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<a href="#nested-classes">Data Structures</a> &#124;
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<div class="title">fp12_BLS383.h File Reference</div> </div>
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<p>FP12 Header File.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &quot;<a class="el" href="fp4__BLS383_8h_source.html">fp4_BLS383.h</a>&quot;</code><br />
</div>
<p><a href="fp12__BLS383_8h_source.html">Go to the source code of this file.</a></p>
<table class="memberdecls">
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Data Structures</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">FP12 Structure - towered over three FP4. <a href="structFP12__BLS383.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a9fa3f1ff00723a0f47ab8dc6d6626aa8"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#a9fa3f1ff00723a0f47ab8dc6d6626aa8">FP12_BLS383_iszilch</a> (<a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x)</td></tr>
<tr class="memdesc:a9fa3f1ff00723a0f47ab8dc6d6626aa8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP12 equal to zero. <a href="#a9fa3f1ff00723a0f47ab8dc6d6626aa8">More...</a><br /></td></tr>
<tr class="separator:a9fa3f1ff00723a0f47ab8dc6d6626aa8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abc227ee06b756f509b255c555f1b9382"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#abc227ee06b756f509b255c555f1b9382">FP12_BLS383_isunity</a> (<a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x)</td></tr>
<tr class="memdesc:abc227ee06b756f509b255c555f1b9382"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP12 equal to unity. <a href="#abc227ee06b756f509b255c555f1b9382">More...</a><br /></td></tr>
<tr class="separator:abc227ee06b756f509b255c555f1b9382"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac86ce01fd4b23f50d06e15aac944a620"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#ac86ce01fd4b23f50d06e15aac944a620">FP12_BLS383_copy</a> (<a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x, <a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *y)</td></tr>
<tr class="memdesc:ac86ce01fd4b23f50d06e15aac944a620"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy FP12 to another FP12. <a href="#ac86ce01fd4b23f50d06e15aac944a620">More...</a><br /></td></tr>
<tr class="separator:ac86ce01fd4b23f50d06e15aac944a620"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a987840d248437811f7375438a52f16fd"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#a987840d248437811f7375438a52f16fd">FP12_BLS383_one</a> (<a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x)</td></tr>
<tr class="memdesc:a987840d248437811f7375438a52f16fd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP12 to unity. <a href="#a987840d248437811f7375438a52f16fd">More...</a><br /></td></tr>
<tr class="separator:a987840d248437811f7375438a52f16fd"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a01b30d8c770692a3f5717e8be61d34b7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#a01b30d8c770692a3f5717e8be61d34b7">FP12_BLS383_zero</a> (<a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x)</td></tr>
<tr class="memdesc:a01b30d8c770692a3f5717e8be61d34b7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP12 to zero. <a href="#a01b30d8c770692a3f5717e8be61d34b7">More...</a><br /></td></tr>
<tr class="separator:a01b30d8c770692a3f5717e8be61d34b7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a06b3b2579e39e313860b7f2fb42c4999"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#a06b3b2579e39e313860b7f2fb42c4999">FP12_BLS383_equals</a> (<a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x, <a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *y)</td></tr>
<tr class="memdesc:a06b3b2579e39e313860b7f2fb42c4999"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for equality of two FP12s. <a href="#a06b3b2579e39e313860b7f2fb42c4999">More...</a><br /></td></tr>
<tr class="separator:a06b3b2579e39e313860b7f2fb42c4999"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8d04118042cad88450c6136e4afce5ba"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#a8d04118042cad88450c6136e4afce5ba">FP12_BLS383_conj</a> (<a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x, <a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *y)</td></tr>
<tr class="memdesc:a8d04118042cad88450c6136e4afce5ba"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conjugation of FP12. <a href="#a8d04118042cad88450c6136e4afce5ba">More...</a><br /></td></tr>
<tr class="separator:a8d04118042cad88450c6136e4afce5ba"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8d4d53a5dfc244e94290b5ddfadaa72b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#a8d4d53a5dfc244e94290b5ddfadaa72b">FP12_BLS383_from_FP4</a> (<a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x, <a class="el" href="structFP4__BLS383.html">FP4_BLS383</a> *a)</td></tr>
<tr class="memdesc:a8d4d53a5dfc244e94290b5ddfadaa72b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP12 from single FP4. <a href="#a8d4d53a5dfc244e94290b5ddfadaa72b">More...</a><br /></td></tr>
