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48 <div id="nav-sync" class="sync"></div> 49 </div> 50 </div> 51 <div id="splitbar" style="-moz-user-select:none;" 52 class="ui-resizable-handle"> 53 </div> 54</div> 55<script type="text/javascript"> 56/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */ 57$(document).ready(function(){initNavTree('efq2_8h.html','');}); 58/* @license-end */ 59</script> 60<div id="doc-content"> 61<div class="header"> 62 <div class="summary"> 63<a href="#func-members">Functions</a> </div> 64 <div class="headertitle"> 65<div class="title">efq2.h File Reference</div> </div> 66</div><!--header--> 67<div class="contents"> 68 69<p>Definition of EFq2 math. 70<a href="#details">More...</a></p> 71<table class="memberdecls"> 72<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a> 73Functions</h2></td></tr> 74<tr class="memitem:a9181b09474d800c65fd89aee2c28ebab"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="efq2_8h.html#a9181b09474d800c65fd89aee2c28ebab">EFq2IsInf</a> (<a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const *in)</td></tr> 75<tr class="memdesc:a9181b09474d800c65fd89aee2c28ebab"><td class="mdescLeft"> </td><td class="mdescRight">Test if a point is infinity. <a href="#a9181b09474d800c65fd89aee2c28ebab">More...</a><br /></td></tr> 76<tr class="separator:a9181b09474d800c65fd89aee2c28ebab"><td class="memSeparator" colspan="2"> </td></tr> 77<tr class="memitem:af1da3e171d605db6f5ea0a70dc01ac27"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="efq2_8h.html#af1da3e171d605db6f5ea0a70dc01ac27">EFq2FromAffine</a> (<a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> *result, <a class="el" href="struct_ecc_point_fq2.html">EccPointFq2</a> const *in)</td></tr> 78<tr class="memdesc:af1da3e171d605db6f5ea0a70dc01ac27"><td class="mdescLeft"> </td><td class="mdescRight">Convert a point from Affine to Jacobi representation. <a href="#af1da3e171d605db6f5ea0a70dc01ac27">More...</a><br /></td></tr> 79<tr class="separator:af1da3e171d605db6f5ea0a70dc01ac27"><td class="memSeparator" colspan="2"> </td></tr> 80<tr class="memitem:a484e6af5efc2042d865999dac9489684"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="efq2_8h.html#a484e6af5efc2042d865999dac9489684">EFq2ToAffine</a> (<a class="el" href="struct_ecc_point_fq2.html">EccPointFq2</a> *result, <a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const *in)</td></tr> 81<tr class="memdesc:a484e6af5efc2042d865999dac9489684"><td class="mdescLeft"> </td><td class="mdescRight">Convert a point from Jacobi to Affine representation. <a href="#a484e6af5efc2042d865999dac9489684">More...</a><br /></td></tr> 82<tr class="separator:a484e6af5efc2042d865999dac9489684"><td class="memSeparator" colspan="2"> </td></tr> 83<tr class="memitem:a1db50d99360ed019ca4dcd2f9bcf210a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="efq2_8h.html#a1db50d99360ed019ca4dcd2f9bcf210a">EFq2Dbl</a> (<a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> *result, <a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const *in)</td></tr> 84<tr class="memdesc:a1db50d99360ed019ca4dcd2f9bcf210a"><td class="mdescLeft"> </td><td class="mdescRight">Double a point in EFq2. <a href="#a1db50d99360ed019ca4dcd2f9bcf210a">More...</a><br /></td></tr> 85<tr class="separator:a1db50d99360ed019ca4dcd2f9bcf210a"><td class="memSeparator" colspan="2"> </td></tr> 86<tr class="memitem:a6cbfb24b20b29b2e678e259aa6c0e2db"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="efq2_8h.html#a6cbfb24b20b29b2e678e259aa6c0e2db">EFq2Add</a> (<a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> *result, <a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const *left, <a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const *right)</td></tr> 87<tr class="memdesc:a6cbfb24b20b29b2e678e259aa6c0e2db"><td class="mdescLeft"> </td><td class="mdescRight">Add two points in EFq2. <a href="#a6cbfb24b20b29b2e678e259aa6c0e2db">More...