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| <a href="#func-members">Functions</a> | |
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| <div class="title">pair_BLS381.h File Reference</div> </div> |
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| |
| <p>PAIR Header File. |
| <a href="#details">More...</a></p> |
| <div class="textblock"><code>#include "<a class="el" href="fp12__BLS381_8h_source.html">fp12_BLS381.h</a>"</code><br /> |
| <code>#include "<a class="el" href="ecp2__BLS381_8h_source.html">ecp2_BLS381.h</a>"</code><br /> |
| <code>#include "<a class="el" href="ecp__BLS381_8h_source.html">ecp_BLS381.h</a>"</code><br /> |
| </div> |
| <p><a href="pair__BLS381_8h_source.html">Go to the source code of this file.</a></p> |
| <table class="memberdecls"> |
| <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a> |
| Functions</h2></td></tr> |
| <tr class="memitem:a8f9fc9a8acb5a52a063b657ca1ff5642"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS381_8h.html#a8f9fc9a8acb5a52a063b657ca1ff5642">PAIR_BLS381_another</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> r[], <a class="el" href="structECP2__BLS381.html">ECP2_BLS381</a> *PV, <a class="el" href="structECP__BLS381.html">ECP_BLS381</a> *QV)</td></tr> |
| <tr class="memdesc:a8f9fc9a8acb5a52a063b657ca1ff5642"><td class="mdescLeft"> </td><td class="mdescRight">Precompute line functions for n-pairing. <a href="#a8f9fc9a8acb5a52a063b657ca1ff5642">More...</a><br /></td></tr> |
| <tr class="separator:a8f9fc9a8acb5a52a063b657ca1ff5642"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:aa3d950560e479b434ce3c0545e8936ee"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS381_8h.html#aa3d950560e479b434ce3c0545e8936ee">PAIR_BLS381_ate</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *r, <a class="el" href="structECP2__BLS381.html">ECP2_BLS381</a> *P, <a class="el" href="structECP__BLS381.html">ECP_BLS381</a> *Q)</td></tr> |
| <tr class="memdesc:aa3d950560e479b434ce3c0545e8936ee"><td class="mdescLeft"> </td><td class="mdescRight">Calculate Miller loop for Optimal ATE pairing e(P,Q) <a href="#aa3d950560e479b434ce3c0545e8936ee">More...</a><br /></td></tr> |
| <tr class="separator:aa3d950560e479b434ce3c0545e8936ee"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:aaba8972448d80a300a888b78a7c84af6"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS381_8h.html#aaba8972448d80a300a888b78a7c84af6">PAIR_BLS381_double_ate</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *r, <a class="el" href="structECP2__BLS381.html">ECP2_BLS381</a> *P, <a class="el" href="structECP__BLS381.html">ECP_BLS381</a> *Q, <a class="el" href="structECP2__BLS381.html">ECP2_BLS381</a> *R, <a class="el" href="structECP__BLS381.html">ECP_BLS381</a> *S)</td></tr> |
| <tr class="memdesc:aaba8972448d80a300a888b78a7c84af6"><td class="mdescLeft"> </td><td class="mdescRight">Calculate Miller loop for Optimal ATE double-pairing e(P,Q).e(R,S) <a href="#aaba8972448d80a300a888b78a7c84af6">More...</a><br /></td></tr> |
| <tr class="separator:aaba8972448d80a300a888b78a7c84af6"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ae77aedc08756ccbb616e332d87c32e51"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS381_8h.html#ae77aedc08756ccbb616e332d87c32e51">PAIR_BLS381_fexp</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x)</td></tr> |
| <tr class="memdesc:ae77aedc08756ccbb616e332d87c32e51"><td class="mdescLeft"> </td><td class="mdescRight">Final exponentiation of pairing, converts output of Miller loop to element in GT. <a href="#ae77aedc08756ccbb616e332d87c32e51">More...</a><br /></td></tr> |
| <tr class="separator:ae77aedc08756ccbb616e332d87c32e51"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a323af36abba2fbaf4fe09b6710cb0bed"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS381_8h.html#a323af36abba2fbaf4fe09b6710cb0bed">PAIR_BLS381_G1mul</a> (<a class="el" href="structECP__BLS381.html">ECP_BLS381</a> *Q, <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> b)</td></tr> |
| <tr class="memdesc:a323af36abba2fbaf4fe09b6710cb0bed"><td class="mdescLeft"> </td><td class="mdescRight">Fast point multiplication of a member of the group G1 by a BIG number. <a href="#a323af36abba2fbaf4fe09b6710cb0bed">More...</a><br /></td></tr> |
| <tr class="separator:a323af36abba2fbaf4fe09b6710cb0bed"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a84edb7faf7d71c4add6cc2754c2abb35"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS381_8h.html#a84edb7faf7d71c4add6cc2754c2abb35">PAIR_BLS381_G2mul</a> (<a class="el" href="structECP2__BLS381.html">ECP2_BLS381</a> *P, <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> b)</td></tr> |
| <tr class="memdesc:a84edb7faf7d71c4add6cc2754c2abb35"><td class="mdescLeft"> </td><td class="mdescRight">Fast point multiplication of a member of the group G2 by a BIG number. <a href="#a84edb7faf7d71c4add6cc2754c2abb35">More...</a><br /></td></tr> |
| <tr class="separator:a84edb7faf7d71c4add6cc2754c2abb35"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a0ed48bfd50fdd775e6cc38d4a08636f3"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS381_8h.html#a0ed48bfd50fdd775e6cc38d4a08636f3">PAIR_BLS381_GTpow</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x, <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> b)</td></tr> |
