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<li class="navelem"><a class="el" href="dir_a62226f9e3a6c7c5a3be455e2f87ae01.html">xrpld</a></li><li class="navelem"><a class="el" href="dir_c69db3203fa08a9ff994909ba6ee9783.html">app</a></li><li class="navelem"><a class="el" href="dir_2860c73e71f9ef894ba4acb1eeae5483.html">misc</a></li><li class="navelem"><a class="el" href="dir_c80815dbdc2122d1b16ef343a4cf0d47.html">detail</a></li> </ul>
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<div class="headertitle"><div class="title">AMMHelpers.cpp</div></div>
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<div class="contents">
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<div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">//------------------------------------------------------------------------------</span></div>
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<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment">/*</span></div>
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<div class="line"><a id="l00003" 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 id="l00004" 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 id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment"></span> </div>
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<div class="line"><a id="l00006" 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 id="l00007" 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 id="l00008" 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 id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="comment"></span> </div>
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<div class="line"><a id="l00010" 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 id="l00011" 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 id="l00012" 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 id="l00013" 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 id="l00014" 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 id="l00015" 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 id="l00016" 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 id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="comment">*/</span></div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="comment">//==============================================================================</span></div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> </div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include <xrpld/app/misc/AMMHelpers.h></span></div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> </div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceripple.html">ripple</a> {</div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> </div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span>STAmount</div>
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<div class="foldopen" id="foldopen00025" data-start="{" data-end="}">
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"><a class="line" href="namespaceripple.html#ab8defa1f235abbf44a60ccc6c71c6fdd"> 25</a></span><a class="code hl_function" href="namespaceripple.html#ab8defa1f235abbf44a60ccc6c71c6fdd">ammLPTokens</a>(</div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& asset1,</div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& asset2,</div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <a class="code hl_class" href="classripple_1_1Issue.html">Issue</a> <span class="keyword">const</span>& lptIssue)</div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span>{</div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> <span class="comment">// AMM invariant: sqrt(asset1 * asset2) >= LPTokensBalance</span></div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <span class="keyword">auto</span> <span class="keyword">const</span> rounding =</div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <a class="code hl_function" href="namespaceripple.html#a016ba9b58107c542ef2dd1fad3d7226c">isFeatureEnabled</a>(fixAMMv1_3) ? <a class="code hl_enumvalue" href="classripple_1_1Number.html#a33e3d8e7a95979bd1eb22c59703c8534a25a8f50fce6cbdd3a8c0a3aa20126324">Number::downward</a> : <a class="code hl_function" href="classripple_1_1Number.html#a69a91a7aca13639e1705b7fb94ee78d5">Number::getround</a>();</div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <a class="code hl_class" href="classripple_1_1NumberRoundModeGuard.html">NumberRoundModeGuard</a> g(rounding);</div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="keyword">auto</span> <span class="keyword">const</span> tokens = <a class="code hl_function" href="namespaceripple.html#aecb9ae1add070266b1be59ff570ec713">root2</a>(asset1 * asset2);</div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceripple.html#a4ad5ac9da897292a28eea43d041c15a1">toSTAmount</a>(lptIssue, tokens);</div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span>}</div>
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</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> </div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span><span class="comment">/*</span></div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span><span class="comment"> * Equation 3:</span></div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span><span class="comment"> * t = T * [(b/B - (sqrt(f2**2 - b/(B*f1)) - f2)) /</span></div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span><span class="comment"> * (1 + sqrt(f2**2 - b/(B*f1)) - f2)]</span></div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="comment"> * where f1 = 1 - tfee, f2 = (1 - tfee/2)/f1</span></div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span><span class="comment"> */</span></div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span>STAmount</div>
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<div class="foldopen" id="foldopen00045" data-start="{" data-end="}">
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"><a class="line" href="namespaceripple.html#acc8d16c54c3e8f38d200080e99103279"> 45</a></span><a class="code hl_function" href="namespaceripple.html#acc8d16c54c3e8f38d200080e99103279">lpTokensOut</a>(</div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& asset1Balance,</div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& asset1Deposit,</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& lptAMMBalance,</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> tfee)</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span>{</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <span class="keyword">auto</span> <span class="keyword">const</span> f1 = <a class="code hl_function" href="namespaceripple.html#a7894756905fee556c1541cd1de1f697a">feeMult</a>(tfee);</div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="keyword">auto</span> <span class="keyword">const</span> f2 = <a class="code hl_function" href="namespaceripple.html#ac78c8c0642bbbe33db633286fa147381">feeMultHalf</a>(tfee) / f1;</div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <a class="code hl_class" href="classripple_1_1Number.html">Number</a> <span class="keyword">const</span> r = asset1Deposit / asset1Balance;</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keyword">auto</span> <span class="keyword">const</span> c = <a class="code hl_function" href="namespaceripple.html#aecb9ae1add070266b1be59ff570ec713">root2</a>(f2 * f2 + r / f1) - f2;</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespaceripple.html#a016ba9b58107c542ef2dd1fad3d7226c">isFeatureEnabled</a>(fixAMMv1_3))</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> {</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keyword">auto</span> <span class="keyword">const</span> t = lptAMMBalance * (r - c) / (1 + c);</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceripple.html#a4ad5ac9da897292a28eea43d041c15a1">toSTAmount</a>(lptAMMBalance.<a class="code hl_function" href="classripple_1_1STAmount.html#acab76380a95d902071fd26ab3425bbe5">issue</a>(), t);</div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> }</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="keywordflow">else</span></div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> {</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="comment">// minimize tokens out</span></div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="keyword">auto</span> <span class="keyword">const</span> frac = (r - c) / (1 + c);</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceripple.html#a5adb540ae694e45bca2ad089fff15128">multiply</a>(lptAMMBalance, frac, <a class="code hl_enumvalue" href="classripple_1_1Number.html#a33e3d8e7a95979bd1eb22c59703c8534a25a8f50fce6cbdd3a8c0a3aa20126324">Number::downward</a>);</div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> }</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span>}</div>
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</div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> </div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span><span class="comment">/* Equation 4 solves equation 3 for b:</span></div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span><span class="comment"> * Let f1 = 1 - tfee, f2 = (1 - tfee/2)/f1, t1 = t/T, t2 = 1 + t1, R = b/B</span></div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span><span class="comment"> * then</span></div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span><span class="comment"> * t1 = [R - sqrt(f2**2 + R/f1) + f2] / [1 + sqrt(f2**2 + R/f1] - f2] =></span></div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span><span class="comment"> * sqrt(f2**2 + R/f1)*(t1 + 1) = R + f2 + t1*f2 - t1 =></span></div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span><span class="comment"> * sqrt(f2**2 + R/f1)*t2 = R + t2*f2 - t1 =></span></div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span><span class="comment"> * sqrt(f2**2 + R/f1) = R/t2 + f2 - t1/t2, let d = f2 - t1/t2 =></span></div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span><span class="comment"> * sqrt(f2**2 + R/f1) = R/t2 + d =></span></div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span><span class="comment"> * f2**2 + R/f1 = (R/t2)**2 +2*d*R/t2 + d**2 =></span></div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span><span class="comment"> * (R/t2)**2 + R*(2*d/t2 - 1/f1) + d**2 - f2**2 = 0</span></div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span><span class="comment"> */</span></div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span>STAmount</div>
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<div class="foldopen" id="foldopen00080" data-start="{" data-end="}">
