<pre>#include &lt;boost/numeric/ublas/vector.hpp&gt;<br>#include &lt;boost/numeric/ublas/io.hpp&gt;<br><br>int main () {<br> using namespace boost::numeric::ublas;<br> for (int i = 0; i &lt; 3; ++ i) {<br> unit_vector&lt;double&gt; v (3, i);<br> std::cout &lt;&lt; v &lt;&lt; std::endl;<br> }<br>}<br></pre>
<h4>Definition</h4>
<p>Defined in the header vector.hpp.</p>
<h4>Template parameters</h4>
<table border="1">
<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 vector. </td>
<td>&nbsp;</td>
</tr>
</tbody>
</table>
<h4>Model of</h4>
<p><a href="expression.htm#vector_expression">Vector Expression</a>
. </p>
<h4>Type requirements</h4>
<p>None, except for those imposed by the requirements of <a href="expression.htm#vector_expression">
Vector Expression</a>
.</p>
<h4>Public base classes</h4>
<p><code>vector_expression&lt;unit_vector&lt;T&gt; &gt;</code> </p>
<h4>Members</h4>
<table border="1">
<tbody>
<tr>
<th>Member </th>
<th>Description </th>
</tr>
<tr>
<td><code>unit_vector ()</code> </td>
<td>Constructs an <code>unit_vector</code> that holds zero
elements.</td>
</tr>
<tr>
<td><code>unit_vector (size_type size, size_type index)</code></td>
<td>Constructs the <code>index</code>-th <code>unit_vector</code>
that holds <code>size</code> elements.</td>
</tr>
<tr>
<td><code>unit_vector (const unit_vector &amp;v)</code></td>
<td>The copy constructor.</td>
</tr>
<tr>
<td><code>void resize (size_type size)</code></td>
<td>Resizes a <code>unit_vector</code> to hold <code>size</code>
elements. </td>
</tr>
<tr>
<td><code>size_type size () const</code></td>
<td>Returns the size of the <code>unit_vector</code>. </td>
</tr>
<tr>
<td><code>size_type index () const</code></td>
<td>Returns the index of the <code>unit_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>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>unit_vector &amp;operator = (const unit_vector
&amp;v)</code></td>
<td>The assignment operator.</td>
</tr>
<tr>
<td><code>unit_vector &amp;assign_temporary (unit_vector
&amp;v)</code></td>
<td>Assigns a temporary. May change the unit vector <code>v</code>
.</td>
</tr>
<tr>
<td><code>void swap (unit_vector &amp;v)</code></td>
<td>Swaps the contents of the unit vectors. </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>unit_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>unit_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>unit_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>unit_vector</code>. </td>
</tr>
</tbody>
</table>
<h4>Interface</h4>
<pre><code> // Unit vector class<br> template&lt;class T&gt;<br> class unit_vector:<br> public vector_expression&lt;unit_vector&lt;T&gt; &gt; {<br> public:<br> typedef std::size_t size_type;<br> typedef std::ptrdiff_t difference_type;<br> typedef T value_type;<br> typedef const T &amp;const_reference;<br> typedef T &amp;reference;<br> typedef const T *const_pointer;<br> typedef T *pointer;<br> typedef const unit_vector&lt;T&gt; const_self_type;<br> typedef unit_vector&lt;T&gt; self_type;<br> typedef const vector_const_reference&lt;const_self_type&gt; const_closure_type;<br> typedef size_type const_iterator_type;<br> typedef packed_tag storage_category;<br><br> // Construction and destruction<br> unit_vector ();<br> unit_vector (size_type size, size_type index);<br> unit_vector (const unit_vector &amp;v);<br><br> // Accessors<br> size_type size () const;<br> size_type index () const;<br><br> // Resizing<br> void resize (size_type size);<br><br> // Element access<br> const_reference operator () (size_type i) const;<br><br> const_reference operator [] (size_type i) const;<br><br> // Assignment<br> unit_vector &amp;operator = (const unit_vector &amp;v);<br> unit_vector &amp;assign_temporary (unit_vector &amp;v);<br><br> // Swapping<br> void swap (unit_vector &amp;v);<br> friend void swap (unit_vector &amp;v1, unit_vector &amp;v2);<br><br> class const_iterator;<br><br> // Element lookup<br> const_iterator find_first (size_type i) const;<br> const_iterator find_last (size_type i) const;<br><br> // Iterator simply is an index.