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@ -1,7 +1,6 @@
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Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
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http://code.google.com/p/poly2tri/
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Copyright (c) 2009-2018, Poly2Tri Contributors
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All rights reserved.
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Redistribution and use in source and binary forms, with or without modification,
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are permitted provided that the following conditions are met:
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@ -1,51 +0,0 @@
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==================
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INSTALLATION GUIDE
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==================
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------------
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Dependencies
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------------
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Core poly2tri lib:
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- Standard Template Library (STL)
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Testbed:
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- gcc
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- OpenGL
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- GLFW (http://glfw.sf.net)
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- Python
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Waf (http://code.google.com/p/waf/) is used to compile the testbed.
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A waf script (86kb) is included in the repositoty.
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----------------------------------------------
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Building the Testbed
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----------------------------------------------
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Posix/MSYS environment:
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./waf configure
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./waf build
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Windows command line:
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python waf configure
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python waf build
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----------------------------------------------
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Running the Examples
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----------------------------------------------
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Load data points from a file:
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p2t <filename> <center_x> <center_y> <zoom>
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Random distribution of points inside a consrained box:
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p2t random <num_points> <box_radius> <zoom>
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Examples:
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./p2t dude.dat 300 500 2
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./p2t nazca_monkey.dat 0 0 9
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./p2t random 10 100 5.0
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./p2t random 1000 20000 0.025
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@ -0,0 +1,101 @@
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Since there are no Input validation of the data given for triangulation you need
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to think about this. Poly2Tri does not support repeat points within epsilon.
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* If you have a cyclic function that generates random points make sure you don't
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add the same coordinate twice.
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* If you are given input and aren't sure same point exist twice you need to
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check for this yourself.
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* Only simple polygons are supported. You may add holes or interior Steiner points
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* Interior holes must not touch other holes, nor touch the polyline boundary
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* Use the library in this order:
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1. Initialize CDT with a simple polyline (this defines the constrained edges)
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2. Add holes if necessary (also simple polylines)
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3. Add Steiner points
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4. Triangulate
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Make sure you understand the preceding notice before posting an issue. If you have
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an issue not covered by the above, include your data-set with the problem.
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The only easy day was yesterday; have a nice day. <Mason Green>
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TESTBED INSTALLATION GUIDE
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==========================
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Dependencies
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------------
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Core poly2tri lib:
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* Standard Template Library (STL)
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Unit tests:
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* Boost (filesystem, test framework)
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Testbed:
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* OpenGL
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* [GLFW](http://glfw.sf.net)
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Build the library
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-----------------
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With the ninja build system installed:
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```
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mkdir build && cd build
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cmake -GNinja ..
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cmake --build .
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```
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Build and run with unit tests
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----------------------------
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With the ninja build system:
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```
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mkdir build && cd build
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cmake -GNinja -DP2T_BUILD_TESTS=ON ..
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cmake --build .
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ctest --output-on-failure
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```
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Build with the testbed
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-----------------
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```
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mkdir build && cd build
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cmake -GNinja -DP2T_BUILD_TESTBED=ON ..
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cmake --build .
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```
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Running the Examples
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--------------------
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Load data points from a file:
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```
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build/testbed/p2t <filename> <center_x> <center_y> <zoom>
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```
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Load data points from a file and automatically fit the geometry to the window:
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```
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build/testbed/p2t <filename>
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```
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Random distribution of points inside a constrained box:
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```
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build/testbed/p2t random <num_points> <box_radius> <zoom>
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```
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Examples:
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```
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build/testbed/p2t testbed/data/dude.dat 350 500 3
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build/testbed/p2t testbed/data/nazca_monkey.dat
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build/testbed/p2t random 10 100 5.0
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build/testbed/p2t random 1000 20000 0.025
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```
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References
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==========
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- Domiter V. and Zalik B. (2008) Sweep‐line algorithm for constrained Delaunay triangulation
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- FlipScan by library author Thomas Åhlén
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![FlipScan](doc/FlipScan.png)
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@ -0,0 +1,59 @@
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/*
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* Poly2Tri Copyright (c) 2009-2022, Poly2Tri Contributors
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* https://github.com/jhasse/poly2tri
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*
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without modification,
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* are permitted provided that the following conditions are met:
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*
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* * Redistributions of source code must retain the above copyright notice,
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* this list of conditions and the following disclaimer.
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* * Redistributions in binary form must reproduce the above copyright notice,
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* this list of conditions and the following disclaimer in the documentation
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* and/or other materials provided with the distribution.
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* * Neither the name of Poly2Tri nor the names of its contributors may be
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* used to endorse or promote products derived from this software without specific
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* prior written permission.
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*
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
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* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
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* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
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* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
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* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
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* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
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* NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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* SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*/
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#pragma once
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#if defined(_WIN32)
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# pragma warning( disable: 4273)
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# define P2T_COMPILER_DLLEXPORT __declspec(dllexport)
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# define P2T_COMPILER_DLLIMPORT __declspec(dllimport)
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#elif defined(__GNUC__)
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# define P2T_COMPILER_DLLEXPORT __attribute__ ((visibility ("default")))
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# define P2T_COMPILER_DLLIMPORT __attribute__ ((visibility ("default")))
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#else
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# define P2T_COMPILER_DLLEXPORT
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# define P2T_COMPILER_DLLIMPORT
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#endif
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// We need to enable shard linkage explicitely
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#ifdef ASSIMP_BUILD_DLL_EXPORT
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# define P2T_SHARED_EXPORTS 1
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#endif
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#ifndef P2T_DLL_SYMBOL
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# if defined(P2T_STATIC_EXPORTS)
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# define P2T_DLL_SYMBOL
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# elif defined(P2T_SHARED_EXPORTS)
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# define P2T_DLL_SYMBOL P2T_COMPILER_DLLEXPORT
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# else
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# define P2T_DLL_SYMBOL P2T_COMPILER_DLLIMPORT
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# endif
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#endif
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/*
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* Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
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* http://code.google.com/p/poly2tri/
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* Poly2Tri Copyright (c) 2009-2018, Poly2Tri Contributors
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* https://github.com/jhasse/poly2tri
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*
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* All rights reserved.
