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<a href="#nested-classes">Data Structures</a> &#124;
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<div class="title">fp2_BLS461.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__BLS461_8h_source.html">fp_BLS461.h</a>&quot;</code><br />
</div>
<p><a href="fp2__BLS461_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__BLS461.html">FP2_BLS461</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">FP2 Structure - quadratic extension field. <a href="structFP2__BLS461.html#details">More...</a><br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a342f9f0d843d1e6d25009668fe6675f9"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#a342f9f0d843d1e6d25009668fe6675f9">FP2_BLS461_iszilch</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x)</td></tr>
<tr class="memdesc:a342f9f0d843d1e6d25009668fe6675f9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP2 equal to zero. <a href="#a342f9f0d843d1e6d25009668fe6675f9">More...</a><br /></td></tr>
<tr class="separator:a342f9f0d843d1e6d25009668fe6675f9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9b7f10846bfc8f385a89af43b0dbd2ca"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#a9b7f10846bfc8f385a89af43b0dbd2ca">FP2_BLS461_cmove</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x, <a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *y, int s)</td></tr>
<tr class="memdesc:a9b7f10846bfc8f385a89af43b0dbd2ca"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional copy of FP2 number. <a href="#a9b7f10846bfc8f385a89af43b0dbd2ca">More...</a><br /></td></tr>
<tr class="separator:a9b7f10846bfc8f385a89af43b0dbd2ca"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7e9787ca2ed62eb6331c4bb1a0cef199"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#a7e9787ca2ed62eb6331c4bb1a0cef199">FP2_BLS461_isunity</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x)</td></tr>
<tr class="memdesc:a7e9787ca2ed62eb6331c4bb1a0cef199"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP2 equal to one. <a href="#a7e9787ca2ed62eb6331c4bb1a0cef199">More...</a><br /></td></tr>
<tr class="separator:a7e9787ca2ed62eb6331c4bb1a0cef199"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:acdf7c98e3470e01cb139f0aadb8cdff9"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#acdf7c98e3470e01cb139f0aadb8cdff9">FP2_BLS461_equals</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x, <a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *y)</td></tr>
<tr class="memdesc:acdf7c98e3470e01cb139f0aadb8cdff9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for equality of two FP2s. <a href="#acdf7c98e3470e01cb139f0aadb8cdff9">More...</a><br /></td></tr>
<tr class="separator:acdf7c98e3470e01cb139f0aadb8cdff9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a38a1159ac5e0fd17969c9e7a0bb4b19b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#a38a1159ac5e0fd17969c9e7a0bb4b19b">FP2_BLS461_from_FPs</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x, <a class="el" href="structFP__BLS461.html">FP_BLS461</a> *a, <a class="el" href="structFP__BLS461.html">FP_BLS461</a> *b)</td></tr>
<tr class="memdesc:a38a1159ac5e0fd17969c9e7a0bb4b19b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP2 from two FP numbers. <a href="#a38a1159ac5e0fd17969c9e7a0bb4b19b">More...</a><br /></td></tr>
<tr class="separator:a38a1159ac5e0fd17969c9e7a0bb4b19b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a105fc94d0a1fbe5b9098b21cb93b8dae"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#a105fc94d0a1fbe5b9098b21cb93b8dae">FP2_BLS461_from_BIGs</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x, <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> a, <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> b)</td></tr>
<tr class="memdesc:a105fc94d0a1fbe5b9098b21cb93b8dae"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP2 from two BIG integers. <a href="#a105fc94d0a1fbe5b9098b21cb93b8dae">More...</a><br /></td></tr>
<tr class="separator:a105fc94d0a1fbe5b9098b21cb93b8dae"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a943144873cc905b4bd928ade20e403b2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#a943144873cc905b4bd928ade20e403b2">FP2_BLS461_from_FP</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x, <a class="el" href="structFP__BLS461.html">FP_BLS461</a> *a)</td></tr>
<tr class="memdesc:a943144873cc905b4bd928ade20e403b2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP2 from single FP. <a href="#a943144873cc905b4bd928ade20e403b2">More...</a><br /></td></tr>
<tr class="separator:a943144873cc905b4bd928ade20e403b2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a02bb1dc9c8efd276d81777229d55c650"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#a02bb1dc9c8efd276d81777229d55c650">FP2_BLS461_from_BIG</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x, <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> a)</td></tr>
<tr class="memdesc:a02bb1dc9c8efd276d81777229d55c650"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP2 from single BIG. <a href="#a02bb1dc9c8efd276d81777229d55c650">More...</a><br /></td></tr>
