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| |
| <p>FP4 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="fp4__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="structFP4__BN254CX.html">FP4_BN254CX</a></td></tr> |
| <tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">FP4 Structure - towered over two FP2. <a href="structFP4__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:a2177a0fa7a20bbfc97575da3214455c6"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#a2177a0fa7a20bbfc97575da3214455c6">FP4_BN254CX_iszilch</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x)</td></tr> |
| <tr class="memdesc:a2177a0fa7a20bbfc97575da3214455c6"><td class="mdescLeft"> </td><td class="mdescRight">Tests for FP4 equal to zero. <a href="#a2177a0fa7a20bbfc97575da3214455c6">More...</a><br /></td></tr> |
| <tr class="separator:a2177a0fa7a20bbfc97575da3214455c6"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a921cf2143d579e099c673c7e9087ef3f"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#a921cf2143d579e099c673c7e9087ef3f">FP4_BN254CX_isunity</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x)</td></tr> |
| <tr class="memdesc:a921cf2143d579e099c673c7e9087ef3f"><td class="mdescLeft"> </td><td class="mdescRight">Tests for FP4 equal to unity. <a href="#a921cf2143d579e099c673c7e9087ef3f">More...</a><br /></td></tr> |
| <tr class="separator:a921cf2143d579e099c673c7e9087ef3f"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a6919878b95717f620a34aacdc651367d"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#a6919878b95717f620a34aacdc651367d">FP4_BN254CX_equals</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *y)</td></tr> |
| <tr class="memdesc:a6919878b95717f620a34aacdc651367d"><td class="mdescLeft"> </td><td class="mdescRight">Tests for equality of two FP4s. <a href="#a6919878b95717f620a34aacdc651367d">More...</a><br /></td></tr> |
| <tr class="separator:a6919878b95717f620a34aacdc651367d"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a4d444f5019a68d23e5ab68d71844345d"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#a4d444f5019a68d23e5ab68d71844345d">FP4_BN254CX_isreal</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x)</td></tr> |
| <tr class="memdesc:a4d444f5019a68d23e5ab68d71844345d"><td class="mdescLeft"> </td><td class="mdescRight">Tests for FP4 having only a real part and no imaginary part. <a href="#a4d444f5019a68d23e5ab68d71844345d">More...</a><br /></td></tr> |
| <tr class="separator:a4d444f5019a68d23e5ab68d71844345d"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a38618540def839f71d8529fa80fff78e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#a38618540def839f71d8529fa80fff78e">FP4_BN254CX_from_FP2s</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x, <a class="el" href="structFP2__BN254CX.html">FP2_BN254CX</a> *a, <a class="el" href="structFP2__BN254CX.html">FP2_BN254CX</a> *b)</td></tr> |
| <tr class="memdesc:a38618540def839f71d8529fa80fff78e"><td class="mdescLeft"> </td><td class="mdescRight">Initialise FP4 from two FP2s. <a href="#a38618540def839f71d8529fa80fff78e">More...</a><br /></td></tr> |
| <tr class="separator:a38618540def839f71d8529fa80fff78e"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a8dc15deab3019afd281de803f1a53e39"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#a8dc15deab3019afd281de803f1a53e39">FP4_BN254CX_from_FP2</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x, <a class="el" href="structFP2__BN254CX.html">FP2_BN254CX</a> *a)</td></tr> |
| <tr class="memdesc:a8dc15deab3019afd281de803f1a53e39"><td class="mdescLeft"> </td><td class="mdescRight">Initialise FP4 from single FP2. <a href="#a8dc15deab3019afd281de803f1a53e39">More...</a><br /></td></tr> |
| <tr class="separator:a8dc15deab3019afd281de803f1a53e39"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a12d9e4ac268ed1bd57ce8d884e10807f"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#a12d9e4ac268ed1bd57ce8d884e10807f">FP4_BN254CX_from_FP2H</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x, <a class="el" href="structFP2__BN254CX.html">FP2_BN254CX</a> *a)</td></tr> |
| <tr class="memdesc:a12d9e4ac268ed1bd57ce8d884e10807f"><td class="mdescLeft"> </td><td class="mdescRight">Initialise FP4 from single FP2. <a href="#a12d9e4ac268ed1bd57ce8d884e10807f">More...</a><br /></td></tr> |
| <tr class="separator:a12d9e4ac268ed1bd57ce8d884e10807f"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a2fbac5e565f9e43c06a45ba1b7c4f97d"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#a2fbac5e565f9e43c06a45ba1b7c4f97d">FP4_BN254CX_copy</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *y)</td></tr> |
| <tr class="memdesc:a2fbac5e565f9e43c06a45ba1b7c4f97d"><td class="mdescLeft"> </td><td class="mdescRight">Copy FP4 to another FP4. <a href="#a2fbac5e565f9e43c06a45ba1b7c4f97d">More...</a><br /></td></tr> |
| <tr class="separator:a2fbac5e565f9e43c06a45ba1b7c4f97d"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a3e9b2cf667ad70963d8d1af2160063f1"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#a3e9b2cf667ad70963d8d1af2160063f1">FP4_BN254CX_zero</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x)</td></tr> |
| <tr class="memdesc:a3e9b2cf667ad70963d8d1af2160063f1"><td class="mdescLeft"> </td><td class="mdescRight">Set FP4 to zero. <a href="#a3e9b2cf667ad70963d8d1af2160063f1">More...</a><br /></td></tr> |
| <tr class="separator:a3e9b2cf667ad70963d8d1af2160063f1"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a5477abfc459e84bdc0ad14a2107b6ff9"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#a5477abfc459e84bdc0ad14a2107b6ff9">FP4_BN254CX_one</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x)</td></tr> |
