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 <span id="projectnumber">1.0.0</span>
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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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<div class="title">Class List</div> </div>
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<div class="contents">
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<div class="textblock">Here are the classes, structs, unions and interfaces with brief descriptions:</div><div class="directory">
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<div class="levels">[detail level <span onclick="javascript:toggleLevel(1);">1</span><span onclick="javascript:toggleLevel(2);">2</span>]</div><table class="directory">
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<tr id="row_0_" class="even"><td class="entry"><span style="width:0px;display:inline-block;"> </span><span id="arr_0_" class="arrow" onclick="toggleFolder('0_')">▼</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d77/namespacemachine__learning.html" target="_self">machine_learning</a></td><td class="desc">Machine learning algorithms </td></tr>
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||||
<tr id="row_0_0_"><td class="entry"><span style="width:32px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="d6/d30/classmachine__learning_1_1adaline.html" target="_self">adaline</a></td><td class="desc"></td></tr>
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<tr id="row_1_" class="even"><td class="entry"><span style="width:0px;display:inline-block;"> </span><span id="arr_1_" class="arrow" onclick="toggleFolder('1_')">▼</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/dcf/namespacestatistics.html" target="_self">statistics</a></td><td class="desc">Statistical algorithms </td></tr>
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||||
<tr id="row_1_0_"><td class="entry"><span style="width:32px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="d7/d7c/classstatistics_1_1stats__computer1.html" target="_self">stats_computer1</a></td><td class="desc"></td></tr>
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||||
<tr id="row_1_1_" class="even"><td class="entry"><span style="width:32px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/dab/classstatistics_1_1stats__computer2.html" target="_self">stats_computer2</a></td><td class="desc"></td></tr>
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||||
<tr id="row_2_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="df/d27/class_bit.html" target="_self">Bit</a></td><td class="desc"></td></tr>
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||||
<tr id="row_3_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="d9/d90/struct_btree.html" target="_self">Btree</a></td><td class="desc"></td></tr>
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||||
<tr id="row_4_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d15/classcll.html" target="_self">cll</a></td><td class="desc"></td></tr>
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||||
<tr id="row_5_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="d1/db3/structcompare.html" target="_self">compare</a></td><td class="desc"></td></tr>
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||||
<tr id="row_6_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="d3/dbb/class_cycle_check.html" target="_self">CycleCheck</a></td><td class="desc"></td></tr>
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||||
<tr id="row_7_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="d9/dee/classdouble__linked__list.html" target="_self">double_linked_list</a></td><td class="desc"></td></tr>
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||||
<tr id="row_8_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="d7/d77/class_edge.html" target="_self">Edge</a></td><td class="desc"></td></tr>
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||||
<tr id="row_9_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="dd/d3b/struct_entry.html" target="_self">Entry</a></td><td class="desc"></td></tr>
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||||
<tr id="row_10_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="dd/d9b/classgraph.html" target="_self">graph</a></td><td class="desc"></td></tr>
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||||
<tr id="row_11_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="da/d9a/class_graph.html" target="_self">Graph</a></td><td class="desc"></td></tr>
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||||
<tr id="row_12_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="db/d66/struct_item.html" target="_self">Item</a></td><td class="desc"></td></tr>
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<tr id="row_13_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="db/d82/classlarge__number.html" target="_self">large_number</a></td><td class="desc"></td></tr>
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||||
<tr id="row_14_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="dd/df4/structlca.html" target="_self">lca</a></td><td class="desc"></td></tr>
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||||
<tr id="row_15_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="d0/dff/structlinkedlist.html" target="_self">linkedlist</a></td><td class="desc"></td></tr>
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<tr id="row_16_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/d10/structlist.html" target="_self">list</a></td><td class="desc"></td></tr>
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<tr id="row_17_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/d05/class_min_heap.html" target="_self">MinHeap</a></td><td class="desc"></td></tr>
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<tr id="row_18_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d29/struct_min_heap_node.html" target="_self">MinHeapNode</a></td><td class="desc"></td></tr>
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<tr id="row_19_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="d1/d77/structmst.html" target="_self">mst</a></td><td class="desc"></td></tr>
|
||||
<tr id="row_20_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="db/d8b/struct_node.html" target="_self">Node</a></td><td class="desc"></td></tr>
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<tr id="row_21_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/da1/structnode.html" target="_self">node</a></td><td class="desc"></td></tr>
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||||
<tr id="row_22_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/dc8/struct_point.html" target="_self">Point</a></td><td class="desc"></td></tr>
|
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<tr id="row_23_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="dd/d1b/structquery.html" target="_self">query</a></td><td class="desc"></td></tr>
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<tr id="row_24_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/d36/structqueue.html" target="_self">queue</a></td><td class="desc"></td></tr>
|
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<tr id="row_25_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="d4/da4/class_queue.html" target="_self">Queue</a></td><td class="desc"></td></tr>
|
||||
<tr id="row_26_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="d0/dd2/class_queue___array.html" target="_self">Queue_Array</a></td><td class="desc"></td></tr>
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<tr id="row_27_" class="even"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="d4/db4/struct_segment_intersection.html" target="_self">SegmentIntersection</a></td><td class="desc"></td></tr>
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<tr id="row_28_"><td class="entry"><span style="width:16px;display:inline-block;"> </span><span class="icona"><span class="icon">C</span></span><a class="el" href="dd/d4f/class_solution.html" target="_self">Solution</a></td><td class="desc"></td></tr>
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<p>Get centre and radius of the <a href="https://en.wikipedia.org/wiki/Smallest-circle_problem">smallest circle</a> that circumscribes given set of points.
