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<a href="#nested-classes">Data Structures</a> &#124;
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<div class="title">fp_GOLDILOCKS.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__448__58_8h_source.html">big_448_58.h</a>&quot;</code><br />
<code>#include &quot;config_field_GOLDILOCKS.h&quot;</code><br />
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<p><a href="fp__GOLDILOCKS_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__GOLDILOCKS.html">FP_GOLDILOCKS</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">FP Structure - quadratic extension field. <a href="structFP__GOLDILOCKS.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:a75fda8826b012fb4eb1bd2fc2c0dc821"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#a75fda8826b012fb4eb1bd2fc2c0dc821">MODBITS_GOLDILOCKS</a>&#160;&#160;&#160;MBITS_GOLDILOCKS</td></tr>
<tr class="separator:a75fda8826b012fb4eb1bd2fc2c0dc821"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae3047f3248518e76180a304f2340867d"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#ae3047f3248518e76180a304f2340867d">TBITS_GOLDILOCKS</a>&#160;&#160;&#160;(MBITS_GOLDILOCKS%<a class="el" href="config__big__448__58_8h.html#a581ba04af6943deabd0dec7c49e96fc9">BASEBITS_448_58</a>)</td></tr>
<tr class="separator:ae3047f3248518e76180a304f2340867d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a898920156a5cbd4fd0de1538342f4af7"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#a898920156a5cbd4fd0de1538342f4af7">TMASK_GOLDILOCKS</a>&#160;&#160;&#160;(((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)1&lt;&lt;<a class="el" href="fp__GOLDILOCKS_8h.html#ae3047f3248518e76180a304f2340867d">TBITS_GOLDILOCKS</a>)-1)</td></tr>
<tr class="separator:a898920156a5cbd4fd0de1538342f4af7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abfe6057a33e222e13d2c297d4a1e26cf"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#abfe6057a33e222e13d2c297d4a1e26cf">FEXCESS_GOLDILOCKS</a>&#160;&#160;&#160;(((<a class="el" href="arch_8h.html#af31fcb3b74c4bcf6507f62d801277492">sign32</a>)1&lt;&lt;MAXXES_GOLDILOCKS)-1)</td></tr>
<tr class="separator:abfe6057a33e222e13d2c297d4a1e26cf"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac06414179c36d3bdfcb7eea5a587391b"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#ac06414179c36d3bdfcb7eea5a587391b">OMASK_GOLDILOCKS</a>&#160;&#160;&#160;(-((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)(1)&lt;&lt;<a class="el" href="fp__GOLDILOCKS_8h.html#ae3047f3248518e76180a304f2340867d">TBITS_GOLDILOCKS</a>))</td></tr>
<tr class="separator:ac06414179c36d3bdfcb7eea5a587391b"><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:ac1702e89247f0374730e1880455e7b9f"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#ac1702e89247f0374730e1880455e7b9f">FP_GOLDILOCKS_iszilch</a> (<a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *x)</td></tr>
<tr class="memdesc:ac1702e89247f0374730e1880455e7b9f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP equal to zero mod Modulus. <a href="#ac1702e89247f0374730e1880455e7b9f">More...</a><br /></td></tr>
<tr class="separator:ac1702e89247f0374730e1880455e7b9f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:acba9c084f6e7ffc172c2b9355b5576cf"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#acba9c084f6e7ffc172c2b9355b5576cf">FP_GOLDILOCKS_zero</a> (<a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *x)</td></tr>
<tr class="memdesc:acba9c084f6e7ffc172c2b9355b5576cf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP to zero. <a href="#acba9c084f6e7ffc172c2b9355b5576cf">More...</a><br /></td></tr>
<tr class="separator:acba9c084f6e7ffc172c2b9355b5576cf"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9071bab0fbc03ae4c533121303f30598"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#a9071bab0fbc03ae4c533121303f30598">FP_GOLDILOCKS_copy</a> (<a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *y, <a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *x)</td></tr>
<tr class="memdesc:a9071bab0fbc03ae4c533121303f30598"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy an FP. <a href="#a9071bab0fbc03ae4c533121303f30598">More...</a><br /></td></tr>
<tr class="separator:a9071bab0fbc03ae4c533121303f30598"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2e179daef730109ca85bf76f8486b8d1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#a2e179daef730109ca85bf76f8486b8d1">FP_GOLDILOCKS_rcopy</a> (<a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *y, const <a class="el" href="big__448__58_8h.html#a0ff733902d2a77fd164b5e6f7917da0e">BIG_448_58</a> x)</td></tr>
<tr class="memdesc:a2e179daef730109ca85bf76f8486b8d1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy from ROM to an FP. <a href="#a2e179daef730109ca85bf76f8486b8d1">More...</a><br /></td></tr>
<tr class="separator:a2e179daef730109ca85bf76f8486b8d1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab99472837cec07a66b51d2ca353a0696"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#ab99472837cec07a66b51d2ca353a0696">FP_GOLDILOCKS_equals</a> (<a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *x, <a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *y)</td></tr>
<tr class="memdesc:ab99472837cec07a66b51d2ca353a0696"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compares two FPs. <a href="#ab99472837cec07a66b51d2ca353a0696">More...</a><br /></td></tr>
