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<a href="#nested-classes">Data Structures</a> &#124;
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<div class="title">fp2_BLS381.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__BLS381_8h_source.html">fp_BLS381.h</a>&quot;</code><br />
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<p><a href="fp2__BLS381_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__BLS381.html">FP2_BLS381</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">FP2 Structure - quadratic extension field. <a href="structFP2__BLS381.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:a40289fabff0a18e180b07b471e5d8cd9"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#a40289fabff0a18e180b07b471e5d8cd9">FP2_BLS381_iszilch</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x)</td></tr>
<tr class="memdesc:a40289fabff0a18e180b07b471e5d8cd9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP2 equal to zero. <a href="#a40289fabff0a18e180b07b471e5d8cd9">More...</a><br /></td></tr>
<tr class="separator:a40289fabff0a18e180b07b471e5d8cd9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1b7c3a8dd5120d24cb25ea914b547cd2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#a1b7c3a8dd5120d24cb25ea914b547cd2">FP2_BLS381_cmove</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x, <a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *y, int s)</td></tr>
<tr class="memdesc:a1b7c3a8dd5120d24cb25ea914b547cd2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional copy of FP2 number. <a href="#a1b7c3a8dd5120d24cb25ea914b547cd2">More...</a><br /></td></tr>
<tr class="separator:a1b7c3a8dd5120d24cb25ea914b547cd2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2ba96521c0cdb989252815e646bb71ef"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#a2ba96521c0cdb989252815e646bb71ef">FP2_BLS381_isunity</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x)</td></tr>
<tr class="memdesc:a2ba96521c0cdb989252815e646bb71ef"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP2 equal to one. <a href="#a2ba96521c0cdb989252815e646bb71ef">More...</a><br /></td></tr>
<tr class="separator:a2ba96521c0cdb989252815e646bb71ef"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad00aebdec80b5dfd305b11552885a5da"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#ad00aebdec80b5dfd305b11552885a5da">FP2_BLS381_equals</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x, <a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *y)</td></tr>
<tr class="memdesc:ad00aebdec80b5dfd305b11552885a5da"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for equality of two FP2s. <a href="#ad00aebdec80b5dfd305b11552885a5da">More...</a><br /></td></tr>
<tr class="separator:ad00aebdec80b5dfd305b11552885a5da"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4b08a60ff28389620f582ac2f45fda76"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#a4b08a60ff28389620f582ac2f45fda76">FP2_BLS381_from_FPs</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x, <a class="el" href="structFP__BLS381.html">FP_BLS381</a> *a, <a class="el" href="structFP__BLS381.html">FP_BLS381</a> *b)</td></tr>
<tr class="memdesc:a4b08a60ff28389620f582ac2f45fda76"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP2 from two FP numbers. <a href="#a4b08a60ff28389620f582ac2f45fda76">More...</a><br /></td></tr>
<tr class="separator:a4b08a60ff28389620f582ac2f45fda76"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a74bd1940eaf9025b0df9646f6ba9ca59"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#a74bd1940eaf9025b0df9646f6ba9ca59">FP2_BLS381_from_BIGs</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x, <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> a, <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> b)</td></tr>
<tr class="memdesc:a74bd1940eaf9025b0df9646f6ba9ca59"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP2 from two BIG integers. <a href="#a74bd1940eaf9025b0df9646f6ba9ca59">More...</a><br /></td></tr>
<tr class="separator:a74bd1940eaf9025b0df9646f6ba9ca59"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a576be24a416e3eb19c844b73adf27bd7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#a576be24a416e3eb19c844b73adf27bd7">FP2_BLS381_from_FP</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x, <a class="el" href="structFP__BLS381.html">FP_BLS381</a> *a)</td></tr>
<tr class="memdesc:a576be24a416e3eb19c844b73adf27bd7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP2 from single FP. <a href="#a576be24a416e3eb19c844b73adf27bd7">More...</a><br /></td></tr>
<tr class="separator:a576be24a416e3eb19c844b73adf27bd7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abaf0706d3320f8a9b92f6fd93b804bc8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#abaf0706d3320f8a9b92f6fd93b804bc8">FP2_BLS381_from_BIG</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x, <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> a)</td></tr>
<tr class="memdesc:abaf0706d3320f8a9b92f6fd93b804bc8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP2 from single BIG. <a href="#abaf0706d3320f8a9b92f6fd93b804bc8">More...</a><br /></td></tr>
<tr class="separator:abaf0706d3320f8a9b92f6fd93b804bc8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a96da7f3bedd560f7be28d880a682fbfa"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#a96da7f3bedd560f7be28d880a682fbfa">FP2_BLS381_copy</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x, <a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *y)</td></tr>
