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<div class="title">BigNumberUtil.h</div> </div>
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<div class="contents">
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
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<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2015 Southern Storm Software, Pty Ltd.</span></div>
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<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> *</span></div>
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> * Permission is hereby granted, free of charge, to any person obtaining a</span></div>
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<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * copy of this software and associated documentation files (the "Software"),</span></div>
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<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * to deal in the Software without restriction, including without limitation</span></div>
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<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * the rights to use, copy, modify, merge, publish, distribute, sublicense,</span></div>
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<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> * and/or sell copies of the Software, and to permit persons to whom the</span></div>
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<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"> * Software is furnished to do so, subject to the following conditions:</span></div>
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<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> *</span></div>
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<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> * The above copyright notice and this permission notice shall be included</span></div>
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<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> * in all copies or substantial portions of the Software.</span></div>
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<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> *</span></div>
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<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS</span></div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,</span></div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE</span></div>
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<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER</span></div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING</span></div>
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<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"> * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER</span></div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment"> * DEALINGS IN THE SOFTWARE.</span></div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="comment"> */</span></div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> </div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#ifndef CRYPTO_BIGNUMBERUTIL_h</span></div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor"></span><span class="preprocessor">#define CRYPTO_BIGNUMBERUTIL_h</span></div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor"></span></div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <inttypes.h></span></div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include <stddef.h></span></div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> </div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="comment">// Define exactly one of these to 1 to set the size of the basic limb type.</span></div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#if defined(__AVR__) || defined(ESP8266)</span></div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor"></span><span class="comment">// 16-bit limbs seem to give the best performance on 8-bit AVR micros.</span></div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment">// They also seem to give better performance on ESP8266 as well.</span></div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#define BIGNUMBER_LIMB_8BIT 0</span></div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor"></span><span class="preprocessor">#define BIGNUMBER_LIMB_16BIT 1</span></div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor"></span><span class="preprocessor">#define BIGNUMBER_LIMB_32BIT 0</span></div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor"></span><span class="preprocessor">#define BIGNUMBER_LIMB_64BIT 0</span></div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor"></span><span class="preprocessor">#elif defined(__GNUC__) && __WORDSIZE == 64</span></div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="preprocessor"></span><span class="comment">// 64-bit system with 128-bit double limbs.</span></div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#define BIGNUMBER_LIMB_8BIT 0</span></div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="preprocessor"></span><span class="preprocessor">#define BIGNUMBER_LIMB_16BIT 0</span></div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="preprocessor"></span><span class="preprocessor">#define BIGNUMBER_LIMB_32BIT 0</span></div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="preprocessor"></span><span class="preprocessor">#define BIGNUMBER_LIMB_64BIT 1</span></div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="preprocessor"></span><span class="preprocessor">#else</span></div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="preprocessor"></span><span class="comment">// On all other platforms, assume 32-bit is best.</span></div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="preprocessor">#define BIGNUMBER_LIMB_8BIT 0</span></div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="preprocessor"></span><span class="preprocessor">#define BIGNUMBER_LIMB_16BIT 0</span></div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="preprocessor"></span><span class="preprocessor">#define BIGNUMBER_LIMB_32BIT 1</span></div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="preprocessor"></span><span class="preprocessor">#define BIGNUMBER_LIMB_64BIT 0</span></div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="preprocessor"></span></div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="comment">// Define the limb types to use on this platform.</span></div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="preprocessor">#if BIGNUMBER_LIMB_8BIT</span></div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="preprocessor"></span><span class="keyword">typedef</span> uint8_t limb_t;</div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="keyword">typedef</span> int8_t slimb_t;</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="keyword">typedef</span> uint16_t dlimb_t;</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="preprocessor">#elif BIGNUMBER_LIMB_16BIT</span></div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="preprocessor"></span><span class="keyword">typedef</span> uint16_t limb_t;</div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="keyword">typedef</span> int16_t slimb_t;</div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="keyword">typedef</span> uint32_t dlimb_t;</div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="preprocessor">#elif BIGNUMBER_LIMB_32BIT</span></div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="preprocessor"></span><span class="keyword">typedef</span> uint32_t limb_t;</div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="keyword">typedef</span> int32_t slimb_t;</div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="keyword">typedef</span> uint64_t dlimb_t;</div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="preprocessor">#elif BIGNUMBER_LIMB_64BIT</span></div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="preprocessor"></span><span class="keyword">typedef</span> uint64_t limb_t;</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="keyword">typedef</span> int64_t slimb_t;</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="keyword">typedef</span> <span class="keywordtype">unsigned</span> __int128 dlimb_t;</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="preprocessor">#else</span></div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <span class="preprocessor"></span><span class="preprocessor">#error "limb_t must be 8, 16, 32, or 64 bits in size"</span></div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="preprocessor"></span></div>
