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CGAL 6.0 - 2D Circular Geometry Kernel
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Operations | |
A model of this concept must provide: | |
| CircularKernel::Circular_arc_2 | operator() (const CircularKernel::Circle_2 &c) |
| Constructs an arc from a full circle. | |
| CircularKernel::Circular_arc_2 | operator() (const CircularKernel::Circle_2 &c, const CircularKernel::Circular_arc_point_2 &p1, const CircularKernel::Circular_arc_point_2 &p2) |
Construct the circular arc supported by c, whose source is p1 and whose target is p2 when traversing the circle in counterclockwise direction. | |
| CircularKernel::Circular_arc_2 | operator() (const CircularKernel::Circle_2 &c, const CircularKernel::Circle_2 &c1, bool b1, const CircularKernel::Circle_2 &c2, bool b2) |
Constructs the unique circular arc whose supporting circle is c, and whose source is the intersection of c and c1 with index b1, and whose target is the intersection of c and c2 of index b2, where intersections are ordered lexicographically, and when traversing the circle in counterclockwise direction. | |
| CircularKernel::Circular_arc_2 | operator() (const CircularKernel::Circle_2 &c, const CircularKernel::Line_2 &l1, bool b1, const CircularKernel::Line_2 &l2, bool b2) |
| Same, for intersections defined by lines instead of circles. | |
| CircularKernel::Circular_arc_2 | operator() (const CircularKernel::Point_2 &p, const CircularKernel::Point_2 &q, const CircularKernel::Point_2 &r) |
Constructs an arc that is supported by the circle of type CircularKernel::Circle_2 passing through the points p, q and r. | |
| CircularKernel::Circular_arc_2 CircularKernel::ConstructCircularArc_2::operator() | ( | const CircularKernel::Circle_2 & | c, |
| const CircularKernel::Circle_2 & | c1, | ||
| bool | b1, | ||
| const CircularKernel::Circle_2 & | c2, | ||
| bool | b2 | ||
| ) |
Constructs the unique circular arc whose supporting circle is c, and whose source is the intersection of c and c1 with index b1, and whose target is the intersection of c and c2 of index b2, where intersections are ordered lexicographically, and when traversing the circle in counterclockwise direction.
c intersects both c1 and c2, and the arc defined by the intersections has non-zero length. | CircularKernel::Circular_arc_2 CircularKernel::ConstructCircularArc_2::operator() | ( | const CircularKernel::Circle_2 & | c, |
| const CircularKernel::Circular_arc_point_2 & | p1, | ||
| const CircularKernel::Circular_arc_point_2 & | p2 | ||
| ) |
Construct the circular arc supported by c, whose source is p1 and whose target is p2 when traversing the circle in counterclockwise direction.
p1 and p2 lie on c. | CircularKernel::Circular_arc_2 CircularKernel::ConstructCircularArc_2::operator() | ( | const CircularKernel::Point_2 & | p, |
| const CircularKernel::Point_2 & | q, | ||
| const CircularKernel::Point_2 & | r | ||
| ) |
Constructs an arc that is supported by the circle of type CircularKernel::Circle_2 passing through the points p, q and r.
The source and target are respectively p and r, when traversing the supporting circle in the counterclockwise direction. Note that, depending on the orientation of the point triple (p,q,r), q may not lie on the arc.
p, q, and r are not collinear.