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<a href="#nested-classes">Data Structures</a> &#124;
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<p>FP4 Header File.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &quot;<a class="el" href="fp2__BLS24_8h_source.html">fp2_BLS24.h</a>&quot;</code><br />
<code>#include &quot;config_curve_BLS24.h&quot;</code><br />
</div>
<p><a href="fp4__BLS24_8h_source.html">Go to the source code of this file.</a></p>
<table class="memberdecls">
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Data Structures</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">FP4 Structure - towered over two FP2. <a href="structFP4__BLS24.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:a12912abdd589b9e6342f5a279ada862a"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#a12912abdd589b9e6342f5a279ada862a">FP4_BLS24_iszilch</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x)</td></tr>
<tr class="memdesc:a12912abdd589b9e6342f5a279ada862a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP4 equal to zero. <a href="#a12912abdd589b9e6342f5a279ada862a">More...</a><br /></td></tr>
<tr class="separator:a12912abdd589b9e6342f5a279ada862a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5977613624843bd02a5580e265e2b6e8"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#a5977613624843bd02a5580e265e2b6e8">FP4_BLS24_isunity</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x)</td></tr>
<tr class="memdesc:a5977613624843bd02a5580e265e2b6e8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP4 equal to unity. <a href="#a5977613624843bd02a5580e265e2b6e8">More...</a><br /></td></tr>
<tr class="separator:a5977613624843bd02a5580e265e2b6e8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6d504373f6d14c8052cab95060f9c6c1"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#a6d504373f6d14c8052cab95060f9c6c1">FP4_BLS24_equals</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *y)</td></tr>
<tr class="memdesc:a6d504373f6d14c8052cab95060f9c6c1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for equality of two FP4s. <a href="#a6d504373f6d14c8052cab95060f9c6c1">More...</a><br /></td></tr>
<tr class="separator:a6d504373f6d14c8052cab95060f9c6c1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af8c7823949978a925ef66ec409dfe022"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#af8c7823949978a925ef66ec409dfe022">FP4_BLS24_isreal</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x)</td></tr>
<tr class="memdesc:af8c7823949978a925ef66ec409dfe022"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP4 having only a real part and no imaginary part. <a href="#af8c7823949978a925ef66ec409dfe022">More...</a><br /></td></tr>
<tr class="separator:af8c7823949978a925ef66ec409dfe022"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a67f4af603fbd0d35423490ad353370b0"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#a67f4af603fbd0d35423490ad353370b0">FP4_BLS24_from_FP2s</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x, <a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *a, <a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *b)</td></tr>
<tr class="memdesc:a67f4af603fbd0d35423490ad353370b0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP4 from two FP2s. <a href="#a67f4af603fbd0d35423490ad353370b0">More...</a><br /></td></tr>
<tr class="separator:a67f4af603fbd0d35423490ad353370b0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab2a2958935aba1b7557b8739bc99ce6e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#ab2a2958935aba1b7557b8739bc99ce6e">FP4_BLS24_from_FP2</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x, <a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *a)</td></tr>
<tr class="memdesc:ab2a2958935aba1b7557b8739bc99ce6e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP4 from single FP2. <a href="#ab2a2958935aba1b7557b8739bc99ce6e">More...</a><br /></td></tr>
<tr class="separator:ab2a2958935aba1b7557b8739bc99ce6e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa9d366e3cb26180c3e8a13a5b2b83217"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#aa9d366e3cb26180c3e8a13a5b2b83217">FP4_BLS24_from_FP2H</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x, <a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *a)</td></tr>
<tr class="memdesc:aa9d366e3cb26180c3e8a13a5b2b83217"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP4 from single FP2. <a href="#aa9d366e3cb26180c3e8a13a5b2b83217">More...</a><br /></td></tr>
<tr class="separator:aa9d366e3cb26180c3e8a13a5b2b83217"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae48a05f1f020de218ccc23b3923d42f5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#ae48a05f1f020de218ccc23b3923d42f5">FP4_BLS24_copy</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *y)</td></tr>
<tr class="memdesc:ae48a05f1f020de218ccc23b3923d42f5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy FP4 to another FP4. <a href="#ae48a05f1f020de218ccc23b3923d42f5">More...</a><br /></td></tr>
<tr class="separator:ae48a05f1f020de218ccc23b3923d42f5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aed91df9abd5ca7ecd1733abaf7794e5d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#aed91df9abd5ca7ecd1733abaf7794e5d">FP4_BLS24_zero</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x)</td></tr>