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*
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* SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*/
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#include "shapes.h"
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#include <cassert>
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#include <iostream>
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namespace p2t {
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Point::Point(double x, double y) : x(x), y(y)
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{
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}
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std::ostream& operator<<(std::ostream& out, const Point& point) {
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return out << point.x << "," << point.y;
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}
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Triangle::Triangle(Point& a, Point& b, Point& c)
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{
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points_[0] = &a; points_[1] = &b; points_[2] = &c;
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neighbors_[0] = NULL; neighbors_[1] = NULL; neighbors_[2] = NULL;
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neighbors_[0] = nullptr; neighbors_[1] = nullptr; neighbors_[2] = nullptr;
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constrained_edge[0] = constrained_edge[1] = constrained_edge[2] = false;
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delaunay_edge[0] = delaunay_edge[1] = delaunay_edge[2] = false;
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interior_ = false;
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void Triangle::Clear()
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{
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Triangle *t;
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for( int i=0; i<3; i++ )
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{
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t = neighbors_[i];
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if( t != NULL )
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{
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for (auto& neighbor : neighbors_) {
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t = neighbor;
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if (t != nullptr) {
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t->ClearNeighbor(this);
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}
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}
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ClearNeighbors();
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points_[0]=points_[1]=points_[2] = NULL;
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points_[0]=points_[1]=points_[2] = nullptr;
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}
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void Triangle::ClearNeighbor(const Triangle *triangle )
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{
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if( neighbors_[0] == triangle )
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{
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neighbors_[0] = NULL;
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neighbors_[0] = nullptr;
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}
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else if( neighbors_[1] == triangle )
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{
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neighbors_[1] = NULL;
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neighbors_[1] = nullptr;
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}
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else
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{
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neighbors_[2] = NULL;
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neighbors_[2] = nullptr;
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}
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}
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void Triangle::ClearNeighbors()
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{
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neighbors_[0] = NULL;
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neighbors_[1] = NULL;
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neighbors_[2] = NULL;
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neighbors_[0] = nullptr;
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neighbors_[1] = nullptr;
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neighbors_[2] = nullptr;
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}
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void Triangle::ClearDelunayEdges()
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return points_[1];
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}
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assert(0);
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return NULL;
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return nullptr;
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}
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// The point counter-clockwise to given point
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return points_[0];
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}
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assert(0);
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return NULL;
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return nullptr;
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}
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// The neighbor across to given point
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Triangle* Triangle::NeighborAcross(const Point& point)
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{
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if (&point == points_[0]) {
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return neighbors_[0];
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} else if (&point == points_[1]) {
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return neighbors_[1];
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}
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return neighbors_[2];
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}
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// The neighbor clockwise to given point
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}
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}
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// The neighbor across to given point
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Triangle& Triangle::NeighborAcross(const Point& opoint)
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{
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if (&opoint == points_[0]) {
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return *neighbors_[0];
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} else if (&opoint == points_[1]) {
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return *neighbors_[1];
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}
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return *neighbors_[2];
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}
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void Triangle::DebugPrint()
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{
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using namespace std;
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cout << points_[0]->x << "," << points_[0]->y << " ";
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cout << points_[1]->x << "," << points_[1]->y << " ";
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cout << points_[2]->x << "," << points_[2]->y << endl;
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std::cout << *points_[0] << " " << *points_[1] << " " << *points_[2] << std::endl;
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}
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bool Triangle::CircumcicleContains(const Point& point) const
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{
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assert(IsCounterClockwise());
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const double dx = points_[0]->x - point.x;
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const double dy = points_[0]->y - point.y;
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const double ex = points_[1]->x - point.x;
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const double ey = points_[1]->y - point.y;
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const double fx = points_[2]->x - point.x;
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const double fy = points_[2]->y - point.y;
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const double ap = dx * dx + dy * dy;
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const double bp = ex * ex + ey * ey;
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const double cp = fx * fx + fy * fy;
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return (dx * (fy * bp - cp * ey) - dy * (fx * bp - cp * ex) + ap * (fx * ey - fy * ex)) < 0;
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}
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bool Triangle::IsCounterClockwise() const
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{
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return (points_[1]->x - points_[0]->x) * (points_[2]->y - points_[0]->y) -
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(points_[2]->x - points_[0]->x) * (points_[1]->y - points_[0]->y) >
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0;
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}
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bool IsDelaunay(const std::vector<p2t::Triangle*>& triangles)
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{
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for (const auto triangle : triangles) {
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for (const auto other : triangles) {
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if (triangle == other) {
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continue;
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}
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for (int i = 0; i < 3; ++i) {
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if (triangle->CircumcicleContains(*other->GetPoint(i))) {
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return false;
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}
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}
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}
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}
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return true;
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}
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} // namespace p2t
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@ -1,6 +1,6 @@
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/*
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* Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
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||||
* http://code.google.com/p/poly2tri/
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||||
* Poly2Tri Copyright (c) 2009-2018, Poly2Tri Contributors
|
||||
* https://github.com/jhasse/poly2tri
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||||
*
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||||
* All rights reserved.
|
||||
*
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||||
|
@ -29,22 +29,24 @@
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* SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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||||
*/
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// Include guard
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#ifndef SHAPES_H
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#define SHAPES_H
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#pragma once
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#include <vector>
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#include "dll_symbol.h"
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#include <cmath>
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#include <cstddef>
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#include <stdexcept>
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#include <assert.h>
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#include <cmath>
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#include <string>
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#include <vector>
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#if defined(_WIN32)
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# pragma warning( disable: 4251)
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#endif
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namespace p2t {
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struct Edge;
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struct Point {
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struct P2T_DLL_SYMBOL Point {
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double x, y;
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@ -59,7 +61,7 @@ struct Point {
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std::vector<Edge*> edge_list;
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/// Construct using coordinates.
