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<li class="navelem"><a class="el" href="dir_90ffdbabf412cfdffe6b2193e0ce938a.html">libxrpl</a></li><li class="navelem"><a class="el" href="dir_c9ad8b908996c4ad90b9a0cfb3c90cd8.html">basics</a></li> </ul>
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<div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="preprocessor">#include &lt;xrpl/basics/Number.h&gt;</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment">// Keep Number.h first to ensure it can build without hidden dependencies</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="preprocessor">#include &lt;xrpl/basics/contract.h&gt;</span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="preprocessor">#include &lt;xrpl/beast/utility/instrumentation.h&gt;</span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span> </div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="preprocessor">#include &lt;<a class="codeRef" href="http://en.cppreference.com/w/cpp/header/algorithm.html">algorithm</a>&gt;</span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="preprocessor">#include &lt;<a class="codeRef" href="http://en.cppreference.com/w/cpp/header/cstddef.html">cstddef</a>&gt;</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="preprocessor">#include &lt;<a class="codeRef" href="http://en.cppreference.com/w/cpp/header/cstdint.html">cstdint</a>&gt;</span></div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="preprocessor">#include &lt;<a class="codeRef" href="http://en.cppreference.com/w/cpp/header/iterator.html">iterator</a>&gt;</span></div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="preprocessor">#include &lt;<a class="codeRef" href="http://en.cppreference.com/w/cpp/header/limits.html">limits</a>&gt;</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="preprocessor">#include &lt;<a class="codeRef" href="http://en.cppreference.com/w/cpp/header/numeric.html">numeric</a>&gt;</span></div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="preprocessor">#include &lt;<a class="codeRef" href="http://en.cppreference.com/w/cpp/header/stdexcept.html">stdexcept</a>&gt;</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="preprocessor">#include &lt;<a class="codeRef" href="http://en.cppreference.com/w/cpp/header/string.html">string</a>&gt;</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#include &lt;<a class="codeRef" href="http://en.cppreference.com/w/cpp/header/type_traits.html">type_traits</a>&gt;</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#include &lt;<a class="codeRef" href="http://en.cppreference.com/w/cpp/header/utility.html">utility</a>&gt;</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> </div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#ifdef _MSC_VER</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#pragma message(&quot;Using boost::multiprecision::uint128_t and int128_t&quot;)</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include &lt;boost/multiprecision/cpp_int.hpp&gt;</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="keyword">using </span>uint128_t = boost::multiprecision::uint128_t;</div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="keyword">using </span>int128_t = boost::multiprecision::int128_t;</div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#else </span><span class="comment">// !defined(_MSC_VER)</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="keyword">using </span>uint128_t = __uint128_t;</div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="keyword">using </span>int128_t = __int128_t;</div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#endif </span><span class="comment">// !defined(_MSC_VER)</span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> </div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespacexrpl.html">xrpl</a> {</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> </div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="keyword">thread_local</span> <a class="code hl_enumeration" href="classxrpl_1_1Number.html#a40e08f75077897215c66d102b5b75f95">Number::rounding_mode</a> <a class="code hl_variable" href="classxrpl_1_1Number.html#a73b1712a4714d18b02c0b9158a3ac201">Number::mode_</a> = <a class="code hl_enumvalue" href="classxrpl_1_1Number.html#a40e08f75077897215c66d102b5b75f95aa1683b7e2939668142366896b111931a">Number::to_nearest</a>;</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="keyword">thread_local</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/utility/functional/reference_wrapper.html">std::reference_wrapper&lt;MantissaRange const&gt;</a> <a class="code hl_variable" href="classxrpl_1_1Number.html#ab2381c12707d6e7e9a7704b4733ae3af">Number::range_</a> = largeRange;</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> </div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><a class="code hl_enumeration" href="classxrpl_1_1Number.html#a40e08f75077897215c66d102b5b75f95">Number::rounding_mode</a></div>
<div class="foldopen" id="foldopen00033" data-start="{" data-end="}">
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number.html#a0c71d26d6de400ed12cf3923157aca31"> 33</a></span><a class="code hl_function" href="classxrpl_1_1Number.html#a0c71d26d6de400ed12cf3923157aca31">Number::getround</a>()</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span>{</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="classxrpl_1_1Number.html#a73b1712a4714d18b02c0b9158a3ac201">mode_</a>;</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span>}</div>
</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> </div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span><a class="code hl_enumeration" href="classxrpl_1_1Number.html#a40e08f75077897215c66d102b5b75f95">Number::rounding_mode</a></div>
<div class="foldopen" id="foldopen00039" data-start="{" data-end="}">
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number.html#a274b459d7478df80795caed8a56d4f00"> 39</a></span><a class="code hl_function" href="classxrpl_1_1Number.html#a274b459d7478df80795caed8a56d4f00">Number::setround</a>(<a class="code hl_enumeration" href="classxrpl_1_1Number.html#a40e08f75077897215c66d102b5b75f95">rounding_mode</a> mode)</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span>{</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordflow">return</span> <a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/utility/exchange.html">std::exchange</a>(<a class="code hl_variable" href="classxrpl_1_1Number.html#a73b1712a4714d18b02c0b9158a3ac201">mode_</a>, mode);</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span>}</div>
</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> </div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span><a class="code hl_enumeration" href="structxrpl_1_1MantissaRange.html#a20f7a2bea468b1da813e45c7881e29f2">MantissaRange::mantissa_scale</a></div>
<div class="foldopen" id="foldopen00045" data-start="{" data-end="}">
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number.html#ac138187ff4d421f4158228642551756c"> 45</a></span><a class="code hl_function" href="classxrpl_1_1Number.html#ac138187ff4d421f4158228642551756c">Number::getMantissaScale</a>()</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span>{</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="classxrpl_1_1Number.html#ab2381c12707d6e7e9a7704b4733ae3af">range_</a>.get().scale;</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span>}</div>
</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> </div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span><span class="keywordtype">void</span></div>
<div class="foldopen" id="foldopen00051" data-start="{" data-end="}">
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number.html#a89a1e2cc1d2d69c86bbb03340284a6b7"> 51</a></span><a class="code hl_function" href="classxrpl_1_1Number.html#a89a1e2cc1d2d69c86bbb03340284a6b7">Number::setMantissaScale</a>(<a class="code hl_enumeration" href="structxrpl_1_1MantissaRange.html#a20f7a2bea468b1da813e45c7881e29f2">MantissaRange::mantissa_scale</a> scale)</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span>{</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="keywordflow">if</span> (scale != <a class="code hl_enumvalue" href="structxrpl_1_1MantissaRange.html#a20f7a2bea468b1da813e45c7881e29f2a159d6fc6b77bffdac828a75a473aea42">MantissaRange::small</a> &amp;&amp; scale != <a class="code hl_enumvalue" href="structxrpl_1_1MantissaRange.html#a20f7a2bea468b1da813e45c7881e29f2a0b64e613fbbea29706141a2e1a08ffa5">MantissaRange::large</a>)</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <a class="code hl_function" href="namespacexrpl.html#a16550239e117c441e0e17bd1c67beeba">LogicError</a>(<span class="stringliteral">&quot;Unknown mantissa scale&quot;</span>);</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <a class="code hl_variable" href="classxrpl_1_1Number.html#ab2381c12707d6e7e9a7704b4733ae3af">range_</a> = scale == <a class="code hl_enumvalue" href="structxrpl_1_1MantissaRange.html#a20f7a2bea468b1da813e45c7881e29f2a159d6fc6b77bffdac828a75a473aea42">MantissaRange::small</a> ? <a class="code hl_variable" href="classxrpl_1_1Number.html#a484ed599d53a6c6f57cd6b6163dca4d6">smallRange</a> : <a class="code hl_variable" href="classxrpl_1_1Number.html#ace04e61c20eedabf3ead4454049d9126">largeRange</a>;</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span>}</div>
</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> </div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span><span class="comment">// Guard</span></div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> </div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span><span class="comment">// The Guard class is used to temporarily add extra digits of</span></div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span><span class="comment">// precision to an operation. This enables the final result</span></div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span><span class="comment">// to be correctly rounded to the internal precision of Number.</span></div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> </div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span><span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"><a class="line" href="conceptxrpl_1_1UnsignedMantissa.html"> 65</a></span><span class="keyword">concept </span><a class="code hl_concept" href="conceptxrpl_1_1UnsignedMantissa.html">UnsignedMantissa</a> = <a class="code hl_variableRef" href="http://en.cppreference.com/w/cpp/types/is_same.html">std::is_unsigned_v&lt;T&gt;</a> || <a class="code hl_variableRef" href="http://en.cppreference.com/w/cpp/types/is_same.html">std::is_same_v&lt;T, uint128_t&gt;</a>;</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> </div>
<div class="foldopen" id="foldopen00067" data-start="{" data-end="};">
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number_1_1Guard.html"> 67</a></span><span class="keyword">class </span><a class="code hl_class" href="classxrpl_1_1Number_1_1Guard.html">Number::Guard</a></div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span>{</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number_1_1Guard.html#af2fda4b03dd23b878f01f16425cb6c7e"> 69</a></span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint64_t</a> <a class="code hl_variable" href="classxrpl_1_1Number_1_1Guard.html#af2fda4b03dd23b878f01f16425cb6c7e">digits_</a>; <span class="comment">// 16 decimal guard digits</span></div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number_1_1Guard.html#a9671112916b037a39959d72ed3ea8612"> 70</a></span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint8_t</a> <a class="code hl_variable" href="classxrpl_1_1Number_1_1Guard.html#a9671112916b037a39959d72ed3ea8612">xbit_</a> : 1; <span class="comment">// has a non-zero digit been shifted off the end</span></div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number_1_1Guard.html#ac5ce476230510eae348dd28258f83322"> 71</a></span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint8_t</a> <a class="code hl_variable" href="classxrpl_1_1Number_1_1Guard.html#ac5ce476230510eae348dd28258f83322">sbit_</a> : 1; <span class="comment">// the sign of the guard digits</span></div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> </div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span><span class="keyword">public</span>:</div>
<div class="foldopen" id="foldopen00074" data-start="{" data-end="}">
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number_1_1Guard.html#ac3545d65922e16f7cd18897679a0466f"> 74</a></span> <span class="keyword">explicit</span> <a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#ac3545d65922e16f7cd18897679a0466f">Guard</a>() : <a class="code hl_variable" href="classxrpl_1_1Number_1_1Guard.html#af2fda4b03dd23b878f01f16425cb6c7e">digits_</a>{0}, <a class="code hl_variable" href="classxrpl_1_1Number_1_1Guard.html#a9671112916b037a39959d72ed3ea8612">xbit_</a>{0}, <a class="code hl_variable" href="classxrpl_1_1Number_1_1Guard.html#ac5ce476230510eae348dd28258f83322">sbit_</a>{0}</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> {</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> }</div>
</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> </div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="comment">// set &amp; test the sign bit</span></div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <span class="keywordtype">void</span></div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a11e2fc9dcf9120daa2ff1976ffd83278">set_positive</a>() noexcept;</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="keywordtype">void</span></div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a81424a2e84074c3ecd4cb454f359c3ee">set_negative</a>() noexcept;</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keywordtype">bool</span></div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a56a81d86e08ba5f15554710ee6558f5d">is_negative</a>() const noexcept;</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> </div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="comment">// add a digit</span></div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> template &lt;class T&gt;</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="keywordtype">void</span></div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#aeeb29d02bbadd5bf87e04a4d1d203363">push</a>(T d) noexcept;</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> </div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="comment">// recover a digit</span></div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="keywordtype">unsigned</span></div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a1977d28778524257f10ce34f95858840">pop</a>() noexcept;</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> </div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="comment">// Indicate round direction: 1 is up, -1 is down, 0 is even</span></div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="comment">// This enables the client to round towards nearest, and on</span></div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="comment">// tie, round towards even.</span></div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="keywordtype">int</span></div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a0ebc09f6e6241ba83bec8d3268d50c31">round</a>() noexcept;</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> </div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="comment">// Modify the result to the correctly rounded value</span></div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> template &lt;<a class="code hl_concept" href="conceptxrpl_1_1UnsignedMantissa.html">UnsignedMantissa</a> T&gt;</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="keywordtype">void</span></div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a1c936cf21ec79609449a3868ca013c7f">doRoundUp</a>(</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="keywordtype">bool</span>&amp; negative,</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> T&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a>,</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="keywordtype">int</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a>,</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">internalrep</a> const&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a>,</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">internalrep</a> const&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a992a7b726b84f3e57bdba64acc107ba9">maxMantissa</a>,</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <a class="code hl_namespace" href="namespacestd.html">std</a>::<span class="keywordtype">string</span> location);</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> </div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="comment">// Modify the result to the correctly rounded value</span></div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> template &lt;<a class="code hl_concept" href="conceptxrpl_1_1UnsignedMantissa.html">UnsignedMantissa</a> T&gt;</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="keywordtype">void</span></div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a587e49e00e7b5b36cb51a6b8df743c59">doRoundDown</a>(<span class="keywordtype">bool</span>&amp; negative, T&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a>, <span class="keywordtype">int</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a>, <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">internalrep</a> const&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a>);</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> </div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="comment">// Modify the result to the correctly rounded value</span></div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="keywordtype">void</span></div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a55bc76505e3a34a0d50baa1c7eeae19c">doRound</a>(<a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">rep</a>&amp; drops, <a class="code hl_namespace" href="namespacestd.html">std</a>::<span class="keywordtype">string</span> location);</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> </div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span>private:</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="keywordtype">void</span></div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a7e98b203dc4370e448d1398ecdf05745">doPush</a>(<span class="keywordtype">unsigned</span> d) noexcept;</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> </div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> template &lt;<a class="code hl_concept" href="conceptxrpl_1_1UnsignedMantissa.html">UnsignedMantissa</a> T&gt;</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="keywordtype">void</span></div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a491b4ea2971fe0221fa0e61179154c6b">bringIntoRange</a>(<span class="keywordtype">bool</span>&amp; negative, T&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a>, <span class="keywordtype">int</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a>, <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">internalrep</a> const&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a>);</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span>};</div>
</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> </div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span>inline <span class="keywordtype">void</span></div>
<div class="foldopen" id="foldopen00131" data-start="{" data-end="}">
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number_1_1Guard.html#a11e2fc9dcf9120daa2ff1976ffd83278"> 131</a></span><a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>::<a class="code hl_class" href="classxrpl_1_1Number_1_1Guard.html">Guard</a>::<a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a11e2fc9dcf9120daa2ff1976ffd83278">set_positive</a>() noexcept</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span>{</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <a class="code hl_variable" href="classxrpl_1_1Number_1_1Guard.html#ac5ce476230510eae348dd28258f83322">sbit_</a> = 0;</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span>}</div>
</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> </div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span><span class="keyword">inline</span> <span class="keywordtype">void</span></div>
<div class="foldopen" id="foldopen00137" data-start="{" data-end="}">
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number_1_1Guard.html#a81424a2e84074c3ecd4cb454f359c3ee"> 137</a></span><a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a81424a2e84074c3ecd4cb454f359c3ee">Number::Guard::set_negative</a>() noexcept</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span>{</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> <a class="code hl_variable" href="classxrpl_1_1Number_1_1Guard.html#ac5ce476230510eae348dd28258f83322">sbit_</a> = 1;</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span>}</div>
</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> </div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span><span class="keyword">inline</span> <span class="keywordtype">bool</span></div>
<div class="foldopen" id="foldopen00143" data-start="{" data-end="}">
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number_1_1Guard.html#a56a81d86e08ba5f15554710ee6558f5d"> 143</a></span><a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a56a81d86e08ba5f15554710ee6558f5d">Number::Guard::is_negative</a>() const noexcept</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span>{</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="classxrpl_1_1Number_1_1Guard.html#ac5ce476230510eae348dd28258f83322">sbit_</a> == 1;</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span>}</div>
</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> </div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span><span class="keyword">inline</span> <span class="keywordtype">void</span></div>
<div class="foldopen" id="foldopen00149" data-start="{" data-end="}">
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number_1_1Guard.html#a7e98b203dc4370e448d1398ecdf05745"> 149</a></span><a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a7e98b203dc4370e448d1398ecdf05745">Number::Guard::doPush</a>(<span class="keywordtype">unsigned</span> d) <span class="keyword">noexcept</span></div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span>{</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <a class="code hl_variable" href="classxrpl_1_1Number_1_1Guard.html#a9671112916b037a39959d72ed3ea8612">xbit_</a> = <a class="code hl_variable" href="classxrpl_1_1Number_1_1Guard.html#a9671112916b037a39959d72ed3ea8612">xbit_</a> || ((<a class="code hl_variable" href="classxrpl_1_1Number_1_1Guard.html#af2fda4b03dd23b878f01f16425cb6c7e">digits_</a> &amp; 0x0000&#39;0000&#39;0000&#39;000F) != 0);</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <a class="code hl_variable" href="classxrpl_1_1Number_1_1Guard.html#af2fda4b03dd23b878f01f16425cb6c7e">digits_</a> &gt;&gt;= 4;</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> <a class="code hl_variable" href="classxrpl_1_1Number_1_1Guard.html#af2fda4b03dd23b878f01f16425cb6c7e">digits_</a> |= (d &amp; 0x0000&#39;0000&#39;0000&#39;000FULL) &lt;&lt; 60;</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span>}</div>
</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> </div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span><span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span><span class="keyword">inline</span> <span class="keywordtype">void</span></div>
<div class="foldopen" id="foldopen00158" data-start="{" data-end="}">
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number_1_1Guard.html#aeeb29d02bbadd5bf87e04a4d1d203363"> 158</a></span><a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#aeeb29d02bbadd5bf87e04a4d1d203363">Number::Guard::push</a>(T d) <span class="keyword">noexcept</span></div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span>{</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> <a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a7e98b203dc4370e448d1398ecdf05745">doPush</a>(<span class="keyword">static_cast&lt;</span><span class="keywordtype">unsigned</span><span class="keyword">&gt;</span>(d));</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span>}</div>
</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> </div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span><span class="keyword">inline</span> <span class="keywordtype">unsigned</span></div>
<div class="foldopen" id="foldopen00164" data-start="{" data-end="}">
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number_1_1Guard.html#a1977d28778524257f10ce34f95858840"> 164</a></span><a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a1977d28778524257f10ce34f95858840">Number::Guard::pop</a>() noexcept</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span>{</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <span class="keywordtype">unsigned</span> d = (<a class="code hl_variable" href="classxrpl_1_1Number_1_1Guard.html#af2fda4b03dd23b878f01f16425cb6c7e">digits_</a> &amp; 0xF000&#39;0000&#39;0000&#39;0000) &gt;&gt; 60;</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <a class="code hl_variable" href="classxrpl_1_1Number_1_1Guard.html#af2fda4b03dd23b878f01f16425cb6c7e">digits_</a> &lt;&lt;= 4;</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> <span class="keywordflow">return</span> d;</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span>}</div>
</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> </div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span><span class="comment">// Returns:</span></div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span><span class="comment">// -1 if Guard is less than half</span></div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span><span class="comment">// 0 if Guard is exactly half</span></div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span><span class="comment">// 1 if Guard is greater than half</span></div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span><span class="keywordtype">int</span></div>
