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<a href="#nested-classes">Data Structures</a> &#124;
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<p>FP4 Header File.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &quot;<a class="el" href="fp2__BN254_8h_source.html">fp2_BN254.h</a>&quot;</code><br />
<code>#include &quot;config_curve_BN254.h&quot;</code><br />
</div>
<p><a href="fp4__BN254_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="structFP4__BN254.html">FP4_BN254</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">FP4 Structure - towered over two FP2. <a href="structFP4__BN254.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:aa83c0350e09a654e0219aff0dd9df1d0"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#aa83c0350e09a654e0219aff0dd9df1d0">FP4_BN254_iszilch</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x)</td></tr>
<tr class="memdesc:aa83c0350e09a654e0219aff0dd9df1d0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP4 equal to zero. <a href="#aa83c0350e09a654e0219aff0dd9df1d0">More...</a><br /></td></tr>
<tr class="separator:aa83c0350e09a654e0219aff0dd9df1d0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a56e15938762d9e097e31c258a4dcc74e"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#a56e15938762d9e097e31c258a4dcc74e">FP4_BN254_isunity</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x)</td></tr>
<tr class="memdesc:a56e15938762d9e097e31c258a4dcc74e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP4 equal to unity. <a href="#a56e15938762d9e097e31c258a4dcc74e">More...</a><br /></td></tr>
<tr class="separator:a56e15938762d9e097e31c258a4dcc74e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a521bbe885e3e4bbe780ce3e890b4dfda"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#a521bbe885e3e4bbe780ce3e890b4dfda">FP4_BN254_equals</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *y)</td></tr>
<tr class="memdesc:a521bbe885e3e4bbe780ce3e890b4dfda"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for equality of two FP4s. <a href="#a521bbe885e3e4bbe780ce3e890b4dfda">More...</a><br /></td></tr>
<tr class="separator:a521bbe885e3e4bbe780ce3e890b4dfda"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa3bdff6a286155a80e524f511180c3af"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#aa3bdff6a286155a80e524f511180c3af">FP4_BN254_isreal</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x)</td></tr>
<tr class="memdesc:aa3bdff6a286155a80e524f511180c3af"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP4 having only a real part and no imaginary part. <a href="#aa3bdff6a286155a80e524f511180c3af">More...</a><br /></td></tr>
<tr class="separator:aa3bdff6a286155a80e524f511180c3af"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae2e42bfea7bd6ddec3f00e783f6c47d9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#ae2e42bfea7bd6ddec3f00e783f6c47d9">FP4_BN254_from_FP2s</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x, <a class="el" href="structFP2__BN254.html">FP2_BN254</a> *a, <a class="el" href="structFP2__BN254.html">FP2_BN254</a> *b)</td></tr>
<tr class="memdesc:ae2e42bfea7bd6ddec3f00e783f6c47d9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP4 from two FP2s. <a href="#ae2e42bfea7bd6ddec3f00e783f6c47d9">More...</a><br /></td></tr>
<tr class="separator:ae2e42bfea7bd6ddec3f00e783f6c47d9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a667460a185bbd20c2fa67c3160384b48"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#a667460a185bbd20c2fa67c3160384b48">FP4_BN254_from_FP2</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x, <a class="el" href="structFP2__BN254.html">FP2_BN254</a> *a)</td></tr>
<tr class="memdesc:a667460a185bbd20c2fa67c3160384b48"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP4 from single FP2. <a href="#a667460a185bbd20c2fa67c3160384b48">More...</a><br /></td></tr>
<tr class="separator:a667460a185bbd20c2fa67c3160384b48"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aef4a30f1f025b0f81462fdbc403dcc84"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#aef4a30f1f025b0f81462fdbc403dcc84">FP4_BN254_from_FP2H</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x, <a class="el" href="structFP2__BN254.html">FP2_BN254</a> *a)</td></tr>
<tr class="memdesc:aef4a30f1f025b0f81462fdbc403dcc84"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP4 from single FP2. <a href="#aef4a30f1f025b0f81462fdbc403dcc84">More...</a><br /></td></tr>
<tr class="separator:aef4a30f1f025b0f81462fdbc403dcc84"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af38fb58d4385ea9bd816ca9702feb544"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#af38fb58d4385ea9bd816ca9702feb544">FP4_BN254_copy</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *y)</td></tr>
<tr class="memdesc:af38fb58d4385ea9bd816ca9702feb544"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy FP4 to another FP4. <a href="#af38fb58d4385ea9bd816ca9702feb544">More...</a><br /></td></tr>
<tr class="separator:af38fb58d4385ea9bd816ca9702feb544"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aed690456e48247df5176b15ec6a10371"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#aed690456e48247df5176b15ec6a10371">FP4_BN254_zero</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x)</td></tr>
<tr class="memdesc:aed690456e48247df5176b15ec6a10371"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP4 to zero. <a href="#aed690456e48247df5176b15ec6a10371">More...</a><br /></td></tr>