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||||
<div class="textblock"><code>#include <cmath></code><br />
|
||||
<code>#include <iostream></code><br />
|
||||
<code>#include <vector></code><br />
|
||||
</div><div class="textblock"><div class="dynheader">
|
||||
Include dependency graph for smallest_circle.cpp:</div>
|
||||
<div class="dyncontent">
|
||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d0/db7/smallest__circle_8cpp__incl.svg" width="248" height="112"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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</div>
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</div>
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</div><table class="memberdecls">
|
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
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Classes</h2></td></tr>
|
||||
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/dc8/struct_point.html">Point</a></td></tr>
|
||||
<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
|
||||
</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
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||||
Functions</h2></td></tr>
|
||||
<tr class="memitem:a3cbebd6f4d2cdf227663c67fe41ba12a"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d0/d01/smallest__circle_8cpp.html#a3cbebd6f4d2cdf227663c67fe41ba12a">LenghtLine</a> (const <a class="el" href="../../d8/dc8/struct_point.html">Point</a> &A, const <a class="el" href="../../d8/dc8/struct_point.html">Point</a> &B)</td></tr>
|
||||
<tr class="separator:a3cbebd6f4d2cdf227663c67fe41ba12a"><td class="memSeparator" colspan="2"> </td></tr>
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||||
<tr class="memitem:a94682a4a70d5906857ca09de5b9fb2cc"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d0/d01/smallest__circle_8cpp.html#a94682a4a70d5906857ca09de5b9fb2cc">TriangleArea</a> (const <a class="el" href="../../d8/dc8/struct_point.html">Point</a> &A, const <a class="el" href="../../d8/dc8/struct_point.html">Point</a> &B, const <a class="el" href="../../d8/dc8/struct_point.html">Point</a> &C)</td></tr>
|
||||
<tr class="separator:a94682a4a70d5906857ca09de5b9fb2cc"><td class="memSeparator" colspan="2"> </td></tr>
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||||
<tr class="memitem:aee6d48762c1dfb9f14627927f0c16fad"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d0/d01/smallest__circle_8cpp.html#aee6d48762c1dfb9f14627927f0c16fad">PointInCircle</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="el" href="../../d8/dc8/struct_point.html">Point</a> > &P, const <a class="el" href="../../d8/dc8/struct_point.html">Point</a> &Center, double R)</td></tr>
|
||||
<tr class="separator:aee6d48762c1dfb9f14627927f0c16fad"><td class="memSeparator" colspan="2"> </td></tr>
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||||
<tr class="memitem:a0b0676df8e4da7a08c7ccaecea344903"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d0/d01/smallest__circle_8cpp.html#a0b0676df8e4da7a08c7ccaecea344903">circle</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="el" href="../../d8/dc8/struct_point.html">Point</a> > &P)</td></tr>
|
||||
<tr class="separator:a0b0676df8e4da7a08c7ccaecea344903"><td class="memSeparator" colspan="2"> </td></tr>
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||||
<tr class="memitem:ae1a3968e7947464bee7714f6d43b7002"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d0/d01/smallest__circle_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test</a> ()</td></tr>
|
||||
<tr class="separator:ae1a3968e7947464bee7714f6d43b7002"><td class="memSeparator" colspan="2"> </td></tr>
|
||||
<tr class="memitem:a0283886819c7c140a023582b7269e2d0"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d0/d01/smallest__circle_8cpp.html#a0283886819c7c140a023582b7269e2d0">test2</a> ()</td></tr>
|
||||
<tr class="separator:a0283886819c7c140a023582b7269e2d0"><td class="memSeparator" colspan="2"> </td></tr>
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||||
<tr class="memitem:a6d0455dd5c30adda100e95f0423c786e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d0/d01/smallest__circle_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">test3</a> ()</td></tr>
|
||||
<tr class="separator:a6d0455dd5c30adda100e95f0423c786e"><td class="memSeparator" colspan="2"> </td></tr>
|
||||
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d0/d01/smallest__circle_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
|
||||
<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2"> </td></tr>
|
||||
</table>
|
||||
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
|
||||
<div class="textblock"><p>Get centre and radius of the <a href="https://en.wikipedia.org/wiki/Smallest-circle_problem">smallest circle</a> that circumscribes given set of points. </p>
|
||||
<dl class="section see"><dt>See also</dt><dd><a href="https://www.nayuki.io/page/smallest-enclosing-circle">other implementation</a> </dd></dl>
|
||||
</div><h2 class="groupheader">Function Documentation</h2>
|
||||
<a id="a0b0676df8e4da7a08c7ccaecea344903"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#a0b0676df8e4da7a08c7ccaecea344903">◆ </a></span>circle()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">double circle </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="el" href="../../d8/dc8/struct_point.html">Point</a> > & </td>
|
||||
<td class="paramname"><em>P</em></td><td>)</td>
|
||||
<td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
<p>Find the centre and radius of a circle enclosing a set of points.<br />
|
||||
The function returns the radius of the circle and prints the coordinated of the centre of the circle. </p><dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramdir">[in]</td><td class="paramname">P</td><td>vector of points </td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>radius of the circle </dd></dl>
|
||||
<div class="fragment"><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  {</div>
|
||||
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keywordtype">double</span> minR = INFINITY;</div>
|
||||
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keywordtype">double</span> R;</div>
|
||||
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <a class="code" href="../../d8/dc8/struct_point.html">Point</a> C;</div>
|
||||
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <a class="code" href="../../d8/dc8/struct_point.html">Point</a> minC;</div>
|
||||
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  </div>
|
||||
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="comment">/* This code is invalid and does not give correct result for TEST 3 */</span></div>
|
||||
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="comment">// for each point in the list</span></div>
|
||||
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < P.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>() - 2; i++)</div>
|
||||
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="comment">// for every subsequent point in the list</span></div>
|
||||
<div class="line"><a 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="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); j++)</div>
|
||||
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="comment">// for every subsequent point in the list</span></div>
|
||||
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a> = j + 1; <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a> < P.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>++) {</div>
|
||||
<div class="line"><a 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 name="l00101"></a><span class="lineno"> 101</span>  <span class="comment">// points that we can use</span></div>
|
||||
<div class="line"><a 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 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 name="l00104"></a><span class="lineno"> 104</span>  P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>].x * P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>].x - P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>].y * P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>].y) +</div>
|
||||
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  P[j].y * (P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>].x * P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>].x + P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>].y * P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>].y -</div>
|
||||
<div class="line"><a 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 name="l00107"></a><span class="lineno"> 107</span>  P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>].y * (P[i].x * P[i].x + P[i].y * P[i].y -</div>
|
||||
<div class="line"><a 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 name="l00109"></a><span class="lineno"> 109</span>  (P[i].x * (P[j].y - P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>].y) +</div>
|
||||
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  P[j].x * (P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>].y - P[i].y) +</div>
|
||||
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>].x * (P[i].y - P[j].y)));</div>
|
||||
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  C.<a class="code" 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 name="l00113"></a><span class="lineno"> 113</span>  P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>].x * P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>].x - P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>].y * P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>].y) +</div>
|
||||
