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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__FP512BN_8h_source.html">fp2_FP512BN.h</a>&quot;</code><br />
<code>#include &quot;config_curve_FP512BN.h&quot;</code><br />
</div>
<p><a href="fp4__FP512BN_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__FP512BN.html">FP4_FP512BN</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">FP4 Structure - towered over two FP2. <a href="structFP4__FP512BN.html#details">More...</a><br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a9bf6e54ebdf4cf77ce498c0e01315bb8"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#a9bf6e54ebdf4cf77ce498c0e01315bb8">FP4_FP512BN_iszilch</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x)</td></tr>
<tr class="memdesc:a9bf6e54ebdf4cf77ce498c0e01315bb8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP4 equal to zero. <a href="#a9bf6e54ebdf4cf77ce498c0e01315bb8">More...</a><br /></td></tr>
<tr class="separator:a9bf6e54ebdf4cf77ce498c0e01315bb8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6e7f8e53d4fd9b50d38e34406be704eb"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#a6e7f8e53d4fd9b50d38e34406be704eb">FP4_FP512BN_isunity</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x)</td></tr>
<tr class="memdesc:a6e7f8e53d4fd9b50d38e34406be704eb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP4 equal to unity. <a href="#a6e7f8e53d4fd9b50d38e34406be704eb">More...</a><br /></td></tr>
<tr class="separator:a6e7f8e53d4fd9b50d38e34406be704eb"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="memdesc:a1547e186db86b79552f24fa155328762"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for equality of two FP4s. <a href="#a1547e186db86b79552f24fa155328762">More...</a><br /></td></tr>
<tr class="separator:a1547e186db86b79552f24fa155328762"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a131f3d69c4f02a3fd77552800312a9b0"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#a131f3d69c4f02a3fd77552800312a9b0">FP4_FP512BN_isreal</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x)</td></tr>
<tr class="memdesc:a131f3d69c4f02a3fd77552800312a9b0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP4 having only a real part and no imaginary part. <a href="#a131f3d69c4f02a3fd77552800312a9b0">More...</a><br /></td></tr>
<tr class="separator:a131f3d69c4f02a3fd77552800312a9b0"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="memdesc:a1ba45e3a45e44fc0d557eab693f8f0c1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP4 from two FP2s. <a href="#a1ba45e3a45e44fc0d557eab693f8f0c1">More...</a><br /></td></tr>
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<tr class="memitem:a11a400fdbceac7932ecc5d151dc4b268"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#a11a400fdbceac7932ecc5d151dc4b268">FP4_FP512BN_from_FP2</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x, <a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *a)</td></tr>
<tr class="memdesc:a11a400fdbceac7932ecc5d151dc4b268"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialise FP4 from single FP2. <a href="#a11a400fdbceac7932ecc5d151dc4b268">More...</a><br /></td></tr>
<tr class="separator:a11a400fdbceac7932ecc5d151dc4b268"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="separator:a4321901ba6571f18f0bc34ee6034cf6a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abd0b618186ec3ff610cdf4f3c0a0ecb0"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#abd0b618186ec3ff610cdf4f3c0a0ecb0">FP4_FP512BN_copy</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *y)</td></tr>
<tr class="memdesc:abd0b618186ec3ff610cdf4f3c0a0ecb0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy FP4 to another FP4. <a href="#abd0b618186ec3ff610cdf4f3c0a0ecb0">More...</a><br /></td></tr>
<tr class="separator:abd0b618186ec3ff610cdf4f3c0a0ecb0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0f46b3f4f84ce7e0e9bf904d347cce67"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#a0f46b3f4f84ce7e0e9bf904d347cce67">FP4_FP512BN_zero</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x)</td></tr>
<tr class="memdesc:a0f46b3f4f84ce7e0e9bf904d347cce67"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP4 to zero. <a href="#a0f46b3f4f84ce7e0e9bf904d347cce67">More...</a><br /></td></tr>
<tr class="separator:a0f46b3f4f84ce7e0e9bf904d347cce67"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6991205e8dc3ea3cf96232e418ebbe7e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#a6991205e8dc3ea3cf96232e418ebbe7e">FP4_FP512BN_one</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x)</td></tr>
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<tr class="separator:a6991205e8dc3ea3cf96232e418ebbe7e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a668a798a3ef290d07c61a2476d512a7b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#a668a798a3ef290d07c61a2476d512a7b">FP4_FP512BN_neg</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *y)</td></tr>