<tr class="separator:aed690456e48247df5176b15ec6a10371"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aaa60ecdd37b2b400d549ad8465a05425"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#aaa60ecdd37b2b400d549ad8465a05425">FP4_BN254_one</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x)</td></tr>
<tr class="memdesc:aaa60ecdd37b2b400d549ad8465a05425"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP4 to unity. <a href="#aaa60ecdd37b2b400d549ad8465a05425">More...</a><br /></td></tr>
<tr class="separator:aaa60ecdd37b2b400d549ad8465a05425"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab0c11f83f08c7eec9d17ce7fb52f3218"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#ab0c11f83f08c7eec9d17ce7fb52f3218">FP4_BN254_neg</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *y)</td></tr>
<tr class="memdesc:ab0c11f83f08c7eec9d17ce7fb52f3218"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negation of FP4. <a href="#ab0c11f83f08c7eec9d17ce7fb52f3218">More...</a><br /></td></tr>
<tr class="separator:ab0c11f83f08c7eec9d17ce7fb52f3218"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a651ab29c2558572bd267a1fc2e36001b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#a651ab29c2558572bd267a1fc2e36001b">FP4_BN254_conj</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *y)</td></tr>
<tr class="memdesc:a651ab29c2558572bd267a1fc2e36001b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conjugation of FP4. <a href="#a651ab29c2558572bd267a1fc2e36001b">More...</a><br /></td></tr>
<tr class="separator:a651ab29c2558572bd267a1fc2e36001b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a099f94de010153ffdbba4adcce26d280"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#a099f94de010153ffdbba4adcce26d280">FP4_BN254_nconj</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *y)</td></tr>
<tr class="memdesc:a099f94de010153ffdbba4adcce26d280"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negative conjugation of FP4. <a href="#a099f94de010153ffdbba4adcce26d280">More...</a><br /></td></tr>
<tr class="separator:a099f94de010153ffdbba4adcce26d280"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aaa51737d39e4d9ac302ff0bf29fbf3f2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#aaa51737d39e4d9ac302ff0bf29fbf3f2">FP4_BN254_add</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *y, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *z)</td></tr>
<tr class="memdesc:aaa51737d39e4d9ac302ff0bf29fbf3f2"><td class="mdescLeft">&#160;</td><td class="mdescRight">addition of two FP4s <a href="#aaa51737d39e4d9ac302ff0bf29fbf3f2">More...</a><br /></td></tr>
<tr class="separator:aaa51737d39e4d9ac302ff0bf29fbf3f2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab0a3d5b8a0a73cc5c759b47b4a32cf38"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#ab0a3d5b8a0a73cc5c759b47b4a32cf38">FP4_BN254_sub</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *y, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *z)</td></tr>
<tr class="memdesc:ab0a3d5b8a0a73cc5c759b47b4a32cf38"><td class="mdescLeft">&#160;</td><td class="mdescRight">subtraction of two FP4s <a href="#ab0a3d5b8a0a73cc5c759b47b4a32cf38">More...</a><br /></td></tr>
<tr class="separator:ab0a3d5b8a0a73cc5c759b47b4a32cf38"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0f24c196af5251895abf9c5a4bc18422"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#a0f24c196af5251895abf9c5a4bc18422">FP4_BN254_pmul</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *y, <a class="el" href="structFP2__BN254.html">FP2_BN254</a> *a)</td></tr>
<tr class="memdesc:a0f24c196af5251895abf9c5a4bc18422"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of an FP4 by an FP2. <a href="#a0f24c196af5251895abf9c5a4bc18422">More...</a><br /></td></tr>
<tr class="separator:a0f24c196af5251895abf9c5a4bc18422"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8dc66280e767d60554ef27a7f017b83d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#a8dc66280e767d60554ef27a7f017b83d">FP4_BN254_qmul</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *y, <a class="el" href="structFP__BN254.html">FP_BN254</a> *a)</td></tr>
<tr class="memdesc:a8dc66280e767d60554ef27a7f017b83d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of an FP4 by an FP. <a href="#a8dc66280e767d60554ef27a7f017b83d">More...</a><br /></td></tr>
<tr class="separator:a8dc66280e767d60554ef27a7f017b83d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aad333ebb28b11bfa722b301d4aa1502a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#aad333ebb28b11bfa722b301d4aa1502a">FP4_BN254_imul</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *y, int i)</td></tr>
<tr class="memdesc:aad333ebb28b11bfa722b301d4aa1502a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of an FP4 by a small integer. <a href="#aad333ebb28b11bfa722b301d4aa1502a">More...</a><br /></td></tr>
<tr class="separator:aad333ebb28b11bfa722b301d4aa1502a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a657fe6418be98756c9938a28722d8579"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#a657fe6418be98756c9938a28722d8579">FP4_BN254_sqr</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *y)</td></tr>
<tr class="memdesc:a657fe6418be98756c9938a28722d8579"><td class="mdescLeft">&#160;</td><td class="mdescRight">Squaring an FP4. <a href="#a657fe6418be98756c9938a28722d8579">More...</a><br /></td></tr>
<tr class="separator:a657fe6418be98756c9938a28722d8579"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3042df2a7a20fe04c8f1468ee8a278c3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#a3042df2a7a20fe04c8f1468ee8a278c3">FP4_BN254_mul</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *y, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *z)</td></tr>
