| <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> |
| <html xmlns="http://www.w3.org/1999/xhtml"> |
| <head> |
| <meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/> |
| <meta http-equiv="X-UA-Compatible" content="IE=9"/> |
| <meta name="generator" content="Doxygen 1.8.13"/> |
| <meta name="viewport" content="width=device-width, initial-scale=1"/> |
| <title>AMCL: ff_4096.h File Reference</title> |
| <link href="tabs.css" rel="stylesheet" type="text/css"/> |
| <script type="text/javascript" src="jquery.js"></script> |
| <script type="text/javascript" src="dynsections.js"></script> |
| <link href="search/search.css" rel="stylesheet" type="text/css"/> |
| <script type="text/javascript" src="search/searchdata.js"></script> |
| <script type="text/javascript" src="search/search.js"></script> |
| <script type="text/x-mathjax-config"> |
| MathJax.Hub.Config({ |
| extensions: ["tex2jax.js"], |
| jax: ["input/TeX","output/HTML-CSS"], |
| }); |
| </script><script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js"></script> |
| <link href="doxygen.css" rel="stylesheet" type="text/css" /> |
| </head> |
| <body> |
| <div id="top"><!-- do not remove this div, it is closed by doxygen! --> |
| <div id="titlearea"> |
| <table cellspacing="0" cellpadding="0"> |
| <tbody> |
| <tr style="height: 56px;"> |
| <td id="projectalign" style="padding-left: 0.5em;"> |
| <div id="projectname">AMCL |
| </div> |
| </td> |
| </tr> |
| </tbody> |
| </table> |
| </div> |
| <!-- end header part --> |
| <!-- Generated by Doxygen 1.8.13 --> |
| <script type="text/javascript"> |
| var searchBox = new SearchBox("searchBox", "search",false,'Search'); |
| </script> |
| <script type="text/javascript" src="menudata.js"></script> |
| <script type="text/javascript" src="menu.js"></script> |
| <script type="text/javascript"> |
| $(function() { |
| initMenu('',true,false,'search.php','Search'); |
| $(document).ready(function() { init_search(); }); |
| }); |
| </script> |
| <div id="main-nav"></div> |
| <!-- window showing the filter options --> |
| <div id="MSearchSelectWindow" |
| onmouseover="return searchBox.OnSearchSelectShow()" |
| onmouseout="return searchBox.OnSearchSelectHide()" |
| onkeydown="return searchBox.OnSearchSelectKey(event)"> |
| </div> |
| |
| <!-- iframe showing the search results (closed by default) --> |
| <div id="MSearchResultsWindow"> |
| <iframe src="javascript:void(0)" frameborder="0" |
| name="MSearchResults" id="MSearchResults"> |
| </iframe> |
| </div> |
| |
| <div id="nav-path" class="navpath"> |
| <ul> |
| <li class="navelem"><a class="el" href="dir_df7310d1a865926cc859bcfb1880083f.html">include</a></li> </ul> |
| </div> |
| </div><!-- top --> |
| <div class="header"> |
| <div class="summary"> |
| <a href="#define-members">Macros</a> | |
| <a href="#func-members">Functions</a> </div> |
| <div class="headertitle"> |
| <div class="title">ff_4096.h File Reference</div> </div> |
| </div><!--header--> |
| <div class="contents"> |
| |
| <p>FF Header File. |
| <a href="#details">More...</a></p> |
| <div class="textblock"><code>#include "<a class="el" href="big__512__60_8h_source.html">big_512_60.h</a>"</code><br /> |
| <code>#include "<a class="el" href="config__ff__4096_8h_source.html">config_ff_4096.h</a>"</code><br /> |
| </div> |
| <p><a href="ff__4096_8h_source.html">Go to the source code of this file.</a></p> |
| <table class="memberdecls"> |
| <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a> |
| Macros</h2></td></tr> |
| <tr class="memitem:a7f6ddf757543171f82e428ac7d423a11"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a7f6ddf757543171f82e428ac7d423a11">HFLEN_4096</a>   (<a class="el" href="config__ff__4096_8h.html#af3c21ac004bc32aa00e7a20811de549c">FFLEN_4096</a>/2)</td></tr> |
| <tr class="separator:a7f6ddf757543171f82e428ac7d423a11"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a2a5eefc75994091eb32c356d2ac4ef74"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a2a5eefc75994091eb32c356d2ac4ef74">P_MBITS_4096</a>   (<a class="el" href="config__big__512__60_8h.html#ab19d60ee027e5dad97c3c89e3d3d7525">MODBYTES_512_60</a>*8)</td></tr> |
| <tr class="separator:a2a5eefc75994091eb32c356d2ac4ef74"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a5ba9da7c29e141e405df229d57698561"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a5ba9da7c29e141e405df229d57698561">P_TBITS_4096</a>   (<a class="el" href="ff__4096_8h.html#a2a5eefc75994091eb32c356d2ac4ef74">P_MBITS_4096</a>%<a class="el" href="config__big__512__60_8h.html#a050f6c0139f8a543eb7b2feb010a1934">BASEBITS_512_60</a>)</td></tr> |
| <tr class="separator:a5ba9da7c29e141e405df229d57698561"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a07368efd518f012615129b503e86071a"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a07368efd518f012615129b503e86071a">P_EXCESS_4096</a>(a)   (((a[<a class="el" href="big__512__60_8h.html#adec8989721abc8479e76ab775cfaea1b">NLEN_512_60</a>-1])>>(<a class="el" href="ff__4096_8h.html#a5ba9da7c29e141e405df229d57698561">P_TBITS_4096</a>))+1)</td></tr> |
| <tr class="separator:a07368efd518f012615129b503e86071a"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a99298f8dcffe9f3fc923400b35d7a931"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a99298f8dcffe9f3fc923400b35d7a931">P_FEXCESS_4096</a>   ((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)1<<(<a class="el" href="config__big__512__60_8h.html#a050f6c0139f8a543eb7b2feb010a1934">BASEBITS_512_60</a>*<a class="el" href="big__512__60_8h.html#adec8989721abc8479e76ab775cfaea1b">NLEN_512_60</a>-<a class="el" href="ff__4096_8h.html#a2a5eefc75994091eb32c356d2ac4ef74">P_MBITS_4096</a>-1))</td></tr> |
| <tr class="separator:a99298f8dcffe9f3fc923400b35d7a931"><td class="memSeparator" colspan="2"> </td></tr> |
| </table><table class="memberdecls"> |
| <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a> |
| Functions</h2></td></tr> |
| <tr class="memitem:aa6620d609998d614af0cdbc5bb142fef"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#aa6620d609998d614af0cdbc5bb142fef">FF_4096_copy</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *y, int n)</td></tr> |
| <tr class="memdesc:aa6620d609998d614af0cdbc5bb142fef"><td class="mdescLeft"> </td><td class="mdescRight">Copy one FF element of given length to another. <a href="#aa6620d609998d614af0cdbc5bb142fef">More...</a><br /></td></tr> |
| <tr class="separator:aa6620d609998d614af0cdbc5bb142fef"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ab2bd58921dc13c16b318fadaaa426c86"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#ab2bd58921dc13c16b318fadaaa426c86">FF_4096_init</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, <a class="el" href="arch_8h.html#af31fcb3b74c4bcf6507f62d801277492">sign32</a> m, int n)</td></tr> |