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"><a class="line" href="namespaceripple.html#a573eb2cecf652856fc74fb1dfbaf8c2a"> 80</a></span><a class="code hl_function" href="namespaceripple.html#a573eb2cecf652856fc74fb1dfbaf8c2a">ammAssetIn</a>(</div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& asset1Balance,</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& lptAMMBalance,</div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& lpTokens,</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> tfee)</div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span>{</div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="keyword">auto</span> <span class="keyword">const</span> f1 = <a class="code hl_function" href="namespaceripple.html#a7894756905fee556c1541cd1de1f697a">feeMult</a>(tfee);</div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="keyword">auto</span> <span class="keyword">const</span> f2 = <a class="code hl_function" href="namespaceripple.html#ac78c8c0642bbbe33db633286fa147381">feeMultHalf</a>(tfee) / f1;</div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="keyword">auto</span> <span class="keyword">const</span> t1 = lpTokens / lptAMMBalance;</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="keyword">auto</span> <span class="keyword">const</span> t2 = 1 + t1;</div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <span class="keyword">auto</span> <span class="keyword">const</span> d = f2 - t1 / t2;</div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="keyword">auto</span> <span class="keyword">const</span> a = 1 / (t2 * t2);</div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="keyword">auto</span> <span class="keyword">const</span> b = 2 * d / t2 - 1 / f1;</div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="keyword">auto</span> <span class="keyword">const</span> c = d * d - f2 * f2;</div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespaceripple.html#a016ba9b58107c542ef2dd1fad3d7226c">isFeatureEnabled</a>(fixAMMv1_3))</div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> {</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceripple.html#a4ad5ac9da897292a28eea43d041c15a1">toSTAmount</a>(</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> asset1Balance.<a class="code hl_function" href="classripple_1_1STAmount.html#acab76380a95d902071fd26ab3425bbe5">issue</a>(), asset1Balance * <a class="code hl_function" href="namespaceripple.html#a3d22714f28b806ea5c702eba2db5fbc2">solveQuadraticEq</a>(a, b, c));</div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> }</div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="keywordflow">else</span></div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> {</div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="comment">// maximize deposit</span></div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="keyword">auto</span> <span class="keyword">const</span> frac = <a class="code hl_function" href="namespaceripple.html#a3d22714f28b806ea5c702eba2db5fbc2">solveQuadraticEq</a>(a, b, c);</div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceripple.html#a5adb540ae694e45bca2ad089fff15128">multiply</a>(asset1Balance, frac, <a class="code hl_enumvalue" href="classripple_1_1Number.html#a33e3d8e7a95979bd1eb22c59703c8534ade4db21da96eedd46544ea52ce11a6f2">Number::upward</a>);</div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> }</div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span>}</div>
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</div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> </div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span><span class="comment">/* Equation 7:</span></div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span><span class="comment"> * t = T * (c - sqrt(c**2 - 4*R))/2</span></div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span><span class="comment"> * where R = b/B, c = R*fee + 2 - fee</span></div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span><span class="comment"> */</span></div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span>STAmount</div>
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<div class="foldopen" id="foldopen00112" data-start="{" data-end="}">
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"><a class="line" href="namespaceripple.html#ac6b80065bed621a7322e3cc6a4f3833f"> 112</a></span><a class="code hl_function" href="namespaceripple.html#ac6b80065bed621a7322e3cc6a4f3833f">lpTokensIn</a>(</div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& asset1Balance,</div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& asset1Withdraw,</div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& lptAMMBalance,</div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> tfee)</div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span>{</div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <a class="code hl_class" href="classripple_1_1Number.html">Number</a> <span class="keyword">const</span> fr = asset1Withdraw / asset1Balance;</div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <span class="keyword">auto</span> <span class="keyword">const</span> f1 = <a class="code hl_function" href="namespaceripple.html#aa8871e2f35cee24497183274c0bab5fd">getFee</a>(tfee);</div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="keyword">auto</span> <span class="keyword">const</span> c = fr * f1 + 2 - f1;</div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespaceripple.html#a016ba9b58107c542ef2dd1fad3d7226c">isFeatureEnabled</a>(fixAMMv1_3))</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> {</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <span class="keyword">auto</span> <span class="keyword">const</span> t = lptAMMBalance * (c - <a class="code hl_function" href="namespaceripple.html#aecb9ae1add070266b1be59ff570ec713">root2</a>(c * c - 4 * fr)) / 2;</div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceripple.html#a4ad5ac9da897292a28eea43d041c15a1">toSTAmount</a>(lptAMMBalance.<a class="code hl_function" href="classripple_1_1STAmount.html#acab76380a95d902071fd26ab3425bbe5">issue</a>(), t);</div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> }</div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="keywordflow">else</span></div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> {</div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <span class="comment">// maximize tokens in</span></div>
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<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="keyword">auto</span> <span class="keyword">const</span> frac = (c - <a class="code hl_function" href="namespaceripple.html#aecb9ae1add070266b1be59ff570ec713">root2</a>(c * c - 4 * fr)) / 2;</div>
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<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceripple.html#a5adb540ae694e45bca2ad089fff15128">multiply</a>(lptAMMBalance, frac, <a class="code hl_enumvalue" href="classripple_1_1Number.html#a33e3d8e7a95979bd1eb22c59703c8534ade4db21da96eedd46544ea52ce11a6f2">Number::upward</a>);</div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> }</div>
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<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span>}</div>
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</div>
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> </div>
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<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span><span class="comment">/* Equation 8 solves equation 7 for b:</span></div>
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<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span><span class="comment"> * c - 2*t/T = sqrt(c**2 - 4*R) =></span></div>
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<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span><span class="comment"> * c**2 - 4*c*t/T + 4*t**2/T**2 = c**2 - 4*R =></span></div>
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<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span><span class="comment"> * -4*c*t/T + 4*t**2/T**2 = -4*R =></span></div>
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<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span><span class="comment"> * -c*t/T + t**2/T**2 = -R -=></span></div>
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<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span><span class="comment"> * substitute c = R*f + 2 - f =></span></div>
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<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span><span class="comment"> * -(t/T)*(R*f + 2 - f) + (t/T)**2 = -R, let t1 = t/T =></span></div>
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<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span><span class="comment"> * -t1*R*f -2*t1 +t1*f +t1**2 = -R =></span></div>
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span><span class="comment"> * R = (t1**2 + t1*(f - 2)) / (t1*f - 1)</span></div>
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<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span><span class="comment"> */</span></div>
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span>STAmount</div>
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<div class="foldopen" id="foldopen00145" data-start="{" data-end="}">
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<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"><a class="line" href="namespaceripple.html#a9d783bf776923f332c06e9d85a3fd4db"> 145</a></span><a class="code hl_function" href="namespaceripple.html#a9d783bf776923f332c06e9d85a3fd4db">ammAssetOut</a>(</div>
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<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& assetBalance,</div>
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<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& lptAMMBalance,</div>
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& lpTokens,</div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> tfee)</div>
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span>{</div>
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <span class="keyword">auto</span> <span class="keyword">const</span> f = <a class="code hl_function" href="namespaceripple.html#aa8871e2f35cee24497183274c0bab5fd">getFee</a>(tfee);</div>
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<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <a class="code hl_class" href="classripple_1_1Number.html">Number</a> <span class="keyword">const</span> t1 = lpTokens / lptAMMBalance;</div>
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<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespaceripple.html#a016ba9b58107c542ef2dd1fad3d7226c">isFeatureEnabled</a>(fixAMMv1_3))</div>
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<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> {</div>
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<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> <span class="keyword">auto</span> <span class="keyword">const</span> b = assetBalance * (t1 * t1 - t1 * (2 - f)) / (t1 * f - 1);</div>
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<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceripple.html#a4ad5ac9da897292a28eea43d041c15a1">toSTAmount</a>(assetBalance.<a class="code hl_function" href="classripple_1_1STAmount.html#acab76380a95d902071fd26ab3425bbe5">issue</a>(), b);</div>
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<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> }</div>
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<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> <span class="keywordflow">else</span></div>
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<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> {</div>
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<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> <span class="comment">// minimize withdraw</span></div>
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<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> <span class="keyword">auto</span> <span class="keyword">const</span> frac = (t1 * t1 - t1 * (2 - f)) / (t1 * f - 1);</div>
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<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceripple.html#a5adb540ae694e45bca2ad089fff15128">multiply</a>(assetBalance, frac, <a class="code hl_enumvalue" href="classripple_1_1Number.html#a33e3d8e7a95979bd1eb22c59703c8534a25a8f50fce6cbdd3a8c0a3aa20126324">Number::downward</a>);</div>
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<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> }</div>
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<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span>}</div>
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</div>
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<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> </div>
