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Update docs

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Rhys Weatherley 2015-04-18 08:45:02 +10:00
parent 52795520e2
commit 0ad779856a
352 changed files with 3931 additions and 1734 deletions

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@ -175,7 +175,7 @@ var searchBox = new SearchBox("searchBox", "search",false,'Search');
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@ -175,7 +175,7 @@ var searchBox = new SearchBox("searchBox", "search",false,'Search');
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@ -182,7 +182,7 @@ var searchBox = new SearchBox("searchBox", "search",false,'Search');
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@ -415,7 +415,7 @@ var searchBox = new SearchBox("searchBox", "search",false,'Search');
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@ -125,7 +125,7 @@ var searchBox = new SearchBox("searchBox", "search",false,'Search');
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@ -330,7 +330,7 @@ var searchBox = new SearchBox("searchBox", "search",false,'Search');
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@ -112,281 +112,452 @@ var searchBox = new SearchBox("searchBox", "search",false,'Search');
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;</div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="preprocessor">#include &quot;BigNumberUtil.h&quot;</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="preprocessor">#include &quot;utility/EndianUtil.h&quot;</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="preprocessor">#include &lt;string.h&gt;</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;</div>
<div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="classBigNumberUtil.html#a25041f898c417c8dd63f30536287ed79"> 54</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classBigNumberUtil.html#a25041f898c417c8dd63f30536287ed79">BigNumberUtil::unpackLE</a>(limb_t *limbs, <span class="keywordtype">size_t</span> count,</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; <span class="keyword">const</span> uint8_t *bytes, <span class="keywordtype">size_t</span> len)</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160;{</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160;<span class="preprocessor">#if BIGNUMBER_LIMB_8BIT</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160;<span class="preprocessor"></span> <span class="keywordflow">if</span> (len &lt; count) {</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; memcpy(limbs, bytes, len);</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; memset(limbs + len, 0, count - len);</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; memcpy(limbs, bytes, count);</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; }</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160;<span class="preprocessor">#elif CRYPTO_LITTLE_ENDIAN</span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160;<span class="preprocessor"></span> count *= <span class="keyword">sizeof</span>(limb_t);</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; <span class="keywordflow">if</span> (len &lt; count) {</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; memcpy(limbs, bytes, len);</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; memset(((uint8_t *)limbs) + len, 0, count - len);</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; memcpy(limbs, bytes, count);</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; }</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160;<span class="preprocessor">#elif BIGNUMBER_LIMB_16BIT</span></div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160;<span class="preprocessor"></span> <span class="keywordflow">while</span> (count &gt; 0 &amp;&amp; len &gt;= 2) {</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; *limbs++ = ((limb_t)(bytes[0])) |</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; (((limb_t)(bytes[1])) &lt;&lt; 8);</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; bytes += 2;</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; --count;</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; len -= 2;</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; }</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <span class="keywordflow">if</span> (count &gt; 0 &amp;&amp; len == 1) {</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; *limbs++ = ((limb_t)(bytes[0]));</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; --count;</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; }</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; <span class="keywordflow">while</span> (count &gt; 0) {</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; *limbs++ = 0;</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; --count;</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; }</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160;<span class="preprocessor">#elif BIGNUMBER_LIMB_32BIT</span></div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160;<span class="preprocessor"></span> <span class="keywordflow">while</span> (count &gt; 0 &amp;&amp; len &gt;= 4) {</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; *limbs++ = ((limb_t)(bytes[0])) |</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; (((limb_t)(bytes[1])) &lt;&lt; 8) |</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; (((limb_t)(bytes[2])) &lt;&lt; 16) |</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; (((limb_t)(bytes[3])) &lt;&lt; 24);</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; bytes += 4;</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; --count;</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; len -= 4;</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; }</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; <span class="keywordflow">if</span> (count &gt; 0) {</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; <span class="keywordflow">if</span> (len == 3) {</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; *limbs++ = ((limb_t)(bytes[0])) |</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; (((limb_t)(bytes[1])) &lt;&lt; 8) |</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; (((limb_t)(bytes[2])) &lt;&lt; 16);</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (len == 2) {</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; *limbs++ = ((limb_t)(bytes[0])) |</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; (((limb_t)(bytes[1])) &lt;&lt; 8);</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (len == 1) {</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; *limbs++ = ((limb_t)(bytes[0]));</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; }</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; --count;</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; }</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; <span class="keywordflow">while</span> (count &gt; 0) {</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; *limbs++ = 0;</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; --count;</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; }</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160;<span class="preprocessor"></span>}</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160;</div>
<div class="line"><a name="l00133"></a><span class="lineno"><a class="line" href="classBigNumberUtil.html#a63f9d7884eb36227d39e1b95e219d865"> 133</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classBigNumberUtil.html#a63f9d7884eb36227d39e1b95e219d865">BigNumberUtil::unpackBE</a>(limb_t *limbs, <span class="keywordtype">size_t</span> count,</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; <span class="keyword">const</span> uint8_t *bytes, <span class="keywordtype">size_t</span> len)</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160;{</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160;<span class="preprocessor">#if BIGNUMBER_LIMB_8BIT</span></div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160;<span class="preprocessor"></span> <span class="keywordflow">while</span> (count &gt; 0 &amp;&amp; len &gt; 0) {</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; --count;</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160; --len;</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; *limbs++ = bytes[len];</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; }</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160; memset(limbs, 0, count);</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160;<span class="preprocessor">#elif BIGNUMBER_LIMB_16BIT</span></div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160;<span class="preprocessor"></span> bytes += len;</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; <span class="keywordflow">while</span> (count &gt; 0 &amp;&amp; len &gt;= 2) {</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; --count;</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160; bytes -= 2;</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; len -= 2;</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; *limbs++ = ((limb_t)(bytes[1])) |</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; (((limb_t)(bytes[0])) &lt;&lt; 8);</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; }</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; <span class="keywordflow">if</span> (count &gt; 0 &amp;&amp; len == 1) {</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; --count;</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; --bytes;</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; *limbs++ = (limb_t)(bytes[0]);</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; }</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; memset(limbs, 0, count * <span class="keyword">sizeof</span>(limb_t));</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160;<span class="preprocessor">#elif BIGNUMBER_LIMB_32BIT</span></div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160;<span class="preprocessor"></span> bytes += len;</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160; <span class="keywordflow">while</span> (count &gt; 0 &amp;&amp; len &gt;= 4) {</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160; --count;</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; bytes -= 4;</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; len -= 4;</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; *limbs++ = ((limb_t)(bytes[3])) |</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; (((limb_t)(bytes[2])) &lt;&lt; 8) |</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160; (((limb_t)(bytes[1])) &lt;&lt; 16) |</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160; (((limb_t)(bytes[0])) &lt;&lt; 24);</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; }</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160; <span class="keywordflow">if</span> (count &gt; 0) {</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160; <span class="keywordflow">if</span> (len == 3) {</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160; --count;</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; bytes -= 3;</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; *limbs++ = ((limb_t)(bytes[2])) |</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160; (((limb_t)(bytes[1])) &lt;&lt; 8) |</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; (((limb_t)(bytes[0])) &lt;&lt; 16);</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (len == 2) {</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160; --count;</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160; bytes -= 2;</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160; *limbs++ = ((limb_t)(bytes[1])) |</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160; (((limb_t)(bytes[0])) &lt;&lt; 8);</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (len == 1) {</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160; --count;</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160; --bytes;</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160; *limbs++ = (limb_t)(bytes[0]);</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160; }</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160; }</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160; memset(limbs, 0, count * <span class="keyword">sizeof</span>(limb_t));</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160;<span class="preprocessor"></span>}</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160;</div>
<div class="line"><a name="l00207"></a><span class="lineno"><a class="line" href="classBigNumberUtil.html#a989cd5f389ac5adc798d8767383e2810"> 207</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classBigNumberUtil.html#a989cd5f389ac5adc798d8767383e2810">BigNumberUtil::packLE</a>(uint8_t *bytes, <span class="keywordtype">size_t</span> len,</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160; <span class="keyword">const</span> limb_t *limbs, <span class="keywordtype">size_t</span> count)</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160;{</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160;<span class="preprocessor">#if BIGNUMBER_LIMB_8BIT</span></div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160;<span class="preprocessor"></span> <span class="keywordflow">if</span> (len &lt;= count) {</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160; memcpy(bytes, limbs, len);</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160; memcpy(bytes, limbs, count);</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160; memset(bytes + count, 0, len - count);</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160; }</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160;<span class="preprocessor">#elif CRYPTO_LITTLE_ENDIAN</span></div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160;<span class="preprocessor"></span> count *= <span class="keyword">sizeof</span>(limb_t);</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160; <span class="keywordflow">if</span> (len &lt;= count) {</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160; memcpy(bytes, limbs, len);</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160; memcpy(bytes, limbs, count);</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160; memset(bytes + count, 0, len - count);</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160; }</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160;<span class="preprocessor">#elif BIGNUMBER_LIMB_16BIT</span></div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160;<span class="preprocessor"></span> limb_t word;</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160; <span class="keywordflow">while</span> (count &gt; 0 &amp;&amp; len &gt;= 2) {</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160; word = *limbs++;</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160; bytes[0] = (uint8_t)word;</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160; bytes[1] = (uint8_t)(word &gt;&gt; 8);</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; --count;</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160; len -= 2;</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; bytes += 2;</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160; }</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160; <span class="keywordflow">if</span> (count &gt; 0 &amp;&amp; len == 1) {</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160; bytes[0] = (uint8_t)(*limbs);</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160; --len;</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160; ++bytes;</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160; }</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160; memset(bytes, 0, len);</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160;<span class="preprocessor">#elif BIGNUMBER_LIMB_32BIT</span></div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160;<span class="preprocessor"></span> limb_t word;</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160; <span class="keywordflow">while</span> (count &gt; 0 &amp;&amp; len &gt;= 4) {</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160; word = *limbs++;</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160; bytes[0] = (uint8_t)word;</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160; bytes[1] = (uint8_t)(word &gt;&gt; 8);</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160; bytes[2] = (uint8_t)(word &gt;&gt; 16);</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>&#160; bytes[3] = (uint8_t)(word &gt;&gt; 24);</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160; --count;</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160; len -= 4;</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160; bytes += 4;</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>&#160; }</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160; <span class="keywordflow">if</span> (count &gt; 0) {</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160; <span class="keywordflow">if</span> (len == 3) {</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160; word = *limbs;</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160; bytes[0] = (uint8_t)word;</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160; bytes[1] = (uint8_t)(word &gt;&gt; 8);</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160; bytes[2] = (uint8_t)(word &gt;&gt; 16);</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160; len -= 3;</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160; bytes += 3;</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (len == 2) {</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160; word = *limbs;</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160; bytes[0] = (uint8_t)word;</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160; bytes[1] = (uint8_t)(word &gt;&gt; 8);</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160; len -= 2;</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160; bytes += 2;</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (len == 1) {</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160; bytes[0] = (uint8_t)(*limbs);</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160; --len;</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160; ++bytes;</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160; }</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160; }</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160; memset(bytes, 0, len);</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160;<span class="preprocessor"></span>}</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>&#160;</div>
<div class="line"><a name="l00293"></a><span class="lineno"><a class="line" href="classBigNumberUtil.html#af49dd38173ea0310776d283aabea2ba0"> 293</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classBigNumberUtil.html#af49dd38173ea0310776d283aabea2ba0">BigNumberUtil::packBE</a>(uint8_t *bytes, <span class="keywordtype">size_t</span> len,</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>&#160; <span class="keyword">const</span> limb_t *limbs, <span class="keywordtype">size_t</span> count)</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160;{</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>&#160;<span class="preprocessor">#if BIGNUMBER_LIMB_8BIT</span></div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>&#160;<span class="preprocessor"></span> <span class="keywordflow">if</span> (len &gt; count) {</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>&#160; <span class="keywordtype">size_t</span> size = len - count;</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>&#160; memset(bytes, 0, size);</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>&#160; len -= size;</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>&#160; bytes += size;</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (len &lt; count) {</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>&#160; count = len;</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>&#160; }</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>&#160; limbs += count;</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>&#160; <span class="keywordflow">while</span> (count &gt; 0) {</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>&#160; --count;</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>&#160; *bytes++ = *(--limbs);</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>&#160; }</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>&#160;<span class="preprocessor">#elif BIGNUMBER_LIMB_16BIT</span></div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>&#160;<span class="preprocessor"></span> <span class="keywordtype">size_t</span> countBytes = count * <span class="keyword">sizeof</span>(limb_t);</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>&#160; limb_t word;</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>&#160; <span class="keywordflow">if</span> (len &gt;= countBytes) {</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>&#160; <span class="keywordtype">size_t</span> size = len - countBytes;</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>&#160; memset(bytes, 0, size);</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>&#160; len -= size;</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>&#160; bytes += size;</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>&#160; limbs += count;</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>&#160; count = len / <span class="keyword">sizeof</span>(limb_t);</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>&#160; limbs += count;</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>&#160; <span class="keywordflow">if</span> ((len &amp; 1) != 0)</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>&#160; *bytes++ = (uint8_t)(*limbs);</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>&#160; }</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>&#160; <span class="keywordflow">while</span> (count &gt; 0) {</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>&#160; --count;</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>&#160; word = *(--limbs);</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>&#160; *bytes++ = (uint8_t)(word &gt;&gt; 8);</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>&#160; *bytes++ = (uint8_t)word;</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>&#160; }</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>&#160;<span class="preprocessor">#elif BIGNUMBER_LIMB_32BIT</span></div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>&#160;<span class="preprocessor"></span> <span class="keywordtype">size_t</span> countBytes = count * <span class="keyword">sizeof</span>(limb_t);</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>&#160; limb_t word;</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>&#160; <span class="keywordflow">if</span> (len &gt;= countBytes) {</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>&#160; <span class="keywordtype">size_t</span> size = len - countBytes;</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>&#160; memset(bytes, 0, size);</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>&#160; len -= size;</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>&#160; bytes += size;</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>&#160; limbs += count;</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>&#160; count = len / <span class="keyword">sizeof</span>(limb_t);</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>&#160; limbs += count;</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>&#160; <span class="keywordflow">if</span> ((len &amp; 3) == 3) {</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>&#160; word = *limbs;</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>&#160; *bytes++ = (uint8_t)(word &gt;&gt; 16);</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>&#160; *bytes++ = (uint8_t)(word &gt;&gt; 8);</div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>&#160; *bytes++ = (uint8_t)word;</div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> ((len &amp; 3) == 2) {</div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>&#160; word = *limbs;</div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>&#160; *bytes++ = (uint8_t)(word &gt;&gt; 8);</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>&#160; *bytes++ = (uint8_t)word;</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> ((len &amp; 3) == 1) {</div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>&#160; *bytes++ = (uint8_t)(*limbs);</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>&#160; }</div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>&#160; }</div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>&#160; <span class="keywordflow">while</span> (count &gt; 0) {</div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>&#160; --count;</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>&#160; word = *(--limbs);</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>&#160; *bytes++ = (uint8_t)(word &gt;&gt; 24);</div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>&#160; *bytes++ = (uint8_t)(word &gt;&gt; 16);</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>&#160; *bytes++ = (uint8_t)(word &gt;&gt; 8);</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>&#160; *bytes++ = (uint8_t)word;</div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>&#160; }</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>&#160;<span class="preprocessor"></span>}</div>
<div class="ttc" id="classBigNumberUtil_html_af49dd38173ea0310776d283aabea2ba0"><div class="ttname"><a href="classBigNumberUtil.html#af49dd38173ea0310776d283aabea2ba0">BigNumberUtil::packBE</a></div><div class="ttdeci">static void packBE(uint8_t *bytes, size_t len, const limb_t *limbs, size_t count)</div><div class="ttdoc">Packs the big-endian byte representation of a big number into a byte array. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00293">BigNumberUtil.cpp:293</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_a25041f898c417c8dd63f30536287ed79"><div class="ttname"><a href="classBigNumberUtil.html#a25041f898c417c8dd63f30536287ed79">BigNumberUtil::unpackLE</a></div><div class="ttdeci">static void unpackLE(limb_t *limbs, size_t count, const uint8_t *bytes, size_t len)</div><div class="ttdoc">Unpacks the little-endian byte representation of a big number into a limb array. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00054">BigNumberUtil.cpp:54</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_a63f9d7884eb36227d39e1b95e219d865"><div class="ttname"><a href="classBigNumberUtil.html#a63f9d7884eb36227d39e1b95e219d865">BigNumberUtil::unpackBE</a></div><div class="ttdeci">static void unpackBE(limb_t *limbs, size_t count, const uint8_t *bytes, size_t len)</div><div class="ttdoc">Unpacks the big-endian byte representation of a big number into a limb array. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00133">BigNumberUtil.cpp:133</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_a989cd5f389ac5adc798d8767383e2810"><div class="ttname"><a href="classBigNumberUtil.html#a989cd5f389ac5adc798d8767383e2810">BigNumberUtil::packLE</a></div><div class="ttdeci">static void packLE(uint8_t *bytes, size_t len, const limb_t *limbs, size_t count)</div><div class="ttdoc">Packs the little-endian byte representation of a big number into a byte array. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00207">BigNumberUtil.cpp:207</a></div></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="preprocessor">#include &quot;utility/LimbUtil.h&quot;</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="preprocessor">#include &lt;string.h&gt;</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;</div>