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Point(double x, double y) : x(x), y(y) {}
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Point(double x, double y);
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/// Set this point to all zeros.
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void set_zero()
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@ -121,8 +123,10 @@ struct Point {
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};
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P2T_DLL_SYMBOL std::ostream& operator<<(std::ostream&, const Point&);
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// Represents a simple polygon's edge
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struct Edge {
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struct P2T_DLL_SYMBOL Edge {
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Point* p, *q;
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|
@ -138,9 +142,7 @@ struct Edge {
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p = &p2;
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} else if (p1.x == p2.x) {
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// Repeat points
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// ASSIMP_CHANGE (aramis_acg)
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throw std::runtime_error(std::string("repeat points"));
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//assert(false);
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throw std::runtime_error("Edge::Edge: p1 == p2");
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}
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}
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|
@ -151,7 +153,7 @@ struct Edge {
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// Triangle-based data structures are know to have better performance than quad-edge structures
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// See: J. Shewchuk, "Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator"
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// "Triangulations in CGAL"
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class Triangle {
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class P2T_DLL_SYMBOL Triangle {
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public:
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/// Constructor
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|
@ -178,6 +180,7 @@ void MarkConstrainedEdge(Point* p, Point* q);
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int Index(const Point* p);
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int EdgeIndex(const Point* p1, const Point* p2);
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Triangle* NeighborAcross(const Point& point);
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Triangle* NeighborCW(const Point& point);
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Triangle* NeighborCCW(const Point& point);
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bool GetConstrainedEdgeCCW(const Point& p);
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|
@ -205,12 +208,14 @@ void ClearDelunayEdges();
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inline bool IsInterior();
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inline void IsInterior(bool b);
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Triangle& NeighborAcross(const Point& opoint);
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void DebugPrint();
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bool CircumcicleContains(const Point&) const;
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private:
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bool IsCounterClockwise() const;
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/// Triangle points
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Point* points_[3];
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/// Neighbor list
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|
@ -258,7 +263,7 @@ inline bool operator ==(const Point& a, const Point& b)
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|
||||
inline bool operator !=(const Point& a, const Point& b)
|
||||
{
|
||||
return !(a.x == b.x) && !(a.y == b.y);
|
||||
return !(a.x == b.x) || !(a.y == b.y);
|
||||
}
|
||||
|
||||
/// Peform the dot product on two vectors.
|
||||
|
@ -322,6 +327,7 @@ inline void Triangle::IsInterior(bool b)
|
|||
interior_ = b;
|
||||
}
|
||||
|
||||
}
|
||||
/// Is this set a valid delaunay triangulation?
|
||||
P2T_DLL_SYMBOL bool IsDelaunay(const std::vector<p2t::Triangle*>&);
|
||||
|
||||
#endif
|
||||
}
|
||||
|
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
|
||||
* http://code.google.com/p/poly2tri/
|
||||
* Poly2Tri Copyright (c) 2009-2018, Poly2Tri Contributors
|
||||
* https://github.com/jhasse/poly2tri
|
||||
*
|
||||
* All rights reserved.
|
||||
*
|
||||
|
@ -29,14 +29,15 @@
|
|||
* SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
|
||||
*/
|
||||
|
||||
#ifndef UTILS_H
|
||||
#define UTILS_H
|
||||
#pragma once
|
||||
|
||||
// Otherwise #defines like M_PI are undeclared under Visual Studio
|
||||
#define _USE_MATH_DEFINES
|
||||
|
||||
#include "shapes.h"
|
||||
|
||||
#include <cmath>
|
||||
#include <exception>
|
||||
#include <math.h>
|
||||
|
||||
// C99 removes M_PI from math.h
|
||||
#ifndef M_PI
|
||||
|
@ -66,7 +67,11 @@ Orientation Orient2d(const Point& pa, const Point& pb, const Point& pc)
|
|||
double detleft = (pa.x - pc.x) * (pb.y - pc.y);
|
||||
double detright = (pa.y - pc.y) * (pb.x - pc.x);
|
||||
double val = detleft - detright;
|
||||
if (val > -EPSILON && val < EPSILON) {
|
||||
|
||||
// Using a tolerance here fails on concave-by-subepsilon boundaries
|
||||
// if (val > -EPSILON && val < EPSILON) {
|
||||
// Using == on double makes -Wfloat-equal warnings yell at us
|
||||
if (std::fpclassify(val) == FP_ZERO) {
|
||||
return COLLINEAR;
|
||||
} else if (val > 0) {
|
||||
return CCW;
|
||||
|
@ -123,5 +128,3 @@ bool InScanArea(const Point& pa, const Point& pb, const Point& pc, const Point&
|
|||
}
|
||||
|
||||
}
|
||||
|
||||
#endif
|
||||
|
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
|
||||
* http://code.google.com/p/poly2tri/
|
||||
* Poly2Tri Copyright (c) 2009-2018, Poly2Tri Contributors
|
||||
* https://github.com/jhasse/poly2tri
|
||||
*
|
||||
* All rights reserved.
|
||||
*
|
||||
|
@ -29,10 +29,7 @@
|
|||
* SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
|
||||
*/
|
||||
|
||||
#ifndef POLY2TRI_H
|
||||
#define POLY2TRI_H
|
||||
#pragma once
|
||||
|
||||
#include "common/shapes.h"
|
||||
#include "sweep/cdt.h"
|
||||
|
||||
#endif
|
||||
|
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
|
||||
* http://code.google.com/p/poly2tri/
|
||||
* Poly2Tri Copyright (c) 2009-2018, Poly2Tri Contributors
|
||||
* https://github.com/jhasse/poly2tri
|
||||
*
|
||||
* All rights reserved.
