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<div class="title">biginteger.h</div> </div>
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<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="comment">// Tencent is pleased to support the open source community by making RapidJSON available.</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment">// </span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment">// Copyright (C) 2015 THL A29 Limited, a Tencent company, and Milo Yip.</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment">// Licensed under the MIT License (the &quot;License&quot;); you may not use this file except</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment">// in compliance with the License. You may obtain a copy of the License at</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment">// http://opensource.org/licenses/MIT</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment">// Unless required by applicable law or agreed to in writing, software distributed </span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment">// under the License is distributed on an &quot;AS IS&quot; BASIS, WITHOUT WARRANTIES OR </span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="comment">// CONDITIONS OF ANY KIND, either express or implied. See the License for the </span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;<span class="comment">// specific language governing permissions and limitations under the License.</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160; </div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="preprocessor">#ifndef RAPIDJSON_BIGINTEGER_H_</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="preprocessor">#define RAPIDJSON_BIGINTEGER_H_</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160; </div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="preprocessor">#include &quot;../rapidjson.h&quot;</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160; </div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="preprocessor">#if defined(_MSC_VER) &amp;&amp; !defined(__INTEL_COMPILER) &amp;&amp; defined(_M_AMD64)</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="preprocessor">#include &lt;intrin.h&gt;</span> <span class="comment">// for _umul128</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="preprocessor">#pragma intrinsic(_umul128)</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160; </div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;RAPIDJSON_NAMESPACE_BEGIN</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160; </div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="keyword">class </span>BigInteger {</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160; <span class="keyword">typedef</span> uint64_t <a class="code" href="namespacerapidjson.html#ae79a4751c1c460ff0de5ecc07874f3e4">Type</a>;</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160; </div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; BigInteger(<span class="keyword">const</span> BigInteger&amp; rhs) : count_(rhs.count_) {</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; std::memcpy(digits_, rhs.digits_, count_ * <span class="keyword">sizeof</span>(<a class="code" href="namespacerapidjson.html#ae79a4751c1c460ff0de5ecc07874f3e4">Type</a>));</div>
<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; </div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; <span class="keyword">explicit</span> BigInteger(uint64_t u) : count_(1) {</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; digits_[0] = u;</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; }</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; </div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; BigInteger(<span class="keyword">const</span> <span class="keywordtype">char</span>* decimals, <span class="keywordtype">size_t</span> length) : count_(1) {</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <a class="code" href="group___r_a_p_i_d_j_s_o_n___c_o_n_f_i_g.html#gabeba18d612187bad2ac62aed9276d47c">RAPIDJSON_ASSERT</a>(length &gt; 0);</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; digits_[0] = 0;</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; <span class="keywordtype">size_t</span> i = 0;</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; <span class="keyword">const</span> <span class="keywordtype">size_t</span> kMaxDigitPerIteration = 19; <span class="comment">// 2^64 = 18446744073709551616 &gt; 10^19</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; <span class="keywordflow">while</span> (length &gt;= kMaxDigitPerIteration) {</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; AppendDecimal64(decimals + i, decimals + i + kMaxDigitPerIteration);</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; length -= kMaxDigitPerIteration;</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; i += kMaxDigitPerIteration;</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; </div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; <span class="keywordflow">if</span> (length &gt; 0)</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; AppendDecimal64(decimals + i, decimals + i + length);</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; BigInteger&amp; operator=(<span class="keyword">const</span> BigInteger &amp;rhs)</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="keywordflow">if</span> (<span class="keyword">this</span> != &amp;rhs) {</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; count_ = rhs.count_;</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; std::memcpy(digits_, rhs.digits_, count_ * <span class="keyword">sizeof</span>(<a class="code" href="namespacerapidjson.html#ae79a4751c1c460ff0de5ecc07874f3e4">Type</a>));</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="keywordflow">return</span> *<span