<div class="line"><a name="l00055"></a><span class="lineno"><a class="line" href="classBigNumberUtil.html#a25041f898c417c8dd63f30536287ed79"> 55</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classBigNumberUtil.html#a25041f898c417c8dd63f30536287ed79">BigNumberUtil::unpackLE</a>(limb_t *limbs, <span class="keywordtype">size_t</span> count,</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="keyword">const</span> uint8_t *bytes, <span class="keywordtype">size_t</span> len)</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160;{</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160;<span class="preprocessor">#if BIGNUMBER_LIMB_8BIT</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160;<span class="preprocessor"></span> <span class="keywordflow">if</span> (len &lt; count) {</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; memcpy(limbs, bytes, len);</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; memset(limbs + len, 0, count - len);</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; memcpy(limbs, bytes, count);</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; }</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160;<span class="preprocessor">#elif CRYPTO_LITTLE_ENDIAN</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160;<span class="preprocessor"></span> count *= <span class="keyword">sizeof</span>(limb_t);</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; <span class="keywordflow">if</span> (len &lt; count) {</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; memcpy(limbs, bytes, len);</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; memset(((uint8_t *)limbs) + len, 0, count - len);</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; memcpy(limbs, bytes, count);</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; }</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160;<span class="preprocessor">#elif BIGNUMBER_LIMB_16BIT</span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160;<span class="preprocessor"></span> <span class="keywordflow">while</span> (count &gt; 0 &amp;&amp; len &gt;= 2) {</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; *limbs++ = ((limb_t)(bytes[0])) |</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; (((limb_t)(bytes[1])) &lt;&lt; 8);</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; bytes += 2;</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; --count;</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; len -= 2;</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; }</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; <span class="keywordflow">if</span> (count &gt; 0 &amp;&amp; len == 1) {</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; *limbs++ = ((limb_t)(bytes[0]));</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; --count;</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; }</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <span class="keywordflow">while</span> (count &gt; 0) {</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; *limbs++ = 0;</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; --count;</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; }</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160;<span class="preprocessor">#elif BIGNUMBER_LIMB_32BIT</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160;<span class="preprocessor"></span> <span class="keywordflow">while</span> (count &gt; 0 &amp;&amp; len &gt;= 4) {</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; *limbs++ = ((limb_t)(bytes[0])) |</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; (((limb_t)(bytes[1])) &lt;&lt; 8) |</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; (((limb_t)(bytes[2])) &lt;&lt; 16) |</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; (((limb_t)(bytes[3])) &lt;&lt; 24);</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; bytes += 4;</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; --count;</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; len -= 4;</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; }</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; <span class="keywordflow">if</span> (count &gt; 0) {</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; <span class="keywordflow">if</span> (len == 3) {</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; *limbs++ = ((limb_t)(bytes[0])) |</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; (((limb_t)(bytes[1])) &lt;&lt; 8) |</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; (((limb_t)(bytes[2])) &lt;&lt; 16);</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (len == 2) {</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; *limbs++ = ((limb_t)(bytes[0])) |</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; (((limb_t)(bytes[1])) &lt;&lt; 8);</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (len == 1) {</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; *limbs++ = ((limb_t)(bytes[0]));</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; }</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; --count;</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; }</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; <span class="keywordflow">while</span> (count &gt; 0) {</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; *limbs++ = 0;</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; --count;</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; }</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160;<span class="preprocessor"></span>}</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160;</div>
<div class="line"><a name="l00134"></a><span class="lineno"><a class="line" href="classBigNumberUtil.html#a63f9d7884eb36227d39e1b95e219d865"> 134</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classBigNumberUtil.html#a63f9d7884eb36227d39e1b95e219d865">BigNumberUtil::unpackBE</a>(limb_t *limbs, <span class="keywordtype">size_t</span> count,</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160; <span class="keyword">const</span> uint8_t *bytes, <span class="keywordtype">size_t</span> len)</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160;{</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160;<span class="preprocessor">#if BIGNUMBER_LIMB_8BIT</span></div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160;<span class="preprocessor"></span> <span class="keywordflow">while</span> (count &gt; 0 &amp;&amp; len &gt; 0) {</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160; --count;</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; --len;</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; *limbs++ = bytes[len];</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160; }</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; memset(limbs, 0, count);</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160;<span class="preprocessor">#elif BIGNUMBER_LIMB_16BIT</span></div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160;<span class="preprocessor"></span> bytes += len;</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; <span class="keywordflow">while</span> (count &gt; 0 &amp;&amp; len &gt;= 2) {</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160; --count;</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; bytes -= 2;</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; len -= 2;</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; *limbs++ = ((limb_t)(bytes[1])) |</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; (((limb_t)(bytes[0])) &lt;&lt; 8);</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; }</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; <span class="keywordflow">if</span> (count &gt; 0 &amp;&amp; len == 1) {</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; --count;</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; --bytes;</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; *limbs++ = (limb_t)(bytes[0]);</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; }</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160; memset(limbs, 0, count * <span class="keyword">sizeof</span>(limb_t));</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160;<span class="preprocessor">#elif BIGNUMBER_LIMB_32BIT</span></div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160;<span class="preprocessor"></span> bytes += len;</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160; <span class="keywordflow">while</span> (count &gt; 0 &amp;&amp; len &gt;= 4) {</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; --count;</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; bytes -= 4;</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; len -= 4;</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; *limbs++ = ((limb_t)(bytes[3])) |</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160; (((limb_t)(bytes[2])) &lt;&lt; 8) |</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160; (((limb_t)(bytes[1])) &lt;&lt; 16) |</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; (((limb_t)(bytes[0])) &lt;&lt; 24);</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160; }</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160; <span class="keywordflow">if</span> (count &gt; 0) {</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160; <span class="keywordflow">if</span> (len == 3) {</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; --count;</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; bytes -= 3;</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160; *limbs++ = ((limb_t)(bytes[2])) |</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; (((limb_t)(bytes[1])) &lt;&lt; 8) |</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160; (((limb_t)(bytes[0])) &lt;&lt; 16);</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (len == 2) {</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160; --count;</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160; bytes -= 2;</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160; *limbs++ = ((limb_t)(bytes[1])) |</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160; (((limb_t)(bytes[0])) &lt;&lt; 8);</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (len == 1) {</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160; --count;</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160; --bytes;</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160; *limbs++ = (limb_t)(bytes[0]);</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160; }</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160; }</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160; memset(limbs, 0, count * <span class="keyword">sizeof</span>(limb_t));</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160;<span class="preprocessor"></span>}</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160;</div>
<div class="line"><a name="l00208"></a><span class="lineno"><a class="line" href="classBigNumberUtil.html#a989cd5f389ac5adc798d8767383e2810"> 208</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classBigNumberUtil.html#a989cd5f389ac5adc798d8767383e2810">BigNumberUtil::packLE</a>(uint8_t *bytes, <span class="keywordtype">size_t</span> len,</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160; <span class="keyword">const</span> limb_t *limbs, <span class="keywordtype">size_t</span> count)</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160;{</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160;<span class="preprocessor">#if BIGNUMBER_LIMB_8BIT</span></div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160;<span class="preprocessor"></span> <span class="keywordflow">if</span> (len &lt;= count) {</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160; memcpy(bytes, limbs, len);</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160; memcpy(bytes, limbs, count);</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160; memset(bytes + count, 0, len - count);</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160; }</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160;<span class="preprocessor">#elif CRYPTO_LITTLE_ENDIAN</span></div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160;<span class="preprocessor"></span> count *= <span class="keyword">sizeof</span>(limb_t);</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160; <span class="keywordflow">if</span> (len &lt;= count) {</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160; memcpy(bytes, limbs, len);</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160; memcpy(bytes, limbs, count);</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160; memset(bytes + count, 0, len - count);</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160; }</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160;<span class="preprocessor">#elif BIGNUMBER_LIMB_16BIT</span></div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160;<span class="preprocessor"></span> limb_t word;</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160; <span class="keywordflow">while</span> (count &gt; 0 &amp;&amp; len &gt;= 2) {</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160; word = *limbs++;</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160; bytes[0] = (uint8_t)word;</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; bytes[1] = (uint8_t)(word &gt;&gt; 8);</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160; --count;</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; len -= 2;</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160; bytes += 2;</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160; }</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160; <span class="keywordflow">if</span> (count &gt; 0 &amp;&amp; len == 1) {</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160; bytes[0] = (uint8_t)(*limbs);</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160; --len;</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160; ++bytes;</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160; }</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160; memset(bytes, 0, len);</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160;<span class="preprocessor">#elif BIGNUMBER_LIMB_32BIT</span></div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160;<span class="preprocessor"></span> limb_t word;</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160; <span class="keywordflow">while</span> (count &gt; 0 &amp;&amp; len &gt;= 4) {</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160; word = *limbs++;</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160; bytes[0] = (uint8_t)word;</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160; bytes[1] = (uint8_t)(word &gt;&gt; 8);</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>&#160; bytes[2] = (uint8_t)(word &gt;&gt; 16);</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160; bytes[3] = (uint8_t)(word &gt;&gt; 24);</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160; --count;</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160; len -= 4;</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>&#160; bytes += 4;</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160; }</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160; <span class="keywordflow">if</span> (count &gt; 0) {</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160; <span class="keywordflow">if</span> (len == 3) {</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160; word = *limbs;</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160; bytes[0] = (uint8_t)word;</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160; bytes[1] = (uint8_t)(word &gt;&gt; 8);</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160; bytes[2] = (uint8_t)(word &gt;&gt; 16);</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160; len -= 3;</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160; bytes += 3;</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (len == 2) {</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160; word = *limbs;</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160; bytes[0] = (uint8_t)word;</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160; bytes[1] = (uint8_t)(word &gt;&gt; 8);</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160; len -= 2;</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160; bytes += 2;</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (len == 1) {</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160; bytes[0] = (uint8_t)(*limbs);</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160; --len;</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160; ++bytes;</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160; }</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160; }</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160; memset(bytes, 0, len);</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>&#160;<span class="preprocessor"></span>}</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>&#160;</div>
<div class="line"><a name="l00294"></a><span class="lineno"><a class="line" href="classBigNumberUtil.html#af49dd38173ea0310776d283aabea2ba0"> 294</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classBigNumberUtil.html#af49dd38173ea0310776d283aabea2ba0">BigNumberUtil::packBE</a>(uint8_t *bytes, <span class="keywordtype">size_t</span> len,</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160; <span class="keyword">const</span> limb_t *limbs, <span class="keywordtype">size_t</span> count)</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>&#160;{</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>&#160;<span class="preprocessor">#if BIGNUMBER_LIMB_8BIT</span></div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>&#160;<span class="preprocessor"></span> <span class="keywordflow">if</span> (len &gt; count) {</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>&#160; <span class="keywordtype">size_t</span> size = len - count;</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>&#160; memset(bytes, 0, size);</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>&#160; len -= size;</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>&#160; bytes += size;</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (len &lt; count) {</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>&#160; count = len;</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>&#160; }</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>&#160; limbs += count;</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>&#160; <span class="keywordflow">while</span> (count &gt; 0) {</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>&#160; --count;</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>&#160; *bytes++ = *(--limbs);</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>&#160; }</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>&#160;<span class="preprocessor">#elif BIGNUMBER_LIMB_16BIT</span></div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>&#160;<span class="preprocessor"></span> <span class="keywordtype">size_t</span> countBytes = count * <span class="keyword">sizeof</span>(limb_t);</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>&#160; limb_t word;</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>&#160; <span class="keywordflow">if</span> (len &gt;= countBytes) {</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>&#160; <span class="keywordtype">size_t</span> size = len - countBytes;</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>&#160; memset(bytes, 0, size);</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>&#160; len -= size;</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>&#160; bytes += size;</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>&#160; limbs += count;</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>&#160; count = len / <span class="keyword">sizeof</span>(limb_t);</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>&#160; limbs += count;</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>&#160; <span class="keywordflow">if</span> ((len &amp; 1) != 0)</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>&#160; *bytes++ = (uint8_t)(*limbs);</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>&#160; }</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>&#160; <span class="keywordflow">while</span> (count &gt; 0) {</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>&#160; --count;</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>&#160; word = *(--limbs);</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>&#160; *bytes++ = (uint8_t)(word &gt;&gt; 8);</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>&#160; *bytes++ = (uint8_t)word;</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>&#160; }</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>&#160;<span class="preprocessor">#elif BIGNUMBER_LIMB_32BIT</span></div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>&#160;<span class="preprocessor"></span> <span class="keywordtype">size_t</span> countBytes = count * <span class="keyword">sizeof</span>(limb_t);</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>&#160; limb_t word;</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>&#160; <span class="keywordflow">if</span> (len &gt;= countBytes) {</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>&#160; <span class="keywordtype">size_t</span> size = len - countBytes;</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>&#160; memset(bytes, 0, size);</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>&#160; len -= size;</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>&#160; bytes += size;</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>&#160; limbs += count;</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>&#160; count = len / <span class="keyword">sizeof</span>(limb_t);</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>&#160; limbs += count;</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>&#160; <span class="keywordflow">if</span> ((len &amp; 3) == 3) {</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>&#160; word = *limbs;</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>&#160; *bytes++ = (uint8_t)(word &gt;&gt; 16);</div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>&#160; *bytes++ = (uint8_t)(word &gt;&gt; 8);</div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>&#160; *bytes++ = (uint8_t)word;</div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> ((len &amp; 3) == 2) {</div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>&#160; word = *limbs;</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>&#160; *bytes++ = (uint8_t)(word &gt;&gt; 8);</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>&#160; *bytes++ = (uint8_t)word;</div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> ((len &amp; 3) == 1) {</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>&#160; *bytes++ = (uint8_t)(*limbs);</div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>&#160; }</div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>&#160; }</div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>&#160; <span class="keywordflow">while</span> (count &gt; 0) {</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>&#160; --count;</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>&#160; word = *(--limbs);</div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>&#160; *bytes++ = (uint8_t)(word &gt;&gt; 24);</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>&#160; *bytes++ = (uint8_t)(word &gt;&gt; 16);</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>&#160; *bytes++ = (uint8_t)(word &gt;&gt; 8);</div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>&#160; *bytes++ = (uint8_t)word;</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>&#160; }</div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>&#160;<span class="preprocessor"></span>}</div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>&#160;</div>
<div class="line"><a name="l00381"></a><span class="lineno"><a class="line" href="classBigNumberUtil.html#aa6904b2727af6b767fe041b1b7f27414"> 381</a></span>&#160;limb_t <a class="code" href="classBigNumberUtil.html#aa6904b2727af6b767fe041b1b7f27414">BigNumberUtil::add</a>(limb_t *result, <span class="keyword">const</span> limb_t *x,</div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>&#160; <span class="keyword">const</span> limb_t *y, <span class="keywordtype">size_t</span> size)</div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>&#160;{</div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>&#160; dlimb_t carry = 0;</div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>&#160; <span class="keywordflow">while</span> (size &gt; 0) {</div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>&#160; carry += *x++;</div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>&#160; carry += *y++;</div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>&#160; *result++ = (limb_t)carry;</div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>&#160; carry &gt;&gt;= LIMB_BITS;</div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>&#160; --size;</div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>&#160; }</div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>&#160; <span class="keywordflow">return</span> (limb_t)carry;</div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>&#160;}</div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>&#160;</div>
<div class="line"><a name="l00408"></a><span class="lineno"><a class="line" href="classBigNumberUtil.html#a6618e03bfcb3086961df508b40cc1e67"> 408</a></span>&#160;limb_t <a class="code" href="classBigNumberUtil.html#a6618e03bfcb3086961df508b40cc1e67">BigNumberUtil::sub</a>(limb_t *result, <span class="keyword">const</span> limb_t *x,</div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>&#160; <span class="keyword">const</span> limb_t *y, <span class="keywordtype">size_t</span> size)</div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>&#160;{</div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>&#160; dlimb_t borrow = 0;</div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>&#160; <span class="keywordflow">while</span> (size &gt; 0) {</div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>&#160; borrow = ((dlimb_t)(*x++)) - (*y++) - ((borrow &gt;&gt; LIMB_BITS) &amp; 0x01);</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>&#160; *result++ = (limb_t)borrow;</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>&#160; --size;</div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>&#160; }</div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>&#160; <span class="keywordflow">return</span> ((limb_t)(borrow &gt;&gt; LIMB_BITS)) &amp; 0x01;</div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>&#160;}</div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>&#160;</div>
<div class="line"><a name="l00432"></a><span class="lineno"><a class="line" href="classBigNumberUtil.html#a1c2c5484f2bf440ae292fd3dfd2d594f"> 432</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classBigNumberUtil.html#a1c2c5484f2bf440ae292fd3dfd2d594f">BigNumberUtil::mul</a>(limb_t *result, <span class="keyword">const</span> limb_t *x, <span class="keywordtype">size_t</span> xcount,</div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>&#160; <span class="keyword">const</span> limb_t *y, <span class="keywordtype">size_t</span> ycount)</div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>&#160;{</div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>&#160; <span class="keywordtype">size_t</span> i, j;</div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>&#160; dlimb_t carry;</div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>&#160; limb_t word;</div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>&#160; <span class="keyword">const</span> limb_t *xx;</div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>&#160; limb_t *rr;</div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>&#160;</div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>&#160; <span class="comment">// Multiply the lowest limb of y by x.</span></div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>&#160; carry = 0;</div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>&#160; word = y[0];</div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>&#160; xx = x;</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>&#160; rr = result;</div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt; xcount; ++i) {</div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>&#160; carry += ((dlimb_t)(*xx++)) * word;</div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>&#160; *rr++ = (limb_t)carry;</div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span>&#160; carry &gt;&gt;= LIMB_BITS;</div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>&#160; }</div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>&#160; *rr = (limb_t)carry;</div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>&#160;</div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>&#160; <span class="comment">// Multiply and add the remaining limbs of y by x.</span></div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>&#160; <span class="keywordflow">for</span> (i = 1; i &lt; ycount; ++i) {</div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>&#160; word = y[i];</div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>&#160; carry = 0;</div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>&#160; xx = x;</div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>&#160; rr = result + i;</div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>&#160; <span class="keywordflow">for</span> (j = 0; j &lt; xcount; ++j) {</div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>&#160; carry += ((dlimb_t)(*xx++)) * word;</div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>&#160; carry += *rr;</div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>&#160; *rr++ = (limb_t)carry;</div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>&#160; carry &gt;&gt;= LIMB_BITS;</div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>&#160; }</div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>&#160; *rr = (limb_t)carry;</div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>&#160; }</div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>&#160;}</div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>&#160;</div>
