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<a href="#nested-classes">Data Structures</a> &#124;
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<div class="title">fp2_FP512BN.h File Reference</div> </div>
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<p>FP2 Header File.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &quot;<a class="el" href="fp__FP512BN_8h_source.html">fp_FP512BN.h</a>&quot;</code><br />
</div>
<p><a href="fp2__FP512BN_8h_source.html">Go to the source code of this file.</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
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="structFP2__FP512BN.html">FP2_FP512BN</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">FP2 Structure - quadratic extension field. <a href="structFP2__FP512BN.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a625f6b7bf94e38d0cb74b37535ca47b2"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#a625f6b7bf94e38d0cb74b37535ca47b2">FP2_FP512BN_iszilch</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x)</td></tr>
<tr class="memdesc:a625f6b7bf94e38d0cb74b37535ca47b2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP2 equal to zero. <a href="#a625f6b7bf94e38d0cb74b37535ca47b2">More...</a><br /></td></tr>
<tr class="separator:a625f6b7bf94e38d0cb74b37535ca47b2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6c279c9b82d65f8b2530a59ba93d197e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#a6c279c9b82d65f8b2530a59ba93d197e">FP2_FP512BN_cmove</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x, <a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *y, int s)</td></tr>
<tr class="memdesc:a6c279c9b82d65f8b2530a59ba93d197e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional copy of FP2 number. <a href="#a6c279c9b82d65f8b2530a59ba93d197e">More...</a><br /></td></tr>
<tr class="separator:a6c279c9b82d65f8b2530a59ba93d197e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab9d8398669e91879076ee1b107858b20"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#ab9d8398669e91879076ee1b107858b20">FP2_FP512BN_isunity</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x)</td></tr>
<tr class="memdesc:ab9d8398669e91879076ee1b107858b20"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP2 equal to one. <a href="#ab9d8398669e91879076ee1b107858b20">More...</a><br /></td></tr>
<tr class="separator:ab9d8398669e91879076ee1b107858b20"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4d74104c6216bd9bf4fa640f6a7e33e1"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#a4d74104c6216bd9bf4fa640f6a7e33e1">FP2_FP512BN_equals</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x, <a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *y)</td></tr>
<tr class="memdesc:a4d74104c6216bd9bf4fa640f6a7e33e1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for equality of two FP2s. <a href="#a4d74104c6216bd9bf4fa640f6a7e33e1">More...</a><br /></td></tr>
<tr class="separator:a4d74104c6216bd9bf4fa640f6a7e33e1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a13aed7bb2b8b5e2c0956b94b9c0739e9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#a13aed7bb2b8b5e2c0956b94b9c0739e9">FP2_FP512BN_from_FPs</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x, <a class="el" href="structFP__FP512BN.html">FP_FP512BN</a> *a, <a class="el" href="structFP__FP512BN.html">FP_FP512BN</a> *b)</td></tr>
<tr class="memdesc:a13aed7bb2b8b5e2c0956b94b9c0739e9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP2 from two FP numbers. <a href="#a13aed7bb2b8b5e2c0956b94b9c0739e9">More...</a><br /></td></tr>
<tr class="separator:a13aed7bb2b8b5e2c0956b94b9c0739e9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0fa4dbbc9ce49955156d6baf5e00c42a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#a0fa4dbbc9ce49955156d6baf5e00c42a">FP2_FP512BN_from_BIGs</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> a, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> b)</td></tr>
<tr class="memdesc:a0fa4dbbc9ce49955156d6baf5e00c42a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP2 from two BIG integers. <a href="#a0fa4dbbc9ce49955156d6baf5e00c42a">More...</a><br /></td></tr>
<tr class="separator:a0fa4dbbc9ce49955156d6baf5e00c42a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9a0508f5175be6c6c3b9d08c3b0e26de"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#a9a0508f5175be6c6c3b9d08c3b0e26de">FP2_FP512BN_from_FP</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x, <a class="el" href="structFP__FP512BN.html">FP_FP512BN</a> *a)</td></tr>
<tr class="memdesc:a9a0508f5175be6c6c3b9d08c3b0e26de"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP2 from single FP. <a href="#a9a0508f5175be6c6c3b9d08c3b0e26de">More...</a><br /></td></tr>
<tr class="separator:a9a0508f5175be6c6c3b9d08c3b0e26de"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9a5a8f34f244f6565b8a147c39fd91bd"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#a9a5a8f34f244f6565b8a147c39fd91bd">FP2_FP512BN_from_BIG</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> a)</td></tr>
<tr class="memdesc:a9a5a8f34f244f6565b8a147c39fd91bd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP2 from single BIG. <a href="#a9a5a8f34f244f6565b8a147c39fd91bd">More...</a><br /></td></tr>
<tr class="separator:a9a5a8f34f244f6565b8a147c39fd91bd"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a57d0b4312bd55d6faabe72ff85c439ba"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#a57d0b4312bd55d6faabe72ff85c439ba">FP2_FP512BN_copy</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x, <a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *y)</td></tr>