<div class="foldopen" id="foldopen00176" data-start="{" data-end="}">
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number_1_1Guard.html#a0ebc09f6e6241ba83bec8d3268d50c31"> 176</a></span><a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a0ebc09f6e6241ba83bec8d3268d50c31">Number::Guard::round</a>() noexcept</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span>{</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> <span class="keyword">auto</span> mode = <a class="code hl_function" href="classxrpl_1_1Number.html#a0c71d26d6de400ed12cf3923157aca31">Number::getround</a>();</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> </div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> <span class="keywordflow">if</span> (mode == <a class="code hl_enumvalue" href="classxrpl_1_1Number.html#a40e08f75077897215c66d102b5b75f95aa0120ec63f8c549bc0bf1c945e36e779">towards_zero</a>)</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <span class="keywordflow">return</span> -1;</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> </div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> <span class="keywordflow">if</span> (mode == <a class="code hl_enumvalue" href="classxrpl_1_1Number.html#a40e08f75077897215c66d102b5b75f95aefac6c5bd63a85dcee4fc69baf788d40">downward</a>)</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> {</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="classxrpl_1_1Number_1_1Guard.html#ac5ce476230510eae348dd28258f83322">sbit_</a>)</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> {</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="classxrpl_1_1Number_1_1Guard.html#af2fda4b03dd23b878f01f16425cb6c7e">digits_</a> &gt; 0 || <a class="code hl_variable" href="classxrpl_1_1Number_1_1Guard.html#a9671112916b037a39959d72ed3ea8612">xbit_</a>)</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> <span class="keywordflow">return</span> 1;</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> }</div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <span class="keywordflow">return</span> -1;</div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> }</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> </div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="keywordflow">if</span> (mode == <a class="code hl_enumvalue" href="classxrpl_1_1Number.html#a40e08f75077897215c66d102b5b75f95aaf71effcd4dcf7bc7c89bb51e27e8b17">upward</a>)</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> {</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="classxrpl_1_1Number_1_1Guard.html#ac5ce476230510eae348dd28258f83322">sbit_</a>)</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> <span class="keywordflow">return</span> -1;</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="classxrpl_1_1Number_1_1Guard.html#af2fda4b03dd23b878f01f16425cb6c7e">digits_</a> &gt; 0 || <a class="code hl_variable" href="classxrpl_1_1Number_1_1Guard.html#a9671112916b037a39959d72ed3ea8612">xbit_</a>)</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <span class="keywordflow">return</span> 1;</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="keywordflow">return</span> -1;</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> }</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> </div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <span class="comment">// assume round to nearest if mode is not one of the predefined values</span></div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="classxrpl_1_1Number_1_1Guard.html#af2fda4b03dd23b878f01f16425cb6c7e">digits_</a> &gt; 0x5000&#39;0000&#39;0000&#39;0000)</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="keywordflow">return</span> 1;</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="classxrpl_1_1Number_1_1Guard.html#af2fda4b03dd23b878f01f16425cb6c7e">digits_</a> &lt; 0x5000&#39;0000&#39;0000&#39;0000)</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <span class="keywordflow">return</span> -1;</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="classxrpl_1_1Number_1_1Guard.html#a9671112916b037a39959d72ed3ea8612">xbit_</a>)</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> <span class="keywordflow">return</span> 1;</div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span>}</div>
</div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> </div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span><span class="keyword">template</span> &lt;Un<span class="keywordtype">signed</span>Mantissa T&gt;</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span><span class="keywordtype">void</span></div>
<div class="foldopen" id="foldopen00214" data-start="{" data-end="}">
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number_1_1Guard.html#a491b4ea2971fe0221fa0e61179154c6b"> 214</a></span><a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a491b4ea2971fe0221fa0e61179154c6b">Number::Guard::bringIntoRange</a>(<span class="keywordtype">bool</span>&amp; negative, T&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a>, <span class="keywordtype">int</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a>, <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">internalrep</a> <span class="keyword">const</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a>)</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span>{</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> <span class="comment">// Bring mantissa back into the minMantissa / maxMantissa range AFTER</span></div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> <span class="comment">// rounding</span></div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a> &lt; <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a>)</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> {</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a> *= 10;</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> --<a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a>;</div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> }</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a> &lt; <a class="code hl_variable" href="classxrpl_1_1Number.html#a7cf828e636abd921b2ff2bca7a7bc8b8">minExponent</a>)</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> {</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> <span class="keyword">constexpr</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> zero = <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>{};</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> </div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> negative = zero.<a class="code hl_variable" href="classxrpl_1_1Number.html#ae6da4d1edef20960bc7d37aa0a731fe0">negative_</a>;</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a> = zero.<a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a>;</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> <a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a> = zero.<a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a>;</div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> }</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span>}</div>
</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> </div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span><span class="keyword">template</span> &lt;Un<span class="keywordtype">signed</span>Mantissa T&gt;</div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span><span class="keywordtype">void</span></div>
<div class="foldopen" id="foldopen00235" data-start="{" data-end="}">
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number_1_1Guard.html#a1c936cf21ec79609449a3868ca013c7f"> 235</a></span><a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a1c936cf21ec79609449a3868ca013c7f">Number::Guard::doRoundUp</a>(</div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> <span class="keywordtype">bool</span>&amp; negative,</div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> T&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a>,</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> <span class="keywordtype">int</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a>,</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">internalrep</a> <span class="keyword">const</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a>,</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">internalrep</a> <span class="keyword">const</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a992a7b726b84f3e57bdba64acc107ba9">maxMantissa</a>,</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> location)</div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span>{</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> <span class="keyword">auto</span> r = <a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a0ebc09f6e6241ba83bec8d3268d50c31">round</a>();</div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> <span class="keywordflow">if</span> (r == 1 || (r == 0 &amp;&amp; (<a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a> &amp; 1) == 1))</div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> {</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> ++<a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a>;</div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> <span class="comment">// Ensure mantissa after incrementing fits within both the</span></div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> <span class="comment">// min/maxMantissa range and is a valid &quot;rep&quot;.</span></div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a> &gt; <a class="code hl_function" href="classxrpl_1_1Number.html#a992a7b726b84f3e57bdba64acc107ba9">maxMantissa</a> || <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a> &gt; <a class="code hl_variable" href="classxrpl_1_1Number.html#a5b91f73f5bb83bdca17bcd2378b612f8">maxRep</a>)</div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> {</div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a> /= 10;</div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> ++<a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a>;</div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> }</div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> }</div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> <a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a491b4ea2971fe0221fa0e61179154c6b">bringIntoRange</a>(negative, <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a>, <a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a>, <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a>);</div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a> &gt; <a class="code hl_variable" href="classxrpl_1_1Number.html#aa41a4f7784291ffd76634c7fc567f6fb">maxExponent</a>)</div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> <span class="keywordflow">throw</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/error/overflow_error.html">std::overflow_error</a>(location);</div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span>}</div>
</div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> </div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span><span class="keyword">template</span> &lt;Un<span class="keywordtype">signed</span>Mantissa T&gt;</div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span><span class="keywordtype">void</span></div>
<div class="foldopen" id="foldopen00262" data-start="{" data-end="}">
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number_1_1Guard.html#a587e49e00e7b5b36cb51a6b8df743c59"> 262</a></span><a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a587e49e00e7b5b36cb51a6b8df743c59">Number::Guard::doRoundDown</a>(<span class="keywordtype">bool</span>&amp; negative, T&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a>, <span class="keywordtype">int</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a>, <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">internalrep</a> <span class="keyword">const</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a>)</div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span>{</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> <span class="keyword">auto</span> r = <a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a0ebc09f6e6241ba83bec8d3268d50c31">round</a>();</div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> <span class="keywordflow">if</span> (r == 1 || (r == 0 &amp;&amp; (<a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a> &amp; 1) == 1))</div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> {</div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> --<a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a>;</div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a> &lt; <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a>)</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> {</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a> *= 10;</div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> --<a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a>;</div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> }</div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> }</div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> <a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a491b4ea2971fe0221fa0e61179154c6b">bringIntoRange</a>(negative, <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a>, <a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a>, <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a>);</div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span>}</div>
</div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> </div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span><span class="comment">// Modify the result to the correctly rounded value</span></div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span><span class="keywordtype">void</span></div>
<div class="foldopen" id="foldopen00279" data-start="{" data-end="}">
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number_1_1Guard.html#a55bc76505e3a34a0d50baa1c7eeae19c"> 279</a></span><a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a55bc76505e3a34a0d50baa1c7eeae19c">Number::Guard::doRound</a>(<a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">rep</a>&amp; drops, <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> location)</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span>{</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> <span class="keyword">auto</span> r = <a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a0ebc09f6e6241ba83bec8d3268d50c31">round</a>();</div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> <span class="keywordflow">if</span> (r == 1 || (r == 0 &amp;&amp; (drops &amp; 1) == 1))</div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> {</div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> <span class="keywordflow">if</span> (drops &gt;= <a class="code hl_variable" href="classxrpl_1_1Number.html#a5b91f73f5bb83bdca17bcd2378b612f8">maxRep</a>)</div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> {</div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> <span class="keyword">static_assert</span>(<span class="keyword">sizeof</span>(<a class="code hl_typedef" href="classxrpl_1_1Number.html#a67e66cfedbb2ff6c670917e4872da14f">internalrep</a>) == <span class="keyword">sizeof</span>(<a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">rep</a>));</div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> <span class="comment">// This should be impossible, because it&#39;s impossible to represent</span></div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> <span class="comment">// &quot;maxRep + 0.6&quot; in Number, regardless of the scale. There aren&#39;t</span></div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> <span class="comment">// enough digits available. You&#39;d either get a mantissa of &quot;maxRep&quot;</span></div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> <span class="comment">// or &quot;(maxRep + 1) / 10&quot;, neither of which will round up when</span></div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> <span class="comment">// converting to rep, though the latter might overflow _before_</span></div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> <span class="comment">// rounding.</span></div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> <span class="keywordflow">throw</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/error/overflow_error.html">std::overflow_error</a>(location); <span class="comment">// LCOV_EXCL_LINE</span></div>
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> }</div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> ++drops;</div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> }</div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a56a81d86e08ba5f15554710ee6558f5d">is_negative</a>())</div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> drops = -drops;</div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span>}</div>
</div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> </div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span><span class="comment">// Number</span></div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> </div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span><span class="comment">// Safely convert rep (int64) mantissa to internalrep (uint64). If the rep is</span></div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span><span class="comment">// negative, returns the positive value. This takes a little extra work because</span></div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span><span class="comment">// converting std::numeric_limits&lt;std::int64_t&gt;::min() flirts with UB, and can</span></div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span><span class="comment">// vary across compilers.</span></div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span><a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">Number::internalrep</a></div>
<div class="foldopen" id="foldopen00308" data-start="{" data-end="}">
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number.html#a966f5eca09ff61f50f0c377dea86c798"> 308</a></span><a class="code hl_function" href="classxrpl_1_1Number.html#a966f5eca09ff61f50f0c377dea86c798">Number::externalToInternal</a>(<a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">rep</a> <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a>)</div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span>{</div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> <span class="comment">// If the mantissa is already positive, just return it</span></div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a> &gt;= 0)</div>
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> <span class="keywordflow">return</span> <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a>;</div>
<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> <span class="comment">// If the mantissa is negative, but fits within the positive range of rep,</span></div>
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> <span class="comment">// return it negated</span></div>
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a> &gt;= -<a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/numeric_limits.html">std::numeric_limits&lt;rep&gt;::max</a>())</div>
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> <span class="keywordflow">return</span> -<a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a>;</div>
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> </div>
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> <span class="comment">// If the mantissa doesn&#39;t fit within the positive range, convert to</span></div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> <span class="comment">// int128_t, negate that, and cast it back down to the internalrep</span></div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> <span class="comment">// In practice, this is only going to cover the case of</span></div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> <span class="comment">// std::numeric_limits&lt;rep&gt;::min().</span></div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> int128_t temp = <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a>;</div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> <span class="keywordflow">return</span> <span class="keyword">static_cast&lt;</span><a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">internalrep</a><span class="keyword">&gt;</span>(-temp);</div>
<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span>}</div>
</div>
<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> </div>
<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span><span class="keyword">constexpr</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a></div>
<div class="foldopen" id="foldopen00327" data-start="{" data-end="}">
<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number.html#a0981e6287c63318941d3b12d5c51c419"> 327</a></span><a class="code hl_function" href="classxrpl_1_1Number.html#a0981e6287c63318941d3b12d5c51c419">Number::oneSmall</a>()</div>
<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span>{</div>
<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> <span class="keywordflow">return</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>{<span class="keyword">false</span>, <a class="code hl_variable" href="classxrpl_1_1Number.html#a484ed599d53a6c6f57cd6b6163dca4d6">Number::smallRange</a>.<a class="code hl_variable" href="structxrpl_1_1MantissaRange.html#a6e5cafa1836416d4069e77a8fb54363c">min</a>, -<a class="code hl_variable" href="classxrpl_1_1Number.html#a484ed599d53a6c6f57cd6b6163dca4d6">Number::smallRange</a>.<a class="code hl_variable" href="structxrpl_1_1MantissaRange.html#aea1c72494866d67e120bd23737080a7e">log</a>, <a class="code hl_struct" href="structxrpl_1_1Number_1_1unchecked.html">Number::unchecked</a>{}};</div>
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span>};</div>
</div>
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> </div>
<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"><a class="line" href="namespacexrpl.html#a8b5241821c12fc02371c08f79f642801"> 332</a></span><span class="keyword">constexpr</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> <a class="code hl_variable" href="namespacexrpl.html#a8b5241821c12fc02371c08f79f642801">oneSml</a> = <a class="code hl_function" href="classxrpl_1_1Number.html#a0981e6287c63318941d3b12d5c51c419">Number::oneSmall</a>();</div>
<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span> </div>
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span><span class="keyword">constexpr</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a></div>
<div class="foldopen" id="foldopen00335" data-start="{" data-end="}">
<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number.html#ae07fcd3fb3a2d61a8c4491e43c3d99b2"> 335</a></span><a class="code hl_function" href="classxrpl_1_1Number.html#ae07fcd3fb3a2d61a8c4491e43c3d99b2">Number::oneLarge</a>()</div>
<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span>{</div>
<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span> <span class="keywordflow">return</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>{<span class="keyword">false</span>, <a class="code hl_variable" href="classxrpl_1_1Number.html#ace04e61c20eedabf3ead4454049d9126">Number::largeRange</a>.<a class="code hl_variable" href="structxrpl_1_1MantissaRange.html#a6e5cafa1836416d4069e77a8fb54363c">min</a>, -<a class="code hl_variable" href="classxrpl_1_1Number.html#ace04e61c20eedabf3ead4454049d9126">Number::largeRange</a>.<a class="code hl_variable" href="structxrpl_1_1MantissaRange.html#aea1c72494866d67e120bd23737080a7e">log</a>, <a class="code hl_struct" href="structxrpl_1_1Number_1_1unchecked.html">Number::unchecked</a>{}};</div>
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span>};</div>
</div>
<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"> 339</span> </div>
<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"><a class="line" href="namespacexrpl.html#ac8b787145f3e674ee3c180e784f42142"> 340</a></span><span class="keyword">constexpr</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> <a class="code hl_variable" href="namespacexrpl.html#ac8b787145f3e674ee3c180e784f42142">oneLrg</a> = <a class="code hl_function" href="classxrpl_1_1Number.html#ae07fcd3fb3a2d61a8c4491e43c3d99b2">Number::oneLarge</a>();</div>
<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> </div>
<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span><a class="code hl_class" href="classxrpl_1_1Number.html">Number</a></div>
<div class="foldopen" id="foldopen00343" data-start="{" data-end="}">
<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number.html#ad7b3dcf0314ef5327550516bdb1fa7d2"> 343</a></span><a class="code hl_function" href="classxrpl_1_1Number.html#ad7b3dcf0314ef5327550516bdb1fa7d2">Number::one</a>()</div>
<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span>{</div>
<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</span> <span class="keywordflow">if</span> (&amp;<a class="code hl_variable" href="classxrpl_1_1Number.html#ab2381c12707d6e7e9a7704b4733ae3af">range_</a>.get() == &amp;<a class="code hl_variable" href="classxrpl_1_1Number.html#a484ed599d53a6c6f57cd6b6163dca4d6">smallRange</a>)</div>
<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="namespacexrpl.html#a8b5241821c12fc02371c08f79f642801">oneSml</a>;</div>
<div class="line"><a id="l00347" name="l00347"></a><span class="lineno"> 347</span> XRPL_ASSERT(&amp;<a class="code hl_variable" href="classxrpl_1_1Number.html#ab2381c12707d6e7e9a7704b4733ae3af">range_</a>.get() == &amp;<a class="code hl_variable" href="classxrpl_1_1Number.html#ace04e61c20eedabf3ead4454049d9126">largeRange</a>, <span class="stringliteral">&quot;Number::one() : valid range_&quot;</span>);</div>
<div class="line"><a id="l00348" name="l00348"></a><span class="lineno"> 348</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="namespacexrpl.html#ac8b787145f3e674ee3c180e784f42142">oneLrg</a>;</div>
<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"> 349</span>}</div>
</div>
