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<a href="#nested-classes">Data Structures</a> &#124;
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<div class="title">fp2_BLS24.h File Reference</div> </div>
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<p>FP2 Header File.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &quot;<a class="el" href="fp__BLS24_8h_source.html">fp_BLS24.h</a>&quot;</code><br />
</div>
<p><a href="fp2__BLS24_8h_source.html">Go to the source code of this file.</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
Data Structures</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structFP2__BLS24.html">FP2_BLS24</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">FP2 Structure - quadratic extension field. <a href="structFP2__BLS24.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:ac37dd0cf181c2ee91b0f16c8373b6284"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#ac37dd0cf181c2ee91b0f16c8373b6284">FP2_BLS24_iszilch</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x)</td></tr>
<tr class="memdesc:ac37dd0cf181c2ee91b0f16c8373b6284"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP2 equal to zero. <a href="#ac37dd0cf181c2ee91b0f16c8373b6284">More...</a><br /></td></tr>
<tr class="separator:ac37dd0cf181c2ee91b0f16c8373b6284"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a313bb6ed04be22ef80bb04120f5d33ca"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#a313bb6ed04be22ef80bb04120f5d33ca">FP2_BLS24_cmove</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x, <a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *y, int s)</td></tr>
<tr class="memdesc:a313bb6ed04be22ef80bb04120f5d33ca"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional copy of FP2 number. <a href="#a313bb6ed04be22ef80bb04120f5d33ca">More...</a><br /></td></tr>
<tr class="separator:a313bb6ed04be22ef80bb04120f5d33ca"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af21263df633f3d7e00367184bfe6869b"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#af21263df633f3d7e00367184bfe6869b">FP2_BLS24_isunity</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x)</td></tr>
<tr class="memdesc:af21263df633f3d7e00367184bfe6869b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP2 equal to one. <a href="#af21263df633f3d7e00367184bfe6869b">More...</a><br /></td></tr>
<tr class="separator:af21263df633f3d7e00367184bfe6869b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9a64974842b6c1262edf04815ec24cc7"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#a9a64974842b6c1262edf04815ec24cc7">FP2_BLS24_equals</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x, <a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *y)</td></tr>
<tr class="memdesc:a9a64974842b6c1262edf04815ec24cc7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for equality of two FP2s. <a href="#a9a64974842b6c1262edf04815ec24cc7">More...</a><br /></td></tr>
<tr class="separator:a9a64974842b6c1262edf04815ec24cc7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8801c74a0792ae5ec31358a28b53b5c4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#a8801c74a0792ae5ec31358a28b53b5c4">FP2_BLS24_from_FPs</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x, <a class="el" href="structFP__BLS24.html">FP_BLS24</a> *a, <a class="el" href="structFP__BLS24.html">FP_BLS24</a> *b)</td></tr>
<tr class="memdesc:a8801c74a0792ae5ec31358a28b53b5c4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP2 from two FP numbers. <a href="#a8801c74a0792ae5ec31358a28b53b5c4">More...</a><br /></td></tr>
<tr class="separator:a8801c74a0792ae5ec31358a28b53b5c4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac95a845953d078d58f40880307232c47"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#ac95a845953d078d58f40880307232c47">FP2_BLS24_from_BIGs</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x, <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:ac95a845953d078d58f40880307232c47"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP2 from two BIG integers. <a href="#ac95a845953d078d58f40880307232c47">More...</a><br /></td></tr>
<tr class="separator:ac95a845953d078d58f40880307232c47"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af12b7481005431402264a59428606b3c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#af12b7481005431402264a59428606b3c">FP2_BLS24_from_FP</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x, <a class="el" href="structFP__BLS24.html">FP_BLS24</a> *a)</td></tr>
<tr class="memdesc:af12b7481005431402264a59428606b3c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP2 from single FP. <a href="#af12b7481005431402264a59428606b3c">More...</a><br /></td></tr>
<tr class="separator:af12b7481005431402264a59428606b3c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1698881eb5668ec41cced8c60cd3d7d9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#a1698881eb5668ec41cced8c60cd3d7d9">FP2_BLS24_from_BIG</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x, <a class="el" href="big__480__56_8h.html#a5bf780014d489361cffeb4dd5a89fcba">BIG_480_56</a> a)</td></tr>
<tr class="memdesc:a1698881eb5668ec41cced8c60cd3d7d9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP2 from single BIG. <a href="#a1698881eb5668ec41cced8c60cd3d7d9">More...</a><br /></td></tr>