</a><br /></td></tr> 88<tr class="separator:a6cbfb24b20b29b2e678e259aa6c0e2db"><td class="memSeparator" colspan="2"> </td></tr> 89<tr class="memitem:a977bd074ed0dec943ad0cf19a01c0cf7"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="efq2_8h.html#a977bd074ed0dec943ad0cf19a01c0cf7">EFq2Neg</a> (<a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> *result, <a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const *in)</td></tr> 90<tr class="memdesc:a977bd074ed0dec943ad0cf19a01c0cf7"><td class="mdescLeft"> </td><td class="mdescRight">Negate a point on EFq2. <a href="#a977bd074ed0dec943ad0cf19a01c0cf7">More...</a><br /></td></tr> 91<tr class="separator:a977bd074ed0dec943ad0cf19a01c0cf7"><td class="memSeparator" colspan="2"> </td></tr> 92<tr class="memitem:a3ad678e3701e1211fa01ddc54f2bc5e4"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="efq2_8h.html#a3ad678e3701e1211fa01ddc54f2bc5e4">EFq2MulSSCM</a> (<a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> *result, <a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const *left, <a class="el" href="struct_fp_elem.html">FpElem</a> const *right)</td></tr> 93<tr class="memdesc:a3ad678e3701e1211fa01ddc54f2bc5e4"><td class="mdescLeft"> </td><td class="mdescRight">Multiply two points in EFq. <a href="#a3ad678e3701e1211fa01ddc54f2bc5e4">More...</a><br /></td></tr> 94<tr class="separator:a3ad678e3701e1211fa01ddc54f2bc5e4"><td class="memSeparator" colspan="2"> </td></tr> 95<tr class="memitem:a2064ea9b48565a164314da4b487aaabd"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="efq2_8h.html#a2064ea9b48565a164314da4b487aaabd">EFq2Eq</a> (<a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const *left, <a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const *right)</td></tr> 96<tr class="memdesc:a2064ea9b48565a164314da4b487aaabd"><td class="mdescLeft"> </td><td class="mdescRight">Test if two points on EFq2 are equal. <a href="#a2064ea9b48565a164314da4b487aaabd">More...</a><br /></td></tr> 97<tr class="separator:a2064ea9b48565a164314da4b487aaabd"><td class="memSeparator" colspan="2"> </td></tr> 98<tr class="memitem:a26c35eefbd1ee11a5d078c44d295ff5a"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="efq2_8h.html#a26c35eefbd1ee11a5d078c44d295ff5a">EFq2OnCurve</a> (<a class="el" href="struct_ecc_point_fq2.html">EccPointFq2</a> const *in)</td></tr> 99<tr class="memdesc:a26c35eefbd1ee11a5d078c44d295ff5a"><td class="mdescLeft"> </td><td class="mdescRight">Test if a point is in EFq2. <a href="#a26c35eefbd1ee11a5d078c44d295ff5a">More...</a><br /></td></tr> 100<tr class="separator:a26c35eefbd1ee11a5d078c44d295ff5a"><td class="memSeparator" colspan="2"> </td></tr> 101</table> 102<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2> 103<div class="textblock"><p>Definition of EFq2 math. </p> 104</div><h2 class="groupheader">Function Documentation</h2> 105<a id="a6cbfb24b20b29b2e678e259aa6c0e2db"></a> 106<h2 class="memtitle"><span class="permalink"><a href="#a6cbfb24b20b29b2e678e259aa6c0e2db">◆ </a></span>EFq2Add()</h2> 107 108<div class="memitem"> 109<div class="memproto"> 110 <table class="memname"> 111 <tr> 112 <td class="memname">void EFq2Add </td> 113 <td>(</td> 114 <td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> * </td> 115 <td class="paramname"><em>result</em>, </td> 116 </tr> 117 <tr> 118 <td class="paramkey"></td> 119 <td></td> 120 <td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const * </td> 121 <td