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<a href="#nested-classes">Data Structures</a> &#124;
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<p>FP Header File.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &quot;<a class="el" href="big__256__56_8h_source.html">big_256_56.h</a>&quot;</code><br />
<code>#include &quot;config_field_ANSSI.h&quot;</code><br />
</div>
<p><a href="fp__ANSSI_8h_source.html">Go to the source code of this file.</a></p>
<table class="memberdecls">
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Data Structures</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">FP Structure - quadratic extension field. <a href="structFP__ANSSI.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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Macros</h2></td></tr>
<tr class="memitem:afba210343184c29ef2c2b998cd25e8d2"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#afba210343184c29ef2c2b998cd25e8d2">MODBITS_ANSSI</a>&#160;&#160;&#160;MBITS_ANSSI</td></tr>
<tr class="separator:afba210343184c29ef2c2b998cd25e8d2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a58d80fd5ad08321998e9e67a5de68ef5"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#a58d80fd5ad08321998e9e67a5de68ef5">TBITS_ANSSI</a>&#160;&#160;&#160;(MBITS_ANSSI%<a class="el" href="config__big__256__56_8h.html#ac6cb0299279eb5c9a07bccfd297f1b40">BASEBITS_256_56</a>)</td></tr>
<tr class="separator:a58d80fd5ad08321998e9e67a5de68ef5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab7b26983c94ec98398de24a43094b5ba"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#ab7b26983c94ec98398de24a43094b5ba">TMASK_ANSSI</a>&#160;&#160;&#160;(((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)1&lt;&lt;<a class="el" href="fp__ANSSI_8h.html#a58d80fd5ad08321998e9e67a5de68ef5">TBITS_ANSSI</a>)-1)</td></tr>
<tr class="separator:ab7b26983c94ec98398de24a43094b5ba"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a06ff48f2852204de608729a4dbe35cfe"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#a06ff48f2852204de608729a4dbe35cfe">FEXCESS_ANSSI</a>&#160;&#160;&#160;(((<a class="el" href="arch_8h.html#af31fcb3b74c4bcf6507f62d801277492">sign32</a>)1&lt;&lt;MAXXES_ANSSI)-1)</td></tr>
<tr class="separator:a06ff48f2852204de608729a4dbe35cfe"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afe3ed618a3933bca5137ce5d66609fe8"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#afe3ed618a3933bca5137ce5d66609fe8">OMASK_ANSSI</a>&#160;&#160;&#160;(-((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)(1)&lt;&lt;<a class="el" href="fp__ANSSI_8h.html#a58d80fd5ad08321998e9e67a5de68ef5">TBITS_ANSSI</a>))</td></tr>
<tr class="separator:afe3ed618a3933bca5137ce5d66609fe8"><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:a6b386af045a130775ea0c6181648a82a"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#a6b386af045a130775ea0c6181648a82a">FP_ANSSI_iszilch</a> (<a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *x)</td></tr>
<tr class="memdesc:a6b386af045a130775ea0c6181648a82a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP equal to zero mod Modulus. <a href="#a6b386af045a130775ea0c6181648a82a">More...</a><br /></td></tr>
<tr class="separator:a6b386af045a130775ea0c6181648a82a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3503c756e1882f4e5e24620348b8e7de"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#a3503c756e1882f4e5e24620348b8e7de">FP_ANSSI_zero</a> (<a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *x)</td></tr>
<tr class="memdesc:a3503c756e1882f4e5e24620348b8e7de"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP to zero. <a href="#a3503c756e1882f4e5e24620348b8e7de">More...</a><br /></td></tr>
<tr class="separator:a3503c756e1882f4e5e24620348b8e7de"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad410a4fc5aff6e9b09c844e8dd3a11ed"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#ad410a4fc5aff6e9b09c844e8dd3a11ed">FP_ANSSI_copy</a> (<a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *y, <a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *x)</td></tr>
<tr class="memdesc:ad410a4fc5aff6e9b09c844e8dd3a11ed"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy an FP. <a href="#ad410a4fc5aff6e9b09c844e8dd3a11ed">More...</a><br /></td></tr>
<tr class="separator:ad410a4fc5aff6e9b09c844e8dd3a11ed"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a66f77b203d293308aba494aec3de866a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#a66f77b203d293308aba494aec3de866a">FP_ANSSI_rcopy</a> (<a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *y, const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> x)</td></tr>
<tr class="memdesc:a66f77b203d293308aba494aec3de866a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy from ROM to an FP. <a href="#a66f77b203d293308aba494aec3de866a">More...</a><br /></td></tr>
<tr class="separator:a66f77b203d293308aba494aec3de866a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0d63be7ac02a110d22b65e99ac923833"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#a0d63be7ac02a110d22b65e99ac923833">FP_ANSSI_equals</a> (<a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *x, <a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *y)</td></tr>
