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<p>FP4 Header File.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &quot;<a class="el" href="fp2__BLS461_8h_source.html">fp2_BLS461.h</a>&quot;</code><br />
<code>#include &quot;config_curve_BLS461.h&quot;</code><br />
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<p><a href="fp4__BLS461_8h_source.html">Go to the source code of this file.</a></p>
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Data Structures</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">FP4 Structure - towered over two FP2. <a href="structFP4__BLS461.html#details">More...</a><br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a98bfe8a7f2629e42f9f39e6ff04410ac"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#a98bfe8a7f2629e42f9f39e6ff04410ac">FP4_BLS461_iszilch</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x)</td></tr>
<tr class="memdesc:a98bfe8a7f2629e42f9f39e6ff04410ac"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP4 equal to zero. <a href="#a98bfe8a7f2629e42f9f39e6ff04410ac">More...</a><br /></td></tr>
<tr class="separator:a98bfe8a7f2629e42f9f39e6ff04410ac"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afaf221f536d638f98ddc26af635fbe73"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#afaf221f536d638f98ddc26af635fbe73">FP4_BLS461_isunity</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x)</td></tr>
<tr class="memdesc:afaf221f536d638f98ddc26af635fbe73"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP4 equal to unity. <a href="#afaf221f536d638f98ddc26af635fbe73">More...</a><br /></td></tr>
<tr class="separator:afaf221f536d638f98ddc26af635fbe73"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2661f118a5e4d719112e6c3626edeb45"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#a2661f118a5e4d719112e6c3626edeb45">FP4_BLS461_equals</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *y)</td></tr>
<tr class="memdesc:a2661f118a5e4d719112e6c3626edeb45"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for equality of two FP4s. <a href="#a2661f118a5e4d719112e6c3626edeb45">More...</a><br /></td></tr>
<tr class="separator:a2661f118a5e4d719112e6c3626edeb45"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:acca2605dfa9068eb5c89fe7e6c0aee32"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#acca2605dfa9068eb5c89fe7e6c0aee32">FP4_BLS461_isreal</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x)</td></tr>
<tr class="memdesc:acca2605dfa9068eb5c89fe7e6c0aee32"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP4 having only a real part and no imaginary part. <a href="#acca2605dfa9068eb5c89fe7e6c0aee32">More...</a><br /></td></tr>
<tr class="separator:acca2605dfa9068eb5c89fe7e6c0aee32"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5544da9c7972e9882189dd537a4efa4e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#a5544da9c7972e9882189dd537a4efa4e">FP4_BLS461_from_FP2s</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x, <a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *a, <a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *b)</td></tr>
<tr class="memdesc:a5544da9c7972e9882189dd537a4efa4e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP4 from two FP2s. <a href="#a5544da9c7972e9882189dd537a4efa4e">More...</a><br /></td></tr>
<tr class="separator:a5544da9c7972e9882189dd537a4efa4e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad6e8af9d8e879d3e5b6d39bf4812cd85"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#ad6e8af9d8e879d3e5b6d39bf4812cd85">FP4_BLS461_from_FP2</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x, <a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *a)</td></tr>
<tr class="memdesc:ad6e8af9d8e879d3e5b6d39bf4812cd85"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP4 from single FP2. <a href="#ad6e8af9d8e879d3e5b6d39bf4812cd85">More...</a><br /></td></tr>
<tr class="separator:ad6e8af9d8e879d3e5b6d39bf4812cd85"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a58b5b22a299a7506eef8f80204a0aa66"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#a58b5b22a299a7506eef8f80204a0aa66">FP4_BLS461_from_FP2H</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x, <a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *a)</td></tr>
<tr class="memdesc:a58b5b22a299a7506eef8f80204a0aa66"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP4 from single FP2. <a href="#a58b5b22a299a7506eef8f80204a0aa66">More...</a><br /></td></tr>
<tr class="separator:a58b5b22a299a7506eef8f80204a0aa66"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7818b6dfa02b88095acddc2a7ea1ee08"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#a7818b6dfa02b88095acddc2a7ea1ee08">FP4_BLS461_copy</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *y)</td></tr>
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<tr class="separator:a7818b6dfa02b88095acddc2a7ea1ee08"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a016fa917249e62d567ab54abdbd555d0"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#a016fa917249e62d567ab54abdbd555d0">FP4_BLS461_zero</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x)</td></tr>
<tr class="memdesc:a016fa917249e62d567ab54abdbd555d0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP4 to zero. <a href="#a016fa917249e62d567ab54abdbd555d0">More...</a><br /></td></tr>
<tr class="separator:a016fa917249e62d567ab54abdbd555d0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a95283b1785cf8e0880ea38c8c9e60e93"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#a95283b1785cf8e0880ea38c8c9e60e93">FP4_BLS461_one</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x)</td></tr>
