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<div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="preprocessor">#include &lt;xrpld/app/misc/AMMHelpers.h&gt;</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span> </div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespacexrpl.html">xrpl</a> {</div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span> </div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span>STAmount</div>
<div class="foldopen" id="foldopen00006" data-start="{" data-end="}">
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"><a class="line" href="namespacexrpl.html#a6226af7a6f73b543e77694e5b163673b"> 6</a></span><a class="code hl_function" href="namespacexrpl.html#a6226af7a6f73b543e77694e5b163673b">ammLPTokens</a>(</div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; asset1,</div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; asset2,</div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span> <a class="code hl_class" href="classxrpl_1_1Issue.html">Issue</a> <span class="keyword">const</span>&amp; lptIssue)</div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span>{</div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span> <span class="comment">// AMM invariant: sqrt(asset1 * asset2) &gt;= LPTokensBalance</span></div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span> <span class="keyword">auto</span> <span class="keyword">const</span> rounding =</div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> <a class="code hl_function" href="namespacexrpl.html#afc329ed04027b64314201fce67ebfa5e">isFeatureEnabled</a>(fixAMMv1_3) ? <a class="code hl_enumvalue" href="classxrpl_1_1Number.html#a40e08f75077897215c66d102b5b75f95aefac6c5bd63a85dcee4fc69baf788d40">Number::downward</a> : <a class="code hl_function" href="classxrpl_1_1Number.html#a0c71d26d6de400ed12cf3923157aca31">Number::getround</a>();</div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span> <a class="code hl_class" href="classxrpl_1_1NumberRoundModeGuard.html">NumberRoundModeGuard</a> g(rounding);</div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> <span class="keyword">auto</span> <span class="keyword">const</span> tokens = <a class="code hl_function" href="namespacexrpl.html#ab334d11f65b71b91e2c6c907090398cb">root2</a>(asset1 * asset2);</div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacexrpl.html#a40e86ef937741d6bead51310df36a89e">toSTAmount</a>(lptIssue, tokens);</div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span>}</div>
</div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> </div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="comment">/*</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="comment"> * Equation 3:</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="comment"> * t = T * [(b/B - (sqrt(f2**2 - b/(B*f1)) - f2)) /</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="comment"> * (1 + sqrt(f2**2 - b/(B*f1)) - f2)]</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="comment"> * where f1 = 1 - tfee, f2 = (1 - tfee/2)/f1</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="comment"> */</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span>STAmount</div>
<div class="foldopen" id="foldopen00026" data-start="{" data-end="}">
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"><a class="line" href="namespacexrpl.html#af922435a5bf5d571d5c2ea04c81b6cb1"> 26</a></span><a class="code hl_function" href="namespacexrpl.html#af922435a5bf5d571d5c2ea04c81b6cb1">lpTokensOut</a>(</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; asset1Balance,</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; asset1Deposit,</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; lptAMMBalance,</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> tfee)</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span>{</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="keyword">auto</span> <span class="keyword">const</span> f1 = <a class="code hl_function" href="namespacexrpl.html#aa0a361beb4e49cb6a4653ec984d997dc">feeMult</a>(tfee);</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="keyword">auto</span> <span class="keyword">const</span> f2 = <a class="code hl_function" href="namespacexrpl.html#a17c8d0ffcd3f14dd0441c7f99457f119">feeMultHalf</a>(tfee) / f1;</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> <span class="keyword">const</span> r = asset1Deposit / asset1Balance;</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <span class="keyword">auto</span> <span class="keyword">const</span> c = <a class="code hl_function" href="namespacexrpl.html#ab334d11f65b71b91e2c6c907090398cb">root2</a>(f2 * f2 + r / f1) - f2;</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespacexrpl.html#afc329ed04027b64314201fce67ebfa5e">isFeatureEnabled</a>(fixAMMv1_3))</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> {</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="keyword">auto</span> <span class="keyword">const</span> t = lptAMMBalance * (r - c) / (1 + c);</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacexrpl.html#a40e86ef937741d6bead51310df36a89e">toSTAmount</a>(lptAMMBalance.<a class="code hl_function" href="classxrpl_1_1STAmount.html#a21f103c714a972c2e3682c5f89360771">issue</a>(), t);</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> }</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> {</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <span class="comment">// minimize tokens out</span></div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keyword">auto</span> <span class="keyword">const</span> frac = (r - c) / (1 + c);</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacexrpl.html#a63a3223bbf81dbd09717eb04d45d58cf">multiply</a>(lptAMMBalance, frac, <a class="code hl_enumvalue" href="classxrpl_1_1Number.html#a40e08f75077897215c66d102b5b75f95aefac6c5bd63a85dcee4fc69baf788d40">Number::downward</a>);</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> }</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span>}</div>
</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span><span class="comment">/* Equation 4 solves equation 3 for b:</span></div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span><span class="comment"> * Let f1 = 1 - tfee, f2 = (1 - tfee/2)/f1, t1 = t/T, t2 = 1 + t1, R = b/B</span></div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span><span class="comment"> * then</span></div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span><span class="comment"> * t1 = [R - sqrt(f2**2 + R/f1) + f2] / [1 + sqrt(f2**2 + R/f1] - f2] =&gt;</span></div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span><span class="comment"> * sqrt(f2**2 + R/f1)*(t1 + 1) = R + f2 + t1*f2 - t1 =&gt;</span></div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span><span class="comment"> * sqrt(f2**2 + R/f1)*t2 = R + t2*f2 - t1 =&gt;</span></div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span><span class="comment"> * sqrt(f2**2 + R/f1) = R/t2 + f2 - t1/t2, let d = f2 - t1/t2 =&gt;</span></div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span><span class="comment"> * sqrt(f2**2 + R/f1) = R/t2 + d =&gt;</span></div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span><span class="comment"> * f2**2 + R/f1 = (R/t2)**2 +2*d*R/t2 + d**2 =&gt;</span></div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span><span class="comment"> * (R/t2)**2 + R*(2*d/t2 - 1/f1) + d**2 - f2**2 = 0</span></div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span><span class="comment"> */</span></div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span>STAmount</div>
<div class="foldopen" id="foldopen00061" data-start="{" data-end="}">
