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<a href="#nested-classes">Data Structures</a> &#124;
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<div class="title">fp4_BLS48.h File Reference</div> </div>
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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__BLS48_8h_source.html">fp2_BLS48.h</a>&quot;</code><br />
<code>#include &quot;config_curve_BLS48.h&quot;</code><br />
</div>
<p><a href="fp4__BLS48_8h_source.html">Go to the source code of this file.</a></p>
<table class="memberdecls">
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Data Structures</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structFP4__BLS48.html">FP4_BLS48</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">FP4 Structure - towered over two FP2. <a href="structFP4__BLS48.html#details">More...</a><br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a611249afb40710ab421ef9613a1a5514"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#a611249afb40710ab421ef9613a1a5514">FP4_BLS48_iszilch</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x)</td></tr>
<tr class="memdesc:a611249afb40710ab421ef9613a1a5514"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP4 equal to zero. <a href="#a611249afb40710ab421ef9613a1a5514">More...</a><br /></td></tr>
<tr class="separator:a611249afb40710ab421ef9613a1a5514"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a47f6c83a0cd2fa8f823582aa8679697a"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#a47f6c83a0cd2fa8f823582aa8679697a">FP4_BLS48_isunity</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x)</td></tr>
<tr class="memdesc:a47f6c83a0cd2fa8f823582aa8679697a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP4 equal to unity. <a href="#a47f6c83a0cd2fa8f823582aa8679697a">More...</a><br /></td></tr>
<tr class="separator:a47f6c83a0cd2fa8f823582aa8679697a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a70dd2a09a51461b47ab7dc4e194c49b6"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#a70dd2a09a51461b47ab7dc4e194c49b6">FP4_BLS48_equals</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *y)</td></tr>
<tr class="memdesc:a70dd2a09a51461b47ab7dc4e194c49b6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for equality of two FP4s. <a href="#a70dd2a09a51461b47ab7dc4e194c49b6">More...</a><br /></td></tr>
<tr class="separator:a70dd2a09a51461b47ab7dc4e194c49b6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aee712744f5a6490f398a2169ab079305"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#aee712744f5a6490f398a2169ab079305">FP4_BLS48_isreal</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x)</td></tr>
<tr class="memdesc:aee712744f5a6490f398a2169ab079305"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP4 having only a real part and no imaginary part. <a href="#aee712744f5a6490f398a2169ab079305">More...</a><br /></td></tr>
<tr class="separator:aee712744f5a6490f398a2169ab079305"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6257c181dcb5169cf3b7ef0a71ed6cc6"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#a6257c181dcb5169cf3b7ef0a71ed6cc6">FP4_BLS48_from_FP2s</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x, <a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *a, <a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *b)</td></tr>
<tr class="memdesc:a6257c181dcb5169cf3b7ef0a71ed6cc6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP4 from two FP2s. <a href="#a6257c181dcb5169cf3b7ef0a71ed6cc6">More...</a><br /></td></tr>
<tr class="separator:a6257c181dcb5169cf3b7ef0a71ed6cc6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af5adb021441cfcfa36edfec9cc847563"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#af5adb021441cfcfa36edfec9cc847563">FP4_BLS48_from_FP2</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x, <a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *a)</td></tr>
<tr class="memdesc:af5adb021441cfcfa36edfec9cc847563"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP4 from single FP2. <a href="#af5adb021441cfcfa36edfec9cc847563">More...</a><br /></td></tr>
<tr class="separator:af5adb021441cfcfa36edfec9cc847563"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac051c6ce5cf2ec1ce2fb191346780ec4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#ac051c6ce5cf2ec1ce2fb191346780ec4">FP4_BLS48_from_FP2H</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x, <a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *a)</td></tr>
<tr class="memdesc:ac051c6ce5cf2ec1ce2fb191346780ec4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP4 from single FP2. <a href="#ac051c6ce5cf2ec1ce2fb191346780ec4">More...</a><br /></td></tr>
<tr class="separator:ac051c6ce5cf2ec1ce2fb191346780ec4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af56ef475c8920506a91f68ca35ffdce7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#af56ef475c8920506a91f68ca35ffdce7">FP4_BLS48_copy</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *y)</td></tr>
<tr class="memdesc:af56ef475c8920506a91f68ca35ffdce7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy FP4 to another FP4. <a href="#af56ef475c8920506a91f68ca35ffdce7">More...</a><br /></td></tr>
<tr class="separator:af56ef475c8920506a91f68ca35ffdce7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5f843b9d548c32a78f3b7bc3fcf3317c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#a5f843b9d548c32a78f3b7bc3fcf3317c">FP4_BLS48_zero</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x)</td></tr>