<tr class="memdesc:aed91df9abd5ca7ecd1733abaf7794e5d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP4 to zero. <a href="#aed91df9abd5ca7ecd1733abaf7794e5d">More...</a><br /></td></tr>
<tr class="separator:aed91df9abd5ca7ecd1733abaf7794e5d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abd676ba46b4cf11e1de84dd90130468c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#abd676ba46b4cf11e1de84dd90130468c">FP4_BLS24_one</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x)</td></tr>
<tr class="memdesc:abd676ba46b4cf11e1de84dd90130468c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP4 to unity. <a href="#abd676ba46b4cf11e1de84dd90130468c">More...</a><br /></td></tr>
<tr class="separator:abd676ba46b4cf11e1de84dd90130468c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1ae64287abbacdc5cb1545c2168b5e9b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#a1ae64287abbacdc5cb1545c2168b5e9b">FP4_BLS24_neg</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *y)</td></tr>
<tr class="memdesc:a1ae64287abbacdc5cb1545c2168b5e9b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negation of FP4. <a href="#a1ae64287abbacdc5cb1545c2168b5e9b">More...</a><br /></td></tr>
<tr class="separator:a1ae64287abbacdc5cb1545c2168b5e9b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7e061d25e2d61828ebade0e07dceb459"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#a7e061d25e2d61828ebade0e07dceb459">FP4_BLS24_conj</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *y)</td></tr>
<tr class="memdesc:a7e061d25e2d61828ebade0e07dceb459"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conjugation of FP4. <a href="#a7e061d25e2d61828ebade0e07dceb459">More...</a><br /></td></tr>
<tr class="separator:a7e061d25e2d61828ebade0e07dceb459"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a21e113d9f008d76ba316c21f8941a2de"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#a21e113d9f008d76ba316c21f8941a2de">FP4_BLS24_nconj</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *y)</td></tr>
<tr class="memdesc:a21e113d9f008d76ba316c21f8941a2de"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negative conjugation of FP4. <a href="#a21e113d9f008d76ba316c21f8941a2de">More...</a><br /></td></tr>
<tr class="separator:a21e113d9f008d76ba316c21f8941a2de"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:acdfe69511baca15113ed759bcddccdb1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#acdfe69511baca15113ed759bcddccdb1">FP4_BLS24_add</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *y, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *z)</td></tr>
<tr class="memdesc:acdfe69511baca15113ed759bcddccdb1"><td class="mdescLeft">&#160;</td><td class="mdescRight">addition of two FP4s <a href="#acdfe69511baca15113ed759bcddccdb1">More...</a><br /></td></tr>
<tr class="separator:acdfe69511baca15113ed759bcddccdb1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af2c12f6f87a5fcc0c7b3b3f0e7db8312"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#af2c12f6f87a5fcc0c7b3b3f0e7db8312">FP4_BLS24_sub</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *y, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *z)</td></tr>
<tr class="memdesc:af2c12f6f87a5fcc0c7b3b3f0e7db8312"><td class="mdescLeft">&#160;</td><td class="mdescRight">subtraction of two FP4s <a href="#af2c12f6f87a5fcc0c7b3b3f0e7db8312">More...</a><br /></td></tr>
<tr class="separator:af2c12f6f87a5fcc0c7b3b3f0e7db8312"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7e3c6ae7813793284acc65ff42df93be"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#a7e3c6ae7813793284acc65ff42df93be">FP4_BLS24_pmul</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *y, <a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *a)</td></tr>
<tr class="memdesc:a7e3c6ae7813793284acc65ff42df93be"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of an FP4 by an FP2. <a href="#a7e3c6ae7813793284acc65ff42df93be">More...</a><br /></td></tr>
<tr class="separator:a7e3c6ae7813793284acc65ff42df93be"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a15a066a8329ea6f5feb7c471303dd054"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#a15a066a8329ea6f5feb7c471303dd054">FP4_BLS24_qmul</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *y, <a class="el" href="structFP__BLS24.html">FP_BLS24</a> *a)</td></tr>
<tr class="memdesc:a15a066a8329ea6f5feb7c471303dd054"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of an FP4 by an FP. <a href="#a15a066a8329ea6f5feb7c471303dd054">More...</a><br /></td></tr>
<tr class="separator:a15a066a8329ea6f5feb7c471303dd054"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abbefd4a3e0b4c3629db577762186b314"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#abbefd4a3e0b4c3629db577762186b314">FP4_BLS24_imul</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *y, int i)</td></tr>
<tr class="memdesc:abbefd4a3e0b4c3629db577762186b314"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of an FP4 by a small integer. <a href="#abbefd4a3e0b4c3629db577762186b314">More...</a><br /></td></tr>
<tr class="separator:abbefd4a3e0b4c3629db577762186b314"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:acae99ec2a563570870d14cbb07df7602"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#acae99ec2a563570870d14cbb07df7602">FP4_BLS24_sqr</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *y)</td></tr>
