CGAL 5.5 - 2D Arrangements
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Operations | |
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 specificed end. More... | |
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 specificed ends. More... | |
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 specificed 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 specificed 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
.