1499 lines
75 KiB
HTML
1499 lines
75 KiB
HTML
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<title>GEOS: geos::triangulate::quadedge::Vertex Class Reference</title>
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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_1triangulate.html">triangulate</a></li><li class="navelem"><a class="el" href="namespacegeos_1_1triangulate_1_1quadedge.html">quadedge</a></li><li class="navelem"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a></li> </ul>
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<a href="#pub-methods">Public Member Functions</a> |
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<div class="title">geos::triangulate::quadedge::Vertex Class Reference</div> </div>
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<p>Models a site (node) in a <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1QuadEdgeSubdivision.html" title="A class that contains the QuadEdges representing a planar subdivision that models a triangulation...">QuadEdgeSubdivision</a>.
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<a href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#details">More...</a></p>
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<p><code>#include <<a class="el" href="Vertex_8h_source.html">Vertex.h</a>></code></p>
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Collaboration diagram for geos::triangulate::quadedge::Vertex:</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:ae9aff2bf2b4d70e46ecedc8eb1d77b96"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#ae9aff2bf2b4d70e46ecedc8eb1d77b96">Vertex</a> (double _x, double _y)</td></tr>
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<tr class="separator:ae9aff2bf2b4d70e46ecedc8eb1d77b96"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a75415149bf95ddc567becc117362fd13"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a75415149bf95ddc567becc117362fd13">Vertex</a> (double _x, double _y, double _z)</td></tr>
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<tr class="separator:a75415149bf95ddc567becc117362fd13"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a89a5c63e8460993e6d6a48a7a55e364a"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a89a5c63e8460993e6d6a48a7a55e364a">Vertex</a> (const <a class="el" href="classgeos_1_1geom_1_1Coordinate.html">geom::Coordinate</a> &_p)</td></tr>
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<tr class="separator:a89a5c63e8460993e6d6a48a7a55e364a"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ab84503aaf44120524b5c0b254fe0859e"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#ab84503aaf44120524b5c0b254fe0859e">Vertex</a> ()</td></tr>
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<tr class="separator:ab84503aaf44120524b5c0b254fe0859e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a4b111362237ac5257bfd649deba4804c"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a4b111362237ac5257bfd649deba4804c">~Vertex</a> ()</td></tr>
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<tr class="separator:a4b111362237ac5257bfd649deba4804c"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ae35f5d9daad54f959c8a5006fc76de7f"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#ae35f5d9daad54f959c8a5006fc76de7f">getX</a> () const </td></tr>
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<tr class="memitem:a2fd5c7362ec4762b686b9a3e2563e3a0"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a2fd5c7362ec4762b686b9a3e2563e3a0">getY</a> () const </td></tr>
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<tr class="separator:a2fd5c7362ec4762b686b9a3e2563e3a0"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a0ed83922d5d1f785dafbfcdc17acd6ba"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a0ed83922d5d1f785dafbfcdc17acd6ba">getZ</a> () const </td></tr>
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<tr class="separator:a0ed83922d5d1f785dafbfcdc17acd6ba"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a9843f5cd86b85b2cac8a3ef6a23f3ad9"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a9843f5cd86b85b2cac8a3ef6a23f3ad9">setZ</a> (double _z)</td></tr>
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<tr class="separator:a9843f5cd86b85b2cac8a3ef6a23f3ad9"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a48d39153bd82d2f78570ffd07e9e052d"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classgeos_1_1geom_1_1Coordinate.html">geom::Coordinate</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a48d39153bd82d2f78570ffd07e9e052d">getCoordinate</a> () const </td></tr>
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<tr class="separator:a48d39153bd82d2f78570ffd07e9e052d"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a3babf42f9d60b90bf798f7f572c20bb5"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a3babf42f9d60b90bf798f7f572c20bb5">equals</a> (const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> &_x) const </td></tr>
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<tr class="separator:a3babf42f9d60b90bf798f7f572c20bb5"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a066164f95c5697aa609f529e1350fa0b"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a066164f95c5697aa609f529e1350fa0b">equals</a> (const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> &_x, double tolerance) const </td></tr>
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<tr class="memitem:ae7e7736e094849138b13d856225ba626"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#ae7e7736e094849138b13d856225ba626">classify</a> (const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> &p0, const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> &p1)</td></tr>
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<tr class="memitem:a0e87eeb1665dd6f307c3654e40355276"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a0e87eeb1665dd6f307c3654e40355276">crossProduct</a> (const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> &v) const </td></tr>