<tr class="memdesc:acae99ec2a563570870d14cbb07df7602"><td class="mdescLeft">&#160;</td><td class="mdescRight">Squaring an FP4. <a href="#acae99ec2a563570870d14cbb07df7602">More...</a><br /></td></tr>
<tr class="separator:acae99ec2a563570870d14cbb07df7602"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abc347edcbcf0cf41c676906ee5cef282"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#abc347edcbcf0cf41c676906ee5cef282">FP4_BLS24_mul</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *y, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *z)</td></tr>
<tr class="memdesc:abc347edcbcf0cf41c676906ee5cef282"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of two FP4s. <a href="#abc347edcbcf0cf41c676906ee5cef282">More...</a><br /></td></tr>
<tr class="separator:abc347edcbcf0cf41c676906ee5cef282"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5ce587706631da3997b23ab2af25e20f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#a5ce587706631da3997b23ab2af25e20f">FP4_BLS24_inv</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *y)</td></tr>
<tr class="memdesc:a5ce587706631da3997b23ab2af25e20f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Inverting an FP4. <a href="#a5ce587706631da3997b23ab2af25e20f">More...</a><br /></td></tr>
<tr class="separator:a5ce587706631da3997b23ab2af25e20f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6119c4bd72cc838a13894878c7330e70"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#a6119c4bd72cc838a13894878c7330e70">FP4_BLS24_output</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x)</td></tr>
<tr class="memdesc:a6119c4bd72cc838a13894878c7330e70"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP4 to the console. <a href="#a6119c4bd72cc838a13894878c7330e70">More...</a><br /></td></tr>
<tr class="separator:a6119c4bd72cc838a13894878c7330e70"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7e7959ea28922c0d92486c63c2d6f8e1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#a7e7959ea28922c0d92486c63c2d6f8e1">FP4_BLS24_rawoutput</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x)</td></tr>
<tr class="memdesc:a7e7959ea28922c0d92486c63c2d6f8e1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP4 to the console in raw form (for debugging) <a href="#a7e7959ea28922c0d92486c63c2d6f8e1">More...</a><br /></td></tr>
<tr class="separator:a7e7959ea28922c0d92486c63c2d6f8e1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a86af9f623313e08d2a593b24d3d64c58"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#a86af9f623313e08d2a593b24d3d64c58">FP4_BLS24_times_i</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x)</td></tr>
<tr class="memdesc:a86af9f623313e08d2a593b24d3d64c58"><td class="mdescLeft">&#160;</td><td class="mdescRight">multiplies an FP4 instance by irreducible polynomial sqrt(1+sqrt(-1)) <a href="#a86af9f623313e08d2a593b24d3d64c58">More...</a><br /></td></tr>
<tr class="separator:a86af9f623313e08d2a593b24d3d64c58"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad12ec58c7861e94bfcc22eaf8530dfd6"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#ad12ec58c7861e94bfcc22eaf8530dfd6">FP4_BLS24_norm</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x)</td></tr>
<tr class="memdesc:ad12ec58c7861e94bfcc22eaf8530dfd6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Normalises the components of an FP4. <a href="#ad12ec58c7861e94bfcc22eaf8530dfd6">More...</a><br /></td></tr>
<tr class="separator:ad12ec58c7861e94bfcc22eaf8530dfd6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3aa991a5bf012326d19e6ac031d901c7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#a3aa991a5bf012326d19e6ac031d901c7">FP4_BLS24_reduce</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x)</td></tr>
<tr class="memdesc:a3aa991a5bf012326d19e6ac031d901c7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces all components of possibly unreduced FP4 mod Modulus. <a href="#a3aa991a5bf012326d19e6ac031d901c7">More...</a><br /></td></tr>
<tr class="separator:a3aa991a5bf012326d19e6ac031d901c7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9c5fbdc552a61490f7eb6d28f31dbadb"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#a9c5fbdc552a61490f7eb6d28f31dbadb">FP4_BLS24_pow</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *y, <a class="el" href="big__480__56_8h.html#a5bf780014d489361cffeb4dd5a89fcba">BIG_480_56</a> b)</td></tr>
<tr class="memdesc:a9c5fbdc552a61490f7eb6d28f31dbadb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP4 to the power of a BIG. <a href="#a9c5fbdc552a61490f7eb6d28f31dbadb">More...</a><br /></td></tr>
<tr class="separator:a9c5fbdc552a61490f7eb6d28f31dbadb"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8f4395c5a6e505d407714a048d4163b9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#a8f4395c5a6e505d407714a048d4163b9">FP4_BLS24_frob</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x, <a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *f)</td></tr>
<tr class="memdesc:a8f4395c5a6e505d407714a048d4163b9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP4 to the power of the internal modulus p, using the Frobenius. <a href="#a8f4395c5a6e505d407714a048d4163b9">More...</a><br /></td></tr>
