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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__FP256BN_8h_source.html">fp2_FP256BN.h</a>&quot;</code><br />
<code>#include &quot;config_curve_FP256BN.h&quot;</code><br />
</div>
<p><a href="fp4__FP256BN_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__FP256BN.html">FP4_FP256BN</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">FP4 Structure - towered over two FP2. <a href="structFP4__FP256BN.html#details">More...</a><br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a6254a812179f40f940199f910ebadf11"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a6254a812179f40f940199f910ebadf11">FP4_FP256BN_iszilch</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x)</td></tr>
<tr class="memdesc:a6254a812179f40f940199f910ebadf11"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP4 equal to zero. <a href="#a6254a812179f40f940199f910ebadf11">More...</a><br /></td></tr>
<tr class="separator:a6254a812179f40f940199f910ebadf11"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac3d10cea356f3dd1b64d31fc9fef5bfc"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#ac3d10cea356f3dd1b64d31fc9fef5bfc">FP4_FP256BN_isunity</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x)</td></tr>
<tr class="memdesc:ac3d10cea356f3dd1b64d31fc9fef5bfc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP4 equal to unity. <a href="#ac3d10cea356f3dd1b64d31fc9fef5bfc">More...</a><br /></td></tr>
<tr class="separator:ac3d10cea356f3dd1b64d31fc9fef5bfc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab7d63dfadb047ece7be03c9c9804ae1b"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#ab7d63dfadb047ece7be03c9c9804ae1b">FP4_FP256BN_equals</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y)</td></tr>
<tr class="memdesc:ab7d63dfadb047ece7be03c9c9804ae1b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for equality of two FP4s. <a href="#ab7d63dfadb047ece7be03c9c9804ae1b">More...</a><br /></td></tr>
<tr class="separator:ab7d63dfadb047ece7be03c9c9804ae1b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a846a6fbadb9e277d049266066a02274e"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a846a6fbadb9e277d049266066a02274e">FP4_FP256BN_isreal</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x)</td></tr>
<tr class="memdesc:a846a6fbadb9e277d049266066a02274e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP4 having only a real part and no imaginary part. <a href="#a846a6fbadb9e277d049266066a02274e">More...</a><br /></td></tr>
<tr class="separator:a846a6fbadb9e277d049266066a02274e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afb06e4b9fbf56a7c8137e39677369931"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#afb06e4b9fbf56a7c8137e39677369931">FP4_FP256BN_from_FP2s</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x, <a class="el" href="structFP2__FP256BN.html">FP2_FP256BN</a> *a, <a class="el" href="structFP2__FP256BN.html">FP2_FP256BN</a> *b)</td></tr>
<tr class="memdesc:afb06e4b9fbf56a7c8137e39677369931"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP4 from two FP2s. <a href="#afb06e4b9fbf56a7c8137e39677369931">More...</a><br /></td></tr>
<tr class="separator:afb06e4b9fbf56a7c8137e39677369931"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0aca822840b0307d00f6314be85f0751"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a0aca822840b0307d00f6314be85f0751">FP4_FP256BN_from_FP2</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x, <a class="el" href="structFP2__FP256BN.html">FP2_FP256BN</a> *a)</td></tr>
<tr class="memdesc:a0aca822840b0307d00f6314be85f0751"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP4 from single FP2. <a href="#a0aca822840b0307d00f6314be85f0751">More...</a><br /></td></tr>
<tr class="separator:a0aca822840b0307d00f6314be85f0751"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a481cb0b8e166d414e20109e45644c1d7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a481cb0b8e166d414e20109e45644c1d7">FP4_FP256BN_from_FP2H</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x, <a class="el" href="structFP2__FP256BN.html">FP2_FP256BN</a> *a)</td></tr>
<tr class="memdesc:a481cb0b8e166d414e20109e45644c1d7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP4 from single FP2. <a href="#a481cb0b8e166d414e20109e45644c1d7">More...</a><br /></td></tr>
<tr class="separator:a481cb0b8e166d414e20109e45644c1d7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2073b8dd17670e26a21b1e1a59922a83"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a2073b8dd17670e26a21b1e1a59922a83">FP4_FP256BN_copy</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y)</td></tr>
<tr class="memdesc:a2073b8dd17670e26a21b1e1a59922a83"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy FP4 to another FP4. <a href="#a2073b8dd17670e26a21b1e1a59922a83">More...</a><br /></td></tr>
<tr class="separator:a2073b8dd17670e26a21b1e1a59922a83"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a773498a89391b919f6246882da525c12"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a773498a89391b919f6246882da525c12">FP4_FP256BN_zero</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x)</td></tr>
<tr class="memdesc:a773498a89391b919f6246882da525c12"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP4 to zero. <a href="#a773498a89391b919f6246882da525c12">More...</a><br /></td></tr>