| <tr class="memdesc:a5477abfc459e84bdc0ad14a2107b6ff9"><td class="mdescLeft"> </td><td class="mdescRight">Set FP4 to unity. <a href="#a5477abfc459e84bdc0ad14a2107b6ff9">More...</a><br /></td></tr> |
| <tr class="separator:a5477abfc459e84bdc0ad14a2107b6ff9"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a4f8287b4f431f10cc4c4788c7e26148c"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#a4f8287b4f431f10cc4c4788c7e26148c">FP4_BN254CX_neg</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *y)</td></tr> |
| <tr class="memdesc:a4f8287b4f431f10cc4c4788c7e26148c"><td class="mdescLeft"> </td><td class="mdescRight">Negation of FP4. <a href="#a4f8287b4f431f10cc4c4788c7e26148c">More...</a><br /></td></tr> |
| <tr class="separator:a4f8287b4f431f10cc4c4788c7e26148c"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a2e0a84ff4432d8da52d8a7d0be712dfd"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#a2e0a84ff4432d8da52d8a7d0be712dfd">FP4_BN254CX_conj</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *y)</td></tr> |
| <tr class="memdesc:a2e0a84ff4432d8da52d8a7d0be712dfd"><td class="mdescLeft"> </td><td class="mdescRight">Conjugation of FP4. <a href="#a2e0a84ff4432d8da52d8a7d0be712dfd">More...</a><br /></td></tr> |
| <tr class="separator:a2e0a84ff4432d8da52d8a7d0be712dfd"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a2374738525a84cdb458ad944e7c6d0fe"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#a2374738525a84cdb458ad944e7c6d0fe">FP4_BN254CX_nconj</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *y)</td></tr> |
| <tr class="memdesc:a2374738525a84cdb458ad944e7c6d0fe"><td class="mdescLeft"> </td><td class="mdescRight">Negative conjugation of FP4. <a href="#a2374738525a84cdb458ad944e7c6d0fe">More...</a><br /></td></tr> |
| <tr class="separator:a2374738525a84cdb458ad944e7c6d0fe"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a7c4de9e05ee0b5b2fc9ddb99fa43e968"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#a7c4de9e05ee0b5b2fc9ddb99fa43e968">FP4_BN254CX_add</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *y, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *z)</td></tr> |
| <tr class="memdesc:a7c4de9e05ee0b5b2fc9ddb99fa43e968"><td class="mdescLeft"> </td><td class="mdescRight">addition of two FP4s <a href="#a7c4de9e05ee0b5b2fc9ddb99fa43e968">More...</a><br /></td></tr> |
| <tr class="separator:a7c4de9e05ee0b5b2fc9ddb99fa43e968"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:adc26a890a088ceb45a75cfb12f10d807"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#adc26a890a088ceb45a75cfb12f10d807">FP4_BN254CX_sub</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *y, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *z)</td></tr> |
| <tr class="memdesc:adc26a890a088ceb45a75cfb12f10d807"><td class="mdescLeft"> </td><td class="mdescRight">subtraction of two FP4s <a href="#adc26a890a088ceb45a75cfb12f10d807">More...</a><br /></td></tr> |
| <tr class="separator:adc26a890a088ceb45a75cfb12f10d807"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a9676c1658d9305e4c9c417c5e6b0c16c"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#a9676c1658d9305e4c9c417c5e6b0c16c">FP4_BN254CX_pmul</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *y, <a class="el" href="structFP2__BN254CX.html">FP2_BN254CX</a> *a)</td></tr> |
| <tr class="memdesc:a9676c1658d9305e4c9c417c5e6b0c16c"><td class="mdescLeft"> </td><td class="mdescRight">Multiplication of an FP4 by an FP2. <a href="#a9676c1658d9305e4c9c417c5e6b0c16c">More...</a><br /></td></tr> |
| <tr class="separator:a9676c1658d9305e4c9c417c5e6b0c16c"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a12bc496b620af4ba4750866d3a56e81e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#a12bc496b620af4ba4750866d3a56e81e">FP4_BN254CX_qmul</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *y, <a class="el" href="structFP__BN254CX.html">FP_BN254CX</a> *a)</td></tr> |
| <tr class="memdesc:a12bc496b620af4ba4750866d3a56e81e"><td class="mdescLeft"> </td><td class="mdescRight">Multiplication of an FP4 by an FP. <a href="#a12bc496b620af4ba4750866d3a56e81e">More...</a><br /></td></tr> |
| <tr class="separator:a12bc496b620af4ba4750866d3a56e81e"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a448b5213c500da0bdfff1db94ab07bb3"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#a448b5213c500da0bdfff1db94ab07bb3">FP4_BN254CX_imul</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *y, int i)</td></tr> |
| <tr class="memdesc:a448b5213c500da0bdfff1db94ab07bb3"><td class="mdescLeft"> </td><td class="mdescRight">Multiplication of an FP4 by a small integer. <a href="#a448b5213c500da0bdfff1db94ab07bb3">More...</a><br /></td></tr> |
| <tr class="separator:a448b5213c500da0bdfff1db94ab07bb3"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a55b06739ff81e15a74b8236c447a0f9b"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#a55b06739ff81e15a74b8236c447a0f9b">FP4_BN254CX_sqr</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *y)</td></tr> |
| <tr class="memdesc:a55b06739ff81e15a74b8236c447a0f9b"><td class="mdescLeft"> </td><td class="mdescRight">Squaring an FP4. <a href="#a55b06739ff81e15a74b8236c447a0f9b">More...</a><br /></td></tr> |
| <tr class="separator:a55b06739ff81e15a74b8236c447a0f9b"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:aaf3f245bf13e1bce751d1274339eee62"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#aaf3f245bf13e1bce751d1274339eee62">FP4_BN254CX_mul</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *y, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *z)</td></tr> |