<tr class="separator:a8d4d53a5dfc244e94290b5ddfadaa72b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a20ea589c848b822a7dcb09d1d1532dc2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#a20ea589c848b822a7dcb09d1d1532dc2">FP12_BLS383_from_FP4s</a> (<a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x, <a class="el" href="structFP4__BLS383.html">FP4_BLS383</a> *a, <a class="el" href="structFP4__BLS383.html">FP4_BLS383</a> *b, <a class="el" href="structFP4__BLS383.html">FP4_BLS383</a> *c)</td></tr>
<tr class="memdesc:a20ea589c848b822a7dcb09d1d1532dc2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP12 from three FP4s. <a href="#a20ea589c848b822a7dcb09d1d1532dc2">More...</a><br /></td></tr>
<tr class="separator:a20ea589c848b822a7dcb09d1d1532dc2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5df48e9eb04b95975186c92f968aba4d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#a5df48e9eb04b95975186c92f968aba4d">FP12_BLS383_usqr</a> (<a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x, <a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *y)</td></tr>
<tr class="memdesc:a5df48e9eb04b95975186c92f968aba4d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Squaring of an FP12 in "unitary" form. <a href="#a5df48e9eb04b95975186c92f968aba4d">More...</a><br /></td></tr>
<tr class="separator:a5df48e9eb04b95975186c92f968aba4d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a008948ad25e2bb2e768b46877e2a4700"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#a008948ad25e2bb2e768b46877e2a4700">FP12_BLS383_sqr</a> (<a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x, <a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *y)</td></tr>
<tr class="memdesc:a008948ad25e2bb2e768b46877e2a4700"><td class="mdescLeft">&#160;</td><td class="mdescRight">Squaring an FP12. <a href="#a008948ad25e2bb2e768b46877e2a4700">More...</a><br /></td></tr>
<tr class="separator:a008948ad25e2bb2e768b46877e2a4700"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a388d287b18dcb4c6102c63a40ad69fb3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#a388d287b18dcb4c6102c63a40ad69fb3">FP12_BLS383_smul</a> (<a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x, <a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *y)</td></tr>
<tr class="memdesc:a388d287b18dcb4c6102c63a40ad69fb3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast multiplication of two sparse FP12s that arises from ATE pairing line functions. <a href="#a388d287b18dcb4c6102c63a40ad69fb3">More...</a><br /></td></tr>
<tr class="separator:a388d287b18dcb4c6102c63a40ad69fb3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a249988a4d7673e6407c06ed3ad707791"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#a249988a4d7673e6407c06ed3ad707791">FP12_BLS383_ssmul</a> (<a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x, <a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *y)</td></tr>
<tr class="memdesc:a249988a4d7673e6407c06ed3ad707791"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast multiplication of what may be sparse multiplicands. <a href="#a249988a4d7673e6407c06ed3ad707791">More...</a><br /></td></tr>
<tr class="separator:a249988a4d7673e6407c06ed3ad707791"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9d2dff8ebd26a170793b6437241e7eaf"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#a9d2dff8ebd26a170793b6437241e7eaf">FP12_BLS383_mul</a> (<a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x, <a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *y)</td></tr>
<tr class="memdesc:a9d2dff8ebd26a170793b6437241e7eaf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Full unconditional Multiplication of two FP12s. <a href="#a9d2dff8ebd26a170793b6437241e7eaf">More...</a><br /></td></tr>
<tr class="separator:a9d2dff8ebd26a170793b6437241e7eaf"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a437c5edb6359f9fe002af258ab96a552"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#a437c5edb6359f9fe002af258ab96a552">FP12_BLS383_inv</a> (<a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x, <a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *y)</td></tr>
<tr class="memdesc:a437c5edb6359f9fe002af258ab96a552"><td class="mdescLeft">&#160;</td><td class="mdescRight">Inverting an FP12. <a href="#a437c5edb6359f9fe002af258ab96a552">More...</a><br /></td></tr>
<tr class="separator:a437c5edb6359f9fe002af258ab96a552"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a17e381b8b56bae08a9f61cfb2ca43da8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#a17e381b8b56bae08a9f61cfb2ca43da8">FP12_BLS383_pow</a> (<a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *r, <a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x, <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> b)</td></tr>
<tr class="memdesc:a17e381b8b56bae08a9f61cfb2ca43da8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP12 to the power of a BIG. <a href="#a17e381b8b56bae08a9f61cfb2ca43da8">More...</a><br /></td></tr>
<tr class="separator:a17e381b8b56bae08a9f61cfb2ca43da8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a100f4a935293cf6c5f34b9e36521d023"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#a100f4a935293cf6c5f34b9e36521d023">FP12_BLS383_pinpow</a> (<a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x, int i, int b)</td></tr>