class="keyword">this</span>;</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; </div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; BigInteger&amp; operator=(uint64_t u) {</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; digits_[0] = u; </div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; count_ = 1;</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</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; BigInteger&amp; operator+=(uint64_t u) {</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; <a class="code" href="namespacerapidjson.html#ae79a4751c1c460ff0de5ecc07874f3e4">Type</a> backup = digits_[0];</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; digits_[0] += u;</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; count_ - 1; i++) {</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; <span class="keywordflow">if</span> (digits_[i] &gt;= backup)</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>; <span class="comment">// no carry</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; backup = digits_[i + 1];</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; digits_[i + 1] += 1;</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; }</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="comment">// Last carry</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; <span class="keywordflow">if</span> (digits_[count_ - 1] &lt; backup)</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; PushBack(1);</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">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; }</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; </div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; BigInteger&amp; operator*=(uint64_t u) {</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; <span class="keywordflow">if</span> (u == 0) <span class="keywordflow">return</span> *<span class="keyword">this</span> = 0;</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; <span class="keywordflow">if</span> (u == 1) <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; <span class="keywordflow">if</span> (*<span class="keyword">this</span> == 1) <span class="keywordflow">return</span> *<span class="keyword">this</span> = u;</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; uint64_t k = 0;</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; count_; i++) {</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; uint64_t hi;</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; digits_[i] = MulAdd64(digits_[i], u, k, &amp;hi);</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; k = hi;</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; </div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; <span class="keywordflow">if</span> (k &gt; 0)</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; PushBack(k);</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; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; }</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; </div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; BigInteger&amp; operator*=(uint32_t u) {</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; <span class="keywordflow">if</span> (u == 0) <span class="keywordflow">return</span> *<span class="keyword">this</span> = 0;</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; <span class="keywordflow">if</span> (u == 1) <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; <span class="keywordflow">if</span> (*<span class="keyword">this</span> == 1) <span class="keywordflow">return</span> *<span class="keyword">this</span> = u;</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; uint64_t k = 0;</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; count_; i++) {</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; <span class="keyword">const</span> uint64_t c = digits_[i] &gt;&gt; 32;</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; <span class="keyword">const</span> uint64_t d = digits_[i] &amp; 0xFFFFFFFF;</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; <span class="keyword">const</span> uint64_t uc = u * c;</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; <span class="keyword">const</span> uint64_t ud = u * d;</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; <span class="keyword">const</span> uint64_t p0 = ud + k;</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; <span class="keyword">const</span> uint64_t p1 = uc + (p0 &gt;&gt; 32);</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; digits_[i] = (p0 &amp; 0xFFFFFFFF) | (p1 &lt;&lt; 32);</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; k = p1 &gt;&gt; 32;</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; }</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; </div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; <span class="keywordflow">if</span> (k &gt; 0)</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; PushBack(k);</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; </div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</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; </div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; BigInteger&amp; operator&lt;&lt;=(<span class="keywordtype">size_t</span> shift) {</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160; <span class="keywordflow">if</span> (IsZero() || shift == 0) <span class="keywordflow">return</span> *<span class="keyword">this</span>;</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; <span class="keywordtype">size_t</span> offset = shift / kTypeBit;</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; <span class="keywordtype">size_t</span> interShift = shift % kTypeBit;</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160; <a