| <!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Source of the Rust file `/root/.cargo/git/checkouts/incubator-teaclave-crates-c8106113f74feefc/ede1f68/ring/src/ec/suite_b/ops/p384.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>p384.rs - source</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../../SourceSerif4-Regular.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../../FiraSans-Regular.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../../FiraSans-Medium.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../../SourceCodePro-Regular.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../../SourceSerif4-Bold.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../../SourceCodePro-Semibold.ttf.woff2"><link rel="stylesheet" href="../../../../../normalize.css"><link rel="stylesheet" href="../../../../../rustdoc.css" id="mainThemeStyle"><link rel="stylesheet" href="../../../../../ayu.css" disabled><link rel="stylesheet" href="../../../../../dark.css" disabled><link rel="stylesheet" href="../../../../../light.css" id="themeStyle"><script id="default-settings" ></script><script src="../../../../../storage.js"></script><script defer src="../../../../../source-script.js"></script><script defer src="../../../../../source-files.js"></script><script defer src="../../../../../main.js"></script><noscript><link rel="stylesheet" href="../../../../../noscript.css"></noscript><link rel="alternate icon" type="image/png" href="../../../../../favicon-16x16.png"><link rel="alternate icon" type="image/png" href="../../../../../favicon-32x32.png"><link rel="icon" type="image/svg+xml" href="../../../../../favicon.svg"></head><body class="rustdoc source"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="sidebar"><a class="sidebar-logo" href="../../../../../ring/index.html"><div class="logo-container"><img class="rust-logo" src="../../../../../rust-logo.svg" alt="logo"></div></a></nav><main><div class="width-limiter"><nav class="sub"><a class="sub-logo-container" href="../../../../../ring/index.html"><img class="rust-logo" src="../../../../../rust-logo.svg" alt="logo"></a><form class="search-form"><div class="search-container"><span></span><input class="search-input" name="search" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../../../wheel.svg"></a></div></div></form></nav><section id="main-content" class="content"><div class="example-wrap"><pre class="src-line-numbers"><span id="1">1</span> |
| <span id="2">2</span> |
| <span id="3">3</span> |
| <span id="4">4</span> |
| <span id="5">5</span> |
| <span id="6">6</span> |
| <span id="7">7</span> |
| <span id="8">8</span> |
| <span id="9">9</span> |
| <span id="10">10</span> |
| <span id="11">11</span> |
| <span id="12">12</span> |
| <span id="13">13</span> |
| <span id="14">14</span> |
| <span id="15">15</span> |
| <span id="16">16</span> |
| <span id="17">17</span> |
| <span id="18">18</span> |
| <span id="19">19</span> |
| <span id="20">20</span> |
| <span id="21">21</span> |
| <span id="22">22</span> |
| <span id="23">23</span> |
| <span id="24">24</span> |
| <span id="25">25</span> |
| <span id="26">26</span> |
| <span id="27">27</span> |
| <span id="28">28</span> |
| <span id="29">29</span> |
| <span id="30">30</span> |
| <span id="31">31</span> |
| <span id="32">32</span> |
| <span id="33">33</span> |
| <span id="34">34</span> |
| <span id="35">35</span> |
| <span id="36">36</span> |
| <span id="37">37</span> |
| <span id="38">38</span> |
| <span id="39">39</span> |
| <span id="40">40</span> |
| <span id="41">41</span> |
| <span id="42">42</span> |
| <span id="43">43</span> |
| <span id="44">44</span> |
| <span id="45">45</span> |
| <span id="46">46</span> |
| <span id="47">47</span> |
| <span id="48">48</span> |
| <span id="49">49</span> |
| <span id="50">50</span> |
| <span id="51">51</span> |
| <span id="52">52</span> |
| <span id="53">53</span> |
| <span id="54">54</span> |
| <span id="55">55</span> |
| <span id="56">56</span> |
| <span id="57">57</span> |
| <span id="58">58</span> |
| <span id="59">59</span> |
| <span id="60">60</span> |
| <span id="61">61</span> |
| <span id="62">62</span> |
| <span id="63">63</span> |
| <span id="64">64</span> |
| <span id="65">65</span> |
| <span id="66">66</span> |
| <span id="67">67</span> |
| <span id="68">68</span> |
| <span id="69">69</span> |
| <span id="70">70</span> |
| <span id="71">71</span> |
| <span id="72">72</span> |
| <span id="73">73</span> |
| <span id="74">74</span> |
| <span id="75">75</span> |
| <span id="76">76</span> |
| <span id="77">77</span> |
| <span id="78">78</span> |
| <span id="79">79</span> |
| <span id="80">80</span> |
| <span id="81">81</span> |
| <span id="82">82</span> |