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<tr class="separator:a668a798a3ef290d07c61a2476d512a7b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4f96e2e83333432e945cf0dd7c09d6df"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#a4f96e2e83333432e945cf0dd7c09d6df">FP4_FP512BN_conj</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *y)</td></tr>
<tr class="memdesc:a4f96e2e83333432e945cf0dd7c09d6df"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conjugation of FP4. <a href="#a4f96e2e83333432e945cf0dd7c09d6df">More...</a><br /></td></tr>
<tr class="separator:a4f96e2e83333432e945cf0dd7c09d6df"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8eb2d3331714b15dd853741bc5ed891b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#a8eb2d3331714b15dd853741bc5ed891b">FP4_FP512BN_nconj</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *y)</td></tr>
<tr class="memdesc:a8eb2d3331714b15dd853741bc5ed891b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negative conjugation of FP4. <a href="#a8eb2d3331714b15dd853741bc5ed891b">More...</a><br /></td></tr>
<tr class="separator:a8eb2d3331714b15dd853741bc5ed891b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a511999d4f1c5095d7218cfb6bed10836"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#a511999d4f1c5095d7218cfb6bed10836">FP4_FP512BN_add</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *y, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *z)</td></tr>
<tr class="memdesc:a511999d4f1c5095d7218cfb6bed10836"><td class="mdescLeft">&#160;</td><td class="mdescRight">addition of two FP4s <a href="#a511999d4f1c5095d7218cfb6bed10836">More...</a><br /></td></tr>
<tr class="separator:a511999d4f1c5095d7218cfb6bed10836"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5e3502fed7ff972b79f2aaa4f279eda4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#a5e3502fed7ff972b79f2aaa4f279eda4">FP4_FP512BN_sub</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *y, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *z)</td></tr>
<tr class="memdesc:a5e3502fed7ff972b79f2aaa4f279eda4"><td class="mdescLeft">&#160;</td><td class="mdescRight">subtraction of two FP4s <a href="#a5e3502fed7ff972b79f2aaa4f279eda4">More...</a><br /></td></tr>
<tr class="separator:a5e3502fed7ff972b79f2aaa4f279eda4"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="separator:ae844274cce222eea5666b72fd437ed5e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac7559aca29c1eba4a1632f6540be328d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#ac7559aca29c1eba4a1632f6540be328d">FP4_FP512BN_qmul</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *y, <a class="el" href="structFP__FP512BN.html">FP_FP512BN</a> *a)</td></tr>
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<tr class="separator:a017e146ddde3dadaf352d0f76b1b6e5c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1c479aaca4c807bc3e9c23b21926a860"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#a1c479aaca4c807bc3e9c23b21926a860">FP4_FP512BN_inv</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *y)</td></tr>
<tr class="memdesc:a1c479aaca4c807bc3e9c23b21926a860"><td class="mdescLeft">&#160;</td><td class="mdescRight">Inverting an FP4. <a href="#a1c479aaca4c807bc3e9c23b21926a860">More...</a><br /></td></tr>
<tr class="separator:a1c479aaca4c807bc3e9c23b21926a860"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2425241a9aff02d1a9e482760dcd6e9a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#a2425241a9aff02d1a9e482760dcd6e9a">FP4_FP512BN_output</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x)</td></tr>
<tr class="memdesc:a2425241a9aff02d1a9e482760dcd6e9a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP4 to the console. <a href="#a2425241a9aff02d1a9e482760dcd6e9a">More...</a><br /></td></tr>
<tr class="separator:a2425241a9aff02d1a9e482760dcd6e9a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af2ff06306e5afa6c0980b65de0befef9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#af2ff06306e5afa6c0980b65de0befef9">FP4_FP512BN_rawoutput</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x)</td></tr>
<tr class="memdesc:af2ff06306e5afa6c0980b65de0befef9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an FP4 to the console in raw form (for debugging) <a href="#af2ff06306e5afa6c0980b65de0befef9">More...</a><br /></td></tr>
<tr class="separator:af2ff06306e5afa6c0980b65de0befef9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab64a6c0b8a22e61740dda8aa0b67a9bd"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#ab64a6c0b8a22e61740dda8aa0b67a9bd">FP4_FP512BN_times_i</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x)</td></tr>
