 CGAL 5.5 - 2D Arrangements
ArrTraits::ParameterSpaceInX_2 Concept Reference

## Operations

A model of this concept must provide:

CGAL::Arr_parameter_space operator() (const ArrTraits::X_monotone_curve_2 &xcv, CGAL::Arr_curve_end ce)
Given an $$x$$-monotone curve xcv and an enumeration ce that specifies either the minimum or the maximum end of the curve, determines the location of the curve end along the $$x$$-dimension. More...

## ◆ operator()()

 CGAL::Arr_parameter_space ArrTraits::ParameterSpaceInX_2::operator() ( const ArrTraits::X_monotone_curve_2 & xcv, CGAL::Arr_curve_end ce )

Given an $$x$$-monotone curve xcv and an enumeration ce that specifies either the minimum or the maximum end of the curve, determines the location of the curve end along the $$x$$-dimension.

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, determines whether $$\lim_{t \rightarrow d} x(t)$$ evaluates to $$b_l$$, $$b_r$$, or a value in between, where $$b_l$$ and $$b_r$$ are the $$x$$-coordinates of the left and right boundaries of the parameter space, respectively. Returns CGAL::ARR_LEFT_BOUNDARY, CGAL::ARR_RIGHT_BOUNDARY, or CGAL::ARR_INTERIOR, accordingly.

Postcondition
If ArrTraits::Left_side_category is convertible to CGAL::Arr_oblivious_side_tag then the result is not CGAL::ARR_LEFT_BOUNDARY.
If ArrTraits::Right_side_category is convertible to CGAL::Arr_oblivious_side_tag then the result is not CGAL::ARR_RIGHT_BOUNDARY.