| <span id="83">83</span> |
| <span id="84">84</span> |
| <span id="85">85</span> |
| <span id="86">86</span> |
| <span id="87">87</span> |
| <span id="88">88</span> |
| <span id="89">89</span> |
| <span id="90">90</span> |
| <span id="91">91</span> |
| <span id="92">92</span> |
| <span id="93">93</span> |
| <span id="94">94</span> |
| <span id="95">95</span> |
| <span id="96">96</span> |
| <span id="97">97</span> |
| <span id="98">98</span> |
| <span id="99">99</span> |
| <span id="100">100</span> |
| <span id="101">101</span> |
| <span id="102">102</span> |
| <span id="103">103</span> |
| <span id="104">104</span> |
| <span id="105">105</span> |
| <span id="106">106</span> |
| <span id="107">107</span> |
| <span id="108">108</span> |
| <span id="109">109</span> |
| <span id="110">110</span> |
| <span id="111">111</span> |
| <span id="112">112</span> |
| <span id="113">113</span> |
| <span id="114">114</span> |
| <span id="115">115</span> |
| <span id="116">116</span> |
| <span id="117">117</span> |
| <span id="118">118</span> |
| <span id="119">119</span> |
| <span id="120">120</span> |
| <span id="121">121</span> |
| <span id="122">122</span> |
| <span id="123">123</span> |
| <span id="124">124</span> |
| <span id="125">125</span> |
| <span id="126">126</span> |
| <span id="127">127</span> |
| <span id="128">128</span> |
| <span id="129">129</span> |
| <span id="130">130</span> |
| <span id="131">131</span> |
| <span id="132">132</span> |
| <span id="133">133</span> |
| <span id="134">134</span> |
| <span id="135">135</span> |
| <span id="136">136</span> |
| <span id="137">137</span> |
| <span id="138">138</span> |
| <span id="139">139</span> |
| <span id="140">140</span> |
| <span id="141">141</span> |
| <span id="142">142</span> |
| <span id="143">143</span> |
| <span id="144">144</span> |
| <span id="145">145</span> |
| <span id="146">146</span> |
| <span id="147">147</span> |
| <span id="148">148</span> |
| <span id="149">149</span> |
| <span id="150">150</span> |
| <span id="151">151</span> |
| <span id="152">152</span> |
| <span id="153">153</span> |
| <span id="154">154</span> |
| <span id="155">155</span> |
| <span id="156">156</span> |
| <span id="157">157</span> |
| <span id="158">158</span> |
| <span id="159">159</span> |
| <span id="160">160</span> |
| <span id="161">161</span> |
| <span id="162">162</span> |
| <span id="163">163</span> |
| <span id="164">164</span> |
| <span id="165">165</span> |
| <span id="166">166</span> |
| <span id="167">167</span> |
| <span id="168">168</span> |
| <span id="169">169</span> |
| <span id="170">170</span> |
| <span id="171">171</span> |
| <span id="172">172</span> |
| <span id="173">173</span> |
| <span id="174">174</span> |
| <span id="175">175</span> |
| <span id="176">176</span> |
| <span id="177">177</span> |
| <span id="178">178</span> |
| <span id="179">179</span> |
| <span id="180">180</span> |
| <span id="181">181</span> |
| <span id="182">182</span> |
| <span id="183">183</span> |
| <span id="184">184</span> |
| <span id="185">185</span> |
| <span id="186">186</span> |
| <span id="187">187</span> |
| <span id="188">188</span> |
| <span id="189">189</span> |
| <span id="190">190</span> |
| <span id="191">191</span> |
| <span id="192">192</span> |
| <span id="193">193</span> |
| <span id="194">194</span> |
| <span id="195">195</span> |
| <span id="196">196</span> |
| <span id="197">197</span> |
| <span id="198">198</span> |
| <span id="199">199</span> |
| <span id="200">200</span> |
| <span id="201">201</span> |
| <span id="202">202</span> |
| <span id="203">203</span> |
| <span id="204">204</span> |
| <span id="205">205</span> |
| <span id="206">206</span> |
| <span id="207">207</span> |
| <span id="208">208</span> |
| <span id="209">209</span> |
| <span id="210">210</span> |
| <span id="211">211</span> |
| <span id="212">212</span> |
| <span id="213">213</span> |
| <span id="214">214</span> |
| <span id="215">215</span> |
| <span id="216">216</span> |
| <span id="217">217</span> |
| <span id="218">218</span> |
| <span id="219">219</span> |
| <span id="220">220</span> |
| <span id="221">221</span> |
| <span id="222">222</span> |
| <span id="223">223</span> |
| <span id="224">224</span> |
| <span id="225">225</span> |
| <span id="226">226</span> |
| <span id="227">227</span> |
| <span id="228">228</span> |
| <span id="229">229</span> |
| <span id="230">230</span> |
| <span id="231">231</span> |
| <span id="232">232</span> |
| <span id="233">233</span> |
| <span id="234">234</span> |
| <span id="235">235</span> |
| <span id="236">236</span> |
| <span id="237">237</span> |
| <span id="238">238</span> |
| <span id="239">239</span> |
| <span id="240">240</span> |
