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<div class="title">fp12_BLS381.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__BLS381_8h_source.html">fp4_BLS381.h</a>&quot;</code><br />
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<p><a href="fp12__BLS381_8h_source.html">Go to the source code of this file.</a></p>
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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__BLS381.html">FP12_BLS381</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">FP12 Structure - towered over three FP4. <a href="structFP12__BLS381.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a7892e31b63f733379bf6a0f2f4aeaa50"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#a7892e31b63f733379bf6a0f2f4aeaa50">FP12_BLS381_iszilch</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x)</td></tr>
<tr class="memdesc:a7892e31b63f733379bf6a0f2f4aeaa50"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP12 equal to zero. <a href="#a7892e31b63f733379bf6a0f2f4aeaa50">More...</a><br /></td></tr>
<tr class="separator:a7892e31b63f733379bf6a0f2f4aeaa50"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a64ef347527032ae05f7ff929a8c55a8f"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#a64ef347527032ae05f7ff929a8c55a8f">FP12_BLS381_isunity</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x)</td></tr>
<tr class="memdesc:a64ef347527032ae05f7ff929a8c55a8f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP12 equal to unity. <a href="#a64ef347527032ae05f7ff929a8c55a8f">More...</a><br /></td></tr>
<tr class="separator:a64ef347527032ae05f7ff929a8c55a8f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac734f91d9ad3684dacbfb696b6372d7d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#ac734f91d9ad3684dacbfb696b6372d7d">FP12_BLS381_copy</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x, <a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *y)</td></tr>
<tr class="memdesc:ac734f91d9ad3684dacbfb696b6372d7d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy FP12 to another FP12. <a href="#ac734f91d9ad3684dacbfb696b6372d7d">More...</a><br /></td></tr>
<tr class="separator:ac734f91d9ad3684dacbfb696b6372d7d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae8329da95652e33ad54d63f9cccc3794"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#ae8329da95652e33ad54d63f9cccc3794">FP12_BLS381_one</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x)</td></tr>
<tr class="memdesc:ae8329da95652e33ad54d63f9cccc3794"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP12 to unity. <a href="#ae8329da95652e33ad54d63f9cccc3794">More...</a><br /></td></tr>
<tr class="separator:ae8329da95652e33ad54d63f9cccc3794"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af0825c586d12bedf2c57bb6ff6a085b2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#af0825c586d12bedf2c57bb6ff6a085b2">FP12_BLS381_zero</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x)</td></tr>
<tr class="memdesc:af0825c586d12bedf2c57bb6ff6a085b2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP12 to zero. <a href="#af0825c586d12bedf2c57bb6ff6a085b2">More...</a><br /></td></tr>
<tr class="separator:af0825c586d12bedf2c57bb6ff6a085b2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abb118049c2851532a69a8c295f1ca339"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#abb118049c2851532a69a8c295f1ca339">FP12_BLS381_equals</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x, <a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *y)</td></tr>
<tr class="memdesc:abb118049c2851532a69a8c295f1ca339"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for equality of two FP12s. <a href="#abb118049c2851532a69a8c295f1ca339">More...</a><br /></td></tr>
<tr class="separator:abb118049c2851532a69a8c295f1ca339"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad8a3690c74f12108d149204336392deb"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#ad8a3690c74f12108d149204336392deb">FP12_BLS381_conj</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x, <a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *y)</td></tr>
<tr class="memdesc:ad8a3690c74f12108d149204336392deb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conjugation of FP12. <a href="#ad8a3690c74f12108d149204336392deb">More...</a><br /></td></tr>
<tr class="separator:ad8a3690c74f12108d149204336392deb"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8f006c625d0b31e4ba1fc765e575877c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#a8f006c625d0b31e4ba1fc765e575877c">FP12_BLS381_from_FP4</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *a)</td></tr>
<tr class="memdesc:a8f006c625d0b31e4ba1fc765e575877c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP12 from single FP4. <a href="#a8f006c625d0b31e4ba1fc765e575877c">More...</a><br /></td></tr>
<tr class="separator:a8f006c625d0b31e4ba1fc765e575877c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac654aba5d0807b56a2e2b12ae4395759"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#ac654aba5d0807b56a2e2b12ae4395759">FP12_BLS381_from_FP4s</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *a, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *b, <a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *c)</td></tr>