<tr class="memdesc:a0d63be7ac02a110d22b65e99ac923833"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compares two FPs. <a href="#a0d63be7ac02a110d22b65e99ac923833">More...</a><br /></td></tr>
<tr class="separator:a0d63be7ac02a110d22b65e99ac923833"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a32ae24359781c3de809dd9eb98ce88c2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#a32ae24359781c3de809dd9eb98ce88c2">FP_ANSSI_cswap</a> (<a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *x, <a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *y, int s)</td></tr>
<tr class="memdesc:a32ae24359781c3de809dd9eb98ce88c2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional constant time swap of two FP numbers. <a href="#a32ae24359781c3de809dd9eb98ce88c2">More...</a><br /></td></tr>
<tr class="separator:a32ae24359781c3de809dd9eb98ce88c2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad1cea73daa5a32fdab88484402d42880"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#ad1cea73daa5a32fdab88484402d42880">FP_ANSSI_cmove</a> (<a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *x, <a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *y, int s)</td></tr>
<tr class="memdesc:ad1cea73daa5a32fdab88484402d42880"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional copy of FP number. <a href="#ad1cea73daa5a32fdab88484402d42880">More...</a><br /></td></tr>
<tr class="separator:ad1cea73daa5a32fdab88484402d42880"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6258434e8058840dcf4cb468a9ba16fb"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#a6258434e8058840dcf4cb468a9ba16fb">FP_ANSSI_nres</a> (<a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *y, <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> x)</td></tr>
<tr class="memdesc:a6258434e8058840dcf4cb468a9ba16fb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts from BIG integer to residue form mod Modulus. <a href="#a6258434e8058840dcf4cb468a9ba16fb">More...</a><br /></td></tr>
<tr class="separator:a6258434e8058840dcf4cb468a9ba16fb"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a840475c7e755dbf7aec27d83cb94dbe0"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#a840475c7e755dbf7aec27d83cb94dbe0">FP_ANSSI_redc</a> (<a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> x, <a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *y)</td></tr>
<tr class="memdesc:a840475c7e755dbf7aec27d83cb94dbe0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts from residue form back to BIG integer form. <a href="#a840475c7e755dbf7aec27d83cb94dbe0">More...</a><br /></td></tr>
<tr class="separator:a840475c7e755dbf7aec27d83cb94dbe0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa32d2eebe2e1c0b1ebb4e76ec3fe1d90"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#aa32d2eebe2e1c0b1ebb4e76ec3fe1d90">FP_ANSSI_one</a> (<a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *x)</td></tr>
<tr class="memdesc:aa32d2eebe2e1c0b1ebb4e76ec3fe1d90"><td class="mdescLeft">&#160;</td><td class="mdescRight">Sets FP to representation of unity in residue form. <a href="#aa32d2eebe2e1c0b1ebb4e76ec3fe1d90">More...</a><br /></td></tr>
<tr class="separator:aa32d2eebe2e1c0b1ebb4e76ec3fe1d90"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a48b254b07f325dec1f49abf5fa9da663"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#a48b254b07f325dec1f49abf5fa9da663">FP_ANSSI_mod</a> (<a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> r, <a class="el" href="big__256__56_8h.html#a6183570cd770f0ce6be0d94a42ee465a">DBIG_256_56</a> d)</td></tr>
<tr class="memdesc:a48b254b07f325dec1f49abf5fa9da663"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces DBIG to BIG exploiting special form of the modulus. <a href="#a48b254b07f325dec1f49abf5fa9da663">More...</a><br /></td></tr>
<tr class="separator:a48b254b07f325dec1f49abf5fa9da663"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3ebfa6f7ea8ca7f30e8b40c18e0096b7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#a3ebfa6f7ea8ca7f30e8b40c18e0096b7">FP_ANSSI_mul</a> (<a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *x, <a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *y, <a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *z)</td></tr>
<tr class="memdesc:a3ebfa6f7ea8ca7f30e8b40c18e0096b7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular multiplication of two FPs, mod Modulus. <a href="#a3ebfa6f7ea8ca7f30e8b40c18e0096b7">More...</a><br /></td></tr>
<tr class="separator:a3ebfa6f7ea8ca7f30e8b40c18e0096b7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a93623015d083bc4760c6601ce3bf3ac8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#a93623015d083bc4760c6601ce3bf3ac8">FP_ANSSI_imul</a> (<a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *x, <a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *y, int i)</td></tr>
<tr class="memdesc:a93623015d083bc4760c6601ce3bf3ac8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular multiplication of an FP, by a small integer, mod Modulus. <a href="#a93623015d083bc4760c6601ce3bf3ac8">More...</a><br /></td></tr>
