projects / ceph.git / blame
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| 4 | <head> | |
| 5 | <title>Special Products</title> | |
| 6 | <meta name="GENERATOR" content="Quanta Plus" /> | |
| 7 | <meta name="AUTHOR" content="Gunter Winkler" /> | |
| 8 | <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /> | |
| 9 | <link rel="stylesheet" href="../../../../boost.css" type="text/css"/> | |
| 10 | <link rel="stylesheet" href="ublas.css" type="text/css" /> | |
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| 13 | </head> | |
| 14 | <body> | |
| 15 | ||
| 16 | <h1><img src="../../../../boost.png" align="middle" />Special Products </h1> | |
| 17 | <div class="toc" id="toc"></div> | |
| 18 | ||
| 19 | <h2>Functions</h2> | |
| 20 | ||
| 21 | <table summary="" border=0 cellpadding=0 cellspacing=0> | |
| 22 | <tr> | |
| 23 | <td class="memItemLeft" nowrap align=right valign=top>template<class V, class E1, class E2> BOOST_UBLAS_INLINE V & </td> | |
| 24 | <td class="memItemRight" valign=bottom><a class="el" href="#ga8">axpy_prod</a> (const matrix_expression< E1 > &e1, const vector_expression< E2 > &e2, V &v, bool init=true)</td></tr> | |
| 25 | ||
| 26 | <tr> | |
| 27 | <td class="mdescLeft"> </td> | |
| 28 | <td class="mdescRight">computes <code>v += A x</code> or <code>v = A x</code> in an optimized fashion. <a href="#ga8"></a><br /><br /></td></tr> | |
| 29 | <tr> | |
| 30 | <td class="memItemLeft" nowrap align=right valign=top>template<class V, class E1, class E2> BOOST_UBLAS_INLINE V & </td> | |
| 31 | <td class="memItemRight" valign=bottom><a class="el" href="#ga9">axpy_prod</a> (const vector_expression< E1 > &e1, const matrix_expression< E2 > &e2, V &v, bool init=true)</td></tr> | |
| 32 | ||
| 33 | <tr> | |
| 34 | <td class="mdescLeft"> </td> | |
| 35 | <td class="mdescRight">computes <code>v += A<sup>T</sup> x</code> or <code>v = A<sup>T</sup> x</code> in an optimized fashion. <a href="#ga9"></a><br /><br /></td></tr> | |
| 36 | <tr> | |
| 37 | <td class="memItemLeft" nowrap align=right valign=top>template<class M, class E1, class E2> BOOST_UBLAS_INLINE M & </td> | |
| 38 | <td class="memItemRight" valign=bottom><a class="el" href="#ga7">axpy_prod</a> (const matrix_expression< E1 > &e1, const matrix_expression< E2 > &e2, M &m, bool init=true)</td></tr> | |
| 39 | ||
| 40 | <tr> | |
| 41 | <td class="mdescLeft"> </td> | |
| 42 | <td class="mdescRight">computes <code>M += A X</code> or <code>M = A X</code> in an optimized fashion. <a href="#ga7"></a><br /><br /></td></tr> | |
| 43 | <tr> | |
| 44 | <td class="memItemLeft" nowrap align=right valign=top>template<class M, class E1, class E2> BOOST_UBLAS_INLINE M & </td> | |
| 45 | <td class="memItemRight" valign=bottom><a class="el" href="#ga6">opb_prod</a> (const matrix_expression< E1 > &e1, const matrix_expression< E2 > &e2, M &m, bool init=true)</td></tr> | |
| 46 | ||
| 47 | <tr> | |
| 48 | <td class="mdescLeft"> </td> | |
| 49 | <td class="mdescRight">computes <code>M += A X</code> or <code>M = A X</code> in an optimized fashion. <a href="#ga6"></a><br /><br /></td></tr> | |