<br><br> class const_iterator:<br> public container_const_reference&lt;unit_vector&gt;,<br> public random_access_iterator_base&lt;const_iterator, value_type&gt; {<br> public:<br> typedef packed_random_access_iterator_tag iterator_category;<br> typedef typename unit_vector::difference_type difference_type;<br> typedef typename unit_vector::value_type value_type;<br> typedef typename unit_vector::const_reference reference;<br> typedef typename unit_vector::const_pointer pointer;<br><br> // Construction and destruction<br> const_iterator ();<br> const_iterator (const unit_vector &amp;v, const const_iterator_type &amp;it);<br><br> // Arithmetic<br> const_iterator &amp;operator ++ ();<br> const_iterator &amp;operator -- ();<br> const_iterator &amp;operator += (difference_type n);<br> const_iterator &amp;operator -= (difference_type n);<br> difference_type operator - (const const_iterator &amp;it) const;<br><br> // Dereference<br> reference operator * () const;<br><br> // Index<br> size_type index () const;<br><br> // Assignment<br> const_iterator &amp;operator = (const const_iterator &amp;it);<br><br> // Comparison<br> bool operator == (const const_iterator &amp;it) const;<br> bool operator &lt; (const const_iterator &amp;it) const;<br> };<br><br> typedef const_iterator iterator;<br><br> const_iterator begin () const;<br> const_iterator end () const;<br><br> // Reverse iterator<br><br> typedef reverse_iterator_base&lt;const_iterator&gt; const_reverse_iterator;<br><br> const_reverse_iterator rbegin () const;<br> const_reverse_iterator rend () const;<br> };</code></pre>
<h2><a name="zero_vector"></a>
Zero Vector</h2>
<h4>Description</h4>
<p>The templated class <code>zero_vector&lt;T&gt; </code>represents zero
vectors. For a <em>n</em>-dimensional zero vector and <em>0 &lt;= i &lt;
n </em>holds <em>z</em><sub><em>i</em></sub><em> = 0</em>. </p>
<h4>Example</h4>
<pre>#include &lt;boost/numeric/ublas/vector.hpp&gt;<br>#include &lt;boost/numeric/ublas/io.hpp&gt;<br><br>int main () {<br> using namespace boost::numeric::ublas;<br> zero_vector&lt;double&gt; v (3);<br> std::cout &lt;&lt; v &lt;&lt; std::endl;<br>}<br></pre>
<h4>Definition</h4>
<p>Defined in the header vector.hpp.</p>
<h4>Template parameters</h4>
<table border="1">
<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 vector. </td>
<td>&nbsp;</td>
</tr>
</tbody>
</table>
<h4>Model of</h4>
<p><a href="expression.htm#vector_expression">Vector Expression</a>
. </p>
<h4>Type requirements</h4>
<p>None, except for those imposed by the requirements of <a href="expression.htm#vector_expression">
Vector Expression</a>
.</p>
<h4>Public base classes</h4>
<p><code>vector_expression&lt;zero_vector&lt;T&gt; &gt;</code> </p>
<h4>Members</h4>
<table border="1">
<tbody>
<tr>
<th>Member </th>
<th>Description </th>
</tr>
<tr>
<td><code>zero_vector ()</code> </td>
<td>Constructs a <code>zero_vector</code> that holds zero
elements.</td>
</tr>
<tr>
<td><code>zero_vector (size_type size)</code></td>
<td>Constructs a <code>zero_vector</code> that holds <code>size</code>
elements.</td>
</tr>
<tr>
<td><code>zero_vector (const zero_vector &amp;v)</code></td>
<td>The copy constructor.</td>
</tr>
<tr>
<td><code>void resize (size_type size)</code></td>
<td>Resizes a <code>zero_vector</code> to hold <code>size</code>
elements. </td>
</tr>
<tr>
<td><code>size_type size () const</code></td>
<td>Returns the size of the <code>zero_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>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>zero_vector &amp;operator = (const zero_vector
&amp;v)</code></td>
<td>The assignment operator.</td>
</tr>
<tr>
