Documentation for 0c08cd75f9

d0/d01/smallest__circle_8cpp.html

@@ -172,28 +172,28 @@ The function returns the radius of the circle and prints the coordinated of the
 <div class="line"><a id="l00096" name="l00096"></a><span class="lineno">   96</span>        <span class="comment">// for every subsequent point in the list</span></div>
 <div class="line"><a id="l00097" name="l00097"></a><span class="lineno">   97</span>        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = i + 1; j &lt; P.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); j++)</div>
 <div class="line"><a id="l00098" name="l00098"></a><span class="lineno">   98</span>            <span class="comment">// for every subsequent point in the list</span></div>
-<div class="line"><a id="l00099" name="l00099"></a><span class="lineno">   99</span>            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> k = j + 1; <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a> &lt; P.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>++) {</div>
+<div class="line"><a id="l00099" name="l00099"></a><span class="lineno">   99</span>            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> k = j + 1; <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a> &lt; P.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>++) {</div>
 <div class="line"><a id="l00100" name="l00100"></a><span class="lineno">  100</span>                <span class="comment">// here, we now have picked three points from the given set of</span></div>
 <div class="line"><a id="l00101" name="l00101"></a><span class="lineno">  101</span>                <span class="comment">// points that we can use</span></div>
 <div class="line"><a id="l00102" name="l00102"></a><span class="lineno">  102</span>                <span class="comment">// viz., P[i], P[j] and P[k]</span></div>
 <div class="line"><a id="l00103" name="l00103"></a><span class="lineno">  103</span>                C.x = -0.5 * ((P[i].y * (P[j].x * P[j].x + P[j].y * P[j].y -</div>
-<div class="line"><a id="l00104" name="l00104"></a><span class="lineno">  104</span>                                         P[<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>].x * P[<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>].x - P[<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>].y * P[<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>].y) +</div>
+<div class="line"><a id="l00104" name="l00104"></a><span class="lineno">  104</span>                                         P[<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>].x * P[<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>].x - P[<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>].y * P[<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>].y) +</div>
 <div class="line"><a id="l00105" name="l00105"></a><span class="lineno">  105</span>                               P[j].y * (P[k].x * P[k].x + P[k].y * P[k].y -</div>
 <div class="line"><a id="l00106" name="l00106"></a><span class="lineno">  106</span>                                         P[i].x * P[i].x - P[i].y * P[i].y) +</div>
-<div class="line"><a id="l00107" name="l00107"></a><span class="lineno">  107</span>                               P[<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>].y * (P[i].x * P[i].x + P[i].y * P[i].y -</div>
+<div class="line"><a id="l00107" name="l00107"></a><span class="lineno">  107</span>                               P[<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>].y * (P[i].x * P[i].x + P[i].y * P[i].y -</div>
 <div class="line"><a id="l00108" name="l00108"></a><span class="lineno">  108</span>                                         P[j].x * P[j].x - P[j].y * P[j].y)) /</div>
-<div class="line"><a id="l00109" name="l00109"></a><span class="lineno">  109</span>                              (P[i].x * (P[j].y - P[<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>].y) +</div>
+<div class="line"><a id="l00109" name="l00109"></a><span class="lineno">  109</span>                              (P[i].x * (P[j].y - P[<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>].y) +</div>
 <div class="line"><a id="l00110" name="l00110"></a><span class="lineno">  110</span>                               P[j].x * (P[k].y - P[i].y) +</div>
-<div class="line"><a id="l00111" name="l00111"></a><span class="lineno">  111</span>                               P[<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>].x * (P[i].y - P[j].y)));</div>
+<div class="line"><a id="l00111" name="l00111"></a><span class="lineno">  111</span>                               P[<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>].x * (P[i].y - P[j].y)));</div>
 <div class="line"><a id="l00112" name="l00112"></a><span class="lineno">  112</span>                C.<a class="code hl_variable" href="../../d8/dc8/struct_point.html#a2e1b5fb2b2a83571f5c0bc0f66a73cf7">y</a> = 0.5 * ((P[i].x * (P[j].x * P[j].x + P[j].y * P[j].y -</div>
-<div class="line"><a id="l00113" name="l00113"></a><span class="lineno">  113</span>                                        P[<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>].x * P[<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>].x - P[<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>].y * P[<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>].y) +</div>
