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<div class="title">fp12_BLS461.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__BLS461_8h_source.html">fp4_BLS461.h</a>&quot;</code><br />
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<p><a href="fp12__BLS461_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__BLS461.html">FP12_BLS461</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">FP12 Structure - towered over three FP4. <a href="structFP12__BLS461.html#details">More...</a><br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:ab9203a8d36ddeb9baab83aeefd883b03"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#ab9203a8d36ddeb9baab83aeefd883b03">FP12_BLS461_iszilch</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x)</td></tr>
<tr class="memdesc:ab9203a8d36ddeb9baab83aeefd883b03"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP12 equal to zero. <a href="#ab9203a8d36ddeb9baab83aeefd883b03">More...</a><br /></td></tr>
<tr class="separator:ab9203a8d36ddeb9baab83aeefd883b03"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2ae7845193c9ff9c24070957d81ae754"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#a2ae7845193c9ff9c24070957d81ae754">FP12_BLS461_isunity</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x)</td></tr>
<tr class="memdesc:a2ae7845193c9ff9c24070957d81ae754"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP12 equal to unity. <a href="#a2ae7845193c9ff9c24070957d81ae754">More...</a><br /></td></tr>
<tr class="separator:a2ae7845193c9ff9c24070957d81ae754"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af08bc41b39c0cc777fcfa13654917f01"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#af08bc41b39c0cc777fcfa13654917f01">FP12_BLS461_copy</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x, <a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *y)</td></tr>
<tr class="memdesc:af08bc41b39c0cc777fcfa13654917f01"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy FP12 to another FP12. <a href="#af08bc41b39c0cc777fcfa13654917f01">More...</a><br /></td></tr>
<tr class="separator:af08bc41b39c0cc777fcfa13654917f01"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae16361859efc25e4cab9ff4fe5a9fba6"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#ae16361859efc25e4cab9ff4fe5a9fba6">FP12_BLS461_one</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x)</td></tr>
<tr class="memdesc:ae16361859efc25e4cab9ff4fe5a9fba6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP12 to unity. <a href="#ae16361859efc25e4cab9ff4fe5a9fba6">More...</a><br /></td></tr>
<tr class="separator:ae16361859efc25e4cab9ff4fe5a9fba6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a947886b57401143704fad8bb75fc7418"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#a947886b57401143704fad8bb75fc7418">FP12_BLS461_zero</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x)</td></tr>
<tr class="memdesc:a947886b57401143704fad8bb75fc7418"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP12 to zero. <a href="#a947886b57401143704fad8bb75fc7418">More...</a><br /></td></tr>
<tr class="separator:a947886b57401143704fad8bb75fc7418"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad0384e5744b9c63490e18b4da4ead259"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#ad0384e5744b9c63490e18b4da4ead259">FP12_BLS461_equals</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x, <a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *y)</td></tr>
<tr class="memdesc:ad0384e5744b9c63490e18b4da4ead259"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for equality of two FP12s. <a href="#ad0384e5744b9c63490e18b4da4ead259">More...</a><br /></td></tr>
<tr class="separator:ad0384e5744b9c63490e18b4da4ead259"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a19a01d9fbaca779a379b821b3920c367"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#a19a01d9fbaca779a379b821b3920c367">FP12_BLS461_conj</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x, <a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *y)</td></tr>
<tr class="memdesc:a19a01d9fbaca779a379b821b3920c367"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conjugation of FP12. <a href="#a19a01d9fbaca779a379b821b3920c367">More...</a><br /></td></tr>
<tr class="separator:a19a01d9fbaca779a379b821b3920c367"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2957bf59b0e0501920050ab6288b728d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#a2957bf59b0e0501920050ab6288b728d">FP12_BLS461_from_FP4</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *a)</td></tr>
<tr class="memdesc:a2957bf59b0e0501920050ab6288b728d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP12 from single FP4. <a href="#a2957bf59b0e0501920050ab6288b728d">More...</a><br /></td></tr>
<tr class="separator:a2957bf59b0e0501920050ab6288b728d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a50da0727ec5e20e45fe34c29bba4fba9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#a50da0727ec5e20e45fe34c29bba4fba9">FP12_BLS461_from_FP4s</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *a, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *b, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *c)</td></tr>
<tr class="memdesc:a50da0727ec5e20e45fe34c29bba4fba9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP12 from three FP4s. <a href="#a50da0727ec5e20e45fe34c29bba4fba9">More...</a><br /></td></tr>
<tr class="separator:a50da0727ec5e20e45fe34c29bba4fba9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab96f96bc167353e63da8da177922499c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#ab96f96bc167353e63da8da177922499c">FP12_BLS461_usqr</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x, <a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *y)</td></tr>
<tr class="memdesc:ab96f96bc167353e63da8da177922499c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Squaring of an FP12 in "unitary" form. <a href="#ab96f96bc167353e63da8da177922499c">More...</a><br /></td></tr>