<tr class="separator:a93623015d083bc4760c6601ce3bf3ac8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abda11b70b4dc234f18c1831e58cdb40c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#abda11b70b4dc234f18c1831e58cdb40c">FP_ANSSI_sqr</a> (<a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *x, <a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *y)</td></tr>
<tr class="memdesc:abda11b70b4dc234f18c1831e58cdb40c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular squaring of an FP, mod Modulus. <a href="#abda11b70b4dc234f18c1831e58cdb40c">More...</a><br /></td></tr>
<tr class="separator:abda11b70b4dc234f18c1831e58cdb40c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a742d808914bd1246c3df7f2dadeb4fae"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#a742d808914bd1246c3df7f2dadeb4fae">FP_ANSSI_add</a> (<a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *x, <a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *y, <a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *z)</td></tr>
<tr class="memdesc:a742d808914bd1246c3df7f2dadeb4fae"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular addition of two FPs, mod Modulus. <a href="#a742d808914bd1246c3df7f2dadeb4fae">More...</a><br /></td></tr>
<tr class="separator:a742d808914bd1246c3df7f2dadeb4fae"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3527da636b2e2a5ed46e22f9ad97921b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#a3527da636b2e2a5ed46e22f9ad97921b">FP_ANSSI_sub</a> (<a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *x, <a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *y, <a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *z)</td></tr>
<tr class="memdesc:a3527da636b2e2a5ed46e22f9ad97921b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular subtraction of two FPs, mod Modulus. <a href="#a3527da636b2e2a5ed46e22f9ad97921b">More...</a><br /></td></tr>
<tr class="separator:a3527da636b2e2a5ed46e22f9ad97921b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a77f8b5dba8b64895fa19b2ef42a9ece5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#a77f8b5dba8b64895fa19b2ef42a9ece5">FP_ANSSI_div2</a> (<a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *x, <a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *y)</td></tr>
<tr class="memdesc:a77f8b5dba8b64895fa19b2ef42a9ece5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular division by 2 of an FP, mod Modulus. <a href="#a77f8b5dba8b64895fa19b2ef42a9ece5">More...</a><br /></td></tr>
<tr class="separator:a77f8b5dba8b64895fa19b2ef42a9ece5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a72a49a8dcf42a8028021d0d0899bbd62"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#a72a49a8dcf42a8028021d0d0899bbd62">FP_ANSSI_pow</a> (<a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *x, <a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *y, <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> z)</td></tr>
<tr class="memdesc:a72a49a8dcf42a8028021d0d0899bbd62"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular exponentiation of an FP, to the power of a BIG, mod Modulus. <a href="#a72a49a8dcf42a8028021d0d0899bbd62">More...</a><br /></td></tr>
<tr class="separator:a72a49a8dcf42a8028021d0d0899bbd62"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a65e5915c907213b689d98a7db8dd9647"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#a65e5915c907213b689d98a7db8dd9647">FP_ANSSI_sqrt</a> (<a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *x, <a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *y)</td></tr>
<tr class="memdesc:a65e5915c907213b689d98a7db8dd9647"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular square root of a an FP, mod Modulus. <a href="#a65e5915c907213b689d98a7db8dd9647">More...</a><br /></td></tr>
<tr class="separator:a65e5915c907213b689d98a7db8dd9647"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a735f2e1fedae7c7093c12b9ce8aac131"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#a735f2e1fedae7c7093c12b9ce8aac131">FP_ANSSI_neg</a> (<a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *x, <a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *y)</td></tr>
<tr class="memdesc:a735f2e1fedae7c7093c12b9ce8aac131"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular negation of a an FP, mod Modulus. <a href="#a735f2e1fedae7c7093c12b9ce8aac131">More...</a><br /></td></tr>
<tr class="separator:a735f2e1fedae7c7093c12b9ce8aac131"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8c8324c23374dbf3408917e0f74bc23a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#a8c8324c23374dbf3408917e0f74bc23a">FP_ANSSI_output</a> (<a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *x)</td></tr>
<tr class="memdesc:a8c8324c23374dbf3408917e0f74bc23a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Outputs an FP number to the console. <a href="#a8c8324c23374dbf3408917e0f74bc23a">More...</a><br /></td></tr>