| <tr class="memdesc:a0ed48bfd50fdd775e6cc38d4a08636f3"><td class="mdescLeft"> </td><td class="mdescRight">Fast raising of a member of GT to a BIG power. <a href="#a0ed48bfd50fdd775e6cc38d4a08636f3">More...</a><br /></td></tr> |
| <tr class="separator:a0ed48bfd50fdd775e6cc38d4a08636f3"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a695742fa685c3eb2c553813b68007d89"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS381_8h.html#a695742fa685c3eb2c553813b68007d89">PAIR_BLS381_GTmember</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x)</td></tr> |
| <tr class="memdesc:a695742fa685c3eb2c553813b68007d89"><td class="mdescLeft"> </td><td class="mdescRight">Tests FP12 for membership of GT. <a href="#a695742fa685c3eb2c553813b68007d89">More...</a><br /></td></tr> |
| <tr class="separator:a695742fa685c3eb2c553813b68007d89"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a05faad81610f46cfeba3a85a3981bce6"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS381_8h.html#a05faad81610f46cfeba3a85a3981bce6">PAIR_BLS381_nbits</a> (<a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> n3, <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> n)</td></tr> |
| <tr class="memdesc:a05faad81610f46cfeba3a85a3981bce6"><td class="mdescLeft"> </td><td class="mdescRight">Prepare Ate parameter. <a href="#a05faad81610f46cfeba3a85a3981bce6">More...</a><br /></td></tr> |
| <tr class="separator:a05faad81610f46cfeba3a85a3981bce6"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a128c75bb37658aa1e938ce717dd89068"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS381_8h.html#a128c75bb37658aa1e938ce717dd89068">PAIR_BLS381_initmp</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> r[])</td></tr> |
| <tr class="memdesc:a128c75bb37658aa1e938ce717dd89068"><td class="mdescLeft"> </td><td class="mdescRight">Initialise structure for multi-pairing. <a href="#a128c75bb37658aa1e938ce717dd89068">More...</a><br /></td></tr> |
| <tr class="separator:a128c75bb37658aa1e938ce717dd89068"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a64761d2d91aef5497a8d587bbf80787b"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS381_8h.html#a64761d2d91aef5497a8d587bbf80787b">PAIR_BLS381_miller</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *res, <a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> r[])</td></tr> |
| <tr class="memdesc:a64761d2d91aef5497a8d587bbf80787b"><td class="mdescLeft"> </td><td class="mdescRight">Miller loop. <a href="#a64761d2d91aef5497a8d587bbf80787b">More...</a><br /></td></tr> |
| <tr class="separator:a64761d2d91aef5497a8d587bbf80787b"><td class="memSeparator" colspan="2"> </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:ae6e182a64e658ae2f24b4ce059dc1a7c"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS381_8h.html#ae6e182a64e658ae2f24b4ce059dc1a7c">CURVE_Bnx_BLS381</a></td></tr> |
| <tr class="separator:ae6e182a64e658ae2f24b4ce059dc1a7c"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a633370fe9d1b0f30c7877879f7371908"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS381_8h.html#a633370fe9d1b0f30c7877879f7371908">CURVE_Cru_BLS381</a></td></tr> |
| <tr class="separator:a633370fe9d1b0f30c7877879f7371908"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a64af80fccbee15e68a18615680ebff58"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS381_8h.html#a64af80fccbee15e68a18615680ebff58">CURVE_W_BLS381</a> [2]</td></tr> |
| <tr class="separator:a64af80fccbee15e68a18615680ebff58"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:adc31f7aafa529744e1417b7ad6c8dada"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS381_8h.html#adc31f7aafa529744e1417b7ad6c8dada">CURVE_SB_BLS381</a> [2][2]</td></tr> |
| <tr class="separator:adc31f7aafa529744e1417b7ad6c8dada"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a569727714eda3247c43e488b37fbd272"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS381_8h.html#a569727714eda3247c43e488b37fbd272">CURVE_WB_BLS381</a> [4]</td></tr> |
| <tr class="separator:a569727714eda3247c43e488b37fbd272"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ae6a6e6a7e0cdd1fc2dc14b38da49893a"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="pair__BLS381_8h.html#ae6a6e6a7e0cdd1fc2dc14b38da49893a">CURVE_BB_BLS381</a> [4][4]</td></tr> |
| <tr class="separator:ae6a6e6a7e0cdd1fc2dc14b38da49893a"><td class="memSeparator" colspan="2"> </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="a8f9fc9a8acb5a52a063b657ca1ff5642"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a8f9fc9a8acb5a52a063b657ca1ff5642">◆ </a></span>PAIR_BLS381_another()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void PAIR_BLS381_another </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> </td> |
| <td class="paramname"><em>r</em>[], </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structECP2__BLS381.html">ECP2_BLS381</a> * </td> |
| <td class="paramname"><em>PV</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structECP__BLS381.html">ECP_BLS381</a> * </td> |
| <td class="paramname"><em>QV</em> </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>array of precomputed FP12 products of line functions </td></tr> |