<tr class="memdesc:a95283b1785cf8e0880ea38c8c9e60e93"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP4 to unity. <a href="#a95283b1785cf8e0880ea38c8c9e60e93">More...</a><br /></td></tr>
<tr class="separator:a95283b1785cf8e0880ea38c8c9e60e93"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4a0b432b3e3d574e21a1aec555952ba6"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#a4a0b432b3e3d574e21a1aec555952ba6">FP4_BLS461_neg</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *y)</td></tr>
<tr class="memdesc:a4a0b432b3e3d574e21a1aec555952ba6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negation of FP4. <a href="#a4a0b432b3e3d574e21a1aec555952ba6">More...</a><br /></td></tr>
<tr class="separator:a4a0b432b3e3d574e21a1aec555952ba6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8978130ad7e7d58543589c41c4b330b3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#a8978130ad7e7d58543589c41c4b330b3">FP4_BLS461_conj</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *y)</td></tr>
<tr class="memdesc:a8978130ad7e7d58543589c41c4b330b3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conjugation of FP4. <a href="#a8978130ad7e7d58543589c41c4b330b3">More...</a><br /></td></tr>
<tr class="separator:a8978130ad7e7d58543589c41c4b330b3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ace692d2cdb4291f16a543859fcaeb043"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#ace692d2cdb4291f16a543859fcaeb043">FP4_BLS461_nconj</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *y)</td></tr>
<tr class="memdesc:ace692d2cdb4291f16a543859fcaeb043"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negative conjugation of FP4. <a href="#ace692d2cdb4291f16a543859fcaeb043">More...</a><br /></td></tr>
<tr class="separator:ace692d2cdb4291f16a543859fcaeb043"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad9f384f79b574ac89b5e4329dfabe337"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#ad9f384f79b574ac89b5e4329dfabe337">FP4_BLS461_add</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *y, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *z)</td></tr>
<tr class="memdesc:ad9f384f79b574ac89b5e4329dfabe337"><td class="mdescLeft">&#160;</td><td class="mdescRight">addition of two FP4s <a href="#ad9f384f79b574ac89b5e4329dfabe337">More...</a><br /></td></tr>
<tr class="separator:ad9f384f79b574ac89b5e4329dfabe337"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a861f15623459e95ca558057a8c480308"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#a861f15623459e95ca558057a8c480308">FP4_BLS461_sub</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *y, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *z)</td></tr>
<tr class="memdesc:a861f15623459e95ca558057a8c480308"><td class="mdescLeft">&#160;</td><td class="mdescRight">subtraction of two FP4s <a href="#a861f15623459e95ca558057a8c480308">More...</a><br /></td></tr>
<tr class="separator:a861f15623459e95ca558057a8c480308"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae3de290ca285dc117149f2f41d9ca801"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#ae3de290ca285dc117149f2f41d9ca801">FP4_BLS461_pmul</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *y, <a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *a)</td></tr>
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<tr class="separator:ae3de290ca285dc117149f2f41d9ca801"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5533c7c723ed8fdfc02aaa525b24d64f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#a5533c7c723ed8fdfc02aaa525b24d64f">FP4_BLS461_qmul</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *y, <a class="el" href="structFP__BLS461.html">FP_BLS461</a> *a)</td></tr>
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<tr class="separator:a4741d41d1adf48cccbf268f001cb1e2f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab4cff9b5db009d09d467ab2340c1706d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#ab4cff9b5db009d09d467ab2340c1706d">FP4_BLS461_inv</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *y)</td></tr>
<tr class="memdesc:ab4cff9b5db009d09d467ab2340c1706d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Inverting an FP4. <a href="#ab4cff9b5db009d09d467ab2340c1706d">More...</a><br /></td></tr>
<tr class="separator:ab4cff9b5db009d09d467ab2340c1706d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a84aaca0e78492b2e15da994f14c72e9e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#a84aaca0e78492b2e15da994f14c72e9e">FP4_BLS461_output</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x)</td></tr>
<tr class="memdesc:a84aaca0e78492b2e15da994f14c72e9e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP4 to the console. <a href="#a84aaca0e78492b2e15da994f14c72e9e">More...</a><br /></td></tr>
<tr class="separator:a84aaca0e78492b2e15da994f14c72e9e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:accb91925c127fce05cf2893832ac3af7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#accb91925c127fce05cf2893832ac3af7">FP4_BLS461_rawoutput</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x)</td></tr>
<tr class="memdesc:accb91925c127fce05cf2893832ac3af7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP4 to the console in raw form (for debugging) <a href="#accb91925c127fce05cf2893832ac3af7">More...</a><br /></td></tr>