<tr class="separator:a8f4395c5a6e505d407714a048d4163b9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a94b3a23253c038f20bdc312145ed5380"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#a94b3a23253c038f20bdc312145ed5380">FP4_BLS24_xtr_A</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *r, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *w, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *y, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *z)</td></tr>
<tr class="memdesc:a94b3a23253c038f20bdc312145ed5380"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the XTR addition function r=w*x-conj(x)*y+z. <a href="#a94b3a23253c038f20bdc312145ed5380">More...</a><br /></td></tr>
<tr class="separator:a94b3a23253c038f20bdc312145ed5380"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aafbe6ac150fbdf3fed35c52ad7291d64"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#aafbe6ac150fbdf3fed35c52ad7291d64">FP4_BLS24_xtr_D</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *r, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x)</td></tr>
<tr class="memdesc:aafbe6ac150fbdf3fed35c52ad7291d64"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the XTR doubling function r=x^2-2*conj(x) <a href="#aafbe6ac150fbdf3fed35c52ad7291d64">More...</a><br /></td></tr>
<tr class="separator:aafbe6ac150fbdf3fed35c52ad7291d64"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8d3df7018ef9e32ae6294ac4a0841b73"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#a8d3df7018ef9e32ae6294ac4a0841b73">FP4_BLS24_xtr_pow</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *r, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x, <a class="el" href="big__480__56_8h.html#a5bf780014d489361cffeb4dd5a89fcba">BIG_480_56</a> b)</td></tr>
<tr class="memdesc:a8d3df7018ef9e32ae6294ac4a0841b73"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates FP4 trace of an FP12 raised to the power of a BIG number. <a href="#a8d3df7018ef9e32ae6294ac4a0841b73">More...</a><br /></td></tr>
<tr class="separator:a8d3df7018ef9e32ae6294ac4a0841b73"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afcc6c27e49775538ce9c141d61f3f4ad"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#afcc6c27e49775538ce9c141d61f3f4ad">FP4_BLS24_xtr_pow2</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *r, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *c, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *d, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *e, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *f, <a class="el" href="big__480__56_8h.html#a5bf780014d489361cffeb4dd5a89fcba">BIG_480_56</a> a, <a class="el" href="big__480__56_8h.html#a5bf780014d489361cffeb4dd5a89fcba">BIG_480_56</a> b)</td></tr>
<tr class="memdesc:afcc6c27e49775538ce9c141d61f3f4ad"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates FP4 trace of c^a.d^b, where c and d are derived from FP4 traces of FP12s. <a href="#afcc6c27e49775538ce9c141d61f3f4ad">More...</a><br /></td></tr>
<tr class="separator:afcc6c27e49775538ce9c141d61f3f4ad"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac069ebcacb6f97055c39272cc645b287"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#ac069ebcacb6f97055c39272cc645b287">FP4_BLS24_cmove</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *y, int s)</td></tr>
<tr class="memdesc:ac069ebcacb6f97055c39272cc645b287"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional copy of FP4 number. <a href="#ac069ebcacb6f97055c39272cc645b287">More...</a><br /></td></tr>
<tr class="separator:ac069ebcacb6f97055c39272cc645b287"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a288ad04e1ac4251390be909f91135ea0"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#a288ad04e1ac4251390be909f91135ea0">FP4_BLS24_sqrt</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *r, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x)</td></tr>
<tr class="memdesc:a288ad04e1ac4251390be909f91135ea0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate square root of an FP4. <a href="#a288ad04e1ac4251390be909f91135ea0">More...</a><br /></td></tr>
<tr class="separator:a288ad04e1ac4251390be909f91135ea0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7064e736f52002e755612d0a10878e36"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#a7064e736f52002e755612d0a10878e36">FP4_BLS24_div_i</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x)</td></tr>
<tr class="memdesc:a7064e736f52002e755612d0a10878e36"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide FP4 number by QNR. <a href="#a7064e736f52002e755612d0a10878e36">More...</a><br /></td></tr>
<tr class="separator:a7064e736f52002e755612d0a10878e36"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac75f2b5f3125e44e71c87e3a8f523906"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#ac75f2b5f3125e44e71c87e3a8f523906">FP4_BLS24_div_2i</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x)</td></tr>
<tr class="memdesc:ac75f2b5f3125e44e71c87e3a8f523906"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP4 by QNR/2. <a href="#ac75f2b5f3125e44e71c87e3a8f523906">More...</a><br /></td></tr>
<tr class="separator:ac75f2b5f3125e44e71c87e3a8f523906"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a65ea2b48cdfe5d414c19d4a529dd5be0"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS24_8h.html#a65ea2b48cdfe5d414c19d4a529dd5be0">FP4_BLS24_div2</a> (<a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *x, <a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *y)</td></tr>