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<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span>Number</div>
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<div class="foldopen" id="foldopen00167" data-start="{" data-end="}">
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<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"><a class="line" href="namespaceripple.html#a58b7851104129e42da9c5260ba6f00d6"> 167</a></span><a class="code hl_function" href="namespaceripple.html#a58b7851104129e42da9c5260ba6f00d6">square</a>(<a class="code hl_class" href="classripple_1_1Number.html">Number</a> <span class="keyword">const</span>& n)</div>
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<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span>{</div>
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<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> <span class="keywordflow">return</span> n * n;</div>
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<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span>}</div>
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</div>
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<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> </div>
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<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span>STAmount</div>
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<div class="foldopen" id="foldopen00173" data-start="{" data-end="}">
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<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"><a class="line" href="namespaceripple.html#a745b96ab219de6f62807ab5f6f484534"> 173</a></span><a class="code hl_function" href="namespaceripple.html#a745b96ab219de6f62807ab5f6f484534">adjustLPTokens</a>(</div>
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<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& lptAMMBalance,</div>
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<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& lpTokens,</div>
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<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> <a class="code hl_enumeration" href="namespaceripple.html#aa9819bf6e2ef44707a0144da6c874890">IsDeposit</a> isDeposit)</div>
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<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span>{</div>
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<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> <span class="comment">// Force rounding downward to ensure adjusted tokens are less or equal</span></div>
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<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> <span class="comment">// to requested tokens.</span></div>
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<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> <a class="code hl_class" href="classripple_1_1saveNumberRoundMode.html">saveNumberRoundMode</a> rm(<a class="code hl_function" href="classripple_1_1Number.html#a9f2a0df7ad0f278908643927a19592f2">Number::setround</a>(<a class="code hl_enumvalue" href="classripple_1_1Number.html#a33e3d8e7a95979bd1eb22c59703c8534a25a8f50fce6cbdd3a8c0a3aa20126324">Number::rounding_mode::downward</a>));</div>
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<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <span class="keywordflow">if</span> (isDeposit == <a class="code hl_enumvalue" href="namespaceripple.html#aa9819bf6e2ef44707a0144da6c874890a93cba07454f06a4a960172bbd6e2a435">IsDeposit::Yes</a>)</div>
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<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> <span class="keywordflow">return</span> (lptAMMBalance + lpTokens) - lptAMMBalance;</div>
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<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> <span class="keywordflow">return</span> (lpTokens - lptAMMBalance) + lptAMMBalance;</div>
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<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span>}</div>
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</div>
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<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> </div>
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<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span><a class="code hl_classRef" 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="foldopen" id="foldopen00187" data-start="{" data-end="}">
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<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"><a class="line" href="namespaceripple.html#a812051b3eb90012879722503bc9c422a"> 187</a></span><a class="code hl_function" href="namespaceripple.html#a812051b3eb90012879722503bc9c422a">adjustAmountsByLPTokens</a>(</div>
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<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& amountBalance,</div>
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<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& amount,</div>
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<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <a class="code hl_classRef" 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 id="l00191" name="l00191"></a><span class="lineno"> 191</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& lptAMMBalance,</div>
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<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& lpTokens,</div>
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<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> tfee,</div>
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<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <a class="code hl_enumeration" href="namespaceripple.html#aa9819bf6e2ef44707a0144da6c874890">IsDeposit</a> isDeposit)</div>
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<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span>{</div>
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<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> <span class="comment">// AMMv1_3 amendment adjusts tokens and amounts in deposit/withdraw</span></div>
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<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceripple.html#a016ba9b58107c542ef2dd1fad3d7226c">isFeatureEnabled</a>(fixAMMv1_3))</div>
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<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <span class="keywordflow">return</span> <a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/utility/tuple/make_tuple.html">std::make_tuple</a>(amount, amount2, lpTokens);</div>
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<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> </div>
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<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <span class="keyword">auto</span> <span class="keyword">const</span> lpTokensActual =</div>
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<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> <a class="code hl_function" href="namespaceripple.html#a745b96ab219de6f62807ab5f6f484534">adjustLPTokens</a>(lptAMMBalance, lpTokens, isDeposit);</div>
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<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> </div>
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<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <span class="keywordflow">if</span> (lpTokensActual == beast::zero)</div>
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<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> {</div>
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<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="keyword">auto</span> <span class="keyword">const</span> amount2Opt =</div>
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<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> amount2 ? <a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/utility/optional/make_optional.html">std::make_optional</a>(<a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a>{}) : <a class="code hl_variableRef" href="http://en.cppreference.com/w/cpp/types/is_same.html">std::nullopt</a>;</div>
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<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> <span class="keywordflow">return</span> <a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/utility/tuple/make_tuple.html">std::make_tuple</a>(<a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a>{}, amount2Opt, lpTokensActual);</div>
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<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> }</div>
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<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> </div>
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<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> <span class="keywordflow">if</span> (lpTokensActual < lpTokens)</div>
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<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> {</div>
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<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> <span class="keywordtype">bool</span> <span class="keyword">const</span> ammRoundingEnabled = [&]() {</div>
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<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> <span class="keywordflow">if</span> (<span class="keyword">auto</span> <span class="keyword">const</span>& rules = <a class="code hl_function" href="namespaceripple.html#ac46ee7ce49b6deed89f70a94924c416f">getCurrentTransactionRules</a>();</div>
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<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> rules && rules->enabled(fixAMMv1_1))</div>
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<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> }();</div>
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<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> </div>
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<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> <span class="comment">// Equal trade</span></div>
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<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> <span class="keywordflow">if</span> (amount2)</div>
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<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> {</div>
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<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> <a class="code hl_class" href="classripple_1_1Number.html">Number</a> <span class="keyword">const</span> fr = lpTokensActual / lpTokens;</div>
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<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> <span class="keyword">auto</span> <span class="keyword">const</span> amountActual = <a class="code hl_function" href="namespaceripple.html#a4ad5ac9da897292a28eea43d041c15a1">toSTAmount</a>(amount.<a class="code hl_function" href="classripple_1_1STAmount.html#acab76380a95d902071fd26ab3425bbe5">issue</a>(), fr * amount);</div>
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<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> <span class="keyword">auto</span> <span class="keyword">const</span> amount2Actual =</div>
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<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> <a class="code hl_function" href="namespaceripple.html#a4ad5ac9da897292a28eea43d041c15a1">toSTAmount</a>(amount2->issue(), fr * *amount2);</div>
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<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> <span class="keywordflow">if</span> (!ammRoundingEnabled)</div>
