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<a href="#nested-classes">Data Structures</a> &#124;
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<div class="title">fp_NIST521.h File Reference</div> </div>
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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__528__60_8h_source.html">big_528_60.h</a>&quot;</code><br />
<code>#include &quot;config_field_NIST521.h&quot;</code><br />
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<p><a href="fp__NIST521_8h_source.html">Go to the source code of this file.</a></p>
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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__NIST521.html">FP_NIST521</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">FP Structure - quadratic extension field. <a href="structFP__NIST521.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:a632d31215148d03899762d8a7f81c808"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#a632d31215148d03899762d8a7f81c808">MODBITS_NIST521</a>&#160;&#160;&#160;MBITS_NIST521</td></tr>
<tr class="separator:a632d31215148d03899762d8a7f81c808"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac31b1dbca9c4513d5bc06397459b5fdd"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#ac31b1dbca9c4513d5bc06397459b5fdd">TBITS_NIST521</a>&#160;&#160;&#160;(MBITS_NIST521%<a class="el" href="config__big__528__60_8h.html#a91a5c5bbb41eb7c762fe1037781fd0ad">BASEBITS_528_60</a>)</td></tr>
<tr class="separator:ac31b1dbca9c4513d5bc06397459b5fdd"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aff954cbc154e1436d25941535a030dad"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#aff954cbc154e1436d25941535a030dad">TMASK_NIST521</a>&#160;&#160;&#160;(((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)1&lt;&lt;<a class="el" href="fp__NIST521_8h.html#ac31b1dbca9c4513d5bc06397459b5fdd">TBITS_NIST521</a>)-1)</td></tr>
<tr class="separator:aff954cbc154e1436d25941535a030dad"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a92000b2cda458492152fb63f9e468d9c"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#a92000b2cda458492152fb63f9e468d9c">FEXCESS_NIST521</a>&#160;&#160;&#160;(((<a class="el" href="arch_8h.html#af31fcb3b74c4bcf6507f62d801277492">sign32</a>)1&lt;&lt;MAXXES_NIST521)-1)</td></tr>
<tr class="separator:a92000b2cda458492152fb63f9e468d9c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a31752211fa548c9c301a337a6a86680b"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#a31752211fa548c9c301a337a6a86680b">OMASK_NIST521</a>&#160;&#160;&#160;(-((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)(1)&lt;&lt;<a class="el" href="fp__NIST521_8h.html#ac31b1dbca9c4513d5bc06397459b5fdd">TBITS_NIST521</a>))</td></tr>
<tr class="separator:a31752211fa548c9c301a337a6a86680b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:aa8918a6b92bba55510cc39a7d0af19b7"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#aa8918a6b92bba55510cc39a7d0af19b7">FP_NIST521_iszilch</a> (<a class="el" href="structFP__NIST521.html">FP_NIST521</a> *x)</td></tr>
<tr class="memdesc:aa8918a6b92bba55510cc39a7d0af19b7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP equal to zero mod Modulus. <a href="#aa8918a6b92bba55510cc39a7d0af19b7">More...</a><br /></td></tr>
<tr class="separator:aa8918a6b92bba55510cc39a7d0af19b7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a05207c9bfe8570a08e8287e0f0fefadf"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#a05207c9bfe8570a08e8287e0f0fefadf">FP_NIST521_zero</a> (<a class="el" href="structFP__NIST521.html">FP_NIST521</a> *x)</td></tr>
<tr class="memdesc:a05207c9bfe8570a08e8287e0f0fefadf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP to zero. <a href="#a05207c9bfe8570a08e8287e0f0fefadf">More...</a><br /></td></tr>
<tr class="separator:a05207c9bfe8570a08e8287e0f0fefadf"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7cbfb0e2047bb12f12473ca4687be5a7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#a7cbfb0e2047bb12f12473ca4687be5a7">FP_NIST521_copy</a> (<a class="el" href="structFP__NIST521.html">FP_NIST521</a> *y, <a class="el" href="structFP__NIST521.html">FP_NIST521</a> *x)</td></tr>
<tr class="memdesc:a7cbfb0e2047bb12f12473ca4687be5a7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy an FP. <a href="#a7cbfb0e2047bb12f12473ca4687be5a7">More...</a><br /></td></tr>
