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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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<a href="#pub-methods">Public Member Functions</a> &#124;
<a href="../../dd/da8/struct_segment_intersection-members.html">List of all members</a> </div>
<div class="headertitle"><div class="title">SegmentIntersection Struct Reference</div></div>
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Public Member Functions</h2></td></tr>
<tr class="memitem:aefd077282f45bd16799b53f8aa430ffd"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/db4/struct_segment_intersection.html#aefd077282f45bd16799b53f8aa430ffd">intersect</a> (<a class="el" href="../../d8/dc8/struct_point.html">Point</a> first_point, <a class="el" href="../../d8/dc8/struct_point.html">Point</a> second_point, <a class="el" href="../../d8/dc8/struct_point.html">Point</a> third_point, <a class="el" href="../../d8/dc8/struct_point.html">Point</a> forth_point)</td></tr>
<tr class="separator:aefd077282f45bd16799b53f8aa430ffd"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3beb2ac1b35d67354f1dbaf9a971e655"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/db4/struct_segment_intersection.html#a3beb2ac1b35d67354f1dbaf9a971e655">direction</a> (<a class="el" href="../../d8/dc8/struct_point.html">Point</a> first_point, <a class="el" href="../../d8/dc8/struct_point.html">Point</a> second_point, <a class="el" href="../../d8/dc8/struct_point.html">Point</a> third_point)</td></tr>
<tr class="separator:a3beb2ac1b35d67354f1dbaf9a971e655"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a008941b2272866c64cdaf959afa939bf"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/db4/struct_segment_intersection.html#a008941b2272866c64cdaf959afa939bf">on_segment</a> (<a class="el" href="../../d8/dc8/struct_point.html">Point</a> first_point, <a class="el" href="../../d8/dc8/struct_point.html">Point</a> second_point, <a class="el" href="../../d8/dc8/struct_point.html">Point</a> third_point)</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p >intersect returns true if segments of two line intersects and false if they do not. It calls the subroutines direction which computes the orientation. </p>
</div><h2 class="groupheader">Member Function Documentation</h2>
<a id="a3beb2ac1b35d67354f1dbaf9a971e655" name="a3beb2ac1b35d67354f1dbaf9a971e655"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3beb2ac1b35d67354f1dbaf9a971e655">&#9670;&nbsp;</a></span>direction()</h2>
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<td class="memname">int SegmentIntersection::direction </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d8/dc8/struct_point.html">Point</a>&#160;</td>
<td class="paramname"><em>first_point</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="../../d8/dc8/struct_point.html">Point</a>&#160;</td>
<td class="paramname"><em>second_point</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="../../d8/dc8/struct_point.html">Point</a>&#160;</td>
<td class="paramname"><em>third_point</em>&#160;</td>
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<td>)</td>
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<p >We will find direction of line here respect to @first_point. Here @second_point and @third_point is first and second points of the line respectively. we want a method to determine which way a given angle these three points turns. If returned number is negative, then the angle is counter-clockwise. That means the line is going to right to left. We will fount angle as clockwise if the method returns positive number. </p>
<div class="fragment"><div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> {</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="keywordflow">return</span> ((third_point.x - first_point.x) *</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> (second_point.<a class="code hl_variable" href="../../d8/dc8/struct_point.html#a2e1b5fb2b2a83571f5c0bc0f66a73cf7">y</a> - first_point.<a class="code hl_variable" href="../../d8/dc8/struct_point.html#a2e1b5fb2b2a83571f5c0bc0f66a73cf7">y</a>)) -</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> ((second_point.x - first_point.x) *</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> (third_point.<a class="code hl_variable" href="../../d8/dc8/struct_point.html#a2e1b5fb2b2a83571f5c0bc0f66a73cf7">y</a> - first_point.<a class="code hl_variable" href="../../d8/dc8/struct_point.html#a2e1b5fb2b2a83571f5c0bc0f66a73cf7">y</a>));</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> }</div>
<div class="ttc" id="astruct_point_html_a2e1b5fb2b2a83571f5c0bc0f66a73cf7"><div class="ttname"><a href="../../d8/dc8/struct_point.html#a2e1b5fb2b2a83571f5c0bc0f66a73cf7">Point::y</a></div><div class="ttdeci">int y</div><div class="ttdoc">Point respect to x coordinate.</div><div class="ttdef"><b>Definition:</b> line_segment_intersection.cpp:14</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aefd077282f45bd16799b53f8aa430ffd">&#9670;&nbsp;</a></span>intersect()</h2>
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<td class="memname">bool SegmentIntersection::intersect </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d8/dc8/struct_point.html">Point</a>&#160;</td>
<td class="paramname"><em>first_point</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="../../d8/dc8/struct_point.html">Point</a>&#160;</td>
<td class="paramname"><em>second_point</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="../../d8/dc8/struct_point.html">Point</a>&#160;</td>
<td class="paramname"><em>third_point</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="../../d8/dc8/struct_point.html">Point</a>&#160;</td>
<td class="paramname"><em>forth_point</em>&#160;</td>
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<td>)</td>
