doc/tensor/tensor_index.html

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<title>Shape</title>
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<h1><img src="../../../../boost.png" align="middle" />Tensor Index</h1>
<div class="toc" id="toc"></div>
<h2><a name="tensor index"></a>tensor_index&lt;value_t, storage_t, array_t, N&gt;</h2>
<h4>Description</h4>
<p>The template class <code>tensor_index</code> decorates the <a href="../tensor.html#tensor">tensor</a> template class with indices for tensor contraction.</p>

<h4>Example</h4>
<pre>
#include &lt;boost/numeric/ublas/tensor/einstein.hpp&gt;

int main () {
    <b>using namespace</b> boost::numeric::ublas;
    shape s{4,3,2};
    for (<b>auto</b> i = 0u; i &lt; s.size(); ++i) {
        std::cout &lt;&lt; s.at(i) &lt;&lt; std::endl;
    }
}
</pre>
<h4>Definition</h4>
<p>Defined in the header tensor/tensor_einstein.hpp.</p>

<h4>Public base classes</h4>
<p>None.</p>


<h4>Template parameters</h4>
<table border="1" summary="parameters">
<tbody>
<tr>
<th>Parameter</th>
<th>Description</th>
</tr>
<tr>
<td><code>value_t</code></td>
<td>The type of object stored in the tensor.</td>
<td></td>
</tr>
<tr>
<td><code>format_t</code></td>
<td>Storage organization of the tensor.</td>
</tr>
<tr>
<td><code>storage_t</code></td>
<td>The type of the storage array of the tensor.</td>
</tr>
<tr>
<td><code>N</code></td>
<td>Number of indices provided.</td>
</tr>
</tbody>
</table>


<!---
<h4>Member types</h4>
<table border="1" style="font-size:100%" summary="members">
<tbody style="font-size:100%" >
<tr>
<th>Member type</th>
<th>Description</th>
</tr>
<tr>
<td><code>value_type</code></td>
<td>Type <code>size_type</code> of the extents.</td>
</tr>
<tr>
<td><code>size_type</code></td>
<td>Unsigned integer such as <code>std::size_t</code>.</td>
</tr>
<tr>
<td><code>reference</code></td>
<td>Reference type which is <code>value_type&</code>.</td>
</tr>
<tr>
<td><code>const_reference</code></td>
<td>Constant reference type which is <code>const value_type&</code>.</td>
</tr>
<tr>
<td><code>pointer</code></td>
<td>Pointer type which is <code>value_type*</code>.</td>
</tr>
<tr>
<td><code>const_pointer</code></td>
<td>Constant reference type which is <code>const value_type*</code>.</td>
</tr>
</tbody>
</table>


<h4>Member Functions</h4>
<table border="1" summary="members functions">
<tbody>
<tr>
<th>Member Function</th>
<th>Description</th>
</tr>
<tr>
<td><code>basic_extents ()</code></td>
<td>Constructs an empty instance of <code>basic_extents</code>.</td>
</tr>
<tr>
<td><code>basic_extents (std::vector&lt;value_type&gt; const& vector)</code></td>
<td>Constructs an instance copying the content of <code>vector</code>.</td>
</tr>
<tr>
<td><code>basic_extents (std::vector&lt;value_type&gt; && vector)</code></td>
<td>Constructs an instance moving the content of <code>vector</code>.</td>
</tr>
<tr>
<td><code>basic_extents (std::initializer_list&lt;value_type&gt; list)</code></td>
<td>Constructs an instance from <code>list</code>.</td>
</tr>
<tr>
<td><code>basic_extents (const_iterator first, const_iterator last)</code></td>
<td>Constructs an instance from the range specified by <code>[first</code>,<code>last)</code>.</td>
</tr>
<tr>
<td><code>basic_extents (basic_extents const& other)</code></td>
<td>Constructs an instance from <code>other</code> copying its elements.</td>
</tr>
<tr>
<td><code>basic_extents (basic_extents && other)</code></td>
<td>Constructs an instance from <code>other</code> by moving its elements.</td>
</tr>
<tr>
<td><code>basic_extents& operator= (basic_extents other)</code></td>
<td>Assigns the elements of <code>other</code> to this instance.</td>
</tr>
<tr>
<td><code>bool is_scalar() const</code></td>
<td>Returns true if the elements are <code>(1,1,[1,...,1])</code>.</td>
</tr>
<tr>
<td><code>bool is_vector() const</code></td>
<td>Returns true if the elements are <code>(n,1,[1,...,1])</code> or <code>(1,n,[1,...,1])</code> where <code>n>1</code>.</td>
</tr>
<tr>
<td><code>bool is_matrix() const</code></td>
<td>Returns true if the elements are <code>(m,n,[1,...,1])</code> where <code>m>1</code> and <code>n>1</code>.</td>
</tr>
<tr>
<td><code>bool is_tensor() const</code></td>
<td>Returns true if it is not a scalar, vector or matrix.</td>
</tr>
<tr>
<td><code>const_pointer data() const</code></td>
<td>Returns a <code>const_pointer</code> to the first element.</td>
</tr>
<tr>
<td><code>pointer data()</code></td>
<td>Returns a <code>pointer</code> to the first element.</td>
</tr>
<tr>
<td><code>reference operator[](size_type i)</code></td>
<td>Returns a <code>reference</code> to 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_reference</code> to the <code>i</code>-th element.</td>
</tr>
<tr>
<td><code>reference at(size_type i)</code></td>
<td>Returns a <code>reference</code> to the <code>i</code>-th element.</td>
</tr>
<tr>
<td><code>const_reference at(size_type i) const</code></td>
<td>Returns a <code>const_reference</code> to the <code>i</code>-th element.</td>
</tr>
<tr>
<td><code>bool empty()</code></td>
<td>Returns true if the container has no elements.</td>
</tr>
<tr>
<td><code>size_type size() const</code></td>
<td>Returns the number of elements.</td>
</tr>
<tr>
<td><code>bool valid() const</code></td>
<td>Returns true if size()>1 and all elements are greater than one.</td>
</tr>
<tr>
<td><code>size_type product() const</code></td>
<td>Returns the multiplication of all entries.</td>
</tr>
<tr>
<td><code>basic_extents squeeze() const</code></td>
<td>Returns a new instance where entries equal to one are eliminated.</td>
</tr>
<tr>
<td><code>bool operator==(basic_extents const& b) const</code></td>
<td>Returns true if all elements are equal.</td>
</tr>
<tr>
<td><code>bool operator!=(basic_extents const& b) const</code></td>
<td>Returns true if some elements are not equal.</td>
</tr>
<tr>
<td><code>const_iterator begin() const</code></td>
<td>Returns an <code>const_iterator<code> pointing to the first element.</td>
</tr>
<tr>
<td><code>const_iterator end() const</code></td>
<td>Returns a <code>const_iterator</code> pointing to an element passed the last element.</td>
</tr>
<tr>
<td><code>std::vector&lt;size_type&gt; base() const</code></td>
<td>Returns a const reference to the private member sequence container holding all elements.</td>
</tr>
</tbody>
</table>

---->


<hr />
<p>
Copyright (&copy;) 2018 Cem Bassoy<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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