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| |
| <p>FP12 Header File. |
| <a href="#details">More...</a></p> |
| <div class="textblock"><code>#include "<a class="el" href="fp4__FP512BN_8h_source.html">fp4_FP512BN.h</a>"</code><br /> |
| </div> |
| <p><a href="fp12__FP512BN_8h_source.html">Go to the source code of this file.</a></p> |
| <table class="memberdecls"> |
| <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a> |
| Data Structures</h2></td></tr> |
| <tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct  </td><td class="memItemRight" valign="bottom"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a></td></tr> |
| <tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">FP12 Structure - towered over three FP4. <a href="structFP12__FP512BN.html#details">More...</a><br /></td></tr> |
| <tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr> |
| </table><table class="memberdecls"> |
| <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a> |
| Functions</h2></td></tr> |
| <tr class="memitem:a19790c7b73089851d374ae9848fbfa5c"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#a19790c7b73089851d374ae9848fbfa5c">FP12_FP512BN_iszilch</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x)</td></tr> |
| <tr class="memdesc:a19790c7b73089851d374ae9848fbfa5c"><td class="mdescLeft"> </td><td class="mdescRight">Tests for FP12 equal to zero. <a href="#a19790c7b73089851d374ae9848fbfa5c">More...</a><br /></td></tr> |
| <tr class="separator:a19790c7b73089851d374ae9848fbfa5c"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a1f3babdd9479dd8a1c36d41936bfbbb8"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#a1f3babdd9479dd8a1c36d41936bfbbb8">FP12_FP512BN_isunity</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x)</td></tr> |
| <tr class="memdesc:a1f3babdd9479dd8a1c36d41936bfbbb8"><td class="mdescLeft"> </td><td class="mdescRight">Tests for FP12 equal to unity. <a href="#a1f3babdd9479dd8a1c36d41936bfbbb8">More...</a><br /></td></tr> |
| <tr class="separator:a1f3babdd9479dd8a1c36d41936bfbbb8"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a3cbd4fddb940026a8229cd2f561a7fb9"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#a3cbd4fddb940026a8229cd2f561a7fb9">FP12_FP512BN_copy</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x, <a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *y)</td></tr> |
| <tr class="memdesc:a3cbd4fddb940026a8229cd2f561a7fb9"><td class="mdescLeft"> </td><td class="mdescRight">Copy FP12 to another FP12. <a href="#a3cbd4fddb940026a8229cd2f561a7fb9">More...</a><br /></td></tr> |
| <tr class="separator:a3cbd4fddb940026a8229cd2f561a7fb9"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a0ce2f82a834844302320126443a6b23a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#a0ce2f82a834844302320126443a6b23a">FP12_FP512BN_one</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x)</td></tr> |
| <tr class="memdesc:a0ce2f82a834844302320126443a6b23a"><td class="mdescLeft"> </td><td class="mdescRight">Set FP12 to unity. <a href="#a0ce2f82a834844302320126443a6b23a">More...</a><br /></td></tr> |
| <tr class="separator:a0ce2f82a834844302320126443a6b23a"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a7f0acc7745a5cab3d72f1a0d344d6199"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#a7f0acc7745a5cab3d72f1a0d344d6199">FP12_FP512BN_zero</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x)</td></tr> |
| <tr class="memdesc:a7f0acc7745a5cab3d72f1a0d344d6199"><td class="mdescLeft"> </td><td class="mdescRight">Set FP12 to zero. <a href="#a7f0acc7745a5cab3d72f1a0d344d6199">More...</a><br /></td></tr> |
| <tr class="separator:a7f0acc7745a5cab3d72f1a0d344d6199"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a02d960f750136a8b403a3983c333fe5f"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#a02d960f750136a8b403a3983c333fe5f">FP12_FP512BN_equals</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x, <a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *y)</td></tr> |
| <tr class="memdesc:a02d960f750136a8b403a3983c333fe5f"><td class="mdescLeft"> </td><td class="mdescRight">Tests for equality of two FP12s. <a href="#a02d960f750136a8b403a3983c333fe5f">More...</a><br /></td></tr> |
| <tr class="separator:a02d960f750136a8b403a3983c333fe5f"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ace45decd1d3bfd3cc456b837bf411c4e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#ace45decd1d3bfd3cc456b837bf411c4e">FP12_FP512BN_conj</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x, <a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *y)</td></tr> |
| <tr class="memdesc:ace45decd1d3bfd3cc456b837bf411c4e"><td class="mdescLeft"> </td><td class="mdescRight">Conjugation of FP12. <a href="#ace45decd1d3bfd3cc456b837bf411c4e">More...</a><br /></td></tr> |
| <tr class="separator:ace45decd1d3bfd3cc456b837bf411c4e"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a22dffa8afaf7127fb7872ffe01dcfee7"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#a22dffa8afaf7127fb7872ffe01dcfee7">FP12_FP512BN_from_FP4</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *a)</td></tr> |