| <span id="241">241</span> |
| <span id="242">242</span> |
| <span id="243">243</span> |
| <span id="244">244</span> |
| <span id="245">245</span> |
| <span id="246">246</span> |
| <span id="247">247</span> |
| <span id="248">248</span> |
| <span id="249">249</span> |
| <span id="250">250</span> |
| <span id="251">251</span> |
| <span id="252">252</span> |
| <span id="253">253</span> |
| <span id="254">254</span> |
| <span id="255">255</span> |
| <span id="256">256</span> |
| <span id="257">257</span> |
| <span id="258">258</span> |
| <span id="259">259</span> |
| <span id="260">260</span> |
| <span id="261">261</span> |
| <span id="262">262</span> |
| <span id="263">263</span> |
| <span id="264">264</span> |
| <span id="265">265</span> |
| <span id="266">266</span> |
| <span id="267">267</span> |
| <span id="268">268</span> |
| <span id="269">269</span> |
| <span id="270">270</span> |
| <span id="271">271</span> |
| <span id="272">272</span> |
| <span id="273">273</span> |
| <span id="274">274</span> |
| <span id="275">275</span> |
| <span id="276">276</span> |
| <span id="277">277</span> |
| <span id="278">278</span> |
| <span id="279">279</span> |
| <span id="280">280</span> |
| <span id="281">281</span> |
| <span id="282">282</span> |
| <span id="283">283</span> |
| <span id="284">284</span> |
| <span id="285">285</span> |
| <span id="286">286</span> |
| <span id="287">287</span> |
| <span id="288">288</span> |
| <span id="289">289</span> |
| <span id="290">290</span> |
| <span id="291">291</span> |
| <span id="292">292</span> |
| <span id="293">293</span> |
| <span id="294">294</span> |
| <span id="295">295</span> |
| <span id="296">296</span> |
| <span id="297">297</span> |
| <span id="298">298</span> |
| <span id="299">299</span> |
| <span id="300">300</span> |
| <span id="301">301</span> |
| <span id="302">302</span> |
| <span id="303">303</span> |
| <span id="304">304</span> |
| <span id="305">305</span> |
| <span id="306">306</span> |
| <span id="307">307</span> |
| <span id="308">308</span> |
| <span id="309">309</span> |
| <span id="310">310</span> |
| <span id="311">311</span> |
| <span id="312">312</span> |
| <span id="313">313</span> |
| <span id="314">314</span> |
| <span id="315">315</span> |
| <span id="316">316</span> |
| <span id="317">317</span> |
| <span id="318">318</span> |
| <span id="319">319</span> |
| <span id="320">320</span> |
| <span id="321">321</span> |
| <span id="322">322</span> |
| <span id="323">323</span> |
| <span id="324">324</span> |
| <span id="325">325</span> |
| <span id="326">326</span> |
| <span id="327">327</span> |
| <span id="328">328</span> |
| <span id="329">329</span> |
| <span id="330">330</span> |
| <span id="331">331</span> |
| <span id="332">332</span> |
| <span id="333">333</span> |
| <span id="334">334</span> |
| <span id="335">335</span> |
| <span id="336">336</span> |
| <span id="337">337</span> |
| <span id="338">338</span> |
| <span id="339">339</span> |
| <span id="340">340</span> |
| <span id="341">341</span> |
| <span id="342">342</span> |
| <span id="343">343</span> |
| <span id="344">344</span> |
| <span id="345">345</span> |
| <span id="346">346</span> |
| <span id="347">347</span> |
| <span id="348">348</span> |
| <span id="349">349</span> |
| <span id="350">350</span> |
| <span id="351">351</span> |
| <span id="352">352</span> |
| <span id="353">353</span> |
| <span id="354">354</span> |
| <span id="355">355</span> |
| <span id="356">356</span> |
| <span id="357">357</span> |
| <span id="358">358</span> |
| <span id="359">359</span> |
| <span id="360">360</span> |
| <span id="361">361</span> |
| <span id="362">362</span> |
| <span id="363">363</span> |
| <span id="364">364</span> |
| <span id="365">365</span> |
| <span id="366">366</span> |
| <span id="367">367</span> |
| <span id="368">368</span> |
| <span id="369">369</span> |
| <span id="370">370</span> |
| </pre><pre class="rust"><code><span class="comment">// Copyright 2016 Brian Smith. |
| // |
| // Permission to use, copy, modify, and/or distribute this software for any |
| // purpose with or without fee is hereby granted, provided that the above |
| // copyright notice and this permission notice appear in all copies. |
| // |
| // THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHORS DISCLAIM ALL WARRANTIES |
| // WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF |
| // MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHORS BE LIABLE FOR ANY |
| // SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES |
| // WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION |
| // OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN |
| // CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. |