<div class="line"><a name="l00484"></a><span class="lineno"><a class="line" href="classBigNumberUtil.html#a5af5f50c91594183da4e079d76702d34"> 484</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classBigNumberUtil.html#a5af5f50c91594183da4e079d76702d34">BigNumberUtil::reduceQuick</a>(limb_t *result, <span class="keyword">const</span> limb_t *x,</div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>&#160; <span class="keyword">const</span> limb_t *y, <span class="keywordtype">size_t</span> size)</div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>&#160;{</div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>&#160; <span class="comment">// Subtract &quot;y&quot; from &quot;x&quot; and turn the borrow into an AND mask.</span></div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>&#160; limb_t mask = <a class="code" href="classBigNumberUtil.html#a6618e03bfcb3086961df508b40cc1e67">sub</a>(result, x, y, size);</div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span>&#160; mask = (~mask) + 1;</div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>&#160;</div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>&#160; <span class="comment">// Add &quot;y&quot; back to the result if the mask is non-zero.</span></div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>&#160; dlimb_t carry = 0;</div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>&#160; <span class="keywordflow">while</span> (size &gt; 0) {</div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>&#160; carry += *result;</div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>&#160; carry += (*y++ &amp; mask);</div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>&#160; *result++ = (limb_t)carry;</div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>&#160; carry &gt;&gt;= LIMB_BITS;</div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span>&#160; --size;</div>
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>&#160; }</div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>&#160;}</div>
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>&#160;</div>
<div class="line"><a name="l00514"></a><span class="lineno"><a class="line" href="classBigNumberUtil.html#ab9a9f532fcfc182433adac44d8e4ee20"> 514</a></span>&#160;limb_t <a class="code" href="classBigNumberUtil.html#ab9a9f532fcfc182433adac44d8e4ee20">BigNumberUtil::add_P</a>(limb_t *result, <span class="keyword">const</span> limb_t *x,</div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>&#160; <span class="keyword">const</span> limb_t *y, <span class="keywordtype">size_t</span> size)</div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>&#160;{</div>
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>&#160; dlimb_t carry = 0;</div>
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>&#160; <span class="keywordflow">while</span> (size &gt; 0) {</div>
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>&#160; carry += *x++;</div>
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>&#160; carry += pgm_read_limb(y++);</div>
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>&#160; *result++ = (limb_t)carry;</div>
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>&#160; carry &gt;&gt;= LIMB_BITS;</div>
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>&#160; --size;</div>
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>&#160; }</div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>&#160; <span class="keywordflow">return</span> (limb_t)carry;</div>
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>&#160;}</div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>&#160;</div>
<div class="line"><a name="l00541"></a><span class="lineno"><a class="line" href="classBigNumberUtil.html#af0fa1527647af42b65eda6b0aab982b3"> 541</a></span>&#160;limb_t <a class="code" href="classBigNumberUtil.html#af0fa1527647af42b65eda6b0aab982b3">BigNumberUtil::sub_P</a>(limb_t *result, <span class="keyword">const</span> limb_t *x,</div>
<div class="line"><a name="l00542"></a><span class="lineno"> 542</span>&#160; <span class="keyword">const</span> limb_t *y, <span class="keywordtype">size_t</span> size)</div>
<div class="line"><a name="l00543"></a><span class="lineno"> 543</span>&#160;{</div>
<div class="line"><a name="l00544"></a><span class="lineno"> 544</span>&#160; dlimb_t borrow = 0;</div>
<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>&#160; <span class="keywordflow">while</span> (size &gt; 0) {</div>
<div class="line"><a name="l00546"></a><span class="lineno"> 546</span>&#160; borrow = ((dlimb_t)(*x++)) - pgm_read_limb(y++) - ((borrow &gt;&gt; LIMB_BITS) &amp; 0x01);</div>
<div class="line"><a name="l00547"></a><span class="lineno"> 547</span>&#160; *result++ = (limb_t)borrow;</div>
<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>&#160; --size;</div>
<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>&#160; }</div>
<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>&#160; <span class="keywordflow">return</span> ((limb_t)(borrow &gt;&gt; LIMB_BITS)) &amp; 0x01;</div>
<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>&#160;}</div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>&#160;</div>
<div class="line"><a name="l00566"></a><span class="lineno"><a class="line" href="classBigNumberUtil.html#aacdee1806a239eb9e58753ef1ddb964a"> 566</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classBigNumberUtil.html#aacdee1806a239eb9e58753ef1ddb964a">BigNumberUtil::mul_P</a>(limb_t *result, <span class="keyword">const</span> limb_t *x, <span class="keywordtype">size_t</span> xcount,</div>
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>&#160; <span class="keyword">const</span> limb_t *y, <span class="keywordtype">size_t</span> ycount)</div>
<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>&#160;{</div>
<div class="line"><a name="l00569"></a><span class="lineno"> 569</span>&#160; <span class="keywordtype">size_t</span> i, j;</div>
<div class="line"><a name="l00570"></a><span class="lineno"> 570</span>&#160; dlimb_t carry;</div>
<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>&#160; limb_t word;</div>
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>&#160; <span class="keyword">const</span> limb_t *xx;</div>
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>&#160; limb_t *rr;</div>
<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>&#160;</div>
<div class="line"><a name="l00575"></a><span class="lineno"> 575</span>&#160; <span class="comment">// Multiply the lowest limb of y by x.</span></div>
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>&#160; carry = 0;</div>
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>&#160; word = pgm_read_limb(&amp;(y[0]));</div>
<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>&#160; xx = x;</div>
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>&#160; rr = result;</div>
<div class="line"><a name="l00580"></a><span class="lineno"> 580</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt; xcount; ++i) {</div>
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>&#160; carry += ((dlimb_t)(*xx++)) * word;</div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>&#160; *rr++ = (limb_t)carry;</div>
<div class="line"><a name="l00583"></a><span class="lineno"> 583</span>&#160; carry &gt;&gt;= LIMB_BITS;</div>
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>&#160; }</div>
<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>&#160; *rr = (limb_t)carry;</div>
<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>&#160;</div>
<div class="line"><a name="l00587"></a><span class="lineno"> 587</span>&#160; <span class="comment">// Multiply and add the remaining limb of y by x.</span></div>
<div class="line"><a name="l00588"></a><span class="lineno"> 588</span>&#160; <span class="keywordflow">for</span> (i = 1; i &lt; ycount; ++i) {</div>
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span>&#160; word = pgm_read_limb(&amp;(y[i]));</div>
<div class="line"><a name="l00590"></a><span class="lineno"> 590</span>&#160; carry = 0;</div>
<div class="line"><a name="l00591"></a><span class="lineno"> 591</span>&#160; xx = x;</div>
<div class="line"><a name="l00592"></a><span class="lineno"> 592</span>&#160; rr = result + i;</div>
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span>&#160; <span class="keywordflow">for</span> (j = 0; j &lt; xcount; ++j) {</div>
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span>&#160; carry += ((dlimb_t)(*xx++)) * word;</div>
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span>&#160; carry += *rr;</div>
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>&#160; *rr++ = (limb_t)carry;</div>
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>&#160; carry &gt;&gt;= LIMB_BITS;</div>
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>&#160; }</div>
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span>&#160; *rr = (limb_t)carry;</div>
<div class="line"><a name="l00600"></a><span class="lineno"> 600</span>&#160; }</div>
<div class="line"><a name="l00601"></a><span class="lineno"> 601</span>&#160;}</div>
<div class="line"><a name="l00602"></a><span class="lineno"> 602</span>&#160;</div>
<div class="line"><a name="l00620"></a><span class="lineno"><a class="line" href="classBigNumberUtil.html#a00c9cde0b626788a60552a6bc9ce058b"> 620</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classBigNumberUtil.html#a00c9cde0b626788a60552a6bc9ce058b">BigNumberUtil::reduceQuick_P</a>(limb_t *result, <span class="keyword">const</span> limb_t *x,</div>
<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>&#160; <span class="keyword">const</span> limb_t *y, <span class="keywordtype">size_t</span> size)</div>
<div class="line"><a name="l00622"></a><span class="lineno"> 622</span>&#160;{</div>
<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>&#160; <span class="comment">// Subtract &quot;y&quot; from &quot;x&quot; and turn the borrow into an AND mask.</span></div>
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>&#160; limb_t mask = <a class="code" href="classBigNumberUtil.html#af0fa1527647af42b65eda6b0aab982b3">sub_P</a>(result, x, y, size);</div>
<div class="line"><a name="l00625"></a><span class="lineno"> 625</span>&#160; mask = (~mask) + 1;</div>
<div class="line"><a name="l00626"></a><span class="lineno"> 626</span>&#160;</div>
<div class="line"><a name="l00627"></a><span class="lineno"> 627</span>&#160; <span class="comment">// Add &quot;y&quot; back to the result if the mask is non-zero.</span></div>
<div class="line"><a name="l00628"></a><span class="lineno"> 628</span>&#160; dlimb_t carry = 0;</div>
<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>&#160; <span class="keywordflow">while</span> (size &gt; 0) {</div>
<div class="line"><a name="l00630"></a><span class="lineno"> 630</span>&#160; carry += *result;</div>
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>&#160; carry += (pgm_read_limb(y++) &amp; mask);</div>
<div class="line"><a name="l00632"></a><span class="lineno"> 632</span>&#160; *result++ = (limb_t)carry;</div>
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span>&#160; carry &gt;&gt;= LIMB_BITS;</div>
<div class="line"><a name="l00634"></a><span class="lineno"> 634</span>&#160; --size;</div>
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>&#160; }</div>
<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>&#160;}</div>
<div class="ttc" id="classBigNumberUtil_html_a00c9cde0b626788a60552a6bc9ce058b"><div class="ttname"><a href="classBigNumberUtil.html#a00c9cde0b626788a60552a6bc9ce058b">BigNumberUtil::reduceQuick_P</a></div><div class="ttdeci">static void reduceQuick_P(limb_t *result, const limb_t *x, const limb_t *y, size_t size)</div><div class="ttdoc">Reduces x modulo y using subtraction where y is in program memory. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00620">BigNumberUtil.cpp:620</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_aa6904b2727af6b767fe041b1b7f27414"><div class="ttname"><a href="classBigNumberUtil.html#aa6904b2727af6b767fe041b1b7f27414">BigNumberUtil::add</a></div><div class="ttdeci">static limb_t add(limb_t *result, const limb_t *x, const limb_t *y, size_t size)</div><div class="ttdoc">Adds two big numbers. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00381">BigNumberUtil.cpp:381</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_af0fa1527647af42b65eda6b0aab982b3"><div class="ttname"><a href="classBigNumberUtil.html#af0fa1527647af42b65eda6b0aab982b3">BigNumberUtil::sub_P</a></div><div class="ttdeci">static limb_t sub_P(limb_t *result, const limb_t *x, const limb_t *y, size_t size)</div><div class="ttdoc">Subtracts one big number from another where one is in program memory. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00541">BigNumberUtil.cpp:541</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_a5af5f50c91594183da4e079d76702d34"><div class="ttname"><a href="classBigNumberUtil.html#a5af5f50c91594183da4e079d76702d34">BigNumberUtil::reduceQuick</a></div><div class="ttdeci">static void reduceQuick(limb_t *result, const limb_t *x, const limb_t *y, size_t size)</div><div class="ttdoc">Reduces x modulo y using subtraction. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00484">BigNumberUtil.cpp:484</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_a6618e03bfcb3086961df508b40cc1e67"><div class="ttname"><a href="classBigNumberUtil.html#a6618e03bfcb3086961df508b40cc1e67">BigNumberUtil::sub</a></div><div class="ttdeci">static limb_t sub(limb_t *result, const limb_t *x, const limb_t *y, size_t size)</div><div class="ttdoc">Subtracts one big number from another. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00408">BigNumberUtil.cpp:408</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_aacdee1806a239eb9e58753ef1ddb964a"><div class="ttname"><a href="classBigNumberUtil.html#aacdee1806a239eb9e58753ef1ddb964a">BigNumberUtil::mul_P</a></div><div class="ttdeci">static void mul_P(limb_t *result, const limb_t *x, size_t xcount, const limb_t *y, size_t ycount)</div><div class="ttdoc">Multiplies two big numbers where one is in program memory. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00566">BigNumberUtil.cpp:566</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_af49dd38173ea0310776d283aabea2ba0"><div class="ttname"><a href="classBigNumberUtil.html#af49dd38173ea0310776d283aabea2ba0">BigNumberUtil::packBE</a></div><div class="ttdeci">static void packBE(uint8_t *bytes, size_t len, const limb_t *limbs, size_t count)</div><div class="ttdoc">Packs the big-endian byte representation of a big number into a byte array. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00294">BigNumberUtil.cpp:294</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_a25041f898c417c8dd63f30536287ed79"><div class="ttname"><a href="classBigNumberUtil.html#a25041f898c417c8dd63f30536287ed79">BigNumberUtil::unpackLE</a></div><div class="ttdeci">static void unpackLE(limb_t *limbs, size_t count, const uint8_t *bytes, size_t len)</div><div class="ttdoc">Unpacks the little-endian byte representation of a big number into a limb array. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00055">BigNumberUtil.cpp:55</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_a1c2c5484f2bf440ae292fd3dfd2d594f"><div class="ttname"><a href="classBigNumberUtil.html#a1c2c5484f2bf440ae292fd3dfd2d594f">BigNumberUtil::mul</a></div><div class="ttdeci">static void mul(limb_t *result, const limb_t *x, size_t xcount, const limb_t *y, size_t ycount)</div><div class="ttdoc">Multiplies two big numbers. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00432">BigNumberUtil.cpp:432</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_a63f9d7884eb36227d39e1b95e219d865"><div class="ttname"><a href="classBigNumberUtil.html#a63f9d7884eb36227d39e1b95e219d865">BigNumberUtil::unpackBE</a></div><div class="ttdeci">static void unpackBE(limb_t *limbs, size_t count, const uint8_t *bytes, size_t len)</div><div class="ttdoc">Unpacks the big-endian byte representation of a big number into a limb array. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00134">BigNumberUtil.cpp:134</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_a989cd5f389ac5adc798d8767383e2810"><div class="ttname"><a href="classBigNumberUtil.html#a989cd5f389ac5adc798d8767383e2810">BigNumberUtil::packLE</a></div><div class="ttdeci">static void packLE(uint8_t *bytes, size_t len, const limb_t *limbs, size_t count)</div><div class="ttdoc">Packs the little-endian byte representation of a big number into a byte array. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00208">BigNumberUtil.cpp:208</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_ab9a9f532fcfc182433adac44d8e4ee20"><div class="ttname"><a href="classBigNumberUtil.html#ab9a9f532fcfc182433adac44d8e4ee20">BigNumberUtil::add_P</a></div><div class="ttdeci">static limb_t add_P(limb_t *result, const limb_t *x, const limb_t *y, size_t size)</div><div class="ttdoc">Adds two big numbers where one of them is in program memory. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00514">BigNumberUtil.cpp:514</a></div></div>
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@ -151,22 +151,48 @@ var searchBox = new SearchBox("searchBox", "search",false,'Search');
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classBigNumberUtil.html#af49dd38173ea0310776d283aabea2ba0">packBE</a>(uint8_t *bytes, <span class="keywordtype">size_t</span> len,</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; <span class="keyword">const</span> limb_t *limbs, <span class="keywordtype">size_t</span> count);</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160;</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160;<span class="keyword">private</span>:</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; <span class="comment">// Constructor and destructor are private - cannot instantiate this class.</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; <a class="code" href="classBigNumberUtil.html">BigNumberUtil</a>() {}</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; ~<a class="code" href="classBigNumberUtil.html">BigNumberUtil</a>() {}</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160;};</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <span class="keyword">static</span> limb_t <a class="code" href="classBigNumberUtil.html#aa6904b2727af6b767fe041b1b7f27414">add</a>(limb_t *result, <span class="keyword">const</span> limb_t *x,</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; <span class="keyword">const</span> limb_t *y, <span class="keywordtype">size_t</span> size);</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; <span class="keyword">static</span> limb_t <a class="code" href="classBigNumberUtil.html#a6618e03bfcb3086961df508b40cc1e67">sub</a>(limb_t *result, <span class="keyword">const</span> limb_t *x,</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; <span class="keyword">const</span> limb_t *y, <span class="keywordtype">size_t</span> size);</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classBigNumberUtil.html#a1c2c5484f2bf440ae292fd3dfd2d594f">mul</a>(limb_t *result, <span class="keyword">const</span> limb_t *x, <span class="keywordtype">size_t</span> xcount,</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <span class="keyword">const</span> limb_t *y, <span class="keywordtype">size_t</span> ycount);</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classBigNumberUtil.html#a5af5f50c91594183da4e079d76702d34">reduceQuick</a>(limb_t *result, <span class="keyword">const</span> limb_t *x,</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; <span class="keyword">const</span> limb_t *y, <span class="keywordtype">size_t</span> size);</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160;</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; <span class="keyword">static</span> limb_t <a class="code" href="classBigNumberUtil.html#ab9a9f532fcfc182433adac44d8e4ee20">add_P</a>(limb_t *result, <span class="keyword">const</span> limb_t *x,</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; <span class="keyword">const</span> limb_t *y, <span class="keywordtype">size_t</span> size);</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; <span class="keyword">static</span> limb_t <a class="code" href="classBigNumberUtil.html#af0fa1527647af42b65eda6b0aab982b3">sub_P</a>(limb_t *result, <span class="keyword">const</span> limb_t *x,</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; <span class="keyword">const</span> limb_t *y, <span class="keywordtype">size_t</span> size);</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classBigNumberUtil.html#aacdee1806a239eb9e58753ef1ddb964a">mul_P</a>(limb_t *result, <span class="keyword">const</span> limb_t *x, <span class="keywordtype">size_t</span> xcount,</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; <span class="keyword">const</span> limb_t *y, <span class="keywordtype">size_t</span> ycount);</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classBigNumberUtil.html#a00c9cde0b626788a60552a6bc9ce058b">reduceQuick_P</a>(limb_t *result, <span class="keyword">const</span> limb_t *x,</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <span class="keyword">const</span> limb_t *y, <span class="keywordtype">size_t</span> size);</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160;</div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; <a class="code" href="classBigNumberUtil.html">BigNumberUtil</a>() {}</div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160;</div>
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<div class="ttc" id="classBigNumberUtil_html_a00c9cde0b626788a60552a6bc9ce058b"><div class="ttname"><a href="classBigNumberUtil.html#a00c9cde0b626788a60552a6bc9ce058b">BigNumberUtil::reduceQuick_P</a></div><div class="ttdeci">static void reduceQuick_P(limb_t *result, const limb_t *x, const limb_t *y, size_t size)</div><div class="ttdoc">Reduces x modulo y using subtraction where y is in program memory. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00620">BigNumberUtil.cpp:620</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_aa6904b2727af6b767fe041b1b7f27414"><div class="ttname"><a href="classBigNumberUtil.html#aa6904b2727af6b767fe041b1b7f27414">BigNumberUtil::add</a></div><div class="ttdeci">static limb_t add(limb_t *result, const limb_t *x, const limb_t *y, size_t size)</div><div class="ttdoc">Adds two big numbers. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00381">BigNumberUtil.cpp:381</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_af0fa1527647af42b65eda6b0aab982b3"><div class="ttname"><a href="classBigNumberUtil.html#af0fa1527647af42b65eda6b0aab982b3">BigNumberUtil::sub_P</a></div><div class="ttdeci">static limb_t sub_P(limb_t *result, const limb_t *x, const limb_t *y, size_t size)</div><div class="ttdoc">Subtracts one big number from another where one is in program memory. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00541">BigNumberUtil.cpp:541</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_a5af5f50c91594183da4e079d76702d34"><div class="ttname"><a href="classBigNumberUtil.html#a5af5f50c91594183da4e079d76702d34">BigNumberUtil::reduceQuick</a></div><div class="ttdeci">static void reduceQuick(limb_t *result, const limb_t *x, const limb_t *y, size_t size)</div><div class="ttdoc">Reduces x modulo y using subtraction. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00484">BigNumberUtil.cpp:484</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_a6618e03bfcb3086961df508b40cc1e67"><div class="ttname"><a href="classBigNumberUtil.html#a6618e03bfcb3086961df508b40cc1e67">BigNumberUtil::sub</a></div><div class="ttdeci">static limb_t sub(limb_t *result, const limb_t *x, const limb_t *y, size_t size)</div><div class="ttdoc">Subtracts one big number from another. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00408">BigNumberUtil.cpp:408</a></div></div>
<div class="ttc" id="classBigNumberUtil_html"><div class="ttname"><a href="classBigNumberUtil.html">BigNumberUtil</a></div><div class="ttdoc">Utilities to assist with implementing big number arithmetic. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8h_source.html#l00052">BigNumberUtil.h:52</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_af49dd38173ea0310776d283aabea2ba0"><div class="ttname"><a href="classBigNumberUtil.html#af49dd38173ea0310776d283aabea2ba0">BigNumberUtil::packBE</a></div><div class="ttdeci">static void packBE(uint8_t *bytes, size_t len, const limb_t *limbs, size_t count)</div><div class="ttdoc">Packs the big-endian byte representation of a big number into a byte array. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00293">BigNumberUtil.cpp:293</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_a25041f898c417c8dd63f30536287ed79"><div class="ttname"><a href="classBigNumberUtil.html#a25041f898c417c8dd63f30536287ed79">BigNumberUtil::unpackLE</a></div><div class="ttdeci">static void unpackLE(limb_t *limbs, size_t count, const uint8_t *bytes, size_t len)</div><div class="ttdoc">Unpacks the little-endian byte representation of a big number into a limb array. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00054">BigNumberUtil.cpp:54</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_a63f9d7884eb36227d39e1b95e219d865"><div class="ttname"><a href="classBigNumberUtil.html#a63f9d7884eb36227d39e1b95e219d865">BigNumberUtil::unpackBE</a></div><div class="ttdeci">static void unpackBE(limb_t *limbs, size_t count, const uint8_t *bytes, size_t len)</div><div class="ttdoc">Unpacks the big-endian byte representation of a big number into a limb array. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00133">BigNumberUtil.cpp:133</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_a989cd5f389ac5adc798d8767383e2810"><div class="ttname"><a href="classBigNumberUtil.html#a989cd5f389ac5adc798d8767383e2810">BigNumberUtil::packLE</a></div><div class="ttdeci">static void packLE(uint8_t *bytes, size_t len, const limb_t *limbs, size_t count)</div><div class="ttdoc">Packs the little-endian byte representation of a big number into a byte array. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00207">BigNumberUtil.cpp:207</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_aacdee1806a239eb9e58753ef1ddb964a"><div class="ttname"><a href="classBigNumberUtil.html#aacdee1806a239eb9e58753ef1ddb964a">BigNumberUtil::mul_P</a></div><div class="ttdeci">static void mul_P(limb_t *result, const limb_t *x, size_t xcount, const limb_t *y, size_t ycount)</div><div class="ttdoc">Multiplies two big numbers where one is in program memory. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00566">BigNumberUtil.cpp:566</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_af49dd38173ea0310776d283aabea2ba0"><div class="ttname"><a href="classBigNumberUtil.html#af49dd38173ea0310776d283aabea2ba0">BigNumberUtil::packBE</a></div><div class="ttdeci">static void packBE(uint8_t *bytes, size_t len, const limb_t *limbs, size_t count)</div><div class="ttdoc">Packs the big-endian byte representation of a big number into a byte array. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00294">BigNumberUtil.cpp:294</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_a25041f898c417c8dd63f30536287ed79"><div class="ttname"><a href="classBigNumberUtil.html#a25041f898c417c8dd63f30536287ed79">BigNumberUtil::unpackLE</a></div><div class="ttdeci">static void unpackLE(limb_t *limbs, size_t count, const uint8_t *bytes, size_t len)</div><div class="ttdoc">Unpacks the little-endian byte representation of a big number into a limb array. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00055">BigNumberUtil.cpp:55</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_a1c2c5484f2bf440ae292fd3dfd2d594f"><div class="ttname"><a href="classBigNumberUtil.html#a1c2c5484f2bf440ae292fd3dfd2d594f">BigNumberUtil::mul</a></div><div class="ttdeci">static void mul(limb_t *result, const limb_t *x, size_t xcount, const limb_t *y, size_t ycount)</div><div class="ttdoc">Multiplies two big numbers. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00432">BigNumberUtil.cpp:432</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_a63f9d7884eb36227d39e1b95e219d865"><div class="ttname"><a href="classBigNumberUtil.html#a63f9d7884eb36227d39e1b95e219d865">BigNumberUtil::unpackBE</a></div><div class="ttdeci">static void unpackBE(limb_t *limbs, size_t count, const uint8_t *bytes, size_t len)</div><div class="ttdoc">Unpacks the big-endian byte representation of a big number into a limb array. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00134">BigNumberUtil.cpp:134</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_a989cd5f389ac5adc798d8767383e2810"><div class="ttname"><a href="classBigNumberUtil.html#a989cd5f389ac5adc798d8767383e2810">BigNumberUtil::packLE</a></div><div class="ttdeci">static void packLE(uint8_t *bytes, size_t len, const limb_t *limbs, size_t count)</div><div class="ttdoc">Packs the little-endian byte representation of a big number into a byte array. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00208">BigNumberUtil.cpp:208</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_ab9a9f532fcfc182433adac44d8e4ee20"><div class="ttname"><a href="classBigNumberUtil.html#ab9a9f532fcfc182433adac44d8e4ee20">BigNumberUtil::add_P</a></div><div class="ttdeci">static limb_t add_P(limb_t *result, const limb_t *x, const limb_t *y, size_t size)</div><div class="ttdoc">Adds two big numbers where one of them is in program memory. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00514">BigNumberUtil.cpp:514</a></div></div>
