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<div class="title">efq2.h File Reference</div> </div>
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<p>Definition of EFq2 math.
<a href="#details">More...</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:a9181b09474d800c65fd89aee2c28ebab"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="efq2_8h.html#a9181b09474d800c65fd89aee2c28ebab">EFq2IsInf</a> (<a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const *in)</td></tr>
<tr class="memdesc:a9181b09474d800c65fd89aee2c28ebab"><td class="mdescLeft"> </td><td class="mdescRight">Test if a point is infinity. <a href="#a9181b09474d800c65fd89aee2c28ebab">More...</a><br /></td></tr>
<tr class="separator:a9181b09474d800c65fd89aee2c28ebab"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:af1da3e171d605db6f5ea0a70dc01ac27"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="efq2_8h.html#af1da3e171d605db6f5ea0a70dc01ac27">EFq2FromAffine</a> (<a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> *result, <a class="el" href="struct_ecc_point_fq2.html">EccPointFq2</a> const *in)</td></tr>
<tr class="memdesc:af1da3e171d605db6f5ea0a70dc01ac27"><td class="mdescLeft"> </td><td class="mdescRight">Convert a point from Affine to Jacobi representation. <a href="#af1da3e171d605db6f5ea0a70dc01ac27">More...</a><br /></td></tr>
<tr class="separator:af1da3e171d605db6f5ea0a70dc01ac27"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a484e6af5efc2042d865999dac9489684"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="efq2_8h.html#a484e6af5efc2042d865999dac9489684">EFq2ToAffine</a> (<a class="el" href="struct_ecc_point_fq2.html">EccPointFq2</a> *result, <a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const *in)</td></tr>
<tr class="memdesc:a484e6af5efc2042d865999dac9489684"><td class="mdescLeft"> </td><td class="mdescRight">Convert a point from Jacobi to Affine representation. <a href="#a484e6af5efc2042d865999dac9489684">More...</a><br /></td></tr>
<tr class="separator:a484e6af5efc2042d865999dac9489684"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a1db50d99360ed019ca4dcd2f9bcf210a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="efq2_8h.html#a1db50d99360ed019ca4dcd2f9bcf210a">EFq2Dbl</a> (<a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> *result, <a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const *in)</td></tr>
<tr class="memdesc:a1db50d99360ed019ca4dcd2f9bcf210a"><td class="mdescLeft"> </td><td class="mdescRight">Double a point in EFq2. <a href="#a1db50d99360ed019ca4dcd2f9bcf210a">More...</a><br /></td></tr>
<tr class="separator:a1db50d99360ed019ca4dcd2f9bcf210a"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a6cbfb24b20b29b2e678e259aa6c0e2db"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="efq2_8h.html#a6cbfb24b20b29b2e678e259aa6c0e2db">EFq2Add</a> (<a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> *result, <a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const *left, <a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const *right)</td></tr>
<tr class="memdesc:a6cbfb24b20b29b2e678e259aa6c0e2db"><td class="mdescLeft"> </td><td class="mdescRight">Add two points in EFq2. <a href="#a6cbfb24b20b29b2e678e259aa6c0e2db">More...</a><br /></td></tr>
<tr class="separator:a6cbfb24b20b29b2e678e259aa6c0e2db"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a977bd074ed0dec943ad0cf19a01c0cf7"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="efq2_8h.html#a977bd074ed0dec943ad0cf19a01c0cf7">EFq2Neg</a> (<a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> *result, <a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const *in)</td></tr>
<tr class="memdesc:a977bd074ed0dec943ad0cf19a01c0cf7"><td class="mdescLeft"> </td><td class="mdescRight">Negate a point on EFq2. <a href="#a977bd074ed0dec943ad0cf19a01c0cf7">More...</a><br /></td></tr>
<tr class="separator:a977bd074ed0dec943ad0cf19a01c0cf7"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a3ad678e3701e1211fa01ddc54f2bc5e4"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="efq2_8h.html#a3ad678e3701e1211fa01ddc54f2bc5e4">EFq2MulSSCM</a> (<a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> *result, <a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const *left, <a class="el" href="struct_fp_elem.html">FpElem</a> const *right)</td></tr>
<tr class="memdesc:a3ad678e3701e1211fa01ddc54f2bc5e4"><td class="mdescLeft"> </td><td class="mdescRight">Multiply two points in EFq. <a href="#a3ad678e3701e1211fa01ddc54f2bc5e4">More...</a><br /></td></tr>
<tr class="separator:a3ad678e3701e1211fa01ddc54f2bc5e4"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a2064ea9b48565a164314da4b487aaabd"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="efq2_8h.html#a2064ea9b48565a164314da4b487aaabd">EFq2Eq</a> (<a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const *left, <a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const *right)</td></tr>
<tr class="memdesc:a2064ea9b48565a164314da4b487aaabd"><td class="mdescLeft"> </td><td class="mdescRight">Test if two points on EFq2 are equal. <a href="#a2064ea9b48565a164314da4b487aaabd">More...</a><br /></td></tr>
<tr class="separator:a2064ea9b48565a164314da4b487aaabd"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a26c35eefbd1ee11a5d078c44d295ff5a"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="efq2_8h.html#a26c35eefbd1ee11a5d078c44d295ff5a">EFq2OnCurve</a> (<a class="el" href="struct_ecc_point_fq2.html">EccPointFq2</a> const *in)</td></tr>
<tr class="memdesc:a26c35eefbd1ee11a5d078c44d295ff5a"><td class="mdescLeft"> </td><td class="mdescRight">Test if a point is in EFq2. <a href="#a26c35eefbd1ee11a5d078c44d295ff5a">More...</a><br /></td></tr>
<tr class="separator:a26c35eefbd1ee11a5d078c44d295ff5a"><td class="memSeparator" colspan="2"> </td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Definition of EFq2 math. </p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a6cbfb24b20b29b2e678e259aa6c0e2db"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6cbfb24b20b29b2e678e259aa6c0e2db">◆ </a></span>EFq2Add()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
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<td class="memname">void EFq2Add </td>
<td>(</td>
<td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> * </td>
<td class="paramname"><em>result</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const * </td>
<td class="paramname"><em>left</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const * </td>
<td class="paramname"><em>right</em> </td>
</tr>
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<td></td>
<td>)</td>
<td></td><td></td>
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</div><div class="memdoc">
<p>Add two points in EFq2. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[out]</td><td class="paramname">result</td><td>of adding left and right. </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">left</td><td>The first operand to be added. </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">right</td><td>The second operand to be added. </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a1db50d99360ed019ca4dcd2f9bcf210a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1db50d99360ed019ca4dcd2f9bcf210a">◆ </a></span>EFq2Dbl()</h2>
