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<a href="ecmult__gen_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/**********************************************************************</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (c) 2013, 2014 Pieter Wuille *</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * Distributed under the MIT software license, see the accompanying *</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> * file COPYING or http://www.opensource.org/licenses/mit-license.php.*</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> **********************************************************************/</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span> </div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="preprocessor">#ifndef _SECP256K1_ECMULT_GEN_</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="preprocessor">#define _SECP256K1_ECMULT_GEN_</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span> </div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="preprocessor">#include "<a class="code" href="scalar_8h.html">scalar.h</a>"</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor">#include "<a class="code" href="group_8h.html">group.h</a>"</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span> </div><div class="line"><a name="l00013"></a><span class="lineno"><a class="line" href="structsecp256k1__ecmult__gen__context.html"> 13</a></span> <span class="keyword">typedef</span> <span class="keyword">struct </span>{</div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span>  <span class="comment">/* For accelerating the computation of a*G:</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> * To harden against timing attacks, use the following mechanism:</span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> * * Break up the multiplicand into groups of 4 bits, called n_0, n_1, n_2, ..., n_63.</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> * * Compute sum(n_i * 16^i * G + U_i, i=0..63), where:</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> * * U_i = U * 2^i (for i=0..62)</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"> * * U_i = U * (1-2^63) (for i=63)</span></div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment"> * where U is a point with no known corresponding scalar. Note that sum(U_i, i=0..63) = 0.</span></div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="comment"> * For each i, and each of the 16 possible values of n_i, (n_i * 16^i * G + U_i) is</span></div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment"> * precomputed (call it prec(i, n_i)). The formula now becomes sum(prec(i, n_i), i=0..63).</span></div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment"> * None of the resulting prec group elements have a known scalar, and neither do any of</span></div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment"> * the intermediate sums while computing a*G.</span></div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment"> */</span></div><div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="structsecp256k1__ecmult__gen__context.html#ad1ebc8daeace10a8d646f89bbdf32882"> 26</a></span>  <a class="code" href="structsecp256k1__ge__storage.html">secp256k1_ge_storage</a> (*prec)[64][16]; <span class="comment">/* prec[j][i] = 16^j * i * G + U_i */</span></div><div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="structsecp256k1__ecmult__gen__context.html#af2f3064a367e86f936ab1c8b93d6f27e"> 27</a></span>  <a class="code" href="structsecp256k1__scalar.html">secp256k1_scalar</a> <a class="code" href="structsecp256k1__ecmult__gen__context.html#af2f3064a367e86f936ab1c8b93d6f27e">blind</a>;</div><div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="structsecp256k1__ecmult__gen__context.html#a1ebfe4de83e25248ea9d989d06c9b069"> 28</a></span>  <a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> <a class="code" href="structsecp256k1__ecmult__gen__context.html#a1ebfe4de83e25248ea9d989d06c9b069">initial</a>;</div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span> } <a class="code" href="structsecp256k1__ecmult__gen__context.html">secp256k1_ecmult_gen_context</a>;</div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span> </div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="ecmult__gen_8h.html#a85f9fd11a4166d3d482309317d65c276">secp256k1_ecmult_gen_context_init</a>(<a class="code" href="structsecp256k1__ecmult__gen__context.html">secp256k1_ecmult_gen_context</a>* <a