<tr class="memdesc:ac654aba5d0807b56a2e2b12ae4395759"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP12 from three FP4s. <a href="#ac654aba5d0807b56a2e2b12ae4395759">More...</a><br /></td></tr>
<tr class="separator:ac654aba5d0807b56a2e2b12ae4395759"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a66a796501b3aef5a0e6e4dd33aba802a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#a66a796501b3aef5a0e6e4dd33aba802a">FP12_BLS381_usqr</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x, <a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *y)</td></tr>
<tr class="memdesc:a66a796501b3aef5a0e6e4dd33aba802a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Squaring of an FP12 in "unitary" form. <a href="#a66a796501b3aef5a0e6e4dd33aba802a">More...</a><br /></td></tr>
<tr class="separator:a66a796501b3aef5a0e6e4dd33aba802a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aca92226d2dd69eb9eb22e2bd936bab6d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#aca92226d2dd69eb9eb22e2bd936bab6d">FP12_BLS381_sqr</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x, <a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *y)</td></tr>
<tr class="memdesc:aca92226d2dd69eb9eb22e2bd936bab6d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Squaring an FP12. <a href="#aca92226d2dd69eb9eb22e2bd936bab6d">More...</a><br /></td></tr>
<tr class="separator:aca92226d2dd69eb9eb22e2bd936bab6d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a40e0532b6feed90296f8fbbcdd01c930"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#a40e0532b6feed90296f8fbbcdd01c930">FP12_BLS381_smul</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x, <a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *y)</td></tr>
<tr class="memdesc:a40e0532b6feed90296f8fbbcdd01c930"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast multiplication of two sparse FP12s that arises from ATE pairing line functions. <a href="#a40e0532b6feed90296f8fbbcdd01c930">More...</a><br /></td></tr>
<tr class="separator:a40e0532b6feed90296f8fbbcdd01c930"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa7d4274ba2fc6a2ad7703e032f761ad4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#aa7d4274ba2fc6a2ad7703e032f761ad4">FP12_BLS381_ssmul</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x, <a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *y)</td></tr>
<tr class="memdesc:aa7d4274ba2fc6a2ad7703e032f761ad4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast multiplication of what may be sparse multiplicands. <a href="#aa7d4274ba2fc6a2ad7703e032f761ad4">More...</a><br /></td></tr>
<tr class="separator:aa7d4274ba2fc6a2ad7703e032f761ad4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a02f48e31a96ad777d38bf646a1956a95"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#a02f48e31a96ad777d38bf646a1956a95">FP12_BLS381_mul</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x, <a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *y)</td></tr>
<tr class="memdesc:a02f48e31a96ad777d38bf646a1956a95"><td class="mdescLeft">&#160;</td><td class="mdescRight">Full unconditional Multiplication of two FP12s. <a href="#a02f48e31a96ad777d38bf646a1956a95">More...</a><br /></td></tr>
<tr class="separator:a02f48e31a96ad777d38bf646a1956a95"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0b85de7a59490bd2a54d4b6d7a9cd1fa"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#a0b85de7a59490bd2a54d4b6d7a9cd1fa">FP12_BLS381_inv</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x, <a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *y)</td></tr>
<tr class="memdesc:a0b85de7a59490bd2a54d4b6d7a9cd1fa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Inverting an FP12. <a href="#a0b85de7a59490bd2a54d4b6d7a9cd1fa">More...</a><br /></td></tr>
<tr class="separator:a0b85de7a59490bd2a54d4b6d7a9cd1fa"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa6d6c637e26f5324cffbf90a0dae5803"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#aa6d6c637e26f5324cffbf90a0dae5803">FP12_BLS381_pow</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *r, <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:aa6d6c637e26f5324cffbf90a0dae5803"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP12 to the power of a BIG. <a href="#aa6d6c637e26f5324cffbf90a0dae5803">More...</a><br /></td></tr>
<tr class="separator:aa6d6c637e26f5324cffbf90a0dae5803"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aab9f8aabe49e21f988d7041d56fa3a6a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#aab9f8aabe49e21f988d7041d56fa3a6a">FP12_BLS381_pinpow</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x, int i, int b)</td></tr>
<tr class="memdesc:aab9f8aabe49e21f988d7041d56fa3a6a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP12 instance x to a small integer power, side-channel resistant. <a href="#aab9f8aabe49e21f988d7041d56fa3a6a">More...</a><br /></td></tr>
<tr class="separator:aab9f8aabe49e21f988d7041d56fa3a6a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a37b20c9cef3e6f774a8a7a85272ecd27"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#a37b20c9cef3e6f774a8a7a85272ecd27">FP12_BLS381_compow</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *c, <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> e, <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> r)</td></tr>
