CGAL 4.5 - 2D Arrangements
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Operations | |
Comparison_result | operator() (const ArrTraits::Point_2 &p, const ArrTraits::X_monotone_curve_2 &xcv, 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, Arr_curve_end ce1, const ArrTraits::X_monotone_curve_2 &xcv2, 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::CompareXAtLimit_2::operator() | ( | const ArrTraits::Point_2 & | p, |
const ArrTraits::X_monotone_curve_2 & | xcv, | ||
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∈{0,1} of C. Formally, compares the x-coordinate of p
and limt→dX(t). Returns SMALLER
, EQUAL
, or LARGER
accordingly.
parameter_space_in_y_2
(xcv
, ce
) ≠ ARR_INTERIOR
. parameter_space_in_x_2
(xcv
, ce
) = ARR_INTERIOR
. Comparison_result ArrTraits::CompareXAtLimit_2::operator() | ( | const ArrTraits::X_monotone_curve_2 & | xcv1, |
Arr_curve_end | ce1, | ||
const ArrTraits::X_monotone_curve_2 & | xcv2, | ||
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 C1(t)=(X1(t),Y1(t)) and C2(t)=(X2(t),Y2(t)), respectively, defined over open or half-open intervals with endpoints 0 and 1. The indices ce1
and ce2
identify open ends d1∈{0,1} and d2∈{0,1} of C1 and C2, respectively. Formally, compares limt→d1X1(t) and limt→d2X2(t). Returns SMALLER
, EQUAL
, or LARGER
accordingly.
parameter_space_in_y_2
(xcv1
, ce1
) ≠ ARR_INTERIOR
. parameter_space_in_y_2
(xcv2
, ce2
) ≠ ARR_INTERIOR
. parameter_space_in_x_2
(xcv1
, ce1
) = ARR_INTERIOR
. parameter_space_in_x_2
(xcv2
, ce2
) = ARR_INTERIOR
.