<tr class="memdesc:a65ea2b48cdfe5d414c19d4a529dd5be0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP4 by 2. <a href="#a65ea2b48cdfe5d414c19d4a529dd5be0">More...</a><br /></td></tr>
<tr class="separator:a65ea2b48cdfe5d414c19d4a529dd5be0"><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="acdfe69511baca15113ed759bcddccdb1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#acdfe69511baca15113ed759bcddccdb1">&#9670;&nbsp;</a></span>FP4_BLS24_add()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS24_add </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24.html">FP4_BLS24</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *&#160;</td>
<td class="paramname"><em>z</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>FP4 instance, on exit = y+z </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">z</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ac069ebcacb6f97055c39272cc645b287"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac069ebcacb6f97055c39272cc645b287">&#9670;&nbsp;</a></span>FP4_BLS24_cmove()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
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<td class="memname">void FP4_BLS24_cmove </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24.html">FP4_BLS24</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>s</em>&#160;</td>
</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>FP4 instance, set to y if s!=0 </td></tr>
<tr><td class="paramname">y</td><td>another FP4 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="a7e061d25e2d61828ebade0e07dceb459"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7e061d25e2d61828ebade0e07dceb459">&#9670;&nbsp;</a></span>FP4_BLS24_conj()</h2>
<div class="memitem">
<div class="memproto">
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<td class="memname">void FP4_BLS24_conj </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24.html">FP4_BLS24</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>If y=(a,b) on exit x=(a,-b) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = conj(y) </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ae48a05f1f020de218ccc23b3923d42f5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae48a05f1f020de218ccc23b3923d42f5">&#9670;&nbsp;</a></span>FP4_BLS24_copy()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS24_copy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24.html">FP4_BLS24</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>FP4 instance, on exit = y </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance to be copied </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a65ea2b48cdfe5d414c19d4a529dd5be0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a65ea2b48cdfe5d414c19d4a529dd5be0">&#9670;&nbsp;</a></span>FP4_BLS24_div2()</h2>
<div class="memitem">
<div class="memproto">
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<td class="memname">void FP4_BLS24_div2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24.html">FP4_BLS24</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>FP4 instance, on exit = y/2 </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ac75f2b5f3125e44e71c87e3a8f523906"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac75f2b5f3125e44e71c87e3a8f523906">&#9670;&nbsp;</a></span>FP4_BLS24_div_2i()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS24_div_2i </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Divide FP4 by the QNR/2 </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a7064e736f52002e755612d0a10878e36"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7064e736f52002e755612d0a10878e36">&#9670;&nbsp;</a></span>FP4_BLS24_div_i()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS24_div_i </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Divide FP4 by the QNR </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a6d504373f6d14c8052cab95060f9c6c1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6d504373f6d14c8052cab95060f9c6c1">&#9670;&nbsp;</a></span>FP4_BLS24_equals()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP4_BLS24_equals </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24.html">FP4_BLS24</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>FP4 instance to be compared </td></tr>
<tr><td class="paramname">y</td><td>FP4 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="a8f4395c5a6e505d407714a048d4163b9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8f4395c5a6e505d407714a048d4163b9">&#9670;&nbsp;</a></span>FP4_BLS24_frob()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS24_frob </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24.html">FP2_BLS24</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>FP4 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="ab2a2958935aba1b7557b8739bc99ce6e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab2a2958935aba1b7557b8739bc99ce6e">&#9670;&nbsp;</a></span>FP4_BLS24_from_FP2()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP4_BLS24_from_FP2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24.html">FP2_BLS24</a> *&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Imaginary part is set to zero </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance to be initialised </td></tr>