<tr class="memdesc:a100f4a935293cf6c5f34b9e36521d023"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP12 instance x to a small integer power, side-channel resistant. <a href="#a100f4a935293cf6c5f34b9e36521d023">More...</a><br /></td></tr>
<tr class="separator:a100f4a935293cf6c5f34b9e36521d023"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a29f39c72ae9241846abbfee5bf4f763e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#a29f39c72ae9241846abbfee5bf4f763e">FP12_BLS383_compow</a> (<a class="el" href="structFP4__BLS383.html">FP4_BLS383</a> *c, <a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x, <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> e, <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> r)</td></tr>
<tr class="memdesc:a29f39c72ae9241846abbfee5bf4f763e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP12 instance x to a BIG power, compressed to FP4. <a href="#a29f39c72ae9241846abbfee5bf4f763e">More...</a><br /></td></tr>
<tr class="separator:a29f39c72ae9241846abbfee5bf4f763e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a78293c32d04f7d2e055c932750bef185"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#a78293c32d04f7d2e055c932750bef185">FP12_BLS383_pow4</a> (<a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *r, <a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x, <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> *b)</td></tr>
<tr class="memdesc:a78293c32d04f7d2e055c932750bef185"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate x[0]^b[0].x[1]^b[1].x[2]^b[2].x[3]^b[3], side-channel resistant. <a href="#a78293c32d04f7d2e055c932750bef185">More...</a><br /></td></tr>
<tr class="separator:a78293c32d04f7d2e055c932750bef185"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a91e614d885a742b734d0801552315e23"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#a91e614d885a742b734d0801552315e23">FP12_BLS383_frob</a> (<a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x, <a class="el" href="structFP2__BLS383.html">FP2_BLS383</a> *f)</td></tr>
<tr class="memdesc:a91e614d885a742b734d0801552315e23"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP12 to the power of the internal modulus p, using the Frobenius. <a href="#a91e614d885a742b734d0801552315e23">More...</a><br /></td></tr>
<tr class="separator:a91e614d885a742b734d0801552315e23"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a56cdbce65338447d495d15037768cc77"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#a56cdbce65338447d495d15037768cc77">FP12_BLS383_reduce</a> (<a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x)</td></tr>
<tr class="memdesc:a56cdbce65338447d495d15037768cc77"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces all components of possibly unreduced FP12 mod Modulus. <a href="#a56cdbce65338447d495d15037768cc77">More...</a><br /></td></tr>
<tr class="separator:a56cdbce65338447d495d15037768cc77"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1d09ea7c64072b5f0de3539c1d0f8f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#a1d09ea7c64072b5f0de3539c1d0f8f0f">FP12_BLS383_norm</a> (<a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x)</td></tr>
<tr class="memdesc:a1d09ea7c64072b5f0de3539c1d0f8f0f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Normalises the components of an FP12. <a href="#a1d09ea7c64072b5f0de3539c1d0f8f0f">More...</a><br /></td></tr>
<tr class="separator:a1d09ea7c64072b5f0de3539c1d0f8f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2564f890b1f9e8df817ab7a52a9f7be8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#a2564f890b1f9e8df817ab7a52a9f7be8">FP12_BLS383_output</a> (<a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x)</td></tr>
<tr class="memdesc:a2564f890b1f9e8df817ab7a52a9f7be8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP12 to the console. <a href="#a2564f890b1f9e8df817ab7a52a9f7be8">More...</a><br /></td></tr>
<tr class="separator:a2564f890b1f9e8df817ab7a52a9f7be8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4114fa7ceb9d2c3b62ff4b35d878c5de"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#a4114fa7ceb9d2c3b62ff4b35d878c5de">FP12_BLS383_toOctet</a> (<a class="el" href="structoctet.html">octet</a> *S, <a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x)</td></tr>
<tr class="memdesc:a4114fa7ceb9d2c3b62ff4b35d878c5de"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP12 instance to an octet string. <a href="#a4114fa7ceb9d2c3b62ff4b35d878c5de">More...</a><br /></td></tr>
<tr class="separator:a4114fa7ceb9d2c3b62ff4b35d878c5de"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a872cca1adcbfc12d942b545041d5c22c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#a872cca1adcbfc12d942b545041d5c22c">FP12_BLS383_fromOctet</a> (<a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x, <a class="el" href="structoctet.html">octet</a> *S)</td></tr>
<tr class="memdesc:a872cca1adcbfc12d942b545041d5c22c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Creates an FP12 instance from an octet string. <a href="#a872cca1adcbfc12d942b545041d5c22c">More...</a><br /></td></tr>