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  P[j].x * (P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>].x * P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>].x + P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>].y * P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>].y -</div>
|
||||
<div class="line"><a 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 name="l00116"></a><span class="lineno"> 116</span>  P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>].x * (P[i].x * P[i].x + P[i].y * P[i].y -</div>
|
||||
<div class="line"><a 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 name="l00118"></a><span class="lineno"> 118</span>  (P[i].x * (P[j].y - P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>].y) +</div>
|
||||
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  P[j].x * (P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>].y - P[i].y) +</div>
|
||||
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>].x * (P[i].y - P[j].y)));</div>
|
||||
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  R = (<a class="code" href="../../d0/d01/smallest__circle_8cpp.html#a3cbebd6f4d2cdf227663c67fe41ba12a">LenghtLine</a>(P[i], P[j]) * <a class="code" href="../../d0/d01/smallest__circle_8cpp.html#a3cbebd6f4d2cdf227663c67fe41ba12a">LenghtLine</a>(P[j], P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>]) *</div>
|
||||
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <a class="code" href="../../d0/d01/smallest__circle_8cpp.html#a3cbebd6f4d2cdf227663c67fe41ba12a">LenghtLine</a>(P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>], P[i])) /</div>
|
||||
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  (4 * <a class="code" href="../../d0/d01/smallest__circle_8cpp.html#a94682a4a70d5906857ca09de5b9fb2cc">TriangleArea</a>(P[i], P[j], P[<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>]));</div>
|
||||
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keywordflow">if</span> (!<a class="code" href="../../d0/d01/smallest__circle_8cpp.html#aee6d48762c1dfb9f14627927f0c16fad">PointInCircle</a>(P, C, R)) {</div>
|
||||
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keywordflow">continue</span>;</div>
|
||||
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  }</div>
|
||||
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keywordflow">if</span> (R <= minR) {</div>
|
||||
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  minR = R;</div>
|
||||
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  minC = C;</div>
|
||||
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  }</div>
|
||||
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  }</div>
|
||||
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  </div>
|
||||
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="comment">// for each point in the list</span></div>
|
||||
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < P.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>() - 1; i++)</div>
|
||||
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="comment">// for every subsequent point in the list</span></div>
|
||||
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = i + 1; j < P.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); j++) {</div>
|
||||
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="comment">// check for diameterically opposite points</span></div>
|
||||
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  C.x = (P[i].x + P[j].x) / 2;</div>
|
||||
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  C.<a class="code" href="../../d8/dc8/struct_point.html#a2e1b5fb2b2a83571f5c0bc0f66a73cf7">y</a> = (P[i].y + P[j].y) / 2;</div>
|
||||
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  R = <a class="code" href="../../d0/d01/smallest__circle_8cpp.html#a3cbebd6f4d2cdf227663c67fe41ba12a">LenghtLine</a>(C, P[i]);</div>
|
||||
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="keywordflow">if</span> (!<a class="code" href="../../d0/d01/smallest__circle_8cpp.html#aee6d48762c1dfb9f14627927f0c16fad">PointInCircle</a>(P, C, R)) {</div>
|
||||
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keywordflow">continue</span>;</div>
|
||||
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  }</div>
|
||||
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="keywordflow">if</span> (R <= minR) {</div>
|
||||
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  minR = R;</div>
|
||||
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  minC = C;</div>
|
||||
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  }</div>
|
||||
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  }</div>
|
||||
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << minC.x << <span class="stringliteral">" "</span> << minC.<a class="code" href="../../d8/dc8/struct_point.html#a2e1b5fb2b2a83571f5c0bc0f66a73cf7">y</a> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="keywordflow">return</span> minR;</div>
|
||||
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> }</div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
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||||
<div class="dyncontent">
|
||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d0/d01/smallest__circle_8cpp_a0b0676df8e4da7a08c7ccaecea344903_cgraph.svg" width="492" height="218"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<a id="a3cbebd6f4d2cdf227663c67fe41ba12a"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#a3cbebd6f4d2cdf227663c67fe41ba12a">◆ </a></span>LenghtLine()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">double LenghtLine </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">const <a class="el" href="../../d8/dc8/struct_point.html">Point</a> & </td>
|
||||
<td class="paramname"><em>A</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">const <a class="el" href="../../d8/dc8/struct_point.html">Point</a> & </td>
|
||||
<td class="paramname"><em>B</em> </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td></td>
|
||||
<td>)</td>
|
||||
<td></td><td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
<p>Compute the Euclidian distance between two points \(A\equiv(x_1,y_1)\) and \(B\equiv(x_2,y_2)\) using the formula: </p><p class="formulaDsp">
|
||||
\[d=\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2}\]
|
||||
</p>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramdir">[in]</td><td class="paramname">A</td><td>point A </td></tr>
|
||||
<tr><td class="paramdir">[in]</td><td class="paramname">B</td><td>point B </td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>ditance </dd></dl>
|
||||
<div class="fragment"><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  {</div>
|
||||
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keywordtype">double</span> dx = B.x - A.x;</div>
|
||||
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="keywordtype">double</span> dy = B.<a class="code" href="../../d8/dc8/struct_point.html#a2e1b5fb2b2a83571f5c0bc0f66a73cf7">y</a> - A.<a class="code" href="../../d8/dc8/struct_point.html#a2e1b5fb2b2a83571f5c0bc0f66a73cf7">y</a>;</div>
|
||||
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="keywordflow">return</span> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/sqrt.html">std::sqrt</a>((dx * dx) + (dy * dy));</div>
|
||||
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> }</div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
<div class="dyncontent">
|
||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d0/d01/smallest__circle_8cpp_a3cbebd6f4d2cdf227663c67fe41ba12a_cgraph.svg" width="215" height="38"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">int main </td>
|
||||
<td>(</td>
|
||||
<td class="paramname"></td><td>)</td>
|
||||
<td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
<p>Main program </p>
|
||||
<div class="fragment"><div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  {</div>
|
||||
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <a class="code" href="../../d0/d01/smallest__circle_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test</a>();</div>
|
||||
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <a class="code" href="../../d0/d01/smallest__circle_8cpp.html#a0283886819c7c140a023582b7269e2d0">test2</a>();</div>
|
||||
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <a class="code" href="../../d0/d01/smallest__circle_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">test3</a>();</div>
|
||||
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="keywordflow">return</span> 0;</div>
|
||||
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span> }</div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
<div class="dyncontent">
|
||||
<div class="center"><div class="zoom"><iframe scrolling="no" frameborder="0" src="../../d0/d01/smallest__circle_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width="100%" height="532"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<a id="aee6d48762c1dfb9f14627927f0c16fad"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#aee6d48762c1dfb9f14627927f0c16fad">◆ </a></span>PointInCircle()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">bool PointInCircle </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="el" href="../../d8/dc8/struct_point.html">Point</a> > & </td>
|
||||
<td class="paramname"><em>P</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">const <a class="el" href="../../d8/dc8/struct_point.html">Point</a> & </td>
|
||||
<td class="paramname"><em>Center</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">double </td>
|
||||
<td class="paramname"><em>R</em> </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td></td>
|
||||
<td>)</td>
|
||||
<td></td><td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