<tr class="separator:ab96f96bc167353e63da8da177922499c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6f9b78be6c3f75ccece7a5b50b20afba"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#a6f9b78be6c3f75ccece7a5b50b20afba">FP12_BLS461_sqr</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x, <a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *y)</td></tr>
<tr class="memdesc:a6f9b78be6c3f75ccece7a5b50b20afba"><td class="mdescLeft">&#160;</td><td class="mdescRight">Squaring an FP12. <a href="#a6f9b78be6c3f75ccece7a5b50b20afba">More...</a><br /></td></tr>
<tr class="separator:a6f9b78be6c3f75ccece7a5b50b20afba"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae95d3d600b75d2932bf6d2abb1d19e68"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#ae95d3d600b75d2932bf6d2abb1d19e68">FP12_BLS461_smul</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x, <a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *y)</td></tr>
<tr class="memdesc:ae95d3d600b75d2932bf6d2abb1d19e68"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast multiplication of two sparse FP12s that arises from ATE pairing line functions. <a href="#ae95d3d600b75d2932bf6d2abb1d19e68">More...</a><br /></td></tr>
<tr class="separator:ae95d3d600b75d2932bf6d2abb1d19e68"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa4a5eb38c56adb9fc7b59fd23283b840"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#aa4a5eb38c56adb9fc7b59fd23283b840">FP12_BLS461_ssmul</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x, <a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *y)</td></tr>
<tr class="memdesc:aa4a5eb38c56adb9fc7b59fd23283b840"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast multiplication of what may be sparse multiplicands. <a href="#aa4a5eb38c56adb9fc7b59fd23283b840">More...</a><br /></td></tr>
<tr class="separator:aa4a5eb38c56adb9fc7b59fd23283b840"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a31f2b4e7ceb6bebf4df6c0dc20f81655"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#a31f2b4e7ceb6bebf4df6c0dc20f81655">FP12_BLS461_mul</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x, <a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *y)</td></tr>
<tr class="memdesc:a31f2b4e7ceb6bebf4df6c0dc20f81655"><td class="mdescLeft">&#160;</td><td class="mdescRight">Full unconditional Multiplication of two FP12s. <a href="#a31f2b4e7ceb6bebf4df6c0dc20f81655">More...</a><br /></td></tr>
<tr class="separator:a31f2b4e7ceb6bebf4df6c0dc20f81655"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa35500396c499e70645c5ff71b312c1e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#aa35500396c499e70645c5ff71b312c1e">FP12_BLS461_inv</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x, <a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *y)</td></tr>
<tr class="memdesc:aa35500396c499e70645c5ff71b312c1e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Inverting an FP12. <a href="#aa35500396c499e70645c5ff71b312c1e">More...</a><br /></td></tr>
<tr class="separator:aa35500396c499e70645c5ff71b312c1e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a63c65ef4b8391283254ee5670ae690c3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#a63c65ef4b8391283254ee5670ae690c3">FP12_BLS461_pow</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *r, <a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x, <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> b)</td></tr>
<tr class="memdesc:a63c65ef4b8391283254ee5670ae690c3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP12 to the power of a BIG. <a href="#a63c65ef4b8391283254ee5670ae690c3">More...</a><br /></td></tr>
<tr class="separator:a63c65ef4b8391283254ee5670ae690c3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab0a8dcd1d6dc5c2b8ee157465eecca77"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#ab0a8dcd1d6dc5c2b8ee157465eecca77">FP12_BLS461_pinpow</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x, int i, int b)</td></tr>
<tr class="memdesc:ab0a8dcd1d6dc5c2b8ee157465eecca77"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP12 instance x to a small integer power, side-channel resistant. <a href="#ab0a8dcd1d6dc5c2b8ee157465eecca77">More...</a><br /></td></tr>
<tr class="separator:ab0a8dcd1d6dc5c2b8ee157465eecca77"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af82d69a53afce8ed2bf571ed3474d208"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#af82d69a53afce8ed2bf571ed3474d208">FP12_BLS461_compow</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *c, <a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x, <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> e, <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> r)</td></tr>
<tr class="memdesc:af82d69a53afce8ed2bf571ed3474d208"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP12 instance x to a BIG power, compressed to FP4. <a href="#af82d69a53afce8ed2bf571ed3474d208">More...</a><br /></td></tr>
<tr class="separator:af82d69a53afce8ed2bf571ed3474d208"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0aba8709905f7a81a7c334a18510006a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#a0aba8709905f7a81a7c334a18510006a">FP12_BLS461_pow4</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *r, <a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x, <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> *b)</td></tr>
<tr class="memdesc:a0aba8709905f7a81a7c334a18510006a"><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="#a0aba8709905f7a81a7c334a18510006a">More...</a><br /></td></tr>
<tr class="separator:a0aba8709905f7a81a7c334a18510006a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0f8c6ab30890d266e5cc64b28fa0965d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#a0f8c6ab30890d266e5cc64b28fa0965d">FP12_BLS461_frob</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x, <a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *f)</td></tr>
