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<a href="#nested-classes">Data Structures</a> &#124;
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<div class="title">fp2_BLS48.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__BLS48_8h_source.html">fp_BLS48.h</a>&quot;</code><br />
</div>
<p><a href="fp2__BLS48_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__BLS48.html">FP2_BLS48</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">FP2 Structure - quadratic extension field. <a href="structFP2__BLS48.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:a8cf154be2dfad46b4a5a1c2ae0fe27a2"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#a8cf154be2dfad46b4a5a1c2ae0fe27a2">FP2_BLS48_iszilch</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x)</td></tr>
<tr class="memdesc:a8cf154be2dfad46b4a5a1c2ae0fe27a2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP2 equal to zero. <a href="#a8cf154be2dfad46b4a5a1c2ae0fe27a2">More...</a><br /></td></tr>
<tr class="separator:a8cf154be2dfad46b4a5a1c2ae0fe27a2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a78189879116ed2af18d68c117aed28d6"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#a78189879116ed2af18d68c117aed28d6">FP2_BLS48_cmove</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x, <a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *y, int s)</td></tr>
<tr class="memdesc:a78189879116ed2af18d68c117aed28d6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional copy of FP2 number. <a href="#a78189879116ed2af18d68c117aed28d6">More...</a><br /></td></tr>
<tr class="separator:a78189879116ed2af18d68c117aed28d6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0400df4eda4c3dae533e614aeb7923bf"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#a0400df4eda4c3dae533e614aeb7923bf">FP2_BLS48_isunity</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x)</td></tr>
<tr class="memdesc:a0400df4eda4c3dae533e614aeb7923bf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP2 equal to one. <a href="#a0400df4eda4c3dae533e614aeb7923bf">More...</a><br /></td></tr>
<tr class="separator:a0400df4eda4c3dae533e614aeb7923bf"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0178dd97f6382b6b2d9cd17641618b1d"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#a0178dd97f6382b6b2d9cd17641618b1d">FP2_BLS48_equals</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x, <a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *y)</td></tr>
<tr class="memdesc:a0178dd97f6382b6b2d9cd17641618b1d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for equality of two FP2s. <a href="#a0178dd97f6382b6b2d9cd17641618b1d">More...</a><br /></td></tr>
<tr class="separator:a0178dd97f6382b6b2d9cd17641618b1d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a67b24eff8b330eb787e25df1ee3305a8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#a67b24eff8b330eb787e25df1ee3305a8">FP2_BLS48_from_FPs</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x, <a class="el" href="structFP__BLS48.html">FP_BLS48</a> *a, <a class="el" href="structFP__BLS48.html">FP_BLS48</a> *b)</td></tr>
<tr class="memdesc:a67b24eff8b330eb787e25df1ee3305a8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP2 from two FP numbers. <a href="#a67b24eff8b330eb787e25df1ee3305a8">More...</a><br /></td></tr>
<tr class="separator:a67b24eff8b330eb787e25df1ee3305a8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8a279005af4441565de92f7fb0353806"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#a8a279005af4441565de92f7fb0353806">FP2_BLS48_from_BIGs</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x, <a class="el" href="big__560__58_8h.html#a6149450df1017dc5c4ef9e54fad78b30">BIG_560_58</a> a, <a class="el" href="big__560__58_8h.html#a6149450df1017dc5c4ef9e54fad78b30">BIG_560_58</a> b)</td></tr>
<tr class="memdesc:a8a279005af4441565de92f7fb0353806"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP2 from two BIG integers. <a href="#a8a279005af4441565de92f7fb0353806">More...</a><br /></td></tr>
<tr class="separator:a8a279005af4441565de92f7fb0353806"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad7a5055c1c6fc2706ffbf77a3983bb96"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#ad7a5055c1c6fc2706ffbf77a3983bb96">FP2_BLS48_from_FP</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x, <a class="el" href="structFP__BLS48.html">FP_BLS48</a> *a)</td></tr>
<tr class="memdesc:ad7a5055c1c6fc2706ffbf77a3983bb96"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP2 from single FP. <a href="#ad7a5055c1c6fc2706ffbf77a3983bb96">More...</a><br /></td></tr>
<tr class="separator:ad7a5055c1c6fc2706ffbf77a3983bb96"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a760ba9f046ce9cf5e2487afddeaf5c33"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#a760ba9f046ce9cf5e2487afddeaf5c33">FP2_BLS48_from_BIG</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x, <a class="el" href="big__560__58_8h.html#a6149450df1017dc5c4ef9e54fad78b30">BIG_560_58</a> a)</td></tr>
<tr class="memdesc:a760ba9f046ce9cf5e2487afddeaf5c33"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP2 from single BIG. <a href="#a760ba9f046ce9cf5e2487afddeaf5c33">More...</a><br /></td></tr>
<tr class="separator:a760ba9f046ce9cf5e2487afddeaf5c33"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a75e936e15810fc9a160c404abbdbe149"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#a75e936e15810fc9a160c404abbdbe149">FP2_BLS48_copy</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x, <a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *y)</td></tr>