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<tr class="separator:a0e87eeb1665dd6f307c3654e40355276"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a0b1e1f5b5456e6467ffb02179819ca72"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a0b1e1f5b5456e6467ffb02179819ca72">dot</a> (<a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> v) const </td></tr>
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<tr class="separator:a0b1e1f5b5456e6467ffb02179819ca72"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a901b6df30a50ee2bafe302a335c9d54e"><td class="memItemLeft" align="right" valign="top">std::unique_ptr< <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> > </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a901b6df30a50ee2bafe302a335c9d54e">times</a> (double c) const </td></tr>
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<tr class="separator:a901b6df30a50ee2bafe302a335c9d54e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aaa2fcaf82c7b173018d5de96433f1a0a"><td class="memItemLeft" align="right" valign="top">std::unique_ptr< <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> > </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#aaa2fcaf82c7b173018d5de96433f1a0a">sum</a> (<a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> v) const </td></tr>
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<tr class="separator:aaa2fcaf82c7b173018d5de96433f1a0a"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a8d743881173e99f4ab3f833df1d30493"><td class="memItemLeft" align="right" valign="top">std::unique_ptr< <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> > </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a8d743881173e99f4ab3f833df1d30493">sub</a> (const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> &v) const </td></tr>
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<tr class="separator:a8d743881173e99f4ab3f833df1d30493"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a820a19a781a24230736fb997e9aa3211"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a820a19a781a24230736fb997e9aa3211">magn</a> () const </td></tr>
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<tr class="separator:a820a19a781a24230736fb997e9aa3211"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aada420c7c99854f2eb69f4feda6a0919"><td class="memItemLeft" align="right" valign="top">std::unique_ptr< <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> > </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#aada420c7c99854f2eb69f4feda6a0919">cross</a> () const </td></tr>
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<tr class="separator:aada420c7c99854f2eb69f4feda6a0919"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a92cd36f23e493e576dcd994efb730576"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a92cd36f23e493e576dcd994efb730576">isInCircle</a> (const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> &a, const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> &b, const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> &c) const </td></tr>
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<tr class="memitem:a63b53ba51752fa038e9d5e2e32855954"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a63b53ba51752fa038e9d5e2e32855954">isCCW</a> (const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> &b, const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> &c) const </td></tr>
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<tr class="memitem:a030ac2e8fb8856317240689adbdb0c81"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a030ac2e8fb8856317240689adbdb0c81">rightOf</a> (const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1QuadEdge.html">QuadEdge</a> &e) const </td></tr>
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<tr class="memitem:ac91738bb7a5fdfa44c56386a09d153a7"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#ac91738bb7a5fdfa44c56386a09d153a7">leftOf</a> (const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1QuadEdge.html">QuadEdge</a> &e) const </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-attribs"></a>
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Static Public Attributes</h2></td></tr>
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<tr class="memitem:a282ca983d30ad5ddb0e8df86ac619cce"><td class="memItemLeft" align="right" valign="top">static const int </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a282ca983d30ad5ddb0e8df86ac619cce">LEFT</a> = 0</td></tr>
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<tr class="memitem:a7056b3855663688882bdfc40351b0b8d"><td class="memItemLeft" align="right" valign="top">static const int </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a7056b3855663688882bdfc40351b0b8d">RIGHT</a> = 1</td></tr>
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<tr class="memitem:a71c082343df62b1c9795a819153ea1c7"><td class="memItemLeft" align="right" valign="top">static const int </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a71c082343df62b1c9795a819153ea1c7">BEYOND</a> = 2</td></tr>
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<tr class="memitem:a96c9e1404b69187dae58a9a2e37d5e3e"><td class="memItemLeft" align="right" valign="top">static const int </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a96c9e1404b69187dae58a9a2e37d5e3e">BEHIND</a> = 3</td></tr>
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<tr class="memitem:a3b565f4cb5ab7c3922cb53a98031ceb2"><td class="memItemLeft" align="right" valign="top">static const int </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a3b565f4cb5ab7c3922cb53a98031ceb2">BETWEEN</a> = 4</td></tr>