<tr class="memdesc:a96da7f3bedd560f7be28d880a682fbfa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy FP2 to another FP2. <a href="#a96da7f3bedd560f7be28d880a682fbfa">More...</a><br /></td></tr>
<tr class="separator:a96da7f3bedd560f7be28d880a682fbfa"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab19163dc700b9479653bca5e37444054"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#ab19163dc700b9479653bca5e37444054">FP2_BLS381_zero</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x)</td></tr>
<tr class="memdesc:ab19163dc700b9479653bca5e37444054"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP2 to zero. <a href="#ab19163dc700b9479653bca5e37444054">More...</a><br /></td></tr>
<tr class="separator:ab19163dc700b9479653bca5e37444054"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8e56daa06c033cb0453da3ce91096f6f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#a8e56daa06c033cb0453da3ce91096f6f">FP2_BLS381_one</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x)</td></tr>
<tr class="memdesc:a8e56daa06c033cb0453da3ce91096f6f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP2 to unity. <a href="#a8e56daa06c033cb0453da3ce91096f6f">More...</a><br /></td></tr>
<tr class="separator:a8e56daa06c033cb0453da3ce91096f6f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a860ab1d21705f1e32a37f89f2d774803"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#a860ab1d21705f1e32a37f89f2d774803">FP2_BLS381_neg</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x, <a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *y)</td></tr>
<tr class="memdesc:a860ab1d21705f1e32a37f89f2d774803"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negation of FP2. <a href="#a860ab1d21705f1e32a37f89f2d774803">More...</a><br /></td></tr>
<tr class="separator:a860ab1d21705f1e32a37f89f2d774803"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5337788c51877c61ae6a90a1f68f2ba7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#a5337788c51877c61ae6a90a1f68f2ba7">FP2_BLS381_conj</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x, <a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *y)</td></tr>
<tr class="memdesc:a5337788c51877c61ae6a90a1f68f2ba7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conjugation of FP2. <a href="#a5337788c51877c61ae6a90a1f68f2ba7">More...</a><br /></td></tr>
<tr class="separator:a5337788c51877c61ae6a90a1f68f2ba7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1697932e5758716262fe3abaec8b76a1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#a1697932e5758716262fe3abaec8b76a1">FP2_BLS381_add</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x, <a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *y, <a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *z)</td></tr>
<tr class="memdesc:a1697932e5758716262fe3abaec8b76a1"><td class="mdescLeft">&#160;</td><td class="mdescRight">addition of two FP2s <a href="#a1697932e5758716262fe3abaec8b76a1">More...</a><br /></td></tr>
<tr class="separator:a1697932e5758716262fe3abaec8b76a1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:acaedfc2753bea7faf224a7bf3f410604"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#acaedfc2753bea7faf224a7bf3f410604">FP2_BLS381_sub</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x, <a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *y, <a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *z)</td></tr>
<tr class="memdesc:acaedfc2753bea7faf224a7bf3f410604"><td class="mdescLeft">&#160;</td><td class="mdescRight">subtraction of two FP2s <a href="#acaedfc2753bea7faf224a7bf3f410604">More...</a><br /></td></tr>
<tr class="separator:acaedfc2753bea7faf224a7bf3f410604"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae9c0ca3179c86bfb07609c5f0ea01c72"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#ae9c0ca3179c86bfb07609c5f0ea01c72">FP2_BLS381_pmul</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x, <a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *y, <a class="el" href="structFP__BLS381.html">FP_BLS381</a> *b)</td></tr>
<tr class="memdesc:ae9c0ca3179c86bfb07609c5f0ea01c72"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of an FP2 by an FP. <a href="#ae9c0ca3179c86bfb07609c5f0ea01c72">More...</a><br /></td></tr>
<tr class="separator:ae9c0ca3179c86bfb07609c5f0ea01c72"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a724524b28caad933baf4589b7e9ae47d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#a724524b28caad933baf4589b7e9ae47d">FP2_BLS381_imul</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x, <a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *y, int i)</td></tr>
<tr class="memdesc:a724524b28caad933baf4589b7e9ae47d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of an FP2 by a small integer. <a href="#a724524b28caad933baf4589b7e9ae47d">More...</a><br /></td></tr>
<tr class="separator:a724524b28caad933baf4589b7e9ae47d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a95322de463114e36e296c3c38cb20ff7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#a95322de463114e36e296c3c38cb20ff7">FP2_BLS381_sqr</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x, <a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *y)</td></tr>
<tr class="memdesc:a95322de463114e36e296c3c38cb20ff7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Squaring an FP2. <a href="#a95322de463114e36e296c3c38cb20ff7">More...</a><br /></td></tr>
