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| |
| <p>ECP2 Header File. |
| <a href="#details">More...</a></p> |
| <div class="textblock"><code>#include "<a class="el" href="fp2__BN254CX_8h_source.html">fp2_BN254CX.h</a>"</code><br /> |
| <code>#include "config_curve_BN254CX.h"</code><br /> |
| </div> |
| <p><a href="ecp2__BN254CX_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  </td><td class="memItemRight" valign="bottom"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a></td></tr> |
| <tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">ECP2 Structure - Elliptic Curve Point over quadratic extension field. <a href="structECP2__BN254CX.html#details">More...</a><br /></td></tr> |
| <tr class="separator:"><td class="memSeparator" colspan="2"> </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:ade38f8875b93f9bc0ef934d7b7b672b7"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#ade38f8875b93f9bc0ef934d7b7b672b7">ECP2_BN254CX_isinf</a> (<a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *P)</td></tr> |
| <tr class="memdesc:ade38f8875b93f9bc0ef934d7b7b672b7"><td class="mdescLeft"> </td><td class="mdescRight">Tests for ECP2 point equal to infinity. <a href="#ade38f8875b93f9bc0ef934d7b7b672b7">More...</a><br /></td></tr> |
| <tr class="separator:ade38f8875b93f9bc0ef934d7b7b672b7"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:aa53e6a1648820ecbd21de3009a2df2f4"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#aa53e6a1648820ecbd21de3009a2df2f4">ECP2_BN254CX_copy</a> (<a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *P, <a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *Q)</td></tr> |
| <tr class="memdesc:aa53e6a1648820ecbd21de3009a2df2f4"><td class="mdescLeft"> </td><td class="mdescRight">Copy ECP2 point to another ECP2 point. <a href="#aa53e6a1648820ecbd21de3009a2df2f4">More...</a><br /></td></tr> |
| <tr class="separator:aa53e6a1648820ecbd21de3009a2df2f4"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a5a82b78fa5d79098c28edca85973a4b3"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#a5a82b78fa5d79098c28edca85973a4b3">ECP2_BN254CX_inf</a> (<a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *P)</td></tr> |
| <tr class="memdesc:a5a82b78fa5d79098c28edca85973a4b3"><td class="mdescLeft"> </td><td class="mdescRight">Set ECP2 to point-at-infinity. <a href="#a5a82b78fa5d79098c28edca85973a4b3">More...</a><br /></td></tr> |
| <tr class="separator:a5a82b78fa5d79098c28edca85973a4b3"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a83a109ca6d1c96bf430a107cc6245af4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#a83a109ca6d1c96bf430a107cc6245af4">ECP2_BN254CX_equals</a> (<a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *P, <a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *Q)</td></tr> |
| <tr class="memdesc:a83a109ca6d1c96bf430a107cc6245af4"><td class="mdescLeft"> </td><td class="mdescRight">Tests for equality of two ECP2s. <a href="#a83a109ca6d1c96bf430a107cc6245af4">More...</a><br /></td></tr> |
| <tr class="separator:a83a109ca6d1c96bf430a107cc6245af4"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a2af5c7561812eb45f837002121fa4a91"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#a2af5c7561812eb45f837002121fa4a91">ECP2_BN254CX_affine</a> (<a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *P)</td></tr> |
| <tr class="memdesc:a2af5c7561812eb45f837002121fa4a91"><td class="mdescLeft"> </td><td class="mdescRight">Converts an ECP2 point from Projective (x,y,z) coordinates to affine (x,y) coordinates. <a href="#a2af5c7561812eb45f837002121fa4a91">More...</a><br /></td></tr> |
| <tr class="separator:a2af5c7561812eb45f837002121fa4a91"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ab8eaebc8dd24ecbd4395d5d6122c6e44"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#ab8eaebc8dd24ecbd4395d5d6122c6e44">ECP2_BN254CX_get</a> (<a class="el" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x, <a class="el" href="structFP2__BN254CX.html">FP2_BN254CX</a> *y, <a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *P)</td></tr> |
| <tr class="memdesc:ab8eaebc8dd24ecbd4395d5d6122c6e44"><td class="mdescLeft"> </td><td class="mdescRight">Extract x and y coordinates of an ECP2 point P. <a href="#ab8eaebc8dd24ecbd4395d5d6122c6e44">More...</a><br /></td></tr> |
| <tr class="separator:ab8eaebc8dd24ecbd4395d5d6122c6e44"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a22781ceb0a2b081e302f58aecfdeaf5b"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#a22781ceb0a2b081e302f58aecfdeaf5b">ECP2_BN254CX_output</a> (<a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *P)</td></tr> |
| <tr class="memdesc:a22781ceb0a2b081e302f58aecfdeaf5b"><td class="mdescLeft"> </td><td class="mdescRight">Formats and outputs an ECP2 point to the console, converted to affine coordinates. <a href="#a22781ceb0a2b081e302f58aecfdeaf5b">More...</a><br /></td></tr> |