<tr class="separator:a773498a89391b919f6246882da525c12"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3a2443d35f313d00c372d434838e6f23"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a3a2443d35f313d00c372d434838e6f23">FP4_FP256BN_one</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x)</td></tr>
<tr class="memdesc:a3a2443d35f313d00c372d434838e6f23"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP4 to unity. <a href="#a3a2443d35f313d00c372d434838e6f23">More...</a><br /></td></tr>
<tr class="separator:a3a2443d35f313d00c372d434838e6f23"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a86c956bbdfc6e300d5e255dbe1971b3c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a86c956bbdfc6e300d5e255dbe1971b3c">FP4_FP256BN_neg</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y)</td></tr>
<tr class="memdesc:a86c956bbdfc6e300d5e255dbe1971b3c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negation of FP4. <a href="#a86c956bbdfc6e300d5e255dbe1971b3c">More...</a><br /></td></tr>
<tr class="separator:a86c956bbdfc6e300d5e255dbe1971b3c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2cb7168382b258431c62eb2b653a1722"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a2cb7168382b258431c62eb2b653a1722">FP4_FP256BN_conj</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y)</td></tr>
<tr class="memdesc:a2cb7168382b258431c62eb2b653a1722"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conjugation of FP4. <a href="#a2cb7168382b258431c62eb2b653a1722">More...</a><br /></td></tr>
<tr class="separator:a2cb7168382b258431c62eb2b653a1722"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a64fa3dc1e25fbc0ca2d759873ef67e03"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a64fa3dc1e25fbc0ca2d759873ef67e03">FP4_FP256BN_nconj</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y)</td></tr>
<tr class="memdesc:a64fa3dc1e25fbc0ca2d759873ef67e03"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negative conjugation of FP4. <a href="#a64fa3dc1e25fbc0ca2d759873ef67e03">More...</a><br /></td></tr>
<tr class="separator:a64fa3dc1e25fbc0ca2d759873ef67e03"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5f5fd95bf292c5351aa1286d3102473d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a5f5fd95bf292c5351aa1286d3102473d">FP4_FP256BN_add</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *z)</td></tr>
<tr class="memdesc:a5f5fd95bf292c5351aa1286d3102473d"><td class="mdescLeft">&#160;</td><td class="mdescRight">addition of two FP4s <a href="#a5f5fd95bf292c5351aa1286d3102473d">More...</a><br /></td></tr>
<tr class="separator:a5f5fd95bf292c5351aa1286d3102473d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7c4f2b82dd00b4b9bd32ad194b5915eb"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a7c4f2b82dd00b4b9bd32ad194b5915eb">FP4_FP256BN_sub</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *z)</td></tr>
<tr class="memdesc:a7c4f2b82dd00b4b9bd32ad194b5915eb"><td class="mdescLeft">&#160;</td><td class="mdescRight">subtraction of two FP4s <a href="#a7c4f2b82dd00b4b9bd32ad194b5915eb">More...</a><br /></td></tr>
<tr class="separator:a7c4f2b82dd00b4b9bd32ad194b5915eb"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9a733fa130464e87ba0c41d8f36f2c71"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a9a733fa130464e87ba0c41d8f36f2c71">FP4_FP256BN_pmul</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y, <a class="el" href="structFP2__FP256BN.html">FP2_FP256BN</a> *a)</td></tr>
<tr class="memdesc:a9a733fa130464e87ba0c41d8f36f2c71"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of an FP4 by an FP2. <a href="#a9a733fa130464e87ba0c41d8f36f2c71">More...</a><br /></td></tr>
<tr class="separator:a9a733fa130464e87ba0c41d8f36f2c71"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a401bfb75733fc778dc6a3142cc5d69fb"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a401bfb75733fc778dc6a3142cc5d69fb">FP4_FP256BN_qmul</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y, <a class="el" href="structFP__FP256BN.html">FP_FP256BN</a> *a)</td></tr>
<tr class="memdesc:a401bfb75733fc778dc6a3142cc5d69fb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of an FP4 by an FP. <a href="#a401bfb75733fc778dc6a3142cc5d69fb">More...</a><br /></td></tr>
<tr class="separator:a401bfb75733fc778dc6a3142cc5d69fb"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a130978950759dd2fb78a696cd046c757"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a130978950759dd2fb78a696cd046c757">FP4_FP256BN_imul</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y, int i)</td></tr>
<tr class="memdesc:a130978950759dd2fb78a696cd046c757"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of an FP4 by a small integer. <a href="#a130978950759dd2fb78a696cd046c757">More...</a><br /></td></tr>
<tr class="separator:a130978950759dd2fb78a696cd046c757"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab3dcf11e964c673efd66f363f153e460"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#ab3dcf11e964c673efd66f363f153e460">FP4_FP256BN_sqr</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y)</td></tr>
<tr class="memdesc:ab3dcf11e964c673efd66f363f153e460"><td class="mdescLeft">&#160;</td><td class="mdescRight">Squaring an FP4. <a href="#ab3dcf11e964c673efd66f363f153e460">More...</a><br /></td></tr>