<tr class="separator:a02bb1dc9c8efd276d81777229d55c650"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a30dbfef620b1ba2814184a7f15a368a1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#a30dbfef620b1ba2814184a7f15a368a1">FP2_BLS461_copy</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x, <a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *y)</td></tr>
<tr class="memdesc:a30dbfef620b1ba2814184a7f15a368a1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy FP2 to another FP2. <a href="#a30dbfef620b1ba2814184a7f15a368a1">More...</a><br /></td></tr>
<tr class="separator:a30dbfef620b1ba2814184a7f15a368a1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a40bfb0aefff6cc620edec17991e63165"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#a40bfb0aefff6cc620edec17991e63165">FP2_BLS461_zero</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x)</td></tr>
<tr class="memdesc:a40bfb0aefff6cc620edec17991e63165"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP2 to zero. <a href="#a40bfb0aefff6cc620edec17991e63165">More...</a><br /></td></tr>
<tr class="separator:a40bfb0aefff6cc620edec17991e63165"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a19d685290bc3d3edec55cbcb1c321f25"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#a19d685290bc3d3edec55cbcb1c321f25">FP2_BLS461_one</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x)</td></tr>
<tr class="memdesc:a19d685290bc3d3edec55cbcb1c321f25"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP2 to unity. <a href="#a19d685290bc3d3edec55cbcb1c321f25">More...</a><br /></td></tr>
<tr class="separator:a19d685290bc3d3edec55cbcb1c321f25"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a336a59c81e2944087e563dd9ebf1b6cf"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#a336a59c81e2944087e563dd9ebf1b6cf">FP2_BLS461_neg</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x, <a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *y)</td></tr>
<tr class="memdesc:a336a59c81e2944087e563dd9ebf1b6cf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negation of FP2. <a href="#a336a59c81e2944087e563dd9ebf1b6cf">More...</a><br /></td></tr>
<tr class="separator:a336a59c81e2944087e563dd9ebf1b6cf"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a386fce088010e1e566d614dbbd5c78f5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#a386fce088010e1e566d614dbbd5c78f5">FP2_BLS461_conj</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x, <a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *y)</td></tr>
<tr class="memdesc:a386fce088010e1e566d614dbbd5c78f5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conjugation of FP2. <a href="#a386fce088010e1e566d614dbbd5c78f5">More...</a><br /></td></tr>
<tr class="separator:a386fce088010e1e566d614dbbd5c78f5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a87668354ed4733dd51739711ca4b4c9d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#a87668354ed4733dd51739711ca4b4c9d">FP2_BLS461_add</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x, <a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *y, <a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *z)</td></tr>
<tr class="memdesc:a87668354ed4733dd51739711ca4b4c9d"><td class="mdescLeft">&#160;</td><td class="mdescRight">addition of two FP2s <a href="#a87668354ed4733dd51739711ca4b4c9d">More...</a><br /></td></tr>
<tr class="separator:a87668354ed4733dd51739711ca4b4c9d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afe919da0ac9f2485f1175d2481d825b1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#afe919da0ac9f2485f1175d2481d825b1">FP2_BLS461_sub</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x, <a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *y, <a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *z)</td></tr>
<tr class="memdesc:afe919da0ac9f2485f1175d2481d825b1"><td class="mdescLeft">&#160;</td><td class="mdescRight">subtraction of two FP2s <a href="#afe919da0ac9f2485f1175d2481d825b1">More...</a><br /></td></tr>
<tr class="separator:afe919da0ac9f2485f1175d2481d825b1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1d501442200214d1a04809af9aa80187"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#a1d501442200214d1a04809af9aa80187">FP2_BLS461_pmul</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x, <a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *y, <a class="el" href="structFP__BLS461.html">FP_BLS461</a> *b)</td></tr>
<tr class="memdesc:a1d501442200214d1a04809af9aa80187"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of an FP2 by an FP. <a href="#a1d501442200214d1a04809af9aa80187">More...</a><br /></td></tr>
<tr class="separator:a1d501442200214d1a04809af9aa80187"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a249cef3cd996e6a9401949d0f002ad5c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#a249cef3cd996e6a9401949d0f002ad5c">FP2_BLS461_imul</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x, <a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *y, int i)</td></tr>
<tr class="memdesc:a249cef3cd996e6a9401949d0f002ad5c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of an FP2 by a small integer. <a href="#a249cef3cd996e6a9401949d0f002ad5c">More...</a><br /></td></tr>