<tr class="memdesc:a37b20c9cef3e6f774a8a7a85272ecd27"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP12 instance x to a BIG power, compressed to FP4. <a href="#a37b20c9cef3e6f774a8a7a85272ecd27">More...</a><br /></td></tr>
<tr class="separator:a37b20c9cef3e6f774a8a7a85272ecd27"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8827b5875b0ba8dc2c463d60fc194370"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#a8827b5875b0ba8dc2c463d60fc194370">FP12_BLS381_pow4</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *r, <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:a8827b5875b0ba8dc2c463d60fc194370"><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="#a8827b5875b0ba8dc2c463d60fc194370">More...</a><br /></td></tr>
<tr class="separator:a8827b5875b0ba8dc2c463d60fc194370"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad792dd2ed22ab6a8131e16f619247e53"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#ad792dd2ed22ab6a8131e16f619247e53">FP12_BLS381_frob</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x, <a class="el" href="structFP2__BLS381.html">FP2_BLS381</a> *f)</td></tr>
<tr class="memdesc:ad792dd2ed22ab6a8131e16f619247e53"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP12 to the power of the internal modulus p, using the Frobenius. <a href="#ad792dd2ed22ab6a8131e16f619247e53">More...</a><br /></td></tr>
<tr class="separator:ad792dd2ed22ab6a8131e16f619247e53"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa3974d788f6faa53d7d5f67e3f338a8a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#aa3974d788f6faa53d7d5f67e3f338a8a">FP12_BLS381_reduce</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x)</td></tr>
<tr class="memdesc:aa3974d788f6faa53d7d5f67e3f338a8a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces all components of possibly unreduced FP12 mod Modulus. <a href="#aa3974d788f6faa53d7d5f67e3f338a8a">More...</a><br /></td></tr>
<tr class="separator:aa3974d788f6faa53d7d5f67e3f338a8a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af8c4f8f84782ed95cfb9046d9486acef"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#af8c4f8f84782ed95cfb9046d9486acef">FP12_BLS381_norm</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x)</td></tr>
<tr class="memdesc:af8c4f8f84782ed95cfb9046d9486acef"><td class="mdescLeft">&#160;</td><td class="mdescRight">Normalises the components of an FP12. <a href="#af8c4f8f84782ed95cfb9046d9486acef">More...</a><br /></td></tr>
<tr class="separator:af8c4f8f84782ed95cfb9046d9486acef"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa36a4e586dd7654dcca3cbe9d6d7a33a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#aa36a4e586dd7654dcca3cbe9d6d7a33a">FP12_BLS381_output</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x)</td></tr>
<tr class="memdesc:aa36a4e586dd7654dcca3cbe9d6d7a33a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP12 to the console. <a href="#aa36a4e586dd7654dcca3cbe9d6d7a33a">More...</a><br /></td></tr>
<tr class="separator:aa36a4e586dd7654dcca3cbe9d6d7a33a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae7f83d6d505a5575abed6f59e9e75f67"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#ae7f83d6d505a5575abed6f59e9e75f67">FP12_BLS381_toOctet</a> (<a class="el" href="structoctet.html">octet</a> *S, <a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x)</td></tr>
<tr class="memdesc:ae7f83d6d505a5575abed6f59e9e75f67"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP12 instance to an octet string. <a href="#ae7f83d6d505a5575abed6f59e9e75f67">More...</a><br /></td></tr>
<tr class="separator:ae7f83d6d505a5575abed6f59e9e75f67"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:acf4096053edfca14e6bd2fcc41433abe"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#acf4096053edfca14e6bd2fcc41433abe">FP12_BLS381_fromOctet</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x, <a class="el" href="structoctet.html">octet</a> *S)</td></tr>
<tr class="memdesc:acf4096053edfca14e6bd2fcc41433abe"><td class="mdescLeft">&#160;</td><td class="mdescRight">Creates an FP12 instance from an octet string. <a href="#acf4096053edfca14e6bd2fcc41433abe">More...</a><br /></td></tr>
<tr class="separator:acf4096053edfca14e6bd2fcc41433abe"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1a81c7b5d92d860f053514c68ff9611a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#a1a81c7b5d92d860f053514c68ff9611a">FP12_BLS381_trace</a> (<a class="el" href="structFP4__BLS381.html">FP4_BLS381</a> *t, <a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x)</td></tr>
<tr class="memdesc:a1a81c7b5d92d860f053514c68ff9611a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate the trace of an FP12. <a href="#a1a81c7b5d92d860f053514c68ff9611a">More...</a><br /></td></tr>
<tr class="separator:a1a81c7b5d92d860f053514c68ff9611a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a42340635b42a4a1d0ecacc23218e7dbc"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#a42340635b42a4a1d0ecacc23218e7dbc">FP12_BLS381_cmove</a> (<a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *x, <a class="el" href="structFP12__BLS381.html">FP12_BLS381</a> *y, int s)</td></tr>