<tr class="separator:ab3dcf11e964c673efd66f363f153e460"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6dc91c5c817967288bcdf2fabdf0ba24"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a6dc91c5c817967288bcdf2fabdf0ba24">FP4_FP256BN_mul</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *z)</td></tr>
<tr class="memdesc:a6dc91c5c817967288bcdf2fabdf0ba24"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication of two FP4s. <a href="#a6dc91c5c817967288bcdf2fabdf0ba24">More...</a><br /></td></tr>
<tr class="separator:a6dc91c5c817967288bcdf2fabdf0ba24"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad0645a295bcc25736d3491a74dd9f576"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#ad0645a295bcc25736d3491a74dd9f576">FP4_FP256BN_inv</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y)</td></tr>
<tr class="memdesc:ad0645a295bcc25736d3491a74dd9f576"><td class="mdescLeft">&#160;</td><td class="mdescRight">Inverting an FP4. <a href="#ad0645a295bcc25736d3491a74dd9f576">More...</a><br /></td></tr>
<tr class="separator:ad0645a295bcc25736d3491a74dd9f576"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a306a9ef0860c525b9456ceb694727934"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a306a9ef0860c525b9456ceb694727934">FP4_FP256BN_output</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x)</td></tr>
<tr class="memdesc:a306a9ef0860c525b9456ceb694727934"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP4 to the console. <a href="#a306a9ef0860c525b9456ceb694727934">More...</a><br /></td></tr>
<tr class="separator:a306a9ef0860c525b9456ceb694727934"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac6ca73201a848932fccb615fde9dc770"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#ac6ca73201a848932fccb615fde9dc770">FP4_FP256BN_rawoutput</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x)</td></tr>
<tr class="memdesc:ac6ca73201a848932fccb615fde9dc770"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP4 to the console in raw form (for debugging) <a href="#ac6ca73201a848932fccb615fde9dc770">More...</a><br /></td></tr>
<tr class="separator:ac6ca73201a848932fccb615fde9dc770"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a823d7ae791f9c9e98296a78c997f23df"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a823d7ae791f9c9e98296a78c997f23df">FP4_FP256BN_times_i</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x)</td></tr>
<tr class="memdesc:a823d7ae791f9c9e98296a78c997f23df"><td class="mdescLeft">&#160;</td><td class="mdescRight">multiplies an FP4 instance by irreducible polynomial sqrt(1+sqrt(-1)) <a href="#a823d7ae791f9c9e98296a78c997f23df">More...</a><br /></td></tr>
<tr class="separator:a823d7ae791f9c9e98296a78c997f23df"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9c0be501c943362a1da8a3c585efaa27"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a9c0be501c943362a1da8a3c585efaa27">FP4_FP256BN_norm</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x)</td></tr>
<tr class="memdesc:a9c0be501c943362a1da8a3c585efaa27"><td class="mdescLeft">&#160;</td><td class="mdescRight">Normalises the components of an FP4. <a href="#a9c0be501c943362a1da8a3c585efaa27">More...</a><br /></td></tr>
<tr class="separator:a9c0be501c943362a1da8a3c585efaa27"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a074b78a1c8dfe032998e7e44be957959"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a074b78a1c8dfe032998e7e44be957959">FP4_FP256BN_reduce</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x)</td></tr>
<tr class="memdesc:a074b78a1c8dfe032998e7e44be957959"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces all components of possibly unreduced FP4 mod Modulus. <a href="#a074b78a1c8dfe032998e7e44be957959">More...</a><br /></td></tr>
<tr class="separator:a074b78a1c8dfe032998e7e44be957959"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a884727f8b9e6bd8a6e2a2476b41cad66"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a884727f8b9e6bd8a6e2a2476b41cad66">FP4_FP256BN_pow</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y, <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> b)</td></tr>
<tr class="memdesc:a884727f8b9e6bd8a6e2a2476b41cad66"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP4 to the power of a BIG. <a href="#a884727f8b9e6bd8a6e2a2476b41cad66">More...</a><br /></td></tr>
<tr class="separator:a884727f8b9e6bd8a6e2a2476b41cad66"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3a230bb54dba041abb06e3f7384170f7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a3a230bb54dba041abb06e3f7384170f7">FP4_FP256BN_frob</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x, <a class="el" href="structFP2__FP256BN.html">FP2_FP256BN</a> *f)</td></tr>
<tr class="memdesc:a3a230bb54dba041abb06e3f7384170f7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP4 to the power of the internal modulus p, using the Frobenius. <a href="#a3a230bb54dba041abb06e3f7384170f7">More...</a><br /></td></tr>
<tr class="separator:a3a230bb54dba041abb06e3f7384170f7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5a082b7c04376b2e5d6d7a8b485e06cc"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a5a082b7c04376b2e5d6d7a8b485e06cc">FP4_FP256BN_xtr_A</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *r, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *w, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *z)</td></tr>