<tr class="memdesc:a57d0b4312bd55d6faabe72ff85c439ba"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy FP2 to another FP2. <a href="#a57d0b4312bd55d6faabe72ff85c439ba">More...</a><br /></td></tr>
<tr class="separator:a57d0b4312bd55d6faabe72ff85c439ba"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae737cbc9ef0fa17a01bab6db1e50fed0"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#ae737cbc9ef0fa17a01bab6db1e50fed0">FP2_FP512BN_zero</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x)</td></tr>
<tr class="memdesc:ae737cbc9ef0fa17a01bab6db1e50fed0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP2 to zero. <a href="#ae737cbc9ef0fa17a01bab6db1e50fed0">More...</a><br /></td></tr>
<tr class="separator:ae737cbc9ef0fa17a01bab6db1e50fed0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa892fa82c0ffdec26fa946a3ca1382cd"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#aa892fa82c0ffdec26fa946a3ca1382cd">FP2_FP512BN_one</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x)</td></tr>
<tr class="memdesc:aa892fa82c0ffdec26fa946a3ca1382cd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP2 to unity. <a href="#aa892fa82c0ffdec26fa946a3ca1382cd">More...</a><br /></td></tr>
<tr class="separator:aa892fa82c0ffdec26fa946a3ca1382cd"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3506da754c2eeaeaec34b1cb30abb5d8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#a3506da754c2eeaeaec34b1cb30abb5d8">FP2_FP512BN_neg</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x, <a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *y)</td></tr>
<tr class="memdesc:a3506da754c2eeaeaec34b1cb30abb5d8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negation of FP2. <a href="#a3506da754c2eeaeaec34b1cb30abb5d8">More...</a><br /></td></tr>
<tr class="separator:a3506da754c2eeaeaec34b1cb30abb5d8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afa66927f6088a5966026cb04f2b90d4a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#afa66927f6088a5966026cb04f2b90d4a">FP2_FP512BN_conj</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x, <a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *y)</td></tr>
<tr class="memdesc:afa66927f6088a5966026cb04f2b90d4a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conjugation of FP2. <a href="#afa66927f6088a5966026cb04f2b90d4a">More...</a><br /></td></tr>
<tr class="separator:afa66927f6088a5966026cb04f2b90d4a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae67185ea859e23e7638ac638f4928fc1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#ae67185ea859e23e7638ac638f4928fc1">FP2_FP512BN_add</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x, <a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *y, <a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *z)</td></tr>
<tr class="memdesc:ae67185ea859e23e7638ac638f4928fc1"><td class="mdescLeft">&#160;</td><td class="mdescRight">addition of two FP2s <a href="#ae67185ea859e23e7638ac638f4928fc1">More...</a><br /></td></tr>
<tr class="separator:ae67185ea859e23e7638ac638f4928fc1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a192c17b2ab8af7de46f63070c5b7af79"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#a192c17b2ab8af7de46f63070c5b7af79">FP2_FP512BN_sub</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x, <a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *y, <a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *z)</td></tr>
<tr class="memdesc:a192c17b2ab8af7de46f63070c5b7af79"><td class="mdescLeft">&#160;</td><td class="mdescRight">subtraction of two FP2s <a href="#a192c17b2ab8af7de46f63070c5b7af79">More...</a><br /></td></tr>
<tr class="separator:a192c17b2ab8af7de46f63070c5b7af79"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:acc16ecabc741ad7d8e3534d5a51da635"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#acc16ecabc741ad7d8e3534d5a51da635">FP2_FP512BN_pmul</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x, <a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *y, <a class="el" href="structFP__FP512BN.html">FP_FP512BN</a> *b)</td></tr>
<tr class="memdesc:acc16ecabc741ad7d8e3534d5a51da635"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of an FP2 by an FP. <a href="#acc16ecabc741ad7d8e3534d5a51da635">More...</a><br /></td></tr>
<tr class="separator:acc16ecabc741ad7d8e3534d5a51da635"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a29fba738c0085e9cf59592b930e41a70"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#a29fba738c0085e9cf59592b930e41a70">FP2_FP512BN_imul</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x, <a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *y, int i)</td></tr>
<tr class="memdesc:a29fba738c0085e9cf59592b930e41a70"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of an FP2 by a small integer. <a href="#a29fba738c0085e9cf59592b930e41a70">More...</a><br /></td></tr>
<tr class="separator:a29fba738c0085e9cf59592b930e41a70"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0229cfe4781a066e96e7bf46b64295f0"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#a0229cfe4781a066e96e7bf46b64295f0">FP2_FP512BN_sqr</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x, <a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *y)</td></tr>
<tr class="memdesc:a0229cfe4781a066e96e7bf46b64295f0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Squaring an FP2. <a href="#a0229cfe4781a066e96e7bf46b64295f0">More...</a><br /></td></tr>