class="code" href="tests_8c.html#a06a3e29ada83211a695a49e8f7405842">ctx</a>);</div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="ecmult__gen_8h.html#afaf90b2a6554053187cdc89df0dafd21">secp256k1_ecmult_gen_context_build</a>(<a class="code" href="structsecp256k1__ecmult__gen__context.html">secp256k1_ecmult_gen_context</a>* <a class="code" href="tests_8c.html#a06a3e29ada83211a695a49e8f7405842">ctx</a>, <span class="keyword">const</span> <a class="code" href="structsecp256k1__callback.html">secp256k1_callback</a>* cb);</div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="ecmult__gen_8h.html#aab03a4f94d775718656aabc6b14cfbee">secp256k1_ecmult_gen_context_clone</a>(<a class="code" href="structsecp256k1__ecmult__gen__context.html">secp256k1_ecmult_gen_context</a> *dst,</div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="keyword">const</span> <a class="code" href="structsecp256k1__ecmult__gen__context.html">secp256k1_ecmult_gen_context</a>* src, <span class="keyword">const</span> <a class="code" href="structsecp256k1__callback.html">secp256k1_callback</a>* cb);</div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="ecmult__gen_8h.html#a2832f924fc8c5c9d0540d808ccdd7072">secp256k1_ecmult_gen_context_clear</a>(<a class="code" href="structsecp256k1__ecmult__gen__context.html">secp256k1_ecmult_gen_context</a>* <a class="code" href="tests_8c.html#a06a3e29ada83211a695a49e8f7405842">ctx</a>);</div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="ecmult__gen_8h.html#a9a40662d6ed2cbab43dbddc25f570f97">secp256k1_ecmult_gen_context_is_built</a>(<span class="keyword">const</span> <a class="code" href="structsecp256k1__ecmult__gen__context.html">secp256k1_ecmult_gen_context</a>* <a class="code" href="tests_8c.html#a06a3e29ada83211a695a49e8f7405842">ctx</a>);</div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span> </div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="ecmult__gen_8h.html#a5ed744c720cbb0a397c8d4c42c637f24">secp256k1_ecmult_gen</a>(<span class="keyword">const</span> <a class="code" href="structsecp256k1__ecmult__gen__context.html">secp256k1_ecmult_gen_context</a>* <a class="code" href="tests_8c.html#a06a3e29ada83211a695a49e8f7405842">ctx</a>, <a class="code" href="structsecp256k1__gej.html">secp256k1_gej</a> *r, <span class="keyword">const</span> <a class="code" href="structsecp256k1__scalar.html">secp256k1_scalar</a> *a);</div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span> </div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="ecmult__gen_8h.html#a7e41f045cb4901a4eba781966fa35abd">secp256k1_ecmult_gen_blind</a>(<a class="code" href="structsecp256k1__ecmult__gen__context.html">secp256k1_ecmult_gen_context</a> *<a class="code" href="tests_8c.html#a06a3e29ada83211a695a49e8f7405842">ctx</a>, <span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *seed32);</div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span> </div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="preprocessor">#endif</span></div><div class="ttc" id="ecmult__gen_8h_html_a5ed744c720cbb0a397c8d4c42c637f24"><div class="ttname"><a href="ecmult__gen_8h.html#a5ed744c720cbb0a397c8d4c42c637f24">secp256k1_ecmult_gen</a></div><div class="ttdeci">static void secp256k1_ecmult_gen(const secp256k1_ecmult_gen_context *ctx, secp256k1_gej *r, const secp256k1_scalar *a)</div></div>
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<div class="ttc" id="ecmult__gen_8h_html_aab03a4f94d775718656aabc6b14cfbee"><div class="ttname"><a href="ecmult__gen_8h.html#aab03a4f94d775718656aabc6b14cfbee">secp256k1_ecmult_gen_context_clone</a></div><div class="ttdeci">static void secp256k1_ecmult_gen_context_clone(secp256k1_ecmult_gen_context *dst, const secp256k1_ecmult_gen_context *src, const secp256k1_callback *cb)</div></div>
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<div class="ttc" id="group_8h_html"><div class="ttname"><a href="group_8h.html">group.h</a></div></div>
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<div class="ttc" id="ecmult__gen_8h_html_a7e41f045cb4901a4eba781966fa35abd"><div class="ttname"><a href="ecmult__gen_8h.html#a7e41f045cb4901a4eba781966fa35abd">secp256k1_ecmult_gen_blind</a></div><div class="ttdeci">static void secp256k1_ecmult_gen_blind(secp256k1_ecmult_gen_context *ctx, const unsigned char *seed32)</div></div>
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<div class="ttc" id="structsecp256k1__gej_html"><div class="ttname"><a href="structsecp256k1__gej.html">secp256k1_gej</a></div><div class="ttdef"><b>Definition:</b> <a href="group_8h_source.html#l00024">group.h:24</a></div></div>