| <tr class="memdesc:ab2bd58921dc13c16b318fadaaa426c86"><td class="mdescLeft"> </td><td class="mdescRight">Initialize an FF element of given length from a 32-bit integer m. <a href="#ab2bd58921dc13c16b318fadaaa426c86">More...</a><br /></td></tr> |
| <tr class="separator:ab2bd58921dc13c16b318fadaaa426c86"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a820d4aa699f06e9f4dd0ab9af33971ef"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a820d4aa699f06e9f4dd0ab9af33971ef">FF_4096_zero</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, int n)</td></tr> |
| <tr class="memdesc:a820d4aa699f06e9f4dd0ab9af33971ef"><td class="mdescLeft"> </td><td class="mdescRight">Set FF element of given size to zero. <a href="#a820d4aa699f06e9f4dd0ab9af33971ef">More...</a><br /></td></tr> |
| <tr class="separator:a820d4aa699f06e9f4dd0ab9af33971ef"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a612661860d5a10326a7d1d9bd9fc042a"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a612661860d5a10326a7d1d9bd9fc042a">FF_4096_iszilch</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, int n)</td></tr> |
| <tr class="memdesc:a612661860d5a10326a7d1d9bd9fc042a"><td class="mdescLeft"> </td><td class="mdescRight">Tests for FF element equal to zero. <a href="#a612661860d5a10326a7d1d9bd9fc042a">More...</a><br /></td></tr> |
| <tr class="separator:a612661860d5a10326a7d1d9bd9fc042a"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a04c6775eb656571c7405a7c332204b73"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a04c6775eb656571c7405a7c332204b73">FF_4096_parity</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x)</td></tr> |
| <tr class="memdesc:a04c6775eb656571c7405a7c332204b73"><td class="mdescLeft"> </td><td class="mdescRight">return parity of an FF, that is the least significant bit <a href="#a04c6775eb656571c7405a7c332204b73">More...</a><br /></td></tr> |
| <tr class="separator:a04c6775eb656571c7405a7c332204b73"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a370584bba01616d2f9183f45a9843892"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a370584bba01616d2f9183f45a9843892">FF_4096_lastbits</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, int m)</td></tr> |
| <tr class="memdesc:a370584bba01616d2f9183f45a9843892"><td class="mdescLeft"> </td><td class="mdescRight">return least significant m bits of an FF <a href="#a370584bba01616d2f9183f45a9843892">More...</a><br /></td></tr> |
| <tr class="separator:a370584bba01616d2f9183f45a9843892"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ab1b30b23b1045f3895b332de9c998cb9"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#ab1b30b23b1045f3895b332de9c998cb9">FF_4096_one</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, int n)</td></tr> |
| <tr class="memdesc:ab1b30b23b1045f3895b332de9c998cb9"><td class="mdescLeft"> </td><td class="mdescRight">Set FF element of given size to unity. <a href="#ab1b30b23b1045f3895b332de9c998cb9">More...</a><br /></td></tr> |
| <tr class="separator:ab1b30b23b1045f3895b332de9c998cb9"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a73d3c33052d89ca0dee0fb26c4fc2217"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a73d3c33052d89ca0dee0fb26c4fc2217">FF_4096_comp</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *y, int n)</td></tr> |
| <tr class="memdesc:a73d3c33052d89ca0dee0fb26c4fc2217"><td class="mdescLeft"> </td><td class="mdescRight">Compares two FF numbers. Inputs must be normalised externally. <a href="#a73d3c33052d89ca0dee0fb26c4fc2217">More...</a><br /></td></tr> |
| <tr class="separator:a73d3c33052d89ca0dee0fb26c4fc2217"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a09fd9cdc5655d0a2e1090e527deadf11"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a09fd9cdc5655d0a2e1090e527deadf11">FF_4096_add</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *y, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *z, int n)</td></tr> |
| <tr class="memdesc:a09fd9cdc5655d0a2e1090e527deadf11"><td class="mdescLeft"> </td><td class="mdescRight">addition of two FFs <a href="#a09fd9cdc5655d0a2e1090e527deadf11">More...</a><br /></td></tr> |
| <tr class="separator:a09fd9cdc5655d0a2e1090e527deadf11"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a83e69edebd0e5bf47cdcca2ef66448b3"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a83e69edebd0e5bf47cdcca2ef66448b3">FF_4096_sub</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *y, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *z, int n)</td></tr> |
| <tr class="memdesc:a83e69edebd0e5bf47cdcca2ef66448b3"><td class="mdescLeft"> </td><td class="mdescRight">subtraction of two FFs <a href="#a83e69edebd0e5bf47cdcca2ef66448b3">More...</a><br /></td></tr> |
| <tr class="separator:a83e69edebd0e5bf47cdcca2ef66448b3"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a04e75ee7ab59343fb307f1117770efae"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a04e75ee7ab59343fb307f1117770efae">FF_4096_inc</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, int m, int n)</td></tr> |
| <tr class="memdesc:a04e75ee7ab59343fb307f1117770efae"><td class="mdescLeft"> </td><td class="mdescRight">increment an FF by an integer,and normalise <a href="#a04e75ee7ab59343fb307f1117770efae">More...</a><br /></td></tr> |
| <tr class="separator:a04e75ee7ab59343fb307f1117770efae"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a9ff126587d142afb94e2269279db66d0"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a9ff126587d142afb94e2269279db66d0">FF_4096_dec</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, int m, int n)</td></tr> |
| <tr class="memdesc:a9ff126587d142afb94e2269279db66d0"><td class="mdescLeft"> </td><td class="mdescRight">Decrement an FF by an integer,and normalise. <a href="#a9ff126587d142afb94e2269279db66d0">More...</a><br /></td></tr> |
| <tr class="separator:a9ff126587d142afb94e2269279db66d0"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a44d26e71554c346b873fc9392b216bbe"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a44d26e71554c346b873fc9392b216bbe">FF_4096_norm</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, int n)</td></tr> |
| <tr class="memdesc:a44d26e71554c346b873fc9392b216bbe"><td class="mdescLeft"> </td><td class="mdescRight">Normalises the components of an FF. <a href="#a44d26e71554c346b873fc9392b216bbe">More...</a><br /></td></tr> |
