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<li class="navelem"><a class="el" href="dir_df9c78dcf3f59a33b12284f95992a64b.html">ripple</a></li><li class="navelem"><a class="el" href="dir_9f69212e4c6e2ca9ec5ab59cd7b6275c.html">app</a></li><li class="navelem"><a class="el" href="dir_29f79f6f29a0be0eebc6c46bea51c866.html">misc</a></li> </ul>
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<div class="title">AMMHelpers.h</div> </div>
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<div class="contents">
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">//------------------------------------------------------------------------------</span></div>
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<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">/*</span></div>
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<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> This file is part of rippled: https://github.com/ripple/rippled</span></div>
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> Copyright (c) 2023 Ripple Labs Inc.</span></div>
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<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"></span> </div>
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<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> Permission to use, copy, modify, and/or distribute this software for any</span></div>
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<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> purpose with or without fee is hereby granted, provided that the above</span></div>
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<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> copyright notice and this permission notice appear in all copies.</span></div>
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<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"></span> </div>
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<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES</span></div>
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<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF</span></div>
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<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR</span></div>
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<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> ANY SPECIAL , DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES</span></div>
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<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN</span></div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF</span></div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.</span></div>
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<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment">*/</span></div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment">//==============================================================================</span></div>
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<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  </div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="preprocessor">#ifndef RIPPLE_APP_MISC_AMMHELPERS_H_INCLUDED</span></div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#define RIPPLE_APP_MISC_AMMHELPERS_H_INCLUDED</span></div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  </div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <ripple/basics/IOUAmount.h></span></div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include <ripple/basics/Number.h></span></div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <ripple/protocol/AMMCore.h></span></div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <ripple/protocol/AmountConversions.h></span></div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include <ripple/protocol/Issue.h></span></div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <ripple/protocol/Quality.h></span></div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include <ripple/protocol/STAccount.h></span></div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include <ripple/protocol/STAmount.h></span></div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include <<a class="codeRef" href="http://en.cppreference.com/w/cpp/header/type_traits.html">type_traits</a>></span></div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  </div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="keyword">namespace </span><a class="code" href="namespaceripple.html">ripple</a> {</div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  </div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> STAmount</div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <a class="code" href="namespaceripple.html#ab8defa1f235abbf44a60ccc6c71c6fdd">ammLPTokens</a>(</div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  STAmount <span class="keyword">const</span>& asset1,</div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  STAmount <span class="keyword">const</span>& asset2,</div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  Issue <span class="keyword">const</span>& lptIssue);</div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  </div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> STAmount</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <a class="code" href="namespaceripple.html#a0b2344222057d8b5b9923b2911962879">lpTokensIn</a>(</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  STAmount <span class="keyword">const</span>& asset1Balance,</div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  STAmount <span class="keyword">const</span>& asset1Deposit,</div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  STAmount <span class="keyword">const</span>& lptAMMBalance,</div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <a class="codeRef" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> tfee);</div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  </div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> STAmount</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <a class="code" href="namespaceripple.html#a573eb2cecf652856fc74fb1dfbaf8c2a">ammAssetIn</a>(</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  STAmount <span class="keyword">const</span>& asset1Balance,</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  STAmount <span