| <tr class="memdesc:a22dffa8afaf7127fb7872ffe01dcfee7"><td class="mdescLeft"> </td><td class="mdescRight">Initialise FP12 from single FP4. <a href="#a22dffa8afaf7127fb7872ffe01dcfee7">More...</a><br /></td></tr> |
| <tr class="separator:a22dffa8afaf7127fb7872ffe01dcfee7"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a077b2f20b0332099ceffd8060f6271d8"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#a077b2f20b0332099ceffd8060f6271d8">FP12_FP512BN_from_FP4s</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *a, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *b, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *c)</td></tr> |
| <tr class="memdesc:a077b2f20b0332099ceffd8060f6271d8"><td class="mdescLeft"> </td><td class="mdescRight">Initialise FP12 from three FP4s. <a href="#a077b2f20b0332099ceffd8060f6271d8">More...</a><br /></td></tr> |
| <tr class="separator:a077b2f20b0332099ceffd8060f6271d8"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ad058910fe143f8d64cd047c79a797cb2"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#ad058910fe143f8d64cd047c79a797cb2">FP12_FP512BN_usqr</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x, <a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *y)</td></tr> |
| <tr class="memdesc:ad058910fe143f8d64cd047c79a797cb2"><td class="mdescLeft"> </td><td class="mdescRight">Fast Squaring of an FP12 in "unitary" form. <a href="#ad058910fe143f8d64cd047c79a797cb2">More...</a><br /></td></tr> |
| <tr class="separator:ad058910fe143f8d64cd047c79a797cb2"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a92be596e66f4086902fc2e7b9ae74ef4"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#a92be596e66f4086902fc2e7b9ae74ef4">FP12_FP512BN_sqr</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x, <a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *y)</td></tr> |
| <tr class="memdesc:a92be596e66f4086902fc2e7b9ae74ef4"><td class="mdescLeft"> </td><td class="mdescRight">Squaring an FP12. <a href="#a92be596e66f4086902fc2e7b9ae74ef4">More...</a><br /></td></tr> |
| <tr class="separator:a92be596e66f4086902fc2e7b9ae74ef4"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a720b4ad3105029218be96899e519d3c0"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#a720b4ad3105029218be96899e519d3c0">FP12_FP512BN_smul</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x, <a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *y)</td></tr> |
| <tr class="memdesc:a720b4ad3105029218be96899e519d3c0"><td class="mdescLeft"> </td><td class="mdescRight">Fast multiplication of two sparse FP12s that arises from ATE pairing line functions. <a href="#a720b4ad3105029218be96899e519d3c0">More...</a><br /></td></tr> |
| <tr class="separator:a720b4ad3105029218be96899e519d3c0"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a8a42bfbffd2a62213ca2fdc65197c105"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#a8a42bfbffd2a62213ca2fdc65197c105">FP12_FP512BN_ssmul</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x, <a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *y)</td></tr> |
| <tr class="memdesc:a8a42bfbffd2a62213ca2fdc65197c105"><td class="mdescLeft"> </td><td class="mdescRight">Fast multiplication of what may be sparse multiplicands. <a href="#a8a42bfbffd2a62213ca2fdc65197c105">More...</a><br /></td></tr> |
| <tr class="separator:a8a42bfbffd2a62213ca2fdc65197c105"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:aca56833f7f38303b704d94494b5bf375"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#aca56833f7f38303b704d94494b5bf375">FP12_FP512BN_mul</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x, <a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *y)</td></tr> |
| <tr class="memdesc:aca56833f7f38303b704d94494b5bf375"><td class="mdescLeft"> </td><td class="mdescRight">Full unconditional Multiplication of two FP12s. <a href="#aca56833f7f38303b704d94494b5bf375">More...</a><br /></td></tr> |
| <tr class="separator:aca56833f7f38303b704d94494b5bf375"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a6f523dabff9dad730ac68887c559a501"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#a6f523dabff9dad730ac68887c559a501">FP12_FP512BN_inv</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x, <a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *y)</td></tr> |
| <tr class="memdesc:a6f523dabff9dad730ac68887c559a501"><td class="mdescLeft"> </td><td class="mdescRight">Inverting an FP12. <a href="#a6f523dabff9dad730ac68887c559a501">More...</a><br /></td></tr> |
| <tr class="separator:a6f523dabff9dad730ac68887c559a501"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a26aa81c34ac866aca13513bfe599b4a4"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#a26aa81c34ac866aca13513bfe599b4a4">FP12_FP512BN_pow</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *r, <a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> b)</td></tr> |
| <tr class="memdesc:a26aa81c34ac866aca13513bfe599b4a4"><td class="mdescLeft"> </td><td class="mdescRight">Raises an FP12 to the power of a BIG. <a href="#a26aa81c34ac866aca13513bfe599b4a4">More...</a><br /></td></tr> |