<tr class="separator:a7cbfb0e2047bb12f12473ca4687be5a7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a31d66c83ab1e4db3c429980112519e27"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#a31d66c83ab1e4db3c429980112519e27">FP_NIST521_rcopy</a> (<a class="el" href="structFP__NIST521.html">FP_NIST521</a> *y, const <a class="el" href="big__528__60_8h.html#a8354e859d13f81a1282d413ad9a00f45">BIG_528_60</a> x)</td></tr>
<tr class="memdesc:a31d66c83ab1e4db3c429980112519e27"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy from ROM to an FP. <a href="#a31d66c83ab1e4db3c429980112519e27">More...</a><br /></td></tr>
<tr class="separator:a31d66c83ab1e4db3c429980112519e27"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:acb035390bd014d26bb5b9638a1cb7d7f"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#acb035390bd014d26bb5b9638a1cb7d7f">FP_NIST521_equals</a> (<a class="el" href="structFP__NIST521.html">FP_NIST521</a> *x, <a class="el" href="structFP__NIST521.html">FP_NIST521</a> *y)</td></tr>
<tr class="memdesc:acb035390bd014d26bb5b9638a1cb7d7f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compares two FPs. <a href="#acb035390bd014d26bb5b9638a1cb7d7f">More...</a><br /></td></tr>
<tr class="separator:acb035390bd014d26bb5b9638a1cb7d7f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a98fd8ae16a20cbd8153fe3ef2b80a918"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#a98fd8ae16a20cbd8153fe3ef2b80a918">FP_NIST521_cswap</a> (<a class="el" href="structFP__NIST521.html">FP_NIST521</a> *x, <a class="el" href="structFP__NIST521.html">FP_NIST521</a> *y, int s)</td></tr>
<tr class="memdesc:a98fd8ae16a20cbd8153fe3ef2b80a918"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional constant time swap of two FP numbers. <a href="#a98fd8ae16a20cbd8153fe3ef2b80a918">More...</a><br /></td></tr>
<tr class="separator:a98fd8ae16a20cbd8153fe3ef2b80a918"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7001d051e5e7393090aed705b6025760"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#a7001d051e5e7393090aed705b6025760">FP_NIST521_cmove</a> (<a class="el" href="structFP__NIST521.html">FP_NIST521</a> *x, <a class="el" href="structFP__NIST521.html">FP_NIST521</a> *y, int s)</td></tr>
<tr class="memdesc:a7001d051e5e7393090aed705b6025760"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional copy of FP number. <a href="#a7001d051e5e7393090aed705b6025760">More...</a><br /></td></tr>
<tr class="separator:a7001d051e5e7393090aed705b6025760"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2a92638170fb9e378d7341b43f062eaa"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#a2a92638170fb9e378d7341b43f062eaa">FP_NIST521_nres</a> (<a class="el" href="structFP__NIST521.html">FP_NIST521</a> *y, <a class="el" href="big__528__60_8h.html#a8354e859d13f81a1282d413ad9a00f45">BIG_528_60</a> x)</td></tr>
<tr class="memdesc:a2a92638170fb9e378d7341b43f062eaa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts from BIG integer to residue form mod Modulus. <a href="#a2a92638170fb9e378d7341b43f062eaa">More...</a><br /></td></tr>
<tr class="separator:a2a92638170fb9e378d7341b43f062eaa"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac903d43529d7b29dfce64082c7c94e54"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#ac903d43529d7b29dfce64082c7c94e54">FP_NIST521_redc</a> (<a class="el" href="big__528__60_8h.html#a8354e859d13f81a1282d413ad9a00f45">BIG_528_60</a> x, <a class="el" href="structFP__NIST521.html">FP_NIST521</a> *y)</td></tr>
<tr class="memdesc:ac903d43529d7b29dfce64082c7c94e54"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts from residue form back to BIG integer form. <a href="#ac903d43529d7b29dfce64082c7c94e54">More...</a><br /></td></tr>
<tr class="separator:ac903d43529d7b29dfce64082c7c94e54"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a41b54e0c55bc2fd89b2dc263cb74a778"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#a41b54e0c55bc2fd89b2dc263cb74a778">FP_NIST521_one</a> (<a class="el" href="structFP__NIST521.html">FP_NIST521</a> *x)</td></tr>
<tr class="memdesc:a41b54e0c55bc2fd89b2dc263cb74a778"><td class="mdescLeft">&#160;</td><td class="mdescRight">Sets FP to representation of unity in residue form. <a href="#a41b54e0c55bc2fd89b2dc263cb74a778">More...</a><br /></td></tr>
<tr class="separator:a41b54e0c55bc2fd89b2dc263cb74a778"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad183c728c6c05f3cf8bf598a73cfc537"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#ad183c728c6c05f3cf8bf598a73cfc537">FP_NIST521_mod</a> (<a class="el" href="big__528__60_8h.html#a8354e859d13f81a1282d413ad9a00f45">BIG_528_60</a> r, <a class="el" href="big__528__60_8h.html#a098a5686344d9db2f135c845fc9c83c0">DBIG_528_60</a> d)</td></tr>