<tr class="separator:accb91925c127fce05cf2893832ac3af7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a12723c6219e8804047bceb4727bfb5f3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#a12723c6219e8804047bceb4727bfb5f3">FP4_BLS461_times_i</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x)</td></tr>
<tr class="memdesc:a12723c6219e8804047bceb4727bfb5f3"><td class="mdescLeft">&#160;</td><td class="mdescRight">multiplies an FP4 instance by irreducible polynomial sqrt(1+sqrt(-1)) <a href="#a12723c6219e8804047bceb4727bfb5f3">More...</a><br /></td></tr>
<tr class="separator:a12723c6219e8804047bceb4727bfb5f3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4b2fc26aa765859d197ccf235a1bf9d9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#a4b2fc26aa765859d197ccf235a1bf9d9">FP4_BLS461_norm</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x)</td></tr>
<tr class="memdesc:a4b2fc26aa765859d197ccf235a1bf9d9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Normalises the components of an FP4. <a href="#a4b2fc26aa765859d197ccf235a1bf9d9">More...</a><br /></td></tr>
<tr class="separator:a4b2fc26aa765859d197ccf235a1bf9d9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a65653334586773499c8684b9a5425a31"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#a65653334586773499c8684b9a5425a31">FP4_BLS461_reduce</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x)</td></tr>
<tr class="memdesc:a65653334586773499c8684b9a5425a31"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces all components of possibly unreduced FP4 mod Modulus. <a href="#a65653334586773499c8684b9a5425a31">More...</a><br /></td></tr>
<tr class="separator:a65653334586773499c8684b9a5425a31"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae1db51e917dbbba5316022196c5b9efa"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#ae1db51e917dbbba5316022196c5b9efa">FP4_BLS461_pow</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *y, <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> b)</td></tr>
<tr class="memdesc:ae1db51e917dbbba5316022196c5b9efa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP4 to the power of a BIG. <a href="#ae1db51e917dbbba5316022196c5b9efa">More...</a><br /></td></tr>
<tr class="separator:ae1db51e917dbbba5316022196c5b9efa"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6bf13afb2b79ec64be7e2c854be756c7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#a6bf13afb2b79ec64be7e2c854be756c7">FP4_BLS461_frob</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x, <a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *f)</td></tr>
<tr class="memdesc:a6bf13afb2b79ec64be7e2c854be756c7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP4 to the power of the internal modulus p, using the Frobenius. <a href="#a6bf13afb2b79ec64be7e2c854be756c7">More...</a><br /></td></tr>
<tr class="separator:a6bf13afb2b79ec64be7e2c854be756c7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7e2bad19714c06c862cf999e157385c9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#a7e2bad19714c06c862cf999e157385c9">FP4_BLS461_xtr_A</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *r, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *w, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *y, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *z)</td></tr>
<tr class="memdesc:a7e2bad19714c06c862cf999e157385c9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the XTR addition function r=w*x-conj(x)*y+z. <a href="#a7e2bad19714c06c862cf999e157385c9">More...</a><br /></td></tr>
<tr class="separator:a7e2bad19714c06c862cf999e157385c9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a41a70fca0ed27e9438afdfa455e344a1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#a41a70fca0ed27e9438afdfa455e344a1">FP4_BLS461_xtr_D</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *r, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x)</td></tr>
<tr class="memdesc:a41a70fca0ed27e9438afdfa455e344a1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the XTR doubling function r=x^2-2*conj(x) <a href="#a41a70fca0ed27e9438afdfa455e344a1">More...</a><br /></td></tr>
<tr class="separator:a41a70fca0ed27e9438afdfa455e344a1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac3e3b738f376dbdcbaeffd6be1faca7a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#ac3e3b738f376dbdcbaeffd6be1faca7a">FP4_BLS461_xtr_pow</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *r, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x, <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> b)</td></tr>
<tr class="memdesc:ac3e3b738f376dbdcbaeffd6be1faca7a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates FP4 trace of an FP12 raised to the power of a BIG number. <a href="#ac3e3b738f376dbdcbaeffd6be1faca7a">More...</a><br /></td></tr>
<tr class="separator:ac3e3b738f376dbdcbaeffd6be1faca7a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0cd694e53e47fe0620e2b69251667907"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#a0cd694e53e47fe0620e2b69251667907">FP4_BLS461_xtr_pow2</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *r, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *c, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *d, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *e, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *f, <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> a, <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> b)</td></tr>
<tr class="memdesc:a0cd694e53e47fe0620e2b69251667907"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates FP4 trace of c^a.d^b, where c and d are derived from FP4 traces of FP12s. <a href="#a0cd694e53e47fe0620e2b69251667907">More...</a><br /></td></tr>