class="keyword">const</span>& lptAMMBalance,</div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  STAmount <span class="keyword">const</span>& lpTokens,</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <a class="codeRef" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> tfee);</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  </div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> STAmount</div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <a class="code" href="namespaceripple.html#a4c964d1f7629a28f9b916e2d25b39bcd">lpTokensOut</a>(</div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  STAmount <span class="keyword">const</span>& asset1Balance,</div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  STAmount <span class="keyword">const</span>& asset1Withdraw,</div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  STAmount <span class="keyword">const</span>& lptAMMBalance,</div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <a class="codeRef" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> tfee);</div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  </div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> STAmount</div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> <a class="code" href="namespaceripple.html#aea4620f7a5356019edee3be624729c6d">withdrawByTokens</a>(</div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  STAmount <span class="keyword">const</span>& assetBalance,</div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  STAmount <span class="keyword">const</span>& lptAMMBalance,</div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  STAmount <span class="keyword">const</span>& lpTokens,</div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <a class="codeRef" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> tfee);</div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  </div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="keyword">inline</span> <span class="keywordtype">bool</span></div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> withinRelativeDistance(</div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  Quality <span class="keyword">const</span>& calcQuality,</div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  Quality <span class="keyword">const</span>& reqQuality,</div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  Number <span class="keyword">const</span>& dist)</div>
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<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> {</div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="keywordflow">if</span> (calcQuality == reqQuality)</div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keyword">auto</span> <span class="keyword">const</span> [<a class="codeRef" href="http://en.cppreference.com/w/cpp/algorithm/min.html">min</a>, <a class="codeRef" href="http://en.cppreference.com/w/cpp/algorithm/max.html">max</a>] = <a class="codeRef" href="http://en.cppreference.com/w/cpp/algorithm/minmax.html">std::minmax</a>(calcQuality, reqQuality);</div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="comment">// Relative distance is (max - min)/max. Can't use basic operations</span></div>
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<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="comment">// on Quality. Have to use Quality::rate() instead, which</span></div>
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<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="comment">// is inverse of quality: (1/max.rate - 1/min.rate)/(1/max.rate)</span></div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="keywordflow">return</span> ((<a class="codeRef" href="http://en.cppreference.com/w/cpp/algorithm/min.html">min</a>.rate() - <a class="codeRef" href="http://en.cppreference.com/w/cpp/algorithm/max.html">max</a>.rate()) / <a class="codeRef" href="http://en.cppreference.com/w/cpp/algorithm/min.html">min</a>.rate()) < dist;</div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> }</div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  </div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> <span class="comment">// clang-format off</span></div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Amt></div>
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<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  requires(</div>
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<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  std::is_same_v<Amt, STAmount> || std::is_same_v<Amt, IOUAmount> ||</div>
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<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  std::is_same_v<Amt, XRPAmount>)</div>
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<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> <span class="keywordtype">bool</span></div>
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<div class="line"><a name="l00139"></a><span class="lineno"> 139</span> withinRelativeDistance(Amt <span class="keyword">const</span>& calc, Amt <span class="keyword">const</span>& req, Number <span class="keyword">const</span>& dist)</div>
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<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> {</div>
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<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="keywordflow">if</span> (calc == req)</div>
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<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keyword">auto</span> <span class="keyword">const</span> [<a class="codeRef" href="http://en.cppreference.com/w/cpp/algorithm/min.html">min</a>, <a class="codeRef" href="http://en.cppreference.com/w/cpp/algorithm/max.html">max</a>] = <a class="codeRef" href="http://en.cppreference.com/w/cpp/algorithm/minmax.html">std::minmax</a>(calc, req);</div>
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<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="keywordflow">return</span> ((max - min) / max) < dist;</div>
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<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> }</div>
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<div class="line"><a name="l00146"></a><span class="lineno"> 146</span> <span class="comment">// clang-format on</span></div>