<tr class="memdesc:a5a082b7c04376b2e5d6d7a8b485e06cc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the XTR addition function r=w*x-conj(x)*y+z. <a href="#a5a082b7c04376b2e5d6d7a8b485e06cc">More...</a><br /></td></tr>
<tr class="separator:a5a082b7c04376b2e5d6d7a8b485e06cc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae94c49d807838945fd8b9b40914f70ce"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#ae94c49d807838945fd8b9b40914f70ce">FP4_FP256BN_xtr_D</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *r, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x)</td></tr>
<tr class="memdesc:ae94c49d807838945fd8b9b40914f70ce"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the XTR doubling function r=x^2-2*conj(x) <a href="#ae94c49d807838945fd8b9b40914f70ce">More...</a><br /></td></tr>
<tr class="separator:ae94c49d807838945fd8b9b40914f70ce"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aab43369dcadefdb798dea858a04b4d46"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#aab43369dcadefdb798dea858a04b4d46">FP4_FP256BN_xtr_pow</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *r, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x, <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> b)</td></tr>
<tr class="memdesc:aab43369dcadefdb798dea858a04b4d46"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates FP4 trace of an FP12 raised to the power of a BIG number. <a href="#aab43369dcadefdb798dea858a04b4d46">More...</a><br /></td></tr>
<tr class="separator:aab43369dcadefdb798dea858a04b4d46"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7aa5543add1ec1c71d70096b1587f69e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a7aa5543add1ec1c71d70096b1587f69e">FP4_FP256BN_xtr_pow2</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *r, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *c, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *d, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *e, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *f, <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> a, <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> b)</td></tr>
<tr class="memdesc:a7aa5543add1ec1c71d70096b1587f69e"><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="#a7aa5543add1ec1c71d70096b1587f69e">More...</a><br /></td></tr>
<tr class="separator:a7aa5543add1ec1c71d70096b1587f69e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6865fd6ec567c9dcde56de80f1849038"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a6865fd6ec567c9dcde56de80f1849038">FP4_FP256BN_cmove</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y, int s)</td></tr>
<tr class="memdesc:a6865fd6ec567c9dcde56de80f1849038"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional copy of FP4 number. <a href="#a6865fd6ec567c9dcde56de80f1849038">More...</a><br /></td></tr>
<tr class="separator:a6865fd6ec567c9dcde56de80f1849038"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a30c8143fc80aec305d6808ad857111e6"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a30c8143fc80aec305d6808ad857111e6">FP4_FP256BN_sqrt</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *r, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x)</td></tr>
<tr class="memdesc:a30c8143fc80aec305d6808ad857111e6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate square root of an FP4. <a href="#a30c8143fc80aec305d6808ad857111e6">More...</a><br /></td></tr>
<tr class="separator:a30c8143fc80aec305d6808ad857111e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a56b52d2e9122742f2b7b112564cd25b2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#a56b52d2e9122742f2b7b112564cd25b2">FP4_FP256BN_div_i</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x)</td></tr>
<tr class="memdesc:a56b52d2e9122742f2b7b112564cd25b2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide FP4 number by QNR. <a href="#a56b52d2e9122742f2b7b112564cd25b2">More...</a><br /></td></tr>
<tr class="separator:a56b52d2e9122742f2b7b112564cd25b2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abf12a196bd4bd76c7cb6294ff22126ad"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#abf12a196bd4bd76c7cb6294ff22126ad">FP4_FP256BN_div_2i</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x)</td></tr>
<tr class="memdesc:abf12a196bd4bd76c7cb6294ff22126ad"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP4 by QNR/2. <a href="#abf12a196bd4bd76c7cb6294ff22126ad">More...</a><br /></td></tr>
<tr class="separator:abf12a196bd4bd76c7cb6294ff22126ad"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae971c64134f3aacae3539fa4dcdc2de4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP256BN_8h.html#ae971c64134f3aacae3539fa4dcdc2de4">FP4_FP256BN_div2</a> (<a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x, <a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y)</td></tr>
<tr class="memdesc:ae971c64134f3aacae3539fa4dcdc2de4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP4 by 2. <a href="#ae971c64134f3aacae3539fa4dcdc2de4">More...</a><br /></td></tr>
<tr class="separator:ae971c64134f3aacae3539fa4dcdc2de4"><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="a5f5fd95bf292c5351aa1286d3102473d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5f5fd95bf292c5351aa1286d3102473d">&#9670;&nbsp;</a></span>FP4_FP256BN_add()</h2>
<div class="memitem">
<div class="memproto">
