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<a href="#nested-classes">Data Structures</a> &#124;
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<div class="title">ecp_NUMS512E.h File Reference</div> </div>
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<p>ECP Header File.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &quot;<a class="el" href="fp__512PM_8h_source.html">fp_512PM.h</a>&quot;</code><br />
<code>#include &quot;config_curve_NUMS512E.h&quot;</code><br />
</div>
<p><a href="ecp__NUMS512E_8h_source.html">Go to the source code of this file.</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
Data Structures</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">ECP structure - Elliptic Curve Point over base field. <a href="structECP__NUMS512E.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:a4876018456620f094e4f1feabf4c2534"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a4876018456620f094e4f1feabf4c2534">ECP_NUMS512E_isinf</a> (<a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *P)</td></tr>
<tr class="memdesc:a4876018456620f094e4f1feabf4c2534"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for ECP point equal to infinity. <a href="#a4876018456620f094e4f1feabf4c2534">More...</a><br /></td></tr>
<tr class="separator:a4876018456620f094e4f1feabf4c2534"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aea4427a8718a0c09fa9285d5e95b2c16"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#aea4427a8718a0c09fa9285d5e95b2c16">ECP_NUMS512E_equals</a> (<a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *P, <a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *Q)</td></tr>
<tr class="memdesc:aea4427a8718a0c09fa9285d5e95b2c16"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for equality of two ECPs. <a href="#aea4427a8718a0c09fa9285d5e95b2c16">More...</a><br /></td></tr>
<tr class="separator:aea4427a8718a0c09fa9285d5e95b2c16"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af997484a76f394adc5e8adfe97852379"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#af997484a76f394adc5e8adfe97852379">ECP_NUMS512E_copy</a> (<a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *P, <a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *Q)</td></tr>
<tr class="memdesc:af997484a76f394adc5e8adfe97852379"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy ECP point to another ECP point. <a href="#af997484a76f394adc5e8adfe97852379">More...</a><br /></td></tr>
<tr class="separator:af997484a76f394adc5e8adfe97852379"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad506edc45240547953064ea5fe266528"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#ad506edc45240547953064ea5fe266528">ECP_NUMS512E_neg</a> (<a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *P)</td></tr>
<tr class="memdesc:ad506edc45240547953064ea5fe266528"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negation of an ECP point. <a href="#ad506edc45240547953064ea5fe266528">More...</a><br /></td></tr>
<tr class="separator:ad506edc45240547953064ea5fe266528"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0086ee723c5ddc882fe31753f61e7de8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a0086ee723c5ddc882fe31753f61e7de8">ECP_NUMS512E_inf</a> (<a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *P)</td></tr>
<tr class="memdesc:a0086ee723c5ddc882fe31753f61e7de8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set ECP to point-at-infinity. <a href="#a0086ee723c5ddc882fe31753f61e7de8">More...</a><br /></td></tr>
<tr class="separator:a0086ee723c5ddc882fe31753f61e7de8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9bd6819f6f9ab35f829a6c050503a1dc"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a9bd6819f6f9ab35f829a6c050503a1dc">ECP_NUMS512E_rhs</a> (<a class="el" href="structFP__512PM.html">FP_512PM</a> *r, <a class="el" href="structFP__512PM.html">FP_512PM</a> *x)</td></tr>
<tr class="memdesc:a9bd6819f6f9ab35f829a6c050503a1dc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate Right Hand Side of curve equation y^2=f(x) <a href="#a9bd6819f6f9ab35f829a6c050503a1dc">More...</a><br /></td></tr>
<tr class="separator:a9bd6819f6f9ab35f829a6c050503a1dc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8eb8ffdc55583c06ce0355b1b703f202"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a8eb8ffdc55583c06ce0355b1b703f202">ECP_NUMS512E_set</a> (<a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *P, <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> x, <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> y)</td></tr>
<tr class="memdesc:a8eb8ffdc55583c06ce0355b1b703f202"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set ECP to point(x,y) given x and y. <a href="#a8eb8ffdc55583c06ce0355b1b703f202">More...</a><br /></td></tr>
<tr class="separator:a8eb8ffdc55583c06ce0355b1b703f202"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa65b64217180ed43b96d1c2c17b90967"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#aa65b64217180ed43b96d1c2c17b90967">ECP_NUMS512E_get</a> (<a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> x, <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> y, <a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *P)</td></tr>
<tr class="memdesc:aa65b64217180ed43b96d1c2c17b90967"><td class="mdescLeft">&#160;</td><td class="mdescRight">Extract x and y coordinates of an ECP point P. <a href="#aa65b64217180ed43b96d1c2c17b90967">More...</a><br /></td></tr>
<tr class="separator:aa65b64217180ed43b96d1c2c17b90967"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac81cb20dbbbf15a3ad448a67349886dd"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#ac81cb20dbbbf15a3ad448a67349886dd">ECP_NUMS512E_add</a> (<a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *P, <a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *Q)</td></tr>
<tr class="memdesc:ac81cb20dbbbf15a3ad448a67349886dd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Adds ECP instance Q to ECP instance P. <a href="#ac81cb20dbbbf15a3ad448a67349886dd">More...</a><br /></td></tr>
<tr class="separator:ac81cb20dbbbf15a3ad448a67349886dd"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a270fe9ef1fd6f80c46197c7e758de802"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a270fe9ef1fd6f80c46197c7e758de802">ECP_NUMS512E_sub</a> (<a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *P, <a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *Q)</td></tr>
<tr class="memdesc:a270fe9ef1fd6f80c46197c7e758de802"><td class="mdescLeft">&#160;</td><td class="mdescRight">Subtracts ECP instance Q from ECP instance P. <a href="#a270fe9ef1fd6f80c46197c7e758de802">More...</a><br /></td></tr>
<tr class="separator:a270fe9ef1fd6f80c46197c7e758de802"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a33f84990d4031c93bdca07b4aa27082a"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a33f84990d4031c93bdca07b4aa27082a">ECP_NUMS512E_setx</a> (<a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *P, <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> x, int s)</td></tr>
<tr class="memdesc:a33f84990d4031c93bdca07b4aa27082a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set ECP to point(x,y) given just x and sign of y. <a href="#a33f84990d4031c93bdca07b4aa27082a">More...</a><br /></td></tr>
<tr class="separator:a33f84990d4031c93bdca07b4aa27082a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a81afb99a3d0120517b5c15f7334b45ed"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a81afb99a3d0120517b5c15f7334b45ed">ECP_NUMS512E_cfp</a> (<a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *Q)</td></tr>
