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author | saurabhb17 | 2020-02-26 16:36:01 +0530 |
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committer | saurabhb17 | 2020-02-26 16:36:01 +0530 |
commit | 1fa449fed953fa11f6bd0ea82cc2d3b115ee0781 (patch) | |
tree | ad18839d8b4eb1f13419d07878cc4ec4c9b70032 /polygon/poly2tri/common/shapes.h | |
parent | c38609295ad4b617aef472b9c575aee18710a50f (diff) | |
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-rw-r--r-- | polygon/poly2tri/common/shapes.h | 351 |
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diff --git a/polygon/poly2tri/common/shapes.h b/polygon/poly2tri/common/shapes.h new file mode 100644 index 0000000..c65f485 --- /dev/null +++ b/polygon/poly2tri/common/shapes.h @@ -0,0 +1,351 @@ +/* + * Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors + * http://code.google.com/p/poly2tri/ + * + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without modification, + * are permitted provided that the following conditions are met: + * + * * Redistributions of source code must retain the above copyright notice, + * this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright notice, + * this list of conditions and the following disclaimer in the documentation + * and/or other materials provided with the distribution. + * * Neither the name of Poly2Tri nor the names of its contributors may be + * used to endorse or promote products derived from this software without specific + * prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS + * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT + * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR + * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF + * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING + * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS + * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + */ + +// Include guard +#ifndef SHAPES_H +#define SHAPES_H + +#include <vector> +#include <cstddef> +#include <assert.h> +#include <cmath> + +namespace p2t { +struct Edge; + +struct Point +{ + double x, y; + + /// Default constructor does nothing (for performance). + Point() + { + x = 0.0; + y = 0.0; + } + + /// The edges this point constitutes an upper ending point + std::vector<Edge*> edge_list; + + /// Construct using coordinates. + Point( double x, double y ) : x( x ), y( y ) {} + + /// Set this point to all zeros. + void set_zero() + { + x = 0.0; + y = 0.0; + } + + /// Set this point to some specified coordinates. + void set( double x_, double y_ ) + { + x = x_; + y = y_; + } + + /// Negate this point. + Point operator -() const + { + Point v; + + v.set( -x, -y ); + return v; + } + + /// Add a point to this point. + void operator +=( const Point& v ) + { + x += v.x; + y += v.y; + } + + /// Subtract a point from this point. + void operator -=( const Point& v ) + { + x -= v.x; + y -= v.y; + } + + /// Multiply this point by a scalar. + void operator *=( double a ) + { + x *= a; + y *= a; + } + + /// Get the length of this point (the norm). + double Length() const + { + return sqrt( x * x + y * y ); + } + + /// Convert this point into a unit point. Returns the Length. + double Normalize() + { + double len = Length(); + + x /= len; + y /= len; + return len; + } +}; + +// Represents a simple polygon's edge +struct Edge +{ + Point* p, * q; + + /// Constructor + Edge( Point& p1, Point& p2 ) : p( &p1 ), q( &p2 ) + { + if( p1.y > p2.y ) + { + q = &p1; + p = &p2; + } + else if( p1.y == p2.y ) + { + if( p1.x > p2.x ) + { + q = &p1; + p = &p2; + } + else if( p1.x == p2.x ) + { + // Repeat points + assert( false ); + } + } + + q->edge_list.push_back( this ); + } +}; + +// Triangle-based data structures are know to have better performance than quad-edge structures +// See: J. Shewchuk, "Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator" +// "Triangulations in CGAL" +class Triangle +{ +public: + +/// Constructor + Triangle( Point& a, Point& b, Point& c ); + +/// Flags to determine if an edge is