<tr class="memdesc:a75e936e15810fc9a160c404abbdbe149"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy FP2 to another FP2. <a href="#a75e936e15810fc9a160c404abbdbe149">More...</a><br /></td></tr>
<tr class="separator:a75e936e15810fc9a160c404abbdbe149"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a12e137d856434984f98a69b2c7091ef5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#a12e137d856434984f98a69b2c7091ef5">FP2_BLS48_zero</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x)</td></tr>
<tr class="memdesc:a12e137d856434984f98a69b2c7091ef5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP2 to zero. <a href="#a12e137d856434984f98a69b2c7091ef5">More...</a><br /></td></tr>
<tr class="separator:a12e137d856434984f98a69b2c7091ef5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4169b3ae916b86d0b136c3469d2eee0e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#a4169b3ae916b86d0b136c3469d2eee0e">FP2_BLS48_one</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x)</td></tr>
<tr class="memdesc:a4169b3ae916b86d0b136c3469d2eee0e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP2 to unity. <a href="#a4169b3ae916b86d0b136c3469d2eee0e">More...</a><br /></td></tr>
<tr class="separator:a4169b3ae916b86d0b136c3469d2eee0e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae2ff2aa7369f1341132b65d3d311e35a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#ae2ff2aa7369f1341132b65d3d311e35a">FP2_BLS48_neg</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x, <a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *y)</td></tr>
<tr class="memdesc:ae2ff2aa7369f1341132b65d3d311e35a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negation of FP2. <a href="#ae2ff2aa7369f1341132b65d3d311e35a">More...</a><br /></td></tr>
<tr class="separator:ae2ff2aa7369f1341132b65d3d311e35a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7e3c06ba91a8dd98ecc6f4e8c6231af9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#a7e3c06ba91a8dd98ecc6f4e8c6231af9">FP2_BLS48_conj</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x, <a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *y)</td></tr>
<tr class="memdesc:a7e3c06ba91a8dd98ecc6f4e8c6231af9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conjugation of FP2. <a href="#a7e3c06ba91a8dd98ecc6f4e8c6231af9">More...</a><br /></td></tr>
<tr class="separator:a7e3c06ba91a8dd98ecc6f4e8c6231af9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a059e84292daa9c4d33a1af934d36a908"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#a059e84292daa9c4d33a1af934d36a908">FP2_BLS48_add</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x, <a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *y, <a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *z)</td></tr>
<tr class="memdesc:a059e84292daa9c4d33a1af934d36a908"><td class="mdescLeft">&#160;</td><td class="mdescRight">addition of two FP2s <a href="#a059e84292daa9c4d33a1af934d36a908">More...</a><br /></td></tr>
<tr class="separator:a059e84292daa9c4d33a1af934d36a908"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a24f9153b7fe11e0db96d2065722ea69d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#a24f9153b7fe11e0db96d2065722ea69d">FP2_BLS48_sub</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x, <a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *y, <a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *z)</td></tr>
<tr class="memdesc:a24f9153b7fe11e0db96d2065722ea69d"><td class="mdescLeft">&#160;</td><td class="mdescRight">subtraction of two FP2s <a href="#a24f9153b7fe11e0db96d2065722ea69d">More...</a><br /></td></tr>
<tr class="separator:a24f9153b7fe11e0db96d2065722ea69d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae14eb4fac0028d022877551d1defe0b8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#ae14eb4fac0028d022877551d1defe0b8">FP2_BLS48_pmul</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x, <a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *y, <a class="el" href="structFP__BLS48.html">FP_BLS48</a> *b)</td></tr>
<tr class="memdesc:ae14eb4fac0028d022877551d1defe0b8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of an FP2 by an FP. <a href="#ae14eb4fac0028d022877551d1defe0b8">More...</a><br /></td></tr>
<tr class="separator:ae14eb4fac0028d022877551d1defe0b8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac3f63c990685a751078429525cbf6aa7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#ac3f63c990685a751078429525cbf6aa7">FP2_BLS48_imul</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x, <a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *y, int i)</td></tr>
<tr class="memdesc:ac3f63c990685a751078429525cbf6aa7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of an FP2 by a small integer. <a href="#ac3f63c990685a751078429525cbf6aa7">More...</a><br /></td></tr>
<tr class="separator:ac3f63c990685a751078429525cbf6aa7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1cce8a2b4b6590e8356ff891d09d97f3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#a1cce8a2b4b6590e8356ff891d09d97f3">FP2_BLS48_sqr</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x, <a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *y)</td></tr>
<tr class="memdesc:a1cce8a2b4b6590e8356ff891d09d97f3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Squaring an FP2. <a href="#a1cce8a2b4b6590e8356ff891d09d97f3">More...</a><br /></td></tr>
