CGAL 5.1.2 - 2D Arrangements
ArrTraits::ParameterSpaceInX_2 Concept Reference

Definition

Operations

A model of this concept must provide:

Arr_parameter_space operator() (const ArrTraits::X_monotone_curve_2 &xcv, 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...
 

Member Function Documentation

◆ operator()()

Arr_parameter_space ArrTraits::ParameterSpaceInX_2::operator() ( const ArrTraits::X_monotone_curve_2 &  xcv,
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 ARR_LEFT_BOUNDARY, ARR_RIGHT_BOUNDARY, or ARR_INTERIOR, accordingly.