<tr class="memdesc:a42340635b42a4a1d0ecacc23218e7dbc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional copy of FP12 number. <a href="#a42340635b42a4a1d0ecacc23218e7dbc">More...</a><br /></td></tr>
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</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:a1214b4014ddfebcc990efe1f496d0698"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#a1214b4014ddfebcc990efe1f496d0698">Fra_BLS381</a></td></tr>
<tr class="separator:a1214b4014ddfebcc990efe1f496d0698"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a80db75c3cbe43f3353897b39d21e4f34"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp12__BLS381_8h.html#a80db75c3cbe43f3353897b39d21e4f34">Frb_BLS381</a></td></tr>
<tr class="separator:a80db75c3cbe43f3353897b39d21e4f34"><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="a42340635b42a4a1d0ecacc23218e7dbc"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a42340635b42a4a1d0ecacc23218e7dbc">&#9670;&nbsp;</a></span>FP12_BLS381_cmove()</h2>
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<td class="memname">void FP12_BLS381_cmove </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</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__BLS381.html">FP12_BLS381</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>s</em>&#160;</td>
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<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="a37b20c9cef3e6f774a8a7a85272ecd27"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a37b20c9cef3e6f774a8a7a85272ecd27">&#9670;&nbsp;</a></span>FP12_BLS381_compow()</h2>
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<td class="memname">void FP12_BLS381_compow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381.html">FP12_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a>&#160;</td>
<td class="paramname"><em>e</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a>&#160;</td>
<td class="paramname"><em>r</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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</table>
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<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="ad8a3690c74f12108d149204336392deb"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad8a3690c74f12108d149204336392deb">&#9670;&nbsp;</a></span>FP12_BLS381_conj()</h2>
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<td class="memname">void FP12_BLS381_conj </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</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__BLS381.html">FP12_BLS381</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
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<td></td>
<td>)</td>
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<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="ac734f91d9ad3684dacbfb696b6372d7d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac734f91d9ad3684dacbfb696b6372d7d">&#9670;&nbsp;</a></span>FP12_BLS381_copy()</h2>
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<td class="memname">void FP12_BLS381_copy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</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__BLS381.html">FP12_BLS381</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="abb118049c2851532a69a8c295f1ca339"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abb118049c2851532a69a8c295f1ca339">&#9670;&nbsp;</a></span>FP12_BLS381_equals()</h2>
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<td class="memname">int FP12_BLS381_equals </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</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__BLS381.html">FP12_BLS381</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<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="ad792dd2ed22ab6a8131e16f619247e53"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad792dd2ed22ab6a8131e16f619247e53">&#9670;&nbsp;</a></span>FP12_BLS381_frob()</h2>
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<td class="memname">void FP12_BLS381_frob </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</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__BLS381.html">FP2_BLS381</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="a8f006c625d0b31e4ba1fc765e575877c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8f006c625d0b31e4ba1fc765e575877c">&#9670;&nbsp;</a></span>FP12_BLS381_from_FP4()</h2>
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<td class="memname">void FP12_BLS381_from_FP4 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</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__BLS381.html">FP4_BLS381</a> *&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
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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="ac654aba5d0807b56a2e2b12ae4395759"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac654aba5d0807b56a2e2b12ae4395759">&#9670;&nbsp;</a></span>FP12_BLS381_from_FP4s()</h2>