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<td class="memname">void EFq2Dbl </td>
<td>(</td>
<td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> * </td>
<td class="paramname"><em>result</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const * </td>
<td class="paramname"><em>in</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Double a point in EFq2. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[out]</td><td class="paramname">result</td><td>target. </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>the value to double. </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a2064ea9b48565a164314da4b487aaabd"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2064ea9b48565a164314da4b487aaabd">◆ </a></span>EFq2Eq()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
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<td class="memname">int EFq2Eq </td>
<td>(</td>
<td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const * </td>
<td class="paramname"><em>left</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const * </td>
<td class="paramname"><em>right</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Test if two points on EFq2 are equal. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">left</td><td>The first operand to be tested. </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">right</td><td>The second operand to be tested. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>A value different from zero (i.e., true) if indeed the values are equal. Zero (i.e., false) otherwise. </dd></dl>
</div>
</div>
<a id="af1da3e171d605db6f5ea0a70dc01ac27"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af1da3e171d605db6f5ea0a70dc01ac27">◆ </a></span>EFq2FromAffine()</h2>
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<td class="memname">void EFq2FromAffine </td>
<td>(</td>
<td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> * </td>
<td class="paramname"><em>result</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="struct_ecc_point_fq2.html">EccPointFq2</a> const * </td>
<td class="paramname"><em>in</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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</div><div class="memdoc">
<p>Convert a point from Affine to Jacobi representation. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[out]</td><td class="paramname">result</td><td>target. </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>value to set. </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a9181b09474d800c65fd89aee2c28ebab"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9181b09474d800c65fd89aee2c28ebab">◆ </a></span>EFq2IsInf()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
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<td class="memname">int EFq2IsInf </td>
<td>(</td>
<td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const * </td>
<td class="paramname"><em>in</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Test if a point is infinity. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>the point to test. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>A value different from zero (i.e., true) indeed the value is infinity. Zero (i.e., false) otherwise. </dd></dl>
</div>
</div>
<a id="a3ad678e3701e1211fa01ddc54f2bc5e4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3ad678e3701e1211fa01ddc54f2bc5e4">◆ </a></span>EFq2MulSSCM()</h2>
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<div class="memproto">
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<td class="memname">void EFq2MulSSCM </td>
<td>(</td>
<td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> * </td>
<td class="paramname"><em>result</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const * </td>
<td class="paramname"><em>left</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="struct_fp_elem.html">FpElem</a> const * </td>
<td class="paramname"><em>right</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Multiply two points in EFq. </p>
<p>This function is mitigated against software side-channel attacks.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[out]</td><td class="paramname">result</td><td>of multiplying left and right. </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">left</td><td>The first operand to be multiplied. </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">right</td><td>The second operand to be multiplied. </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a977bd074ed0dec943ad0cf19a01c0cf7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a977bd074ed0dec943ad0cf19a01c0cf7">◆ </a></span>EFq2Neg()</h2>
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<table class="memname">
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<td class="memname">void EFq2Neg </td>
<td>(</td>
<td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> * </td>
<td class="paramname"><em>result</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const * </td>
<td class="paramname"><em>in</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Negate a point on EFq2. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[out]</td><td class="paramname">result</td><td>the negative of the element. </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>the element to negate. </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a26c35eefbd1ee11a5d078c44d295ff5a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a26c35eefbd1ee11a5d078c44d295ff5a">◆ </a></span>EFq2OnCurve()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int EFq2OnCurve </td>
<td>(</td>
<td class="paramtype"><a class="el" href="struct_ecc_point_fq2.html">EccPointFq2</a> const * </td>
<td class="paramname"><em>in</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Test if a point is in EFq2. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>the point to test. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>A value different from zero (i.e., true) indeed the point is on the curve. Zero (i.e., false) otherwise. </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a484e6af5efc2042d865999dac9489684">◆ </a></span>EFq2ToAffine()</h2>
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<td class="memname">int EFq2ToAffine </td>
<td>(</td>
<td class="paramtype"><a class="el" href="struct_ecc_point_fq2.html">EccPointFq2</a> * </td>
<td class="paramname"><em>result</em>, </td>
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<td></td>
<td class="paramtype"><a class="el" href="struct_ecc_point_jacobi_fq2.html">EccPointJacobiFq2</a> const * </td>
<td class="paramname"><em>in</em> </td>
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<p>Convert a point from Jacobi to Affine representation. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[out]</td><td class="paramname">result</td><td>target. </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>value to set. </td></tr>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>1 on success, 0 on failure </dd></dl>
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