<tr class="memdesc:ab64a6c0b8a22e61740dda8aa0b67a9bd"><td class="mdescLeft">&#160;</td><td class="mdescRight">multiplies an FP4 instance by irreducible polynomial sqrt(1+sqrt(-1)) <a href="#ab64a6c0b8a22e61740dda8aa0b67a9bd">More...</a><br /></td></tr>
<tr class="separator:ab64a6c0b8a22e61740dda8aa0b67a9bd"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2d988a02e4dd570e48936448e9634bab"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#a2d988a02e4dd570e48936448e9634bab">FP4_FP512BN_norm</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x)</td></tr>
<tr class="memdesc:a2d988a02e4dd570e48936448e9634bab"><td class="mdescLeft">&#160;</td><td class="mdescRight">Normalises the components of an FP4. <a href="#a2d988a02e4dd570e48936448e9634bab">More...</a><br /></td></tr>
<tr class="separator:a2d988a02e4dd570e48936448e9634bab"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a842271a8acfb88d76bd380f94f11ef28"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#a842271a8acfb88d76bd380f94f11ef28">FP4_FP512BN_reduce</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x)</td></tr>
<tr class="memdesc:a842271a8acfb88d76bd380f94f11ef28"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces all components of possibly unreduced FP4 mod Modulus. <a href="#a842271a8acfb88d76bd380f94f11ef28">More...</a><br /></td></tr>
<tr class="separator:a842271a8acfb88d76bd380f94f11ef28"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa58001e923ceffe6ce9ae7a9cd3fb706"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#aa58001e923ceffe6ce9ae7a9cd3fb706">FP4_FP512BN_pow</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *y, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> b)</td></tr>
<tr class="memdesc:aa58001e923ceffe6ce9ae7a9cd3fb706"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP4 to the power of a BIG. <a href="#aa58001e923ceffe6ce9ae7a9cd3fb706">More...</a><br /></td></tr>
<tr class="separator:aa58001e923ceffe6ce9ae7a9cd3fb706"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a72b63df60bb1fc00522373999f1708c2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#a72b63df60bb1fc00522373999f1708c2">FP4_FP512BN_frob</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x, <a class="el" href="structFP2__FP512BN.html">FP2_FP512BN</a> *f)</td></tr>
<tr class="memdesc:a72b63df60bb1fc00522373999f1708c2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an FP4 to the power of the internal modulus p, using the Frobenius. <a href="#a72b63df60bb1fc00522373999f1708c2">More...</a><br /></td></tr>
<tr class="separator:a72b63df60bb1fc00522373999f1708c2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae313d51df7f087720e248f7ed45cae58"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#ae313d51df7f087720e248f7ed45cae58">FP4_FP512BN_xtr_A</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *r, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *w, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *y, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *z)</td></tr>
<tr class="memdesc:ae313d51df7f087720e248f7ed45cae58"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the XTR addition function r=w*x-conj(x)*y+z. <a href="#ae313d51df7f087720e248f7ed45cae58">More...</a><br /></td></tr>
<tr class="separator:ae313d51df7f087720e248f7ed45cae58"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4d9e50f4df0e1c6df6b6f9db5cf2cd4f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#a4d9e50f4df0e1c6df6b6f9db5cf2cd4f">FP4_FP512BN_xtr_D</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *r, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x)</td></tr>
<tr class="memdesc:a4d9e50f4df0e1c6df6b6f9db5cf2cd4f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the XTR doubling function r=x^2-2*conj(x) <a href="#a4d9e50f4df0e1c6df6b6f9db5cf2cd4f">More...</a><br /></td></tr>
<tr class="separator:a4d9e50f4df0e1c6df6b6f9db5cf2cd4f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a78a205ce8e9aba387ca26c21a5e0f607"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#a78a205ce8e9aba387ca26c21a5e0f607">FP4_FP512BN_xtr_pow</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *r, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> b)</td></tr>
<tr class="memdesc:a78a205ce8e9aba387ca26c21a5e0f607"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates FP4 trace of an FP12 raised to the power of a BIG number. <a href="#a78a205ce8e9aba387ca26c21a5e0f607">More...</a><br /></td></tr>
<tr class="separator:a78a205ce8e9aba387ca26c21a5e0f607"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afb710c546a34d86968dd427806911893"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#afb710c546a34d86968dd427806911893">FP4_FP512BN_xtr_pow2</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *r, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *c, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *d, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *e, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *f, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> a, <a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a> b)</td></tr>