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"><a class="line" href="namespacexrpl.html#abdbadb99f2819d335af25338059c024d"> 61</a></span><a class="code hl_function" href="namespacexrpl.html#abdbadb99f2819d335af25338059c024d">ammAssetIn</a>(</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; asset1Balance,</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; lptAMMBalance,</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; lpTokens,</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> tfee)</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span>{</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="keyword">auto</span> <span class="keyword">const</span> f1 = <a class="code hl_function" href="namespacexrpl.html#aa0a361beb4e49cb6a4653ec984d997dc">feeMult</a>(tfee);</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="keyword">auto</span> <span class="keyword">const</span> f2 = <a class="code hl_function" href="namespacexrpl.html#a17c8d0ffcd3f14dd0441c7f99457f119">feeMultHalf</a>(tfee) / f1;</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="keyword">auto</span> <span class="keyword">const</span> t1 = lpTokens / lptAMMBalance;</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="keyword">auto</span> <span class="keyword">const</span> t2 = 1 + t1;</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="keyword">auto</span> <span class="keyword">const</span> d = f2 - t1 / t2;</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="keyword">auto</span> <span class="keyword">const</span> a = 1 / (t2 * t2);</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="keyword">auto</span> <span class="keyword">const</span> b = 2 * d / t2 - 1 / f1;</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="keyword">auto</span> <span class="keyword">const</span> c = d * d - f2 * f2;</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespacexrpl.html#afc329ed04027b64314201fce67ebfa5e">isFeatureEnabled</a>(fixAMMv1_3))</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> {</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacexrpl.html#a40e86ef937741d6bead51310df36a89e">toSTAmount</a>(</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> asset1Balance.<a class="code hl_function" href="classxrpl_1_1STAmount.html#a21f103c714a972c2e3682c5f89360771">issue</a>(), asset1Balance * <a class="code hl_function" href="namespacexrpl.html#a5d80dac62a2cef71e12b8e69ccc03651">solveQuadraticEq</a>(a, b, c));</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> }</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> {</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="comment">// maximize deposit</span></div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keyword">auto</span> <span class="keyword">const</span> frac = <a class="code hl_function" href="namespacexrpl.html#a5d80dac62a2cef71e12b8e69ccc03651">solveQuadraticEq</a>(a, b, c);</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacexrpl.html#a63a3223bbf81dbd09717eb04d45d58cf">multiply</a>(asset1Balance, frac, <a class="code hl_enumvalue" href="classxrpl_1_1Number.html#a40e08f75077897215c66d102b5b75f95aaf71effcd4dcf7bc7c89bb51e27e8b17">Number::upward</a>);</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> }</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span>}</div>
</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> </div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span><span class="comment">/* Equation 7:</span></div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span><span class="comment"> * t = T * (c - sqrt(c**2 - 4*R))/2</span></div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span><span class="comment"> * where R = b/B, c = R*fee + 2 - fee</span></div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span><span class="comment"> */</span></div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span>STAmount</div>
<div class="foldopen" id="foldopen00093" data-start="{" data-end="}">
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"><a class="line" href="namespacexrpl.html#acbd9269cc6ee148cc8fe816d4f57a399"> 93</a></span><a class="code hl_function" href="namespacexrpl.html#acbd9269cc6ee148cc8fe816d4f57a399">lpTokensIn</a>(</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; asset1Balance,</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; asset1Withdraw,</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; lptAMMBalance,</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> tfee)</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span>{</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> <span class="keyword">const</span> fr = asset1Withdraw / asset1Balance;</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="keyword">auto</span> <span class="keyword">const</span> f1 = <a class="code hl_function" href="namespacexrpl.html#acc61573879eaa546a305cad60f2de28b">getFee</a>(tfee);</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="keyword">auto</span> <span class="keyword">const</span> c = fr * f1 + 2 - f1;</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespacexrpl.html#afc329ed04027b64314201fce67ebfa5e">isFeatureEnabled</a>(fixAMMv1_3))</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> {</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="keyword">auto</span> <span class="keyword">const</span> t = lptAMMBalance * (c - <a class="code hl_function" href="namespacexrpl.html#ab334d11f65b71b91e2c6c907090398cb">root2</a>(c * c - 4 * fr)) / 2;</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacexrpl.html#a40e86ef937741d6bead51310df36a89e">toSTAmount</a>(lptAMMBalance.<a class="code hl_function" href="classxrpl_1_1STAmount.html#a21f103c714a972c2e3682c5f89360771">issue</a>(), t);</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> }</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> {</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="comment">// maximize tokens in</span></div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="keyword">auto</span> <span class="keyword">const</span> frac = (c - <a class="code hl_function" href="namespacexrpl.html#ab334d11f65b71b91e2c6c907090398cb">root2</a>(c * c - 4 * fr)) / 2;</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacexrpl.html#a63a3223bbf81dbd09717eb04d45d58cf">multiply</a>(lptAMMBalance, frac, <a class="code hl_enumvalue" href="classxrpl_1_1Number.html#a40e08f75077897215c66d102b5b75f95aaf71effcd4dcf7bc7c89bb51e27e8b17">Number::upward</a>);</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> }</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span>}</div>
</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> </div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span><span class="comment">/* Equation 8 solves equation 7 for b:</span></div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span><span class="comment"> * c - 2*t/T = sqrt(c**2 - 4*R) =&gt;</span></div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span><span class="comment"> * c**2 - 4*c*t/T + 4*t**2/T**2 = c**2 - 4*R =&gt;</span></div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span><span class="comment"> * -4*c*t/T + 4*t**2/T**2 = -4*R =&gt;</span></div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span><span class="comment"> * -c*t/T + t**2/T**2 = -R -=&gt;</span></div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span><span class="comment"> * substitute c = R*f + 2 - f =&gt;</span></div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span><span class="comment"> * -(t/T)*(R*f + 2 - f) + (t/T)**2 = -R, let t1 = t/T =&gt;</span></div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span><span class="comment"> * -t1*R*f -2*t1 +t1*f +t1**2 = -R =&gt;</span></div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span><span class="comment"> * R = (t1**2 + t1*(f - 2)) / (t1*f - 1)</span></div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span><span class="comment"> */</span></div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span>STAmount</div>
<div class="foldopen" id="foldopen00126" data-start="{" data-end="}">
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"><a class="line" href="namespacexrpl.html#a65b880854f3adbafe7196ad6e07cacc0"> 126</a></span><a class="code hl_function" href="namespacexrpl.html#a65b880854f3adbafe7196ad6e07cacc0">ammAssetOut</a>(</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; assetBalance,</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; lptAMMBalance,</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; lpTokens,</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> tfee)</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span>{</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <span class="keyword">auto</span> <span class="keyword">const</span> f = <a class="code hl_function" href="namespacexrpl.html#acc61573879eaa546a305cad60f2de28b">getFee</a>(tfee);</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> <span class="keyword">const</span> t1 = lpTokens / lptAMMBalance;</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespacexrpl.html#afc329ed04027b64314201fce67ebfa5e">isFeatureEnabled</a>(fixAMMv1_3))</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> {</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="keyword">auto</span> <span class="keyword">const</span> b = assetBalance * (t1 * t1 - t1 * (2 - f)) / (t1 * f - 1);</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacexrpl.html#a40e86ef937741d6bead51310df36a89e">toSTAmount</a>(assetBalance.<a class="code hl_function" href="classxrpl_1_1STAmount.html#a21f103c714a972c2e3682c5f89360771">issue</a>(), b);</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> }</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> {</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="comment">// minimize withdraw</span></div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="keyword">auto</span> <span class="keyword">const</span> frac = (t1 * t1 - t1 * (2 - f)) / (t1 * f - 1);</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacexrpl.html#a63a3223bbf81dbd09717eb04d45d58cf">multiply</a>(assetBalance, frac, <a class="code hl_enumvalue" href="classxrpl_1_1Number.html#a40e08f75077897215c66d102b5b75f95aefac6c5bd63a85dcee4fc69baf788d40">Number::downward</a>);</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> }</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span>}</div>