| <tr><td class="paramname">PV</td><td>ECP2 instance, an element of G2 </td></tr> |
| <tr><td class="paramname">QV</td><td>ECP instance, an element of G1 </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="aa3d950560e479b434ce3c0545e8936ee"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#aa3d950560e479b434ce3c0545e8936ee">◆ </a></span>PAIR_BLS381_ate()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void PAIR_BLS381_ate </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> * </td> |
| <td class="paramname"><em>r</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structECP2__BLS381.html">ECP2_BLS381</a> * </td> |
| <td class="paramname"><em>P</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structECP__BLS381.html">ECP_BLS381</a> * </td> |
| <td class="paramname"><em>Q</em> </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 result of the pairing calculation e(P,Q) </td></tr> |
| <tr><td class="paramname">P</td><td>ECP2 instance, an element of G2 </td></tr> |
| <tr><td class="paramname">Q</td><td>ECP instance, an element of G1 </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="aaba8972448d80a300a888b78a7c84af6"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#aaba8972448d80a300a888b78a7c84af6">◆ </a></span>PAIR_BLS381_double_ate()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void PAIR_BLS381_double_ate </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> * </td> |
| <td class="paramname"><em>r</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structECP2__BLS381.html">ECP2_BLS381</a> * </td> |
| <td class="paramname"><em>P</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structECP__BLS381.html">ECP_BLS381</a> * </td> |
| <td class="paramname"><em>Q</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structECP2__BLS381.html">ECP2_BLS381</a> * </td> |
| <td class="paramname"><em>R</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structECP__BLS381.html">ECP_BLS381</a> * </td> |
| <td class="paramname"><em>S</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>Faster than calculating two separate pairings </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">r</td><td>FP12 result of the pairing calculation e(P,Q).e(R,S), an element of GT </td></tr> |
| <tr><td class="paramname">P</td><td>ECP2 instance, an element of G2 </td></tr> |
| <tr><td class="paramname">Q</td><td>ECP instance, an element of G1 </td></tr> |
| <tr><td class="paramname">R</td><td>ECP2 instance, an element of G2 </td></tr> |
| <tr><td class="paramname">S</td><td>ECP instance, an element of G1 </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="ae77aedc08756ccbb616e332d87c32e51"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ae77aedc08756ccbb616e332d87c32e51">◆ </a></span>PAIR_BLS381_fexp()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void PAIR_BLS381_fexp </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> * </td> |
| <td class="paramname"><em>x</em></td><td>)</td> |
| <td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>Here p is the internal modulus, and r is the group order </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP12, on exit = x^((p^12-1)/r) </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a323af36abba2fbaf4fe09b6710cb0bed"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a323af36abba2fbaf4fe09b6710cb0bed">◆ </a></span>PAIR_BLS381_G1mul()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void PAIR_BLS381_G1mul </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structECP__BLS381.html">ECP_BLS381</a> * </td> |
| <td class="paramname"><em>Q</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> </td> |
| <td class="paramname"><em>b</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>May exploit endomorphism for speed. </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">Q</td><td>ECP member of G1. </td></tr> |
| <tr><td class="paramname">b</td><td>BIG multiplier </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a84edb7faf7d71c4add6cc2754c2abb35"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a84edb7faf7d71c4add6cc2754c2abb35">◆ </a></span>PAIR_BLS381_G2mul()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void PAIR_BLS381_G2mul </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structECP2__BLS381.html">ECP2_BLS381</a> * </td> |
| <td class="paramname"><em>P</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> </td> |
| <td class="paramname"><em>b</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>May exploit endomorphism for speed. </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">P</td><td>ECP2 member of G1. </td></tr> |
| <tr><td class="paramname">b</td><td>BIG multiplier </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a695742fa685c3eb2c553813b68007d89"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a695742fa685c3eb2c553813b68007d89">◆ </a></span>PAIR_BLS381_GTmember()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int PAIR_BLS381_GTmember </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> * </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 </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd>1 if x is in GT, else return 0 </dd></dl> |