+<div class="line"><a id="l00113" name="l00113"></a><span class="lineno">  113</span>                                        P[<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>].x * P[<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>].x - P[<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>].y * P[<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>].y) +</div>
 <div class="line"><a id="l00114" name="l00114"></a><span class="lineno">  114</span>                              P[j].x * (P[k].x * P[k].x + P[k].y * P[k].y -</div>
 <div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span>                                        P[i].x * P[i].x - P[i].y * P[i].y) +</div>
-<div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span>                              P[<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>].x * (P[i].x * P[i].x + P[i].y * P[i].y -</div>
+<div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span>                              P[<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>].x * (P[i].x * P[i].x + P[i].y * P[i].y -</div>
 <div class="line"><a id="l00117" name="l00117"></a><span class="lineno">  117</span>                                        P[j].x * P[j].x - P[j].y * P[j].y)) /</div>
-<div class="line"><a id="l00118" name="l00118"></a><span class="lineno">  118</span>                             (P[i].x * (P[j].y - P[<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>].y) +</div>
+<div class="line"><a id="l00118" name="l00118"></a><span class="lineno">  118</span>                             (P[i].x * (P[j].y - P[<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>].y) +</div>
 <div class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span>                              P[j].x * (P[k].y - P[i].y) +</div>
-<div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span>                              P[<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>].x * (P[i].y - P[j].y)));</div>
+<div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span>                              P[<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>].x * (P[i].y - P[j].y)));</div>
 <div class="line"><a id="l00121" name="l00121"></a><span class="lineno">  121</span>                R = (<a class="code hl_function" href="../../d0/d01/smallest__circle_8cpp.html#a3cbebd6f4d2cdf227663c67fe41ba12a">LenghtLine</a>(P[i], P[j]) * <a class="code hl_function" href="../../d0/d01/smallest__circle_8cpp.html#a3cbebd6f4d2cdf227663c67fe41ba12a">LenghtLine</a>(P[j], P[k]) *</div>
 <div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span>                     <a class="code hl_function" href="../../d0/d01/smallest__circle_8cpp.html#a3cbebd6f4d2cdf227663c67fe41ba12a">LenghtLine</a>(P[k], P[i])) /</div>
 <div class="line"><a id="l00123" name="l00123"></a><span class="lineno">  123</span>                    (4 * <a class="code hl_function" href="../../d0/d01/smallest__circle_8cpp.html#a94682a4a70d5906857ca09de5b9fb2cc">TriangleArea</a>(P[i], P[j], P[k]));</div>
@@ -226,8 +226,8 @@ The function returns the radius of the circle and prints the coordinated of the
 <div class="line"><a id="l00150" name="l00150"></a><span class="lineno">  150</span>    <span class="keywordflow">return</span> minR;</div>
 <div class="line"><a id="l00151" name="l00151"></a><span class="lineno">  151</span>}</div>
 <div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
+<div class="ttc" id="acomposite__simpson__rule_8cpp_html_a1b74d828b33760094906797042b89442"><div class="ttname"><a href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">numerical_methods::simpson_method::k</a></div><div class="ttdeci">double k(double x)</div><div class="ttdoc">Another test function.</div><div class="ttdef"><b>Definition:</b> composite_simpson_rule.cpp:115</div></div>
 <div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
-<div class="ttc" id="amidpoint__integral__method_8cpp_html_ae9f66040f8e0ba73c1c741261c22a52a"><div class="ttname"><a href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">numerical_methods::midpoint_rule::k</a></div><div class="ttdeci">double k(double x)</div><div class="ttdoc">A function k(x) that will be used to test the method.</div><div class="ttdef"><b>Definition:</b> midpoint_integral_method.cpp:103</div></div>
 <div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/size.html">std::vector::size</a></div><div class="ttdeci">T size(T... args)</div></div>
 <div class="ttc" id="asmallest__circle_8cpp_html_a3cbebd6f4d2cdf227663c67fe41ba12a"><div class="ttname"><a href="../../d0/d01/smallest__circle_8cpp.html#a3cbebd6f4d2cdf227663c67fe41ba12a">LenghtLine</a></div><div class="ttdeci">double LenghtLine(const Point &amp;A, const Point &amp;B)</div><div class="ttdef"><b>Definition:</b> smallest_circle.cpp:37</div></div>
 <div class="ttc" id="asmallest__circle_8cpp_html_a94682a4a70d5906857ca09de5b9fb2cc"><div class="ttname"><a href="../../d0/d01/smallest__circle_8cpp.html#a94682a4a70d5906857ca09de5b9fb2cc">TriangleArea</a></div><div class="ttdeci">double TriangleArea(const Point &amp;A, const Point &amp;B, const Point &amp;C)</div><div class="ttdef"><b>Definition:</b> smallest_circle.cpp:54</div></div>