| <tr class="separator:a44d26e71554c346b873fc9392b216bbe"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ab541ed2980cbc85257629b615e462180"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#ab541ed2980cbc85257629b615e462180">FF_4096_shl</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, int n)</td></tr> |
| <tr class="memdesc:ab541ed2980cbc85257629b615e462180"><td class="mdescLeft"> </td><td class="mdescRight">Shift left an FF by 1 bit. <a href="#ab541ed2980cbc85257629b615e462180">More...</a><br /></td></tr> |
| <tr class="separator:ab541ed2980cbc85257629b615e462180"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a2538dfeb3784df67640232f892bbec0c"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a2538dfeb3784df67640232f892bbec0c">FF_4096_shr</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, int n)</td></tr> |
| <tr class="memdesc:a2538dfeb3784df67640232f892bbec0c"><td class="mdescLeft"> </td><td class="mdescRight">Shift right an FF by 1 bit. <a href="#a2538dfeb3784df67640232f892bbec0c">More...</a><br /></td></tr> |
| <tr class="separator:a2538dfeb3784df67640232f892bbec0c"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ad08b440a6bd16506069fe9a5a3f81a6b"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#ad08b440a6bd16506069fe9a5a3f81a6b">FF_4096_output</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, int n)</td></tr> |
| <tr class="memdesc:ad08b440a6bd16506069fe9a5a3f81a6b"><td class="mdescLeft"> </td><td class="mdescRight">Formats and outputs an FF to the console. <a href="#ad08b440a6bd16506069fe9a5a3f81a6b">More...</a><br /></td></tr> |
| <tr class="separator:ad08b440a6bd16506069fe9a5a3f81a6b"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a1f089c038088d203953933028c17590c"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a1f089c038088d203953933028c17590c">FF_4096_rawoutput</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, int n)</td></tr> |
| <tr class="memdesc:a1f089c038088d203953933028c17590c"><td class="mdescLeft"> </td><td class="mdescRight">Formats and outputs an FF to the console, in raw form. <a href="#a1f089c038088d203953933028c17590c">More...</a><br /></td></tr> |
| <tr class="separator:a1f089c038088d203953933028c17590c"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:affe535d1298125ecf39b6b19d3d5339c"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#affe535d1298125ecf39b6b19d3d5339c">FF_4096_toOctet</a> (<a class="el" href="structoctet.html">octet</a> *S, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, int n)</td></tr> |
| <tr class="memdesc:affe535d1298125ecf39b6b19d3d5339c"><td class="mdescLeft"> </td><td class="mdescRight">Formats and outputs an FF instance to an octet string. <a href="#affe535d1298125ecf39b6b19d3d5339c">More...</a><br /></td></tr> |
| <tr class="separator:affe535d1298125ecf39b6b19d3d5339c"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a3dd8e90c99742c0448834110713d0e8b"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a3dd8e90c99742c0448834110713d0e8b">FF_4096_fromOctet</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, <a class="el" href="structoctet.html">octet</a> *S, int n)</td></tr> |
| <tr class="memdesc:a3dd8e90c99742c0448834110713d0e8b"><td class="mdescLeft"> </td><td class="mdescRight">Populates an FF instance from an octet string. <a href="#a3dd8e90c99742c0448834110713d0e8b">More...</a><br /></td></tr> |
| <tr class="separator:a3dd8e90c99742c0448834110713d0e8b"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a483766d396120e84c5f4962b3569e7c4"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a483766d396120e84c5f4962b3569e7c4">FF_4096_mul</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *y, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *z, int n)</td></tr> |
| <tr class="memdesc:a483766d396120e84c5f4962b3569e7c4"><td class="mdescLeft"> </td><td class="mdescRight">Multiplication of two FFs. <a href="#a483766d396120e84c5f4962b3569e7c4">More...</a><br /></td></tr> |
| <tr class="separator:a483766d396120e84c5f4962b3569e7c4"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a16098d5d71673da11edd1b112489e8d7"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a16098d5d71673da11edd1b112489e8d7">FF_4096_mod</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *p, int n)</td></tr> |
| <tr class="memdesc:a16098d5d71673da11edd1b112489e8d7"><td class="mdescLeft"> </td><td class="mdescRight">Reduce FF mod a modulus. <a href="#a16098d5d71673da11edd1b112489e8d7">More...</a><br /></td></tr> |
| <tr class="separator:a16098d5d71673da11edd1b112489e8d7"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:af7fd11300d70bbe3f080656cd2a13b10"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#af7fd11300d70bbe3f080656cd2a13b10">FF_4096_sqr</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *y, int n)</td></tr> |
| <tr class="memdesc:af7fd11300d70bbe3f080656cd2a13b10"><td class="mdescLeft"> </td><td class="mdescRight">Square an FF. <a href="#af7fd11300d70bbe3f080656cd2a13b10">More...</a><br /></td></tr> |
| <tr class="separator:af7fd11300d70bbe3f080656cd2a13b10"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ad38c38a2d6c7117387bfe65f404ac903"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#ad38c38a2d6c7117387bfe65f404ac903">FF_4096_dmod</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *y, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *z, int n)</td></tr> |
| <tr class="memdesc:ad38c38a2d6c7117387bfe65f404ac903"><td class="mdescLeft"> </td><td class="mdescRight">Reduces a double-length FF with respect to a given modulus. <a href="#ad38c38a2d6c7117387bfe65f404ac903">More...</a><br /></td></tr> |
| <tr class="separator:ad38c38a2d6c7117387bfe65f404ac903"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a85aa8045e50bea317275eb33bc6a1195"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a85aa8045e50bea317275eb33bc6a1195">FF_4096_invmodp</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *y, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *z, int n)</td></tr> |
| <tr class="memdesc:a85aa8045e50bea317275eb33bc6a1195"><td class="mdescLeft"> </td><td class="mdescRight">Invert an FF mod a prime modulus. <a href="#a85aa8045e50bea317275eb33bc6a1195">More...</a><br /></td></tr> |
| <tr class="separator:a85aa8045e50bea317275eb33bc6a1195"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ae25e81829ee9ee3718606b771c6bddbe"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#ae25e81829ee9ee3718606b771c6bddbe">FF_4096_invmod2m</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> U[], <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> a[], int n)</td></tr> |