| <tr class="separator:a22781ceb0a2b081e302f58aecfdeaf5b"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:af59b3dd5e17ec40dab2158e595c91e6d"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#af59b3dd5e17ec40dab2158e595c91e6d">ECP2_BN254CX_outputxyz</a> (<a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *P)</td></tr> |
| <tr class="memdesc:af59b3dd5e17ec40dab2158e595c91e6d"><td class="mdescLeft"> </td><td class="mdescRight">Formats and outputs an ECP2 point to the console, in projective coordinates. <a href="#af59b3dd5e17ec40dab2158e595c91e6d">More...</a><br /></td></tr> |
| <tr class="separator:af59b3dd5e17ec40dab2158e595c91e6d"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:aa52393fe6523e5d9449d4f76b7034ceb"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#aa52393fe6523e5d9449d4f76b7034ceb">ECP2_BN254CX_toOctet</a> (<a class="el" href="structoctet.html">octet</a> *S, <a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *P)</td></tr> |
| <tr class="memdesc:aa52393fe6523e5d9449d4f76b7034ceb"><td class="mdescLeft"> </td><td class="mdescRight">Formats and outputs an ECP2 point to an octet string. <a href="#aa52393fe6523e5d9449d4f76b7034ceb">More...</a><br /></td></tr> |
| <tr class="separator:aa52393fe6523e5d9449d4f76b7034ceb"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a68c1130df3dceb9c0bffdd38ed8a80e3"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#a68c1130df3dceb9c0bffdd38ed8a80e3">ECP2_BN254CX_fromOctet</a> (<a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *P, <a class="el" href="structoctet.html">octet</a> *S)</td></tr> |
| <tr class="memdesc:a68c1130df3dceb9c0bffdd38ed8a80e3"><td class="mdescLeft"> </td><td class="mdescRight">Creates an ECP2 point from an octet string. <a href="#a68c1130df3dceb9c0bffdd38ed8a80e3">More...</a><br /></td></tr> |
| <tr class="separator:a68c1130df3dceb9c0bffdd38ed8a80e3"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a085206554e96636608ac9475eb99b71e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#a085206554e96636608ac9475eb99b71e">ECP2_BN254CX_rhs</a> (<a class="el" href="structFP2__BN254CX.html">FP2_BN254CX</a> *r, <a class="el" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x)</td></tr> |
| <tr class="memdesc:a085206554e96636608ac9475eb99b71e"><td class="mdescLeft"> </td><td class="mdescRight">Calculate Right Hand Side of curve equation y^2=f(x) <a href="#a085206554e96636608ac9475eb99b71e">More...</a><br /></td></tr> |
| <tr class="separator:a085206554e96636608ac9475eb99b71e"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ab9b31fcf7a72614e8344e9cf90a61f58"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#ab9b31fcf7a72614e8344e9cf90a61f58">ECP2_BN254CX_set</a> (<a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *P, <a class="el" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x, <a class="el" href="structFP2__BN254CX.html">FP2_BN254CX</a> *y)</td></tr> |
| <tr class="memdesc:ab9b31fcf7a72614e8344e9cf90a61f58"><td class="mdescLeft"> </td><td class="mdescRight">Set ECP2 to point(x,y) given x and y. <a href="#ab9b31fcf7a72614e8344e9cf90a61f58">More...</a><br /></td></tr> |
| <tr class="separator:ab9b31fcf7a72614e8344e9cf90a61f58"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a7cc91a8a153b361358775237919c1e8d"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#a7cc91a8a153b361358775237919c1e8d">ECP2_BN254CX_setx</a> (<a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *P, <a class="el" href="structFP2__BN254CX.html">FP2_BN254CX</a> *x)</td></tr> |
| <tr class="memdesc:a7cc91a8a153b361358775237919c1e8d"><td class="mdescLeft"> </td><td class="mdescRight">Set ECP to point(x,[y]) given x. <a href="#a7cc91a8a153b361358775237919c1e8d">More...</a><br /></td></tr> |
| <tr class="separator:a7cc91a8a153b361358775237919c1e8d"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a6424ecb3c0947d12d548b6c49a25f903"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#a6424ecb3c0947d12d548b6c49a25f903">ECP2_BN254CX_neg</a> (<a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *P)</td></tr> |
| <tr class="memdesc:a6424ecb3c0947d12d548b6c49a25f903"><td class="mdescLeft"> </td><td class="mdescRight">Negation of an ECP2 point. <a href="#a6424ecb3c0947d12d548b6c49a25f903">More...</a><br /></td></tr> |
| <tr class="separator:a6424ecb3c0947d12d548b6c49a25f903"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ab44c211dfbf528345bace76d024524c9"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#ab44c211dfbf528345bace76d024524c9">ECP2_BN254CX_dbl</a> (<a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *P)</td></tr> |
| <tr class="memdesc:ab44c211dfbf528345bace76d024524c9"><td class="mdescLeft"> </td><td class="mdescRight">Doubles an ECP2 instance P. <a href="#ab44c211dfbf528345bace76d024524c9">More...</a><br /></td></tr> |