| <tr class="separator:a26aa81c34ac866aca13513bfe599b4a4"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a61a4312bbace323c62d067a7335f00fd"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#a61a4312bbace323c62d067a7335f00fd">FP12_FP512BN_pinpow</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x, int i, int b)</td></tr> |
| <tr class="memdesc:a61a4312bbace323c62d067a7335f00fd"><td class="mdescLeft"> </td><td class="mdescRight">Raises an FP12 instance x to a small integer power, side-channel resistant. <a href="#a61a4312bbace323c62d067a7335f00fd">More...</a><br /></td></tr> |
| <tr class="separator:a61a4312bbace323c62d067a7335f00fd"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a7ee76f8fe47524c771f98fb4d3f6887f"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#a7ee76f8fe47524c771f98fb4d3f6887f">FP12_FP512BN_compow</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *c, <a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> e, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> r)</td></tr> |
| <tr class="memdesc:a7ee76f8fe47524c771f98fb4d3f6887f"><td class="mdescLeft"> </td><td class="mdescRight">Raises an FP12 instance x to a BIG power, compressed to FP4. <a href="#a7ee76f8fe47524c771f98fb4d3f6887f">More...</a><br /></td></tr> |
| <tr class="separator:a7ee76f8fe47524c771f98fb4d3f6887f"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a36ff17c7f060a381080946317fe54bef"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#a36ff17c7f060a381080946317fe54bef">FP12_FP512BN_pow4</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *r, <a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> *b)</td></tr> |
| <tr class="memdesc:a36ff17c7f060a381080946317fe54bef"><td class="mdescLeft"> </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="#a36ff17c7f060a381080946317fe54bef">More...</a><br /></td></tr> |
| <tr class="separator:a36ff17c7f060a381080946317fe54bef"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ab7ea30ea1d2239c438e0b3b4b1c1aab8"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#ab7ea30ea1d2239c438e0b3b4b1c1aab8">FP12_FP512BN_frob</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x, <a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *f)</td></tr> |
| <tr class="memdesc:ab7ea30ea1d2239c438e0b3b4b1c1aab8"><td class="mdescLeft"> </td><td class="mdescRight">Raises an FP12 to the power of the internal modulus p, using the Frobenius. <a href="#ab7ea30ea1d2239c438e0b3b4b1c1aab8">More...</a><br /></td></tr> |
| <tr class="separator:ab7ea30ea1d2239c438e0b3b4b1c1aab8"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a91f6920c76cc68fb8baf6802817168a8"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#a91f6920c76cc68fb8baf6802817168a8">FP12_FP512BN_reduce</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x)</td></tr> |
| <tr class="memdesc:a91f6920c76cc68fb8baf6802817168a8"><td class="mdescLeft"> </td><td class="mdescRight">Reduces all components of possibly unreduced FP12 mod Modulus. <a href="#a91f6920c76cc68fb8baf6802817168a8">More...</a><br /></td></tr> |
| <tr class="separator:a91f6920c76cc68fb8baf6802817168a8"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ab6d4ed44349b1f5e0cd040f7f2e49e3e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#ab6d4ed44349b1f5e0cd040f7f2e49e3e">FP12_FP512BN_norm</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x)</td></tr> |
| <tr class="memdesc:ab6d4ed44349b1f5e0cd040f7f2e49e3e"><td class="mdescLeft"> </td><td class="mdescRight">Normalises the components of an FP12. <a href="#ab6d4ed44349b1f5e0cd040f7f2e49e3e">More...</a><br /></td></tr> |
| <tr class="separator:ab6d4ed44349b1f5e0cd040f7f2e49e3e"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a2a27106bfd2b7342d5b84154b7e76e6f"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#a2a27106bfd2b7342d5b84154b7e76e6f">FP12_FP512BN_output</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x)</td></tr> |
| <tr class="memdesc:a2a27106bfd2b7342d5b84154b7e76e6f"><td class="mdescLeft"> </td><td class="mdescRight">Formats and outputs an FP12 to the console. <a href="#a2a27106bfd2b7342d5b84154b7e76e6f">More...</a><br /></td></tr> |
| <tr class="separator:a2a27106bfd2b7342d5b84154b7e76e6f"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:abceb500aed4eb92470b2e07c347d8934"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#abceb500aed4eb92470b2e07c347d8934">FP12_FP512BN_toOctet</a> (<a class="el" href="structoctet.html">octet</a> *S, <a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x)</td></tr> |
| <tr class="memdesc:abceb500aed4eb92470b2e07c347d8934"><td class="mdescLeft"> </td><td class="mdescRight">Formats and outputs an FP12 instance to an octet string. <a href="#abceb500aed4eb92470b2e07c347d8934">More...</a><br /></td></tr> |
| <tr class="separator:abceb500aed4eb92470b2e07c347d8934"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a1cb1a52299b2af2840ed289f91878cbb"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#a1cb1a52299b2af2840ed289f91878cbb">FP12_FP512BN_fromOctet</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x, <a class="el" href="structoctet.html">octet</a> *S)</td></tr> |