<tr class="separator:ab99472837cec07a66b51d2ca353a0696"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aeeedbeca4956b7ad4a84236d9f84b5c3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#aeeedbeca4956b7ad4a84236d9f84b5c3">FP_GOLDILOCKS_cswap</a> (<a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *x, <a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *y, int s)</td></tr>
<tr class="memdesc:aeeedbeca4956b7ad4a84236d9f84b5c3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional constant time swap of two FP numbers. <a href="#aeeedbeca4956b7ad4a84236d9f84b5c3">More...</a><br /></td></tr>
<tr class="separator:aeeedbeca4956b7ad4a84236d9f84b5c3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:adb3de08575b0c5651eb71d7a1efb8f49"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#adb3de08575b0c5651eb71d7a1efb8f49">FP_GOLDILOCKS_cmove</a> (<a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *x, <a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *y, int s)</td></tr>
<tr class="memdesc:adb3de08575b0c5651eb71d7a1efb8f49"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional copy of FP number. <a href="#adb3de08575b0c5651eb71d7a1efb8f49">More...</a><br /></td></tr>
<tr class="separator:adb3de08575b0c5651eb71d7a1efb8f49"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa98531061c674cfd9598f0654ecd9aed"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#aa98531061c674cfd9598f0654ecd9aed">FP_GOLDILOCKS_nres</a> (<a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *y, <a class="el" href="big__448__58_8h.html#a0ff733902d2a77fd164b5e6f7917da0e">BIG_448_58</a> x)</td></tr>
<tr class="memdesc:aa98531061c674cfd9598f0654ecd9aed"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts from BIG integer to residue form mod Modulus. <a href="#aa98531061c674cfd9598f0654ecd9aed">More...</a><br /></td></tr>
<tr class="separator:aa98531061c674cfd9598f0654ecd9aed"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aea78dff7075bb92173c2cea506c31d93"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#aea78dff7075bb92173c2cea506c31d93">FP_GOLDILOCKS_redc</a> (<a class="el" href="big__448__58_8h.html#a0ff733902d2a77fd164b5e6f7917da0e">BIG_448_58</a> x, <a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *y)</td></tr>
<tr class="memdesc:aea78dff7075bb92173c2cea506c31d93"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts from residue form back to BIG integer form. <a href="#aea78dff7075bb92173c2cea506c31d93">More...</a><br /></td></tr>
<tr class="separator:aea78dff7075bb92173c2cea506c31d93"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad32084c345a9bbd4a32c73bbf20ea3d3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#ad32084c345a9bbd4a32c73bbf20ea3d3">FP_GOLDILOCKS_one</a> (<a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *x)</td></tr>
<tr class="memdesc:ad32084c345a9bbd4a32c73bbf20ea3d3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Sets FP to representation of unity in residue form. <a href="#ad32084c345a9bbd4a32c73bbf20ea3d3">More...</a><br /></td></tr>
<tr class="separator:ad32084c345a9bbd4a32c73bbf20ea3d3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2d282a445aba046d64104c548af43086"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#a2d282a445aba046d64104c548af43086">FP_GOLDILOCKS_mod</a> (<a class="el" href="big__448__58_8h.html#a0ff733902d2a77fd164b5e6f7917da0e">BIG_448_58</a> r, <a class="el" href="big__448__58_8h.html#a140b718636a1e8195708da4da45e9f32">DBIG_448_58</a> d)</td></tr>
<tr class="memdesc:a2d282a445aba046d64104c548af43086"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces DBIG to BIG exploiting special form of the modulus. <a href="#a2d282a445aba046d64104c548af43086">More...</a><br /></td></tr>
<tr class="separator:a2d282a445aba046d64104c548af43086"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a655fcc6de1bb209783901e7a8a4fc568"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#a655fcc6de1bb209783901e7a8a4fc568">FP_GOLDILOCKS_mul</a> (<a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *x, <a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *y, <a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *z)</td></tr>
<tr class="memdesc:a655fcc6de1bb209783901e7a8a4fc568"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular multiplication of two FPs, mod Modulus. <a href="#a655fcc6de1bb209783901e7a8a4fc568">More...</a><br /></td></tr>
<tr class="separator:a655fcc6de1bb209783901e7a8a4fc568"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:adffa9205f226962e5ab702520adb78d5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#adffa9205f226962e5ab702520adb78d5">FP_GOLDILOCKS_imul</a> (<a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *x, <a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *y, int i)</td></tr>
<tr class="memdesc:adffa9205f226962e5ab702520adb78d5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular multiplication of an FP, by a small integer, mod Modulus. <a href="#adffa9205f226962e5ab702520adb78d5">More...</a><br /></td></tr>
<tr class="separator:adffa9205f226962e5ab702520adb78d5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a36126d99f7b367a57a295f72593a4cc4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#a36126d99f7b367a57a295f72593a4cc4">FP_GOLDILOCKS_sqr</a> (<a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *x, <a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *y)</td></tr>