<div class="line"><a id="l00350" name="l00350"></a><span class="lineno"> 350</span> </div>
<div class="line"><a id="l00351" name="l00351"></a><span class="lineno"> 351</span><span class="comment">// Use the member names in this static function for now so the diff is cleaner</span></div>
<div class="line"><a id="l00352" name="l00352"></a><span class="lineno"> 352</span><span class="comment">// TODO: Rename the function parameters to get rid of the &quot;_&quot; suffix</span></div>
<div class="line"><a id="l00353" name="l00353"></a><span class="lineno"> 353</span><span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="line"><a id="l00354" name="l00354"></a><span class="lineno"> 354</span><span class="keywordtype">void</span></div>
<div class="foldopen" id="foldopen00355" data-start="{" data-end="};">
<div class="line"><a id="l00355" name="l00355"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number.html#a4f3e98cecc5435852a47d61a2d80d02f"> 355</a></span><a class="code hl_friend" href="classxrpl_1_1Number.html#a4f3e98cecc5435852a47d61a2d80d02f">doNormalize</a>(</div>
<div class="line"><a id="l00356" name="l00356"></a><span class="lineno"> 356</span> <span class="keywordtype">bool</span>&amp; negative,</div>
<div class="line"><a id="l00357" name="l00357"></a><span class="lineno"> 357</span> T&amp; <a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a>,</div>
<div class="line"><a id="l00358" name="l00358"></a><span class="lineno"> 358</span> <span class="keywordtype">int</span>&amp; <a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a>,</div>
<div class="line"><a id="l00359" name="l00359"></a><span class="lineno"> 359</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">MantissaRange::rep</a> <span class="keyword">const</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a>,</div>
<div class="line"><a id="l00360" name="l00360"></a><span class="lineno"> 360</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">MantissaRange::rep</a> <span class="keyword">const</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a992a7b726b84f3e57bdba64acc107ba9">maxMantissa</a>)</div>
<div class="line"><a id="l00361" name="l00361"></a><span class="lineno"> 361</span>{</div>
<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"> 362</span> <span class="keyword">auto</span> <span class="keyword">constexpr</span> <a class="code hl_variable" href="classxrpl_1_1Number.html#a7cf828e636abd921b2ff2bca7a7bc8b8">minExponent</a> = <a class="code hl_variable" href="classxrpl_1_1Number.html#a7cf828e636abd921b2ff2bca7a7bc8b8">Number::minExponent</a>;</div>
<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</span> <span class="keyword">auto</span> <span class="keyword">constexpr</span> <a class="code hl_variable" href="classxrpl_1_1Number.html#aa41a4f7784291ffd76634c7fc567f6fb">maxExponent</a> = <a class="code hl_variable" href="classxrpl_1_1Number.html#aa41a4f7784291ffd76634c7fc567f6fb">Number::maxExponent</a>;</div>
<div class="line"><a id="l00364" name="l00364"></a><span class="lineno"> 364</span> <span class="keyword">auto</span> <span class="keyword">constexpr</span> <a class="code hl_variable" href="classxrpl_1_1Number.html#a5b91f73f5bb83bdca17bcd2378b612f8">maxRep</a> = <a class="code hl_variable" href="classxrpl_1_1Number.html#a5b91f73f5bb83bdca17bcd2378b612f8">Number::maxRep</a>;</div>
<div class="line"><a id="l00365" name="l00365"></a><span class="lineno"> 365</span> </div>
<div class="line"><a id="l00366" name="l00366"></a><span class="lineno"> 366</span> <span class="keyword">using </span><a class="code hl_class" href="classxrpl_1_1Number_1_1Guard.html">Guard</a> = <a class="code hl_class" href="classxrpl_1_1Number_1_1Guard.html">Number::Guard</a>;</div>
<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"> 367</span> </div>
<div class="line"><a id="l00368" name="l00368"></a><span class="lineno"> 368</span> <span class="keyword">constexpr</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> zero = <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>{};</div>
<div class="line"><a id="l00369" name="l00369"></a><span class="lineno"> 369</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a> == 0)</div>
<div class="line"><a id="l00370" name="l00370"></a><span class="lineno"> 370</span> {</div>
<div class="line"><a id="l00371" name="l00371"></a><span class="lineno"> 371</span> <a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a> = zero.<a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a>;</div>
<div class="line"><a id="l00372" name="l00372"></a><span class="lineno"> 372</span> <a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a> = zero.<a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a>;</div>
<div class="line"><a id="l00373" name="l00373"></a><span class="lineno"> 373</span> negative = zero.<a class="code hl_variable" href="classxrpl_1_1Number.html#ae6da4d1edef20960bc7d37aa0a731fe0">negative_</a>;</div>
<div class="line"><a id="l00374" name="l00374"></a><span class="lineno"> 374</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00375" name="l00375"></a><span class="lineno"> 375</span> }</div>
<div class="line"><a id="l00376" name="l00376"></a><span class="lineno"> 376</span> <span class="keyword">auto</span> m = <a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a>;</div>
<div class="line"><a id="l00377" name="l00377"></a><span class="lineno"> 377</span> <span class="keywordflow">while</span> ((m &lt; <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a>) &amp;&amp; (<a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a> &gt; <a class="code hl_variable" href="classxrpl_1_1Number.html#a7cf828e636abd921b2ff2bca7a7bc8b8">minExponent</a>))</div>
<div class="line"><a id="l00378" name="l00378"></a><span class="lineno"> 378</span> {</div>
<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"> 379</span> m *= 10;</div>
<div class="line"><a id="l00380" name="l00380"></a><span class="lineno"> 380</span> --<a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a>;</div>
<div class="line"><a id="l00381" name="l00381"></a><span class="lineno"> 381</span> }</div>
<div class="line"><a id="l00382" name="l00382"></a><span class="lineno"> 382</span> <a class="code hl_class" href="classxrpl_1_1Number_1_1Guard.html">Guard</a> g;</div>
<div class="line"><a id="l00383" name="l00383"></a><span class="lineno"> 383</span> <span class="keywordflow">if</span> (negative)</div>
<div class="line"><a id="l00384" name="l00384"></a><span class="lineno"> 384</span> g.<a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a81424a2e84074c3ecd4cb454f359c3ee">set_negative</a>();</div>
<div class="line"><a id="l00385" name="l00385"></a><span class="lineno"> 385</span> <span class="keywordflow">while</span> (m &gt; <a class="code hl_function" href="classxrpl_1_1Number.html#a992a7b726b84f3e57bdba64acc107ba9">maxMantissa</a>)</div>
<div class="line"><a id="l00386" name="l00386"></a><span class="lineno"> 386</span> {</div>
<div class="line"><a id="l00387" name="l00387"></a><span class="lineno"> 387</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a> &gt;= <a class="code hl_variable" href="classxrpl_1_1Number.html#aa41a4f7784291ffd76634c7fc567f6fb">maxExponent</a>)</div>
<div class="line"><a id="l00388" name="l00388"></a><span class="lineno"> 388</span> <span class="keywordflow">throw</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/error/overflow_error.html">std::overflow_error</a>(<span class="stringliteral">&quot;Number::normalize 1&quot;</span>);</div>
<div class="line"><a id="l00389" name="l00389"></a><span class="lineno"> 389</span> g.<a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#aeeb29d02bbadd5bf87e04a4d1d203363">push</a>(m % 10);</div>
<div class="line"><a id="l00390" name="l00390"></a><span class="lineno"> 390</span> m /= 10;</div>
<div class="line"><a id="l00391" name="l00391"></a><span class="lineno"> 391</span> ++<a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a>;</div>
<div class="line"><a id="l00392" name="l00392"></a><span class="lineno"> 392</span> }</div>
<div class="line"><a id="l00393" name="l00393"></a><span class="lineno"> 393</span> <span class="keywordflow">if</span> ((<a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a> &lt; <a class="code hl_variable" href="classxrpl_1_1Number.html#a7cf828e636abd921b2ff2bca7a7bc8b8">minExponent</a>) || (m &lt; <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a>))</div>
<div class="line"><a id="l00394" name="l00394"></a><span class="lineno"> 394</span> {</div>
<div class="line"><a id="l00395" name="l00395"></a><span class="lineno"> 395</span> <a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a> = zero.<a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a>;</div>
<div class="line"><a id="l00396" name="l00396"></a><span class="lineno"> 396</span> <a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a> = zero.<a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a>;</div>
<div class="line"><a id="l00397" name="l00397"></a><span class="lineno"> 397</span> negative = zero.<a class="code hl_variable" href="classxrpl_1_1Number.html#ae6da4d1edef20960bc7d37aa0a731fe0">negative_</a>;</div>
<div class="line"><a id="l00398" name="l00398"></a><span class="lineno"> 398</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00399" name="l00399"></a><span class="lineno"> 399</span> }</div>
<div class="line"><a id="l00400" name="l00400"></a><span class="lineno"> 400</span> </div>
<div class="line"><a id="l00401" name="l00401"></a><span class="lineno"> 401</span> <span class="comment">// When using the largeRange, &quot;m&quot; needs fit within an int64, even if</span></div>
<div class="line"><a id="l00402" name="l00402"></a><span class="lineno"> 402</span> <span class="comment">// the final mantissa_ is going to end up larger to fit within the</span></div>
<div class="line"><a id="l00403" name="l00403"></a><span class="lineno"> 403</span> <span class="comment">// MantissaRange. Cut it down here so that the rounding will be done while</span></div>
<div class="line"><a id="l00404" name="l00404"></a><span class="lineno"> 404</span> <span class="comment">// it&#39;s smaller.</span></div>
<div class="line"><a id="l00405" name="l00405"></a><span class="lineno"> 405</span> <span class="comment">//</span></div>
<div class="line"><a id="l00406" name="l00406"></a><span class="lineno"> 406</span> <span class="comment">// Example: 9,900,000,000,000,123,456 &gt; 9,223,372,036,854,775,807,</span></div>
<div class="line"><a id="l00407" name="l00407"></a><span class="lineno"> 407</span> <span class="comment">// so &quot;m&quot; will be modified to 990,000,000,000,012,345. Then that value</span></div>
<div class="line"><a id="l00408" name="l00408"></a><span class="lineno"> 408</span> <span class="comment">// will be rounded to 990,000,000,000,012,345 or</span></div>
<div class="line"><a id="l00409" name="l00409"></a><span class="lineno"> 409</span> <span class="comment">// 990,000,000,000,012,346, depending on the rounding mode. Finally,</span></div>
<div class="line"><a id="l00410" name="l00410"></a><span class="lineno"> 410</span> <span class="comment">// mantissa_ will be &quot;m*10&quot; so it fits within the range, and end up as</span></div>
<div class="line"><a id="l00411" name="l00411"></a><span class="lineno"> 411</span> <span class="comment">// 9,900,000,000,000,123,450 or 9,900,000,000,000,123,460.</span></div>
<div class="line"><a id="l00412" name="l00412"></a><span class="lineno"> 412</span> <span class="comment">// mantissa() will return mantissa_ / 10, and exponent() will return</span></div>
<div class="line"><a id="l00413" name="l00413"></a><span class="lineno"> 413</span> <span class="comment">// exponent_ + 1.</span></div>
<div class="line"><a id="l00414" name="l00414"></a><span class="lineno"> 414</span> <span class="keywordflow">if</span> (m &gt; <a class="code hl_variable" href="classxrpl_1_1Number.html#a5b91f73f5bb83bdca17bcd2378b612f8">maxRep</a>)</div>
<div class="line"><a id="l00415" name="l00415"></a><span class="lineno"> 415</span> {</div>
<div class="line"><a id="l00416" name="l00416"></a><span class="lineno"> 416</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a> &gt;= <a class="code hl_variable" href="classxrpl_1_1Number.html#aa41a4f7784291ffd76634c7fc567f6fb">maxExponent</a>)</div>
<div class="line"><a id="l00417" name="l00417"></a><span class="lineno"> 417</span> <span class="keywordflow">throw</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/error/overflow_error.html">std::overflow_error</a>(<span class="stringliteral">&quot;Number::normalize 1.5&quot;</span>);</div>
<div class="line"><a id="l00418" name="l00418"></a><span class="lineno"> 418</span> g.<a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#aeeb29d02bbadd5bf87e04a4d1d203363">push</a>(m % 10);</div>
<div class="line"><a id="l00419" name="l00419"></a><span class="lineno"> 419</span> m /= 10;</div>
<div class="line"><a id="l00420" name="l00420"></a><span class="lineno"> 420</span> ++<a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a>;</div>
<div class="line"><a id="l00421" name="l00421"></a><span class="lineno"> 421</span> }</div>
<div class="line"><a id="l00422" name="l00422"></a><span class="lineno"> 422</span> <span class="comment">// Before modification, m should be within the min/max range. After</span></div>
<div class="line"><a id="l00423" name="l00423"></a><span class="lineno"> 423</span> <span class="comment">// modification, it must be less than maxRep. In other words, the original</span></div>
<div class="line"><a id="l00424" name="l00424"></a><span class="lineno"> 424</span> <span class="comment">// value should have been no more than maxRep * 10.</span></div>
<div class="line"><a id="l00425" name="l00425"></a><span class="lineno"> 425</span> <span class="comment">// (maxRep * 10 &gt; maxMantissa)</span></div>
<div class="line"><a id="l00426" name="l00426"></a><span class="lineno"> 426</span> XRPL_ASSERT_PARTS(m &lt;= <a class="code hl_variable" href="classxrpl_1_1Number.html#a5b91f73f5bb83bdca17bcd2378b612f8">maxRep</a>, <span class="stringliteral">&quot;xrpl::doNormalize&quot;</span>, <span class="stringliteral">&quot;intermediate mantissa fits in int64&quot;</span>);</div>
<div class="line"><a id="l00427" name="l00427"></a><span class="lineno"> 427</span> <a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a> = m;</div>
<div class="line"><a id="l00428" name="l00428"></a><span class="lineno"> 428</span> </div>
<div class="line"><a id="l00429" name="l00429"></a><span class="lineno"> 429</span> g.<a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a1c936cf21ec79609449a3868ca013c7f">doRoundUp</a>(negative, <a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a>, <a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a>, <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a>, <a class="code hl_function" href="classxrpl_1_1Number.html#a992a7b726b84f3e57bdba64acc107ba9">maxMantissa</a>, <span class="stringliteral">&quot;Number::normalize 2&quot;</span>);</div>
<div class="line"><a id="l00430" name="l00430"></a><span class="lineno"> 430</span> XRPL_ASSERT_PARTS(</div>
<div class="line"><a id="l00431" name="l00431"></a><span class="lineno"> 431</span> <a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a> &gt;= <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a> &amp;&amp; <a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a> &lt;= <a class="code hl_function" href="classxrpl_1_1Number.html#a992a7b726b84f3e57bdba64acc107ba9">maxMantissa</a>, <span class="stringliteral">&quot;xrpl::doNormalize&quot;</span>, <span class="stringliteral">&quot;final mantissa fits in range&quot;</span>);</div>
<div class="line"><a id="l00432" name="l00432"></a><span class="lineno"> 432</span>}</div>
</div>
<div class="line"><a id="l00433" name="l00433"></a><span class="lineno"> 433</span> </div>
<div class="line"><a id="l00434" name="l00434"></a><span class="lineno"> 434</span><span class="keyword">template</span> &lt;&gt;</div>
<div class="foldopen" id="foldopen00435" data-start="{" data-end="}">
<div class="line"><a id="l00435" name="l00435"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number.html#a85a1f584e04ab4bd89d1f1e73a03dfd2"> 435</a></span><span class="keywordtype">void</span></div>
<div class="line"><a id="l00436" name="l00436"></a><span class="lineno"> 436</span>Number::normalize&lt;uint128_t&gt;(</div>
<div class="line"><a id="l00437" name="l00437"></a><span class="lineno"> 437</span> <span class="keywordtype">bool</span>&amp; negative,</div>
<div class="line"><a id="l00438" name="l00438"></a><span class="lineno"> 438</span> uint128_t&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a>,</div>
<div class="line"><a id="l00439" name="l00439"></a><span class="lineno"> 439</span> <span class="keywordtype">int</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a>,</div>
<div class="line"><a id="l00440" name="l00440"></a><span class="lineno"> 440</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">internalrep</a> <span class="keyword">const</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a>,</div>
<div class="line"><a id="l00441" name="l00441"></a><span class="lineno"> 441</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">internalrep</a> <span class="keyword">const</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a992a7b726b84f3e57bdba64acc107ba9">maxMantissa</a>)</div>
<div class="line"><a id="l00442" name="l00442"></a><span class="lineno"> 442</span>{</div>
<div class="line"><a id="l00443" name="l00443"></a><span class="lineno"> 443</span> <a class="code hl_friend" href="classxrpl_1_1Number.html#a4f3e98cecc5435852a47d61a2d80d02f">doNormalize</a>(negative, <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a>, <a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a>, <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a>, <a class="code hl_function" href="classxrpl_1_1Number.html#a992a7b726b84f3e57bdba64acc107ba9">maxMantissa</a>);</div>
<div class="line"><a id="l00444" name="l00444"></a><span class="lineno"> 444</span>}</div>
</div>
<div class="line"><a id="l00445" name="l00445"></a><span class="lineno"> 445</span> </div>
<div class="line"><a id="l00446" name="l00446"></a><span class="lineno"> 446</span><span class="keyword">template</span> &lt;&gt;</div>
<div class="foldopen" id="foldopen00447" data-start="{" data-end="}">
<div class="line"><a id="l00447" name="l00447"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number.html#a176c4c2727bbfcdfb6c9900142495dd3"> 447</a></span><span class="keywordtype">void</span></div>
<div class="line"><a id="l00448" name="l00448"></a><span class="lineno"> 448</span>Number::normalize&lt;unsigned long long&gt;(</div>
<div class="line"><a id="l00449" name="l00449"></a><span class="lineno"> 449</span> <span class="keywordtype">bool</span>&amp; negative,</div>
<div class="line"><a id="l00450" name="l00450"></a><span class="lineno"> 450</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <span class="keywordtype">long</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a>,</div>
<div class="line"><a id="l00451" name="l00451"></a><span class="lineno"> 451</span> <span class="keywordtype">int</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a>,</div>
<div class="line"><a id="l00452" name="l00452"></a><span class="lineno"> 452</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">internalrep</a> <span class="keyword">const</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a>,</div>
<div class="line"><a id="l00453" name="l00453"></a><span class="lineno"> 453</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">internalrep</a> <span class="keyword">const</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a992a7b726b84f3e57bdba64acc107ba9">maxMantissa</a>)</div>
<div class="line"><a id="l00454" name="l00454"></a><span class="lineno"> 454</span>{</div>
<div class="line"><a id="l00455" name="l00455"></a><span class="lineno"> 455</span> <a class="code hl_friend" href="classxrpl_1_1Number.html#a4f3e98cecc5435852a47d61a2d80d02f">doNormalize</a>(negative, <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a>, <a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a>, <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a>, <a class="code hl_function" href="classxrpl_1_1Number.html#a992a7b726b84f3e57bdba64acc107ba9">maxMantissa</a>);</div>
<div class="line"><a id="l00456" name="l00456"></a><span class="lineno"> 456</span>}</div>
</div>
<div class="line"><a id="l00457" name="l00457"></a><span class="lineno"> 457</span> </div>
<div class="line"><a id="l00458" name="l00458"></a><span class="lineno"> 458</span><span class="keyword">template</span> &lt;&gt;</div>
<div class="foldopen" id="foldopen00459" data-start="{" data-end="}">
<div class="line"><a id="l00459" name="l00459"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number.html#a7e734ab9162f8836ece323bab0ea8166"> 459</a></span><span class="keywordtype">void</span></div>
<div class="line"><a id="l00460" name="l00460"></a><span class="lineno"> 460</span>Number::normalize&lt;unsigned long&gt;(</div>
<div class="line"><a id="l00461" name="l00461"></a><span class="lineno"> 461</span> <span class="keywordtype">bool</span>&amp; negative,</div>
<div class="line"><a id="l00462" name="l00462"></a><span class="lineno"> 462</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a>,</div>
<div class="line"><a id="l00463" name="l00463"></a><span class="lineno"> 463</span> <span class="keywordtype">int</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a>,</div>
<div class="line"><a id="l00464" name="l00464"></a><span class="lineno"> 464</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">internalrep</a> <span class="keyword">const</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a>,</div>
<div class="line"><a id="l00465" name="l00465"></a><span class="lineno"> 465</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">internalrep</a> <span class="keyword">const</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a992a7b726b84f3e57bdba64acc107ba9">maxMantissa</a>)</div>
<div class="line"><a id="l00466" name="l00466"></a><span class="lineno"> 466</span>{</div>
<div class="line"><a id="l00467" name="l00467"></a><span class="lineno"> 467</span> <a class="code hl_friend" href="classxrpl_1_1Number.html#a4f3e98cecc5435852a47d61a2d80d02f">doNormalize</a>(negative, <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a>, <a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a>, <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a>, <a class="code hl_function" href="classxrpl_1_1Number.html#a992a7b726b84f3e57bdba64acc107ba9">maxMantissa</a>);</div>
<div class="line"><a id="l00468" name="l00468"></a><span class="lineno"> 468</span>}</div>
</div>
<div class="line"><a id="l00469" name="l00469"></a><span class="lineno"> 469</span> </div>
<div class="line"><a id="l00470" name="l00470"></a><span class="lineno"> 470</span><span class="keywordtype">void</span></div>
<div class="foldopen" id="foldopen00471" data-start="{" data-end="}">
<div class="line"><a id="l00471" name="l00471"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number.html#ad471bfbafa5464af9c8b498e125d9873"> 471</a></span><a class="code hl_function" href="classxrpl_1_1Number.html#ad471bfbafa5464af9c8b498e125d9873">Number::normalize</a>()</div>
<div class="line"><a id="l00472" name="l00472"></a><span class="lineno"> 472</span>{</div>
<div class="line"><a id="l00473" name="l00473"></a><span class="lineno"> 473</span> <span class="keyword">auto</span> <span class="keyword">const</span>&amp; <a class="code hl_function" href="namespacexrpl.html#a34fabf5c9fc5c30e86623b6a5eb0ac7d">range</a> = <a class="code hl_variable" href="classxrpl_1_1Number.html#ab2381c12707d6e7e9a7704b4733ae3af">range_</a>.get();</div>
<div class="line"><a id="l00474" name="l00474"></a><span class="lineno"> 474</span> <a class="code hl_function" href="classxrpl_1_1Number.html#ad471bfbafa5464af9c8b498e125d9873">normalize</a>(<a class="code hl_variable" href="classxrpl_1_1Number.html#ae6da4d1edef20960bc7d37aa0a731fe0">negative_</a>, <a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a>, <a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a>, <a class="code hl_function" href="namespacexrpl.html#a34fabf5c9fc5c30e86623b6a5eb0ac7d">range</a>.min, <a class="code hl_function" href="namespacexrpl.html#a34fabf5c9fc5c30e86623b6a5eb0ac7d">range</a>.max);</div>
<div class="line"><a id="l00475" name="l00475"></a><span class="lineno"> 475</span>}</div>
</div>
<div class="line"><a id="l00476" name="l00476"></a><span class="lineno"> 476</span> </div>
<div class="line"><a id="l00477" name="l00477"></a><span class="lineno"> 477</span><span class="comment">// Copy the number, but set a new exponent. Because the mantissa doesn&#39;t change,</span></div>
<div class="line"><a id="l00478" name="l00478"></a><span class="lineno"> 478</span><span class="comment">// the result will be &quot;mostly&quot; normalized, but the exponent could go out of</span></div>
<div class="line"><a id="l00479" name="l00479"></a><span class="lineno"> 479</span><span class="comment">// range.</span></div>
<div class="line"><a id="l00480" name="l00480"></a><span class="lineno"> 480</span><a class="code hl_class" href="classxrpl_1_1Number.html">Number</a></div>
<div class="foldopen" id="foldopen00481" data-start="{" data-end="}">
<div class="line"><a id="l00481" name="l00481"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number.html#a80f5761398748f4d740631511d344701"> 481</a></span><a class="code hl_function" href="classxrpl_1_1Number.html#a80f5761398748f4d740631511d344701">Number::shiftExponent</a>(<span class="keywordtype">int</span> exponentDelta)<span class="keyword"> const</span></div>
<div class="line"><a id="l00482" name="l00482"></a><span class="lineno"> 482</span><span class="keyword"></span>{</div>
<div class="line"><a id="l00483" name="l00483"></a><span class="lineno"> 483</span> XRPL_ASSERT_PARTS(<a class="code hl_function" href="classxrpl_1_1Number.html#aa164f49489cb861950f4477b1f19a211">isnormal</a>(), <span class="stringliteral">&quot;xrpl::Number::shiftExponent&quot;</span>, <span class="stringliteral">&quot;normalized&quot;</span>);</div>