<p>Check if a set of points lie within given circle. This is true if the distance of all the points from the centre of the circle is less than the radius of the circle </p><dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramdir">[in]</td><td class="paramname">P</td><td>set of points to check </td></tr>
|
||||
<tr><td class="paramdir">[in]</td><td class="paramname">Center</td><td>coordinates to centre of the circle </td></tr>
|
||||
<tr><td class="paramdir">[in]</td><td class="paramname">R</td><td>radius of the circle </td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>True if P lies on or within the circle </dd>
|
||||
<dd>
|
||||
False if P lies outside the circle </dd></dl>
|
||||
<div class="fragment"><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  {</div>
|
||||
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < P.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); i++) {</div>
|
||||
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keywordflow">if</span> (<a class="code" href="../../d0/d01/smallest__circle_8cpp.html#a3cbebd6f4d2cdf227663c67fe41ba12a">LenghtLine</a>(P[i], Center) > R)</div>
|
||||
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
|
||||
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  }</div>
|
||||
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
|
||||
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> }</div>
|
||||
</div><!-- fragment --><div class="dynheader">
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||||
Here is the call graph for this function:</div>
|
||||
<div class="dyncontent">
|
||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d0/d01/smallest__circle_8cpp_aee6d48762c1dfb9f14627927f0c16fad_cgraph.svg" width="391" height="88"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<a id="ae1a3968e7947464bee7714f6d43b7002"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#ae1a3968e7947464bee7714f6d43b7002">◆ </a></span>test()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">void test </td>
|
||||
<td>(</td>
|
||||
<td class="paramname"></td><td>)</td>
|
||||
<td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
<p>Test case: result should be: <br />
|
||||
Circle with <br />
|
||||
radius 3.318493136080724 <br />
|
||||
centre at (3.0454545454545454, 1.3181818181818181) </p>
|
||||
<div class="fragment"><div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  {</div>
|
||||
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<Point></a> Pv;</div>
|
||||
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  Pv.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(<a class="code" href="../../d8/dc8/struct_point.html">Point</a>(0, 0));</div>
|
||||
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  Pv.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(<a class="code" href="../../d8/dc8/struct_point.html">Point</a>(5, 4));</div>
|
||||
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  Pv.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(<a class="code" href="../../d8/dc8/struct_point.html">Point</a>(1, 3));</div>
|
||||
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  Pv.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(<a class="code" href="../../d8/dc8/struct_point.html">Point</a>(4, 1));</div>
|
||||
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  Pv.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(<a class="code" href="../../d8/dc8/struct_point.html">Point</a>(3, -2));</div>
|
||||
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <a class="code" href="../../d0/d01/smallest__circle_8cpp.html#a0b0676df8e4da7a08c7ccaecea344903">circle</a>(Pv) << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> }</div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
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||||
<div class="dyncontent">
|
||||
<div class="center"><div class="zoom"><iframe scrolling="no" frameborder="0" src="../../d0/d01/smallest__circle_8cpp_ae1a3968e7947464bee7714f6d43b7002_cgraph.svg" width="100%" height="466"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<a id="a0283886819c7c140a023582b7269e2d0"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#a0283886819c7c140a023582b7269e2d0">◆ </a></span>test2()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">void test2 </td>
|
||||
<td>(</td>
|
||||
<td class="paramname"></td><td>)</td>
|
||||
<td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
<p>Test case: result should be: <br />
|
||||
Circle with <br />
|
||||
radius 1.4142135623730951 <br />
|
||||
centre at (1.0, 1.0) </p>
|
||||
<div class="fragment"><div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  {</div>
|
||||
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<Point></a> Pv;</div>
|
||||
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  Pv.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(<a class="code" href="../../d8/dc8/struct_point.html">Point</a>(0, 0));</div>
|
||||
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  Pv.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(<a class="code" href="../../d8/dc8/struct_point.html">Point</a>(0, 2));</div>
|
||||
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  Pv.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(<a class="code" href="../../d8/dc8/struct_point.html">Point</a>(2, 2));</div>
|
||||
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  Pv.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(<a class="code" href="../../d8/dc8/struct_point.html">Point</a>(2, 0));</div>
|
||||
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <a class="code" href="../../d0/d01/smallest__circle_8cpp.html#a0b0676df8e4da7a08c7ccaecea344903">circle</a>(Pv) << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span> }</div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
<div class="dyncontent">
|
||||
<div class="center"><div class="zoom"><iframe scrolling="no" frameborder="0" src="../../d0/d01/smallest__circle_8cpp_a0283886819c7c140a023582b7269e2d0_cgraph.svg" width="100%" height="466"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<a id="a6d0455dd5c30adda100e95f0423c786e"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#a6d0455dd5c30adda100e95f0423c786e">◆ </a></span>test3()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">void test3 </td>
|
||||
<td>(</td>
|
||||
<td class="paramname"></td><td>)</td>
|
||||
<td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
<p>Test case: result should be: <br />
|
||||
Circle with <br />
|
||||
radius 1.821078397711709 <br />
|
||||
centre at (2.142857142857143, 1.7857142857142856) </p><dl class="todo"><dt><b><a class="el" href="../../dd/da0/todo.html#_todo000006">Todo:</a></b></dt><dd>This test fails </dd></dl>
|
||||
<div class="fragment"><div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  {</div>
|
||||
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<Point></a> Pv;</div>
|
||||
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  Pv.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(<a class="code" href="../../d8/dc8/struct_point.html">Point</a>(0.5, 1));</div>
|
||||
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  Pv.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(<a class="code" href="../../d8/dc8/struct_point.html">Point</a>(3.5, 3));</div>
|
||||
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  Pv.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(<a class="code" href="../../d8/dc8/struct_point.html">Point</a>(2.5, 0));</div>
|
||||
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  Pv.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(<a class="code" href="../../d8/dc8/struct_point.html">Point</a>(2, 1.5));</div>
|
||||
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <a class="code" href="../../d0/d01/smallest__circle_8cpp.html#a0b0676df8e4da7a08c7ccaecea344903">circle</a>(Pv) << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span> }</div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
<div class="dyncontent">
|
||||
<div class="center"><div class="zoom"><iframe scrolling="no" frameborder="0" src="../../d0/d01/smallest__circle_8cpp_a6d0455dd5c30adda100e95f0423c786e_cgraph.svg" width="100%" height="466"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<a id="a94682a4a70d5906857ca09de5b9fb2cc"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#a94682a4a70d5906857ca09de5b9fb2cc">◆ </a></span>TriangleArea()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">double TriangleArea </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">const <a class="el" href="../../d8/dc8/struct_point.html">Point</a> & </td>
|
||||
<td class="paramname"><em>A</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">const <a class="el" href="../../d8/dc8/struct_point.html">Point</a> & </td>
|
||||
<td class="paramname"><em>B</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">const <a class="el" href="../../d8/dc8/struct_point.html">Point</a> & </td>
|
||||
<td class="paramname"><em>C</em> </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td></td>
|
||||
<td>)</td>
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<td></td><td></td>
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</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
<p>Compute the area of triangle formed by three points using <a href="https://en.wikipedia.org/wiki/Heron%27s_formula">Heron's formula</a>. If the lengths of the sides of the triangle are \(a,\,b,\,c\) and \(s=\displaystyle\frac{a+b+c}{2}\) is the semi-perimeter then the area is given by </p><p class="formulaDsp">
|
||||
\[A=\sqrt{s(s-a)(s-b)(s-c)}\]
|
||||
</p>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramdir">[in]</td><td class="paramname">A</td><td>vertex A </td></tr>
|
||||