| |
| </span><span class="kw">use super</span>::{ |
| elem::{binary_op, binary_op_assign}, |
| elem_sqr_mul, elem_sqr_mul_acc, Modulus, <span class="kw-2">*</span>, |
| }; |
| <span class="kw">use </span>core::marker::PhantomData; |
| |
| <span class="macro">macro_rules! </span>p384_limbs { |
| [$(<span class="macro-nonterminal">$limb</span>:expr),+] => { |
| <span class="macro">limbs!</span>[$(<span class="macro-nonterminal">$limb</span>),+] |
| }; |
| } |
| |
| <span class="kw">pub static </span>COMMON_OPS: CommonOps = CommonOps { |
| num_limbs: <span class="number">384 </span>/ LIMB_BITS, |
| |
| q: Modulus { |
| p: <span class="macro">p384_limbs!</span>[ |
| <span class="number">0xffffffff</span>, <span class="number">0x00000000</span>, <span class="number">0x00000000</span>, <span class="number">0xffffffff</span>, <span class="number">0xfffffffe</span>, <span class="number">0xffffffff</span>, <span class="number">0xffffffff</span>, |
| <span class="number">0xffffffff</span>, <span class="number">0xffffffff</span>, <span class="number">0xffffffff</span>, <span class="number">0xffffffff</span>, <span class="number">0xffffffff |
| </span>], |
| rr: <span class="macro">p384_limbs!</span>[<span class="number">1</span>, <span class="number">0xfffffffe</span>, <span class="number">0</span>, <span class="number">2</span>, <span class="number">0</span>, <span class="number">0xfffffffe</span>, <span class="number">0</span>, <span class="number">2</span>, <span class="number">1</span>, <span class="number">0</span>, <span class="number">0</span>, <span class="number">0</span>], |
| }, |
| n: Elem { |
| limbs: <span class="macro">p384_limbs!</span>[ |
| <span class="number">0xccc52973</span>, <span class="number">0xecec196a</span>, <span class="number">0x48b0a77a</span>, <span class="number">0x581a0db2</span>, <span class="number">0xf4372ddf</span>, <span class="number">0xc7634d81</span>, <span class="number">0xffffffff</span>, |
| <span class="number">0xffffffff</span>, <span class="number">0xffffffff</span>, <span class="number">0xffffffff</span>, <span class="number">0xffffffff</span>, <span class="number">0xffffffff |
| </span>], |
| m: PhantomData, |
| encoding: PhantomData, <span class="comment">// Unencoded |
| </span>}, |
| |
| a: Elem { |
| limbs: <span class="macro">p384_limbs!</span>[ |
| <span class="number">0xfffffffc</span>, <span class="number">0x00000003</span>, <span class="number">0x00000000</span>, <span class="number">0xfffffffc</span>, <span class="number">0xfffffffb</span>, <span class="number">0xffffffff</span>, <span class="number">0xffffffff</span>, |
| <span class="number">0xffffffff</span>, <span class="number">0xffffffff</span>, <span class="number">0xffffffff</span>, <span class="number">0xffffffff</span>, <span class="number">0xffffffff |
| </span>], |
| m: PhantomData, |
| encoding: PhantomData, <span class="comment">// Unreduced |
| </span>}, |
| b: Elem { |
| limbs: <span class="macro">p384_limbs!</span>[ |
| <span class="number">0x9d412dcc</span>, <span class="number">0x08118871</span>, <span class="number">0x7a4c32ec</span>, <span class="number">0xf729add8</span>, <span class="number">0x1920022e</span>, <span class="number">0x77f2209b</span>, <span class="number">0x94938ae2</span>, |
| <span class="number">0xe3374bee</span>, <span class="number">0x1f022094</span>, <span class="number">0xb62b21f4</span>, <span class="number">0x604fbff9</span>, <span class="number">0xcd08114b |
| </span>], |
| m: PhantomData, |
| encoding: PhantomData, <span class="comment">// Unreduced |
| </span>}, |
| |
| elem_add_impl: GFp_p384_elem_add, |
| elem_mul_mont: GFp_p384_elem_mul_mont, |
| elem_sqr_mont: GFp_p384_elem_sqr_mont, |
| |
| point_add_jacobian_impl: GFp_nistz384_point_add, |
| }; |
| |
| <span class="kw">pub static </span>PRIVATE_KEY_OPS: PrivateKeyOps = PrivateKeyOps { |
| common: <span class="kw-2">&</span>COMMON_OPS, |
| elem_inv_squared: p384_elem_inv_squared, |
| point_mul_base_impl: p384_point_mul_base_impl, |
| point_mul_impl: GFp_nistz384_point_mul, |
| }; |
| |
| <span class="kw">fn </span>p384_elem_inv_squared(a: <span class="kw-2">&</span>Elem<R>) -> Elem<R> { |
| <span class="comment">// Calculate a**-2 (mod q) == a**(q - 3) (mod q) |
| // |
| // The exponent (q - 3) is: |
| // |
| // 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe\ |
| // ffffffff0000000000000000fffffffc |
| |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">fn </span>sqr_mul(a: <span class="kw-2">&</span>Elem<R>, squarings: usize, b: <span class="kw-2">&</span>Elem<R>) -> Elem<R> { |
| elem_sqr_mul(<span class="kw-2">&</span>COMMON_OPS, a, squarings, b) |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>sqr_mul_acc(a: <span class="kw-2">&mut </span>Elem<R>, squarings: usize, b: <span class="kw-2">&</span>Elem<R>) { |
