ArrTraits::CompareXNearLimit_2 Concept Reference

Definition

Refines:

AdaptableTernaryFunction

Has Models:

ArrangementOpenBoundaryTraits_2::Compare_x_near_limit_2

Operations
A model of this concept must provide:
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...

Member Function Documentation

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 boundary-side, \( p\) 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 boundary-side, \( p\) is located far to the top in a similar manner.

Precondition

The \( x\)-coordinates of the limits of the curves at their respective ends are equal. That is, 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.