| <tr class="memdesc:ae25e81829ee9ee3718606b771c6bddbe"><td class="mdescLeft"> </td><td class="mdescRight">Invert an FF mod 2^(n*BIGBITS) <a href="#ae25e81829ee9ee3718606b771c6bddbe">More...</a><br /></td></tr> |
| <tr class="separator:ae25e81829ee9ee3718606b771c6bddbe"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ad3126be04cd16dc624d16a036ab40e0b"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#ad3126be04cd16dc624d16a036ab40e0b">FF_4096_random</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, <a class="el" href="structcsprng.html">csprng</a> *R, int n)</td></tr> |
| <tr class="memdesc:ad3126be04cd16dc624d16a036ab40e0b"><td class="mdescLeft"> </td><td class="mdescRight">Create an FF from a random number generator. <a href="#ad3126be04cd16dc624d16a036ab40e0b">More...</a><br /></td></tr> |
| <tr class="separator:ad3126be04cd16dc624d16a036ab40e0b"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ac7521d5b55e6ceb1ad5ff6dde3245f78"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#ac7521d5b55e6ceb1ad5ff6dde3245f78">FF_4096_randomnum</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *y, <a class="el" href="structcsprng.html">csprng</a> *R, int n)</td></tr> |
| <tr class="memdesc:ac7521d5b55e6ceb1ad5ff6dde3245f78"><td class="mdescLeft"> </td><td class="mdescRight">Create a random FF less than a given modulus from a random number generator. <a href="#ac7521d5b55e6ceb1ad5ff6dde3245f78">More...</a><br /></td></tr> |
| <tr class="separator:ac7521d5b55e6ceb1ad5ff6dde3245f78"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a94147045c8870761893c8be1ed1ac28f"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a94147045c8870761893c8be1ed1ac28f">FF_4096_skpow</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *r, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *e, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *p, int n, int en)</td></tr> |
| <tr class="memdesc:a94147045c8870761893c8be1ed1ac28f"><td class="mdescLeft"> </td><td class="mdescRight">Calculate r=x^e mod p, side channel resistant. <a href="#a94147045c8870761893c8be1ed1ac28f">More...</a><br /></td></tr> |
| <tr class="separator:a94147045c8870761893c8be1ed1ac28f"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a24cf9585b1c49a1ac674e0055ad41444"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a24cf9585b1c49a1ac674e0055ad41444">FF_4096_skspow</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *r, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> e, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *p, int n)</td></tr> |
| <tr class="memdesc:a24cf9585b1c49a1ac674e0055ad41444"><td class="mdescLeft"> </td><td class="mdescRight">Calculate r=x^e mod p, side channel resistant. <a href="#a24cf9585b1c49a1ac674e0055ad41444">More...</a><br /></td></tr> |
| <tr class="separator:a24cf9585b1c49a1ac674e0055ad41444"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a6105e5392c6eb1ccefad29fcf6249d09"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a6105e5392c6eb1ccefad29fcf6249d09">FF_4096_skpow2</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *r, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *e, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *y, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *f, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *p, int n, int en)</td></tr> |
| <tr class="memdesc:a6105e5392c6eb1ccefad29fcf6249d09"><td class="mdescLeft"> </td><td class="mdescRight">Calculate r=x^e.y^f mod p for big e and f, side channel resistant. <a href="#a6105e5392c6eb1ccefad29fcf6249d09">More...</a><br /></td></tr> |
| <tr class="separator:a6105e5392c6eb1ccefad29fcf6249d09"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ad607a8113dfc06ba2748acf6889ad6e2"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#ad607a8113dfc06ba2748acf6889ad6e2">FF_4096_power</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *r, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, int e, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *p, int n)</td></tr> |
| <tr class="memdesc:ad607a8113dfc06ba2748acf6889ad6e2"><td class="mdescLeft"> </td><td class="mdescRight">Calculate r=x^e mod p. <a href="#ad607a8113dfc06ba2748acf6889ad6e2">More...</a><br /></td></tr> |
| <tr class="separator:ad607a8113dfc06ba2748acf6889ad6e2"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a86909027f6afe381756ee285d0140389"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a86909027f6afe381756ee285d0140389">FF_4096_pow</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *r, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *e, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *p, int n)</td></tr> |
| <tr class="memdesc:a86909027f6afe381756ee285d0140389"><td class="mdescLeft"> </td><td class="mdescRight">Calculate r=x^e mod p. <a href="#a86909027f6afe381756ee285d0140389">More...</a><br /></td></tr> |
| <tr class="separator:a86909027f6afe381756ee285d0140389"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a6b4764f34fb655cd9e0515a0f70dd20d"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a6b4764f34fb655cd9e0515a0f70dd20d">FF_4096_pow2</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *r, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> e, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *y, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> f, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *m, int n)</td></tr> |
| <tr class="memdesc:a6b4764f34fb655cd9e0515a0f70dd20d"><td class="mdescLeft"> </td><td class="mdescRight">Calculate r=x^e.y^f mod m. <a href="#a6b4764f34fb655cd9e0515a0f70dd20d">More...</a><br /></td></tr> |
| <tr class="separator:a6b4764f34fb655cd9e0515a0f70dd20d"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a92c6e9c3e736e6ab4f0bffd91f6a78e5"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a92c6e9c3e736e6ab4f0bffd91f6a78e5">FF_4096_cfactor</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, <a class="el" href="arch_8h.html#af31fcb3b74c4bcf6507f62d801277492">sign32</a> s, int n)</td></tr> |
| <tr class="memdesc:a92c6e9c3e736e6ab4f0bffd91f6a78e5"><td class="mdescLeft"> </td><td class="mdescRight">Test if an FF has factor in common with integer s. <a href="#a92c6e9c3e736e6ab4f0bffd91f6a78e5">More...</a><br /></td></tr> |
| <tr class="separator:a92c6e9c3e736e6ab4f0bffd91f6a78e5"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a0eb6f00726cef964a7276fd573d301ba"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a0eb6f00726cef964a7276fd573d301ba">FF_4096_prime</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *x, <a class="el" href="structcsprng.html">csprng</a> *R, int n)</td></tr> |