<div class="line"><a id="l00484" name="l00484"></a><span class="lineno"> 484</span> <span class="keyword">auto</span> <span class="keyword">const</span> newExponent = <a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a> + exponentDelta;</div>
<div class="line"><a id="l00485" name="l00485"></a><span class="lineno"> 485</span> <span class="keywordflow">if</span> (newExponent &gt;= <a class="code hl_variable" href="classxrpl_1_1Number.html#aa41a4f7784291ffd76634c7fc567f6fb">maxExponent</a>)</div>
<div class="line"><a id="l00486" name="l00486"></a><span class="lineno"> 486</span> <span class="keywordflow">throw</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/error/overflow_error.html">std::overflow_error</a>(<span class="stringliteral">&quot;Number::shiftExponent&quot;</span>);</div>
<div class="line"><a id="l00487" name="l00487"></a><span class="lineno"> 487</span> <span class="keywordflow">if</span> (newExponent &lt; <a class="code hl_variable" href="classxrpl_1_1Number.html#a7cf828e636abd921b2ff2bca7a7bc8b8">minExponent</a>)</div>
<div class="line"><a id="l00488" name="l00488"></a><span class="lineno"> 488</span> {</div>
<div class="line"><a id="l00489" name="l00489"></a><span class="lineno"> 489</span> <span class="keywordflow">return</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>{};</div>
<div class="line"><a id="l00490" name="l00490"></a><span class="lineno"> 490</span> }</div>
<div class="line"><a id="l00491" name="l00491"></a><span class="lineno"> 491</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> <span class="keyword">const</span> result{<a class="code hl_variable" href="classxrpl_1_1Number.html#ae6da4d1edef20960bc7d37aa0a731fe0">negative_</a>, <a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a>, newExponent, <a class="code hl_struct" href="structxrpl_1_1Number_1_1unchecked.html">unchecked</a>{}};</div>
<div class="line"><a id="l00492" name="l00492"></a><span class="lineno"> 492</span> XRPL_ASSERT_PARTS(result.isnormal(), <span class="stringliteral">&quot;xrpl::Number::shiftExponent&quot;</span>, <span class="stringliteral">&quot;result is normalized&quot;</span>);</div>
<div class="line"><a id="l00493" name="l00493"></a><span class="lineno"> 493</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l00494" name="l00494"></a><span class="lineno"> 494</span>}</div>
</div>
<div class="line"><a id="l00495" name="l00495"></a><span class="lineno"> 495</span> </div>
<div class="line"><a id="l00496" name="l00496"></a><span class="lineno"> 496</span><a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>&amp;</div>
<div class="foldopen" id="foldopen00497" data-start="{" data-end="}">
<div class="line"><a id="l00497" name="l00497"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number.html#a32c28029a3fb2ed76e3151f626be8966"> 497</a></span><a class="code hl_function" href="classxrpl_1_1Number.html#a32c28029a3fb2ed76e3151f626be8966">Number::operator+=</a>(<a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> <span class="keyword">const</span>&amp; y)</div>
<div class="line"><a id="l00498" name="l00498"></a><span class="lineno"> 498</span>{</div>
<div class="line"><a id="l00499" name="l00499"></a><span class="lineno"> 499</span> <span class="keyword">constexpr</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> zero = <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>{};</div>
<div class="line"><a id="l00500" name="l00500"></a><span class="lineno"> 500</span> <span class="keywordflow">if</span> (y == zero)</div>
<div class="line"><a id="l00501" name="l00501"></a><span class="lineno"> 501</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00502" name="l00502"></a><span class="lineno"> 502</span> <span class="keywordflow">if</span> (*<span class="keyword">this</span> == zero)</div>
<div class="line"><a id="l00503" name="l00503"></a><span class="lineno"> 503</span> {</div>
<div class="line"><a id="l00504" name="l00504"></a><span class="lineno"> 504</span> *<span class="keyword">this</span> = y;</div>
<div class="line"><a id="l00505" name="l00505"></a><span class="lineno"> 505</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00506" name="l00506"></a><span class="lineno"> 506</span> }</div>
<div class="line"><a id="l00507" name="l00507"></a><span class="lineno"> 507</span> <span class="keywordflow">if</span> (*<span class="keyword">this</span> == -y)</div>
<div class="line"><a id="l00508" name="l00508"></a><span class="lineno"> 508</span> {</div>
<div class="line"><a id="l00509" name="l00509"></a><span class="lineno"> 509</span> *<span class="keyword">this</span> = zero;</div>
<div class="line"><a id="l00510" name="l00510"></a><span class="lineno"> 510</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00511" name="l00511"></a><span class="lineno"> 511</span> }</div>
<div class="line"><a id="l00512" name="l00512"></a><span class="lineno"> 512</span> </div>
<div class="line"><a id="l00513" name="l00513"></a><span class="lineno"> 513</span> XRPL_ASSERT(<a class="code hl_function" href="classxrpl_1_1Number.html#aa164f49489cb861950f4477b1f19a211">isnormal</a>() &amp;&amp; y.<a class="code hl_function" href="classxrpl_1_1Number.html#aa164f49489cb861950f4477b1f19a211">isnormal</a>(), <span class="stringliteral">&quot;xrpl::Number::operator+=(Number) : is normal&quot;</span>);</div>
<div class="line"><a id="l00514" name="l00514"></a><span class="lineno"> 514</span> <span class="comment">// *n = negative</span></div>
<div class="line"><a id="l00515" name="l00515"></a><span class="lineno"> 515</span> <span class="comment">// *s = sign</span></div>
<div class="line"><a id="l00516" name="l00516"></a><span class="lineno"> 516</span> <span class="comment">// *m = mantissa</span></div>
<div class="line"><a id="l00517" name="l00517"></a><span class="lineno"> 517</span> <span class="comment">// *e = exponent</span></div>
<div class="line"><a id="l00518" name="l00518"></a><span class="lineno"> 518</span> </div>
<div class="line"><a id="l00519" name="l00519"></a><span class="lineno"> 519</span> <span class="comment">// Need to use uint128_t, because large mantissas can overflow when added</span></div>
<div class="line"><a id="l00520" name="l00520"></a><span class="lineno"> 520</span> <span class="comment">// together.</span></div>
<div class="line"><a id="l00521" name="l00521"></a><span class="lineno"> 521</span> <span class="keywordtype">bool</span> xn = <a class="code hl_variable" href="classxrpl_1_1Number.html#ae6da4d1edef20960bc7d37aa0a731fe0">negative_</a>;</div>
<div class="line"><a id="l00522" name="l00522"></a><span class="lineno"> 522</span> uint128_t xm = <a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a>;</div>
<div class="line"><a id="l00523" name="l00523"></a><span class="lineno"> 523</span> <span class="keyword">auto</span> xe = <a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a>;</div>
<div class="line"><a id="l00524" name="l00524"></a><span class="lineno"> 524</span> </div>
<div class="line"><a id="l00525" name="l00525"></a><span class="lineno"> 525</span> <span class="keywordtype">bool</span> yn = y.<a class="code hl_variable" href="classxrpl_1_1Number.html#ae6da4d1edef20960bc7d37aa0a731fe0">negative_</a>;</div>
<div class="line"><a id="l00526" name="l00526"></a><span class="lineno"> 526</span> uint128_t ym = y.<a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a>;</div>
<div class="line"><a id="l00527" name="l00527"></a><span class="lineno"> 527</span> <span class="keyword">auto</span> ye = y.<a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a>;</div>
<div class="line"><a id="l00528" name="l00528"></a><span class="lineno"> 528</span> <a class="code hl_class" href="classxrpl_1_1Number_1_1Guard.html">Guard</a> g;</div>
<div class="line"><a id="l00529" name="l00529"></a><span class="lineno"> 529</span> <span class="keywordflow">if</span> (xe &lt; ye)</div>
<div class="line"><a id="l00530" name="l00530"></a><span class="lineno"> 530</span> {</div>
<div class="line"><a id="l00531" name="l00531"></a><span class="lineno"> 531</span> <span class="keywordflow">if</span> (xn)</div>
<div class="line"><a id="l00532" name="l00532"></a><span class="lineno"> 532</span> g.<a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a81424a2e84074c3ecd4cb454f359c3ee">set_negative</a>();</div>
<div class="line"><a id="l00533" name="l00533"></a><span class="lineno"> 533</span> <span class="keywordflow">do</span></div>
<div class="line"><a id="l00534" name="l00534"></a><span class="lineno"> 534</span> {</div>
<div class="line"><a id="l00535" name="l00535"></a><span class="lineno"> 535</span> g.<a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#aeeb29d02bbadd5bf87e04a4d1d203363">push</a>(xm % 10);</div>
<div class="line"><a id="l00536" name="l00536"></a><span class="lineno"> 536</span> xm /= 10;</div>
<div class="line"><a id="l00537" name="l00537"></a><span class="lineno"> 537</span> ++xe;</div>
<div class="line"><a id="l00538" name="l00538"></a><span class="lineno"> 538</span> } <span class="keywordflow">while</span> (xe &lt; ye);</div>
<div class="line"><a id="l00539" name="l00539"></a><span class="lineno"> 539</span> }</div>
<div class="line"><a id="l00540" name="l00540"></a><span class="lineno"> 540</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (xe &gt; ye)</div>
<div class="line"><a id="l00541" name="l00541"></a><span class="lineno"> 541</span> {</div>
<div class="line"><a id="l00542" name="l00542"></a><span class="lineno"> 542</span> <span class="keywordflow">if</span> (yn)</div>
<div class="line"><a id="l00543" name="l00543"></a><span class="lineno"> 543</span> g.<a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a81424a2e84074c3ecd4cb454f359c3ee">set_negative</a>();</div>
<div class="line"><a id="l00544" name="l00544"></a><span class="lineno"> 544</span> <span class="keywordflow">do</span></div>
<div class="line"><a id="l00545" name="l00545"></a><span class="lineno"> 545</span> {</div>
<div class="line"><a id="l00546" name="l00546"></a><span class="lineno"> 546</span> g.<a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#aeeb29d02bbadd5bf87e04a4d1d203363">push</a>(ym % 10);</div>
<div class="line"><a id="l00547" name="l00547"></a><span class="lineno"> 547</span> ym /= 10;</div>
<div class="line"><a id="l00548" name="l00548"></a><span class="lineno"> 548</span> ++ye;</div>
<div class="line"><a id="l00549" name="l00549"></a><span class="lineno"> 549</span> } <span class="keywordflow">while</span> (xe &gt; ye);</div>
<div class="line"><a id="l00550" name="l00550"></a><span class="lineno"> 550</span> }</div>
<div class="line"><a id="l00551" name="l00551"></a><span class="lineno"> 551</span> </div>
<div class="line"><a id="l00552" name="l00552"></a><span class="lineno"> 552</span> <span class="keyword">auto</span> <span class="keyword">const</span>&amp; <a class="code hl_function" href="namespacexrpl.html#a34fabf5c9fc5c30e86623b6a5eb0ac7d">range</a> = <a class="code hl_variable" href="classxrpl_1_1Number.html#ab2381c12707d6e7e9a7704b4733ae3af">range_</a>.get();</div>
<div class="line"><a id="l00553" name="l00553"></a><span class="lineno"> 553</span> <span class="keyword">auto</span> <span class="keyword">const</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a> = <a class="code hl_function" href="namespacexrpl.html#a34fabf5c9fc5c30e86623b6a5eb0ac7d">range</a>.min;</div>
<div class="line"><a id="l00554" name="l00554"></a><span class="lineno"> 554</span> <span class="keyword">auto</span> <span class="keyword">const</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a992a7b726b84f3e57bdba64acc107ba9">maxMantissa</a> = <a class="code hl_function" href="namespacexrpl.html#a34fabf5c9fc5c30e86623b6a5eb0ac7d">range</a>.max;</div>
<div class="line"><a id="l00555" name="l00555"></a><span class="lineno"> 555</span> </div>
<div class="line"><a id="l00556" name="l00556"></a><span class="lineno"> 556</span> <span class="keywordflow">if</span> (xn == yn)</div>
<div class="line"><a id="l00557" name="l00557"></a><span class="lineno"> 557</span> {</div>
<div class="line"><a id="l00558" name="l00558"></a><span class="lineno"> 558</span> xm += ym;</div>
<div class="line"><a id="l00559" name="l00559"></a><span class="lineno"> 559</span> <span class="keywordflow">if</span> (xm &gt; <a class="code hl_function" href="classxrpl_1_1Number.html#a992a7b726b84f3e57bdba64acc107ba9">maxMantissa</a> || xm &gt; <a class="code hl_variable" href="classxrpl_1_1Number.html#a5b91f73f5bb83bdca17bcd2378b612f8">maxRep</a>)</div>
<div class="line"><a id="l00560" name="l00560"></a><span class="lineno"> 560</span> {</div>
<div class="line"><a id="l00561" name="l00561"></a><span class="lineno"> 561</span> g.<a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#aeeb29d02bbadd5bf87e04a4d1d203363">push</a>(xm % 10);</div>
<div class="line"><a id="l00562" name="l00562"></a><span class="lineno"> 562</span> xm /= 10;</div>
<div class="line"><a id="l00563" name="l00563"></a><span class="lineno"> 563</span> ++xe;</div>
<div class="line"><a id="l00564" name="l00564"></a><span class="lineno"> 564</span> }</div>
<div class="line"><a id="l00565" name="l00565"></a><span class="lineno"> 565</span> g.<a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a1c936cf21ec79609449a3868ca013c7f">doRoundUp</a>(xn, xm, xe, <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a>, <a class="code hl_function" href="classxrpl_1_1Number.html#a992a7b726b84f3e57bdba64acc107ba9">maxMantissa</a>, <span class="stringliteral">&quot;Number::addition overflow&quot;</span>);</div>
<div class="line"><a id="l00566" name="l00566"></a><span class="lineno"> 566</span> }</div>
<div class="line"><a id="l00567" name="l00567"></a><span class="lineno"> 567</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00568" name="l00568"></a><span class="lineno"> 568</span> {</div>
<div class="line"><a id="l00569" name="l00569"></a><span class="lineno"> 569</span> <span class="keywordflow">if</span> (xm &gt; ym)</div>
<div class="line"><a id="l00570" name="l00570"></a><span class="lineno"> 570</span> {</div>
<div class="line"><a id="l00571" name="l00571"></a><span class="lineno"> 571</span> xm = xm - ym;</div>
<div class="line"><a id="l00572" name="l00572"></a><span class="lineno"> 572</span> }</div>
<div class="line"><a id="l00573" name="l00573"></a><span class="lineno"> 573</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00574" name="l00574"></a><span class="lineno"> 574</span> {</div>
<div class="line"><a id="l00575" name="l00575"></a><span class="lineno"> 575</span> xm = ym - xm;</div>
<div class="line"><a id="l00576" name="l00576"></a><span class="lineno"> 576</span> xe = ye;</div>
<div class="line"><a id="l00577" name="l00577"></a><span class="lineno"> 577</span> xn = yn;</div>
<div class="line"><a id="l00578" name="l00578"></a><span class="lineno"> 578</span> }</div>
<div class="line"><a id="l00579" name="l00579"></a><span class="lineno"> 579</span> <span class="keywordflow">while</span> (xm &lt; <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a> &amp;&amp; xm * 10 &lt;= <a class="code hl_variable" href="classxrpl_1_1Number.html#a5b91f73f5bb83bdca17bcd2378b612f8">maxRep</a>)</div>
<div class="line"><a id="l00580" name="l00580"></a><span class="lineno"> 580</span> {</div>
<div class="line"><a id="l00581" name="l00581"></a><span class="lineno"> 581</span> xm *= 10;</div>
<div class="line"><a id="l00582" name="l00582"></a><span class="lineno"> 582</span> xm -= g.<a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a1977d28778524257f10ce34f95858840">pop</a>();</div>
<div class="line"><a id="l00583" name="l00583"></a><span class="lineno"> 583</span> --xe;</div>
<div class="line"><a id="l00584" name="l00584"></a><span class="lineno"> 584</span> }</div>
<div class="line"><a id="l00585" name="l00585"></a><span class="lineno"> 585</span> g.<a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a587e49e00e7b5b36cb51a6b8df743c59">doRoundDown</a>(xn, xm, xe, <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a>);</div>
<div class="line"><a id="l00586" name="l00586"></a><span class="lineno"> 586</span> }</div>
<div class="line"><a id="l00587" name="l00587"></a><span class="lineno"> 587</span> </div>
<div class="line"><a id="l00588" name="l00588"></a><span class="lineno"> 588</span> <a class="code hl_variable" href="classxrpl_1_1Number.html#ae6da4d1edef20960bc7d37aa0a731fe0">negative_</a> = xn;</div>
<div class="line"><a id="l00589" name="l00589"></a><span class="lineno"> 589</span> <a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a> = <span class="keyword">static_cast&lt;</span><a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">internalrep</a><span class="keyword">&gt;</span>(xm);</div>
<div class="line"><a id="l00590" name="l00590"></a><span class="lineno"> 590</span> <a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a> = xe;</div>
<div class="line"><a id="l00591" name="l00591"></a><span class="lineno"> 591</span> <a class="code hl_function" href="classxrpl_1_1Number.html#ad471bfbafa5464af9c8b498e125d9873">normalize</a>();</div>
<div class="line"><a id="l00592" name="l00592"></a><span class="lineno"> 592</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00593" name="l00593"></a><span class="lineno"> 593</span>}</div>
</div>
<div class="line"><a id="l00594" name="l00594"></a><span class="lineno"> 594</span> </div>
<div class="line"><a id="l00595" name="l00595"></a><span class="lineno"> 595</span><span class="comment">// Optimization equivalent to:</span></div>
<div class="line"><a id="l00596" name="l00596"></a><span class="lineno"> 596</span><span class="comment">// auto r = static_cast&lt;unsigned&gt;(u % 10);</span></div>
<div class="line"><a id="l00597" name="l00597"></a><span class="lineno"> 597</span><span class="comment">// u /= 10;</span></div>
<div class="line"><a id="l00598" name="l00598"></a><span class="lineno"> 598</span><span class="comment">// return r;</span></div>
<div class="line"><a id="l00599" name="l00599"></a><span class="lineno"> 599</span><span class="comment">// Derived from Hacker&#39;s Delight Second Edition Chapter 10</span></div>
<div class="line"><a id="l00600" name="l00600"></a><span class="lineno"> 600</span><span class="comment">// by Henry S. Warren, Jr.</span></div>
<div class="line"><a id="l00601" name="l00601"></a><span class="lineno"> 601</span><span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">unsigned</span></div>
<div class="foldopen" id="foldopen00602" data-start="{" data-end="}">
<div class="line"><a id="l00602" name="l00602"></a><span class="lineno"><a class="line" href="namespacexrpl.html#ab9b22ee3706801318e27c69e357b9a4b"> 602</a></span><a class="code hl_function" href="namespacexrpl.html#ab9b22ee3706801318e27c69e357b9a4b">divu10</a>(uint128_t&amp; u)</div>
<div class="line"><a id="l00603" name="l00603"></a><span class="lineno"> 603</span>{</div>
<div class="line"><a id="l00604" name="l00604"></a><span class="lineno"> 604</span> <span class="comment">// q = u * 0.75</span></div>
<div class="line"><a id="l00605" name="l00605"></a><span class="lineno"> 605</span> <span class="keyword">auto</span> q = (u &gt;&gt; 1) + (u &gt;&gt; 2);</div>
<div class="line"><a id="l00606" name="l00606"></a><span class="lineno"> 606</span> <span class="comment">// iterate towards q = u * 0.8</span></div>
<div class="line"><a id="l00607" name="l00607"></a><span class="lineno"> 607</span> q += q &gt;&gt; 4;</div>
<div class="line"><a id="l00608" name="l00608"></a><span class="lineno"> 608</span> q += q &gt;&gt; 8;</div>
<div class="line"><a id="l00609" name="l00609"></a><span class="lineno"> 609</span> q += q &gt;&gt; 16;</div>
<div class="line"><a id="l00610" name="l00610"></a><span class="lineno"> 610</span> q += q &gt;&gt; 32;</div>
<div class="line"><a id="l00611" name="l00611"></a><span class="lineno"> 611</span> q += q &gt;&gt; 64;</div>
<div class="line"><a id="l00612" name="l00612"></a><span class="lineno"> 612</span> <span class="comment">// q /= 8 approximately == u / 10</span></div>
<div class="line"><a id="l00613" name="l00613"></a><span class="lineno"> 613</span> q &gt;&gt;= 3;</div>
<div class="line"><a id="l00614" name="l00614"></a><span class="lineno"> 614</span> <span class="comment">// r = u - q * 10 approximately == u % 10</span></div>
<div class="line"><a id="l00615" name="l00615"></a><span class="lineno"> 615</span> <span class="keyword">auto</span> r = <span class="keyword">static_cast&lt;</span><span class="keywordtype">unsigned</span><span class="keyword">&gt;</span>(u - ((q &lt;&lt; 3) + (q &lt;&lt; 1)));</div>
<div class="line"><a id="l00616" name="l00616"></a><span class="lineno"> 616</span> <span class="comment">// correction c is 1 if r &gt;= 10 else 0</span></div>
<div class="line"><a id="l00617" name="l00617"></a><span class="lineno"> 617</span> <span class="keyword">auto</span> c = (r + 6) &gt;&gt; 4;</div>
<div class="line"><a id="l00618" name="l00618"></a><span class="lineno"> 618</span> u = q + c;</div>
<div class="line"><a id="l00619" name="l00619"></a><span class="lineno"> 619</span> r -= c * 10;</div>
<div class="line"><a id="l00620" name="l00620"></a><span class="lineno"> 620</span> <span class="keywordflow">return</span> r;</div>
<div class="line"><a id="l00621" name="l00621"></a><span class="lineno"> 621</span>}</div>
</div>
<div class="line"><a id="l00622" name="l00622"></a><span class="lineno"> 622</span> </div>
<div class="line"><a id="l00623" name="l00623"></a><span class="lineno"> 623</span><a class="code hl_function" href="classxrpl_1_1Number.html#adbf347c98a775ae3c4bde68d36d6e36c">Number</a>&amp;</div>
<div class="foldopen" id="foldopen00624" data-start="{" data-end="}">
<div class="line"><a id="l00624" name="l00624"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number.html#ad90bfb6a56dd24246668ebe5e2a4bb95"> 624</a></span><a class="code hl_function" href="classxrpl_1_1Number.html#ad90bfb6a56dd24246668ebe5e2a4bb95">Number::operator*=</a>(<a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> <span class="keyword">const</span>&amp; y)</div>
<div class="line"><a id="l00625" name="l00625"></a><span class="lineno"> 625</span>{</div>
<div class="line"><a id="l00626" name="l00626"></a><span class="lineno"> 626</span> <span class="keyword">constexpr</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> zero = <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>{};</div>
<div class="line"><a id="l00627" name="l00627"></a><span class="lineno"> 627</span> <span class="keywordflow">if</span> (*<span class="keyword">this</span> == zero)</div>
<div class="line"><a id="l00628" name="l00628"></a><span class="lineno"> 628</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00629" name="l00629"></a><span class="lineno"> 629</span> <span class="keywordflow">if</span> (y == zero)</div>
<div class="line"><a id="l00630" name="l00630"></a><span class="lineno"> 630</span> {</div>
<div class="line"><a id="l00631" name="l00631"></a><span class="lineno"> 631</span> *<span class="keyword">this</span> = y;</div>
<div class="line"><a id="l00632" name="l00632"></a><span class="lineno"> 632</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00633" name="l00633"></a><span class="lineno"> 633</span> }</div>
<div class="line"><a id="l00634" name="l00634"></a><span class="lineno"> 634</span> <span class="comment">// *n = negative</span></div>
<div class="line"><a id="l00635" name="l00635"></a><span class="lineno"> 635</span> <span class="comment">// *s = sign</span></div>
<div class="line"><a id="l00636" name="l00636"></a><span class="lineno"> 636</span> <span class="comment">// *m = mantissa</span></div>
<div class="line"><a id="l00637" name="l00637"></a><span class="lineno"> 637</span> <span class="comment">// *e = exponent</span></div>
<div class="line"><a id="l00638" name="l00638"></a><span class="lineno"> 638</span> </div>
<div class="line"><a id="l00639" name="l00639"></a><span class="lineno"> 639</span> <span class="keywordtype">bool</span> xn = <a class="code hl_variable" href="classxrpl_1_1Number.html#ae6da4d1edef20960bc7d37aa0a731fe0">negative_</a>;</div>
<div class="line"><a id="l00640" name="l00640"></a><span class="lineno"> 640</span> <span class="keywordtype">int</span> xs = xn ? -1 : 1;</div>
<div class="line"><a id="l00641" name="l00641"></a><span class="lineno"> 641</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">internalrep</a> xm = <a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a>;</div>
<div class="line"><a id="l00642" name="l00642"></a><span class="lineno"> 642</span> <span class="keyword">auto</span> xe = <a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a>;</div>
<div class="line"><a id="l00643" name="l00643"></a><span class="lineno"> 643</span> </div>
<div class="line"><a id="l00644" name="l00644"></a><span class="lineno"> 644</span> <span class="keywordtype">bool</span> yn = y.<a class="code hl_variable" href="classxrpl_1_1Number.html#ae6da4d1edef20960bc7d37aa0a731fe0">negative_</a>;</div>
<div class="line"><a id="l00645" name="l00645"></a><span class="lineno"> 645</span> <span class="keywordtype">int</span> ys = yn ? -1 : 1;</div>
<div class="line"><a id="l00646" name="l00646"></a><span class="lineno"> 646</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">internalrep</a> ym = y.<a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a>;</div>
<div class="line"><a id="l00647" name="l00647"></a><span class="lineno"> 647</span> <span class="keyword">auto</span> ye = y.<a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a>;</div>
<div class="line"><a id="l00648" name="l00648"></a><span class="lineno"> 648</span> </div>
<div class="line"><a id="l00649" name="l00649"></a><span class="lineno"> 649</span> <span class="keyword">auto</span> zm = uint128_t(xm) * uint128_t(ym);</div>
<div class="line"><a id="l00650" name="l00650"></a><span class="lineno"> 650</span> <span class="keyword">auto</span> ze = xe + ye;</div>
<div class="line"><a id="l00651" name="l00651"></a><span class="lineno"> 651</span> <span class="keyword">auto</span> zs = xs * ys;</div>
<div class="line"><a id="l00652" name="l00652"></a><span class="lineno"> 652</span> <span class="keywordtype">bool</span> zn = (zs == -1);</div>
<div class="line"><a id="l00653" name="l00653"></a><span class="lineno"> 653</span> <a class="code hl_class" href="classxrpl_1_1Number_1_1Guard.html">Guard</a> g;</div>
<div class="line"><a id="l00654" name="l00654"></a><span class="lineno"> 654</span> <span class="keywordflow">if</span> (zn)</div>