<tr class="memdesc:ad183c728c6c05f3cf8bf598a73cfc537"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces DBIG to BIG exploiting special form of the modulus. <a href="#ad183c728c6c05f3cf8bf598a73cfc537">More...</a><br /></td></tr>
<tr class="separator:ad183c728c6c05f3cf8bf598a73cfc537"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a54d28fa763c23f35c8d37b7596cd8933"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#a54d28fa763c23f35c8d37b7596cd8933">FP_NIST521_mul</a> (<a class="el" href="structFP__NIST521.html">FP_NIST521</a> *x, <a class="el" href="structFP__NIST521.html">FP_NIST521</a> *y, <a class="el" href="structFP__NIST521.html">FP_NIST521</a> *z)</td></tr>
<tr class="memdesc:a54d28fa763c23f35c8d37b7596cd8933"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular multiplication of two FPs, mod Modulus. <a href="#a54d28fa763c23f35c8d37b7596cd8933">More...</a><br /></td></tr>
<tr class="separator:a54d28fa763c23f35c8d37b7596cd8933"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac4f59fd2d08c8625eacd85bfc6916aab"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#ac4f59fd2d08c8625eacd85bfc6916aab">FP_NIST521_imul</a> (<a class="el" href="structFP__NIST521.html">FP_NIST521</a> *x, <a class="el" href="structFP__NIST521.html">FP_NIST521</a> *y, int i)</td></tr>
<tr class="memdesc:ac4f59fd2d08c8625eacd85bfc6916aab"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular multiplication of an FP, by a small integer, mod Modulus. <a href="#ac4f59fd2d08c8625eacd85bfc6916aab">More...</a><br /></td></tr>
<tr class="separator:ac4f59fd2d08c8625eacd85bfc6916aab"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a99346f962acddcf55c37268214dc9a2e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#a99346f962acddcf55c37268214dc9a2e">FP_NIST521_sqr</a> (<a class="el" href="structFP__NIST521.html">FP_NIST521</a> *x, <a class="el" href="structFP__NIST521.html">FP_NIST521</a> *y)</td></tr>
<tr class="memdesc:a99346f962acddcf55c37268214dc9a2e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular squaring of an FP, mod Modulus. <a href="#a99346f962acddcf55c37268214dc9a2e">More...</a><br /></td></tr>
<tr class="separator:a99346f962acddcf55c37268214dc9a2e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7ee7fa092ac8bfa1fb7105239e3fa7a8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#a7ee7fa092ac8bfa1fb7105239e3fa7a8">FP_NIST521_add</a> (<a class="el" href="structFP__NIST521.html">FP_NIST521</a> *x, <a class="el" href="structFP__NIST521.html">FP_NIST521</a> *y, <a class="el" href="structFP__NIST521.html">FP_NIST521</a> *z)</td></tr>
<tr class="memdesc:a7ee7fa092ac8bfa1fb7105239e3fa7a8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular addition of two FPs, mod Modulus. <a href="#a7ee7fa092ac8bfa1fb7105239e3fa7a8">More...</a><br /></td></tr>
<tr class="separator:a7ee7fa092ac8bfa1fb7105239e3fa7a8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aaad6f8fd4ba53e5c67f46fd895e8d8bd"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#aaad6f8fd4ba53e5c67f46fd895e8d8bd">FP_NIST521_sub</a> (<a class="el" href="structFP__NIST521.html">FP_NIST521</a> *x, <a class="el" href="structFP__NIST521.html">FP_NIST521</a> *y, <a class="el" href="structFP__NIST521.html">FP_NIST521</a> *z)</td></tr>
<tr class="memdesc:aaad6f8fd4ba53e5c67f46fd895e8d8bd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular subtraction of two FPs, mod Modulus. <a href="#aaad6f8fd4ba53e5c67f46fd895e8d8bd">More...</a><br /></td></tr>
<tr class="separator:aaad6f8fd4ba53e5c67f46fd895e8d8bd"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a663dae3defbbd5c058ca1cdfd1105720"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#a663dae3defbbd5c058ca1cdfd1105720">FP_NIST521_div2</a> (<a class="el" href="structFP__NIST521.html">FP_NIST521</a> *x, <a class="el" href="structFP__NIST521.html">FP_NIST521</a> *y)</td></tr>
<tr class="memdesc:a663dae3defbbd5c058ca1cdfd1105720"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular division by 2 of an FP, mod Modulus. <a href="#a663dae3defbbd5c058ca1cdfd1105720">More...</a><br /></td></tr>
<tr class="separator:a663dae3defbbd5c058ca1cdfd1105720"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4375308e9964322cd993809d8c5191bd"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#a4375308e9964322cd993809d8c5191bd">FP_NIST521_pow</a> (<a class="el" href="structFP__NIST521.html">FP_NIST521</a> *x, <a class="el" href="structFP__NIST521.html">FP_NIST521</a> *y, <a class="el" href="big__528__60_8h.html#a8354e859d13f81a1282d413ad9a00f45">BIG_528_60</a> z)</td></tr>