| <tr class="memdesc:a0eb6f00726cef964a7276fd573d301ba"><td class="mdescLeft"> </td><td class="mdescRight">Test if an FF is prime. <a href="#a0eb6f00726cef964a7276fd573d301ba">More...</a><br /></td></tr> |
| <tr class="separator:a0eb6f00726cef964a7276fd573d301ba"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a1a06ae9c3226295b796b318746e19e21"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a1a06ae9c3226295b796b318746e19e21">FF_4096_crt</a> (<a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *r, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *rp, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *rq, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *p, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *q, int n)</td></tr> |
| <tr class="memdesc:a1a06ae9c3226295b796b318746e19e21"><td class="mdescLeft"> </td><td class="mdescRight">Combine rp and rq using the Chinese Remainder Theorem. <a href="#a1a06ae9c3226295b796b318746e19e21">More...</a><br /></td></tr> |
| <tr class="separator:a1a06ae9c3226295b796b318746e19e21"><td class="memSeparator" colspan="2"> </td></tr> |
| </table> |
| <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2> |
| <div class="textblock"><dl class="section author"><dt>Author</dt><dd>Mike Scott </dd></dl> |
| </div><h2 class="groupheader">Macro Definition Documentation</h2> |
| <a id="a7f6ddf757543171f82e428ac7d423a11"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a7f6ddf757543171f82e428ac7d423a11">◆ </a></span>HFLEN_4096</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">#define HFLEN_4096   (<a class="el" href="config__ff__4096_8h.html#af3c21ac004bc32aa00e7a20811de549c">FFLEN_4096</a>/2)</td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>Useful for half-size RSA private key operations </p> |
| |
| </div> |
| </div> |
| <a id="a07368efd518f012615129b503e86071a"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a07368efd518f012615129b503e86071a">◆ </a></span>P_EXCESS_4096</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">#define P_EXCESS_4096</td> |
| <td>(</td> |
| <td class="paramtype"> </td> |
| <td class="paramname">a</td><td>)</td> |
| <td>   (((a[<a class="el" href="big__512__60_8h.html#adec8989721abc8479e76ab775cfaea1b">NLEN_512_60</a>-1])>>(<a class="el" href="ff__4096_8h.html#a5ba9da7c29e141e405df229d57698561">P_TBITS_4096</a>))+1)</td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>TODO </p> |
| |
| </div> |
| </div> |
| <a id="a99298f8dcffe9f3fc923400b35d7a931"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a99298f8dcffe9f3fc923400b35d7a931">◆ </a></span>P_FEXCESS_4096</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">#define P_FEXCESS_4096   ((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)1<<(<a class="el" href="config__big__512__60_8h.html#a050f6c0139f8a543eb7b2feb010a1934">BASEBITS_512_60</a>*<a class="el" href="big__512__60_8h.html#adec8989721abc8479e76ab775cfaea1b">NLEN_512_60</a>-<a class="el" href="ff__4096_8h.html#a2a5eefc75994091eb32c356d2ac4ef74">P_MBITS_4096</a>-1))</td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>TODO </p> |
| |
| </div> |
| </div> |
| <a id="a2a5eefc75994091eb32c356d2ac4ef74"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a2a5eefc75994091eb32c356d2ac4ef74">◆ </a></span>P_MBITS_4096</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">#define P_MBITS_4096   (<a class="el" href="config__big__512__60_8h.html#ab19d60ee027e5dad97c3c89e3d3d7525">MODBYTES_512_60</a>*8)</td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>Number of bits in modulus </p> |
| |
| </div> |
| </div> |
| <a id="a5ba9da7c29e141e405df229d57698561"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a5ba9da7c29e141e405df229d57698561">◆ </a></span>P_TBITS_4096</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">#define P_TBITS_4096   (<a class="el" href="ff__4096_8h.html#a2a5eefc75994091eb32c356d2ac4ef74">P_MBITS_4096</a>%<a class="el" href="config__big__512__60_8h.html#a050f6c0139f8a543eb7b2feb010a1934">BASEBITS_512_60</a>)</td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>TODO </p> |
| |
| </div> |
| </div> |
| <h2 class="groupheader">Function Documentation</h2> |
| <a id="a09fd9cdc5655d0a2e1090e527deadf11"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a09fd9cdc5655d0a2e1090e527deadf11">◆ </a></span>FF_4096_add()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_add </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>y</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>z</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF instance, on exit = y+z </td></tr> |
| <tr><td class="paramname">y</td><td>FF instance </td></tr> |
| <tr><td class="paramname">z</td><td>FF instance </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a92c6e9c3e736e6ab4f0bffd91f6a78e5"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a92c6e9c3e736e6ab4f0bffd91f6a78e5">◆ </a></span>FF_4096_cfactor()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int FF_4096_cfactor </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="arch_8h.html#af31fcb3b74c4bcf6507f62d801277492">sign32</a> </td> |
| <td class="paramname"><em>s</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF instance to be tested </td></tr> |
| <tr><td class="paramname">s</td><td>the supplied integer </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd>1 if gcd(x,s)!=1, else return 0 </dd></dl> |
| |
| </div> |
| </div> |
| <a id="a73d3c33052d89ca0dee0fb26c4fc2217"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a73d3c33052d89ca0dee0fb26c4fc2217">◆ </a></span>FF_4096_comp()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int FF_4096_comp </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>y</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>first FF number to be compared </td></tr> |
| <tr><td class="paramname">y</td><td>second FF number to be compared </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd>-1 is x<y, 0 if x=y, 1 if x>y </dd></dl> |
| |
| </div> |
| </div> |
| <a id="aa6620d609998d614af0cdbc5bb142fef"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#aa6620d609998d614af0cdbc5bb142fef">◆ </a></span>FF_4096_copy()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_copy </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>y</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF instance to be copied to, on exit = y </td></tr> |