<tr class="memdesc:a5f843b9d548c32a78f3b7bc3fcf3317c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP4 to zero. <a href="#a5f843b9d548c32a78f3b7bc3fcf3317c">More...</a><br /></td></tr>
<tr class="separator:a5f843b9d548c32a78f3b7bc3fcf3317c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af8b1fe406e11592dc5a43104830688b2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#af8b1fe406e11592dc5a43104830688b2">FP4_BLS48_one</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x)</td></tr>
<tr class="memdesc:af8b1fe406e11592dc5a43104830688b2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP4 to unity. <a href="#af8b1fe406e11592dc5a43104830688b2">More...</a><br /></td></tr>
<tr class="separator:af8b1fe406e11592dc5a43104830688b2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af3af02656fbe4dc092e970963375b317"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#af3af02656fbe4dc092e970963375b317">FP4_BLS48_neg</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *y)</td></tr>
<tr class="memdesc:af3af02656fbe4dc092e970963375b317"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negation of FP4. <a href="#af3af02656fbe4dc092e970963375b317">More...</a><br /></td></tr>
<tr class="separator:af3af02656fbe4dc092e970963375b317"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a746de0c0bc1ec861cfed6722e0d30e8b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#a746de0c0bc1ec861cfed6722e0d30e8b">FP4_BLS48_conj</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *y)</td></tr>
<tr class="memdesc:a746de0c0bc1ec861cfed6722e0d30e8b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conjugation of FP4. <a href="#a746de0c0bc1ec861cfed6722e0d30e8b">More...</a><br /></td></tr>
<tr class="separator:a746de0c0bc1ec861cfed6722e0d30e8b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5cdf7be4a85d7d2ebe47e15c7e0f13c4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#a5cdf7be4a85d7d2ebe47e15c7e0f13c4">FP4_BLS48_nconj</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *y)</td></tr>
<tr class="memdesc:a5cdf7be4a85d7d2ebe47e15c7e0f13c4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negative conjugation of FP4. <a href="#a5cdf7be4a85d7d2ebe47e15c7e0f13c4">More...</a><br /></td></tr>
<tr class="separator:a5cdf7be4a85d7d2ebe47e15c7e0f13c4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae620370a55b3cc57c32a5b3a792cc83f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#ae620370a55b3cc57c32a5b3a792cc83f">FP4_BLS48_add</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *y, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *z)</td></tr>
<tr class="memdesc:ae620370a55b3cc57c32a5b3a792cc83f"><td class="mdescLeft">&#160;</td><td class="mdescRight">addition of two FP4s <a href="#ae620370a55b3cc57c32a5b3a792cc83f">More...</a><br /></td></tr>
<tr class="separator:ae620370a55b3cc57c32a5b3a792cc83f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a413bbba3f3c447b099af89a593dd0e9c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#a413bbba3f3c447b099af89a593dd0e9c">FP4_BLS48_sub</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *y, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *z)</td></tr>
<tr class="memdesc:a413bbba3f3c447b099af89a593dd0e9c"><td class="mdescLeft">&#160;</td><td class="mdescRight">subtraction of two FP4s <a href="#a413bbba3f3c447b099af89a593dd0e9c">More...</a><br /></td></tr>
<tr class="separator:a413bbba3f3c447b099af89a593dd0e9c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad312305310dec6c7711a618569ad0e55"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#ad312305310dec6c7711a618569ad0e55">FP4_BLS48_pmul</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *y, <a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *a)</td></tr>
<tr class="memdesc:ad312305310dec6c7711a618569ad0e55"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of an FP4 by an FP2. <a href="#ad312305310dec6c7711a618569ad0e55">More...</a><br /></td></tr>
<tr class="separator:ad312305310dec6c7711a618569ad0e55"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afd999e44fb13758199e613d1bae1c50b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#afd999e44fb13758199e613d1bae1c50b">FP4_BLS48_qmul</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *y, <a class="el" href="structFP__BLS48.html">FP_BLS48</a> *a)</td></tr>
<tr class="memdesc:afd999e44fb13758199e613d1bae1c50b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of an FP4 by an FP. <a href="#afd999e44fb13758199e613d1bae1c50b">More...</a><br /></td></tr>
<tr class="separator:afd999e44fb13758199e613d1bae1c50b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae581788163f859ba4441bc9dbf8e2871"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#ae581788163f859ba4441bc9dbf8e2871">FP4_BLS48_imul</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *y, int i)</td></tr>
<tr class="memdesc:ae581788163f859ba4441bc9dbf8e2871"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of an FP4 by a small integer. <a href="#ae581788163f859ba4441bc9dbf8e2871">More...</a><br /></td></tr>
<tr class="separator:ae581788163f859ba4441bc9dbf8e2871"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3c770dc5f63dc7b98312d89bc0bf3ced"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#a3c770dc5f63dc7b98312d89bc0bf3ced">FP4_BLS48_sqr</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *y)</td></tr>
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<tr class="separator:a3c770dc5f63dc7b98312d89bc0bf3ced"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:acb7e1028a445e89d140601da6d435163"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#acb7e1028a445e89d140601da6d435163">FP4_BLS48_mul</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *y, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *z)</td></tr>