<tr class="memdesc:a81afb99a3d0120517b5c15f7334b45ed"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplies Point by curve co-factor. <a href="#a81afb99a3d0120517b5c15f7334b45ed">More...</a><br /></td></tr>
<tr class="separator:a81afb99a3d0120517b5c15f7334b45ed"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0a7bd7ee4b94b157517a2c831faf5a5d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a0a7bd7ee4b94b157517a2c831faf5a5d">ECP_NUMS512E_mapit</a> (<a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *Q, <a class="el" href="structoctet.html">octet</a> *w)</td></tr>
<tr class="memdesc:a0a7bd7ee4b94b157517a2c831faf5a5d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Maps random BIG to curve point of correct order. <a href="#a0a7bd7ee4b94b157517a2c831faf5a5d">More...</a><br /></td></tr>
<tr class="separator:a0a7bd7ee4b94b157517a2c831faf5a5d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abc9668c98e293f40cfa6c47962acfc62"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#abc9668c98e293f40cfa6c47962acfc62">ECP_NUMS512E_affine</a> (<a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *P)</td></tr>
<tr class="memdesc:abc9668c98e293f40cfa6c47962acfc62"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts an ECP point from Projective (x,y,z) coordinates to affine (x,y) coordinates. <a href="#abc9668c98e293f40cfa6c47962acfc62">More...</a><br /></td></tr>
<tr class="separator:abc9668c98e293f40cfa6c47962acfc62"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aedcc2a3606e547d8899cd28496520f4b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#aedcc2a3606e547d8899cd28496520f4b">ECP_NUMS512E_outputxyz</a> (<a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *P)</td></tr>
<tr class="memdesc:aedcc2a3606e547d8899cd28496520f4b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an ECP point to the console, in projective coordinates. <a href="#aedcc2a3606e547d8899cd28496520f4b">More...</a><br /></td></tr>
<tr class="separator:aedcc2a3606e547d8899cd28496520f4b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a869945ea7799c8d9bc11f2b128423847"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a869945ea7799c8d9bc11f2b128423847">ECP_NUMS512E_output</a> (<a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *P)</td></tr>
<tr class="memdesc:a869945ea7799c8d9bc11f2b128423847"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an ECP point to the console, converted to affine coordinates. <a href="#a869945ea7799c8d9bc11f2b128423847">More...</a><br /></td></tr>
<tr class="separator:a869945ea7799c8d9bc11f2b128423847"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af06ce83875ae4a4878729d2e5c368299"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#af06ce83875ae4a4878729d2e5c368299">ECP_NUMS512E_rawoutput</a> (<a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *P)</td></tr>
<tr class="memdesc:af06ce83875ae4a4878729d2e5c368299"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an ECP point to the console. <a href="#af06ce83875ae4a4878729d2e5c368299">More...</a><br /></td></tr>
<tr class="separator:af06ce83875ae4a4878729d2e5c368299"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a54c24f7af820d9611290e9aae37c3fa8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a54c24f7af820d9611290e9aae37c3fa8">ECP_NUMS512E_toOctet</a> (<a class="el" href="structoctet.html">octet</a> *S, <a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *P, bool c)</td></tr>
<tr class="memdesc:a54c24f7af820d9611290e9aae37c3fa8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Formats and outputs an ECP point to an octet string The octet string is normally in the standard form 0x04|x|y Here x (and y) are the x and y coordinates in left justified big-endian base 256 form. For Montgomery curve it is 0x06|x If c is true, only the x coordinate is provided as in 0x2|x if y is even, or 0x3|x if y is odd. <a href="#a54c24f7af820d9611290e9aae37c3fa8">More...</a><br /></td></tr>
<tr class="separator:a54c24f7af820d9611290e9aae37c3fa8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5a97f48cf67487b6f170e8657d3689db"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a5a97f48cf67487b6f170e8657d3689db">ECP_NUMS512E_fromOctet</a> (<a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *P, <a class="el" href="structoctet.html">octet</a> *S)</td></tr>
<tr class="memdesc:a5a97f48cf67487b6f170e8657d3689db"><td class="mdescLeft">&#160;</td><td class="mdescRight">Creates an ECP point from an octet string. <a href="#a5a97f48cf67487b6f170e8657d3689db">More...</a><br /></td></tr>
<tr class="separator:a5a97f48cf67487b6f170e8657d3689db"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad0c5aa5aecec00ee2b46106397a53756"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#ad0c5aa5aecec00ee2b46106397a53756">ECP_NUMS512E_dbl</a> (<a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *P)</td></tr>
<tr class="memdesc:ad0c5aa5aecec00ee2b46106397a53756"><td class="mdescLeft">&#160;</td><td class="mdescRight">Doubles an ECP instance P. <a href="#ad0c5aa5aecec00ee2b46106397a53756">More...</a><br /></td></tr>
<tr class="separator:ad0c5aa5aecec00ee2b46106397a53756"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a24e266d008fc03bf6063bc32afbc89f5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a24e266d008fc03bf6063bc32afbc89f5">ECP_NUMS512E_pinmul</a> (<a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *P, int i, int b)</td></tr>
<tr class="memdesc:a24e266d008fc03bf6063bc32afbc89f5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplies an ECP instance P by a small integer, side-channel resistant. <a href="#a24e266d008fc03bf6063bc32afbc89f5">More...</a><br /></td></tr>
<tr class="separator:a24e266d008fc03bf6063bc32afbc89f5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7e277e75e7e7b0656722ccaca8984264"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a7e277e75e7e7b0656722ccaca8984264">ECP_NUMS512E_mul</a> (<a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *P, <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> b)</td></tr>
<tr class="memdesc:a7e277e75e7e7b0656722ccaca8984264"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplies an ECP instance P by a BIG, side-channel resistant. <a href="#a7e277e75e7e7b0656722ccaca8984264">More...</a><br /></td></tr>
<tr class="separator:a7e277e75e7e7b0656722ccaca8984264"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac22285b4f1a4a77ad92ad623a312f515"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#ac22285b4f1a4a77ad92ad623a312f515">ECP_NUMS512E_mul2</a> (<a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *P, <a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *Q, <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> e, <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> f)</td></tr>
<tr class="memdesc:ac22285b4f1a4a77ad92ad623a312f515"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates double multiplication P=e*P+f*Q, side-channel resistant. <a href="#ac22285b4f1a4a77ad92ad623a312f515">More...</a><br /></td></tr>
<tr class="separator:ac22285b4f1a4a77ad92ad623a312f515"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a83dbb55bbdbb7c453b5528bcc4b8f7af"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a83dbb55bbdbb7c453b5528bcc4b8f7af">ECP_NUMS512E_generator</a> (<a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *G)</td></tr>
<tr class="memdesc:a83dbb55bbdbb7c453b5528bcc4b8f7af"><td class="mdescLeft">&#160;</td><td class="mdescRight">Get Group Generator from ROM. <a href="#a83dbb55bbdbb7c453b5528bcc4b8f7af">More...</a><br /></td></tr>
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Variables</h2></td></tr>