| elem_sqr_mul_acc(<span class="kw-2">&</span>COMMON_OPS, a, squarings, b) |
| } |
| |
| <span class="kw">let </span>b_1 = <span class="kw-2">&</span>a; |
| <span class="kw">let </span>b_11 = sqr_mul(b_1, <span class="number">1</span>, b_1); |
| <span class="kw">let </span>b_111 = sqr_mul(<span class="kw-2">&</span>b_11, <span class="number">1</span>, b_1); |
| <span class="kw">let </span>f_11 = sqr_mul(<span class="kw-2">&</span>b_111, <span class="number">3</span>, <span class="kw-2">&</span>b_111); |
| <span class="kw">let </span>fff = sqr_mul(<span class="kw-2">&</span>f_11, <span class="number">6</span>, <span class="kw-2">&</span>f_11); |
| <span class="kw">let </span>fff_111 = sqr_mul(<span class="kw-2">&</span>fff, <span class="number">3</span>, <span class="kw-2">&</span>b_111); |
| <span class="kw">let </span>fffffff_11 = sqr_mul(<span class="kw-2">&</span>fff_111, <span class="number">15</span>, <span class="kw-2">&</span>fff_111); |
| |
| <span class="kw">let </span>fffffffffffffff = sqr_mul(<span class="kw-2">&</span>fffffff_11, <span class="number">30</span>, <span class="kw-2">&</span>fffffff_11); |
| |
| <span class="kw">let </span>ffffffffffffffffffffffffffffff = sqr_mul(<span class="kw-2">&</span>fffffffffffffff, <span class="number">60</span>, <span class="kw-2">&</span>fffffffffffffff); |
| |
| <span class="comment">// ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff |
| </span><span class="kw">let </span><span class="kw-2">mut </span>acc = sqr_mul( |
| <span class="kw-2">&</span>ffffffffffffffffffffffffffffff, |
| <span class="number">120</span>, |
| <span class="kw-2">&</span>ffffffffffffffffffffffffffffff, |
| ); |
| |
| <span class="comment">// fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff_111 |
| </span>sqr_mul_acc(<span class="kw-2">&mut </span>acc, <span class="number">15</span>, <span class="kw-2">&</span>fff_111); |
| |
| <span class="comment">// fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff |
| </span>sqr_mul_acc(<span class="kw-2">&mut </span>acc, <span class="number">1 </span>+ <span class="number">30</span>, <span class="kw-2">&</span>fffffff_11); |
| sqr_mul_acc(<span class="kw-2">&mut </span>acc, <span class="number">2</span>, <span class="kw-2">&</span>b_11); |
| |
| <span class="comment">// fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff |
| // 0000000000000000fffffff_11 |
| </span>sqr_mul_acc(<span class="kw-2">&mut </span>acc, <span class="number">64 </span>+ <span class="number">30</span>, <span class="kw-2">&</span>fffffff_11); |
| |
| <span class="comment">// fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff |
| // 0000000000000000fffffffc |
| </span>COMMON_OPS.elem_square(<span class="kw-2">&mut </span>acc); |
| COMMON_OPS.elem_square(<span class="kw-2">&mut </span>acc); |
| |
| acc |
| } |
| |
| <span class="kw">fn </span>p384_point_mul_base_impl(a: <span class="kw-2">&</span>Scalar) -> Point { |
| <span class="comment">// XXX: Not efficient. TODO: Precompute multiples of the generator. |
| </span><span class="kw">static </span>GENERATOR: (Elem<R>, Elem<R>) = ( |
| Elem { |
| limbs: <span class="macro">p384_limbs!</span>[ |
| <span class="number">0x49c0b528</span>, <span class="number">0x3dd07566</span>, <span class="number">0xa0d6ce38</span>, <span class="number">0x20e378e2</span>, <span class="number">0x541b4d6e</span>, <span class="number">0x879c3afc</span>, <span class="number">0x59a30eff</span>, |
| <span class="number">0x64548684</span>, <span class="number">0x614ede2b</span>, <span class="number">0x812ff723</span>, <span class="number">0x299e1513</span>, <span class="number">0x4d3aadc2 |
| </span>], |
| m: PhantomData, |
| encoding: PhantomData, |
| }, |
| Elem { |
| limbs: <span class="macro">p384_limbs!</span>[ |
| <span class="number">0x4b03a4fe</span>, <span class="number">0x23043dad</span>, <span class="number">0x7bb4a9ac</span>, <span class="number">0xa1bfa8bf</span>, <span class="number">0x2e83b050</span>, <span class="number">0x8bade756</span>, <span class="number">0x68f4ffd9</span>, |
| <span class="number">0xc6c35219</span>, <span class="number">0x3969a840</span>, <span class="number">0xdd800226</span>, <span class="number">0x5a15c5e9</span>, <span class="number">0x2b78abc2 |
| </span>], |
| m: PhantomData, |
| encoding: PhantomData, |
| }, |
| ); |
| |
| PRIVATE_KEY_OPS.point_mul(a, <span class="kw-2">&</span>GENERATOR) |
| } |
| |
| <span class="kw">pub static </span>PUBLIC_KEY_OPS: PublicKeyOps = PublicKeyOps { |
| common: <span class="kw-2">&</span>COMMON_OPS, |
| }; |
| |