<tr class="separator:a0229cfe4781a066e96e7bf46b64295f0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6575e45774416cfab48d96cf84461c3d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#a6575e45774416cfab48d96cf84461c3d">FP2_FP512BN_mul</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x, <a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *y, <a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *z)</td></tr>
<tr class="memdesc:a6575e45774416cfab48d96cf84461c3d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of two FP2s. <a href="#a6575e45774416cfab48d96cf84461c3d">More...</a><br /></td></tr>
<tr class="separator:a6575e45774416cfab48d96cf84461c3d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a08f733965e5930f9903eaf94d3a2a288"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#a08f733965e5930f9903eaf94d3a2a288">FP2_FP512BN_output</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x)</td></tr>
<tr class="memdesc:a08f733965e5930f9903eaf94d3a2a288"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP2 to the console. <a href="#a08f733965e5930f9903eaf94d3a2a288">More...</a><br /></td></tr>
<tr class="separator:a08f733965e5930f9903eaf94d3a2a288"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac88eed5ffa2db9a4dedf128686ba7aa1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#ac88eed5ffa2db9a4dedf128686ba7aa1">FP2_FP512BN_rawoutput</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x)</td></tr>
<tr class="memdesc:ac88eed5ffa2db9a4dedf128686ba7aa1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP2 to the console in raw form (for debugging) <a href="#ac88eed5ffa2db9a4dedf128686ba7aa1">More...</a><br /></td></tr>
<tr class="separator:ac88eed5ffa2db9a4dedf128686ba7aa1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4746f00b41c0b8b2f3e0ac2b67dd8e46"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#a4746f00b41c0b8b2f3e0ac2b67dd8e46">FP2_FP512BN_inv</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x, <a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *y)</td></tr>
<tr class="memdesc:a4746f00b41c0b8b2f3e0ac2b67dd8e46"><td class="mdescLeft">&#160;</td><td class="mdescRight">Inverting an FP2. <a href="#a4746f00b41c0b8b2f3e0ac2b67dd8e46">More...</a><br /></td></tr>
<tr class="separator:a4746f00b41c0b8b2f3e0ac2b67dd8e46"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af5af58692aef23417b8ddc34a066d204"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#af5af58692aef23417b8ddc34a066d204">FP2_FP512BN_div2</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x, <a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *y)</td></tr>
<tr class="memdesc:af5af58692aef23417b8ddc34a066d204"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP2 by 2. <a href="#af5af58692aef23417b8ddc34a066d204">More...</a><br /></td></tr>
<tr class="separator:af5af58692aef23417b8ddc34a066d204"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4394fb1001b21c6677795df6b7e21534"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#a4394fb1001b21c6677795df6b7e21534">FP2_FP512BN_mul_ip</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x)</td></tr>
<tr class="memdesc:a4394fb1001b21c6677795df6b7e21534"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiply an FP2 by (1+sqrt(-1)) <a href="#a4394fb1001b21c6677795df6b7e21534">More...</a><br /></td></tr>
<tr class="separator:a4394fb1001b21c6677795df6b7e21534"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa2dff0b605f4baed35109c98a355a2ad"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#aa2dff0b605f4baed35109c98a355a2ad">FP2_FP512BN_div_ip2</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x)</td></tr>
<tr class="memdesc:aa2dff0b605f4baed35109c98a355a2ad"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP2 by (1+sqrt(-1))/2 -. <a href="#aa2dff0b605f4baed35109c98a355a2ad">More...</a><br /></td></tr>
<tr class="separator:aa2dff0b605f4baed35109c98a355a2ad"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a01980fd8e12ef9e68affff3454d62343"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#a01980fd8e12ef9e68affff3454d62343">FP2_FP512BN_div_ip</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x)</td></tr>
<tr class="memdesc:a01980fd8e12ef9e68affff3454d62343"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP2 by (1+sqrt(-1)) <a href="#a01980fd8e12ef9e68affff3454d62343">More...</a><br /></td></tr>
<tr class="separator:a01980fd8e12ef9e68affff3454d62343"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6e629f368865b6f04c2a7de98670b0ae"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#a6e629f368865b6f04c2a7de98670b0ae">FP2_FP512BN_norm</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x)</td></tr>
<tr class="memdesc:a6e629f368865b6f04c2a7de98670b0ae"><td class="mdescLeft">&#160;</td><td class="mdescRight">Normalises the components of an FP2. <a href="#a6e629f368865b6f04c2a7de98670b0ae">More...</a><br /></td></tr>
<tr class="separator:a6e629f368865b6f04c2a7de98670b0ae"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afd06d6f3aca9e7ce5aa63b7adda78df2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#afd06d6f3aca9e7ce5aa63b7adda78df2">FP2_FP512BN_reduce</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x)</td></tr>
<tr class="memdesc:afd06d6f3aca9e7ce5aa63b7adda78df2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces all components of possibly unreduced FP2 mod Modulus. <a href="#afd06d6f3aca9e7ce5aa63b7adda78df2">More...</a><br /></td></tr>