<tr class="memdesc:a4375308e9964322cd993809d8c5191bd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular exponentiation of an FP, to the power of a BIG, mod Modulus. <a href="#a4375308e9964322cd993809d8c5191bd">More...</a><br /></td></tr>
<tr class="separator:a4375308e9964322cd993809d8c5191bd"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8bc93e4302ce0be390de8444ad7b0306"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#a8bc93e4302ce0be390de8444ad7b0306">FP_NIST521_sqrt</a> (<a class="el" href="structFP__NIST521.html">FP_NIST521</a> *x, <a class="el" href="structFP__NIST521.html">FP_NIST521</a> *y)</td></tr>
<tr class="memdesc:a8bc93e4302ce0be390de8444ad7b0306"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular square root of a an FP, mod Modulus. <a href="#a8bc93e4302ce0be390de8444ad7b0306">More...</a><br /></td></tr>
<tr class="separator:a8bc93e4302ce0be390de8444ad7b0306"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a700c9f657c1c27b1617059dd6d1c3b61"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#a700c9f657c1c27b1617059dd6d1c3b61">FP_NIST521_neg</a> (<a class="el" href="structFP__NIST521.html">FP_NIST521</a> *x, <a class="el" href="structFP__NIST521.html">FP_NIST521</a> *y)</td></tr>
<tr class="memdesc:a700c9f657c1c27b1617059dd6d1c3b61"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular negation of a an FP, mod Modulus. <a href="#a700c9f657c1c27b1617059dd6d1c3b61">More...</a><br /></td></tr>
<tr class="separator:a700c9f657c1c27b1617059dd6d1c3b61"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1f85738f65d59076d699c46eab884f24"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#a1f85738f65d59076d699c46eab884f24">FP_NIST521_output</a> (<a class="el" href="structFP__NIST521.html">FP_NIST521</a> *x)</td></tr>
<tr class="memdesc:a1f85738f65d59076d699c46eab884f24"><td class="mdescLeft">&#160;</td><td class="mdescRight">Outputs an FP number to the console. <a href="#a1f85738f65d59076d699c46eab884f24">More...</a><br /></td></tr>
<tr class="separator:a1f85738f65d59076d699c46eab884f24"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ade6b2d91c96a2e4ec68033dc1d1109e4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#ade6b2d91c96a2e4ec68033dc1d1109e4">FP_NIST521_rawoutput</a> (<a class="el" href="structFP__NIST521.html">FP_NIST521</a> *x)</td></tr>
<tr class="memdesc:ade6b2d91c96a2e4ec68033dc1d1109e4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Outputs an FP number to the console, in raw form. <a href="#ade6b2d91c96a2e4ec68033dc1d1109e4">More...</a><br /></td></tr>
<tr class="separator:ade6b2d91c96a2e4ec68033dc1d1109e4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5096f25dc402baf4f8aa04ed5c50eb12"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#a5096f25dc402baf4f8aa04ed5c50eb12">FP_NIST521_reduce</a> (<a class="el" href="structFP__NIST521.html">FP_NIST521</a> *x)</td></tr>
<tr class="memdesc:a5096f25dc402baf4f8aa04ed5c50eb12"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces possibly unreduced FP mod Modulus. <a href="#a5096f25dc402baf4f8aa04ed5c50eb12">More...</a><br /></td></tr>
<tr class="separator:a5096f25dc402baf4f8aa04ed5c50eb12"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af900b13b6fa6ed5b64a91a7d0ffd0d4e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#af900b13b6fa6ed5b64a91a7d0ffd0d4e">FP_NIST521_norm</a> (<a class="el" href="structFP__NIST521.html">FP_NIST521</a> *x)</td></tr>
<tr class="memdesc:af900b13b6fa6ed5b64a91a7d0ffd0d4e"><td class="mdescLeft">&#160;</td><td class="mdescRight">normalizes FP <a href="#af900b13b6fa6ed5b64a91a7d0ffd0d4e">More...</a><br /></td></tr>
<tr class="separator:af900b13b6fa6ed5b64a91a7d0ffd0d4e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a28627f4939afaadd633cc123e4a54a0c"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#a28627f4939afaadd633cc123e4a54a0c">FP_NIST521_qr</a> (<a class="el" href="structFP__NIST521.html">FP_NIST521</a> *x)</td></tr>
<tr class="memdesc:a28627f4939afaadd633cc123e4a54a0c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP a quadratic residue mod Modulus. <a href="#a28627f4939afaadd633cc123e4a54a0c">More...</a><br /></td></tr>
<tr class="separator:a28627f4939afaadd633cc123e4a54a0c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7c15b75bdf262a9c55b9d208c5d25f72"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#a7c15b75bdf262a9c55b9d208c5d25f72">FP_NIST521_inv</a> (<a class="el" href="structFP__NIST521.html">FP_NIST521</a> *x, <a class="el" href="structFP__NIST521.html">FP_NIST521</a> *y)</td></tr>
