394 lines
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394 lines
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<li class="navelem"><a class="el" href="namespacegeos.html">geos</a></li><li class="navelem"><a class="el" href="namespacegeos_1_1geom.html">geom</a></li><li class="navelem"><a class="el" href="classgeos_1_1geom_1_1Triangle.html">Triangle</a></li> </ul>
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<a href="#pub-methods">Public Member Functions</a> |
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<a href="#pub-static-methods">Static Public Member Functions</a> |
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<a href="#pub-attribs">Public Attributes</a> |
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<a href="classgeos_1_1geom_1_1Triangle-members.html">List of all members</a> </div>
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<div class="headertitle">
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<div class="title">geos::geom::Triangle Class Reference</div> </div>
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<div class="contents">
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<p>Represents a planar triangle, and provides methods for calculating various properties of triangles.
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<a href="classgeos_1_1geom_1_1Triangle.html#details">More...</a></p>
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<p><code>#include <<a class="el" href="Triangle_8h_source.html">Triangle.h</a>></code></p>
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Collaboration diagram for geos::geom::Triangle:</div>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
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Public Member Functions</h2></td></tr>
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<tr class="memitem:a068233b8bc8d7b7aed1260beb36d4852"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1geom_1_1Triangle.html#a068233b8bc8d7b7aed1260beb36d4852">Triangle</a> (const <a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> &nP0, const <a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> &nP1, const <a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> &nP2)</td></tr>
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<tr class="separator:a068233b8bc8d7b7aed1260beb36d4852"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ad5b0905bee3ed78c709e6f22b3062c7e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1geom_1_1Triangle.html#ad5b0905bee3ed78c709e6f22b3062c7e">inCentre</a> (<a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> &resultPoint)</td></tr>
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<tr class="memdesc:ad5b0905bee3ed78c709e6f22b3062c7e"><td class="mdescLeft"> </td><td class="mdescRight">The inCentre of a triangle is the point which is equidistant from the sides of the triangle. <a href="#ad5b0905bee3ed78c709e6f22b3062c7e">More...</a><br /></td></tr>
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<tr class="separator:ad5b0905bee3ed78c709e6f22b3062c7e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a64789a74d87116ae141e68974940a08d"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1geom_1_1Triangle.html#a64789a74d87116ae141e68974940a08d">circumcentre</a> (<a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> &resultPoint)</td></tr>
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<tr class="memdesc:a64789a74d87116ae141e68974940a08d"><td class="mdescLeft"> </td><td class="mdescRight">Computes the circumcentre of a triangle. <a href="#a64789a74d87116ae141e68974940a08d">More...</a><br /></td></tr>
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<tr class="separator:a64789a74d87116ae141e68974940a08d"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a9a6a86e8e7f920de055b1444fb90edb3"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1geom_1_1Triangle.html#a9a6a86e8e7f920de055b1444fb90edb3">circumcentreDD</a> (<a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> &resultPoint)</td></tr>
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<tr class="separator:a9a6a86e8e7f920de055b1444fb90edb3"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a8707e552329befd166b07789f8260ee6"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1geom_1_1Triangle.html#a8707e552329befd166b07789f8260ee6">isIsoceles</a> ()</td></tr>
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<tr class="separator:a8707e552329befd166b07789f8260ee6"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
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Static Public Member Functions</h2></td></tr>
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<tr class="memitem:aa5cf3994bd12f3001b34354995602ff1"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1geom_1_1Triangle.html#aa5cf3994bd12f3001b34354995602ff1">circumcentre</a> (const <a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> &<a class="el" href="classgeos_1_1geom_1_1Triangle.html#ab30ed7979f268c708c92d92c77e35f23">p0</a>, const <a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> &<a class="el" href="classgeos_1_1geom_1_1Triangle.html#ab5e0e2421b7462f9abe892da69f18953">p1</a>, const <a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> &<a class="el" href="classgeos_1_1geom_1_1Triangle.html#ab381328587badbe69cc847133f56c79e">p2</a>)</td></tr>
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<tr class="memdesc:aa5cf3994bd12f3001b34354995602ff1"><td class="mdescLeft"> </td><td class="mdescRight">Computes the circumcentre of a triangle. <a href="#aa5cf3994bd12f3001b34354995602ff1">More...</a><br /></td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
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Public Attributes</h2></td></tr>
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<tr class="memitem:ab30ed7979f268c708c92d92c77e35f23"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1geom_1_1Triangle.html#ab30ed7979f268c708c92d92c77e35f23">p0</a></td></tr>
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<tr class="separator:ab30ed7979f268c708c92d92c77e35f23"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ab5e0e2421b7462f9abe892da69f18953"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1geom_1_1Triangle.html#ab5e0e2421b7462f9abe892da69f18953">p1</a></td></tr>
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<tr class="memitem:ab381328587badbe69cc847133f56c79e"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1geom_1_1Triangle.html#ab381328587badbe69cc847133f56c79e">p2</a></td></tr>
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<tr class="separator:ab381328587badbe69cc847133f56c79e"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pri-methods"></a>
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Private Member Functions</h2></td></tr>
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<tr class="memitem:ac39b3cb5f88c0207ab1ae0cd114f2b74"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1geom_1_1Triangle.html#ac39b3cb5f88c0207ab1ae0cd114f2b74">det</a> (double m00, double m01, double m10, double m11) const </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>Represents a planar triangle, and provides methods for calculating various properties of triangles. </p>
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<p>Definition at line <a class="el" href="Triangle_8h_source.html#l00031">31</a> of file <a class="el" href="Triangle_8h_source.html">Triangle.h</a>.</p>
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</div><h2 class="groupheader">Constructor & Destructor Documentation</h2>
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<td class="memname">geos::geom::Triangle::Triangle </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> & </td>
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<td class="paramname"><em>nP0</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">const <a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> & </td>