<tr class="separator:afd06d6f3aca9e7ce5aa63b7adda78df2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a934d46157354ae34dbedd441b0fd66b5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#a934d46157354ae34dbedd441b0fd66b5">FP2_FP512BN_pow</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x, <a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *y, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> b)</td></tr>
<tr class="memdesc:a934d46157354ae34dbedd441b0fd66b5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP2 to the power of a BIG. <a href="#a934d46157354ae34dbedd441b0fd66b5">More...</a><br /></td></tr>
<tr class="separator:a934d46157354ae34dbedd441b0fd66b5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a07c4583fbf44b7b746913e25d8b40de7"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#a07c4583fbf44b7b746913e25d8b40de7">FP2_FP512BN_sqrt</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x, <a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *y)</td></tr>
<tr class="memdesc:a07c4583fbf44b7b746913e25d8b40de7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Square root of an FP2. <a href="#a07c4583fbf44b7b746913e25d8b40de7">More...</a><br /></td></tr>
<tr class="separator:a07c4583fbf44b7b746913e25d8b40de7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9e1117113dc21b62d5bc9325a1659178"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__FP512BN_8h.html#a9e1117113dc21b62d5bc9325a1659178">FP2_FP512BN_times_i</a> (<a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *x)</td></tr>
<tr class="memdesc:a9e1117113dc21b62d5bc9325a1659178"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiply an FP2 by sqrt(-1) <a href="#a9e1117113dc21b62d5bc9325a1659178">More...</a><br /></td></tr>
<tr class="separator:a9e1117113dc21b62d5bc9325a1659178"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><dl class="section author"><dt>Author</dt><dd>Mike Scott </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ae67185ea859e23e7638ac638f4928fc1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae67185ea859e23e7638ac638f4928fc1">&#9670;&nbsp;</a></span>FP2_FP512BN_add()</h2>
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<td class="memname">void FP2_FP512BN_add </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</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="structFP2__FP512BN.html">FP2_FP512BN</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td></td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *&#160;</td>
<td class="paramname"><em>z</em>&#160;</td>
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<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>FP2 instance, on exit = y+z </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance </td></tr>
<tr><td class="paramname">z</td><td>FP2 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a6c279c9b82d65f8b2530a59ba93d197e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6c279c9b82d65f8b2530a59ba93d197e">&#9670;&nbsp;</a></span>FP2_FP512BN_cmove()</h2>
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<td class="memname">void FP2_FP512BN_cmove </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</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="structFP2__FP512BN.html">FP2_FP512BN</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>s</em>&#160;</td>
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<td>)</td>
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<p>Conditionally copies second parameter to the first (without branching) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP2 instance, set to y if s!=0 </td></tr>
<tr><td class="paramname">y</td><td>another FP2 instance </td></tr>
<tr><td class="paramname">s</td><td>copy only takes place if not equal to 0 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="afa66927f6088a5966026cb04f2b90d4a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#afa66927f6088a5966026cb04f2b90d4a">&#9670;&nbsp;</a></span>FP2_FP512BN_conj()</h2>
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<td class="memname">void FP2_FP512BN_conj </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</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="structFP2__FP512BN.html">FP2_FP512BN</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
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<td></td>
<td>)</td>
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<p>If y=(a,b) on exit x=(a,-b) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP2 instance, on exit = conj(y) </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a57d0b4312bd55d6faabe72ff85c439ba"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a57d0b4312bd55d6faabe72ff85c439ba">&#9670;&nbsp;</a></span>FP2_FP512BN_copy()</h2>
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<td class="memname">void FP2_FP512BN_copy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</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="structFP2__FP512BN.html">FP2_FP512BN</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>FP2 instance, on exit = y </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance to be copied </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="af5af58692aef23417b8ddc34a066d204"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af5af58692aef23417b8ddc34a066d204">&#9670;&nbsp;</a></span>FP2_FP512BN_div2()</h2>
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<td class="memname">void FP2_FP512BN_div2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</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="structFP2__FP512BN.html">FP2_FP512BN</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>FP2 instance, on exit = y/2 </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance </td></tr>