<tr><td class="paramdir">[in]</td><td class="paramname">B</td><td>vertex B </td></tr>
|
||||
<tr><td class="paramdir">[in]</td><td class="paramname">C</td><td>vertex C </td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>area of triangle </dd></dl>
|
||||
<div class="fragment"><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  {</div>
|
||||
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordtype">double</span> <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a> = <a class="code" href="../../d0/d01/smallest__circle_8cpp.html#a3cbebd6f4d2cdf227663c67fe41ba12a">LenghtLine</a>(A, B);</div>
|
||||
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keywordtype">double</span> b = <a class="code" href="../../d0/d01/smallest__circle_8cpp.html#a3cbebd6f4d2cdf227663c67fe41ba12a">LenghtLine</a>(B, C);</div>
|
||||
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keywordtype">double</span> c = <a class="code" href="../../d0/d01/smallest__circle_8cpp.html#a3cbebd6f4d2cdf227663c67fe41ba12a">LenghtLine</a>(C, A);</div>
|
||||
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keywordtype">double</span> p = (<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a> + b + c) / 2;</div>
|
||||
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordflow">return</span> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/sqrt.html">std::sqrt</a>(p * (p - <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a>) * (p - b) * (p - c));</div>
|
||||
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> }</div>
|
||||
</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d0/d01/smallest__circle_8cpp_a94682a4a70d5906857ca09de5b9fb2cc_cgraph.svg" width="358" height="38"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<div class="ttc" id="asmallest__circle_8cpp_html_a6d0455dd5c30adda100e95f0423c786e"><div class="ttname"><a href="../../d0/d01/smallest__circle_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">test3</a></div><div class="ttdeci">void test3()</div><div class="ttdef"><b>Definition:</b> smallest_circle.cpp:188</div></div>
|
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<div class="ttc" id="asmallest__circle_8cpp_html_a0283886819c7c140a023582b7269e2d0"><div class="ttname"><a href="../../d0/d01/smallest__circle_8cpp.html#a0283886819c7c140a023582b7269e2d0">test2</a></div><div class="ttdeci">void test2()</div><div class="ttdef"><b>Definition:</b> smallest_circle.cpp:173</div></div>
|
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<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div><div class="ttdoc">STL class.</div></div>
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|
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<div class="ttc" id="asqrt_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/sqrt.html">std::sqrt</a></div><div class="ttdeci">T sqrt(T... args)</div></div>
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<div class="ttc" id="apush_back_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">std::vector::push_back</a></div><div class="ttdeci">T push_back(T... args)</div></div>
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|
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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="amatrix__exponentiation_8cpp_html_afcf0d19607cd0edd8ae333d2b9c220c0"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a></div><div class="ttdeci">ll k</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:48</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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<div class="ttc" id="asmallest__circle_8cpp_html_a0b0676df8e4da7a08c7ccaecea344903"><div class="ttname"><a href="../../d0/d01/smallest__circle_8cpp.html#a0b0676df8e4da7a08c7ccaecea344903">circle</a></div><div class="ttdeci">double circle(const std::vector< Point > &P)</div><div class="ttdef"><b>Definition:</b> smallest_circle.cpp:87</div></div>
|
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<div class="ttc" id="amatrix__exponentiation_8cpp_html_a9ecd98ce0064e2f7f97bb6a92f58ee72"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a></div><div class="ttdeci">vector< ll > a</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:53</div></div>
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<div class="ttc" id="astruct_point_html"><div class="ttname"><a href="../../d8/dc8/struct_point.html">Point</a></div><div class="ttdef"><b>Definition:</b> line_segment_intersection.cpp:12</div></div>
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<p>Compute statistics for data entered in rreal-time.
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<p>This algorithm is really beneficial to compute statistics on data read in realtime. For example, devices reading biometrics data. The algorithm is simple enough to be easily implemented in an embedded system. </p><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/kvedala">Krishna Vedala</a> </dd></dl>
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|
||||
<div class="fragment"><div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  {</div>
|
||||
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="keyword">const</span> <span class="keywordtype">float</span> test_data1[] = {3, 4, 5, -1.4, -3.6, 1.9, 1.};</div>
|
||||
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <a class="code" href="../../d0/d08/realtime__stats_8cpp.html#aa54c915581fcc495489175a4386d59fd">test_function</a>(test_data1, <span class="keyword">sizeof</span>(test_data1) / <span class="keyword">sizeof</span>(test_data1[0]));</div>
|
||||
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  </div>
|
||||
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div>
|
||||
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  << <span class="stringliteral">"Enter data. Any non-numeric data will terminate the data input."</span></div>
|
||||
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  </div>
|
||||
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <a class="code" href="../../d7/d7c/classstatistics_1_1stats__computer1.html">stats_computer1<float></a> stats1;</div>
|
||||
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <a class="code" href="../../d8/dab/classstatistics_1_1stats__computer2.html">stats_computer2<float></a> stats2;</div>
|
||||
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  </div>
|
||||
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <span class="keywordflow">while</span> (1) {</div>
|
||||
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="keywordtype">double</span> val;</div>
|
||||
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Enter number: "</span>;</div>
|
||||
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> >> val;</div>
|
||||
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  </div>
|
||||
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="comment">// check for failure to read input. Happens for</span></div>
|
||||
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="comment">// non-numeric data</span></div>
|
||||
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="keywordflow">if</span> (<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a>.fail())</div>
|
||||
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="keywordflow">break</span>;</div>
|
||||
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  </div>
|
||||
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  stats1.<a class="code" href="../../d7/d7c/classstatistics_1_1stats__computer1.html#aa13bf7c38de112f71921a5525d71a2f2">new_val</a>(val);</div>
|
||||
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  stats2.<a class="code" href="../../d8/dab/classstatistics_1_1stats__computer2.html#ade6de704deea24fdc88077b3d9a0d534">new_val</a>(val);</div>
|
||||
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  </div>
|
||||
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\tMethod 1:"</span></div>
|
||||
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  << <span class="stringliteral">"\tMean: "</span> << stats1.<a class="code" href="../../d7/d7c/classstatistics_1_1stats__computer1.html#a390697dcee210b91823ceff04b25081b">mean</a>()</div>
|
||||
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  << <span class="stringliteral">"\t Variance: "</span> << stats1.<a class="code" href="../../d7/d7c/classstatistics_1_1stats__computer1.html#a27f0a03e2fd2254f1c81fe668226bd92">variance</a>()</div>
|
||||
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  << <span class="stringliteral">"\t Std: "</span> << stats1.<a class="code" href="../../d7/d7c/classstatistics_1_1stats__computer1.html#af57e942d49f4fd70f059f224b4ac07e1">std</a>() << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\tMethod 2:"</span></div>
|
||||
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  << <span class="stringliteral">"\tMean: "</span> << stats2.<a class="code" href="../../d8/dab/classstatistics_1_1stats__computer2.html#a8290966ad468f2a8c266d008bc60720e">mean</a>()</div>
|
||||
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  << <span class="stringliteral">"\t Variance: "</span> << stats2.<a class="code" href="../../d8/dab/classstatistics_1_1stats__computer2.html#af6198817084276113b3c064e87ce0555">variance</a>()</div>
|
||||
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  << <span class="stringliteral">"\t Std: "</span> << stats2.<a class="code" href="../../d8/dab/classstatistics_1_1stats__computer2.html#acf2e84df4fc386bb3295016ef8fd156e">std</a>() << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  }</div>
|
||||
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  </div>
|
||||
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <span class="keywordflow">return</span> 0;</div>
|
||||