| <tr><td class="paramname">y</td><td>FF instance to be copied from </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a1a06ae9c3226295b796b318746e19e21"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a1a06ae9c3226295b796b318746e19e21">◆ </a></span>FF_4096_crt()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_crt </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>r</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>rp</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>rq</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>q</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">r</td><td>FF instance, on exit the solution of the system </td></tr> |
| <tr><td class="paramname">rp</td><td>FF instance, solution modulo p </td></tr> |
| <tr><td class="paramname">rq</td><td>FF instance, solution modulo q </td></tr> |
| <tr><td class="paramname">p</td><td>FF instance, MUST be coprime with q </td></tr> |
| <tr><td class="paramname">q</td><td>FF instance, MUST be coprime with p </td></tr> |
| <tr><td class="paramname">n</td><td>size of p and q in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a9ff126587d142afb94e2269279db66d0"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a9ff126587d142afb94e2269279db66d0">◆ </a></span>FF_4096_dec()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_dec </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>m</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF instance, on exit = x-m </td></tr> |
| <tr><td class="paramname">m</td><td>an integer to be subtracted from x </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="ad38c38a2d6c7117387bfe65f404ac903"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ad38c38a2d6c7117387bfe65f404ac903">◆ </a></span>FF_4096_dmod()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_dmod </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>y</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>z</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>This is slow </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF instance, on exit = y mod z </td></tr> |
| <tr><td class="paramname">y</td><td>FF instance, of double length 2*n </td></tr> |
| <tr><td class="paramname">z</td><td>FF modulus </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a3dd8e90c99742c0448834110713d0e8b"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a3dd8e90c99742c0448834110713d0e8b">◆ </a></span>FF_4096_fromOctet()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_fromOctet </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structoctet.html">octet</a> * </td> |
| <td class="paramname"><em>S</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>Creates FF from big-endian base 256 form. </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF instance to be created from an octet string </td></tr> |
| <tr><td class="paramname">S</td><td>input octet string </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a04e75ee7ab59343fb307f1117770efae"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a04e75ee7ab59343fb307f1117770efae">◆ </a></span>FF_4096_inc()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_inc </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>m</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF instance, on exit = x+m </td></tr> |
| <tr><td class="paramname">m</td><td>an integer to be added to x </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="ab2bd58921dc13c16b318fadaaa426c86"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ab2bd58921dc13c16b318fadaaa426c86">◆ </a></span>FF_4096_init()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_init </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="arch_8h.html#af31fcb3b74c4bcf6507f62d801277492">sign32</a> </td> |
| <td class="paramname"><em>m</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF instance to be copied to, on exit = m </td></tr> |
| <tr><td class="paramname">m</td><td>integer </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="ae25e81829ee9ee3718606b771c6bddbe"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ae25e81829ee9ee3718606b771c6bddbe">◆ </a></span>FF_4096_invmod2m()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_invmod2m </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> </td> |
| <td class="paramname"><em>U</em>[], </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> </td> |
| <td class="paramname"><em>a</em>[], </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">U</td><td>FF instance, on exit 1/a mod 2^(n*BIGBITS) </td></tr> |
| <tr><td class="paramname">a</td><td>FF instance </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a85aa8045e50bea317275eb33bc6a1195"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a85aa8045e50bea317275eb33bc6a1195">◆ </a></span>FF_4096_invmodp()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_invmodp </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>y</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>z</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF instance, on exit = 1/y mod z </td></tr> |
| <tr><td class="paramname">y</td><td>FF instance </td></tr> |
| <tr><td class="paramname">z</td><td>FF prime modulus </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a612661860d5a10326a7d1d9bd9fc042a"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a612661860d5a10326a7d1d9bd9fc042a">◆ </a></span>FF_4096_iszilch()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int FF_4096_iszilch </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF number to be tested </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd>1 if zero, else returns 0 </dd></dl> |
| |
| </div> |
| </div> |
| <a id="a370584bba01616d2f9183f45a9843892"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a370584bba01616d2f9183f45a9843892">◆ </a></span>FF_4096_lastbits()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int FF_4096_lastbits </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>m</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF number </td></tr> |
| <tr><td class="paramname">m</td><td>number of bits to return. Assumed to be less than BASEBITS. </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd>least significant n bits as an integer </dd></dl> |
| |
| </div> |
| </div> |
| <a id="a16098d5d71673da11edd1b112489e8d7"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a16098d5d71673da11edd1b112489e8d7">◆ </a></span>FF_4096_mod()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_mod </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>This is slow </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF instance to be reduced mod p - on exit = x mod p </td></tr> |