</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> </div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span>Number</div>
<div class="foldopen" id="foldopen00148" data-start="{" data-end="}">
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"><a class="line" href="namespacexrpl.html#af445c7434a225c64374da975ec967c86"> 148</a></span><a class="code hl_function" href="namespacexrpl.html#af445c7434a225c64374da975ec967c86">square</a>(<a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> <span class="keyword">const</span>&amp; n)</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span>{</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <span class="keywordflow">return</span> n * n;</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span>}</div>
</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> </div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span>STAmount</div>
<div class="foldopen" id="foldopen00154" data-start="{" data-end="}">
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"><a class="line" href="namespacexrpl.html#a5503668e9fd3f6db11f500552c3584f1"> 154</a></span><a class="code hl_function" href="namespacexrpl.html#a5503668e9fd3f6db11f500552c3584f1">adjustLPTokens</a>(</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; lptAMMBalance,</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; lpTokens,</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <a class="code hl_enumeration" href="namespacexrpl.html#a36f952e305630142ea1bb1946a6dd383">IsDeposit</a> isDeposit)</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span>{</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> <span class="comment">// Force rounding downward to ensure adjusted tokens are less or equal</span></div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> <span class="comment">// to requested tokens.</span></div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> <a class="code hl_class" href="classxrpl_1_1saveNumberRoundMode.html">saveNumberRoundMode</a> rm(<a class="code hl_function" href="classxrpl_1_1Number.html#a274b459d7478df80795caed8a56d4f00">Number::setround</a>(<a class="code hl_enumvalue" href="classxrpl_1_1Number.html#a40e08f75077897215c66d102b5b75f95aefac6c5bd63a85dcee4fc69baf788d40">Number::rounding_mode::downward</a>));</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> <span class="keywordflow">if</span> (isDeposit == <a class="code hl_enumvalue" href="namespacexrpl.html#a36f952e305630142ea1bb1946a6dd383a93cba07454f06a4a960172bbd6e2a435">IsDeposit::Yes</a>)</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> <span class="keywordflow">return</span> (lptAMMBalance + lpTokens) - lptAMMBalance;</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="keywordflow">return</span> (lpTokens - lptAMMBalance) + lptAMMBalance;</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span>}</div>
</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> </div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span><a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/utility/tuple.html">std::tuple&lt;STAmount, std::optional&lt;STAmount&gt;</a>, STAmount&gt;</div>
<div class="foldopen" id="foldopen00168" data-start="{" data-end="}">
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"><a class="line" href="namespacexrpl.html#ac53efcd7320c16cbf784266098ebf0e7"> 168</a></span><a class="code hl_function" href="namespacexrpl.html#ac53efcd7320c16cbf784266098ebf0e7">adjustAmountsByLPTokens</a>(</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; amountBalance,</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; amount,</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/utility/optional.html">std::optional&lt;STAmount&gt;</a> <span class="keyword">const</span>&amp; amount2,</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; lptAMMBalance,</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; lpTokens,</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> tfee,</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <a class="code hl_enumeration" href="namespacexrpl.html#a36f952e305630142ea1bb1946a6dd383">IsDeposit</a> isDeposit)</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span>{</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> <span class="comment">// AMMv1_3 amendment adjusts tokens and amounts in deposit/withdraw</span></div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespacexrpl.html#afc329ed04027b64314201fce67ebfa5e">isFeatureEnabled</a>(fixAMMv1_3))</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</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>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> </div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <span class="keyword">auto</span> <span class="keyword">const</span> lpTokensActual =</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> <a class="code hl_function" href="namespacexrpl.html#a5503668e9fd3f6db11f500552c3584f1">adjustLPTokens</a>(lptAMMBalance, lpTokens, isDeposit);</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> </div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="keywordflow">if</span> (lpTokensActual == beast::zero)</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> {</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> <span class="keyword">auto</span> <span class="keyword">const</span> amount2Opt =</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</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="classxrpl_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>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</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="classxrpl_1_1STAmount.html">STAmount</a>{}, amount2Opt, lpTokensActual);</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> }</div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> </div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <span class="keywordflow">if</span> (lpTokensActual &lt; lpTokens)</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> {</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="keywordtype">bool</span> <span class="keyword">const</span> ammRoundingEnabled = [&amp;]() {</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <span class="keywordflow">if</span> (<span class="keyword">auto</span> <span class="keyword">const</span>&amp; rules = <a class="code hl_function" href="namespacexrpl.html#a5a1298fd71a9010ea3228b2ba8d46efe">getCurrentTransactionRules</a>();</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> rules &amp;&amp; rules-&gt;enabled(fixAMMv1_1))</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> }();</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> </div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <span class="comment">// Equal trade</span></div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> <span class="keywordflow">if</span> (amount2)</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> {</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> <span class="keyword">const</span> fr = lpTokensActual / lpTokens;</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="keyword">auto</span> <span class="keyword">const</span> amountActual = <a class="code hl_function" href="namespacexrpl.html#a40e86ef937741d6bead51310df36a89e">toSTAmount</a>(amount.issue(), fr * amount);</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="keyword">auto</span> <span class="keyword">const</span> amount2Actual =</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <a class="code hl_function" href="namespacexrpl.html#a40e86ef937741d6bead51310df36a89e">toSTAmount</a>(amount2-&gt;issue(), fr * *amount2);</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> <span class="keywordflow">if</span> (!ammRoundingEnabled)</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</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>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> amountActual &lt; amount ? amountActual : amount,</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> amount2Actual &lt; amount2 ? amount2Actual : amount2,</div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> lpTokensActual);</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</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>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> amountActual, amount2Actual, lpTokensActual);</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> }</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> </div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> <span class="comment">// Single trade</span></div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> <span class="keyword">auto</span> <span class="keyword">const</span> amountActual = [&amp;]() {</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> <span class="keywordflow">if</span> (isDeposit == <a class="code hl_enumvalue" href="namespacexrpl.html#a36f952e305630142ea1bb1946a6dd383a93cba07454f06a4a960172bbd6e2a435">IsDeposit::Yes</a>)</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacexrpl.html#abdbadb99f2819d335af25338059c024d">ammAssetIn</a>(</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> amountBalance, lptAMMBalance, lpTokensActual, tfee);</div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (!ammRoundingEnabled)</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacexrpl.html#a65b880854f3adbafe7196ad6e07cacc0">ammAssetOut</a>(</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> amountBalance, lptAMMBalance, lpTokens, tfee);</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacexrpl.html#a65b880854f3adbafe7196ad6e07cacc0">ammAssetOut</a>(</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> amountBalance, lptAMMBalance, lpTokensActual, tfee);</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> }();</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> <span class="keywordflow">if</span> (!ammRoundingEnabled)</div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> <span class="keywordflow">return</span> amountActual &lt; amount</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</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>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</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>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</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>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> }</div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> </div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> XRPL_ASSERT(</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> lpTokensActual == lpTokens,</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> <span class="stringliteral">&quot;xrpl::adjustAmountsByLPTokens : LP tokens match actual&quot;</span>);</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> </div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> <span class="keywordflow">return</span> {amount, amount2, lpTokensActual};</div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span>}</div>
</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> </div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span>Number</div>
<div class="foldopen" id="foldopen00245" data-start="{" data-end="}">
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"><a class="line" href="namespacexrpl.html#a5d80dac62a2cef71e12b8e69ccc03651"> 245</a></span><a class="code hl_function" href="namespacexrpl.html#a5d80dac62a2cef71e12b8e69ccc03651">solveQuadraticEq</a>(<a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> <span class="keyword">const</span>&amp; a, <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> <span class="keyword">const</span>&amp; b, <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> <span class="keyword">const</span>&amp; c)</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span>{</div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> <span class="keywordflow">return</span> (-b + <a class="code hl_function" href="namespacexrpl.html#ab334d11f65b71b91e2c6c907090398cb">root2</a>(b * b - 4 * a * c)) / (2 * a);</div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span>}</div>
</div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> </div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span><span class="comment">// Minimize takerGets or takerPays</span></div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span><a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/utility/optional.html">std::optional&lt;Number&gt;</a></div>
<div class="foldopen" id="foldopen00252" data-start="{" data-end="}">
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"><a class="line" href="namespacexrpl.html#aa9ebaa68ee1380436934e0e1ab2068b2"> 252</a></span><a class="code hl_function" href="namespacexrpl.html#aa9ebaa68ee1380436934e0e1ab2068b2">solveQuadraticEqSmallest</a>(<a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> <span class="keyword">const</span>&amp; a, <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> <span class="keyword">const</span>&amp; b, <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> <span class="keyword">const</span>&amp; c)</div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span>{</div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> <span class="keyword">auto</span> <span class="keyword">const</span> d = b * b - 4 * a * c;</div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> <span class="keywordflow">if</span> (d &lt; 0)</div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</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>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> <span class="comment">// use numerically stable citardauq formula for quadratic equation solution</span></div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> <span class="comment">// https://people.csail.mit.edu/bkph/articles/Quadratics.pdf</span></div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> <span class="keywordflow">if</span> (b &gt; 0)</div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> <span class="keywordflow">return</span> (2 * c) / (-b - <a class="code hl_function" href="namespacexrpl.html#ab334d11f65b71b91e2c6c907090398cb">root2</a>(d));</div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> <span class="keywordflow">return</span> (2 * c) / (-b + <a class="code hl_function" href="namespacexrpl.html#ab334d11f65b71b91e2c6c907090398cb">root2</a>(d));</div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span>}</div>
</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> </div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span>STAmount</div>
<div class="foldopen" id="foldopen00266" data-start="{" data-end="}">
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"><a class="line" href="namespacexrpl.html#a6598f0933faac69ad9aa3f1ae6ac870e"> 266</a></span><a class="code hl_function" href="namespacexrpl.html#a63a3223bbf81dbd09717eb04d45d58cf">multiply</a>(<a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; amount, <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> <span class="keyword">const</span>&amp; frac, <a class="code hl_enumeration" href="classxrpl_1_1Number.html#a40e08f75077897215c66d102b5b75f95">Number::rounding_mode</a> rm)</div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span>{</div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> <a class="code hl_class" href="classxrpl_1_1NumberRoundModeGuard.html">NumberRoundModeGuard</a> g(rm);</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> <span class="keyword">auto</span> <span class="keyword">const</span> t = amount * frac;</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacexrpl.html#a40e86ef937741d6bead51310df36a89e">toSTAmount</a>(amount.issue(), t, rm);</div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span>}</div>
</div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> </div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span>STAmount</div>
<div class="foldopen" id="foldopen00274" data-start="{" data-end="}">