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<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  </div>
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<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> <span class="keyword">template</span> <<span class="keyword">typename</span> TIn, <span class="keyword">typename</span> TOut></div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span> <a class="codeRef" href="http://en.cppreference.com/w/cpp/utility/optional.html">std::optional<TAmounts<TIn, TOut></a>></div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> changeSpotPriceQuality(</div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  TAmounts<TIn, TOut> <span class="keyword">const</span>& pool,</div>
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<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  Quality <span class="keyword">const</span>& quality,</div>
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<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <a class="codeRef" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> tfee)</div>
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<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> {</div>
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<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <span class="keyword">auto</span> <span class="keyword">const</span> f = <a class="code" href="namespaceripple.html#a7894756905fee556c1541cd1de1f697a">feeMult</a>(tfee); <span class="comment">// 1 - fee</span></div>
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<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="keyword">auto</span> <span class="keyword">const</span>& a = f;</div>
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<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <span class="keyword">auto</span> <span class="keyword">const</span> b = pool.in * (1 + f);</div>
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<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  Number <span class="keyword">const</span> c = pool.in * pool.in - pool.in * pool.out * <a class="code" href="namespaceripple_1_1keylet.html#a521be311ed98c7c94eeff3441e6bf85f">quality</a>.rate();</div>
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<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="keywordflow">if</span> (<span class="keyword">auto</span> <span class="keyword">const</span> res = b * b - 4 * a * c; res < 0)</div>
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<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <span class="keywordflow">return</span> std::nullopt;</div>
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<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<span class="keyword">auto</span> <span class="keyword">const</span> nTakerPaysPropose = (-b + <a class="code" href="namespaceripple.html#aecb9ae1add070266b1be59ff570ec713">root2</a>(res)) / (2 * a);</div>
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<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  nTakerPaysPropose > 0)</div>
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<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  {</div>
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<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="keyword">auto</span> <span class="keyword">const</span> nTakerPays = [&]() {</div>
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<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="comment">// The fee might make the AMM offer quality less than CLOB quality.</span></div>
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<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="comment">// Therefore, AMM offer has to satisfy this constraint: o / i >= q.</span></div>
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<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <span class="comment">// Substituting o with swapAssetIn() gives:</span></div>
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<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <span class="comment">// i <= O / q - I / (1 - fee).</span></div>
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<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="keyword">auto</span> <span class="keyword">const</span> nTakerPaysConstraint =</div>
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<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  pool.out * <a class="code" href="namespaceripple_1_1keylet.html#a521be311ed98c7c94eeff3441e6bf85f">quality</a>.rate() - pool.in / f;</div>
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<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <span class="keywordflow">if</span> (nTakerPaysPropose > nTakerPaysConstraint)</div>
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<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <span class="keywordflow">return</span> nTakerPaysConstraint;</div>
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<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <span class="keywordflow">return</span> nTakerPaysPropose;</div>
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<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  }();</div>
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<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <span class="keywordflow">if</span> (nTakerPays <= 0)</div>
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<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="keywordflow">return</span> std::nullopt;</div>
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<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <span class="keyword">auto</span> <span class="keyword">const</span> takerPays = toAmount<TIn>(</div>
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<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <a class="code" href="namespaceripple.html#a35d75f3e8c1d99beb8c834d767070d8c">getIssue</a>(pool.in), nTakerPays, Number::rounding_mode::upward);</div>
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<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  <span class="comment">// should not fail</span></div>
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<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <span class="keywordflow">if</span> (<span class="keyword">auto</span> <span class="keyword">const</span> amounts =</div>