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<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> <span class="keywordflow">return</span> <a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/utility/tuple/make_tuple.html">std::make_tuple</a>(</div>
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<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> amountActual < amount ? amountActual : amount,</div>
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<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> amount2Actual < amount2 ? amount2Actual : amount2,</div>
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<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> lpTokensActual);</div>
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<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> <span class="keywordflow">else</span></div>
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<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> <span class="keywordflow">return</span> <a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/utility/tuple/make_tuple.html">std::make_tuple</a>(</div>
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<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> amountActual, amount2Actual, lpTokensActual);</div>
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<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> }</div>
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<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> </div>
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<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> <span class="comment">// Single trade</span></div>
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<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> <span class="keyword">auto</span> <span class="keyword">const</span> amountActual = [&]() {</div>
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<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> <span class="keywordflow">if</span> (isDeposit == <a class="code hl_enumvalue" href="namespaceripple.html#aa9819bf6e2ef44707a0144da6c874890a93cba07454f06a4a960172bbd6e2a435">IsDeposit::Yes</a>)</div>
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<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceripple.html#a573eb2cecf652856fc74fb1dfbaf8c2a">ammAssetIn</a>(</div>
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<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> amountBalance, lptAMMBalance, lpTokensActual, tfee);</div>
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<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (!ammRoundingEnabled)</div>
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<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceripple.html#a9d783bf776923f332c06e9d85a3fd4db">ammAssetOut</a>(</div>
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<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> amountBalance, lptAMMBalance, lpTokens, tfee);</div>
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<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> <span class="keywordflow">else</span></div>
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<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceripple.html#a9d783bf776923f332c06e9d85a3fd4db">ammAssetOut</a>(</div>
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<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> amountBalance, lptAMMBalance, lpTokensActual, tfee);</div>
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<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> }();</div>
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<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> <span class="keywordflow">if</span> (!ammRoundingEnabled)</div>
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<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> <span class="keywordflow">return</span> amountActual < amount</div>
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<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> ? <a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/utility/tuple/make_tuple.html">std::make_tuple</a>(amountActual, <a class="code hl_variableRef" href="http://en.cppreference.com/w/cpp/types/is_same.html">std::nullopt</a>, lpTokensActual)</div>
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<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> : <a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/utility/tuple/make_tuple.html">std::make_tuple</a>(amount, <a class="code hl_variableRef" href="http://en.cppreference.com/w/cpp/types/is_same.html">std::nullopt</a>, lpTokensActual);</div>
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<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> <span class="keywordflow">else</span></div>
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<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> <span class="keywordflow">return</span> <a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/utility/tuple/make_tuple.html">std::make_tuple</a>(amountActual, <a class="code hl_variableRef" href="http://en.cppreference.com/w/cpp/types/is_same.html">std::nullopt</a>, lpTokensActual);</div>
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<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> }</div>
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<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> </div>
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<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> XRPL_ASSERT(</div>
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<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> lpTokensActual == lpTokens,</div>
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<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> <span class="stringliteral">"ripple::adjustAmountsByLPTokens : LP tokens match actual"</span>);</div>
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<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> </div>
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<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> <span class="keywordflow">return</span> {amount, amount2, lpTokensActual};</div>
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<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span>}</div>
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</div>
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<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> </div>
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<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span>Number</div>
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<div class="foldopen" id="foldopen00264" data-start="{" data-end="}">
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<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"><a class="line" href="namespaceripple.html#a3d22714f28b806ea5c702eba2db5fbc2"> 264</a></span><a class="code hl_function" href="namespaceripple.html#a3d22714f28b806ea5c702eba2db5fbc2">solveQuadraticEq</a>(<a class="code hl_class" href="classripple_1_1Number.html">Number</a> <span class="keyword">const</span>& a, <a class="code hl_class" href="classripple_1_1Number.html">Number</a> <span class="keyword">const</span>& b, <a class="code hl_class" href="classripple_1_1Number.html">Number</a> <span class="keyword">const</span>& c)</div>
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<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span>{</div>
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<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> <span class="keywordflow">return</span> (-b + <a class="code hl_function" href="namespaceripple.html#aecb9ae1add070266b1be59ff570ec713">root2</a>(b * b - 4 * a * c)) / (2 * a);</div>
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<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span>}</div>
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</div>
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<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> </div>
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<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span><span class="comment">// Minimize takerGets or takerPays</span></div>
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<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span><a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/utility/optional.html">std::optional<Number></a></div>
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<div class="foldopen" id="foldopen00271" data-start="{" data-end="}">
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<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"><a class="line" href="namespaceripple.html#a253fae38afa138d393a173425288eead"> 271</a></span><a class="code hl_function" href="namespaceripple.html#a253fae38afa138d393a173425288eead">solveQuadraticEqSmallest</a>(<a class="code hl_class" href="classripple_1_1Number.html">Number</a> <span class="keyword">const</span>& a, <a class="code hl_class" href="classripple_1_1Number.html">Number</a> <span class="keyword">const</span>& b, <a class="code hl_class" href="classripple_1_1Number.html">Number</a> <span class="keyword">const</span>& c)</div>
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<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span>{</div>
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<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> <span class="keyword">auto</span> <span class="keyword">const</span> d = b * b - 4 * a * c;</div>
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<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> <span class="keywordflow">if</span> (d < 0)</div>
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<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> <span class="keywordflow">return</span> <a class="code hl_variableRef" href="http://en.cppreference.com/w/cpp/types/is_same.html">std::nullopt</a>;</div>
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<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> <span class="comment">// use numerically stable citardauq formula for quadratic equation solution</span></div>
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<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> <span class="comment">// https://people.csail.mit.edu/bkph/articles/Quadratics.pdf</span></div>
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<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> <span class="keywordflow">if</span> (b > 0)</div>
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<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> <span class="keywordflow">return</span> (2 * c) / (-b - <a class="code hl_function" href="namespaceripple.html#aecb9ae1add070266b1be59ff570ec713">root2</a>(d));</div>
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<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> <span class="keywordflow">else</span></div>
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<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> <span class="keywordflow">return</span> (2 * c) / (-b + <a class="code hl_function" href="namespaceripple.html#aecb9ae1add070266b1be59ff570ec713">root2</a>(d));</div>
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<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span>}</div>
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</div>
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<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> </div>
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<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span>STAmount</div>
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<div class="foldopen" id="foldopen00285" data-start="{" data-end="}">