<tr class="separator:a1698881eb5668ec41cced8c60cd3d7d9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a97469664e157dba8f5aa8b950ef47557"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#a97469664e157dba8f5aa8b950ef47557">FP2_BLS24_copy</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x, <a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *y)</td></tr>
<tr class="memdesc:a97469664e157dba8f5aa8b950ef47557"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy FP2 to another FP2. <a href="#a97469664e157dba8f5aa8b950ef47557">More...</a><br /></td></tr>
<tr class="separator:a97469664e157dba8f5aa8b950ef47557"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aeed2525e96bc18781322c98ac3a1de5c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#aeed2525e96bc18781322c98ac3a1de5c">FP2_BLS24_zero</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x)</td></tr>
<tr class="memdesc:aeed2525e96bc18781322c98ac3a1de5c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP2 to zero. <a href="#aeed2525e96bc18781322c98ac3a1de5c">More...</a><br /></td></tr>
<tr class="separator:aeed2525e96bc18781322c98ac3a1de5c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac88162d2ea81f3ea1fa44ca978ea5a46"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#ac88162d2ea81f3ea1fa44ca978ea5a46">FP2_BLS24_one</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x)</td></tr>
<tr class="memdesc:ac88162d2ea81f3ea1fa44ca978ea5a46"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP2 to unity. <a href="#ac88162d2ea81f3ea1fa44ca978ea5a46">More...</a><br /></td></tr>
<tr class="separator:ac88162d2ea81f3ea1fa44ca978ea5a46"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a76c12eaccb5df7f5283b8672635507ef"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#a76c12eaccb5df7f5283b8672635507ef">FP2_BLS24_neg</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x, <a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *y)</td></tr>
<tr class="memdesc:a76c12eaccb5df7f5283b8672635507ef"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negation of FP2. <a href="#a76c12eaccb5df7f5283b8672635507ef">More...</a><br /></td></tr>
<tr class="separator:a76c12eaccb5df7f5283b8672635507ef"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1200dff7bdfa06b4f0331bc1d893677d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#a1200dff7bdfa06b4f0331bc1d893677d">FP2_BLS24_conj</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x, <a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *y)</td></tr>
<tr class="memdesc:a1200dff7bdfa06b4f0331bc1d893677d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conjugation of FP2. <a href="#a1200dff7bdfa06b4f0331bc1d893677d">More...</a><br /></td></tr>
<tr class="separator:a1200dff7bdfa06b4f0331bc1d893677d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6d6271e2717a55032084be2b43506e66"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#a6d6271e2717a55032084be2b43506e66">FP2_BLS24_add</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x, <a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *y, <a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *z)</td></tr>
<tr class="memdesc:a6d6271e2717a55032084be2b43506e66"><td class="mdescLeft">&#160;</td><td class="mdescRight">addition of two FP2s <a href="#a6d6271e2717a55032084be2b43506e66">More...</a><br /></td></tr>
<tr class="separator:a6d6271e2717a55032084be2b43506e66"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:adcf7f687ef1065a409ced72127f95c9d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#adcf7f687ef1065a409ced72127f95c9d">FP2_BLS24_sub</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x, <a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *y, <a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *z)</td></tr>
<tr class="memdesc:adcf7f687ef1065a409ced72127f95c9d"><td class="mdescLeft">&#160;</td><td class="mdescRight">subtraction of two FP2s <a href="#adcf7f687ef1065a409ced72127f95c9d">More...</a><br /></td></tr>
<tr class="separator:adcf7f687ef1065a409ced72127f95c9d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a950666b43ba2c47d87cd9b2cd8dccd21"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#a950666b43ba2c47d87cd9b2cd8dccd21">FP2_BLS24_pmul</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x, <a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *y, <a class="el" href="structFP__BLS24.html">FP_BLS24</a> *b)</td></tr>
<tr class="memdesc:a950666b43ba2c47d87cd9b2cd8dccd21"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of an FP2 by an FP. <a href="#a950666b43ba2c47d87cd9b2cd8dccd21">More...</a><br /></td></tr>
<tr class="separator:a950666b43ba2c47d87cd9b2cd8dccd21"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad87fd54c4a18dbc19d893c98e171ef09"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#ad87fd54c4a18dbc19d893c98e171ef09">FP2_BLS24_imul</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x, <a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *y, int i)</td></tr>
<tr class="memdesc:ad87fd54c4a18dbc19d893c98e171ef09"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of an FP2 by a small integer. <a href="#ad87fd54c4a18dbc19d893c98e171ef09">More...</a><br /></td></tr>