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<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160; clean(state);</div>
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<div class="ttc" id="classPoly1305_html_a544839403d0a19300c239708bc1e6ed8"><div class="ttname"><a href="classPoly1305.html#a544839403d0a19300c239708bc1e6ed8">Poly1305::reset</a></div><div class="ttdeci">void reset(const void *key)</div><div class="ttdoc">Resets the Poly1305 message authenticator for a new session. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00111">Poly1305.cpp:111</a></div></div>
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<div class="ttc" id="classChaChaPoly_html_a7df4acd04f459ecf9d3b24317bde94a3"><div class="ttname"><a href="classChaChaPoly.html#a7df4acd04f459ecf9d3b24317bde94a3">ChaChaPoly::encrypt</a></div><div class="ttdeci">void encrypt(uint8_t *output, const uint8_t *input, size_t len)</div><div class="ttdoc">Encrypts an input buffer and writes the ciphertext to an output buffer. </div><div class="ttdef"><b>Definition:</b> <a href="ChaChaPoly_8cpp_source.html#l00104">ChaChaPoly.cpp:104</a></div></div>
<div class="ttc" id="classChaChaPoly_html_ac3ebfaaaffe9d607905681949e75140d"><div class="ttname"><a href="classChaChaPoly.html#ac3ebfaaaffe9d607905681949e75140d">ChaChaPoly::ivSize</a></div><div class="ttdeci">size_t ivSize() const </div><div class="ttdoc">Size of the initialization vector for this cipher, in bytes. </div></div>
<div class="ttc" id="classPoly1305_html_ae4e0b647ff93f501bd01459b1616557c"><div class="ttname"><a href="classPoly1305.html#ae4e0b647ff93f501bd01459b1616557c">Poly1305::update</a></div><div class="ttdeci">void update(const void *data, size_t len)</div><div class="ttdoc">Updates the message authenticator with more data. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00143">Poly1305.cpp:143</a></div></div>
<div class="ttc" id="classPoly1305_html_ae4e0b647ff93f501bd01459b1616557c"><div class="ttname"><a href="classPoly1305.html#ae4e0b647ff93f501bd01459b1616557c">Poly1305::update</a></div><div class="ttdeci">void update(const void *data, size_t len)</div><div class="ttdoc">Updates the message authenticator with more data. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00142">Poly1305.cpp:142</a></div></div>
<div class="ttc" id="classChaCha_html_af533905f679066c41f4d6cd76bddb4cb"><div class="ttname"><a href="classChaCha.html#af533905f679066c41f4d6cd76bddb4cb">ChaCha::clear</a></div><div class="ttdeci">void clear()</div><div class="ttdoc">Clears all security-sensitive state from this cipher. </div><div class="ttdef"><b>Definition:</b> <a href="ChaCha_8cpp_source.html#l00218">ChaCha.cpp:218</a></div></div>
<div class="ttc" id="classChaChaPoly_html_a2d7fc3fd05a0b6c7c9c21fff6e939c9a"><div class="ttname"><a href="classChaChaPoly.html#a2d7fc3fd05a0b6c7c9c21fff6e939c9a">ChaChaPoly::clear</a></div><div class="ttdeci">void clear()</div><div class="ttdoc">Clears all security-sensitive state from this cipher. </div><div class="ttdef"><b>Definition:</b> <a href="ChaChaPoly_8cpp_source.html#l00163">ChaChaPoly.cpp:163</a></div></div>
<div class="ttc" id="classChaChaPoly_html_a42f556f202b1166486434ee15b6d95a0"><div class="ttname"><a href="classChaChaPoly.html#a42f556f202b1166486434ee15b6d95a0">ChaChaPoly::decrypt</a></div><div class="ttdeci">void decrypt(uint8_t *output, const uint8_t *input, size_t len)</div><div class="ttdoc">Decrypts an input buffer and writes the plaintext to an output buffer. </div><div class="ttdef"><b>Definition:</b> <a href="ChaChaPoly_8cpp_source.html#l00115">ChaChaPoly.cpp:115</a></div></div>
<div class="ttc" id="classPoly1305_html_aaea2f40c1f22dcc2f8f690c793fb4388"><div class="ttname"><a href="classPoly1305.html#aaea2f40c1f22dcc2f8f690c793fb4388">Poly1305::pad</a></div><div class="ttdeci">void pad()</div><div class="ttdoc">Pads the input stream with zero bytes to a multiple of 16. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00251">Poly1305.cpp:251</a></div></div>
<div class="ttc" id="classPoly1305_html_ae3f3392b9a2bd0f3472e7e50dd7e21dd"><div class="ttname"><a href="classPoly1305.html#ae3f3392b9a2bd0f3472e7e50dd7e21dd">Poly1305::clear</a></div><div class="ttdeci">void clear()</div><div class="ttdoc">Clears the authenticator&#39;s state, removing all sensitive data. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00265">Poly1305.cpp:265</a></div></div>
<div class="ttc" id="classPoly1305_html_aaea2f40c1f22dcc2f8f690c793fb4388"><div class="ttname"><a href="classPoly1305.html#aaea2f40c1f22dcc2f8f690c793fb4388">Poly1305::pad</a></div><div class="ttdeci">void pad()</div><div class="ttdoc">Pads the input stream with zero bytes to a multiple of 16. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00250">Poly1305.cpp:250</a></div></div>
<div class="ttc" id="classPoly1305_html_ae3f3392b9a2bd0f3472e7e50dd7e21dd"><div class="ttname"><a href="classPoly1305.html#ae3f3392b9a2bd0f3472e7e50dd7e21dd">Poly1305::clear</a></div><div class="ttdeci">void clear()</div><div class="ttdoc">Clears the authenticator&#39;s state, removing all sensitive data. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00264">Poly1305.cpp:264</a></div></div>
<div class="ttc" id="classChaChaPoly_html_ae300892647dd92cbce711b834aa20c09"><div class="ttname"><a href="classChaChaPoly.html#ae300892647dd92cbce711b834aa20c09">ChaChaPoly::setKey</a></div><div class="ttdeci">bool setKey(const uint8_t *key, size_t len)</div><div class="ttdoc">Sets the key to use for future encryption and decryption operations. </div><div class="ttdef"><b>Definition:</b> <a href="ChaChaPoly_8cpp_source.html#l00079">ChaChaPoly.cpp:79</a></div></div>
<div class="ttc" id="classChaChaPoly_html_aeffb3e0df0b4da03f72f30251243d953"><div class="ttname"><a href="classChaChaPoly.html#aeffb3e0df0b4da03f72f30251243d953">ChaChaPoly::checkTag</a></div><div class="ttdeci">bool checkTag(const void *tag, size_t len)</div><div class="ttdoc">Finalizes the decryption process and checks the authentication tag. </div><div class="ttdef"><b>Definition:</b> <a href="ChaChaPoly_8cpp_source.html#l00149">ChaChaPoly.cpp:149</a></div></div>
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@ -115,53 +115,65 @@ var searchBox = new SearchBox("searchBox", "search",false,'Search');
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="preprocessor"></span></div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160;</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classCurve25519.html#a2b6911583d17ea9a36bbbb40d58b3d89">dh1</a>(uint8_t k[32], uint8_t f[32]);</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; <span class="keyword">static</span> <span class="keywordtype">bool</span> <a class="code" href="classCurve25519.html#a14022d6ac68ec691ffb0247275078ab9">dh2</a>(uint8_t k[32], uint8_t f[32]);</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160;</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160;<span class="preprocessor">#if defined(TEST_CURVE25519_FIELD_OPS)</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160;<span class="preprocessor"></span><span class="keyword">public</span>:</div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160;<span class="preprocessor"></span> <span class="keyword">static</span> uint8_t isWeakPoint(<span class="keyword">const</span> uint8_t k[32]);</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160;</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> reduce(limb_t *result, limb_t *x, uint8_t size);</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; <span class="keyword">static</span> limb_t reduceQuick(limb_t *x);</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> mulNoReduce(limb_t *result, <span class="keyword">const</span> limb_t *x, <span class="keyword">const</span> limb_t *y);</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160;</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> mul(limb_t *result, <span class="keyword">const</span> limb_t *x, <span class="keyword">const</span> limb_t *y);</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> square(limb_t *result, <span class="keyword">const</span> limb_t *x)</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; {</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; mul(result, x, x);</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; }</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160;</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> mulA24(limb_t *result, <span class="keyword">const</span> limb_t *x);</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160;</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> mul_P(limb_t *result, <span class="keyword">const</span> limb_t *x, <span class="keyword">const</span> limb_t *y);</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160;</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> add(limb_t *result, <span class="keyword">const</span> limb_t *x, <span class="keyword">const</span> limb_t *y);</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> sub(limb_t *result, <span class="keyword">const</span> limb_t *x, <span class="keyword">const</span> limb_t *y);</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160;</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> cswap(limb_t select, limb_t *x, limb_t *y);</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> cmove(limb_t select, limb_t *x, <span class="keyword">const</span> limb_t *y);</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160;</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="ttc" id="classCurve25519_html"><div class="ttname"><a href="classCurve25519.html">Curve25519</a></div><div class="ttdoc">Diffie-Hellman key agreement based on the elliptic curve modulo 2^255 - 19. </div><div class="ttdef"><b>Definition:</b> <a href="Curve25519_8h_source.html#l00028">Curve25519.h:28</a></div></div>
<div class="ttc" id="classCurve25519_html_a2e4b7dd83a019b32c76584c99bfda21a"><div class="ttname"><a href="classCurve25519.html#a2e4b7dd83a019b32c76584c99bfda21a">Curve25519::eval</a></div><div class="ttdeci">static bool eval(uint8_t result[32], const uint8_t s[32], const uint8_t x[32])</div><div class="ttdoc">Evaluates the raw Curve25519 function. </div><div class="ttdef"><b>Definition:</b> <a href="Curve25519_8cpp_source.html#l00079">Curve25519.cpp:79</a></div></div>
<div class="ttc" id="classCurve25519_html_a2b6911583d17ea9a36bbbb40d58b3d89"><div class="ttname"><a href="classCurve25519.html#a2b6911583d17ea9a36bbbb40d58b3d89">Curve25519::dh1</a></div><div class="ttdeci">static void dh1(uint8_t k[32], uint8_t f[32])</div><div class="ttdoc">Performs phase 1 of a Diffie-Hellman key exchange using Curve25519. </div><div class="ttdef"><b>Definition:</b> <a href="Curve25519_8cpp_source.html#l00244">Curve25519.cpp:244</a></div></div>
<div class="ttc" id="classCurve25519_html_a14022d6ac68ec691ffb0247275078ab9"><div class="ttname"><a href="classCurve25519.html#a14022d6ac68ec691ffb0247275078ab9">Curve25519::dh2</a></div><div class="ttdeci">static bool dh2(uint8_t k[32], uint8_t f[32])</div><div class="ttdoc">Performs phase 2 of a Diffie-Hellman key exchange using Curve25519. </div><div class="ttdef"><b>Definition:</b> <a href="Curve25519_8cpp_source.html#l00282">Curve25519.cpp:282</a></div></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> pow250(limb_t *result, <span class="keyword">const</span> limb_t *x);</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> recip(limb_t *result, <span class="keyword">const</span> limb_t *x);</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="keyword">static</span> <span class="keywordtype">bool</span> sqrt(limb_t *result, <span class="keyword">const</span> limb_t *x);</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; <span class="comment">// Constructor and destructor are private - cannot instantiate this class.</span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; <a class="code" href="classCurve25519.html">Curve25519</a>() {}</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; ~<a class="code" href="classCurve25519.html">Curve25519</a>() {}</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160;</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; <span class="keyword">friend</span> <span class="keyword">class </span><a class="code" href="classEd25519.html">Ed25519</a>;</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160;};</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160;</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="ttc" id="classCurve25519_html"><div class="ttname"><a href="classCurve25519.html">Curve25519</a></div><div class="ttdoc">Diffie-Hellman key agreement based on the elliptic curve modulo 2^255 - 19. </div><div class="ttdef"><b>Definition:</b> <a href="Curve25519_8h_source.html#l00030">Curve25519.h:30</a></div></div>
<div class="ttc" id="classCurve25519_html_a2e4b7dd83a019b32c76584c99bfda21a"><div class="ttname"><a href="classCurve25519.html#a2e4b7dd83a019b32c76584c99bfda21a">Curve25519::eval</a></div><div class="ttdeci">static bool eval(uint8_t result[32], const uint8_t s[32], const uint8_t x[32])</div><div class="ttdoc">Evaluates the raw Curve25519 function. </div><div class="ttdef"><b>Definition:</b> <a href="Curve25519_8cpp_source.html#l00074">Curve25519.cpp:74</a></div></div>
<div class="ttc" id="classEd25519_html"><div class="ttname"><a href="classEd25519.html">Ed25519</a></div><div class="ttdoc">Digital signatures based on the elliptic curve modulo 2^255 - 19. </div><div class="ttdef"><b>Definition:</b> <a href="Ed25519_8h_source.html#l00029">Ed25519.h:29</a></div></div>
<div class="ttc" id="classCurve25519_html_a2b6911583d17ea9a36bbbb40d58b3d89"><div class="ttname"><a href="classCurve25519.html#a2b6911583d17ea9a36bbbb40d58b3d89">Curve25519::dh1</a></div><div class="ttdeci">static void dh1(uint8_t k[32], uint8_t f[32])</div><div class="ttdoc">Performs phase 1 of a Diffie-Hellman key exchange using Curve25519. </div><div class="ttdef"><b>Definition:</b> <a href="Curve25519_8cpp_source.html#l00239">Curve25519.cpp:239</a></div></div>
<div class="ttc" id="classCurve25519_html_a14022d6ac68ec691ffb0247275078ab9"><div class="ttname"><a href="classCurve25519.html#a14022d6ac68ec691ffb0247275078ab9">Curve25519::dh2</a></div><div class="ttdeci">static bool dh2(uint8_t k[32], uint8_t f[32])</div><div class="ttdoc">Performs phase 2 of a Diffie-Hellman key exchange using Curve25519. </div><div class="ttdef"><b>Definition:</b> <a href="Curve25519_8cpp_source.html#l00277">Curve25519.cpp:277</a></div></div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment"> * Copyright (C) 2015 Southern Storm Software, Pty Ltd.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment"> * Permission is hereby granted, free of charge, to any person obtaining a</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment"> * copy of this software and associated documentation files (the &quot;Software&quot;),</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment"> * to deal in the Software without restriction, including without limitation</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment"> * the rights to use, copy, modify, merge, publish, distribute, sublicense,</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment"> * and/or sell copies of the Software, and to permit persons to whom the</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment"> * Software is furnished to do so, subject to the following conditions:</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment"> * The above copyright notice and this permission notice shall be included</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="comment"> * in all copies or substantial portions of the Software.</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="comment"> * THE SOFTWARE IS PROVIDED &quot;AS IS&quot;, WITHOUT WARRANTY OF ANY KIND, EXPRESS</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="comment"> * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="comment"> * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="comment"> * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="comment"> * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="comment"> * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="comment"> * DEALINGS IN THE SOFTWARE.</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;</div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="preprocessor">#include &quot;Ed25519.h&quot;</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="preprocessor">#include &quot;Curve25519.h&quot;</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="preprocessor">#include &quot;Crypto.h&quot;</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="preprocessor">#include &quot;RNG.h&quot;</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="preprocessor">#include &quot;utility/LimbUtil.h&quot;</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#include &lt;string.h&gt;</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160;<span class="comment">// 37095705934669439343138083508754565189542113879843219016388785533085940283555</span></div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160;<span class="keyword">static</span> limb_t <span class="keyword">const</span> numD[NUM_LIMBS_256BIT] PROGMEM = {</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; LIMB(0x135978A3), LIMB(0x75EB4DCA), LIMB(0x4141D8AB), LIMB(0x00700A4D),</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; LIMB(0x7779E898), LIMB(0x8CC74079), LIMB(0x2B6FFE73), LIMB(0x52036CEE)</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160;};</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160;</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;<span class="comment">// d * 2</span></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160;<span class="keyword">static</span> limb_t <span class="keyword">const</span> numDx2[NUM_LIMBS_256BIT] PROGMEM = {</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; LIMB(0x26B2F159), LIMB(0xEBD69B94), LIMB(0x8283B156), LIMB(0x00E0149A),</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; LIMB(0xEEF3D130), LIMB(0x198E80F2), LIMB(0x56DFFCE7), LIMB(0x2406D9DC)</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160;};</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160;</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160;<span class="comment">// Extended homogenous co-ordinates for the base point.</span></div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160;<span class="keyword">static</span> limb_t <span class="keyword">const</span> numBx[NUM_LIMBS_256BIT] PROGMEM = {</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; LIMB(0x8F25D51A), LIMB(0xC9562D60), LIMB(0x9525A7B2), LIMB(0x692CC760),</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; LIMB(0xFDD6DC5C), LIMB(0xC0A4E231), LIMB(0xCD6E53FE), LIMB(0x216936D3)</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160;};</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160;<span class="keyword">static</span> limb_t <span class="keyword">const</span> numBy[NUM_LIMBS_256BIT] PROGMEM = {</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; LIMB(0x66666658), LIMB(0x66666666), LIMB(0x66666666), LIMB(0x66666666),</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; LIMB(0x66666666), LIMB(0x66666666), LIMB(0x66666666), LIMB(0x66666666)</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160;};</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160;<span class="keyword">static</span> limb_t <span class="keyword">const</span> numBz[NUM_LIMBS_256BIT] PROGMEM = {</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; LIMB(0x00000001), LIMB(0x00000000), LIMB(0x00000000), LIMB(0x00000000),</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; LIMB(0x00000000), LIMB(0x00000000), LIMB(0x00000000), LIMB(0x00000000)</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160;};</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160;<span class="keyword">static</span> limb_t <span class="keyword">const</span> numBt[NUM_LIMBS_256BIT] PROGMEM = {</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; LIMB(0xA5B7DDA3), LIMB(0x6DDE8AB3), LIMB(0x775152F5), LIMB(0x20F09F80),</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; LIMB(0x64ABE37D), LIMB(0x66EA4E8E), LIMB(0xD78B7665), LIMB(0x67875F0F)</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160;};</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160;<span class="comment">// 2^252 + 27742317777372353535851937790883648493</span></div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160;<span class="keyword">static</span> limb_t <span class="keyword">const</span> numQ[NUM_LIMBS_256BIT] PROGMEM = {</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; LIMB(0x5CF5D3ED), LIMB(0x5812631A), LIMB(0xA2F79CD6), LIMB(0x14DEF9DE),</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; LIMB(0x00000000), LIMB(0x00000000), LIMB(0x00000000), LIMB(0x10000000)</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160;};</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160;</div>
<div class="line"><a name="l00127"></a><span class="lineno"><a class="line" href="classEd25519.html#a36ecf67b4c5d2d39a31888f56af1f8a5"> 127</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classEd25519.html#a36ecf67b4c5d2d39a31888f56af1f8a5">Ed25519::sign</a>(uint8_t signature[64], <span class="keyword">const</span> uint8_t privateKey[32],</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; <span class="keyword">const</span> uint8_t publicKey[32], <span class="keyword">const</span> <span class="keywordtype">void</span> *message, <span class="keywordtype">size_t</span> len)</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160;{</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160; <a class="code" href="classSHA512.html">SHA512</a> hash;</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; uint8_t *buf = (uint8_t *)(hash.state.w); <span class="comment">// Reuse hash buffer to save memory.</span></div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; limb_t a[NUM_LIMBS_256BIT];</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160; limb_t r[NUM_LIMBS_256BIT];</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; limb_t k[NUM_LIMBS_256BIT];</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160; limb_t t[NUM_LIMBS_512BIT + 1];</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160; Point rB;</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160;</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; <span class="comment">// Derive the secret scalar a and the message prefix from the private key.</span></div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160; deriveKeys(&amp;hash, a, privateKey);</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160;</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; <span class="comment">// Hash the prefix and the message to derive r.</span></div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160; hash.<a class="code" href="classSHA512.html#a0d009e8d9157c3f14323e68631c33e97">reset</a>();</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; hash.<a class="code" href="classSHA512.html#a7d37a20d7ab431ab15d094f768b6a695">update</a>(buf + 32, 32);</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; hash.<a class="code" href="classSHA512.html#a7d37a20d7ab431ab15d094f768b6a695">update</a>(message, len);</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; hash.<a class="code" href="classSHA512.html#afc136ad0e77de527b031db3fb8b32464">finalize</a>(buf, 0);</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; reduceQFromBuffer(r, buf, t);</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160;</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; <span class="comment">// Encode rB into the first half of the signature buffer as R.</span></div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; mul(rB, r);</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; encodePoint(signature, rB);</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160;</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; <span class="comment">// Hash R, A, and the message to get k.</span></div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; hash.<a class="code" href="classSHA512.html#a0d009e8d9157c3f14323e68631c33e97">reset</a>();</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; hash.<a class="code" href="classSHA512.html#a7d37a20d7ab431ab15d094f768b6a695">update</a>(signature, 32); <span class="comment">// R</span></div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; hash.<a class="code" href="classSHA512.html#a7d37a20d7ab431ab15d094f768b6a695">update</a>(publicKey, 32); <span class="comment">// A</span></div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; hash.<a class="code" href="classSHA512.html#a7d37a20d7ab431ab15d094f768b6a695">update</a>(message, len);</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; hash.<a class="code" href="classSHA512.html#afc136ad0e77de527b031db3fb8b32464">finalize</a>(buf, 0);</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160; reduceQFromBuffer(k, buf, t);</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160;</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160; <span class="comment">// Compute s = (r + k * a) mod q.</span></div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160; Curve25519::mulNoReduce(t, k, a);</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; t[NUM_LIMBS_512BIT] = 0;</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; reduceQ(t, t);</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; <a class="code" href="classBigNumberUtil.html#aa6904b2727af6b767fe041b1b7f27414">BigNumberUtil::add</a>(t, t, r, NUM_LIMBS_256BIT);</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; <a class="code" href="classBigNumberUtil.html#a00c9cde0b626788a60552a6bc9ce058b">BigNumberUtil::reduceQuick_P</a>(t, t, numQ, NUM_LIMBS_256BIT);</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160; <a class="code" href="classBigNumberUtil.html#a989cd5f389ac5adc798d8767383e2810">BigNumberUtil::packLE</a>(signature + 32, 32, t, NUM_LIMBS_256BIT);</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160;</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; <span class="comment">// Clean up.</span></div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160; clean(a);</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160; clean(r);</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160; clean(k);</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; clean(t);</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; clean(rB);</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160;}</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160;</div>