| <tr><td class="paramname">p</td><td>FF modulus </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a483766d396120e84c5f4962b3569e7c4"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a483766d396120e84c5f4962b3569e7c4">◆ </a></span>FF_4096_mul()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_mul </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>y</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>z</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>Uses Karatsuba method internally </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF instance, on exit = y*z </td></tr> |
| <tr><td class="paramname">y</td><td>FF instance </td></tr> |
| <tr><td class="paramname">z</td><td>FF instance </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a44d26e71554c346b873fc9392b216bbe"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a44d26e71554c346b873fc9392b216bbe">◆ </a></span>FF_4096_norm()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_norm </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF instance to be normalised </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="ab1b30b23b1045f3895b332de9c998cb9"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ab1b30b23b1045f3895b332de9c998cb9">◆ </a></span>FF_4096_one()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_one </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF instance to be set to unity </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="ad08b440a6bd16506069fe9a5a3f81a6b"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ad08b440a6bd16506069fe9a5a3f81a6b">◆ </a></span>FF_4096_output()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_output </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF instance to be printed </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a04c6775eb656571c7405a7c332204b73"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a04c6775eb656571c7405a7c332204b73">◆ </a></span>FF_4096_parity()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int FF_4096_parity </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em></td><td>)</td> |
| <td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF number </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd>0 or 1 </dd></dl> |
| |
| </div> |
| </div> |
| <a id="a86909027f6afe381756ee285d0140389"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a86909027f6afe381756ee285d0140389">◆ </a></span>FF_4096_pow()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_pow </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>r</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>e</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">r</td><td>FF instance, on exit = x^e mod p </td></tr> |
| <tr><td class="paramname">x</td><td>FF instance </td></tr> |
| <tr><td class="paramname">e</td><td>FF exponent </td></tr> |
| <tr><td class="paramname">p</td><td>FF modulus </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a6b4764f34fb655cd9e0515a0f70dd20d"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a6b4764f34fb655cd9e0515a0f70dd20d">◆ </a></span>FF_4096_pow2()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_pow2 </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>r</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> </td> |
| <td class="paramname"><em>e</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>y</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> </td> |
| <td class="paramname"><em>f</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>m</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">r</td><td>FF instance, on exit = x^e.y^f mod p </td></tr> |
| <tr><td class="paramname">x</td><td>FF instance </td></tr> |
| <tr><td class="paramname">e</td><td>BIG exponent </td></tr> |
| <tr><td class="paramname">y</td><td>FF instance </td></tr> |
| <tr><td class="paramname">f</td><td>BIG exponent </td></tr> |
| <tr><td class="paramname">m</td><td>FF modulus </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="ad607a8113dfc06ba2748acf6889ad6e2"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ad607a8113dfc06ba2748acf6889ad6e2">◆ </a></span>FF_4096_power()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_power </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>r</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>e</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>For very short integer exponent </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">r</td><td>FF instance, on exit = x^e mod p </td></tr> |
| <tr><td class="paramname">x</td><td>FF instance </td></tr> |
| <tr><td class="paramname">e</td><td>integer exponent </td></tr> |
| <tr><td class="paramname">p</td><td>FF modulus </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a0eb6f00726cef964a7276fd573d301ba"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a0eb6f00726cef964a7276fd573d301ba">◆ </a></span>FF_4096_prime()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int FF_4096_prime </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structcsprng.html">csprng</a> * </td> |
| <td class="paramname"><em>R</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>Uses Miller-Rabin Method </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF instance to be tested </td></tr> |
| <tr><td class="paramname">R</td><td>an instance of a Cryptographically Secure Random Number Generator </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd>1 if x is (almost certainly) prime, else return 0 </dd></dl> |
| |
| </div> |
| </div> |
| <a id="ad3126be04cd16dc624d16a036ab40e0b"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ad3126be04cd16dc624d16a036ab40e0b">◆ </a></span>FF_4096_random()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_random </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structcsprng.html">csprng</a> * </td> |
| <td class="paramname"><em>R</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF instance, on exit x is a random number of length n BIGs with most significant bit a 1 </td></tr> |
| <tr><td class="paramname">R</td><td>an instance of a Cryptographically Secure Random Number Generator </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="ac7521d5b55e6ceb1ad5ff6dde3245f78"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ac7521d5b55e6ceb1ad5ff6dde3245f78">◆ </a></span>FF_4096_randomnum()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_randomnum </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>y</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structcsprng.html">csprng</a> * </td> |
| <td class="paramname"><em>R</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF instance, on exit x is a random number < y </td></tr> |