<tr class="memdesc:a3042df2a7a20fe04c8f1468ee8a278c3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of two FP4s. <a href="#a3042df2a7a20fe04c8f1468ee8a278c3">More...</a><br /></td></tr>
<tr class="separator:a3042df2a7a20fe04c8f1468ee8a278c3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a41b78481da2b5651bb7068ef4ea0a7bd"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#a41b78481da2b5651bb7068ef4ea0a7bd">FP4_BN254_inv</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *y)</td></tr>
<tr class="memdesc:a41b78481da2b5651bb7068ef4ea0a7bd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Inverting an FP4. <a href="#a41b78481da2b5651bb7068ef4ea0a7bd">More...</a><br /></td></tr>
<tr class="separator:a41b78481da2b5651bb7068ef4ea0a7bd"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7571f07e93d30cdb0889413da6fe466c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#a7571f07e93d30cdb0889413da6fe466c">FP4_BN254_output</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x)</td></tr>
<tr class="memdesc:a7571f07e93d30cdb0889413da6fe466c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP4 to the console. <a href="#a7571f07e93d30cdb0889413da6fe466c">More...</a><br /></td></tr>
<tr class="separator:a7571f07e93d30cdb0889413da6fe466c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0c049d20e51167cbe3728585fcbd00af"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#a0c049d20e51167cbe3728585fcbd00af">FP4_BN254_rawoutput</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x)</td></tr>
<tr class="memdesc:a0c049d20e51167cbe3728585fcbd00af"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP4 to the console in raw form (for debugging) <a href="#a0c049d20e51167cbe3728585fcbd00af">More...</a><br /></td></tr>
<tr class="separator:a0c049d20e51167cbe3728585fcbd00af"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a40fa376337bdd88ca9cd2f0cd4e0c161"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#a40fa376337bdd88ca9cd2f0cd4e0c161">FP4_BN254_times_i</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x)</td></tr>
<tr class="memdesc:a40fa376337bdd88ca9cd2f0cd4e0c161"><td class="mdescLeft">&#160;</td><td class="mdescRight">multiplies an FP4 instance by irreducible polynomial sqrt(1+sqrt(-1)) <a href="#a40fa376337bdd88ca9cd2f0cd4e0c161">More...</a><br /></td></tr>
<tr class="separator:a40fa376337bdd88ca9cd2f0cd4e0c161"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a40e7899a49a34a23cc8bd7e60e84d2d7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#a40e7899a49a34a23cc8bd7e60e84d2d7">FP4_BN254_norm</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x)</td></tr>
<tr class="memdesc:a40e7899a49a34a23cc8bd7e60e84d2d7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Normalises the components of an FP4. <a href="#a40e7899a49a34a23cc8bd7e60e84d2d7">More...</a><br /></td></tr>
<tr class="separator:a40e7899a49a34a23cc8bd7e60e84d2d7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aeefd1224bd2e1f3937f588955fd7b226"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#aeefd1224bd2e1f3937f588955fd7b226">FP4_BN254_reduce</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x)</td></tr>
<tr class="memdesc:aeefd1224bd2e1f3937f588955fd7b226"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces all components of possibly unreduced FP4 mod Modulus. <a href="#aeefd1224bd2e1f3937f588955fd7b226">More...</a><br /></td></tr>
<tr class="separator:aeefd1224bd2e1f3937f588955fd7b226"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad25b69dfc45183709fc8fd69169bc548"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#ad25b69dfc45183709fc8fd69169bc548">FP4_BN254_pow</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *y, <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> b)</td></tr>
<tr class="memdesc:ad25b69dfc45183709fc8fd69169bc548"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP4 to the power of a BIG. <a href="#ad25b69dfc45183709fc8fd69169bc548">More...</a><br /></td></tr>
<tr class="separator:ad25b69dfc45183709fc8fd69169bc548"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8b41a10f71b94c63f53a74e20e8a6665"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#a8b41a10f71b94c63f53a74e20e8a6665">FP4_BN254_frob</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x, <a class="el" href="structFP2__BN254.html">FP2_BN254</a> *f)</td></tr>
<tr class="memdesc:a8b41a10f71b94c63f53a74e20e8a6665"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP4 to the power of the internal modulus p, using the Frobenius. <a href="#a8b41a10f71b94c63f53a74e20e8a6665">More...</a><br /></td></tr>
<tr class="separator:a8b41a10f71b94c63f53a74e20e8a6665"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a07c983031babda29ee8435990d7e224d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#a07c983031babda29ee8435990d7e224d">FP4_BN254_xtr_A</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *r, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *w, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *y, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *z)</td></tr>
<tr class="memdesc:a07c983031babda29ee8435990d7e224d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the XTR addition function r=w*x-conj(x)*y+z. <a href="#a07c983031babda29ee8435990d7e224d">More...</a><br /></td></tr>
<tr class="separator:a07c983031babda29ee8435990d7e224d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a06437b27677caa8a79725d08cb2d5a6f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#a06437b27677caa8a79725d08cb2d5a6f">FP4_BN254_xtr_D</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *r, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x)</td></tr>