<tr class="memitem:a9f48d5c8cd67dcd53ee16b10a94efd88"><td class="memItemLeft" align="right" valign="top">const int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a9f48d5c8cd67dcd53ee16b10a94efd88">CURVE_A_NUMS512E</a></td></tr>
<tr class="separator:a9f48d5c8cd67dcd53ee16b10a94efd88"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a872e6761f22e7cd65400f9b3524fd8cd"><td class="memItemLeft" align="right" valign="top">const int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a872e6761f22e7cd65400f9b3524fd8cd">CURVE_Cof_I_NUMS512E</a></td></tr>
<tr class="separator:a872e6761f22e7cd65400f9b3524fd8cd"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac147c23a93797b3df24d3b5ab23b3c0d"><td class="memItemLeft" align="right" valign="top">const int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#ac147c23a93797b3df24d3b5ab23b3c0d">CURVE_B_I_NUMS512E</a></td></tr>
<tr class="separator:ac147c23a93797b3df24d3b5ab23b3c0d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a30ec030f1f38e440662c295103578c26"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a30ec030f1f38e440662c295103578c26">CURVE_B_NUMS512E</a></td></tr>
<tr class="separator:a30ec030f1f38e440662c295103578c26"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a65c1e82c9e2775de7d12c3952ca3b06e"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a65c1e82c9e2775de7d12c3952ca3b06e">CURVE_Order_NUMS512E</a></td></tr>
<tr class="separator:a65c1e82c9e2775de7d12c3952ca3b06e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abffd849e5036d61fe8e011647078052e"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#abffd849e5036d61fe8e011647078052e">CURVE_Cof_NUMS512E</a></td></tr>
<tr class="separator:abffd849e5036d61fe8e011647078052e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af01a8e4ad7731b8456df18b1dcb74077"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#af01a8e4ad7731b8456df18b1dcb74077">CURVE_Gx_NUMS512E</a></td></tr>
<tr class="separator:af01a8e4ad7731b8456df18b1dcb74077"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a860a41fc96c39cee1b2cd4b6e47ce856"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a860a41fc96c39cee1b2cd4b6e47ce856">CURVE_Gy_NUMS512E</a></td></tr>
<tr class="separator:a860a41fc96c39cee1b2cd4b6e47ce856"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af30e8cb885fc1a6aa2f1f0f741fbfbbb"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#af30e8cb885fc1a6aa2f1f0f741fbfbbb">CURVE_Pxa_NUMS512E</a></td></tr>
<tr class="separator:af30e8cb885fc1a6aa2f1f0f741fbfbbb"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af784444a518e46e71b13e96c9f6596f9"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#af784444a518e46e71b13e96c9f6596f9">CURVE_Pxb_NUMS512E</a></td></tr>
<tr class="separator:af784444a518e46e71b13e96c9f6596f9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9dc1b3509c7c806f650a7727cc7cee49"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a9dc1b3509c7c806f650a7727cc7cee49">CURVE_Pya_NUMS512E</a></td></tr>
<tr class="separator:a9dc1b3509c7c806f650a7727cc7cee49"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0a146c811ffc97c336772dcdc9ab0470"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a0a146c811ffc97c336772dcdc9ab0470">CURVE_Pyb_NUMS512E</a></td></tr>
<tr class="separator:a0a146c811ffc97c336772dcdc9ab0470"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a075d40e6332f3fb65f0e283a4ac5f058"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a075d40e6332f3fb65f0e283a4ac5f058">CURVE_Pxaa_NUMS512E</a></td></tr>
<tr class="separator:a075d40e6332f3fb65f0e283a4ac5f058"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aafb6df45002994c5b1f4997a6530b23f"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#aafb6df45002994c5b1f4997a6530b23f">CURVE_Pxab_NUMS512E</a></td></tr>
<tr class="separator:aafb6df45002994c5b1f4997a6530b23f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a29837701a5dc3b76195fb168f5ced6ae"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a29837701a5dc3b76195fb168f5ced6ae">CURVE_Pxba_NUMS512E</a></td></tr>
<tr class="separator:a29837701a5dc3b76195fb168f5ced6ae"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9bb279e2ce7dcd1084e93e2eb812aea3"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a9bb279e2ce7dcd1084e93e2eb812aea3">CURVE_Pxbb_NUMS512E</a></td></tr>
<tr class="separator:a9bb279e2ce7dcd1084e93e2eb812aea3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a105361282e8eb8657fa801ec24f4426a"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a105361282e8eb8657fa801ec24f4426a">CURVE_Pyaa_NUMS512E</a></td></tr>
<tr class="separator:a105361282e8eb8657fa801ec24f4426a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a59a47955d426d08ff89f08f7c73ec7a6"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a59a47955d426d08ff89f08f7c73ec7a6">CURVE_Pyab_NUMS512E</a></td></tr>
<tr class="separator:a59a47955d426d08ff89f08f7c73ec7a6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:adcd12acd9d65cb9b3acf5f18c403df75"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#adcd12acd9d65cb9b3acf5f18c403df75">CURVE_Pyba_NUMS512E</a></td></tr>
<tr class="separator:adcd12acd9d65cb9b3acf5f18c403df75"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac9877cc6f1cbb4ac378a28139f99408c"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#ac9877cc6f1cbb4ac378a28139f99408c">CURVE_Pybb_NUMS512E</a></td></tr>
<tr class="separator:ac9877cc6f1cbb4ac378a28139f99408c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae0ccb140acbb2478fc4263eec8c15e44"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#ae0ccb140acbb2478fc4263eec8c15e44">CURVE_Pxaaa_NUMS512E</a></td></tr>
<tr class="separator:ae0ccb140acbb2478fc4263eec8c15e44"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a74a18bc493dd42272c9be5460d2f1c43"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a74a18bc493dd42272c9be5460d2f1c43">CURVE_Pxaab_NUMS512E</a></td></tr>
<tr class="separator:a74a18bc493dd42272c9be5460d2f1c43"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a269cb6eb1a34d41c30edc5ae1cec992b"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a269cb6eb1a34d41c30edc5ae1cec992b">CURVE_Pxaba_NUMS512E</a></td></tr>
<tr class="separator:a269cb6eb1a34d41c30edc5ae1cec992b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1ff73d8d27394f41495baf45c6fc505e"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a1ff73d8d27394f41495baf45c6fc505e">CURVE_Pxabb_NUMS512E</a></td></tr>
<tr class="separator:a1ff73d8d27394f41495baf45c6fc505e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a69c8d3a6a81f8a6c438160053afefaea"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a69c8d3a6a81f8a6c438160053afefaea">CURVE_Pxbaa_NUMS512E</a></td></tr>
<tr class="separator:a69c8d3a6a81f8a6c438160053afefaea"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac3fff80c07787df7b891e3cccb0a3c41"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#ac3fff80c07787df7b891e3cccb0a3c41">CURVE_Pxbab_NUMS512E</a></td></tr>
<tr class="separator:ac3fff80c07787df7b891e3cccb0a3c41"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2386e74f10149272970c0bd48f282164"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a2386e74f10149272970c0bd48f282164">CURVE_Pxbba_NUMS512E</a></td></tr>
<tr class="separator:a2386e74f10149272970c0bd48f282164"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aed1d7278147c45dc7423998da5083520"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#aed1d7278147c45dc7423998da5083520">CURVE_Pxbbb_NUMS512E</a></td></tr>