| <tr class="memdesc:a1cb1a52299b2af2840ed289f91878cbb"><td class="mdescLeft"> </td><td class="mdescRight">Creates an FP12 instance from an octet string. <a href="#a1cb1a52299b2af2840ed289f91878cbb">More...</a><br /></td></tr> |
| <tr class="separator:a1cb1a52299b2af2840ed289f91878cbb"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:aad33e42e53a32da6e093ce2be11ecba5"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#aad33e42e53a32da6e093ce2be11ecba5">FP12_FP512BN_trace</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *t, <a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x)</td></tr> |
| <tr class="memdesc:aad33e42e53a32da6e093ce2be11ecba5"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the trace of an FP12. <a href="#aad33e42e53a32da6e093ce2be11ecba5">More...</a><br /></td></tr> |
| <tr class="separator:aad33e42e53a32da6e093ce2be11ecba5"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ac7e566d64a196d90e1885fa2b418edb3"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#ac7e566d64a196d90e1885fa2b418edb3">FP12_FP512BN_cmove</a> (<a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *x, <a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> *y, int s)</td></tr> |
| <tr class="memdesc:ac7e566d64a196d90e1885fa2b418edb3"><td class="mdescLeft"> </td><td class="mdescRight">Conditional copy of FP12 number. <a href="#ac7e566d64a196d90e1885fa2b418edb3">More...</a><br /></td></tr> |
| <tr class="separator:ac7e566d64a196d90e1885fa2b418edb3"><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:ad7da3c3186a66323a2cd55968808f253"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#ad7da3c3186a66323a2cd55968808f253">Fra_FP512BN</a></td></tr> |
| <tr class="separator:ad7da3c3186a66323a2cd55968808f253"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a99f0e0c6148339ac0862403fdc477991"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__FP512BN_8h.html#a99f0e0c6148339ac0862403fdc477991">Frb_FP512BN</a></td></tr> |
| <tr class="separator:a99f0e0c6148339ac0862403fdc477991"><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="ac7e566d64a196d90e1885fa2b418edb3"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ac7e566d64a196d90e1885fa2b418edb3">◆ </a></span>FP12_FP512BN_cmove()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP12_FP512BN_cmove </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>y</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </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>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="a7ee76f8fe47524c771f98fb4d3f6887f"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a7ee76f8fe47524c771f98fb4d3f6887f">◆ </a></span>FP12_FP512BN_compow()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP12_FP512BN_compow </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> * </td> |
| <td class="paramname"><em>c</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</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__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> </td> |
| <td class="paramname"><em>e</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</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">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="ace45decd1d3bfd3cc456b837bf411c4e"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ace45decd1d3bfd3cc456b837bf411c4e">◆ </a></span>FP12_FP512BN_conj()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP12_FP512BN_conj </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>y</em> </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="a3cbd4fddb940026a8229cd2f561a7fb9"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a3cbd4fddb940026a8229cd2f561a7fb9">◆ </a></span>FP12_FP512BN_copy()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP12_FP512BN_copy </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>y</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">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="a02d960f750136a8b403a3983c333fe5f"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a02d960f750136a8b403a3983c333fe5f">◆ </a></span>FP12_FP512BN_equals()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int FP12_FP512BN_equals </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>y</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">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="ab7ea30ea1d2239c438e0b3b4b1c1aab8"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ab7ea30ea1d2239c438e0b3b4b1c1aab8">◆ </a></span>FP12_FP512BN_frob()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP12_FP512BN_frob </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> * </td> |
| <td class="paramname"><em>f</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">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="a22dffa8afaf7127fb7872ffe01dcfee7"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a22dffa8afaf7127fb7872ffe01dcfee7">◆ </a></span>FP12_FP512BN_from_FP4()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP12_FP512BN_from_FP4 </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> * </td> |