<tr class="separator:a8c8324c23374dbf3408917e0f74bc23a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:accb7d97f18436d3bc45986ce68c8e8b2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#accb7d97f18436d3bc45986ce68c8e8b2">FP_ANSSI_rawoutput</a> (<a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *x)</td></tr>
<tr class="memdesc:accb7d97f18436d3bc45986ce68c8e8b2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Outputs an FP number to the console, in raw form. <a href="#accb7d97f18436d3bc45986ce68c8e8b2">More...</a><br /></td></tr>
<tr class="separator:accb7d97f18436d3bc45986ce68c8e8b2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6357e932f78af1dde72d4deb5e66ac38"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#a6357e932f78af1dde72d4deb5e66ac38">FP_ANSSI_reduce</a> (<a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *x)</td></tr>
<tr class="memdesc:a6357e932f78af1dde72d4deb5e66ac38"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces possibly unreduced FP mod Modulus. <a href="#a6357e932f78af1dde72d4deb5e66ac38">More...</a><br /></td></tr>
<tr class="separator:a6357e932f78af1dde72d4deb5e66ac38"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a32aa45e10d3dac7bec6f59f38f62a2a1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#a32aa45e10d3dac7bec6f59f38f62a2a1">FP_ANSSI_norm</a> (<a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *x)</td></tr>
<tr class="memdesc:a32aa45e10d3dac7bec6f59f38f62a2a1"><td class="mdescLeft">&#160;</td><td class="mdescRight">normalizes FP <a href="#a32aa45e10d3dac7bec6f59f38f62a2a1">More...</a><br /></td></tr>
<tr class="separator:a32aa45e10d3dac7bec6f59f38f62a2a1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afd25ed074803aa878b6685b50b79a7d2"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#afd25ed074803aa878b6685b50b79a7d2">FP_ANSSI_qr</a> (<a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *x)</td></tr>
<tr class="memdesc:afd25ed074803aa878b6685b50b79a7d2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP a quadratic residue mod Modulus. <a href="#afd25ed074803aa878b6685b50b79a7d2">More...</a><br /></td></tr>
<tr class="separator:afd25ed074803aa878b6685b50b79a7d2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a37296665deee56dc7ac0f0a9e208a7a4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#a37296665deee56dc7ac0f0a9e208a7a4">FP_ANSSI_inv</a> (<a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *x, <a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *y)</td></tr>
<tr class="memdesc:a37296665deee56dc7ac0f0a9e208a7a4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular inverse of a an FP, mod Modulus. <a href="#a37296665deee56dc7ac0f0a9e208a7a4">More...</a><br /></td></tr>
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</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
Variables</h2></td></tr>
<tr class="memitem:a20100083d8460006bf65f44439812bc6"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#a20100083d8460006bf65f44439812bc6">Modulus_ANSSI</a></td></tr>
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<tr class="memitem:aa3a7f9f19e0b2748e3ba7541c3a413e6"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#aa3a7f9f19e0b2748e3ba7541c3a413e6">R2modp_ANSSI</a></td></tr>
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<tr class="memitem:a784f1d85d9b10e5fc16410b56f69a334"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__ANSSI_8h.html#a784f1d85d9b10e5fc16410b56f69a334">MConst_ANSSI</a></td></tr>
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</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="a06ff48f2852204de608729a4dbe35cfe"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a06ff48f2852204de608729a4dbe35cfe">&#9670;&nbsp;</a></span>FEXCESS_ANSSI</h2>
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<td class="memname">#define FEXCESS_ANSSI&#160;&#160;&#160;(((<a class="el" href="arch_8h.html#af31fcb3b74c4bcf6507f62d801277492">sign32</a>)1&lt;&lt;MAXXES_ANSSI)-1)</td>
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<p>2^(BASEBITS*NLEN-MODBITS)-1 - normalised BIG can be multiplied by less than this before reduction </p>
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<a id="afba210343184c29ef2c2b998cd25e8d2"></a>
<h2 class="memtitle"><span class="permalink"><a href="#afba210343184c29ef2c2b998cd25e8d2">&#9670;&nbsp;</a></span>MODBITS_ANSSI</h2>
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<td class="memname">#define MODBITS_ANSSI&#160;&#160;&#160;MBITS_ANSSI</td>
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<p>Number of bits in Modulus for selected curve </p>
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<a id="afe3ed618a3933bca5137ce5d66609fe8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#afe3ed618a3933bca5137ce5d66609fe8">&#9670;&nbsp;</a></span>OMASK_ANSSI</h2>
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<td class="memname">#define OMASK_ANSSI&#160;&#160;&#160;(-((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)(1)&lt;&lt;<a class="el" href="fp__ANSSI_8h.html#a58d80fd5ad08321998e9e67a5de68ef5">TBITS_ANSSI</a>))</td>
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<p>for masking out overflow bits </p>