<div class="line"><a name="l00189"></a><span class="lineno"><a class="line" href="classEd25519.html#ae3e2fc405c9cd8cb1d3ab9b8b452d3e4"> 189</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="classEd25519.html#ae3e2fc405c9cd8cb1d3ab9b8b452d3e4">Ed25519::verify</a>(<span class="keyword">const</span> uint8_t signature[64], <span class="keyword">const</span> uint8_t publicKey[32],</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160; <span class="keyword">const</span> <span class="keywordtype">void</span> *message, <span class="keywordtype">size_t</span> len)</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160;{</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160; <a class="code" href="classSHA512.html">SHA512</a> hash;</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160; Point A;</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160; Point R;</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160; Point sB;</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160; Point kA;</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160; uint8_t *k = (uint8_t *)(hash.state.w); <span class="comment">// Reuse hash buffer to save memory.</span></div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160; <span class="keywordtype">bool</span> result = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160;</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160; <span class="comment">// Decode the public key and the R component of the signature.</span></div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160; <span class="keywordflow">if</span> (decodePoint(A, publicKey) &amp;&amp; decodePoint(R, signature)) {</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160; <span class="comment">// Reconstruct the k value from the signing step.</span></div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160; hash.<a class="code" href="classSHA512.html#a0d009e8d9157c3f14323e68631c33e97">reset</a>();</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160; hash.<a class="code" href="classSHA512.html#a7d37a20d7ab431ab15d094f768b6a695">update</a>(signature, 32);</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160; hash.<a class="code" href="classSHA512.html#a7d37a20d7ab431ab15d094f768b6a695">update</a>(publicKey, 32);</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160; hash.<a class="code" href="classSHA512.html#a7d37a20d7ab431ab15d094f768b6a695">update</a>(message, len);</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160; hash.<a class="code" href="classSHA512.html#afc136ad0e77de527b031db3fb8b32464">finalize</a>(k, 0);</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160;</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160; <span class="comment">// Calculate s * B. The s value is stored temporarily in kA.t.</span></div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160; <a class="code" href="classBigNumberUtil.html#a25041f898c417c8dd63f30536287ed79">BigNumberUtil::unpackLE</a>(kA.t, NUM_LIMBS_256BIT, signature + 32, 32);</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160; mul(sB, kA.t, <span class="keyword">false</span>);</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160;</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160; <span class="comment">// Calculate R + k * A. We don&#39;t need sB.t in equal() below,</span></div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160; <span class="comment">// so we reuse that as a temporary buffer when reducing k.</span></div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160; reduceQFromBuffer(sB.t, k, kA.x);</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160; mul(kA, sB.t, A, <span class="keyword">false</span>);</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160; add(R, kA);</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160;</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160; <span class="comment">// Compare s * B and R + k * A for equality.</span></div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160; result = equal(sB, R);</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160; }</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160;</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160; <span class="comment">// Clean up and exit.</span></div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160; clean(A);</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160; clean(R);</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160; clean(sB);</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160; clean(kA);</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160; <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160;}</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160;</div>
<div class="line"><a name="l00243"></a><span class="lineno"><a class="line" href="classEd25519.html#ab8be5115ac5adc8a556dbac7d7e90d2e"> 243</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classEd25519.html#ab8be5115ac5adc8a556dbac7d7e90d2e">Ed25519::generatePrivateKey</a>(uint8_t privateKey[32])</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160;{</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160; RNG.<a class="code" href="classRNGClass.html#a418a833cf18198fd7e5d6dbd78c99c29">rand</a>(privateKey, 32);</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160;}</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160;</div>
<div class="line"><a name="l00256"></a><span class="lineno"><a class="line" href="classEd25519.html#ab62bac52ed07f77f76f3ff0fccd71cb2"> 256</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classEd25519.html#ab62bac52ed07f77f76f3ff0fccd71cb2">Ed25519::derivePublicKey</a>(uint8_t publicKey[32], <span class="keyword">const</span> uint8_t privateKey[32])</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160;{</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160; <a class="code" href="classSHA512.html">SHA512</a> hash;</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160; uint8_t *buf = (uint8_t *)(hash.state.w);</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160; limb_t a[NUM_LIMBS_256BIT];</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160; Point ptA;</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160;</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160; <span class="comment">// Derive the secret scalar a from the private key.</span></div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160; deriveKeys(&amp;hash, a, privateKey);</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160;</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160; <span class="comment">// Compute the point A = aB and encode it.</span></div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160; mul(ptA, a);</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160; encodePoint(publicKey, ptA);</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160;</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160; <span class="comment">// Clean up and exit.</span></div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160; clean(a);</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160; clean(ptA);</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160;}</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160;</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160;<span class="keywordtype">void</span> Ed25519::reduceQFromBuffer(limb_t *result, <span class="keyword">const</span> uint8_t buf[64], limb_t *temp)</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>&#160;{</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160; <a class="code" href="classBigNumberUtil.html#a25041f898c417c8dd63f30536287ed79">BigNumberUtil::unpackLE</a>(temp, NUM_LIMBS_512BIT, buf, 64);</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160; temp[NUM_LIMBS_512BIT] = 0;</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>&#160; reduceQ(result, temp);</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>&#160;}</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>&#160;</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>&#160;<span class="keywordtype">void</span> Ed25519::reduceQ(limb_t *result, limb_t *r)</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>&#160;{</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>&#160; <span class="comment">// Algorithm from: http://en.wikipedia.org/wiki/Barrett_reduction</span></div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>&#160; <span class="comment">//</span></div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>&#160; <span class="comment">// We assume that r is less than or equal to (q - 1)^2.</span></div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>&#160; <span class="comment">//</span></div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>&#160; <span class="comment">// We want to compute result = r mod q. Find the smallest k such</span></div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>&#160; <span class="comment">// that 2^k &gt; q. In our case, k = 253. Then set m = floor(4^k / q)</span></div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>&#160; <span class="comment">// and let r = r - q * floor(m * r / 4^k). This will be the result</span></div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>&#160; <span class="comment">// or it will be at most one subtraction of q away from the result.</span></div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>&#160; <span class="comment">//</span></div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>&#160; <span class="comment">// Note: 4^k = 4^253 = 2^506 = 2^512/2^6. We can more easily compute</span></div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>&#160; <span class="comment">// the result we want if we set m = floor(4^k * 2^6 / q) instead and</span></div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>&#160; <span class="comment">// then r = r - q * floor(m * r / 2^512). Because the slight extra</span></div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>&#160; <span class="comment">// precision in m, r is at most two subtractions of q away from the</span></div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>&#160; <span class="comment">// final result.</span></div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>&#160; <span class="keyword">static</span> limb_t <span class="keyword">const</span> numM[NUM_LIMBS_256BIT + 1] PROGMEM = {</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>&#160; LIMB(0x0A2C131B), LIMB(0xED9CE5A3), LIMB(0x086329A7), LIMB(0x2106215D),</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>&#160; LIMB(0xFFFFFFEB), LIMB(0xFFFFFFFF), LIMB(0xFFFFFFFF), LIMB(0xFFFFFFFF),</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>&#160; 0x0F</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>&#160; };</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>&#160; limb_t temp[NUM_LIMBS_512BIT + NUM_LIMBS_256BIT + 1];</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>&#160;</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>&#160; <span class="comment">// Multiply r by m.</span></div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>&#160; <a class="code" href="classBigNumberUtil.html#aacdee1806a239eb9e58753ef1ddb964a">BigNumberUtil::mul_P</a>(temp, r, NUM_LIMBS_512BIT, numM, NUM_LIMBS_256BIT + 1);</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>&#160;</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>&#160; <span class="comment">// Multiply (m * r) / 2^512 by q and subtract it from r.</span></div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>&#160; <span class="comment">// We can ignore the high words of the subtraction result</span></div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>&#160; <span class="comment">// because they will all turn into zero after the subtraction.</span></div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>&#160; <a class="code" href="classBigNumberUtil.html#aacdee1806a239eb9e58753ef1ddb964a">BigNumberUtil::mul_P</a>(temp, temp + NUM_LIMBS_512BIT, NUM_LIMBS_256BIT + 1,</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>&#160; numQ, NUM_LIMBS_256BIT);</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>&#160; <a class="code" href="classBigNumberUtil.html#a6618e03bfcb3086961df508b40cc1e67">BigNumberUtil::sub</a>(r, r, temp, NUM_LIMBS_256BIT);</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>&#160;</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>&#160; <span class="comment">// Perform two subtractions of q from the result to reduce it.</span></div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>&#160; <a class="code" href="classBigNumberUtil.html#a00c9cde0b626788a60552a6bc9ce058b">BigNumberUtil::reduceQuick_P</a>(result, r, numQ, NUM_LIMBS_256BIT);</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>&#160; <a class="code" href="classBigNumberUtil.html#a00c9cde0b626788a60552a6bc9ce058b">BigNumberUtil::reduceQuick_P</a>(result, result, numQ, NUM_LIMBS_256BIT);</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>&#160;</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>&#160; <span class="comment">// Clean up and exit.</span></div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>&#160; clean(temp);</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>&#160;}</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>&#160;</div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>&#160;<span class="keywordtype">void</span> Ed25519::mul(Point &amp;result, <span class="keyword">const</span> limb_t *s, Point &amp;p, <span class="keywordtype">bool</span> constTime)</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>&#160;{</div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>&#160; Point q;</div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>&#160; limb_t A[NUM_LIMBS_256BIT];</div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>&#160; limb_t B[NUM_LIMBS_256BIT];</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>&#160; limb_t C[NUM_LIMBS_256BIT];</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>&#160; limb_t D[NUM_LIMBS_256BIT];</div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>&#160; limb_t mask, select;</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>&#160; uint8_t sposn, t;</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>&#160;</div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>&#160; <span class="comment">// Initialize the result to (0, 1, 1, 0).</span></div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>&#160; memset(&amp;result, 0, <span class="keyword">sizeof</span>(Point));</div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>&#160; result.y[0] = 1;</div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>&#160; result.z[0] = 1;</div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>&#160;</div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>&#160; <span class="comment">// Iterate over the 255 bits of &quot;s&quot; to calculate &quot;s * p&quot;.</span></div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>&#160; mask = 1;</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>&#160; sposn = 0;</div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>&#160; <span class="keywordflow">for</span> (t = 255; t &gt; 0; --t) {</div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>&#160; <span class="comment">// Add p to the result to produce q. The specification refers</span></div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>&#160; <span class="comment">// to temporary variables A to H. We can dispense with E to H</span></div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>&#160; <span class="comment">// by using B, D, q.z, and q.t to hold those values temporarily.</span></div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>&#160; select = s[sposn] &amp; mask;</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>&#160; <span class="keywordflow">if</span> (constTime || select) {</div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>&#160; Curve25519::sub(A, result.y, result.x);</div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>&#160; Curve25519::sub(C, p.y, p.x);</div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>&#160; Curve25519::mul(A, A, C);</div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>&#160; Curve25519::add(B, result.y, result.x);</div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>&#160; Curve25519::add(C, p.y, p.x);</div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>&#160; Curve25519::mul(B, B, C);</div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>&#160; Curve25519::mul(C, result.t, p.t);</div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>&#160; Curve25519::mul_P(C, C, numDx2);</div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>&#160; Curve25519::mul(D, result.z, p.z);</div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>&#160; Curve25519::add(D, D, D);</div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>&#160; Curve25519::sub(q.t, B, A); <span class="comment">// E = B - A</span></div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>&#160; Curve25519::sub(q.z, D, C); <span class="comment">// F = D - C</span></div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>&#160; Curve25519::add(D, D, C); <span class="comment">// G = D + C</span></div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>&#160; Curve25519::add(B, B, A); <span class="comment">// H = B + A</span></div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>&#160; <span class="keywordflow">if</span> (constTime) {</div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>&#160; <span class="comment">// Put the intermediate value into q.</span></div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>&#160; Curve25519::mul(q.x, q.t, q.z); <span class="comment">// q.x = E * F</span></div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>&#160; Curve25519::mul(q.y, D, B); <span class="comment">// q.y = G * H</span></div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>&#160; Curve25519::mul(q.z, q.z, D); <span class="comment">// q.z = F * G</span></div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>&#160; Curve25519::mul(q.t, q.t, B); <span class="comment">// q.t = E * H</span></div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>&#160;</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>&#160; <span class="comment">// Copy q into the result if the current bit of s is 1.</span></div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>&#160; Curve25519::cmove(select, result.x, q.x);</div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>&#160; Curve25519::cmove(select, result.y, q.y);</div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>&#160; Curve25519::cmove(select, result.z, q.z);</div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>&#160; Curve25519::cmove(select, result.t, q.t);</div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>&#160; <span class="comment">// Put the intermediate value directly into the result.</span></div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>&#160; Curve25519::mul(result.x, q.t, q.z); <span class="comment">// q.x = E * F</span></div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>&#160; Curve25519::mul(result.y, D, B); <span class="comment">// q.y = G * H</span></div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>&#160; Curve25519::mul(result.z, q.z, D); <span class="comment">// q.z = F * G</span></div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>&#160; Curve25519::mul(result.t, q.t, B); <span class="comment">// q.t = E * H</span></div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>&#160; }</div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>&#160; }</div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>&#160;</div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>&#160; <span class="comment">// Double p for the next iteration.</span></div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>&#160; Curve25519::sub(A, p.y, p.x);</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>&#160; Curve25519::square(A, A);</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>&#160; Curve25519::add(B, p.y, p.x);</div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>&#160; Curve25519::square(B, B);</div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>&#160; Curve25519::square(C, p.t);</div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>&#160; Curve25519::mul_P(C, C, numDx2);</div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>&#160; Curve25519::square(D, p.z);</div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>&#160; Curve25519::add(D, D, D);</div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>&#160; Curve25519::sub(p.t, B, A); <span class="comment">// E = B - A</span></div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>&#160; Curve25519::sub(p.z, D, C); <span class="comment">// F = D - C</span></div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>&#160; Curve25519::add(D, D, C); <span class="comment">// G = D + C</span></div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>&#160; Curve25519::add(B, B, A); <span class="comment">// H = B + A</span></div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>&#160; Curve25519::mul(p.x, p.t, p.z); <span class="comment">// p.x = E * F</span></div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>&#160; Curve25519::mul(p.y, D, B); <span class="comment">// p.y = G * H</span></div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>&#160; Curve25519::mul(p.z, p.z, D); <span class="comment">// p.z = F * G</span></div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>&#160; Curve25519::mul(p.t, p.t, B); <span class="comment">// p.t = E * H</span></div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span>&#160;</div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>&#160; <span class="comment">// Move onto the next bit of s from lowest to highest.</span></div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>&#160; <span class="keywordflow">if</span> (mask != (((limb_t)1) &lt;&lt; (LIMB_BITS - 1))) {</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>&#160; mask &lt;&lt;= 1;</div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>&#160; ++sposn;</div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>&#160; mask = 1;</div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>&#160; }</div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>&#160; }</div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>&#160;</div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>&#160; <span class="comment">// Clean up.</span></div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>&#160; clean(q);</div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>&#160; clean(A);</div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>&#160; clean(B);</div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>&#160; clean(C);</div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>&#160; clean(D);</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>&#160;}</div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>&#160;</div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>&#160;<span class="keywordtype">void</span> Ed25519::mul(Point &amp;result, <span class="keyword">const</span> limb_t *s, <span class="keywordtype">bool</span> constTime)</div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>&#160;{</div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>&#160; Point P;</div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>&#160; memcpy_P(P.x, numBx, <span class="keyword">sizeof</span>(P.x));</div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>&#160; memcpy_P(P.y, numBy, <span class="keyword">sizeof</span>(P.y));</div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>&#160; memcpy_P(P.z, numBz, <span class="keyword">sizeof</span>(P.z));</div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>&#160; memcpy_P(P.t, numBt, <span class="keyword">sizeof</span>(P.t));</div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>&#160; mul(result, s, P, constTime);</div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>&#160; clean(P);</div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>&#160;}</div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>&#160;</div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>&#160;<span class="keywordtype">void</span> Ed25519::add(Point &amp;p, <span class="keyword">const</span> Point &amp;q)</div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>&#160;{</div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>&#160; limb_t A[NUM_LIMBS_256BIT];</div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>&#160; limb_t B[NUM_LIMBS_256BIT];</div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>&#160; limb_t C[NUM_LIMBS_256BIT];</div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>&#160; limb_t D[NUM_LIMBS_256BIT];</div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>&#160;</div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>&#160; Curve25519::sub(A, p.y, p.x);</div>
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>&#160; Curve25519::sub(C, q.y, q.x);</div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>&#160; Curve25519::mul(A, A, C);</div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>&#160; Curve25519::add(B, p.y, p.x);</div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>&#160; Curve25519::add(C, q.y, q.x);</div>
<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>&#160; Curve25519::mul(B, B, C);</div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>&#160; Curve25519::mul(C, p.t, q.t);</div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>&#160; Curve25519::mul_P(C, C, numDx2);</div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>&#160; Curve25519::mul(D, p.z, q.z);</div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>&#160; Curve25519::add(D, D, D);</div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span>&#160; Curve25519::sub(p.t, B, A); <span class="comment">// E = B - A</span></div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>&#160; Curve25519::sub(p.z, D, C); <span class="comment">// F = D - C</span></div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>&#160; Curve25519::add(D, D, C); <span class="comment">// G = D + C</span></div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>&#160; Curve25519::add(B, B, A); <span class="comment">// H = B + A</span></div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>&#160; Curve25519::mul(p.x, p.t, p.z); <span class="comment">// p.x = E * F</span></div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>&#160; Curve25519::mul(p.y, D, B); <span class="comment">// p.y = G * H</span></div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>&#160; Curve25519::mul(p.z, p.z, D); <span class="comment">// p.z = F * G</span></div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>&#160; Curve25519::mul(p.t, p.t, B); <span class="comment">// p.t = E * H</span></div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>&#160;</div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span>&#160; clean(A);</div>
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>&#160; clean(B);</div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>&#160; clean(C);</div>
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>&#160; clean(D);</div>
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>&#160;}</div>
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span>&#160;</div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>&#160;<span class="keywordtype">bool</span> Ed25519::equal(<span class="keyword">const</span> Point &amp;p, <span class="keyword">const</span> Point &amp;q)</div>
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>&#160;{</div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>&#160; limb_t a[NUM_LIMBS_256BIT];</div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>&#160; limb_t b[NUM_LIMBS_256BIT];</div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>&#160; <span class="keywordtype">bool</span> result = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>&#160;</div>