| |
| </div> |
| </div> |
| <a id="a0ed48bfd50fdd775e6cc38d4a08636f3"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a0ed48bfd50fdd775e6cc38d4a08636f3">◆ </a></span>PAIR_BLS381_GTpow()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void PAIR_BLS381_GTpow </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> * </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> </td> |
| <td class="paramname"><em>b</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>May exploit endomorphism for speed. </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP12 member of GT. </td></tr> |
| <tr><td class="paramname">b</td><td>BIG exponent </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a128c75bb37658aa1e938ce717dd89068"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a128c75bb37658aa1e938ce717dd89068">◆ </a></span>PAIR_BLS381_initmp()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void PAIR_BLS381_initmp </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> </td> |
| <td class="paramname"><em>r</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">r</td><td>FP12 array, to be initialised to 1 </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a64761d2d91aef5497a8d587bbf80787b"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a64761d2d91aef5497a8d587bbf80787b">◆ </a></span>PAIR_BLS381_miller()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void PAIR_BLS381_miller </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> * </td> |
| <td class="paramname"><em>res</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> </td> |
| <td class="paramname"><em>r</em>[] </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">res</td><td>FP12 result </td></tr> |
| <tr><td class="paramname">r</td><td>FP12 precomputed array of accumulated line functions </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a05faad81610f46cfeba3a85a3981bce6"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a05faad81610f46cfeba3a85a3981bce6">◆ </a></span>PAIR_BLS381_nbits()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int PAIR_BLS381_nbits </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> </td> |
| <td class="paramname"><em>n3</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> </td> |
| <td class="paramname"><em>n</em> </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">n</td><td>BIG parameter </td></tr> |
| <tr><td class="paramname">n3</td><td>BIG paramter = 3*n </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd>number of nits in n3 </dd></dl> |
| |
| </div> |
| </div> |
| <h2 class="groupheader">Variable Documentation</h2> |
| <a id="ae6a6e6a7e0cdd1fc2dc14b38da49893a"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ae6a6e6a7e0cdd1fc2dc14b38da49893a">◆ </a></span>CURVE_BB_BLS381</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">const <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> CURVE_BB_BLS381[4][4]</td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>BN curve constant for GS decomposition </p> |
| |
| </div> |
| </div> |
| <a id="ae6e182a64e658ae2f24b4ce059dc1a7c"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ae6e182a64e658ae2f24b4ce059dc1a7c">◆ </a></span>CURVE_Bnx_BLS381</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">const <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> CURVE_Bnx_BLS381</td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>BN curve x parameter </p> |
| |
| </div> |
| </div> |
| <a id="a633370fe9d1b0f30c7877879f7371908"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a633370fe9d1b0f30c7877879f7371908">◆ </a></span>CURVE_Cru_BLS381</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">const <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> CURVE_Cru_BLS381</td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>BN curve Cube Root of Unity </p> |
| |
| </div> |
| </div> |
| <a id="adc31f7aafa529744e1417b7ad6c8dada"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#adc31f7aafa529744e1417b7ad6c8dada">◆ </a></span>CURVE_SB_BLS381</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">const <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> CURVE_SB_BLS381[2][2]</td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>BN curve constant for GLV decomposition </p> |
| |
| </div> |
| </div> |
| <a id="a64af80fccbee15e68a18615680ebff58"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a64af80fccbee15e68a18615680ebff58">◆ </a></span>CURVE_W_BLS381</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">const <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> CURVE_W_BLS381[2]</td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>BN curve constant for GLV decomposition </p> |
| |
| </div> |
| </div> |
| <a id="a569727714eda3247c43e488b37fbd272"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a569727714eda3247c43e488b37fbd272">◆ </a></span>CURVE_WB_BLS381</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">const <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> CURVE_WB_BLS381[4]</td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>BN curve constant for GS decomposition </p> |
| |
| </div> |
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