</table>
</dd>
</dl>
</div>
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<a id="a01980fd8e12ef9e68affff3454d62343"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a01980fd8e12ef9e68affff3454d62343">&#9670;&nbsp;</a></span>FP2_FP512BN_div_ip()</h2>
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<td class="memname">void FP2_FP512BN_div_ip </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
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<p>Note that (1+sqrt(-1)) is irreducible for FP4 </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP2 instance, on exit = x/(1+sqrt(-1)) </td></tr>
</table>
</dd>
</dl>
</div>
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<a id="aa2dff0b605f4baed35109c98a355a2ad"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa2dff0b605f4baed35109c98a355a2ad">&#9670;&nbsp;</a></span>FP2_FP512BN_div_ip2()</h2>
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<td class="memname">void FP2_FP512BN_div_ip2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
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<p>Note that (1+sqrt(-1)) is irreducible for FP4 </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP2 instance, on exit = 2x/(1+sqrt(-1)) </td></tr>
</table>
</dd>
</dl>
</div>
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<a id="a4d74104c6216bd9bf4fa640f6a7e33e1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4d74104c6216bd9bf4fa640f6a7e33e1">&#9670;&nbsp;</a></span>FP2_FP512BN_equals()</h2>
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<td class="memname">int FP2_FP512BN_equals </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</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="structFP2__FP512BN.html">FP2_FP512BN</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP2 instance to be compared </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance to be compared </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 if x=y, else returns 0 </dd></dl>
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<a id="a9a5a8f34f244f6565b8a147c39fd91bd"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9a5a8f34f244f6565b8a147c39fd91bd">&#9670;&nbsp;</a></span>FP2_FP512BN_from_BIG()</h2>
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<td class="memname">void FP2_FP512BN_from_BIG </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a>&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
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<td></td>
<td>)</td>
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<p>Imaginary part is set to zero </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP2 instance to be initialised </td></tr>
<tr><td class="paramname">a</td><td>BIG to form real part of FP2 </td></tr>
</table>
</dd>
</dl>
</div>
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<a id="a0fa4dbbc9ce49955156d6baf5e00c42a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0fa4dbbc9ce49955156d6baf5e00c42a">&#9670;&nbsp;</a></span>FP2_FP512BN_from_BIGs()</h2>
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<td class="memname">void FP2_FP512BN_from_BIGs </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a>&#160;</td>
<td class="paramname"><em>a</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a>&#160;</td>
<td class="paramname"><em>b</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>FP2 instance to be initialised </td></tr>
<tr><td class="paramname">a</td><td>BIG to form real part of FP2 </td></tr>
<tr><td class="paramname">b</td><td>BIG to form imaginary part of FP2 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a9a0508f5175be6c6c3b9d08c3b0e26de"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9a0508f5175be6c6c3b9d08c3b0e26de">&#9670;&nbsp;</a></span>FP2_FP512BN_from_FP()</h2>
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<div class="memproto">
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<td class="memname">void FP2_FP512BN_from_FP </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</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__FP512BN.html">FP_FP512BN</a> *&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Imaginary part is set to zero </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP2 instance to be initialised </td></tr>
<tr><td class="paramname">a</td><td>FP to form real part of FP2 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a13aed7bb2b8b5e2c0956b94b9c0739e9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a13aed7bb2b8b5e2c0956b94b9c0739e9">&#9670;&nbsp;</a></span>FP2_FP512BN_from_FPs()</h2>
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<div class="memproto">
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<td class="memname">void FP2_FP512BN_from_FPs </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</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__FP512BN.html">FP_FP512BN</a> *&#160;</td>
<td class="paramname"><em>a</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP__FP512BN.html">FP_FP512BN</a> *&#160;</td>
<td class="paramname"><em>b</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>FP2 instance to be initialised </td></tr>
<tr><td class="paramname">a</td><td>FP to form real part of FP2 </td></tr>
<tr><td class="paramname">b</td><td>FP to form imaginary part of FP2 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a29fba738c0085e9cf59592b930e41a70"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a29fba738c0085e9cf59592b930e41a70">&#9670;&nbsp;</a></span>FP2_FP512BN_imul()</h2>