| <tr class="memdesc:aaf3f245bf13e1bce751d1274339eee62"><td class="mdescLeft"> </td><td class="mdescRight">Multiplication of two FP4s. <a href="#aaf3f245bf13e1bce751d1274339eee62">More...</a><br /></td></tr> |
| <tr class="separator:aaf3f245bf13e1bce751d1274339eee62"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:aefc4dc9cfb622f245518b34af28bc68f"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#aefc4dc9cfb622f245518b34af28bc68f">FP4_BN254CX_inv</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *y)</td></tr> |
| <tr class="memdesc:aefc4dc9cfb622f245518b34af28bc68f"><td class="mdescLeft"> </td><td class="mdescRight">Inverting an FP4. <a href="#aefc4dc9cfb622f245518b34af28bc68f">More...</a><br /></td></tr> |
| <tr class="separator:aefc4dc9cfb622f245518b34af28bc68f"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:aa66548297b46da4b042dcde506aaef43"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#aa66548297b46da4b042dcde506aaef43">FP4_BN254CX_output</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x)</td></tr> |
| <tr class="memdesc:aa66548297b46da4b042dcde506aaef43"><td class="mdescLeft"> </td><td class="mdescRight">Formats and outputs an FP4 to the console. <a href="#aa66548297b46da4b042dcde506aaef43">More...</a><br /></td></tr> |
| <tr class="separator:aa66548297b46da4b042dcde506aaef43"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ac6848e2150cc5f67513226d9415743fb"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#ac6848e2150cc5f67513226d9415743fb">FP4_BN254CX_rawoutput</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x)</td></tr> |
| <tr class="memdesc:ac6848e2150cc5f67513226d9415743fb"><td class="mdescLeft"> </td><td class="mdescRight">Formats and outputs an FP4 to the console in raw form (for debugging) <a href="#ac6848e2150cc5f67513226d9415743fb">More...</a><br /></td></tr> |
| <tr class="separator:ac6848e2150cc5f67513226d9415743fb"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a05b4c19076f4af7fa233395f682a30b9"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#a05b4c19076f4af7fa233395f682a30b9">FP4_BN254CX_times_i</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x)</td></tr> |
| <tr class="memdesc:a05b4c19076f4af7fa233395f682a30b9"><td class="mdescLeft"> </td><td class="mdescRight">multiplies an FP4 instance by irreducible polynomial sqrt(1+sqrt(-1)) <a href="#a05b4c19076f4af7fa233395f682a30b9">More...</a><br /></td></tr> |
| <tr class="separator:a05b4c19076f4af7fa233395f682a30b9"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:aa427716e18c0bd38e19c7e2e3350e02b"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#aa427716e18c0bd38e19c7e2e3350e02b">FP4_BN254CX_norm</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x)</td></tr> |
| <tr class="memdesc:aa427716e18c0bd38e19c7e2e3350e02b"><td class="mdescLeft"> </td><td class="mdescRight">Normalises the components of an FP4. <a href="#aa427716e18c0bd38e19c7e2e3350e02b">More...</a><br /></td></tr> |
| <tr class="separator:aa427716e18c0bd38e19c7e2e3350e02b"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a6fd4e9915aa4f9c8779d3333f243d55d"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#a6fd4e9915aa4f9c8779d3333f243d55d">FP4_BN254CX_reduce</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x)</td></tr> |
| <tr class="memdesc:a6fd4e9915aa4f9c8779d3333f243d55d"><td class="mdescLeft"> </td><td class="mdescRight">Reduces all components of possibly unreduced FP4 mod Modulus. <a href="#a6fd4e9915aa4f9c8779d3333f243d55d">More...</a><br /></td></tr> |
| <tr class="separator:a6fd4e9915aa4f9c8779d3333f243d55d"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ada4b691d6fe84d0a39951df4818c0cbc"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#ada4b691d6fe84d0a39951df4818c0cbc">FP4_BN254CX_pow</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *y, <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> b)</td></tr> |
| <tr class="memdesc:ada4b691d6fe84d0a39951df4818c0cbc"><td class="mdescLeft"> </td><td class="mdescRight">Raises an FP4 to the power of a BIG. <a href="#ada4b691d6fe84d0a39951df4818c0cbc">More...</a><br /></td></tr> |
| <tr class="separator:ada4b691d6fe84d0a39951df4818c0cbc"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a2431223a4a8b6b0da536564bd4b51f03"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#a2431223a4a8b6b0da536564bd4b51f03">FP4_BN254CX_frob</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x, <a class="el" href="structFP2__BN254CX.html">FP2_BN254CX</a> *f)</td></tr> |
| <tr class="memdesc:a2431223a4a8b6b0da536564bd4b51f03"><td class="mdescLeft"> </td><td class="mdescRight">Raises an FP4 to the power of the internal modulus p, using the Frobenius. <a href="#a2431223a4a8b6b0da536564bd4b51f03">More...</a><br /></td></tr> |
| <tr class="separator:a2431223a4a8b6b0da536564bd4b51f03"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:af43b3913ac61b465c2945b8d70f2a160"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#af43b3913ac61b465c2945b8d70f2a160">FP4_BN254CX_xtr_A</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *r, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *w, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *y, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *z)</td></tr> |
| <tr class="memdesc:af43b3913ac61b465c2945b8d70f2a160"><td class="mdescLeft"> </td><td class="mdescRight">Calculates the XTR addition function r=w*x-conj(x)*y+z. <a href="#af43b3913ac61b465c2945b8d70f2a160">More...</a><br /></td></tr> |
