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<div class="textblock"><code>#include &quot;<a class="el" href="scalar_8h_source.html">scalar.h</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="group_8h_source.html">group.h</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="ecmult__const_8h_source.html">ecmult_const.h</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="ecmult__impl_8h_source.html">ecmult_impl.h</a>&quot;</code><br />
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<p><a href="ecmult__const__impl_8h_source.html">Go to the source code of this file.</a></p>
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Macros</h2></td></tr>
<tr class="memitem:a7ca5efdae3396a6261bcc836e4a32739"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecmult__const__impl_8h.html#a7ca5efdae3396a6261bcc836e4a32739">WNAF_BITS</a>&#160;&#160;&#160;256</td></tr>
<tr class="separator:a7ca5efdae3396a6261bcc836e4a32739"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a23d9fb349265ae338b9977f7f7aab065"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecmult__const__impl_8h.html#a23d9fb349265ae338b9977f7f7aab065">WNAF_SIZE</a>(w)&#160;&#160;&#160;((<a class="el" href="ecmult__const__impl_8h.html#a7ca5efdae3396a6261bcc836e4a32739">WNAF_BITS</a> + (w) - 1) / (w))</td></tr>
<tr class="separator:a23d9fb349265ae338b9977f7f7aab065"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a541e7c0e2d2f68e2b1b03729d93b4ca7"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecmult__const__impl_8h.html#a541e7c0e2d2f68e2b1b03729d93b4ca7">ECMULT_CONST_TABLE_GET_GE</a>(r, pre, n, w)</td></tr>
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Functions</h2></td></tr>
<tr class="memitem:ac252ac4f8c905ddc178ce056bd45b8ec"><td class="memItemLeft" align="right" valign="top">static int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecmult__const__impl_8h.html#ac252ac4f8c905ddc178ce056bd45b8ec">secp256k1_wnaf_const</a> (int *wnaf, <a class="el" href="structsecp256k1__scalar.html">secp256k1_scalar</a> s, int w)</td></tr>
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<tr class="memitem:a89f4e02fa2a4630ae0c5e302457f7931"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="ecmult__const__impl_8h.html#a89f4e02fa2a4630ae0c5e302457f7931">secp256k1_ecmult_const</a> (<a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *r, const <a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *a, const <a class="el" href="structsecp256k1__scalar.html">secp256k1_scalar</a> *scalar)</td></tr>
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<h2 class="groupheader">Macro Definition Documentation</h2>
<a id="a541e7c0e2d2f68e2b1b03729d93b4ca7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a541e7c0e2d2f68e2b1b03729d93b4ca7">&#9670;&nbsp;</a></span>ECMULT_CONST_TABLE_GET_GE</h2>
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<td class="memname">#define ECMULT_CONST_TABLE_GET_GE</td>
<td>(</td>
<td class="paramtype">&#160;</td>
<td class="paramname">r, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">&#160;</td>
<td class="paramname">pre, </td>
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<td class="paramtype">&#160;</td>
<td class="paramname">n, </td>
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<td class="paramtype">&#160;</td>
<td class="paramname">w&#160;</td>
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<b>Value:</b><div class="fragment"><div class="line"><span class="keywordflow">do</span> { \</div><div class="line"> int <a class="code" href="namespacelinearize-data.html#af01cfbce273b138c21938509627f15aa">m</a>; \</div><div class="line"> int abs_n = (<a class="code" href="namespacefix-copyright-headers.html#aed10e06fbf20b2e50f73ff2d61f59e45">n</a>) * (((<a class="code" href="namespacefix-copyright-headers.html#aed10e06fbf20b2e50f73ff2d61f59e45">n</a>) &gt; 0) * 2 - 1); \</div><div class="line"> int idx_n = abs_n / 2; \</div><div class="line"> secp256k1_fe neg_y; \</div><div class="line"> VERIFY_CHECK(((<a class="code" href="namespacefix-copyright-headers.html#aed10e06fbf20b2e50f73ff2d61f59e45">n</a>) &amp; 1) == 1); \</div><div class="line"> VERIFY_CHECK((<a class="code" href="namespacefix-copyright-headers.html#aed10e06fbf20b2e50f73ff2d61f59e45">n</a>) &gt;= -((1 &lt;&lt; ((w)-1)) - 1)); \</div><div class="line"> VERIFY_CHECK((<a class="code" href="namespacefix-copyright-headers.html#aed10e06fbf20b2e50f73ff2d61f59e45">n</a>) &lt;= ((1 &lt;&lt; ((w)-1)) - 1)); \</div><div class="line"> VERIFY_SETUP(<a class="code" href="field__10x26__impl_8h.html#aa213f05a02544f894a8829f672b6e4ea">secp256k1_fe_clear</a>(&amp;(r)-&gt;x)); \</div><div class="line"> VERIFY_SETUP(<a class="code" href="field__10x26__impl_8h.html#aa213f05a02544f894a8829f672b6e4ea">secp256k1_fe_clear</a>(&amp;(r)-&gt;y)); \</div><div class="line"> for (<a class="code" href="namespacelinearize-data.html#af01cfbce273b138c21938509627f15aa">m</a> = 0; <a class="code" href="namespacelinearize-data.html#af01cfbce273b138c21938509627f15aa">m</a> &lt; <a class="code" href="ecmult__impl_8h.html#a97c6c6e5aa98f202eec77c4c931e02f1">ECMULT_TABLE_SIZE</a>(w); <a class="code" href="namespacelinearize-data.html#af01cfbce273b138c21938509627f15aa">m</a>++) { \</div><div class="line"> <span class="comment">/* This loop is used to avoid secret data in array indices. See</span></div><div class="line"><span class="comment"> * the comment in ecmult_gen_impl.h for rationale. */</span> \</div><div class="line"> secp256k1_fe_cmov(&amp;(r)-&gt;x, &amp;(pre)[<a class="code" href="namespacelinearize-data.html#af01cfbce273b138c21938509627f15aa">m</a>].x, <a class="code" href="namespacelinearize-data.html#af01cfbce273b138c21938509627f15aa">m</a> == idx_n); \</div><div class="line"> secp256k1_fe_cmov(&amp;(r)-&gt;y, &amp;(pre)[<a class="code" href="namespacelinearize-data.html#af01cfbce273b138c21938509627f15aa">m</a>].y, <a class="code" href="namespacelinearize-data.html#af01cfbce273b138c21938509627f15aa">m</a> == idx_n); \</div><div class="line"> } \</div><div class="line"> (r)-&gt;infinity = 0; \</div><div class="line"> secp256k1_fe_negate(&amp;neg_y, &amp;(r)-&gt;y, 1); \</div><div class="line"> secp256k1_fe_cmov(&amp;(r)-&gt;y, &amp;neg_y, (<a class="code" href="namespacefix-copyright-headers.html#aed10e06fbf20b2e50f73ff2d61f59e45">n</a>) != abs_n); \</div><div class="line">} <span class="keywordflow">while</span>(0)</div><div class="ttc" id="field__10x26__impl_8h_html_aa213f05a02544f894a8829f672b6e4ea"><div class="ttname"><a href="field__10x26__impl_8h.html#aa213f05a02544f894a8829f672b6e4ea">secp256k1_fe_clear</a></div><div class="ttdeci">static SECP256K1_INLINE void secp256k1_fe_clear(secp256k1_fe *a)</div><div class="ttdef"><b>Definition:</b> <a href="field__10x26__impl_8h_source.html#l00299">field_10x26_impl.h:299</a></div></div>
<div class="ttc" id="ecmult__impl_8h_html_a97c6c6e5aa98f202eec77c4c931e02f1"><div class="ttname"><a href="ecmult__impl_8h.html#a97c6c6e5aa98f202eec77c4c931e02f1">ECMULT_TABLE_SIZE</a></div><div class="ttdeci">#define ECMULT_TABLE_SIZE(w)</div><div class="ttdef"><b>Definition:</b> <a href="ecmult__impl_8h_source.html#l00028">ecmult_impl.h:28</a></div></div>
<div class="ttc" id="namespacelinearize-data_html_af01cfbce273b138c21938509627f15aa"><div class="ttname"><a href="namespacelinearize-data.html#af01cfbce273b138c21938509627f15aa">linearize-data.m</a></div><div class="ttdeci">m</div><div class="ttdef"><b>Definition:</b> <a href="linearize-data_8py_source.html#l00260">linearize-data.py:260</a></div></div>
<div class="ttc" id="namespacefix-copyright-headers_html_aed10e06fbf20b2e50f73ff2d61f59e45"><div class="ttname"><a href="namespacefix-copyright-headers.html#aed10e06fbf20b2e50f73ff2d61f59e45">fix-copyright-headers.n</a></div><div class="ttdeci">int n</div><div class="ttdef"><b>Definition:</b> <a href="fix-copyright-headers_8py_source.html#l00046">fix-copyright-headers.py:46</a></div></div>
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<p class="definition">Definition at line <a class="el" href="ecmult__const__impl_8h_source.html#l00023">23</a> of file <a class="el" href="ecmult__const__impl_8h_source.html">ecmult_const_impl.h</a>.</p>
<p class="reference">Referenced by <a class="el" href="ecmult__const__impl_8h_source.html#l00125">secp256k1_ecmult_const()</a>.</p>
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<a id="a7ca5efdae3396a6261bcc836e4a32739"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7ca5efdae3396a6261bcc836e4a32739">&#9670;&nbsp;</a></span>WNAF_BITS</h2>
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<td class="memname">#define WNAF_BITS&#160;&#160;&#160;256</td>
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<p class="definition">Definition at line <a class="el" href="ecmult__const__impl_8h_source.html#l00018">18</a> of file <a class="el" href="ecmult__const__impl_8h_source.html">ecmult_const_impl.h</a>.</p>