<td><code>zero_vector &amp;assign_temporary (zero_vector
&amp;v)</code></td>
<td>Assigns a temporary. May change the zero vector <code>v</code>
.</td>
</tr>
<tr>
<td><code>void swap (zero_vector &amp;v)</code></td>
<td>Swaps the contents of the zero vectors. </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>zero_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>zero_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>zero_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>zero_vector</code>. </td>
</tr>
</tbody>
</table>
<h4>Interface</h4>
<pre><code> // Zero vector class<br> template&lt;class T&gt;<br> class zero_vector:<br> public vector_expression&lt;zero_vector&lt;T&gt; &gt; {<br> public:<br> typedef std::size_t size_type;<br> typedef std::ptrdiff_t difference_type;<br> typedef T value_type;<br> typedef const T &amp;const_reference;<br> typedef T &amp;reference;<br> typedef const T *const_pointer;<br> typedef T *pointer;<br> typedef const zero_vector&lt;T&gt; const_self_type;<br> typedef zero_vector&lt;T&gt; self_type;<br> typedef const vector_const_reference&lt;const_self_type&gt; const_closure_type;<br> typedef size_type const_iterator_type;<br> typedef sparse_tag storage_category;<br><br> // Construction and destruction<br> zero_vector ();<br> zero_vector (size_type size);<br> zero_vector (const zero_vector &amp;v);<br><br> // Accessors<br> size_type size () const;<br> size_type index () const;<br><br> // Resizing<br> void resize (size_type size);<br><br> // Element access<br> const_reference operator () (size_type i) const;<br><br> const_reference operator [] (size_type i) const;<br><br> // Assignment<br> zero_vector &amp;operator = (const zero_vector &amp;v);<br> zero_vector &amp;assign_temporary (zero_vector &amp;v);<br><br> // Swapping<br> void swap (zero_vector &amp;v);<br> friend void swap (zero_vector &amp;v1, zero_vector &amp;v2);<br><br> class const_iterator;<br><br> // Element lookup<br> const_iterator find_first (size_type i) const;<br> const_iterator find_last (size_type i) const;<br><br> // Iterator simply is an index.<br><br> class const_iterator:<br> public container_const_reference&lt;zero_vector&gt;,<br> public bidirectional_iterator_base&lt;const_iterator, value_type&gt; {<br> public:<br> typedef sparse_bidirectional_iterator_tag iterator_category;<br> typedef typename zero_vector::difference_type difference_type;<br> typedef typename zero_vector::value_type value_type;<br> typedef typename zero_vector::const_reference reference;<br> typedef typename zero_vector::const_pointer pointer;<br><br> // Construction and destruction<br> const_iterator ();<br> const_iterator (const zero_vector &amp;v, const const_iterator_type &amp;it);<br><br> // Arithmetic<br> const_iterator &amp;operator ++ ();<br> const_iterator &amp;operator -- ();<br><br> // Dereference<br> reference operator * () const;<br><br> // Index<br> size_type index () const;<br><br> // Assignment<br> const_iterator &amp;operator = (const const_iterator &amp;it);<br><br> // Comparison<br> bool operator == (const const_iterator &amp;it) const;<br> };<br><br> typedef const_iterator iterator;<br><br> const_iterator begin () const;<br> const_iterator end () const;<br><br> // Reverse iterator<br><br> typedef reverse_iterator_base&lt;const_iterator&gt; const_reverse_iterator;<br><br> const_reverse_iterator rbegin () const;<br> const_reverse_iterator rend () const;<br> };</code></pre>
<hr>
<p>Copyright (&copy;) 2000-2002 Joerg Walter, Mathias Koch <br>
Permission to copy, use, modify, sell and distribute this document is granted
provided this copyright notice appears in all copies. This document is provided
``as is'' without express or implied warranty, and with no claim as to its
suitability for any purpose.</p>
<p>Last revised: 1/15/2003</p>
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