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<a id="a58d80fd5ad08321998e9e67a5de68ef5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a58d80fd5ad08321998e9e67a5de68ef5">&#9670;&nbsp;</a></span>TBITS_ANSSI</h2>
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<td class="memname">#define TBITS_ANSSI&#160;&#160;&#160;(MBITS_ANSSI%<a class="el" href="config__big__256__56_8h.html#ac6cb0299279eb5c9a07bccfd297f1b40">BASEBITS_256_56</a>)</td>
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<p>Number of active bits in top word </p>
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<a id="ab7b26983c94ec98398de24a43094b5ba"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab7b26983c94ec98398de24a43094b5ba">&#9670;&nbsp;</a></span>TMASK_ANSSI</h2>
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<td class="memname">#define TMASK_ANSSI&#160;&#160;&#160;(((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)1&lt;&lt;<a class="el" href="fp__ANSSI_8h.html#a58d80fd5ad08321998e9e67a5de68ef5">TBITS_ANSSI</a>)-1)</td>
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<p>Mask for active bits in top word </p>
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<h2 class="groupheader">Function Documentation</h2>
<a id="a742d808914bd1246c3df7f2dadeb4fae"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a742d808914bd1246c3df7f2dadeb4fae">&#9670;&nbsp;</a></span>FP_ANSSI_add()</h2>
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<td class="memname">void FP_ANSSI_add </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *&#160;</td>
<td class="paramname"><em>z</em>&#160;</td>
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<td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP number, on exit the modular sum = y+z mod Modulus </td></tr>
<tr><td class="paramname">y</td><td>FP number </td></tr>
<tr><td class="paramname">z</td><td>FP number </td></tr>
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</dd>
</dl>
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<a id="ad1cea73daa5a32fdab88484402d42880"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad1cea73daa5a32fdab88484402d42880">&#9670;&nbsp;</a></span>FP_ANSSI_cmove()</h2>
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<td class="memname">void FP_ANSSI_cmove </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</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="structFP__ANSSI.html">FP_ANSSI</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>s</em>&#160;</td>
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<td>)</td>
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<p>Conditionally copies second parameter to the first (without branching) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>an FP number </td></tr>
<tr><td class="paramname">y</td><td>another FP number </td></tr>
<tr><td class="paramname">s</td><td>copy takes place if not equal to 0 </td></tr>
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</dd>
</dl>
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<a id="ad410a4fc5aff6e9b09c844e8dd3a11ed"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad410a4fc5aff6e9b09c844e8dd3a11ed">&#9670;&nbsp;</a></span>FP_ANSSI_copy()</h2>
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<td class="memname">void FP_ANSSI_copy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</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="structFP__ANSSI.html">FP_ANSSI</a> *&#160;</td>
<td class="paramname"><em>x</em>&#160;</td>
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<tr>
<td></td>
<td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">y</td><td>FP number to be copied to </td></tr>
<tr><td class="paramname">x</td><td>FP to be copied from </td></tr>
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</dd>
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<a id="a32ae24359781c3de809dd9eb98ce88c2"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a32ae24359781c3de809dd9eb98ce88c2">&#9670;&nbsp;</a></span>FP_ANSSI_cswap()</h2>
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<td class="memname">void FP_ANSSI_cswap </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</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="structFP__ANSSI.html">FP_ANSSI</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>s</em>&#160;</td>
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<td>)</td>
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<p>Conditionally swaps parameters in constant time (without branching) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>an FP number </td></tr>
<tr><td class="paramname">y</td><td>another FP number </td></tr>
<tr><td class="paramname">s</td><td>swap takes place if not equal to 0 </td></tr>
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</dd>
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<a id="a77f8b5dba8b64895fa19b2ef42a9ece5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a77f8b5dba8b64895fa19b2ef42a9ece5">&#9670;&nbsp;</a></span>FP_ANSSI_div2()</h2>