<tr class="separator:a249cef3cd996e6a9401949d0f002ad5c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aab0eae3cb3c78be0ee193f2f8fd521e7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#aab0eae3cb3c78be0ee193f2f8fd521e7">FP2_BLS461_sqr</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x, <a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *y)</td></tr>
<tr class="memdesc:aab0eae3cb3c78be0ee193f2f8fd521e7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Squaring an FP2. <a href="#aab0eae3cb3c78be0ee193f2f8fd521e7">More...</a><br /></td></tr>
<tr class="separator:aab0eae3cb3c78be0ee193f2f8fd521e7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac64a0c17b3a26b48b335722e26239b73"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#ac64a0c17b3a26b48b335722e26239b73">FP2_BLS461_mul</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x, <a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *y, <a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *z)</td></tr>
<tr class="memdesc:ac64a0c17b3a26b48b335722e26239b73"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of two FP2s. <a href="#ac64a0c17b3a26b48b335722e26239b73">More...</a><br /></td></tr>
<tr class="separator:ac64a0c17b3a26b48b335722e26239b73"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9003d127e7748a270b2e12dfaa7f8c3d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#a9003d127e7748a270b2e12dfaa7f8c3d">FP2_BLS461_output</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x)</td></tr>
<tr class="memdesc:a9003d127e7748a270b2e12dfaa7f8c3d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP2 to the console. <a href="#a9003d127e7748a270b2e12dfaa7f8c3d">More...</a><br /></td></tr>
<tr class="separator:a9003d127e7748a270b2e12dfaa7f8c3d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a072d5583b3701121bddd9e593123f510"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#a072d5583b3701121bddd9e593123f510">FP2_BLS461_rawoutput</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x)</td></tr>
<tr class="memdesc:a072d5583b3701121bddd9e593123f510"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP2 to the console in raw form (for debugging) <a href="#a072d5583b3701121bddd9e593123f510">More...</a><br /></td></tr>
<tr class="separator:a072d5583b3701121bddd9e593123f510"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a34172ec8c4cefc19252bb208ea5c32db"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#a34172ec8c4cefc19252bb208ea5c32db">FP2_BLS461_inv</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x, <a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *y)</td></tr>
<tr class="memdesc:a34172ec8c4cefc19252bb208ea5c32db"><td class="mdescLeft">&#160;</td><td class="mdescRight">Inverting an FP2. <a href="#a34172ec8c4cefc19252bb208ea5c32db">More...</a><br /></td></tr>
<tr class="separator:a34172ec8c4cefc19252bb208ea5c32db"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a91e7d9f85a7c9390d33fccbe9741c4f1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#a91e7d9f85a7c9390d33fccbe9741c4f1">FP2_BLS461_div2</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x, <a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *y)</td></tr>
<tr class="memdesc:a91e7d9f85a7c9390d33fccbe9741c4f1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP2 by 2. <a href="#a91e7d9f85a7c9390d33fccbe9741c4f1">More...</a><br /></td></tr>
<tr class="separator:a91e7d9f85a7c9390d33fccbe9741c4f1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aed8d640eb2affedfa6bb072a8b3debd8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#aed8d640eb2affedfa6bb072a8b3debd8">FP2_BLS461_mul_ip</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x)</td></tr>
<tr class="memdesc:aed8d640eb2affedfa6bb072a8b3debd8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiply an FP2 by (1+sqrt(-1)) <a href="#aed8d640eb2affedfa6bb072a8b3debd8">More...</a><br /></td></tr>
<tr class="separator:aed8d640eb2affedfa6bb072a8b3debd8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7e00ac1a38b5e02c5dcc4fe9ae5c9c57"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#a7e00ac1a38b5e02c5dcc4fe9ae5c9c57">FP2_BLS461_div_ip2</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x)</td></tr>
<tr class="memdesc:a7e00ac1a38b5e02c5dcc4fe9ae5c9c57"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP2 by (1+sqrt(-1))/2 -. <a href="#a7e00ac1a38b5e02c5dcc4fe9ae5c9c57">More...</a><br /></td></tr>
<tr class="separator:a7e00ac1a38b5e02c5dcc4fe9ae5c9c57"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a461a3750fe6c954c7b14d263ed155907"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#a461a3750fe6c954c7b14d263ed155907">FP2_BLS461_div_ip</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x)</td></tr>
<tr class="memdesc:a461a3750fe6c954c7b14d263ed155907"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP2 by (1+sqrt(-1)) <a href="#a461a3750fe6c954c7b14d263ed155907">More...</a><br /></td></tr>
<tr class="separator:a461a3750fe6c954c7b14d263ed155907"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a074edb59382cfc41f635008c8169a6be"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#a074edb59382cfc41f635008c8169a6be">FP2_BLS461_norm</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x)</td></tr>