<tr class="memdesc:a0f8c6ab30890d266e5cc64b28fa0965d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP12 to the power of the internal modulus p, using the Frobenius. <a href="#a0f8c6ab30890d266e5cc64b28fa0965d">More...</a><br /></td></tr>
<tr class="separator:a0f8c6ab30890d266e5cc64b28fa0965d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a441eaec829497e50821fc604d234a0a6"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#a441eaec829497e50821fc604d234a0a6">FP12_BLS461_reduce</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x)</td></tr>
<tr class="memdesc:a441eaec829497e50821fc604d234a0a6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces all components of possibly unreduced FP12 mod Modulus. <a href="#a441eaec829497e50821fc604d234a0a6">More...</a><br /></td></tr>
<tr class="separator:a441eaec829497e50821fc604d234a0a6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1bf4df278979f178287e61daf8345381"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#a1bf4df278979f178287e61daf8345381">FP12_BLS461_norm</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x)</td></tr>
<tr class="memdesc:a1bf4df278979f178287e61daf8345381"><td class="mdescLeft">&#160;</td><td class="mdescRight">Normalises the components of an FP12. <a href="#a1bf4df278979f178287e61daf8345381">More...</a><br /></td></tr>
<tr class="separator:a1bf4df278979f178287e61daf8345381"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1718692fa96e96b2328ffd2aecd82b61"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#a1718692fa96e96b2328ffd2aecd82b61">FP12_BLS461_output</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x)</td></tr>
<tr class="memdesc:a1718692fa96e96b2328ffd2aecd82b61"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP12 to the console. <a href="#a1718692fa96e96b2328ffd2aecd82b61">More...</a><br /></td></tr>
<tr class="separator:a1718692fa96e96b2328ffd2aecd82b61"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a21467e5aacb123152b87fde4f6380cfb"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#a21467e5aacb123152b87fde4f6380cfb">FP12_BLS461_toOctet</a> (<a class="el" href="structoctet.html">octet</a> *S, <a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x)</td></tr>
<tr class="memdesc:a21467e5aacb123152b87fde4f6380cfb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP12 instance to an octet string. <a href="#a21467e5aacb123152b87fde4f6380cfb">More...</a><br /></td></tr>
<tr class="separator:a21467e5aacb123152b87fde4f6380cfb"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac7051b94df6d8addb13d7d247fae9b17"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#ac7051b94df6d8addb13d7d247fae9b17">FP12_BLS461_fromOctet</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x, <a class="el" href="structoctet.html">octet</a> *S)</td></tr>
<tr class="memdesc:ac7051b94df6d8addb13d7d247fae9b17"><td class="mdescLeft">&#160;</td><td class="mdescRight">Creates an FP12 instance from an octet string. <a href="#ac7051b94df6d8addb13d7d247fae9b17">More...</a><br /></td></tr>
<tr class="separator:ac7051b94df6d8addb13d7d247fae9b17"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a17e554348b66fee75021c756d978d52e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#a17e554348b66fee75021c756d978d52e">FP12_BLS461_trace</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *t, <a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x)</td></tr>
<tr class="memdesc:a17e554348b66fee75021c756d978d52e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate the trace of an FP12. <a href="#a17e554348b66fee75021c756d978d52e">More...</a><br /></td></tr>
<tr class="separator:a17e554348b66fee75021c756d978d52e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9d5ca3943b978f4fdad951d205c0ba61"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#a9d5ca3943b978f4fdad951d205c0ba61">FP12_BLS461_cmove</a> (<a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *x, <a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *y, int s)</td></tr>
<tr class="memdesc:a9d5ca3943b978f4fdad951d205c0ba61"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional copy of FP12 number. <a href="#a9d5ca3943b978f4fdad951d205c0ba61">More...</a><br /></td></tr>
<tr class="separator:a9d5ca3943b978f4fdad951d205c0ba61"><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:a6d2edb8dfee22d664e4ce1c6f107c3ae"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#a6d2edb8dfee22d664e4ce1c6f107c3ae">Fra_BLS461</a></td></tr>
<tr class="separator:a6d2edb8dfee22d664e4ce1c6f107c3ae"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a852f1f5013cc1c12386c59d7cb7e626b"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS461_8h.html#a852f1f5013cc1c12386c59d7cb7e626b">Frb_BLS461</a></td></tr>
<tr class="separator:a852f1f5013cc1c12386c59d7cb7e626b"><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="a9d5ca3943b978f4fdad951d205c0ba61"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9d5ca3943b978f4fdad951d205c0ba61">&#9670;&nbsp;</a></span>FP12_BLS461_cmove()</h2>
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<td class="memname">void FP12_BLS461_cmove </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>s</em>&#160;</td>
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<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<p>Conditionally copies second parameter to the first (without branching) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>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="af82d69a53afce8ed2bf571ed3474d208"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af82d69a53afce8ed2bf571ed3474d208">&#9670;&nbsp;</a></span>FP12_BLS461_compow()</h2>
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<td class="memname">void FP12_BLS461_compow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</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__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a>&#160;</td>
