An instance PS of data type POINT_LOCATOR is a data structure for efficient point location in triangulations.
There are three instantiations of POINT_LOCATOR: point_locator (floating point kernel), rat_point_locator (rational kernel) and real_point_locator (real kernel). The respective header file name corresponds to the type name (with ``.h'' appended).
#include < LEDA/geo/generic/POINT_LOCATOR.h >
|POINT_LOCATOR||PS(const GRAPH<POINT,int>& T)|
|creates a point locator for a triangulation T.|
|POINT_LOCATOR||PS(const GRAPH<POINT,SEGMENT>& T)|
|creates a point locator for a constrained triangulation T.|
|POINT_LOCATOR||PS(const graph& T, node_array<POINT>& p)|
|creates a point locator for a general triangulation T. Node positions have to be provided in node_array p.|
|edge||PS.locate(POINT q)||returns an edge e of PS that contains q or that borders the face that contains q. In the former case, a hull edge is returned if q lies on the boundary of the convex hull. In the latter case we have PS.orientation(e,q) > 0 except if all points of PS are collinear and q lies on the induced line. In this case target(e) is visible from q. The operation returns nil if PS is empty.|
|bool||PS.check_locate(POINT q, edge e)|
|checks whether e could be the result of PS.locate(q).|