<tr class="memdesc:afb710c546a34d86968dd427806911893"><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="#afb710c546a34d86968dd427806911893">More...</a><br /></td></tr>
<tr class="separator:afb710c546a34d86968dd427806911893"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a17c85a954730bb105c835013feed9301"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#a17c85a954730bb105c835013feed9301">FP4_FP512BN_cmove</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *y, int s)</td></tr>
<tr class="memdesc:a17c85a954730bb105c835013feed9301"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional copy of FP4 number. <a href="#a17c85a954730bb105c835013feed9301">More...</a><br /></td></tr>
<tr class="separator:a17c85a954730bb105c835013feed9301"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8f27ea24f45e96d6cac00b68eff1b08f"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#a8f27ea24f45e96d6cac00b68eff1b08f">FP4_FP512BN_sqrt</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *r, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x)</td></tr>
<tr class="memdesc:a8f27ea24f45e96d6cac00b68eff1b08f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate square root of an FP4. <a href="#a8f27ea24f45e96d6cac00b68eff1b08f">More...</a><br /></td></tr>
<tr class="separator:a8f27ea24f45e96d6cac00b68eff1b08f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a130f53f1160218c4dfca4edb4be888dd"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#a130f53f1160218c4dfca4edb4be888dd">FP4_FP512BN_div_i</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x)</td></tr>
<tr class="memdesc:a130f53f1160218c4dfca4edb4be888dd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide FP4 number by QNR. <a href="#a130f53f1160218c4dfca4edb4be888dd">More...</a><br /></td></tr>
<tr class="separator:a130f53f1160218c4dfca4edb4be888dd"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a094efe0f530e6d824caea5e1175f71ff"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#a094efe0f530e6d824caea5e1175f71ff">FP4_FP512BN_div_2i</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x)</td></tr>
<tr class="memdesc:a094efe0f530e6d824caea5e1175f71ff"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP4 by QNR/2. <a href="#a094efe0f530e6d824caea5e1175f71ff">More...</a><br /></td></tr>
<tr class="separator:a094efe0f530e6d824caea5e1175f71ff"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afbd984d611446c470bb72f51576dc7ee"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__FP512BN_8h.html#afbd984d611446c470bb72f51576dc7ee">FP4_FP512BN_div2</a> (<a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *x, <a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</a> *y)</td></tr>
<tr class="memdesc:afbd984d611446c470bb72f51576dc7ee"><td class="mdescLeft">&#160;</td><td class="mdescRight">Divide an FP4 by 2. <a href="#afbd984d611446c470bb72f51576dc7ee">More...</a><br /></td></tr>
<tr class="separator:afbd984d611446c470bb72f51576dc7ee"><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="a511999d4f1c5095d7218cfb6bed10836"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a511999d4f1c5095d7218cfb6bed10836">&#9670;&nbsp;</a></span>FP4_FP512BN_add()</h2>
<div class="memitem">
<div class="memproto">
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<td class="memname">void FP4_FP512BN_add </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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="a17c85a954730bb105c835013feed9301"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a17c85a954730bb105c835013feed9301">&#9670;&nbsp;</a></span>FP4_FP512BN_cmove()</h2>
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<td class="memname">void FP4_FP512BN_cmove </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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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</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="a4f96e2e83333432e945cf0dd7c09d6df"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4f96e2e83333432e945cf0dd7c09d6df">&#9670;&nbsp;</a></span>FP4_FP512BN_conj()</h2>
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<td class="memname">void FP4_FP512BN_conj </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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="abd0b618186ec3ff610cdf4f3c0a0ecb0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abd0b618186ec3ff610cdf4f3c0a0ecb0">&#9670;&nbsp;</a></span>FP4_FP512BN_copy()</h2>
