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<div class="title">diyfp.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="comment">// This is a C++ header-only implementation of Grisu2 algorithm from the publication:</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="comment">// Loitsch, Florian. &quot;Printing floating-point numbers quickly and accurately with</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="comment">// integers.&quot; ACM Sigplan Notices 45.6 (2010): 233-243.</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160; </div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="preprocessor">#ifndef RAPIDJSON_DIYFP_H_</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="preprocessor">#define RAPIDJSON_DIYFP_H_</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160; </div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="preprocessor">#include &quot;../rapidjson.h&quot;</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="preprocessor">#include &quot;clzll.h&quot;</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160; </div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="preprocessor">#if defined(_MSC_VER) &amp;&amp; defined(_M_AMD64) &amp;&amp; !defined(__INTEL_COMPILER)</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="preprocessor">#include &lt;intrin.h&gt;</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#pragma intrinsic(_umul128)</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;<span class="preprocessor">#endif</span></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;RAPIDJSON_NAMESPACE_BEGIN</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160;<span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; </div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160;<span class="preprocessor">#ifdef __GNUC__</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160;RAPIDJSON_DIAG_PUSH</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160;RAPIDJSON_DIAG_OFF(effc++)</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160;<span class="preprocessor">#endif</span></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;<span class="preprocessor">#ifdef __clang__</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;RAPIDJSON_DIAG_PUSH</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;RAPIDJSON_DIAG_OFF(padded)</div>
<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; </div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160;<span class="keyword">struct </span>DiyFp {</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; DiyFp() : f(), e() {}</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; </div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; DiyFp(uint64_t fp, <span class="keywordtype">int</span> exp) : f(fp), e(exp) {}</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; <span class="keyword">explicit</span> DiyFp(<span class="keywordtype">double</span> d) {</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; <span class="keyword">union </span>{</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; <span class="keywordtype">double</span> d;</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; uint64_t u64;</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; } u = { d };</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="keywordtype">int</span> biased_e = static_cast&lt;int&gt;((u.u64 &amp; kDpExponentMask) &gt;&gt; kDpSignificandSize);</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; uint64_t significand = (u.u64 &amp; kDpSignificandMask);</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; <span class="keywordflow">if</span> (biased_e != 0) {</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; f = significand + kDpHiddenBit;</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; e = biased_e - kDpExponentBias;</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">else</span> {</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; f = significand;</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; e = kDpMinExponent + 1;</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; }</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; </div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; DiyFp operator-(<span class="keyword">const</span> DiyFp&amp; rhs)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="keywordflow">return</span> DiyFp(f - rhs.f, e);</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>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; DiyFp operator*(<span class="keyword">const</span> DiyFp&amp; rhs)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160;<span class="preprocessor">#if defined(_MSC_VER) &amp;&amp; defined(_M_AMD64)</span></div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; uint64_t h;</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; uint64_t l = _umul128(f, rhs.f, &amp;h);</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; <span class="keywordflow">if</span> (l &amp; (uint64_t(1) &lt;&lt; 63)) <span class="comment">// rounding</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; h++;</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; <span class="keywordflow">return</span> DiyFp(h, e + rhs.e + 64);</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</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="l00079"></a><span class="lineno"> 79</span>&#160; __extension__ <span class="keyword">typedef</span> <span class="keywordtype">unsigned</span> __int128 uint128;</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; uint128 p = static_cast&lt;uint128&gt;(f) * static_cast&lt;uint128&gt;(rhs.f);</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; uint64_t h = static_cast&lt;uint64_t&gt;(p &gt;&gt; 64);</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; uint64_t l = static_cast&lt;uint64_t&gt;(p);</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; <span class="keywordflow">if</span> (l &amp; (uint64_t(1) &lt;&lt; 63)) <span class="comment">// rounding</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; h++;</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <span class="keywordflow">return</span> DiyFp(h, e + rhs.e + 64);</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; <span