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<td class="memname">void FP12_BLS381_from_FP4s </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</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__BLS381.html">FP4_BLS381</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__BLS381.html">FP4_BLS381</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__BLS381.html">FP4_BLS381</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="acf4096053edfca14e6bd2fcc41433abe"></a>
<h2 class="memtitle"><span class="permalink"><a href="#acf4096053edfca14e6bd2fcc41433abe">&#9670;&nbsp;</a></span>FP12_BLS381_fromOctet()</h2>
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<td class="memname">void FP12_BLS381_fromOctet </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</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>
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<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="a0b85de7a59490bd2a54d4b6d7a9cd1fa"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0b85de7a59490bd2a54d4b6d7a9cd1fa">&#9670;&nbsp;</a></span>FP12_BLS381_inv()</h2>
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<td class="memname">void FP12_BLS381_inv </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</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__BLS381.html">FP12_BLS381</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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</table>
</div><div class="memdoc">
<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="a64ef347527032ae05f7ff929a8c55a8f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a64ef347527032ae05f7ff929a8c55a8f">&#9670;&nbsp;</a></span>FP12_BLS381_isunity()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP12_BLS381_isunity </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</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="a7892e31b63f733379bf6a0f2f4aeaa50"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7892e31b63f733379bf6a0f2f4aeaa50">&#9670;&nbsp;</a></span>FP12_BLS381_iszilch()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP12_BLS381_iszilch </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</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="a02f48e31a96ad777d38bf646a1956a95"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a02f48e31a96ad777d38bf646a1956a95">&#9670;&nbsp;</a></span>FP12_BLS381_mul()</h2>
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<div class="memproto">
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<td class="memname">void FP12_BLS381_mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</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__BLS381.html">FP12_BLS381</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="af8c4f8f84782ed95cfb9046d9486acef"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af8c4f8f84782ed95cfb9046d9486acef">&#9670;&nbsp;</a></span>FP12_BLS381_norm()</h2>
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<td class="memname">void FP12_BLS381_norm </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</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="ae8329da95652e33ad54d63f9cccc3794"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae8329da95652e33ad54d63f9cccc3794">&#9670;&nbsp;</a></span>FP12_BLS381_one()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP12_BLS381_one </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</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="aa36a4e586dd7654dcca3cbe9d6d7a33a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa36a4e586dd7654dcca3cbe9d6d7a33a">&#9670;&nbsp;</a></span>FP12_BLS381_output()</h2>
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<div class="memproto">
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<td class="memname">void FP12_BLS381_output </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</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="aab9f8aabe49e21f988d7041d56fa3a6a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aab9f8aabe49e21f988d7041d56fa3a6a">&#9670;&nbsp;</a></span>FP12_BLS381_pinpow()</h2>
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<div class="memproto">
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<td class="memname">void FP12_BLS381_pinpow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</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="aa6d6c637e26f5324cffbf90a0dae5803"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa6d6c637e26f5324cffbf90a0dae5803">&#9670;&nbsp;</a></span>FP12_BLS381_pow()</h2>
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<div class="memproto">
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<td class="memname">void FP12_BLS381_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</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__BLS381.html">FP12_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a>&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>FP12 instance, on exit = y^b </td></tr>
<tr><td class="paramname">x</td><td>FP12 instance </td></tr>
<tr><td class="paramname">b</td><td>BIG number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a8827b5875b0ba8dc2c463d60fc194370"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8827b5875b0ba8dc2c463d60fc194370">&#9670;&nbsp;</a></span>FP12_BLS381_pow4()</h2>