<tr class="separator:a1cce8a2b4b6590e8356ff891d09d97f3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a43f4f07c87e101c17caffabdb9c73220"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#a43f4f07c87e101c17caffabdb9c73220">FP2_BLS48_mul</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x, <a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *y, <a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *z)</td></tr>
<tr class="memdesc:a43f4f07c87e101c17caffabdb9c73220"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of two FP2s. <a href="#a43f4f07c87e101c17caffabdb9c73220">More...</a><br /></td></tr>
<tr class="separator:a43f4f07c87e101c17caffabdb9c73220"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a74f59e056b8bb8aaaf411d448358695e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#a74f59e056b8bb8aaaf411d448358695e">FP2_BLS48_output</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x)</td></tr>
<tr class="memdesc:a74f59e056b8bb8aaaf411d448358695e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP2 to the console. <a href="#a74f59e056b8bb8aaaf411d448358695e">More...</a><br /></td></tr>
<tr class="separator:a74f59e056b8bb8aaaf411d448358695e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae64865e3749326fd0f98cad45840b8ad"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#ae64865e3749326fd0f98cad45840b8ad">FP2_BLS48_rawoutput</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x)</td></tr>
<tr class="memdesc:ae64865e3749326fd0f98cad45840b8ad"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP2 to the console in raw form (for debugging) <a href="#ae64865e3749326fd0f98cad45840b8ad">More...</a><br /></td></tr>
<tr class="separator:ae64865e3749326fd0f98cad45840b8ad"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a04c1492f51ee1fc5188ae785aae3c8a1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#a04c1492f51ee1fc5188ae785aae3c8a1">FP2_BLS48_inv</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x, <a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *y)</td></tr>
<tr class="memdesc:a04c1492f51ee1fc5188ae785aae3c8a1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Inverting an FP2. <a href="#a04c1492f51ee1fc5188ae785aae3c8a1">More...</a><br /></td></tr>
<tr class="separator:a04c1492f51ee1fc5188ae785aae3c8a1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a13da3335e3656cea217901b38df94639"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#a13da3335e3656cea217901b38df94639">FP2_BLS48_div2</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x, <a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *y)</td></tr>
<tr class="memdesc:a13da3335e3656cea217901b38df94639"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP2 by 2. <a href="#a13da3335e3656cea217901b38df94639">More...</a><br /></td></tr>
<tr class="separator:a13da3335e3656cea217901b38df94639"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a67e5d546ec698980693bf25b2e54ee8f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#a67e5d546ec698980693bf25b2e54ee8f">FP2_BLS48_mul_ip</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x)</td></tr>
<tr class="memdesc:a67e5d546ec698980693bf25b2e54ee8f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiply an FP2 by (1+sqrt(-1)) <a href="#a67e5d546ec698980693bf25b2e54ee8f">More...</a><br /></td></tr>
<tr class="separator:a67e5d546ec698980693bf25b2e54ee8f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae5b1469a99940ef4326a1d92d1c1d6ec"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#ae5b1469a99940ef4326a1d92d1c1d6ec">FP2_BLS48_div_ip2</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x)</td></tr>
<tr class="memdesc:ae5b1469a99940ef4326a1d92d1c1d6ec"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP2 by (1+sqrt(-1))/2 -. <a href="#ae5b1469a99940ef4326a1d92d1c1d6ec">More...</a><br /></td></tr>
<tr class="separator:ae5b1469a99940ef4326a1d92d1c1d6ec"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a410fc3276c891b0fbe644651e5b5cbd2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#a410fc3276c891b0fbe644651e5b5cbd2">FP2_BLS48_div_ip</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x)</td></tr>
<tr class="memdesc:a410fc3276c891b0fbe644651e5b5cbd2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP2 by (1+sqrt(-1)) <a href="#a410fc3276c891b0fbe644651e5b5cbd2">More...</a><br /></td></tr>
<tr class="separator:a410fc3276c891b0fbe644651e5b5cbd2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a04a51601aa0e8d839f66db5f858d7645"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#a04a51601aa0e8d839f66db5f858d7645">FP2_BLS48_norm</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x)</td></tr>
<tr class="memdesc:a04a51601aa0e8d839f66db5f858d7645"><td class="mdescLeft">&#160;</td><td class="mdescRight">Normalises the components of an FP2. <a href="#a04a51601aa0e8d839f66db5f858d7645">More...</a><br /></td></tr>
<tr class="separator:a04a51601aa0e8d839f66db5f858d7645"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abb0d3be7523bbb3910777ffb0da04765"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#abb0d3be7523bbb3910777ffb0da04765">FP2_BLS48_reduce</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x)</td></tr>
<tr class="memdesc:abb0d3be7523bbb3910777ffb0da04765"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces all components of possibly unreduced FP2 mod Modulus. <a href="#abb0d3be7523bbb3910777ffb0da04765">More...</a><br /></td></tr>