<tr class="separator:a872cca1adcbfc12d942b545041d5c22c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a61842c14491370ab373eaa836abbf113"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#a61842c14491370ab373eaa836abbf113">FP12_BLS383_trace</a> (<a class="el" href="structFP4__BLS383.html">FP4_BLS383</a> *t, <a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x)</td></tr>
<tr class="memdesc:a61842c14491370ab373eaa836abbf113"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate the trace of an FP12. <a href="#a61842c14491370ab373eaa836abbf113">More...</a><br /></td></tr>
<tr class="separator:a61842c14491370ab373eaa836abbf113"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9008d7bfdff23d15c79b4cf174db438b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#a9008d7bfdff23d15c79b4cf174db438b">FP12_BLS383_cmove</a> (<a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *x, <a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *y, int s)</td></tr>
<tr class="memdesc:a9008d7bfdff23d15c79b4cf174db438b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional copy of FP12 number. <a href="#a9008d7bfdff23d15c79b4cf174db438b">More...</a><br /></td></tr>
<tr class="separator:a9008d7bfdff23d15c79b4cf174db438b"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
Variables</h2></td></tr>
<tr class="memitem:acc6ace24c297f3d1bbd70c10f12c8f40"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#acc6ace24c297f3d1bbd70c10f12c8f40">Fra_BLS383</a></td></tr>
<tr class="separator:acc6ace24c297f3d1bbd70c10f12c8f40"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa2a080445c52be753695d6abd26a6f0f"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS383_8h.html#aa2a080445c52be753695d6abd26a6f0f">Frb_BLS383</a></td></tr>
<tr class="separator:aa2a080445c52be753695d6abd26a6f0f"><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="a9008d7bfdff23d15c79b4cf174db438b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9008d7bfdff23d15c79b4cf174db438b">&#9670;&nbsp;</a></span>FP12_BLS383_cmove()</h2>
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<td class="memname">void FP12_BLS383_cmove </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</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="structFP12__BLS383.html">FP12_BLS383</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>
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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>FP12 instance, set to y if s!=0 </td></tr>
<tr><td class="paramname">y</td><td>another FP12 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="a29f39c72ae9241846abbfee5bf4f763e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a29f39c72ae9241846abbfee5bf4f763e">&#9670;&nbsp;</a></span>FP12_BLS383_compow()</h2>
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<td class="memname">void FP12_BLS383_compow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS383.html">FP4_BLS383</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="structFP12__BLS383.html">FP12_BLS383</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a>&#160;</td>
<td class="paramname"><em>e</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a>&#160;</td>
<td class="paramname"><em>r</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">c</td><td>FP4 instance, on exit = x^(e mod r) as FP4 </td></tr>
<tr><td class="paramname">x</td><td>FP12 input </td></tr>
<tr><td class="paramname">e</td><td>BIG exponent </td></tr>
<tr><td class="paramname">r</td><td>BIG group order </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a8d04118042cad88450c6136e4afce5ba"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8d04118042cad88450c6136e4afce5ba">&#9670;&nbsp;</a></span>FP12_BLS383_conj()</h2>
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<td class="memname">void FP12_BLS383_conj </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</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="structFP12__BLS383.html">FP12_BLS383</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>
</div><div class="memdoc">
<p>If y=(a,b,c) (where a,b,c are its three FP4 components) on exit x=(conj(a),-conj(b),conj(c)) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP12 instance, on exit = conj(y) </td></tr>
<tr><td class="paramname">y</td><td>FP12 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ac86ce01fd4b23f50d06e15aac944a620"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac86ce01fd4b23f50d06e15aac944a620">&#9670;&nbsp;</a></span>FP12_BLS383_copy()</h2>
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<td class="memname">void FP12_BLS383_copy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</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="structFP12__BLS383.html">FP12_BLS383</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>FP12 instance, on exit = y </td></tr>
<tr><td class="paramname">y</td><td>FP12 instance to be copied </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a06b3b2579e39e313860b7f2fb42c4999"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a06b3b2579e39e313860b7f2fb42c4999">&#9670;&nbsp;</a></span>FP12_BLS383_equals()</h2>
