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<li class="navelem"><a class="el" href="dir_df7310d1a865926cc859bcfb1880083f.html">include</a></li> </ul>
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<a href="#define-members">Macros</a> &#124;
<a href="#func-members">Functions</a> </div>
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<div class="title">ff_4096.h File Reference</div> </div>
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<p>FF Header File.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &quot;<a class="el" href="big__512__60_8h_source.html">big_512_60.h</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="config__ff__4096_8h_source.html">config_ff_4096.h</a>&quot;</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&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a7f6ddf757543171f82e428ac7d423a11">HFLEN_4096</a>&#160;&#160;&#160;(<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">&#160;</td></tr>
<tr class="memitem:a2a5eefc75994091eb32c356d2ac4ef74"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a2a5eefc75994091eb32c356d2ac4ef74">P_MBITS_4096</a>&#160;&#160;&#160;(<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">&#160;</td></tr>
<tr class="memitem:a5ba9da7c29e141e405df229d57698561"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a5ba9da7c29e141e405df229d57698561">P_TBITS_4096</a>&#160;&#160;&#160;(<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">&#160;</td></tr>
<tr class="memitem:a07368efd518f012615129b503e86071a"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a07368efd518f012615129b503e86071a">P_EXCESS_4096</a>(a)&#160;&#160;&#160;(((a[<a class="el" href="big__512__60_8h.html#adec8989721abc8479e76ab775cfaea1b">NLEN_512_60</a>-1])&gt;&gt;(<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">&#160;</td></tr>
<tr class="memitem:a99298f8dcffe9f3fc923400b35d7a931"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a99298f8dcffe9f3fc923400b35d7a931">P_FEXCESS_4096</a>&#160;&#160;&#160;((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)1&lt;&lt;(<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">&#160;</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&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:ab2bd58921dc13c16b318fadaaa426c86"><td class="memItemLeft" align="right" valign="top">void&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:a820d4aa699f06e9f4dd0ab9af33971ef"><td class="memItemLeft" align="right" valign="top">void&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:a612661860d5a10326a7d1d9bd9fc042a"><td class="memItemLeft" align="right" valign="top">int&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:a04c6775eb656571c7405a7c332204b73"><td class="memItemLeft" align="right" valign="top">int&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:a370584bba01616d2f9183f45a9843892"><td class="memItemLeft" align="right" valign="top">int&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:ab1b30b23b1045f3895b332de9c998cb9"><td class="memItemLeft" align="right" valign="top">void&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:a73d3c33052d89ca0dee0fb26c4fc2217"><td class="memItemLeft" align="right" valign="top">int&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:a09fd9cdc5655d0a2e1090e527deadf11"><td class="memItemLeft" align="right" valign="top">void&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:a83e69edebd0e5bf47cdcca2ef66448b3"><td class="memItemLeft" align="right" valign="top">void&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:a04e75ee7ab59343fb307f1117770efae"><td class="memItemLeft" align="right" valign="top">void&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:a9ff126587d142afb94e2269279db66d0"><td class="memItemLeft" align="right" valign="top">void&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:a44d26e71554c346b873fc9392b216bbe"><td class="memItemLeft" align="right" valign="top">void&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:ab541ed2980cbc85257629b615e462180"><td class="memItemLeft" align="right" valign="top">void&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:a2538dfeb3784df67640232f892bbec0c"><td class="memItemLeft" align="right" valign="top">void&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:ad08b440a6bd16506069fe9a5a3f81a6b"><td class="memItemLeft" align="right" valign="top">void&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:a1f089c038088d203953933028c17590c"><td class="memItemLeft" align="right" valign="top">void&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:affe535d1298125ecf39b6b19d3d5339c"><td class="memItemLeft" align="right" valign="top">void&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:a3dd8e90c99742c0448834110713d0e8b"><td class="memItemLeft" align="right" valign="top">void&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:a483766d396120e84c5f4962b3569e7c4"><td class="memItemLeft" align="right" valign="top">void&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:a178303ff977c30fc108db4e98723d740"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a178303ff977c30fc108db4e98723d740">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> *m, int n)</td></tr>
<tr class="memdesc:a178303ff977c30fc108db4e98723d740"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduce FF mod a modulus. <a href="#a178303ff977c30fc108db4e98723d740">More...</a><br /></td></tr>
<tr class="separator:a178303ff977c30fc108db4e98723d740"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af7fd11300d70bbe3f080656cd2a13b10"><td class="memItemLeft" align="right" valign="top">void&#160;</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">&#160;</td><td class="mdescRight">Square an FF. <a href="#af7fd11300d70bbe3f080656cd2a13b10">More...</a><br /></td></tr>
<tr class="separator:af7fd11300d70bbe3f080656cd2a13b10"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad38c38a2d6c7117387bfe65f404ac903"><td class="memItemLeft" align="right" valign="top">void&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:a85aa8045e50bea317275eb33bc6a1195"><td class="memItemLeft" align="right" valign="top">void&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:ad3126be04cd16dc624d16a036ab40e0b"><td class="memItemLeft" align="right" valign="top">void&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:ac7521d5b55e6ceb1ad5ff6dde3245f78"><td class="memItemLeft" align="right" valign="top">void&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:a21e0d681199ce63714be3ed742c164d9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a21e0d681199ce63714be3ed742c164d9">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> *m, int n)</td></tr>
<tr class="memdesc:a21e0d681199ce63714be3ed742c164d9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate r=x^e mod m, side channel resistant. <a href="#a21e0d681199ce63714be3ed742c164d9">More...</a><br /></td></tr>
<tr class="separator:a21e0d681199ce63714be3ed742c164d9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6412d0214c61c25a6048e75eb76e5116"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a6412d0214c61c25a6048e75eb76e5116">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> *m, int n)</td></tr>
<tr class="memdesc:a6412d0214c61c25a6048e75eb76e5116"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate r=x^e mod m, side channel resistant. <a href="#a6412d0214c61c25a6048e75eb76e5116">More...</a><br /></td></tr>