<tr class="separator:ad87fd54c4a18dbc19d893c98e171ef09"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af14188199f4a2fa04aba22d2285e04ae"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#af14188199f4a2fa04aba22d2285e04ae">FP2_BLS24_sqr</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x, <a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *y)</td></tr>
<tr class="memdesc:af14188199f4a2fa04aba22d2285e04ae"><td class="mdescLeft">&#160;</td><td class="mdescRight">Squaring an FP2. <a href="#af14188199f4a2fa04aba22d2285e04ae">More...</a><br /></td></tr>
<tr class="separator:af14188199f4a2fa04aba22d2285e04ae"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa70d9f91b5ae5150d20dd1f198582e44"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#aa70d9f91b5ae5150d20dd1f198582e44">FP2_BLS24_mul</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x, <a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *y, <a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *z)</td></tr>
<tr class="memdesc:aa70d9f91b5ae5150d20dd1f198582e44"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of two FP2s. <a href="#aa70d9f91b5ae5150d20dd1f198582e44">More...</a><br /></td></tr>
<tr class="separator:aa70d9f91b5ae5150d20dd1f198582e44"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a603ffc6c6254136feca69b67376f3e6d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#a603ffc6c6254136feca69b67376f3e6d">FP2_BLS24_output</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x)</td></tr>
<tr class="memdesc:a603ffc6c6254136feca69b67376f3e6d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP2 to the console. <a href="#a603ffc6c6254136feca69b67376f3e6d">More...</a><br /></td></tr>
<tr class="separator:a603ffc6c6254136feca69b67376f3e6d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af91d5737387963743121694e701c3fc1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#af91d5737387963743121694e701c3fc1">FP2_BLS24_rawoutput</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x)</td></tr>
<tr class="memdesc:af91d5737387963743121694e701c3fc1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP2 to the console in raw form (for debugging) <a href="#af91d5737387963743121694e701c3fc1">More...</a><br /></td></tr>
<tr class="separator:af91d5737387963743121694e701c3fc1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aff2162e8190cd5d9684bb67f7e545067"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#aff2162e8190cd5d9684bb67f7e545067">FP2_BLS24_inv</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x, <a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *y)</td></tr>
<tr class="memdesc:aff2162e8190cd5d9684bb67f7e545067"><td class="mdescLeft">&#160;</td><td class="mdescRight">Inverting an FP2. <a href="#aff2162e8190cd5d9684bb67f7e545067">More...</a><br /></td></tr>
<tr class="separator:aff2162e8190cd5d9684bb67f7e545067"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3a6d4e48f27effc00727be3f933947d4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#a3a6d4e48f27effc00727be3f933947d4">FP2_BLS24_div2</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x, <a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *y)</td></tr>
<tr class="memdesc:a3a6d4e48f27effc00727be3f933947d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP2 by 2. <a href="#a3a6d4e48f27effc00727be3f933947d4">More...</a><br /></td></tr>
<tr class="separator:a3a6d4e48f27effc00727be3f933947d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afd0fb4ca64eb0a75c93c8fa4fab3833f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#afd0fb4ca64eb0a75c93c8fa4fab3833f">FP2_BLS24_mul_ip</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x)</td></tr>
<tr class="memdesc:afd0fb4ca64eb0a75c93c8fa4fab3833f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiply an FP2 by (1+sqrt(-1)) <a href="#afd0fb4ca64eb0a75c93c8fa4fab3833f">More...</a><br /></td></tr>
<tr class="separator:afd0fb4ca64eb0a75c93c8fa4fab3833f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1928068f0131a033dd6111ddd8eed940"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#a1928068f0131a033dd6111ddd8eed940">FP2_BLS24_div_ip2</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x)</td></tr>
<tr class="memdesc:a1928068f0131a033dd6111ddd8eed940"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP2 by (1+sqrt(-1))/2 -. <a href="#a1928068f0131a033dd6111ddd8eed940">More...</a><br /></td></tr>
<tr class="separator:a1928068f0131a033dd6111ddd8eed940"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3e6c29f73813ace50fe1c59794dc6300"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#a3e6c29f73813ace50fe1c59794dc6300">FP2_BLS24_div_ip</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x)</td></tr>
<tr class="memdesc:a3e6c29f73813ace50fe1c59794dc6300"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP2 by (1+sqrt(-1)) <a href="#a3e6c29f73813ace50fe1c59794dc6300">More...</a><br /></td></tr>
<tr class="separator:a3e6c29f73813ace50fe1c59794dc6300"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a467ee96e3cae7cf785296492a67b8938"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#a467ee96e3cae7cf785296492a67b8938">FP2_BLS24_norm</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x)</td></tr>