<tr class="memdesc:a36126d99f7b367a57a295f72593a4cc4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular squaring of an FP, mod Modulus. <a href="#a36126d99f7b367a57a295f72593a4cc4">More...</a><br /></td></tr>
<tr class="separator:a36126d99f7b367a57a295f72593a4cc4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1b308b595c7e259e2c54c05c2b880322"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#a1b308b595c7e259e2c54c05c2b880322">FP_GOLDILOCKS_add</a> (<a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *x, <a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *y, <a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *z)</td></tr>
<tr class="memdesc:a1b308b595c7e259e2c54c05c2b880322"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular addition of two FPs, mod Modulus. <a href="#a1b308b595c7e259e2c54c05c2b880322">More...</a><br /></td></tr>
<tr class="separator:a1b308b595c7e259e2c54c05c2b880322"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a43c45e3d4bd73b6afb44751258754dfc"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#a43c45e3d4bd73b6afb44751258754dfc">FP_GOLDILOCKS_sub</a> (<a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *x, <a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *y, <a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *z)</td></tr>
<tr class="memdesc:a43c45e3d4bd73b6afb44751258754dfc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular subtraction of two FPs, mod Modulus. <a href="#a43c45e3d4bd73b6afb44751258754dfc">More...</a><br /></td></tr>
<tr class="separator:a43c45e3d4bd73b6afb44751258754dfc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a78fd0d538ddbda49aabc3510907d6ef9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#a78fd0d538ddbda49aabc3510907d6ef9">FP_GOLDILOCKS_div2</a> (<a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *x, <a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *y)</td></tr>
<tr class="memdesc:a78fd0d538ddbda49aabc3510907d6ef9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular division by 2 of an FP, mod Modulus. <a href="#a78fd0d538ddbda49aabc3510907d6ef9">More...</a><br /></td></tr>
<tr class="separator:a78fd0d538ddbda49aabc3510907d6ef9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a08eed161de6dbebef3212c23943dc254"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#a08eed161de6dbebef3212c23943dc254">FP_GOLDILOCKS_pow</a> (<a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *x, <a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *y, <a class="el" href="big__448__58_8h.html#a0ff733902d2a77fd164b5e6f7917da0e">BIG_448_58</a> z)</td></tr>
<tr class="memdesc:a08eed161de6dbebef3212c23943dc254"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular exponentiation of an FP, to the power of a BIG, mod Modulus. <a href="#a08eed161de6dbebef3212c23943dc254">More...</a><br /></td></tr>
<tr class="separator:a08eed161de6dbebef3212c23943dc254"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:adec46b49a3f95ab3f0c545ac5d484353"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#adec46b49a3f95ab3f0c545ac5d484353">FP_GOLDILOCKS_sqrt</a> (<a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *x, <a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *y)</td></tr>
<tr class="memdesc:adec46b49a3f95ab3f0c545ac5d484353"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular square root of a an FP, mod Modulus. <a href="#adec46b49a3f95ab3f0c545ac5d484353">More...</a><br /></td></tr>
<tr class="separator:adec46b49a3f95ab3f0c545ac5d484353"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1e62224368c9248a6b1f371fe1967a7b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#a1e62224368c9248a6b1f371fe1967a7b">FP_GOLDILOCKS_neg</a> (<a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *x, <a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *y)</td></tr>
<tr class="memdesc:a1e62224368c9248a6b1f371fe1967a7b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular negation of a an FP, mod Modulus. <a href="#a1e62224368c9248a6b1f371fe1967a7b">More...</a><br /></td></tr>
<tr class="separator:a1e62224368c9248a6b1f371fe1967a7b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0f3fe25ccc4d83150095eb76134dcb30"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#a0f3fe25ccc4d83150095eb76134dcb30">FP_GOLDILOCKS_output</a> (<a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *x)</td></tr>
<tr class="memdesc:a0f3fe25ccc4d83150095eb76134dcb30"><td class="mdescLeft">&#160;</td><td class="mdescRight">Outputs an FP number to the console. <a href="#a0f3fe25ccc4d83150095eb76134dcb30">More...</a><br /></td></tr>
<tr class="separator:a0f3fe25ccc4d83150095eb76134dcb30"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af6b2e7200006daa9d1e84c90910d3f9e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#af6b2e7200006daa9d1e84c90910d3f9e">FP_GOLDILOCKS_rawoutput</a> (<a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *x)</td></tr>
<tr class="memdesc:af6b2e7200006daa9d1e84c90910d3f9e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Outputs an FP number to the console, in raw form. <a href="#af6b2e7200006daa9d1e84c90910d3f9e">More...</a><br /></td></tr>