class="keyword">const</span> uint64_t M32 = 0xFFFFFFFF;</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; <span class="keyword">const</span> uint64_t a = f &gt;&gt; 32;</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; <span class="keyword">const</span> uint64_t b = f &amp; M32;</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; <span class="keyword">const</span> uint64_t c = rhs.f &gt;&gt; 32;</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; <span class="keyword">const</span> uint64_t d = rhs.f &amp; M32;</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; <span class="keyword">const</span> uint64_t ac = a * c;</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; <span class="keyword">const</span> uint64_t bc = b * c;</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; <span class="keyword">const</span> uint64_t ad = a * d;</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; <span class="keyword">const</span> uint64_t bd = b * d;</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; uint64_t tmp = (bd &gt;&gt; 32) + (ad &amp; M32) + (bc &amp; M32);</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; tmp += 1U &lt;&lt; 31; <span class="comment">/// mult_round</span></div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160;<span class="comment"></span> <span class="keywordflow">return</span> DiyFp(ac + (ad &gt;&gt; 32) + (bc &gt;&gt; 32) + (tmp &gt;&gt; 32), e + rhs.e + 64);</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160;<span class="preprocessor">#endif</span></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; </div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; DiyFp Normalize()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; <span class="keywordtype">int</span> s = static_cast&lt;int&gt;(clzll(f));</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; <span class="keywordflow">return</span> DiyFp(f &lt;&lt; s, e - s);</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; }</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; DiyFp NormalizeBoundary()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; DiyFp res = *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; <span class="keywordflow">while</span> (!(res.f &amp; (kDpHiddenBit &lt;&lt; 1))) {</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; res.f &lt;&lt;= 1;</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; res.e--;</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; res.f &lt;&lt;= (kDiySignificandSize - kDpSignificandSize - 2);</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; res.e = res.e - (kDiySignificandSize - kDpSignificandSize - 2);</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; }</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; </div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; <span class="keywordtype">void</span> NormalizedBoundaries(DiyFp* minus, DiyFp* plus)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; DiyFp pl = DiyFp((f &lt;&lt; 1) + 1, e - 1).NormalizeBoundary();</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; DiyFp mi = (f == kDpHiddenBit) ? DiyFp((f &lt;&lt; 2) - 1, e - 2) : DiyFp((f &lt;&lt; 1) - 1, e - 1);</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; mi.f &lt;&lt;= mi.e - pl.e;</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; mi.e = pl.e;</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; *plus = pl;</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; *minus = mi;</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; </div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160; <span class="keywordtype">double</span> ToDouble()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; <span class="keyword">union </span>{</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160; <span class="keywordtype">double</span> d;</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160; uint64_t u64;</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; }u;</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</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>(f &lt;= kDpHiddenBit + kDpSignificandMask);</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160; <span class="keywordflow">if</span> (e &lt; kDpDenormalExponent) {</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; <span class="comment">// Underflow.</span></div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160; <span class="keywordflow">return</span> 0.0;</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="keywordflow">if</span> (e &gt;= kDpMaxExponent) {</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; <span class="comment">// Overflow.</span></div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160; <span class="keywordflow">return</span> std::numeric_limits&lt;double&gt;::infinity();</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="keyword">const</span> uint64_t be = (e == kDpDenormalExponent &amp;&amp; (f &amp; kDpHiddenBit) == 0) ? 0 :</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160; static_cast&lt;uint64_t&gt;(e + kDpExponentBias);</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; u.u64 = (f &amp; kDpSignificandMask) | (be &lt;&lt; kDpSignificandSize);</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; <span class="keywordflow">return</span> u.d;</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; }</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; </div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">int</span> kDiySignificandSize = 64;</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">int</span> kDpSignificandSize = 52;</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">int</span> kDpExponentBias = 0x3FF + kDpSignificandSize;</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">int</span> kDpMaxExponent = 0x7FF - kDpExponentBias;</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">int</span> kDpMinExponent = -kDpExponentBias;</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">int</span> kDpDenormalExponent = -kDpExponentBias + 1;</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> uint64_t kDpExponentMask = <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x7FF00000, 0x00000000);</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> uint64_t