1<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" 2 "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> 3<html xmlns="http://www.w3.org/1999/xhtml"> 4<head> 5<meta name="generator" content= 6"HTML Tidy for Linux/x86 (vers 1st March 2004), see www.w3.org" /> 7<meta http-equiv="Content-Type" content= 8"text/html; charset=us-ascii" /> 9<link rel="stylesheet" href="../../../../boost.css" type="text/css"/> 10<link rel="stylesheet" href="ublas.css" type="text/css" /> 11<script type="text/javascript" src="js/jquery-1.3.2.min.js" async="async" ></script> 12<script type="text/javascript" src="js/jquery.toc-gw.js" async="async" ></script> 13<title>Tensor Expressions</title> 14</head> 15<body> 16<h1><img src="../../../../boost.png" align="middle" />Tensor Expressions</h1> 17<div class="toc" id="toc"></div> 18 19 20 21 22<h2><a name="tensor_expression"></a>Tensor Expression</h2> 23<h4>Description</h4> 24<p>The templated class <code>tensor_expression<T,E></code> 25is required to be a public base of all classes. There is no Tensor Expression concept defined.</p> 26<h4>Definition</h4> 27<p>Defined in the header tensor/expression.hpp.</p> 28<h4>Model of</h4> 29<p>None. <u>Not a Tensor Expression</u>! 30</p> 31 32<h4>Type requirements</h4> 33<p>None.</p> 34<h4>Public base classes</h4> 35<p><code>ublas_expression<E></code>.</p> 36 37<h4>Template parameters</h4> 38<table border="1" summary="parameters"> 39<tbody> 40<tr> 41<th>Parameter</th> 42<th>Description</th> 43</tr> 44<tr> 45<td><code>T</code></td> 46<td>The type of the tensor.</td> 47</tr> 48<tr> 49<td><code>E</code></td> 50<td>The type of the tensor expression.</td> 51</tr> 52</tbody> 53</table> 54 55<h4>Member types</h4> 56<table border="1" style="font-size:100%" summary="members"> 57<tbody style="font-size:100%" > 58<tr> 59<th>Member type</th> 60<th>Description</th> 61</tr> 62<tr> 63<td><code>expression_type</code></td> 64<td>Type of the derived expression which is <code>E</code>.</td> 65</tr> 66<tr> 67<td><code>type_category</code></td> 68<td>Tag for categorization which is <code>tensor_tag</code>.</td> 69</tr> 70<tr> 71<td><code>tensor_type</code></td> 72<td>Reference type which is <code>T</code>.</td> 73</tr> 74</tbody> 75</table> 76 77<h4>Public Member Functions</h4> 78<table border="1" summary="members"> 79<tbody> 80<tr> 81<th>Member</th> 82<th>Description</th> 83</tr> 84<tr> 85<td><code>const expression_type &operator()() const</code></td> 86<td>Returns a <code>const</code> reference to the derived expression.</td> 87</tr> 88</tbody> 89</table> 90 91<!--------------------- ----> 92<br> 93<br> 94 95<h2><a name="entrywise_tensor_operations"></a>Entrywise Tensor Operations</h2> 96 97 98<h3><a name="binary_tensor_expression"></a>Binary Tensor Expression</h3> 99 100<h4>Description</h4> 101<p>The templated class <code>binary_tensor_expression<T,EL,ER,OP></code> contains a constant reference to a left and right expression that can be evaluated by using the access operator.</p> 102<h4>Definition</h4> 103<p>Defined in the header tensor/expression.hpp.</p> 104<h4>Model of</h4> 105<p>Tensor Expression</p> 106 107 108<h4>Type requirements</h4> 109<p>None.</p> 110 111<h4>Public base classes</h4> 112<p><code>tensor_expression<T,binary_tensor_expression<T,EL,ER,OP>></code></p> 113 114<h4>Template parameters</h4> 115<table border="1" summary="parameters"> 116<tbody> 117<tr> 118<th>Parameter</th> 119<th>Description</th> 120</tr> 121<tr> 122<td><code>T</code></td> 123<td>Type of the tensor.</td> 124</tr> 125<tr> 126<td><code>EL</code></td> 127<td>Type of the left binary tensor expression.</td> 128</tr> 129<tr> 130<td><code>ER</code></td> 131<td>Type of the right binary tensor expression.