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<td class="memname">void FP_ANSSI_div2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</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="structFP__ANSSI.html">FP_ANSSI</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
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<td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP number, on exit =y/2 mod Modulus </td></tr>
<tr><td class="paramname">y</td><td>FP number </td></tr>
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</dd>
</dl>
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<a id="a0d63be7ac02a110d22b65e99ac923833"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0d63be7ac02a110d22b65e99ac923833">&#9670;&nbsp;</a></span>FP_ANSSI_equals()</h2>
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<td class="memname">int FP_ANSSI_equals </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td></td>
<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
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<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>FP number </td></tr>
<tr><td class="paramname">y</td><td>FP number </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 if equal, else returns 0 </dd></dl>
</div>
</div>
<a id="a93623015d083bc4760c6601ce3bf3ac8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a93623015d083bc4760c6601ce3bf3ac8">&#9670;&nbsp;</a></span>FP_ANSSI_imul()</h2>
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<td class="memname">void FP_ANSSI_imul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</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="structFP__ANSSI.html">FP_ANSSI</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>i</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>FP number, on exit the modular product = y*i mod Modulus </td></tr>
<tr><td class="paramname">y</td><td>FP number, the multiplicand </td></tr>
<tr><td class="paramname">i</td><td>a small number, the multiplier </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a37296665deee56dc7ac0f0a9e208a7a4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a37296665deee56dc7ac0f0a9e208a7a4">&#9670;&nbsp;</a></span>FP_ANSSI_inv()</h2>
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<td class="memname">void FP_ANSSI_inv </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</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="structFP__ANSSI.html">FP_ANSSI</a> *&#160;</td>
<td class="paramname"><em>y</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>FP number, on exit = 1/y mod Modulus </td></tr>
<tr><td class="paramname">y</td><td>FP number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a6b386af045a130775ea0c6181648a82a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6b386af045a130775ea0c6181648a82a">&#9670;&nbsp;</a></span>FP_ANSSI_iszilch()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">int FP_ANSSI_iszilch </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</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>BIG number to be tested </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="a48b254b07f325dec1f49abf5fa9da663"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a48b254b07f325dec1f49abf5fa9da663">&#9670;&nbsp;</a></span>FP_ANSSI_mod()</h2>
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<div class="memproto">
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<td class="memname">void FP_ANSSI_mod </td>
<td>(</td>
<td class="paramtype"><a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</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__256__56_8h.html#a6183570cd770f0ce6be0d94a42ee465a">DBIG_256_56</a>&#160;</td>
<td class="paramname"><em>d</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>This function comes in different flavours depending on the form of Modulus that is currently in use. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>BIG number, on exit = d mod Modulus </td></tr>
<tr><td class="paramname">d</td><td>DBIG number to be reduced </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a3ebfa6f7ea8ca7f30e8b40c18e0096b7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3ebfa6f7ea8ca7f30e8b40c18e0096b7">&#9670;&nbsp;</a></span>FP_ANSSI_mul()</h2>
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<td class="memname">void FP_ANSSI_mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</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="structFP__ANSSI.html">FP_ANSSI</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="structFP__ANSSI.html">FP_ANSSI</a> *&#160;</td>
<td class="paramname"><em>z</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Uses appropriate fast modular reduction method </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP number, on exit the modular product = y*z mod Modulus </td></tr>
<tr><td class="paramname">y</td><td>FP number, the multiplicand </td></tr>
<tr><td class="paramname">z</td><td>FP number, the multiplier </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a735f2e1fedae7c7093c12b9ce8aac131"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a735f2e1fedae7c7093c12b9ce8aac131">&#9670;&nbsp;</a></span>FP_ANSSI_neg()</h2>