| <tr class="separator:ab44c211dfbf528345bace76d024524c9"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ad1ac2a2626dcd801d9a881510e914b60"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#ad1ac2a2626dcd801d9a881510e914b60">ECP2_BN254CX_add</a> (<a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *P, <a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *Q)</td></tr> |
| <tr class="memdesc:ad1ac2a2626dcd801d9a881510e914b60"><td class="mdescLeft"> </td><td class="mdescRight">Adds ECP2 instance Q to ECP2 instance P. <a href="#ad1ac2a2626dcd801d9a881510e914b60">More...</a><br /></td></tr> |
| <tr class="separator:ad1ac2a2626dcd801d9a881510e914b60"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ad33272b8eb28acabe937720722a90160"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#ad33272b8eb28acabe937720722a90160">ECP2_BN254CX_sub</a> (<a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *P, <a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *Q)</td></tr> |
| <tr class="memdesc:ad33272b8eb28acabe937720722a90160"><td class="mdescLeft"> </td><td class="mdescRight">Subtracts ECP instance Q from ECP2 instance P. <a href="#ad33272b8eb28acabe937720722a90160">More...</a><br /></td></tr> |
| <tr class="separator:ad33272b8eb28acabe937720722a90160"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a881f86970adb59588910927d793bfb56"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#a881f86970adb59588910927d793bfb56">ECP2_BN254CX_mul</a> (<a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *P, <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> b)</td></tr> |
| <tr class="memdesc:a881f86970adb59588910927d793bfb56"><td class="mdescLeft"> </td><td class="mdescRight">Multiplies an ECP2 instance P by a BIG, side-channel resistant. <a href="#a881f86970adb59588910927d793bfb56">More...</a><br /></td></tr> |
| <tr class="separator:a881f86970adb59588910927d793bfb56"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:adfe6f2ad1bd16d236cafa9c59391cdbc"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#adfe6f2ad1bd16d236cafa9c59391cdbc">ECP2_BN254CX_frob</a> (<a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *P, <a class="el" href="structFP2__BN254CX.html">FP2_BN254CX</a> *f)</td></tr> |
| <tr class="memdesc:adfe6f2ad1bd16d236cafa9c59391cdbc"><td class="mdescLeft"> </td><td class="mdescRight">Multiplies an ECP2 instance P by the internal modulus p, using precalculated Frobenius constant f. <a href="#adfe6f2ad1bd16d236cafa9c59391cdbc">More...</a><br /></td></tr> |
| <tr class="separator:adfe6f2ad1bd16d236cafa9c59391cdbc"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a11c14cf03030d090769e5ee25bb0acdd"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#a11c14cf03030d090769e5ee25bb0acdd">ECP2_BN254CX_mul4</a> (<a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *P, <a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *Q, <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> *b)</td></tr> |
| <tr class="memdesc:a11c14cf03030d090769e5ee25bb0acdd"><td class="mdescLeft"> </td><td class="mdescRight">Calculates P=b[0]*Q[0]+b[1]*Q[1]+b[2]*Q[2]+b[3]*Q[3]. <a href="#a11c14cf03030d090769e5ee25bb0acdd">More...</a><br /></td></tr> |
| <tr class="separator:a11c14cf03030d090769e5ee25bb0acdd"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:aededcccc165bd971141f0663bdc81c1c"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#aededcccc165bd971141f0663bdc81c1c">ECP2_BN254CX_mapit</a> (<a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *P, <a class="el" href="structoctet.html">octet</a> *w)</td></tr> |
| <tr class="memdesc:aededcccc165bd971141f0663bdc81c1c"><td class="mdescLeft"> </td><td class="mdescRight">Maps random BIG to curve point of correct order. <a href="#aededcccc165bd971141f0663bdc81c1c">More...</a><br /></td></tr> |
| <tr class="separator:aededcccc165bd971141f0663bdc81c1c"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ae8f56e1a8a9a8f12b02e42a0bf5df003"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#ae8f56e1a8a9a8f12b02e42a0bf5df003">ECP2_BN254CX_generator</a> (<a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> *G)</td></tr> |
| <tr class="memdesc:ae8f56e1a8a9a8f12b02e42a0bf5df003"><td class="mdescLeft"> </td><td class="mdescRight">Get Group Generator from ROM. <a href="#ae8f56e1a8a9a8f12b02e42a0bf5df003">More...</a><br /></td></tr> |
| <tr class="separator:ae8f56e1a8a9a8f12b02e42a0bf5df003"><td class="memSeparator" colspan="2"> </td></tr> |
| </table><table class="memberdecls"> |
| <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a> |
| Variables</h2></td></tr> |
| <tr class="memitem:afac5736c431d7fe10767546c82144cab"><td class="memItemLeft" align="right" valign="top">const int </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#afac5736c431d7fe10767546c82144cab">CURVE_A_BN254CX</a></td></tr> |