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<td class="memname">int FP12_BLS383_equals </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</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="structFP12__BLS383.html">FP12_BLS383</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>FP12 instance to be compared </td></tr>
<tr><td class="paramname">y</td><td>FP12 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="a91e614d885a742b734d0801552315e23"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a91e614d885a742b734d0801552315e23">&#9670;&nbsp;</a></span>FP12_BLS383_frob()</h2>
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<td class="memname">void FP12_BLS383_frob </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</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__BLS383.html">FP2_BLS383</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>FP12 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="a8d4d53a5dfc244e94290b5ddfadaa72b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8d4d53a5dfc244e94290b5ddfadaa72b">&#9670;&nbsp;</a></span>FP12_BLS383_from_FP4()</h2>
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<td class="memname">void FP12_BLS383_from_FP4 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</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__BLS383.html">FP4_BLS383</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>Sets first FP4 component of an FP12, other components set to zero </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP12 instance to be initialised </td></tr>
<tr><td class="paramname">a</td><td>FP4 to form first part of FP4 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a20ea589c848b822a7dcb09d1d1532dc2"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a20ea589c848b822a7dcb09d1d1532dc2">&#9670;&nbsp;</a></span>FP12_BLS383_from_FP4s()</h2>
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<td class="memname">void FP12_BLS383_from_FP4s </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</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__BLS383.html">FP4_BLS383</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="structFP4__BLS383.html">FP4_BLS383</a> *&#160;</td>
<td class="paramname"><em>b</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS383.html">FP4_BLS383</a> *&#160;</td>
<td class="paramname"><em>c</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>FP12 instance to be initialised </td></tr>
<tr><td class="paramname">a</td><td>FP4 to form first part of FP12 </td></tr>
<tr><td class="paramname">b</td><td>FP4 to form second part of FP12 </td></tr>
<tr><td class="paramname">c</td><td>FP4 to form third part of FP12 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a872cca1adcbfc12d942b545041d5c22c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a872cca1adcbfc12d942b545041d5c22c">&#9670;&nbsp;</a></span>FP12_BLS383_fromOctet()</h2>
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<td class="memname">void FP12_BLS383_fromOctet </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</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="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>S</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>De-serializes the components of an FP12 to create an FP12 from big-endian base 256 components. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP12 instance to be created from an octet string </td></tr>
<tr><td class="paramname">S</td><td>input octet string </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a437c5edb6359f9fe002af258ab96a552"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a437c5edb6359f9fe002af258ab96a552">&#9670;&nbsp;</a></span>FP12_BLS383_inv()</h2>
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<td class="memname">void FP12_BLS383_inv </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</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="structFP12__BLS383.html">FP12_BLS383</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>FP12 instance, on exit = 1/y </td></tr>
<tr><td class="paramname">y</td><td>FP12 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="abc227ee06b756f509b255c555f1b9382"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abc227ee06b756f509b255c555f1b9382">&#9670;&nbsp;</a></span>FP12_BLS383_isunity()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP12_BLS383_isunity </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</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>FP12 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="a9fa3f1ff00723a0f47ab8dc6d6626aa8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9fa3f1ff00723a0f47ab8dc6d6626aa8">&#9670;&nbsp;</a></span>FP12_BLS383_iszilch()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP12_BLS383_iszilch </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</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>FP12 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="a9d2dff8ebd26a170793b6437241e7eaf"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9d2dff8ebd26a170793b6437241e7eaf">&#9670;&nbsp;</a></span>FP12_BLS383_mul()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP12_BLS383_mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</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="structFP12__BLS383.html">FP12_BLS383</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>FP12 instance, on exit = x*y </td></tr>