<tr class="memdesc:a7c15b75bdf262a9c55b9d208c5d25f72"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular inverse of a an FP, mod Modulus. <a href="#a7c15b75bdf262a9c55b9d208c5d25f72">More...</a><br /></td></tr>
<tr class="separator:a7c15b75bdf262a9c55b9d208c5d25f72"><td class="memSeparator" colspan="2">&#160;</td></tr>
</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:af5cbfa91010d117a9fcb2fddad052c78"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__528__60_8h.html#a8354e859d13f81a1282d413ad9a00f45">BIG_528_60</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#af5cbfa91010d117a9fcb2fddad052c78">Modulus_NIST521</a></td></tr>
<tr class="separator:af5cbfa91010d117a9fcb2fddad052c78"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aed89b8527267a579cbda957673def206"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__528__60_8h.html#a8354e859d13f81a1282d413ad9a00f45">BIG_528_60</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__NIST521_8h.html#aed89b8527267a579cbda957673def206">R2modp_NIST521</a></td></tr>
<tr class="separator:aed89b8527267a579cbda957673def206"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afb5aed89a7f4aada574893f09b78444b"><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__NIST521_8h.html#afb5aed89a7f4aada574893f09b78444b">MConst_NIST521</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="a92000b2cda458492152fb63f9e468d9c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a92000b2cda458492152fb63f9e468d9c">&#9670;&nbsp;</a></span>FEXCESS_NIST521</h2>
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<td class="memname">#define FEXCESS_NIST521&#160;&#160;&#160;(((<a class="el" href="arch_8h.html#af31fcb3b74c4bcf6507f62d801277492">sign32</a>)1&lt;&lt;MAXXES_NIST521)-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="a632d31215148d03899762d8a7f81c808"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a632d31215148d03899762d8a7f81c808">&#9670;&nbsp;</a></span>MODBITS_NIST521</h2>
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<td class="memname">#define MODBITS_NIST521&#160;&#160;&#160;MBITS_NIST521</td>
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<p>Number of bits in Modulus for selected curve </p>
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<a id="a31752211fa548c9c301a337a6a86680b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a31752211fa548c9c301a337a6a86680b">&#9670;&nbsp;</a></span>OMASK_NIST521</h2>
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<td class="memname">#define OMASK_NIST521&#160;&#160;&#160;(-((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)(1)&lt;&lt;<a class="el" href="fp__NIST521_8h.html#ac31b1dbca9c4513d5bc06397459b5fdd">TBITS_NIST521</a>))</td>
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<p>for masking out overflow bits </p>
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<a id="ac31b1dbca9c4513d5bc06397459b5fdd"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac31b1dbca9c4513d5bc06397459b5fdd">&#9670;&nbsp;</a></span>TBITS_NIST521</h2>
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<td class="memname">#define TBITS_NIST521&#160;&#160;&#160;(MBITS_NIST521%<a class="el" href="config__big__528__60_8h.html#a91a5c5bbb41eb7c762fe1037781fd0ad">BASEBITS_528_60</a>)</td>
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<p>Number of active bits in top word </p>
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<a id="aff954cbc154e1436d25941535a030dad"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aff954cbc154e1436d25941535a030dad">&#9670;&nbsp;</a></span>TMASK_NIST521</h2>
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<td class="memname">#define TMASK_NIST521&#160;&#160;&#160;(((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)1&lt;&lt;<a class="el" href="fp__NIST521_8h.html#ac31b1dbca9c4513d5bc06397459b5fdd">TBITS_NIST521</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="a7ee7fa092ac8bfa1fb7105239e3fa7a8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7ee7fa092ac8bfa1fb7105239e3fa7a8">&#9670;&nbsp;</a></span>FP_NIST521_add()</h2>
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<td class="memname">void FP_NIST521_add </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</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__NIST521.html">FP_NIST521</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__NIST521.html">FP_NIST521</a> *&#160;</td>
<td class="paramname"><em>z</em>&#160;</td>
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<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>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>