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<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"><a class="line" href="namespaceripple.html#a43a5ae33c38d8d1ec8dd015e27329bf2"> 285</a></span><a class="code hl_function" href="namespaceripple.html#a5adb540ae694e45bca2ad089fff15128">multiply</a>(<a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& amount, <a class="code hl_class" href="classripple_1_1Number.html">Number</a> <span class="keyword">const</span>& frac, <a class="code hl_enumeration" href="classripple_1_1Number.html#a33e3d8e7a95979bd1eb22c59703c8534">Number::rounding_mode</a> rm)</div>
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<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span>{</div>
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<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> <a class="code hl_class" href="classripple_1_1NumberRoundModeGuard.html">NumberRoundModeGuard</a> g(rm);</div>
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<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> <span class="keyword">auto</span> <span class="keyword">const</span> t = amount * frac;</div>
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<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceripple.html#a4ad5ac9da897292a28eea43d041c15a1">toSTAmount</a>(amount.<a class="code hl_function" href="classripple_1_1STAmount.html#acab76380a95d902071fd26ab3425bbe5">issue</a>(), t, rm);</div>
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<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span>}</div>
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</div>
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<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> </div>
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<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span>STAmount</div>
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<div class="foldopen" id="foldopen00293" data-start="{" data-end="}">
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<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"><a class="line" href="namespaceripple.html#ab13a463a76c61dabbc775ad3f01f808a"> 293</a></span><a class="code hl_function" href="namespaceripple.html#ae72b56b6709fd192e009123c40d47af6">getRoundedAsset</a>(</div>
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<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> <a class="code hl_class" href="classripple_1_1Rules.html">Rules</a> <span class="keyword">const</span>& rules,</div>
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<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/utility/functional/function.html">std::function</a><<a class="code hl_class" href="classripple_1_1Number.html">Number</a>()>&& noRoundCb,</div>
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<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& balance,</div>
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<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/utility/functional/function.html">std::function</a><<a class="code hl_class" href="classripple_1_1Number.html">Number</a>()>&& productCb,</div>
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<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> <a class="code hl_enumeration" href="namespaceripple.html#aa9819bf6e2ef44707a0144da6c874890">IsDeposit</a> isDeposit)</div>
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<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span>{</div>
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<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> <span class="keywordflow">if</span> (!rules.<a class="code hl_function" href="classripple_1_1Rules.html#a1a8388a2b9588aa9446ece92a88e0dd2">enabled</a>(fixAMMv1_3))</div>
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<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceripple.html#a4ad5ac9da897292a28eea43d041c15a1">toSTAmount</a>(balance.<a class="code hl_function" href="classripple_1_1STAmount.html#acab76380a95d902071fd26ab3425bbe5">issue</a>(), noRoundCb());</div>
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<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> </div>
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<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> <span class="keyword">auto</span> <span class="keyword">const</span> rm = <a class="code hl_function" href="namespaceripple_1_1detail.html#a70b33e4d5020db2c31ce836e4af4923a">detail::getAssetRounding</a>(isDeposit);</div>
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<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> <span class="keywordflow">if</span> (isDeposit == <a class="code hl_enumvalue" href="namespaceripple.html#aa9819bf6e2ef44707a0144da6c874890a93cba07454f06a4a960172bbd6e2a435">IsDeposit::Yes</a>)</div>
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<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceripple.html#a5adb540ae694e45bca2ad089fff15128">multiply</a>(balance, productCb(), rm);</div>
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<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> <a class="code hl_class" href="classripple_1_1NumberRoundModeGuard.html">NumberRoundModeGuard</a> g(rm);</div>
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<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceripple.html#a4ad5ac9da897292a28eea43d041c15a1">toSTAmount</a>(balance.<a class="code hl_function" href="classripple_1_1STAmount.html#acab76380a95d902071fd26ab3425bbe5">issue</a>(), productCb(), rm);</div>
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<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span>}</div>
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</div>
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<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> </div>
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<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span>STAmount</div>
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<div class="foldopen" id="foldopen00311" data-start="{" data-end="}">
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<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"><a class="line" href="namespaceripple.html#a690142eb812877fb21cc817912b4488e"> 311</a></span><a class="code hl_function" href="namespaceripple.html#a690142eb812877fb21cc817912b4488e">getRoundedLPTokens</a>(</div>
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<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> <a class="code hl_class" href="classripple_1_1Rules.html">Rules</a> <span class="keyword">const</span>& rules,</div>
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<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& balance,</div>
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<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> <a class="code hl_class" href="classripple_1_1Number.html">Number</a> <span class="keyword">const</span>& frac,</div>
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<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> <a class="code hl_enumeration" href="namespaceripple.html#aa9819bf6e2ef44707a0144da6c874890">IsDeposit</a> isDeposit)</div>
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<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span>{</div>
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<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> <span class="keywordflow">if</span> (!rules.<a class="code hl_function" href="classripple_1_1Rules.html#a1a8388a2b9588aa9446ece92a88e0dd2">enabled</a>(fixAMMv1_3))</div>
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<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceripple.html#a4ad5ac9da897292a28eea43d041c15a1">toSTAmount</a>(balance.<a class="code hl_function" href="classripple_1_1STAmount.html#acab76380a95d902071fd26ab3425bbe5">issue</a>(), balance * frac);</div>
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<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> </div>
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<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> <span class="keyword">auto</span> <span class="keyword">const</span> rm = <a class="code hl_function" href="namespaceripple_1_1detail.html#a82d9ee6f56b111ccb990202740993c96">detail::getLPTokenRounding</a>(isDeposit);</div>
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<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> <span class="keyword">auto</span> <span class="keyword">const</span> tokens = <a class="code hl_function" href="namespaceripple.html#a5adb540ae694e45bca2ad089fff15128">multiply</a>(balance, frac, rm);</div>
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<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceripple.html#a745b96ab219de6f62807ab5f6f484534">adjustLPTokens</a>(balance, tokens, isDeposit);</div>
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<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span>}</div>
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</div>
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<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> </div>
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<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span>STAmount</div>
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<div class="foldopen" id="foldopen00326" data-start="{" data-end="}">
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<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"><a class="line" href="namespaceripple.html#a8115d8cfc33f5ebdb3c0a92f7294888b"> 326</a></span><a class="code hl_function" href="namespaceripple.html#a690142eb812877fb21cc817912b4488e">getRoundedLPTokens</a>(</div>
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<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"> 327</span> <a class="code hl_class" href="classripple_1_1Rules.html">Rules</a> <span class="keyword">const</span>& rules,</div>
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<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/utility/functional/function.html">std::function</a><<a class="code hl_class" href="classripple_1_1Number.html">Number</a>()>&& noRoundCb,</div>
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<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& lptAMMBalance,</div>
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<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/utility/functional/function.html">std::function</a><<a class="code hl_class" href="classripple_1_1Number.html">Number</a>()>&& productCb,</div>
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<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> <a class="code hl_enumeration" href="namespaceripple.html#aa9819bf6e2ef44707a0144da6c874890">IsDeposit</a> isDeposit)</div>
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<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span>{</div>
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<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span> <span class="keywordflow">if</span> (!rules.<a class="code hl_function" href="classripple_1_1Rules.html#a1a8388a2b9588aa9446ece92a88e0dd2">enabled</a>(fixAMMv1_3))</div>
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<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceripple.html#a4ad5ac9da897292a28eea43d041c15a1">toSTAmount</a>(lptAMMBalance.<a class="code hl_function" href="classripple_1_1STAmount.html#acab76380a95d902071fd26ab3425bbe5">issue</a>(), noRoundCb());</div>
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<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"> 335</span> </div>
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<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span> <span class="keyword">auto</span> <span class="keyword">const</span> tokens = [&] {</div>