<tr class="memdesc:a06437b27677caa8a79725d08cb2d5a6f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the XTR doubling function r=x^2-2*conj(x) <a href="#a06437b27677caa8a79725d08cb2d5a6f">More...</a><br /></td></tr>
<tr class="separator:a06437b27677caa8a79725d08cb2d5a6f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afa02d66a51bdfcd6c47c71348e546c20"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#afa02d66a51bdfcd6c47c71348e546c20">FP4_BN254_xtr_pow</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *r, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x, <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> b)</td></tr>
<tr class="memdesc:afa02d66a51bdfcd6c47c71348e546c20"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates FP4 trace of an FP12 raised to the power of a BIG number. <a href="#afa02d66a51bdfcd6c47c71348e546c20">More...</a><br /></td></tr>
<tr class="separator:afa02d66a51bdfcd6c47c71348e546c20"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4909b0bd405391c0899b5904548a751d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#a4909b0bd405391c0899b5904548a751d">FP4_BN254_xtr_pow2</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *r, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *c, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *d, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *e, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *f, <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> a, <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> b)</td></tr>
<tr class="memdesc:a4909b0bd405391c0899b5904548a751d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates FP4 trace of c^a.d^b, where c and d are derived from FP4 traces of FP12s. <a href="#a4909b0bd405391c0899b5904548a751d">More...</a><br /></td></tr>
<tr class="separator:a4909b0bd405391c0899b5904548a751d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aef07ce27faeeadde2ac9e8205bc1ce02"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#aef07ce27faeeadde2ac9e8205bc1ce02">FP4_BN254_cmove</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *y, int s)</td></tr>
<tr class="memdesc:aef07ce27faeeadde2ac9e8205bc1ce02"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional copy of FP4 number. <a href="#aef07ce27faeeadde2ac9e8205bc1ce02">More...</a><br /></td></tr>
<tr class="separator:aef07ce27faeeadde2ac9e8205bc1ce02"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac35aa5110e1a581fe6ad287efd7d08bc"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#ac35aa5110e1a581fe6ad287efd7d08bc">FP4_BN254_sqrt</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *r, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x)</td></tr>
<tr class="memdesc:ac35aa5110e1a581fe6ad287efd7d08bc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate square root of an FP4. <a href="#ac35aa5110e1a581fe6ad287efd7d08bc">More...</a><br /></td></tr>
<tr class="separator:ac35aa5110e1a581fe6ad287efd7d08bc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa0810ddc046fbd3612dbb9695725a25b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#aa0810ddc046fbd3612dbb9695725a25b">FP4_BN254_div_i</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x)</td></tr>
<tr class="memdesc:aa0810ddc046fbd3612dbb9695725a25b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide FP4 number by QNR. <a href="#aa0810ddc046fbd3612dbb9695725a25b">More...</a><br /></td></tr>
<tr class="separator:aa0810ddc046fbd3612dbb9695725a25b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a33faf9fd1b23e8a90a01f801256c23a8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#a33faf9fd1b23e8a90a01f801256c23a8">FP4_BN254_div_2i</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x)</td></tr>
<tr class="memdesc:a33faf9fd1b23e8a90a01f801256c23a8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP4 by QNR/2. <a href="#a33faf9fd1b23e8a90a01f801256c23a8">More...</a><br /></td></tr>
<tr class="separator:a33faf9fd1b23e8a90a01f801256c23a8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5bfff796a0a38114bb6ab4b22de789b6"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254_8h.html#a5bfff796a0a38114bb6ab4b22de789b6">FP4_BN254_div2</a> (<a class="el" href="structFP4__BN254.html">FP4_BN254</a> *x, <a class="el" href="structFP4__BN254.html">FP4_BN254</a> *y)</td></tr>
<tr class="memdesc:a5bfff796a0a38114bb6ab4b22de789b6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP4 by 2. <a href="#a5bfff796a0a38114bb6ab4b22de789b6">More...</a><br /></td></tr>
<tr class="separator:a5bfff796a0a38114bb6ab4b22de789b6"><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="aaa51737d39e4d9ac302ff0bf29fbf3f2"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aaa51737d39e4d9ac302ff0bf29fbf3f2">&#9670;&nbsp;</a></span>FP4_BN254_add()</h2>
<div class="memitem">
<div class="memproto">
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<td class="memname">void FP4_BN254_add </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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="structFP4__BN254.html">FP4_BN254</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="structFP4__BN254.html">FP4_BN254</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>FP4 instance, on exit = y+z </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">z</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="aef07ce27faeeadde2ac9e8205bc1ce02"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aef07ce27faeeadde2ac9e8205bc1ce02">&#9670;&nbsp;</a></span>FP4_BN254_cmove()</h2>