<tr class="memdesc:acb7e1028a445e89d140601da6d435163"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of two FP4s. <a href="#acb7e1028a445e89d140601da6d435163">More...</a><br /></td></tr>
<tr class="separator:acb7e1028a445e89d140601da6d435163"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae4db9824ecd22b07903bc0634e53a525"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#ae4db9824ecd22b07903bc0634e53a525">FP4_BLS48_inv</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *y)</td></tr>
<tr class="memdesc:ae4db9824ecd22b07903bc0634e53a525"><td class="mdescLeft">&#160;</td><td class="mdescRight">Inverting an FP4. <a href="#ae4db9824ecd22b07903bc0634e53a525">More...</a><br /></td></tr>
<tr class="separator:ae4db9824ecd22b07903bc0634e53a525"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aeef78c9ffe63c523ae8aa7999864dfe1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#aeef78c9ffe63c523ae8aa7999864dfe1">FP4_BLS48_output</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x)</td></tr>
<tr class="memdesc:aeef78c9ffe63c523ae8aa7999864dfe1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP4 to the console. <a href="#aeef78c9ffe63c523ae8aa7999864dfe1">More...</a><br /></td></tr>
<tr class="separator:aeef78c9ffe63c523ae8aa7999864dfe1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab0b448803ddb2cea361e9ac0040809ac"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#ab0b448803ddb2cea361e9ac0040809ac">FP4_BLS48_rawoutput</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x)</td></tr>
<tr class="memdesc:ab0b448803ddb2cea361e9ac0040809ac"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP4 to the console in raw form (for debugging) <a href="#ab0b448803ddb2cea361e9ac0040809ac">More...</a><br /></td></tr>
<tr class="separator:ab0b448803ddb2cea361e9ac0040809ac"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ace1922795087728455377dd367de0edf"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#ace1922795087728455377dd367de0edf">FP4_BLS48_times_i</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x)</td></tr>
<tr class="memdesc:ace1922795087728455377dd367de0edf"><td class="mdescLeft">&#160;</td><td class="mdescRight">multiplies an FP4 instance by irreducible polynomial sqrt(1+sqrt(-1)) <a href="#ace1922795087728455377dd367de0edf">More...</a><br /></td></tr>
<tr class="separator:ace1922795087728455377dd367de0edf"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1f93ad93d5ba74d6d94faaa1f20a3804"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#a1f93ad93d5ba74d6d94faaa1f20a3804">FP4_BLS48_norm</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x)</td></tr>
<tr class="memdesc:a1f93ad93d5ba74d6d94faaa1f20a3804"><td class="mdescLeft">&#160;</td><td class="mdescRight">Normalises the components of an FP4. <a href="#a1f93ad93d5ba74d6d94faaa1f20a3804">More...</a><br /></td></tr>
<tr class="separator:a1f93ad93d5ba74d6d94faaa1f20a3804"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af0be99ef8adc0fa40b416ad19a637c24"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#af0be99ef8adc0fa40b416ad19a637c24">FP4_BLS48_reduce</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x)</td></tr>
<tr class="memdesc:af0be99ef8adc0fa40b416ad19a637c24"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces all components of possibly unreduced FP4 mod Modulus. <a href="#af0be99ef8adc0fa40b416ad19a637c24">More...</a><br /></td></tr>
<tr class="separator:af0be99ef8adc0fa40b416ad19a637c24"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7e5d6e85ee5a2b220bebaaeb337b514f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#a7e5d6e85ee5a2b220bebaaeb337b514f">FP4_BLS48_pow</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *y, <a class="el" href="big__560__58_8h.html#a6149450df1017dc5c4ef9e54fad78b30">BIG_560_58</a> b)</td></tr>
<tr class="memdesc:a7e5d6e85ee5a2b220bebaaeb337b514f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP4 to the power of a BIG. <a href="#a7e5d6e85ee5a2b220bebaaeb337b514f">More...</a><br /></td></tr>
<tr class="separator:a7e5d6e85ee5a2b220bebaaeb337b514f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0e216c665d9fa1b58b97b6c632dea3fe"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#a0e216c665d9fa1b58b97b6c632dea3fe">FP4_BLS48_frob</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x, <a class="el" href="structFP2__BLS48.html">FP2_BLS48</a> *f)</td></tr>
<tr class="memdesc:a0e216c665d9fa1b58b97b6c632dea3fe"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP4 to the power of the internal modulus p, using the Frobenius. <a href="#a0e216c665d9fa1b58b97b6c632dea3fe">More...</a><br /></td></tr>
<tr class="separator:a0e216c665d9fa1b58b97b6c632dea3fe"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a75ec2f8c29a4ee5d89e80512f4eb1fd7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#a75ec2f8c29a4ee5d89e80512f4eb1fd7">FP4_BLS48_xtr_A</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *r, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *w, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *y, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *z)</td></tr>
<tr class="memdesc:a75ec2f8c29a4ee5d89e80512f4eb1fd7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the XTR addition function r=w*x-conj(x)*y+z. <a href="#a75ec2f8c29a4ee5d89e80512f4eb1fd7">More...</a><br /></td></tr>