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"><a class="line" href="namespacexrpl.html#a65fe333a010ea62fc4fc7f53fbe29587"> 274</a></span><a class="code hl_function" href="namespacexrpl.html#a9642f0a8b029845edff291f4e3fe2166">getRoundedAsset</a>(</div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> <a class="code hl_class" href="classxrpl_1_1Rules.html">Rules</a> <span class="keyword">const</span>&amp; rules,</div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/utility/functional/function.html">std::function</a>&lt;<a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>()&gt;&amp;&amp; noRoundCb,</div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; balance,</div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/utility/functional/function.html">std::function</a>&lt;<a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>()&gt;&amp;&amp; productCb,</div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> <a class="code hl_enumeration" href="namespacexrpl.html#a36f952e305630142ea1bb1946a6dd383">IsDeposit</a> isDeposit)</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span>{</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> <span class="keywordflow">if</span> (!rules.<a class="code hl_function" href="classxrpl_1_1Rules.html#a125114e27f806d1517096cbee50a2b04">enabled</a>(fixAMMv1_3))</div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacexrpl.html#a40e86ef937741d6bead51310df36a89e">toSTAmount</a>(balance.<a class="code hl_function" href="classxrpl_1_1STAmount.html#a21f103c714a972c2e3682c5f89360771">issue</a>(), noRoundCb());</div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> </div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> <span class="keyword">auto</span> <span class="keyword">const</span> rm = <a class="code hl_function" href="namespacexrpl_1_1detail.html#abf56f4d1d1f7a6f319713befdd38c507">detail::getAssetRounding</a>(isDeposit);</div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> <span class="keywordflow">if</span> (isDeposit == <a class="code hl_enumvalue" href="namespacexrpl.html#a36f952e305630142ea1bb1946a6dd383a93cba07454f06a4a960172bbd6e2a435">IsDeposit::Yes</a>)</div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacexrpl.html#a63a3223bbf81dbd09717eb04d45d58cf">multiply</a>(balance, productCb(), rm);</div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> <a class="code hl_class" href="classxrpl_1_1NumberRoundModeGuard.html">NumberRoundModeGuard</a> g(rm);</div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacexrpl.html#a40e86ef937741d6bead51310df36a89e">toSTAmount</a>(balance.<a class="code hl_function" href="classxrpl_1_1STAmount.html#a21f103c714a972c2e3682c5f89360771">issue</a>(), productCb(), rm);</div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span>}</div>
</div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> </div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span>STAmount</div>
<div class="foldopen" id="foldopen00292" data-start="{" data-end="}">
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"><a class="line" href="namespacexrpl.html#a6a17323fffb98318d59259cc12c75127"> 292</a></span><a class="code hl_function" href="namespacexrpl.html#a6a17323fffb98318d59259cc12c75127">getRoundedLPTokens</a>(</div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> <a class="code hl_class" href="classxrpl_1_1Rules.html">Rules</a> <span class="keyword">const</span>&amp; rules,</div>
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; balance,</div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> <span class="keyword">const</span>&amp; frac,</div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> <a class="code hl_enumeration" href="namespacexrpl.html#a36f952e305630142ea1bb1946a6dd383">IsDeposit</a> isDeposit)</div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span>{</div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> <span class="keywordflow">if</span> (!rules.<a class="code hl_function" href="classxrpl_1_1Rules.html#a125114e27f806d1517096cbee50a2b04">enabled</a>(fixAMMv1_3))</div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacexrpl.html#a40e86ef937741d6bead51310df36a89e">toSTAmount</a>(balance.<a class="code hl_function" href="classxrpl_1_1STAmount.html#a21f103c714a972c2e3682c5f89360771">issue</a>(), balance * frac);</div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> </div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> <span class="keyword">auto</span> <span class="keyword">const</span> rm = <a class="code hl_function" href="namespacexrpl_1_1detail.html#a8a7d505d49059bfda5a0abe8e45d7a3c">detail::getLPTokenRounding</a>(isDeposit);</div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> <span class="keyword">auto</span> <span class="keyword">const</span> tokens = <a class="code hl_function" href="namespacexrpl.html#a63a3223bbf81dbd09717eb04d45d58cf">multiply</a>(balance, frac, rm);</div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacexrpl.html#a5503668e9fd3f6db11f500552c3584f1">adjustLPTokens</a>(balance, tokens, isDeposit);</div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span>}</div>
</div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> </div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span>STAmount</div>
<div class="foldopen" id="foldopen00307" data-start="{" data-end="}">
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"><a class="line" href="namespacexrpl.html#aa9a6382b62ffc4ec23b3bef5aad7968c"> 307</a></span><a class="code hl_function" href="namespacexrpl.html#a6a17323fffb98318d59259cc12c75127">getRoundedLPTokens</a>(</div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> <a class="code hl_class" href="classxrpl_1_1Rules.html">Rules</a> <span class="keyword">const</span>&amp; rules,</div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/utility/functional/function.html">std::function</a>&lt;<a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>()&gt;&amp;&amp; noRoundCb,</div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; lptAMMBalance,</div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/utility/functional/function.html">std::function</a>&lt;<a class="code hl_class" href="classxrpl_1_1Number.html">Number</a>()&gt;&amp;&amp; productCb,</div>
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> <a class="code hl_enumeration" href="namespacexrpl.html#a36f952e305630142ea1bb1946a6dd383">IsDeposit</a> isDeposit)</div>
<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span>{</div>
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> <span class="keywordflow">if</span> (!rules.<a class="code hl_function" href="classxrpl_1_1Rules.html#a125114e27f806d1517096cbee50a2b04">enabled</a>(fixAMMv1_3))</div>
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacexrpl.html#a40e86ef937741d6bead51310df36a89e">toSTAmount</a>(lptAMMBalance.<a class="code hl_function" href="classxrpl_1_1STAmount.html#a21f103c714a972c2e3682c5f89360771">issue</a>(), noRoundCb());</div>
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> </div>
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> <span class="keyword">auto</span> <span class="keyword">const</span> tokens = [&amp;] {</div>
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> <span class="keyword">auto</span> <span class="keyword">const</span> rm = <a class="code hl_function" href="namespacexrpl_1_1detail.html#a8a7d505d49059bfda5a0abe8e45d7a3c">detail::getLPTokenRounding</a>(isDeposit);</div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> <span class="keywordflow">if</span> (isDeposit == <a class="code hl_enumvalue" href="namespacexrpl.html#a36f952e305630142ea1bb1946a6dd383a93cba07454f06a4a960172bbd6e2a435">IsDeposit::Yes</a>)</div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> {</div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> <a class="code hl_class" href="classxrpl_1_1NumberRoundModeGuard.html">NumberRoundModeGuard</a> g(rm);</div>
<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="namespacexrpl.html#a40e86ef937741d6bead51310df36a89e">toSTAmount</a>(lptAMMBalance.<a class="code hl_function" href="classxrpl_1_1STAmount.html#a21f103c714a972c2e3682c5f89360771">issue</a>(), productCb(), rm);</div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> }</div>
<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacexrpl.html#a63a3223bbf81dbd09717eb04d45d58cf">multiply</a>(lptAMMBalance, productCb(), rm);</div>
<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> }();</div>
<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacexrpl.html#a5503668e9fd3f6db11f500552c3584f1">adjustLPTokens</a>(lptAMMBalance, tokens, isDeposit);</div>
<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"> 327</span>}</div>
</div>
<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span> </div>
<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span><a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair&lt;STAmount, STAmount&gt;</a></div>
<div class="foldopen" id="foldopen00330" data-start="{" data-end="}">
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"><a class="line" href="namespacexrpl.html#a7e0d13a8c7cf385e1ca9512163a0bf8a"> 330</a></span><a class="code hl_function" href="namespacexrpl.html#a7e0d13a8c7cf385e1ca9512163a0bf8a">adjustAssetInByTokens</a>(</div>