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<td class="memname">void FP4_BN254_cmove </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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="structFP4__BN254.html">FP4_BN254</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>s</em>&#160;</td>
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<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
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</div><div class="memdoc">
<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>FP4 instance, set to y if s!=0 </td></tr>
<tr><td class="paramname">y</td><td>another FP4 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="a651ab29c2558572bd267a1fc2e36001b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a651ab29c2558572bd267a1fc2e36001b">&#9670;&nbsp;</a></span>FP4_BN254_conj()</h2>
<div class="memitem">
<div class="memproto">
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<td class="memname">void FP4_BN254_conj </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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="structFP4__BN254.html">FP4_BN254</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>FP4 instance, on exit = conj(y) </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="af38fb58d4385ea9bd816ca9702feb544"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af38fb58d4385ea9bd816ca9702feb544">&#9670;&nbsp;</a></span>FP4_BN254_copy()</h2>
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<td class="memname">void FP4_BN254_copy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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="structFP4__BN254.html">FP4_BN254</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>FP4 instance, on exit = y </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance to be copied </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a5bfff796a0a38114bb6ab4b22de789b6"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5bfff796a0a38114bb6ab4b22de789b6">&#9670;&nbsp;</a></span>FP4_BN254_div2()</h2>
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<td class="memname">void FP4_BN254_div2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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="structFP4__BN254.html">FP4_BN254</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>FP4 instance, on exit = y/2 </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a33faf9fd1b23e8a90a01f801256c23a8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a33faf9fd1b23e8a90a01f801256c23a8">&#9670;&nbsp;</a></span>FP4_BN254_div_2i()</h2>
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<td class="memname">void FP4_BN254_div_2i </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Divide FP4 by the QNR/2 </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="aa0810ddc046fbd3612dbb9695725a25b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa0810ddc046fbd3612dbb9695725a25b">&#9670;&nbsp;</a></span>FP4_BN254_div_i()</h2>
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<div class="memproto">
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<td class="memname">void FP4_BN254_div_i </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Divide FP4 by the QNR </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a521bbe885e3e4bbe780ce3e890b4dfda"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a521bbe885e3e4bbe780ce3e890b4dfda">&#9670;&nbsp;</a></span>FP4_BN254_equals()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">int FP4_BN254_equals </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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="structFP4__BN254.html">FP4_BN254</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>FP4 instance to be compared </td></tr>
<tr><td class="paramname">y</td><td>FP4 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="a8b41a10f71b94c63f53a74e20e8a6665"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8b41a10f71b94c63f53a74e20e8a6665">&#9670;&nbsp;</a></span>FP4_BN254_frob()</h2>
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<td class="memname">void FP4_BN254_frob </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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__BN254.html">FP2_BN254</a> *&#160;</td>
<td class="paramname"><em>f</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>FP4 instance, on exit = x^p </td></tr>
<tr><td class="paramname">f</td><td>FP2 precalculated Frobenius constant </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a667460a185bbd20c2fa67c3160384b48"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a667460a185bbd20c2fa67c3160384b48">&#9670;&nbsp;</a></span>FP4_BN254_from_FP2()</h2>
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<td class="memname">void FP4_BN254_from_FP2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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__BN254.html">FP2_BN254</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>FP4 instance to be initialised </td></tr>
<tr><td class="paramname">a</td><td>FP2 to form real part of FP4 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="aef4a30f1f025b0f81462fdbc403dcc84"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aef4a30f1f025b0f81462fdbc403dcc84">&#9670;&nbsp;</a></span>FP4_BN254_from_FP2H()</h2>
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<td class="memname">void FP4_BN254_from_FP2H </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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__BN254.html">FP2_BN254</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>real part is set to zero </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance to be initialised </td></tr>