| <tr class="separator:afac5736c431d7fe10767546c82144cab"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ada76eb3346ca4c61d0f0a579ebc200c1"><td class="memItemLeft" align="right" valign="top">const int </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#ada76eb3346ca4c61d0f0a579ebc200c1">CURVE_B_I_BN254CX</a></td></tr> |
| <tr class="separator:ada76eb3346ca4c61d0f0a579ebc200c1"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:acc1122309d3b865c8b2c583ef2bc8cf6"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#acc1122309d3b865c8b2c583ef2bc8cf6">CURVE_B_BN254CX</a></td></tr> |
| <tr class="separator:acc1122309d3b865c8b2c583ef2bc8cf6"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a24e56e7627aedba9f52dce21f1e46104"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#a24e56e7627aedba9f52dce21f1e46104">CURVE_Order_BN254CX</a></td></tr> |
| <tr class="separator:a24e56e7627aedba9f52dce21f1e46104"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a3bacf661cb5035efdbb89ec6d0681d61"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#a3bacf661cb5035efdbb89ec6d0681d61">CURVE_Cof_BN254CX</a></td></tr> |
| <tr class="separator:a3bacf661cb5035efdbb89ec6d0681d61"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a7deaf9d8c32aa462bc43f85a3a360c05"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#a7deaf9d8c32aa462bc43f85a3a360c05">CURVE_Bnx_BN254CX</a></td></tr> |
| <tr class="separator:a7deaf9d8c32aa462bc43f85a3a360c05"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a6faf844be96d5ff48e3ae1d8b0c75830"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#a6faf844be96d5ff48e3ae1d8b0c75830">Fra_BN254CX</a></td></tr> |
| <tr class="separator:a6faf844be96d5ff48e3ae1d8b0c75830"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a17fa2a380fb640a2993fabf146be444b"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#a17fa2a380fb640a2993fabf146be444b">Frb_BN254CX</a></td></tr> |
| <tr class="separator:a17fa2a380fb640a2993fabf146be444b"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a7cbfa3f292d2e2a7855b9b5193fad43f"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#a7cbfa3f292d2e2a7855b9b5193fad43f">CURVE_Gx_BN254CX</a></td></tr> |
| <tr class="separator:a7cbfa3f292d2e2a7855b9b5193fad43f"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:afd5a19ef23281b022305b38cfc575743"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#afd5a19ef23281b022305b38cfc575743">CURVE_Gy_BN254CX</a></td></tr> |
| <tr class="separator:afd5a19ef23281b022305b38cfc575743"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a5b91d313e6708f319d9ae1afdc808f17"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#a5b91d313e6708f319d9ae1afdc808f17">CURVE_Pxa_BN254CX</a></td></tr> |
| <tr class="separator:a5b91d313e6708f319d9ae1afdc808f17"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a8597fc07af6bff2c2e1c4c1df18c78d4"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#a8597fc07af6bff2c2e1c4c1df18c78d4">CURVE_Pxb_BN254CX</a></td></tr> |
| <tr class="separator:a8597fc07af6bff2c2e1c4c1df18c78d4"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a373e2c6b7a96714624d46dcba44d2175"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#a373e2c6b7a96714624d46dcba44d2175">CURVE_Pya_BN254CX</a></td></tr> |
| <tr class="separator:a373e2c6b7a96714624d46dcba44d2175"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a94d683888f5b67525ec1117f9e7896e7"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="ecp2__BN254CX_8h.html#a94d683888f5b67525ec1117f9e7896e7">CURVE_Pyb_BN254CX</a></td></tr> |
| <tr class="separator:a94d683888f5b67525ec1117f9e7896e7"><td class="memSeparator" colspan="2"> </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="ad1ac2a2626dcd801d9a881510e914b60"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ad1ac2a2626dcd801d9a881510e914b60">◆ </a></span>ECP2_BN254CX_add()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int ECP2_BN254CX_add </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </td> |
| <td class="paramname"><em>P</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </td> |
| <td class="paramname"><em>Q</em> </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>ECP2 instance, on exit =P+Q </td></tr> |
| <tr><td class="paramname">Q</td><td>ECP2 instance to be added to P </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a2af5c7561812eb45f837002121fa4a91"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a2af5c7561812eb45f837002121fa4a91">◆ </a></span>ECP2_BN254CX_affine()</h2> |
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| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void ECP2_BN254CX_affine </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </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>ECP2 instance to be converted to affine form </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="aa53e6a1648820ecbd21de3009a2df2f4"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#aa53e6a1648820ecbd21de3009a2df2f4">◆ </a></span>ECP2_BN254CX_copy()</h2> |