<tr class="separator:aed1d7278147c45dc7423998da5083520"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af02884ed00041f61295e6d6a29aa1e7f"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#af02884ed00041f61295e6d6a29aa1e7f">CURVE_Pyaaa_NUMS512E</a></td></tr>
<tr class="separator:af02884ed00041f61295e6d6a29aa1e7f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3de453790f2f265b594a3fcd19beb535"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a3de453790f2f265b594a3fcd19beb535">CURVE_Pyaab_NUMS512E</a></td></tr>
<tr class="separator:a3de453790f2f265b594a3fcd19beb535"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac09708df800ec18d3c1da7c2ef6d0d14"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#ac09708df800ec18d3c1da7c2ef6d0d14">CURVE_Pyaba_NUMS512E</a></td></tr>
<tr class="separator:ac09708df800ec18d3c1da7c2ef6d0d14"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4cc72c0afa506aa468a46e308aaa2ee8"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a4cc72c0afa506aa468a46e308aaa2ee8">CURVE_Pyabb_NUMS512E</a></td></tr>
<tr class="separator:a4cc72c0afa506aa468a46e308aaa2ee8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6f995e786c21ccb469c27e9656f54a51"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a6f995e786c21ccb469c27e9656f54a51">CURVE_Pybaa_NUMS512E</a></td></tr>
<tr class="separator:a6f995e786c21ccb469c27e9656f54a51"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1e8f97c3e075a113a7ecdbbfbe5349da"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a1e8f97c3e075a113a7ecdbbfbe5349da">CURVE_Pybab_NUMS512E</a></td></tr>
<tr class="separator:a1e8f97c3e075a113a7ecdbbfbe5349da"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a61a98b9f7c4e1c15395eaad2fad0f2a8"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a61a98b9f7c4e1c15395eaad2fad0f2a8">CURVE_Pybba_NUMS512E</a></td></tr>
<tr class="separator:a61a98b9f7c4e1c15395eaad2fad0f2a8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a29f19f09ef93d408f9974eeb9bd9d4ae"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a29f19f09ef93d408f9974eeb9bd9d4ae">CURVE_Pybbb_NUMS512E</a></td></tr>
<tr class="separator:a29f19f09ef93d408f9974eeb9bd9d4ae"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abf2a498cbc68568f31faac4e87d8af6d"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#abf2a498cbc68568f31faac4e87d8af6d">CURVE_Bnx_NUMS512E</a></td></tr>
<tr class="separator:abf2a498cbc68568f31faac4e87d8af6d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7896d3fe2d15b6b014e23a60dabe8fc5"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a7896d3fe2d15b6b014e23a60dabe8fc5">CURVE_Cru_NUMS512E</a></td></tr>
<tr class="separator:a7896d3fe2d15b6b014e23a60dabe8fc5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad6f2370cc46044dc5544155fb45064a3"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#ad6f2370cc46044dc5544155fb45064a3">Fra_512PM</a></td></tr>
<tr class="separator:ad6f2370cc46044dc5544155fb45064a3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8dd44f2b459f2dfd940c9fc64d6faf40"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a8dd44f2b459f2dfd940c9fc64d6faf40">Frb_512PM</a></td></tr>
<tr class="separator:a8dd44f2b459f2dfd940c9fc64d6faf40"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0f7cf23ebde2f30e1f46c67bb4184872"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a0f7cf23ebde2f30e1f46c67bb4184872">CURVE_W_NUMS512E</a> [2]</td></tr>
<tr class="separator:a0f7cf23ebde2f30e1f46c67bb4184872"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0014cc70de27d01cc7e18b8eff250f43"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a0014cc70de27d01cc7e18b8eff250f43">CURVE_SB_NUMS512E</a> [2][2]</td></tr>
<tr class="separator:a0014cc70de27d01cc7e18b8eff250f43"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:adaf10c3bfb5e3982350b61904b967486"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#adaf10c3bfb5e3982350b61904b967486">CURVE_WB_NUMS512E</a> [4]</td></tr>
<tr class="separator:adaf10c3bfb5e3982350b61904b967486"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a31bac1570d95a28de4faded9f5b42537"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecp__NUMS512E_8h.html#a31bac1570d95a28de4faded9f5b42537">CURVE_BB_NUMS512E</a> [4][4]</td></tr>
<tr class="separator:a31bac1570d95a28de4faded9f5b42537"><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="ac81cb20dbbbf15a3ad448a67349886dd"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac81cb20dbbbf15a3ad448a67349886dd">&#9670;&nbsp;</a></span>ECP_NUMS512E_add()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void ECP_NUMS512E_add </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>P</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>Q</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">P</td><td>ECP instance, on exit =P+Q </td></tr>
<tr><td class="paramname">Q</td><td>ECP instance to be added to P </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="abc9668c98e293f40cfa6c47962acfc62"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abc9668c98e293f40cfa6c47962acfc62">&#9670;&nbsp;</a></span>ECP_NUMS512E_affine()</h2>
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<div class="memproto">
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<td class="memname">void ECP_NUMS512E_affine </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>P</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">P</td><td>ECP instance to be converted to affine form </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a81afb99a3d0120517b5c15f7334b45ed"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a81afb99a3d0120517b5c15f7334b45ed">&#9670;&nbsp;</a></span>ECP_NUMS512E_cfp()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void ECP_NUMS512E_cfp </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>Q</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">Q</td><td>ECP instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="af997484a76f394adc5e8adfe97852379"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af997484a76f394adc5e8adfe97852379">&#9670;&nbsp;</a></span>ECP_NUMS512E_copy()</h2>
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<div class="memproto">
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<td class="memname">void ECP_NUMS512E_copy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>P</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>Q</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">P</td><td>ECP instance, on exit = Q </td></tr>
<tr><td class="paramname">Q</td><td>ECP instance to be copied </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ad0c5aa5aecec00ee2b46106397a53756"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad0c5aa5aecec00ee2b46106397a53756">&#9670;&nbsp;</a></span>ECP_NUMS512E_dbl()</h2>
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<div class="memproto">
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<td class="memname">void ECP_NUMS512E_dbl </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>P</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">P</td><td>ECP instance, on exit =2*P </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="aea4427a8718a0c09fa9285d5e95b2c16"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aea4427a8718a0c09fa9285d5e95b2c16">&#9670;&nbsp;</a></span>ECP_NUMS512E_equals()</h2>
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<td class="memname">int ECP_NUMS512E_equals </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>P</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>Q</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">P</td><td>ECP instance to be compared </td></tr>
<tr><td class="paramname">Q</td><td>ECP instance to be compared </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 if P=Q, else returns 0 </dd></dl>
