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@@ -172,28 +172,28 @@ The function returns the radius of the circle and prints the coordinated of the
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<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>
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<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 < P.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); j++)</div>
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<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>
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<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; k < P.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); k++) {</div>
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<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> < 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>
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<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>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="comment">// points that we can use</span></div>
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<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>
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<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>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> P[k].x * P[k].x - P[k].y * P[k].y) +</div>
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<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>
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<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>
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<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>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> P[k].y * (P[i].x * P[i].x + P[i].y * P[i].y -</div>
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<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>
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<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>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> (P[i].x * (P[j].y - P[k].y) +</div>
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<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>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> P[j].x * (P[k].y - P[i].y) +</div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> P[k].x * (P[i].y - P[j].y)));</div>
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<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>
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<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>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> P[k].x * P[k].x - P[k].y * P[k].y) +</div>
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<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>
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<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>
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<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>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> P[k].x * (P[i].x * P[i].x + P[i].y * P[i].y -</div>
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<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>
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<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>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> (P[i].x * (P[j].y - P[k].y) +</div>
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<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>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> P[j].x * (P[k].y - P[i].y) +</div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> P[k].x * (P[i].y - P[j].y)));</div>
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<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>
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<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>
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<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>
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<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>
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@@ -227,6 +227,7 @@ The function returns the radius of the circle and prints the coordinated of the
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span>}</div>
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<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>
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<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>
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<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>
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<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>
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<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 &A, const Point &B)</div><div class="ttdef"><b>Definition:</b> smallest_circle.cpp:37</div></div>
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<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 &A, const Point &B, const Point &C)</div><div class="ttdef"><b>Definition:</b> smallest_circle.cpp:54</div></div>
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@@ -172,7 +172,7 @@ constexpr float </td><td class="memItemRight" valign="bottom"><b>data_struc
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<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> <a class="code hl_class" href="../../d4/d90/classdata__structures_1_1_skip_list.html">data_structures::SkipList</a> lst;</div>
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<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> </div>
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<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < (1 << (<a class="code hl_variable" href="../../d5/d3c/namespacedata__structures.html#ac0d7e0be24da9f41bcb19745873c436a">data_structures::MAX_LEVEL</a> + 1)); j++) {</div>
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<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> <span class="keywordtype">int</span> k = (<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % (1 << (<a class="code hl_variable" href="../../d5/d3c/namespacedata__structures.html#ac0d7e0be24da9f41bcb19745873c436a">data_structures::MAX_LEVEL</a> + 2)) + 1);</div>
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<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> <span class="keywordtype">int</span> <a class="code hl_function" href="../../df/d11/midpoint__integral__method_8cpp.html#ae9f66040f8e0ba73c1c741261c22a52a">k</a> = (<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % (1 << (<a class="code hl_variable" href="../../d5/d3c/namespacedata__structures.html#ac0d7e0be24da9f41bcb19745873c436a">data_structures::MAX_LEVEL</a> + 2)) + 1);</div>
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<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> lst.<a class="code hl_function" href="../../d4/d90/classdata__structures_1_1_skip_list.html#a40a4042bdf0b6683b5f21ae7854de8a9">insertElement</a>(k, &j);</div>
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<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> }</div>
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<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> </div>
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@@ -183,6 +183,7 @@ constexpr float </td><td class="memItemRight" valign="bottom"><b>data_struc
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<div class="ttc" id="aclassdata__structures_1_1_skip_list_html"><div class="ttname"><a href="../../d4/d90/classdata__structures_1_1_skip_list.html">data_structures::SkipList</a></div><div class="ttdef"><b>Definition:</b> skip_list.cpp:55</div></div>
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<div class="ttc" id="aclassdata__structures_1_1_skip_list_html_a40a4042bdf0b6683b5f21ae7854de8a9"><div class="ttname"><a href="../../d4/d90/classdata__structures_1_1_skip_list.html#a40a4042bdf0b6683b5f21ae7854de8a9">data_structures::SkipList::insertElement</a></div><div class="ttdeci">void insertElement(int key, void *value)</div><div class="ttdef"><b>Definition:</b> skip_list.cpp:90</div></div>
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<div class="ttc" id="aclassdata__structures_1_1_skip_list_html_a812611f80b8079268dbb19cc4e9bee5c"><div class="ttname"><a href="../../d4/d90/classdata__structures_1_1_skip_list.html#a812611f80b8079268dbb19cc4e9bee5c">data_structures::SkipList::displayList</a></div><div class="ttdeci">void displayList()</div><div class="ttdef"><b>Definition:</b> skip_list.cpp:191</div></div>
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<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>
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<div class="ttc" id="anamespacedata__structures_html_ac0d7e0be24da9f41bcb19745873c436a"><div class="ttname"><a href="../../d5/d3c/namespacedata__structures.html#ac0d7e0be24da9f41bcb19745873c436a">data_structures::MAX_LEVEL</a></div><div class="ttdeci">constexpr int MAX_LEVEL</div><div class="ttdoc">Maximum level of skip list.</div><div class="ttdef"><b>Definition:</b> skip_list.cpp:27</div></div>
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<div class="ttc" id="arand_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a></div><div class="ttdeci">T rand(T... args)</div></div>
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<div class="ttc" id="asrand_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">std::srand</a></div><div class="ttdeci">T srand(T... args)</div></div>
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