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> <a class="code hl_class" href="classxrpl_1_1Rules.html">Rules</a> <span class="keyword">const</span>&amp; rules,</div>
<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; balance,</div>
<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; amount,</div>
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; lptAMMBalance,</div>
<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"> 335</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; tokens,</div>
<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> tfee)</div>
<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span>{</div>
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span> <span class="keywordflow">if</span> (!rules.<a class="code hl_function" href="classxrpl_1_1Rules.html#a125114e27f806d1517096cbee50a2b04">enabled</a>(fixAMMv1_3))</div>
<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"> 339</span> <span class="keywordflow">return</span> {tokens, amount};</div>
<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"> 340</span> <span class="keyword">auto</span> assetAdj = <a class="code hl_function" href="namespacexrpl.html#abdbadb99f2819d335af25338059c024d">ammAssetIn</a>(balance, lptAMMBalance, tokens, tfee);</div>
<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> <span class="keyword">auto</span> tokensAdj = tokens;</div>
<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> <span class="comment">// Rounding didn&#39;t work the right way.</span></div>
<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span> <span class="comment">// Try to adjust the original deposit amount by difference</span></div>
<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span> <span class="comment">// in adjust and original amount. Then adjust tokens and deposit amount.</span></div>
<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</span> <span class="keywordflow">if</span> (assetAdj &gt; amount)</div>
<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span> {</div>
<div class="line"><a id="l00347" name="l00347"></a><span class="lineno"> 347</span> <span class="keyword">auto</span> <span class="keyword">const</span> adjAmount = amount - (assetAdj - amount);</div>
<div class="line"><a id="l00348" name="l00348"></a><span class="lineno"> 348</span> <span class="keyword">auto</span> <span class="keyword">const</span> t = <a class="code hl_function" href="namespacexrpl.html#af922435a5bf5d571d5c2ea04c81b6cb1">lpTokensOut</a>(balance, adjAmount, lptAMMBalance, tfee);</div>
<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"> 349</span> tokensAdj = <a class="code hl_function" href="namespacexrpl.html#a5503668e9fd3f6db11f500552c3584f1">adjustLPTokens</a>(lptAMMBalance, t, <a class="code hl_enumvalue" href="namespacexrpl.html#a36f952e305630142ea1bb1946a6dd383a93cba07454f06a4a960172bbd6e2a435">IsDeposit::Yes</a>);</div>
<div class="line"><a id="l00350" name="l00350"></a><span class="lineno"> 350</span> assetAdj = <a class="code hl_function" href="namespacexrpl.html#abdbadb99f2819d335af25338059c024d">ammAssetIn</a>(balance, lptAMMBalance, tokensAdj, tfee);</div>
<div class="line"><a id="l00351" name="l00351"></a><span class="lineno"> 351</span> }</div>
<div class="line"><a id="l00352" name="l00352"></a><span class="lineno"> 352</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>
<div class="line"><a id="l00353" name="l00353"></a><span class="lineno"> 353</span>}</div>
</div>
<div class="line"><a id="l00354" name="l00354"></a><span class="lineno"> 354</span> </div>
<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/utility/pair.html">std::pair&lt;STAmount, STAmount&gt;</a></div>
<div class="foldopen" id="foldopen00356" data-start="{" data-end="}">
<div class="line"><a id="l00356" name="l00356"></a><span class="lineno"><a class="line" href="namespacexrpl.html#a897488203b50a0d19c8798a1ab65c65c"> 356</a></span><a class="code hl_function" href="namespacexrpl.html#a897488203b50a0d19c8798a1ab65c65c">adjustAssetOutByTokens</a>(</div>
<div class="line"><a id="l00357" name="l00357"></a><span class="lineno"> 357</span> <a class="code hl_class" href="classxrpl_1_1Rules.html">Rules</a> <span class="keyword">const</span>&amp; rules,</div>
<div class="line"><a id="l00358" name="l00358"></a><span class="lineno"> 358</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; balance,</div>
<div class="line"><a id="l00359" name="l00359"></a><span class="lineno"> 359</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; amount,</div>
<div class="line"><a id="l00360" name="l00360"></a><span class="lineno"> 360</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; lptAMMBalance,</div>
<div class="line"><a id="l00361" name="l00361"></a><span class="lineno"> 361</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; tokens,</div>
<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"> 362</span> <a class="code hl_classRef" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> tfee)</div>
<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</span>{</div>
<div class="line"><a id="l00364" name="l00364"></a><span class="lineno"> 364</span> <span class="keywordflow">if</span> (!rules.<a class="code hl_function" href="classxrpl_1_1Rules.html#a125114e27f806d1517096cbee50a2b04">enabled</a>(fixAMMv1_3))</div>
<div class="line"><a id="l00365" name="l00365"></a><span class="lineno"> 365</span> <span class="keywordflow">return</span> {tokens, amount};</div>
<div class="line"><a id="l00366" name="l00366"></a><span class="lineno"> 366</span> <span class="keyword">auto</span> assetAdj = <a class="code hl_function" href="namespacexrpl.html#a65b880854f3adbafe7196ad6e07cacc0">ammAssetOut</a>(balance, lptAMMBalance, tokens, tfee);</div>
<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"> 367</span> <span class="keyword">auto</span> tokensAdj = tokens;</div>
<div class="line"><a id="l00368" name="l00368"></a><span class="lineno"> 368</span> <span class="comment">// Rounding didn&#39;t work the right way.</span></div>
<div class="line"><a id="l00369" name="l00369"></a><span class="lineno"> 369</span> <span class="comment">// Try to adjust the original deposit amount by difference</span></div>
<div class="line"><a id="l00370" name="l00370"></a><span class="lineno"> 370</span> <span class="comment">// in adjust and original amount. Then adjust tokens and deposit amount.</span></div>
<div class="line"><a id="l00371" name="l00371"></a><span class="lineno"> 371</span> <span class="keywordflow">if</span> (assetAdj &gt; amount)</div>
<div class="line"><a id="l00372" name="l00372"></a><span class="lineno"> 372</span> {</div>
<div class="line"><a id="l00373" name="l00373"></a><span class="lineno"> 373</span> <span class="keyword">auto</span> <span class="keyword">const</span> adjAmount = amount - (assetAdj - amount);</div>
<div class="line"><a id="l00374" name="l00374"></a><span class="lineno"> 374</span> <span class="keyword">auto</span> <span class="keyword">const</span> t = <a class="code hl_function" href="namespacexrpl.html#acbd9269cc6ee148cc8fe816d4f57a399">lpTokensIn</a>(balance, adjAmount, lptAMMBalance, tfee);</div>
<div class="line"><a id="l00375" name="l00375"></a><span class="lineno"> 375</span> tokensAdj = <a class="code hl_function" href="namespacexrpl.html#a5503668e9fd3f6db11f500552c3584f1">adjustLPTokens</a>(lptAMMBalance, t, <a class="code hl_enumvalue" href="namespacexrpl.html#a36f952e305630142ea1bb1946a6dd383abafd7322c6e97d25b6299b5d6fe8920b">IsDeposit::No</a>);</div>
<div class="line"><a id="l00376" name="l00376"></a><span class="lineno"> 376</span> assetAdj = <a class="code hl_function" href="namespacexrpl.html#a65b880854f3adbafe7196ad6e07cacc0">ammAssetOut</a>(balance, lptAMMBalance, tokensAdj, tfee);</div>
<div class="line"><a id="l00377" name="l00377"></a><span class="lineno"> 377</span> }</div>
<div class="line"><a id="l00378" name="l00378"></a><span class="lineno"> 378</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>
<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"> 379</span>}</div>
</div>
<div class="line"><a id="l00380" name="l00380"></a><span class="lineno"> 380</span> </div>
<div class="line"><a id="l00381" name="l00381"></a><span class="lineno"> 381</span>Number</div>
<div class="foldopen" id="foldopen00382" data-start="{" data-end="}">
<div class="line"><a id="l00382" name="l00382"></a><span class="lineno"><a class="line" href="namespacexrpl.html#a293c232307774d009171955169f6b25f"> 382</a></span><a class="code hl_function" href="namespacexrpl.html#a293c232307774d009171955169f6b25f">adjustFracByTokens</a>(</div>