<tr><td class="paramname">a</td><td>FP2 to form imaginary part of FP4 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ae2e42bfea7bd6ddec3f00e783f6c47d9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae2e42bfea7bd6ddec3f00e783f6c47d9">&#9670;&nbsp;</a></span>FP4_BN254_from_FP2s()</h2>
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<td class="memname">void FP4_BN254_from_FP2s </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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__BN254.html">FP2_BN254</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="structFP2__BN254.html">FP2_BN254</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>FP4 instance to be initialised </td></tr>
<tr><td class="paramname">a</td><td>FP2 to form real part of FP4 </td></tr>
<tr><td class="paramname">b</td><td>FP2 to form imaginary part of FP4 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="aad333ebb28b11bfa722b301d4aa1502a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aad333ebb28b11bfa722b301d4aa1502a">&#9670;&nbsp;</a></span>FP4_BN254_imul()</h2>
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<td class="memname">void FP4_BN254_imul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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="structFP4__BN254.html">FP4_BN254</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>FP4 instance, on exit = y*i </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">i</td><td>an integer </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a41b78481da2b5651bb7068ef4ea0a7bd"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a41b78481da2b5651bb7068ef4ea0a7bd">&#9670;&nbsp;</a></span>FP4_BN254_inv()</h2>
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<td class="memname">void FP4_BN254_inv </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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="structFP4__BN254.html">FP4_BN254</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>FP4 instance, on exit = 1/y </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="aa3bdff6a286155a80e524f511180c3af"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa3bdff6a286155a80e524f511180c3af">&#9670;&nbsp;</a></span>FP4_BN254_isreal()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">int FP4_BN254_isreal </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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>FP4 number to be tested </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 if real, else returns 0 </dd></dl>
</div>
</div>
<a id="a56e15938762d9e097e31c258a4dcc74e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a56e15938762d9e097e31c258a4dcc74e">&#9670;&nbsp;</a></span>FP4_BN254_isunity()</h2>
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<td class="memname">int FP4_BN254_isunity </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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>FP4 number to be tested </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 if unity, else returns 0 </dd></dl>
</div>
</div>
<a id="aa83c0350e09a654e0219aff0dd9df1d0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa83c0350e09a654e0219aff0dd9df1d0">&#9670;&nbsp;</a></span>FP4_BN254_iszilch()</h2>
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<div class="memproto">
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<td class="memname">int FP4_BN254_iszilch </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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>FP4 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="a3042df2a7a20fe04c8f1468ee8a278c3"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3042df2a7a20fe04c8f1468ee8a278c3">&#9670;&nbsp;</a></span>FP4_BN254_mul()</h2>
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<td class="memname">void FP4_BN254_mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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="structFP4__BN254.html">FP4_BN254</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="structFP4__BN254.html">FP4_BN254</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>FP4 instance, on exit = y*z </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">z</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a099f94de010153ffdbba4adcce26d280"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a099f94de010153ffdbba4adcce26d280">&#9670;&nbsp;</a></span>FP4_BN254_nconj()</h2>
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<td class="memname">void FP4_BN254_nconj </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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="structFP4__BN254.html">FP4_BN254</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>FP4 instance, on exit = -conj(y) </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ab0c11f83f08c7eec9d17ce7fb52f3218"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab0c11f83f08c7eec9d17ce7fb52f3218">&#9670;&nbsp;</a></span>FP4_BN254_neg()</h2>
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<td class="memname">void FP4_BN254_neg </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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="structFP4__BN254.html">FP4_BN254</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>FP4 instance, on exit = -y </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a40e7899a49a34a23cc8bd7e60e84d2d7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a40e7899a49a34a23cc8bd7e60e84d2d7">&#9670;&nbsp;</a></span>FP4_BN254_norm()</h2>