| <tr class="separator:af43b3913ac61b465c2945b8d70f2a160"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a78a88b21db07ad5014014da894e7ca7e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#a78a88b21db07ad5014014da894e7ca7e">FP4_BN254CX_xtr_D</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *r, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x)</td></tr> |
| <tr class="memdesc:a78a88b21db07ad5014014da894e7ca7e"><td class="mdescLeft"> </td><td class="mdescRight">Calculates the XTR doubling function r=x^2-2*conj(x) <a href="#a78a88b21db07ad5014014da894e7ca7e">More...</a><br /></td></tr> |
| <tr class="separator:a78a88b21db07ad5014014da894e7ca7e"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:af7fd16e511f22f5428021d477266af66"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#af7fd16e511f22f5428021d477266af66">FP4_BN254CX_xtr_pow</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *r, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x, <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> b)</td></tr> |
| <tr class="memdesc:af7fd16e511f22f5428021d477266af66"><td class="mdescLeft"> </td><td class="mdescRight">Calculates FP4 trace of an FP12 raised to the power of a BIG number. <a href="#af7fd16e511f22f5428021d477266af66">More...</a><br /></td></tr> |
| <tr class="separator:af7fd16e511f22f5428021d477266af66"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a667cf815d3e826ad02d672d647466fc5"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#a667cf815d3e826ad02d672d647466fc5">FP4_BN254CX_xtr_pow2</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *r, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *c, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *d, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *e, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *f, <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> a, <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> b)</td></tr> |
| <tr class="memdesc:a667cf815d3e826ad02d672d647466fc5"><td class="mdescLeft"> </td><td class="mdescRight">Calculates FP4 trace of c^a.d^b, where c and d are derived from FP4 traces of FP12s. <a href="#a667cf815d3e826ad02d672d647466fc5">More...</a><br /></td></tr> |
| <tr class="separator:a667cf815d3e826ad02d672d647466fc5"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a1b3cd258b0e0ac866f31fc0f875e54ce"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#a1b3cd258b0e0ac866f31fc0f875e54ce">FP4_BN254CX_cmove</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *y, int s)</td></tr> |
| <tr class="memdesc:a1b3cd258b0e0ac866f31fc0f875e54ce"><td class="mdescLeft"> </td><td class="mdescRight">Conditional copy of FP4 number. <a href="#a1b3cd258b0e0ac866f31fc0f875e54ce">More...</a><br /></td></tr> |
| <tr class="separator:a1b3cd258b0e0ac866f31fc0f875e54ce"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:adb0c1a684c51f6744bed6f3e95fdd989"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#adb0c1a684c51f6744bed6f3e95fdd989">FP4_BN254CX_sqrt</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *r, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x)</td></tr> |
| <tr class="memdesc:adb0c1a684c51f6744bed6f3e95fdd989"><td class="mdescLeft"> </td><td class="mdescRight">Calculate square root of an FP4. <a href="#adb0c1a684c51f6744bed6f3e95fdd989">More...</a><br /></td></tr> |
| <tr class="separator:adb0c1a684c51f6744bed6f3e95fdd989"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a4411a9586f2febe719ef62ab05d96d43"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#a4411a9586f2febe719ef62ab05d96d43">FP4_BN254CX_div_i</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x)</td></tr> |
| <tr class="memdesc:a4411a9586f2febe719ef62ab05d96d43"><td class="mdescLeft"> </td><td class="mdescRight">Divide FP4 number by QNR. <a href="#a4411a9586f2febe719ef62ab05d96d43">More...</a><br /></td></tr> |
| <tr class="separator:a4411a9586f2febe719ef62ab05d96d43"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:acd17e44b9687cde9b1d57691fc6652ce"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#acd17e44b9687cde9b1d57691fc6652ce">FP4_BN254CX_div_2i</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x)</td></tr> |
| <tr class="memdesc:acd17e44b9687cde9b1d57691fc6652ce"><td class="mdescLeft"> </td><td class="mdescRight">Divide an FP4 by QNR/2. <a href="#acd17e44b9687cde9b1d57691fc6652ce">More...</a><br /></td></tr> |
| <tr class="separator:acd17e44b9687cde9b1d57691fc6652ce"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ac23fe2bce0343b95187f177b36ff0e80"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="fp4__BN254CX_8h.html#ac23fe2bce0343b95187f177b36ff0e80">FP4_BN254CX_div2</a> (<a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *x, <a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> *y)</td></tr> |
| <tr class="memdesc:ac23fe2bce0343b95187f177b36ff0e80"><td class="mdescLeft"> </td><td class="mdescRight">Divide an FP4 by 2. <a href="#ac23fe2bce0343b95187f177b36ff0e80">More...</a><br /></td></tr> |
| <tr class="separator:ac23fe2bce0343b95187f177b36ff0e80"><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="a7c4de9e05ee0b5b2fc9ddb99fa43e968"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a7c4de9e05ee0b5b2fc9ddb99fa43e968">◆ </a></span>FP4_BN254CX_add()</h2> |
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| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_add </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_BN254CX</a> * </td> |
| <td class="paramname"><em>z</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">x</td><td>FP4 instance, on exit = y+z </td></tr> |
| <tr><td class="paramname">y</td><td>FP4 instance </td></tr> |