| 50 | </table> | |
| 51 | ||
| 52 | <hr /> | |
| 53 | ||
| 54 | <a class="anchor" name="ga8" doxytag="boost::numeric::ublas::axpy_prod" ></a> | |
| 55 | <table summary="" class="mdTable" width="95%" cellpadding="2" cellspacing="0"> | |
| 56 | <tr> | |
| 57 | <td class="mdRow"> | |
| 58 | <table summary="" cellpadding="0" cellspacing="0" border="0"> | |
| 59 | <tr> | |
| 60 | <td class="md" nowrap valign="top"> BOOST_UBLAS_INLINE V& axpy_prod </td> | |
| 61 | <td class="md" valign="top">( </td> | |
| 62 | <td class="md" nowrap valign="top">const matrix_expression< E1 > & </td> | |
| 63 | <td class="mdname" nowrap> <em>e1</em>, </td> | |
| 64 | </tr> | |
| 65 | <tr> | |
| 66 | <td class="md" nowrap align="right"></td> | |
| 67 | <td></td> | |
| 68 | <td class="md" nowrap>const vector_expression< E2 > & </td> | |
| 69 | <td class="mdname" nowrap> <em>e2</em>, </td> | |
| 70 | </tr> | |
| 71 | <tr> | |
| 72 | <td class="md" nowrap align="right"></td> | |
| 73 | <td></td> | |
| 74 | <td class="md" nowrap>V & </td> | |
| 75 | <td class="mdname" nowrap> <em>v</em>, </td> | |
| 76 | </tr> | |
| 77 | <tr> | |
| 78 | <td class="md" nowrap align="right"></td> | |
| 79 | <td></td> | |
| 80 | <td class="md" nowrap>bool </td> | |
| 81 | <td class="mdname" nowrap> <em>init</em> = <code>true</code></td> | |
| 82 | </tr> | |
| 83 | <tr> | |
| 84 | <td></td> | |
| 85 | <td class="md">) </td> | |
| 86 | <td class="md" colspan="2"></td> | |
| 87 | </tr> | |
| 88 | </table> | |
| 89 | </td> | |
| 90 | </tr> | |
| 91 | </table> | |
| 92 | <table summary="" cellspacing=5 cellpadding=0 border=0> | |
| 93 | <tr> | |
| 94 | <td> | |
| 95 | | |
| 96 | </td> | |
| 97 | <td> | |
| 98 | ||
| 99 | <p> | |
| 100 | computes <code>v += A x</code> or <code>v = A x</code> in an optimized fashion. | |
| 101 | </p> | |
| 102 | <dl compact><dt><b>Parameters:</b></dt><dd> | |
| 103 | <table summary="" border="0" cellspacing="2" cellpadding="0"> | |
| 104 | <tr><td></td><td valign=top><em>e1</em> </td><td>the matrix expression <code>A</code> </td></tr> | |
| 105 | <tr><td></td><td valign=top><em>e2</em> </td><td>the vector expression <code>x</code> </td></tr> | |
| 106 | <tr><td></td><td valign=top><em>v</em> </td><td>the result vector <code>v</code> </td></tr> | |
| 107 | <tr><td></td><td valign=top><em>init</em> </td><td>a boolean parameter</td></tr> | |
| 108 | </table> | |
| 109 | </dl> | |
| 110 | <code>axpy_prod(A, x, v, init)</code> implements the well known axpy-product. Setting <em>init</em> to <code>true</code> is equivalent to call <code>v.clear()</code> before <code>axpy_prod</code>. Currently <em>init</em> defaults to <code>true</code>, but this may change in the future.<p> | |
| 111 | Up to now there are some specialisation for compressed matrices that give a large speed up compared to prod. </td> | |
| 112 | </tr> | |
| 113 | </table> | |
| 114 | ||
| 115 | ||
| 116 | <a class="anchor" name="ga9" doxytag="boost::numeric::ublas::axpy_prod" ></a> | |