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<div class="fragment"><div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> {</div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> <span class="keywordtype">int</span> direction1 = <a class="code hl_function" href="../../d4/db4/struct_segment_intersection.html#a3beb2ac1b35d67354f1dbaf9a971e655">direction</a>(third_point, forth_point, first_point);</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> <span class="keywordtype">int</span> direction2 = <a class="code hl_function" href="../../d4/db4/struct_segment_intersection.html#a3beb2ac1b35d67354f1dbaf9a971e655">direction</a>(third_point, forth_point, second_point);</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> <span class="keywordtype">int</span> direction3 = <a class="code hl_function" href="../../d4/db4/struct_segment_intersection.html#a3beb2ac1b35d67354f1dbaf9a971e655">direction</a>(first_point, second_point, third_point);</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <span class="keywordtype">int</span> direction4 = <a class="code hl_function" href="../../d4/db4/struct_segment_intersection.html#a3beb2ac1b35d67354f1dbaf9a971e655">direction</a>(first_point, second_point, forth_point);</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> </div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> <span class="keywordflow">if</span> ((direction1 &lt; 0 || direction2 &gt; 0) &amp;&amp;</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> (direction3 &lt; 0 || direction4 &gt; 0))</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> </div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (direction1 == 0 &amp;&amp;</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <a class="code hl_function" href="../../d4/db4/struct_segment_intersection.html#a008941b2272866c64cdaf959afa939bf">on_segment</a>(third_point, forth_point, first_point))</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> </div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (direction2 == 0 &amp;&amp;</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <a class="code hl_function" href="../../d4/db4/struct_segment_intersection.html#a008941b2272866c64cdaf959afa939bf">on_segment</a>(third_point, forth_point, second_point))</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> </div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (direction3 == 0 &amp;&amp;</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <a class="code hl_function" href="../../d4/db4/struct_segment_intersection.html#a008941b2272866c64cdaf959afa939bf">on_segment</a>(first_point, second_point, third_point))</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> </div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (direction3 == 0 &amp;&amp;</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <a class="code hl_function" href="../../d4/db4/struct_segment_intersection.html#a008941b2272866c64cdaf959afa939bf">on_segment</a>(first_point, second_point, forth_point))</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> </div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> }</div>
<div class="ttc" id="astruct_segment_intersection_html_a008941b2272866c64cdaf959afa939bf"><div class="ttname"><a href="../../d4/db4/struct_segment_intersection.html#a008941b2272866c64cdaf959afa939bf">SegmentIntersection::on_segment</a></div><div class="ttdeci">bool on_segment(Point first_point, Point second_point, Point third_point)</div><div class="ttdef"><b>Definition:</b> line_segment_intersection.cpp:75</div></div>
<div class="ttc" id="astruct_segment_intersection_html_a3beb2ac1b35d67354f1dbaf9a971e655"><div class="ttname"><a href="../../d4/db4/struct_segment_intersection.html#a3beb2ac1b35d67354f1dbaf9a971e655">SegmentIntersection::direction</a></div><div class="ttdeci">int direction(Point first_point, Point second_point, Point third_point)</div><div class="ttdef"><b>Definition:</b> line_segment_intersection.cpp:63</div></div>
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<a id="a008941b2272866c64cdaf959afa939bf" name="a008941b2272866c64cdaf959afa939bf"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a008941b2272866c64cdaf959afa939bf">&#9670;&nbsp;</a></span>on_segment()</h2>
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<td class="memname">bool SegmentIntersection::on_segment </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d8/dc8/struct_point.html">Point</a>&#160;</td>
<td class="paramname"><em>first_point</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="../../d8/dc8/struct_point.html">Point</a>&#160;</td>
<td class="paramname"><em>second_point</em>, </td>
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<td class="paramtype"><a class="el" href="../../d8/dc8/struct_point.html">Point</a>&#160;</td>
<td class="paramname"><em>third_point</em>&#160;</td>
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<td>)</td>
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<p >This method determines whether a point known to be colinear with a segment lies on that segment. </p>
<div class="fragment"><div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> {</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <span class="keywordflow">if</span> (<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a>(first_point.x, second_point.x) &lt;= third_point.x &amp;&amp;</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> third_point.x &lt;= <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a>(first_point.x, second_point.x) &amp;&amp;</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a>(first_point.<a class="code hl_variable" href="../../d8/dc8/struct_point.html#a2e1b5fb2b2a83571f5c0bc0f66a73cf7">y</a>, second_point.<a class="code hl_variable" href="../../d8/dc8/struct_point.html#a2e1b5fb2b2a83571f5c0bc0f66a73cf7">y</a>) &lt;= third_point.<a class="code hl_variable" href="../../d8/dc8/struct_point.html#a2e1b5fb2b2a83571f5c0bc0f66a73cf7">y</a> &amp;&amp;</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> third_point.<a class="code hl_variable" href="../../d8/dc8/struct_point.html#a2e1b5fb2b2a83571f5c0bc0f66a73cf7">y</a> &lt;= <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a>(first_point.<a class="code hl_variable" href="../../d8/dc8/struct_point.html#a2e1b5fb2b2a83571f5c0bc0f66a73cf7">y</a>, second_point.<a class="code hl_variable" href="../../d8/dc8/struct_point.html#a2e1b5fb2b2a83571f5c0bc0f66a73cf7">y</a>))</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> </div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> }</div>
<div class="ttc" id="amax_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a></div><div class="ttdeci">T max(T... args)</div></div>
<div class="ttc" id="amin_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a></div><div class="ttdeci">T min(T... args)</div></div>
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