\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.14.2 - 2D Arrangements
CGAL::Arr_algebraic_segment_traits_2< Coefficient >::Construct_point_2 Class Reference

#include <CGAL/Arr_algebraic_segment_traits_2.h>

Object Creation Functors

Point_2 operator() (Algebraic_real_1 x, Curve_2 cv, int arcno)
 Returns a Point_2 object that represents the arcno-th point in the fiber of cv at \( x\)-coordinate x, counted from the bottom, starting with zero. More...
 
Point_2 operator() (Algebraic_real_1 x, X_monotone_curve_2 xcv)
 Returns a Point_2 object that represents the point on xcv at \( x\)-coordinate x More...
 
Point_2 operator() (Algebraic_real_1 x, Algebraic_real_1 y)
 Returns a Point_2 object that represents (x,y)
 
Point_2 operator() (Coefficient x, Coefficient y)
 Returns a Point_2 object that represents (x,y)
 
Point_2 operator() (Bound x, Bound y)
 Returns a Point_2 object that represents (x,y)
 
Point_2 operator() (int x, int y)
 Returns a Point_2 object that represents (x,y)
 

Member Function Documentation

◆ operator()() [1/2]

template<typename Coefficient >
Point_2 CGAL::Arr_algebraic_segment_traits_2< Coefficient >::Construct_point_2::operator() ( Algebraic_real_1  x,
Curve_2  cv,
int  arcno 
)

Returns a Point_2 object that represents the arcno-th point in the fiber of cv at \( x\)-coordinate x, counted from the bottom, starting with zero.

Precondition
(cv must not have a vertical line at x, and \( 0\leq arcno < c\), where \( c\) is the number of points in the fiber of cv at x.)

◆ operator()() [2/2]

template<typename Coefficient >
Point_2 CGAL::Arr_algebraic_segment_traits_2< Coefficient >::Construct_point_2::operator() ( Algebraic_real_1  x,
X_monotone_curve_2  xcv 
)

Returns a Point_2 object that represents the point on xcv at \( x\)-coordinate x

Precondition
(x is in the \( x\)-range of xcv.)