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| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void ECP2_BN254CX_copy </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </td> |
| <td class="paramname"><em>P</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </td> |
| <td class="paramname"><em>Q</em> </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>ECP2 instance, on exit = Q </td></tr> |
| <tr><td class="paramname">Q</td><td>ECP2 instance to be copied </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="ab44c211dfbf528345bace76d024524c9"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ab44c211dfbf528345bace76d024524c9">◆ </a></span>ECP2_BN254CX_dbl()</h2> |
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| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int ECP2_BN254CX_dbl </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </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>ECP2 instance, on exit =2*P </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a83a109ca6d1c96bf430a107cc6245af4"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a83a109ca6d1c96bf430a107cc6245af4">◆ </a></span>ECP2_BN254CX_equals()</h2> |
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| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int ECP2_BN254CX_equals </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </td> |
| <td class="paramname"><em>P</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </td> |
| <td class="paramname"><em>Q</em> </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>ECP2 instance to be compared </td></tr> |
| <tr><td class="paramname">Q</td><td>ECP2 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="adfe6f2ad1bd16d236cafa9c59391cdbc"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#adfe6f2ad1bd16d236cafa9c59391cdbc">◆ </a></span>ECP2_BN254CX_frob()</h2> |
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| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void ECP2_BN254CX_frob </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </td> |
| <td class="paramname"><em>P</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP2__BN254CX.html">FP2_BN254CX</a> * </td> |
| <td class="paramname"><em>f</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>Fast point multiplication using Frobenius </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">P</td><td>ECP2 instance, on exit = p*P </td></tr> |
| <tr><td class="paramname">f</td><td>FP2 precalculated Frobenius constant </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a68c1130df3dceb9c0bffdd38ed8a80e3"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a68c1130df3dceb9c0bffdd38ed8a80e3">◆ </a></span>ECP2_BN254CX_fromOctet()</h2> |
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| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int ECP2_BN254CX_fromOctet </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </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> * </td> |
| <td class="paramname"><em>S</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>The octet string is in the form x|y The real and imaginary parts of the x and y coordinates are in big-endian base 256 form. </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">P</td><td>ECP2 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="ae8f56e1a8a9a8f12b02e42a0bf5df003"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ae8f56e1a8a9a8f12b02e42a0bf5df003">◆ </a></span>ECP2_BN254CX_generator()</h2> |
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| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void ECP2_BN254CX_generator </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </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>ECP2 instance </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="ab8eaebc8dd24ecbd4395d5d6122c6e44"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ab8eaebc8dd24ecbd4395d5d6122c6e44">◆ </a></span>ECP2_BN254CX_get()</h2> |
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| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int ECP2_BN254CX_get </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP2__BN254CX.html">FP2_BN254CX</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP2__BN254CX.html">FP2_BN254CX</a> * </td> |
| <td class="paramname"><em>y</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </td> |
| <td class="paramname"><em>P</em> </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>FP2 on exit = x coordinate of point </td></tr> |
| <tr><td class="paramname">y</td><td>FP2 on exit = y coordinate of point (unless x=y) </td></tr> |
| <tr><td class="paramname">P</td><td>ECP2 instance (x,y) </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd>-1 if P is point-at-infinity, else 0 </dd></dl> |
| |
| </div> |
| </div> |