<tr class="separator:a0cd694e53e47fe0620e2b69251667907"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0e17726cdbc36f10124b8587a2b62cd2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#a0e17726cdbc36f10124b8587a2b62cd2">FP4_BLS461_cmove</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *y, int s)</td></tr>
<tr class="memdesc:a0e17726cdbc36f10124b8587a2b62cd2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional copy of FP4 number. <a href="#a0e17726cdbc36f10124b8587a2b62cd2">More...</a><br /></td></tr>
<tr class="separator:a0e17726cdbc36f10124b8587a2b62cd2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8fbcbde142bfd70019b67573c845bb99"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#a8fbcbde142bfd70019b67573c845bb99">FP4_BLS461_sqrt</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *r, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x)</td></tr>
<tr class="memdesc:a8fbcbde142bfd70019b67573c845bb99"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate square root of an FP4. <a href="#a8fbcbde142bfd70019b67573c845bb99">More...</a><br /></td></tr>
<tr class="separator:a8fbcbde142bfd70019b67573c845bb99"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8de1db3c15bddfa415e0d3b237d1b745"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#a8de1db3c15bddfa415e0d3b237d1b745">FP4_BLS461_div_i</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x)</td></tr>
<tr class="memdesc:a8de1db3c15bddfa415e0d3b237d1b745"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide FP4 number by QNR. <a href="#a8de1db3c15bddfa415e0d3b237d1b745">More...</a><br /></td></tr>
<tr class="separator:a8de1db3c15bddfa415e0d3b237d1b745"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a90671f77e8e8853676892462e43178a2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#a90671f77e8e8853676892462e43178a2">FP4_BLS461_div_2i</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x)</td></tr>
<tr class="memdesc:a90671f77e8e8853676892462e43178a2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP4 by QNR/2. <a href="#a90671f77e8e8853676892462e43178a2">More...</a><br /></td></tr>
<tr class="separator:a90671f77e8e8853676892462e43178a2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a31acc02692347fd9d3a2cf9b30e99c60"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS461_8h.html#a31acc02692347fd9d3a2cf9b30e99c60">FP4_BLS461_div2</a> (<a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *x, <a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *y)</td></tr>
<tr class="memdesc:a31acc02692347fd9d3a2cf9b30e99c60"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP4 by 2. <a href="#a31acc02692347fd9d3a2cf9b30e99c60">More...</a><br /></td></tr>
<tr class="separator:a31acc02692347fd9d3a2cf9b30e99c60"><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="ad9f384f79b574ac89b5e4329dfabe337"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad9f384f79b574ac89b5e4329dfabe337">&#9670;&nbsp;</a></span>FP4_BLS461_add()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
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<td class="memname">void FP4_BLS461_add </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>z</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = y+z </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">z</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a0e17726cdbc36f10124b8587a2b62cd2"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0e17726cdbc36f10124b8587a2b62cd2">&#9670;&nbsp;</a></span>FP4_BLS461_cmove()</h2>
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<div class="memproto">
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<td class="memname">void FP4_BLS461_cmove </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>s</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Conditionally copies second parameter to the first (without branching) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, set to y if s!=0 </td></tr>
<tr><td class="paramname">y</td><td>another FP4 instance </td></tr>
<tr><td class="paramname">s</td><td>copy only takes place if not equal to 0 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a8978130ad7e7d58543589c41c4b330b3"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8978130ad7e7d58543589c41c4b330b3">&#9670;&nbsp;</a></span>FP4_BLS461_conj()</h2>
<div class="memitem">
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<td class="memname">void FP4_BLS461_conj </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>If y=(a,b) on exit x=(a,-b) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = conj(y) </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a7818b6dfa02b88095acddc2a7ea1ee08"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7818b6dfa02b88095acddc2a7ea1ee08">&#9670;&nbsp;</a></span>FP4_BLS461_copy()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
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<td class="memname">void FP4_BLS461_copy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = y </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance to be copied </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a31acc02692347fd9d3a2cf9b30e99c60"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a31acc02692347fd9d3a2cf9b30e99c60">&#9670;&nbsp;</a></span>FP4_BLS461_div2()</h2>
<div class="memitem">
<div class="memproto">