class="paramname"><em>left</em>, </td> 122 </tr> 123 <tr> 124 <td class="paramkey"></td> 125 <td></td> 126 <td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const * </td> 127 <td class="paramname"><em>right</em> </td> 128 </tr> 129 <tr> 130 <td></td> 131 <td>)</td> 132 <td></td><td></td> 133 </tr> 134 </table> 135</div><div class="memdoc"> 136 137<p>Add two points in EFq2. </p> 138<dl class="params"><dt>Parameters</dt><dd> 139 <table class="params"> 140 <tr><td class="paramdir">[out]</td><td class="paramname">result</td><td>of adding left and right. </td></tr> 141 <tr><td class="paramdir">[in]</td><td class="paramname">left</td><td>The first operand to be added. </td></tr> 142 <tr><td class="paramdir">[in]</td><td class="paramname">right</td><td>The second operand to be added. </td></tr> 143 </table> 144 </dd> 145</dl> 146 147</div> 148</div> 149<a id="a1db50d99360ed019ca4dcd2f9bcf210a"></a> 150<h2 class="memtitle"><span class="permalink"><a href="#a1db50d99360ed019ca4dcd2f9bcf210a">◆ </a></span>EFq2Dbl()</h2> 151 152<div class="memitem"> 153<div class="memproto"> 154 <table class="memname"> 155 <tr> 156 <td class="memname">void EFq2Dbl </td> 157 <td>(</td> 158 <td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> * </td> 159 <td class="paramname"><em>result</em>, </td> 160 </tr> 161 <tr> 162 <td class="paramkey"></td> 163 <td></td> 164 <td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const * </td> 165 <td class="paramname"><em>in</em> </td> 166 </tr> 167 <tr> 168 <td></td> 169 <td>)</td> 170 <td></td><td></td> 171 </tr> 172 </table> 173</div><div class="memdoc"> 174 175<p>Double a point in EFq2. </p> 176<dl class="params"><dt>Parameters</dt><dd> 177 <table class="params"> 178 <tr><td class="paramdir">[out]</td><td class="paramname">result</td><td>target. </td></tr> 179 <tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>the value to double. </td></tr> 180 </table> 181 </dd> 182</dl> 183 184</div> 185</div> 186<a id="a2064ea9b48565a164314da4b487aaabd"></a> 187<h2 class="memtitle"><span class="permalink"><a href="#a2064ea9b48565a164314da4b487aaabd">◆ </a></span>EFq2Eq()</h2> 188 189<div class="memitem"> 190<div class="memproto"> 191 <table class="memname"> 192 <tr> 193 <td class="memname">int EFq2Eq </td> 194 <td>(</td> 195 <td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const * </td> 196 <td class="paramname"><em>left</em>, </td> 197 </tr> 198 <tr> 199 <td class="paramkey"></td> 200 <td></td> 201 <td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const * </td> 202 <td class="paramname"><em>right</em> </td> 203 </tr> 204 <tr> 205 <td></td> 206 <td>)</td> 207 <td></td><td></td> 208 </tr> 209 </table> 210</div><div class="memdoc"> 211 212<p>Test if two points on EFq2 are equal. </p> 213<dl class="params"><dt>Parameters</dt><dd> 214 <table class="params"> 215 <tr><td class="paramdir">[in]</td><td class="paramname">left</td><td>The first operand to be tested. </td></tr> 216 <tr><td class="paramdir">[in]</td><td class="paramname">right</td><td>The second operand to be tested. </td></tr> 217 </table> 218 </dd> 219</dl> 220<dl class="section return"><dt>Returns</dt><dd>A value different from zero (i.e., true) if indeed the values are equal. Zero (i.e., false) otherwise. </dd></dl> 221 222</div> 223</div> 224<a id="af1da3e171d605db6f5ea0a70dc01ac27"></a> 225<h2 class="memtitle"><span class="permalink"><a href="#af1da3e171d605db6f5ea0a70dc01ac27">◆ </a></span>EFq2FromAffine()</h2> 226 227<div class="memitem"> 228<div class="memproto"> 229 <table class="memname"> 230 <tr> 231 <td class="memname">void EFq2FromAffine </td> 232 <td>(</td> 233 <td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> * </td> 234 <td