<tr class="separator:a6412d0214c61c25a6048e75eb76e5116"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab3592fd9ab13f4f517b076529a0e5f98"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#ab3592fd9ab13f4f517b076529a0e5f98">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> *m, int n)</td></tr>
<tr class="memdesc:ab3592fd9ab13f4f517b076529a0e5f98"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate r=x^e mod m. <a href="#ab3592fd9ab13f4f517b076529a0e5f98">More...</a><br /></td></tr>
<tr class="separator:ab3592fd9ab13f4f517b076529a0e5f98"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1db67329f43de1ad6e2b73d77e48451a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ff__4096_8h.html#a1db67329f43de1ad6e2b73d77e48451a">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> *m, int n)</td></tr>
<tr class="memdesc:a1db67329f43de1ad6e2b73d77e48451a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate r=x^e mod m. <a href="#a1db67329f43de1ad6e2b73d77e48451a">More...</a><br /></td></tr>
<tr class="separator:a1db67329f43de1ad6e2b73d77e48451a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a92c6e9c3e736e6ab4f0bffd91f6a78e5"><td class="memItemLeft" align="right" valign="top">int&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:a0eb6f00726cef964a7276fd573d301ba"><td class="memItemLeft" align="right" valign="top">int&#160;</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">&#160;</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">&#160;</td></tr>
<tr class="memitem:a6b4764f34fb655cd9e0515a0f70dd20d"><td class="memItemLeft" align="right" valign="top">void&#160;</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">&#160;</td><td class="mdescRight">Calculate r=x^e.y^f mod m. <a href="#a6b4764f34fb655cd9e0515a0f70dd20d">More...</a><br /></td></tr>
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<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">&#9670;&nbsp;</a></span>HFLEN_4096</h2>
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<td class="memname">#define HFLEN_4096&#160;&#160;&#160;(<a class="el" href="config__ff__4096_8h.html#af3c21ac004bc32aa00e7a20811de549c">FFLEN_4096</a>/2)</td>
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<p>Useful for half-size RSA private key operations </p>
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<a id="a07368efd518f012615129b503e86071a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a07368efd518f012615129b503e86071a">&#9670;&nbsp;</a></span>P_EXCESS_4096</h2>
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<td class="memname">#define P_EXCESS_4096</td>
<td>(</td>
<td class="paramtype">&#160;</td>
<td class="paramname">a</td><td>)</td>
<td>&#160;&#160;&#160;(((a[<a class="el" href="big__512__60_8h.html#adec8989721abc8479e76ab775cfaea1b">NLEN_512_60</a>-1])&gt;&gt;(<a class="el" href="ff__4096_8h.html#a5ba9da7c29e141e405df229d57698561">P_TBITS_4096</a>))+1)</td>
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<p>TODO </p>
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<a id="a99298f8dcffe9f3fc923400b35d7a931"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a99298f8dcffe9f3fc923400b35d7a931">&#9670;&nbsp;</a></span>P_FEXCESS_4096</h2>
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<td class="memname">#define P_FEXCESS_4096&#160;&#160;&#160;((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)1&lt;&lt;(<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>
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<p>TODO </p>
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<a id="a2a5eefc75994091eb32c356d2ac4ef74"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2a5eefc75994091eb32c356d2ac4ef74">&#9670;&nbsp;</a></span>P_MBITS_4096</h2>
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<td class="memname">#define P_MBITS_4096&#160;&#160;&#160;(<a class="el" href="config__big__512__60_8h.html#ab19d60ee027e5dad97c3c89e3d3d7525">MODBYTES_512_60</a>*8)</td>
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<p>Number of bits in modulus </p>
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<a id="a5ba9da7c29e141e405df229d57698561"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5ba9da7c29e141e405df229d57698561">&#9670;&nbsp;</a></span>P_TBITS_4096</h2>
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<td class="memname">#define P_TBITS_4096&#160;&#160;&#160;(<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>
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<p>TODO </p>
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<h2 class="groupheader">Function Documentation</h2>
<a id="a09fd9cdc5655d0a2e1090e527deadf11"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a09fd9cdc5655d0a2e1090e527deadf11">&#9670;&nbsp;</a></span>FF_4096_add()</h2>
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<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> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *&#160;</td>
<td class="paramname"><em>z</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</td>
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<td></td>
<td>)</td>
<td></td><td></td>
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<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>
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<a id="a92c6e9c3e736e6ab4f0bffd91f6a78e5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a92c6e9c3e736e6ab4f0bffd91f6a78e5">&#9670;&nbsp;</a></span>FF_4096_cfactor()</h2>
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<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> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arch_8h.html#af31fcb3b74c4bcf6507f62d801277492">sign32</a>&#160;</td>
<td class="paramname"><em>s</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<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>
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<a id="a73d3c33052d89ca0dee0fb26c4fc2217"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a73d3c33052d89ca0dee0fb26c4fc2217">&#9670;&nbsp;</a></span>FF_4096_comp()</h2>
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<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> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</td>
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<td></td>
<td>)</td>
<td></td><td></td>
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<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&lt;y, 0 if x=y, 1 if x&gt;y </dd></dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa6620d609998d614af0cdbc5bb142fef">&#9670;&nbsp;</a></span>FF_4096_copy()</h2>
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<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> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</td>
</tr>
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<td></td>
<td>)</td>
<td></td><td></td>
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<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>
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<h2 class="memtitle"><span class="permalink"><a href="#a9ff126587d142afb94e2269279db66d0">&#9670;&nbsp;</a></span>FF_4096_dec()</h2>