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<td class="memname">void FP4_BLS461_div2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = y/2 </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a90671f77e8e8853676892462e43178a2"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a90671f77e8e8853676892462e43178a2">&#9670;&nbsp;</a></span>FP4_BLS461_div_2i()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS461_div_2i </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Divide FP4 by the QNR/2 </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a8de1db3c15bddfa415e0d3b237d1b745"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8de1db3c15bddfa415e0d3b237d1b745">&#9670;&nbsp;</a></span>FP4_BLS461_div_i()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS461_div_i </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Divide FP4 by the QNR </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a2661f118a5e4d719112e6c3626edeb45"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2661f118a5e4d719112e6c3626edeb45">&#9670;&nbsp;</a></span>FP4_BLS461_equals()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP4_BLS461_equals </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance to be compared </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance to be compared </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 if x=y, else returns 0 </dd></dl>
</div>
</div>
<a id="a6bf13afb2b79ec64be7e2c854be756c7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6bf13afb2b79ec64be7e2c854be756c7">&#9670;&nbsp;</a></span>FP4_BLS461_frob()</h2>
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<div class="memproto">
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<td class="memname">void FP4_BLS461_frob </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</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__BLS461.html">FP2_BLS461</a> *&#160;</td>
<td class="paramname"><em>f</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = x^p </td></tr>
<tr><td class="paramname">f</td><td>FP2 precalculated Frobenius constant </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ad6e8af9d8e879d3e5b6d39bf4812cd85"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad6e8af9d8e879d3e5b6d39bf4812cd85">&#9670;&nbsp;</a></span>FP4_BLS461_from_FP2()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP4_BLS461_from_FP2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</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__BLS461.html">FP2_BLS461</a> *&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Imaginary part is set to zero </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance to be initialised </td></tr>
<tr><td class="paramname">a</td><td>FP2 to form real part of FP4 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a58b5b22a299a7506eef8f80204a0aa66"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a58b5b22a299a7506eef8f80204a0aa66">&#9670;&nbsp;</a></span>FP4_BLS461_from_FP2H()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP4_BLS461_from_FP2H </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</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__BLS461.html">FP2_BLS461</a> *&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>real part is set to zero </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance to be initialised </td></tr>
<tr><td class="paramname">a</td><td>FP2 to form imaginary part of FP4 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a5544da9c7972e9882189dd537a4efa4e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5544da9c7972e9882189dd537a4efa4e">&#9670;&nbsp;</a></span>FP4_BLS461_from_FP2s()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP4_BLS461_from_FP2s </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</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__BLS461.html">FP2_BLS461</a> *&#160;</td>
<td class="paramname"><em>a</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP2__BLS461.html">FP2_BLS461</a> *&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance to be initialised </td></tr>
<tr><td class="paramname">a</td><td>FP2 to form real part of FP4 </td></tr>
<tr><td class="paramname">b</td><td>FP2 to form imaginary part of FP4 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a2a7ddf469560567085f78c6c9151d7f7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2a7ddf469560567085f78c6c9151d7f7">&#9670;&nbsp;</a></span>FP4_BLS461_imul()</h2>
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<div class="memproto">
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<td class="memname">void FP4_BLS461_imul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>i</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = y*i </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">i</td><td>an integer </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ab4cff9b5db009d09d467ab2340c1706d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab4cff9b5db009d09d467ab2340c1706d">&#9670;&nbsp;</a></span>FP4_BLS461_inv()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP4_BLS461_inv </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = 1/y </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="acca2605dfa9068eb5c89fe7e6c0aee32"></a>
<h2 class="memtitle"><span class="permalink"><a href="#acca2605dfa9068eb5c89fe7e6c0aee32">&#9670;&nbsp;</a></span>FP4_BLS461_isreal()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">int FP4_BLS461_isreal </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 number to be tested </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 if real, else returns 0 </dd></dl>