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<div class="memproto">
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<td class="memname">void FP2_FP512BN_imul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</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="structFP2__FP512BN.html">FP2_FP512BN</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>FP2 instance, on exit = y*i </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance </td></tr>
<tr><td class="paramname">i</td><td>an integer </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a4746f00b41c0b8b2f3e0ac2b67dd8e46"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4746f00b41c0b8b2f3e0ac2b67dd8e46">&#9670;&nbsp;</a></span>FP2_FP512BN_inv()</h2>
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<td class="memname">void FP2_FP512BN_inv </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</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="structFP2__FP512BN.html">FP2_FP512BN</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>FP2 instance, on exit = 1/y </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ab9d8398669e91879076ee1b107858b20"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab9d8398669e91879076ee1b107858b20">&#9670;&nbsp;</a></span>FP2_FP512BN_isunity()</h2>
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<td class="memname">int FP2_FP512BN_isunity </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</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>FP2 instance to be tested </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 if x=1, else returns 0 </dd></dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a625f6b7bf94e38d0cb74b37535ca47b2">&#9670;&nbsp;</a></span>FP2_FP512BN_iszilch()</h2>
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<td class="memname">int FP2_FP512BN_iszilch </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</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>FP2 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="a6575e45774416cfab48d96cf84461c3d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6575e45774416cfab48d96cf84461c3d">&#9670;&nbsp;</a></span>FP2_FP512BN_mul()</h2>
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<td class="memname">void FP2_FP512BN_mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</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="structFP2__FP512BN.html">FP2_FP512BN</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="structFP2__FP512BN.html">FP2_FP512BN</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>FP2 instance, on exit = y*z </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance </td></tr>
<tr><td class="paramname">z</td><td>FP2 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a4394fb1001b21c6677795df6b7e21534"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4394fb1001b21c6677795df6b7e21534">&#9670;&nbsp;</a></span>FP2_FP512BN_mul_ip()</h2>
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<td class="memname">void FP2_FP512BN_mul_ip </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Note that (1+sqrt(-1)) is irreducible for FP4 </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP2 instance, on exit = x*(1+sqrt(-1)) </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a3506da754c2eeaeaec34b1cb30abb5d8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3506da754c2eeaeaec34b1cb30abb5d8">&#9670;&nbsp;</a></span>FP2_FP512BN_neg()</h2>
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<td class="memname">void FP2_FP512BN_neg </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</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="structFP2__FP512BN.html">FP2_FP512BN</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>FP2 instance, on exit = -y </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a6e629f368865b6f04c2a7de98670b0ae"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6e629f368865b6f04c2a7de98670b0ae">&#9670;&nbsp;</a></span>FP2_FP512BN_norm()</h2>
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<td class="memname">void FP2_FP512BN_norm </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</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>FP2 instance to be normalised </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="aa892fa82c0ffdec26fa946a3ca1382cd"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa892fa82c0ffdec26fa946a3ca1382cd">&#9670;&nbsp;</a></span>FP2_FP512BN_one()</h2>
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<td class="memname">void FP2_FP512BN_one </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</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>FP2 instance to be set to one </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a08f733965e5930f9903eaf94d3a2a288"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a08f733965e5930f9903eaf94d3a2a288">&#9670;&nbsp;</a></span>FP2_FP512BN_output()</h2>
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<td class="memname">void FP2_FP512BN_output </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</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>FP2 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="acc16ecabc741ad7d8e3534d5a51da635"></a>
<h2 class="memtitle"><span class="permalink"><a href="#acc16ecabc741ad7d8e3534d5a51da635">&#9670;&nbsp;</a></span>FP2_FP512BN_pmul()</h2>