</td> 132</tr> 133<tr> 134<td><code>OP</code></td> 135<td>Type of the binary operation.</td> 136</tr> 137</tbody> 138</table> 139 140<h4>Member types</h4> 141<table border="1" style="font-size:100%" summary="members"> 142<tbody style="font-size:100%" > 143<tr> 144<th>Member type</th> 145<th>Description</th> 146</tr> 147<tr> 148<td><code>expression_type_left</code></td> 149<td>Type of the left expression which is <code>EL</code>.</td> 150</tr> 151<tr> 152<td><code>expression_type_right</code></td> 153<td>Type of the right expression which is <code>ER</code>.</td> 154</tr> 155<tr> 156<td><code>tensor_type</code></td> 157<td>Reference type which is <code>T</code>.</td> 158</tr> 159<tr> 160<td><code>binary_operation</code></td> 161<td>Type of the binary operation which is <code>OP</code>.</td> 162</tr> 163</tbody> 164</table> 165 166<h4>Public Member Functions</h4> 167<table border="1" summary="members"> 168<tbody> 169<tr> 170<th>Member</th> 171<th>Description</th> 172</tr> 173<tr> 174<td><code>decltype(auto) operator()(std::size_t i) const </code></td> 175<td>Returns a <code>const</code> reference to the i-th element of the expression.</td> 176</tr> 177</tbody> 178</table> 179<br> 180 181<!--------------------- ----> 182 183<h3><a name="unary_tensor_expression"></a>Unary Tensor Expression</h3> 184 185 186<h4>Description</h4> 187<p>The templated class <code>unary_tensor_expression<T,E,OP></code> contains a constant reference to an expression that can be evaluated by using the access operator.</p> 188<h4>Definition</h4> 189<p>Defined in the header tensor/expression.hpp.</p> 190<h4>Model of</h4> 191<p>Tensor Expression</p> 192 193<h4>Type requirements</h4> 194<p>None.</p> 195 196<h4>Public base classes</h4> 197<p><code>tensor_expression<T,unary_tensor_expression<T,E,OP>> </code></p> 198 199<h4>Template parameters</h4> 200<table border="1" summary="parameters"> 201<tbody> 202<tr> 203<th>Parameter</th> 204<th>Description</th> 205</tr> 206<tr> 207<td><code>T</code></td> 208<td>Type of the tensor.</td> 209</tr> 210<tr> 211<td><code>E</code></td> 212<td>Type of the unary tensor expression.</td> 213</tr> 214<tr> 215<td><code>OP</code></td> 216<td>Type of the unary operation.</td> 217</tr> 218</tbody> 219</table> 220 221<h4>Member types</h4> 222<table border="1" style="font-size:100%" summary="members"> 223<tbody style="font-size:100%" > 224<tr> 225<th>Member type</th> 226<th>Description</th> 227</tr> 228<tr> 229<td><code>expression_type</code></td> 230<td>Type of the expression which is <code>E</code>.</td> 231</tr> 232<tr> 233<td><code>tensor_type</code></td> 234<td>Reference type which is <code>T</code>.</td> 235</tr> 236<tr> 237<td><code>unary_operation</code></td> 238<td>Type of the unary operation which is <code>OP</code>.</td> 239</tr> 240</tbody> 241</table> 242 243<h4>Public Member Functions</h4> 244<table border="1" summary="members"> 245<tbody> 246<tr> 247<th>Member</th> 248<th>Description</th> 249</tr> 250<tr> 251<td><code>decltype(auto) operator()(std::size_t i) const </code></td> 252<td>Returns a <code>const</code> reference to the i-th element of the expression.</td> 253</tr> 254</tbody> 255</table> 256 257<hr /> 258<p>Copyright (©) 2018 Cem Bassoy <br /> 259 Use, modification and distribution are subject to the 260 Boost Software License, Version 1.0. 261 (See accompanying file LICENSE_1_0.txt 262 or copy at <a href="http://www.boost.org/LICENSE_1_0.txt"> 263 http://www.boost.org/LICENSE_1_0.txt 264 </a>). 265</p> 266<script type="text/javascript"> 267(function($) { 268 $('#toc').toc(); 269})(jQuery); 270</script> 271</body> 272</html> 273