<tr class="separator:a95322de463114e36e296c3c38cb20ff7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8ac32994ec45c0f08cafc1a756c43641"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#a8ac32994ec45c0f08cafc1a756c43641">FP2_BLS381_mul</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x, <a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *y, <a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *z)</td></tr>
<tr class="memdesc:a8ac32994ec45c0f08cafc1a756c43641"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of two FP2s. <a href="#a8ac32994ec45c0f08cafc1a756c43641">More...</a><br /></td></tr>
<tr class="separator:a8ac32994ec45c0f08cafc1a756c43641"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1022fd6ddafe7f71ab3eb9d7fdfc65d9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#a1022fd6ddafe7f71ab3eb9d7fdfc65d9">FP2_BLS381_output</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x)</td></tr>
<tr class="memdesc:a1022fd6ddafe7f71ab3eb9d7fdfc65d9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP2 to the console. <a href="#a1022fd6ddafe7f71ab3eb9d7fdfc65d9">More...</a><br /></td></tr>
<tr class="separator:a1022fd6ddafe7f71ab3eb9d7fdfc65d9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:acc206d1d57fe02dcb897340bceee3588"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#acc206d1d57fe02dcb897340bceee3588">FP2_BLS381_rawoutput</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x)</td></tr>
<tr class="memdesc:acc206d1d57fe02dcb897340bceee3588"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP2 to the console in raw form (for debugging) <a href="#acc206d1d57fe02dcb897340bceee3588">More...</a><br /></td></tr>
<tr class="separator:acc206d1d57fe02dcb897340bceee3588"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab5d6f4bda63c614681e69b2d51e0e819"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#ab5d6f4bda63c614681e69b2d51e0e819">FP2_BLS381_inv</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x, <a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *y)</td></tr>
<tr class="memdesc:ab5d6f4bda63c614681e69b2d51e0e819"><td class="mdescLeft">&#160;</td><td class="mdescRight">Inverting an FP2. <a href="#ab5d6f4bda63c614681e69b2d51e0e819">More...</a><br /></td></tr>
<tr class="separator:ab5d6f4bda63c614681e69b2d51e0e819"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae73682808445434eec1f88c295aefc87"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#ae73682808445434eec1f88c295aefc87">FP2_BLS381_div2</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x, <a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *y)</td></tr>
<tr class="memdesc:ae73682808445434eec1f88c295aefc87"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP2 by 2. <a href="#ae73682808445434eec1f88c295aefc87">More...</a><br /></td></tr>
<tr class="separator:ae73682808445434eec1f88c295aefc87"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aba7872896d24075e422ff9ddc7b3a5b5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#aba7872896d24075e422ff9ddc7b3a5b5">FP2_BLS381_mul_ip</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x)</td></tr>
<tr class="memdesc:aba7872896d24075e422ff9ddc7b3a5b5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiply an FP2 by (1+sqrt(-1)) <a href="#aba7872896d24075e422ff9ddc7b3a5b5">More...</a><br /></td></tr>
<tr class="separator:aba7872896d24075e422ff9ddc7b3a5b5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a83d0b1690f3217ecae39d89e50e76e64"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#a83d0b1690f3217ecae39d89e50e76e64">FP2_BLS381_div_ip2</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x)</td></tr>
<tr class="memdesc:a83d0b1690f3217ecae39d89e50e76e64"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP2 by (1+sqrt(-1))/2 -. <a href="#a83d0b1690f3217ecae39d89e50e76e64">More...</a><br /></td></tr>
<tr class="separator:a83d0b1690f3217ecae39d89e50e76e64"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a88e2eaa2d7e085f6e653e55172e8efa9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#a88e2eaa2d7e085f6e653e55172e8efa9">FP2_BLS381_div_ip</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x)</td></tr>
<tr class="memdesc:a88e2eaa2d7e085f6e653e55172e8efa9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP2 by (1+sqrt(-1)) <a href="#a88e2eaa2d7e085f6e653e55172e8efa9">More...</a><br /></td></tr>
<tr class="separator:a88e2eaa2d7e085f6e653e55172e8efa9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a23856cad2fcb755d2736880c3c2186d4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#a23856cad2fcb755d2736880c3c2186d4">FP2_BLS381_norm</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x)</td></tr>
<tr class="memdesc:a23856cad2fcb755d2736880c3c2186d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Normalises the components of an FP2. <a href="#a23856cad2fcb755d2736880c3c2186d4">More...</a><br /></td></tr>
<tr class="separator:a23856cad2fcb755d2736880c3c2186d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa87bf0baf23cb33e520a0eb59851237e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#aa87bf0baf23cb33e520a0eb59851237e">FP2_BLS381_reduce</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x)</td></tr>
<tr class="memdesc:aa87bf0baf23cb33e520a0eb59851237e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces all components of possibly unreduced FP2 mod Modulus. <a href="#aa87bf0baf23cb33e520a0eb59851237e">More...</a><br /></td></tr>