<tr class="separator:af6b2e7200006daa9d1e84c90910d3f9e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad7aea7f0686f92f3352c3be3ac6ea7f6"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#ad7aea7f0686f92f3352c3be3ac6ea7f6">FP_GOLDILOCKS_reduce</a> (<a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *x)</td></tr>
<tr class="memdesc:ad7aea7f0686f92f3352c3be3ac6ea7f6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces possibly unreduced FP mod Modulus. <a href="#ad7aea7f0686f92f3352c3be3ac6ea7f6">More...</a><br /></td></tr>
<tr class="separator:ad7aea7f0686f92f3352c3be3ac6ea7f6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a62c067aab5bbc392b35f8d5a3b97919a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#a62c067aab5bbc392b35f8d5a3b97919a">FP_GOLDILOCKS_norm</a> (<a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *x)</td></tr>
<tr class="memdesc:a62c067aab5bbc392b35f8d5a3b97919a"><td class="mdescLeft">&#160;</td><td class="mdescRight">normalizes FP <a href="#a62c067aab5bbc392b35f8d5a3b97919a">More...</a><br /></td></tr>
<tr class="separator:a62c067aab5bbc392b35f8d5a3b97919a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afe231486e9005d97908401c5e0bb3e93"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#afe231486e9005d97908401c5e0bb3e93">FP_GOLDILOCKS_qr</a> (<a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *x)</td></tr>
<tr class="memdesc:afe231486e9005d97908401c5e0bb3e93"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP a quadratic residue mod Modulus. <a href="#afe231486e9005d97908401c5e0bb3e93">More...</a><br /></td></tr>
<tr class="separator:afe231486e9005d97908401c5e0bb3e93"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6e7008fbb451c17fc35629ab2a70ebbb"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#a6e7008fbb451c17fc35629ab2a70ebbb">FP_GOLDILOCKS_inv</a> (<a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *x, <a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *y)</td></tr>
<tr class="memdesc:a6e7008fbb451c17fc35629ab2a70ebbb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular inverse of a an FP, mod Modulus. <a href="#a6e7008fbb451c17fc35629ab2a70ebbb">More...</a><br /></td></tr>
<tr class="separator:a6e7008fbb451c17fc35629ab2a70ebbb"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
Variables</h2></td></tr>
<tr class="memitem:a8e71b3d4e440279204f0e1be84b87923"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__448__58_8h.html#a0ff733902d2a77fd164b5e6f7917da0e">BIG_448_58</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#a8e71b3d4e440279204f0e1be84b87923">Modulus_GOLDILOCKS</a></td></tr>
<tr class="separator:a8e71b3d4e440279204f0e1be84b87923"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a72051e56a23f4164b522f50a5fc10e1f"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__448__58_8h.html#a0ff733902d2a77fd164b5e6f7917da0e">BIG_448_58</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__GOLDILOCKS_8h.html#a72051e56a23f4164b522f50a5fc10e1f">R2modp_GOLDILOCKS</a></td></tr>
<tr class="separator:a72051e56a23f4164b522f50a5fc10e1f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa143044673e825f8efc4c2eb8d41330e"><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__GOLDILOCKS_8h.html#aa143044673e825f8efc4c2eb8d41330e">MConst_GOLDILOCKS</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="abfe6057a33e222e13d2c297d4a1e26cf"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abfe6057a33e222e13d2c297d4a1e26cf">&#9670;&nbsp;</a></span>FEXCESS_GOLDILOCKS</h2>
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<td class="memname">#define FEXCESS_GOLDILOCKS&#160;&#160;&#160;(((<a class="el" href="arch_8h.html#af31fcb3b74c4bcf6507f62d801277492">sign32</a>)1&lt;&lt;MAXXES_GOLDILOCKS)-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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<h2 class="memtitle"><span class="permalink"><a href="#a75fda8826b012fb4eb1bd2fc2c0dc821">&#9670;&nbsp;</a></span>MODBITS_GOLDILOCKS</h2>
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<td class="memname">#define MODBITS_GOLDILOCKS&#160;&#160;&#160;MBITS_GOLDILOCKS</td>
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<p>Number of bits in Modulus for selected curve </p>
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<a id="ac06414179c36d3bdfcb7eea5a587391b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac06414179c36d3bdfcb7eea5a587391b">&#9670;&nbsp;</a></span>OMASK_GOLDILOCKS</h2>
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<td class="memname">#define OMASK_GOLDILOCKS&#160;&#160;&#160;(-((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)(1)&lt;&lt;<a class="el" href="fp__GOLDILOCKS_8h.html#ae3047f3248518e76180a304f2340867d">TBITS_GOLDILOCKS</a>))</td>
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<p>for masking out overflow bits </p>
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<a id="ae3047f3248518e76180a304f2340867d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae3047f3248518e76180a304f2340867d">&#9670;&nbsp;</a></span>TBITS_GOLDILOCKS</h2>
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<td class="memname">#define TBITS_GOLDILOCKS&#160;&#160;&#160;(MBITS_GOLDILOCKS%<a class="el" href="config__big__448__58_8h.html#a581ba04af6943deabd0dec7c49e96fc9">BASEBITS_448_58</a>)</td>
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<p>Number of active bits in top word </p>