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<td class="memname">void FP4_FP512BN_copy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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</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="afbd984d611446c470bb72f51576dc7ee"></a>
<h2 class="memtitle"><span class="permalink"><a href="#afbd984d611446c470bb72f51576dc7ee">&#9670;&nbsp;</a></span>FP4_FP512BN_div2()</h2>
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<td class="memname">void FP4_FP512BN_div2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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="a094efe0f530e6d824caea5e1175f71ff"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a094efe0f530e6d824caea5e1175f71ff">&#9670;&nbsp;</a></span>FP4_FP512BN_div_2i()</h2>
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<td class="memname">void FP4_FP512BN_div_2i </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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="a130f53f1160218c4dfca4edb4be888dd"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a130f53f1160218c4dfca4edb4be888dd">&#9670;&nbsp;</a></span>FP4_FP512BN_div_i()</h2>
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<td class="memname">void FP4_FP512BN_div_i </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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="a1547e186db86b79552f24fa155328762"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1547e186db86b79552f24fa155328762">&#9670;&nbsp;</a></span>FP4_FP512BN_equals()</h2>
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<td class="memname">int FP4_FP512BN_equals </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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="a72b63df60bb1fc00522373999f1708c2"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a72b63df60bb1fc00522373999f1708c2">&#9670;&nbsp;</a></span>FP4_FP512BN_frob()</h2>
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<td class="memname">void FP4_FP512BN_frob </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP2_FP512BN</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="a11a400fdbceac7932ecc5d151dc4b268"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a11a400fdbceac7932ecc5d151dc4b268">&#9670;&nbsp;</a></span>FP4_FP512BN_from_FP2()</h2>
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<td class="memname">void FP4_FP512BN_from_FP2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP2_FP512BN</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="a4321901ba6571f18f0bc34ee6034cf6a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4321901ba6571f18f0bc34ee6034cf6a">&#9670;&nbsp;</a></span>FP4_FP512BN_from_FP2H()</h2>
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<td class="memname">void FP4_FP512BN_from_FP2H </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP2_FP512BN</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="a1ba45e3a45e44fc0d557eab693f8f0c1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1ba45e3a45e44fc0d557eab693f8f0c1">&#9670;&nbsp;</a></span>FP4_FP512BN_from_FP2s()</h2>
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<td class="memname">void FP4_FP512BN_from_FP2s </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP2_FP512BN</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__FP512BN.html">FP2_FP512BN</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="abfd09dcead65f65ec0c182dd04a12e5d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abfd09dcead65f65ec0c182dd04a12e5d">&#9670;&nbsp;</a></span>FP4_FP512BN_imul()</h2>
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<td class="memname">void FP4_FP512BN_imul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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="a1c479aaca4c807bc3e9c23b21926a860"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1c479aaca4c807bc3e9c23b21926a860">&#9670;&nbsp;</a></span>FP4_FP512BN_inv()</h2>
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<td class="memname">void FP4_FP512BN_inv </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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="a131f3d69c4f02a3fd77552800312a9b0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a131f3d69c4f02a3fd77552800312a9b0">&#9670;&nbsp;</a></span>FP4_FP512BN_isreal()</h2>
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<td class="memname">int FP4_FP512BN_isreal </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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="a6e7f8e53d4fd9b50d38e34406be704eb"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6e7f8e53d4fd9b50d38e34406be704eb">&#9670;&nbsp;</a></span>FP4_FP512BN_isunity()</h2>
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<td class="memname">int FP4_FP512BN_isunity </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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="a9bf6e54ebdf4cf77ce498c0e01315bb8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9bf6e54ebdf4cf77ce498c0e01315bb8">&#9670;&nbsp;</a></span>FP4_FP512BN_iszilch()</h2>