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<td class="memname">void FP4_FP256BN_add </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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="a6865fd6ec567c9dcde56de80f1849038"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6865fd6ec567c9dcde56de80f1849038">&#9670;&nbsp;</a></span>FP4_FP256BN_cmove()</h2>
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<td class="memname">void FP4_FP256BN_cmove </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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>
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<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<p>Conditionally copies second parameter to the first (without branching) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>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="a2cb7168382b258431c62eb2b653a1722"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2cb7168382b258431c62eb2b653a1722">&#9670;&nbsp;</a></span>FP4_FP256BN_conj()</h2>
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<td class="memname">void FP4_FP256BN_conj </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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="a2073b8dd17670e26a21b1e1a59922a83"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2073b8dd17670e26a21b1e1a59922a83">&#9670;&nbsp;</a></span>FP4_FP256BN_copy()</h2>
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<td class="memname">void FP4_FP256BN_copy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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="ae971c64134f3aacae3539fa4dcdc2de4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae971c64134f3aacae3539fa4dcdc2de4">&#9670;&nbsp;</a></span>FP4_FP256BN_div2()</h2>
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<td class="memname">void FP4_FP256BN_div2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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="abf12a196bd4bd76c7cb6294ff22126ad"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abf12a196bd4bd76c7cb6294ff22126ad">&#9670;&nbsp;</a></span>FP4_FP256BN_div_2i()</h2>
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<td class="memname">void FP4_FP256BN_div_2i </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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="a56b52d2e9122742f2b7b112564cd25b2"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a56b52d2e9122742f2b7b112564cd25b2">&#9670;&nbsp;</a></span>FP4_FP256BN_div_i()</h2>
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<td class="memname">void FP4_FP256BN_div_i </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
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<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="ab7d63dfadb047ece7be03c9c9804ae1b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab7d63dfadb047ece7be03c9c9804ae1b">&#9670;&nbsp;</a></span>FP4_FP256BN_equals()</h2>
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<td class="memname">int FP4_FP256BN_equals </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<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="a3a230bb54dba041abb06e3f7384170f7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3a230bb54dba041abb06e3f7384170f7">&#9670;&nbsp;</a></span>FP4_FP256BN_frob()</h2>
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<td class="memname">void FP4_FP256BN_frob </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP2_FP256BN</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="a0aca822840b0307d00f6314be85f0751"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0aca822840b0307d00f6314be85f0751">&#9670;&nbsp;</a></span>FP4_FP256BN_from_FP2()</h2>
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<td class="memname">void FP4_FP256BN_from_FP2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP2_FP256BN</a> *&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<p>Imaginary part is set to zero </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>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>
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<h2 class="memtitle"><span class="permalink"><a href="#a481cb0b8e166d414e20109e45644c1d7">&#9670;&nbsp;</a></span>FP4_FP256BN_from_FP2H()</h2>
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<td class="memname">void FP4_FP256BN_from_FP2H </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP2_FP256BN</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>
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<h2 class="memtitle"><span class="permalink"><a href="#afb06e4b9fbf56a7c8137e39677369931">&#9670;&nbsp;</a></span>FP4_FP256BN_from_FP2s()</h2>
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<td class="memname">void FP4_FP256BN_from_FP2s </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP2_FP256BN</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__FP256BN.html">FP2_FP256BN</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="a130978950759dd2fb78a696cd046c757"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a130978950759dd2fb78a696cd046c757">&#9670;&nbsp;</a></span>FP4_FP256BN_imul()</h2>
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<td class="memname">void FP4_FP256BN_imul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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>