|
||||
*
|
||||
|
@ -30,6 +30,8 @@
|
|||
*/
|
||||
#include "advancing_front.h"
|
||||
|
||||
#include <cassert>
|
||||
|
||||
namespace p2t {
|
||||
|
||||
AdvancingFront::AdvancingFront(Node& head, Node& tail)
|
||||
|
@ -44,21 +46,21 @@ Node* AdvancingFront::LocateNode(double x)
|
|||
Node* node = search_node_;
|
||||
|
||||
if (x < node->value) {
|
||||
while ((node = node->prev) != NULL) {
|
||||
while ((node = node->prev) != nullptr) {
|
||||
if (x >= node->value) {
|
||||
search_node_ = node;
|
||||
return node;
|
||||
}
|
||||
}
|
||||
} else {
|
||||
while ((node = node->next) != NULL) {
|
||||
while ((node = node->next) != nullptr) {
|
||||
if (x < node->value) {
|
||||
search_node_ = node->prev;
|
||||
return node->prev;
|
||||
}
|
||||
}
|
||||
}
|
||||
return NULL;
|
||||
return nullptr;
|
||||
}
|
||||
|
||||
Node* AdvancingFront::FindSearchNode(double x)
|
||||
|
@ -86,13 +88,13 @@ Node* AdvancingFront::LocatePoint(const Point* point)
|
|||
}
|
||||
}
|
||||
} else if (px < nx) {
|
||||
while ((node = node->prev) != NULL) {
|
||||
while ((node = node->prev) != nullptr) {
|
||||
if (point == node->point) {
|
||||
break;
|
||||
}
|
||||
}
|
||||
} else {
|
||||
while ((node = node->next) != NULL) {
|
||||
while ((node = node->next) != nullptr) {
|
||||
if (point == node->point)
|
||||
break;
|
||||
}
|
||||
|
@ -105,4 +107,4 @@ AdvancingFront::~AdvancingFront()
|
|||
{
|
||||
}
|
||||
|
||||
}
|
||||
} // namespace p2t
|
||||
|
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
|
||||
* http://code.google.com/p/poly2tri/
|
||||
* Poly2Tri Copyright (c) 2009-2018, Poly2Tri Contributors
|
||||
* https://github.com/jhasse/poly2tri
|
||||
*
|
||||
* All rights reserved.
|
||||
*
|
||||
|
@ -29,8 +29,7 @@
|
|||
* SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
|
||||
*/
|
||||
|
||||
#ifndef ADVANCED_FRONT_H
|
||||
#define ADVANCED_FRONT_H
|
||||
#pragma once
|
||||
|
||||
#include "../common/shapes.h"
|
||||
|
||||
|
@ -114,5 +113,3 @@ inline void AdvancingFront::set_search(Node* node)
|
|||
}
|
||||
|
||||
}
|
||||
|
||||
#endif
|
||||
|
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
|
||||
* http://code.google.com/p/poly2tri/
|
||||
* Poly2Tri Copyright (c) 2009-2021, Poly2Tri Contributors
|
||||
* https://github.com/jhasse/poly2tri
|
||||
*
|
||||
* All rights reserved.
|
||||
*
|
||||
|
@ -68,4 +68,4 @@ CDT::~CDT()
|
|||
delete sweep_;
|
||||
}
|
||||
|
||||
}
|
||||
} // namespace p2t
|
||||
|
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
|
||||
* http://code.google.com/p/poly2tri/
|
||||
* Poly2Tri Copyright (c) 2009-2018, Poly2Tri Contributors
|
||||
* https://github.com/jhasse/poly2tri
|
||||
*
|
||||
* All rights reserved.
|
||||
*
|
||||
|
@ -29,13 +29,14 @@
|
|||
* SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
|
||||
*/
|
||||
|
||||
#ifndef CDT_H
|
||||
#define CDT_H
|
||||
#pragma once
|
||||
|
||||
#include "advancing_front.h"
|
||||
#include "sweep_context.h"
|
||||
#include "sweep.h"
|
||||
|
||||
#include "../common/dll_symbol.h"
|
||||
|
||||
/**
|
||||
*
|
||||
* @author Mason Green <mason.green@gmail.com>
|
||||
|
@ -44,7 +45,7 @@
|
|||
|
||||
namespace p2t {
|
||||
|
||||
class CDT
|
||||
class P2T_DLL_SYMBOL CDT
|
||||
{
|
||||
public:
|
||||
|
||||
|
@ -101,5 +102,3 @@ public:
|
|||
};
|
||||
|
||||
}
|
||||
|
||||
#endif
|
||||
|
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
|
||||
* http://code.google.com/p/poly2tri/
|
||||
* Poly2Tri Copyright (c) 2009-2018, Poly2Tri Contributors
|
||||
* https://github.com/jhasse/poly2tri
|
||||
*
|
||||
* All rights reserved.