</div>
</div>
<a id="a5a97f48cf67487b6f170e8657d3689db"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5a97f48cf67487b6f170e8657d3689db">&#9670;&nbsp;</a></span>ECP_NUMS512E_fromOctet()</h2>
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<td class="memname">int ECP_NUMS512E_fromOctet </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>P</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>S</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>The octet string is normally in the standard form 0x04|x|y Here x (and y) are the x and y coordinates in left justified big-endian base 256 form. For Montgomery curve it is 0x06|x If in compressed form only the x coordinate is provided as in 0x2|x if y is even, or 0x3|x if y is odd </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">P</td><td>ECP instance to be created from the octet string </td></tr>
<tr><td class="paramname">S</td><td>input octet string return 1 if octet string corresponds to a point on the curve, else 0 </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a83dbb55bbdbb7c453b5528bcc4b8f7af"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a83dbb55bbdbb7c453b5528bcc4b8f7af">&#9670;&nbsp;</a></span>ECP_NUMS512E_generator()</h2>
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<td class="memname">void ECP_NUMS512E_generator </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>G</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">G</td><td>ECP instance </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="aa65b64217180ed43b96d1c2c17b90967"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa65b64217180ed43b96d1c2c17b90967">&#9670;&nbsp;</a></span>ECP_NUMS512E_get()</h2>
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<td class="memname">int ECP_NUMS512E_get </td>
<td>(</td>
<td class="paramtype"><a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</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__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</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="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>P</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>If x=y, returns only x </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>BIG on exit = x coordinate of point </td></tr>
<tr><td class="paramname">y</td><td>BIG on exit = y coordinate of point (unless x=y) </td></tr>
<tr><td class="paramname">P</td><td>ECP instance (x,y) </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>sign of y, or -1 if P is point-at-infinity </dd></dl>
</div>
</div>
<a id="a0086ee723c5ddc882fe31753f61e7de8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0086ee723c5ddc882fe31753f61e7de8">&#9670;&nbsp;</a></span>ECP_NUMS512E_inf()</h2>
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<td class="memname">void ECP_NUMS512E_inf </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>P</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">P</td><td>ECP instance to be set to infinity </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a4876018456620f094e4f1feabf4c2534"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4876018456620f094e4f1feabf4c2534">&#9670;&nbsp;</a></span>ECP_NUMS512E_isinf()</h2>
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<div class="memproto">
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<td class="memname">int ECP_NUMS512E_isinf </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>P</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">P</td><td>ECP point to be tested </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 if infinity, else returns 0 </dd></dl>
</div>
</div>
<a id="a0a7bd7ee4b94b157517a2c831faf5a5d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0a7bd7ee4b94b157517a2c831faf5a5d">&#9670;&nbsp;</a></span>ECP_NUMS512E_mapit()</h2>
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<td class="memname">void ECP_NUMS512E_mapit </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>Q</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>w</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">Q</td><td>ECP instance of correct order </td></tr>
<tr><td class="paramname">w</td><td>OCTET byte array to be mapped </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a7e277e75e7e7b0656722ccaca8984264"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7e277e75e7e7b0656722ccaca8984264">&#9670;&nbsp;</a></span>ECP_NUMS512E_mul()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void ECP_NUMS512E_mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>P</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_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>Uses Montgomery ladder for Montgomery curves, otherwise fixed sized windows. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">P</td><td>ECP instance, on exit =b*P </td></tr>
<tr><td class="paramname">b</td><td>BIG number multiplier </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ac22285b4f1a4a77ad92ad623a312f515"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac22285b4f1a4a77ad92ad623a312f515">&#9670;&nbsp;</a></span>ECP_NUMS512E_mul2()</h2>
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<div class="memproto">
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<td class="memname">void ECP_NUMS512E_mul2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>P</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>Q</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</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="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</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">P</td><td>ECP instance, on exit =e*P+f*Q </td></tr>
<tr><td class="paramname">Q</td><td>ECP instance </td></tr>
<tr><td class="paramname">e</td><td>BIG number multiplier </td></tr>
<tr><td class="paramname">f</td><td>BIG number multiplier </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ad506edc45240547953064ea5fe266528"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad506edc45240547953064ea5fe266528">&#9670;&nbsp;</a></span>ECP_NUMS512E_neg()</h2>
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<td class="memname">void ECP_NUMS512E_neg </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>P</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">P</td><td>ECP instance, on exit = -P </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a869945ea7799c8d9bc11f2b128423847"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a869945ea7799c8d9bc11f2b128423847">&#9670;&nbsp;</a></span>ECP_NUMS512E_output()</h2>
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<div class="memproto">
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<td class="memname">void ECP_NUMS512E_output </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>P</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">P</td><td>ECP instance to be printed </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="aedcc2a3606e547d8899cd28496520f4b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aedcc2a3606e547d8899cd28496520f4b">&#9670;&nbsp;</a></span>ECP_NUMS512E_outputxyz()</h2>
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<td class="memname">void ECP_NUMS512E_outputxyz </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>P</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">P</td><td>ECP instance to be printed </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a24e266d008fc03bf6063bc32afbc89f5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a24e266d008fc03bf6063bc32afbc89f5">&#9670;&nbsp;</a></span>ECP_NUMS512E_pinmul()</h2>