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<td class="memname">void FP_ANSSI_neg </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</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="structFP__ANSSI.html">FP_ANSSI</a> *&#160;</td>
<td class="paramname"><em>y</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>FP number, on exit = -y mod Modulus </td></tr>
<tr><td class="paramname">y</td><td>FP number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a32aa45e10d3dac7bec6f59f38f62a2a1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a32aa45e10d3dac7bec6f59f38f62a2a1">&#9670;&nbsp;</a></span>FP_ANSSI_norm()</h2>
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<td class="memname">void FP_ANSSI_norm </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</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>FP number, on exit normalized </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a6258434e8058840dcf4cb468a9ba16fb"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6258434e8058840dcf4cb468a9ba16fb">&#9670;&nbsp;</a></span>FP_ANSSI_nres()</h2>
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<td class="memname">void FP_ANSSI_nres </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</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__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td>
<td class="paramname"><em>x</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>BIG number to be converted </td></tr>
<tr><td class="paramname">y</td><td>FP result </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="aa32d2eebe2e1c0b1ebb4e76ec3fe1d90"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa32d2eebe2e1c0b1ebb4e76ec3fe1d90">&#9670;&nbsp;</a></span>FP_ANSSI_one()</h2>
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<td class="memname">void FP_ANSSI_one </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</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>FP number to be set equal to unity. </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a8c8324c23374dbf3408917e0f74bc23a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8c8324c23374dbf3408917e0f74bc23a">&#9670;&nbsp;</a></span>FP_ANSSI_output()</h2>
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<td class="memname">void FP_ANSSI_output </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Converts from residue form before output </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>an FP number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a72a49a8dcf42a8028021d0d0899bbd62"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a72a49a8dcf42a8028021d0d0899bbd62">&#9670;&nbsp;</a></span>FP_ANSSI_pow()</h2>
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<td class="memname">void FP_ANSSI_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</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="structFP__ANSSI.html">FP_ANSSI</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__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td>
<td class="paramname"><em>z</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>FP number, on exit = y^z mod Modulus </td></tr>
<tr><td class="paramname">y</td><td>FP number </td></tr>
<tr><td class="paramname">z</td><td>BIG number exponent </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="afd25ed074803aa878b6685b50b79a7d2"></a>
<h2 class="memtitle"><span class="permalink"><a href="#afd25ed074803aa878b6685b50b79a7d2">&#9670;&nbsp;</a></span>FP_ANSSI_qr()</h2>
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<div class="memproto">
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<td class="memname">int FP_ANSSI_qr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</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>FP number to be tested </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 if quadratic residue, else returns 0 if quadratic non-residue </dd></dl>
</div>
</div>
<a id="accb7d97f18436d3bc45986ce68c8e8b2"></a>
<h2 class="memtitle"><span class="permalink"><a href="#accb7d97f18436d3bc45986ce68c8e8b2">&#9670;&nbsp;</a></span>FP_ANSSI_rawoutput()</h2>
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<td class="memname">void FP_ANSSI_rawoutput </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</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>a BIG number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a66f77b203d293308aba494aec3de866a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a66f77b203d293308aba494aec3de866a">&#9670;&nbsp;</a></span>FP_ANSSI_rcopy()</h2>
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<td class="memname">void FP_ANSSI_rcopy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td>
<td class="paramname"><em>x</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">y</td><td>FP number to be copied to </td></tr>
<tr><td class="paramname">x</td><td>BIG to be copied from ROM </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a840475c7e755dbf7aec27d83cb94dbe0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a840475c7e755dbf7aec27d83cb94dbe0">&#9670;&nbsp;</a></span>FP_ANSSI_redc()</h2>