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<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  TAmounts<TIn, TOut>{</div>
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<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  takerPays, swapAssetIn(pool, takerPays, tfee)};</div>
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<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  Quality{amounts} < <a class="code" href="namespaceripple_1_1keylet.html#a521be311ed98c7c94eeff3441e6bf85f">quality</a> &&</div>
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<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  !withinRelativeDistance(Quality{amounts}, <a class="code" href="namespaceripple_1_1keylet.html#a521be311ed98c7c94eeff3441e6bf85f">quality</a>, Number(1, -7)))</div>
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<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  Throw<std::runtime_error>(<span class="stringliteral">"changeSpotPriceQuality failed"</span>);</div>
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<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <span class="keywordflow">else</span></div>
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<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keywordflow">return</span> amounts;</div>
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<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  }</div>
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<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <span class="keywordflow">return</span> std::nullopt;</div>
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<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> }</div>
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<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  </div>
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<div class="line"><a name="l00224"></a><span class="lineno"> 224</span> <span class="keyword">template</span> <<span class="keyword">typename</span> TIn, <span class="keyword">typename</span> TOut></div>
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<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> TOut</div>
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<div class="line"><a name="l00226"></a><span class="lineno"> 226</span> swapAssetIn(</div>
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<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  TAmounts<TIn, TOut> <span class="keyword">const</span>& pool,</div>
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<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  TIn <span class="keyword">const</span>& assetIn,</div>
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<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <a class="codeRef" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> tfee)</div>
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<div class="line"><a name="l00230"></a><span class="lineno"> 230</span> {</div>
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<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="keywordflow">return</span> toAmount<TOut>(</div>
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<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <a class="code" href="namespaceripple.html#a35d75f3e8c1d99beb8c834d767070d8c">getIssue</a>(pool.out),</div>
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<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  pool.out - (pool.in * pool.out) / (pool.in + assetIn * <a class="code" href="namespaceripple.html#a7894756905fee556c1541cd1de1f697a">feeMult</a>(tfee)),</div>
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<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  Number::rounding_mode::downward);</div>
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<div class="line"><a name="l00235"></a><span class="lineno"> 235</span> }</div>
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<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  </div>
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<div class="line"><a name="l00246"></a><span class="lineno"> 246</span> <span class="keyword">template</span> <<span class="keyword">typename</span> TIn, <span class="keyword">typename</span> TOut></div>
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<div class="line"><a name="l00247"></a><span class="lineno"> 247</span> TIn</div>
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<div class="line"><a name="l00248"></a><span class="lineno"> 248</span> swapAssetOut(</div>
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<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  TAmounts<TIn, TOut> <span class="keyword">const</span>& pool,</div>
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<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  TOut <span class="keyword">const</span>& assetOut,</div>
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<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <a class="codeRef" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> tfee)</div>
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<div class="line"><a name="l00252"></a><span class="lineno"> 252</span> {</div>
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<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <span class="keywordflow">return</span> toAmount<TIn>(</div>
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<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <a class="code" href="namespaceripple.html#a35d75f3e8c1d99beb8c834d767070d8c">getIssue</a>(pool.in),</div>
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<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  ((pool.in * pool.out) / (pool.out - assetOut) - pool.in) /</div>
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<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <a class="code" href="namespaceripple.html#a7894756905fee556c1541cd1de1f697a">feeMult</a>(tfee),</div>
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<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  Number::rounding_mode::upward);</div>
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<div class="line"><a name="l00258"></a><span class="lineno"> 258</span> }</div>
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<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  </div>