<tr class="memdesc:a467ee96e3cae7cf785296492a67b8938"><td class="mdescLeft">&#160;</td><td class="mdescRight">Normalises the components of an FP2. <a href="#a467ee96e3cae7cf785296492a67b8938">More...</a><br /></td></tr>
<tr class="separator:a467ee96e3cae7cf785296492a67b8938"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa6da94a3e7417a3ab59310125c50da41"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#aa6da94a3e7417a3ab59310125c50da41">FP2_BLS24_reduce</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x)</td></tr>
<tr class="memdesc:aa6da94a3e7417a3ab59310125c50da41"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces all components of possibly unreduced FP2 mod Modulus. <a href="#aa6da94a3e7417a3ab59310125c50da41">More...</a><br /></td></tr>
<tr class="separator:aa6da94a3e7417a3ab59310125c50da41"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a99e0bb1b822093eca127265563753b35"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#a99e0bb1b822093eca127265563753b35">FP2_BLS24_pow</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x, <a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *y, <a class="el" href="big__480__56_8h.html#a5bf780014d489361cffeb4dd5a89fcba">BIG_480_56</a> b)</td></tr>
<tr class="memdesc:a99e0bb1b822093eca127265563753b35"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP2 to the power of a BIG. <a href="#a99e0bb1b822093eca127265563753b35">More...</a><br /></td></tr>
<tr class="separator:a99e0bb1b822093eca127265563753b35"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a89916f7b7fbedbd7d3246ccb1c293cd3"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#a89916f7b7fbedbd7d3246ccb1c293cd3">FP2_BLS24_sqrt</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x, <a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *y)</td></tr>
<tr class="memdesc:a89916f7b7fbedbd7d3246ccb1c293cd3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Square root of an FP2. <a href="#a89916f7b7fbedbd7d3246ccb1c293cd3">More...</a><br /></td></tr>
<tr class="separator:a89916f7b7fbedbd7d3246ccb1c293cd3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a812a9295f65c3fd75faae5471bafc808"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS24_8h.html#a812a9295f65c3fd75faae5471bafc808">FP2_BLS24_times_i</a> (<a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *x)</td></tr>
<tr class="memdesc:a812a9295f65c3fd75faae5471bafc808"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiply an FP2 by sqrt(-1) <a href="#a812a9295f65c3fd75faae5471bafc808">More...</a><br /></td></tr>
<tr class="separator:a812a9295f65c3fd75faae5471bafc808"><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="a6d6271e2717a55032084be2b43506e66"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6d6271e2717a55032084be2b43506e66">&#9670;&nbsp;</a></span>FP2_BLS24_add()</h2>
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<td class="memname">void FP2_BLS24_add </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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>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>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>FP2 instance, on exit = y+z </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance </td></tr>
<tr><td class="paramname">z</td><td>FP2 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a313bb6ed04be22ef80bb04120f5d33ca"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a313bb6ed04be22ef80bb04120f5d33ca">&#9670;&nbsp;</a></span>FP2_BLS24_cmove()</h2>
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<td class="memname">void FP2_BLS24_cmove </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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>y</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>s</em>&#160;</td>
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<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<p>Conditionally copies second parameter to the first (without branching) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP2 instance, set to y if s!=0 </td></tr>
<tr><td class="paramname">y</td><td>another FP2 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="a1200dff7bdfa06b4f0331bc1d893677d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1200dff7bdfa06b4f0331bc1d893677d">&#9670;&nbsp;</a></span>FP2_BLS24_conj()</h2>
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<td class="memname">void FP2_BLS24_conj </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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>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>FP2 instance, on exit = conj(y) </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a97469664e157dba8f5aa8b950ef47557"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a97469664e157dba8f5aa8b950ef47557">&#9670;&nbsp;</a></span>FP2_BLS24_copy()</h2>
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<td class="memname">void FP2_BLS24_copy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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>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>FP2 instance, on exit = y </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance to be copied </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a3a6d4e48f27effc00727be3f933947d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3a6d4e48f27effc00727be3f933947d4">&#9670;&nbsp;</a></span>FP2_BLS24_div2()</h2>