<tr class="separator:a75ec2f8c29a4ee5d89e80512f4eb1fd7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa1b4d7399cf0772b267955d0e8947c60"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#aa1b4d7399cf0772b267955d0e8947c60">FP4_BLS48_xtr_D</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *r, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x)</td></tr>
<tr class="memdesc:aa1b4d7399cf0772b267955d0e8947c60"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the XTR doubling function r=x^2-2*conj(x) <a href="#aa1b4d7399cf0772b267955d0e8947c60">More...</a><br /></td></tr>
<tr class="separator:aa1b4d7399cf0772b267955d0e8947c60"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6432453fb0c1651a2fe5a1ae800e42f0"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#a6432453fb0c1651a2fe5a1ae800e42f0">FP4_BLS48_xtr_pow</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *r, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x, <a class="el" href="big__560__58_8h.html#a6149450df1017dc5c4ef9e54fad78b30">BIG_560_58</a> b)</td></tr>
<tr class="memdesc:a6432453fb0c1651a2fe5a1ae800e42f0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates FP4 trace of an FP12 raised to the power of a BIG number. <a href="#a6432453fb0c1651a2fe5a1ae800e42f0">More...</a><br /></td></tr>
<tr class="separator:a6432453fb0c1651a2fe5a1ae800e42f0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7761ccbdac6b2c1d8f7ec4ddd9b52888"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#a7761ccbdac6b2c1d8f7ec4ddd9b52888">FP4_BLS48_xtr_pow2</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *r, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *c, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *d, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *e, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *f, <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:a7761ccbdac6b2c1d8f7ec4ddd9b52888"><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="#a7761ccbdac6b2c1d8f7ec4ddd9b52888">More...</a><br /></td></tr>
<tr class="separator:a7761ccbdac6b2c1d8f7ec4ddd9b52888"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6d5c64f5dfc4759326fae880204cfaee"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#a6d5c64f5dfc4759326fae880204cfaee">FP4_BLS48_cmove</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *y, int s)</td></tr>
<tr class="memdesc:a6d5c64f5dfc4759326fae880204cfaee"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional copy of FP4 number. <a href="#a6d5c64f5dfc4759326fae880204cfaee">More...</a><br /></td></tr>
<tr class="separator:a6d5c64f5dfc4759326fae880204cfaee"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aabcbc11c52f6135339c5f718e00b8e5b"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#aabcbc11c52f6135339c5f718e00b8e5b">FP4_BLS48_sqrt</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *r, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x)</td></tr>
<tr class="memdesc:aabcbc11c52f6135339c5f718e00b8e5b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate square root of an FP4. <a href="#aabcbc11c52f6135339c5f718e00b8e5b">More...</a><br /></td></tr>
<tr class="separator:aabcbc11c52f6135339c5f718e00b8e5b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aba6a37948a143c156c1efe1be1e1095f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#aba6a37948a143c156c1efe1be1e1095f">FP4_BLS48_div_i</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x)</td></tr>
<tr class="memdesc:aba6a37948a143c156c1efe1be1e1095f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide FP4 number by QNR. <a href="#aba6a37948a143c156c1efe1be1e1095f">More...</a><br /></td></tr>
<tr class="separator:aba6a37948a143c156c1efe1be1e1095f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a11666c444b99c9d75c2a15fe664fdf85"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#a11666c444b99c9d75c2a15fe664fdf85">FP4_BLS48_div_2i</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x)</td></tr>
<tr class="memdesc:a11666c444b99c9d75c2a15fe664fdf85"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP4 by QNR/2. <a href="#a11666c444b99c9d75c2a15fe664fdf85">More...</a><br /></td></tr>
<tr class="separator:a11666c444b99c9d75c2a15fe664fdf85"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2590a102da0a4a35beb128ef12c98274"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BLS48_8h.html#a2590a102da0a4a35beb128ef12c98274">FP4_BLS48_div2</a> (<a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *x, <a class="el" href="structFP4__BLS48.html">FP4_BLS48</a> *y)</td></tr>
<tr class="memdesc:a2590a102da0a4a35beb128ef12c98274"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP4 by 2. <a href="#a2590a102da0a4a35beb128ef12c98274">More...</a><br /></td></tr>
<tr class="separator:a2590a102da0a4a35beb128ef12c98274"><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="ae620370a55b3cc57c32a5b3a792cc83f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae620370a55b3cc57c32a5b3a792cc83f">&#9670;&nbsp;</a></span>FP4_BLS48_add()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
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<td class="memname">void FP4_BLS48_add </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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="structFP4__BLS48.html">FP4_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="structFP4__BLS48.html">FP4_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>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="a6d5c64f5dfc4759326fae880204cfaee"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6d5c64f5dfc4759326fae880204cfaee">&#9670;&nbsp;</a></span>FP4_BLS48_cmove()</h2>
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<div class="memproto">