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<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> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>m</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</td>
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<td></td>
<td>)</td>
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<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>
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<h2 class="memtitle"><span class="permalink"><a href="#ad38c38a2d6c7117387bfe65f404ac903">&#9670;&nbsp;</a></span>FF_4096_dmod()</h2>
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<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> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *&#160;</td>
<td class="paramname"><em>z</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</td>
</tr>
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<td></td>
<td>)</td>
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<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>
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<h2 class="memtitle"><span class="permalink"><a href="#a3dd8e90c99742c0448834110713d0e8b">&#9670;&nbsp;</a></span>FF_4096_fromOctet()</h2>
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<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> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>S</em>, </td>
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<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</td>
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<td>)</td>
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<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>
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<h2 class="memtitle"><span class="permalink"><a href="#a04e75ee7ab59343fb307f1117770efae">&#9670;&nbsp;</a></span>FF_4096_inc()</h2>
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<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> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>m</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</td>
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<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<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>
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<h2 class="memtitle"><span class="permalink"><a href="#ab2bd58921dc13c16b318fadaaa426c86">&#9670;&nbsp;</a></span>FF_4096_init()</h2>
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<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> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="arch_8h.html#af31fcb3b74c4bcf6507f62d801277492">sign32</a>&#160;</td>
<td class="paramname"><em>m</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</td>
</tr>
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<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<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="a85aa8045e50bea317275eb33bc6a1195"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a85aa8045e50bea317275eb33bc6a1195">&#9670;&nbsp;</a></span>FF_4096_invmodp()</h2>
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<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> *&#160;</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> *&#160;</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> *&#160;</td>
<td class="paramname"><em>z</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</td>
</tr>
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<td></td>
<td>)</td>
<td></td><td></td>
</tr>
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<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>
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<h2 class="memtitle"><span class="permalink"><a href="#a612661860d5a10326a7d1d9bd9fc042a">&#9670;&nbsp;</a></span>FF_4096_iszilch()</h2>
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<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> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</td>
</tr>
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<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<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>
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<h2 class="memtitle"><span class="permalink"><a href="#a370584bba01616d2f9183f45a9843892">&#9670;&nbsp;</a></span>FF_4096_lastbits()</h2>
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<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> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>m</em>&#160;</td>
</tr>
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<td></td>
<td>)</td>
<td></td><td></td>
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<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="a178303ff977c30fc108db4e98723d740"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a178303ff977c30fc108db4e98723d740">&#9670;&nbsp;</a></span>FF_4096_mod()</h2>
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<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> *&#160;</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> *&#160;</td>
<td class="paramname"><em>m</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</td>
</tr>
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<td></td>
<td>)</td>
<td></td><td></td>
</tr>
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<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 m - on exit = x mod m </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>
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<h2 class="memtitle"><span class="permalink"><a href="#a483766d396120e84c5f4962b3569e7c4">&#9670;&nbsp;</a></span>FF_4096_mul()</h2>
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<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> *&#160;</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> *&#160;</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> *&#160;</td>
<td class="paramname"><em>z</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</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">&#9670;&nbsp;</a></span>FF_4096_norm()</h2>
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<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> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</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">&#9670;&nbsp;</a></span>FF_4096_one()</h2>
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<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> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</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">&#9670;&nbsp;</a></span>FF_4096_output()</h2>
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<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> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</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">&#9670;&nbsp;</a></span>FF_4096_parity()</h2>
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<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> *&#160;</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="a1db67329f43de1ad6e2b73d77e48451a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1db67329f43de1ad6e2b73d77e48451a">&#9670;&nbsp;</a></span>FF_4096_pow()</h2>
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<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> *&#160;</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> *&#160;</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> *&#160;</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> *&#160;</td>