<tr class="memdesc:a074edb59382cfc41f635008c8169a6be"><td class="mdescLeft">&#160;</td><td class="mdescRight">Normalises the components of an FP2. <a href="#a074edb59382cfc41f635008c8169a6be">More...</a><br /></td></tr>
<tr class="separator:a074edb59382cfc41f635008c8169a6be"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7a47b813fbdda09b7f9143f139820751"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#a7a47b813fbdda09b7f9143f139820751">FP2_BLS461_reduce</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x)</td></tr>
<tr class="memdesc:a7a47b813fbdda09b7f9143f139820751"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces all components of possibly unreduced FP2 mod Modulus. <a href="#a7a47b813fbdda09b7f9143f139820751">More...</a><br /></td></tr>
<tr class="separator:a7a47b813fbdda09b7f9143f139820751"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af34146664c3f044611a9cec35cb6bbaf"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#af34146664c3f044611a9cec35cb6bbaf">FP2_BLS461_pow</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x, <a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *y, <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> b)</td></tr>
<tr class="memdesc:af34146664c3f044611a9cec35cb6bbaf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP2 to the power of a BIG. <a href="#af34146664c3f044611a9cec35cb6bbaf">More...</a><br /></td></tr>
<tr class="separator:af34146664c3f044611a9cec35cb6bbaf"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0309114cd8924a905566153b34c9fa42"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#a0309114cd8924a905566153b34c9fa42">FP2_BLS461_sqrt</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x, <a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *y)</td></tr>
<tr class="memdesc:a0309114cd8924a905566153b34c9fa42"><td class="mdescLeft">&#160;</td><td class="mdescRight">Square root of an FP2. <a href="#a0309114cd8924a905566153b34c9fa42">More...</a><br /></td></tr>
<tr class="separator:a0309114cd8924a905566153b34c9fa42"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8c97aa768c710055123f3acfd2aa1aed"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS461_8h.html#a8c97aa768c710055123f3acfd2aa1aed">FP2_BLS461_times_i</a> (<a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *x)</td></tr>
<tr class="memdesc:a8c97aa768c710055123f3acfd2aa1aed"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiply an FP2 by sqrt(-1) <a href="#a8c97aa768c710055123f3acfd2aa1aed">More...</a><br /></td></tr>
<tr class="separator:a8c97aa768c710055123f3acfd2aa1aed"><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="a87668354ed4733dd51739711ca4b4c9d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a87668354ed4733dd51739711ca4b4c9d">&#9670;&nbsp;</a></span>FP2_BLS461_add()</h2>
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<td class="memname">void FP2_BLS461_add </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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__BLS461.html">FP2_BLS461</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__BLS461.html">FP2_BLS461</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="a9b7f10846bfc8f385a89af43b0dbd2ca"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9b7f10846bfc8f385a89af43b0dbd2ca">&#9670;&nbsp;</a></span>FP2_BLS461_cmove()</h2>
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<td class="memname">void FP2_BLS461_cmove </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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__BLS461.html">FP2_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>s</em>&#160;</td>
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<tr>
<td></td>
<td>)</td>
<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="a386fce088010e1e566d614dbbd5c78f5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a386fce088010e1e566d614dbbd5c78f5">&#9670;&nbsp;</a></span>FP2_BLS461_conj()</h2>
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<td class="memname">void FP2_BLS461_conj </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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__BLS461.html">FP2_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>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="a30dbfef620b1ba2814184a7f15a368a1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a30dbfef620b1ba2814184a7f15a368a1">&#9670;&nbsp;</a></span>FP2_BLS461_copy()</h2>
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<td class="memname">void FP2_BLS461_copy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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__BLS461.html">FP2_BLS461</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="a91e7d9f85a7c9390d33fccbe9741c4f1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a91e7d9f85a7c9390d33fccbe9741c4f1">&#9670;&nbsp;</a></span>FP2_BLS461_div2()</h2>
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<td class="memname">void FP2_BLS461_div2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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__BLS461.html">FP2_BLS461</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="a461a3750fe6c954c7b14d263ed155907"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a461a3750fe6c954c7b14d263ed155907">&#9670;&nbsp;</a></span>FP2_BLS461_div_ip()</h2>