| 117 | <table summary="" class="mdTable" width="95%" cellpadding="2" cellspacing="0"> | |
| 118 | <tr> | |
| 119 | <td class="mdRow"> | |
| 120 | <table summary="" cellpadding="0" cellspacing="0" border="0"> | |
| 121 | <tr> | |
| 122 | <td class="md" nowrap valign="top"> BOOST_UBLAS_INLINE V& axpy_prod </td> | |
| 123 | <td class="md" valign="top">( </td> | |
| 124 | <td class="md" nowrap valign="top">const vector_expression< E1 > & </td> | |
| 125 | <td class="mdname" nowrap> <em>e1</em>, </td> | |
| 126 | </tr> | |
| 127 | <tr> | |
| 128 | <td class="md" nowrap align="right"></td> | |
| 129 | <td></td> | |
| 130 | <td class="md" nowrap>const matrix_expression< E2 > & </td> | |
| 131 | <td class="mdname" nowrap> <em>e2</em>, </td> | |
| 132 | </tr> | |
| 133 | <tr> | |
| 134 | <td class="md" nowrap align="right"></td> | |
| 135 | <td></td> | |
| 136 | <td class="md" nowrap>V & </td> | |
| 137 | <td class="mdname" nowrap> <em>v</em>, </td> | |
| 138 | </tr> | |
| 139 | <tr> | |
| 140 | <td class="md" nowrap align="right"></td> | |
| 141 | <td></td> | |
| 142 | <td class="md" nowrap>bool </td> | |
| 143 | <td class="mdname" nowrap> <em>init</em> = <code>true</code></td> | |
| 144 | </tr> | |
| 145 | <tr> | |
| 146 | <td></td> | |
| 147 | <td class="md">) </td> | |
| 148 | <td class="md" colspan="2"></td> | |
| 149 | </tr> | |
| 150 | </table> | |
| 151 | </td> | |
| 152 | </tr> | |
| 153 | </table> | |
| 154 | <table summary="" cellspacing=5 cellpadding=0 border=0> | |
| 155 | <tr> | |
| 156 | <td> | |
| 157 | | |
| 158 | </td> | |
| 159 | <td> | |
| 160 | ||
| 161 | <p> | |
| 162 | computes <code>v += A<sup>T</sup> x</code> or <code>v = A<sup>T</sup> x</code> in an optimized fashion. | |
| 163 | </p> | |
| 164 | <dl compact><dt><b>Parameters:</b></dt><dd> | |
| 165 | <table summary="" border="0" cellspacing="2" cellpadding="0"> | |
| 166 | <tr><td></td><td valign=top><em>e1</em> </td><td>the vector expression <code>x</code> </td></tr> | |
| 167 | <tr><td></td><td valign=top><em>e2</em> </td><td>the matrix expression <code>A</code> </td></tr> | |
| 168 | <tr><td></td><td valign=top><em>v</em> </td><td>the result vector <code>v</code> </td></tr> | |
| 169 | <tr><td></td><td valign=top><em>init</em> </td><td>a boolean parameter</td></tr> | |
| 170 | </table> | |
| 171 | </dl> | |
| 172 | <code>axpy_prod(x, A, v, init)</code> implements the well known axpy-product. Setting <em>init</em> to <code>true</code> is equivalent to call <code>v.clear()</code> before <code>axpy_prod</code>. Currently <em>init</em> defaults to <code>true</code>, but this may change in the future.<p> | |
| 173 | Up to now there are some specialisation for compressed matrices that give a large speed up compared to prod. </td> | |
| 174 | </tr> | |
| 175 | </table> | |
| 176 | ||
| 177 | <a class="anchor" name="ga7" doxytag="boost::numeric::ublas::axpy_prod" ></a> | |
| 178 | <table summary="" class="mdTable" width="95%" cellpadding="2" cellspacing="0"> | |
| 179 | <tr> | |
| 180 | <td class="mdRow"> | |
| 181 | <table summary="" cellpadding="0" cellspacing="0" border="0"> | |