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<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span> <span class="keyword">auto</span> <span class="keyword">const</span> rm = <a class="code hl_function" href="namespaceripple_1_1detail.html#a82d9ee6f56b111ccb990202740993c96">detail::getLPTokenRounding</a>(isDeposit);</div>
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<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span> <span class="keywordflow">if</span> (isDeposit == <a class="code hl_enumvalue" href="namespaceripple.html#aa9819bf6e2ef44707a0144da6c874890a93cba07454f06a4a960172bbd6e2a435">IsDeposit::Yes</a>)</div>
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<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"> 339</span> {</div>
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<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"> 340</span> <a class="code hl_class" href="classripple_1_1NumberRoundModeGuard.html">NumberRoundModeGuard</a> g(rm);</div>
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<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceripple.html#a4ad5ac9da897292a28eea43d041c15a1">toSTAmount</a>(lptAMMBalance.<a class="code hl_function" href="classripple_1_1STAmount.html#acab76380a95d902071fd26ab3425bbe5">issue</a>(), productCb(), rm);</div>
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<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> }</div>
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<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceripple.html#a5adb540ae694e45bca2ad089fff15128">multiply</a>(lptAMMBalance, productCb(), rm);</div>
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<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span> }();</div>
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<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceripple.html#a745b96ab219de6f62807ab5f6f484534">adjustLPTokens</a>(lptAMMBalance, tokens, isDeposit);</div>
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<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span>}</div>
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</div>
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<div class="line"><a id="l00347" name="l00347"></a><span class="lineno"> 347</span> </div>
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<div class="line"><a id="l00348" name="l00348"></a><span class="lineno"> 348</span><a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair<STAmount, STAmount></a></div>
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<div class="foldopen" id="foldopen00349" data-start="{" data-end="}">
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<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"><a class="line" href="namespaceripple.html#a0ed77e69d4873a1bb710b5a0d510bcd2"> 349</a></span><a class="code hl_function" href="namespaceripple.html#a0ed77e69d4873a1bb710b5a0d510bcd2">adjustAssetInByTokens</a>(</div>
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<div class="line"><a id="l00350" name="l00350"></a><span class="lineno"> 350</span> <a class="code hl_class" href="classripple_1_1Rules.html">Rules</a> <span class="keyword">const</span>& rules,</div>
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<div class="line"><a id="l00351" name="l00351"></a><span class="lineno"> 351</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& balance,</div>
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<div class="line"><a id="l00352" name="l00352"></a><span class="lineno"> 352</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& amount,</div>
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<div class="line"><a id="l00353" name="l00353"></a><span class="lineno"> 353</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& lptAMMBalance,</div>
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<div class="line"><a id="l00354" name="l00354"></a><span class="lineno"> 354</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& tokens,</div>
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<div class="line"><a id="l00355" name="l00355"></a><span class="lineno"> 355</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> tfee)</div>
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<div class="line"><a id="l00356" name="l00356"></a><span class="lineno"> 356</span>{</div>
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<div class="line"><a id="l00357" name="l00357"></a><span class="lineno"> 357</span> <span class="keywordflow">if</span> (!rules.<a class="code hl_function" href="classripple_1_1Rules.html#a1a8388a2b9588aa9446ece92a88e0dd2">enabled</a>(fixAMMv1_3))</div>
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<div class="line"><a id="l00358" name="l00358"></a><span class="lineno"> 358</span> <span class="keywordflow">return</span> {tokens, amount};</div>
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<div class="line"><a id="l00359" name="l00359"></a><span class="lineno"> 359</span> <span class="keyword">auto</span> assetAdj = <a class="code hl_function" href="namespaceripple.html#a573eb2cecf652856fc74fb1dfbaf8c2a">ammAssetIn</a>(balance, lptAMMBalance, tokens, tfee);</div>
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<div class="line"><a id="l00360" name="l00360"></a><span class="lineno"> 360</span> <span class="keyword">auto</span> tokensAdj = tokens;</div>
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<div class="line"><a id="l00361" name="l00361"></a><span class="lineno"> 361</span> <span class="comment">// Rounding didn't work the right way.</span></div>
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<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"> 362</span> <span class="comment">// Try to adjust the original deposit amount by difference</span></div>
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<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</span> <span class="comment">// in adjust and original amount. Then adjust tokens and deposit amount.</span></div>
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<div class="line"><a id="l00364" name="l00364"></a><span class="lineno"> 364</span> <span class="keywordflow">if</span> (assetAdj > amount)</div>
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<div class="line"><a id="l00365" name="l00365"></a><span class="lineno"> 365</span> {</div>
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<div class="line"><a id="l00366" name="l00366"></a><span class="lineno"> 366</span> <span class="keyword">auto</span> <span class="keyword">const</span> adjAmount = amount - (assetAdj - amount);</div>
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<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"> 367</span> <span class="keyword">auto</span> <span class="keyword">const</span> t = <a class="code hl_function" href="namespaceripple.html#acc8d16c54c3e8f38d200080e99103279">lpTokensOut</a>(balance, adjAmount, lptAMMBalance, tfee);</div>
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<div class="line"><a id="l00368" name="l00368"></a><span class="lineno"> 368</span> tokensAdj = <a class="code hl_function" href="namespaceripple.html#a745b96ab219de6f62807ab5f6f484534">adjustLPTokens</a>(lptAMMBalance, t, <a class="code hl_enumvalue" href="namespaceripple.html#aa9819bf6e2ef44707a0144da6c874890a93cba07454f06a4a960172bbd6e2a435">IsDeposit::Yes</a>);</div>
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<div class="line"><a id="l00369" name="l00369"></a><span class="lineno"> 369</span> assetAdj = <a class="code hl_function" href="namespaceripple.html#a573eb2cecf652856fc74fb1dfbaf8c2a">ammAssetIn</a>(balance, lptAMMBalance, tokensAdj, tfee);</div>
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<div class="line"><a id="l00370" name="l00370"></a><span class="lineno"> 370</span> }</div>
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<div class="line"><a id="l00371" name="l00371"></a><span class="lineno"> 371</span> <span class="keywordflow">return</span> {tokensAdj, <a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a>(amount, assetAdj)};</div>
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<div class="line"><a id="l00372" name="l00372"></a><span class="lineno"> 372</span>}</div>
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</div>
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<div class="line"><a id="l00373" name="l00373"></a><span class="lineno"> 373</span> </div>
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<div class="line"><a id="l00374" name="l00374"></a><span class="lineno"> 374</span><a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair<STAmount, STAmount></a></div>
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<div class="foldopen" id="foldopen00375" data-start="{" data-end="}">
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<div class="line"><a id="l00375" name="l00375"></a><span class="lineno"><a class="line" href="namespaceripple.html#a44a6e2e9f8bd45de4296958e17a781a4"> 375</a></span><a class="code hl_function" href="namespaceripple.html#a44a6e2e9f8bd45de4296958e17a781a4">adjustAssetOutByTokens</a>(</div>
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<div class="line"><a id="l00376" name="l00376"></a><span class="lineno"> 376</span> <a class="code hl_class" href="classripple_1_1Rules.html">Rules</a> <span class="keyword">const</span>& rules,</div>
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<div class="line"><a id="l00377" name="l00377"></a><span class="lineno"> 377</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& balance,</div>
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<div class="line"><a id="l00378" name="l00378"></a><span class="lineno"> 378</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& amount,</div>
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<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"> 379</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& lptAMMBalance,</div>
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<div class="line"><a id="l00380" name="l00380"></a><span class="lineno"> 380</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& tokens,</div>
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<div class="line"><a id="l00381" name="l00381"></a><span class="lineno"> 381</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> tfee)</div>
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<div class="line"><a id="l00382" name="l00382"></a><span class="lineno"> 382</span>{</div>
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<div class="line"><a id="l00383" name="l00383"></a><span class="lineno"> 383</span> <span class="keywordflow">if</span> (!rules.<a class="code hl_function" href="classripple_1_1Rules.html#a1a8388a2b9588aa9446ece92a88e0dd2">enabled</a>(fixAMMv1_3))</div>
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<div class="line"><a id="l00384" name="l00384"></a><span class="lineno"> 384</span> <span class="keywordflow">return</span> {tokens, amount};</div>
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<div class="line"><a id="l00385" name="l00385"></a><span class="lineno"> 385</span> <span class="keyword">auto</span> assetAdj = <a class="code hl_function" href="namespaceripple.html#a9d783bf776923f332c06e9d85a3fd4db">ammAssetOut</a>(balance, lptAMMBalance, tokens, tfee);</div>
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<div class="line"><a id="l00386" name="l00386"></a><span class="lineno"> 386</span> <span class="keyword">auto</span> tokensAdj = tokens;</div>
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<div class="line"><a id="l00387" name="l00387"></a><span class="lineno"> 387</span> <span class="comment">// Rounding didn't work the right way.</span></div>