<div class="line"><a id="l00383" name="l00383"></a><span class="lineno"> 383</span> <a class="code hl_class" href="classxrpl_1_1Rules.html">Rules</a> <span class="keyword">const</span>&amp; rules,</div>
<div class="line"><a id="l00384" name="l00384"></a><span class="lineno"> 384</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; lptAMMBalance,</div>
<div class="line"><a id="l00385" name="l00385"></a><span class="lineno"> 385</span> <a class="code hl_class" href="classxrpl_1_1STAmount.html">STAmount</a> <span class="keyword">const</span>&amp; tokens,</div>
<div class="line"><a id="l00386" name="l00386"></a><span class="lineno"> 386</span> <a class="code hl_class" href="classxrpl_1_1Number.html">Number</a> <span class="keyword">const</span>&amp; frac)</div>
<div class="line"><a id="l00387" name="l00387"></a><span class="lineno"> 387</span>{</div>
<div class="line"><a id="l00388" name="l00388"></a><span class="lineno"> 388</span> <span class="keywordflow">if</span> (!rules.<a class="code hl_function" href="classxrpl_1_1Rules.html#a125114e27f806d1517096cbee50a2b04">enabled</a>(fixAMMv1_3))</div>
<div class="line"><a id="l00389" name="l00389"></a><span class="lineno"> 389</span> <span class="keywordflow">return</span> frac;</div>
<div class="line"><a id="l00390" name="l00390"></a><span class="lineno"> 390</span> <span class="keywordflow">return</span> tokens / lptAMMBalance;</div>
<div class="line"><a id="l00391" name="l00391"></a><span class="lineno"> 391</span>}</div>
</div>
<div class="line"><a id="l00392" name="l00392"></a><span class="lineno"> 392</span> </div>
<div class="line"><a id="l00393" name="l00393"></a><span class="lineno"> 393</span>} <span class="comment">// namespace xrpl</span></div>
<div class="ttc" id="aclassxrpl_1_1Issue_html"><div class="ttname"><a href="classxrpl_1_1Issue.html">xrpl::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#l00013">Issue.h:14</a></div></div>
<div class="ttc" id="aclassxrpl_1_1NumberRoundModeGuard_html"><div class="ttname"><a href="classxrpl_1_1NumberRoundModeGuard.html">xrpl::NumberRoundModeGuard</a></div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00389">Number.h:390</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html"><div class="ttname"><a href="classxrpl_1_1Number.html">xrpl::Number</a></div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00025">Number.h:26</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a0c71d26d6de400ed12cf3923157aca31"><div class="ttname"><a href="classxrpl_1_1Number.html#a0c71d26d6de400ed12cf3923157aca31">xrpl::Number::getround</a></div><div class="ttdeci">static rounding_mode getround()</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00028">Number.cpp:28</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a274b459d7478df80795caed8a56d4f00"><div class="ttname"><a href="classxrpl_1_1Number.html#a274b459d7478df80795caed8a56d4f00">xrpl::Number::setround</a></div><div class="ttdeci">static rounding_mode setround(rounding_mode mode)</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00034">Number.cpp:34</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a40e08f75077897215c66d102b5b75f95"><div class="ttname"><a href="classxrpl_1_1Number.html#a40e08f75077897215c66d102b5b75f95">xrpl::Number::rounding_mode</a></div><div class="ttdeci">rounding_mode</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00173">Number.h:173</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a40e08f75077897215c66d102b5b75f95aaf71effcd4dcf7bc7c89bb51e27e8b17"><div class="ttname"><a href="classxrpl_1_1Number.html#a40e08f75077897215c66d102b5b75f95aaf71effcd4dcf7bc7c89bb51e27e8b17">xrpl::Number::upward</a></div><div class="ttdeci">@ upward</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00173">Number.h:173</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Number_html_a40e08f75077897215c66d102b5b75f95aefac6c5bd63a85dcee4fc69baf788d40"><div class="ttname"><a href="classxrpl_1_1Number.html#a40e08f75077897215c66d102b5b75f95aefac6c5bd63a85dcee4fc69baf788d40">xrpl::Number::downward</a></div><div class="ttdeci">@ downward</div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00173">Number.h:173</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Rules_html"><div class="ttname"><a href="classxrpl_1_1Rules.html">xrpl::Rules</a></div><div class="ttdoc">Rules controlling protocol behavior.</div><div class="ttdef"><b>Definition</b> <a href="Rules_8h_source.html#l00018">Rules.h:19</a></div></div>
<div class="ttc" id="aclassxrpl_1_1Rules_html_a125114e27f806d1517096cbee50a2b04"><div class="ttname"><a href="classxrpl_1_1Rules.html#a125114e27f806d1517096cbee50a2b04">xrpl::Rules::enabled</a></div><div class="ttdeci">bool enabled(uint256 const &amp;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#l00111">Rules.cpp:111</a></div></div>
<div class="ttc" id="aclassxrpl_1_1STAmount_html"><div class="ttname"><a href="classxrpl_1_1STAmount.html">xrpl::STAmount</a></div><div class="ttdef"><b>Definition</b> <a href="STAmount_8h_source.html#l00030">STAmount.h:31</a></div></div>
<div class="ttc" id="aclassxrpl_1_1STAmount_html_a21f103c714a972c2e3682c5f89360771"><div class="ttname"><a href="classxrpl_1_1STAmount.html#a21f103c714a972c2e3682c5f89360771">xrpl::STAmount::issue</a></div><div class="ttdeci">Issue const &amp; issue() const</div><div class="ttdef"><b>Definition</b> <a href="STAmount_8h_source.html#l00488">STAmount.h:488</a></div></div>
<div class="ttc" id="aclassxrpl_1_1saveNumberRoundMode_html"><div class="ttname"><a href="classxrpl_1_1saveNumberRoundMode.html">xrpl::saveNumberRoundMode</a></div><div class="ttdef"><b>Definition</b> <a href="Number_8h_source.html#l00367">Number.h:368</a></div></div>
<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>
<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>
<div class="ttc" id="ais_same_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/types/is_same.html">std::is_same_v</a></div><div class="ttdeci">T is_same_v</div></div>
<div class="ttc" id="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>
<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>
<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>
<div class="ttc" id="anamespacexrpl_1_1detail_html_a8a7d505d49059bfda5a0abe8e45d7a3c"><div class="ttname"><a href="namespacexrpl_1_1detail.html#a8a7d505d49059bfda5a0abe8e45d7a3c">xrpl::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#l00635">AMMHelpers.h:635</a></div></div>
<div class="ttc" id="anamespacexrpl_1_1detail_html_abf56f4d1d1f7a6f319713befdd38c507"><div class="ttname"><a href="namespacexrpl_1_1detail.html#abf56f4d1d1f7a6f319713befdd38c507">xrpl::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#l00643">AMMHelpers.h:643</a></div></div>
<div class="ttc" id="anamespacexrpl_html"><div class="ttname"><a href="namespacexrpl.html">xrpl</a></div><div class="ttdoc">Use hash_* containers for keys that do not need a cryptographically secure hashing algorithm.</div><div class="ttdef"><b>Definition</b> <a href="algorithm_8h_source.html#l00006">algorithm.h:6</a></div></div>
<div class="ttc" id="anamespacexrpl_html_a17c8d0ffcd3f14dd0441c7f99457f119"><div class="ttname"><a href="namespacexrpl.html#a17c8d0ffcd3f14dd0441c7f99457f119">xrpl::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#l00100">AMMCore.h:100</a></div></div>
<div class="ttc" id="anamespacexrpl_html_a293c232307774d009171955169f6b25f"><div class="ttname"><a href="namespacexrpl.html#a293c232307774d009171955169f6b25f">xrpl::adjustFracByTokens</a></div><div class="ttdeci">Number adjustFracByTokens(Rules const &amp;rules, STAmount const &amp;lptAMMBalance, STAmount const &amp;tokens, Number const &amp;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#l00382">AMMHelpers.cpp:382</a></div></div>
<div class="ttc" id="anamespacexrpl_html_a36f952e305630142ea1bb1946a6dd383"><div class="ttname"><a href="namespacexrpl.html#a36f952e305630142ea1bb1946a6dd383">xrpl::IsDeposit</a></div><div class="ttdeci">IsDeposit</div><div class="ttdef"><b>Definition</b> <a href="AMMHelpers_8h_source.html#l00032">AMMHelpers.h:32</a></div></div>
<div class="ttc" id="anamespacexrpl_html_a36f952e305630142ea1bb1946a6dd383a93cba07454f06a4a960172bbd6e2a435"><div class="ttname"><a href="namespacexrpl.html#a36f952e305630142ea1bb1946a6dd383a93cba07454f06a4a960172bbd6e2a435">xrpl::IsDeposit::Yes</a></div><div class="ttdeci">@ Yes</div></div>
<div class="ttc" id="anamespacexrpl_html_a36f952e305630142ea1bb1946a6dd383abafd7322c6e97d25b6299b5d6fe8920b"><div class="ttname"><a href="namespacexrpl.html#a36f952e305630142ea1bb1946a6dd383abafd7322c6e97d25b6299b5d6fe8920b">xrpl::IsDeposit::No</a></div><div class="ttdeci">@ No</div></div>