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<td class="memname">int FP4_FP512BN_iszilch </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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="a017e146ddde3dadaf352d0f76b1b6e5c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a017e146ddde3dadaf352d0f76b1b6e5c">&#9670;&nbsp;</a></span>FP4_FP512BN_mul()</h2>
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<td class="memname">void FP4_FP512BN_mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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="a8eb2d3331714b15dd853741bc5ed891b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8eb2d3331714b15dd853741bc5ed891b">&#9670;&nbsp;</a></span>FP4_FP512BN_nconj()</h2>
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<td class="memname">void FP4_FP512BN_nconj </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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="a668a798a3ef290d07c61a2476d512a7b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a668a798a3ef290d07c61a2476d512a7b">&#9670;&nbsp;</a></span>FP4_FP512BN_neg()</h2>
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<td class="memname">void FP4_FP512BN_neg </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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="a2d988a02e4dd570e48936448e9634bab"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2d988a02e4dd570e48936448e9634bab">&#9670;&nbsp;</a></span>FP4_FP512BN_norm()</h2>
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<td class="memname">void FP4_FP512BN_norm </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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="a6991205e8dc3ea3cf96232e418ebbe7e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6991205e8dc3ea3cf96232e418ebbe7e">&#9670;&nbsp;</a></span>FP4_FP512BN_one()</h2>
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<td class="memname">void FP4_FP512BN_one </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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="a2425241a9aff02d1a9e482760dcd6e9a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2425241a9aff02d1a9e482760dcd6e9a">&#9670;&nbsp;</a></span>FP4_FP512BN_output()</h2>
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<td class="memname">void FP4_FP512BN_output </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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="ae844274cce222eea5666b72fd437ed5e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae844274cce222eea5666b72fd437ed5e">&#9670;&nbsp;</a></span>FP4_FP512BN_pmul()</h2>
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<td class="memname">void FP4_FP512BN_pmul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP2_FP512BN</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="aa58001e923ceffe6ce9ae7a9cd3fb706"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa58001e923ceffe6ce9ae7a9cd3fb706">&#9670;&nbsp;</a></span>FP4_FP512BN_pow()</h2>
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<div class="memproto">
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<td class="memname">void FP4_FP512BN_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a>&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP4 instance, on exit = y^b </td></tr>
<tr><td class="paramname">y</td><td>FP4 instance </td></tr>
<tr><td class="paramname">b</td><td>BIG number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ac7559aca29c1eba4a1632f6540be328d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac7559aca29c1eba4a1632f6540be328d">&#9670;&nbsp;</a></span>FP4_FP512BN_qmul()</h2>
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<div class="memproto">
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<td class="memname">void FP4_FP512BN_qmul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP_FP512BN</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="af2ff06306e5afa6c0980b65de0befef9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af2ff06306e5afa6c0980b65de0befef9">&#9670;&nbsp;</a></span>FP4_FP512BN_rawoutput()</h2>
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<td class="memname">void FP4_FP512BN_rawoutput </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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="a842271a8acfb88d76bd380f94f11ef28"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a842271a8acfb88d76bd380f94f11ef28">&#9670;&nbsp;</a></span>FP4_FP512BN_reduce()</h2>