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<td class="memname">void ECP_NUMS512E_pinmul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>P</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>i</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#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">P</td><td>ECP instance, on exit =i*P </td></tr>
<tr><td class="paramname">i</td><td>small integer multiplier </td></tr>
<tr><td class="paramname">b</td><td>maximum number of bits in multiplier </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="af06ce83875ae4a4878729d2e5c368299"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af06ce83875ae4a4878729d2e5c368299">&#9670;&nbsp;</a></span>ECP_NUMS512E_rawoutput()</h2>
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<td class="memname">void ECP_NUMS512E_rawoutput </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>P</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">P</td><td>ECP instance to be printed </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a9bd6819f6f9ab35f829a6c050503a1dc"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9bd6819f6f9ab35f829a6c050503a1dc">&#9670;&nbsp;</a></span>ECP_NUMS512E_rhs()</h2>
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<td class="memname">void ECP_NUMS512E_rhs </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__512PM.html">FP_512PM</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="structFP__512PM.html">FP_512PM</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>Function f(x) depends on form of elliptic curve, Weierstrass, Edwards or Montgomery. Used internally. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>BIG n-residue value of f(x) </td></tr>
<tr><td class="paramname">x</td><td>BIG n-residue x </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a8eb8ffdc55583c06ce0355b1b703f202"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8eb8ffdc55583c06ce0355b1b703f202">&#9670;&nbsp;</a></span>ECP_NUMS512E_set()</h2>
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<td class="memname">int ECP_NUMS512E_set </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>P</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</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__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</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>Point P set to infinity if no such point on the curve. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">P</td><td>ECP instance to be set (x,y) </td></tr>
<tr><td class="paramname">x</td><td>BIG x coordinate of point </td></tr>
<tr><td class="paramname">y</td><td>BIG y coordinate of point </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 if point exists, else 0 </dd></dl>
</div>
</div>
<a id="a33f84990d4031c93bdca07b4aa27082a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a33f84990d4031c93bdca07b4aa27082a">&#9670;&nbsp;</a></span>ECP_NUMS512E_setx()</h2>
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<td class="memname">int ECP_NUMS512E_setx </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>P</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a>&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>s</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Point P set to infinity if no such point on the curve. If x is on the curve then y is calculated from the curve equation. The correct y value (plus or minus) is selected given its sign s. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">P</td><td>ECP instance to be set (x,[y]) </td></tr>
<tr><td class="paramname">x</td><td>BIG x coordinate of point </td></tr>
<tr><td class="paramname">s</td><td>an integer representing the "sign" of y, in fact its least significant bit. </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a270fe9ef1fd6f80c46197c7e758de802"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a270fe9ef1fd6f80c46197c7e758de802">&#9670;&nbsp;</a></span>ECP_NUMS512E_sub()</h2>
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<td class="memname">void ECP_NUMS512E_sub </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>P</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>Q</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">P</td><td>ECP instance, on exit =P-Q </td></tr>
<tr><td class="paramname">Q</td><td>ECP instance to be subtracted from P </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a54c24f7af820d9611290e9aae37c3fa8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a54c24f7af820d9611290e9aae37c3fa8">&#9670;&nbsp;</a></span>ECP_NUMS512E_toOctet()</h2>
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<td class="memname">void ECP_NUMS512E_toOctet </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>S</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structECP__NUMS512E.html">ECP_NUMS512E</a> *&#160;</td>
<td class="paramname"><em>P</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">bool&#160;</td>
<td class="paramname"><em>c</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">c</td><td>compression required, true or false </td></tr>
<tr><td class="paramname">S</td><td>output octet string </td></tr>
<tr><td class="paramname">P</td><td>ECP instance to be converted to an octet string </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<h2 class="groupheader">Variable Documentation</h2>
<a id="a9f48d5c8cd67dcd53ee16b10a94efd88"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9f48d5c8cd67dcd53ee16b10a94efd88">&#9670;&nbsp;</a></span>CURVE_A_NUMS512E</h2>
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<td class="memname">const int CURVE_A_NUMS512E</td>
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<p>Elliptic curve A parameter </p>
</div>
</div>
<a id="ac147c23a93797b3df24d3b5ab23b3c0d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac147c23a93797b3df24d3b5ab23b3c0d">&#9670;&nbsp;</a></span>CURVE_B_I_NUMS512E</h2>
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<td class="memname">const int CURVE_B_I_NUMS512E</td>
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</table>
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<p>Elliptic curve B_i parameter </p>
</div>
</div>
<a id="a30ec030f1f38e440662c295103578c26"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a30ec030f1f38e440662c295103578c26">&#9670;&nbsp;</a></span>CURVE_B_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_B_NUMS512E</td>
</tr>
</table>
</div><div class="memdoc">
<p>Elliptic curve B parameter </p>
</div>
</div>
<a id="a31bac1570d95a28de4faded9f5b42537"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a31bac1570d95a28de4faded9f5b42537">&#9670;&nbsp;</a></span>CURVE_BB_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_BB_NUMS512E[4][4]</td>
</tr>
</table>
</div><div class="memdoc">
<p>BN curve constant for GS decomposition </p>
</div>
</div>
<a id="abf2a498cbc68568f31faac4e87d8af6d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abf2a498cbc68568f31faac4e87d8af6d">&#9670;&nbsp;</a></span>CURVE_Bnx_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Bnx_NUMS512E</td>
</tr>
</table>
</div><div class="memdoc">
<p>BN curve x parameter </p>
</div>
</div>
<a id="a872e6761f22e7cd65400f9b3524fd8cd"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a872e6761f22e7cd65400f9b3524fd8cd">&#9670;&nbsp;</a></span>CURVE_Cof_I_NUMS512E</h2>
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<td class="memname">const int CURVE_Cof_I_NUMS512E</td>
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</table>