| <tr><td class="paramname">z</td><td>FP4 instance </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a1b3cd258b0e0ac866f31fc0f875e54ce"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a1b3cd258b0e0ac866f31fc0f875e54ce">◆ </a></span>FP4_BN254CX_cmove()</h2> |
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| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_cmove </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_BN254CX</a> * </td> |
| <td class="paramname"><em>y</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </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>Conditionally copies second parameter to the first (without branching) </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP4 instance, set to y if s!=0 </td></tr> |
| <tr><td class="paramname">y</td><td>another FP4 instance </td></tr> |
| <tr><td class="paramname">s</td><td>copy only takes place if not equal to 0 </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a2e0a84ff4432d8da52d8a7d0be712dfd"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a2e0a84ff4432d8da52d8a7d0be712dfd">◆ </a></span>FP4_BN254CX_conj()</h2> |
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| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_conj </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_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>If y=(a,b) on exit x=(a,-b) </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP4 instance, on exit = conj(y) </td></tr> |
| <tr><td class="paramname">y</td><td>FP4 instance </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a2fbac5e565f9e43c06a45ba1b7c4f97d"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a2fbac5e565f9e43c06a45ba1b7c4f97d">◆ </a></span>FP4_BN254CX_copy()</h2> |
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| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_copy </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_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"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP4 instance, on exit = y </td></tr> |
| <tr><td class="paramname">y</td><td>FP4 instance to be copied </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="ac23fe2bce0343b95187f177b36ff0e80"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ac23fe2bce0343b95187f177b36ff0e80">◆ </a></span>FP4_BN254CX_div2()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_div2 </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_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"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP4 instance, on exit = y/2 </td></tr> |
| <tr><td class="paramname">y</td><td>FP4 instance </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="acd17e44b9687cde9b1d57691fc6652ce"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#acd17e44b9687cde9b1d57691fc6652ce">◆ </a></span>FP4_BN254CX_div_2i()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_div_2i </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> * </td> |
| <td class="paramname"><em>x</em></td><td>)</td> |
| <td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>Divide FP4 by the QNR/2 </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP4 instance </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a4411a9586f2febe719ef62ab05d96d43"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a4411a9586f2febe719ef62ab05d96d43">◆ </a></span>FP4_BN254CX_div_i()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_div_i </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> * </td> |
| <td class="paramname"><em>x</em></td><td>)</td> |
| <td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>Divide FP4 by the QNR </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP4 instance </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a6919878b95717f620a34aacdc651367d"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a6919878b95717f620a34aacdc651367d">◆ </a></span>FP4_BN254CX_equals()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int FP4_BN254CX_equals </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_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"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP4 instance to be compared </td></tr> |
| <tr><td class="paramname">y</td><td>FP4 instance to be compared </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd>1 if x=y, else returns 0 </dd></dl> |
| |
| </div> |
| </div> |
| <a id="a2431223a4a8b6b0da536564bd4b51f03"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a2431223a4a8b6b0da536564bd4b51f03">◆ </a></span>FP4_BN254CX_frob()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_frob </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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>f</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">x</td><td>FP4 instance, on exit = x^p </td></tr> |
| <tr><td class="paramname">f</td><td>FP2 precalculated Frobenius constant </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a8dc15deab3019afd281de803f1a53e39"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a8dc15deab3019afd281de803f1a53e39">◆ </a></span>FP4_BN254CX_from_FP2()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_from_FP2 </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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>a</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>Imaginary part is set to zero </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP4 instance to be initialised </td></tr> |