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<div class="line"><a name="l00262"></a><span class="lineno"> 262</span> Number</div>
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<div class="line"><a name="l00263"></a><span class="lineno"> 263</span> <a class="code" href="namespaceripple.html#a58b7851104129e42da9c5260ba6f00d6">square</a>(Number <span class="keyword">const</span>& n);</div>
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<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  </div>
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<div class="line"><a name="l00276"></a><span class="lineno"> 276</span> STAmount</div>
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<div class="line"><a name="l00277"></a><span class="lineno"> 277</span> <a class="code" href="namespaceripple.html#a0e17cbd5597a6159dfa1045e6b2e951e">adjustLPTokens</a>(</div>
|
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<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  STAmount <span class="keyword">const</span>& lptAMMBalance,</div>
|
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<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  STAmount <span class="keyword">const</span>& lpTokens,</div>
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<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  <span class="keywordtype">bool</span> isDeposit);</div>
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<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  </div>
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<div class="line"><a name="l00293"></a><span class="lineno"> 293</span> <a class="codeRef" href="http://en.cppreference.com/w/cpp/utility/tuple.html">std::tuple<STAmount, std::optional<STAmount></a>, STAmount></div>
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<div class="line"><a name="l00294"></a><span class="lineno"> 294</span> <a class="code" href="namespaceripple.html#a87134fa08d20568d7d5e469b616601e4">adjustAmountsByLPTokens</a>(</div>
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<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  STAmount <span class="keyword">const</span>& amountBalance,</div>
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<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  STAmount <span class="keyword">const</span>& amount,</div>
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<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  <a class="codeRef" href="http://en.cppreference.com/w/cpp/utility/optional.html">std::optional<STAmount></a> <span class="keyword">const</span>& amount2,</div>
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<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  STAmount <span class="keyword">const</span>& lptAMMBalance,</div>
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<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  STAmount <span class="keyword">const</span>& lpTokens,</div>
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<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  <a class="codeRef" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> tfee,</div>
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<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  <span class="keywordtype">bool</span> isDeposit);</div>
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<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  </div>
|
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<div class="line"><a name="l00306"></a><span class="lineno"> 306</span> Number</div>
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<div class="line"><a name="l00307"></a><span class="lineno"> 307</span> <a class="code" href="namespaceripple.html#a3d22714f28b806ea5c702eba2db5fbc2">solveQuadraticEq</a>(Number <span class="keyword">const</span>& a, Number <span class="keyword">const</span>& b, Number <span class="keyword">const</span>& c);</div>
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<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  </div>
|
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<div class="line"><a name="l00309"></a><span class="lineno"> 309</span> } <span class="comment">// namespace ripple</span></div>
|
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<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  </div>
|
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<div class="line"><a name="l00311"></a><span class="lineno"> 311</span> <span class="preprocessor">#endif // RIPPLE_APP_MISC_AMMHELPERS_H_INCLUDED</span></div>
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</div><!-- fragment --></div><!-- contents -->
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<div class="ttc" id="anamespaceripple_html_a4c964d1f7629a28f9b916e2d25b39bcd"><div class="ttname"><a href="namespaceripple.html#a4c964d1f7629a28f9b916e2d25b39bcd">ripple::lpTokensOut</a></div><div class="ttdeci">STAmount lpTokensOut(STAmount const &asset1Balance, STAmount const &asset1Withdraw, STAmount const &lptAMMBalance, std::uint16_t tfee)</div><div class="ttdef"><b>Definition:</b> <a href="AMMHelpers_8cpp_source.html#l00090">AMMHelpers.cpp:90</a></div></div>
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<div class="ttc" id="anamespaceripple_html_aecb9ae1add070266b1be59ff570ec713"><div class="ttname"><a href="namespaceripple.html#aecb9ae1add070266b1be59ff570ec713">ripple::root2</a></div><div class="ttdeci">Number root2(Number f)</div><div class="ttdef"><b>Definition:</b> <a href="Number_8cpp_source.html#l00689">Number.cpp:689</a></div></div>
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<div class="ttc" id="anamespaceripple_html_a3d22714f28b806ea5c702eba2db5fbc2"><div class="ttname"><a href="namespaceripple.html#a3d22714f28b806ea5c702eba2db5fbc2">ripple::solveQuadraticEq</a></div><div class="ttdeci">Number solveQuadraticEq(Number const &a, Number const &b, Number const &c)</div><div class="ttdef"><b>Definition:</b> <a href="AMMHelpers_8cpp_source.html#l00201">AMMHelpers.cpp:201</a></div></div>
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<div class="ttc" id="anamespaceripple_html_a0b2344222057d8b5b9923b2911962879"><div class="ttname"><a href="namespaceripple.html#a0b2344222057d8b5b9923b2911962879">ripple::lpTokensIn</a></div><div class="ttdeci">STAmount lpTokensIn(STAmount const &asset1Balance, STAmount const &asset1Deposit, STAmount const &lptAMMBalance, std::uint16_t tfee)</div><div class="ttdef"><b>Definition:</b> <a href="AMMHelpers_8cpp_source.html#l00041">AMMHelpers.cpp:41</a></div></div>