<td class="paramname"><em>m</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</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">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="a6b4764f34fb655cd9e0515a0f70dd20d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6b4764f34fb655cd9e0515a0f70dd20d">&#9670;&nbsp;</a></span>FF_4096_pow2()</h2>
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<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> *&#160;</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> *&#160;</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>&#160;</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> *&#160;</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>&#160;</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> *&#160;</td>
<td class="paramname"><em>m</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</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="ab3592fd9ab13f4f517b076529a0e5f98"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab3592fd9ab13f4f517b076529a0e5f98">&#9670;&nbsp;</a></span>FF_4096_power()</h2>
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<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> *&#160;</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> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</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> *&#160;</td>
<td class="paramname"><em>m</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</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">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="a0eb6f00726cef964a7276fd573d301ba"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0eb6f00726cef964a7276fd573d301ba">&#9670;&nbsp;</a></span>FF_4096_prime()</h2>
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<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> *&#160;</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> *&#160;</td>
<td class="paramname"><em>R</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</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">&#9670;&nbsp;</a></span>FF_4096_random()</h2>
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<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> *&#160;</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> *&#160;</td>
<td class="paramname"><em>R</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</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">&#9670;&nbsp;</a></span>FF_4096_randomnum()</h2>
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<div class="memproto">
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<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> *&#160;</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> *&#160;</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> *&#160;</td>
<td class="paramname"><em>R</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</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 &lt; 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">&#9670;&nbsp;</a></span>FF_4096_rawoutput()</h2>
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<div class="memproto">
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<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> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</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">&#9670;&nbsp;</a></span>FF_4096_shl()</h2>
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<div class="memproto">
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<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> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</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">&#9670;&nbsp;</a></span>FF_4096_shr()</h2>
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<div class="memproto">
<table class="memname">
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<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> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<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="a21e0d681199ce63714be3ed742c164d9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a21e0d681199ce63714be3ed742c164d9">&#9670;&nbsp;</a></span>FF_4096_skpow()</h2>
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<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> *&#160;</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> *&#160;</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> *&#160;</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> *&#160;</td>
<td class="paramname"><em>m</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
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<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">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="a6412d0214c61c25a6048e75eb76e5116"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6412d0214c61c25a6048e75eb76e5116">&#9670;&nbsp;</a></span>FF_4096_skspow()</h2>
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<div class="memproto">
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<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> *&#160;</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> *&#160;</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>&#160;</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> *&#160;</td>
<td class="paramname"><em>m</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<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">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="af7fd11300d70bbe3f080656cd2a13b10"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af7fd11300d70bbe3f080656cd2a13b10">&#9670;&nbsp;</a></span>FF_4096_sqr()</h2>
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<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> *&#160;</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> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</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">&#9670;&nbsp;</a></span>FF_4096_sub()</h2>
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<div class="memproto">
<table class="memname">
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<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> *&#160;</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> *&#160;</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> *&#160;</td>
<td class="paramname"><em>z</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</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">&#9670;&nbsp;</a></span>FF_4096_toOctet()</h2>
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<td class="memname">void FF_4096_toOctet </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</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> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</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">&#9670;&nbsp;</a></span>FF_4096_zero()</h2>
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<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> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</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>
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