| <tr><td class="paramname">a</td><td>FP2 to form real part of FP4 </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a12d9e4ac268ed1bd57ce8d884e10807f"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a12d9e4ac268ed1bd57ce8d884e10807f">◆ </a></span>FP4_BN254CX_from_FP2H()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_from_FP2H </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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>a</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>real part is set to zero </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP4 instance to be initialised </td></tr> |
| <tr><td class="paramname">a</td><td>FP2 to form imaginary part of FP4 </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a38618540def839f71d8529fa80fff78e"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a38618540def839f71d8529fa80fff78e">◆ </a></span>FP4_BN254CX_from_FP2s()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_from_FP2s </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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>a</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>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">x</td><td>FP4 instance to be initialised </td></tr> |
| <tr><td class="paramname">a</td><td>FP2 to form real part of FP4 </td></tr> |
| <tr><td class="paramname">b</td><td>FP2 to form imaginary part of FP4 </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a448b5213c500da0bdfff1db94ab07bb3"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a448b5213c500da0bdfff1db94ab07bb3">◆ </a></span>FP4_BN254CX_imul()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_imul </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_BN254CX</a> * </td> |
| <td class="paramname"><em>y</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int </td> |
| <td class="paramname"><em>i</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">x</td><td>FP4 instance, on exit = y*i </td></tr> |
| <tr><td class="paramname">y</td><td>FP4 instance </td></tr> |
| <tr><td class="paramname">i</td><td>an integer </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="aefc4dc9cfb622f245518b34af28bc68f"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#aefc4dc9cfb622f245518b34af28bc68f">◆ </a></span>FP4_BN254CX_inv()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_inv </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_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"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP4 instance, on exit = 1/y </td></tr> |
| <tr><td class="paramname">y</td><td>FP4 instance </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a4d444f5019a68d23e5ab68d71844345d"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a4d444f5019a68d23e5ab68d71844345d">◆ </a></span>FP4_BN254CX_isreal()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int FP4_BN254CX_isreal </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> * </td> |
| <td class="paramname"><em>x</em></td><td>)</td> |
| <td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP4 number to be tested </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd>1 if real, else returns 0 </dd></dl> |
| |
| </div> |
| </div> |
| <a id="a921cf2143d579e099c673c7e9087ef3f"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a921cf2143d579e099c673c7e9087ef3f">◆ </a></span>FP4_BN254CX_isunity()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int FP4_BN254CX_isunity </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> * </td> |
| <td class="paramname"><em>x</em></td><td>)</td> |
| <td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP4 number to be tested </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd>1 if unity, else returns 0 </dd></dl> |
| |
| </div> |
| </div> |
| <a id="a2177a0fa7a20bbfc97575da3214455c6"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a2177a0fa7a20bbfc97575da3214455c6">◆ </a></span>FP4_BN254CX_iszilch()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int FP4_BN254CX_iszilch </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> * </td> |
| <td class="paramname"><em>x</em></td><td>)</td> |
| <td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP4 number to be tested </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd>1 if zero, else returns 0 </dd></dl> |
| |
| </div> |
| </div> |
| <a id="aaf3f245bf13e1bce751d1274339eee62"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#aaf3f245bf13e1bce751d1274339eee62">◆ </a></span>FP4_BN254CX_mul()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_mul </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_BN254CX</a> * </td> |
| <td class="paramname"><em>z</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">x</td><td>FP4 instance, on exit = y*z </td></tr> |
| <tr><td class="paramname">y</td><td>FP4 instance </td></tr> |
| <tr><td class="paramname">z</td><td>FP4 instance </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a2374738525a84cdb458ad944e7c6d0fe"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a2374738525a84cdb458ad944e7c6d0fe">◆ </a></span>FP4_BN254CX_nconj()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_nconj </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_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>If y=(a,b) on exit x=(-a,b) </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP4 instance, on exit = -conj(y) </td></tr> |
| <tr><td class="paramname">y</td><td>FP4 instance </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a4f8287b4f431f10cc4c4788c7e26148c"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a4f8287b4f431f10cc4c4788c7e26148c">◆ </a></span>FP4_BN254CX_neg()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_neg </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_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"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP4 instance, on exit = -y </td></tr> |