d0/d01/smallest__circle_8cpp_a0283886819c7c140a023582b7269e2d0_cgraph.svg

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 <div class="fragment"><div class="line"><a id="l00058" name="l00058"></a><span class="lineno">   58</span>                                                                 {</div>
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 <div class="line"><a id="l00062" name="l00062"></a><span class="lineno">   62</span>        <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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 <div class="line"><a id="l00064" name="l00064"></a><span class="lineno">   64</span> </div>
-<div class="line"><a id="l00065" name="l00065"></a><span class="lineno">   65</span>    <span class="keywordflow">for</span> (k = 0; <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a> &lt; V; <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>++) {</div>
-<div class="line"><a id="l00066" name="l00066"></a><span class="lineno">   66</span>        xnext = x + xmov[<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>];</div>
-<div class="line"><a id="l00067" name="l00067"></a><span class="lineno">   67</span>        ynext = y + ymov[<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>];</div>
+<div class="line"><a id="l00065" name="l00065"></a><span class="lineno">   65</span>    <span class="keywordflow">for</span> (k = 0; <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a> &lt; V; <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>++) {</div>
+<div class="line"><a id="l00066" name="l00066"></a><span class="lineno">   66</span>        xnext = x + xmov[<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>];</div>
+<div class="line"><a id="l00067" name="l00067"></a><span class="lineno">   67</span>        ynext = y + ymov[<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>];</div>
 <div class="line"><a id="l00068" name="l00068"></a><span class="lineno">   68</span> </div>
 <div class="line"><a id="l00069" name="l00069"></a><span class="lineno">   69</span>        <span class="keywordflow">if</span> (issafe&lt;V&gt;(xnext, ynext, sol)) {</div>
 <div class="line"><a id="l00070" name="l00070"></a><span class="lineno">   70</span>            sol[xnext][ynext] = <a class="code hl_function" href="../../db/d3c/tower__of__hanoi_8cpp.html#af4cfc41e546f1f8d25f01e0804e8b61d">mov</a>;</div>
@@ -344,7 +344,7 @@ template&lt;size_t V&gt; </div>
 <div class="line"><a id="l00078" name="l00078"></a><span class="lineno">   78</span>    }</div>
 <div class="line"><a id="l00079" name="l00079"></a><span class="lineno">   79</span>    <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
 <div class="line"><a id="l00080" name="l00080"></a><span class="lineno">   80</span>}</div>
-<div class="ttc" id="amidpoint__integral__method_8cpp_html_ae9f66040f8e0ba73c1c741261c22a52a"><div class="ttname"><a href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">numerical_methods::midpoint_rule::k</a></div><div class="ttdeci">double k(double x)</div><div class="ttdoc">A function k(x) that will be used to test the method.</div><div class="ttdef"><b>Definition:</b> midpoint_integral_method.cpp:103</div></div>
+<div class="ttc" id="acomposite__simpson__rule_8cpp_html_a1b74d828b33760094906797042b89442"><div class="ttname"><a href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">numerical_methods::simpson_method::k</a></div><div class="ttdeci">double k(double x)</div><div class="ttdoc">Another test function.</div><div class="ttdef"><b>Definition:</b> composite_simpson_rule.cpp:115</div></div>
 <div class="ttc" id="atower__of__hanoi_8cpp_html_af4cfc41e546f1f8d25f01e0804e8b61d"><div class="ttname"><a href="../../db/d3c/tower__of__hanoi_8cpp.html#af4cfc41e546f1f8d25f01e0804e8b61d">mov</a></div><div class="ttdeci">void mov(tower *From, tower *To)</div><div class="ttdef"><b>Definition:</b> tower_of_hanoi.cpp:39</div></div>
 </div><!-- fragment --><div class="dynheader">
 Here is the call graph for this function:</div>