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<td class="paramname"><em>nP1</em>, </td>
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<td class="paramtype">const <a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> & </td>
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<td class="paramname"><em>nP2</em> </td>
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<p>Definition at line <a class="el" href="Triangle_8h_source.html#l00035">35</a> of file <a class="el" href="Triangle_8h_source.html">Triangle.h</a>.</p>
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<h2 class="groupheader">Member Function Documentation</h2>
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<td class="memname">void geos::geom::Triangle::circumcentre </td>
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<td>(</td>
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<td class="paramtype"><a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> & </td>
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<td class="paramname"><em>resultPoint</em></td><td>)</td>
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<p>Computes the circumcentre of a triangle. </p>
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<p>The circumcentre is the centre of the circumcircle, the smallest circle which encloses the triangle. It is also the common intersection point of the perpendicular bisectors of the sides of the triangle, and is the only point which has equal distance to all three vertices of the triangle.</p>
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<p>The circumcentre does not necessarily lie within the triangle. For example, the circumcentre of an obtuse isoceles triangle lies outside the triangle.</p>
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<p>This method uses an algorithm due to J.R.Shewchuk which uses normalization to the origin to improve the accuracy of computation. (See <em>Lecture Notes on Geometric Robustness</em>, Jonathan Richard Shewchuk, 1999).</p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">resultPoint</td><td>the point into which to write the inCentre of the triangle </td></tr>
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<td class="memname">static const <a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> geos::geom::Triangle::circumcentre </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> & </td>
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<td class="paramname"><em>p0</em>, </td>
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<td class="paramtype">const <a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> & </td>
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<td class="paramname"><em>p1</em>, </td>
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<td class="paramtype">const <a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> & </td>
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<td class="paramname"><em>p2</em> </td>
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<td>)</td>
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<p>Computes the circumcentre of a triangle. </p>
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<td class="memname">void geos::geom::Triangle::circumcentreDD </td>
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<td>(</td>
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<td class="paramtype"><a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> & </td>
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<td class="paramname"><em>resultPoint</em></td><td>)</td>
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<td class="memname">double geos::geom::Triangle::det </td>
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<td>(</td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>m00</em>, </td>
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<td class="paramtype">double </td>
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<td class="paramtype">double </td>
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<td>)</td>
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<p>Computes the determinant of a 2x2 matrix. Uses standard double-precision arithmetic, so is susceptible to round-off error.</p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">m00</td><td>the [0,0] entry of the matrix </td></tr>
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<tr><td class="paramname">m01</td><td>the [0,1] entry of the matrix </td></tr>
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<tr><td class="paramname">m10</td><td>the [1,0] entry of the matrix </td></tr>
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<tr><td class="paramname">m11</td><td>the [1,1] entry of the matrix </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>the determinant </dd></dl>
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<td class="memname">void geos::geom::Triangle::inCentre </td>
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<td>(</td>
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<td class="paramtype"><a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> & </td>
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<td class="paramname"><em>resultPoint</em></td><td>)</td>
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<td></td>
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<p>The inCentre of a triangle is the point which is equidistant from the sides of the triangle. </p>
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<p>This is also the point at which the bisectors of the angles meet.</p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">resultPoint</td><td>the point into which to write the inCentre of the triangle </td></tr>
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</dd>
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<td class="memname">bool geos::geom::Triangle::isIsoceles </td>
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<td>(</td>
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<td class="paramname"></td><td>)</td>
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<td></td>
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<h2 class="groupheader">Member Data Documentation</h2>
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<td class="memname"><a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> geos::geom::Triangle::p0</td>
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<p>Definition at line <a class="el" href="Triangle_8h_source.html#l00033">33</a> of file <a class="el" href="Triangle_8h_source.html">Triangle.h</a>.</p>
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<td class="memname"><a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> geos::geom::Triangle::p1</td>
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<p>Definition at line <a class="el" href="Triangle_8h_source.html#l00033">33</a> of file <a class="el" href="Triangle_8h_source.html">Triangle.h</a>.</p>
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<td class="memname"><a class="el" href="classgeos_1_1geom_1_1Coordinate.html">Coordinate</a> geos::geom::Triangle::p2</td>
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<p>Definition at line <a class="el" href="Triangle_8h_source.html#l00033">33</a> of file <a class="el" href="Triangle_8h_source.html">Triangle.h</a>.</p>
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</div>
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</div>
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<hr/>The documentation for this class was generated from the following file:<ul>
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<li><a class="el" href="Triangle_8h_source.html">Triangle.h</a></li>
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</ul>
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