<div class="line"><a id="l00655" name="l00655"></a><span class="lineno"> 655</span> g.<a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a81424a2e84074c3ecd4cb454f359c3ee">set_negative</a>();</div>
<div class="line"><a id="l00656" name="l00656"></a><span class="lineno"> 656</span> </div>
<div class="line"><a id="l00657" name="l00657"></a><span class="lineno"> 657</span> <span class="keyword">auto</span> <span class="keyword">const</span>&amp; <a class="code hl_function" href="namespacexrpl.html#a34fabf5c9fc5c30e86623b6a5eb0ac7d">range</a> = <a class="code hl_variable" href="classxrpl_1_1Number.html#ab2381c12707d6e7e9a7704b4733ae3af">range_</a>.get();</div>
<div class="line"><a id="l00658" name="l00658"></a><span class="lineno"> 658</span> <span class="keyword">auto</span> <span class="keyword">const</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a> = <a class="code hl_function" href="namespacexrpl.html#a34fabf5c9fc5c30e86623b6a5eb0ac7d">range</a>.min;</div>
<div class="line"><a id="l00659" name="l00659"></a><span class="lineno"> 659</span> <span class="keyword">auto</span> <span class="keyword">const</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a992a7b726b84f3e57bdba64acc107ba9">maxMantissa</a> = <a class="code hl_function" href="namespacexrpl.html#a34fabf5c9fc5c30e86623b6a5eb0ac7d">range</a>.max;</div>
<div class="line"><a id="l00660" name="l00660"></a><span class="lineno"> 660</span> </div>
<div class="line"><a id="l00661" name="l00661"></a><span class="lineno"> 661</span> <span class="keywordflow">while</span> (zm &gt; <a class="code hl_function" href="classxrpl_1_1Number.html#a992a7b726b84f3e57bdba64acc107ba9">maxMantissa</a> || zm &gt; <a class="code hl_variable" href="classxrpl_1_1Number.html#a5b91f73f5bb83bdca17bcd2378b612f8">maxRep</a>)</div>
<div class="line"><a id="l00662" name="l00662"></a><span class="lineno"> 662</span> {</div>
<div class="line"><a id="l00663" name="l00663"></a><span class="lineno"> 663</span> <span class="comment">// The following is optimization for:</span></div>
<div class="line"><a id="l00664" name="l00664"></a><span class="lineno"> 664</span> <span class="comment">// g.push(static_cast&lt;unsigned&gt;(zm % 10));</span></div>
<div class="line"><a id="l00665" name="l00665"></a><span class="lineno"> 665</span> <span class="comment">// zm /= 10;</span></div>
<div class="line"><a id="l00666" name="l00666"></a><span class="lineno"> 666</span> g.<a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#aeeb29d02bbadd5bf87e04a4d1d203363">push</a>(<a class="code hl_function" href="namespacexrpl.html#ab9b22ee3706801318e27c69e357b9a4b">divu10</a>(zm));</div>
<div class="line"><a id="l00667" name="l00667"></a><span class="lineno"> 667</span> ++ze;</div>
<div class="line"><a id="l00668" name="l00668"></a><span class="lineno"> 668</span> }</div>
<div class="line"><a id="l00669" name="l00669"></a><span class="lineno"> 669</span> xm = <span class="keyword">static_cast&lt;</span><a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">internalrep</a><span class="keyword">&gt;</span>(zm);</div>
<div class="line"><a id="l00670" name="l00670"></a><span class="lineno"> 670</span> xe = ze;</div>
<div class="line"><a id="l00671" name="l00671"></a><span class="lineno"> 671</span> g.<a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a1c936cf21ec79609449a3868ca013c7f">doRoundUp</a>(</div>
<div class="line"><a id="l00672" name="l00672"></a><span class="lineno"> 672</span> zn, xm, xe, <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a>, <a class="code hl_function" href="classxrpl_1_1Number.html#a992a7b726b84f3e57bdba64acc107ba9">maxMantissa</a>, <span class="stringliteral">&quot;Number::multiplication overflow : exponent is &quot;</span> + <a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/string/basic_string/to_string.html">std::to_string</a>(xe));</div>
<div class="line"><a id="l00673" name="l00673"></a><span class="lineno"> 673</span> <a class="code hl_variable" href="classxrpl_1_1Number.html#ae6da4d1edef20960bc7d37aa0a731fe0">negative_</a> = zn;</div>
<div class="line"><a id="l00674" name="l00674"></a><span class="lineno"> 674</span> <a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a> = xm;</div>
<div class="line"><a id="l00675" name="l00675"></a><span class="lineno"> 675</span> <a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a> = xe;</div>
<div class="line"><a id="l00676" name="l00676"></a><span class="lineno"> 676</span> </div>
<div class="line"><a id="l00677" name="l00677"></a><span class="lineno"> 677</span> <a class="code hl_function" href="classxrpl_1_1Number.html#ad471bfbafa5464af9c8b498e125d9873">normalize</a>();</div>
<div class="line"><a id="l00678" name="l00678"></a><span class="lineno"> 678</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00679" name="l00679"></a><span class="lineno"> 679</span>}</div>
</div>
<div class="line"><a id="l00680" name="l00680"></a><span class="lineno"> 680</span> </div>
<div class="line"><a id="l00681" name="l00681"></a><span class="lineno"> 681</span><a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>&amp;</div>
<div class="foldopen" id="foldopen00682" data-start="{" data-end="}">
<div class="line"><a id="l00682" name="l00682"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number.html#a2c584da7e74e5b5bb6770ad27d0ac546"> 682</a></span><a class="code hl_function" href="classxrpl_1_1Number.html#a2c584da7e74e5b5bb6770ad27d0ac546">Number::operator/=</a>(<a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> <span class="keyword">const</span>&amp; y)</div>
<div class="line"><a id="l00683" name="l00683"></a><span class="lineno"> 683</span>{</div>
<div class="line"><a id="l00684" name="l00684"></a><span class="lineno"> 684</span> <span class="keyword">constexpr</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> zero = <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>{};</div>
<div class="line"><a id="l00685" name="l00685"></a><span class="lineno"> 685</span> <span class="keywordflow">if</span> (y == zero)</div>
<div class="line"><a id="l00686" name="l00686"></a><span class="lineno"> 686</span> <span class="keywordflow">throw</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/error/overflow_error.html">std::overflow_error</a>(<span class="stringliteral">&quot;Number: divide by 0&quot;</span>);</div>
<div class="line"><a id="l00687" name="l00687"></a><span class="lineno"> 687</span> <span class="keywordflow">if</span> (*<span class="keyword">this</span> == zero)</div>
<div class="line"><a id="l00688" name="l00688"></a><span class="lineno"> 688</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00689" name="l00689"></a><span class="lineno"> 689</span> <span class="comment">// n* = numerator</span></div>
<div class="line"><a id="l00690" name="l00690"></a><span class="lineno"> 690</span> <span class="comment">// d* = denominator</span></div>
<div class="line"><a id="l00691" name="l00691"></a><span class="lineno"> 691</span> <span class="comment">// *p = negative (positive?)</span></div>
<div class="line"><a id="l00692" name="l00692"></a><span class="lineno"> 692</span> <span class="comment">// *s = sign</span></div>
<div class="line"><a id="l00693" name="l00693"></a><span class="lineno"> 693</span> <span class="comment">// *m = mantissa</span></div>
<div class="line"><a id="l00694" name="l00694"></a><span class="lineno"> 694</span> <span class="comment">// *e = exponent</span></div>
<div class="line"><a id="l00695" name="l00695"></a><span class="lineno"> 695</span> </div>
<div class="line"><a id="l00696" name="l00696"></a><span class="lineno"> 696</span> <span class="keywordtype">bool</span> np = <a class="code hl_variable" href="classxrpl_1_1Number.html#ae6da4d1edef20960bc7d37aa0a731fe0">negative_</a>;</div>
<div class="line"><a id="l00697" name="l00697"></a><span class="lineno"> 697</span> <span class="keywordtype">int</span> ns = (np ? -1 : 1);</div>
<div class="line"><a id="l00698" name="l00698"></a><span class="lineno"> 698</span> <span class="keyword">auto</span> nm = <a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a>;</div>
<div class="line"><a id="l00699" name="l00699"></a><span class="lineno"> 699</span> <span class="keyword">auto</span> ne = <a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a>;</div>
<div class="line"><a id="l00700" name="l00700"></a><span class="lineno"> 700</span> </div>
<div class="line"><a id="l00701" name="l00701"></a><span class="lineno"> 701</span> <span class="keywordtype">bool</span> dp = y.<a class="code hl_variable" href="classxrpl_1_1Number.html#ae6da4d1edef20960bc7d37aa0a731fe0">negative_</a>;</div>
<div class="line"><a id="l00702" name="l00702"></a><span class="lineno"> 702</span> <span class="keywordtype">int</span> ds = (dp ? -1 : 1);</div>
<div class="line"><a id="l00703" name="l00703"></a><span class="lineno"> 703</span> <span class="keyword">auto</span> dm = y.<a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a>;</div>
<div class="line"><a id="l00704" name="l00704"></a><span class="lineno"> 704</span> <span class="keyword">auto</span> de = y.<a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a>;</div>
<div class="line"><a id="l00705" name="l00705"></a><span class="lineno"> 705</span> </div>
<div class="line"><a id="l00706" name="l00706"></a><span class="lineno"> 706</span> <span class="keyword">auto</span> <span class="keyword">const</span>&amp; <a class="code hl_function" href="namespacexrpl.html#a34fabf5c9fc5c30e86623b6a5eb0ac7d">range</a> = <a class="code hl_variable" href="classxrpl_1_1Number.html#ab2381c12707d6e7e9a7704b4733ae3af">range_</a>.get();</div>
<div class="line"><a id="l00707" name="l00707"></a><span class="lineno"> 707</span> <span class="keyword">auto</span> <span class="keyword">const</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a> = <a class="code hl_function" href="namespacexrpl.html#a34fabf5c9fc5c30e86623b6a5eb0ac7d">range</a>.min;</div>
<div class="line"><a id="l00708" name="l00708"></a><span class="lineno"> 708</span> <span class="keyword">auto</span> <span class="keyword">const</span>&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a992a7b726b84f3e57bdba64acc107ba9">maxMantissa</a> = <a class="code hl_function" href="namespacexrpl.html#a34fabf5c9fc5c30e86623b6a5eb0ac7d">range</a>.max;</div>
<div class="line"><a id="l00709" name="l00709"></a><span class="lineno"> 709</span> </div>
<div class="line"><a id="l00710" name="l00710"></a><span class="lineno"> 710</span> <span class="comment">// Shift by 10^17 gives greatest precision while not overflowing</span></div>
<div class="line"><a id="l00711" name="l00711"></a><span class="lineno"> 711</span> <span class="comment">// uint128_t or the cast back to int64_t</span></div>
<div class="line"><a id="l00712" name="l00712"></a><span class="lineno"> 712</span> <span class="comment">// TODO: Can/should this be made bigger for largeRange?</span></div>
<div class="line"><a id="l00713" name="l00713"></a><span class="lineno"> 713</span> <span class="comment">// log(2^128,10) ~ 38.5</span></div>
<div class="line"><a id="l00714" name="l00714"></a><span class="lineno"> 714</span> <span class="comment">// largeRange.log = 18, fits in 10^19</span></div>
<div class="line"><a id="l00715" name="l00715"></a><span class="lineno"> 715</span> <span class="comment">// f can be up to 10^(38-19) = 10^19 safely</span></div>
<div class="line"><a id="l00716" name="l00716"></a><span class="lineno"> 716</span> <span class="keyword">static_assert</span>(<a class="code hl_variable" href="classxrpl_1_1Number.html#a484ed599d53a6c6f57cd6b6163dca4d6">smallRange</a>.<a class="code hl_variable" href="structxrpl_1_1MantissaRange.html#aea1c72494866d67e120bd23737080a7e">log</a> == 15);</div>
<div class="line"><a id="l00717" name="l00717"></a><span class="lineno"> 717</span> <span class="keyword">static_assert</span>(<a class="code hl_variable" href="classxrpl_1_1Number.html#ace04e61c20eedabf3ead4454049d9126">largeRange</a>.<a class="code hl_variable" href="structxrpl_1_1MantissaRange.html#aea1c72494866d67e120bd23737080a7e">log</a> == 18);</div>
<div class="line"><a id="l00718" name="l00718"></a><span class="lineno"> 718</span> <span class="keywordtype">bool</span> small = <a class="code hl_function" href="classxrpl_1_1Number.html#ac138187ff4d421f4158228642551756c">Number::getMantissaScale</a>() == <a class="code hl_enumvalue" href="structxrpl_1_1MantissaRange.html#a20f7a2bea468b1da813e45c7881e29f2a159d6fc6b77bffdac828a75a473aea42">MantissaRange::small</a>;</div>
<div class="line"><a id="l00719" name="l00719"></a><span class="lineno"> 719</span> uint128_t <span class="keyword">const</span> f = small ? 100&#39;000&#39;000&#39;000&#39;000&#39;000 : 10&#39;000&#39;000&#39;000&#39;000&#39;000&#39;000ULL;</div>
<div class="line"><a id="l00720" name="l00720"></a><span class="lineno"> 720</span> XRPL_ASSERT_PARTS(f &gt;= <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a> * 10, <span class="stringliteral">&quot;Number::operator/=&quot;</span>, <span class="stringliteral">&quot;factor expected size&quot;</span>);</div>
<div class="line"><a id="l00721" name="l00721"></a><span class="lineno"> 721</span> </div>
<div class="line"><a id="l00722" name="l00722"></a><span class="lineno"> 722</span> <span class="comment">// unsigned denominator</span></div>
<div class="line"><a id="l00723" name="l00723"></a><span class="lineno"> 723</span> <span class="keyword">auto</span> <span class="keyword">const</span> dmu = <span class="keyword">static_cast&lt;</span>uint128_t<span class="keyword">&gt;</span>(dm);</div>
<div class="line"><a id="l00724" name="l00724"></a><span class="lineno"> 724</span> <span class="comment">// correctionFactor can be anything between 10 and f, depending on how much</span></div>
<div class="line"><a id="l00725" name="l00725"></a><span class="lineno"> 725</span> <span class="comment">// extra precision we want to only use for rounding with the</span></div>
<div class="line"><a id="l00726" name="l00726"></a><span class="lineno"> 726</span> <span class="comment">// largeRange. Three digits seems like plenty, and is more than</span></div>
<div class="line"><a id="l00727" name="l00727"></a><span class="lineno"> 727</span> <span class="comment">// the smallRange uses.</span></div>
<div class="line"><a id="l00728" name="l00728"></a><span class="lineno"> 728</span> uint128_t <span class="keyword">const</span> correctionFactor = 1&#39;000;</div>
<div class="line"><a id="l00729" name="l00729"></a><span class="lineno"> 729</span> </div>
<div class="line"><a id="l00730" name="l00730"></a><span class="lineno"> 730</span> <span class="keyword">auto</span> <span class="keyword">const</span> numerator = uint128_t(nm) * f;</div>
<div class="line"><a id="l00731" name="l00731"></a><span class="lineno"> 731</span> </div>
<div class="line"><a id="l00732" name="l00732"></a><span class="lineno"> 732</span> <span class="keyword">auto</span> zm = numerator / dmu;</div>
<div class="line"><a id="l00733" name="l00733"></a><span class="lineno"> 733</span> <span class="keyword">auto</span> ze = ne - de - (small ? 17 : 19);</div>
<div class="line"><a id="l00734" name="l00734"></a><span class="lineno"> 734</span> <span class="keywordtype">bool</span> zn = (ns * ds) &lt; 0;</div>
<div class="line"><a id="l00735" name="l00735"></a><span class="lineno"> 735</span> <span class="keywordflow">if</span> (!small)</div>
<div class="line"><a id="l00736" name="l00736"></a><span class="lineno"> 736</span> {</div>
<div class="line"><a id="l00737" name="l00737"></a><span class="lineno"> 737</span> <span class="comment">// Virtually multiply numerator by correctionFactor. Since that would</span></div>
<div class="line"><a id="l00738" name="l00738"></a><span class="lineno"> 738</span> <span class="comment">// overflow in the existing uint128_t, we&#39;ll do that part separately.</span></div>
<div class="line"><a id="l00739" name="l00739"></a><span class="lineno"> 739</span> <span class="comment">// The math for this would work for small mantissas, but we need to</span></div>
<div class="line"><a id="l00740" name="l00740"></a><span class="lineno"> 740</span> <span class="comment">// preserve existing behavior.</span></div>
<div class="line"><a id="l00741" name="l00741"></a><span class="lineno"> 741</span> <span class="comment">//</span></div>
<div class="line"><a id="l00742" name="l00742"></a><span class="lineno"> 742</span> <span class="comment">// Consider:</span></div>
<div class="line"><a id="l00743" name="l00743"></a><span class="lineno"> 743</span> <span class="comment">// ((numerator * correctionFactor) / dmu) / correctionFactor</span></div>
<div class="line"><a id="l00744" name="l00744"></a><span class="lineno"> 744</span> <span class="comment">// = ((numerator / dmu) * correctionFactor) / correctionFactor)</span></div>
<div class="line"><a id="l00745" name="l00745"></a><span class="lineno"> 745</span> <span class="comment">//</span></div>
<div class="line"><a id="l00746" name="l00746"></a><span class="lineno"> 746</span> <span class="comment">// But that assumes infinite precision. With integer math, this is</span></div>
<div class="line"><a id="l00747" name="l00747"></a><span class="lineno"> 747</span> <span class="comment">// equivalent to</span></div>
<div class="line"><a id="l00748" name="l00748"></a><span class="lineno"> 748</span> <span class="comment">//</span></div>
<div class="line"><a id="l00749" name="l00749"></a><span class="lineno"> 749</span> <span class="comment">// = ((numerator / dmu * correctionFactor)</span></div>
<div class="line"><a id="l00750" name="l00750"></a><span class="lineno"> 750</span> <span class="comment">// + ((numerator % dmu) * correctionFactor) / dmu) / correctionFactor</span></div>
<div class="line"><a id="l00751" name="l00751"></a><span class="lineno"> 751</span> <span class="comment">//</span></div>
<div class="line"><a id="l00752" name="l00752"></a><span class="lineno"> 752</span> <span class="comment">// We have already set `mantissa_ = numerator / dmu`. Now we</span></div>
<div class="line"><a id="l00753" name="l00753"></a><span class="lineno"> 753</span> <span class="comment">// compute `remainder = numerator % dmu`, and if it is</span></div>
<div class="line"><a id="l00754" name="l00754"></a><span class="lineno"> 754</span> <span class="comment">// nonzero, we do the rest of the arithmetic. If it&#39;s zero, we can skip</span></div>
<div class="line"><a id="l00755" name="l00755"></a><span class="lineno"> 755</span> <span class="comment">// it.</span></div>
<div class="line"><a id="l00756" name="l00756"></a><span class="lineno"> 756</span> <span class="keyword">auto</span> <span class="keyword">const</span> remainder = (numerator % dmu);</div>
<div class="line"><a id="l00757" name="l00757"></a><span class="lineno"> 757</span> <span class="keywordflow">if</span> (remainder != 0)</div>
<div class="line"><a id="l00758" name="l00758"></a><span class="lineno"> 758</span> {</div>
<div class="line"><a id="l00759" name="l00759"></a><span class="lineno"> 759</span> zm *= correctionFactor;</div>
<div class="line"><a id="l00760" name="l00760"></a><span class="lineno"> 760</span> <span class="keyword">auto</span> <span class="keyword">const</span> correction = remainder * correctionFactor / dmu;</div>
<div class="line"><a id="l00761" name="l00761"></a><span class="lineno"> 761</span> zm += correction;</div>
<div class="line"><a id="l00762" name="l00762"></a><span class="lineno"> 762</span> <span class="comment">// divide by 1000 by moving the exponent, so we don&#39;t lose the</span></div>
<div class="line"><a id="l00763" name="l00763"></a><span class="lineno"> 763</span> <span class="comment">// integer value we just computed</span></div>
<div class="line"><a id="l00764" name="l00764"></a><span class="lineno"> 764</span> ze -= 3;</div>
<div class="line"><a id="l00765" name="l00765"></a><span class="lineno"> 765</span> }</div>
<div class="line"><a id="l00766" name="l00766"></a><span class="lineno"> 766</span> }</div>
<div class="line"><a id="l00767" name="l00767"></a><span class="lineno"> 767</span> <a class="code hl_function" href="classxrpl_1_1Number.html#ad471bfbafa5464af9c8b498e125d9873">normalize</a>(zn, zm, ze, <a class="code hl_function" href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">minMantissa</a>, <a class="code hl_function" href="classxrpl_1_1Number.html#a992a7b726b84f3e57bdba64acc107ba9">maxMantissa</a>);</div>
<div class="line"><a id="l00768" name="l00768"></a><span class="lineno"> 768</span> <a class="code hl_variable" href="classxrpl_1_1Number.html#ae6da4d1edef20960bc7d37aa0a731fe0">negative_</a> = zn;</div>
<div class="line"><a id="l00769" name="l00769"></a><span class="lineno"> 769</span> <a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a> = <span class="keyword">static_cast&lt;</span><a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">internalrep</a><span class="keyword">&gt;</span>(zm);</div>
<div class="line"><a id="l00770" name="l00770"></a><span class="lineno"> 770</span> <a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a> = ze;</div>
<div class="line"><a id="l00771" name="l00771"></a><span class="lineno"> 771</span> XRPL_ASSERT_PARTS(<a class="code hl_function" href="classxrpl_1_1Number.html#aa164f49489cb861950f4477b1f19a211">isnormal</a>(), <span class="stringliteral">&quot;xrpl::Number::operator/=&quot;</span>, <span class="stringliteral">&quot;result is normalized&quot;</span>);</div>
<div class="line"><a id="l00772" name="l00772"></a><span class="lineno"> 772</span> </div>
<div class="line"><a id="l00773" name="l00773"></a><span class="lineno"> 773</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00774" name="l00774"></a><span class="lineno"> 774</span>}</div>
</div>
<div class="line"><a id="l00775" name="l00775"></a><span class="lineno"> 775</span> </div>
<div class="foldopen" id="foldopen00776" data-start="{" data-end="}">
<div class="line"><a id="l00776" name="l00776"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number.html#a26f0b9ae0cd8c2dfcc37371fa46336f1"> 776</a></span>Number::operator <a class="code hl_typedef" href="classxrpl_1_1Number.html#a3e899a2315bdca222c4f12e8a244c281">rep</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00777" name="l00777"></a><span class="lineno"> 777</span><span class="keyword"></span>{</div>
<div class="line"><a id="l00778" name="l00778"></a><span class="lineno"> 778</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">rep</a> drops = <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a>();</div>
<div class="line"><a id="l00779" name="l00779"></a><span class="lineno"> 779</span> <span class="keywordtype">int</span> offset = <a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a>();</div>
<div class="line"><a id="l00780" name="l00780"></a><span class="lineno"> 780</span> <a class="code hl_class" href="classxrpl_1_1Number_1_1Guard.html">Guard</a> g;</div>
<div class="line"><a id="l00781" name="l00781"></a><span class="lineno"> 781</span> <span class="keywordflow">if</span> (drops != 0)</div>
<div class="line"><a id="l00782" name="l00782"></a><span class="lineno"> 782</span> {</div>
<div class="line"><a id="l00783" name="l00783"></a><span class="lineno"> 783</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="classxrpl_1_1Number.html#ae6da4d1edef20960bc7d37aa0a731fe0">negative_</a>)</div>
<div class="line"><a id="l00784" name="l00784"></a><span class="lineno"> 784</span> {</div>
<div class="line"><a id="l00785" name="l00785"></a><span class="lineno"> 785</span> g.<a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a81424a2e84074c3ecd4cb454f359c3ee">set_negative</a>();</div>
<div class="line"><a id="l00786" name="l00786"></a><span class="lineno"> 786</span> drops = -drops;</div>
<div class="line"><a id="l00787" name="l00787"></a><span class="lineno"> 787</span> }</div>
<div class="line"><a id="l00788" name="l00788"></a><span class="lineno"> 788</span> <span class="keywordflow">for</span> (; offset &lt; 0; ++offset)</div>
<div class="line"><a id="l00789" name="l00789"></a><span class="lineno"> 789</span> {</div>
<div class="line"><a id="l00790" name="l00790"></a><span class="lineno"> 790</span> g.<a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#aeeb29d02bbadd5bf87e04a4d1d203363">push</a>(drops % 10);</div>
<div class="line"><a id="l00791" name="l00791"></a><span class="lineno"> 791</span> drops /= 10;</div>
<div class="line"><a id="l00792" name="l00792"></a><span class="lineno"> 792</span> }</div>
<div class="line"><a id="l00793" name="l00793"></a><span class="lineno"> 793</span> <span class="keywordflow">for</span> (; offset &gt; 0; --offset)</div>
<div class="line"><a id="l00794" name="l00794"></a><span class="lineno"> 794</span> {</div>
<div class="line"><a id="l00795" name="l00795"></a><span class="lineno"> 795</span> <span class="keywordflow">if</span> (drops &gt; <a class="code hl_variable" href="classxrpl_1_1Number.html#a5b91f73f5bb83bdca17bcd2378b612f8">maxRep</a> / 10)</div>
<div class="line"><a id="l00796" name="l00796"></a><span class="lineno"> 796</span> <span class="keywordflow">throw</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/error/overflow_error.html">std::overflow_error</a>(<span class="stringliteral">&quot;Number::operator rep() overflow&quot;</span>);</div>
<div class="line"><a id="l00797" name="l00797"></a><span class="lineno"> 797</span> drops *= 10;</div>
<div class="line"><a id="l00798" name="l00798"></a><span class="lineno"> 798</span> }</div>
<div class="line"><a id="l00799" name="l00799"></a><span class="lineno"> 799</span> g.<a class="code hl_function" href="classxrpl_1_1Number_1_1Guard.html#a55bc76505e3a34a0d50baa1c7eeae19c">doRound</a>(drops, <span class="stringliteral">&quot;Number::operator rep() rounding overflow&quot;</span>);</div>
<div class="line"><a id="l00800" name="l00800"></a><span class="lineno"> 800</span> }</div>
<div class="line"><a id="l00801" name="l00801"></a><span class="lineno"> 801</span> <span class="keywordflow">return</span> drops;</div>
<div class="line"><a id="l00802" name="l00802"></a><span class="lineno"> 802</span>}</div>
</div>
<div class="line"><a id="l00803" name="l00803"></a><span class="lineno"> 803</span> </div>
<div class="line"><a id="l00804" name="l00804"></a><span class="lineno"> 804</span><a class="code hl_class" href="classxrpl_1_1Number.html">Number</a></div>
