CGAL 5.1.3  2D Arrangements

Operations  
Comparison_result  operator() (const ArrTraits::X_monotone_curve_2 &xcv1, const ArrTraits::X_monotone_curve_2 &xcv2, Arr_curve_end ce) 
Given two \( x\)monotone curves xcv1 and xcv2 and an enumeration ce that specifies either the minimum ends or the maximum ends of the curves where the curves have a vertical asymptote, compares the \( x\)coordinate of the curves near their respective ends. More...  
Comparison_result ArrTraits::CompareXNearLimit_2::operator()  (  const ArrTraits::X_monotone_curve_2 &  xcv1, 
const ArrTraits::X_monotone_curve_2 &  xcv2,  
Arr_curve_end  ce  
) 
Given two \( x\)monotone curves xcv1
and xcv2
and an enumeration ce
that specifies either the minimum ends or the maximum ends of the curves where the curves have a vertical asymptote, compares the \( x\)coordinate of the curves near their respective ends.
Returns SMALLER
, EQUAL
, or LARGER
accordingly. More precisely, compares the \( x\)coordinates of the horizontal projection of a point \( p\) onto xcv1
and xcv2
. If xcv1
and xcv2
approach the bottom boundaryside, \( p\) is located far to the bottom, such that the result is invariant under a translation of \( p\) farther to the bottom. If xcv1
and xcv2
approach the top boundaryside, \( p\) is located far to the top in a similar manner.
compare_x_at_limit_2
(xcv1
, xcv2
, ce
) = EQUAL
. parameter_space_in_y_2
(xcv1
, ce
) = parameter_space_in_y_2
(xcv2
, ce
). parameter_space_in_y_2
(xcv1
, ce
) \( \neq\) ARR_INTERIOR
.