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<tr class="memitem:adab9e5532728f51f4faee8f29646b0b9"><td class="memItemLeft" align="right" valign="top">static const int </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#adab9e5532728f51f4faee8f29646b0b9">ORIGIN</a> = 5</td></tr>
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<tr class="memitem:a57ff4c1b3c334fd12ec3d7f281b0741c"><td class="memItemLeft" align="right" valign="top">static const int </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a57ff4c1b3c334fd12ec3d7f281b0741c">DESTINATION</a> = 6</td></tr>
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Private Member Functions</h2></td></tr>
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<tr class="memitem:adcc744e340dbbc231fa2492668cddbc3"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#adcc744e340dbbc231fa2492668cddbc3">distance</a> (const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> &v1, const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> &v2)</td></tr>
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<tr class="memitem:a40be19d373d15dd4ce261c2bf79e7623"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a40be19d373d15dd4ce261c2bf79e7623">circumRadiusRatio</a> (const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> &b, const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> &c)</td></tr>
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<tr class="memitem:adf499f30baa72d1ee86e31d3ac534a71"><td class="memItemLeft" align="right" valign="top">std::unique_ptr< <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> > </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#adf499f30baa72d1ee86e31d3ac534a71">midPoint</a> (const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> &a)</td></tr>
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<tr class="memitem:a94b484193cefbb8fd9deb89064b5e859"><td class="memItemLeft" align="right" valign="top">std::unique_ptr< <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> > </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a94b484193cefbb8fd9deb89064b5e859">circleCenter</a> (const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> &b, const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> &c) const </td></tr>
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<tr class="memitem:ace6817a76dd61b131852f4dbf49ec0ad"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#ace6817a76dd61b131852f4dbf49ec0ad">interpolateZValue</a> (const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> &v0, const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> &v1, const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> &v2) const </td></tr>
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<tr class="memitem:a5c32a6b43e8bae05ddcfe3a651d0947e"><td class="memItemLeft" align="right" valign="top">static std::unique_ptr< <a class="el" href="classgeos_1_1algorithm_1_1HCoordinate.html">algorithm::HCoordinate</a> > </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#a5c32a6b43e8bae05ddcfe3a651d0947e">bisector</a> (const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> &a, const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> &b)</td></tr>
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<tr class="memitem:ad1436c4d9d64d105b0b9c4799fcfe882"><td class="memItemLeft" align="right" valign="top">static double </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#ad1436c4d9d64d105b0b9c4799fcfe882">interpolateZ</a> (const <a class="el" href="classgeos_1_1geom_1_1Coordinate.html">geom::Coordinate</a> &<a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#af41e120094578942b1c2b133a32e9d9a">p</a>, const <a class="el" href="classgeos_1_1geom_1_1Coordinate.html">geom::Coordinate</a> &v0, const <a class="el" href="classgeos_1_1geom_1_1Coordinate.html">geom::Coordinate</a> &v1, const <a class="el" href="classgeos_1_1geom_1_1Coordinate.html">geom::Coordinate</a> &v2)</td></tr>
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<tr class="memitem:afeb7e44bf9bf3c321775edf3819b2189"><td class="memItemLeft" align="right" valign="top">static double </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#afeb7e44bf9bf3c321775edf3819b2189">interpolateZ</a> (const <a class="el" href="classgeos_1_1geom_1_1Coordinate.html">geom::Coordinate</a> &<a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#af41e120094578942b1c2b133a32e9d9a">p</a>, const <a class="el" href="classgeos_1_1geom_1_1Coordinate.html">geom::Coordinate</a> &p0, const <a class="el" href="classgeos_1_1geom_1_1Coordinate.html">geom::Coordinate</a> &p1)</td></tr>
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Private Attributes</h2></td></tr>
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<tr class="memitem:af41e120094578942b1c2b133a32e9d9a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classgeos_1_1geom_1_1Coordinate.html">geom::Coordinate</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html#af41e120094578942b1c2b133a32e9d9a">p</a></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>Models a site (node) in a <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1QuadEdgeSubdivision.html" title="A class that contains the QuadEdges representing a planar subdivision that models a triangulation...">QuadEdgeSubdivision</a>. </p>
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<p>The sites can be points on a line string representing a linear site.</p>
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<p>The vertex can be considered as a vector with a norm, length, inner product, cross product, etc. Additionally, point relations (e.g., is a point to the left of a line, the circle defined by this point and two others, etc.) are also defined in this class.</p>
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<p>It is common to want to attach user-defined data to the vertices of a subdivision. One way to do this is to subclass <code><a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html" title="Models a site (node) in a QuadEdgeSubdivision. ">Vertex</a></code> to carry any desired information.</p>