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<td class="memname">void FP4_BN254_norm </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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>FP4 instance to be normalised </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="aaa60ecdd37b2b400d549ad8465a05425"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aaa60ecdd37b2b400d549ad8465a05425">&#9670;&nbsp;</a></span>FP4_BN254_one()</h2>
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<td class="memname">void FP4_BN254_one </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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>FP4 instance to be set to one </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a7571f07e93d30cdb0889413da6fe466c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7571f07e93d30cdb0889413da6fe466c">&#9670;&nbsp;</a></span>FP4_BN254_output()</h2>
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<td class="memname">void FP4_BN254_output </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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>FP4 instance to be printed </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a0f24c196af5251895abf9c5a4bc18422"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0f24c196af5251895abf9c5a4bc18422">&#9670;&nbsp;</a></span>FP4_BN254_pmul()</h2>
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<td class="memname">void FP4_BN254_pmul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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="structFP4__BN254.html">FP4_BN254</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__BN254.html">FP2_BN254</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">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = y*a </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">a</td><td>FP2 multiplier </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ad25b69dfc45183709fc8fd69169bc548"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad25b69dfc45183709fc8fd69169bc548">&#9670;&nbsp;</a></span>FP4_BN254_pow()</h2>
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<td class="memname">void FP4_BN254_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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="structFP4__BN254.html">FP4_BN254</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__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</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>FP4 instance, on exit = y^b </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">b</td><td>BIG number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a8dc66280e767d60554ef27a7f017b83d">&#9670;&nbsp;</a></span>FP4_BN254_qmul()</h2>
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<td class="memname">void FP4_BN254_qmul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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="structFP4__BN254.html">FP4_BN254</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__BN254.html">FP_BN254</a> *&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
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<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = y*a </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">a</td><td>FP multiplier </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a0c049d20e51167cbe3728585fcbd00af"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0c049d20e51167cbe3728585fcbd00af">&#9670;&nbsp;</a></span>FP4_BN254_rawoutput()</h2>
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<td class="memname">void FP4_BN254_rawoutput </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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>FP4 instance to be printed </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="aeefd1224bd2e1f3937f588955fd7b226"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aeefd1224bd2e1f3937f588955fd7b226">&#9670;&nbsp;</a></span>FP4_BN254_reduce()</h2>
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<td class="memname">void FP4_BN254_reduce </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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>FP4 instance, on exit reduced mod Modulus </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a657fe6418be98756c9938a28722d8579"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a657fe6418be98756c9938a28722d8579">&#9670;&nbsp;</a></span>FP4_BN254_sqr()</h2>
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<td class="memname">void FP4_BN254_sqr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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="structFP4__BN254.html">FP4_BN254</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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</table>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = y^2 </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ac35aa5110e1a581fe6ad287efd7d08bc"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac35aa5110e1a581fe6ad287efd7d08bc">&#9670;&nbsp;</a></span>FP4_BN254_sqrt()</h2>
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<td class="memname">int FP4_BN254_sqrt </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</a> *&#160;</td>
<td class="paramname"><em>x</em>&#160;</td>
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<td></td>
<td>)</td>
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<p>Square root </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>FP4 instance, on exit = sqrt(x) </td></tr>
