CGAL 4.14 - 2D Circular Geometry Kernel
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#include <CGAL/Circular_arc_2.h>
Related Functions | |
(Note that these are not member functions.) | |
bool | operator== (const Circular_arc_2< CircularKernel > &ca1, const Circular_arc_2< CircularKernel > &ca2) |
Test for equality. More... | |
bool | operator!= (const Circular_arc_2< CircularKernel > &ca1, const Circular_arc_2< CircularKernel > &ca2) |
Test for non-equality. | |
istream & | operator>> (std::istream &is, Circular_arc_2 &ca) |
ostream & | operator<< (std::ostream &os, const Circular_arc_2 &ca) |
Creation | |
Circular_arc_2 (const Circle_2< CircularKernel > &c) | |
Constructs an arc from a full circle. | |
Circular_arc_2 (const Circle_2< CircularKernel > &c, const Circular_arc_point_2< CircularKernel > &p, const Circular_arc_point_2< CircularKernel > &q) | |
Constructs the circular arc supported by c , whose source is p and whose target is q when traversing the circle in counterclockwise direction. More... | |
Circular_arc_2 (const Point_2< CircularKernel > &p, const Point_2< CircularKernel > &q, const Point_2< CircularKernel > &r) | |
Constructs an arc that is supported by the circle of type Circle_2<CircularKernel> passing through the points p , q and r . More... | |
Access Functions | |
Circle_2< CircularKernel > | supporting_circle () |
Point_2< CircularKernel > const & | center () const |
returns the center of the supporting circle. | |
CircularKernel::FT const & | squared_radius () const |
returns the squared radius of the supporting circle. | |
A circular arc is not oriented. Still, its source and target endpoints can be defined, supposing that its supporting circle in traversed the counterclockwise direction from | |
Circular_arc_point_2< CircularKernel > | source () |
Circular_arc_point_2< CircularKernel > | target () |
When the methods When an arc is x-monotone, its left and right points can be accessed directly: | |
Circular_arc_point_2< CircularKernel > | left () |
Circular_arc_point_2< CircularKernel > | right () |
Bbox_2 | bbox () const |
Returns a bounding box containing the arc. | |
Query Functions | |
bool | is_x_monotone () |
Tests whether the arc is x-monotone. | |
bool | is_y_monotone () |
Tests whether the arc is y-monotone. | |
CGAL::Circular_arc_2< CircularKernel >::Circular_arc_2 | ( | const Circle_2< CircularKernel > & | c, |
const Circular_arc_point_2< CircularKernel > & | p, | ||
const Circular_arc_point_2< CircularKernel > & | q | ||
) |
Constructs the circular arc supported by c
, whose source is p
and whose target is q
when traversing the circle in counterclockwise direction.
p
and q
lie on c
. CGAL::Circular_arc_2< CircularKernel >::Circular_arc_2 | ( | const Point_2< CircularKernel > & | p, |
const Point_2< CircularKernel > & | q, | ||
const Point_2< CircularKernel > & | r | ||
) |
Constructs an arc that is supported by the circle of type Circle_2<CircularKernel>
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. Circular_arc_point_2<CircularKernel> CGAL::Circular_arc_2< CircularKernel >::left | ( | ) |
ca
.is_x_monotone()
. Circular_arc_point_2<CircularKernel> CGAL::Circular_arc_2< CircularKernel >::right | ( | ) |
ca
.is_x_monotone()
.
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related |
Test for equality.
Two arcs are equal, iff their non-oriented supporting circles are equal (i.e. they have same center and same squared radius) and their endpoints are equal.