| <a id="a5a82b78fa5d79098c28edca85973a4b3"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a5a82b78fa5d79098c28edca85973a4b3">◆ </a></span>ECP2_BN254CX_inf()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void ECP2_BN254CX_inf </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </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>ECP2 instance to be set to infinity </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="ade38f8875b93f9bc0ef934d7b7b672b7"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ade38f8875b93f9bc0ef934d7b7b672b7">◆ </a></span>ECP2_BN254CX_isinf()</h2> |
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| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int ECP2_BN254CX_isinf </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </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>ECP2 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="aededcccc165bd971141f0663bdc81c1c"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#aededcccc165bd971141f0663bdc81c1c">◆ </a></span>ECP2_BN254CX_mapit()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void ECP2_BN254CX_mapit </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </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> * </td> |
| <td class="paramname"><em>w</em> </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>ECP2 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="a881f86970adb59588910927d793bfb56"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a881f86970adb59588910927d793bfb56">◆ </a></span>ECP2_BN254CX_mul()</h2> |
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| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void ECP2_BN254CX_mul </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </td> |
| <td class="paramname"><em>P</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> </td> |
| <td class="paramname"><em>b</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>Uses fixed sized windows. </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">P</td><td>ECP2 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="a11c14cf03030d090769e5ee25bb0acdd"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a11c14cf03030d090769e5ee25bb0acdd">◆ </a></span>ECP2_BN254CX_mul4()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void ECP2_BN254CX_mul4 </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </td> |
| <td class="paramname"><em>P</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </td> |
| <td class="paramname"><em>Q</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> * </td> |
| <td class="paramname"><em>b</em> </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>ECP2 instance, on exit = b[0]*Q[0]+b[1]*Q[1]+b[2]*Q[2]+b[3]*Q[3] </td></tr> |
| <tr><td class="paramname">Q</td><td>ECP2 array of 4 points </td></tr> |
| <tr><td class="paramname">b</td><td>BIG array of 4 multipliers </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a6424ecb3c0947d12d548b6c49a25f903"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a6424ecb3c0947d12d548b6c49a25f903">◆ </a></span>ECP2_BN254CX_neg()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void ECP2_BN254CX_neg </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </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>ECP2 instance, on exit = -P </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a22781ceb0a2b081e302f58aecfdeaf5b"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a22781ceb0a2b081e302f58aecfdeaf5b">◆ </a></span>ECP2_BN254CX_output()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void ECP2_BN254CX_output </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </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>ECP2 instance to be printed </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="af59b3dd5e17ec40dab2158e595c91e6d"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#af59b3dd5e17ec40dab2158e595c91e6d">◆ </a></span>ECP2_BN254CX_outputxyz()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void ECP2_BN254CX_outputxyz </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </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>ECP2 instance to be printed </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a085206554e96636608ac9475eb99b71e"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a085206554e96636608ac9475eb99b71e">◆ </a></span>ECP2_BN254CX_rhs()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void ECP2_BN254CX_rhs </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP2__BN254CX.html">FP2_BN254CX</a> * </td> |
| <td class="paramname"><em>r</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP2__BN254CX.html">FP2_BN254CX</a> * </td> |
| <td class="paramname"><em>x</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>Function f(x)=x^3+Ax+B Used internally. </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">r</td><td>FP2 value of f(x) </td></tr> |
