CGAL 6.0.1 - 2D Arrangements
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AdaptableFunctor
Operations | |
A model of this concept must provide: | |
Comparison_result | operator() (const ArrTraits::Point_2 &p, const ArrTraits::X_monotone_curve_2 &xcv, CGAL::Arr_curve_end ce) |
Given a point p , an x-monotone curve xcv , and an enumeration ce that specifies either the minimum or the maximum end of the curve where the curve has a vertical asymptote, compares the
x-coordinate of p and the x-coordinate of the limit of the curve at its specified end. | |
Comparison_result | operator() (const ArrTraits::X_monotone_curve_2 &xcv1, CGAL::Arr_curve_end ce1, const ArrTraits::X_monotone_curve_2 &xcv2, CGAL::Arr_curve_end ce2) |
Given two x-monotone curves xcv1 and xcv2 and two indices ce1 and ce2 that specify either the minimum or the maximum ends of xcv1 and xcv2 , respectively, where the curves have vertical asymptotes, compares the x-coordinates of the limits of the curves at their specified ends. | |
Comparison_result ArrTraits::CompareXOnBoundaryOfCurveEnd_2::operator() | ( | const ArrTraits::Point_2 & | p, |
const ArrTraits::X_monotone_curve_2 & | xcv, | ||
CGAL::Arr_curve_end | ce | ||
) |
Given a point p
, an x-monotone curve xcv
, and an enumeration ce
that specifies either the minimum or the maximum end of the curve where the curve has a vertical asymptote, compares the
x-coordinate of p
and the x-coordinate of the limit of the curve at its specified end.
The variable xcv
identifies the parametric curve c(t) = (x(t), y(t)) defined over an open or half-open interval with endpoints 0 and 1. The enumeration ce
identifies an open end d \in\{0,1\} of c. Formally, compares the
x-coordinate of p
and \lim_{t \rightarrow d} x(t). Returns CGAL::SMALLER
, CGAL::EQUAL
, or CGAL::LARGER
accordingly.
Parameter_space_in_y_2
(xcv
, ce
) \neq CGAL::ARR_INTERIOR
.Parameter_space_in_x_2
(xcv
, ce
) = CGAL::ARR_INTERIOR
. Comparison_result ArrTraits::CompareXOnBoundaryOfCurveEnd_2::operator() | ( | const ArrTraits::X_monotone_curve_2 & | xcv1, |
CGAL::Arr_curve_end | ce1, | ||
const ArrTraits::X_monotone_curve_2 & | xcv2, | ||
CGAL::Arr_curve_end | ce2 | ||
) |
Given two x-monotone curves xcv1
and xcv2
and two indices ce1
and ce2
that specify either the minimum or the maximum ends of xcv1
and xcv2
, respectively, where the curves have vertical asymptotes, compares the x-coordinates of the limits of the curves at their specified ends.
The variables xcv1
and xcv2
identify the parametric curves
c_1(t) = (x_1(t),y_1(t)) and c_2(t) = (x_2(t),y_2(t)), respectively, defined over open or half-open intervals with endpoints
0 and 1. The indices ce1
and ce2
identify open ends d_1
\in\{0,1\} and d_2 \in\{0,1\} of c_1 and c_2, respectively. Formally, compares \lim_{t \rightarrow d_1} x_1(t) and \lim_{t \rightarrow d_2} x_2(t). Returns CGAL::SMALLER
, CGAL::EQUAL
, or CGAL::LARGER
accordingly.
Parameter_space_in_y_2
(xcv1
, ce1
) \neq CGAL::ARR_INTERIOR
.Parameter_space_in_y_2
(xcv2
, ce2
) \neq CGAL::ARR_INTERIOR
.Parameter_space_in_x_2
(xcv1
, ce1
) = CGAL::ARR_INTERIOR
.Parameter_space_in_x_2
(xcv2
, ce2
) = CGAL::ARR_INTERIOR
.