Fixed wrong implementation of concave_points() and convex_points() in C++. #2384
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7 changed files with 53 additions and 18 deletions
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@ -17,6 +17,8 @@ class MultiPoint
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Points points;
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operator Points() const;
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MultiPoint() {};
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explicit MultiPoint(const Points &_points): points(_points) {};
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void scale(double factor);
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void translate(double x, double y);
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void translate(const Point &vector);
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@ -160,6 +160,13 @@ Point::ccw(const Line &line) const
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return this->ccw(line.a, line.b);
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}
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// returns the CCW angle between this-p1 and this-p2
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double
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Point::ccw_angle(const Point &p1, const Point &p2) const
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{
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return Line(*this, p1).orientation() - Line(*this, p2).orientation();
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}
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Point
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Point::projection_onto(const MultiPoint &poly) const
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{
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@ -48,6 +48,7 @@ class Point
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double distance_to(const Line &line) const;
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double ccw(const Point &p1, const Point &p2) const;
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double ccw(const Line &line) const;
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double ccw_angle(const Point &p1, const Point &p2) const;
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Point projection_onto(const MultiPoint &poly) const;
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Point projection_onto(const Line &line) const;
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Point negative() const;
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@ -158,8 +158,12 @@ Polygon::contains(const Point &point) const
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Polygons
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Polygon::simplify(double tolerance) const
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{
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Polygon p = *this;
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p.points = MultiPoint::_douglas_peucker(p.points, tolerance);
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// repeat first point at the end in order to apply Douglas-Peucker
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// on the whole polygon
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Points points = this->points;
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points.push_back(points.front());
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Polygon p(MultiPoint::_douglas_peucker(points, tolerance));
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p.points.pop_back();
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Polygons pp;
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pp.push_back(p);
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@ -225,21 +229,17 @@ Polygon::wkt() const
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void
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Polygon::concave_points(double angle, Points* points) const
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{
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/* input angle threshold is checked on the internal side of the polygon
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but ccw() returns 0 for collinear, >0 for ccw and <0 for cw */
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double ccw_angle = angle - PI;
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// check whether first point forms a concave angle
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if (this->points.front().ccw(this->points.back(), *(this->points.begin()+1)) >= ccw_angle)
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if (this->points.front().ccw_angle(this->points.back(), *(this->points.begin()+1)) >= angle)
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points->push_back(this->points.front());
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// check whether points 1..(n-1) form concave angles
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for (Points::const_iterator p = this->points.begin()+1; p != this->points.end()-1; ++p) {
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if (p->ccw(*(p-1), *(p+1)) >= ccw_angle) points->push_back(*p);
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if (p->ccw_angle(*(p-1), *(p+1)) >= angle) points->push_back(*p);
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}
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// check whether last point forms a concave angle
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if (this->points.back().ccw(*(this->points.end()-2), this->points.front()) >= ccw_angle)
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if (this->points.back().ccw_angle(*(this->points.end()-2), this->points.front()) >= angle)
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points->push_back(this->points.back());
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}
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@ -252,21 +252,17 @@ Polygon::concave_points(Points* points) const
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void
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Polygon::convex_points(double angle, Points* points) const
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{
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/* input angle threshold is checked on the internal side of the polygon
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but ccw() returns 0 for collinear, >0 for ccw and <0 for cw */
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double ccw_angle = angle - PI;
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// check whether first point forms a convex angle
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if (this->points.front().ccw(this->points.back(), *(this->points.begin()+1)) <= ccw_angle)
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if (this->points.front().ccw_angle(this->points.back(), *(this->points.begin()+1)) <= angle)
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points->push_back(this->points.front());
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// check whether points 1..(n-1) form convex angles
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for (Points::const_iterator p = this->points.begin()+1; p != this->points.end()-1; ++p) {
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if (p->ccw(*(p-1), *(p+1)) <= ccw_angle) points->push_back(*p);
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if (p->ccw_angle(*(p-1), *(p+1)) <= angle) points->push_back(*p);
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}
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// check whether last point forms a convex angle
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if (this->points.back().ccw(*(this->points.end()-2), this->points.front()) <= ccw_angle)
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if (this->points.back().ccw_angle(*(this->points.end()-2), this->points.front()) <= angle)
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points->push_back(this->points.back());
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}
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@ -19,6 +19,9 @@ class Polygon : public MultiPoint {
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operator Polyline() const;
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Point& operator[](Points::size_type idx);
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const Point& operator[](Points::size_type idx) const;
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Polygon() {};
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explicit Polygon(const Points &points): MultiPoint(points) {};
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Point last_point() const;
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Lines lines() const;
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void lines(Lines* lines) const;
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