</table>
</dd>
</dl>
</div>
</div>
<a id="a7001d051e5e7393090aed705b6025760"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7001d051e5e7393090aed705b6025760">&#9670;&nbsp;</a></span>FP_NIST521_cmove()</h2>
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<td class="memname">void FP_NIST521_cmove </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</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__NIST521.html">FP_NIST521</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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<tr>
<td></td>
<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>
</table>
</dd>
</dl>
</div>
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<a id="a7cbfb0e2047bb12f12473ca4687be5a7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7cbfb0e2047bb12f12473ca4687be5a7">&#9670;&nbsp;</a></span>FP_NIST521_copy()</h2>
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<td class="memname">void FP_NIST521_copy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</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__NIST521.html">FP_NIST521</a> *&#160;</td>
<td class="paramname"><em>x</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">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>
</table>
</dd>
</dl>
</div>
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<a id="a98fd8ae16a20cbd8153fe3ef2b80a918"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a98fd8ae16a20cbd8153fe3ef2b80a918">&#9670;&nbsp;</a></span>FP_NIST521_cswap()</h2>
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<td class="memname">void FP_NIST521_cswap </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</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__NIST521.html">FP_NIST521</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>
<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>
</table>
</dd>
</dl>
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<a id="a663dae3defbbd5c058ca1cdfd1105720"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a663dae3defbbd5c058ca1cdfd1105720">&#9670;&nbsp;</a></span>FP_NIST521_div2()</h2>
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<td class="memname">void FP_NIST521_div2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</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__NIST521.html">FP_NIST521</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
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<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>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>
</div>
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<a id="acb035390bd014d26bb5b9638a1cb7d7f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#acb035390bd014d26bb5b9638a1cb7d7f">&#9670;&nbsp;</a></span>FP_NIST521_equals()</h2>
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<td class="memname">int FP_NIST521_equals </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</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__NIST521.html">FP_NIST521</a> *&#160;</td>
<td class="paramname"><em>y</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">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="ac4f59fd2d08c8625eacd85bfc6916aab"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac4f59fd2d08c8625eacd85bfc6916aab">&#9670;&nbsp;</a></span>FP_NIST521_imul()</h2>
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<td class="memname">void FP_NIST521_imul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</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__NIST521.html">FP_NIST521</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="a7c15b75bdf262a9c55b9d208c5d25f72"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7c15b75bdf262a9c55b9d208c5d25f72">&#9670;&nbsp;</a></span>FP_NIST521_inv()</h2>
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<div class="memproto">
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<td class="memname">void FP_NIST521_inv </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</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__NIST521.html">FP_NIST521</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="aa8918a6b92bba55510cc39a7d0af19b7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa8918a6b92bba55510cc39a7d0af19b7">&#9670;&nbsp;</a></span>FP_NIST521_iszilch()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP_NIST521_iszilch </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</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="ad183c728c6c05f3cf8bf598a73cfc537"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad183c728c6c05f3cf8bf598a73cfc537">&#9670;&nbsp;</a></span>FP_NIST521_mod()</h2>