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<td class="memname">void FP_ANSSI_redc </td>
<td>(</td>
<td class="paramtype"><a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</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="structFP__ANSSI.html">FP_ANSSI</a> *&#160;</td>
<td class="paramname"><em>y</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">y</td><td>FP number to be converted to BIG </td></tr>
<tr><td class="paramname">x</td><td>BIG result </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a6357e932f78af1dde72d4deb5e66ac38"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6357e932f78af1dde72d4deb5e66ac38">&#9670;&nbsp;</a></span>FP_ANSSI_reduce()</h2>
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<td class="memname">void FP_ANSSI_reduce </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</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>FP number, on exit reduced mod Modulus </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="abda11b70b4dc234f18c1831e58cdb40c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abda11b70b4dc234f18c1831e58cdb40c">&#9670;&nbsp;</a></span>FP_ANSSI_sqr()</h2>
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<td class="memname">void FP_ANSSI_sqr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</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="structFP__ANSSI.html">FP_ANSSI</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Uses appropriate fast modular reduction method </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP number, on exit the modular product = y^2 mod Modulus </td></tr>
<tr><td class="paramname">y</td><td>FP number, the number to be squared </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a65e5915c907213b689d98a7db8dd9647"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a65e5915c907213b689d98a7db8dd9647">&#9670;&nbsp;</a></span>FP_ANSSI_sqrt()</h2>
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<td class="memname">void FP_ANSSI_sqrt </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</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="structFP__ANSSI.html">FP_ANSSI</a> *&#160;</td>
<td class="paramname"><em>y</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>FP number, on exit = sqrt(y) mod Modulus </td></tr>
<tr><td class="paramname">y</td><td>FP number, the number whose square root is calculated </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a3527da636b2e2a5ed46e22f9ad97921b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3527da636b2e2a5ed46e22f9ad97921b">&#9670;&nbsp;</a></span>FP_ANSSI_sub()</h2>
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<td class="memname">void FP_ANSSI_sub </td>
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<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *&#160;</td>
<td class="paramname"><em>z</em>&#160;</td>
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<td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">x</td><td>FP number, on exit the modular difference = y-z mod Modulus </td></tr>
<tr><td class="paramname">y</td><td>FP number </td></tr>
<tr><td class="paramname">z</td><td>FP number </td></tr>
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<h2 class="memtitle"><span class="permalink"><a href="#a3503c756e1882f4e5e24620348b8e7de">&#9670;&nbsp;</a></span>FP_ANSSI_zero()</h2>
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<td class="memname">void FP_ANSSI_zero </td>
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<td class="paramtype"><a class="el" href="structFP__ANSSI.html">FP_ANSSI</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">x</td><td>FP number to be set to 0 </td></tr>
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<h2 class="groupheader">Variable Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a784f1d85d9b10e5fc16410b56f69a334">&#9670;&nbsp;</a></span>MConst_ANSSI</h2>
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<td class="memname">const <a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a> MConst_ANSSI</td>
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<p>Constant associated with Modulus - for Montgomery = 1/p mod 2^BASEBITS </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a20100083d8460006bf65f44439812bc6">&#9670;&nbsp;</a></span>Modulus_ANSSI</h2>
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<td class="memname">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> Modulus_ANSSI</td>
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<p>Actual Modulus set in romf_yyy.c </p>
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<h2 class="memtitle"><span class="permalink"><a href="#aa3a7f9f19e0b2748e3ba7541c3a413e6">&#9670;&nbsp;</a></span>R2modp_ANSSI</h2>
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<td class="memname">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> R2modp_ANSSI</td>
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<p>Montgomery constant </p>
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