a Constrained edge + bool constrained_edge[3]; +/// Flags to determine if an edge is a Delauney edge + bool delaunay_edge[3]; + + Point* GetPoint( const int& index ); + Point* PointCW( Point& point ); + Point* PointCCW( Point& point ); + Point* OppositePoint( Triangle& t, Point& p ); + + Triangle* GetNeighbor( const int& index ); + void MarkNeighbor( Point* p1, Point* p2, Triangle* t ); + void MarkNeighbor( Triangle& t ); + + void MarkConstrainedEdge( const int index ); + void MarkConstrainedEdge( Edge& edge ); + void MarkConstrainedEdge( Point* p, Point* q ); + + int Index( const Point* p ); + int EdgeIndex( const Point* p1, const Point* p2 ); + + Triangle* NeighborCW( Point& point ); + Triangle* NeighborCCW( Point& point ); + bool GetConstrainedEdgeCCW( Point& p ); + bool GetConstrainedEdgeCW( Point& p ); + void SetConstrainedEdgeCCW( Point& p, bool ce ); + void SetConstrainedEdgeCW( Point& p, bool ce ); + bool GetDelunayEdgeCCW( Point& p ); + bool GetDelunayEdgeCW( Point& p ); + void SetDelunayEdgeCCW( Point& p, bool e ); + void SetDelunayEdgeCW( Point& p, bool e ); + + bool Contains( Point* p ); + bool Contains( const Edge& e ); + bool Contains( Point* p, Point* q ); + void Legalize( Point& point ); + void Legalize( Point& opoint, Point& npoint ); + +/** + * Clears all references to all other triangles and points + */ + void Clear(); + void ClearNeighbor( Triangle* triangle ); + void ClearNeighbors(); + void ClearDelunayEdges(); + + inline bool IsInterior(); + inline void IsInterior( bool b ); + + Triangle& NeighborAcross( Point& opoint ); + + void DebugPrint(); + +private: + +/// Triangle points + Point* points_[3]; +/// Neighbor list + Triangle* neighbors_[3]; + +/// Has this triangle been marked as an interior triangle? + bool interior_; +}; + +inline bool cmp( const Point* a, const Point* b ) +{ + if( a->y < b->y ) + { + return true; + } + else if( a->y == b->y ) + { + // Make sure q is point with greater x value + if( a->x < b->x ) + { + return true; + } + } + + return false; +} + + +/// Add two points_ component-wise. +inline Point operator +( const Point& a, const Point& b ) +{ + return Point( a.x + b.x, a.y + b.y ); +} + + +/// Subtract two points_ component-wise. +inline Point operator -( const Point& a, const Point& b ) +{ + return Point( a.x - b.x, a.y - b.y ); +} + + +/// Multiply point by scalar +inline Point operator *( double s, const Point& a ) +{ + return Point( s * a.x, s * a.y ); +} + + +inline bool operator ==( const Point& a, const Point& b ) +{ + return a.x == b.x && a.y == b.y; +} + + +inline bool operator !=( const Point& a, const Point& b ) +{ + return !(a.x == b.x) && !(a.y == b.y); +} + + +/// Peform the dot product on two vectors. +inline double Dot( const Point& a, const Point& b ) +{ + return a.x * b.x + a.y * b.y; +} + + +/// Perform the cross product on two vectors. In 2D this produces a scalar. +inline double Cross( const Point& a, const Point& b ) +{ + return a.x * b.y - a.y * b.x; +} + + +/// Perform the cross product on a point and a scalar. In 2D this produces +/// a point. +inline Point Cross( const Point& a, double s ) +{ + return Point( s * a.y, -s * a.x ); +} + + +/// Perform the cross product on a scalar and a point. In 2D this produces +/// a point. +inline Point Cross( const double s, const Point& a ) +{ + return Point( -s * a.y, s * a.x ); +} + + +inline Point* Triangle::GetPoint( const int& index ) +{ + return points_[index]; +} + + +inline Triangle* Triangle::GetNeighbor( const int& index ) +{ + return neighbors_[index]; +} + + +inline bool Triangle::Contains( Point* p ) +{ + return p == points_[0] || p == points_[1] || p == points_[2]; +} + + +inline bool Triangle::Contains( const Edge& e ) +{ + return Contains( e.p ) && Contains( e.q ); +} + + +inline bool Triangle::Contains( Point* p, Point* q ) +{ + return Contains( p ) && Contains( q ); +} + + +inline bool Triangle::IsInterior() +{ + return interior_; +} + + +inline void Triangle::IsInterior( bool b ) +{ + interior_ = b; +} +} + +#endif |