<tr class="separator:abb0d3be7523bbb3910777ffb0da04765"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a413ba4e407f4a3a4d9a54e7cf2946058"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#a413ba4e407f4a3a4d9a54e7cf2946058">FP2_BLS48_pow</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x, <a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *y, <a class="el" href="big__560__58_8h.html#a6149450df1017dc5c4ef9e54fad78b30">BIG_560_58</a> b)</td></tr>
<tr class="memdesc:a413ba4e407f4a3a4d9a54e7cf2946058"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP2 to the power of a BIG. <a href="#a413ba4e407f4a3a4d9a54e7cf2946058">More...</a><br /></td></tr>
<tr class="separator:a413ba4e407f4a3a4d9a54e7cf2946058"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2a7ddd5bb0001e47d7e0da1ba53ae4d7"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#a2a7ddd5bb0001e47d7e0da1ba53ae4d7">FP2_BLS48_sqrt</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x, <a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *y)</td></tr>
<tr class="memdesc:a2a7ddd5bb0001e47d7e0da1ba53ae4d7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Square root of an FP2. <a href="#a2a7ddd5bb0001e47d7e0da1ba53ae4d7">More...</a><br /></td></tr>
<tr class="separator:a2a7ddd5bb0001e47d7e0da1ba53ae4d7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad88ec5fbe5393bfa9010662aa283df10"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp2__BLS48_8h.html#ad88ec5fbe5393bfa9010662aa283df10">FP2_BLS48_times_i</a> (<a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *x)</td></tr>
<tr class="memdesc:ad88ec5fbe5393bfa9010662aa283df10"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiply an FP2 by sqrt(-1) <a href="#ad88ec5fbe5393bfa9010662aa283df10">More...</a><br /></td></tr>
<tr class="separator:ad88ec5fbe5393bfa9010662aa283df10"><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="a059e84292daa9c4d33a1af934d36a908"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a059e84292daa9c4d33a1af934d36a908">&#9670;&nbsp;</a></span>FP2_BLS48_add()</h2>
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<td class="memname">void FP2_BLS48_add </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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__BLS48.html">FP2_BLS48</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *&#160;</td>
<td class="paramname"><em>z</em>&#160;</td>
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<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="a78189879116ed2af18d68c117aed28d6"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a78189879116ed2af18d68c117aed28d6">&#9670;&nbsp;</a></span>FP2_BLS48_cmove()</h2>
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<td class="memname">void FP2_BLS48_cmove </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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__BLS48.html">FP2_BLS48</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>s</em>&#160;</td>
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<tr>
<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="a7e3c06ba91a8dd98ecc6f4e8c6231af9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7e3c06ba91a8dd98ecc6f4e8c6231af9">&#9670;&nbsp;</a></span>FP2_BLS48_conj()</h2>
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<td class="memname">void FP2_BLS48_conj </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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__BLS48.html">FP2_BLS48</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="a75e936e15810fc9a160c404abbdbe149"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a75e936e15810fc9a160c404abbdbe149">&#9670;&nbsp;</a></span>FP2_BLS48_copy()</h2>
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<td class="memname">void FP2_BLS48_copy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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__BLS48.html">FP2_BLS48</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="a13da3335e3656cea217901b38df94639"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a13da3335e3656cea217901b38df94639">&#9670;&nbsp;</a></span>FP2_BLS48_div2()</h2>
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<td class="memname">void FP2_BLS48_div2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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__BLS48.html">FP2_BLS48</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="a410fc3276c891b0fbe644651e5b5cbd2"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a410fc3276c891b0fbe644651e5b5cbd2">&#9670;&nbsp;</a></span>FP2_BLS48_div_ip()</h2>
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<td class="memname">void FP2_BLS48_div_ip </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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="ae5b1469a99940ef4326a1d92d1c1d6ec"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae5b1469a99940ef4326a1d92d1c1d6ec">&#9670;&nbsp;</a></span>FP2_BLS48_div_ip2()</h2>
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<td class="memname">void FP2_BLS48_div_ip2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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="a0178dd97f6382b6b2d9cd17641618b1d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0178dd97f6382b6b2d9cd17641618b1d">&#9670;&nbsp;</a></span>FP2_BLS48_equals()</h2>
