CGAL 6.1.1 - 2D Arrangements

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AosTraits::ParameterSpaceInY_2 Concept Reference
Reference Manual » Concepts » Function Object Concepts

## Definition

Refines
  `AdaptableBinaryFunction`

Has models
  `AosHorizontalSideTraits_2::Parameter_space_in_y_2`
  `AosOpenBoundaryTraits_2::Parameter_space_in_y_2`
  `AosSphericalBoundaryTraits_2::Parameter_space_in_y_2`

## Operations
A model of this concept must provide:
CGAL::Arr_parameter_space | operator() (const AosTraits::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 \(y\)-dimension.

## Member Function Documentation

## ◆ operator()()

CGAL::Arr_parameter_space AosTraits::ParameterSpaceInY_2::operator() | ( | const AosTraits::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 \(y\)-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 `CGAL::ARR_BOTTOM_BOUNDARY`, `CGAL::ARR_TOP_BOUNDARY`, or `CGAL::ARR_INTERIOR`, accordingly.

Postcondition
  If `AosTraits::Bottom_side_category` is convertible to `CGAL::Arr_oblivious_side_tag` then the result is not `CGAL::ARR_BOTTOM_BOUNDARY` .
  If `AosTraits::Top_side_category` is convertible to `CGAL::Arr_oblivious_side_tag` then the result is not `CGAL::ARR_TOP_BOUNDARY`.