|
||||
*
|
||||
|
@ -28,24 +28,21 @@
|
|||
* NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
|
||||
* SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
|
||||
*/
|
||||
#include <stdexcept>
|
||||
#include "sweep.h"
|
||||
#include "sweep_context.h"
|
||||
#include "advancing_front.h"
|
||||
#include "../common/utils.h"
|
||||
|
||||
namespace p2t {
|
||||
#include <cassert>
|
||||
#include <stdexcept>
|
||||
|
||||
#ifdef _MSC_VER
|
||||
# pragma warning(push)
|
||||
# pragma warning( disable : 4702 )
|
||||
#endif // _MSC_VER
|
||||
namespace p2t {
|
||||
|
||||
// Triangulate simple polygon with holes
|
||||
void Sweep::Triangulate(SweepContext& tcx)
|
||||
{
|
||||
tcx.InitTriangulation();
|
||||
tcx.CreateAdvancingFront(nodes_);
|
||||
tcx.CreateAdvancingFront();
|
||||
// Sweep points; build mesh
|
||||
SweepPoints(tcx);
|
||||
// Clean up
|
||||
|
@ -57,8 +54,8 @@ void Sweep::SweepPoints(SweepContext& tcx)
|
|||
for (size_t i = 1; i < tcx.point_count(); i++) {
|
||||
Point& point = *tcx.GetPoint(i);
|
||||
Node* node = &PointEvent(tcx, point);
|
||||
for (unsigned int ii = 0; ii < point.edge_list.size(); ii++) {
|
||||
EdgeEvent(tcx, point.edge_list[ii], node);
|
||||
for (auto& j : point.edge_list) {
|
||||
EdgeEvent(tcx, j, node);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
@ -68,17 +65,25 @@ void Sweep::FinalizationPolygon(SweepContext& tcx)
|
|||
// Get an Internal triangle to start with
|
||||
Triangle* t = tcx.front()->head()->next->triangle;
|
||||
Point* p = tcx.front()->head()->next->point;
|
||||
while (!t->GetConstrainedEdgeCW(*p)) {
|
||||
while (t && !t->GetConstrainedEdgeCW(*p)) {
|
||||
t = t->NeighborCCW(*p);
|
||||
}
|
||||
|
||||
// Collect interior triangles constrained by edges
|
||||
if (t) {
|
||||
tcx.MeshClean(*t);
|
||||
}
|
||||
}
|
||||
|
||||
Node& Sweep::PointEvent(SweepContext& tcx, Point& point)
|
||||
{
|
||||
Node& node = tcx.LocateNode(point);
|
||||
Node* node_ptr = tcx.LocateNode(point);
|
||||
if (!node_ptr || !node_ptr->point || !node_ptr->next || !node_ptr->next->point)
|
||||
{
|
||||
throw std::runtime_error("PointEvent - null node");
|
||||
}
|
||||
|
||||
Node& node = *node_ptr;
|
||||
Node& new_node = NewFrontTriangle(tcx, point, node);
|
||||
|
||||
// Only need to check +epsilon since point never have smaller
|
||||
|
@ -111,9 +116,9 @@ void Sweep::EdgeEvent(SweepContext& tcx, Edge* edge, Node* node)
|
|||
|
||||
void Sweep::EdgeEvent(SweepContext& tcx, Point& ep, Point& eq, Triangle* triangle, Point& point)
|
||||
{
|
||||
if (triangle == nullptr)
|
||||
return;
|
||||
|
||||
if (triangle == nullptr) {
|
||||
throw std::runtime_error("EdgeEvent - null triangle");
|
||||
}
|
||||
if (IsEdgeSideOfTriangle(*triangle, ep, eq)) {
|
||||
return;
|
||||
}
|
||||
|
@ -121,17 +126,14 @@ void Sweep::EdgeEvent(SweepContext& tcx, Point& ep, Point& eq, Triangle* triangl
|
|||
Point* p1 = triangle->PointCCW(point);
|
||||
Orientation o1 = Orient2d(eq, *p1, ep);
|
||||
if (o1 == COLLINEAR) {
|
||||
|
||||
|
||||
if (triangle->Contains(&eq, p1)) {
|
||||
triangle->MarkConstrainedEdge(&eq, p1);
|
||||
// We are modifying the constraint maybe it would be better to
|
||||
// not change the given constraint and just keep a variable for the new constraint
|
||||
tcx.edge_event.constrained_edge->q = p1;
|
||||
triangle = &triangle->NeighborAcross(point);
|
||||
triangle = triangle->NeighborAcross(point);
|
||||
EdgeEvent(tcx, ep, *p1, triangle, *p1);
|
||||
} else {
|
||||
// ASSIMP_CHANGE (aramis_acg)
|
||||
throw std::runtime_error("EdgeEvent - collinear points not supported");
|
||||
}
|
||||
return;
|
||||
|
@ -140,18 +142,14 @@ void Sweep::EdgeEvent(SweepContext& tcx, Point& ep, Point& eq, Triangle* triangl
|
|||
Point* p2 = triangle->PointCW(point);
|
||||
Orientation o2 = Orient2d(eq, *p2, ep);
|
||||
if (o2 == COLLINEAR) {
|
||||
|
||||
|
||||
|
||||
if (triangle->Contains(&eq, p2)) {
|
||||
triangle->MarkConstrainedEdge(&eq, p2);
|
||||
// We are modifying the constraint maybe it would be better to
|
||||
// not change the given constraint and just keep a variable for the new constraint
|
||||
tcx.edge_event.constrained_edge->q = p2;
|
||||
triangle = &triangle->NeighborAcross(point);
|
||||
triangle = triangle->NeighborAcross(point);
|
||||
EdgeEvent(tcx, ep, *p2, triangle, *p2);
|
||||
} else {
|
||||
// ASSIMP_CHANGE (aramis_acg)
|
||||
throw std::runtime_error("EdgeEvent - collinear points not supported");
|
||||
}
|
||||
return;
|
||||
|
@ -168,6 +166,7 @@ void Sweep::EdgeEvent(SweepContext& tcx, Point& ep, Point& eq, Triangle* triangl
|
|||
EdgeEvent(tcx, ep, eq, triangle, point);
|
||||
} else {
|
||||
// This triangle crosses constraint so lets flippin start!
|
||||
assert(triangle);
|
||||
FlipEdgeEvent(tcx, ep, eq, triangle, point);
|
||||
}
|
||||
}
|
||||
|
@ -228,7 +227,6 @@ void Sweep::Fill(SweepContext& tcx, Node& node)
|
|||
if (!Legalize(tcx, *triangle)) {
|
||||
tcx.MapTriangleToNodes(*triangle);
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
void Sweep::FillAdvancingFront(SweepContext& tcx, Node& n)
|
||||
|
@ -237,7 +235,7 @@ void Sweep::FillAdvancingFront(SweepContext& tcx, Node& n)
|
|||
// Fill right holes
|
||||
Node* node = n.next;
|
||||
|
||||
while (node->next) {
|
||||
while (node && node->next) {
|
||||
// if HoleAngle exceeds 90 degrees then break.