<tr class="separator:aa87bf0baf23cb33e520a0eb59851237e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a16d1c66a60417932356fc55543ca60d7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#a16d1c66a60417932356fc55543ca60d7">FP2_BLS381_pow</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x, <a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *y, <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> b)</td></tr>
<tr class="memdesc:a16d1c66a60417932356fc55543ca60d7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP2 to the power of a BIG. <a href="#a16d1c66a60417932356fc55543ca60d7">More...</a><br /></td></tr>
<tr class="separator:a16d1c66a60417932356fc55543ca60d7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa775a1b8ca6673ad36e53b9ca1ad2037"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#aa775a1b8ca6673ad36e53b9ca1ad2037">FP2_BLS381_sqrt</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x, <a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *y)</td></tr>
<tr class="memdesc:aa775a1b8ca6673ad36e53b9ca1ad2037"><td class="mdescLeft">&#160;</td><td class="mdescRight">Square root of an FP2. <a href="#aa775a1b8ca6673ad36e53b9ca1ad2037">More...</a><br /></td></tr>
<tr class="separator:aa775a1b8ca6673ad36e53b9ca1ad2037"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7fe4b253d8c6a5b84e773603808644c0"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS381_8h.html#a7fe4b253d8c6a5b84e773603808644c0">FP2_BLS381_times_i</a> (<a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *x)</td></tr>
<tr class="memdesc:a7fe4b253d8c6a5b84e773603808644c0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiply an FP2 by sqrt(-1) <a href="#a7fe4b253d8c6a5b84e773603808644c0">More...</a><br /></td></tr>
<tr class="separator:a7fe4b253d8c6a5b84e773603808644c0"><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="a1697932e5758716262fe3abaec8b76a1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1697932e5758716262fe3abaec8b76a1">&#9670;&nbsp;</a></span>FP2_BLS381_add()</h2>
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<td class="memname">void FP2_BLS381_add </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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__BLS381.html">FP2_BLS381</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__BLS381.html">FP2_BLS381</a> *&#160;</td>
<td class="paramname"><em>z</em>&#160;</td>
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<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="a1b7c3a8dd5120d24cb25ea914b547cd2"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1b7c3a8dd5120d24cb25ea914b547cd2">&#9670;&nbsp;</a></span>FP2_BLS381_cmove()</h2>
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<td class="memname">void FP2_BLS381_cmove </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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__BLS381.html">FP2_BLS381</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>s</em>&#160;</td>
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<td></td>
<td>)</td>
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<p>Conditionally 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="a5337788c51877c61ae6a90a1f68f2ba7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5337788c51877c61ae6a90a1f68f2ba7">&#9670;&nbsp;</a></span>FP2_BLS381_conj()</h2>
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<td class="memname">void FP2_BLS381_conj </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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__BLS381.html">FP2_BLS381</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
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</div><div class="memdoc">
<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="a96da7f3bedd560f7be28d880a682fbfa"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a96da7f3bedd560f7be28d880a682fbfa">&#9670;&nbsp;</a></span>FP2_BLS381_copy()</h2>
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<td class="memname">void FP2_BLS381_copy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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__BLS381.html">FP2_BLS381</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 to be copied </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ae73682808445434eec1f88c295aefc87"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae73682808445434eec1f88c295aefc87">&#9670;&nbsp;</a></span>FP2_BLS381_div2()</h2>
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<td class="memname">void FP2_BLS381_div2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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__BLS381.html">FP2_BLS381</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="a88e2eaa2d7e085f6e653e55172e8efa9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a88e2eaa2d7e085f6e653e55172e8efa9">&#9670;&nbsp;</a></span>FP2_BLS381_div_ip()</h2>
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<td class="memname">void FP2_BLS381_div_ip </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
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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>
</div>
<a id="a83d0b1690f3217ecae39d89e50e76e64"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a83d0b1690f3217ecae39d89e50e76e64">&#9670;&nbsp;</a></span>FP2_BLS381_div_ip2()</h2>
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<td class="memname">void FP2_BLS381_div_ip2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
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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>
</div>