| <td class="paramname"><em>a</em> </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="a077b2f20b0332099ceffd8060f6271d8"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a077b2f20b0332099ceffd8060f6271d8">◆ </a></span>FP12_FP512BN_from_FP4s()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP12_FP512BN_from_FP4s </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> * </td> |
| <td class="paramname"><em>a</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> * </td> |
| <td class="paramname"><em>b</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> * </td> |
| <td class="paramname"><em>c</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">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="a1cb1a52299b2af2840ed289f91878cbb"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a1cb1a52299b2af2840ed289f91878cbb">◆ </a></span>FP12_FP512BN_fromOctet()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP12_FP512BN_fromOctet </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </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> * </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>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="a6f523dabff9dad730ac68887c559a501"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a6f523dabff9dad730ac68887c559a501">◆ </a></span>FP12_FP512BN_inv()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP12_FP512BN_inv </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>y</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">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="a1f3babdd9479dd8a1c36d41936bfbbb8"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a1f3babdd9479dd8a1c36d41936bfbbb8">◆ </a></span>FP12_FP512BN_isunity()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int FP12_FP512BN_isunity </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</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 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="a19790c7b73089851d374ae9848fbfa5c"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a19790c7b73089851d374ae9848fbfa5c">◆ </a></span>FP12_FP512BN_iszilch()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int FP12_FP512BN_iszilch </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</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 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="aca56833f7f38303b704d94494b5bf375"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#aca56833f7f38303b704d94494b5bf375">◆ </a></span>FP12_FP512BN_mul()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP12_FP512BN_mul </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>y</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">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="ab6d4ed44349b1f5e0cd040f7f2e49e3e"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ab6d4ed44349b1f5e0cd040f7f2e49e3e">◆ </a></span>FP12_FP512BN_norm()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP12_FP512BN_norm </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</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 to be normalised </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a0ce2f82a834844302320126443a6b23a"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a0ce2f82a834844302320126443a6b23a">◆ </a></span>FP12_FP512BN_one()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP12_FP512BN_one </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</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 to be set to one </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a2a27106bfd2b7342d5b84154b7e76e6f"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a2a27106bfd2b7342d5b84154b7e76e6f">◆ </a></span>FP12_FP512BN_output()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP12_FP512BN_output </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</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 to be printed </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a61a4312bbace323c62d067a7335f00fd"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a61a4312bbace323c62d067a7335f00fd">◆ </a></span>FP12_FP512BN_pinpow()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP12_FP512BN_pinpow </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>i</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>b</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">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="a26aa81c34ac866aca13513bfe599b4a4"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a26aa81c34ac866aca13513bfe599b4a4">◆ </a></span>FP12_FP512BN_pow()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP12_FP512BN_pow </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>r</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</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__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</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"> |
| <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="a36ff17c7f060a381080946317fe54bef"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a36ff17c7f060a381080946317fe54bef">◆ </a></span>FP12_FP512BN_pow4()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP12_FP512BN_pow4 </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>r</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</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__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</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"> |