<tr><td class="paramname">a</td><td>FP2 to form real part of FP4 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="aa9d366e3cb26180c3e8a13a5b2b83217"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa9d366e3cb26180c3e8a13a5b2b83217">&#9670;&nbsp;</a></span>FP4_BLS24_from_FP2H()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP4_BLS24_from_FP2H </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24.html">FP2_BLS24</a> *&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>real part is set to zero </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance to be initialised </td></tr>
<tr><td class="paramname">a</td><td>FP2 to form imaginary part of FP4 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a67f4af603fbd0d35423490ad353370b0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a67f4af603fbd0d35423490ad353370b0">&#9670;&nbsp;</a></span>FP4_BLS24_from_FP2s()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP4_BLS24_from_FP2s </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24.html">FP2_BLS24</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="structFP2__BLS24.html">FP2_BLS24</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">x</td><td>FP4 instance to be initialised </td></tr>
<tr><td class="paramname">a</td><td>FP2 to form real part of FP4 </td></tr>
<tr><td class="paramname">b</td><td>FP2 to form imaginary part of FP4 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="abbefd4a3e0b4c3629db577762186b314"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abbefd4a3e0b4c3629db577762186b314">&#9670;&nbsp;</a></span>FP4_BLS24_imul()</h2>
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<div class="memproto">
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<td class="memname">void FP4_BLS24_imul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24.html">FP4_BLS24</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>i</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>FP4 instance, on exit = y*i </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">i</td><td>an integer </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a5ce587706631da3997b23ab2af25e20f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5ce587706631da3997b23ab2af25e20f">&#9670;&nbsp;</a></span>FP4_BLS24_inv()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP4_BLS24_inv </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24.html">FP4_BLS24</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>FP4 instance, on exit = 1/y </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="af8c7823949978a925ef66ec409dfe022"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af8c7823949978a925ef66ec409dfe022">&#9670;&nbsp;</a></span>FP4_BLS24_isreal()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">int FP4_BLS24_isreal </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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>FP4 number to be tested </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 if real, else returns 0 </dd></dl>
</div>
</div>
<a id="a5977613624843bd02a5580e265e2b6e8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5977613624843bd02a5580e265e2b6e8">&#9670;&nbsp;</a></span>FP4_BLS24_isunity()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP4_BLS24_isunity </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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>FP4 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="a12912abdd589b9e6342f5a279ada862a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a12912abdd589b9e6342f5a279ada862a">&#9670;&nbsp;</a></span>FP4_BLS24_iszilch()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP4_BLS24_iszilch </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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>FP4 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="abc347edcbcf0cf41c676906ee5cef282"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abc347edcbcf0cf41c676906ee5cef282">&#9670;&nbsp;</a></span>FP4_BLS24_mul()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP4_BLS24_mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24.html">FP4_BLS24</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *&#160;</td>
<td class="paramname"><em>z</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>FP4 instance, on exit = y*z </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">z</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a21e113d9f008d76ba316c21f8941a2de"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a21e113d9f008d76ba316c21f8941a2de">&#9670;&nbsp;</a></span>FP4_BLS24_nconj()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS24_nconj </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24.html">FP4_BLS24</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>If y=(a,b) on exit x=(-a,b) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = -conj(y) </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a1ae64287abbacdc5cb1545c2168b5e9b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1ae64287abbacdc5cb1545c2168b5e9b">&#9670;&nbsp;</a></span>FP4_BLS24_neg()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP4_BLS24_neg </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24.html">FP4_BLS24</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>FP4 