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<div class="memproto">
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<td class="memname">void FP_NIST521_mod </td>
<td>(</td>
<td class="paramtype"><a class="el" href="big__528__60_8h.html#a8354e859d13f81a1282d413ad9a00f45">BIG_528_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__528__60_8h.html#a098a5686344d9db2f135c845fc9c83c0">DBIG_528_60</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="a54d28fa763c23f35c8d37b7596cd8933"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a54d28fa763c23f35c8d37b7596cd8933">&#9670;&nbsp;</a></span>FP_NIST521_mul()</h2>
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<div class="memproto">
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<td class="memname">void FP_NIST521_mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</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__NIST521.html">FP_NIST521</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__NIST521.html">FP_NIST521</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="a700c9f657c1c27b1617059dd6d1c3b61"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a700c9f657c1c27b1617059dd6d1c3b61">&#9670;&nbsp;</a></span>FP_NIST521_neg()</h2>
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<td class="memname">void FP_NIST521_neg </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</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__NIST521.html">FP_NIST521</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="af900b13b6fa6ed5b64a91a7d0ffd0d4e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af900b13b6fa6ed5b64a91a7d0ffd0d4e">&#9670;&nbsp;</a></span>FP_NIST521_norm()</h2>
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<div class="memproto">
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<td class="memname">void FP_NIST521_norm </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</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="a2a92638170fb9e378d7341b43f062eaa"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2a92638170fb9e378d7341b43f062eaa">&#9670;&nbsp;</a></span>FP_NIST521_nres()</h2>
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<td class="memname">void FP_NIST521_nres </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</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__528__60_8h.html#a8354e859d13f81a1282d413ad9a00f45">BIG_528_60</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="a41b54e0c55bc2fd89b2dc263cb74a778"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a41b54e0c55bc2fd89b2dc263cb74a778">&#9670;&nbsp;</a></span>FP_NIST521_one()</h2>
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<td class="memname">void FP_NIST521_one </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</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="a1f85738f65d59076d699c46eab884f24"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1f85738f65d59076d699c46eab884f24">&#9670;&nbsp;</a></span>FP_NIST521_output()</h2>
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<td class="memname">void FP_NIST521_output </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</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="a4375308e9964322cd993809d8c5191bd"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4375308e9964322cd993809d8c5191bd">&#9670;&nbsp;</a></span>FP_NIST521_pow()</h2>
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<td class="memname">void FP_NIST521_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</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__NIST521.html">FP_NIST521</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__528__60_8h.html#a8354e859d13f81a1282d413ad9a00f45">BIG_528_60</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="a28627f4939afaadd633cc123e4a54a0c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a28627f4939afaadd633cc123e4a54a0c">&#9670;&nbsp;</a></span>FP_NIST521_qr()</h2>
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<div class="memproto">
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<td class="memname">int FP_NIST521_qr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</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="ade6b2d91c96a2e4ec68033dc1d1109e4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ade6b2d91c96a2e4ec68033dc1d1109e4">&#9670;&nbsp;</a></span>FP_NIST521_rawoutput()</h2>