| <span class="kw">pub static </span>SCALAR_OPS: ScalarOps = ScalarOps { |
| common: <span class="kw-2">&</span>COMMON_OPS, |
| scalar_inv_to_mont_impl: p384_scalar_inv_to_mont, |
| scalar_mul_mont: GFp_p384_scalar_mul_mont, |
| }; |
| |
| <span class="kw">pub static </span>PUBLIC_SCALAR_OPS: PublicScalarOps = PublicScalarOps { |
| scalar_ops: <span class="kw-2">&</span>SCALAR_OPS, |
| public_key_ops: <span class="kw-2">&</span>PUBLIC_KEY_OPS, |
| private_key_ops: <span class="kw-2">&</span>PRIVATE_KEY_OPS, |
| |
| q_minus_n: Elem { |
| limbs: <span class="macro">p384_limbs!</span>[ |
| <span class="number">0x333ad68c</span>, <span class="number">0x1313e696</span>, <span class="number">0xb74f5885</span>, <span class="number">0xa7e5f24c</span>, <span class="number">0x0bc8d21f</span>, <span class="number">0x389cb27e</span>, <span class="number">0</span>, <span class="number">0</span>, <span class="number">0</span>, <span class="number">0</span>, <span class="number">0</span>, |
| <span class="number">0 |
| </span>], |
| |
| m: PhantomData, |
| encoding: PhantomData, <span class="comment">// Unencoded |
| </span>}, |
| }; |
| |
| <span class="kw">pub static </span>PRIVATE_SCALAR_OPS: PrivateScalarOps = PrivateScalarOps { |
| scalar_ops: <span class="kw-2">&</span>SCALAR_OPS, |
| |
| oneRR_mod_n: Scalar { |
| limbs: N_RR_LIMBS, |
| m: PhantomData, |
| encoding: PhantomData, <span class="comment">// R |
| </span>}, |
| }; |
| |
| <span class="kw">fn </span>p384_scalar_inv_to_mont(a: <span class="kw-2">&</span>Scalar<Unencoded>) -> Scalar<R> { |
| <span class="comment">// Calculate the modular inverse of scalar |a| using Fermat's Little |
| // Theorem: |
| // |
| // a**-1 (mod n) == a**(n - 2) (mod n) |
| // |
| // The exponent (n - 2) is: |
| // |
| // 0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf\ |
| // 581a0db248b0a77aecec196accc52971. |
| |
| </span><span class="kw">fn </span>mul(a: <span class="kw-2">&</span>Scalar<R>, b: <span class="kw-2">&</span>Scalar<R>) -> Scalar<R> { |
| binary_op(GFp_p384_scalar_mul_mont, a, b) |
| } |
| |
| <span class="kw">fn </span>sqr(a: <span class="kw-2">&</span>Scalar<R>) -> Scalar<R> { |
| binary_op(GFp_p384_scalar_mul_mont, a, a) |
| } |
| |
| <span class="kw">fn </span>sqr_mut(a: <span class="kw-2">&mut </span>Scalar<R>) { |
| unary_op_from_binary_op_assign(GFp_p384_scalar_mul_mont, a); |
| } |
| |
| <span class="comment">// Returns (`a` squared `squarings` times) * `b`. |
| </span><span class="kw">fn </span>sqr_mul(a: <span class="kw-2">&</span>Scalar<R>, squarings: usize, b: <span class="kw-2">&</span>Scalar<R>) -> Scalar<R> { |
| <span class="macro">debug_assert!</span>(squarings >= <span class="number">1</span>); |
| <span class="kw">let </span><span class="kw-2">mut </span>tmp = sqr(a); |
| <span class="kw">for _ in </span><span class="number">1</span>..squarings { |
| sqr_mut(<span class="kw-2">&mut </span>tmp); |
| } |
| mul(<span class="kw-2">&</span>tmp, b) |
| } |
| |
| <span class="comment">// Sets `acc` = (`acc` squared `squarings` times) * `b`. |
| </span><span class="kw">fn </span>sqr_mul_acc(acc: <span class="kw-2">&mut </span>Scalar<R>, squarings: usize, b: <span class="kw-2">&</span>Scalar<R>) { |
| <span class="macro">debug_assert!</span>(squarings >= <span class="number">1</span>); |
| <span class="kw">for _ in </span><span class="number">0</span>..squarings { |
| sqr_mut(acc); |
| } |
| binary_op_assign(GFp_p384_scalar_mul_mont, acc, b) |
| } |
| |
| <span class="kw">fn </span>to_mont(a: <span class="kw-2">&</span>Scalar<Unencoded>) -> Scalar<R> { |
| <span class="kw">static </span>N_RR: Scalar<Unencoded> = Scalar { |
| limbs: N_RR_LIMBS, |
| m: PhantomData, |
| encoding: PhantomData, |
| }; |
| binary_op(GFp_p384_scalar_mul_mont, a, <span class="kw-2">&</span>N_RR) |
| } |
| |
| <span class="comment">// Indexes into `d`. |
| </span><span class="kw">const </span>B_1: usize = <span class="number">0</span>; |
| <span class="kw">const </span>B_11: usize = <span class="number">1</span>; |
| <span class="kw">const </span>B_101: usize = <span class="number">2</span>; |
| <span class="kw">const </span>B_111: usize = <span class="number">3</span>; |
| <span class="kw">const </span>B_1001: usize = <span class="number">4</span>; |
| <span class="kw">const </span>B_1011: usize = <span class="number">5</span>; |
| <span class="kw">const </span>B_1101: usize = <span class="number">6</span>; |
| <span class="kw">const </span>B_1111: usize = <span class="number">7</span>; |
| <span class="kw">const </span>DIGIT_COUNT: usize = <span class="number">8</span>; |
| |
| <span class="kw">let </span><span class="kw-2">mut </span>d = [Scalar::zero(); DIGIT_COUNT]; |
| d[B_1] = to_mont(a); |