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>&#160; Curve25519::mul(a, p.x, q.z);</div>
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>&#160; Curve25519::mul(b, q.x, p.z);</div>
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>&#160; result &amp;= secure_compare(a, b, <span class="keyword">sizeof</span>(a));</div>
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>&#160;</div>
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>&#160; Curve25519::mul(a, p.y, q.z);</div>
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>&#160; Curve25519::mul(b, q.y, p.z);</div>
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>&#160; result &amp;= secure_compare(a, b, <span class="keyword">sizeof</span>(a));</div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>&#160;</div>
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>&#160; clean(a);</div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>&#160; clean(b);</div>
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>&#160; <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>&#160;}</div>
<div class="line"><a name="l00530"></a><span class="lineno"> 530</span>&#160;</div>
<div class="line"><a name="l00540"></a><span class="lineno"> 540</span>&#160;<span class="keywordtype">void</span> Ed25519::encodePoint(uint8_t *buf, Point &amp;point)</div>
<div class="line"><a name="l00541"></a><span class="lineno"> 541</span>&#160;{</div>
<div class="line"><a name="l00542"></a><span class="lineno"> 542</span>&#160; <span class="comment">// Convert the homogeneous coordinates into plain (x, y) coordinates:</span></div>
<div class="line"><a name="l00543"></a><span class="lineno"> 543</span>&#160; <span class="comment">// zinv = z^(-1) mod p</span></div>
<div class="line"><a name="l00544"></a><span class="lineno"> 544</span>&#160; <span class="comment">// x = x * zinv mod p</span></div>
<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>&#160; <span class="comment">// y = y * zinv mod p</span></div>
<div class="line"><a name="l00546"></a><span class="lineno"> 546</span>&#160; <span class="comment">// We don&#39;t need the t coordinate, so use that to store zinv temporarily.</span></div>
<div class="line"><a name="l00547"></a><span class="lineno"> 547</span>&#160; Curve25519::recip(point.t, point.z);</div>
<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>&#160; Curve25519::mul(point.x, point.x, point.t);</div>
<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>&#160; Curve25519::mul(point.y, point.y, point.t);</div>
<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>&#160;</div>
<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>&#160; <span class="comment">// Copy the lowest bit of x to the highest bit of y.</span></div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>&#160; point.y[NUM_LIMBS_256BIT - 1] |= (point.x[0] &lt;&lt; (LIMB_BITS - 1));</div>
<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>&#160;</div>
<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>&#160; <span class="comment">// Convert y into little-endian in the return buffer.</span></div>
<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>&#160; <a class="code" href="classBigNumberUtil.html#a989cd5f389ac5adc798d8767383e2810">BigNumberUtil::packLE</a>(buf, 32, point.y, NUM_LIMBS_256BIT);</div>
<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>&#160;}</div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>&#160;</div>
<div class="line"><a name="l00570"></a><span class="lineno"> 570</span>&#160;<span class="keywordtype">bool</span> Ed25519::decodePoint(Point &amp;point, <span class="keyword">const</span> uint8_t *buf)</div>
<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>&#160;{</div>
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>&#160; limb_t temp[NUM_LIMBS_256BIT];</div>
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>&#160;</div>
<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>&#160; <span class="comment">// Convert the input buffer from little-endian into the limbs of y.</span></div>
<div class="line"><a name="l00575"></a><span class="lineno"> 575</span>&#160; <a class="code" href="classBigNumberUtil.html#a25041f898c417c8dd63f30536287ed79">BigNumberUtil::unpackLE</a>(point.y, NUM_LIMBS_256BIT, buf, 32);</div>
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>&#160;</div>
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>&#160; <span class="comment">// The high bit of y is the sign bit for x.</span></div>
<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>&#160; limb_t <a class="code" href="classEd25519.html#a36ecf67b4c5d2d39a31888f56af1f8a5">sign</a> = point.y[NUM_LIMBS_256BIT - 1] &gt;&gt; (LIMB_BITS - 1);</div>
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>&#160; point.y[NUM_LIMBS_256BIT - 1] &amp;= ~(((limb_t)1) &lt;&lt; (LIMB_BITS - 1));</div>
<div class="line"><a name="l00580"></a><span class="lineno"> 580</span>&#160;</div>
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>&#160; <span class="comment">// Set z to 1.</span></div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>&#160; memcpy_P(point.z, numBz, <span class="keyword">sizeof</span>(point.z));</div>
<div class="line"><a name="l00583"></a><span class="lineno"> 583</span>&#160;</div>
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>&#160; <span class="comment">// Compute t = (y * y - 1) * modinv(d * y * y + 1).</span></div>
<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>&#160; Curve25519::square(point.t, point.y);</div>
<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>&#160; Curve25519::sub(point.x, point.t, point.z);</div>
<div class="line"><a name="l00587"></a><span class="lineno"> 587</span>&#160; Curve25519::mul_P(point.t, point.t, numD);</div>
<div class="line"><a name="l00588"></a><span class="lineno"> 588</span>&#160; Curve25519::add(point.t, point.t, point.z);</div>
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span>&#160; Curve25519::recip(temp, point.t);</div>
<div class="line"><a name="l00590"></a><span class="lineno"> 590</span>&#160; Curve25519::mul(point.t, point.x, temp);</div>
<div class="line"><a name="l00591"></a><span class="lineno"> 591</span>&#160; clean(temp);</div>
<div class="line"><a name="l00592"></a><span class="lineno"> 592</span>&#160;</div>
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span>&#160; <span class="comment">// Check for t = 0.</span></div>
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span>&#160; limb_t check = point.t[0];</div>
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span>&#160; <span class="keywordflow">for</span> (uint8_t posn = 1; posn &lt; NUM_LIMBS_256BIT; ++posn)</div>
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>&#160; check |= point.t[posn];</div>
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>&#160; if (!check) {</div>
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>&#160; <span class="comment">// If the sign bit is set, then decoding has failed.</span></div>
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span>&#160; <span class="comment">// Otherwise x is zero and we&#39;re done.</span></div>
<div class="line"><a name="l00600"></a><span class="lineno"> 600</span>&#160; <span class="keywordflow">if</span> (sign)</div>
<div class="line"><a name="l00601"></a><span class="lineno"> 601</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00602"></a><span class="lineno"> 602</span>&#160; memset(point.x, 0, <span class="keyword">sizeof</span>(point.x));</div>
<div class="line"><a name="l00603"></a><span class="lineno"> 603</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00604"></a><span class="lineno"> 604</span>&#160; }</div>
<div class="line"><a name="l00605"></a><span class="lineno"> 605</span>&#160;</div>
<div class="line"><a name="l00606"></a><span class="lineno"> 606</span>&#160; <span class="comment">// Recover x by taking the sqrt of t and flipping the sign if necessary.</span></div>
<div class="line"><a name="l00607"></a><span class="lineno"> 607</span>&#160; <span class="keywordflow">if</span> (!Curve25519::sqrt(point.x, point.t))</div>
<div class="line"><a name="l00608"></a><span class="lineno"> 608</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00609"></a><span class="lineno"> 609</span>&#160; <span class="keywordflow">if</span> (sign != (point.x[0] &amp; ((limb_t)1))) {</div>
<div class="line"><a name="l00610"></a><span class="lineno"> 610</span>&#160; <span class="comment">// The signs are different so we want the other square root.</span></div>
<div class="line"><a name="l00611"></a><span class="lineno"> 611</span>&#160; memset(point.t, 0, <span class="keyword">sizeof</span>(point.t));</div>
<div class="line"><a name="l00612"></a><span class="lineno"> 612</span>&#160; Curve25519::sub(point.x, point.t, point.x);</div>
<div class="line"><a name="l00613"></a><span class="lineno"> 613</span>&#160; }</div>
<div class="line"><a name="l00614"></a><span class="lineno"> 614</span>&#160;</div>
<div class="line"><a name="l00615"></a><span class="lineno"> 615</span>&#160; <span class="comment">// Finally, t = x * y.</span></div>
<div class="line"><a name="l00616"></a><span class="lineno"> 616</span>&#160; Curve25519::mul(point.t, point.x, point.y);</div>
<div class="line"><a name="l00617"></a><span class="lineno"> 617</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00618"></a><span class="lineno"> 618</span>&#160;}</div>
<div class="line"><a name="l00619"></a><span class="lineno"> 619</span>&#160;</div>
<div class="line"><a name="l00630"></a><span class="lineno"> 630</span>&#160;<span class="keywordtype">void</span> Ed25519::deriveKeys(<a class="code" href="classSHA512.html">SHA512</a> *hash, limb_t *a, <span class="keyword">const</span> uint8_t privateKey[32])</div>
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>&#160;{</div>
<div class="line"><a name="l00632"></a><span class="lineno"> 632</span>&#160; <span class="comment">// Hash the private key to get the &quot;a&quot; scalar and the message prefix.</span></div>
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span>&#160; uint8_t *buf = (uint8_t *)(hash-&gt;state.w); <span class="comment">// Reuse hash buffer to save memory.</span></div>
<div class="line"><a name="l00634"></a><span class="lineno"> 634</span>&#160; hash-&gt;<a class="code" href="classSHA512.html#a0d009e8d9157c3f14323e68631c33e97">reset</a>();</div>
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>&#160; hash-&gt;<a class="code" href="classSHA512.html#a7d37a20d7ab431ab15d094f768b6a695">update</a>(privateKey, 32);</div>
<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>&#160; hash-&gt;<a class="code" href="classSHA512.html#afc136ad0e77de527b031db3fb8b32464">finalize</a>(buf, 0);</div>
<div class="line"><a name="l00637"></a><span class="lineno"> 637</span>&#160; buf[0] &amp;= 0xF8;</div>
<div class="line"><a name="l00638"></a><span class="lineno"> 638</span>&#160; buf[31] &amp;= 0x7F;</div>
<div class="line"><a name="l00639"></a><span class="lineno"> 639</span>&#160; buf[31] |= 0x40;</div>
<div class="line"><a name="l00640"></a><span class="lineno"> 640</span>&#160;</div>
<div class="line"><a name="l00641"></a><span class="lineno"> 641</span>&#160; <span class="comment">// Unpack the first half of the hash value into &quot;a&quot;.</span></div>
<div class="line"><a name="l00642"></a><span class="lineno"> 642</span>&#160; <a class="code" href="classBigNumberUtil.html#a25041f898c417c8dd63f30536287ed79">BigNumberUtil::unpackLE</a>(a, NUM_LIMBS_256BIT, buf, 32);</div>
<div class="line"><a name="l00643"></a><span class="lineno"> 643</span>&#160;}</div>
<div class="ttc" id="classBigNumberUtil_html_a00c9cde0b626788a60552a6bc9ce058b"><div class="ttname"><a href="classBigNumberUtil.html#a00c9cde0b626788a60552a6bc9ce058b">BigNumberUtil::reduceQuick_P</a></div><div class="ttdeci">static void reduceQuick_P(limb_t *result, const limb_t *x, const limb_t *y, size_t size)</div><div class="ttdoc">Reduces x modulo y using subtraction where y is in program memory. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00620">BigNumberUtil.cpp:620</a></div></div>
<div class="ttc" id="classEd25519_html_ab8be5115ac5adc8a556dbac7d7e90d2e"><div class="ttname"><a href="classEd25519.html#ab8be5115ac5adc8a556dbac7d7e90d2e">Ed25519::generatePrivateKey</a></div><div class="ttdeci">static void generatePrivateKey(uint8_t privateKey[32])</div><div class="ttdoc">Generates a private key for Ed25519 signing operations. </div><div class="ttdef"><b>Definition:</b> <a href="Ed25519_8cpp_source.html#l00243">Ed25519.cpp:243</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_aa6904b2727af6b767fe041b1b7f27414"><div class="ttname"><a href="classBigNumberUtil.html#aa6904b2727af6b767fe041b1b7f27414">BigNumberUtil::add</a></div><div class="ttdeci">static limb_t add(limb_t *result, const limb_t *x, const limb_t *y, size_t size)</div><div class="ttdoc">Adds two big numbers. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00381">BigNumberUtil.cpp:381</a></div></div>
<div class="ttc" id="classRNGClass_html_a418a833cf18198fd7e5d6dbd78c99c29"><div class="ttname"><a href="classRNGClass.html#a418a833cf18198fd7e5d6dbd78c99c29">RNGClass::rand</a></div><div class="ttdeci">void rand(uint8_t *data, size_t len)</div><div class="ttdoc">Generates random bytes into a caller-supplied buffer. </div><div class="ttdef"><b>Definition:</b> <a href="RNG_8cpp_source.html#l00298">RNG.cpp:298</a></div></div>
<div class="ttc" id="classEd25519_html_ae3e2fc405c9cd8cb1d3ab9b8b452d3e4"><div class="ttname"><a href="classEd25519.html#ae3e2fc405c9cd8cb1d3ab9b8b452d3e4">Ed25519::verify</a></div><div class="ttdeci">static bool verify(const uint8_t signature[64], const uint8_t publicKey[32], const void *message, size_t len)</div><div class="ttdoc">Verifies a signature using a specific Ed25519 public key. </div><div class="ttdef"><b>Definition:</b> <a href="Ed25519_8cpp_source.html#l00189">Ed25519.cpp:189</a></div></div>
<div class="ttc" id="classSHA512_html"><div class="ttname"><a href="classSHA512.html">SHA512</a></div><div class="ttdoc">SHA-512 hash algorithm. </div><div class="ttdef"><b>Definition:</b> <a href="SHA512_8h_source.html#l00030">SHA512.h:30</a></div></div>
<div class="ttc" id="classSHA512_html_a0d009e8d9157c3f14323e68631c33e97"><div class="ttname"><a href="classSHA512.html#a0d009e8d9157c3f14323e68631c33e97">SHA512::reset</a></div><div class="ttdeci">void reset()</div><div class="ttdoc">Resets the hash ready for a new hashing process. </div><div class="ttdef"><b>Definition:</b> <a href="SHA512_8cpp_source.html#l00066">SHA512.cpp:66</a></div></div>
<div class="ttc" id="classSHA512_html_a7d37a20d7ab431ab15d094f768b6a695"><div class="ttname"><a href="classSHA512.html#a7d37a20d7ab431ab15d094f768b6a695">SHA512::update</a></div><div class="ttdeci">void update(const void *data, size_t len)</div><div class="ttdoc">Updates the hash with more data. </div><div class="ttdef"><b>Definition:</b> <a href="SHA512_8cpp_source.html#l00079">SHA512.cpp:79</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_a6618e03bfcb3086961df508b40cc1e67"><div class="ttname"><a href="classBigNumberUtil.html#a6618e03bfcb3086961df508b40cc1e67">BigNumberUtil::sub</a></div><div class="ttdeci">static limb_t sub(limb_t *result, const limb_t *x, const limb_t *y, size_t size)</div><div class="ttdoc">Subtracts one big number from another. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00408">BigNumberUtil.cpp:408</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_aacdee1806a239eb9e58753ef1ddb964a"><div class="ttname"><a href="classBigNumberUtil.html#aacdee1806a239eb9e58753ef1ddb964a">BigNumberUtil::mul_P</a></div><div class="ttdeci">static void mul_P(limb_t *result, const limb_t *x, size_t xcount, const limb_t *y, size_t ycount)</div><div class="ttdoc">Multiplies two big numbers where one is in program memory. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00566">BigNumberUtil.cpp:566</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_a25041f898c417c8dd63f30536287ed79"><div class="ttname"><a href="classBigNumberUtil.html#a25041f898c417c8dd63f30536287ed79">BigNumberUtil::unpackLE</a></div><div class="ttdeci">static void unpackLE(limb_t *limbs, size_t count, const uint8_t *bytes, size_t len)</div><div class="ttdoc">Unpacks the little-endian byte representation of a big number into a limb array. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00055">BigNumberUtil.cpp:55</a></div></div>
<div class="ttc" id="classSHA512_html_afc136ad0e77de527b031db3fb8b32464"><div class="ttname"><a href="classSHA512.html#afc136ad0e77de527b031db3fb8b32464">SHA512::finalize</a></div><div class="ttdeci">void finalize(void *hash, size_t len)</div><div class="ttdoc">Finalizes the hashing process and returns the hash. </div><div class="ttdef"><b>Definition:</b> <a href="SHA512_8cpp_source.html#l00105">SHA512.cpp:105</a></div></div>
<div class="ttc" id="classBigNumberUtil_html_a989cd5f389ac5adc798d8767383e2810"><div class="ttname"><a href="classBigNumberUtil.html#a989cd5f389ac5adc798d8767383e2810">BigNumberUtil::packLE</a></div><div class="ttdeci">static void packLE(uint8_t *bytes, size_t len, const limb_t *limbs, size_t count)</div><div class="ttdoc">Packs the little-endian byte representation of a big number into a byte array. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00208">BigNumberUtil.cpp:208</a></div></div>
<div class="ttc" id="classEd25519_html_a36ecf67b4c5d2d39a31888f56af1f8a5"><div class="ttname"><a href="classEd25519.html#a36ecf67b4c5d2d39a31888f56af1f8a5">Ed25519::sign</a></div><div class="ttdeci">static void sign(uint8_t signature[64], const uint8_t privateKey[32], const uint8_t publicKey[32], const void *message, size_t len)</div><div class="ttdoc">Signs a message using a specific Ed25519 private key. </div><div class="ttdef"><b>Definition:</b> <a href="Ed25519_8cpp_source.html#l00127">Ed25519.cpp:127</a></div></div>
<div class="ttc" id="classEd25519_html_ab62bac52ed07f77f76f3ff0fccd71cb2"><div class="ttname"><a href="classEd25519.html#ab62bac52ed07f77f76f3ff0fccd71cb2">Ed25519::derivePublicKey</a></div><div class="ttdeci">static void derivePublicKey(uint8_t publicKey[32], const uint8_t privateKey[32])</div><div class="ttdoc">Derives the public key from a private key. </div><div class="ttdef"><b>Definition:</b> <a href="Ed25519_8cpp_source.html#l00256">Ed25519.cpp:256</a></div></div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment"> * Copyright (C) 2015 Southern Storm Software, Pty Ltd.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment"> * Permission is hereby granted, free of charge, to any person obtaining a</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment"> * copy of this software and associated documentation files (the &quot;Software&quot;),</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment"> * to deal in the Software without restriction, including without limitation</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment"> * the rights to use, copy, modify, merge, publish, distribute, sublicense,</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment"> * and/or sell copies of the Software, and to permit persons to whom the</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment"> * Software is furnished to do so, subject to the following conditions:</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment"> * The above copyright notice and this permission notice shall be included</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="comment"> * in all copies or substantial portions of the Software.</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="comment"> * THE SOFTWARE IS PROVIDED &quot;AS IS&quot;, WITHOUT WARRANTY OF ANY KIND, EXPRESS</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="comment"> * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="comment"> * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="comment"> * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="comment"> * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="comment"> * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="comment"> * DEALINGS IN THE SOFTWARE.</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;</div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="preprocessor">#ifndef CRYPTO_ED25519_h</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define CRYPTO_ED25519_h</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="preprocessor">#include &quot;BigNumberUtil.h&quot;</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="preprocessor">#include &quot;SHA512.h&quot;</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;</div>
<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="classEd25519.html"> 29</a></span>&#160;<span class="keyword">class </span><a class="code" href="classEd25519.html">Ed25519</a></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160;{</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classEd25519.html#a36ecf67b4c5d2d39a31888f56af1f8a5">sign</a>(uint8_t signature[64], <span class="keyword">const</span> uint8_t privateKey[32],</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; <span class="keyword">const</span> uint8_t publicKey[32], <span class="keyword">const</span> <span class="keywordtype">void</span> *message,</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; <span class="keywordtype">size_t</span> len);</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; <span class="keyword">static</span> <span class="keywordtype">bool</span> <a class="code" href="classEd25519.html#ae3e2fc405c9cd8cb1d3ab9b8b452d3e4">verify</a>(<span class="keyword">const</span> uint8_t signature[64], <span class="keyword">const</span> uint8_t publicKey[32],</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; <span class="keyword">const</span> <span class="keywordtype">void</span> *message, <span class="keywordtype">size_t</span> len);</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160;</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classEd25519.html#ab8be5115ac5adc8a556dbac7d7e90d2e">generatePrivateKey</a>(uint8_t privateKey[32]);</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classEd25519.html#ab62bac52ed07f77f76f3ff0fccd71cb2">derivePublicKey</a>(uint8_t publicKey[32], <span class="keyword">const</span> uint8_t privateKey[32]);</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;<span class="keyword">private</span>:</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <span class="comment">// Constructor and destructor are private - cannot instantiate this class.</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; <a class="code" href="classEd25519.html">Ed25519</a>();</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; ~<a class="code" href="classEd25519.html">Ed25519</a>();</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160;</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; <span class="comment">// Curve point represented in extended homogeneous coordinates.</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; <span class="keyword">struct </span>Point</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; {</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; limb_t x[32 / <span class="keyword">sizeof</span>(limb_t)];</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; limb_t y[32 / <span class="keyword">sizeof</span>(limb_t)];</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; limb_t z[32 / <span class="keyword">sizeof</span>(limb_t)];</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; limb_t t[32 / <span class="keyword">sizeof</span>(limb_t)];</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; };</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160;</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> reduceQFromBuffer(limb_t *result, <span class="keyword">const</span> uint8_t buf[64], limb_t *temp);</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> reduceQ(limb_t *result, limb_t *r);</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160;</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> mul(Point &amp;result, <span class="keyword">const</span> limb_t *s, Point &amp;p, <span class="keywordtype">bool</span> constTime = <span class="keyword">true</span>);</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> mul(Point &amp;result, <span class="keyword">const</span> limb_t *s, <span class="keywordtype">bool</span> constTime = <span class="keyword">true</span>);</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160;</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> add(Point &amp;p, <span class="keyword">const</span> Point &amp;q);</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160;</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; <span class="keyword">static</span> <span class="keywordtype">bool</span> equal(<span class="keyword">const</span> Point &amp;p, <span class="keyword">const</span> Point &amp;q);</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160;</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> encodePoint(uint8_t *buf, Point &amp;point);</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160;</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> deriveKeys(<a class="code" href="classSHA512.html">SHA512</a> *hash, limb_t *a, <span class="keyword">const</span> uint8_t privateKey[32]);</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;};</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160;</div>
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<div class="ttc" id="classEd25519_html_ab8be5115ac5adc8a556dbac7d7e90d2e"><div class="ttname"><a href="classEd25519.html#ab8be5115ac5adc8a556dbac7d7e90d2e">Ed25519::generatePrivateKey</a></div><div class="ttdeci">static void generatePrivateKey(uint8_t privateKey[32])</div><div class="ttdoc">Generates a private key for Ed25519 signing operations. </div><div class="ttdef"><b>Definition:</b> <a href="Ed25519_8cpp_source.html#l00243">Ed25519.cpp:243</a></div></div>
<div class="ttc" id="classEd25519_html_ae3e2fc405c9cd8cb1d3ab9b8b452d3e4"><div class="ttname"><a href="classEd25519.html#ae3e2fc405c9cd8cb1d3ab9b8b452d3e4">Ed25519::verify</a></div><div class="ttdeci">static bool verify(const uint8_t signature[64], const uint8_t publicKey[32], const void *message, size_t len)</div><div class="ttdoc">Verifies a signature using a specific Ed25519 public key. </div><div class="ttdef"><b>Definition:</b> <a href="Ed25519_8cpp_source.html#l00189">Ed25519.cpp:189</a></div></div>
<div class="ttc" id="classSHA512_html"><div class="ttname"><a href="classSHA512.html">SHA512</a></div><div class="ttdoc">SHA-512 hash algorithm. </div><div class="ttdef"><b>Definition:</b> <a href="SHA512_8h_source.html#l00030">SHA512.h:30</a></div></div>
<div class="ttc" id="classEd25519_html"><div class="ttname"><a href="classEd25519.html">Ed25519</a></div><div class="ttdoc">Digital signatures based on the elliptic curve modulo 2^255 - 19. </div><div class="ttdef"><b>Definition:</b> <a href="Ed25519_8h_source.html#l00029">Ed25519.h:29</a></div></div>
<div class="ttc" id="classEd25519_html_a36ecf67b4c5d2d39a31888f56af1f8a5"><div class="ttname"><a href="classEd25519.html#a36ecf67b4c5d2d39a31888f56af1f8a5">Ed25519::sign</a></div><div class="ttdeci">static void sign(uint8_t signature[64], const uint8_t privateKey[32], const uint8_t publicKey[32], const void *message, size_t len)</div><div class="ttdoc">Signs a message using a specific Ed25519 private key. </div><div class="ttdef"><b>Definition:</b> <a href="Ed25519_8cpp_source.html#l00127">Ed25519.cpp:127</a></div></div>