<tr><td class="paramname">y</td><td>FP12 instance, the multiplier </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a1d09ea7c64072b5f0de3539c1d0f8f0f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1d09ea7c64072b5f0de3539c1d0f8f0f">&#9670;&nbsp;</a></span>FP12_BLS383_norm()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP12_BLS383_norm </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</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>FP12 instance to be normalised </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a987840d248437811f7375438a52f16fd"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a987840d248437811f7375438a52f16fd">&#9670;&nbsp;</a></span>FP12_BLS383_one()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP12_BLS383_one </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</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>FP12 instance to be set to one </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a2564f890b1f9e8df817ab7a52a9f7be8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2564f890b1f9e8df817ab7a52a9f7be8">&#9670;&nbsp;</a></span>FP12_BLS383_output()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP12_BLS383_output </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</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>FP12 instance to be printed </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a100f4a935293cf6c5f34b9e36521d023"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a100f4a935293cf6c5f34b9e36521d023">&#9670;&nbsp;</a></span>FP12_BLS383_pinpow()</h2>
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<div class="memproto">
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<td class="memname">void FP12_BLS383_pinpow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>i</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#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>FP12 instance, on exit = x^i </td></tr>
<tr><td class="paramname">i</td><td>small integer exponent </td></tr>
<tr><td class="paramname">b</td><td>maximum number of bits in exponent </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a17e381b8b56bae08a9f61cfb2ca43da8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a17e381b8b56bae08a9f61cfb2ca43da8">&#9670;&nbsp;</a></span>FP12_BLS383_pow()</h2>
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<div class="memproto">
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<td class="memname">void FP12_BLS383_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</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="structFP12__BLS383.html">FP12_BLS383</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a>&#160;</td>
<td class="paramname"><em>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">r</td><td>FP12 instance, on exit = y^b </td></tr>
<tr><td class="paramname">x</td><td>FP12 instance </td></tr>
<tr><td class="paramname">b</td><td>BIG number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a78293c32d04f7d2e055c932750bef185"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a78293c32d04f7d2e055c932750bef185">&#9670;&nbsp;</a></span>FP12_BLS383_pow4()</h2>
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<div class="memproto">
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<td class="memname">void FP12_BLS383_pow4 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</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="structFP12__BLS383.html">FP12_BLS383</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> *&#160;</td>
<td class="paramname"><em>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">r</td><td>FP12 instance, on exit = x[0]^b[0].x[1]^b[1].x[2]^b[2].x[3]^b[3] </td></tr>
<tr><td class="paramname">x</td><td>FP12 array with 4 FP12s </td></tr>
<tr><td class="paramname">b</td><td>BIG array of 4 exponents </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a56cdbce65338447d495d15037768cc77"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a56cdbce65338447d495d15037768cc77">&#9670;&nbsp;</a></span>FP12_BLS383_reduce()</h2>
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<td class="memname">void FP12_BLS383_reduce </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</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>FP12 instance, on exit reduced mod Modulus </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a388d287b18dcb4c6102c63a40ad69fb3"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a388d287b18dcb4c6102c63a40ad69fb3">&#9670;&nbsp;</a></span>FP12_BLS383_smul()</h2>
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<div class="memproto">
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<td class="memname">void FP12_BLS383_smul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</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="structFP12__BLS383.html">FP12_BLS383</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>FP12 instance, on exit = x*y </td></tr>