<td class="paramname"><em>e</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a>&#160;</td>
<td class="paramname"><em>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="a19a01d9fbaca779a379b821b3920c367"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a19a01d9fbaca779a379b821b3920c367">&#9670;&nbsp;</a></span>FP12_BLS461_conj()</h2>
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<td class="memname">void FP12_BLS461_conj </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>If y=(a,b,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="af08bc41b39c0cc777fcfa13654917f01"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af08bc41b39c0cc777fcfa13654917f01">&#9670;&nbsp;</a></span>FP12_BLS461_copy()</h2>
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<td class="memname">void FP12_BLS461_copy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>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="ad0384e5744b9c63490e18b4da4ead259"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad0384e5744b9c63490e18b4da4ead259">&#9670;&nbsp;</a></span>FP12_BLS461_equals()</h2>
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<td class="memname">int FP12_BLS461_equals </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>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="a0f8c6ab30890d266e5cc64b28fa0965d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0f8c6ab30890d266e5cc64b28fa0965d">&#9670;&nbsp;</a></span>FP12_BLS461_frob()</h2>
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<td class="memname">void FP12_BLS461_frob </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *&#160;</td>
<td class="paramname"><em>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="a2957bf59b0e0501920050ab6288b728d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2957bf59b0e0501920050ab6288b728d">&#9670;&nbsp;</a></span>FP12_BLS461_from_FP4()</h2>
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<td class="memname">void FP12_BLS461_from_FP4 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<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="a50da0727ec5e20e45fe34c29bba4fba9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a50da0727ec5e20e45fe34c29bba4fba9">&#9670;&nbsp;</a></span>FP12_BLS461_from_FP4s()</h2>
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<td class="memname">void FP12_BLS461_from_FP4s </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>a</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</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__BLS461.html">FP4_BLS461</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="ac7051b94df6d8addb13d7d247fae9b17"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac7051b94df6d8addb13d7d247fae9b17">&#9670;&nbsp;</a></span>FP12_BLS461_fromOctet()</h2>
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<td class="memname">void FP12_BLS461_fromOctet </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="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="aa35500396c499e70645c5ff71b312c1e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa35500396c499e70645c5ff71b312c1e">&#9670;&nbsp;</a></span>FP12_BLS461_inv()</h2>
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<td class="memname">void FP12_BLS461_inv </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>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="a2ae7845193c9ff9c24070957d81ae754"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2ae7845193c9ff9c24070957d81ae754">&#9670;&nbsp;</a></span>FP12_BLS461_isunity()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP12_BLS461_isunity </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>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="ab9203a8d36ddeb9baab83aeefd883b03"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab9203a8d36ddeb9baab83aeefd883b03">&#9670;&nbsp;</a></span>FP12_BLS461_iszilch()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP12_BLS461_iszilch </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>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="a31f2b4e7ceb6bebf4df6c0dc20f81655"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a31f2b4e7ceb6bebf4df6c0dc20f81655">&#9670;&nbsp;</a></span>FP12_BLS461_mul()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP12_BLS461_mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>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="a1bf4df278979f178287e61daf8345381"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1bf4df278979f178287e61daf8345381">&#9670;&nbsp;</a></span>FP12_BLS461_norm()</h2>
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<td class="memname">void FP12_BLS461_norm </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP12 instance to be normalised </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ae16361859efc25e4cab9ff4fe5a9fba6"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae16361859efc25e4cab9ff4fe5a9fba6">&#9670;&nbsp;</a></span>FP12_BLS461_one()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP12_BLS461_one </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP12 instance to be set to one </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a1718692fa96e96b2328ffd2aecd82b61"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1718692fa96e96b2328ffd2aecd82b61">&#9670;&nbsp;</a></span>FP12_BLS461_output()</h2>
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<div class="memproto">
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<td class="memname">void FP12_BLS461_output </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP12 instance to be printed </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ab0a8dcd1d6dc5c2b8ee157465eecca77"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab0a8dcd1d6dc5c2b8ee157465eecca77">&#9670;&nbsp;</a></span>FP12_BLS461_pinpow()</h2>