<div class="ttc" id="anamespacexrpl_html_a40e86ef937741d6bead51310df36a89e"><div class="ttname"><a href="namespacexrpl.html#a40e86ef937741d6bead51310df36a89e">xrpl::toSTAmount</a></div><div class="ttdeci">STAmount toSTAmount(IOUAmount const &amp;iou, Issue const &amp;iss)</div><div class="ttdef"><b>Definition</b> <a href="AmountConversions_8h_source.html#l00013">AmountConversions.h:13</a></div></div>
<div class="ttc" id="anamespacexrpl_html_a5503668e9fd3f6db11f500552c3584f1"><div class="ttname"><a href="namespacexrpl.html#a5503668e9fd3f6db11f500552c3584f1">xrpl::adjustLPTokens</a></div><div class="ttdeci">STAmount adjustLPTokens(STAmount const &amp;lptAMMBalance, STAmount const &amp;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#l00154">AMMHelpers.cpp:154</a></div></div>
<div class="ttc" id="anamespacexrpl_html_a5a1298fd71a9010ea3228b2ba8d46efe"><div class="ttname"><a href="namespacexrpl.html#a5a1298fd71a9010ea3228b2ba8d46efe">xrpl::getCurrentTransactionRules</a></div><div class="ttdeci">std::optional&lt; Rules &gt; const &amp; getCurrentTransactionRules()</div><div class="ttdef"><b>Definition</b> <a href="Rules_8cpp_source.html#l00028">Rules.cpp:28</a></div></div>
<div class="ttc" id="anamespacexrpl_html_a5d80dac62a2cef71e12b8e69ccc03651"><div class="ttname"><a href="namespacexrpl.html#a5d80dac62a2cef71e12b8e69ccc03651">xrpl::solveQuadraticEq</a></div><div class="ttdeci">Number solveQuadraticEq(Number const &amp;a, Number const &amp;b, Number const &amp;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#l00245">AMMHelpers.cpp:245</a></div></div>
<div class="ttc" id="anamespacexrpl_html_a6226af7a6f73b543e77694e5b163673b"><div class="ttname"><a href="namespacexrpl.html#a6226af7a6f73b543e77694e5b163673b">xrpl::ammLPTokens</a></div><div class="ttdeci">STAmount ammLPTokens(STAmount const &amp;asset1, STAmount const &amp;asset2, Issue const &amp;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#l00006">AMMHelpers.cpp:6</a></div></div>
<div class="ttc" id="anamespacexrpl_html_a63a3223bbf81dbd09717eb04d45d58cf"><div class="ttname"><a href="namespacexrpl.html#a63a3223bbf81dbd09717eb04d45d58cf">xrpl::multiply</a></div><div class="ttdeci">STAmount multiply(STAmount const &amp;amount, Rate const &amp;rate)</div><div class="ttdef"><b>Definition</b> <a href="Rate2_8cpp_source.html#l00034">Rate2.cpp:34</a></div></div>
<div class="ttc" id="anamespacexrpl_html_a65b880854f3adbafe7196ad6e07cacc0"><div class="ttname"><a href="namespacexrpl.html#a65b880854f3adbafe7196ad6e07cacc0">xrpl::ammAssetOut</a></div><div class="ttdeci">STAmount ammAssetOut(STAmount const &amp;assetBalance, STAmount const &amp;lptAMMBalance, STAmount const &amp;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#l00126">AMMHelpers.cpp:126</a></div></div>
<div class="ttc" id="anamespacexrpl_html_a6a17323fffb98318d59259cc12c75127"><div class="ttname"><a href="namespacexrpl.html#a6a17323fffb98318d59259cc12c75127">xrpl::getRoundedLPTokens</a></div><div class="ttdeci">STAmount getRoundedLPTokens(Rules const &amp;rules, STAmount const &amp;balance, Number const &amp;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#l00292">AMMHelpers.cpp:292</a></div></div>
<div class="ttc" id="anamespacexrpl_html_a7e0d13a8c7cf385e1ca9512163a0bf8a"><div class="ttname"><a href="namespacexrpl.html#a7e0d13a8c7cf385e1ca9512163a0bf8a">xrpl::adjustAssetInByTokens</a></div><div class="ttdeci">std::pair&lt; STAmount, STAmount &gt; adjustAssetInByTokens(Rules const &amp;rules, STAmount const &amp;balance, STAmount const &amp;amount, STAmount const &amp;lptAMMBalance, STAmount const &amp;tokens, std::uint16_t tfee)</div><div class="ttdef"><b>Definition</b> <a href="AMMHelpers_8cpp_source.html#l00330">AMMHelpers.cpp:330</a></div></div>
<div class="ttc" id="anamespacexrpl_html_a897488203b50a0d19c8798a1ab65c65c"><div class="ttname"><a href="namespacexrpl.html#a897488203b50a0d19c8798a1ab65c65c">xrpl::adjustAssetOutByTokens</a></div><div class="ttdeci">std::pair&lt; STAmount, STAmount &gt; adjustAssetOutByTokens(Rules const &amp;rules, STAmount const &amp;balance, STAmount const &amp;amount, STAmount const &amp;lptAMMBalance, STAmount const &amp;tokens, std::uint16_t tfee)</div><div class="ttdef"><b>Definition</b> <a href="AMMHelpers_8cpp_source.html#l00356">AMMHelpers.cpp:356</a></div></div>
<div class="ttc" id="anamespacexrpl_html_a9642f0a8b029845edff291f4e3fe2166"><div class="ttname"><a href="namespacexrpl.html#a9642f0a8b029845edff291f4e3fe2166">xrpl::getRoundedAsset</a></div><div class="ttdeci">STAmount getRoundedAsset(Rules const &amp;rules, STAmount const &amp;balance, A const &amp;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#l00659">AMMHelpers.h:659</a></div></div>
<div class="ttc" id="anamespacexrpl_html_aa0a361beb4e49cb6a4653ec984d997dc"><div class="ttname"><a href="namespacexrpl.html#aa0a361beb4e49cb6a4653ec984d997dc">xrpl::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#l00091">AMMCore.h:91</a></div></div>
<div class="ttc" id="anamespacexrpl_html_aa9ebaa68ee1380436934e0e1ab2068b2"><div class="ttname"><a href="namespacexrpl.html#aa9ebaa68ee1380436934e0e1ab2068b2">xrpl::solveQuadraticEqSmallest</a></div><div class="ttdeci">std::optional&lt; Number &gt; solveQuadraticEqSmallest(Number const &amp;a, Number const &amp;b, Number const &amp;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#l00252">AMMHelpers.cpp:252</a></div></div>
<div class="ttc" id="anamespacexrpl_html_ab334d11f65b71b91e2c6c907090398cb"><div class="ttname"><a href="namespacexrpl.html#ab334d11f65b71b91e2c6c907090398cb">xrpl::root2</a></div><div class="ttdeci">Number root2(Number f)</div><div class="ttdef"><b>Definition</b> <a href="Number_8cpp_source.html#l00709">Number.cpp:709</a></div></div>
<div class="ttc" id="anamespacexrpl_html_abdbadb99f2819d335af25338059c024d"><div class="ttname"><a href="namespacexrpl.html#abdbadb99f2819d335af25338059c024d">xrpl::ammAssetIn</a></div><div class="ttdeci">STAmount ammAssetIn(STAmount const &amp;asset1Balance, STAmount const &amp;lptAMMBalance, STAmount const &amp;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#l00061">AMMHelpers.cpp:61</a></div></div>
<div class="ttc" id="anamespacexrpl_html_ac53efcd7320c16cbf784266098ebf0e7"><div class="ttname"><a href="namespacexrpl.html#ac53efcd7320c16cbf784266098ebf0e7">xrpl::adjustAmountsByLPTokens</a></div><div class="ttdeci">std::tuple&lt; STAmount, std::optional&lt; STAmount &gt;, STAmount &gt; adjustAmountsByLPTokens(STAmount const &amp;amountBalance, STAmount const &amp;amount, std::optional&lt; STAmount &gt; const &amp;amount2, STAmount const &amp;lptAMMBalance, STAmount const &amp;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#l00168">AMMHelpers.cpp:168</a></div></div>
<div class="ttc" id="anamespacexrpl_html_acbd9269cc6ee148cc8fe816d4f57a399"><div class="ttname"><a href="namespacexrpl.html#acbd9269cc6ee148cc8fe816d4f57a399">xrpl::lpTokensIn</a></div><div class="ttdeci">STAmount lpTokensIn(STAmount const &amp;asset1Balance, STAmount const &amp;asset1Withdraw, STAmount const &amp;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#l00093">AMMHelpers.cpp:93</a></div></div>
<div class="ttc" id="anamespacexrpl_html_acc61573879eaa546a305cad60f2de28b"><div class="ttname"><a href="namespacexrpl.html#acc61573879eaa546a305cad60f2de28b">xrpl::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#l00082">AMMCore.h:82</a></div></div>
<div class="ttc" id="anamespacexrpl_html_af445c7434a225c64374da975ec967c86"><div class="ttname"><a href="namespacexrpl.html#af445c7434a225c64374da975ec967c86">xrpl::square</a></div><div class="ttdeci">Number square(Number const &amp;n)</div><div class="ttdoc">Return square of n.</div><div class="ttdef"><b>Definition</b> <a href="AMMHelpers_8cpp_source.html#l00148">AMMHelpers.cpp:148</a></div></div>
<div class="ttc" id="anamespacexrpl_html_af922435a5bf5d571d5c2ea04c81b6cb1"><div class="ttname"><a href="namespacexrpl.html#af922435a5bf5d571d5c2ea04c81b6cb1">xrpl::lpTokensOut</a></div><div class="ttdeci">STAmount lpTokensOut(STAmount const &amp;asset1Balance, STAmount const &amp;asset1Deposit, STAmount const &amp;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#l00026">AMMHelpers.cpp:26</a></div></div>
<div class="ttc" id="anamespacexrpl_html_afc329ed04027b64314201fce67ebfa5e"><div class="ttname"><a href="namespacexrpl.html#afc329ed04027b64314201fce67ebfa5e">xrpl::isFeatureEnabled</a></div><div class="ttdeci">bool isFeatureEnabled(uint256 const &amp;feature)</div><div class="ttdef"><b>Definition</b> <a href="Rules_8cpp_source.html#l00136">Rules.cpp:136</a></div></div>
<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>
<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>
<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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