| <tr><td class="paramname">y</td><td>FP4 instance </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="aa427716e18c0bd38e19c7e2e3350e02b"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#aa427716e18c0bd38e19c7e2e3350e02b">◆ </a></span>FP4_BN254CX_norm()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_norm </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> * </td> |
| <td class="paramname"><em>x</em></td><td>)</td> |
| <td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP4 instance to be normalised </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a5477abfc459e84bdc0ad14a2107b6ff9"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a5477abfc459e84bdc0ad14a2107b6ff9">◆ </a></span>FP4_BN254CX_one()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_one </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> * </td> |
| <td class="paramname"><em>x</em></td><td>)</td> |
| <td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP4 instance to be set to one </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="aa66548297b46da4b042dcde506aaef43"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#aa66548297b46da4b042dcde506aaef43">◆ </a></span>FP4_BN254CX_output()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_output </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> * </td> |
| <td class="paramname"><em>x</em></td><td>)</td> |
| <td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP4 instance to be printed </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a9676c1658d9305e4c9c417c5e6b0c16c"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a9676c1658d9305e4c9c417c5e6b0c16c">◆ </a></span>FP4_BN254CX_pmul()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_pmul </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_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="structFP2__BN254CX.html">FP2_BN254CX</a> * </td> |
| <td class="paramname"><em>a</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">x</td><td>FP4 instance, on exit = y*a </td></tr> |
| <tr><td class="paramname">y</td><td>FP4 instance </td></tr> |
| <tr><td class="paramname">a</td><td>FP2 multiplier </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="ada4b691d6fe84d0a39951df4818c0cbc"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ada4b691d6fe84d0a39951df4818c0cbc">◆ </a></span>FP4_BN254CX_pow()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_pow </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_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="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">x</td><td>FP4 instance, on exit = y^b </td></tr> |
| <tr><td class="paramname">y</td><td>FP4 instance </td></tr> |
| <tr><td class="paramname">b</td><td>BIG number </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a12bc496b620af4ba4750866d3a56e81e"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a12bc496b620af4ba4750866d3a56e81e">◆ </a></span>FP4_BN254CX_qmul()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_qmul </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_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="structFP__BN254CX.html">FP_BN254CX</a> * </td> |
| <td class="paramname"><em>a</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">x</td><td>FP4 instance, on exit = y*a </td></tr> |
| <tr><td class="paramname">y</td><td>FP4 instance </td></tr> |
| <tr><td class="paramname">a</td><td>FP multiplier </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="ac6848e2150cc5f67513226d9415743fb"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ac6848e2150cc5f67513226d9415743fb">◆ </a></span>FP4_BN254CX_rawoutput()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_rawoutput </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> * </td> |
| <td class="paramname"><em>x</em></td><td>)</td> |
| <td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP4 instance to be printed </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a6fd4e9915aa4f9c8779d3333f243d55d"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a6fd4e9915aa4f9c8779d3333f243d55d">◆ </a></span>FP4_BN254CX_reduce()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_reduce </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> * </td> |
| <td class="paramname"><em>x</em></td><td>)</td> |
| <td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP4 instance, on exit reduced mod Modulus </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a55b06739ff81e15a74b8236c447a0f9b"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a55b06739ff81e15a74b8236c447a0f9b">◆ </a></span>FP4_BN254CX_sqr()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_sqr </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_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"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP4 instance, on exit = y^2 </td></tr> |
| <tr><td class="paramname">y</td><td>FP4 instance </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="adb0c1a684c51f6744bed6f3e95fdd989"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#adb0c1a684c51f6744bed6f3e95fdd989">◆ </a></span>FP4_BN254CX_sqrt()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">int FP4_BN254CX_sqrt </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_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>Square root </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">r</td><td>FP4 instance, on exit = sqrt(x) </td></tr> |