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<td class="memname">void FP4_BLS48_cmove </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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="structFP4__BLS48.html">FP4_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>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="a746de0c0bc1ec861cfed6722e0d30e8b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a746de0c0bc1ec861cfed6722e0d30e8b">&#9670;&nbsp;</a></span>FP4_BLS48_conj()</h2>
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<td class="memname">void FP4_BLS48_conj </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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="structFP4__BLS48.html">FP4_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>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="af56ef475c8920506a91f68ca35ffdce7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af56ef475c8920506a91f68ca35ffdce7">&#9670;&nbsp;</a></span>FP4_BLS48_copy()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
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<td class="memname">void FP4_BLS48_copy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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="structFP4__BLS48.html">FP4_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>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="a2590a102da0a4a35beb128ef12c98274"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2590a102da0a4a35beb128ef12c98274">&#9670;&nbsp;</a></span>FP4_BLS48_div2()</h2>
<div class="memitem">
<div class="memproto">
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<td class="memname">void FP4_BLS48_div2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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="structFP4__BLS48.html">FP4_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>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="a11666c444b99c9d75c2a15fe664fdf85"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a11666c444b99c9d75c2a15fe664fdf85">&#9670;&nbsp;</a></span>FP4_BLS48_div_2i()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS48_div_2i </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_BLS48</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="aba6a37948a143c156c1efe1be1e1095f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aba6a37948a143c156c1efe1be1e1095f">&#9670;&nbsp;</a></span>FP4_BLS48_div_i()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS48_div_i </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_BLS48</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="a70dd2a09a51461b47ab7dc4e194c49b6"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a70dd2a09a51461b47ab7dc4e194c49b6">&#9670;&nbsp;</a></span>FP4_BLS48_equals()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP4_BLS48_equals </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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="structFP4__BLS48.html">FP4_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>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="a0e216c665d9fa1b58b97b6c632dea3fe"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0e216c665d9fa1b58b97b6c632dea3fe">&#9670;&nbsp;</a></span>FP4_BLS48_frob()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS48_frob </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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>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="af5adb021441cfcfa36edfec9cc847563"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af5adb021441cfcfa36edfec9cc847563">&#9670;&nbsp;</a></span>FP4_BLS48_from_FP2()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS48_from_FP2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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>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="ac051c6ce5cf2ec1ce2fb191346780ec4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac051c6ce5cf2ec1ce2fb191346780ec4">&#9670;&nbsp;</a></span>FP4_BLS48_from_FP2H()</h2>
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<div class="memproto">
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<td class="memname">void FP4_BLS48_from_FP2H </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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>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="a6257c181dcb5169cf3b7ef0a71ed6cc6"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6257c181dcb5169cf3b7ef0a71ed6cc6">&#9670;&nbsp;</a></span>FP4_BLS48_from_FP2s()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP4_BLS48_from_FP2s </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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>a</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>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="ae581788163f859ba4441bc9dbf8e2871"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae581788163f859ba4441bc9dbf8e2871">&#9670;&nbsp;</a></span>FP4_BLS48_imul()</h2>
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<div class="memproto">
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<td class="memname">void FP4_BLS48_imul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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="structFP4__BLS48.html">FP4_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>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="ae4db9824ecd22b07903bc0634e53a525"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae4db9824ecd22b07903bc0634e53a525">&#9670;&nbsp;</a></span>FP4_BLS48_inv()</h2>