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<div class="memproto">
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<td class="memname">void FP_NIST521_rawoutput </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</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="a31d66c83ab1e4db3c429980112519e27"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a31d66c83ab1e4db3c429980112519e27">&#9670;&nbsp;</a></span>FP_NIST521_rcopy()</h2>
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<td class="memname">void FP_NIST521_rcopy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</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__528__60_8h.html#a8354e859d13f81a1282d413ad9a00f45">BIG_528_60</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="ac903d43529d7b29dfce64082c7c94e54"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac903d43529d7b29dfce64082c7c94e54">&#9670;&nbsp;</a></span>FP_NIST521_redc()</h2>
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<div class="memproto">
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<td class="memname">void FP_NIST521_redc </td>
<td>(</td>
<td class="paramtype"><a class="el" href="big__528__60_8h.html#a8354e859d13f81a1282d413ad9a00f45">BIG_528_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="structFP__NIST521.html">FP_NIST521</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="a5096f25dc402baf4f8aa04ed5c50eb12"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5096f25dc402baf4f8aa04ed5c50eb12">&#9670;&nbsp;</a></span>FP_NIST521_reduce()</h2>
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<td class="memname">void FP_NIST521_reduce </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</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="a99346f962acddcf55c37268214dc9a2e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a99346f962acddcf55c37268214dc9a2e">&#9670;&nbsp;</a></span>FP_NIST521_sqr()</h2>
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<td class="memname">void FP_NIST521_sqr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</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__NIST521.html">FP_NIST521</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="a8bc93e4302ce0be390de8444ad7b0306"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8bc93e4302ce0be390de8444ad7b0306">&#9670;&nbsp;</a></span>FP_NIST521_sqrt()</h2>
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<div class="memproto">
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<td class="memname">void FP_NIST521_sqrt </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</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__NIST521.html">FP_NIST521</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="aaad6f8fd4ba53e5c67f46fd895e8d8bd"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aaad6f8fd4ba53e5c67f46fd895e8d8bd">&#9670;&nbsp;</a></span>FP_NIST521_sub()</h2>
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<td class="memname">void FP_NIST521_sub </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</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="#a05207c9bfe8570a08e8287e0f0fefadf">&#9670;&nbsp;</a></span>FP_NIST521_zero()</h2>
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<td class="memname">void FP_NIST521_zero </td>
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<td class="paramtype"><a class="el" href="structFP__NIST521.html">FP_NIST521</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>
<a id="afb5aed89a7f4aada574893f09b78444b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#afb5aed89a7f4aada574893f09b78444b">&#9670;&nbsp;</a></span>MConst_NIST521</h2>
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<td class="memname">const <a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a> MConst_NIST521</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="#af5cbfa91010d117a9fcb2fddad052c78">&#9670;&nbsp;</a></span>Modulus_NIST521</h2>
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<td class="memname">const <a class="el" href="big__528__60_8h.html#a8354e859d13f81a1282d413ad9a00f45">BIG_528_60</a> Modulus_NIST521</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="#aed89b8527267a579cbda957673def206">&#9670;&nbsp;</a></span>R2modp_NIST521</h2>
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<td class="memname">const <a class="el" href="big__528__60_8h.html#a8354e859d13f81a1282d413ad9a00f45">BIG_528_60</a> R2modp_NIST521</td>
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<p>Montgomery constant </p>
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