class="paramname"><em>result</em>, </td> 235 </tr> 236 <tr> 237 <td class="paramkey"></td> 238 <td></td> 239 <td class="paramtype"><a class="el" href="struct_ecc_point_fq2.html">EccPointFq2</a> const * </td> 240 <td class="paramname"><em>in</em> </td> 241 </tr> 242 <tr> 243 <td></td> 244 <td>)</td> 245 <td></td><td></td> 246 </tr> 247 </table> 248</div><div class="memdoc"> 249 250<p>Convert a point from Affine to Jacobi representation. </p> 251<dl class="params"><dt>Parameters</dt><dd> 252 <table class="params"> 253 <tr><td class="paramdir">[out]</td><td class="paramname">result</td><td>target. </td></tr> 254 <tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>value to set. </td></tr> 255 </table> 256 </dd> 257</dl> 258 259</div> 260</div> 261<a id="a9181b09474d800c65fd89aee2c28ebab"></a> 262<h2 class="memtitle"><span class="permalink"><a href="#a9181b09474d800c65fd89aee2c28ebab">◆ </a></span>EFq2IsInf()</h2> 263 264<div class="memitem"> 265<div class="memproto"> 266 <table class="memname"> 267 <tr> 268 <td class="memname">int EFq2IsInf </td> 269 <td>(</td> 270 <td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const * </td> 271 <td class="paramname"><em>in</em></td><td>)</td> 272 <td></td> 273 </tr> 274 </table> 275</div><div class="memdoc"> 276 277<p>Test if a point is infinity. </p> 278<dl class="params"><dt>Parameters</dt><dd> 279 <table class="params"> 280 <tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>the point to test. </td></tr> 281 </table> 282 </dd> 283</dl> 284<dl class="section return"><dt>Returns</dt><dd>A value different from zero (i.e., true) indeed the value is infinity. Zero (i.e., false) otherwise. </dd></dl> 285 286</div> 287</div> 288<a id="a3ad678e3701e1211fa01ddc54f2bc5e4"></a> 289<h2 class="memtitle"><span class="permalink"><a href="#a3ad678e3701e1211fa01ddc54f2bc5e4">◆ </a></span>EFq2MulSSCM()</h2> 290 291<div class="memitem"> 292<div class="memproto"> 293 <table class="memname"> 294 <tr> 295 <td class="memname">void EFq2MulSSCM </td> 296 <td>(</td> 297 <td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> * </td> 298 <td class="paramname"><em>result</em>, </td> 299 </tr> 300 <tr> 301 <td class="paramkey"></td> 302 <td></td> 303 <td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const * </td> 304 <td class="paramname"><em>left</em>, </td> 305 </tr> 306 <tr> 307 <td class="paramkey"></td> 308 <td></td> 309 <td class="paramtype"><a class="el" href="struct_fp_elem.html">FpElem</a> const * </td> 310 <td class="paramname"><em>right</em> </td> 311 </tr> 312 <tr> 313 <td></td> 314 <td>)</td> 315 <td></td><td></td> 316 </tr> 317 </table> 318</div><div class="memdoc"> 319 320<p>Multiply two points in EFq. </p> 321<p>This function is mitigated against software side-channel attacks.</p> 322<dl class="params"><dt>Parameters</dt><dd> 323 <table class="params"> 324 <tr><td class="paramdir">[out]</td><td class="paramname">result</td><td>of multiplying left and right. </td></tr> 325 <tr><td class="paramdir">[in]</td><td class="paramname">left</td><td>The first operand to be multiplied. </td></tr> 326 <tr><td class="paramdir">[in]</td><td class="paramname">right</td><td>The second operand to be multiplied. </td></tr> 327 </table> 328 </dd> 329</dl> 330 331</div> 332</div> 333<a id="a977bd074ed0dec943ad0cf19a01c0cf7"></a> 334<h2 class="memtitle"><span class="permalink"><a href="#a977bd074ed0dec943ad0cf19a01c0cf7">◆ </a></span>EFq2Neg()</h2> 335 336<div class="memitem"> 337<div class="memproto"> 338 <table class="memname"> 339 <tr> 340 <td class="memname">void EFq2Neg </td> 341 <td>(</td> 342 <td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> * </td> 343 <td class="paramname"><em>result</em>, </td> 344 </tr> 345 <tr> 346 <td class="paramkey"></td> 347 <td></td> 348 <td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const * </td> 349 <td class="paramname"><em>in</em> </td> 350 </tr> 351 <tr> 352 <td></td> 353 <td>)</td> 354 <td></td><td></td> 355 </tr> 356 </table> 357</div><div class="memdoc"> 358 359<p>Negate a point on EFq2. </p> 360<dl class="params"><dt>Parameters</dt><dd> 361 <table class="params"> 362 <tr><td class="paramdir">[out]</td><td class="paramname">result</td><td>the negative of the element. </td></tr> 363 <tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>the element to negate. </td></tr> 364 </table> 365 </dd> 366</dl> 367 368</div> 369</div> 370<a id="a26c35eefbd1ee11a5d078c44d295ff5a"></a> 371<h2 class="memtitle"><span class="permalink"><a href="#a26c35eefbd1ee11a5d078c44d295ff5a">◆ </a></span>EFq2OnCurve()</h2> 372 373<div class="memitem"> 374<div class="memproto"> 375 <table class="memname"> 376 <tr> 377 <td class="memname">int EFq2OnCurve </td> 378 <td>(</td> 379 <td class="paramtype"><a class="el" href="struct_ecc_point_fq2.html">EccPointFq2</a> const * </td> 380 <td class="paramname"><em>in</em></td><td>)</td> 381 <td></td> 382 </tr> 383 </table> 384</div><div class="memdoc"> 385 386<p>Test if a point is in EFq2. </p> 387<dl class="params"><dt>Parameters</dt><dd> 388 <table class="params"> 389 <tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>the point to test. </td></tr> 390 </table> 391 </dd> 392</dl> 393<dl class="section return"><dt>Returns</dt><dd>A value different from zero (i.e., true) indeed the point is on the curve. Zero (i.e., false) otherwise. </dd></dl> 394 395</div> 396</div> 397<a id="a484e6af5efc2042d865999dac9489684"></a> 398<h2 class="memtitle"><span class="permalink"><a href="#a484e6af5efc2042d865999dac9489684">◆ </a></span>EFq2ToAffine()</h2> 399 400<div class="memitem"> 401<div class="memproto"> 402 <table class="memname"> 403 <tr> 404 <td class="memname">int EFq2ToAffine </td> 405 <td>(</td> 406 <td class="paramtype"><a class="el" href="struct_ecc_point_fq2.html">EccPointFq2</a> * </td> 407 <td class="paramname"><em>result</em>, </td> 408 </tr> 409 <tr> 410 <td class="paramkey"></td> 411 <td></td> 412 <td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const * </td> 413 <td class="paramname"><em>in</em> </td> 414 </tr> 415 <tr> 416 <td></td> 417 <td>)</td> 418 <td></td><td></td> 419 </tr> 420 </table> 421</div><div class="memdoc"> 422 423<p>Convert a point from Jacobi to Affine representation. </p> 424<dl class="params"><dt>Parameters</dt><dd> 425 <table class="params"> 426 <tr><td class="paramdir">[out]</td><td class="paramname">result</td><td>target. </td></tr> 427 <tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>value to set. </td></tr> 428 </table> 429 </dd> 430</dl> 431<dl class="section return"><dt>Returns</dt><dd>1 on success, 0 on failure </dd></dl> 432 433</div> 434</div> 435</div><!-- contents --> 436</div><!-- doc-content --> 437<!-- HTML footer for doxygen 1.8.10--> 438<!-- start footer part --> 439<div id="nav-path" class="navpath"><!-- id is needed for treeview function! --> 440 <ul> 441 <li class="navelem"><a class="el" href="dir_12b90d9c027aaf878a834df729679a56.html">epid</a></li><li class="navelem"><a class="el" href="dir_512d3e62841a8535b716ec4cf8b9e950.html">member</a></li><li class="navelem"><a class="el" href="dir_ea12d375fc1eb79df248c0adf953af4f.html">tiny</a></li><li class="navelem"><a class="el" href="dir_5f2fc2cf41db41de2b55e03ffa7a1d16.html">math</a></li><li class="navelem"><a class="el" href="efq2_8h.html">efq2.h</a></li> 442 <li class="footer"> 443 © 2016-2017 Intel Corporation 444 </li> 445 </ul> 446</div> 447</body> 448</html> 449