<div class="ttc" id="classEd25519_html_ab62bac52ed07f77f76f3ff0fccd71cb2"><div class="ttname"><a href="classEd25519.html#ab62bac52ed07f77f76f3ff0fccd71cb2">Ed25519::derivePublicKey</a></div><div class="ttdeci">static void derivePublicKey(uint8_t publicKey[32], const uint8_t privateKey[32])</div><div class="ttdoc">Derives the public key from a private key. </div><div class="ttdef"><b>Definition:</b> <a href="Ed25519_8cpp_source.html#l00256">Ed25519.cpp:256</a></div></div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="preprocessor">#include &quot;Poly1305.h&quot;</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="preprocessor">#include &quot;Crypto.h&quot;</span></div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160;<span class="comment">// Useful sizes for limb array and word manipulation.</span></div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define lelimbtoh(x) (le32toh((x)))</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define htolelimb(x) (htole32((x)))</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#if defined(CRYPTO_LITTLE_ENDIAN)</span></div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define littleToHost(r,size) do { ; } while (0)</span></div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#else</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define littleToHost(r,size) \</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160;<span class="preprocessor"> do { \</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160;<span class="preprocessor"> for (uint8_t i = 0; i &lt; (size); ++i) \</span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160;<span class="preprocessor"> (r)[i] = lelimbtoh((r)[i]); \</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;<span class="preprocessor"> } while (0)</span></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00090"></a><span class="lineno"><a class="line" href="classPoly1305.html#a7d62e7cd2d67f1c72142580036066fa2"> 90</a></span>&#160;<a class="code" href="classPoly1305.html#a7d62e7cd2d67f1c72142580036066fa2">Poly1305::Poly1305</a>()</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160;{</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; state.chunkSize = 0;</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160;}</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160;</div>
<div class="line"><a name="l00099"></a><span class="lineno"><a class="line" href="classPoly1305.html#ac021b5ebbc123fa4c0ee36330472c25d"> 99</a></span>&#160;<a class="code" href="classPoly1305.html#ac021b5ebbc123fa4c0ee36330472c25d">Poly1305::~Poly1305</a>()</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160;{</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; clean(state);</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160;}</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160;</div>
<div class="line"><a name="l00111"></a><span class="lineno"><a class="line" href="classPoly1305.html#a544839403d0a19300c239708bc1e6ed8"> 111</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classPoly1305.html#a544839403d0a19300c239708bc1e6ed8">Poly1305::reset</a>(<span class="keyword">const</span> <span class="keywordtype">void</span> *key)</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160;{</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; <span class="comment">// Copy the key into place and clear the bits we don&#39;t need.</span></div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; uint8_t *r = (uint8_t *)state.r;</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; memcpy(r, key, 16);</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; r[3] &amp;= 0x0F;</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; r[4] &amp;= 0xFC;</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; r[7] &amp;= 0x0F;</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; r[8] &amp;= 0xFC;</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; r[11] &amp;= 0x0F;</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; r[12] &amp;= 0xFC;</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; r[15] &amp;= 0x0F;</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160;</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; <span class="comment">// Convert into little-endian if necessary.</span></div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; littleToHost(state.r, NUM_LIMBS_128BIT);</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160;</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160; <span class="comment">// Reset the hashing process.</span></div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; state.chunkSize = 0;</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160; memset(state.h, 0, <span class="keyword">sizeof</span>(state.h));</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160;}</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160;</div>
<div class="line"><a name="l00143"></a><span class="lineno"><a class="line" href="classPoly1305.html#ae4e0b647ff93f501bd01459b1616557c"> 143</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classPoly1305.html#ae4e0b647ff93f501bd01459b1616557c">Poly1305::update</a>(<span class="keyword">const</span> <span class="keywordtype">void</span> *data, <span class="keywordtype">size_t</span> len)</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160;{</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; <span class="comment">// Break the input up into 128-bit chunks and process each in turn.</span></div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; <span class="keyword">const</span> uint8_t *d = (<span class="keyword">const</span> uint8_t *)data;</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160; <span class="keywordflow">while</span> (len &gt; 0) {</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; uint8_t size = 16 - state.chunkSize;</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; <span class="keywordflow">if</span> (size &gt; len)</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; size = len;</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; memcpy(((uint8_t *)state.c) + state.chunkSize, d, size);</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; state.chunkSize += size;</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; len -= size;</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; d += size;</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; <span class="keywordflow">if</span> (state.chunkSize == 16) {</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; littleToHost(state.c, NUM_LIMBS_128BIT);</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; state.c[NUM_LIMBS_128BIT] = 1;</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160; processChunk();</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160; state.chunkSize = 0;</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160; }</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160; }</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160;}</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160;</div>
<div class="line"><a name="l00180"></a><span class="lineno"><a class="line" href="classPoly1305.html#aab3fa6c5f6fa7d9ca6c82bead38f499c"> 180</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classPoly1305.html#aab3fa6c5f6fa7d9ca6c82bead38f499c">Poly1305::finalize</a>(<span class="keyword">const</span> <span class="keywordtype">void</span> *nonce, <span class="keywordtype">void</span> *token, <span class="keywordtype">size_t</span> len)</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160;{</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160; dlimb_t carry;</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160; uint8_t i;</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160;</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160; <span class="comment">// Pad and flush the final chunk.</span></div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160; <span class="keywordflow">if</span> (state.chunkSize &gt; 0) {</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160; uint8_t *c = (uint8_t *)state.c;</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160; c[state.chunkSize] = 1;</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160; memset(c + state.chunkSize + 1, 0, 16 - state.chunkSize - 1);</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160; littleToHost(state.c, NUM_LIMBS_128BIT);</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160; state.c[NUM_LIMBS_128BIT] = 0;</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160; processChunk();</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160; }</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160;</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160; <span class="comment">// At this point, processChunk() has left h as a partially reduced</span></div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160; <span class="comment">// result that is less than (2^130 - 5) * 6. Perform one more</span></div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160; <span class="comment">// reduction and a trial subtraction to produce the final result.</span></div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160;</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160; <span class="comment">// Multiply the high bits of h by 5 and add them to the 130 low bits.</span></div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160; carry = (dlimb_t)((state.h[NUM_LIMBS_128BIT] &gt;&gt; 2) +</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160; (state.h[NUM_LIMBS_128BIT] &amp; ~((limb_t)3)));</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160; state.h[NUM_LIMBS_128BIT] &amp;= 0x0003;</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt; NUM_LIMBS_128BIT; ++i) {</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160; carry += state.h[i];</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160; state.h[i] = (limb_t)carry;</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160; carry &gt;&gt;= LIMB_BITS;</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160; }</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160; state.h[i] += (limb_t)carry;</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160;</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160; <span class="comment">// Subtract (2^130 - 5) from h by computing t = h + 5 - 2^130.</span></div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160; <span class="comment">// The &quot;minus 2^130&quot; step is implicit.</span></div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160; carry = 5;</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt; NUM_LIMBS_130BIT; ++i) {</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160; carry += state.h[i];</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160; state.t[i] = (limb_t)carry;</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160; carry &gt;&gt;= LIMB_BITS;</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160; }</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160;</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160; <span class="comment">// Borrow occurs if bit 2^130 of the previous t result is zero.</span></div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160; <span class="comment">// Carefully turn this into a selection mask so we can select either</span></div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160; <span class="comment">// h or t as the final result. We don&#39;t care about the highest word</span></div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160; <span class="comment">// of the result because we are about to drop it in the next step.</span></div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160; <span class="comment">// We have to do it this way to avoid giving away any information</span></div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160; <span class="comment">// about the value of h in the instruction timing.</span></div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160; limb_t mask = (~((state.t[NUM_LIMBS_128BIT] &gt;&gt; 2) &amp; 1)) + 1;</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160; limb_t nmask = ~mask;</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt; NUM_LIMBS_128BIT; ++i) {</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160; state.h[i] = (state.h[i] &amp; nmask) | (state.t[i] &amp; mask);</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160; }</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160;</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; <span class="comment">// Add the encrypted nonce and format the final hash.</span></div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160; memcpy(state.c, nonce, 16);</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; littleToHost(state.c, NUM_LIMBS_128BIT);</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160; carry = 0;</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt; NUM_LIMBS_128BIT; ++i) {</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160; carry += state.h[i];</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160; carry += state.c[i];</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160; state.h[i] = htolelimb((limb_t)carry);</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160; carry &gt;&gt;= LIMB_BITS;</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160; }</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160; <span class="keywordflow">if</span> (len &gt; 16)</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160; len = 16;</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160; memcpy(token, state.h, len);</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160;}</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160;</div>
<div class="line"><a name="l00251"></a><span class="lineno"><a class="line" href="classPoly1305.html#aaea2f40c1f22dcc2f8f690c793fb4388"> 251</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classPoly1305.html#aaea2f40c1f22dcc2f8f690c793fb4388">Poly1305::pad</a>()</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>&#160;{</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160; <span class="keywordflow">if</span> (state.chunkSize != 0) {</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160; memset(((uint8_t *)state.c) + state.chunkSize, 0, 16 - state.chunkSize);</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160; littleToHost(state.c, NUM_LIMBS_128BIT);</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160; state.c[NUM_LIMBS_128BIT] = 1;</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160; processChunk();</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160; state.chunkSize = 0;</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160; }</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160;}</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160;</div>
<div class="line"><a name="l00265"></a><span class="lineno"><a class="line" href="classPoly1305.html#ae3f3392b9a2bd0f3472e7e50dd7e21dd"> 265</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classPoly1305.html#ae3f3392b9a2bd0f3472e7e50dd7e21dd">Poly1305::clear</a>()</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160;{</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160; clean(state);</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160;}</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160;</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160;<span class="keywordtype">void</span> Poly1305::processChunk()</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160;{</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160; <span class="comment">// Compute h = ((h + c) * r) mod (2^130 - 5).</span></div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>&#160;</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>&#160; <span class="comment">// Start with h += c. We assume that h is less than (2^130 - 5) * 6</span></div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>&#160; <span class="comment">// and that c is less than 2^129, so the result will be less than 2^133.</span></div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>&#160; dlimb_t carry = 0;</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>&#160; uint8_t i, j;</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt; NUM_LIMBS_130BIT; ++i) {</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>&#160; carry += state.h[i];</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160; carry += state.c[i];</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160; state.h[i] = (limb_t)carry;</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>&#160; carry &gt;&gt;= LIMB_BITS;</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160; }</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160;</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>&#160; <span class="comment">// Multiply h by r. We know that r is less than 2^124 because the</span></div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>&#160; <span class="comment">// top 4 bits were AND-ed off by reset(). That makes h * r less</span></div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>&#160; <span class="comment">// than 2^257. Which is less than the (2^130 - 6)^2 we want for</span></div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>&#160; <span class="comment">// the modulo reduction step that follows.</span></div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>&#160; carry = 0;</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>&#160; limb_t word = state.r[0];</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt; NUM_LIMBS_130BIT; ++i) {</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160; carry += ((dlimb_t)(state.h[i])) * word;</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>&#160; state.t[i] = (limb_t)carry;</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>&#160; carry &gt;&gt;= LIMB_BITS;</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>&#160; }</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>&#160; state.t[NUM_LIMBS_130BIT] = (limb_t)carry;</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>&#160; <span class="keywordflow">for</span> (i = 1; i &lt; NUM_LIMBS_128BIT; ++i) {</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>&#160; word = state.r[i];</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>&#160; carry = 0;</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>&#160; <span class="keywordflow">for</span> (j = 0; j &lt; NUM_LIMBS_130BIT; ++j) {</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>&#160; carry += ((dlimb_t)(state.h[j])) * word;</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>&#160; carry += state.t[i + j];</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>&#160; state.t[i + j] = (limb_t)carry;</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>&#160; carry &gt;&gt;= LIMB_BITS;</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>&#160; }</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>&#160; state.t[i + NUM_LIMBS_130BIT] = (limb_t)carry;</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>&#160; }</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>&#160;</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>&#160; <span class="comment">// Reduce h * r modulo (2^130 - 5) by multiplying the high 130 bits by 5</span></div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>&#160; <span class="comment">// and adding them to the low 130 bits. See the explaination in the</span></div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>&#160; <span class="comment">// comments for Curve25519::reduce() for a description of how this works.</span></div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>&#160; carry = ((dlimb_t)(state.t[NUM_LIMBS_128BIT] &gt;&gt; 2)) +</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>&#160; (state.t[NUM_LIMBS_128BIT] &amp; ~((limb_t)3));</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>&#160; state.t[NUM_LIMBS_128BIT] &amp;= 0x0003;</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt; NUM_LIMBS_128BIT; ++i) {</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>&#160; <span class="comment">// Shift the next word of t up by (LIMB_BITS - 2) bits and then</span></div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>&#160; <span class="comment">// multiply it by 5. Breaking it down, we can add the results</span></div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>&#160; <span class="comment">// of shifting up by LIMB_BITS and shifting up by (LIMB_BITS - 2).</span></div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>&#160; <span class="comment">// The main wrinkle here is that this can result in an intermediate</span></div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>&#160; <span class="comment">// carry that is (LIMB_BITS * 2 + 1) bits in size which doesn&#39;t</span></div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>&#160; <span class="comment">// fit within a dlimb_t variable. However, we can defer adding</span></div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>&#160; <span class="comment">// (word &lt;&lt; LIMB_BITS) until after the &quot;carry &gt;&gt;= LIMB_BITS&quot; step</span></div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>&#160; <span class="comment">// because it won&#39;t affect the low bits of the carry.</span></div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>&#160; word = state.t[i + NUM_LIMBS_130BIT];</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>&#160; carry += ((dlimb_t)word) &lt;&lt; (LIMB_BITS - 2);</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>&#160; carry += state.t[i];</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>&#160; state.h[i] = (limb_t)carry;</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>&#160; carry &gt;&gt;= LIMB_BITS;</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>&#160; carry += word;</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>&#160; }</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>&#160; state.h[i] = (limb_t)(carry + state.t[NUM_LIMBS_128BIT]);</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>&#160;</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>&#160; <span class="comment">// At this point, h is either the answer of reducing modulo (2^130 - 5)</span></div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>&#160; <span class="comment">// or it is at most 5 subtractions away from the answer we want.</span></div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>&#160; <span class="comment">// Leave it as-is for now with h less than (2^130 - 5) * 6. It is</span></div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>&#160; <span class="comment">// still within a range where the next h * r step will not overflow.</span></div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>&#160;}</div>
<div class="ttc" id="classPoly1305_html_aab3fa6c5f6fa7d9ca6c82bead38f499c"><div class="ttname"><a href="classPoly1305.html#aab3fa6c5f6fa7d9ca6c82bead38f499c">Poly1305::finalize</a></div><div class="ttdeci">void finalize(const void *nonce, void *token, size_t len)</div><div class="ttdoc">Finalizes the authentication process and returns the token. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00180">Poly1305.cpp:180</a></div></div>
<div class="ttc" id="classPoly1305_html_a544839403d0a19300c239708bc1e6ed8"><div class="ttname"><a href="classPoly1305.html#a544839403d0a19300c239708bc1e6ed8">Poly1305::reset</a></div><div class="ttdeci">void reset(const void *key)</div><div class="ttdoc">Resets the Poly1305 message authenticator for a new session. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00111">Poly1305.cpp:111</a></div></div>
<div class="ttc" id="classPoly1305_html_ae4e0b647ff93f501bd01459b1616557c"><div class="ttname"><a href="classPoly1305.html#ae4e0b647ff93f501bd01459b1616557c">Poly1305::update</a></div><div class="ttdeci">void update(const void *data, size_t len)</div><div class="ttdoc">Updates the message authenticator with more data. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00143">Poly1305.cpp:143</a></div></div>
<div class="ttc" id="classPoly1305_html_aaea2f40c1f22dcc2f8f690c793fb4388"><div class="ttname"><a href="classPoly1305.html#aaea2f40c1f22dcc2f8f690c793fb4388">Poly1305::pad</a></div><div class="ttdeci">void pad()</div><div class="ttdoc">Pads the input stream with zero bytes to a multiple of 16. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00251">Poly1305.cpp:251</a></div></div>
<div class="ttc" id="classPoly1305_html_ac021b5ebbc123fa4c0ee36330472c25d"><div class="ttname"><a href="classPoly1305.html#ac021b5ebbc123fa4c0ee36330472c25d">Poly1305::~Poly1305</a></div><div class="ttdeci">~Poly1305()</div><div class="ttdoc">Destroys this Poly1305 message authenticator after clearing all sensitive information. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00099">Poly1305.cpp:99</a></div></div>
<div class="ttc" id="classPoly1305_html_a7d62e7cd2d67f1c72142580036066fa2"><div class="ttname"><a href="classPoly1305.html#a7d62e7cd2d67f1c72142580036066fa2">Poly1305::Poly1305</a></div><div class="ttdeci">Poly1305()</div><div class="ttdoc">Constructs a new Poly1305 message authenticator. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00090">Poly1305.cpp:90</a></div></div>
<div class="ttc" id="classPoly1305_html_ae3f3392b9a2bd0f3472e7e50dd7e21dd"><div class="ttname"><a href="classPoly1305.html#ae3f3392b9a2bd0f3472e7e50dd7e21dd">Poly1305::clear</a></div><div class="ttdeci">void clear()</div><div class="ttdoc">Clears the authenticator&#39;s state, removing all sensitive data. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00265">Poly1305.cpp:265</a></div></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="preprocessor">#include &quot;utility/LimbUtil.h&quot;</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="preprocessor">#include &lt;string.h&gt;</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160;<span class="comment">// Limb array with enough space for 130 bits.</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160;<span class="preprocessor">#define NUM_LIMBS_130BIT (NUM_LIMBS_128BIT + 1)</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160;<span class="comment">// Endian helper macros for limbs and arrays of limbs.</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160;<span class="preprocessor">#if BIGNUMBER_LIMB_8BIT</span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define lelimbtoh(x) (x)</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define htolelimb(x) (x)</span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#elif BIGNUMBER_LIMB_16BIT</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define lelimbtoh(x) (le16toh((x)))</span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define htolelimb(x) (htole16((x)))</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#elif BIGNUMBER_LIMB_32BIT</span></div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define lelimbtoh(x) (le32toh((x)))</span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define htolelimb(x) (htole32((x)))</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#if defined(CRYPTO_LITTLE_ENDIAN)</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define littleToHost(r,size) do { ; } while (0)</span></div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#else</span></div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define littleToHost(r,size) \</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160;<span class="preprocessor"> do { \</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160;<span class="preprocessor"> for (uint8_t i = 0; i &lt; (size); ++i) \</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160;<span class="preprocessor"> (r)[i] = lelimbtoh((r)[i]); \</span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160;<span class="preprocessor"> } while (0)</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00089"></a><span class="lineno"><a class="line" href="classPoly1305.html#a7d62e7cd2d67f1c72142580036066fa2"> 89</a></span>&#160;<a class="code" href="classPoly1305.html#a7d62e7cd2d67f1c72142580036066fa2">Poly1305::Poly1305</a>()</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160;{</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; state.chunkSize = 0;</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160;}</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160;</div>
<div class="line"><a name="l00098"></a><span class="lineno"><a class="line" href="classPoly1305.html#ac021b5ebbc123fa4c0ee36330472c25d"> 98</a></span>&#160;<a class="code" href="classPoly1305.html#ac021b5ebbc123fa4c0ee36330472c25d">Poly1305::~Poly1305</a>()</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160;{</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; clean(state);</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160;}</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160;</div>