<p class="reference">Referenced by <a class="el" href="ecmult__const__impl_8h_source.html#l00057">secp256k1_wnaf_const()</a>.</p>
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<a id="a23d9fb349265ae338b9977f7f7aab065"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a23d9fb349265ae338b9977f7f7aab065">&#9670;&nbsp;</a></span>WNAF_SIZE</h2>
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<td class="memname">#define WNAF_SIZE</td>
<td>(</td>
<td class="paramtype">&#160;</td>
<td class="paramname">w</td><td>)</td>
<td>&#160;&#160;&#160;((<a class="el" href="ecmult__const__impl_8h.html#a7ca5efdae3396a6261bcc836e4a32739">WNAF_BITS</a> + (w) - 1) / (w))</td>
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<p class="definition">Definition at line <a class="el" href="ecmult__const__impl_8h_source.html#l00020">20</a> of file <a class="el" href="ecmult__const__impl_8h_source.html">ecmult_const_impl.h</a>.</p>
<p class="reference">Referenced by <a class="el" href="ecmult__const__impl_8h_source.html#l00125">secp256k1_ecmult_const()</a>, <a class="el" href="ecmult__const__impl_8h_source.html#l00057">secp256k1_wnaf_const()</a>, and <a class="el" href="tests_8c_source.html#l02382">test_constant_wnaf()</a>.</p>
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<h2 class="groupheader">Function Documentation</h2>
<a id="a89f4e02fa2a4630ae0c5e302457f7931"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a89f4e02fa2a4630ae0c5e302457f7931">&#9670;&nbsp;</a></span>secp256k1_ecmult_const()</h2>
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<td class="memname">static void secp256k1_ecmult_const </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structsecp256k1__gej.html">secp256k1_gej</a> *&#160;</td>
<td class="paramname"><em>r</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structsecp256k1__ge.html">secp256k1_ge</a> *&#160;</td>
<td class="paramname"><em>a</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">const <a class="el" href="structsecp256k1__scalar.html">secp256k1_scalar</a> *&#160;</td>
<td class="paramname"><em>scalar</em>&#160;</td>
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<td>)</td>
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<p class="definition">Definition at line <a class="el" href="ecmult__const__impl_8h_source.html#l00125">125</a> of file <a class="el" href="ecmult__const__impl_8h_source.html">ecmult_const_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ac252ac4f8c905ddc178ce056bd45b8ec">&#9670;&nbsp;</a></span>secp256k1_wnaf_const()</h2>
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<td class="memname">static int secp256k1_wnaf_const </td>
<td>(</td>
<td class="paramtype">int *&#160;</td>
<td class="paramname"><em>wnaf</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype"><a class="el" href="structsecp256k1__scalar.html">secp256k1_scalar</a>&#160;</td>
<td class="paramname"><em>s</em>, </td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>w</em>&#160;</td>
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<p>Convert a number to WNAF notation. The number becomes represented by sum(2^{wi} * wnaf[i], i=0..return_val) with the following guarantees:</p><ul>
<li>each wnaf[i] an odd integer between -(1 &lt;&lt; w) and (1 &lt;&lt; w)</li>
<li>each wnaf[i] is nonzero</li>
<li>the number of words set is returned; this is always (WNAF_BITS + w - 1) / w</li>
</ul>
<p>Adapted from <code>The Width-w NAF Method Provides Small Memory and Fast Elliptic Scalar Multiplications Secure against Side Channel Attacks</code>, Okeya and Tagaki. M. Joye (Ed.) CT-RSA 2003, LNCS 2612, pp. 328-443, 2003. Springer-Verlagy Berlin Heidelberg 2003</p>
<p>Numbers reference steps of <code>Algorithm SPA-resistant Width-w NAF with Odd Scalar</code> on pp. 335 </p>
<p class="definition">Definition at line <a class="el" href="ecmult__const__impl_8h_source.html#l00057">57</a> of file <a class="el" href="ecmult__const__impl_8h_source.html">ecmult_const_impl.h</a>.</p>
<p class="reference">Referenced by <a class="el" href="bench__internal_8c_source.html#l00240">bench_wnaf_const()</a>, <a class="el" href="ecmult__const__impl_8h_source.html#l00125">secp256k1_ecmult_const()</a>, and <a class="el" href="tests_8c_source.html#l02382">test_constant_wnaf()</a>.</p>
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