| <tr><td class="paramname">x</td><td>FP2 instance </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="ab9b31fcf7a72614e8344e9cf90a61f58"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ab9b31fcf7a72614e8344e9cf90a61f58">◆ </a></span>ECP2_BN254CX_set()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int ECP2_BN254CX_set </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </td> |
| <td class="paramname"><em>P</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP2__BN254CX.html">FP2_BN254CX</a> * </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP2__BN254CX.html">FP2_BN254CX</a> * </td> |
| <td class="paramname"><em>y</em> </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>ECP2 instance to be set (x,y) </td></tr> |
| <tr><td class="paramname">x</td><td>FP2 x coordinate of point </td></tr> |
| <tr><td class="paramname">y</td><td>FP2 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="a7cc91a8a153b361358775237919c1e8d"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a7cc91a8a153b361358775237919c1e8d">◆ </a></span>ECP2_BN254CX_setx()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int ECP2_BN254CX_setx </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </td> |
| <td class="paramname"><em>P</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP2__BN254CX.html">FP2_BN254CX</a> * </td> |
| <td class="paramname"><em>x</em> </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. Otherwise y coordinate is calculated from x. </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> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd>1 if point exists, else 0 </dd></dl> |
| |
| </div> |
| </div> |
| <a id="ad33272b8eb28acabe937720722a90160"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ad33272b8eb28acabe937720722a90160">◆ </a></span>ECP2_BN254CX_sub()</h2> |
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| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void ECP2_BN254CX_sub </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </td> |
| <td class="paramname"><em>P</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </td> |
| <td class="paramname"><em>Q</em> </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>ECP2 instance, on exit =P-Q </td></tr> |
| <tr><td class="paramname">Q</td><td>ECP2 instance to be subtracted from P </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="aa52393fe6523e5d9449d4f76b7034ceb"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#aa52393fe6523e5d9449d4f76b7034ceb">◆ </a></span>ECP2_BN254CX_toOctet()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void ECP2_BN254CX_toOctet </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structoctet.html">octet</a> * </td> |
| <td class="paramname"><em>S</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structECP2__BN254CX.html">ECP2_BN254CX</a> * </td> |
| <td class="paramname"><em>P</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>The octet string is created in the form x|y. Convert the real and imaginary parts of the x and y coordinates to big-endian base 256 form. </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">S</td><td>output octet string </td></tr> |
| <tr><td class="paramname">P</td><td>ECP2 instance to be converted to an octet string </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <h2 class="groupheader">Variable Documentation</h2> |
| <a id="afac5736c431d7fe10767546c82144cab"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#afac5736c431d7fe10767546c82144cab">◆ </a></span>CURVE_A_BN254CX</h2> |
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| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">const int CURVE_A_BN254CX</td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>Elliptic curve A parameter </p> |
| |
| </div> |
| </div> |
| <a id="acc1122309d3b865c8b2c583ef2bc8cf6"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#acc1122309d3b865c8b2c583ef2bc8cf6">◆ </a></span>CURVE_B_BN254CX</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> CURVE_B_BN254CX</td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>Elliptic curve B parameter </p> |
| |
| </div> |
| </div> |
| <a id="ada76eb3346ca4c61d0f0a579ebc200c1"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ada76eb3346ca4c61d0f0a579ebc200c1">◆ </a></span>CURVE_B_I_BN254CX</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">const int CURVE_B_I_BN254CX</td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>Elliptic curve B parameter </p> |
| |
| </div> |
| </div> |
| <a id="a7deaf9d8c32aa462bc43f85a3a360c05"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a7deaf9d8c32aa462bc43f85a3a360c05">◆ </a></span>CURVE_Bnx_BN254CX</h2> |
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| <td class="memname">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> CURVE_Bnx_BN254CX</td> |
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| <p>Elliptic curve parameter </p> |
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| <a id="a3bacf661cb5035efdbb89ec6d0681d61"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a3bacf661cb5035efdbb89ec6d0681d61">◆ </a></span>CURVE_Cof_BN254CX</h2> |