d1/d2a/knight__tour_8cpp_aaa47356d98676cf5315d978f741e29c9_cgraph.svg

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d1/d2a/knight__tour_8cpp_af27031fbff093ffd625f64010d98aab2_cgraph.svg

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+<!-- Generated by graphviz version 2.49.3 (20211023.0002)
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 <!-- Title: backtracking::knight_tour::issafe Pages: 1 -->
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d1/d33/caesar__cipher_8cpp__incl.svg

@@ -1,7 +1,7 @@
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+<!-- Generated by graphviz version 2.49.3 (20211023.0002)
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 <!-- Title: ciphers/caesar_cipher.cpp Pages: 1 -->
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d1/d3c/queue__using__two__stacks_8cpp__incl.svg

@@ -1,7 +1,7 @@
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+<!-- Generated by graphviz version 2.49.3 (20211023.0002)
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 <!-- Title: data_structures/queue_using_two_stacks.cpp Pages: 1 -->
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d1/d40/longest__increasing__subsequence_8cpp__incl.svg

@@ -1,7 +1,7 @@
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 <!-- Title: dynamic_programming/longest_increasing_subsequence.cpp Pages: 1 -->
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d1/d4a/finding__number__of__digits__in__a__number_8cpp__incl.svg

@@ -1,7 +1,7 @@
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+<!-- Generated by graphviz version 2.49.3 (20211023.0002)
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 <!-- Title: math/finding_number_of_digits_in_a_number.cpp Pages: 1 -->
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d1/d4b/ordinary__least__squares__regressor_8cpp__incl.svg

@@ -1,7 +1,7 @@
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 <!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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-<!-- Generated by graphviz version 2.49.2 (20211016.1639)
+<!-- Generated by graphviz version 2.49.3 (20211023.0002)
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 <!-- Title: machine_learning/ordinary_least_squares_regressor.cpp Pages: 1 -->
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d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html