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<a id="a898920156a5cbd4fd0de1538342f4af7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a898920156a5cbd4fd0de1538342f4af7">&#9670;&nbsp;</a></span>TMASK_GOLDILOCKS</h2>
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<td class="memname">#define TMASK_GOLDILOCKS&#160;&#160;&#160;(((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)1&lt;&lt;<a class="el" href="fp__GOLDILOCKS_8h.html#ae3047f3248518e76180a304f2340867d">TBITS_GOLDILOCKS</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="a1b308b595c7e259e2c54c05c2b880322"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1b308b595c7e259e2c54c05c2b880322">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_add()</h2>
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<td class="memname">void FP_GOLDILOCKS_add </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</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__GOLDILOCKS.html">FP_GOLDILOCKS</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__GOLDILOCKS.html">FP_GOLDILOCKS</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>
</div>
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<a id="adb3de08575b0c5651eb71d7a1efb8f49"></a>
<h2 class="memtitle"><span class="permalink"><a href="#adb3de08575b0c5651eb71d7a1efb8f49">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_cmove()</h2>
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<td class="memname">void FP_GOLDILOCKS_cmove </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</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__GOLDILOCKS.html">FP_GOLDILOCKS</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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<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>
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<a id="a9071bab0fbc03ae4c533121303f30598"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9071bab0fbc03ae4c533121303f30598">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_copy()</h2>
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<td class="memname">void FP_GOLDILOCKS_copy </td>
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<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</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__GOLDILOCKS.html">FP_GOLDILOCKS</a> *&#160;</td>
<td class="paramname"><em>x</em>&#160;</td>
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<td></td>
<td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">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="aeeedbeca4956b7ad4a84236d9f84b5c3"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aeeedbeca4956b7ad4a84236d9f84b5c3">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_cswap()</h2>
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<td class="memname">void FP_GOLDILOCKS_cswap </td>
<td>(</td>
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<td class="paramname"><em>x</em>, </td>
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<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</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">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="a78fd0d538ddbda49aabc3510907d6ef9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a78fd0d538ddbda49aabc3510907d6ef9">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_div2()</h2>
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<td class="memname">void FP_GOLDILOCKS_div2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</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>
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<h2 class="memtitle"><span class="permalink"><a href="#ab99472837cec07a66b51d2ca353a0696">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_equals()</h2>
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<td class="memname">int FP_GOLDILOCKS_equals </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
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<td></td>
<td>)</td>
<td></td><td></td>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>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>
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<h2 class="memtitle"><span class="permalink"><a href="#adffa9205f226962e5ab702520adb78d5">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_imul()</h2>
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<td class="memname">void FP_GOLDILOCKS_imul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</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>i</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 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>
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<h2 class="memtitle"><span class="permalink"><a href="#a6e7008fbb451c17fc35629ab2a70ebbb">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_inv()</h2>
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<td class="memname">void FP_GOLDILOCKS_inv </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
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<td></td>
<td>)</td>
<td></td><td></td>
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</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>