<div class="foldopen" id="foldopen00805" data-start="{" data-end="}">
<div class="line"><a id="l00805" name="l00805"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number.html#a3d6e8e71ee3641f8d21041d3ade5aed0"> 805</a></span><a class="code hl_function" href="classxrpl_1_1Number.html#a3d6e8e71ee3641f8d21041d3ade5aed0">Number::truncate</a>() const noexcept</div>
<div class="line"><a id="l00806" name="l00806"></a><span class="lineno"> 806</span>{</div>
<div class="line"><a id="l00807" name="l00807"></a><span class="lineno"> 807</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a> &gt;= 0 || <a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a> == 0)</div>
<div class="line"><a id="l00808" name="l00808"></a><span class="lineno"> 808</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00809" name="l00809"></a><span class="lineno"> 809</span> </div>
<div class="line"><a id="l00810" name="l00810"></a><span class="lineno"> 810</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> ret = *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00811" name="l00811"></a><span class="lineno"> 811</span> <span class="keywordflow">while</span> (ret.<a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a> &lt; 0 &amp;&amp; ret.<a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a> != 0)</div>
<div class="line"><a id="l00812" name="l00812"></a><span class="lineno"> 812</span> {</div>
<div class="line"><a id="l00813" name="l00813"></a><span class="lineno"> 813</span> ret.<a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a> += 1;</div>
<div class="line"><a id="l00814" name="l00814"></a><span class="lineno"> 814</span> ret.<a class="code hl_variable" href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">mantissa_</a> /= <a class="code hl_typedef" href="classxrpl_1_1Number.html#a3e899a2315bdca222c4f12e8a244c281">rep</a>(10);</div>
<div class="line"><a id="l00815" name="l00815"></a><span class="lineno"> 815</span> }</div>
<div class="line"><a id="l00816" name="l00816"></a><span class="lineno"> 816</span> <span class="comment">// We are guaranteed that normalize() will never throw an exception</span></div>
<div class="line"><a id="l00817" name="l00817"></a><span class="lineno"> 817</span> <span class="comment">// because exponent is either negative or zero at this point.</span></div>
<div class="line"><a id="l00818" name="l00818"></a><span class="lineno"> 818</span> ret.<a class="code hl_function" href="classxrpl_1_1Number.html#ad471bfbafa5464af9c8b498e125d9873">normalize</a>();</div>
<div class="line"><a id="l00819" name="l00819"></a><span class="lineno"> 819</span> <span class="keywordflow">return</span> ret;</div>
<div class="line"><a id="l00820" name="l00820"></a><span class="lineno"> 820</span>}</div>
</div>
<div class="line"><a id="l00821" name="l00821"></a><span class="lineno"> 821</span> </div>
<div class="line"><a id="l00822" name="l00822"></a><span class="lineno"> 822</span><a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a></div>
<div class="foldopen" id="foldopen00823" data-start="{" data-end="};">
<div class="line"><a id="l00823" name="l00823"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number.html#a3f93a0fd9a95f114e3ab7d12ea0a1f7d"> 823</a></span><a class="code hl_friend" href="classxrpl_1_1Number.html#a3f93a0fd9a95f114e3ab7d12ea0a1f7d">to_string</a>(<a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> <span class="keyword">const</span>&amp; amount)</div>
<div class="line"><a id="l00824" name="l00824"></a><span class="lineno"> 824</span>{</div>
<div class="line"><a id="l00825" name="l00825"></a><span class="lineno"> 825</span> <span class="comment">// keep full internal accuracy, but make more human friendly if possible</span></div>
<div class="line"><a id="l00826" name="l00826"></a><span class="lineno"> 826</span> <span class="keyword">constexpr</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> zero = <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>{};</div>
<div class="line"><a id="l00827" name="l00827"></a><span class="lineno"> 827</span> <span class="keywordflow">if</span> (amount == zero)</div>
<div class="line"><a id="l00828" name="l00828"></a><span class="lineno"> 828</span> <span class="keywordflow">return</span> <span class="stringliteral">&quot;0&quot;</span>;</div>
<div class="line"><a id="l00829" name="l00829"></a><span class="lineno"> 829</span> </div>
<div class="line"><a id="l00830" name="l00830"></a><span class="lineno"> 830</span> <span class="keyword">auto</span> <a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a> = amount.exponent_;</div>
<div class="line"><a id="l00831" name="l00831"></a><span class="lineno"> 831</span> <span class="keyword">auto</span> <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a> = amount.mantissa_;</div>
<div class="line"><a id="l00832" name="l00832"></a><span class="lineno"> 832</span> <span class="keywordtype">bool</span> <span class="keyword">const</span> negative = amount.negative_;</div>
<div class="line"><a id="l00833" name="l00833"></a><span class="lineno"> 833</span> </div>
<div class="line"><a id="l00834" name="l00834"></a><span class="lineno"> 834</span> <span class="comment">// Use scientific notation for exponents that are too small or too large</span></div>
<div class="line"><a id="l00835" name="l00835"></a><span class="lineno"> 835</span> <span class="keyword">auto</span> <span class="keyword">const</span> rangeLog = <a class="code hl_function" href="classxrpl_1_1Number.html#ae9df36fbc7e4a5663ce40454d30999ce">Number::mantissaLog</a>();</div>
<div class="line"><a id="l00836" name="l00836"></a><span class="lineno"> 836</span> <span class="keywordflow">if</span> (((<a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a> != 0) &amp;&amp; ((<a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a> &lt; -(rangeLog + 10)) || (<a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a> &gt; -(rangeLog - 10)))))</div>
<div class="line"><a id="l00837" name="l00837"></a><span class="lineno"> 837</span> {</div>
<div class="line"><a id="l00838" name="l00838"></a><span class="lineno"> 838</span> <span class="keywordflow">while</span> (<a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a> != 0 &amp;&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a> % 10 == 0 &amp;&amp; <a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a> &lt; <a class="code hl_variable" href="classxrpl_1_1Number.html#aa41a4f7784291ffd76634c7fc567f6fb">Number::maxExponent</a>)</div>
<div class="line"><a id="l00839" name="l00839"></a><span class="lineno"> 839</span> {</div>
<div class="line"><a id="l00840" name="l00840"></a><span class="lineno"> 840</span> <a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a> /= 10;</div>
<div class="line"><a id="l00841" name="l00841"></a><span class="lineno"> 841</span> ++<a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a>;</div>
<div class="line"><a id="l00842" name="l00842"></a><span class="lineno"> 842</span> }</div>
<div class="line"><a id="l00843" name="l00843"></a><span class="lineno"> 843</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> ret = negative ? <span class="stringliteral">&quot;-&quot;</span> : <span class="stringliteral">&quot;&quot;</span>;</div>
<div class="line"><a id="l00844" name="l00844"></a><span class="lineno"> 844</span> ret.<a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/string/basic_string/append.html">append</a>(<a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/string/basic_string/to_string.html">std::to_string</a>(<a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a>));</div>
<div class="line"><a id="l00845" name="l00845"></a><span class="lineno"> 845</span> ret.<a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/string/basic_string/append.html">append</a>(1, <span class="charliteral">&#39;e&#39;</span>);</div>
<div class="line"><a id="l00846" name="l00846"></a><span class="lineno"> 846</span> ret.<a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/string/basic_string/append.html">append</a>(<a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/string/basic_string/to_string.html">std::to_string</a>(<a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a>));</div>
<div class="line"><a id="l00847" name="l00847"></a><span class="lineno"> 847</span> <span class="keywordflow">return</span> ret;</div>
<div class="line"><a id="l00848" name="l00848"></a><span class="lineno"> 848</span> }</div>
<div class="line"><a id="l00849" name="l00849"></a><span class="lineno"> 849</span> </div>
<div class="line"><a id="l00850" name="l00850"></a><span class="lineno"> 850</span> XRPL_ASSERT(<a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a> + 43 &gt; 0, <span class="stringliteral">&quot;xrpl::to_string(Number) : minimum exponent&quot;</span>);</div>
<div class="line"><a id="l00851" name="l00851"></a><span class="lineno"> 851</span> </div>
<div class="line"><a id="l00852" name="l00852"></a><span class="lineno"> 852</span> ptrdiff_t <span class="keyword">const</span> pad_prefix = rangeLog + 12;</div>
<div class="line"><a id="l00853" name="l00853"></a><span class="lineno"> 853</span> ptrdiff_t <span class="keyword">const</span> pad_suffix = rangeLog + 8;</div>
<div class="line"><a id="l00854" name="l00854"></a><span class="lineno"> 854</span> </div>
<div class="line"><a id="l00855" name="l00855"></a><span class="lineno"> 855</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> <span class="keyword">const</span> raw_value(<a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/string/basic_string/to_string.html">std::to_string</a>(<a class="code hl_function" href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">mantissa</a>));</div>
<div class="line"><a id="l00856" name="l00856"></a><span class="lineno"> 856</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> val;</div>
<div class="line"><a id="l00857" name="l00857"></a><span class="lineno"> 857</span> </div>
<div class="line"><a id="l00858" name="l00858"></a><span class="lineno"> 858</span> val.<a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/string/basic_string/reserve.html">reserve</a>(raw_value.<a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">length</a>() + pad_prefix + pad_suffix);</div>
<div class="line"><a id="l00859" name="l00859"></a><span class="lineno"> 859</span> val.<a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/string/basic_string/append.html">append</a>(pad_prefix, <span class="charliteral">&#39;0&#39;</span>);</div>
<div class="line"><a id="l00860" name="l00860"></a><span class="lineno"> 860</span> val.<a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/string/basic_string/append.html">append</a>(raw_value);</div>
<div class="line"><a id="l00861" name="l00861"></a><span class="lineno"> 861</span> val.<a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/string/basic_string/append.html">append</a>(pad_suffix, <span class="charliteral">&#39;0&#39;</span>);</div>
<div class="line"><a id="l00862" name="l00862"></a><span class="lineno"> 862</span> </div>
<div class="line"><a id="l00863" name="l00863"></a><span class="lineno"> 863</span> ptrdiff_t <span class="keyword">const</span> offset(<a class="code hl_function" href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">exponent</a> + pad_prefix + rangeLog + 1);</div>
<div class="line"><a id="l00864" name="l00864"></a><span class="lineno"> 864</span> </div>
<div class="line"><a id="l00865" name="l00865"></a><span class="lineno"> 865</span> <span class="keyword">auto</span> pre_from(val.<a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/string/basic_string/begin.html">begin</a>());</div>
<div class="line"><a id="l00866" name="l00866"></a><span class="lineno"> 866</span> <span class="keyword">auto</span> <span class="keyword">const</span> pre_to(val.<a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/string/basic_string/begin.html">begin</a>() + offset);</div>
<div class="line"><a id="l00867" name="l00867"></a><span class="lineno"> 867</span> </div>
<div class="line"><a id="l00868" name="l00868"></a><span class="lineno"> 868</span> <span class="keyword">auto</span> <span class="keyword">const</span> post_from(val.<a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/string/basic_string/begin.html">begin</a>() + offset);</div>
<div class="line"><a id="l00869" name="l00869"></a><span class="lineno"> 869</span> <span class="keyword">auto</span> post_to(val.<a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/string/basic_string/end.html">end</a>());</div>
<div class="line"><a id="l00870" name="l00870"></a><span class="lineno"> 870</span> </div>
<div class="line"><a id="l00871" name="l00871"></a><span class="lineno"> 871</span> <span class="comment">// Crop leading zeroes. Take advantage of the fact that there&#39;s always a</span></div>
<div class="line"><a id="l00872" name="l00872"></a><span class="lineno"> 872</span> <span class="comment">// fixed amount of leading zeroes and skip them.</span></div>
<div class="line"><a id="l00873" name="l00873"></a><span class="lineno"> 873</span> <span class="keywordflow">if</span> (<a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/iterator/distance.html">std::distance</a>(pre_from, pre_to) &gt; pad_prefix)</div>
<div class="line"><a id="l00874" name="l00874"></a><span class="lineno"> 874</span> pre_from += pad_prefix;</div>
<div class="line"><a id="l00875" name="l00875"></a><span class="lineno"> 875</span> </div>
<div class="line"><a id="l00876" name="l00876"></a><span class="lineno"> 876</span> XRPL_ASSERT(post_to &gt;= post_from, <span class="stringliteral">&quot;xrpl::to_string(Number) : first distance check&quot;</span>);</div>
<div class="line"><a id="l00877" name="l00877"></a><span class="lineno"> 877</span> </div>
<div class="line"><a id="l00878" name="l00878"></a><span class="lineno"> 878</span> pre_from = <a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/algorithm/find.html">std::find_if</a>(pre_from, pre_to, [](<span class="keywordtype">char</span> c) { <span class="keywordflow">return</span> c != <span class="charliteral">&#39;0&#39;</span>; });</div>
<div class="line"><a id="l00879" name="l00879"></a><span class="lineno"> 879</span> </div>
<div class="line"><a id="l00880" name="l00880"></a><span class="lineno"> 880</span> <span class="comment">// Crop trailing zeroes. Take advantage of the fact that there&#39;s always a</span></div>
<div class="line"><a id="l00881" name="l00881"></a><span class="lineno"> 881</span> <span class="comment">// fixed amount of trailing zeroes and skip them.</span></div>
<div class="line"><a id="l00882" name="l00882"></a><span class="lineno"> 882</span> <span class="keywordflow">if</span> (<a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/iterator/distance.html">std::distance</a>(post_from, post_to) &gt; pad_suffix)</div>
<div class="line"><a id="l00883" name="l00883"></a><span class="lineno"> 883</span> post_to -= pad_suffix;</div>
<div class="line"><a id="l00884" name="l00884"></a><span class="lineno"> 884</span> </div>
<div class="line"><a id="l00885" name="l00885"></a><span class="lineno"> 885</span> XRPL_ASSERT(post_to &gt;= post_from, <span class="stringliteral">&quot;xrpl::to_string(Number) : second distance check&quot;</span>);</div>
<div class="line"><a id="l00886" name="l00886"></a><span class="lineno"> 886</span> </div>
<div class="line"><a id="l00887" name="l00887"></a><span class="lineno"> 887</span> post_to = <a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/algorithm/find.html">std::find_if</a>(<a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/iterator/make_reverse_iterator.html">std::make_reverse_iterator</a>(post_to), <a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/iterator/make_reverse_iterator.html">std::make_reverse_iterator</a>(post_from), [](<span class="keywordtype">char</span> c) {</div>
<div class="line"><a id="l00888" name="l00888"></a><span class="lineno"> 888</span> <span class="keywordflow">return</span> c != <span class="charliteral">&#39;0&#39;</span>;</div>
<div class="line"><a id="l00889" name="l00889"></a><span class="lineno"> 889</span> }).base();</div>
<div class="line"><a id="l00890" name="l00890"></a><span class="lineno"> 890</span> </div>
<div class="line"><a id="l00891" name="l00891"></a><span class="lineno"> 891</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> ret;</div>
<div class="line"><a id="l00892" name="l00892"></a><span class="lineno"> 892</span> </div>
<div class="line"><a id="l00893" name="l00893"></a><span class="lineno"> 893</span> <span class="keywordflow">if</span> (negative)</div>
<div class="line"><a id="l00894" name="l00894"></a><span class="lineno"> 894</span> ret.<a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/string/basic_string/append.html">append</a>(1, <span class="charliteral">&#39;-&#39;</span>);</div>
<div class="line"><a id="l00895" name="l00895"></a><span class="lineno"> 895</span> </div>
<div class="line"><a id="l00896" name="l00896"></a><span class="lineno"> 896</span> <span class="comment">// Assemble the output:</span></div>
<div class="line"><a id="l00897" name="l00897"></a><span class="lineno"> 897</span> <span class="keywordflow">if</span> (pre_from == pre_to)</div>
<div class="line"><a id="l00898" name="l00898"></a><span class="lineno"> 898</span> ret.<a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/string/basic_string/append.html">append</a>(1, <span class="charliteral">&#39;0&#39;</span>);</div>
<div class="line"><a id="l00899" name="l00899"></a><span class="lineno"> 899</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00900" name="l00900"></a><span class="lineno"> 900</span> ret.<a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/string/basic_string/append.html">append</a>(pre_from, pre_to);</div>
<div class="line"><a id="l00901" name="l00901"></a><span class="lineno"> 901</span> </div>
<div class="line"><a id="l00902" name="l00902"></a><span class="lineno"> 902</span> <span class="keywordflow">if</span> (post_to != post_from)</div>
<div class="line"><a id="l00903" name="l00903"></a><span class="lineno"> 903</span> {</div>
<div class="line"><a id="l00904" name="l00904"></a><span class="lineno"> 904</span> ret.<a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/string/basic_string/append.html">append</a>(1, <span class="charliteral">&#39;.&#39;</span>);</div>
<div class="line"><a id="l00905" name="l00905"></a><span class="lineno"> 905</span> ret.<a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/string/basic_string/append.html">append</a>(post_from, post_to);</div>
<div class="line"><a id="l00906" name="l00906"></a><span class="lineno"> 906</span> }</div>
<div class="line"><a id="l00907" name="l00907"></a><span class="lineno"> 907</span> </div>
<div class="line"><a id="l00908" name="l00908"></a><span class="lineno"> 908</span> <span class="keywordflow">return</span> ret;</div>
<div class="line"><a id="l00909" name="l00909"></a><span class="lineno"> 909</span>}</div>
</div>
<div class="line"><a id="l00910" name="l00910"></a><span class="lineno"> 910</span> </div>
<div class="line"><a id="l00911" name="l00911"></a><span class="lineno"> 911</span><span class="comment">// Returns f^n</span></div>
<div class="line"><a id="l00912" name="l00912"></a><span class="lineno"> 912</span><span class="comment">// Uses a log_2(n) number of multiplications</span></div>
<div class="line"><a id="l00913" name="l00913"></a><span class="lineno"> 913</span> </div>
<div class="line"><a id="l00914" name="l00914"></a><span class="lineno"> 914</span><a class="code hl_class" href="classxrpl_1_1Number.html">Number</a></div>
<div class="foldopen" id="foldopen00915" data-start="{" data-end="}">
<div class="line"><a id="l00915" name="l00915"></a><span class="lineno"><a class="line" href="namespacexrpl.html#a5dcb604ca5c6c6fdde47b8d7c20bec54"> 915</a></span><a class="code hl_function" href="namespacexrpl.html#a5dcb604ca5c6c6fdde47b8d7c20bec54">power</a>(<a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> <span class="keyword">const</span>&amp; f, <span class="keywordtype">unsigned</span> n)</div>
<div class="line"><a id="l00916" name="l00916"></a><span class="lineno"> 916</span>{</div>
<div class="line"><a id="l00917" name="l00917"></a><span class="lineno"> 917</span> <span class="keywordflow">if</span> (n == 0)</div>
<div class="line"><a id="l00918" name="l00918"></a><span class="lineno"> 918</span> <span class="keywordflow">return</span> <a class="code hl_function" href="classxrpl_1_1Number.html#ad7b3dcf0314ef5327550516bdb1fa7d2">Number::one</a>();</div>
<div class="line"><a id="l00919" name="l00919"></a><span class="lineno"> 919</span> <span class="keywordflow">if</span> (n == 1)</div>
<div class="line"><a id="l00920" name="l00920"></a><span class="lineno"> 920</span> <span class="keywordflow">return</span> f;</div>
<div class="line"><a id="l00921" name="l00921"></a><span class="lineno"> 921</span> <span class="keyword">auto</span> r = <a class="code hl_function" href="namespacexrpl.html#a5dcb604ca5c6c6fdde47b8d7c20bec54">power</a>(f, n / 2);</div>
<div class="line"><a id="l00922" name="l00922"></a><span class="lineno"> 922</span> r *= r;</div>
<div class="line"><a id="l00923" name="l00923"></a><span class="lineno"> 923</span> <span class="keywordflow">if</span> (n % 2 != 0)</div>
<div class="line"><a id="l00924" name="l00924"></a><span class="lineno"> 924</span> r *= f;</div>
<div class="line"><a id="l00925" name="l00925"></a><span class="lineno"> 925</span> <span class="keywordflow">return</span> r;</div>
<div class="line"><a id="l00926" name="l00926"></a><span class="lineno"> 926</span>}</div>
</div>
<div class="line"><a id="l00927" name="l00927"></a><span class="lineno"> 927</span> </div>
<div class="line"><a id="l00928" name="l00928"></a><span class="lineno"> 928</span><span class="comment">// Returns f^(1/d)</span></div>
<div class="line"><a id="l00929" name="l00929"></a><span class="lineno"> 929</span><span class="comment">// Uses Newton–Raphson iterations until the result stops changing</span></div>
<div class="line"><a id="l00930" name="l00930"></a><span class="lineno"> 930</span><span class="comment">// to find the non-negative root of the polynomial g(x) = x^d - f</span></div>
<div class="line"><a id="l00931" name="l00931"></a><span class="lineno"> 931</span> </div>
<div class="line"><a id="l00932" name="l00932"></a><span class="lineno"> 932</span><span class="comment">// This function, and power(Number f, unsigned n, unsigned d)</span></div>
<div class="line"><a id="l00933" name="l00933"></a><span class="lineno"> 933</span><span class="comment">// treat corner cases such as 0 roots as advised by Annex F of</span></div>
<div class="line"><a id="l00934" name="l00934"></a><span class="lineno"> 934</span><span class="comment">// the C standard, which itself is consistent with the IEEE</span></div>
<div class="line"><a id="l00935" name="l00935"></a><span class="lineno"> 935</span><span class="comment">// floating point standards.</span></div>
<div class="line"><a id="l00936" name="l00936"></a><span class="lineno"> 936</span> </div>
<div class="line"><a id="l00937" name="l00937"></a><span class="lineno"> 937</span><a class="code hl_function" href="classxrpl_1_1Number.html#adbf347c98a775ae3c4bde68d36d6e36c">Number</a></div>
<div class="foldopen" id="foldopen00938" data-start="{" data-end="};">
<div class="line"><a id="l00938" name="l00938"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number.html#af59083b29186c11c2808135c5ff075b8"> 938</a></span><a class="code hl_friend" href="classxrpl_1_1Number.html#af59083b29186c11c2808135c5ff075b8">root</a>(<a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> f, <span class="keywordtype">unsigned</span> d)</div>
<div class="line"><a id="l00939" name="l00939"></a><span class="lineno"> 939</span>{</div>
<div class="line"><a id="l00940" name="l00940"></a><span class="lineno"> 940</span> <span class="keyword">constexpr</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> zero = <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>{};</div>
<div class="line"><a id="l00941" name="l00941"></a><span class="lineno"> 941</span> <span class="keyword">auto</span> <span class="keyword">const</span> <a class="code hl_function" href="classxrpl_1_1Number.html#ad7b3dcf0314ef5327550516bdb1fa7d2">one</a> = <a class="code hl_function" href="classxrpl_1_1Number.html#ad7b3dcf0314ef5327550516bdb1fa7d2">Number::one</a>();</div>
<div class="line"><a id="l00942" name="l00942"></a><span class="lineno"> 942</span> </div>
<div class="line"><a id="l00943" name="l00943"></a><span class="lineno"> 943</span> <span class="keywordflow">if</span> (f == <a class="code hl_function" href="classxrpl_1_1Number.html#ad7b3dcf0314ef5327550516bdb1fa7d2">one</a> || d == 1)</div>
<div class="line"><a id="l00944" name="l00944"></a><span class="lineno"> 944</span> <span class="keywordflow">return</span> f;</div>
<div class="line"><a id="l00945" name="l00945"></a><span class="lineno"> 945</span> <span class="keywordflow">if</span> (d == 0)</div>
<div class="line"><a id="l00946" name="l00946"></a><span class="lineno"> 946</span> {</div>
<div class="line"><a id="l00947" name="l00947"></a><span class="lineno"> 947</span> <span class="keywordflow">if</span> (f == -<a class="code hl_function" href="classxrpl_1_1Number.html#ad7b3dcf0314ef5327550516bdb1fa7d2">one</a>)</div>
<div class="line"><a id="l00948" name="l00948"></a><span class="lineno"> 948</span> <span class="keywordflow">return</span> <a class="code hl_function" href="classxrpl_1_1Number.html#ad7b3dcf0314ef5327550516bdb1fa7d2">one</a>;</div>
<div class="line"><a id="l00949" name="l00949"></a><span class="lineno"> 949</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespacexrpl.html#ab8c3ab80a860de11f3803c7da500418a">abs</a>(f) &lt; <a class="code hl_function" href="classxrpl_1_1Number.html#ad7b3dcf0314ef5327550516bdb1fa7d2">one</a>)</div>
<div class="line"><a id="l00950" name="l00950"></a><span class="lineno"> 950</span> <span class="keywordflow">return</span> zero;</div>
<div class="line"><a id="l00951" name="l00951"></a><span class="lineno"> 951</span> <span class="keywordflow">throw</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/error/overflow_error.html">std::overflow_error</a>(<span class="stringliteral">&quot;Number::root infinity&quot;</span>);</div>