</div>
</div>
<a id="afaf221f536d638f98ddc26af635fbe73"></a>
<h2 class="memtitle"><span class="permalink"><a href="#afaf221f536d638f98ddc26af635fbe73">&#9670;&nbsp;</a></span>FP4_BLS461_isunity()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP4_BLS461_isunity </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 number to be tested </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 if unity, else returns 0 </dd></dl>
</div>
</div>
<a id="a98bfe8a7f2629e42f9f39e6ff04410ac"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a98bfe8a7f2629e42f9f39e6ff04410ac">&#9670;&nbsp;</a></span>FP4_BLS461_iszilch()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP4_BLS461_iszilch </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 number to be tested </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 if zero, else returns 0 </dd></dl>
</div>
</div>
<a id="a4741d41d1adf48cccbf268f001cb1e2f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4741d41d1adf48cccbf268f001cb1e2f">&#9670;&nbsp;</a></span>FP4_BLS461_mul()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP4_BLS461_mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>z</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = y*z </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">z</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ace692d2cdb4291f16a543859fcaeb043"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ace692d2cdb4291f16a543859fcaeb043">&#9670;&nbsp;</a></span>FP4_BLS461_nconj()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP4_BLS461_nconj </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>If y=(a,b) on exit x=(-a,b) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = -conj(y) </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a4a0b432b3e3d574e21a1aec555952ba6"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4a0b432b3e3d574e21a1aec555952ba6">&#9670;&nbsp;</a></span>FP4_BLS461_neg()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP4_BLS461_neg </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = -y </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a4b2fc26aa765859d197ccf235a1bf9d9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4b2fc26aa765859d197ccf235a1bf9d9">&#9670;&nbsp;</a></span>FP4_BLS461_norm()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP4_BLS461_norm </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance to be normalised </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a95283b1785cf8e0880ea38c8c9e60e93"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a95283b1785cf8e0880ea38c8c9e60e93">&#9670;&nbsp;</a></span>FP4_BLS461_one()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS461_one </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance to be set to one </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a84aaca0e78492b2e15da994f14c72e9e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a84aaca0e78492b2e15da994f14c72e9e">&#9670;&nbsp;</a></span>FP4_BLS461_output()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS461_output </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance to be printed </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ae3de290ca285dc117149f2f41d9ca801"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae3de290ca285dc117149f2f41d9ca801">&#9670;&nbsp;</a></span>FP4_BLS461_pmul()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP4_BLS461_pmul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</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__BLS461.html">FP2_BLS461</a> *&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = y*a </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">a</td><td>FP2 multiplier </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ae1db51e917dbbba5316022196c5b9efa"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae1db51e917dbbba5316022196c5b9efa">&#9670;&nbsp;</a></span>FP4_BLS461_pow()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS461_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</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__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a>&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = y^b </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">b</td><td>BIG number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a5533c7c723ed8fdfc02aaa525b24d64f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5533c7c723ed8fdfc02aaa525b24d64f">&#9670;&nbsp;</a></span>FP4_BLS461_qmul()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS461_qmul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</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__BLS461.html">FP_BLS461</a> *&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = y*a </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">a</td><td>FP multiplier </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="accb91925c127fce05cf2893832ac3af7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#accb91925c127fce05cf2893832ac3af7">&#9670;&nbsp;</a></span>FP4_BLS461_rawoutput()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS461_rawoutput </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance to be printed </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a65653334586773499c8684b9a5425a31"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a65653334586773499c8684b9a5425a31">&#9670;&nbsp;</a></span>FP4_BLS461_reduce()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS461_reduce </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit reduced mod Modulus </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a38e66d2819e3367dbb6534cb2535a978"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a38e66d2819e3367dbb6534cb2535a978">&#9670;&nbsp;</a></span>FP4_BLS461_sqr()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS461_sqr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = y^2 </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a8fbcbde142bfd70019b67573c845bb99"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8fbcbde142bfd70019b67573c845bb99">&#9670;&nbsp;</a></span>FP4_BLS461_sqrt()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP4_BLS461_sqrt </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Square root </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>FP4 instance, on exit = sqrt(x) </td></tr>
<tr><td class="paramname">x</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 x is a QR, otherwise 0 </dd></dl>
</div>
</div>
<a id="a861f15623459e95ca558057a8c480308"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a861f15623459e95ca558057a8c480308">&#9670;&nbsp;</a></span>FP4_BLS461_sub()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS461_sub </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>z</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = y-z </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">z</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a12723c6219e8804047bceb4727bfb5f3"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a12723c6219e8804047bceb4727bfb5f3">&#9670;&nbsp;</a></span>FP4_BLS461_times_i()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS461_times_i </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = sqrt(1+sqrt(-1)*x </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a7e2bad19714c06c862cf999e157385c9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7e2bad19714c06c862cf999e157385c9">&#9670;&nbsp;</a></span>FP4_BLS461_xtr_A()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS461_xtr_A </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>w</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>z</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>FP4 instance, on exit = w*x-conj(x)*y+z </td></tr>
<tr><td class="paramname">w</td><td>FP4 instance </td></tr>
<tr><td class="paramname">x</td><td>FP4 instance </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">z</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a41a70fca0ed27e9438afdfa455e344a1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a41a70fca0ed27e9438afdfa455e344a1">&#9670;&nbsp;</a></span>FP4_BLS461_xtr_D()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS461_xtr_D </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>FP4 instance, on exit = x^2-2*conj(x) </td></tr>
<tr><td class="paramname">x</td><td>FP4 instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ac3e3b738f376dbdcbaeffd6be1faca7a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac3e3b738f376dbdcbaeffd6be1faca7a">&#9670;&nbsp;</a></span>FP4_BLS461_xtr_pow()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS461_xtr_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</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__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a>&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>XTR single exponentiation </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>FP4 instance, on exit = trace(w^b) </td></tr>
<tr><td class="paramname">x</td><td>FP4 instance, trace of an FP12 w </td></tr>
<tr><td class="paramname">b</td><td>BIG number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a0cd694e53e47fe0620e2b69251667907"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0cd694e53e47fe0620e2b69251667907">&#9670;&nbsp;</a></span>FP4_BLS461_xtr_pow2()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS461_xtr_pow2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>c</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>d</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>e</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>f</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</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__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a>&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>XTR double exponentiation Assumes c=tr(x^m), d=tr(x^n), e=tr(x^(m-n)), f=tr(x^(m-2n)) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>FP4 instance, on exit = trace(c^a.d^b) </td></tr>
<tr><td class="paramname">c</td><td>FP4 instance, trace of an FP12 </td></tr>
<tr><td class="paramname">d</td><td>FP4 instance, trace of an FP12 </td></tr>
<tr><td class="paramname">e</td><td>FP4 instance, trace of an FP12 </td></tr>
<tr><td class="paramname">f</td><td>FP4 instance, trace of an FP12 </td></tr>
<tr><td class="paramname">a</td><td>BIG number </td></tr>
<tr><td class="paramname">b</td><td>BIG number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a016fa917249e62d567ab54abdbd555d0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a016fa917249e62d567ab54abdbd555d0">&#9670;&nbsp;</a></span>FP4_BLS461_zero()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS461_zero </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS461.html">FP4_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance to be set to zero </td></tr>
</table>
</dd>
</dl>
</div>
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