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<div class="line"><a id="l00388" name="l00388"></a><span class="lineno"> 388</span> <span class="comment">// Try to adjust the original deposit amount by difference</span></div>
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<div class="line"><a id="l00389" name="l00389"></a><span class="lineno"> 389</span> <span class="comment">// in adjust and original amount. Then adjust tokens and deposit amount.</span></div>
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<div class="line"><a id="l00390" name="l00390"></a><span class="lineno"> 390</span> <span class="keywordflow">if</span> (assetAdj > amount)</div>
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<div class="line"><a id="l00391" name="l00391"></a><span class="lineno"> 391</span> {</div>
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<div class="line"><a id="l00392" name="l00392"></a><span class="lineno"> 392</span> <span class="keyword">auto</span> <span class="keyword">const</span> adjAmount = amount - (assetAdj - amount);</div>
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<div class="line"><a id="l00393" name="l00393"></a><span class="lineno"> 393</span> <span class="keyword">auto</span> <span class="keyword">const</span> t = <a class="code hl_function" href="namespaceripple.html#ac6b80065bed621a7322e3cc6a4f3833f">lpTokensIn</a>(balance, adjAmount, lptAMMBalance, tfee);</div>
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<div class="line"><a id="l00394" name="l00394"></a><span class="lineno"> 394</span> tokensAdj = <a class="code hl_function" href="namespaceripple.html#a745b96ab219de6f62807ab5f6f484534">adjustLPTokens</a>(lptAMMBalance, t, <a class="code hl_enumvalue" href="namespaceripple.html#aa9819bf6e2ef44707a0144da6c874890abafd7322c6e97d25b6299b5d6fe8920b">IsDeposit::No</a>);</div>
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<div class="line"><a id="l00395" name="l00395"></a><span class="lineno"> 395</span> assetAdj = <a class="code hl_function" href="namespaceripple.html#a9d783bf776923f332c06e9d85a3fd4db">ammAssetOut</a>(balance, lptAMMBalance, tokensAdj, tfee);</div>
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<div class="line"><a id="l00396" name="l00396"></a><span class="lineno"> 396</span> }</div>
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<div class="line"><a id="l00397" name="l00397"></a><span class="lineno"> 397</span> <span class="keywordflow">return</span> {tokensAdj, <a class="code hl_functionRef" href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a>(amount, assetAdj)};</div>
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<div class="line"><a id="l00398" name="l00398"></a><span class="lineno"> 398</span>}</div>
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</div>
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<div class="line"><a id="l00399" name="l00399"></a><span class="lineno"> 399</span> </div>
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<div class="line"><a id="l00400" name="l00400"></a><span class="lineno"> 400</span>Number</div>
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<div class="foldopen" id="foldopen00401" data-start="{" data-end="}">
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<div class="line"><a id="l00401" name="l00401"></a><span class="lineno"><a class="line" href="namespaceripple.html#aefc2d6a8a1a2e3a721848b3ccb011fcd"> 401</a></span><a class="code hl_function" href="namespaceripple.html#aefc2d6a8a1a2e3a721848b3ccb011fcd">adjustFracByTokens</a>(</div>
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<div class="line"><a id="l00402" name="l00402"></a><span class="lineno"> 402</span> <a class="code hl_class" href="classripple_1_1Rules.html">Rules</a> <span class="keyword">const</span>& rules,</div>
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<div class="line"><a id="l00403" name="l00403"></a><span class="lineno"> 403</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& lptAMMBalance,</div>
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<div class="line"><a id="l00404" name="l00404"></a><span class="lineno"> 404</span> <a class="code hl_class" href="classripple_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>& tokens,</div>
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<div class="line"><a id="l00405" name="l00405"></a><span class="lineno"> 405</span> <a class="code hl_class" href="classripple_1_1Number.html">Number</a> <span class="keyword">const</span>& frac)</div>
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<div class="line"><a id="l00406" name="l00406"></a><span class="lineno"> 406</span>{</div>
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<div class="line"><a id="l00407" name="l00407"></a><span class="lineno"> 407</span> <span class="keywordflow">if</span> (!rules.<a class="code hl_function" href="classripple_1_1Rules.html#a1a8388a2b9588aa9446ece92a88e0dd2">enabled</a>(fixAMMv1_3))</div>
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<div class="line"><a id="l00408" name="l00408"></a><span class="lineno"> 408</span> <span class="keywordflow">return</span> frac;</div>
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<div class="line"><a id="l00409" name="l00409"></a><span class="lineno"> 409</span> <span class="keywordflow">return</span> tokens / lptAMMBalance;</div>
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<div class="line"><a id="l00410" name="l00410"></a><span class="lineno"> 410</span>}</div>
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</div>
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<div class="line"><a id="l00411" name="l00411"></a><span class="lineno"> 411</span> </div>
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<div class="line"><a id="l00412" name="l00412"></a><span class="lineno"> 412</span>} <span class="comment">// namespace ripple</span></div>
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<div class="ttc" id="aclassripple_1_1Issue_html"><div class="ttname"><a href="classripple_1_1Issue.html">ripple::Issue</a></div><div class="ttdoc">A currency issued by an account.</div><div class="ttdef"><b>Definition</b> <a href="Issue_8h_source.html#l00032">Issue.h:33</a></div></div>
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<div class="ttc" id="aclassripple_1_1NumberRoundModeGuard_html"><div class="ttname"><a href="classripple_1_1NumberRoundModeGuard.html">ripple::NumberRoundModeGuard</a></div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00410">Number.h:411</a></div></div>
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<div class="ttc" id="aclassripple_1_1Number_html"><div class="ttname"><a href="classripple_1_1Number.html">ripple::Number</a></div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00035">Number.h:36</a></div></div>
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<div class="ttc" id="aclassripple_1_1Number_html_a33e3d8e7a95979bd1eb22c59703c8534"><div class="ttname"><a href="classripple_1_1Number.html#a33e3d8e7a95979bd1eb22c59703c8534">ripple::Number::rounding_mode</a></div><div class="ttdeci">rounding_mode</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00196">Number.h:196</a></div></div>
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<div class="ttc" id="aclassripple_1_1Number_html_a33e3d8e7a95979bd1eb22c59703c8534a25a8f50fce6cbdd3a8c0a3aa20126324"><div class="ttname"><a href="classripple_1_1Number.html#a33e3d8e7a95979bd1eb22c59703c8534a25a8f50fce6cbdd3a8c0a3aa20126324">ripple::Number::downward</a></div><div class="ttdeci">@ downward</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00196">Number.h:196</a></div></div>
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<div class="ttc" id="aclassripple_1_1Number_html_a33e3d8e7a95979bd1eb22c59703c8534ade4db21da96eedd46544ea52ce11a6f2"><div class="ttname"><a href="classripple_1_1Number.html#a33e3d8e7a95979bd1eb22c59703c8534ade4db21da96eedd46544ea52ce11a6f2">ripple::Number::upward</a></div><div class="ttdeci">@ upward</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00196">Number.h:196</a></div></div>
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<div class="ttc" id="aclassripple_1_1Number_html_a69a91a7aca13639e1705b7fb94ee78d5"><div class="ttname"><a href="classripple_1_1Number.html#a69a91a7aca13639e1705b7fb94ee78d5">ripple::Number::getround</a></div><div class="ttdeci">static rounding_mode getround()</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00047">Number.cpp:47</a></div></div>
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<div class="ttc" id="aclassripple_1_1Number_html_a9f2a0df7ad0f278908643927a19592f2"><div class="ttname"><a href="classripple_1_1Number.html#a9f2a0df7ad0f278908643927a19592f2">ripple::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#l00053">Number.cpp:53</a></div></div>
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<div class="ttc" id="aclassripple_1_1Rules_html"><div class="ttname"><a href="classripple_1_1Rules.html">ripple::Rules</a></div><div class="ttdoc">Rules controlling protocol behavior.</div><div class="ttdef"><b>Definition</b> <a href="Rules_8h_source.html#l00037">Rules.h:38</a></div></div>
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<div class="ttc" id="aclassripple_1_1Rules_html_a1a8388a2b9588aa9446ece92a88e0dd2"><div class="ttname"><a href="classripple_1_1Rules.html#a1a8388a2b9588aa9446ece92a88e0dd2">ripple::Rules::enabled</a></div><div class="ttdeci">bool enabled(uint256 const &feature) const</div><div class="ttdoc">Returns true if a feature is enabled.</div><div class="ttdef"><b>Definition</b> <a href="Rules_8cpp_source.html#l00130">Rules.cpp:130</a></div></div>
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<div class="ttc" id="aclassripple_1_1STAmount_html"><div class="ttname"><a href="classripple_1_1STAmount.html">ripple::STAmount</a></div><div class="ttdef"><b>Definition</b> <a href="STAmount_8h_source.html#l00049">STAmount.h:50</a></div></div>
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<div class="ttc" id="aclassripple_1_1STAmount_html_acab76380a95d902071fd26ab3425bbe5"><div class="ttname"><a href="classripple_1_1STAmount.html#acab76380a95d902071fd26ab3425bbe5">ripple::STAmount::issue</a></div><div class="ttdeci">Issue const & issue() const</div><div class="ttdef"><b>Definition</b> <a href="STAmount_8h_source.html#l00496">STAmount.h:496</a></div></div>
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<div class="ttc" id="aclassripple_1_1saveNumberRoundMode_html"><div class="ttname"><a href="classripple_1_1saveNumberRoundMode.html">ripple::saveNumberRoundMode</a></div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00388">Number.h:389</a></div></div>
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<div class="ttc" id="afunction_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/functional/function.html">std::function</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="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>
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<div class="ttc" id="amake_optional_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/optional/make_optional.html">std::make_optional</a></div><div class="ttdeci">T make_optional(T... args)</div></div>
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<div class="ttc" id="amake_tuple_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/tuple/make_tuple.html">std::make_tuple</a></div><div class="ttdeci">T make_tuple(T... args)</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_1_1detail_html_a70b33e4d5020db2c31ce836e4af4923a"><div class="ttname"><a href="namespaceripple_1_1detail.html#a70b33e4d5020db2c31ce836e4af4923a">ripple::detail::getAssetRounding</a></div><div class="ttdeci">Number::rounding_mode getAssetRounding(IsDeposit isDeposit)</div><div class="ttdef"><b>Definition</b> <a href="AMMHelpers_8h_source.html#l00662">AMMHelpers.h:662</a></div></div>