| <tr><td class="paramname">x</td><td>FP4 instance </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd>1 x is a QR, otherwise 0 </dd></dl> |
| |
| </div> |
| </div> |
| <a id="adc26a890a088ceb45a75cfb12f10d807"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#adc26a890a088ceb45a75cfb12f10d807">◆ </a></span>FP4_BN254CX_sub()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_sub </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_BN254CX</a> * </td> |
| <td class="paramname"><em>z</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">x</td><td>FP4 instance, on exit = y-z </td></tr> |
| <tr><td class="paramname">y</td><td>FP4 instance </td></tr> |
| <tr><td class="paramname">z</td><td>FP4 instance </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a05b4c19076f4af7fa233395f682a30b9"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a05b4c19076f4af7fa233395f682a30b9">◆ </a></span>FP4_BN254CX_times_i()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_times_i </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> * </td> |
| <td class="paramname"><em>x</em></td><td>)</td> |
| <td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP4 instance, on exit = sqrt(1+sqrt(-1)*x </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="af43b3913ac61b465c2945b8d70f2a160"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#af43b3913ac61b465c2945b8d70f2a160">◆ </a></span>FP4_BN254CX_xtr_A()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_xtr_A </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_BN254CX</a> * </td> |
| <td class="paramname"><em>w</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_BN254CX</a> * </td> |
| <td class="paramname"><em>z</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">r</td><td>FP4 instance, on exit = w*x-conj(x)*y+z </td></tr> |
| <tr><td class="paramname">w</td><td>FP4 instance </td></tr> |
| <tr><td class="paramname">x</td><td>FP4 instance </td></tr> |
| <tr><td class="paramname">y</td><td>FP4 instance </td></tr> |
| <tr><td class="paramname">z</td><td>FP4 instance </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a78a88b21db07ad5014014da894e7ca7e"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a78a88b21db07ad5014014da894e7ca7e">◆ </a></span>FP4_BN254CX_xtr_D()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_xtr_D </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_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"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">r</td><td>FP4 instance, on exit = x^2-2*conj(x) </td></tr> |
| <tr><td class="paramname">x</td><td>FP4 instance </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="af7fd16e511f22f5428021d477266af66"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#af7fd16e511f22f5428021d477266af66">◆ </a></span>FP4_BN254CX_xtr_pow()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_xtr_pow </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_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="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>XTR single exponentiation </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">r</td><td>FP4 instance, on exit = trace(w^b) </td></tr> |
| <tr><td class="paramname">x</td><td>FP4 instance, trace of an FP12 w </td></tr> |
| <tr><td class="paramname">b</td><td>BIG number </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a667cf815d3e826ad02d672d647466fc5"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a667cf815d3e826ad02d672d647466fc5">◆ </a></span>FP4_BN254CX_xtr_pow2()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_xtr_pow2 </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_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="structFP4__BN254CX.html">FP4_BN254CX</a> * </td> |
| <td class="paramname"><em>c</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> * </td> |
| <td class="paramname"><em>d</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> * </td> |
| <td class="paramname"><em>e</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> * </td> |
| <td class="paramname"><em>f</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> </td> |
| <td class="paramname"><em>a</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> </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>XTR double exponentiation Assumes c=tr(x^m), d=tr(x^n), e=tr(x^(m-n)), f=tr(x^(m-2n)) </p><dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">r</td><td>FP4 instance, on exit = trace(c^a.d^b) </td></tr> |
| <tr><td class="paramname">c</td><td>FP4 instance, trace of an FP12 </td></tr> |
| <tr><td class="paramname">d</td><td>FP4 instance, trace of an FP12 </td></tr> |
| <tr><td class="paramname">e</td><td>FP4 instance, trace of an FP12 </td></tr> |
| <tr><td class="paramname">f</td><td>FP4 instance, trace of an FP12 </td></tr> |
| <tr><td class="paramname">a</td><td>BIG number </td></tr> |
| <tr><td class="paramname">b</td><td>BIG number </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
| </div> |
| <a id="a3e9b2cf667ad70963d8d1af2160063f1"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#a3e9b2cf667ad70963d8d1af2160063f1">◆ </a></span>FP4_BN254CX_zero()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void FP4_BN254CX_zero </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structFP4__BN254CX.html">FP4_BN254CX</a> * </td> |
| <td class="paramname"><em>x</em></td><td>)</td> |
| <td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>FP4 instance to be set to zero </td></tr> |
| </table> |
| </dd> |
| </dl> |
| |
| </div> |
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