<div class="line"><a name="l00110"></a><span class="lineno"><a class="line" href="classPoly1305.html#a544839403d0a19300c239708bc1e6ed8"> 110</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classPoly1305.html#a544839403d0a19300c239708bc1e6ed8">Poly1305::reset</a>(<span class="keyword">const</span> <span class="keywordtype">void</span> *key)</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160;{</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; <span class="comment">// Copy the key into place and clear the bits we don&#39;t need.</span></div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; uint8_t *r = (uint8_t *)state.r;</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; memcpy(r, key, 16);</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; r[3] &amp;= 0x0F;</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; r[4] &amp;= 0xFC;</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; r[7] &amp;= 0x0F;</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; r[8] &amp;= 0xFC;</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; r[11] &amp;= 0x0F;</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; r[12] &amp;= 0xFC;</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; r[15] &amp;= 0x0F;</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160;</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; <span class="comment">// Convert into little-endian if necessary.</span></div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; littleToHost(state.r, NUM_LIMBS_128BIT);</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160;</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160; <span class="comment">// Reset the hashing process.</span></div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160; state.chunkSize = 0;</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; memset(state.h, 0, <span class="keyword">sizeof</span>(state.h));</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160;}</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160;</div>
<div class="line"><a name="l00142"></a><span class="lineno"><a class="line" href="classPoly1305.html#ae4e0b647ff93f501bd01459b1616557c"> 142</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classPoly1305.html#ae4e0b647ff93f501bd01459b1616557c">Poly1305::update</a>(<span class="keyword">const</span> <span class="keywordtype">void</span> *data, <span class="keywordtype">size_t</span> len)</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160;{</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; <span class="comment">// Break the input up into 128-bit chunks and process each in turn.</span></div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; <span class="keyword">const</span> uint8_t *d = (<span class="keyword">const</span> uint8_t *)data;</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; <span class="keywordflow">while</span> (len &gt; 0) {</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160; uint8_t size = 16 - state.chunkSize;</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; <span class="keywordflow">if</span> (size &gt; len)</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; size = len;</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; memcpy(((uint8_t *)state.c) + state.chunkSize, d, size);</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; state.chunkSize += size;</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; len -= size;</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; d += size;</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; <span class="keywordflow">if</span> (state.chunkSize == 16) {</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; littleToHost(state.c, NUM_LIMBS_128BIT);</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; state.c[NUM_LIMBS_128BIT] = 1;</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; processChunk();</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160; state.chunkSize = 0;</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160; }</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160; }</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160;}</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160;</div>
<div class="line"><a name="l00179"></a><span class="lineno"><a class="line" href="classPoly1305.html#aab3fa6c5f6fa7d9ca6c82bead38f499c"> 179</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classPoly1305.html#aab3fa6c5f6fa7d9ca6c82bead38f499c">Poly1305::finalize</a>(<span class="keyword">const</span> <span class="keywordtype">void</span> *nonce, <span class="keywordtype">void</span> *token, <span class="keywordtype">size_t</span> len)</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160;{</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160; dlimb_t carry;</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160; uint8_t i;</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160;</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160; <span class="comment">// Pad and flush the final chunk.</span></div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160; <span class="keywordflow">if</span> (state.chunkSize &gt; 0) {</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160; uint8_t *c = (uint8_t *)state.c;</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160; c[state.chunkSize] = 1;</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160; memset(c + state.chunkSize + 1, 0, 16 - state.chunkSize - 1);</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160; littleToHost(state.c, NUM_LIMBS_128BIT);</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160; state.c[NUM_LIMBS_128BIT] = 0;</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160; processChunk();</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160; }</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160;</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160; <span class="comment">// At this point, processChunk() has left h as a partially reduced</span></div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160; <span class="comment">// result that is less than (2^130 - 5) * 6. Perform one more</span></div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160; <span class="comment">// reduction and a trial subtraction to produce the final result.</span></div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160;</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160; <span class="comment">// Multiply the high bits of h by 5 and add them to the 130 low bits.</span></div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160; carry = (dlimb_t)((state.h[NUM_LIMBS_128BIT] &gt;&gt; 2) +</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160; (state.h[NUM_LIMBS_128BIT] &amp; ~((limb_t)3)));</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160; state.h[NUM_LIMBS_128BIT] &amp;= 0x0003;</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt; NUM_LIMBS_128BIT; ++i) {</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160; carry += state.h[i];</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160; state.h[i] = (limb_t)carry;</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160; carry &gt;&gt;= LIMB_BITS;</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160; }</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160; state.h[i] += (limb_t)carry;</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160;</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160; <span class="comment">// Subtract (2^130 - 5) from h by computing t = h + 5 - 2^130.</span></div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160; <span class="comment">// The &quot;minus 2^130&quot; step is implicit.</span></div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160; carry = 5;</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt; NUM_LIMBS_130BIT; ++i) {</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160; carry += state.h[i];</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160; state.t[i] = (limb_t)carry;</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160; carry &gt;&gt;= LIMB_BITS;</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160; }</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160;</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160; <span class="comment">// Borrow occurs if bit 2^130 of the previous t result is zero.</span></div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160; <span class="comment">// Carefully turn this into a selection mask so we can select either</span></div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160; <span class="comment">// h or t as the final result. We don&#39;t care about the highest word</span></div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160; <span class="comment">// of the result because we are about to drop it in the next step.</span></div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160; <span class="comment">// We have to do it this way to avoid giving away any information</span></div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160; <span class="comment">// about the value of h in the instruction timing.</span></div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160; limb_t mask = (~((state.t[NUM_LIMBS_128BIT] &gt;&gt; 2) &amp; 1)) + 1;</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160; limb_t nmask = ~mask;</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt; NUM_LIMBS_128BIT; ++i) {</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160; state.h[i] = (state.h[i] &amp; nmask) | (state.t[i] &amp; mask);</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160; }</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160;</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160; <span class="comment">// Add the encrypted nonce and format the final hash.</span></div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; memcpy(state.c, nonce, 16);</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160; littleToHost(state.c, NUM_LIMBS_128BIT);</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; carry = 0;</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt; NUM_LIMBS_128BIT; ++i) {</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160; carry += state.h[i];</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160; carry += state.c[i];</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160; state.h[i] = htolelimb((limb_t)carry);</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160; carry &gt;&gt;= LIMB_BITS;</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160; }</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160; <span class="keywordflow">if</span> (len &gt; 16)</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160; len = 16;</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160; memcpy(token, state.h, len);</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160;}</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160;</div>
<div class="line"><a name="l00250"></a><span class="lineno"><a class="line" href="classPoly1305.html#aaea2f40c1f22dcc2f8f690c793fb4388"> 250</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classPoly1305.html#aaea2f40c1f22dcc2f8f690c793fb4388">Poly1305::pad</a>()</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160;{</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>&#160; <span class="keywordflow">if</span> (state.chunkSize != 0) {</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160; memset(((uint8_t *)state.c) + state.chunkSize, 0, 16 - state.chunkSize);</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160; littleToHost(state.c, NUM_LIMBS_128BIT);</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160; state.c[NUM_LIMBS_128BIT] = 1;</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160; processChunk();</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160; state.chunkSize = 0;</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160; }</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160;}</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160;</div>
<div class="line"><a name="l00264"></a><span class="lineno"><a class="line" href="classPoly1305.html#ae3f3392b9a2bd0f3472e7e50dd7e21dd"> 264</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classPoly1305.html#ae3f3392b9a2bd0f3472e7e50dd7e21dd">Poly1305::clear</a>()</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160;{</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160; clean(state);</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160;}</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160;</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160;<span class="keywordtype">void</span> Poly1305::processChunk()</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160;{</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160; <span class="comment">// Compute h = ((h + c) * r) mod (2^130 - 5).</span></div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160;</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>&#160; <span class="comment">// Start with h += c. We assume that h is less than (2^130 - 5) * 6</span></div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>&#160; <span class="comment">// and that c is less than 2^129, so the result will be less than 2^133.</span></div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>&#160; dlimb_t carry = 0;</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>&#160; uint8_t i, j;</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt; NUM_LIMBS_130BIT; ++i) {</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>&#160; carry += state.h[i];</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>&#160; carry += state.c[i];</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160; state.h[i] = (limb_t)carry;</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160; carry &gt;&gt;= LIMB_BITS;</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>&#160; }</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160;</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160; <span class="comment">// Multiply h by r. We know that r is less than 2^124 because the</span></div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>&#160; <span class="comment">// top 4 bits were AND-ed off by reset(). That makes h * r less</span></div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>&#160; <span class="comment">// than 2^257. Which is less than the (2^130 - 6)^2 we want for</span></div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>&#160; <span class="comment">// the modulo reduction step that follows.</span></div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>&#160; carry = 0;</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>&#160; limb_t word = state.r[0];</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt; NUM_LIMBS_130BIT; ++i) {</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>&#160; carry += ((dlimb_t)(state.h[i])) * word;</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160; state.t[i] = (limb_t)carry;</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>&#160; carry &gt;&gt;= LIMB_BITS;</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>&#160; }</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>&#160; state.t[NUM_LIMBS_130BIT] = (limb_t)carry;</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>&#160; <span class="keywordflow">for</span> (i = 1; i &lt; NUM_LIMBS_128BIT; ++i) {</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>&#160; word = state.r[i];</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>&#160; carry = 0;</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>&#160; <span class="keywordflow">for</span> (j = 0; j &lt; NUM_LIMBS_130BIT; ++j) {</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>&#160; carry += ((dlimb_t)(state.h[j])) * word;</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>&#160; carry += state.t[i + j];</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>&#160; state.t[i + j] = (limb_t)carry;</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>&#160; carry &gt;&gt;= LIMB_BITS;</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>&#160; }</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>&#160; state.t[i + NUM_LIMBS_130BIT] = (limb_t)carry;</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>&#160; }</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>&#160;</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>&#160; <span class="comment">// Reduce h * r modulo (2^130 - 5) by multiplying the high 130 bits by 5</span></div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>&#160; <span class="comment">// and adding them to the low 130 bits. See the explaination in the</span></div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>&#160; <span class="comment">// comments for Curve25519::reduce() for a description of how this works.</span></div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>&#160; carry = ((dlimb_t)(state.t[NUM_LIMBS_128BIT] &gt;&gt; 2)) +</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>&#160; (state.t[NUM_LIMBS_128BIT] &amp; ~((limb_t)3));</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>&#160; state.t[NUM_LIMBS_128BIT] &amp;= 0x0003;</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt; NUM_LIMBS_128BIT; ++i) {</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>&#160; <span class="comment">// Shift the next word of t up by (LIMB_BITS - 2) bits and then</span></div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>&#160; <span class="comment">// multiply it by 5. Breaking it down, we can add the results</span></div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>&#160; <span class="comment">// of shifting up by LIMB_BITS and shifting up by (LIMB_BITS - 2).</span></div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>&#160; <span class="comment">// The main wrinkle here is that this can result in an intermediate</span></div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>&#160; <span class="comment">// carry that is (LIMB_BITS * 2 + 1) bits in size which doesn&#39;t</span></div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>&#160; <span class="comment">// fit within a dlimb_t variable. However, we can defer adding</span></div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>&#160; <span class="comment">// (word &lt;&lt; LIMB_BITS) until after the &quot;carry &gt;&gt;= LIMB_BITS&quot; step</span></div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>&#160; <span class="comment">// because it won&#39;t affect the low bits of the carry.</span></div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>&#160; word = state.t[i + NUM_LIMBS_130BIT];</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>&#160; carry += ((dlimb_t)word) &lt;&lt; (LIMB_BITS - 2);</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>&#160; carry += state.t[i];</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>&#160; state.h[i] = (limb_t)carry;</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>&#160; carry &gt;&gt;= LIMB_BITS;</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>&#160; carry += word;</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>&#160; }</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>&#160; state.h[i] = (limb_t)(carry + state.t[NUM_LIMBS_128BIT]);</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>&#160;</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>&#160; <span class="comment">// At this point, h is either the answer of reducing modulo (2^130 - 5)</span></div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>&#160; <span class="comment">// or it is at most 5 subtractions away from the answer we want.</span></div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>&#160; <span class="comment">// Leave it as-is for now with h less than (2^130 - 5) * 6. It is</span></div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>&#160; <span class="comment">// still within a range where the next h * r step will not overflow.</span></div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>&#160;}</div>
<div class="ttc" id="classPoly1305_html_aab3fa6c5f6fa7d9ca6c82bead38f499c"><div class="ttname"><a href="classPoly1305.html#aab3fa6c5f6fa7d9ca6c82bead38f499c">Poly1305::finalize</a></div><div class="ttdeci">void finalize(const void *nonce, void *token, size_t len)</div><div class="ttdoc">Finalizes the authentication process and returns the token. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00179">Poly1305.cpp:179</a></div></div>
<div class="ttc" id="classPoly1305_html_a544839403d0a19300c239708bc1e6ed8"><div class="ttname"><a href="classPoly1305.html#a544839403d0a19300c239708bc1e6ed8">Poly1305::reset</a></div><div class="ttdeci">void reset(const void *key)</div><div class="ttdoc">Resets the Poly1305 message authenticator for a new session. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00110">Poly1305.cpp:110</a></div></div>
<div class="ttc" id="classPoly1305_html_ae4e0b647ff93f501bd01459b1616557c"><div class="ttname"><a href="classPoly1305.html#ae4e0b647ff93f501bd01459b1616557c">Poly1305::update</a></div><div class="ttdeci">void update(const void *data, size_t len)</div><div class="ttdoc">Updates the message authenticator with more data. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00142">Poly1305.cpp:142</a></div></div>
<div class="ttc" id="classPoly1305_html_aaea2f40c1f22dcc2f8f690c793fb4388"><div class="ttname"><a href="classPoly1305.html#aaea2f40c1f22dcc2f8f690c793fb4388">Poly1305::pad</a></div><div class="ttdeci">void pad()</div><div class="ttdoc">Pads the input stream with zero bytes to a multiple of 16. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00250">Poly1305.cpp:250</a></div></div>
<div class="ttc" id="classPoly1305_html_ac021b5ebbc123fa4c0ee36330472c25d"><div class="ttname"><a href="classPoly1305.html#ac021b5ebbc123fa4c0ee36330472c25d">Poly1305::~Poly1305</a></div><div class="ttdeci">~Poly1305()</div><div class="ttdoc">Destroys this Poly1305 message authenticator after clearing all sensitive information. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00098">Poly1305.cpp:98</a></div></div>
<div class="ttc" id="classPoly1305_html_a7d62e7cd2d67f1c72142580036066fa2"><div class="ttname"><a href="classPoly1305.html#a7d62e7cd2d67f1c72142580036066fa2">Poly1305::Poly1305</a></div><div class="ttdeci">Poly1305()</div><div class="ttdoc">Constructs a new Poly1305 message authenticator. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00089">Poly1305.cpp:89</a></div></div>
<div class="ttc" id="classPoly1305_html_ae3f3392b9a2bd0f3472e7e50dd7e21dd"><div class="ttname"><a href="classPoly1305.html#ae3f3392b9a2bd0f3472e7e50dd7e21dd">Poly1305::clear</a></div><div class="ttdeci">void clear()</div><div class="ttdoc">Clears the authenticator&#39;s state, removing all sensitive data. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00264">Poly1305.cpp:264</a></div></div>
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@ -144,17 +144,17 @@ var searchBox = new SearchBox("searchBox", "search",false,'Search');
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160;</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="ttc" id="classPoly1305_html"><div class="ttname"><a href="classPoly1305.html">Poly1305</a></div><div class="ttdoc">Poly1305 message authenticator. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8h_source.html#l00029">Poly1305.h:29</a></div></div>
<div class="ttc" id="classPoly1305_html_aab3fa6c5f6fa7d9ca6c82bead38f499c"><div class="ttname"><a href="classPoly1305.html#aab3fa6c5f6fa7d9ca6c82bead38f499c">Poly1305::finalize</a></div><div class="ttdeci">void finalize(const void *nonce, void *token, size_t len)</div><div class="ttdoc">Finalizes the authentication process and returns the token. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00180">Poly1305.cpp:180</a></div></div>
<div class="ttc" id="classPoly1305_html_a544839403d0a19300c239708bc1e6ed8"><div class="ttname"><a href="classPoly1305.html#a544839403d0a19300c239708bc1e6ed8">Poly1305::reset</a></div><div class="ttdeci">void reset(const void *key)</div><div class="ttdoc">Resets the Poly1305 message authenticator for a new session. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00111">Poly1305.cpp:111</a></div></div>
<div class="ttc" id="classPoly1305_html_ae4e0b647ff93f501bd01459b1616557c"><div class="ttname"><a href="classPoly1305.html#ae4e0b647ff93f501bd01459b1616557c">Poly1305::update</a></div><div class="ttdeci">void update(const void *data, size_t len)</div><div class="ttdoc">Updates the message authenticator with more data. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00143">Poly1305.cpp:143</a></div></div>
<div class="ttc" id="classPoly1305_html_aaea2f40c1f22dcc2f8f690c793fb4388"><div class="ttname"><a href="classPoly1305.html#aaea2f40c1f22dcc2f8f690c793fb4388">Poly1305::pad</a></div><div class="ttdeci">void pad()</div><div class="ttdoc">Pads the input stream with zero bytes to a multiple of 16. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00251">Poly1305.cpp:251</a></div></div>
<div class="ttc" id="classPoly1305_html_ac021b5ebbc123fa4c0ee36330472c25d"><div class="ttname"><a href="classPoly1305.html#ac021b5ebbc123fa4c0ee36330472c25d">Poly1305::~Poly1305</a></div><div class="ttdeci">~Poly1305()</div><div class="ttdoc">Destroys this Poly1305 message authenticator after clearing all sensitive information. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00099">Poly1305.cpp:99</a></div></div>
<div class="ttc" id="classPoly1305_html_a7d62e7cd2d67f1c72142580036066fa2"><div class="ttname"><a href="classPoly1305.html#a7d62e7cd2d67f1c72142580036066fa2">Poly1305::Poly1305</a></div><div class="ttdeci">Poly1305()</div><div class="ttdoc">Constructs a new Poly1305 message authenticator. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00090">Poly1305.cpp:90</a></div></div>
<div class="ttc" id="classPoly1305_html_ae3f3392b9a2bd0f3472e7e50dd7e21dd"><div class="ttname"><a href="classPoly1305.html#ae3f3392b9a2bd0f3472e7e50dd7e21dd">Poly1305::clear</a></div><div class="ttdeci">void clear()</div><div class="ttdoc">Clears the authenticator&#39;s state, removing all sensitive data. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00265">Poly1305.cpp:265</a></div></div>
<div class="ttc" id="classPoly1305_html_aab3fa6c5f6fa7d9ca6c82bead38f499c"><div class="ttname"><a href="classPoly1305.html#aab3fa6c5f6fa7d9ca6c82bead38f499c">Poly1305::finalize</a></div><div class="ttdeci">void finalize(const void *nonce, void *token, size_t len)</div><div class="ttdoc">Finalizes the authentication process and returns the token. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00179">Poly1305.cpp:179</a></div></div>
<div class="ttc" id="classPoly1305_html_a544839403d0a19300c239708bc1e6ed8"><div class="ttname"><a href="classPoly1305.html#a544839403d0a19300c239708bc1e6ed8">Poly1305::reset</a></div><div class="ttdeci">void reset(const void *key)</div><div class="ttdoc">Resets the Poly1305 message authenticator for a new session. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00110">Poly1305.cpp:110</a></div></div>
<div class="ttc" id="classPoly1305_html_ae4e0b647ff93f501bd01459b1616557c"><div class="ttname"><a href="classPoly1305.html#ae4e0b647ff93f501bd01459b1616557c">Poly1305::update</a></div><div class="ttdeci">void update(const void *data, size_t len)</div><div class="ttdoc">Updates the message authenticator with more data. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00142">Poly1305.cpp:142</a></div></div>
<div class="ttc" id="classPoly1305_html_aaea2f40c1f22dcc2f8f690c793fb4388"><div class="ttname"><a href="classPoly1305.html#aaea2f40c1f22dcc2f8f690c793fb4388">Poly1305::pad</a></div><div class="ttdeci">void pad()</div><div class="ttdoc">Pads the input stream with zero bytes to a multiple of 16. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00250">Poly1305.cpp:250</a></div></div>
<div class="ttc" id="classPoly1305_html_ac021b5ebbc123fa4c0ee36330472c25d"><div class="ttname"><a href="classPoly1305.html#ac021b5ebbc123fa4c0ee36330472c25d">Poly1305::~Poly1305</a></div><div class="ttdeci">~Poly1305()</div><div class="ttdoc">Destroys this Poly1305 message authenticator after clearing all sensitive information. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00098">Poly1305.cpp:98</a></div></div>
<div class="ttc" id="classPoly1305_html_a7d62e7cd2d67f1c72142580036066fa2"><div class="ttname"><a href="classPoly1305.html#a7d62e7cd2d67f1c72142580036066fa2">Poly1305::Poly1305</a></div><div class="ttdeci">Poly1305()</div><div class="ttdoc">Constructs a new Poly1305 message authenticator. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00089">Poly1305.cpp:89</a></div></div>
<div class="ttc" id="classPoly1305_html_ae3f3392b9a2bd0f3472e7e50dd7e21dd"><div class="ttname"><a href="classPoly1305.html#ae3f3392b9a2bd0f3472e7e50dd7e21dd">Poly1305::clear</a></div><div class="ttdeci">void clear()</div><div class="ttdoc">Clears the authenticator&#39;s state, removing all sensitive data. </div><div class="ttdef"><b>Definition:</b> <a href="Poly1305_8cpp_source.html#l00264">Poly1305.cpp:264</a></div></div>
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