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<td class="memname">int FP2_BLS48_equals </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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__BLS48.html">FP2_BLS48</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="a760ba9f046ce9cf5e2487afddeaf5c33"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a760ba9f046ce9cf5e2487afddeaf5c33">&#9670;&nbsp;</a></span>FP2_BLS48_from_BIG()</h2>
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<td class="memname">void FP2_BLS48_from_BIG </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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__560__58_8h.html#a6149450df1017dc5c4ef9e54fad78b30">BIG_560_58</a>&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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</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="a8a279005af4441565de92f7fb0353806"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8a279005af4441565de92f7fb0353806">&#9670;&nbsp;</a></span>FP2_BLS48_from_BIGs()</h2>
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<td class="memname">void FP2_BLS48_from_BIGs </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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__560__58_8h.html#a6149450df1017dc5c4ef9e54fad78b30">BIG_560_58</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__560__58_8h.html#a6149450df1017dc5c4ef9e54fad78b30">BIG_560_58</a>&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">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="ad7a5055c1c6fc2706ffbf77a3983bb96"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad7a5055c1c6fc2706ffbf77a3983bb96">&#9670;&nbsp;</a></span>FP2_BLS48_from_FP()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP2_BLS48_from_FP </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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__BLS48.html">FP_BLS48</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="a67b24eff8b330eb787e25df1ee3305a8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a67b24eff8b330eb787e25df1ee3305a8">&#9670;&nbsp;</a></span>FP2_BLS48_from_FPs()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP2_BLS48_from_FPs </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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__BLS48.html">FP_BLS48</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__BLS48.html">FP_BLS48</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="ac3f63c990685a751078429525cbf6aa7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac3f63c990685a751078429525cbf6aa7">&#9670;&nbsp;</a></span>FP2_BLS48_imul()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP2_BLS48_imul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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__BLS48.html">FP2_BLS48</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="a04c1492f51ee1fc5188ae785aae3c8a1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a04c1492f51ee1fc5188ae785aae3c8a1">&#9670;&nbsp;</a></span>FP2_BLS48_inv()</h2>
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<div class="memproto">
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<td class="memname">void FP2_BLS48_inv </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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__BLS48.html">FP2_BLS48</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="a0400df4eda4c3dae533e614aeb7923bf"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0400df4eda4c3dae533e614aeb7923bf">&#9670;&nbsp;</a></span>FP2_BLS48_isunity()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">int FP2_BLS48_isunity </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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="a8cf154be2dfad46b4a5a1c2ae0fe27a2"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8cf154be2dfad46b4a5a1c2ae0fe27a2">&#9670;&nbsp;</a></span>FP2_BLS48_iszilch()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">int FP2_BLS48_iszilch </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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="a43f4f07c87e101c17caffabdb9c73220"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a43f4f07c87e101c17caffabdb9c73220">&#9670;&nbsp;</a></span>FP2_BLS48_mul()</h2>
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<div class="memproto">
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<td class="memname">void FP2_BLS48_mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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__BLS48.html">FP2_BLS48</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__BLS48.html">FP2_BLS48</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="a67e5d546ec698980693bf25b2e54ee8f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a67e5d546ec698980693bf25b2e54ee8f">&#9670;&nbsp;</a></span>FP2_BLS48_mul_ip()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP2_BLS48_mul_ip </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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="ae2ff2aa7369f1341132b65d3d311e35a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae2ff2aa7369f1341132b65d3d311e35a">&#9670;&nbsp;</a></span>FP2_BLS48_neg()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP2_BLS48_neg </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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__BLS48.html">FP2_BLS48</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="a04a51601aa0e8d839f66db5f858d7645"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a04a51601aa0e8d839f66db5f858d7645">&#9670;&nbsp;</a></span>FP2_BLS48_norm()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP2_BLS48_norm </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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="a4169b3ae916b86d0b136c3469d2eee0e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4169b3ae916b86d0b136c3469d2eee0e">&#9670;&nbsp;</a></span>FP2_BLS48_one()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP2_BLS48_one </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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="a74f59e056b8bb8aaaf411d448358695e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a74f59e056b8bb8aaaf411d448358695e">&#9670;&nbsp;</a></span>FP2_BLS48_output()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
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<td class="memname">void FP2_BLS48_output </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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="ae14eb4fac0028d022877551d1defe0b8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae14eb4fac0028d022877551d1defe0b8">&#9670;&nbsp;</a></span>FP2_BLS48_pmul()</h2>
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<div class="memproto">
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<td class="memname">void FP2_BLS48_pmul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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__BLS48.html">FP2_BLS48</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__BLS48.html">FP_BLS48</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="a413ba4e407f4a3a4d9a54e7cf2946058"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a413ba4e407f4a3a4d9a54e7cf2946058">&#9670;&nbsp;</a></span>FP2_BLS48_pow()</h2>
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<div class="memproto">
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<td class="memname">void FP2_BLS48_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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__BLS48.html">FP2_BLS48</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__560__58_8h.html#a6149450df1017dc5c4ef9e54fad78b30">BIG_560_58</a>&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">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="ae64865e3749326fd0f98cad45840b8ad"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae64865e3749326fd0f98cad45840b8ad">&#9670;&nbsp;</a></span>FP2_BLS48_rawoutput()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP2_BLS48_rawoutput </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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="abb0d3be7523bbb3910777ffb0da04765"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abb0d3be7523bbb3910777ffb0da04765">&#9670;&nbsp;</a></span>FP2_BLS48_reduce()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP2_BLS48_reduce </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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="a1cce8a2b4b6590e8356ff891d09d97f3"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1cce8a2b4b6590e8356ff891d09d97f3">&#9670;&nbsp;</a></span>FP2_BLS48_sqr()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP2_BLS48_sqr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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__BLS48.html">FP2_BLS48</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="a2a7ddd5bb0001e47d7e0da1ba53ae4d7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2a7ddd5bb0001e47d7e0da1ba53ae4d7">&#9670;&nbsp;</a></span>FP2_BLS48_sqrt()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP2_BLS48_sqrt </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</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__BLS48.html">FP2_BLS48</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>
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<h2 class="memtitle"><span class="permalink"><a href="#a24f9153b7fe11e0db96d2065722ea69d">&#9670;&nbsp;</a></span>FP2_BLS48_sub()</h2>
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<td class="memname">void FP2_BLS48_sub </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *&#160;</td>
<td class="paramname"><em>z</em>&#160;</td>
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<td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
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<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>
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<h2 class="memtitle"><span class="permalink"><a href="#ad88ec5fbe5393bfa9010662aa283df10">&#9670;&nbsp;</a></span>FP2_BLS48_times_i()</h2>
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<td class="memname">void FP2_BLS48_times_i </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
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<p>Note that -1 is QNR </p><dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">x</td><td>FP2 instance, on exit = x*sqrt(-1) </td></tr>
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<h2 class="memtitle"><span class="permalink"><a href="#a12e137d856434984f98a69b2c7091ef5">&#9670;&nbsp;</a></span>FP2_BLS48_zero()</h2>
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<td class="memname">void FP2_BLS48_zero </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">x</td><td>FP2 instance to be set to zero </td></tr>
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