<tr><td class="paramname">x</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 x is a QR, otherwise 0 </dd></dl>
</div>
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<a id="ab0a3d5b8a0a73cc5c759b47b4a32cf38"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab0a3d5b8a0a73cc5c759b47b4a32cf38">&#9670;&nbsp;</a></span>FP4_BN254_sub()</h2>
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<td class="memname">void FP4_BN254_sub </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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="structFP4__BN254.html">FP4_BN254</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="structFP4__BN254.html">FP4_BN254</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>FP4 instance, on exit = y-z </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">z</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a40fa376337bdd88ca9cd2f0cd4e0c161"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a40fa376337bdd88ca9cd2f0cd4e0c161">&#9670;&nbsp;</a></span>FP4_BN254_times_i()</h2>
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<td class="memname">void FP4_BN254_times_i </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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>FP4 instance, on exit = sqrt(1+sqrt(-1)*x </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a07c983031babda29ee8435990d7e224d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a07c983031babda29ee8435990d7e224d">&#9670;&nbsp;</a></span>FP4_BN254_xtr_A()</h2>
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<td class="memname">void FP4_BN254_xtr_A </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</a> *&#160;</td>
<td class="paramname"><em>w</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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="structFP4__BN254.html">FP4_BN254</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="structFP4__BN254.html">FP4_BN254</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">r</td><td>FP4 instance, on exit = w*x-conj(x)*y+z </td></tr>
<tr><td class="paramname">w</td><td>FP4 instance </td></tr>
<tr><td class="paramname">x</td><td>FP4 instance </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">z</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a06437b27677caa8a79725d08cb2d5a6f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a06437b27677caa8a79725d08cb2d5a6f">&#9670;&nbsp;</a></span>FP4_BN254_xtr_D()</h2>
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<td class="memname">void FP4_BN254_xtr_D </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</a> *&#160;</td>
<td class="paramname"><em>x</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>FP4 instance, on exit = x^2-2*conj(x) </td></tr>
<tr><td class="paramname">x</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="afa02d66a51bdfcd6c47c71348e546c20"></a>
<h2 class="memtitle"><span class="permalink"><a href="#afa02d66a51bdfcd6c47c71348e546c20">&#9670;&nbsp;</a></span>FP4_BN254_xtr_pow()</h2>
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<td class="memname">void FP4_BN254_xtr_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</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">
<p>XTR single exponentiation </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>FP4 instance, on exit = trace(w^b) </td></tr>
<tr><td class="paramname">x</td><td>FP4 instance, trace of an FP12 w </td></tr>
<tr><td class="paramname">b</td><td>BIG number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a4909b0bd405391c0899b5904548a751d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4909b0bd405391c0899b5904548a751d">&#9670;&nbsp;</a></span>FP4_BN254_xtr_pow2()</h2>
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<td class="memname">void FP4_BN254_xtr_pow2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</a> *&#160;</td>
<td class="paramname"><em>c</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</a> *&#160;</td>
<td class="paramname"><em>d</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</a> *&#160;</td>
<td class="paramname"><em>e</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</a> *&#160;</td>
<td class="paramname"><em>f</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</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__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</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">
<p>XTR double exponentiation Assumes c=tr(x^m), d=tr(x^n), e=tr(x^(m-n)), f=tr(x^(m-2n)) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>FP4 instance, on exit = trace(c^a.d^b) </td></tr>
<tr><td class="paramname">c</td><td>FP4 instance, trace of an FP12 </td></tr>
<tr><td class="paramname">d</td><td>FP4 instance, trace of an FP12 </td></tr>
<tr><td class="paramname">e</td><td>FP4 instance, trace of an FP12 </td></tr>
<tr><td class="paramname">f</td><td>FP4 instance, trace of an FP12 </td></tr>
<tr><td class="paramname">a</td><td>BIG number </td></tr>
<tr><td class="paramname">b</td><td>BIG number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="aed690456e48247df5176b15ec6a10371"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aed690456e48247df5176b15ec6a10371">&#9670;&nbsp;</a></span>FP4_BN254_zero()</h2>
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<tr>
<td class="memname">void FP4_BN254_zero </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BN254.html">FP4_BN254</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>FP4 instance to be set to zero </td></tr>
</table>
</dd>
</dl>
</div>
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