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<a id="ad0645a295bcc25736d3491a74dd9f576"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad0645a295bcc25736d3491a74dd9f576">&#9670;&nbsp;</a></span>FP4_FP256BN_inv()</h2>
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<td class="memname">void FP4_FP256BN_inv </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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="a846a6fbadb9e277d049266066a02274e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a846a6fbadb9e277d049266066a02274e">&#9670;&nbsp;</a></span>FP4_FP256BN_isreal()</h2>
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<td class="memname">int FP4_FP256BN_isreal </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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>
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<a id="ac3d10cea356f3dd1b64d31fc9fef5bfc"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac3d10cea356f3dd1b64d31fc9fef5bfc">&#9670;&nbsp;</a></span>FP4_FP256BN_isunity()</h2>
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<td class="memname">int FP4_FP256BN_isunity </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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>
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<h2 class="memtitle"><span class="permalink"><a href="#a6254a812179f40f940199f910ebadf11">&#9670;&nbsp;</a></span>FP4_FP256BN_iszilch()</h2>
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<td class="memname">int FP4_FP256BN_iszilch </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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>
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<a id="a6dc91c5c817967288bcdf2fabdf0ba24"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6dc91c5c817967288bcdf2fabdf0ba24">&#9670;&nbsp;</a></span>FP4_FP256BN_mul()</h2>
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<td class="memname">void FP4_FP256BN_mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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="a64fa3dc1e25fbc0ca2d759873ef67e03"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a64fa3dc1e25fbc0ca2d759873ef67e03">&#9670;&nbsp;</a></span>FP4_FP256BN_nconj()</h2>
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<td class="memname">void FP4_FP256BN_nconj </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<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="a86c956bbdfc6e300d5e255dbe1971b3c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a86c956bbdfc6e300d5e255dbe1971b3c">&#9670;&nbsp;</a></span>FP4_FP256BN_neg()</h2>
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<td class="memname">void FP4_FP256BN_neg </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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="a9c0be501c943362a1da8a3c585efaa27"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9c0be501c943362a1da8a3c585efaa27">&#9670;&nbsp;</a></span>FP4_FP256BN_norm()</h2>
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<td class="memname">void FP4_FP256BN_norm </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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="a3a2443d35f313d00c372d434838e6f23"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3a2443d35f313d00c372d434838e6f23">&#9670;&nbsp;</a></span>FP4_FP256BN_one()</h2>
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<td class="memname">void FP4_FP256BN_one </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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="a306a9ef0860c525b9456ceb694727934"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a306a9ef0860c525b9456ceb694727934">&#9670;&nbsp;</a></span>FP4_FP256BN_output()</h2>
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<td class="memname">void FP4_FP256BN_output </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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="a9a733fa130464e87ba0c41d8f36f2c71"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9a733fa130464e87ba0c41d8f36f2c71">&#9670;&nbsp;</a></span>FP4_FP256BN_pmul()</h2>
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<td class="memname">void FP4_FP256BN_pmul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP2_FP256BN</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="a884727f8b9e6bd8a6e2a2476b41cad66"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a884727f8b9e6bd8a6e2a2476b41cad66">&#9670;&nbsp;</a></span>FP4_FP256BN_pow()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_FP256BN_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = y^b </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">b</td><td>BIG number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a401bfb75733fc778dc6a3142cc5d69fb"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a401bfb75733fc778dc6a3142cc5d69fb">&#9670;&nbsp;</a></span>FP4_FP256BN_qmul()</h2>
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<td class="memname">void FP4_FP256BN_qmul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP_FP256BN</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="ac6ca73201a848932fccb615fde9dc770"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac6ca73201a848932fccb615fde9dc770">&#9670;&nbsp;</a></span>FP4_FP256BN_rawoutput()</h2>