| <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="a91f6920c76cc68fb8baf6802817168a8"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a91f6920c76cc68fb8baf6802817168a8">◆ </a></span>FP12_FP512BN_reduce()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP12_FP512BN_reduce </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</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, on exit reduced mod Modulus </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a720b4ad3105029218be96899e519d3c0"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a720b4ad3105029218be96899e519d3c0">◆ </a></span>FP12_FP512BN_smul()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP12_FP512BN_smul </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>y</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">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="a92be596e66f4086902fc2e7b9ae74ef4"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a92be596e66f4086902fc2e7b9ae74ef4">◆ </a></span>FP12_FP512BN_sqr()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP12_FP512BN_sqr </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>y</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">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="a8a42bfbffd2a62213ca2fdc65197c105"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a8a42bfbffd2a62213ca2fdc65197c105">◆ </a></span>FP12_FP512BN_ssmul()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP12_FP512BN_ssmul </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>y</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">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="abceb500aed4eb92470b2e07c347d8934"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#abceb500aed4eb92470b2e07c347d8934">◆ </a></span>FP12_FP512BN_toOctet()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP12_FP512BN_toOctet </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structoctet.html">octet</a> * </td> |
| <td class="paramname"><em>S</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>x</em> </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="aad33e42e53a32da6e093ce2be11ecba5"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#aad33e42e53a32da6e093ce2be11ecba5">◆ </a></span>FP12_FP512BN_trace()</h2> |
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| <td class="memname">void FP12_FP512BN_trace </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> * </td> |
| <td class="paramname"><em>t</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>x</em> </td> |
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| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
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| </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> |
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| <h2 class="memtitle"><span class="permalink"><a href="#ad058910fe143f8d64cd047c79a797cb2">◆ </a></span>FP12_FP512BN_usqr()</h2> |
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| <td class="memname">void FP12_FP512BN_usqr </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</a> * </td> |
| <td class="paramname"><em>y</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
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| <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> |
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| <h2 class="memtitle"><span class="permalink"><a href="#a7f0acc7745a5cab3d72f1a0d344d6199">◆ </a></span>FP12_FP512BN_zero()</h2> |
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| <td class="memname">void FP12_FP512BN_zero </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP12__FP512BN.html">FP12_FP512BN</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 to be set to zero </td></tr> |
| </table> |
| </dd> |
| </dl> |
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| </div> |
| <h2 class="groupheader">Variable Documentation</h2> |
| <a id="ad7da3c3186a66323a2cd55968808f253"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ad7da3c3186a66323a2cd55968808f253">◆ </a></span>Fra_FP512BN</h2> |
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| <td class="memname">const <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> Fra_FP512BN</td> |
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| <p>real part of BN curve Frobenius Constant </p> |
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| </div> |
| <a id="a99f0e0c6148339ac0862403fdc477991"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a99f0e0c6148339ac0862403fdc477991">◆ </a></span>Frb_FP512BN</h2> |
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| <td class="memname">const <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> Frb_FP512BN</td> |
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| </table> |
| </div><div class="memdoc"> |
| <p>imaginary part of BN curve Frobenius Constant </p> |
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