instance, on exit = -y </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ad12ec58c7861e94bfcc22eaf8530dfd6"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad12ec58c7861e94bfcc22eaf8530dfd6">&#9670;&nbsp;</a></span>FP4_BLS24_norm()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS24_norm </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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>FP4 instance to be normalised </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="abd676ba46b4cf11e1de84dd90130468c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abd676ba46b4cf11e1de84dd90130468c">&#9670;&nbsp;</a></span>FP4_BLS24_one()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS24_one </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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>FP4 instance to be set to one </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a6119c4bd72cc838a13894878c7330e70"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6119c4bd72cc838a13894878c7330e70">&#9670;&nbsp;</a></span>FP4_BLS24_output()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS24_output </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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>FP4 instance to be printed </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a7e3c6ae7813793284acc65ff42df93be"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7e3c6ae7813793284acc65ff42df93be">&#9670;&nbsp;</a></span>FP4_BLS24_pmul()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS24_pmul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24.html">FP4_BLS24</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = y*a </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">a</td><td>FP2 multiplier </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a9c5fbdc552a61490f7eb6d28f31dbadb"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9c5fbdc552a61490f7eb6d28f31dbadb">&#9670;&nbsp;</a></span>FP4_BLS24_pow()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS24_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24.html">FP4_BLS24</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__480__56_8h.html#a5bf780014d489361cffeb4dd5a89fcba">BIG_480_56</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">x</td><td>FP4 instance, on exit = y^b </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">b</td><td>BIG number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a15a066a8329ea6f5feb7c471303dd054"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a15a066a8329ea6f5feb7c471303dd054">&#9670;&nbsp;</a></span>FP4_BLS24_qmul()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS24_qmul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24.html">FP4_BLS24</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP__BLS24.html">FP_BLS24</a> *&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = y*a </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">a</td><td>FP multiplier </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a7e7959ea28922c0d92486c63c2d6f8e1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7e7959ea28922c0d92486c63c2d6f8e1">&#9670;&nbsp;</a></span>FP4_BLS24_rawoutput()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS24_rawoutput </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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>FP4 instance to be printed </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a3aa991a5bf012326d19e6ac031d901c7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3aa991a5bf012326d19e6ac031d901c7">&#9670;&nbsp;</a></span>FP4_BLS24_reduce()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS24_reduce </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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>FP4 instance, on exit reduced mod Modulus </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="acae99ec2a563570870d14cbb07df7602"></a>
<h2 class="memtitle"><span class="permalink"><a href="#acae99ec2a563570870d14cbb07df7602">&#9670;&nbsp;</a></span>FP4_BLS24_sqr()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS24_sqr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24.html">FP4_BLS24</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>FP4 instance, on exit = y^2 </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a288ad04e1ac4251390be909f91135ea0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a288ad04e1ac4251390be909f91135ea0">&#9670;&nbsp;</a></span>FP4_BLS24_sqrt()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP4_BLS24_sqrt </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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="structFP4__BLS24.html">FP4_BLS24</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>Square root </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>FP4 instance, on exit = sqrt(x) </td></tr>
<tr><td class="paramname">x</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 x is a QR, otherwise 0 </dd></dl>
</div>
</div>
<a id="af2c12f6f87a5fcc0c7b3b3f0e7db8312"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af2c12f6f87a5fcc0c7b3b3f0e7db8312">&#9670;&nbsp;</a></span>FP4_BLS24_sub()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS24_sub </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24.html">FP4_BLS24</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *&#160;</td>