kDpSignificandMask = <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x000FFFFF, 0xFFFFFFFF);</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> uint64_t kDpHiddenBit = <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x00100000, 0x00000000);</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; uint64_t f;</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160; <span class="keywordtype">int</span> e;</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;<span class="keyword">inline</span> DiyFp GetCachedPowerByIndex(<span class="keywordtype">size_t</span> index) {</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; <span class="comment">// 10^-348, 10^-340, ..., 10^340</span></div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> uint64_t kCachedPowers_F[] = {</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xfa8fd5a0, 0x081c0288), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xbaaee17f, 0xa23ebf76),</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x8b16fb20, 0x3055ac76), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xcf42894a, 0x5dce35ea),</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x9a6bb0aa, 0x55653b2d), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xe61acf03, 0x3d1a45df),</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xab70fe17, 0xc79ac6ca), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xff77b1fc, 0xbebcdc4f),</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xbe5691ef, 0x416bd60c), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x8dd01fad, 0x907ffc3c),</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xd3515c28, 0x31559a83), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x9d71ac8f, 0xada6c9b5),</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xea9c2277, 0x23ee8bcb), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xaecc4991, 0x4078536d),</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x823c1279, 0x5db6ce57), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xc2109436, 0x4dfb5637),</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x9096ea6f, 0x3848984f), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xd77485cb, 0x25823ac7),</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xa086cfcd, 0x97bf97f4), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xef340a98, 0x172aace5),</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xb23867fb, 0x2a35b28e), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x84c8d4df, 0xd2c63f3b),</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xc5dd4427, 0x1ad3cdba), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x936b9fce, 0xbb25c996),</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xdbac6c24, 0x7d62a584), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xa3ab6658, 0x0d5fdaf6),</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xf3e2f893, 0xdec3f126), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xb5b5ada8, 0xaaff80b8),</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x87625f05, 0x6c7c4a8b), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xc9bcff60, 0x34c13053),</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x964e858c, 0x91ba2655), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xdff97724, 0x70297ebd),</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xa6dfbd9f, 0xb8e5b88f), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xf8a95fcf, 0x88747d94),</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xb9447093, 0x8fa89bcf), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x8a08f0f8, 0xbf0f156b),</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xcdb02555, 0x653131b6), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x993fe2c6, 0xd07b7fac),</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xe45c10c4, 0x2a2b3b06), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xaa242499, 0x697392d3),</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xfd87b5f2, 0x8300ca0e), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xbce50864, 0x92111aeb),</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x8cbccc09, 0x6f5088cc), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xd1b71758, 0xe219652c),</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x9c400000, 0x00000000), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xe8d4a510, 0x00000000),</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xad78ebc5, 0xac620000), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x813f3978, 0xf8940984),</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xc097ce7b, 0xc90715b3), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x8f7e32ce, 0x7bea5c70),</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xd5d238a4, 0xabe98068), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x9f4f2726, 0x179a2245),</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xed63a231, 0xd4c4fb27), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xb0de6538, 0x8cc8ada8),</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x83c7088e, 0x1aab65db), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xc45d1df9, 0x42711d9a),</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x924d692c, 0xa61be758), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xda01ee64, 0x1a708dea),</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xa26da399, 0x9aef774a), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xf209787b, 0xb47d6b85),</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xb454e4a1, 0x79dd1877), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x865b8692, 0x5b9bc5c2),</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xc83553c5, 0xc8965d3d), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x952ab45c, 0xfa97a0b3),</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xde469fbd, 0x99a05fe3), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xa59bc234, 0xdb398c25),</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xf6c69a72, 0xa3989f5c), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xb7dcbf53, 0x54e9bece),</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x88fcf317, 0xf22241e2), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xcc20ce9b, 0xd35c78a5),</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x98165af3, 