<div class="line"><a id="l00952" name="l00952"></a><span class="lineno"> 952</span> }</div>
<div class="line"><a id="l00953" name="l00953"></a><span class="lineno"> 953</span> <span class="keywordflow">if</span> (f &lt; zero &amp;&amp; d % 2 == 0)</div>
<div class="line"><a id="l00954" name="l00954"></a><span class="lineno"> 954</span> <span class="keywordflow">throw</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/error/overflow_error.html">std::overflow_error</a>(<span class="stringliteral">&quot;Number::root nan&quot;</span>);</div>
<div class="line"><a id="l00955" name="l00955"></a><span class="lineno"> 955</span> <span class="keywordflow">if</span> (f == zero)</div>
<div class="line"><a id="l00956" name="l00956"></a><span class="lineno"> 956</span> <span class="keywordflow">return</span> f;</div>
<div class="line"><a id="l00957" name="l00957"></a><span class="lineno"> 957</span> </div>
<div class="line"><a id="l00958" name="l00958"></a><span class="lineno"> 958</span> <span class="comment">// Scale f into the range (0, 1) such that f&#39;s exponent is a multiple of d</span></div>
<div class="line"><a id="l00959" name="l00959"></a><span class="lineno"> 959</span> <span class="keyword">auto</span> e = f.<a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a> + <a class="code hl_function" href="classxrpl_1_1Number.html#ae9df36fbc7e4a5663ce40454d30999ce">Number::mantissaLog</a>() + 1;</div>
<div class="line"><a id="l00960" name="l00960"></a><span class="lineno"> 960</span> <span class="keyword">auto</span> <span class="keyword">const</span> di = <span class="keyword">static_cast&lt;</span><span class="keywordtype">int</span><span class="keyword">&gt;</span>(d);</div>
<div class="line"><a id="l00961" name="l00961"></a><span class="lineno"> 961</span> <span class="keyword">auto</span> ex = [e = e, di = di]() <span class="comment">// Euclidean remainder of e/d</span></div>
<div class="line"><a id="l00962" name="l00962"></a><span class="lineno"> 962</span> {</div>
<div class="line"><a id="l00963" name="l00963"></a><span class="lineno"> 963</span> <span class="keywordtype">int</span> k = (e &gt;= 0 ? e : e - (di - 1)) / di;</div>
<div class="line"><a id="l00964" name="l00964"></a><span class="lineno"> 964</span> <span class="keywordtype">int</span> k2 = e - k * di;</div>
<div class="line"><a id="l00965" name="l00965"></a><span class="lineno"> 965</span> <span class="keywordflow">if</span> (k2 == 0)</div>
<div class="line"><a id="l00966" name="l00966"></a><span class="lineno"> 966</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00967" name="l00967"></a><span class="lineno"> 967</span> <span class="keywordflow">return</span> di - k2;</div>
<div class="line"><a id="l00968" name="l00968"></a><span class="lineno"> 968</span> }();</div>
<div class="line"><a id="l00969" name="l00969"></a><span class="lineno"> 969</span> e += ex;</div>
<div class="line"><a id="l00970" name="l00970"></a><span class="lineno"> 970</span> f = f.<a class="code hl_function" href="classxrpl_1_1Number.html#a80f5761398748f4d740631511d344701">shiftExponent</a>(-e); <span class="comment">// f /= 10^e;</span></div>
<div class="line"><a id="l00971" name="l00971"></a><span class="lineno"> 971</span> </div>
<div class="line"><a id="l00972" name="l00972"></a><span class="lineno"> 972</span> XRPL_ASSERT_PARTS(f.<a class="code hl_function" href="classxrpl_1_1Number.html#aa164f49489cb861950f4477b1f19a211">isnormal</a>(), <span class="stringliteral">&quot;xrpl::root(Number, unsigned)&quot;</span>, <span class="stringliteral">&quot;f is normalized&quot;</span>);</div>
<div class="line"><a id="l00973" name="l00973"></a><span class="lineno"> 973</span> <span class="keywordtype">bool</span> neg = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00974" name="l00974"></a><span class="lineno"> 974</span> <span class="keywordflow">if</span> (f &lt; zero)</div>
<div class="line"><a id="l00975" name="l00975"></a><span class="lineno"> 975</span> {</div>
<div class="line"><a id="l00976" name="l00976"></a><span class="lineno"> 976</span> neg = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00977" name="l00977"></a><span class="lineno"> 977</span> f = -f;</div>
<div class="line"><a id="l00978" name="l00978"></a><span class="lineno"> 978</span> }</div>
<div class="line"><a id="l00979" name="l00979"></a><span class="lineno"> 979</span> </div>
<div class="line"><a id="l00980" name="l00980"></a><span class="lineno"> 980</span> <span class="comment">// Quadratic least squares curve fit of f^(1/d) in the range [0, 1]</span></div>
<div class="line"><a id="l00981" name="l00981"></a><span class="lineno"> 981</span> <span class="keyword">auto</span> <span class="keyword">const</span> D = ((6 * di + 11) * di + 6) * di + 1;</div>
<div class="line"><a id="l00982" name="l00982"></a><span class="lineno"> 982</span> <span class="keyword">auto</span> <span class="keyword">const</span> a0 = 3 * di * ((2 * di - 3) * di + 1);</div>
<div class="line"><a id="l00983" name="l00983"></a><span class="lineno"> 983</span> <span class="keyword">auto</span> <span class="keyword">const</span> a1 = 24 * di * (2 * di - 1);</div>
<div class="line"><a id="l00984" name="l00984"></a><span class="lineno"> 984</span> <span class="keyword">auto</span> <span class="keyword">const</span> a2 = -30 * (di - 1) * di;</div>
<div class="line"><a id="l00985" name="l00985"></a><span class="lineno"> 985</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> r = ((<a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>{a2} * f + <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>{a1}) * f + <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>{a0}) / <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>{D};</div>
<div class="line"><a id="l00986" name="l00986"></a><span class="lineno"> 986</span> <span class="keywordflow">if</span> (neg)</div>
<div class="line"><a id="l00987" name="l00987"></a><span class="lineno"> 987</span> {</div>
<div class="line"><a id="l00988" name="l00988"></a><span class="lineno"> 988</span> f = -f;</div>
<div class="line"><a id="l00989" name="l00989"></a><span class="lineno"> 989</span> r = -r;</div>
<div class="line"><a id="l00990" name="l00990"></a><span class="lineno"> 990</span> }</div>
<div class="line"><a id="l00991" name="l00991"></a><span class="lineno"> 991</span> </div>
<div class="line"><a id="l00992" name="l00992"></a><span class="lineno"> 992</span> <span class="comment">// Newton–Raphson iteration of f^(1/d) with initial guess r</span></div>
<div class="line"><a id="l00993" name="l00993"></a><span class="lineno"> 993</span> <span class="comment">// halt when r stops changing, checking for bouncing on the last iteration</span></div>
<div class="line"><a id="l00994" name="l00994"></a><span class="lineno"> 994</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> rm1{};</div>
<div class="line"><a id="l00995" name="l00995"></a><span class="lineno"> 995</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> rm2{};</div>
<div class="line"><a id="l00996" name="l00996"></a><span class="lineno"> 996</span> <span class="keywordflow">do</span></div>
<div class="line"><a id="l00997" name="l00997"></a><span class="lineno"> 997</span> {</div>
<div class="line"><a id="l00998" name="l00998"></a><span class="lineno"> 998</span> rm2 = rm1;</div>
<div class="line"><a id="l00999" name="l00999"></a><span class="lineno"> 999</span> rm1 = r;</div>
<div class="line"><a id="l01000" name="l01000"></a><span class="lineno"> 1000</span> r = (<a class="code hl_function" href="classxrpl_1_1Number.html#adbf347c98a775ae3c4bde68d36d6e36c">Number</a>(d - 1) * r + f / <a class="code hl_function" href="namespacexrpl.html#a5dcb604ca5c6c6fdde47b8d7c20bec54">power</a>(r, d - 1)) / <a class="code hl_function" href="classxrpl_1_1Number.html#adbf347c98a775ae3c4bde68d36d6e36c">Number</a>(d);</div>
<div class="line"><a id="l01001" name="l01001"></a><span class="lineno"> 1001</span> } <span class="keywordflow">while</span> (r != rm1 &amp;&amp; r != rm2);</div>
<div class="line"><a id="l01002" name="l01002"></a><span class="lineno"> 1002</span> </div>
<div class="line"><a id="l01003" name="l01003"></a><span class="lineno"> 1003</span> <span class="comment">// return r * 10^(e/d) to reverse scaling</span></div>
<div class="line"><a id="l01004" name="l01004"></a><span class="lineno"> 1004</span> <span class="keyword">auto</span> <span class="keyword">const</span> result = r.<a class="code hl_function" href="classxrpl_1_1Number.html#a80f5761398748f4d740631511d344701">shiftExponent</a>(e / di);</div>
<div class="line"><a id="l01005" name="l01005"></a><span class="lineno"> 1005</span> XRPL_ASSERT_PARTS(result.isnormal(), <span class="stringliteral">&quot;xrpl::root(Number, unsigned)&quot;</span>, <span class="stringliteral">&quot;result is normalized&quot;</span>);</div>
<div class="line"><a id="l01006" name="l01006"></a><span class="lineno"> 1006</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l01007" name="l01007"></a><span class="lineno"> 1007</span>}</div>
</div>
<div class="line"><a id="l01008" name="l01008"></a><span class="lineno"> 1008</span> </div>
<div class="line"><a id="l01009" name="l01009"></a><span class="lineno"> 1009</span><a class="code hl_class" href="classxrpl_1_1Number.html">Number</a></div>
<div class="foldopen" id="foldopen01010" data-start="{" data-end="};">
<div class="line"><a id="l01010" name="l01010"></a><span class="lineno"><a class="line" href="classxrpl_1_1Number.html#ab83e07ef7e17606d7bcaeabe05ec1236"> 1010</a></span><a class="code hl_friend" href="classxrpl_1_1Number.html#ab83e07ef7e17606d7bcaeabe05ec1236">root2</a>(<a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> f)</div>
<div class="line"><a id="l01011" name="l01011"></a><span class="lineno"> 1011</span>{</div>
<div class="line"><a id="l01012" name="l01012"></a><span class="lineno"> 1012</span> <span class="keyword">constexpr</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> zero = <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>{};</div>
<div class="line"><a id="l01013" name="l01013"></a><span class="lineno"> 1013</span> <span class="keyword">auto</span> <span class="keyword">const</span> <a class="code hl_function" href="classxrpl_1_1Number.html#ad7b3dcf0314ef5327550516bdb1fa7d2">one</a> = <a class="code hl_function" href="classxrpl_1_1Number.html#ad7b3dcf0314ef5327550516bdb1fa7d2">Number::one</a>();</div>
<div class="line"><a id="l01014" name="l01014"></a><span class="lineno"> 1014</span> </div>
<div class="line"><a id="l01015" name="l01015"></a><span class="lineno"> 1015</span> <span class="keywordflow">if</span> (f == <a class="code hl_function" href="classxrpl_1_1Number.html#ad7b3dcf0314ef5327550516bdb1fa7d2">one</a>)</div>
<div class="line"><a id="l01016" name="l01016"></a><span class="lineno"> 1016</span> <span class="keywordflow">return</span> f;</div>
<div class="line"><a id="l01017" name="l01017"></a><span class="lineno"> 1017</span> <span class="keywordflow">if</span> (f &lt; zero)</div>
<div class="line"><a id="l01018" name="l01018"></a><span class="lineno"> 1018</span> <span class="keywordflow">throw</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/error/overflow_error.html">std::overflow_error</a>(<span class="stringliteral">&quot;Number::root nan&quot;</span>);</div>
<div class="line"><a id="l01019" name="l01019"></a><span class="lineno"> 1019</span> <span class="keywordflow">if</span> (f == zero)</div>
<div class="line"><a id="l01020" name="l01020"></a><span class="lineno"> 1020</span> <span class="keywordflow">return</span> f;</div>
<div class="line"><a id="l01021" name="l01021"></a><span class="lineno"> 1021</span> </div>
<div class="line"><a id="l01022" name="l01022"></a><span class="lineno"> 1022</span> <span class="comment">// Scale f into the range (0, 1) such that f&#39;s exponent is a multiple of d</span></div>
<div class="line"><a id="l01023" name="l01023"></a><span class="lineno"> 1023</span> <span class="keyword">auto</span> e = f.<a class="code hl_variable" href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">exponent_</a> + <a class="code hl_function" href="classxrpl_1_1Number.html#ae9df36fbc7e4a5663ce40454d30999ce">Number::mantissaLog</a>() + 1;</div>
<div class="line"><a id="l01024" name="l01024"></a><span class="lineno"> 1024</span> <span class="keywordflow">if</span> (e % 2 != 0)</div>
<div class="line"><a id="l01025" name="l01025"></a><span class="lineno"> 1025</span> ++e;</div>
<div class="line"><a id="l01026" name="l01026"></a><span class="lineno"> 1026</span> f = f.<a class="code hl_function" href="classxrpl_1_1Number.html#a80f5761398748f4d740631511d344701">shiftExponent</a>(-e); <span class="comment">// f /= 10^e;</span></div>
<div class="line"><a id="l01027" name="l01027"></a><span class="lineno"> 1027</span> XRPL_ASSERT_PARTS(f.<a class="code hl_function" href="classxrpl_1_1Number.html#aa164f49489cb861950f4477b1f19a211">isnormal</a>(), <span class="stringliteral">&quot;xrpl::root2(Number)&quot;</span>, <span class="stringliteral">&quot;f is normalized&quot;</span>);</div>
<div class="line"><a id="l01028" name="l01028"></a><span class="lineno"> 1028</span> </div>
<div class="line"><a id="l01029" name="l01029"></a><span class="lineno"> 1029</span> <span class="comment">// Quadratic least squares curve fit of f^(1/d) in the range [0, 1]</span></div>
<div class="line"><a id="l01030" name="l01030"></a><span class="lineno"> 1030</span> <span class="keyword">auto</span> <span class="keyword">const</span> D = 105;</div>
<div class="line"><a id="l01031" name="l01031"></a><span class="lineno"> 1031</span> <span class="keyword">auto</span> <span class="keyword">const</span> a0 = 18;</div>
<div class="line"><a id="l01032" name="l01032"></a><span class="lineno"> 1032</span> <span class="keyword">auto</span> <span class="keyword">const</span> a1 = 144;</div>
<div class="line"><a id="l01033" name="l01033"></a><span class="lineno"> 1033</span> <span class="keyword">auto</span> <span class="keyword">const</span> a2 = -60;</div>
<div class="line"><a id="l01034" name="l01034"></a><span class="lineno"> 1034</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> r = ((<a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>{a2} * f + <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>{a1}) * f + <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>{a0}) / <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>{D};</div>
<div class="line"><a id="l01035" name="l01035"></a><span class="lineno"> 1035</span> </div>
<div class="line"><a id="l01036" name="l01036"></a><span class="lineno"> 1036</span> <span class="comment">// Newton–Raphson iteration of f^(1/2) with initial guess r</span></div>
<div class="line"><a id="l01037" name="l01037"></a><span class="lineno"> 1037</span> <span class="comment">// halt when r stops changing, checking for bouncing on the last iteration</span></div>
<div class="line"><a id="l01038" name="l01038"></a><span class="lineno"> 1038</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> rm1{};</div>
<div class="line"><a id="l01039" name="l01039"></a><span class="lineno"> 1039</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> rm2{};</div>
<div class="line"><a id="l01040" name="l01040"></a><span class="lineno"> 1040</span> <span class="keywordflow">do</span></div>
<div class="line"><a id="l01041" name="l01041"></a><span class="lineno"> 1041</span> {</div>
<div class="line"><a id="l01042" name="l01042"></a><span class="lineno"> 1042</span> rm2 = rm1;</div>
<div class="line"><a id="l01043" name="l01043"></a><span class="lineno"> 1043</span> rm1 = r;</div>
<div class="line"><a id="l01044" name="l01044"></a><span class="lineno"> 1044</span> r = (r + f / r) / <a class="code hl_function" href="classxrpl_1_1Number.html#adbf347c98a775ae3c4bde68d36d6e36c">Number</a>(2);</div>
<div class="line"><a id="l01045" name="l01045"></a><span class="lineno"> 1045</span> } <span class="keywordflow">while</span> (r != rm1 &amp;&amp; r != rm2);</div>
<div class="line"><a id="l01046" name="l01046"></a><span class="lineno"> 1046</span> </div>
<div class="line"><a id="l01047" name="l01047"></a><span class="lineno"> 1047</span> <span class="comment">// return r * 10^(e/2) to reverse scaling</span></div>
<div class="line"><a id="l01048" name="l01048"></a><span class="lineno"> 1048</span> <span class="keyword">auto</span> <span class="keyword">const</span> result = r.<a class="code hl_function" href="classxrpl_1_1Number.html#a80f5761398748f4d740631511d344701">shiftExponent</a>(e / 2);</div>
<div class="line"><a id="l01049" name="l01049"></a><span class="lineno"> 1049</span> XRPL_ASSERT_PARTS(result.isnormal(), <span class="stringliteral">&quot;xrpl::root2(Number)&quot;</span>, <span class="stringliteral">&quot;result is normalized&quot;</span>);</div>
<div class="line"><a id="l01050" name="l01050"></a><span class="lineno"> 1050</span> </div>
<div class="line"><a id="l01051" name="l01051"></a><span class="lineno"> 1051</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l01052" name="l01052"></a><span class="lineno"> 1052</span>}</div>
</div>
<div class="line"><a id="l01053" name="l01053"></a><span class="lineno"> 1053</span> </div>
<div class="line"><a id="l01054" name="l01054"></a><span class="lineno"> 1054</span><span class="comment">// Returns f^(n/d)</span></div>
<div class="line"><a id="l01055" name="l01055"></a><span class="lineno"> 1055</span> </div>
<div class="line"><a id="l01056" name="l01056"></a><span class="lineno"> 1056</span><a class="code hl_class" href="classxrpl_1_1Number.html">Number</a></div>
<div class="foldopen" id="foldopen01057" data-start="{" data-end="}">
<div class="line"><a id="l01057" name="l01057"></a><span class="lineno"><a class="line" href="namespacexrpl.html#a15adee4e180b37ba01edb25ac6d17ff6"> 1057</a></span><a class="code hl_function" href="namespacexrpl.html#a5dcb604ca5c6c6fdde47b8d7c20bec54">power</a>(<a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> <span class="keyword">const</span>&amp; f, <span class="keywordtype">unsigned</span> n, <span class="keywordtype">unsigned</span> d)</div>
<div class="line"><a id="l01058" name="l01058"></a><span class="lineno"> 1058</span>{</div>
<div class="line"><a id="l01059" name="l01059"></a><span class="lineno"> 1059</span> <span class="keyword">constexpr</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> zero = <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>{};</div>
<div class="line"><a id="l01060" name="l01060"></a><span class="lineno"> 1060</span> <span class="keyword">auto</span> <span class="keyword">const</span> <a class="code hl_function" href="classxrpl_1_1Number.html#ad7b3dcf0314ef5327550516bdb1fa7d2">one</a> = <a class="code hl_function" href="classxrpl_1_1Number.html#ad7b3dcf0314ef5327550516bdb1fa7d2">Number::one</a>();</div>
<div class="line"><a id="l01061" name="l01061"></a><span class="lineno"> 1061</span> </div>
<div class="line"><a id="l01062" name="l01062"></a><span class="lineno"> 1062</span> <span class="keywordflow">if</span> (f == <a class="code hl_function" href="classxrpl_1_1Number.html#ad7b3dcf0314ef5327550516bdb1fa7d2">one</a>)</div>
<div class="line"><a id="l01063" name="l01063"></a><span class="lineno"> 1063</span> <span class="keywordflow">return</span> f;</div>
<div class="line"><a id="l01064" name="l01064"></a><span class="lineno"> 1064</span> <span class="keyword">auto</span> g = <a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/numeric/gcd.html">std::gcd</a>(n, d);</div>
<div class="line"><a id="l01065" name="l01065"></a><span class="lineno"> 1065</span> <span class="keywordflow">if</span> (g == 0)</div>
<div class="line"><a id="l01066" name="l01066"></a><span class="lineno"> 1066</span> <span class="keywordflow">throw</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/error/overflow_error.html">std::overflow_error</a>(<span class="stringliteral">&quot;Number::power nan&quot;</span>);</div>
<div class="line"><a id="l01067" name="l01067"></a><span class="lineno"> 1067</span> <span class="keywordflow">if</span> (d == 0)</div>
<div class="line"><a id="l01068" name="l01068"></a><span class="lineno"> 1068</span> {</div>
<div class="line"><a id="l01069" name="l01069"></a><span class="lineno"> 1069</span> <span class="keywordflow">if</span> (f == -<a class="code hl_function" href="classxrpl_1_1Number.html#ad7b3dcf0314ef5327550516bdb1fa7d2">one</a>)</div>
<div class="line"><a id="l01070" name="l01070"></a><span class="lineno"> 1070</span> <span class="keywordflow">return</span> <a class="code hl_function" href="classxrpl_1_1Number.html#ad7b3dcf0314ef5327550516bdb1fa7d2">one</a>;</div>
<div class="line"><a id="l01071" name="l01071"></a><span class="lineno"> 1071</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespacexrpl.html#ab8c3ab80a860de11f3803c7da500418a">abs</a>(f) &lt; <a class="code hl_function" href="classxrpl_1_1Number.html#ad7b3dcf0314ef5327550516bdb1fa7d2">one</a>)</div>
<div class="line"><a id="l01072" name="l01072"></a><span class="lineno"> 1072</span> <span class="keywordflow">return</span> zero;</div>
<div class="line"><a id="l01073" name="l01073"></a><span class="lineno"> 1073</span> <span class="comment">// abs(f) &gt; one</span></div>
<div class="line"><a id="l01074" name="l01074"></a><span class="lineno"> 1074</span> <span class="keywordflow">throw</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/error/overflow_error.html">std::overflow_error</a>(<span class="stringliteral">&quot;Number::power infinity&quot;</span>);</div>
<div class="line"><a id="l01075" name="l01075"></a><span class="lineno"> 1075</span> }</div>
<div class="line"><a id="l01076" name="l01076"></a><span class="lineno"> 1076</span> <span class="keywordflow">if</span> (n == 0)</div>
<div class="line"><a id="l01077" name="l01077"></a><span class="lineno"> 1077</span> <span class="keywordflow">return</span> <a class="code hl_function" href="classxrpl_1_1Number.html#ad7b3dcf0314ef5327550516bdb1fa7d2">one</a>;</div>
<div class="line"><a id="l01078" name="l01078"></a><span class="lineno"> 1078</span> n /= g;</div>
<div class="line"><a id="l01079" name="l01079"></a><span class="lineno"> 1079</span> d /= g;</div>
<div class="line"><a id="l01080" name="l01080"></a><span class="lineno"> 1080</span> <span class="keywordflow">if</span> ((n % 2) == 1 &amp;&amp; (d % 2) == 0 &amp;&amp; f &lt; zero)</div>
<div class="line"><a id="l01081" name="l01081"></a><span class="lineno"> 1081</span> <span class="keywordflow">throw</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/error/overflow_error.html">std::overflow_error</a>(<span class="stringliteral">&quot;Number::power nan&quot;</span>);</div>
<div class="line"><a id="l01082" name="l01082"></a><span class="lineno"> 1082</span> <span class="keywordflow">return</span> <a class="code hl_friend" href="classxrpl_1_1Number.html#af59083b29186c11c2808135c5ff075b8">root</a>(<a class="code hl_function" href="namespacexrpl.html#a5dcb604ca5c6c6fdde47b8d7c20bec54">power</a>(f, n), d);</div>
<div class="line"><a id="l01083" name="l01083"></a><span class="lineno"> 1083</span>}</div>
</div>
<div class="line"><a id="l01084" name="l01084"></a><span class="lineno"> 1084</span> </div>
<div class="line"><a id="l01085" name="l01085"></a><span class="lineno"> 1085</span>} <span class="comment">// namespace xrpl</span></div>
<div class="ttc" id="aalgorithm_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/header/algorithm.html">algorithm</a></div></div>
<div class="ttc" id="aappend_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/append.html">std::string::append</a></div><div class="ttdeci">T append(T... args)</div></div>
<div class="ttc" id="abasic_string_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a></div></div>
<div class="ttc" id="abegin_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/begin.html">std::string::begin</a></div><div class="ttdeci">T begin(T... args)</div></div>