class="code" href="group___r_a_p_i_d_j_s_o_n___c_o_n_f_i_g.html#gabeba18d612187bad2ac62aed9276d47c">RAPIDJSON_ASSERT</a>(count_ + offset &lt;= kCapacity);</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; </div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160; <span class="keywordflow">if</span> (interShift == 0) {</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160; std::memmove(digits_ + offset, digits_, count_ * <span class="keyword">sizeof</span>(<a class="code" href="namespacerapidjson.html#ae79a4751c1c460ff0de5ecc07874f3e4">Type</a>));</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160; count_ += offset;</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; }</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160; <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; digits_[count_] = 0;</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = count_; i &gt; 0; i--)</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160; digits_[i + offset] = (digits_[i] &lt;&lt; interShift) | (digits_[i - 1] &gt;&gt; (kTypeBit - interShift));</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; digits_[offset] = digits_[0] &lt;&lt; interShift;</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; count_ += offset;</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; <span class="keywordflow">if</span> (digits_[count_])</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; }</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; </div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; std::memset(digits_, 0, offset * <span class="keyword">sizeof</span>(<a class="code" href="namespacerapidjson.html#ae79a4751c1c460ff0de5ecc07874f3e4">Type</a>));</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; </div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</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; </div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; <span class="keywordtype">bool</span> operator==(<span class="keyword">const</span> BigInteger&amp; rhs)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; <span class="keywordflow">return</span> count_ == rhs.count_ &amp;&amp; std::memcmp(digits_, rhs.digits_, count_ * <span class="keyword">sizeof</span>(<a class="code" href="namespacerapidjson.html#ae79a4751c1c460ff0de5ecc07874f3e4">Type</a>)) == 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; </div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160; <span class="keywordtype">bool</span> operator==(<span class="keyword">const</span> <a class="code" href="namespacerapidjson.html#ae79a4751c1c460ff0de5ecc07874f3e4">Type</a> rhs)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160; <span class="keywordflow">return</span> count_ == 1 &amp;&amp; digits_[0] == rhs;</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; BigInteger&amp; MultiplyPow5(<span class="keywordtype">unsigned</span> exp) {</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> uint32_t kPow5[12] = {</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; 5,</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; 5 * 5,</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160; 5 * 5 * 5,</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160; 5 * 5 * 5 * 5,</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; 5 * 5 * 5 * 5 * 5,</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160; 5 * 5 * 5 * 5 * 5 * 5,</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160; 5 * 5 * 5 * 5 * 5 * 5 * 5,</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160; 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5,</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5,</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5,</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160; 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5,</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160; };</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160; <span class="keywordflow">if</span> (exp == 0) <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160; <span class="keywordflow">for</span> (; exp &gt;= 27; exp -= 27) *<span class="keyword">this</span> *= <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0X6765C793, 0XFA10079D); <span class="comment">// 5^27</span></div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160; <span class="keywordflow">for</span> (; exp &gt;= 13; exp -= 13) *<span class="keyword">this</span> *= static_cast&lt;uint32_t&gt;(1220703125u); <span class="comment">// 5^13</span></div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160; <span class="keywordflow">if</span> (exp &gt; 0) *<span class="keyword">this</span> *= kPow5[exp - 1];</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160; }</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">// Compute absolute difference of this and rhs.</span></div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160; <span class="comment">// Assume this != rhs</span></div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160; <span class="keywordtype">bool</span> Difference(<span class="keyword">const</span> BigInteger&amp; rhs, BigInteger* out)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160; <span class="keywordtype">int</span> cmp = Compare(rhs);</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160; <a class="code" href="group___r_a_p_i_d_j_s_o_n___c_o_n_f_i_g.html#gabeba18d612187bad2ac62aed9276d47c">RAPIDJSON_ASSERT</a>(cmp != 0);</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160; <span class="keyword">const</span> BigInteger *a, *b; <span class="comment">// Makes a &gt; b</span></div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160; <span class="keywordtype">bool</span> ret;</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160; <span class="keywordflow">if</span> (cmp &lt; 0) { a = &amp;rhs; b = <span class="keyword">this</span>; ret = <span