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| <td class="memname">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> CURVE_Cof_BN254CX</td> |
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| <p>Elliptic curve cofactor </p> |
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| <a id="a7cbfa3f292d2e2a7855b9b5193fad43f"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a7cbfa3f292d2e2a7855b9b5193fad43f">◆ </a></span>CURVE_Gx_BN254CX</h2> |
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| <td class="memname">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> CURVE_Gx_BN254CX</td> |
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| <p>x-coordinate of generator point in group G1 </p> |
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| <a id="afd5a19ef23281b022305b38cfc575743"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#afd5a19ef23281b022305b38cfc575743">◆ </a></span>CURVE_Gy_BN254CX</h2> |
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| <td class="memname">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> CURVE_Gy_BN254CX</td> |
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| <p>y-coordinate of generator point in group G1 </p> |
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| <a id="a24e56e7627aedba9f52dce21f1e46104"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a24e56e7627aedba9f52dce21f1e46104">◆ </a></span>CURVE_Order_BN254CX</h2> |
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| <td class="memname">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> CURVE_Order_BN254CX</td> |
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| <p>Elliptic curve group order </p> |
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| <a id="a5b91d313e6708f319d9ae1afdc808f17"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a5b91d313e6708f319d9ae1afdc808f17">◆ </a></span>CURVE_Pxa_BN254CX</h2> |
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| <td class="memname">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> CURVE_Pxa_BN254CX</td> |
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| <p>real part of x-coordinate of generator point in group G2 </p> |
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| </div> |
| <a id="a8597fc07af6bff2c2e1c4c1df18c78d4"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a8597fc07af6bff2c2e1c4c1df18c78d4">◆ </a></span>CURVE_Pxb_BN254CX</h2> |
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| <td class="memname">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> CURVE_Pxb_BN254CX</td> |
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| </div><div class="memdoc"> |
| <p>imaginary part of x-coordinate of generator point in group G2 </p> |
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| <a id="a373e2c6b7a96714624d46dcba44d2175"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a373e2c6b7a96714624d46dcba44d2175">◆ </a></span>CURVE_Pya_BN254CX</h2> |
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| <td class="memname">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> CURVE_Pya_BN254CX</td> |
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| </div><div class="memdoc"> |
| <p>real part of y-coordinate of generator point in group G2 </p> |
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| <a id="a94d683888f5b67525ec1117f9e7896e7"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a94d683888f5b67525ec1117f9e7896e7">◆ </a></span>CURVE_Pyb_BN254CX</h2> |
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| <td class="memname">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> CURVE_Pyb_BN254CX</td> |
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| </div><div class="memdoc"> |
| <p>imaginary part of y-coordinate of generator point in group G2 </p> |
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| <a id="a6faf844be96d5ff48e3ae1d8b0c75830"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a6faf844be96d5ff48e3ae1d8b0c75830">◆ </a></span>Fra_BN254CX</h2> |
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| <td class="memname">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> Fra_BN254CX</td> |
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| <p>real part of BN curve Frobenius Constant </p> |
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| <a id="a17fa2a380fb640a2993fabf146be444b"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a17fa2a380fb640a2993fabf146be444b">◆ </a></span>Frb_BN254CX</h2> |
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| <td class="memname">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> Frb_BN254CX</td> |
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| <p>imaginary part of BN curve Frobenius Constant </p> |
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