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<td class="memname">void FP12_BLS381_pow4 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</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__BLS381.html">FP12_BLS381</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> *&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>FP12 instance, on exit = x[0]^b[0].x[1]^b[1].x[2]^b[2].x[3]^b[3] </td></tr>
<tr><td class="paramname">x</td><td>FP12 array with 4 FP12s </td></tr>
<tr><td class="paramname">b</td><td>BIG array of 4 exponents </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="aa3974d788f6faa53d7d5f67e3f338a8a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa3974d788f6faa53d7d5f67e3f338a8a">&#9670;&nbsp;</a></span>FP12_BLS381_reduce()</h2>
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<td class="memname">void FP12_BLS381_reduce </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</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="a40e0532b6feed90296f8fbbcdd01c930"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a40e0532b6feed90296f8fbbcdd01c930">&#9670;&nbsp;</a></span>FP12_BLS381_smul()</h2>
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<div class="memproto">
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<td class="memname">void FP12_BLS381_smul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</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__BLS381.html">FP12_BLS381</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="aca92226d2dd69eb9eb22e2bd936bab6d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aca92226d2dd69eb9eb22e2bd936bab6d">&#9670;&nbsp;</a></span>FP12_BLS381_sqr()</h2>
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<td class="memname">void FP12_BLS381_sqr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</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__BLS381.html">FP12_BLS381</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="aa7d4274ba2fc6a2ad7703e032f761ad4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa7d4274ba2fc6a2ad7703e032f761ad4">&#9670;&nbsp;</a></span>FP12_BLS381_ssmul()</h2>
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<td class="memname">void FP12_BLS381_ssmul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</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__BLS381.html">FP12_BLS381</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="ae7f83d6d505a5575abed6f59e9e75f67"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae7f83d6d505a5575abed6f59e9e75f67">&#9670;&nbsp;</a></span>FP12_BLS381_toOctet()</h2>
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<td class="memname">void FP12_BLS381_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__BLS381.html">FP12_BLS381</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="a1a81c7b5d92d860f053514c68ff9611a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1a81c7b5d92d860f053514c68ff9611a">&#9670;&nbsp;</a></span>FP12_BLS381_trace()</h2>
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<div class="memproto">
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<tr>
<td class="memname">void FP12_BLS381_trace </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS381.html">FP4_BLS381</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__BLS381.html">FP12_BLS381</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="a66a796501b3aef5a0e6e4dd33aba802a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a66a796501b3aef5a0e6e4dd33aba802a">&#9670;&nbsp;</a></span>FP12_BLS381_usqr()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP12_BLS381_usqr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</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__BLS381.html">FP12_BLS381</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="af0825c586d12bedf2c57bb6ff6a085b2"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af0825c586d12bedf2c57bb6ff6a085b2">&#9670;&nbsp;</a></span>FP12_BLS381_zero()</h2>
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<div class="memproto">
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<td class="memname">void FP12_BLS381_zero </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP12__BLS381.html">FP12_BLS381</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="a1214b4014ddfebcc990efe1f496d0698"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1214b4014ddfebcc990efe1f496d0698">&#9670;&nbsp;</a></span>Fra_BLS381</h2>
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<td class="memname">const <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> Fra_BLS381</td>
</tr>
</table>
</div><div class="memdoc">
<p>real part of BN curve Frobenius Constant </p>
</div>
</div>
<a id="a80db75c3cbe43f3353897b39d21e4f34"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a80db75c3cbe43f3353897b39d21e4f34">&#9670;&nbsp;</a></span>Frb_BLS381</h2>
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<td class="memname">const <a class="el" href="big__384__58_8h.html#ab8c68dbf8612f8f005c402a289c5da31">BIG_384_58</a> Frb_BLS381</td>
</tr>
</table>
</div><div class="memdoc">
<p>imaginary part of BN curve Frobenius Constant </p>
</div>
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