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<p>Elliptic curve cofactor </p>
</div>
</div>
<a id="abffd849e5036d61fe8e011647078052e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abffd849e5036d61fe8e011647078052e">&#9670;&nbsp;</a></span>CURVE_Cof_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Cof_NUMS512E</td>
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</table>
</div><div class="memdoc">
<p>Elliptic curve cofactor </p>
</div>
</div>
<a id="a7896d3fe2d15b6b014e23a60dabe8fc5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7896d3fe2d15b6b014e23a60dabe8fc5">&#9670;&nbsp;</a></span>CURVE_Cru_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Cru_NUMS512E</td>
</tr>
</table>
</div><div class="memdoc">
<p>BN curve Cube Root of Unity </p>
</div>
</div>
<a id="af01a8e4ad7731b8456df18b1dcb74077"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af01a8e4ad7731b8456df18b1dcb74077">&#9670;&nbsp;</a></span>CURVE_Gx_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Gx_NUMS512E</td>
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<p>x-coordinate of generator point in group G1 </p>
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<a id="a860a41fc96c39cee1b2cd4b6e47ce856"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a860a41fc96c39cee1b2cd4b6e47ce856">&#9670;&nbsp;</a></span>CURVE_Gy_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Gy_NUMS512E</td>
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<p>y-coordinate of generator point in group G1 </p>
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<a id="a65c1e82c9e2775de7d12c3952ca3b06e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a65c1e82c9e2775de7d12c3952ca3b06e">&#9670;&nbsp;</a></span>CURVE_Order_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Order_NUMS512E</td>
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</div><div class="memdoc">
<p>Elliptic curve group order </p>
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<a id="af30e8cb885fc1a6aa2f1f0f741fbfbbb"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af30e8cb885fc1a6aa2f1f0f741fbfbbb">&#9670;&nbsp;</a></span>CURVE_Pxa_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pxa_NUMS512E</td>
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</table>
</div><div class="memdoc">
<p>real part of x-coordinate of generator point in group G2 </p>
</div>
</div>
<a id="a075d40e6332f3fb65f0e283a4ac5f058"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a075d40e6332f3fb65f0e283a4ac5f058">&#9670;&nbsp;</a></span>CURVE_Pxaa_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pxaa_NUMS512E</td>
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</div><div class="memdoc">
<p>real part of x-coordinate of generator point in group G2 </p>
</div>
</div>
<a id="ae0ccb140acbb2478fc4263eec8c15e44"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae0ccb140acbb2478fc4263eec8c15e44">&#9670;&nbsp;</a></span>CURVE_Pxaaa_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pxaaa_NUMS512E</td>
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</table>
</div><div class="memdoc">
<p>real part of x-coordinate of generator point in group G2 </p>
</div>
</div>
<a id="a74a18bc493dd42272c9be5460d2f1c43"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a74a18bc493dd42272c9be5460d2f1c43">&#9670;&nbsp;</a></span>CURVE_Pxaab_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pxaab_NUMS512E</td>
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</table>
</div><div class="memdoc">
<p>imaginary part of x-coordinate of generator point in group G2 </p>
</div>
</div>
<a id="aafb6df45002994c5b1f4997a6530b23f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aafb6df45002994c5b1f4997a6530b23f">&#9670;&nbsp;</a></span>CURVE_Pxab_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pxab_NUMS512E</td>
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</table>
</div><div class="memdoc">
<p>imaginary part of x-coordinate of generator point in group G2 </p>
</div>
</div>
<a id="a269cb6eb1a34d41c30edc5ae1cec992b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a269cb6eb1a34d41c30edc5ae1cec992b">&#9670;&nbsp;</a></span>CURVE_Pxaba_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pxaba_NUMS512E</td>
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</table>
</div><div class="memdoc">
<p>real part of x-coordinate of generator point in group G2 </p>
</div>
</div>
<a id="a1ff73d8d27394f41495baf45c6fc505e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1ff73d8d27394f41495baf45c6fc505e">&#9670;&nbsp;</a></span>CURVE_Pxabb_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pxabb_NUMS512E</td>
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</table>
</div><div class="memdoc">
<p>imaginary part of x-coordinate of generator point in group G2 </p>
</div>
</div>
<a id="af784444a518e46e71b13e96c9f6596f9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af784444a518e46e71b13e96c9f6596f9">&#9670;&nbsp;</a></span>CURVE_Pxb_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pxb_NUMS512E</td>
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</table>
</div><div class="memdoc">
<p>imaginary part of x-coordinate of generator point in group G2 </p>
</div>
</div>
<a id="a29837701a5dc3b76195fb168f5ced6ae"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a29837701a5dc3b76195fb168f5ced6ae">&#9670;&nbsp;</a></span>CURVE_Pxba_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pxba_NUMS512E</td>
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</table>
</div><div class="memdoc">
<p>real part of x-coordinate of generator point in group G2 </p>
</div>
</div>
<a id="a69c8d3a6a81f8a6c438160053afefaea"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a69c8d3a6a81f8a6c438160053afefaea">&#9670;&nbsp;</a></span>CURVE_Pxbaa_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pxbaa_NUMS512E</td>
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</table>
</div><div class="memdoc">
<p>real part of x-coordinate of generator point in group G2 </p>
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</div>
<a id="ac3fff80c07787df7b891e3cccb0a3c41"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac3fff80c07787df7b891e3cccb0a3c41">&#9670;&nbsp;</a></span>CURVE_Pxbab_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pxbab_NUMS512E</td>
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</table>
</div><div class="memdoc">
<p>imaginary part of x-coordinate of generator point in group G2 </p>
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</div>
<a id="a9bb279e2ce7dcd1084e93e2eb812aea3"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9bb279e2ce7dcd1084e93e2eb812aea3">&#9670;&nbsp;</a></span>CURVE_Pxbb_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pxbb_NUMS512E</td>
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</table>
</div><div class="memdoc">
<p>imaginary part of x-coordinate of generator point in group G2 </p>
</div>
</div>
<a id="a2386e74f10149272970c0bd48f282164"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2386e74f10149272970c0bd48f282164">&#9670;&nbsp;</a></span>CURVE_Pxbba_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pxbba_NUMS512E</td>
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</table>
</div><div class="memdoc">
<p>real part of x-coordinate of generator point in group G2 </p>
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</div>
<a id="aed1d7278147c45dc7423998da5083520"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aed1d7278147c45dc7423998da5083520">&#9670;&nbsp;</a></span>CURVE_Pxbbb_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pxbbb_NUMS512E</td>