| <span class="kw">let </span>b_10 = sqr(<span class="kw-2">&</span>d[B_1]); |
| <span class="kw">for </span>i <span class="kw">in </span>B_11..DIGIT_COUNT { |
| d[i] = mul(<span class="kw-2">&</span>d[i - <span class="number">1</span>], <span class="kw-2">&</span>b_10); |
| } |
| |
| <span class="kw">let </span>ff = sqr_mul(<span class="kw-2">&</span>d[B_1111], <span class="number">0 </span>+ <span class="number">4</span>, <span class="kw-2">&</span>d[B_1111]); |
| <span class="kw">let </span>ffff = sqr_mul(<span class="kw-2">&</span>ff, <span class="number">0 </span>+ <span class="number">8</span>, <span class="kw-2">&</span>ff); |
| <span class="kw">let </span>ffffffff = sqr_mul(<span class="kw-2">&</span>ffff, <span class="number">0 </span>+ <span class="number">16</span>, <span class="kw-2">&</span>ffff); |
| |
| <span class="kw">let </span>ffffffffffffffff = sqr_mul(<span class="kw-2">&</span>ffffffff, <span class="number">0 </span>+ <span class="number">32</span>, <span class="kw-2">&</span>ffffffff); |
| |
| <span class="kw">let </span>ffffffffffffffffffffffff = sqr_mul(<span class="kw-2">&</span>ffffffffffffffff, <span class="number">0 </span>+ <span class="number">32</span>, <span class="kw-2">&</span>ffffffff); |
| |
| <span class="comment">// ffffffffffffffffffffffffffffffffffffffffffffffff |
| </span><span class="kw">let </span><span class="kw-2">mut </span>acc = sqr_mul(<span class="kw-2">&</span>ffffffffffffffffffffffff, <span class="number">0 </span>+ <span class="number">96</span>, <span class="kw-2">&</span>ffffffffffffffffffffffff); |
| |
| <span class="comment">// The rest of the exponent, in binary, is: |
| // |
| // 1100011101100011010011011000000111110100001101110010110111011111 |
| // 0101100000011010000011011011001001001000101100001010011101111010 |
| // 1110110011101100000110010110101011001100110001010010100101110001 |
| |
| </span><span class="kw">static </span>REMAINING_WINDOWS: [(u8, u8); <span class="number">39</span>] = [ |
| (<span class="number">2</span>, B_11 <span class="kw">as </span>u8), |
| (<span class="number">3 </span>+ <span class="number">3</span>, B_111 <span class="kw">as </span>u8), |
| (<span class="number">1 </span>+ <span class="number">2</span>, B_11 <span class="kw">as </span>u8), |
| (<span class="number">3 </span>+ <span class="number">2</span>, B_11 <span class="kw">as </span>u8), |
| (<span class="number">1 </span>+ <span class="number">4</span>, B_1001 <span class="kw">as </span>u8), |
| (<span class="number">4</span>, B_1011 <span class="kw">as </span>u8), |
| (<span class="number">6 </span>+ <span class="number">4</span>, B_1111 <span class="kw">as </span>u8), |
| (<span class="number">3</span>, B_101 <span class="kw">as </span>u8), |
| (<span class="number">4 </span>+ <span class="number">1</span>, B_1 <span class="kw">as </span>u8), |
| (<span class="number">4</span>, B_1011 <span class="kw">as </span>u8), |
| (<span class="number">4</span>, B_1001 <span class="kw">as </span>u8), |
| (<span class="number">1 </span>+ <span class="number">4</span>, B_1101 <span class="kw">as </span>u8), |
| (<span class="number">4</span>, B_1101 <span class="kw">as </span>u8), |
| (<span class="number">4</span>, B_1111 <span class="kw">as </span>u8), |
| (<span class="number">1 </span>+ <span class="number">4</span>, B_1011 <span class="kw">as </span>u8), |
| (<span class="number">6 </span>+ <span class="number">4</span>, B_1101 <span class="kw">as </span>u8), |
| (<span class="number">5 </span>+ <span class="number">4</span>, B_1101 <span class="kw">as </span>u8), |
| (<span class="number">4</span>, B_1011 <span class="kw">as </span>u8), |
| (<span class="number">2 </span>+ <span class="number">4</span>, B_1001 <span class="kw">as </span>u8), |
| (<span class="number">2 </span>+ <span class="number">1</span>, B_1 <span class="kw">as </span>u8), |
| (<span class="number">3 </span>+ <span class="number">4</span>, B_1011 <span class="kw">as </span>u8), |
| (<span class="number">4 </span>+ <span class="number">3</span>, B_101 <span class="kw">as </span>u8), |
| (<span class="number">2 </span>+ <span class="number">3</span>, B_111 <span class="kw">as </span>u8), |
| (<span class="number">1 </span>+ <span class="number">4</span>, B_1111 <span class="kw">as </span>u8), |
| (<span class="number">1 </span>+ <span class="number">4</span>, B_1011 <span class="kw">as </span>u8), |
| (<span class="number">4</span>, B_1011 <span class="kw">as </span>u8), |
| (<span class="number">2 </span>+ <span class="number">3</span>, B_111 <span class="kw">as </span>u8), |
| (<span class="number">1 </span>+ <span class="number">2</span>, B_11 <span class="kw">as </span>u8), |
| (<span class="number">5 </span>+ <span class="number">2</span>, B_11 <span class="kw">as </span>u8), |