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<td class="memname">void FP2_FP512BN_pmul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</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="structFP2__FP512BN.html">FP2_FP512BN</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__FP512BN.html">FP_FP512BN</a> *&#160;</td>
<td class="paramname"><em>b</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>FP2 instance, on exit = y*b </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance </td></tr>
<tr><td class="paramname">b</td><td>FP residue </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a934d46157354ae34dbedd441b0fd66b5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a934d46157354ae34dbedd441b0fd66b5">&#9670;&nbsp;</a></span>FP2_FP512BN_pow()</h2>
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<td class="memname">void FP2_FP512BN_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</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="structFP2__FP512BN.html">FP2_FP512BN</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a>&#160;</td>
<td class="paramname"><em>b</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>FP2 instance, on exit = y^b </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance </td></tr>
<tr><td class="paramname">b</td><td>BIG number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ac88eed5ffa2db9a4dedf128686ba7aa1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac88eed5ffa2db9a4dedf128686ba7aa1">&#9670;&nbsp;</a></span>FP2_FP512BN_rawoutput()</h2>
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<td class="memname">void FP2_FP512BN_rawoutput </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</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>FP2 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="afd06d6f3aca9e7ce5aa63b7adda78df2"></a>
<h2 class="memtitle"><span class="permalink"><a href="#afd06d6f3aca9e7ce5aa63b7adda78df2">&#9670;&nbsp;</a></span>FP2_FP512BN_reduce()</h2>
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<div class="memproto">
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<td class="memname">void FP2_FP512BN_reduce </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</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>FP2 instance, on exit reduced mod Modulus </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a0229cfe4781a066e96e7bf46b64295f0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0229cfe4781a066e96e7bf46b64295f0">&#9670;&nbsp;</a></span>FP2_FP512BN_sqr()</h2>
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<td class="memname">void FP2_FP512BN_sqr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</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="structFP2__FP512BN.html">FP2_FP512BN</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>FP2 instance, on exit = y^2 </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a07c4583fbf44b7b746913e25d8b40de7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a07c4583fbf44b7b746913e25d8b40de7">&#9670;&nbsp;</a></span>FP2_FP512BN_sqrt()</h2>
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<td class="memname">int FP2_FP512BN_sqrt </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</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="structFP2__FP512BN.html">FP2_FP512BN</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<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>FP2 instance, on exit = sqrt(y) </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance </td></tr>
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</dd>
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<a id="a192c17b2ab8af7de46f63070c5b7af79"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a192c17b2ab8af7de46f63070c5b7af79">&#9670;&nbsp;</a></span>FP2_FP512BN_sub()</h2>
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<td class="memname">void FP2_FP512BN_sub </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</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="structFP2__FP512BN.html">FP2_FP512BN</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *&#160;</td>
<td class="paramname"><em>z</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>FP2 instance, on exit = y-z </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance </td></tr>
<tr><td class="paramname">z</td><td>FP2 instance </td></tr>
</table>
</dd>
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<a id="a9e1117113dc21b62d5bc9325a1659178"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9e1117113dc21b62d5bc9325a1659178">&#9670;&nbsp;</a></span>FP2_FP512BN_times_i()</h2>
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<td class="memname">void FP2_FP512BN_times_i </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
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<p>Note that -1 is QNR </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP2 instance, on exit = x*sqrt(-1) </td></tr>
</table>
</dd>
</dl>
</div>
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<a id="ae737cbc9ef0fa17a01bab6db1e50fed0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae737cbc9ef0fa17a01bab6db1e50fed0">&#9670;&nbsp;</a></span>FP2_FP512BN_zero()</h2>
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<td class="memname">void FP2_FP512BN_zero </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *&#160;</td>
<td class="paramname"><em>x</em></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>FP2 instance to be set to zero </td></tr>
</table>
</dd>
</dl>
</div>
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