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<td class="memname">void FP2_BLS24_div2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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>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>FP2 instance, on exit = y/2 </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a3e6c29f73813ace50fe1c59794dc6300"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3e6c29f73813ace50fe1c59794dc6300">&#9670;&nbsp;</a></span>FP2_BLS24_div_ip()</h2>
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<td class="memname">void FP2_BLS24_div_ip </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Note that (1+sqrt(-1)) is irreducible for FP4 </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP2 instance, on exit = x/(1+sqrt(-1)) </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a1928068f0131a033dd6111ddd8eed940"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1928068f0131a033dd6111ddd8eed940">&#9670;&nbsp;</a></span>FP2_BLS24_div_ip2()</h2>
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<td class="memname">void FP2_BLS24_div_ip2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Note that (1+sqrt(-1)) is irreducible for FP4 </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP2 instance, on exit = 2x/(1+sqrt(-1)) </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a9a64974842b6c1262edf04815ec24cc7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9a64974842b6c1262edf04815ec24cc7">&#9670;&nbsp;</a></span>FP2_BLS24_equals()</h2>
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<td class="memname">int FP2_BLS24_equals </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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>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>FP2 instance to be compared </td></tr>
<tr><td class="paramname">y</td><td>FP2 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="a1698881eb5668ec41cced8c60cd3d7d9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1698881eb5668ec41cced8c60cd3d7d9">&#9670;&nbsp;</a></span>FP2_BLS24_from_BIG()</h2>
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<td class="memname">void FP2_BLS24_from_BIG </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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>a</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<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>FP2 instance to be initialised </td></tr>
<tr><td class="paramname">a</td><td>BIG to form real part of FP2 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ac95a845953d078d58f40880307232c47"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac95a845953d078d58f40880307232c47">&#9670;&nbsp;</a></span>FP2_BLS24_from_BIGs()</h2>
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<td class="memname">void FP2_BLS24_from_BIGs </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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>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">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP2 instance to be initialised </td></tr>
<tr><td class="paramname">a</td><td>BIG to form real part of FP2 </td></tr>
<tr><td class="paramname">b</td><td>BIG to form imaginary part of FP2 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="af12b7481005431402264a59428606b3c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af12b7481005431402264a59428606b3c">&#9670;&nbsp;</a></span>FP2_BLS24_from_FP()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP2_BLS24_from_FP </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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="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">
<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>FP2 instance to be initialised </td></tr>
<tr><td class="paramname">a</td><td>FP to form real part of FP2 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a8801c74a0792ae5ec31358a28b53b5c4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8801c74a0792ae5ec31358a28b53b5c4">&#9670;&nbsp;</a></span>FP2_BLS24_from_FPs()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP2_BLS24_from_FPs </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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="structFP__BLS24.html">FP_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="structFP__BLS24.html">FP_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>FP2 instance to be initialised </td></tr>
<tr><td class="paramname">a</td><td>FP to form real part of FP2 </td></tr>
<tr><td class="paramname">b</td><td>FP to form imaginary part of FP2 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ad87fd54c4a18dbc19d893c98e171ef09"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad87fd54c4a18dbc19d893c98e171ef09">&#9670;&nbsp;</a></span>FP2_BLS24_imul()</h2>
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<div class="memproto">
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<td class="memname">void FP2_BLS24_imul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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>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>FP2 instance, on exit = y*i </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance </td></tr>