class="keyword">true</span>; }</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160; <span class="keywordflow">else</span> { a = <span class="keyword">this</span>; b = &amp;rhs; ret = <span class="keyword">false</span>; }</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; <a class="code" href="namespacerapidjson.html#ae79a4751c1c460ff0de5ecc07874f3e4">Type</a> borrow = 0;</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; a-&gt;count_; i++) {</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160; <a class="code" href="namespacerapidjson.html#ae79a4751c1c460ff0de5ecc07874f3e4">Type</a> d = a-&gt;digits_[i] - borrow;</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160; <span class="keywordflow">if</span> (i &lt; b-&gt;count_)</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160; d -= b-&gt;digits_[i];</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160; borrow = (d &gt; a-&gt;digits_[i]) ? 1 : 0;</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160; out-&gt;digits_[i] = d;</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160; <span class="keywordflow">if</span> (d != 0)</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160; out-&gt;count_ = i + 1;</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160; }</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160; </div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160; <span class="keywordflow">return</span> ret;</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; </div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160; <span class="keywordtype">int</span> Compare(<span class="keyword">const</span> BigInteger&amp; rhs)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160; <span class="keywordflow">if</span> (count_ != rhs.count_)</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160; <span class="keywordflow">return</span> count_ &lt; rhs.count_ ? -1 : 1;</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160; </div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = count_; i-- &gt; 0;)</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160; <span class="keywordflow">if</span> (digits_[i] != rhs.digits_[i])</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160; <span class="keywordflow">return</span> digits_[i] &lt; rhs.digits_[i] ? -1 : 1;</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160; </div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160; <span class="keywordflow">return</span> 0;</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="keywordtype">size_t</span> GetCount()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> count_; }</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160; <a class="code" href="namespacerapidjson.html#ae79a4751c1c460ff0de5ecc07874f3e4">Type</a> GetDigit(<span class="keywordtype">size_t</span> index)<span class="keyword"> const </span>{ <a class="code" href="group___r_a_p_i_d_j_s_o_n___c_o_n_f_i_g.html#gabeba18d612187bad2ac62aed9276d47c">RAPIDJSON_ASSERT</a>(index &lt; count_); <span class="keywordflow">return</span> digits_[index]; }</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160; <span class="keywordtype">bool</span> IsZero()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> count_ == 1 &amp;&amp; digits_[0] == 0; }</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="keyword">private</span>:</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160; <span class="keywordtype">void</span> AppendDecimal64(<span class="keyword">const</span> <span class="keywordtype">char</span>* begin, <span class="keyword">const</span> <span class="keywordtype">char</span>* end) {</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160; uint64_t u = ParseUint64(begin, end);</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160; <span class="keywordflow">if</span> (IsZero())</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160; *<span class="keyword">this</span> = u;</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160; <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160; <span class="keywordtype">unsigned</span> exp = static_cast&lt;unsigned&gt;(end - begin);</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160; (MultiplyPow5(exp) &lt;&lt;= exp) += u; <span class="comment">// *this = *this * 10^exp + u</span></div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; }</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160; }</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; </div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160; <span class="keywordtype">void</span> PushBack(<a class="code" href="namespacerapidjson.html#ae79a4751c1c460ff0de5ecc07874f3e4">Type</a> digit) {</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160; <a class="code" href="group___r_a_p_i_d_j_s_o_n___c_o_n_f_i_g.html#gabeba18d612187bad2ac62aed9276d47c">RAPIDJSON_ASSERT</a>(count_ &lt; kCapacity);</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160; digits_[count_++] = digit;</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160; }</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160; </div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160; <span class="keyword">static</span> uint64_t ParseUint64(<span class="keyword">const</span> <span class="keywordtype">char</span>* begin, <span class="keyword">const</span> <span class="keywordtype">char</span>* end) {</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160; uint64_t r = 0;</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">char</span>* p = begin; p != end; ++p) {</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160; <a class="code" href="group___r_a_p_i_d_j_s_o_n___c_o_n_f_i_g.html#gabeba18d612187bad2ac62aed9276d47c">RAPIDJSON_ASSERT</a>(*p &gt;= <span class="charliteral">&#39;0&#39;</span> &amp;&amp; *p &lt;= <span class="charliteral">&#39;9&#39;</span>);</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160; r = r * 10u + static_cast&lt;unsigned&gt;(*p - <span class="charliteral">&#39;0&#39;</span>);</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; <span class="keywordflow">return</span> r;</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="l00248"></a><span class="lineno"> 248</span>&#160; <span class="comment">// Assume a * b + k &lt; 2^128</span></div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160; <span class="keyword">static</span> uint64_t MulAdd64(uint64_t a, uint64_t b, uint64_t k, uint64_t* outHigh) {</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160;<span class="preprocessor">#if defined(_MSC_VER) &amp;&amp; defined(_M_AMD64)</span></div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160; uint64_t low = _umul128(a, b, outHigh) + k;</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>&#160; <span class="keywordflow">if</span> (low &lt; k)</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160; (*outHigh)++;</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160; <span class="keywordflow">return</span> low;</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160;<span class="preprocessor">#elif (__GNUC__ &gt; 4 || (__GNUC__ == 4 &amp;&amp; __GNUC_MINOR__ &gt;= 6)) &amp;&amp; defined(__x86_64__)</span></div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160; __extension__ <span class="keyword">typedef</span> <span class="keywordtype">unsigned</span> __int128 uint128;</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160; uint128 p = static_cast&lt;uint128&gt;(a) * static_cast&lt;uint128&gt;(b);</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160; p += k;</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160; *outHigh = static_cast&lt;uint64_t&gt;(p &gt;&gt; 64);</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160; <span class="keywordflow">return</span> static_cast&lt;uint64_t&gt;(p);</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160; <span class="keyword">const</span> uint64_t a0 = a &amp; 0xFFFFFFFF, a1 = a &gt;&gt; 32, b0 = b &amp; 0xFFFFFFFF, b1 = b &gt;&gt; 32;</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160; uint64_t x0 = a0 * b0, x1 = a0 * b1, x2 = a1 * b0, x3 = a1 * b1;</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160; x1 += (x0 &gt;&gt; 32); <span class="comment">// can&#39;t give carry</span></div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160; x1 += x2;</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160; <span class="keywordflow">if</span> (x1 &lt; x2)</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160; x3 += (static_cast&lt;uint64_t&gt;(1) &lt;&lt; 32);</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160; uint64_t lo = (x1 &lt;&lt; 32) + (x0 &amp; 0xFFFFFFFF);</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160; uint64_t hi = x3 + (x1 &gt;&gt; 32);</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160; </div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160; lo += k;</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160; <span class="keywordflow">if</span> (lo &lt; k)</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160; hi++;</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160; *outHigh = hi;</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160; <span class="keywordflow">return</span> lo;</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>&#160; }</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>&#160; </div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> kBitCount = 3328; <span class="comment">// 64bit * 54 &gt; 10^1000</span></div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> kCapacity = kBitCount / <span class="keyword">sizeof</span>(<a class="code" href="namespacerapidjson.html#ae79a4751c1c460ff0de5ecc07874f3e4">Type</a>);</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> kTypeBit = <span class="keyword">sizeof</span>(<a class="code" href="namespacerapidjson.html#ae79a4751c1c460ff0de5ecc07874f3e4">Type</a>) * 8;</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>&#160; </div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160; <a class="code" href="namespacerapidjson.html#ae79a4751c1c460ff0de5ecc07874f3e4">Type</a> digits_[kCapacity];</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160; <span class="keywordtype">size_t</span> count_;</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">// namespace internal</span></div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>&#160;RAPIDJSON_NAMESPACE_END</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;<span class="preprocessor">#endif // RAPIDJSON_BIGINTEGER_H_</span></div>
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<div class="ttc" id="anamespacerapidjson_html_ae79a4751c1c460ff0de5ecc07874f3e4"><div class="ttname"><a href="namespacerapidjson.html#ae79a4751c1c460ff0de5ecc07874f3e4">rapidjson::Type</a></div><div class="ttdeci">Type</div><div class="ttdoc">Type of JSON value.</div><div class="ttdef"><b>Definition:</b> rapidjson.h:729</div></div>
<div class="ttc" id="agroup___r_a_p_i_d_j_s_o_n___c_o_n_f_i_g_html_gabeba18d612187bad2ac62aed9276d47c"><div class="ttname"><a href="group___r_a_p_i_d_j_s_o_n___c_o_n_f_i_g.html#gabeba18d612187bad2ac62aed9276d47c">RAPIDJSON_ASSERT</a></div><div class="ttdeci">#define RAPIDJSON_ASSERT(x)</div><div class="ttdoc">Assertion.</div><div class="ttdef"><b>Definition:</b> rapidjson.h:437</div></div>
<div class="ttc" id="arapidjson_8h_html_aaee1245f375a71be1ac9b8a07ba5fb8f"><div class="ttname"><a href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a></div><div class="ttdeci">#define RAPIDJSON_UINT64_C2(high32, low32)</div><div class="ttdoc">Construct a 64-bit literal by a pair of 32-bit integer.</div><div class="ttdef"><b>Definition:</b> rapidjson.h:320</div></div>
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