|
||||
if (LargeHole_DontFill(node)) break;
|
||||
Fill(tcx, *node);
|
||||
|
@ -247,7 +245,7 @@ void Sweep::FillAdvancingFront(SweepContext& tcx, Node& n)
|
|||
// Fill left holes
|
||||
node = n.prev;
|
||||
|
||||
while (node->prev) {
|
||||
while (node && node->prev) {
|
||||
// if HoleAngle exceeds 90 degrees then break.
|
||||
if (LargeHole_DontFill(node)) break;
|
||||
Fill(tcx, *node);
|
||||
|
@ -264,6 +262,35 @@ void Sweep::FillAdvancingFront(SweepContext& tcx, Node& n)
|
|||
}
|
||||
|
||||
// True if HoleAngle exceeds 90 degrees.
|
||||
// LargeHole_DontFill checks if the advancing front has a large hole.
|
||||
// A "Large hole" is a triangle formed by a sequence of points in the advancing
|
||||
// front where three neighbor points form a triangle.
|
||||
// And angle between left-top, bottom, and right-top points is more than 90 degrees.
|
||||
// The first part of the algorithm reviews only three neighbor points, e.g. named A, B, C.
|
||||
// Additional part of this logic reviews a sequence of 5 points -
|
||||
// additionally reviews one point before and one after the sequence of three (A, B, C),
|
||||
// e.g. named X and Y.
|
||||
// In this case, angles are XBC and ABY and this if angles are negative or more
|
||||
// than 90 degrees LargeHole_DontFill returns true.
|
||||
// But there is a configuration when ABC has a negative angle but XBC or ABY is less
|
||||
// than 90 degrees and positive.
|
||||
// Then function LargeHole_DontFill return false and initiates filling.
|
||||
// This filling creates a triangle ABC and adds it to the advancing front.
|
||||
// But in the case when angle ABC is negative this triangle goes inside the advancing front
|
||||
// and can intersect previously created triangles.
|
||||
// This triangle leads to making wrong advancing front and problems in triangulation in the future.
|
||||
// Looks like such a triangle should not be created.
|
||||
// The simplest way to check and fix it is to check an angle ABC.
|
||||
// If it is negative LargeHole_DontFill should return true and
|
||||
// not initiate creating the ABC triangle in the advancing front.
|
||||
// X______A Y
|
||||
// \ /
|
||||
// \ /
|
||||
// \ B /
|
||||
// | /
|
||||
// | /
|
||||
// |/
|
||||
// C
|
||||
bool Sweep::LargeHole_DontFill(const Node* node) const {
|
||||
|
||||
const Node* nextNode = node->next;
|
||||
|
@ -271,20 +298,28 @@ bool Sweep::LargeHole_DontFill(const Node* node) const {
|
|||
if (!AngleExceeds90Degrees(node->point, nextNode->point, prevNode->point))
|
||||
return false;
|
||||
|
||||
if (AngleIsNegative(node->point, nextNode->point, prevNode->point))
|
||||
return true;
|
||||
|
||||
// Check additional points on front.
|
||||
const Node* next2Node = nextNode->next;
|
||||
// "..Plus.." because only want angles on same side as point being added.
|
||||
if ((next2Node != NULL) && !AngleExceedsPlus90DegreesOrIsNegative(node->point, next2Node->point, prevNode->point))
|
||||
if ((next2Node != nullptr) && !AngleExceedsPlus90DegreesOrIsNegative(node->point, next2Node->point, prevNode->point))
|
||||
return false;
|
||||
|
||||
const Node* prev2Node = prevNode->prev;
|
||||
// "..Plus.." because only want angles on same side as point being added.
|
||||
if ((prev2Node != NULL) && !AngleExceedsPlus90DegreesOrIsNegative(node->point, nextNode->point, prev2Node->point))
|
||||
if ((prev2Node != nullptr) && !AngleExceedsPlus90DegreesOrIsNegative(node->point, nextNode->point, prev2Node->point))
|
||||
return false;
|
||||
|
||||
return true;
|
||||
}
|
||||
|
||||
bool Sweep::AngleIsNegative(const Point* origin, const Point* pa, const Point* pb) const {
|
||||
const double angle = Angle(origin, pa, pb);
|
||||
return angle < 0;
|
||||
}
|
||||
|
||||
bool Sweep::AngleExceeds90Degrees(const Point* origin, const Point* pa, const Point* pb) const {
|
||||
const double angle = Angle(origin, pa, pb);
|
||||
return ((angle > PI_div2) || (angle < -PI_div2));
|
||||
|
@ -623,7 +658,6 @@ void Sweep::FillRightConcaveEdgeEvent(SweepContext& tcx, Edge* edge, Node& node)
|
|||
}
|
||||
}
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
void Sweep::FillRightConvexEdgeEvent(SweepContext& tcx, Edge* edge, Node& node)
|
||||
|
@ -704,12 +738,17 @@ void Sweep::FillLeftConcaveEdgeEvent(SweepContext& tcx, Edge* edge, Node& node)
|
|||
}
|
||||
}
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
void Sweep::FlipEdgeEvent(SweepContext& tcx, Point& ep, Point& eq, Triangle* t, Point& p)
|
||||
{
|
||||
Triangle& ot = t->NeighborAcross(p);
|
||||
assert(t);
|
||||
Triangle* ot_ptr = t->NeighborAcross(p);
|
||||
if (ot_ptr == nullptr)
|
||||
{
|
||||
throw std::runtime_error("FlipEdgeEvent - null neighbor across");