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<td class="memname">void FP2_BLS461_div_ip </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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="a7e00ac1a38b5e02c5dcc4fe9ae5c9c57"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7e00ac1a38b5e02c5dcc4fe9ae5c9c57">&#9670;&nbsp;</a></span>FP2_BLS461_div_ip2()</h2>
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<td class="memname">void FP2_BLS461_div_ip2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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 = 2x/(1+sqrt(-1)) </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="acdf7c98e3470e01cb139f0aadb8cdff9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#acdf7c98e3470e01cb139f0aadb8cdff9">&#9670;&nbsp;</a></span>FP2_BLS461_equals()</h2>
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<td class="memname">int FP2_BLS461_equals </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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__BLS461.html">FP2_BLS461</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="a02bb1dc9c8efd276d81777229d55c650"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a02bb1dc9c8efd276d81777229d55c650">&#9670;&nbsp;</a></span>FP2_BLS461_from_BIG()</h2>
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<td class="memname">void FP2_BLS461_from_BIG </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</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>BIG to form real part of FP2 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a105fc94d0a1fbe5b9098b21cb93b8dae"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a105fc94d0a1fbe5b9098b21cb93b8dae">&#9670;&nbsp;</a></span>FP2_BLS461_from_BIGs()</h2>
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<td class="memname">void FP2_BLS461_from_BIGs </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_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__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_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="a943144873cc905b4bd928ade20e403b2"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a943144873cc905b4bd928ade20e403b2">&#9670;&nbsp;</a></span>FP2_BLS461_from_FP()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP2_BLS461_from_FP </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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__BLS461.html">FP_BLS461</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="a38a1159ac5e0fd17969c9e7a0bb4b19b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a38a1159ac5e0fd17969c9e7a0bb4b19b">&#9670;&nbsp;</a></span>FP2_BLS461_from_FPs()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP2_BLS461_from_FPs </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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__BLS461.html">FP_BLS461</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__BLS461.html">FP_BLS461</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="a249cef3cd996e6a9401949d0f002ad5c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a249cef3cd996e6a9401949d0f002ad5c">&#9670;&nbsp;</a></span>FP2_BLS461_imul()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP2_BLS461_imul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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__BLS461.html">FP2_BLS461</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="a34172ec8c4cefc19252bb208ea5c32db"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a34172ec8c4cefc19252bb208ea5c32db">&#9670;&nbsp;</a></span>FP2_BLS461_inv()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP2_BLS461_inv </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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__BLS461.html">FP2_BLS461</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="a7e9787ca2ed62eb6331c4bb1a0cef199"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7e9787ca2ed62eb6331c4bb1a0cef199">&#9670;&nbsp;</a></span>FP2_BLS461_isunity()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP2_BLS461_isunity </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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="a342f9f0d843d1e6d25009668fe6675f9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a342f9f0d843d1e6d25009668fe6675f9">&#9670;&nbsp;</a></span>FP2_BLS461_iszilch()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP2_BLS461_iszilch </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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="ac64a0c17b3a26b48b335722e26239b73"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac64a0c17b3a26b48b335722e26239b73">&#9670;&nbsp;</a></span>FP2_BLS461_mul()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP2_BLS461_mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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__BLS461.html">FP2_BLS461</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__BLS461.html">FP2_BLS461</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="aed8d640eb2affedfa6bb072a8b3debd8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aed8d640eb2affedfa6bb072a8b3debd8">&#9670;&nbsp;</a></span>FP2_BLS461_mul_ip()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP2_BLS461_mul_ip </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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="a336a59c81e2944087e563dd9ebf1b6cf"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a336a59c81e2944087e563dd9ebf1b6cf">&#9670;&nbsp;</a></span>FP2_BLS461_neg()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP2_BLS461_neg </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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__BLS461.html">FP2_BLS461</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="a074edb59382cfc41f635008c8169a6be"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a074edb59382cfc41f635008c8169a6be">&#9670;&nbsp;</a></span>FP2_BLS461_norm()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP2_BLS461_norm </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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="a19d685290bc3d3edec55cbcb1c321f25"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a19d685290bc3d3edec55cbcb1c321f25">&#9670;&nbsp;</a></span>FP2_BLS461_one()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP2_BLS461_one </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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="a9003d127e7748a270b2e12dfaa7f8c3d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9003d127e7748a270b2e12dfaa7f8c3d">&#9670;&nbsp;</a></span>FP2_BLS461_output()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP2_BLS461_output </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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="a1d501442200214d1a04809af9aa80187"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1d501442200214d1a04809af9aa80187">&#9670;&nbsp;</a></span>FP2_BLS461_pmul()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP2_BLS461_pmul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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__BLS461.html">FP2_BLS461</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__BLS461.html">FP_BLS461</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="af34146664c3f044611a9cec35cb6bbaf"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af34146664c3f044611a9cec35cb6bbaf">&#9670;&nbsp;</a></span>FP2_BLS461_pow()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP2_BLS461_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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__BLS461.html">FP2_BLS461</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__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_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="a072d5583b3701121bddd9e593123f510"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a072d5583b3701121bddd9e593123f510">&#9670;&nbsp;</a></span>FP2_BLS461_rawoutput()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP2_BLS461_rawoutput </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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="a7a47b813fbdda09b7f9143f139820751"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7a47b813fbdda09b7f9143f139820751">&#9670;&nbsp;</a></span>FP2_BLS461_reduce()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP2_BLS461_reduce </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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="aab0eae3cb3c78be0ee193f2f8fd521e7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aab0eae3cb3c78be0ee193f2f8fd521e7">&#9670;&nbsp;</a></span>FP2_BLS461_sqr()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP2_BLS461_sqr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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__BLS461.html">FP2_BLS461</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="a0309114cd8924a905566153b34c9fa42"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0309114cd8924a905566153b34c9fa42">&#9670;&nbsp;</a></span>FP2_BLS461_sqrt()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP2_BLS461_sqrt </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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__BLS461.html">FP2_BLS461</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="#afe919da0ac9f2485f1175d2481d825b1">&#9670;&nbsp;</a></span>FP2_BLS461_sub()</h2>
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<td class="memname">void FP2_BLS461_sub </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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="#a8c97aa768c710055123f3acfd2aa1aed">&#9670;&nbsp;</a></span>FP2_BLS461_times_i()</h2>
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<td class="memname">void FP2_BLS461_times_i </td>
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<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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="#a40bfb0aefff6cc620edec17991e63165">&#9670;&nbsp;</a></span>FP2_BLS461_zero()</h2>
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<td class="memname">void FP2_BLS461_zero </td>
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<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</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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