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<dl class="section author"><dt>Author</dt><dd>JTS: David Skea </dd>
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<dd>
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JTS: Martin Davis </dd>
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<dd>
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Benjamin Campbell </dd></dl>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00060">60</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00080">80</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<p>Computes the centre of the circumcircle of this vertex and two others.</p>
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<dl class="section return"><dt>Returns</dt><dd>the Coordinate which is the circumcircle of the 3 points. </dd></dl>
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<p>Computes the value of the ratio of the circumradius to shortest edge. If smaller than some given tolerance B, the associated triangle is considered skinny. For an equal lateral triangle this value is 0.57735. The ratio is related to the minimum triangle angle theta by: circumRadius/shortestEdge = 1/(2sin(theta)).</p>
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<td class="memname">int geos::triangulate::quadedge::Vertex::classify </td>
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<td>(</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_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> & </td>
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<td class="memname">std::unique_ptr<<a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a>> geos::triangulate::quadedge::Vertex::cross </td>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00191">191</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<p>References <a class="el" href="Coordinate_8h_source.html#l00080">geos::geom::Coordinate::x</a>, and <a class="el" href="Coordinate_8h_source.html#l00083">geos::geom::Coordinate::y</a>.</p>
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<td class="memname">double geos::triangulate::quadedge::Vertex::crossProduct </td>
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<td>(</td>
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<p>Computes the cross product k = u X v.</p>
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<dl class="params"><dt>Parameters</dt><dd>
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<dl class="section return"><dt>Returns</dt><dd>returns the magnitude of u X v </dd></dl>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00139">139</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<p>References <a class="el" href="Vertex_8h_source.html#l00083">getX()</a>, <a class="el" href="Vertex_8h_source.html#l00089">getY()</a>, <a class="el" href="Coordinate_8h_source.html#l00080">geos::geom::Coordinate::x</a>, and <a class="el" href="Coordinate_8h_source.html#l00083">geos::geom::Coordinate::y</a>.</p>
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<td class="memname">double geos::triangulate::quadedge::Vertex::distance </td>
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<td>(</td>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00237">237</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<p>References <a class="el" href="Vertex_8h_source.html#l00083">getX()</a>, and <a class="el" href="Vertex_8h_source.html#l00089">getY()</a>.</p>
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<td class="memname">double geos::triangulate::quadedge::Vertex::dot </td>
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<td>(</td>
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<td class="paramname"><em>v</em></td><td>)</td>
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<p>Computes the inner or dot product</p>
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<dl class="section return"><dt>Returns</dt><dd>returns the dot product u.v </dd></dl>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00151">151</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<p>References <a class="el" href="Vertex_8h_source.html#l00083">getX()</a>, <a class="el" href="Vertex_8h_source.html#l00089">getY()</a>, <a class="el" href="Coordinate_8h_source.html#l00080">geos::geom::Coordinate::x</a>, and <a class="el" href="Coordinate_8h_source.html#l00083">geos::geom::Coordinate::y</a>.</p>
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<td class="memname">bool geos::triangulate::quadedge::Vertex::equals </td>
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<td class="paramname"><em>_x</em></td><td>)</td>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00113">113</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<p>References <a class="el" href="Vertex_8h_source.html#l00083">getX()</a>, <a class="el" href="Vertex_8h_source.html#l00089">getY()</a>, <a class="el" href="Coordinate_8h_source.html#l00080">geos::geom::Coordinate::x</a>, and <a class="el" href="Coordinate_8h_source.html#l00083">geos::geom::Coordinate::y</a>.</p>
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<td class="memname">bool geos::triangulate::quadedge::Vertex::equals </td>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00122">122</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<p>References <a class="el" href="classgeos_1_1geom_1_1Coordinate.html#a9a30687133579e261178d099a238ef19">geos::geom::Coordinate::distance()</a>, and <a class="el" href="Vertex_8h_source.html#l00107">getCoordinate()</a>.</p>