| (<span class="number">2 </span>+ <span class="number">4</span>, B_1011 <span class="kw">as </span>u8), |
| (<span class="number">1 </span>+ <span class="number">3</span>, B_101 <span class="kw">as </span>u8), |
| (<span class="number">1 </span>+ <span class="number">2</span>, B_11 <span class="kw">as </span>u8), |
| (<span class="number">2 </span>+ <span class="number">2</span>, B_11 <span class="kw">as </span>u8), |
| (<span class="number">2 </span>+ <span class="number">2</span>, B_11 <span class="kw">as </span>u8), |
| (<span class="number">3 </span>+ <span class="number">3</span>, B_101 <span class="kw">as </span>u8), |
| (<span class="number">2 </span>+ <span class="number">3</span>, B_101 <span class="kw">as </span>u8), |
| (<span class="number">2 </span>+ <span class="number">3</span>, B_101 <span class="kw">as </span>u8), |
| (<span class="number">2</span>, B_11 <span class="kw">as </span>u8), |
| (<span class="number">3 </span>+ <span class="number">1</span>, B_1 <span class="kw">as </span>u8), |
| ]; |
| |
| <span class="kw">for </span><span class="kw-2">&</span>(squarings, digit) <span class="kw">in </span><span class="kw-2">&</span>REMAINING_WINDOWS[..] { |
| sqr_mul_acc(<span class="kw-2">&mut </span>acc, usize::from(squarings), <span class="kw-2">&</span>d[usize::from(digit)]); |
| } |
| |
| acc |
| } |
| |
| <span class="kw">unsafe extern </span><span class="string">"C" </span><span class="kw">fn </span>GFp_p384_elem_sqr_mont( |
| r: <span class="kw-2">*mut </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs] |
| </span>a: <span class="kw-2">*const </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs] |
| </span>) { |
| <span class="comment">// XXX: Inefficient. TODO: Make a dedicated squaring routine. |
| </span>GFp_p384_elem_mul_mont(r, a, a); |
| } |
| |
| <span class="kw">const </span>N_RR_LIMBS: [Limb; MAX_LIMBS] = <span class="macro">p384_limbs!</span>[ |
| <span class="number">0x19b409a9</span>, <span class="number">0x2d319b24</span>, <span class="number">0xdf1aa419</span>, <span class="number">0xff3d81e5</span>, <span class="number">0xfcb82947</span>, <span class="number">0xbc3e483a</span>, <span class="number">0x4aab1cc5</span>, <span class="number">0xd40d4917</span>, |
| <span class="number">0x28266895</span>, <span class="number">0x3fb05b7a</span>, <span class="number">0x2b39bf21</span>, <span class="number">0x0c84ee01 |
| </span>]; |
| |
| <span class="kw">extern </span><span class="string">"C" </span>{ |
| <span class="kw">fn </span>GFp_p384_elem_add( |
| r: <span class="kw-2">*mut </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs] |
| </span>a: <span class="kw-2">*const </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs] |
| </span>b: <span class="kw-2">*const </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs] |
| </span>); |
| <span class="kw">fn </span>GFp_p384_elem_mul_mont( |
| r: <span class="kw-2">*mut </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs] |
| </span>a: <span class="kw-2">*const </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs] |
| </span>b: <span class="kw-2">*const </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs] |
| </span>); |
| |
| <span class="kw">fn </span>GFp_nistz384_point_add( |
| r: <span class="kw-2">*mut </span>Limb, <span class="comment">// [3][COMMON_OPS.num_limbs] |
| </span>a: <span class="kw-2">*const </span>Limb, <span class="comment">// [3][COMMON_OPS.num_limbs] |
| </span>b: <span class="kw-2">*const </span>Limb, <span class="comment">// [3][COMMON_OPS.num_limbs] |
| </span>); |
| <span class="kw">fn </span>GFp_nistz384_point_mul( |
| r: <span class="kw-2">*mut </span>Limb, <span class="comment">// [3][COMMON_OPS.num_limbs] |
| </span>p_scalar: <span class="kw-2">*const </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs] |
| </span>p_x: <span class="kw-2">*const </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs] |
| </span>p_y: <span class="kw-2">*const </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs] |
| </span>); |
| |
| <span class="kw">fn </span>GFp_p384_scalar_mul_mont( |
| r: <span class="kw-2">*mut </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs] |
| </span>a: <span class="kw-2">*const </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs] |
| </span>b: <span class="kw-2">*const </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs] |
| </span>); |
| } |
| </code></pre></div> |
| </section></div></main><div id="rustdoc-vars" data-root-path="../../../../../" data-current-crate="ring" data-themes="ayu,dark,light" data-resource-suffix="" data-rustdoc-version="1.66.0-nightly (5c8bff74b 2022-10-21)" ></div></body></html> |