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<td class="memname">void FP4_FP256BN_rawoutput </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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="a074b78a1c8dfe032998e7e44be957959"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a074b78a1c8dfe032998e7e44be957959">&#9670;&nbsp;</a></span>FP4_FP256BN_reduce()</h2>
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<td class="memname">void FP4_FP256BN_reduce </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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="ab3dcf11e964c673efd66f363f153e460"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab3dcf11e964c673efd66f363f153e460">&#9670;&nbsp;</a></span>FP4_FP256BN_sqr()</h2>
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<td class="memname">void FP4_FP256BN_sqr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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="a30c8143fc80aec305d6808ad857111e6"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a30c8143fc80aec305d6808ad857111e6">&#9670;&nbsp;</a></span>FP4_FP256BN_sqrt()</h2>
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<div class="memproto">
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<td class="memname">int FP4_FP256BN_sqrt </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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="a7c4f2b82dd00b4b9bd32ad194b5915eb"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7c4f2b82dd00b4b9bd32ad194b5915eb">&#9670;&nbsp;</a></span>FP4_FP256BN_sub()</h2>
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<td class="memname">void FP4_FP256BN_sub </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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="a823d7ae791f9c9e98296a78c997f23df"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a823d7ae791f9c9e98296a78c997f23df">&#9670;&nbsp;</a></span>FP4_FP256BN_times_i()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_FP256BN_times_i </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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="a5a082b7c04376b2e5d6d7a8b485e06cc"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5a082b7c04376b2e5d6d7a8b485e06cc">&#9670;&nbsp;</a></span>FP4_FP256BN_xtr_A()</h2>
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<div class="memproto">
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<td class="memname">void FP4_FP256BN_xtr_A </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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="ae94c49d807838945fd8b9b40914f70ce"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae94c49d807838945fd8b9b40914f70ce">&#9670;&nbsp;</a></span>FP4_FP256BN_xtr_D()</h2>
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<div class="memproto">
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<td class="memname">void FP4_FP256BN_xtr_D </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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="aab43369dcadefdb798dea858a04b4d46"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aab43369dcadefdb798dea858a04b4d46">&#9670;&nbsp;</a></span>FP4_FP256BN_xtr_pow()</h2>
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<div class="memproto">
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<td class="memname">void FP4_FP256BN_xtr_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>XTR single exponentiation </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>FP4 instance, on exit = trace(w^b) </td></tr>
<tr><td class="paramname">x</td><td>FP4 instance, trace of an FP12 w </td></tr>
<tr><td class="paramname">b</td><td>BIG number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a7aa5543add1ec1c71d70096b1587f69e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7aa5543add1ec1c71d70096b1587f69e">&#9670;&nbsp;</a></span>FP4_FP256BN_xtr_pow2()</h2>
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<div class="memproto">
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<tr>
<td class="memname">void FP4_FP256BN_xtr_pow2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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__FP256BN.html">FP4_FP256BN</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__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td>
<td class="paramname"><em>a</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>XTR double exponentiation Assumes c=tr(x^m), d=tr(x^n), e=tr(x^(m-n)), f=tr(x^(m-2n)) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>FP4 instance, on exit = trace(c^a.d^b) </td></tr>
<tr><td class="paramname">c</td><td>FP4 instance, trace of an FP12 </td></tr>
<tr><td class="paramname">d</td><td>FP4 instance, trace of an FP12 </td></tr>
<tr><td class="paramname">e</td><td>FP4 instance, trace of an FP12 </td></tr>
<tr><td class="paramname">f</td><td>FP4 instance, trace of an FP12 </td></tr>
<tr><td class="paramname">a</td><td>BIG number </td></tr>
<tr><td class="paramname">b</td><td>BIG number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a773498a89391b919f6246882da525c12"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a773498a89391b919f6246882da525c12">&#9670;&nbsp;</a></span>FP4_FP256BN_zero()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_FP256BN_zero </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP256BN.html">FP4_FP256BN</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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