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<div class="ttc" id="anamespaceripple_html_a7894756905fee556c1541cd1de1f697a"><div class="ttname"><a href="namespaceripple.html#a7894756905fee556c1541cd1de1f697a">ripple::feeMult</a></div><div class="ttdeci">Number feeMult(std::uint16_t tfee)</div><div class="ttdoc">Get fee multiplier (1 - tfee) @tfee trading fee in basis points.</div><div class="ttdef"><b>Definition:</b> <a href="AMMCore_8h_source.html#l00118">AMMCore.h:118</a></div></div>
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<div class="ttc" id="anamespaceripple_html_a87134fa08d20568d7d5e469b616601e4"><div class="ttname"><a href="namespaceripple.html#a87134fa08d20568d7d5e469b616601e4">ripple::adjustAmountsByLPTokens</a></div><div class="ttdeci">std::tuple< STAmount, std::optional< STAmount >, STAmount > adjustAmountsByLPTokens(STAmount const &amountBalance, STAmount const &amount, std::optional< STAmount > const &amount2, STAmount const &lptAMMBalance, STAmount const &lpTokens, std::uint16_t tfee, bool isDeposit)</div><div class="ttdef"><b>Definition:</b> <a href="AMMHelpers_8cpp_source.html#l00147">AMMHelpers.cpp:147</a></div></div>
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<div class="ttc" id="atuple_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/tuple.html">std::tuple</a></div></div>
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<div class="ttc" id="anamespaceripple_html_a58b7851104129e42da9c5260ba6f00d6"><div class="ttname"><a href="namespaceripple.html#a58b7851104129e42da9c5260ba6f00d6">ripple::square</a></div><div class="ttdeci">Number square(Number const &n)</div><div class="ttdef"><b>Definition:</b> <a href="AMMHelpers_8cpp_source.html#l00127">AMMHelpers.cpp:127</a></div></div>
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<div class="ttc" id="anamespaceripple_html_aea4620f7a5356019edee3be624729c6d"><div class="ttname"><a href="namespaceripple.html#aea4620f7a5356019edee3be624729c6d">ripple::withdrawByTokens</a></div><div class="ttdeci">STAmount withdrawByTokens(STAmount const &assetBalance, STAmount const &lptAMMBalance, STAmount const &lpTokens, std::uint16_t tfee)</div><div class="ttdef"><b>Definition:</b> <a href="AMMHelpers_8cpp_source.html#l00114">AMMHelpers.cpp:114</a></div></div>
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<div class="ttc" id="anamespaceripple_html_a35d75f3e8c1d99beb8c834d767070d8c"><div class="ttname"><a href="namespaceripple.html#a35d75f3e8c1d99beb8c834d767070d8c">ripple::getIssue</a></div><div class="ttdeci">Issue getIssue(T const &amt)</div><div class="ttdef"><b>Definition:</b> <a href="AmountConversions_8h_source.html#l00156">AmountConversions.h:156</a></div></div>
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<div class="ttc" id="aminmax_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/minmax.html">std::minmax</a></div><div class="ttdeci">T minmax(T... args)</div></div>
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<div class="ttc" id="anamespaceripple_html_a573eb2cecf652856fc74fb1dfbaf8c2a"><div class="ttname"><a href="namespaceripple.html#a573eb2cecf652856fc74fb1dfbaf8c2a">ripple::ammAssetIn</a></div><div class="ttdeci">STAmount ammAssetIn(STAmount const &asset1Balance, STAmount const &lptAMMBalance, STAmount const &lpTokens, std::uint16_t tfee)</div><div class="ttdef"><b>Definition:</b> <a href="AMMHelpers_8cpp_source.html#l00067">AMMHelpers.cpp:67</a></div></div>
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<div class="ttc" id="ainteger_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a></div></div>
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<div class="ttc" id="amin_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a></div><div class="ttdeci">T min(T... args)</div></div>
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<div class="ttc" id="anamespaceripple_html"><div class="ttname"><a href="namespaceripple.html">ripple</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="RCLCensorshipDetector_8h_source.html#l00029">RCLCensorshipDetector.h:29</a></div></div>
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<div class="ttc" id="anamespaceripple_html_ab8defa1f235abbf44a60ccc6c71c6fdd"><div class="ttname"><a href="namespaceripple.html#ab8defa1f235abbf44a60ccc6c71c6fdd">ripple::ammLPTokens</a></div><div class="ttdeci">STAmount ammLPTokens(STAmount const &asset1, STAmount const &asset2, Issue const &lptIssue)</div><div class="ttdef"><b>Definition:</b> <a href="AMMHelpers_8cpp_source.html#l00025">AMMHelpers.cpp:25</a></div></div>
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<div class="ttc" id="aoptional_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/optional.html">std::optional</a></div></div>
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<div class="ttc" id="anamespaceripple_1_1keylet_html_a521be311ed98c7c94eeff3441e6bf85f"><div class="ttname"><a href="namespaceripple_1_1keylet.html#a521be311ed98c7c94eeff3441e6bf85f">ripple::keylet::quality</a></div><div class="ttdeci">Keylet quality(Keylet const &k, std::uint64_t q) noexcept</div><div class="ttdoc">The initial directory page for a specific quality.</div><div class="ttdef"><b>Definition:</b> <a href="Indexes_8cpp_source.html#l00236">Indexes.cpp:236</a></div></div>
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<div class="ttc" id="amax_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a></div><div class="ttdeci">T max(T... args)</div></div>
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<div class="ttc" id="anamespaceripple_html_a0e17cbd5597a6159dfa1045e6b2e951e"><div class="ttname"><a href="namespaceripple.html#a0e17cbd5597a6159dfa1045e6b2e951e">ripple::adjustLPTokens</a></div><div class="ttdeci">STAmount adjustLPTokens(STAmount const &lptAMMBalance, STAmount const &lpTokens, bool isDeposit)</div><div class="ttdef"><b>Definition:</b> <a href="AMMHelpers_8cpp_source.html#l00133">AMMHelpers.cpp:133</a></div></div>
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<div class="ttc" id="atype_traits_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/header/type_traits.html">type_traits</a></div></div>
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