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</table>
</div><div class="memdoc">
<p>imaginary part of x-coordinate of generator point in group G2 </p>
</div>
</div>
<a id="a9dc1b3509c7c806f650a7727cc7cee49"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9dc1b3509c7c806f650a7727cc7cee49">&#9670;&nbsp;</a></span>CURVE_Pya_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pya_NUMS512E</td>
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</table>
</div><div class="memdoc">
<p>real part of y-coordinate of generator point in group G2 </p>
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</div>
<a id="a105361282e8eb8657fa801ec24f4426a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a105361282e8eb8657fa801ec24f4426a">&#9670;&nbsp;</a></span>CURVE_Pyaa_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pyaa_NUMS512E</td>
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</table>
</div><div class="memdoc">
<p>real part of y-coordinate of generator point in group G2 </p>
</div>
</div>
<a id="af02884ed00041f61295e6d6a29aa1e7f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af02884ed00041f61295e6d6a29aa1e7f">&#9670;&nbsp;</a></span>CURVE_Pyaaa_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pyaaa_NUMS512E</td>
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</table>
</div><div class="memdoc">
<p>real part of y-coordinate of generator point in group G2 </p>
</div>
</div>
<a id="a3de453790f2f265b594a3fcd19beb535"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3de453790f2f265b594a3fcd19beb535">&#9670;&nbsp;</a></span>CURVE_Pyaab_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pyaab_NUMS512E</td>
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</table>
</div><div class="memdoc">
<p>imaginary part of y-coordinate of generator point in group G2 </p>
</div>
</div>
<a id="a59a47955d426d08ff89f08f7c73ec7a6"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a59a47955d426d08ff89f08f7c73ec7a6">&#9670;&nbsp;</a></span>CURVE_Pyab_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pyab_NUMS512E</td>
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</table>
</div><div class="memdoc">
<p>imaginary part of y-coordinate of generator point in group G2 </p>
</div>
</div>
<a id="ac09708df800ec18d3c1da7c2ef6d0d14"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac09708df800ec18d3c1da7c2ef6d0d14">&#9670;&nbsp;</a></span>CURVE_Pyaba_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pyaba_NUMS512E</td>
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</table>
</div><div class="memdoc">
<p>real part of y-coordinate of generator point in group G2 </p>
</div>
</div>
<a id="a4cc72c0afa506aa468a46e308aaa2ee8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4cc72c0afa506aa468a46e308aaa2ee8">&#9670;&nbsp;</a></span>CURVE_Pyabb_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pyabb_NUMS512E</td>
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</table>
</div><div class="memdoc">
<p>imaginary part of y-coordinate of generator point in group G2 </p>
</div>
</div>
<a id="a0a146c811ffc97c336772dcdc9ab0470"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0a146c811ffc97c336772dcdc9ab0470">&#9670;&nbsp;</a></span>CURVE_Pyb_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pyb_NUMS512E</td>
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</table>
</div><div class="memdoc">
<p>imaginary part of y-coordinate of generator point in group G2 </p>
</div>
</div>
<a id="adcd12acd9d65cb9b3acf5f18c403df75"></a>
<h2 class="memtitle"><span class="permalink"><a href="#adcd12acd9d65cb9b3acf5f18c403df75">&#9670;&nbsp;</a></span>CURVE_Pyba_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pyba_NUMS512E</td>
</tr>
</table>
</div><div class="memdoc">
<p>real part of y-coordinate of generator point in group G2 </p>
</div>
</div>
<a id="a6f995e786c21ccb469c27e9656f54a51"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6f995e786c21ccb469c27e9656f54a51">&#9670;&nbsp;</a></span>CURVE_Pybaa_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pybaa_NUMS512E</td>
</tr>
</table>
</div><div class="memdoc">
<p>real part of y-coordinate of generator point in group G2 </p>
</div>
</div>
<a id="a1e8f97c3e075a113a7ecdbbfbe5349da"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1e8f97c3e075a113a7ecdbbfbe5349da">&#9670;&nbsp;</a></span>CURVE_Pybab_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pybab_NUMS512E</td>
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</div><div class="memdoc">
<p>imaginary part of y-coordinate of generator point in group G2 </p>
</div>
</div>
<a id="ac9877cc6f1cbb4ac378a28139f99408c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac9877cc6f1cbb4ac378a28139f99408c">&#9670;&nbsp;</a></span>CURVE_Pybb_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pybb_NUMS512E</td>
</tr>
</table>
</div><div class="memdoc">
<p>imaginary part of y-coordinate of generator point in group G2 </p>
</div>
</div>
<a id="a61a98b9f7c4e1c15395eaad2fad0f2a8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a61a98b9f7c4e1c15395eaad2fad0f2a8">&#9670;&nbsp;</a></span>CURVE_Pybba_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pybba_NUMS512E</td>
</tr>
</table>
</div><div class="memdoc">
<p>real part of y-coordinate of generator point in group G2 </p>
</div>
</div>
<a id="a29f19f09ef93d408f9974eeb9bd9d4ae"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a29f19f09ef93d408f9974eeb9bd9d4ae">&#9670;&nbsp;</a></span>CURVE_Pybbb_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_Pybbb_NUMS512E</td>
</tr>
</table>
</div><div class="memdoc">
<p>imaginary part of y-coordinate of generator point in group G2 </p>
</div>
</div>
<a id="a0014cc70de27d01cc7e18b8eff250f43"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0014cc70de27d01cc7e18b8eff250f43">&#9670;&nbsp;</a></span>CURVE_SB_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_SB_NUMS512E[2][2]</td>
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<p>BN curve constant for GLV decomposition </p>
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<a id="a0f7cf23ebde2f30e1f46c67bb4184872"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0f7cf23ebde2f30e1f46c67bb4184872">&#9670;&nbsp;</a></span>CURVE_W_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_W_NUMS512E[2]</td>
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<p>BN curve constant for GLV decomposition </p>
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<h2 class="memtitle"><span class="permalink"><a href="#adaf10c3bfb5e3982350b61904b967486">&#9670;&nbsp;</a></span>CURVE_WB_NUMS512E</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> CURVE_WB_NUMS512E[4]</td>
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<p>BN curve constant for GS decomposition </p>
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<h2 class="memtitle"><span class="permalink"><a href="#ad6f2370cc46044dc5544155fb45064a3">&#9670;&nbsp;</a></span>Fra_512PM</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> Fra_512PM</td>
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<p>real part of BN curve Frobenius Constant </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a8dd44f2b459f2dfd940c9fc64d6faf40">&#9670;&nbsp;</a></span>Frb_512PM</h2>
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<td class="memname">const <a class="el" href="big__512__56_8h.html#ab11601a54bdce84587a8c0667fbd0e9c">BIG_512_56</a> Frb_512PM</td>
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<p>imaginary part of BN curve Frobenius Constant </p>
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