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<div class="memproto">
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<td class="memname">void FP4_BLS48_inv </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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="structFP4__BLS48.html">FP4_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>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="aee712744f5a6490f398a2169ab079305"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aee712744f5a6490f398a2169ab079305">&#9670;&nbsp;</a></span>FP4_BLS48_isreal()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">int FP4_BLS48_isreal </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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>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="a47f6c83a0cd2fa8f823582aa8679697a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a47f6c83a0cd2fa8f823582aa8679697a">&#9670;&nbsp;</a></span>FP4_BLS48_isunity()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP4_BLS48_isunity </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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>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="a611249afb40710ab421ef9613a1a5514"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a611249afb40710ab421ef9613a1a5514">&#9670;&nbsp;</a></span>FP4_BLS48_iszilch()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP4_BLS48_iszilch </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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>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="acb7e1028a445e89d140601da6d435163"></a>
<h2 class="memtitle"><span class="permalink"><a href="#acb7e1028a445e89d140601da6d435163">&#9670;&nbsp;</a></span>FP4_BLS48_mul()</h2>
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<div class="memproto">
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<td class="memname">void FP4_BLS48_mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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="structFP4__BLS48.html">FP4_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="structFP4__BLS48.html">FP4_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>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="a5cdf7be4a85d7d2ebe47e15c7e0f13c4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5cdf7be4a85d7d2ebe47e15c7e0f13c4">&#9670;&nbsp;</a></span>FP4_BLS48_nconj()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP4_BLS48_nconj </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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="structFP4__BLS48.html">FP4_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>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="af3af02656fbe4dc092e970963375b317"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af3af02656fbe4dc092e970963375b317">&#9670;&nbsp;</a></span>FP4_BLS48_neg()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP4_BLS48_neg </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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="structFP4__BLS48.html">FP4_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>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="a1f93ad93d5ba74d6d94faaa1f20a3804"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1f93ad93d5ba74d6d94faaa1f20a3804">&#9670;&nbsp;</a></span>FP4_BLS48_norm()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS48_norm </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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>FP4 instance to be normalised </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="af8b1fe406e11592dc5a43104830688b2"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af8b1fe406e11592dc5a43104830688b2">&#9670;&nbsp;</a></span>FP4_BLS48_one()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS48_one </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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>FP4 instance to be set to one </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="aeef78c9ffe63c523ae8aa7999864dfe1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aeef78c9ffe63c523ae8aa7999864dfe1">&#9670;&nbsp;</a></span>FP4_BLS48_output()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS48_output </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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>FP4 instance to be printed </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ad312305310dec6c7711a618569ad0e55"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad312305310dec6c7711a618569ad0e55">&#9670;&nbsp;</a></span>FP4_BLS48_pmul()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void FP4_BLS48_pmul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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="structFP4__BLS48.html">FP4_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>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="a7e5d6e85ee5a2b220bebaaeb337b514f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7e5d6e85ee5a2b220bebaaeb337b514f">&#9670;&nbsp;</a></span>FP4_BLS48_pow()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS48_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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="structFP4__BLS48.html">FP4_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>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="afd999e44fb13758199e613d1bae1c50b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#afd999e44fb13758199e613d1bae1c50b">&#9670;&nbsp;</a></span>FP4_BLS48_qmul()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS48_qmul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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="structFP4__BLS48.html">FP4_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>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="ab0b448803ddb2cea361e9ac0040809ac"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab0b448803ddb2cea361e9ac0040809ac">&#9670;&nbsp;</a></span>FP4_BLS48_rawoutput()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS48_rawoutput </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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>FP4 instance to be printed </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="af0be99ef8adc0fa40b416ad19a637c24"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af0be99ef8adc0fa40b416ad19a637c24">&#9670;&nbsp;</a></span>FP4_BLS48_reduce()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS48_reduce </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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>FP4 instance, on exit reduced mod Modulus </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a3c770dc5f63dc7b98312d89bc0bf3ced"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3c770dc5f63dc7b98312d89bc0bf3ced">&#9670;&nbsp;</a></span>FP4_BLS48_sqr()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS48_sqr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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="structFP4__BLS48.html">FP4_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>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="aabcbc11c52f6135339c5f718e00b8e5b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aabcbc11c52f6135339c5f718e00b8e5b">&#9670;&nbsp;</a></span>FP4_BLS48_sqrt()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int FP4_BLS48_sqrt </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48.html">FP4_BLS48</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="a413bbba3f3c447b099af89a593dd0e9c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a413bbba3f3c447b099af89a593dd0e9c">&#9670;&nbsp;</a></span>FP4_BLS48_sub()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS48_sub </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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="structFP4__BLS48.html">FP4_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="structFP4__BLS48.html">FP4_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>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="ace1922795087728455377dd367de0edf"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ace1922795087728455377dd367de0edf">&#9670;&nbsp;</a></span>FP4_BLS48_times_i()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS48_times_i </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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>FP4 instance, on exit = sqrt(1+sqrt(-1)*x </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a75ec2f8c29a4ee5d89e80512f4eb1fd7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a75ec2f8c29a4ee5d89e80512f4eb1fd7">&#9670;&nbsp;</a></span>FP4_BLS48_xtr_A()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS48_xtr_A </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48.html">FP4_BLS48</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__BLS48.html">FP4_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="structFP4__BLS48.html">FP4_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="structFP4__BLS48.html">FP4_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">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="aa1b4d7399cf0772b267955d0e8947c60"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa1b4d7399cf0772b267955d0e8947c60">&#9670;&nbsp;</a></span>FP4_BLS48_xtr_D()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS48_xtr_D </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48.html">FP4_BLS48</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="a6432453fb0c1651a2fe5a1ae800e42f0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6432453fb0c1651a2fe5a1ae800e42f0">&#9670;&nbsp;</a></span>FP4_BLS48_xtr_pow()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS48_xtr_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48.html">FP4_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>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="a7761ccbdac6b2c1d8f7ec4ddd9b52888"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7761ccbdac6b2c1d8f7ec4ddd9b52888">&#9670;&nbsp;</a></span>FP4_BLS48_xtr_pow2()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS48_xtr_pow2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_BLS48</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__BLS48.html">FP4_BLS48</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__BLS48.html">FP4_BLS48</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__BLS48.html">FP4_BLS48</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__BLS48.html">FP4_BLS48</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__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">
<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="a5f843b9d548c32a78f3b7bc3fcf3317c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5f843b9d548c32a78f3b7bc3fcf3317c">&#9670;&nbsp;</a></span>FP4_BLS48_zero()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_BLS48_zero </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__BLS48.html">FP4_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>FP4 instance to be set to zero </td></tr>
</table>
</dd>
</dl>
</div>
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