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<h2 class="memtitle"><span class="permalink"><a href="#ac1702e89247f0374730e1880455e7b9f">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_iszilch()</h2>
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<td class="memname">int FP_GOLDILOCKS_iszilch </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</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>
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<h2 class="memtitle"><span class="permalink"><a href="#a2d282a445aba046d64104c548af43086">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_mod()</h2>
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<td class="memname">void FP_GOLDILOCKS_mod </td>
<td>(</td>
<td class="paramtype"><a class="el" href="big__448__58_8h.html#a0ff733902d2a77fd164b5e6f7917da0e">BIG_448_58</a>&#160;</td>
<td class="paramname"><em>r</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__448__58_8h.html#a140b718636a1e8195708da4da45e9f32">DBIG_448_58</a>&#160;</td>
<td class="paramname"><em>d</em>&#160;</td>
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<td></td>
<td>)</td>
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<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>
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<h2 class="memtitle"><span class="permalink"><a href="#a655fcc6de1bb209783901e7a8a4fc568">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_mul()</h2>
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<td class="memname">void FP_GOLDILOCKS_mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</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__GOLDILOCKS.html">FP_GOLDILOCKS</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__GOLDILOCKS.html">FP_GOLDILOCKS</a> *&#160;</td>
<td class="paramname"><em>z</em>&#160;</td>
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<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>
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<h2 class="memtitle"><span class="permalink"><a href="#a1e62224368c9248a6b1f371fe1967a7b">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_neg()</h2>
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<td class="memname">void FP_GOLDILOCKS_neg </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</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__GOLDILOCKS.html">FP_GOLDILOCKS</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
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<td></td>
<td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP number, on exit = -y mod Modulus </td></tr>
<tr><td class="paramname">y</td><td>FP number </td></tr>
</table>
</dd>
</dl>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a62c067aab5bbc392b35f8d5a3b97919a">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_norm()</h2>
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<td class="memname">void FP_GOLDILOCKS_norm </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
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</table>
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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 normalized </td></tr>
</table>
</dd>
</dl>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa98531061c674cfd9598f0654ecd9aed">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_nres()</h2>
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<td class="memname">void FP_GOLDILOCKS_nres </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__448__58_8h.html#a0ff733902d2a77fd164b5e6f7917da0e">BIG_448_58</a>&#160;</td>
<td class="paramname"><em>x</em>&#160;</td>
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<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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</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>
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<h2 class="memtitle"><span class="permalink"><a href="#ad32084c345a9bbd4a32c73bbf20ea3d3">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_one()</h2>
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<td class="memname">void FP_GOLDILOCKS_one </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP number to be set equal to unity. </td></tr>
</table>
</dd>
</dl>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a0f3fe25ccc4d83150095eb76134dcb30">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_output()</h2>
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<td class="memname">void FP_GOLDILOCKS_output </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
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<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>
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<h2 class="memtitle"><span class="permalink"><a href="#a08eed161de6dbebef3212c23943dc254">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_pow()</h2>
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<td class="memname">void FP_GOLDILOCKS_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</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__GOLDILOCKS.html">FP_GOLDILOCKS</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__448__58_8h.html#a0ff733902d2a77fd164b5e6f7917da0e">BIG_448_58</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>
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<h2 class="memtitle"><span class="permalink"><a href="#afe231486e9005d97908401c5e0bb3e93">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_qr()</h2>