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<div class="line"><a name="l00072"></a><span class="lineno"><a class="line" href="classBigNumberUtil.html"> 72</a></span> <span class="keyword">class </span><a class="code" href="classBigNumberUtil.html">BigNumberUtil</a></div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> {</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="keyword">public</span>:</div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classBigNumberUtil.html#a25041f898c417c8dd63f30536287ed79">unpackLE</a>(limb_t *limbs, <span class="keywordtype">size_t</span> count,</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keyword">const</span> uint8_t *bytes, <span class="keywordtype">size_t</span> len);</div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classBigNumberUtil.html#a63f9d7884eb36227d39e1b95e219d865">unpackBE</a>(limb_t *limbs, <span class="keywordtype">size_t</span> count,</div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keyword">const</span> uint8_t *bytes, <span class="keywordtype">size_t</span> len);</div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classBigNumberUtil.html#a989cd5f389ac5adc798d8767383e2810">packLE</a>(uint8_t *bytes, <span class="keywordtype">size_t</span> len,</div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keyword">const</span> limb_t *limbs, <span class="keywordtype">size_t</span> count);</div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <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>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keyword">const</span> limb_t *limbs, <span class="keywordtype">size_t</span> count);</div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> </div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <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>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keyword">const</span> limb_t *y, <span class="keywordtype">size_t</span> size);</div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <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>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keyword">const</span> limb_t *y, <span class="keywordtype">size_t</span> size);</div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <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>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keyword">const</span> limb_t *y, <span class="keywordtype">size_t</span> ycount);</div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <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>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="keyword">const</span> limb_t *y, <span class="keywordtype">size_t</span> size);</div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> </div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <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>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keyword">const</span> limb_t *y, <span class="keywordtype">size_t</span> size);</div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <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>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keyword">const</span> limb_t *y, <span class="keywordtype">size_t</span> size);</div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <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>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keyword">const</span> limb_t *y, <span class="keywordtype">size_t</span> ycount);</div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <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>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="keyword">const</span> limb_t *y, <span class="keywordtype">size_t</span> size);</div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> </div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keyword">static</span> limb_t <a class="code" href="classBigNumberUtil.html#ad0aafacd8e224bd543341973c62ff1dd">isZero</a>(<span class="keyword">const</span> limb_t *x, <span class="keywordtype">size_t</span> size);</div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> </div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="keyword">private</span>:</div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="comment">// Constructor and destructor are private - cannot instantiate this class.</span></div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <a class="code" href="classBigNumberUtil.html">BigNumberUtil</a>() {}</div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  ~<a class="code" href="classBigNumberUtil.html">BigNumberUtil</a>() {}</div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> };</div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> </div>
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<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="preprocessor">#endif</span></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#l00734">BigNumberUtil.cpp:734</a></div></div>
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<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#l00495">BigNumberUtil.cpp:495</a></div></div>
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<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#l00655">BigNumberUtil.cpp:655</a></div></div>
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<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#l00598">BigNumberUtil.cpp:598</a></div></div>
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<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#l00522">BigNumberUtil.cpp:522</a></div></div>
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<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#l00072">BigNumberUtil.h:72</a></div></div>
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<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#l00680">BigNumberUtil.cpp:680</a></div></div>
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<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#l00375">BigNumberUtil.cpp:375</a></div></div>
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<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>
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<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#l00546">BigNumberUtil.cpp:546</a></div></div>
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<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#l00163">BigNumberUtil.cpp:163</a></div></div>
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<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#l00264">BigNumberUtil.cpp:264</a></div></div>
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<div class="ttc" id="classBigNumberUtil_html_ad0aafacd8e224bd543341973c62ff1dd"><div class="ttname"><a href="classBigNumberUtil.html#ad0aafacd8e224bd543341973c62ff1dd">BigNumberUtil::isZero</a></div><div class="ttdeci">static limb_t isZero(const limb_t *x, size_t size)</div><div class="ttdoc">Determine if a big number is zero. </div><div class="ttdef"><b>Definition:</b> <a href="BigNumberUtil_8cpp_source.html#l00761">BigNumberUtil.cpp:761</a></div></div>
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<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#l00628">BigNumberUtil.cpp:628</a></div></div>
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