| 182 | <tr> | |
| 183 | <td class="md" nowrap valign="top"> BOOST_UBLAS_INLINE M& axpy_prod </td> | |
| 184 | <td class="md" valign="top">( </td> | |
| 185 | <td class="md" nowrap valign="top">const matrix_expression< E1 > & </td> | |
| 186 | <td class="mdname" nowrap> <em>e1</em>, </td> | |
| 187 | </tr> | |
| 188 | <tr> | |
| 189 | <td class="md" nowrap align="right"></td> | |
| 190 | <td></td> | |
| 191 | <td class="md" nowrap>const matrix_expression< E2 > & </td> | |
| 192 | <td class="mdname" nowrap> <em>e2</em>, </td> | |
| 193 | </tr> | |
| 194 | <tr> | |
| 195 | <td class="md" nowrap align="right"></td> | |
| 196 | <td></td> | |
| 197 | <td class="md" nowrap>M & </td> | |
| 198 | <td class="mdname" nowrap> <em>m</em>, </td> | |
| 199 | </tr> | |
| 200 | <tr> | |
| 201 | <td class="md" nowrap align="right"></td> | |
| 202 | <td></td> | |
| 203 | <td class="md" nowrap>bool </td> | |
| 204 | <td class="mdname" nowrap> <em>init</em> = <code>true</code></td> | |
| 205 | </tr> | |
| 206 | <tr> | |
| 207 | <td></td> | |
| 208 | <td class="md">) </td> | |
| 209 | <td class="md" colspan="2"></td> | |
| 210 | </tr> | |
| 211 | </table> | |
| 212 | </td> | |
| 213 | </tr> | |
| 214 | </table> | |
| 215 | <table summary="" cellspacing=5 cellpadding=0 border=0> | |
| 216 | <tr> | |
| 217 | <td> | |
| 218 | | |
| 219 | </td> | |
| 220 | <td> | |
| 221 | ||
| 222 | <p> | |
| 223 | computes <code>M += A X</code> or <code>M = A X</code> in an optimized fashion. | |
| 224 | </p> | |
| 225 | <dl compact><dt><b>Parameters:</b></dt><dd> | |
| 226 | <table summary="" border="0" cellspacing="2" cellpadding="0"> | |
| 227 | <tr><td></td><td valign=top><em>e1</em> </td><td>the matrix expression <code>A</code> </td></tr> | |
| 228 | <tr><td></td><td valign=top><em>e2</em> </td><td>the matrix expression <code>X</code> </td></tr> | |
| 229 | <tr><td></td><td valign=top><em>m</em> </td><td>the result matrix <code>M</code> </td></tr> | |
| 230 | <tr><td></td><td valign=top><em>init</em> </td><td>a boolean parameter</td></tr> | |
| 231 | </table> | |
| 232 | </dl> | |
| 233 | <code>axpy_prod(A, X, M, init)</code> implements the well known axpy-product. Setting <em>init</em> to <code>true</code> is equivalent to call <code>M.clear()</code> before <code>axpy_prod</code>. Currently <em>init</em> defaults to <code>true</code>, but this may change in the future.<p> | |
| 234 | Up to now there are no specialisations. </td> | |
| 235 | </tr> | |
| 236 | </table> | |
| 237 | ||
| 238 | <a class="anchor" name="ga6" doxytag="boost::numeric::ublas::opb_prod" ></a> | |
| 239 | ||
| 240 | <table summary="" class="mdTable" width="95%" cellpadding="2" cellspacing="0"> | |
| 241 | <tr> | |
| 242 | <td class="mdRow"> | |
| 243 | <table summary="" cellpadding="0" cellspacing="0" border="0"> | |
| 244 | <tr> | |
| 245 | <td class="md" nowrap valign="top"> BOOST_UBLAS_INLINE M& opb_prod </td> | |
| 246 | <td class="md" valign="top">( </td> | |
| 247 | <td class="md" nowrap valign="top">const matrix_expression< E1 > & </td> | |