<tr><td class="paramname">y</td><td>FP12 instance, of special form </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a008948ad25e2bb2e768b46877e2a4700"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a008948ad25e2bb2e768b46877e2a4700">&#9670;&nbsp;</a></span>FP12_BLS383_sqr()</h2>
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<div class="memproto">
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<td class="memname">void FP12_BLS383_sqr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</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="structFP12__BLS383.html">FP12_BLS383</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>FP12 instance, on exit = y^2 </td></tr>
<tr><td class="paramname">y</td><td>FP12 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a249988a4d7673e6407c06ed3ad707791"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a249988a4d7673e6407c06ed3ad707791">&#9670;&nbsp;</a></span>FP12_BLS383_ssmul()</h2>
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<div class="memproto">
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<td class="memname">void FP12_BLS383_ssmul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</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="structFP12__BLS383.html">FP12_BLS383</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>FP12 instance, on exit = x*y </td></tr>
<tr><td class="paramname">y</td><td>FP12 instance, of special form </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a4114fa7ceb9d2c3b62ff4b35d878c5de"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4114fa7ceb9d2c3b62ff4b35d878c5de">&#9670;&nbsp;</a></span>FP12_BLS383_toOctet()</h2>
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<div class="memproto">
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<td class="memname">void FP12_BLS383_toOctet </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>S</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</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">
<p>Serializes the components of an FP12 to big-endian base 256 form. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">S</td><td>output octet string </td></tr>
<tr><td class="paramname">x</td><td>FP12 instance to be converted to an octet string </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a61842c14491370ab373eaa836abbf113"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a61842c14491370ab373eaa836abbf113">&#9670;&nbsp;</a></span>FP12_BLS383_trace()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP12_BLS383_trace </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS383.html">FP4_BLS383</a> *&#160;</td>
<td class="paramname"><em>t</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</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">t</td><td>FP4 trace of x, on exit = tr(x) </td></tr>
<tr><td class="paramname">x</td><td>FP12 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a5df48e9eb04b95975186c92f968aba4d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5df48e9eb04b95975186c92f968aba4d">&#9670;&nbsp;</a></span>FP12_BLS383_usqr()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP12_BLS383_usqr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</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="structFP12__BLS383.html">FP12_BLS383</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>FP12 instance, on exit = y^2 </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance, must be unitary </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a01b30d8c770692a3f5717e8be61d34b7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a01b30d8c770692a3f5717e8be61d34b7">&#9670;&nbsp;</a></span>FP12_BLS383_zero()</h2>
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<div class="memproto">
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<td class="memname">void FP12_BLS383_zero </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS383.html">FP12_BLS383</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>FP12 instance to be set to zero </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<h2 class="groupheader">Variable Documentation</h2>
<a id="acc6ace24c297f3d1bbd70c10f12c8f40"></a>
<h2 class="memtitle"><span class="permalink"><a href="#acc6ace24c297f3d1bbd70c10f12c8f40">&#9670;&nbsp;</a></span>Fra_BLS383</h2>
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<tr>
<td class="memname">const <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> Fra_BLS383</td>
</tr>
</table>
</div><div class="memdoc">
<p>real part of BN curve Frobenius Constant </p>
</div>
</div>
<a id="aa2a080445c52be753695d6abd26a6f0f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa2a080445c52be753695d6abd26a6f0f">&#9670;&nbsp;</a></span>Frb_BLS383</h2>
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<td class="memname">const <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> Frb_BLS383</td>
</tr>
</table>
</div><div class="memdoc">
<p>imaginary part of BN curve Frobenius Constant </p>
</div>
</div>
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