@@ -394,9 +394,9 @@ template&lt;typename X &gt; </div>
 <div class="line"><a id="l00118" name="l00118"></a><span class="lineno">  118</span>    <span class="keywordflow">if</span> (p != -1) {</div>
 <div class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span>      <a class="code hl_variable" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a0efd0b9c564092f443ca97030d866ef1">t_depth</a>[u] = 1 + <a class="code hl_variable" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a0efd0b9c564092f443ca97030d866ef1">t_depth</a>[p];</div>
 <div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span>    }</div>
-<div class="line"><a id="l00121" name="l00121"></a><span class="lineno">  121</span>    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 1; <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a> &lt; <a class="code hl_variable" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ab2ab020f798d00be2613ecf63074b7c1">t_maxlift</a>; <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>++) {</div>
+<div class="line"><a id="l00121" name="l00121"></a><span class="lineno">  121</span>    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 1; <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a> &lt; <a class="code hl_variable" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ab2ab020f798d00be2613ecf63074b7c1">t_maxlift</a>; <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>++) {</div>
 <div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span>      <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a350157a5fb79f76fceae33fc84171203">t_par</a>[u][k - 1] != -1) {</div>
-<div class="line"><a id="l00123" name="l00123"></a><span class="lineno">  123</span>        <a class="code hl_variable" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a350157a5fb79f76fceae33fc84171203">t_par</a>[u][<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>] = <a class="code hl_variable" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a350157a5fb79f76fceae33fc84171203">t_par</a>[<a class="code hl_variable" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a350157a5fb79f76fceae33fc84171203">t_par</a>[u][<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a> - 1]][<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a> - 1];</div>
+<div class="line"><a id="l00123" name="l00123"></a><span class="lineno">  123</span>        <a class="code hl_variable" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a350157a5fb79f76fceae33fc84171203">t_par</a>[u][<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>] = <a class="code hl_variable" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a350157a5fb79f76fceae33fc84171203">t_par</a>[<a class="code hl_variable" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a350157a5fb79f76fceae33fc84171203">t_par</a>[u][<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a> - 1]][<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a> - 1];</div>
 <div class="line"><a id="l00124" name="l00124"></a><span class="lineno">  124</span>      }</div>
 <div class="line"><a id="l00125" name="l00125"></a><span class="lineno">  125</span>    }</div>
 <div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span> </div>
@@ -407,7 +407,7 @@ template&lt;typename X &gt; </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>  }</div>
 <div class="ttc" id="aclassrange__queries_1_1heavy__light__decomposition_1_1_tree_html_ae8de7aefcb6635d3dacdd174cd4890c4"><div class="ttname"><a href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ae8de7aefcb6635d3dacdd174cd4890c4">range_queries::heavy_light_decomposition::Tree::dfs_lca</a></div><div class="ttdeci">void dfs_lca(int u, int p=-1)</div><div class="ttdoc">Utility function to populate the t_par vector.</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:116</div></div>
-<div class="ttc" id="amidpoint__integral__method_8cpp_html_ae9f66040f8e0ba73c1c741261c22a52a"><div class="ttname"><a href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">numerical_methods::midpoint_rule::k</a></div><div class="ttdeci">double k(double x)</div><div class="ttdoc">A function k(x) that will be used to test the method.</div><div class="ttdef"><b>Definition:</b> midpoint_integral_method.cpp:103</div></div>
+<div class="ttc" id="acomposite__simpson__rule_8cpp_html_a1b74d828b33760094906797042b89442"><div class="ttname"><a href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">numerical_methods::simpson_method::k</a></div><div class="ttdeci">double k(double x)</div><div class="ttdoc">Another test function.</div><div class="ttdef"><b>Definition:</b> composite_simpson_rule.cpp:115</div></div>
 </div><!-- fragment --><div class="dynheader">
 Here is the call graph for this function:</div>
 <div class="dyncontent">
@@ -637,10 +637,10 @@ template&lt;typename X &gt; </div>
 <div class="line"><a id="l00237" name="l00237"></a><span class="lineno">  237</span>    <span class="keywordflow">if</span> (a == b) {</div>
 <div class="line"><a id="l00238" name="l00238"></a><span class="lineno">  238</span>      <span class="keywordflow">return</span> a;</div>
 <div class="line"><a id="l00239" name="l00239"></a><span class="lineno">  239</span>    }</div>