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<div class="memproto">
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<td class="memname">void FP12_BLS461_pinpow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</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="a63c65ef4b8391283254ee5670ae690c3"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a63c65ef4b8391283254ee5670ae690c3">&#9670;&nbsp;</a></span>FP12_BLS461_pow()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP12_BLS461_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</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__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a>&#160;</td>
<td class="paramname"><em>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="a0aba8709905f7a81a7c334a18510006a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0aba8709905f7a81a7c334a18510006a">&#9670;&nbsp;</a></span>FP12_BLS461_pow4()</h2>
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<div class="memproto">
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<td class="memname">void FP12_BLS461_pow4 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</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__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> *&#160;</td>
<td class="paramname"><em>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="a441eaec829497e50821fc604d234a0a6"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a441eaec829497e50821fc604d234a0a6">&#9670;&nbsp;</a></span>FP12_BLS461_reduce()</h2>
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<div class="memproto">
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<td class="memname">void FP12_BLS461_reduce </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP12 instance, on exit reduced mod Modulus </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ae95d3d600b75d2932bf6d2abb1d19e68"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae95d3d600b75d2932bf6d2abb1d19e68">&#9670;&nbsp;</a></span>FP12_BLS461_smul()</h2>
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<div class="memproto">
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<td class="memname">void FP12_BLS461_smul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>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="a6f9b78be6c3f75ccece7a5b50b20afba"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6f9b78be6c3f75ccece7a5b50b20afba">&#9670;&nbsp;</a></span>FP12_BLS461_sqr()</h2>
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<div class="memproto">
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<td class="memname">void FP12_BLS461_sqr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>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="aa4a5eb38c56adb9fc7b59fd23283b840"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa4a5eb38c56adb9fc7b59fd23283b840">&#9670;&nbsp;</a></span>FP12_BLS461_ssmul()</h2>
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<div class="memproto">
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<td class="memname">void FP12_BLS461_ssmul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>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="a21467e5aacb123152b87fde4f6380cfb"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a21467e5aacb123152b87fde4f6380cfb">&#9670;&nbsp;</a></span>FP12_BLS461_toOctet()</h2>
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<div class="memproto">
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<td class="memname">void FP12_BLS461_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__BLS461.html">FP12_BLS461</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="a17e554348b66fee75021c756d978d52e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a17e554348b66fee75021c756d978d52e">&#9670;&nbsp;</a></span>FP12_BLS461_trace()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP12_BLS461_trace </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</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__BLS461.html">FP12_BLS461</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="ab96f96bc167353e63da8da177922499c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab96f96bc167353e63da8da177922499c">&#9670;&nbsp;</a></span>FP12_BLS461_usqr()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP12_BLS461_usqr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>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="a947886b57401143704fad8bb75fc7418"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a947886b57401143704fad8bb75fc7418">&#9670;&nbsp;</a></span>FP12_BLS461_zero()</h2>
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<td class="memname">void FP12_BLS461_zero </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS461.html">FP12_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP12 instance to be set to zero </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<h2 class="groupheader">Variable Documentation</h2>
<a id="a6d2edb8dfee22d664e4ce1c6f107c3ae"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6d2edb8dfee22d664e4ce1c6f107c3ae">&#9670;&nbsp;</a></span>Fra_BLS461</h2>
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<tr>
<td class="memname">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> Fra_BLS461</td>
</tr>
</table>
</div><div class="memdoc">
<p>real part of BN curve Frobenius Constant </p>
</div>
</div>
<a id="a852f1f5013cc1c12386c59d7cb7e626b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a852f1f5013cc1c12386c59d7cb7e626b">&#9670;&nbsp;</a></span>Frb_BLS461</h2>
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<td class="memname">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> Frb_BLS461</td>
</tr>
</table>
</div><div class="memdoc">
<p>imaginary part of BN curve Frobenius Constant </p>
</div>
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