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<div class="ttc" id="ecmult__gen_8h_html_afaf90b2a6554053187cdc89df0dafd21"><div class="ttname"><a href="ecmult__gen_8h.html#afaf90b2a6554053187cdc89df0dafd21">secp256k1_ecmult_gen_context_build</a></div><div class="ttdeci">static void secp256k1_ecmult_gen_context_build(secp256k1_ecmult_gen_context *ctx, const secp256k1_callback *cb)</div></div>
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<div class="ttc" id="ecmult__gen_8h_html_a2832f924fc8c5c9d0540d808ccdd7072"><div class="ttname"><a href="ecmult__gen_8h.html#a2832f924fc8c5c9d0540d808ccdd7072">secp256k1_ecmult_gen_context_clear</a></div><div class="ttdeci">static void secp256k1_ecmult_gen_context_clear(secp256k1_ecmult_gen_context *ctx)</div></div>
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<div class="ttc" id="structsecp256k1__ge__storage_html"><div class="ttname"><a href="structsecp256k1__ge__storage.html">secp256k1_ge_storage</a></div><div class="ttdef"><b>Definition:</b> <a href="group_8h_source.html#l00034">group.h:34</a></div></div>
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<div class="ttc" id="structsecp256k1__ecmult__gen__context_html_af2f3064a367e86f936ab1c8b93d6f27e"><div class="ttname"><a href="structsecp256k1__ecmult__gen__context.html#af2f3064a367e86f936ab1c8b93d6f27e">secp256k1_ecmult_gen_context::blind</a></div><div class="ttdeci">secp256k1_scalar blind</div><div class="ttdef"><b>Definition:</b> <a href="ecmult__gen_8h_source.html#l00027">ecmult_gen.h:27</a></div></div>
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<div class="ttc" id="tests_8c_html_a06a3e29ada83211a695a49e8f7405842"><div class="ttname"><a href="tests_8c.html#a06a3e29ada83211a695a49e8f7405842">ctx</a></div><div class="ttdeci">static secp256k1_context * ctx</div><div class="ttdef"><b>Definition:</b> <a href="tests_8c_source.html#l00042">tests.c:42</a></div></div>
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<div class="ttc" id="scalar_8h_html"><div class="ttname"><a href="scalar_8h.html">scalar.h</a></div></div>
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<div class="ttc" id="structsecp256k1__ecmult__gen__context_html"><div class="ttname"><a href="structsecp256k1__ecmult__gen__context.html">secp256k1_ecmult_gen_context</a></div><div class="ttdef"><b>Definition:</b> <a href="ecmult__gen_8h_source.html#l00013">ecmult_gen.h:13</a></div></div>
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<div class="ttc" id="structsecp256k1__scalar_html"><div class="ttname"><a href="structsecp256k1__scalar.html">secp256k1_scalar</a></div><div class="ttdef"><b>Definition:</b> <a href="scalar__4x64_8h_source.html#l00013">scalar_4x64.h:13</a></div></div>
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<div class="ttc" id="ecmult__gen_8h_html_a85f9fd11a4166d3d482309317d65c276"><div class="ttname"><a href="ecmult__gen_8h.html#a85f9fd11a4166d3d482309317d65c276">secp256k1_ecmult_gen_context_init</a></div><div class="ttdeci">static void secp256k1_ecmult_gen_context_init(secp256k1_ecmult_gen_context *ctx)</div></div>
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<div class="ttc" id="structsecp256k1__ecmult__gen__context_html_a1ebfe4de83e25248ea9d989d06c9b069"><div class="ttname"><a href="structsecp256k1__ecmult__gen__context.html#a1ebfe4de83e25248ea9d989d06c9b069">secp256k1_ecmult_gen_context::initial</a></div><div class="ttdeci">secp256k1_gej initial</div><div class="ttdef"><b>Definition:</b> <a href="ecmult__gen_8h_source.html#l00028">ecmult_gen.h:28</a></div></div>
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<div class="ttc" id="structsecp256k1__callback_html"><div class="ttname"><a href="structsecp256k1__callback.html">secp256k1_callback</a></div><div class="ttdef"><b>Definition:</b> <a href="secp256k1_2src_2util_8h_source.html#l00018">util.h:18</a></div></div>
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<div class="ttc" id="ecmult__gen_8h_html_a9a40662d6ed2cbab43dbddc25f570f97"><div class="ttname"><a href="ecmult__gen_8h.html#a9a40662d6ed2cbab43dbddc25f570f97">secp256k1_ecmult_gen_context_is_built</a></div><div class="ttdeci">static int secp256k1_ecmult_gen_context_is_built(const secp256k1_ecmult_gen_context *ctx)</div></div>
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<img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.14 </li>
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