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span> }</div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
<div class="dyncontent">
|
||||
<div class="center"><div class="zoom"><iframe scrolling="no" frameborder="0" src="../../d0/d08/realtime__stats_8cpp_a3c04138a5bfe5d72780bb7e82a18e627_cgraph.svg" width="100%" height="600"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<a id="aa54c915581fcc495489175a4386d59fd"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#aa54c915581fcc495489175a4386d59fd">◆ </a></span>test_function()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">void test_function </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">const float * </td>
|
||||
<td class="paramname"><em>test_data</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">const int </td>
|
||||
<td class="paramname"><em>number_of_samples</em> </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td></td>
|
||||
<td>)</td>
|
||||
<td></td><td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
<p>Test the algorithm implementation </p><dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramdir">[in]</td><td class="paramname">test_data</td><td>array of data to test the algorithms </td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<div class="fragment"><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  {</div>
|
||||
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordtype">float</span> mean = 0.f, variance = 0.f;</div>
|
||||
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  </div>
|
||||
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <a class="code" href="../../d7/d7c/classstatistics_1_1stats__computer1.html">stats_computer1<float></a> stats01;</div>
|
||||
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <a class="code" href="../../d8/dab/classstatistics_1_1stats__computer2.html">stats_computer2<float></a> stats02;</div>
|
||||
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  </div>
|
||||
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < number_of_samples; i++) {</div>
|
||||
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  stats01.<a class="code" href="../../d7/d7c/classstatistics_1_1stats__computer1.html#aa13bf7c38de112f71921a5525d71a2f2">new_val</a>(test_data[i]);</div>
|
||||
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  stats02.<a class="code" href="../../d8/dab/classstatistics_1_1stats__computer2.html#ade6de704deea24fdc88077b3d9a0d534">new_val</a>(test_data[i]);</div>
|
||||
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  mean += test_data[i];</div>
|
||||
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  }</div>
|
||||
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  </div>
|
||||
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  mean /= number_of_samples;</div>
|
||||
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  </div>
|
||||
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < number_of_samples; i++) {</div>
|
||||
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="keywordtype">float</span> temp = test_data[i] - mean;</div>
|
||||
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  variance += temp * temp;</div>
|
||||
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  }</div>
|
||||
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  variance /= number_of_samples;</div>
|
||||
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  </div>
|
||||
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"<<<<<<<< Test Function >>>>>>>>"</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div>
|
||||
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  << <span class="stringliteral">"Expected: Mean: "</span> << mean << <span class="stringliteral">"\t Variance: "</span> << variance</div>
|
||||
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\tMethod 1:"</span></div>
|
||||
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  << <span class="stringliteral">"\tMean: "</span> << stats01.<a class="code" href="../../d7/d7c/classstatistics_1_1stats__computer1.html#a390697dcee210b91823ceff04b25081b">mean</a>()</div>
|
||||
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  << <span class="stringliteral">"\t Variance: "</span> << stats01.<a class="code" href="../../d7/d7c/classstatistics_1_1stats__computer1.html#a27f0a03e2fd2254f1c81fe668226bd92">variance</a>()</div>
|
||||
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  << <span class="stringliteral">"\t Std: "</span> << stats01.<a class="code" href="../../d7/d7c/classstatistics_1_1stats__computer1.html#af57e942d49f4fd70f059f224b4ac07e1">std</a>() << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\tMethod 2:"</span></div>
|
||||
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  << <span class="stringliteral">"\tMean: "</span> << stats02.<a class="code" href="../../d8/dab/classstatistics_1_1stats__computer2.html#a8290966ad468f2a8c266d008bc60720e">mean</a>()</div>
|
||||
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  << <span class="stringliteral">"\t Variance: "</span> << stats02.<a class="code" href="../../d8/dab/classstatistics_1_1stats__computer2.html#af6198817084276113b3c064e87ce0555">variance</a>()</div>
|
||||
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  << <span class="stringliteral">"\t Std: "</span> << stats02.<a class="code" href="../../d8/dab/classstatistics_1_1stats__computer2.html#acf2e84df4fc386bb3295016ef8fd156e">std</a>() << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  </div>
|
||||
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  assert(std::abs(stats01.<a class="code" href="../../d7/d7c/classstatistics_1_1stats__computer1.html#a390697dcee210b91823ceff04b25081b">mean</a>() - mean) < 0.01);</div>
|
||||
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  assert(std::abs(stats02.<a class="code" href="../../d8/dab/classstatistics_1_1stats__computer2.html#a8290966ad468f2a8c266d008bc60720e">mean</a>() - mean) < 0.01);</div>
|
||||
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  assert(std::abs(stats02.<a class="code" href="../../d8/dab/classstatistics_1_1stats__computer2.html#af6198817084276113b3c064e87ce0555">variance</a>() - variance) < 0.01);</div>
|
||||
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  </div>
|
||||
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"(Tests passed)"</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span> }</div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
<div class="dyncontent">
|
||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d0/d08/realtime__stats_8cpp_aa54c915581fcc495489175a4386d59fd_cgraph.svg" width="591" height="503"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
</div><!-- contents -->
|
||||
</div><!-- doc-content -->
|
||||
<div class="ttc" id="aclassstatistics_1_1stats__computer1_html_af57e942d49f4fd70f059f224b4ac07e1"><div class="ttname"><a href="../../d7/d7c/classstatistics_1_1stats__computer1.html#af57e942d49f4fd70f059f224b4ac07e1">statistics::stats_computer1::std</a></div><div class="ttdeci">double std() const</div><div class="ttdef"><b>Definition:</b> realtime_stats.cpp:48</div></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="aclassstatistics_1_1stats__computer2_html_af6198817084276113b3c064e87ce0555"><div class="ttname"><a href="../../d8/dab/classstatistics_1_1stats__computer2.html#af6198817084276113b3c064e87ce0555">statistics::stats_computer2::variance</a></div><div class="ttdeci">double variance() const</div><div class="ttdef"><b>Definition:</b> realtime_stats.cpp:89</div></div>
|
||||
<div class="ttc" id="aclassstatistics_1_1stats__computer1_html_a390697dcee210b91823ceff04b25081b"><div class="ttname"><a href="../../d7/d7c/classstatistics_1_1stats__computer1.html#a390697dcee210b91823ceff04b25081b">statistics::stats_computer1::mean</a></div><div class="ttdeci">double mean() const</div><div class="ttdef"><b>Definition:</b> realtime_stats.cpp:42</div></div>
|
||||
<div class="ttc" id="aclassstatistics_1_1stats__computer2_html"><div class="ttname"><a href="../../d8/dab/classstatistics_1_1stats__computer2.html">statistics::stats_computer2</a></div><div class="ttdef"><b>Definition:</b> realtime_stats.cpp:72</div></div>
|
||||
<div class="ttc" id="arealtime__stats_8cpp_html_aa54c915581fcc495489175a4386d59fd"><div class="ttname"><a href="../../d0/d08/realtime__stats_8cpp.html#aa54c915581fcc495489175a4386d59fd">test_function</a></div><div class="ttdeci">void test_function(const float *test_data, const int number_of_samples)</div><div class="ttdef"><b>Definition:</b> realtime_stats.cpp:118</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="aclassstatistics_1_1stats__computer1_html_aa13bf7c38de112f71921a5525d71a2f2"><div class="ttname"><a href="../../d7/d7c/classstatistics_1_1stats__computer1.html#aa13bf7c38de112f71921a5525d71a2f2">statistics::stats_computer1::new_val</a></div><div class="ttdeci">void new_val(T x)</div><div class="ttdef"><b>Definition:</b> realtime_stats.cpp:32</div></div>
|
||||
<div class="ttc" id="aclassstatistics_1_1stats__computer2_html_ade6de704deea24fdc88077b3d9a0d534"><div class="ttname"><a href="../../d8/dab/classstatistics_1_1stats__computer2.html#ade6de704deea24fdc88077b3d9a0d534">statistics::stats_computer2::new_val</a></div><div class="ttdeci">void new_val(T x)</div><div class="ttdef"><b>Definition:</b> realtime_stats.cpp:77</div></div>
|
||||
<div class="ttc" id="aclassstatistics_1_1stats__computer1_html_a27f0a03e2fd2254f1c81fe668226bd92"><div class="ttname"><a href="../../d7/d7c/classstatistics_1_1stats__computer1.html#a27f0a03e2fd2254f1c81fe668226bd92">statistics::stats_computer1::variance</a></div><div class="ttdeci">double variance() const</div><div class="ttdef"><b>Definition:</b> realtime_stats.cpp:45</div></div>