0x7b2153df), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xe2a0b5dc, 0x971f303a),</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xa8d9d153, 0x5ce3b396), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xfb9b7cd9, 0xa4a7443c),</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xbb764c4c, 0xa7a44410), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x8bab8eef, 0xb6409c1a),</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xd01fef10, 0xa657842c), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x9b10a4e5, 0xe9913129),</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xe7109bfb, 0xa19c0c9d), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xac2820d9, 0x623bf429),</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x80444b5e, 0x7aa7cf85), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xbf21e440, 0x03acdd2d),</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x8e679c2f, 0x5e44ff8f), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xd433179d, 0x9c8cb841),</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0x9e19db92, 0xb4e31ba9), <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xeb96bf6e, 0xbadf77d9),</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160; <a class="code" href="rapidjson_8h.html#aaee1245f375a71be1ac9b8a07ba5fb8f">RAPIDJSON_UINT64_C2</a>(0xaf87023b, 0x9bf0ee6b)</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="keyword">static</span> <span class="keyword">const</span> int16_t kCachedPowers_E[] = {</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160; -1220, -1193, -1166, -1140, -1113, -1087, -1060, -1034, -1007, -980,</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160; -954, -927, -901, -874, -847, -821, -794, -768, -741, -715,</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160; -688, -661, -635, -608, -582, -555, -529, -502, -475, -449,</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160; -422, -396, -369, -343, -316, -289, -263, -236, -210, -183,</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160; -157, -130, -103, -77, -50, -24, 3, 30, 56, 83,</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160; 109, 136, 162, 189, 216, 242, 269, 295, 322, 348,</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160; 375, 402, 428, 455, 481, 508, 534, 561, 588, 614,</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160; 641, 667, 694, 720, 747, 774, 800, 827, 853, 880,</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160; 907, 933, 960, 986, 1013, 1039, 1066</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160; };</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</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>(index &lt; 87);</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160; <span class="keywordflow">return</span> DiyFp(kCachedPowers_F[index], kCachedPowers_E[index]);</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; </div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160;<span class="keyword">inline</span> DiyFp GetCachedPower(<span class="keywordtype">int</span> e, <span class="keywordtype">int</span>* K) {</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="comment">//int k = static_cast&lt;int&gt;(ceil((-61 - e) * 0.30102999566398114)) + 374;</span></div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160; <span class="keywordtype">double</span> dk = (-61 - e) * 0.30102999566398114 + 347; <span class="comment">// dk must be positive, so can do ceiling in positive</span></div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160; <span class="keywordtype">int</span> k = static_cast&lt;int&gt;(dk);</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160; <span class="keywordflow">if</span> (dk - k &gt; 0.0)</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160; k++;</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; <span class="keywordtype">unsigned</span> index = static_cast&lt;unsigned&gt;((k &gt;&gt; 3) + 1);</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; *K = -(-348 + static_cast&lt;int&gt;(index &lt;&lt; 3)); <span class="comment">// decimal exponent no need lookup table</span></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">return</span> GetCachedPowerByIndex(index);</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160;}</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;<span class="keyword">inline</span> DiyFp GetCachedPower10(<span class="keywordtype">int</span> exp, <span class="keywordtype">int</span> *outExp) {</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</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>(exp &gt;= -348);</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160; <span class="keywordtype">unsigned</span> index = static_cast&lt;unsigned&gt;(exp + 348) / 8u;</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160; *outExp = -348 + static_cast&lt;int&gt;(index) * 8;</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160; <span class="keywordflow">return</span> GetCachedPowerByIndex(index);</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="l00245"></a><span class="lineno"> 245</span>&#160;<span class="preprocessor">#ifdef __GNUC__</span></div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160;RAPIDJSON_DIAG_POP</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>&#160; </div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160;<span class="preprocessor">#ifdef __clang__</span></div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160;RAPIDJSON_DIAG_POP</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160;RAPIDJSON_DIAG_OFF(padded)</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>&#160;<span class="preprocessor">#endif</span></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="comment">// namespace internal</span></div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160;RAPIDJSON_NAMESPACE_END</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160; </div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160;<span class="preprocessor">#endif // RAPIDJSON_DIYFP_H_</span></div>
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<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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