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<div class="ttc" id="anamespaceripple_1_1detail_html_a82d9ee6f56b111ccb990202740993c96"><div class="ttname"><a href="namespaceripple_1_1detail.html#a82d9ee6f56b111ccb990202740993c96">ripple::detail::getLPTokenRounding</a></div><div class="ttdeci">Number::rounding_mode getLPTokenRounding(IsDeposit isDeposit)</div><div class="ttdef"><b>Definition</b> <a href="AMMHelpers_8h_source.html#l00654">AMMHelpers.h:654</a></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="algorithm_8h_source.html#l00025">algorithm.h:25</a></div></div>
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<div class="ttc" id="anamespaceripple_html_a016ba9b58107c542ef2dd1fad3d7226c"><div class="ttname"><a href="namespaceripple.html#a016ba9b58107c542ef2dd1fad3d7226c">ripple::isFeatureEnabled</a></div><div class="ttdeci">bool isFeatureEnabled(uint256 const &feature)</div><div class="ttdef"><b>Definition</b> <a href="Rules_8cpp_source.html#l00155">Rules.cpp:155</a></div></div>
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<div class="ttc" id="anamespaceripple_html_a0ed77e69d4873a1bb710b5a0d510bcd2"><div class="ttname"><a href="namespaceripple.html#a0ed77e69d4873a1bb710b5a0d510bcd2">ripple::adjustAssetInByTokens</a></div><div class="ttdeci">std::pair< STAmount, STAmount > adjustAssetInByTokens(Rules const &rules, STAmount const &balance, STAmount const &amount, STAmount const &lptAMMBalance, STAmount const &tokens, std::uint16_t tfee)</div><div class="ttdef"><b>Definition</b> <a href="AMMHelpers_8cpp_source.html#l00349">AMMHelpers.cpp:349</a></div></div>
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<div class="ttc" id="anamespaceripple_html_a253fae38afa138d393a173425288eead"><div class="ttname"><a href="namespaceripple.html#a253fae38afa138d393a173425288eead">ripple::solveQuadraticEqSmallest</a></div><div class="ttdeci">std::optional< Number > solveQuadraticEqSmallest(Number const &a, Number const &b, Number const &c)</div><div class="ttdoc">Solve quadratic equation to find takerGets or takerPays.</div><div class="ttdef"><b>Definition</b> <a href="AMMHelpers_8cpp_source.html#l00271">AMMHelpers.cpp:271</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="ttdoc">Positive solution for quadratic equation: x = (-b + sqrt(b**2 + 4*a*c))/(2*a)</div><div class="ttdef"><b>Definition</b> <a href="AMMHelpers_8cpp_source.html#l00264">AMMHelpers.cpp:264</a></div></div>
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<div class="ttc" id="anamespaceripple_html_a44a6e2e9f8bd45de4296958e17a781a4"><div class="ttname"><a href="namespaceripple.html#a44a6e2e9f8bd45de4296958e17a781a4">ripple::adjustAssetOutByTokens</a></div><div class="ttdeci">std::pair< STAmount, STAmount > adjustAssetOutByTokens(Rules const &rules, STAmount const &balance, STAmount const &amount, STAmount const &lptAMMBalance, STAmount const &tokens, std::uint16_t tfee)</div><div class="ttdef"><b>Definition</b> <a href="AMMHelpers_8cpp_source.html#l00375">AMMHelpers.cpp:375</a></div></div>
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<div class="ttc" id="anamespaceripple_html_a4ad5ac9da897292a28eea43d041c15a1"><div class="ttname"><a href="namespaceripple.html#a4ad5ac9da897292a28eea43d041c15a1">ripple::toSTAmount</a></div><div class="ttdeci">STAmount toSTAmount(IOUAmount const &iou, Issue const &iss)</div><div class="ttdef"><b>Definition</b> <a href="AmountConversions_8h_source.html#l00032">AmountConversions.h:32</a></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="ttdoc">Calculate asset deposit given LP Tokens.</div><div class="ttdef"><b>Definition</b> <a href="AMMHelpers_8cpp_source.html#l00080">AMMHelpers.cpp:80</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="ttdoc">Return square of n.</div><div class="ttdef"><b>Definition</b> <a href="AMMHelpers_8cpp_source.html#l00167">AMMHelpers.cpp:167</a></div></div>
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<div class="ttc" id="anamespaceripple_html_a5adb540ae694e45bca2ad089fff15128"><div class="ttname"><a href="namespaceripple.html#a5adb540ae694e45bca2ad089fff15128">ripple::multiply</a></div><div class="ttdeci">STAmount multiply(STAmount const &amount, Rate const &rate)</div><div class="ttdef"><b>Definition</b> <a href="Rate2_8cpp_source.html#l00053">Rate2.cpp:53</a></div></div>
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<div class="ttc" id="anamespaceripple_html_a690142eb812877fb21cc817912b4488e"><div class="ttname"><a href="namespaceripple.html#a690142eb812877fb21cc817912b4488e">ripple::getRoundedLPTokens</a></div><div class="ttdeci">STAmount getRoundedLPTokens(Rules const &rules, STAmount const &balance, Number const &frac, IsDeposit isDeposit)</div><div class="ttdoc">Round AMM deposit/withdrawal LPToken amount.</div><div class="ttdef"><b>Definition</b> <a href="AMMHelpers_8cpp_source.html#l00311">AMMHelpers.cpp:311</a></div></div>
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<div class="ttc" id="anamespaceripple_html_a745b96ab219de6f62807ab5f6f484534"><div class="ttname"><a href="namespaceripple.html#a745b96ab219de6f62807ab5f6f484534">ripple::adjustLPTokens</a></div><div class="ttdeci">STAmount adjustLPTokens(STAmount const &lptAMMBalance, STAmount const &lpTokens, IsDeposit isDeposit)</div><div class="ttdoc">Adjust LP tokens to deposit/withdraw.</div><div class="ttdef"><b>Definition</b> <a href="AMMHelpers_8cpp_source.html#l00173">AMMHelpers.cpp:173</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#l00110">AMMCore.h:110</a></div></div>
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<div class="ttc" id="anamespaceripple_html_a812051b3eb90012879722503bc9c422a"><div class="ttname"><a href="namespaceripple.html#a812051b3eb90012879722503bc9c422a">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, IsDeposit isDeposit)</div><div class="ttdoc">Calls adjustLPTokens() and adjusts deposit or withdraw amounts if the adjusted LP tokens are less tha...</div><div class="ttdef"><b>Definition</b> <a href="AMMHelpers_8cpp_source.html#l00187">AMMHelpers.cpp:187</a></div></div>
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<div class="ttc" id="anamespaceripple_html_a9d783bf776923f332c06e9d85a3fd4db"><div class="ttname"><a href="namespaceripple.html#a9d783bf776923f332c06e9d85a3fd4db">ripple::ammAssetOut</a></div><div class="ttdeci">STAmount ammAssetOut(STAmount const &assetBalance, STAmount const &lptAMMBalance, STAmount const &lpTokens, std::uint16_t tfee)</div><div class="ttdoc">Calculate asset withdrawal by tokens.</div><div class="ttdef"><b>Definition</b> <a href="AMMHelpers_8cpp_source.html#l00145">AMMHelpers.cpp:145</a></div></div>
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<div class="ttc" id="anamespaceripple_html_aa8871e2f35cee24497183274c0bab5fd"><div class="ttname"><a href="namespaceripple.html#aa8871e2f35cee24497183274c0bab5fd">ripple::getFee</a></div><div class="ttdeci">Number getFee(std::uint16_t tfee)</div><div class="ttdoc">Convert to the fee from the basis points.</div><div class="ttdef"><b>Definition</b> <a href="AMMCore_8h_source.html#l00101">AMMCore.h:101</a></div></div>
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<div class="ttc" id="anamespaceripple_html_aa9819bf6e2ef44707a0144da6c874890"><div class="ttname"><a href="namespaceripple.html#aa9819bf6e2ef44707a0144da6c874890">ripple::IsDeposit</a></div><div class="ttdeci">IsDeposit</div><div class="ttdef"><b>Definition</b> <a href="AMMHelpers_8h_source.html#l00051">AMMHelpers.h:51</a></div></div>
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<div class="ttc" id="anamespaceripple_html_aa9819bf6e2ef44707a0144da6c874890a93cba07454f06a4a960172bbd6e2a435"><div class="ttname"><a href="namespaceripple.html#aa9819bf6e2ef44707a0144da6c874890a93cba07454f06a4a960172bbd6e2a435">ripple::IsDeposit::Yes</a></div><div class="ttdeci">@ Yes</div></div>
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<div class="ttc" id="anamespaceripple_html_aa9819bf6e2ef44707a0144da6c874890abafd7322c6e97d25b6299b5d6fe8920b"><div class="ttname"><a href="namespaceripple.html#aa9819bf6e2ef44707a0144da6c874890abafd7322c6e97d25b6299b5d6fe8920b">ripple::IsDeposit::No</a></div><div class="ttdeci">@ No</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="ttdoc">Calculate LP Tokens given AMM pool reserves.</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="anamespaceripple_html_ac46ee7ce49b6deed89f70a94924c416f"><div class="ttname"><a href="namespaceripple.html#ac46ee7ce49b6deed89f70a94924c416f">ripple::getCurrentTransactionRules</a></div><div class="ttdeci">std::optional< Rules > const & getCurrentTransactionRules()</div><div class="ttdef"><b>Definition</b> <a href="Rules_8cpp_source.html#l00047">Rules.cpp:47</a></div></div>
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<div class="ttc" id="anamespaceripple_html_ac6b80065bed621a7322e3cc6a4f3833f"><div class="ttname"><a href="namespaceripple.html#ac6b80065bed621a7322e3cc6a4f3833f">ripple::lpTokensIn</a></div><div class="ttdeci">STAmount lpTokensIn(STAmount const &asset1Balance, STAmount const &asset1Withdraw, STAmount const &lptAMMBalance, std::uint16_t tfee)</div><div class="ttdoc">Calculate LP Tokens given asset's withdraw amount.</div><div class="ttdef"><b>Definition</b> <a href="AMMHelpers_8cpp_source.html#l00112">AMMHelpers.cpp:112</a></div></div>
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<div class="ttc" id="anamespaceripple_html_ac78c8c0642bbbe33db633286fa147381"><div class="ttname"><a href="namespaceripple.html#ac78c8c0642bbbe33db633286fa147381">ripple::feeMultHalf</a></div><div class="ttdeci">Number feeMultHalf(std::uint16_t tfee)</div><div class="ttdoc">Get fee multiplier (1 - tfee / 2) @tfee trading fee in basis points.</div><div class="ttdef"><b>Definition</b> <a href="AMMCore_8h_source.html#l00119">AMMCore.h:119</a></div></div>
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<div class="ttc" id="anamespaceripple_html_acc8d16c54c3e8f38d200080e99103279"><div class="ttname"><a href="namespaceripple.html#acc8d16c54c3e8f38d200080e99103279">ripple::lpTokensOut</a></div><div class="ttdeci">STAmount lpTokensOut(STAmount const &asset1Balance, STAmount const &asset1Deposit, STAmount const &lptAMMBalance, std::uint16_t tfee)</div><div class="ttdoc">Calculate LP Tokens given asset's deposit amount.</div><div class="ttdef"><b>Definition</b> <a href="AMMHelpers_8cpp_source.html#l00045">AMMHelpers.cpp:45</a></div></div>
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<div class="ttc" id="anamespaceripple_html_ae72b56b6709fd192e009123c40d47af6"><div class="ttname"><a href="namespaceripple.html#ae72b56b6709fd192e009123c40d47af6">ripple::getRoundedAsset</a></div><div class="ttdeci">STAmount getRoundedAsset(Rules const &rules, STAmount const &balance, A const &frac, IsDeposit isDeposit)</div><div class="ttdoc">Round AMM equal deposit/withdrawal amount.</div><div class="ttdef"><b>Definition</b> <a href="AMMHelpers_8h_source.html#l00678">AMMHelpers.h:678</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#l00701">Number.cpp:701</a></div></div>
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<div class="ttc" id="anamespaceripple_html_aefc2d6a8a1a2e3a721848b3ccb011fcd"><div class="ttname"><a href="namespaceripple.html#aefc2d6a8a1a2e3a721848b3ccb011fcd">ripple::adjustFracByTokens</a></div><div class="ttdeci">Number adjustFracByTokens(Rules const &rules, STAmount const &lptAMMBalance, STAmount const &tokens, Number const &frac)</div><div class="ttdoc">Find a fraction of tokens after the tokens are adjusted.</div><div class="ttdef"><b>Definition</b> <a href="AMMHelpers_8cpp_source.html#l00401">AMMHelpers.cpp:401</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="apair_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</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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