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<td class="memname">const <a class="el" href="classgeos_1_1geom_1_1Coordinate.html">geom::Coordinate</a>& geos::triangulate::quadedge::Vertex::getCoordinate </td>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00107">107</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<p>Referenced by <a class="el" href="Vertex_8h_source.html#l00122">equals()</a>, and <a class="el" href="Vertex_8h_source.html#l00307">geos::triangulate::quadedge::operator<()</a>.</p>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00083">83</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<p>Referenced by <a class="el" href="Vertex_8h_source.html#l00139">crossProduct()</a>, <a class="el" href="Vertex_8h_source.html#l00237">distance()</a>, <a class="el" href="Vertex_8h_source.html#l00151">dot()</a>, <a class="el" href="Vertex_8h_source.html#l00113">equals()</a>, <a class="el" href="Vertex_8h_source.html#l00177">sub()</a>, and <a class="el" href="Vertex_8h_source.html#l00170">sum()</a>.</p>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00089">89</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<p>Referenced by <a class="el" href="Vertex_8h_source.html#l00139">crossProduct()</a>, <a class="el" href="Vertex_8h_source.html#l00237">distance()</a>, <a class="el" href="Vertex_8h_source.html#l00151">dot()</a>, <a class="el" href="Vertex_8h_source.html#l00113">equals()</a>, <a class="el" href="Vertex_8h_source.html#l00177">sub()</a>, and <a class="el" href="Vertex_8h_source.html#l00170">sum()</a>.</p>
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<div class="center"><iframe scrolling="no" frameborder="0" src="classgeos_1_1triangulate_1_1quadedge_1_1Vertex_a2fd5c7362ec4762b686b9a3e2563e3a0_icgraph.svg" width="462" height="395"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<td class="memname">double geos::triangulate::quadedge::Vertex::getZ </td>
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<td>(</td>
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<td> const</td>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00095">95</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<p>References <a class="el" href="Coordinate_8h_source.html#l00086">geos::geom::Coordinate::z</a>.</p>
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<td class="memname">static double geos::triangulate::quadedge::Vertex::interpolateZ </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">geom::Coordinate</a> & </td>
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<td class="paramname"><em>v2</em> </td>
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<p>Interpolates the Z-value (height) of a point enclosed in a triangle whose vertices all have Z values. The containing triangle must not be degenerate (in other words, the three vertices must enclose a non-zero area).</p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">p</td><td>the point to interpolate the Z value of </td></tr>
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<tr><td class="paramname">v0</td><td>a vertex of a triangle containing the p </td></tr>
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<tr><td class="paramname">v1</td><td>a vertex of a triangle containing the p </td></tr>
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<tr><td class="paramname">v2</td><td>a vertex of a triangle containing the p </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>the interpolated Z-value (height) of the point </dd></dl>
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<td class="memname">static double geos::triangulate::quadedge::Vertex::interpolateZ </td>
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<td>(</td>
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<p>Computes the interpolated Z-value for a point p lying on the segment p0-p1</p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">p</td><td></td></tr>
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<dl class="section return"><dt>Returns</dt><dd>the interpolated Z value </dd></dl>
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<td class="memname">double geos::triangulate::quadedge::Vertex::interpolateZValue </td>
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<td>(</td>
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<p>For this vertex enclosed in a triangle defined by three vertices v0, v1 and v2, interpolate a z value from the surrounding vertices. </p>
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<td class="memname">bool geos::triangulate::quadedge::Vertex::isCCW </td>
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<td>(</td>
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<p>Tests whether the triangle formed by this vertex and two other vertices is in CCW orientation.</p>
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<dl class="section return"><dt>Returns</dt><dd>true if the triangle is oriented CCW </dd></dl>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00223">223</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<p>References <a class="el" href="Vertex_8h_source.html#l00070">p</a>, <a class="el" href="Coordinate_8h_source.html#l00080">geos::geom::Coordinate::x</a>, and <a class="el" href="Coordinate_8h_source.html#l00083">geos::geom::Coordinate::y</a>.</p>
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<td class="memname">bool geos::triangulate::quadedge::Vertex::isInCircle </td>
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<td>(</td>
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<p>Tests if the vertex is inside the circle defined by the triangle with vertices a, b, c (oriented counter-clockwise).</p>
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<tr><td class="paramname">a</td><td>a vertex of the triangle </td></tr>
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<tr><td class="paramname">b</td><td>a vertex of the triangle </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>true if this vertex is in the circumcircle of (a,b,c) </dd></dl>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00210">210</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<p>References <a class="el" href="classgeos_1_1geom_1_1TrianglePredicate.html#aee361c581eb83e761cfcdb5844382876">geos::geom::TrianglePredicate::isInCircleRobust()</a>, and <a class="el" href="Vertex_8h_source.html#l00070">p</a>.</p>