<div class="ttc" id="aclassxrpl_1_1Number_1_1Guard_html"><div class="ttname"><a href="classxrpl_1_1Number_1_1Guard.html">xrpl::Number::Guard</a></div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00067">Number.cpp:68</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_1_1Guard_html_a0ebc09f6e6241ba83bec8d3268d50c31"><div class="ttname"><a href="classxrpl_1_1Number_1_1Guard.html#a0ebc09f6e6241ba83bec8d3268d50c31">xrpl::Number::Guard::round</a></div><div class="ttdeci">int round() noexcept</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00176">Number.cpp:176</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_1_1Guard_html_a11e2fc9dcf9120daa2ff1976ffd83278"><div class="ttname"><a href="classxrpl_1_1Number_1_1Guard.html#a11e2fc9dcf9120daa2ff1976ffd83278">xrpl::Number::Guard::set_positive</a></div><div class="ttdeci">void set_positive() noexcept</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00131">Number.cpp:131</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_1_1Guard_html_a1977d28778524257f10ce34f95858840"><div class="ttname"><a href="classxrpl_1_1Number_1_1Guard.html#a1977d28778524257f10ce34f95858840">xrpl::Number::Guard::pop</a></div><div class="ttdeci">unsigned pop() noexcept</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00164">Number.cpp:164</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_1_1Guard_html_a1c936cf21ec79609449a3868ca013c7f"><div class="ttname"><a href="classxrpl_1_1Number_1_1Guard.html#a1c936cf21ec79609449a3868ca013c7f">xrpl::Number::Guard::doRoundUp</a></div><div class="ttdeci">void doRoundUp(bool &amp;negative, T &amp;mantissa, int &amp;exponent, internalrep const &amp;minMantissa, internalrep const &amp;maxMantissa, std::string location)</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00235">Number.cpp:235</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_1_1Guard_html_a491b4ea2971fe0221fa0e61179154c6b"><div class="ttname"><a href="classxrpl_1_1Number_1_1Guard.html#a491b4ea2971fe0221fa0e61179154c6b">xrpl::Number::Guard::bringIntoRange</a></div><div class="ttdeci">void bringIntoRange(bool &amp;negative, T &amp;mantissa, int &amp;exponent, internalrep const &amp;minMantissa)</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00214">Number.cpp:214</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_1_1Guard_html_a55bc76505e3a34a0d50baa1c7eeae19c"><div class="ttname"><a href="classxrpl_1_1Number_1_1Guard.html#a55bc76505e3a34a0d50baa1c7eeae19c">xrpl::Number::Guard::doRound</a></div><div class="ttdeci">void doRound(rep &amp;drops, std::string location)</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00279">Number.cpp:279</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_1_1Guard_html_a56a81d86e08ba5f15554710ee6558f5d"><div class="ttname"><a href="classxrpl_1_1Number_1_1Guard.html#a56a81d86e08ba5f15554710ee6558f5d">xrpl::Number::Guard::is_negative</a></div><div class="ttdeci">bool is_negative() const noexcept</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00143">Number.cpp:143</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_1_1Guard_html_a587e49e00e7b5b36cb51a6b8df743c59"><div class="ttname"><a href="classxrpl_1_1Number_1_1Guard.html#a587e49e00e7b5b36cb51a6b8df743c59">xrpl::Number::Guard::doRoundDown</a></div><div class="ttdeci">void doRoundDown(bool &amp;negative, T &amp;mantissa, int &amp;exponent, internalrep const &amp;minMantissa)</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00262">Number.cpp:262</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_1_1Guard_html_a7e98b203dc4370e448d1398ecdf05745"><div class="ttname"><a href="classxrpl_1_1Number_1_1Guard.html#a7e98b203dc4370e448d1398ecdf05745">xrpl::Number::Guard::doPush</a></div><div class="ttdeci">void doPush(unsigned d) noexcept</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00149">Number.cpp:149</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_1_1Guard_html_a81424a2e84074c3ecd4cb454f359c3ee"><div class="ttname"><a href="classxrpl_1_1Number_1_1Guard.html#a81424a2e84074c3ecd4cb454f359c3ee">xrpl::Number::Guard::set_negative</a></div><div class="ttdeci">void set_negative() noexcept</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00137">Number.cpp:137</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_1_1Guard_html_a9671112916b037a39959d72ed3ea8612"><div class="ttname"><a href="classxrpl_1_1Number_1_1Guard.html#a9671112916b037a39959d72ed3ea8612">xrpl::Number::Guard::xbit_</a></div><div class="ttdeci">std::uint8_t xbit_</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00070">Number.cpp:70</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_1_1Guard_html_ac3545d65922e16f7cd18897679a0466f"><div class="ttname"><a href="classxrpl_1_1Number_1_1Guard.html#ac3545d65922e16f7cd18897679a0466f">xrpl::Number::Guard::Guard</a></div><div class="ttdeci">Guard()</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00074">Number.cpp:74</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_1_1Guard_html_ac5ce476230510eae348dd28258f83322"><div class="ttname"><a href="classxrpl_1_1Number_1_1Guard.html#ac5ce476230510eae348dd28258f83322">xrpl::Number::Guard::sbit_</a></div><div class="ttdeci">std::uint8_t sbit_</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00071">Number.cpp:71</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_1_1Guard_html_aeeb29d02bbadd5bf87e04a4d1d203363"><div class="ttname"><a href="classxrpl_1_1Number_1_1Guard.html#aeeb29d02bbadd5bf87e04a4d1d203363">xrpl::Number::Guard::push</a></div><div class="ttdeci">void push(T d) noexcept</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00158">Number.cpp:158</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_1_1Guard_html_af2fda4b03dd23b878f01f16425cb6c7e"><div class="ttname"><a href="classxrpl_1_1Number_1_1Guard.html#af2fda4b03dd23b878f01f16425cb6c7e">xrpl::Number::Guard::digits_</a></div><div class="ttdeci">std::uint64_t digits_</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00069">Number.cpp:69</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html"><div class="ttname"><a href="classxrpl_1_1Number.html">xrpl::Number</a></div><div class="ttdoc">Number is a floating point type that can represent a wide range of values.</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00207">Number.h:208</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a0981e6287c63318941d3b12d5c51c419"><div class="ttname"><a href="classxrpl_1_1Number.html#a0981e6287c63318941d3b12d5c51c419">xrpl::Number::oneSmall</a></div><div class="ttdeci">static constexpr Number oneSmall()</div><div class="ttdoc">oneSmall is needed because the ranges are private</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00327">Number.cpp:327</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a0c71d26d6de400ed12cf3923157aca31"><div class="ttname"><a href="classxrpl_1_1Number.html#a0c71d26d6de400ed12cf3923157aca31">xrpl::Number::getround</a></div><div class="ttdeci">static rounding_mode getround()</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00033">Number.cpp:33</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a10e51120e8e4f1f3a08d5211069658f6"><div class="ttname"><a href="classxrpl_1_1Number.html#a10e51120e8e4f1f3a08d5211069658f6">xrpl::Number::mantissa_</a></div><div class="ttdeci">internalrep mantissa_</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00213">Number.h:213</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a1be401c2cd91d8311dbc55bf6038a492"><div class="ttname"><a href="classxrpl_1_1Number.html#a1be401c2cd91d8311dbc55bf6038a492">xrpl::Number::minMantissa</a></div><div class="ttdeci">static internalrep minMantissa()</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00402">Number.h:402</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a223cbe5eabe0bea1d9156f05c971e5c3"><div class="ttname"><a href="classxrpl_1_1Number.html#a223cbe5eabe0bea1d9156f05c971e5c3">xrpl::Number::mantissa</a></div><div class="ttdeci">constexpr rep mantissa() const noexcept</div><div class="ttdoc">Returns the mantissa of the external view of the Number.</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00543">Number.h:543</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a274b459d7478df80795caed8a56d4f00"><div class="ttname"><a href="classxrpl_1_1Number.html#a274b459d7478df80795caed8a56d4f00">xrpl::Number::setround</a></div><div class="ttdeci">static rounding_mode setround(rounding_mode mode)</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00039">Number.cpp:39</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a2c584da7e74e5b5bb6770ad27d0ac546"><div class="ttname"><a href="classxrpl_1_1Number.html#a2c584da7e74e5b5bb6770ad27d0ac546">xrpl::Number::operator/=</a></div><div class="ttdeci">Number &amp; operator/=(Number const &amp;x)</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00682">Number.cpp:682</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a32c28029a3fb2ed76e3151f626be8966"><div class="ttname"><a href="classxrpl_1_1Number.html#a32c28029a3fb2ed76e3151f626be8966">xrpl::Number::operator+=</a></div><div class="ttdeci">Number &amp; operator+=(Number const &amp;x)</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00497">Number.cpp:497</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a3d6e8e71ee3641f8d21041d3ade5aed0"><div class="ttname"><a href="classxrpl_1_1Number.html#a3d6e8e71ee3641f8d21041d3ade5aed0">xrpl::Number::truncate</a></div><div class="ttdeci">Number truncate() const noexcept</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00805">Number.cpp:805</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a3e899a2315bdca222c4f12e8a244c281"><div class="ttname"><a href="classxrpl_1_1Number.html#a3e899a2315bdca222c4f12e8a244c281">xrpl::Number::rep</a></div><div class="ttdeci">std::int64_t rep</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00209">Number.h:209</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a3f93a0fd9a95f114e3ab7d12ea0a1f7d"><div class="ttname"><a href="classxrpl_1_1Number.html#a3f93a0fd9a95f114e3ab7d12ea0a1f7d">xrpl::Number::to_string</a></div><div class="ttdeci">friend std::string to_string(Number const &amp;amount)</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00823">Number.cpp:823</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a40e08f75077897215c66d102b5b75f95"><div class="ttname"><a href="classxrpl_1_1Number.html#a40e08f75077897215c66d102b5b75f95">xrpl::Number::rounding_mode</a></div><div class="ttdeci">rounding_mode</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00381">Number.h:381</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a40e08f75077897215c66d102b5b75f95aa0120ec63f8c549bc0bf1c945e36e779"><div class="ttname"><a href="classxrpl_1_1Number.html#a40e08f75077897215c66d102b5b75f95aa0120ec63f8c549bc0bf1c945e36e779">xrpl::Number::towards_zero</a></div><div class="ttdeci">@ towards_zero</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00381">Number.h:381</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a40e08f75077897215c66d102b5b75f95aa1683b7e2939668142366896b111931a"><div class="ttname"><a href="classxrpl_1_1Number.html#a40e08f75077897215c66d102b5b75f95aa1683b7e2939668142366896b111931a">xrpl::Number::to_nearest</a></div><div class="ttdeci">@ to_nearest</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00381">Number.h:381</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a40e08f75077897215c66d102b5b75f95aaf71effcd4dcf7bc7c89bb51e27e8b17"><div class="ttname"><a href="classxrpl_1_1Number.html#a40e08f75077897215c66d102b5b75f95aaf71effcd4dcf7bc7c89bb51e27e8b17">xrpl::Number::upward</a></div><div class="ttdeci">@ upward</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00381">Number.h:381</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a40e08f75077897215c66d102b5b75f95aefac6c5bd63a85dcee4fc69baf788d40"><div class="ttname"><a href="classxrpl_1_1Number.html#a40e08f75077897215c66d102b5b75f95aefac6c5bd63a85dcee4fc69baf788d40">xrpl::Number::downward</a></div><div class="ttdeci">@ downward</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00381">Number.h:381</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a484ed599d53a6c6f57cd6b6163dca4d6"><div class="ttname"><a href="classxrpl_1_1Number.html#a484ed599d53a6c6f57cd6b6163dca4d6">xrpl::Number::smallRange</a></div><div class="ttdeci">static constexpr MantissaRange smallRange</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00440">Number.h:440</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a4f3e98cecc5435852a47d61a2d80d02f"><div class="ttname"><a href="classxrpl_1_1Number.html#a4f3e98cecc5435852a47d61a2d80d02f">xrpl::Number::doNormalize</a></div><div class="ttdeci">friend void doNormalize(bool &amp;negative, T &amp;mantissa_, int &amp;exponent_, MantissaRange::rep const &amp;minMantissa, MantissaRange::rep const &amp;maxMantissa)</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00355">Number.cpp:355</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a5b91f73f5bb83bdca17bcd2378b612f8"><div class="ttname"><a href="classxrpl_1_1Number.html#a5b91f73f5bb83bdca17bcd2378b612f8">xrpl::Number::maxRep</a></div><div class="ttdeci">static constexpr internalrep maxRep</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00221">Number.h:221</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a67e66cfedbb2ff6c670917e4872da14f"><div class="ttname"><a href="classxrpl_1_1Number.html#a67e66cfedbb2ff6c670917e4872da14f">xrpl::Number::internalrep</a></div><div class="ttdeci">MantissaRange::rep internalrep</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00210">Number.h:210</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a73b1712a4714d18b02c0b9158a3ac201"><div class="ttname"><a href="classxrpl_1_1Number.html#a73b1712a4714d18b02c0b9158a3ac201">xrpl::Number::mode_</a></div><div class="ttdeci">static thread_local rounding_mode mode_</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00437">Number.h:437</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a7cf828e636abd921b2ff2bca7a7bc8b8"><div class="ttname"><a href="classxrpl_1_1Number.html#a7cf828e636abd921b2ff2bca7a7bc8b8">xrpl::Number::minExponent</a></div><div class="ttdeci">static constexpr int minExponent</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00218">Number.h:218</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a80f5761398748f4d740631511d344701"><div class="ttname"><a href="classxrpl_1_1Number.html#a80f5761398748f4d740631511d344701">xrpl::Number::shiftExponent</a></div><div class="ttdeci">Number shiftExponent(int exponentDelta) const</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00481">Number.cpp:481</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a89a1e2cc1d2d69c86bbb03340284a6b7"><div class="ttname"><a href="classxrpl_1_1Number.html#a89a1e2cc1d2d69c86bbb03340284a6b7">xrpl::Number::setMantissaScale</a></div><div class="ttdeci">static void setMantissaScale(MantissaRange::mantissa_scale scale)</div><div class="ttdoc">Changes which mantissa scale is used for normalization.</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00051">Number.cpp:51</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a966f5eca09ff61f50f0c377dea86c798"><div class="ttname"><a href="classxrpl_1_1Number.html#a966f5eca09ff61f50f0c377dea86c798">xrpl::Number::externalToInternal</a></div><div class="ttdeci">static internalrep externalToInternal(rep mantissa)</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00308">Number.cpp:308</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a992a7b726b84f3e57bdba64acc107ba9"><div class="ttname"><a href="classxrpl_1_1Number.html#a992a7b726b84f3e57bdba64acc107ba9">xrpl::Number::maxMantissa</a></div><div class="ttdeci">static internalrep maxMantissa()</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00408">Number.h:408</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_aa164f49489cb861950f4477b1f19a211"><div class="ttname"><a href="classxrpl_1_1Number.html#aa164f49489cb861950f4477b1f19a211">xrpl::Number::isnormal</a></div><div class="ttdeci">bool isnormal() const noexcept</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00681">Number.h:681</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_aa4058fefe18f86063240cfd2ba985358"><div class="ttname"><a href="classxrpl_1_1Number.html#aa4058fefe18f86063240cfd2ba985358">xrpl::Number::exponent</a></div><div class="ttdeci">constexpr int exponent() const noexcept</div><div class="ttdoc">Returns the exponent of the external view of the Number.</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00564">Number.h:564</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_aa41a4f7784291ffd76634c7fc567f6fb"><div class="ttname"><a href="classxrpl_1_1Number.html#aa41a4f7784291ffd76634c7fc567f6fb">xrpl::Number::maxExponent</a></div><div class="ttdeci">static constexpr int maxExponent</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00219">Number.h:219</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_ab2381c12707d6e7e9a7704b4733ae3af"><div class="ttname"><a href="classxrpl_1_1Number.html#ab2381c12707d6e7e9a7704b4733ae3af">xrpl::Number::range_</a></div><div class="ttdeci">static thread_local std::reference_wrapper&lt; MantissaRange const &gt; range_</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00458">Number.h:458</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_ab83e07ef7e17606d7bcaeabe05ec1236"><div class="ttname"><a href="classxrpl_1_1Number.html#ab83e07ef7e17606d7bcaeabe05ec1236">xrpl::Number::root2</a></div><div class="ttdeci">friend Number root2(Number f)</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l01010">Number.cpp:1010</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_ac138187ff4d421f4158228642551756c"><div class="ttname"><a href="classxrpl_1_1Number.html#ac138187ff4d421f4158228642551756c">xrpl::Number::getMantissaScale</a></div><div class="ttdeci">static MantissaRange::mantissa_scale getMantissaScale()</div><div class="ttdoc">Returns which mantissa scale is currently in use for normalization.</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00045">Number.cpp:45</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_ac901dca6c4ae9b77298650a82ad606f3"><div class="ttname"><a href="classxrpl_1_1Number.html#ac901dca6c4ae9b77298650a82ad606f3">xrpl::Number::exponent_</a></div><div class="ttdeci">int exponent_</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00214">Number.h:214</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_ace04e61c20eedabf3ead4454049d9126"><div class="ttname"><a href="classxrpl_1_1Number.html#ace04e61c20eedabf3ead4454049d9126">xrpl::Number::largeRange</a></div><div class="ttdeci">static constexpr MantissaRange largeRange</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00447">Number.h:447</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_ad471bfbafa5464af9c8b498e125d9873"><div class="ttname"><a href="classxrpl_1_1Number.html#ad471bfbafa5464af9c8b498e125d9873">xrpl::Number::normalize</a></div><div class="ttdeci">void normalize()</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00471">Number.cpp:471</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_ad7b3dcf0314ef5327550516bdb1fa7d2"><div class="ttname"><a href="classxrpl_1_1Number.html#ad7b3dcf0314ef5327550516bdb1fa7d2">xrpl::Number::one</a></div><div class="ttdeci">static Number one()</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00343">Number.cpp:343</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_ad90bfb6a56dd24246668ebe5e2a4bb95"><div class="ttname"><a href="classxrpl_1_1Number.html#ad90bfb6a56dd24246668ebe5e2a4bb95">xrpl::Number::operator*=</a></div><div class="ttdeci">Number &amp; operator*=(Number const &amp;x)</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00624">Number.cpp:624</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_adbf347c98a775ae3c4bde68d36d6e36c"><div class="ttname"><a href="classxrpl_1_1Number.html#adbf347c98a775ae3c4bde68d36d6e36c">xrpl::Number::Number</a></div><div class="ttdeci">constexpr Number()=default</div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_ae07fcd3fb3a2d61a8c4491e43c3d99b2"><div class="ttname"><a href="classxrpl_1_1Number.html#ae07fcd3fb3a2d61a8c4491e43c3d99b2">xrpl::Number::oneLarge</a></div><div class="ttdeci">static constexpr Number oneLarge()</div><div class="ttdoc">oneLarge is needed because the ranges are private</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00335">Number.cpp:335</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_ae6da4d1edef20960bc7d37aa0a731fe0"><div class="ttname"><a href="classxrpl_1_1Number.html#ae6da4d1edef20960bc7d37aa0a731fe0">xrpl::Number::negative_</a></div><div class="ttdeci">bool negative_</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00212">Number.h:212</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_ae9df36fbc7e4a5663ce40454d30999ce"><div class="ttname"><a href="classxrpl_1_1Number.html#ae9df36fbc7e4a5663ce40454d30999ce">xrpl::Number::mantissaLog</a></div><div class="ttdeci">static int mantissaLog()</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00414">Number.h:414</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_af59083b29186c11c2808135c5ff075b8"><div class="ttname"><a href="classxrpl_1_1Number.html#af59083b29186c11c2808135c5ff075b8">xrpl::Number::root</a></div><div class="ttdeci">friend Number root(Number f, unsigned d)</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00938">Number.cpp:938</a></div></div>
<div class="ttc" id="aconceptxrpl_1_1UnsignedMantissa_html"><div class="ttname"><a href="conceptxrpl_1_1UnsignedMantissa.html">xrpl::UnsignedMantissa</a></div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00065">Number.cpp:65</a></div></div>
<div class="ttc" id="acstddef_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/header/cstddef.html">cstddef</a></div></div>
<div class="ttc" id="acstdint_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/header/cstdint.html">cstdint</a></div></div>
<div class="ttc" id="adistance_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/iterator/distance.html">std::distance</a></div><div class="ttdeci">T distance(T... args)</div></div>
<div class="ttc" id="aend_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/end.html">std::string::end</a></div><div class="ttdeci">T end(T... args)</div></div>
<div class="ttc" id="aexchange_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/exchange.html">std::exchange</a></div><div class="ttdeci">T exchange(T... args)</div></div>
<div class="ttc" id="afind_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/find.html">std::find_if</a></div><div class="ttdeci">T find_if(T... args)</div></div>
<div class="ttc" id="agcd_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/gcd.html">std::gcd</a></div><div class="ttdeci">T gcd(T... args)</div></div>
<div class="ttc" id="ainteger_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint64_t</a></div></div>
<div class="ttc" id="ais_same_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/types/is_same.html">std::is_same_v</a></div><div class="ttdeci">T is_same_v</div></div>
<div class="ttc" id="aiterator_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/header/iterator.html">iterator</a></div></div>
<div class="ttc" id="alimits_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/header/limits.html">limits</a></div></div>
<div class="ttc" id="amake_reverse_iterator_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/iterator/make_reverse_iterator.html">std::make_reverse_iterator</a></div><div class="ttdeci">T make_reverse_iterator(T... args)</div></div>
<div class="ttc" id="anamespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdoc">STL namespace.</div></div>
<div class="ttc" id="anamespacexrpl_html"><div class="ttname"><a href="namespacexrpl.html">xrpl</a></div><div class="ttdoc">Use hash_* containers for keys that do not need a cryptographically secure hashing algorithm.</div><div class="ttdef"><b>Definition</b> <a href="algorithm_8h_source.html#l00006">algorithm.h:6</a></div></div>
<div class="ttc" id="anamespacexrpl_html_a16550239e117c441e0e17bd1c67beeba"><div class="ttname"><a href="namespacexrpl.html#a16550239e117c441e0e17bd1c67beeba">xrpl::LogicError</a></div><div class="ttdeci">void LogicError(std::string const &amp;how) noexcept</div><div class="ttdoc">Called when faulty logic causes a broken invariant.</div><div class="ttdef"><b>Definition</b> <a href="libxrpl_2basics_2contract_8cpp_source.html#l00018">libxrpl/basics/contract.cpp:18</a></div></div>
<div class="ttc" id="anamespacexrpl_html_a34fabf5c9fc5c30e86623b6a5eb0ac7d"><div class="ttname"><a href="namespacexrpl.html#a34fabf5c9fc5c30e86623b6a5eb0ac7d">xrpl::range</a></div><div class="ttdeci">ClosedInterval&lt; T &gt; range(T low, T high)</div><div class="ttdoc">Create a closed range interval.</div><div class="ttdef"><b>Definition</b> <a href="RangeSet_8h_source.html#l00035">RangeSet.h:35</a></div></div>
<div class="ttc" id="anamespacexrpl_html_a5dcb604ca5c6c6fdde47b8d7c20bec54"><div class="ttname"><a href="namespacexrpl.html#a5dcb604ca5c6c6fdde47b8d7c20bec54">xrpl::power</a></div><div class="ttdeci">Number power(Number const &amp;f, unsigned n)</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00915">Number.cpp:915</a></div></div>
<div class="ttc" id="anamespacexrpl_html_a8b5241821c12fc02371c08f79f642801"><div class="ttname"><a href="namespacexrpl.html#a8b5241821c12fc02371c08f79f642801">xrpl::oneSml</a></div><div class="ttdeci">constexpr Number oneSml</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00332">Number.cpp:332</a></div></div>
<div class="ttc" id="anamespacexrpl_html_ab8c3ab80a860de11f3803c7da500418a"><div class="ttname"><a href="namespacexrpl.html#ab8c3ab80a860de11f3803c7da500418a">xrpl::abs</a></div><div class="ttdeci">constexpr Number abs(Number x) noexcept</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00707">Number.h:707</a></div></div>
<div class="ttc" id="anamespacexrpl_html_ab9b22ee3706801318e27c69e357b9a4b"><div class="ttname"><a href="namespacexrpl.html#ab9b22ee3706801318e27c69e357b9a4b">xrpl::divu10</a></div><div class="ttdeci">static unsigned divu10(uint128_t &amp;u)</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00602">Number.cpp:602</a></div></div>
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<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">std::string::length</a></div><div class="ttdeci">T length(T... args)</div></div>
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<div class="ttc" id="astructxrpl_1_1MantissaRange_html_a20f7a2bea468b1da813e45c7881e29f2"><div class="ttname"><a href="structxrpl_1_1MantissaRange.html#a20f7a2bea468b1da813e45c7881e29f2">xrpl::MantissaRange::mantissa_scale</a></div><div class="ttdeci">mantissa_scale</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00074">Number.h:74</a></div></div>
<div class="ttc" id="astructxrpl_1_1MantissaRange_html_a20f7a2bea468b1da813e45c7881e29f2a0b64e613fbbea29706141a2e1a08ffa5"><div class="ttname"><a href="structxrpl_1_1MantissaRange.html#a20f7a2bea468b1da813e45c7881e29f2a0b64e613fbbea29706141a2e1a08ffa5">xrpl::MantissaRange::large</a></div><div class="ttdeci">@ large</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00074">Number.h:74</a></div></div>
<div class="ttc" id="astructxrpl_1_1MantissaRange_html_a20f7a2bea468b1da813e45c7881e29f2a159d6fc6b77bffdac828a75a473aea42"><div class="ttname"><a href="structxrpl_1_1MantissaRange.html#a20f7a2bea468b1da813e45c7881e29f2a159d6fc6b77bffdac828a75a473aea42">xrpl::MantissaRange::small</a></div><div class="ttdeci">@ small</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00074">Number.h:74</a></div></div>
<div class="ttc" id="astructxrpl_1_1MantissaRange_html_a6e5cafa1836416d4069e77a8fb54363c"><div class="ttname"><a href="structxrpl_1_1MantissaRange.html#a6e5cafa1836416d4069e77a8fb54363c">xrpl::MantissaRange::min</a></div><div class="ttdeci">rep min</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00081">Number.h:81</a></div></div>
<div class="ttc" id="astructxrpl_1_1MantissaRange_html_aea1c72494866d67e120bd23737080a7e"><div class="ttname"><a href="structxrpl_1_1MantissaRange.html#aea1c72494866d67e120bd23737080a7e">xrpl::MantissaRange::log</a></div><div class="ttdeci">int log</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00083">Number.h:83</a></div></div>
<div class="ttc" id="astructxrpl_1_1Number_1_1unchecked_html"><div class="ttname"><a href="structxrpl_1_1Number_1_1unchecked.html">xrpl::Number::unchecked</a></div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00226">Number.h:227</a></div></div>
<div class="ttc" id="ato_string_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/to_string.html">std::to_string</a></div><div class="ttdeci">T to_string(T... args)</div></div>
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