| <tr><td class="paramname">y</td><td>FF instance, the modulus </td></tr> |
| <tr><td class="paramname">R</td><td>an instance of a Cryptographically Secure Random Number Generator </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a1f089c038088d203953933028c17590c"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a1f089c038088d203953933028c17590c">◆ </a></span>FF_4096_rawoutput()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_rawoutput </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF instance to be printed </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="ab541ed2980cbc85257629b615e462180"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ab541ed2980cbc85257629b615e462180">◆ </a></span>FF_4096_shl()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_shl </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF instance to be shifted left </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a2538dfeb3784df67640232f892bbec0c"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a2538dfeb3784df67640232f892bbec0c">◆ </a></span>FF_4096_shr()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_shr </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF instance to be shifted right </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a94147045c8870761893c8be1ed1ac28f"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a94147045c8870761893c8be1ed1ac28f">◆ </a></span>FF_4096_skpow()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_skpow </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>r</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>e</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>en</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">r</td><td>FF instance, on exit = x^e mod p </td></tr> |
| <tr><td class="paramname">x</td><td>FF instance </td></tr> |
| <tr><td class="paramname">e</td><td>FF exponent </td></tr> |
| <tr><td class="paramname">p</td><td>FF modulus </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| <tr><td class="paramname">en</td><td>size of the exponent in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a6105e5392c6eb1ccefad29fcf6249d09"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a6105e5392c6eb1ccefad29fcf6249d09">◆ </a></span>FF_4096_skpow2()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_skpow2 </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>r</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>e</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>y</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>f</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>en</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">r</td><td>FF instance, on exit = x^e.y^f mod p </td></tr> |
| <tr><td class="paramname">x</td><td>FF instance </td></tr> |
| <tr><td class="paramname">e</td><td>FF exponent </td></tr> |
| <tr><td class="paramname">y</td><td>FF instance </td></tr> |
| <tr><td class="paramname">f</td><td>FF exponent </td></tr> |
| <tr><td class="paramname">p</td><td>FF modulus </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| <tr><td class="paramname">en</td><td>size of the exponent in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a24cf9585b1c49a1ac674e0055ad41444"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a24cf9585b1c49a1ac674e0055ad41444">◆ </a></span>FF_4096_skspow()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_skspow </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>r</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> </td> |
| <td class="paramname"><em>e</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>For short BIG exponent </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">r</td><td>FF instance, on exit = x^e mod p </td></tr> |
| <tr><td class="paramname">x</td><td>FF instance </td></tr> |
| <tr><td class="paramname">e</td><td>BIG exponent </td></tr> |
| <tr><td class="paramname">p</td><td>FF modulus </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="af7fd11300d70bbe3f080656cd2a13b10"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#af7fd11300d70bbe3f080656cd2a13b10">◆ </a></span>FF_4096_sqr()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_sqr </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>y</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>Uses Karatsuba method internally </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF instance, on exit = y^2 </td></tr> |
| <tr><td class="paramname">y</td><td>FF instance to be squared </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a83e69edebd0e5bf47cdcca2ef66448b3"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a83e69edebd0e5bf47cdcca2ef66448b3">◆ </a></span>FF_4096_sub()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_sub </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>y</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>z</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF instance, on exit = y-z </td></tr> |
| <tr><td class="paramname">y</td><td>FF instance </td></tr> |
| <tr><td class="paramname">z</td><td>FF instance </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="affe535d1298125ecf39b6b19d3d5339c"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#affe535d1298125ecf39b6b19d3d5339c">◆ </a></span>FF_4096_toOctet()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_toOctet </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structoctet.html">octet</a> * </td> |
| <td class="paramname"><em>S</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>Converts an FF to big-endian base 256 form. </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">S</td><td>output octet string </td></tr> |
| <tr><td class="paramname">x</td><td>FF instance to be converted to an octet string </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a820d4aa699f06e9f4dd0ab9af33971ef"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a820d4aa699f06e9f4dd0ab9af33971ef">◆ </a></span>FF_4096_zero()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FF_4096_zero </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>n</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FF instance to be set to zero </td></tr> |
| <tr><td class="paramname">n</td><td>size of FF in BIGs </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| </div><!-- contents --> |
| <!-- start footer part --> |
| <hr class="footer"/><address class="footer"><small> |
| Generated by  <a href="http://www.doxygen.org/index.html"> |
| <img class="footer" src="doxygen.png" alt="doxygen"/> |
| </a> 1.8.13 |
| </small></address> |
| </body> |
| </html> |