<tr><td class="paramname">i</td><td>an integer </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="aff2162e8190cd5d9684bb67f7e545067"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aff2162e8190cd5d9684bb67f7e545067">&#9670;&nbsp;</a></span>FP2_BLS24_inv()</h2>
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<div class="memproto">
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<td class="memname">void FP2_BLS24_inv </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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>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>FP2 instance, on exit = 1/y </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="af21263df633f3d7e00367184bfe6869b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af21263df633f3d7e00367184bfe6869b">&#9670;&nbsp;</a></span>FP2_BLS24_isunity()</h2>
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<div class="memproto">
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<td class="memname">int FP2_BLS24_isunity </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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>FP2 instance to be tested </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 if x=1, else returns 0 </dd></dl>
</div>
</div>
<a id="ac37dd0cf181c2ee91b0f16c8373b6284"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac37dd0cf181c2ee91b0f16c8373b6284">&#9670;&nbsp;</a></span>FP2_BLS24_iszilch()</h2>
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<div class="memproto">
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<td class="memname">int FP2_BLS24_iszilch </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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>FP2 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="aa70d9f91b5ae5150d20dd1f198582e44"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa70d9f91b5ae5150d20dd1f198582e44">&#9670;&nbsp;</a></span>FP2_BLS24_mul()</h2>
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<div class="memproto">
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<td class="memname">void FP2_BLS24_mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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>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>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>FP2 instance, on exit = y*z </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance </td></tr>
<tr><td class="paramname">z</td><td>FP2 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="afd0fb4ca64eb0a75c93c8fa4fab3833f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#afd0fb4ca64eb0a75c93c8fa4fab3833f">&#9670;&nbsp;</a></span>FP2_BLS24_mul_ip()</h2>
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<div class="memproto">
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<td class="memname">void FP2_BLS24_mul_ip </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Note that (1+sqrt(-1)) is irreducible for FP4 </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP2 instance, on exit = x*(1+sqrt(-1)) </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a76c12eaccb5df7f5283b8672635507ef"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a76c12eaccb5df7f5283b8672635507ef">&#9670;&nbsp;</a></span>FP2_BLS24_neg()</h2>
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<div class="memproto">
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<td class="memname">void FP2_BLS24_neg </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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>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>FP2 instance, on exit = -y </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a467ee96e3cae7cf785296492a67b8938"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a467ee96e3cae7cf785296492a67b8938">&#9670;&nbsp;</a></span>FP2_BLS24_norm()</h2>
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<div class="memproto">
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<td class="memname">void FP2_BLS24_norm </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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>FP2 instance to be normalised </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ac88162d2ea81f3ea1fa44ca978ea5a46"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac88162d2ea81f3ea1fa44ca978ea5a46">&#9670;&nbsp;</a></span>FP2_BLS24_one()</h2>
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<div class="memproto">
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<td class="memname">void FP2_BLS24_one </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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>FP2 instance to be set to one </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a603ffc6c6254136feca69b67376f3e6d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a603ffc6c6254136feca69b67376f3e6d">&#9670;&nbsp;</a></span>FP2_BLS24_output()</h2>
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<div class="memproto">