|
||||
}
|
||||
Triangle& ot = *ot_ptr;
|
||||
Point& op = *ot.OppositePoint(*t, p);
|
||||
|
||||
if (InScanArea(p, *t->PointCCW(p), *t->PointCW(p), op)) {
|
||||
|
@ -775,10 +814,26 @@ Point& Sweep::NextFlipPoint(Point& ep, Point& eq, Triangle& ot, Point& op)
|
|||
void Sweep::FlipScanEdgeEvent(SweepContext& tcx, Point& ep, Point& eq, Triangle& flip_triangle,
|
||||
Triangle& t, Point& p)
|
||||
{
|
||||
Triangle& ot = t.NeighborAcross(p);
|
||||
Point& op = *ot.OppositePoint(t, p);
|
||||
Triangle* ot_ptr = t.NeighborAcross(p);
|
||||
if (ot_ptr == nullptr) {
|
||||
throw std::runtime_error("FlipScanEdgeEvent - null neighbor across");
|
||||
}
|
||||
|
||||
if (InScanArea(eq, *flip_triangle.PointCCW(eq), *flip_triangle.PointCW(eq), op)) {
|
||||
Point* op_ptr = ot_ptr->OppositePoint(t, p);
|
||||
if (op_ptr == nullptr) {
|
||||
throw std::runtime_error("FlipScanEdgeEvent - null opposing point");
|
||||
}
|
||||
|
||||
Point* p1 = flip_triangle.PointCCW(eq);
|
||||
Point* p2 = flip_triangle.PointCW(eq);
|
||||
if (p1 == nullptr || p2 == nullptr) {
|
||||
throw std::runtime_error("FlipScanEdgeEvent - null on either of points");
|
||||
}
|
||||
|
||||
Triangle& ot = *ot_ptr;
|
||||
Point& op = *op_ptr;
|
||||
|
||||
if (InScanArea(eq, *p1, *p2, op)) {
|
||||
// flip with new edge op->eq
|
||||
FlipEdgeEvent(tcx, eq, op, &ot, op);
|
||||
// TODO: Actually I just figured out that it should be possible to
|
||||
|
@ -797,14 +852,9 @@ void Sweep::FlipScanEdgeEvent(SweepContext& tcx, Point& ep, Point& eq, Triangle&
|
|||
Sweep::~Sweep() {
|
||||
|
||||
// Clean up memory
|
||||
for(size_t i = 0; i < nodes_.size(); i++) {
|
||||
delete nodes_[i];
|
||||
for (auto& node : nodes_) {
|
||||
delete node;
|
||||
}
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
#ifdef _MSC_VER
|
||||
# pragma warning( pop )
|
||||
#endif // _MSC_VER
|
||||
|
||||
}
|
||||
} // namespace p2t
|
||||
|
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
|
||||
* http://code.google.com/p/poly2tri/
|
||||
* Poly2Tri Copyright (c) 2009-2018, Poly2Tri Contributors
|
||||
* https://github.com/jhasse/poly2tri
|
||||
*
|
||||
* All rights reserved.
|
||||
*
|
||||
|
@ -33,11 +33,10 @@
|
|||
* Zalik, B.(2008)'Sweep-line algorithm for constrained Delaunay triangulation',
|
||||
* International Journal of Geographical Information Science
|
||||
*
|
||||
* "FlipScan" Constrained Edge Algorithm invented by Thomas ?hl?n, thahlen@gmail.com
|
||||
* "FlipScan" Constrained Edge Algorithm invented by Thomas Åhlén, thahlen@gmail.com
|
||||
*/
|
||||
|
||||
#ifndef SWEEP_H
|
||||
#define SWEEP_H
|
||||
#pragma once
|
||||
|
||||
#include <vector>
|
||||
|
||||
|
@ -172,6 +171,7 @@ private:
|
|||
// Decision-making about when to Fill hole.
|
||||
// Contributed by ToolmakerSteve2
|
||||
bool LargeHole_DontFill(const Node* node) const;
|
||||
bool AngleIsNegative(const Point* origin, const Point* pa, const Point* pb) const;
|
||||
bool AngleExceeds90Degrees(const Point* origin, const Point* pa, const Point* pb) const;
|
||||
bool AngleExceedsPlus90DegreesOrIsNegative(const Point* origin, const Point* pa, const Point* pb) const;
|
||||
double Angle(const Point* origin, const Point* pa, const Point* pb) const;
|
||||
|
@ -281,5 +281,3 @@ private:
|
|||
};
|
||||
|
||||
}
|
||||
|
||||
#endif
|
||||
|
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
|
||||
* http://code.google.com/p/poly2tri/
|
||||
* Poly2Tri Copyright (c) 2009-2022, Poly2Tri Contributors
|
||||
* https://github.com/jhasse/poly2tri
|
||||
*
|
||||
* All rights reserved.
|
||||
*
|
||||
|
@ -34,13 +34,13 @@
|
|||
|
||||
namespace p2t {
|
||||
|
||||
SweepContext::SweepContext(const std::vector<Point*>& polyline) : points_(polyline),
|
||||
front_(0),
|
||||
head_(0),
|
||||
tail_(0),
|
||||
af_head_(0),
|
||||
af_middle_(0),
|
||||
af_tail_(0)
|
||||
SweepContext::SweepContext(std::vector<Point*> polyline) : points_(std::move(polyline)),
|
||||
front_(nullptr),
|
||||
head_(nullptr),
|
||||
tail_(nullptr),
|
||||
af_head_(nullptr),
|
||||
af_middle_(nullptr),
|
||||
af_tail_(nullptr)
|
||||
{
|
||||
InitEdges(points_);
|
||||
}
|
||||
|
@ -48,8 +48,8 @@ SweepContext::SweepContext(const std::vector<Point*>& polyline) : points_(polyli
|
|||
void SweepContext::AddHole(const std::vector<Point*>& polyline)
|
||||
{
|
||||
InitEdges(polyline);
|
||||
for(unsigned int i = 0; i < polyline.size(); i++) {
|
||||
points_.push_back(polyline[i]);
|
||||
for (auto i : polyline) {
|
||||
points_.push_back(i);
|
||||
}
|
||||
}
|
||||
|
||||
|
@ -73,8 +73,8 @@ void SweepContext::InitTriangulation()
|
|||
double ymax(points_[0]->y), ymin(points_[0]->y);
|
||||
|
||||
// Calculate bounds.
