ArrTraits::ParameterSpaceInY_2 Concept Reference

Definition

Refines:

AdaptableBinaryFunction

Has Models:

ArrangementOpenBoundaryTraits_2::Parameter_space_in_y_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 \( y\)-dimension. More...

Member Function Documentation

operator()()

Arr_parameter_space ArrTraits::ParameterSpaceInY_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 \( y\)-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 \( \lim_{t \rightarrow d} Y(t)\) evaluates to \( b_b\), \( b_t\), or a value in between, where \( b_b\) and \( b_t\) are the \( y\)-coordinates of the bottom and top boundaries of the parameter space, respectively. Returns ARR_BOTTOM_BOUNDARY, ARR_TOP_BOUNDARY, or ARR_INTERIOR, accordingly.

Postcondition

If ArrTraits::Bottom_side_category is not convertible to Arr_open_side_tag then the result is not ARR_BOTTOM_BOUNDARY.

If ArrTraits::Top_side_category is not convertible to Arr_open_side_tag then the result is not ARR_TOP_BOUNDARY.