ArrTraits::ParameterSpaceInX_2 Concept Reference

Definition

Refines:

AdaptableBinaryFunction

Has Models:

ArrangementOpenBoundaryTraits_2::Parameter_space_in_x_2

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.