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<td class="memname">void FP4_FP512BN_reduce </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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="a7b0a9d8ff1697840b3ece1bdf228f5c9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7b0a9d8ff1697840b3ece1bdf228f5c9">&#9670;&nbsp;</a></span>FP4_FP512BN_sqr()</h2>
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<td class="memname">void FP4_FP512BN_sqr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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="a8f27ea24f45e96d6cac00b68eff1b08f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8f27ea24f45e96d6cac00b68eff1b08f">&#9670;&nbsp;</a></span>FP4_FP512BN_sqrt()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">int FP4_FP512BN_sqrt </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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="a5e3502fed7ff972b79f2aaa4f279eda4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5e3502fed7ff972b79f2aaa4f279eda4">&#9670;&nbsp;</a></span>FP4_FP512BN_sub()</h2>
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<td class="memname">void FP4_FP512BN_sub </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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="ab64a6c0b8a22e61740dda8aa0b67a9bd"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab64a6c0b8a22e61740dda8aa0b67a9bd">&#9670;&nbsp;</a></span>FP4_FP512BN_times_i()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_FP512BN_times_i </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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="ae313d51df7f087720e248f7ed45cae58"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae313d51df7f087720e248f7ed45cae58">&#9670;&nbsp;</a></span>FP4_FP512BN_xtr_A()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_FP512BN_xtr_A </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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="a4d9e50f4df0e1c6df6b6f9db5cf2cd4f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4d9e50f4df0e1c6df6b6f9db5cf2cd4f">&#9670;&nbsp;</a></span>FP4_FP512BN_xtr_D()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_FP512BN_xtr_D </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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="a78a205ce8e9aba387ca26c21a5e0f607"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a78a205ce8e9aba387ca26c21a5e0f607">&#9670;&nbsp;</a></span>FP4_FP512BN_xtr_pow()</h2>
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<div class="memproto">
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<td class="memname">void FP4_FP512BN_xtr_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a>&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>XTR single exponentiation </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>FP4 instance, on exit = trace(w^b) </td></tr>
<tr><td class="paramname">x</td><td>FP4 instance, trace of an FP12 w </td></tr>
<tr><td class="paramname">b</td><td>BIG number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="afb710c546a34d86968dd427806911893"></a>
<h2 class="memtitle"><span class="permalink"><a href="#afb710c546a34d86968dd427806911893">&#9670;&nbsp;</a></span>FP4_FP512BN_xtr_pow2()</h2>
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<div class="memproto">
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<tr>
<td class="memname">void FP4_FP512BN_xtr_pow2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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__FP512BN.html">FP4_FP512BN</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__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a>&#160;</td>
<td class="paramname"><em>a</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__512__60_8h.html#a38953b585df73ecbd30fded6cc5b54b7">BIG_512_60</a>&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>XTR double exponentiation Assumes c=tr(x^m), d=tr(x^n), e=tr(x^(m-n)), f=tr(x^(m-2n)) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>FP4 instance, on exit = trace(c^a.d^b) </td></tr>
<tr><td class="paramname">c</td><td>FP4 instance, trace of an FP12 </td></tr>
<tr><td class="paramname">d</td><td>FP4 instance, trace of an FP12 </td></tr>
<tr><td class="paramname">e</td><td>FP4 instance, trace of an FP12 </td></tr>
<tr><td class="paramname">f</td><td>FP4 instance, trace of an FP12 </td></tr>
<tr><td class="paramname">a</td><td>BIG number </td></tr>
<tr><td class="paramname">b</td><td>BIG number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a0f46b3f4f84ce7e0e9bf904d347cce67"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0f46b3f4f84ce7e0e9bf904d347cce67">&#9670;&nbsp;</a></span>FP4_FP512BN_zero()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void FP4_FP512BN_zero </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP4__FP512BN.html">FP4_FP512BN</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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