|
||||
for (unsigned int i = 0; i < points_.size(); i++) {
|
||||
Point& p = *points_[i];
|
||||
for (auto& point : points_) {
|
||||
Point& p = *point;
|
||||
if (p.x > xmax)
|
||||
xmax = p.x;
|
||||
if (p.x < xmin)
|
||||
|
@ -87,8 +87,8 @@ void SweepContext::InitTriangulation()
|
|||
|
||||
double dx = kAlpha * (xmax - xmin);
|
||||
double dy = kAlpha * (ymax - ymin);
|
||||
head_ = new Point(xmax + dx, ymin - dy);
|
||||
tail_ = new Point(xmin - dx, ymin - dy);
|
||||
head_ = new Point(xmin - dx, ymin - dy);
|
||||
tail_ = new Point(xmax + dx, ymin - dy);
|
||||
|
||||
// Sort points along y-axis
|
||||
std::sort(points_.begin(), points_.end(), cmp);
|
||||
|
@ -114,18 +114,17 @@ void SweepContext::AddToMap(Triangle* triangle)
|
|||
map_.push_back(triangle);
|
||||
}
|
||||
|
||||
Node& SweepContext::LocateNode(const Point& point)
|
||||
Node* SweepContext::LocateNode(const Point& point)
|
||||
{
|
||||
// TODO implement search tree
|
||||
return *front_->LocateNode(point.x);
|
||||
return front_->LocateNode(point.x);
|
||||
}
|
||||
|
||||
void SweepContext::CreateAdvancingFront(const std::vector<Node*>& nodes)
|
||||
void SweepContext::CreateAdvancingFront()
|
||||
{
|
||||
|
||||
(void) nodes;
|
||||
// Initial triangle
|
||||
Triangle* triangle = new Triangle(*points_[0], *tail_, *head_);
|
||||
Triangle* triangle = new Triangle(*points_[0], *head_, *tail_);
|
||||
|
||||
map_.push_back(triangle);
|
||||
|
||||
|
@ -172,7 +171,7 @@ void SweepContext::MeshClean(Triangle& triangle)
|
|||
Triangle *t = triangles.back();
|
||||
triangles.pop_back();
|
||||
|
||||
if (t != NULL && !t->IsInterior()) {
|
||||
if (t != nullptr && !t->IsInterior()) {
|
||||
t->IsInterior(true);
|
||||
triangles_.push_back(t);
|
||||
for (int i = 0; i < 3; i++) {
|
||||
|
@ -195,17 +194,13 @@ SweepContext::~SweepContext()
|
|||
delete af_middle_;
|
||||
delete af_tail_;
|
||||
|
||||
typedef std::list<Triangle*> type_list;
|
||||
|
||||
for(type_list::iterator iter = map_.begin(); iter != map_.end(); ++iter) {
|
||||
Triangle* ptr = *iter;
|
||||
for (auto ptr : map_) {
|
||||
delete ptr;
|
||||
}
|
||||
|
||||
for(unsigned int i = 0; i < edge_list.size(); i++) {
|
||||
delete edge_list[i];
|
||||
for (auto& i : edge_list) {
|
||||
delete i;
|
||||
}
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
}
|
||||
} // namespace p2t
|
||||
|
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
|
||||
* http://code.google.com/p/poly2tri/
|
||||
* Poly2Tri Copyright (c) 2009-2022, Poly2Tri Contributors
|
||||
* https://github.com/jhasse/poly2tri
|
||||
*
|
||||
* All rights reserved.
|
||||
*
|
||||
|
@ -29,8 +29,7 @@
|
|||
* SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
|
||||
*/
|
||||
|
||||
#ifndef SWEEP_CONTEXT_H
|
||||
#define SWEEP_CONTEXT_H
|
||||
#pragma once
|
||||
|
||||
#include <list>
|
||||
#include <vector>
|
||||
|
@ -52,7 +51,7 @@ class SweepContext {
|
|||
public:
|
||||
|
||||
/// Constructor
|
||||
SweepContext(const std::vector<Point*>& polyline);
|
||||
explicit SweepContext(std::vector<Point*> polyline);
|
||||
/// Destructor
|
||||
~SweepContext();
|
||||
|
||||
|
@ -66,11 +65,11 @@ Point* tail() const;
|
|||
|
||||
size_t point_count() const;
|
||||
|
||||
Node& LocateNode(const Point& point);
|
||||
Node* LocateNode(const Point& point);
|
||||
|
||||
void RemoveNode(Node* node);
|
||||
|
||||
void CreateAdvancingFront(const std::vector<Node*>& nodes);
|
||||
void CreateAdvancingFront();
|
||||
|
||||
/// Try to map a node to all sides of this triangle that don't have a neighbor
|
||||
void MapTriangleToNodes(Triangle& t);
|
||||
|
@ -103,15 +102,16 @@ struct Basin {
|
|||
double width;
|
||||
bool left_highest;
|
||||
|
||||
Basin() : left_node(NULL), bottom_node(NULL), right_node(NULL), width(0.0), left_highest(false)
|
||||
Basin()
|
||||
: left_node(nullptr), bottom_node(nullptr), right_node(nullptr), width(0.0), left_highest(false)
|
||||
{
|
||||
}
|
||||
|
||||
void Clear()
|
||||
{
|
||||
left_node = NULL;
|
||||
bottom_node = NULL;
|
||||
right_node = NULL;
|
||||
left_node = nullptr;
|
||||
bottom_node = nullptr;
|
||||
right_node = nullptr;
|
||||
width = 0.0;
|
||||
left_highest = false;
|
||||
}
|
||||
|
@ -182,5 +182,3 @@ inline Point* SweepContext::tail() const
|
|||
}
|
||||
|
||||
}
|
||||
|
||||
#endif
|
||||
|
|
Loading…
Reference in New Issue