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CGAL 4.7 - 2D Circular Geometry Kernel
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Classes | Functions
CGAL Namespace Reference

Classes

class  Algebraic_kernel_for_circles_2_2
 
class  Circular_arc_2
 
class  Circular_arc_point_2
 
class  Circular_kernel_2
 
class  Exact_circular_kernel_2
 A typedef to a circular kernel that provides both exact geometric predicates and exact geometric constructions. More...
 
class  Line_arc_2
 
class  Polynomial_1_2
 
class  Polynomial_for_circles_2_2
 
class  Root_for_circles_2_2
 

Functions

bool has_in_x_range (const Circular_arc_2< CircularKernel > &ca, const Circular_arc_point_2< CircularKernel > &p)
 Checks whether the point lies in the vertical range defined by the arc.
 
bool has_in_x_range (const Line_arc_2< CircularKernel > &ca, const Circular_arc_point_2< CircularKernel > &p)
 Checks whether the point lies in the vertical range defined by the line segment.
 
bool has_on (const Circle_2< CircularKernel > &c, const Circular_arc_point_2< CircularKernel > &p)
 Checks whether the point lies on the circle.
 
template<class OutputIterator >
OutputIterator make_x_monotone (const Circular_arc_2< CircularKernel > &ca, OutputIterator res)
 Copies in the output iterator the x-monotone sub-arcs of ca.
 
template<class OutputIterator >
OutputIterator make_xy_monotone (const Circular_arc_2< CircularKernel > &ca, OutputIterator res)
 Copies in the output iterator the xy-monotone sub-arcs of ca.
 
Circular_arc_point_2
< CircularKernel > 		x_extremal_point (const Circle_2< CircularKernel > &c, bool b)
 Returns the leftmost (resp. rightmost) point of the circle if b is true (resp. false).
 
template<class OutputIterator >
OutputIterator x_extremal_points (const Circle_2< CircularKernel > &c, OutputIterator res)
 Copies in the output iterator the x-extremal points of the circle. More...
 
Circular_arc_point_2
< CircularKernel > 		y_extremal_point (const Circle_2< CircularKernel > &c, bool b)
 Returns the bottommost (resp. topmost) point of the circle if b is true (resp. false).
 
template<class OutputIterator >
OutputIterator y_extremal_points (const Circle_2< CircularKernel > &c, OutputIterator res)
 Copies in the output iterator the y-extremal points of the circle. More...
 
CGAL::Comparison_result compare_y_to_right (const Circular_arc_2< CircularKernel > &ca1, const Circular_arc_2< CircularKernel > &ca2, Circular_arc_point_2< CircularKernel > &p)
 Compares vertically the two arcs, to the right of the point p,. More...