<td class="paramname"><em>z</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>FP4 instance, on exit = y-z </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">z</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a86af9f623313e08d2a593b24d3d64c58"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a86af9f623313e08d2a593b24d3d64c58">&#9670;&nbsp;</a></span>FP4_BLS24_times_i()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS24_times_i </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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>FP4 instance, on exit = sqrt(1+sqrt(-1)*x </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a94b3a23253c038f20bdc312145ed5380"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a94b3a23253c038f20bdc312145ed5380">&#9670;&nbsp;</a></span>FP4_BLS24_xtr_A()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS24_xtr_A </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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="structFP4__BLS24.html">FP4_BLS24</a> *&#160;</td>
<td class="paramname"><em>w</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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__BLS24.html">FP4_BLS24</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</a> *&#160;</td>
<td class="paramname"><em>z</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>FP4 instance, on exit = w*x-conj(x)*y+z </td></tr>
<tr><td class="paramname">w</td><td>FP4 instance </td></tr>
<tr><td class="paramname">x</td><td>FP4 instance </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">z</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="aafbe6ac150fbdf3fed35c52ad7291d64"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aafbe6ac150fbdf3fed35c52ad7291d64">&#9670;&nbsp;</a></span>FP4_BLS24_xtr_D()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS24_xtr_D </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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="structFP4__BLS24.html">FP4_BLS24</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">r</td><td>FP4 instance, on exit = x^2-2*conj(x) </td></tr>
<tr><td class="paramname">x</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a8d3df7018ef9e32ae6294ac4a0841b73"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8d3df7018ef9e32ae6294ac4a0841b73">&#9670;&nbsp;</a></span>FP4_BLS24_xtr_pow()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS24_xtr_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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="structFP4__BLS24.html">FP4_BLS24</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__480__56_8h.html#a5bf780014d489361cffeb4dd5a89fcba">BIG_480_56</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">
<p>XTR single exponentiation </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>FP4 instance, on exit = trace(w^b) </td></tr>
<tr><td class="paramname">x</td><td>FP4 instance, trace of an FP12 w </td></tr>
<tr><td class="paramname">b</td><td>BIG number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="afcc6c27e49775538ce9c141d61f3f4ad"></a>
<h2 class="memtitle"><span class="permalink"><a href="#afcc6c27e49775538ce9c141d61f3f4ad">&#9670;&nbsp;</a></span>FP4_BLS24_xtr_pow2()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS24_xtr_pow2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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="structFP4__BLS24.html">FP4_BLS24</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="structFP4__BLS24.html">FP4_BLS24</a> *&#160;</td>
<td class="paramname"><em>d</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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="structFP4__BLS24.html">FP4_BLS24</a> *&#160;</td>
<td class="paramname"><em>f</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__480__56_8h.html#a5bf780014d489361cffeb4dd5a89fcba">BIG_480_56</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="big__480__56_8h.html#a5bf780014d489361cffeb4dd5a89fcba">BIG_480_56</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">
<p>XTR double exponentiation Assumes c=tr(x^m), d=tr(x^n), e=tr(x^(m-n)), f=tr(x^(m-2n)) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>FP4 instance, on exit = trace(c^a.d^b) </td></tr>
<tr><td class="paramname">c</td><td>FP4 instance, trace of an FP12 </td></tr>
<tr><td class="paramname">d</td><td>FP4 instance, trace of an FP12 </td></tr>
<tr><td class="paramname">e</td><td>FP4 instance, trace of an FP12 </td></tr>
<tr><td class="paramname">f</td><td>FP4 instance, trace of an FP12 </td></tr>
<tr><td class="paramname">a</td><td>BIG number </td></tr>
<tr><td class="paramname">b</td><td>BIG number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="aed91df9abd5ca7ecd1733abaf7794e5d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aed91df9abd5ca7ecd1733abaf7794e5d">&#9670;&nbsp;</a></span>FP4_BLS24_zero()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS24_zero </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS24.html">FP4_BLS24</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>FP4 instance to be set to zero </td></tr>
</table>
</dd>
</dl>
</div>
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