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<td class="memname">void FP2_BLS24_output </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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>FP2 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a950666b43ba2c47d87cd9b2cd8dccd21"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a950666b43ba2c47d87cd9b2cd8dccd21">&#9670;&nbsp;</a></span>FP2_BLS24_pmul()</h2>
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<div class="memproto">
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<td class="memname">void FP2_BLS24_pmul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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>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>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>FP2 instance, on exit = y*b </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance </td></tr>
<tr><td class="paramname">b</td><td>FP residue </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a99e0bb1b822093eca127265563753b35"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a99e0bb1b822093eca127265563753b35">&#9670;&nbsp;</a></span>FP2_BLS24_pow()</h2>
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<td class="memname">void FP2_BLS24_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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>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>FP2 instance, on exit = y^b </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance </td></tr>
<tr><td class="paramname">b</td><td>BIG number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="af91d5737387963743121694e701c3fc1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af91d5737387963743121694e701c3fc1">&#9670;&nbsp;</a></span>FP2_BLS24_rawoutput()</h2>
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<div class="memproto">
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<td class="memname">void FP2_BLS24_rawoutput </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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>FP2 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="aa6da94a3e7417a3ab59310125c50da41"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa6da94a3e7417a3ab59310125c50da41">&#9670;&nbsp;</a></span>FP2_BLS24_reduce()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP2_BLS24_reduce </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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>FP2 instance, on exit reduced mod Modulus </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="af14188199f4a2fa04aba22d2285e04ae"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af14188199f4a2fa04aba22d2285e04ae">&#9670;&nbsp;</a></span>FP2_BLS24_sqr()</h2>
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<div class="memproto">
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<td class="memname">void FP2_BLS24_sqr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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>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>FP2 instance, on exit = y^2 </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a89916f7b7fbedbd7d3246ccb1c293cd3"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a89916f7b7fbedbd7d3246ccb1c293cd3">&#9670;&nbsp;</a></span>FP2_BLS24_sqrt()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">int FP2_BLS24_sqrt </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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>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>FP2 instance, on exit = sqrt(y) </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="adcf7f687ef1065a409ced72127f95c9d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#adcf7f687ef1065a409ced72127f95c9d">&#9670;&nbsp;</a></span>FP2_BLS24_sub()</h2>
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<td class="memname">void FP2_BLS24_sub </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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>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>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>FP2 instance, on exit = y-z </td></tr>
<tr><td class="paramname">y</td><td>FP2 instance </td></tr>
<tr><td class="paramname">z</td><td>FP2 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a812a9295f65c3fd75faae5471bafc808"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a812a9295f65c3fd75faae5471bafc808">&#9670;&nbsp;</a></span>FP2_BLS24_times_i()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP2_BLS24_times_i </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_BLS24</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Note that -1 is QNR </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP2 instance, on exit = x*sqrt(-1) </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="aeed2525e96bc18781322c98ac3a1de5c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aeed2525e96bc18781322c98ac3a1de5c">&#9670;&nbsp;</a></span>FP2_BLS24_zero()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP2_BLS24_zero </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS24.html">FP2_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>FP2 instance to be set to zero </td></tr>
</table>
</dd>
</dl>
</div>
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