-<div class="line"><a id="l00240" name="l00240"></a><span class="lineno">  240</span>    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = <a class="code hl_variable" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ab2ab020f798d00be2613ecf63074b7c1">t_maxlift</a> - 1; <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a> &gt;= 0; <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>--) {</div>
+<div class="line"><a id="l00240" name="l00240"></a><span class="lineno">  240</span>    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = <a class="code hl_variable" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ab2ab020f798d00be2613ecf63074b7c1">t_maxlift</a> - 1; <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a> &gt;= 0; <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>--) {</div>
 <div class="line"><a id="l00241" name="l00241"></a><span class="lineno">  241</span>      <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a350157a5fb79f76fceae33fc84171203">t_par</a>[a][k] != <a class="code hl_variable" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a350157a5fb79f76fceae33fc84171203">t_par</a>[b][k]) {</div>
-<div class="line"><a id="l00242" name="l00242"></a><span class="lineno">  242</span>        a = <a class="code hl_variable" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a350157a5fb79f76fceae33fc84171203">t_par</a>[a][<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>];</div>
-<div class="line"><a id="l00243" name="l00243"></a><span class="lineno">  243</span>        b = <a class="code hl_variable" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a350157a5fb79f76fceae33fc84171203">t_par</a>[b][<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>];</div>
+<div class="line"><a id="l00242" name="l00242"></a><span class="lineno">  242</span>        a = <a class="code hl_variable" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a350157a5fb79f76fceae33fc84171203">t_par</a>[a][<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>];</div>
+<div class="line"><a id="l00243" name="l00243"></a><span class="lineno">  243</span>        b = <a class="code hl_variable" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a350157a5fb79f76fceae33fc84171203">t_par</a>[b][<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>];</div>
 <div class="line"><a id="l00244" name="l00244"></a><span class="lineno">  244</span>      }</div>
 <div class="line"><a id="l00245" name="l00245"></a><span class="lineno">  245</span>    }</div>
 <div class="line"><a id="l00246" name="l00246"></a><span class="lineno">  246</span>    <span class="keywordflow">return</span> <a class="code hl_variable" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a350157a5fb79f76fceae33fc84171203">t_par</a>[a][0];</div>
@@ -700,12 +700,12 @@ template&lt;typename X &gt; </div>
 </dl>
 <dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
 <div class="fragment"><div class="line"><a id="l00200" name="l00200"></a><span class="lineno">  200</span>                                    {</div>
-<div class="line"><a id="l00201" name="l00201"></a><span class="lineno">  201</span>    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a> &lt; <a class="code hl_variable" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ab2ab020f798d00be2613ecf63074b7c1">t_maxlift</a>; <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>++) {</div>
+<div class="line"><a id="l00201" name="l00201"></a><span class="lineno">  201</span>    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a> &lt; <a class="code hl_variable" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#ab2ab020f798d00be2613ecf63074b7c1">t_maxlift</a>; <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>++) {</div>
 <div class="line"><a id="l00202" name="l00202"></a><span class="lineno">  202</span>      <span class="keywordflow">if</span> (*p == -1) {</div>
 <div class="line"><a id="l00203" name="l00203"></a><span class="lineno">  203</span>        <span class="keywordflow">return</span>;</div>
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 <div class="line"><a id="l00205" name="l00205"></a><span class="lineno">  205</span>      <span class="keywordflow">if</span> (dist &amp; 1) {</div>
-<div class="line"><a id="l00206" name="l00206"></a><span class="lineno">  206</span>        *p = <a class="code hl_variable" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a350157a5fb79f76fceae33fc84171203">t_par</a>[*p][<a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a>];</div>
+<div class="line"><a id="l00206" name="l00206"></a><span class="lineno">  206</span>        *p = <a class="code hl_variable" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#a350157a5fb79f76fceae33fc84171203">t_par</a>[*p][<a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>];</div>
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 <div class="line"><a id="l00208" name="l00208"></a><span class="lineno">  208</span>      dist &gt;&gt;= 1;</div>
 <div class="line"><a id="l00209" name="l00209"></a><span class="lineno">  209</span>    }</div>

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