<a id="ad00aebdec80b5dfd305b11552885a5da"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad00aebdec80b5dfd305b11552885a5da">&#9670;&nbsp;</a></span>FP2_BLS381_equals()</h2>
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<td class="memname">int FP2_BLS381_equals </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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__BLS381.html">FP2_BLS381</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 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>
</div>
</div>
<a id="abaf0706d3320f8a9b92f6fd93b804bc8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abaf0706d3320f8a9b92f6fd93b804bc8">&#9670;&nbsp;</a></span>FP2_BLS381_from_BIG()</h2>
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<td class="memname">void FP2_BLS381_from_BIG </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a>&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<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>
</div>
<a id="a74bd1940eaf9025b0df9646f6ba9ca59"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a74bd1940eaf9025b0df9646f6ba9ca59">&#9670;&nbsp;</a></span>FP2_BLS381_from_BIGs()</h2>
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<td class="memname">void FP2_BLS381_from_BIGs </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</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__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</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="a576be24a416e3eb19c844b73adf27bd7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a576be24a416e3eb19c844b73adf27bd7">&#9670;&nbsp;</a></span>FP2_BLS381_from_FP()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP2_BLS381_from_FP </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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__BLS381.html">FP_BLS381</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="a4b08a60ff28389620f582ac2f45fda76"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4b08a60ff28389620f582ac2f45fda76">&#9670;&nbsp;</a></span>FP2_BLS381_from_FPs()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP2_BLS381_from_FPs </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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__BLS381.html">FP_BLS381</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__BLS381.html">FP_BLS381</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="a724524b28caad933baf4589b7e9ae47d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a724524b28caad933baf4589b7e9ae47d">&#9670;&nbsp;</a></span>FP2_BLS381_imul()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP2_BLS381_imul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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__BLS381.html">FP2_BLS381</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="ab5d6f4bda63c614681e69b2d51e0e819"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab5d6f4bda63c614681e69b2d51e0e819">&#9670;&nbsp;</a></span>FP2_BLS381_inv()</h2>
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<div class="memproto">
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<td class="memname">void FP2_BLS381_inv </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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__BLS381.html">FP2_BLS381</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="a2ba96521c0cdb989252815e646bb71ef"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2ba96521c0cdb989252815e646bb71ef">&#9670;&nbsp;</a></span>FP2_BLS381_isunity()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">int FP2_BLS381_isunity </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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>
<a id="a40289fabff0a18e180b07b471e5d8cd9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a40289fabff0a18e180b07b471e5d8cd9">&#9670;&nbsp;</a></span>FP2_BLS381_iszilch()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">int FP2_BLS381_iszilch </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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="a8ac32994ec45c0f08cafc1a756c43641"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8ac32994ec45c0f08cafc1a756c43641">&#9670;&nbsp;</a></span>FP2_BLS381_mul()</h2>
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<div class="memproto">
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<td class="memname">void FP2_BLS381_mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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__BLS381.html">FP2_BLS381</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__BLS381.html">FP2_BLS381</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="aba7872896d24075e422ff9ddc7b3a5b5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aba7872896d24075e422ff9ddc7b3a5b5">&#9670;&nbsp;</a></span>FP2_BLS381_mul_ip()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP2_BLS381_mul_ip </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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="a860ab1d21705f1e32a37f89f2d774803"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a860ab1d21705f1e32a37f89f2d774803">&#9670;&nbsp;</a></span>FP2_BLS381_neg()</h2>
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<div class="memproto">