| 248 | <td class="mdname" nowrap> <em>e1</em>, </td> | |
| 249 | </tr> | |
| 250 | <tr> | |
| 251 | <td class="md" nowrap align="right"></td> | |
| 252 | <td></td> | |
| 253 | <td class="md" nowrap>const matrix_expression< E2 > & </td> | |
| 254 | <td class="mdname" nowrap> <em>e2</em>, </td> | |
| 255 | </tr> | |
| 256 | <tr> | |
| 257 | <td class="md" nowrap align="right"></td> | |
| 258 | <td></td> | |
| 259 | <td class="md" nowrap>M & </td> | |
| 260 | <td class="mdname" nowrap> <em>m</em>, </td> | |
| 261 | </tr> | |
| 262 | <tr> | |
| 263 | <td class="md" nowrap align="right"></td> | |
| 264 | <td></td> | |
| 265 | <td class="md" nowrap>bool </td> | |
| 266 | <td class="mdname" nowrap> <em>init</em> = <code>true</code></td> | |
| 267 | </tr> | |
| 268 | <tr> | |
| 269 | <td></td> | |
| 270 | <td class="md">) </td> | |
| 271 | <td class="md" colspan="2"></td> | |
| 272 | </tr> | |
| 273 | </table> | |
| 274 | </td> | |
| 275 | </tr> | |
| 276 | </table> | |
| 277 | <table summary="" cellspacing=5 cellpadding=0 border=0> | |
| 278 | <tr> | |
| 279 | <td> | |
| 280 | | |
| 281 | </td> | |
| 282 | <td> | |
| 283 | ||
| 284 | <p> | |
| 285 | computes <code>M += A X</code> or <code>M = A X</code> in an optimized fashion. | |
| 286 | </p> | |
| 287 | <dl compact><dt><b>Parameters:</b></dt><dd> | |
| 288 | <table summary="" border="0" cellspacing="2" cellpadding="0"> | |
| 289 | <tr><td></td><td valign=top><em>e1</em> </td><td>the matrix expression <code>A</code> </td></tr> | |
| 290 | <tr><td></td><td valign=top><em>e2</em> </td><td>the matrix expression <code>X</code> </td></tr> | |
| 291 | <tr><td></td><td valign=top><em>m</em> </td><td>the result matrix <code>M</code> </td></tr> | |
| 292 | <tr><td></td><td valign=top><em>init</em> </td><td>a boolean parameter</td></tr> | |
| 293 | </table> | |
| 294 | </dl> | |
| 295 | <code>opb_prod(A, X, M, init)</code> implements the well known axpy-product. Setting <em>init</em> to <code>true</code> is equivalent to call <code>M.clear()</code> before <code>opb_prod</code>. Currently <em>init</em> defaults to <code>true</code>, but this may change in the future.<p> | |
| 296 | This function may give a speedup if <code>A</code> has less columns than rows, because the product is computed as a sum of outer products. </td> | |
| 297 | </tr> | |
| 298 | </table> | |
| 299 | ||
| 300 | ||
| 301 | ||
| 302 | <hr /> | |
| 303 | <p>Copyright (©) 2000-2004 Michael Stevens, Mathias Koch, | |
| 304 | Joerg Walter, Gunter Winkler<br /> | |
| 305 | Use, modification and distribution are subject to the | |
| 306 | Boost Software License, Version 1.0. | |
| 307 | (See accompanying file LICENSE_1_0.txt | |
| 308 | or copy at <a href="http://www.boost.org/LICENSE_1_0.txt"> | |
| 309 | http://www.boost.org/LICENSE_1_0.txt | |
| 310 | </a>). | |
| 311 | </p> | |
| 312 | <script type="text/javascript"> | |
| 313 | (function($) { | |
| 314 | $('#toc').toc(); | |
| 315 | })(jQuery); | |
| 316 | </script> | |
| 317 | </body> | |
| 318 | </html> |