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<td class="memname">int FP_GOLDILOCKS_qr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</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>
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<h2 class="memtitle"><span class="permalink"><a href="#af6b2e7200006daa9d1e84c90910d3f9e">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_rawoutput()</h2>
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<td class="memname">void FP_GOLDILOCKS_rawoutput </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</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>
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<h2 class="memtitle"><span class="permalink"><a href="#a2e179daef730109ca85bf76f8486b8d1">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_rcopy()</h2>
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<td class="memname">void FP_GOLDILOCKS_rcopy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</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__448__58_8h.html#a0ff733902d2a77fd164b5e6f7917da0e">BIG_448_58</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>BIG to be copied from ROM </td></tr>
</table>
</dd>
</dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#aea78dff7075bb92173c2cea506c31d93">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_redc()</h2>
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<td class="memname">void FP_GOLDILOCKS_redc </td>
<td>(</td>
<td class="paramtype"><a class="el" href="big__448__58_8h.html#a0ff733902d2a77fd164b5e6f7917da0e">BIG_448_58</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__GOLDILOCKS.html">FP_GOLDILOCKS</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>
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<h2 class="memtitle"><span class="permalink"><a href="#ad7aea7f0686f92f3352c3be3ac6ea7f6">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_reduce()</h2>
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<td class="memname">void FP_GOLDILOCKS_reduce </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP number, on exit reduced mod Modulus </td></tr>
</table>
</dd>
</dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a36126d99f7b367a57a295f72593a4cc4">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_sqr()</h2>
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<td class="memname">void FP_GOLDILOCKS_sqr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</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__GOLDILOCKS.html">FP_GOLDILOCKS</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
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<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>
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<h2 class="memtitle"><span class="permalink"><a href="#adec46b49a3f95ab3f0c545ac5d484353">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_sqrt()</h2>
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<td class="memname">void FP_GOLDILOCKS_sqrt </td>
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<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</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>
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<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>
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<h2 class="memtitle"><span class="permalink"><a href="#a43c45e3d4bd73b6afb44751258754dfc">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_sub()</h2>
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<td class="memname">void FP_GOLDILOCKS_sub </td>
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<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</a> *&#160;</td>
<td class="paramname"><em>z</em>&#160;</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="#acba9c084f6e7ffc172c2b9355b5576cf">&#9670;&nbsp;</a></span>FP_GOLDILOCKS_zero()</h2>
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<td class="memname">void FP_GOLDILOCKS_zero </td>
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<td class="paramtype"><a class="el" href="structFP__GOLDILOCKS.html">FP_GOLDILOCKS</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="#aa143044673e825f8efc4c2eb8d41330e">&#9670;&nbsp;</a></span>MConst_GOLDILOCKS</h2>
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<td class="memname">const <a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a> MConst_GOLDILOCKS</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="#a8e71b3d4e440279204f0e1be84b87923">&#9670;&nbsp;</a></span>Modulus_GOLDILOCKS</h2>
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<td class="memname">const <a class="el" href="big__448__58_8h.html#a0ff733902d2a77fd164b5e6f7917da0e">BIG_448_58</a> Modulus_GOLDILOCKS</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="#a72051e56a23f4164b522f50a5fc10e1f">&#9670;&nbsp;</a></span>R2modp_GOLDILOCKS</h2>
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<td class="memname">const <a class="el" href="big__448__58_8h.html#a0ff733902d2a77fd164b5e6f7917da0e">BIG_448_58</a> R2modp_GOLDILOCKS</td>
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<p>Montgomery constant </p>
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