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<td class="memname">void FP2_BLS381_neg </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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__BLS381.html">FP2_BLS381</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="a23856cad2fcb755d2736880c3c2186d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a23856cad2fcb755d2736880c3c2186d4">&#9670;&nbsp;</a></span>FP2_BLS381_norm()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP2_BLS381_norm </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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="a8e56daa06c033cb0453da3ce91096f6f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8e56daa06c033cb0453da3ce91096f6f">&#9670;&nbsp;</a></span>FP2_BLS381_one()</h2>
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<div class="memproto">
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<td class="memname">void FP2_BLS381_one </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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="a1022fd6ddafe7f71ab3eb9d7fdfc65d9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1022fd6ddafe7f71ab3eb9d7fdfc65d9">&#9670;&nbsp;</a></span>FP2_BLS381_output()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP2_BLS381_output </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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="ae9c0ca3179c86bfb07609c5f0ea01c72"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae9c0ca3179c86bfb07609c5f0ea01c72">&#9670;&nbsp;</a></span>FP2_BLS381_pmul()</h2>
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<div class="memproto">
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<td class="memname">void FP2_BLS381_pmul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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__BLS381.html">FP2_BLS381</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__BLS381.html">FP_BLS381</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="a16d1c66a60417932356fc55543ca60d7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a16d1c66a60417932356fc55543ca60d7">&#9670;&nbsp;</a></span>FP2_BLS381_pow()</h2>
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<td class="memname">void FP2_BLS381_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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__BLS381.html">FP2_BLS381</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__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</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="acc206d1d57fe02dcb897340bceee3588"></a>
<h2 class="memtitle"><span class="permalink"><a href="#acc206d1d57fe02dcb897340bceee3588">&#9670;&nbsp;</a></span>FP2_BLS381_rawoutput()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP2_BLS381_rawoutput </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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="aa87bf0baf23cb33e520a0eb59851237e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa87bf0baf23cb33e520a0eb59851237e">&#9670;&nbsp;</a></span>FP2_BLS381_reduce()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP2_BLS381_reduce </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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="a95322de463114e36e296c3c38cb20ff7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a95322de463114e36e296c3c38cb20ff7">&#9670;&nbsp;</a></span>FP2_BLS381_sqr()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP2_BLS381_sqr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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__BLS381.html">FP2_BLS381</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="aa775a1b8ca6673ad36e53b9ca1ad2037"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa775a1b8ca6673ad36e53b9ca1ad2037">&#9670;&nbsp;</a></span>FP2_BLS381_sqrt()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP2_BLS381_sqrt </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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__BLS381.html">FP2_BLS381</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 = sqrt(y) </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance </td></tr>
</table>
</dd>
</dl>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#acaedfc2753bea7faf224a7bf3f410604">&#9670;&nbsp;</a></span>FP2_BLS381_sub()</h2>
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<td class="memname">void FP2_BLS381_sub </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *&#160;</td>
<td class="paramname"><em>z</em>&#160;</td>
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<td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">x</td><td>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>
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<h2 class="memtitle"><span class="permalink"><a href="#a7fe4b253d8c6a5b84e773603808644c0">&#9670;&nbsp;</a></span>FP2_BLS381_times_i()</h2>
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<td class="memname">void FP2_BLS381_times_i </td>
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<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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>
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<tr><td class="paramname">x</td><td>FP2 instance, on exit = x*sqrt(-1) </td></tr>
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<h2 class="memtitle"><span class="permalink"><a href="#ab19163dc700b9479653bca5e37444054">&#9670;&nbsp;</a></span>FP2_BLS381_zero()</h2>
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<td class="memname">void FP2_BLS381_zero </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS381.html">FP2_BLS381</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>FP2 instance to be set to zero </td></tr>
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