|
||||
<div class="ttc" id="aclassstatistics_1_1stats__computer1_html"><div class="ttname"><a href="../../d7/d7c/classstatistics_1_1stats__computer1.html">statistics::stats_computer1</a></div><div class="ttdef"><b>Definition:</b> realtime_stats.cpp:27</div></div>
|
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<tr bgcolor="#f0f0f0" class="even"><td class="entry"><b>Ex</b> (defined in <a class="el" href="../../d7/d7c/classstatistics_1_1stats__computer1.html">statistics::stats_computer1< T ></a>)</td><td class="entry"><a class="el" href="../../d7/d7c/classstatistics_1_1stats__computer1.html">statistics::stats_computer1< T ></a></td><td class="entry"><span class="mlabel">private</span></td></tr>
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<tr bgcolor="#f0f0f0" class="even"><td class="entry"><b>K</b> (defined in <a class="el" href="../../d7/d7c/classstatistics_1_1stats__computer1.html">statistics::stats_computer1< T ></a>)</td><td class="entry"><a class="el" href="../../d7/d7c/classstatistics_1_1stats__computer1.html">statistics::stats_computer1< T ></a></td><td class="entry"><span class="mlabel">private</span></td></tr>
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<tr><td class="entry"><a class="el" href="../../d7/d7c/classstatistics_1_1stats__computer1.html#a390697dcee210b91823ceff04b25081b">mean</a>() const</td><td class="entry"><a class="el" href="../../d7/d7c/classstatistics_1_1stats__computer1.html">statistics::stats_computer1< T ></a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
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<tr bgcolor="#f0f0f0" class="even"><td class="entry"><b>n</b> (defined in <a class="el" href="../../d7/d7c/classstatistics_1_1stats__computer1.html">statistics::stats_computer1< T ></a>)</td><td class="entry"><a class="el" href="../../d7/d7c/classstatistics_1_1stats__computer1.html">statistics::stats_computer1< T ></a></td><td class="entry"><span class="mlabel">private</span></td></tr>
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<tr><td class="entry"><a class="el" href="../../d7/d7c/classstatistics_1_1stats__computer1.html#aa13bf7c38de112f71921a5525d71a2f2">new_val</a>(T x)</td><td class="entry"><a class="el" href="../../d7/d7c/classstatistics_1_1stats__computer1.html">statistics::stats_computer1< T ></a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
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<tr class="even"><td class="entry"><a class="el" href="../../d7/d7c/classstatistics_1_1stats__computer1.html#ab5b4bfecdf391cae7edb1fe98548b846">operator>></a>(std::istream &input, stats_computer1 &stat)</td><td class="entry"><a class="el" href="../../d7/d7c/classstatistics_1_1stats__computer1.html">statistics::stats_computer1< T ></a></td><td class="entry"><span class="mlabel">friend</span></td></tr>
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<tr class="even"><td class="entry"><a class="el" href="../../d7/d7c/classstatistics_1_1stats__computer1.html#a27f0a03e2fd2254f1c81fe668226bd92">variance</a>() const</td><td class="entry"><a class="el" href="../../d7/d7c/classstatistics_1_1stats__computer1.html">statistics::stats_computer1< T ></a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
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<p>C++ Program to calculate number of divisors.
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <iostream></code><br />
|
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<code>#include <vector></code><br />
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Include dependency graph for number_of_positive_divisors.cpp:</div>
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Functions</h2></td></tr>
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<tr class="memitem:ad89ccced8504b5116046cfa03066ffeb"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d0/da2/number__of__positive__divisors_8cpp.html#ad89ccced8504b5116046cfa03066ffeb">number_of_positive_divisors</a> (int n)</td></tr>
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<tr class="separator:ad89ccced8504b5116046cfa03066ffeb"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d0/da2/number__of__positive__divisors_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
|
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<div class="textblock"><p>C++ Program to calculate number of divisors. </p>
|
||||
<p>This algorithm use the prime factorization approach. Any number can be written in multiplication of its prime factors. <br />
|
||||
Let N = P1^E1 * P2^E2 ... Pk^Ek <br />
|
||||
Therefore. number-of-divisors(N) = (E1+1) * (E2+1) ... (Ek+1). <br />
|
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Where P1, P2 ... Pk are prime factors and E1, E2 ... Ek are exponents respectively.</p>
|
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<p>Example:- <br />
|
||||
N = 36 <br />
|
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36 = (3^2 * 2^2) <br />
|
||||
number_of_positive_divisors(36) = (2+1) * (2+1) = 9. <br />
|
||||
list of positive divisors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36.</p>
|
||||
<p>Similarly if N is -36 at that time number of positive divisors remain same.</p>
|
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<p>Example:- <br />
|
||||
N = -36 <br />
|
||||
-36 = -1 * (3^2 * 2^2) <br />
|
||||
number_of_positive_divisors(-36) = (2+1) * (2+1) = 9. <br />
|
||||
list of positive divisors of -36 = 1, 2, 3, 4, 6, 9, 12, 18, 36. </p>
|
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</div><h2 class="groupheader">Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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<td class="memname">int main </td>
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<p>Main function </p>
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<div class="fragment"><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  {</div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keywordtype">int</span> n;</div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> >> n;</div>
|
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordflow">if</span> (n < 0) {</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  n = -n;</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  }</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordflow">if</span> (n == 0) {</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"All non-zero numbers are divisors of 0 !"</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Number of positive divisors is : "</span>;</div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <a class="code" href="../../d0/da2/number__of__positive__divisors_8cpp.html#ad89ccced8504b5116046cfa03066ffeb">number_of_positive_divisors</a>(n) << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ad89ccced8504b5116046cfa03066ffeb">◆ </a></span>number_of_positive_divisors()</h2>
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<td class="memname">int number_of_positive_divisors </td>
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<td>(</td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>n</em></td><td>)</td>
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<p>Algorithm </p>
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<div class="fragment"><div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  {</div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a> prime_exponent_count;</div>
|
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 2; i * i <= n; i++) {</div>
|
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="keywordtype">int</span> prime_count = 0;</div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keywordflow">while</span> (n % i == 0) {</div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  prime_count += 1;</div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  n /= i;</div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  }</div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keywordflow">if</span> (prime_count != 0) {</div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  prime_exponent_count.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(prime_count);</div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  }</div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  }</div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="keywordflow">if</span> (n > 1) {</div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  prime_exponent_count.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(1);</div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  }</div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  </div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="keywordtype">int</span> divisors_count = 1;</div>
|
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  </div>
|
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < prime_exponent_count.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); i++) {</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  divisors_count = divisors_count * (prime_exponent_count[i] + 1);</div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  }</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  </div>
|
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keywordflow">return</span> divisors_count;</div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> }</div>
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<tr class="memdesc:aa26de383227859210f14dcf12201a079"><td class="mdescLeft"> </td><td class="mdescRight">merges 2 sorted adjacent segments into a larger sorted segment <a href="../../d5/d91/namespacesorting.html#aa26de383227859210f14dcf12201a079">More...</a><br /></td></tr>