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<div class="center"><iframe scrolling="no" frameborder="0" src="classgeos_1_1triangulate_1_1quadedge_1_1Vertex_a92cd36f23e493e576dcd994efb730576_cgraph.svg" width="480" height="55"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<td class="memname">bool geos::triangulate::quadedge::Vertex::leftOf </td>
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<td class="paramname"><em>e</em></td><td>)</td>
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<td class="memname">double geos::triangulate::quadedge::Vertex::magn </td>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00184">184</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<p>References <a class="el" href="Coordinate_8h_source.html#l00080">geos::geom::Coordinate::x</a>, and <a class="el" href="Coordinate_8h_source.html#l00083">geos::geom::Coordinate::y</a>.</p>
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<td class="memname">std::unique_ptr<<a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a>> geos::triangulate::quadedge::Vertex::midPoint </td>
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<td>(</td>
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<p>returns a new vertex that is mid-way between this vertex and another end point.</p>
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<dl class="section return"><dt>Returns</dt><dd>the point mid-way between this and that. </dd></dl>
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<td class="memname">bool geos::triangulate::quadedge::Vertex::rightOf </td>
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<td class="memname">void geos::triangulate::quadedge::Vertex::setZ </td>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00101">101</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<p>References <a class="el" href="Coordinate_8h_source.html#l00086">geos::geom::Coordinate::z</a>.</p>
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<td class="memname">std::unique_ptr<<a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a>> geos::triangulate::quadedge::Vertex::sub </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a> & </td>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00177">177</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<p>References <a class="el" href="Vertex_8h_source.html#l00083">getX()</a>, <a class="el" href="Vertex_8h_source.html#l00089">getY()</a>, <a class="el" href="Coordinate_8h_source.html#l00080">geos::geom::Coordinate::x</a>, and <a class="el" href="Coordinate_8h_source.html#l00083">geos::geom::Coordinate::y</a>.</p>
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<td class="memname">std::unique_ptr<<a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a>> geos::triangulate::quadedge::Vertex::sum </td>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00170">170</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<p>References <a class="el" href="Vertex_8h_source.html#l00083">getX()</a>, <a class="el" href="Vertex_8h_source.html#l00089">getY()</a>, <a class="el" href="Coordinate_8h_source.html#l00080">geos::geom::Coordinate::x</a>, and <a class="el" href="Coordinate_8h_source.html#l00083">geos::geom::Coordinate::y</a>.</p>
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<td class="memname">std::unique_ptr<<a class="el" href="classgeos_1_1triangulate_1_1quadedge_1_1Vertex.html">Vertex</a>> geos::triangulate::quadedge::Vertex::times </td>
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<p>Computes the scalar product c(v)</p>
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<dl class="params"><dt>Parameters</dt><dd>
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<dl class="section return"><dt>Returns</dt><dd>returns the scaled vector </dd></dl>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00163">163</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<p>References <a class="el" href="Coordinate_8h_source.html#l00080">geos::geom::Coordinate::x</a>, and <a class="el" href="Coordinate_8h_source.html#l00083">geos::geom::Coordinate::y</a>.</p>
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<h2 class="groupheader">Member Data Documentation</h2>
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<td class="memname">const int geos::triangulate::quadedge::Vertex::BEHIND = 3</td>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00065">65</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00066">66</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00064">64</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00068">68</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00062">62</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00067">67</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<td class="memname"><a class="el" href="classgeos_1_1geom_1_1Coordinate.html">geom::Coordinate</a> geos::triangulate::quadedge::Vertex::p</td>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00070">70</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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<p>Referenced by <a class="el" href="Vertex_8h_source.html#l00223">isCCW()</a>, and <a class="el" href="Vertex_8h_source.html#l00210">isInCircle()</a>.</p>
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<p>Definition at line <a class="el" href="Vertex_8h_source.html#l00063">63</a> of file <a class="el" href="Vertex_8h_source.html">Vertex.h</a>.</p>
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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="Vertex_8h_source.html">Vertex.h</a></li>
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