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<tr class="memdesc:a140d913e42fb94176a0b2c8b29a80420"><td class="mdescLeft"> </td><td class="mdescRight">bottom-up merge sort which sorts elements in a non-decreasing order <a href="../../d5/d91/namespacesorting.html#a140d913e42fb94176a0b2c8b29a80420">More...</a><br /></td></tr>
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<tr class="memitem:a27236b8d3df3832e1f1225576a122534"><td class="memTemplParams" colspan="2">template<class Iterator > </td></tr>
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<tr class="memitem:a27236b8d3df3832e1f1225576a122534"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d5/d91/namespacesorting.html#a27236b8d3df3832e1f1225576a122534">sorting::non_recursive_merge_sort</a> (const Iterator first, const size_t n)</td></tr>
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<tr class="memdesc:a27236b8d3df3832e1f1225576a122534"><td class="mdescLeft"> </td><td class="mdescRight">bottom-up merge sort which sorts elements in a non-decreasing order <a href="../../d5/d91/namespacesorting.html#a27236b8d3df3832e1f1225576a122534">More...</a><br /></td></tr>
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<tr class="memitem:ae97f4dd815654c4682f564afd718e824"><td class="memTemplParams" colspan="2">template<class Iterator > </td></tr>
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<tr class="memitem:ae97f4dd815654c4682f564afd718e824"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d5/d91/namespacesorting.html#ae97f4dd815654c4682f564afd718e824">sorting::non_recursive_merge_sort</a> (const Iterator first, const Iterator last)</td></tr>
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<tr class="memdesc:ae97f4dd815654c4682f564afd718e824"><td class="mdescLeft"> </td><td class="mdescRight">bottom-up merge sort which sorts elements in a non-decreasing order <a href="../../d5/d91/namespacesorting.html#ae97f4dd815654c4682f564afd718e824">More...</a><br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p>Copyright 2020 </p><dl class="section author"><dt>Author</dt><dd>Albirair</dd></dl>
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<p>A generic implementation of non-recursive merge sort. </p>
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|
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<p><a href="https://en.wikipedia.org/wiki/Gaussian_elimination">Gaussian elimination method</a>
|
||||
<a href="#details">More...</a></p>
|
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<div class="textblock"><code>#include <iostream></code><br />
|
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Functions</h2></td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d0/de2/gaussian__elimination_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
|
||||
<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Gaussian_elimination">Gaussian elimination method</a> </p>
|
||||
</div><h2 class="groupheader">Function Documentation</h2>
|
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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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<div class="memproto">
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<td class="memname">int main </td>
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<td>(</td>
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<td></td>
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<p>Main function </p>
|
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<div class="fragment"><div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  {</div>
|
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<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>  <span class="keywordtype">int</span> mat_size, i, j, step;</div>
|
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<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>  </div>
|
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<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Matrix size: "</span>;</div>
|
||||
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> >> mat_size;</div>
|
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<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>  </div>
|
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>  <span class="comment">// create a 2D matrix by dynamic memory allocation</span></div>
|
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>  <span class="keywordtype">double</span> **mat = <span class="keyword">new</span> <span class="keywordtype">double</span> *[mat_size + 1], **x = <span class="keyword">new</span> <span class="keywordtype">double</span> *[mat_size];</div>
|
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<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>  <span class="keywordflow">for</span> (i = 0; i <= mat_size; i++) {</div>
|
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>  mat[i] = <span class="keyword">new</span> <span class="keywordtype">double</span>[mat_size + 1];</div>
|
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<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  <span class="keywordflow">if</span> (i < mat_size)</div>
|
||||
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  x[i] = <span class="keyword">new</span> <span class="keywordtype">double</span>[mat_size + 1];</div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  }</div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  </div>
|
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  <span class="comment">// get the matrix elements from user</span></div>
|
||||
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a> << <span class="stringliteral">"Enter value of the matrix: "</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  <span class="keywordflow">for</span> (i = 0; i < mat_size; i++) {</div>
|
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  <span class="keywordflow">for</span> (j = 0; j <= mat_size; j++) {</div>
|
||||
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> >></div>
|
||||
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  mat[i][j]; <span class="comment">// Enter (mat_size*mat_size) value of the matrix.</span></div>
|
||||
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  }</div>
|
||||
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  }</div>
|
||||
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
|
||||
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="comment">// perform Gaussian elimination</span></div>
|
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="keywordflow">for</span> (step = 0; step < mat_size - 1; step++) {</div>
|
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="keywordflow">for</span> (i = step; i < mat_size - 1; i++) {</div>
|
||||
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keywordtype">double</span> <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a> = (mat[i + 1][step] / mat[step][step]);</div>
|
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  </div>
|
||||
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="keywordflow">for</span> (j = step; j <= mat_size; j++)</div>
|
||||
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  mat[i + 1][j] = mat[i + 1][j] - (<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a> * mat[step][j]);</div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  }</div>
|
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  }</div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  </div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div>
|
||||
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  << <span class="stringliteral">"Matrix using Gaussian Elimination method: "</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keywordflow">for</span> (i = 0; i < mat_size; i++) {</div>
|
||||
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|
||||
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|
||||
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << mat[i][j] << <span class="stringliteral">" "</span>;</div>
|
||||
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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|
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|
||||
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordflow">for</span> (j = mat_size - 1; j > i; j--) {</div>
|
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|
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|
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|
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|
||||
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  x[i][i] = (x[i][mat_size] - sum) / (x[i][i]);</div>
|
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  </div>
|
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"x"</span> << i << <span class="stringliteral">"= "</span> << x[i][i] << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  }</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  </div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keywordflow">for</span> (i = 0; i <= mat_size; i++) {</div>
|
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keyword">delete</span>[] mat[i];</div>
|
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keywordflow">if</span> (i < mat_size)</div>
|
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keyword">delete</span>[] x[i];</div>
|
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  }</div>
|
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keyword">delete</span>[] mat;</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keyword">delete</span>[] x;</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  </div>
|
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> }</div>
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