

 
Manual Reference Pages  PATHPLAN (3)
NAME
libpathplan  finds and smooths shortest paths
CONTENTS
Synopsis
Description
Bugs
Authors
SYNOPSIS
#include <graphviz/pathplan.h>
typedef struct Pxy_t {
double x, y;
} Pxy_t;
typedef struct Pxy_t Ppoint_t;
typedef struct Pxy_t Pvector_t;
typedef struct Ppoly_t {
Ppoint_t *ps;
int pn;
} Ppoly_t;
typedef Ppoly_t Ppolyline_t;
typedef struct Pedge_t {
Ppoint_t a, b;
} Pedge_t;
typedef struct vconfig_s vconfig_t;
#define POLYID_NONE
#define POLYID_UNKNOWN
int Pshortestpath(Ppoly_t *boundary, Ppoint_t endpoints[2], Ppolyline_t *output_route);
vconfig_t *Pobsopen(Ppoly_t **obstacles, int n_obstacles);
int Pobspath(vconfig_t *config, Ppoint_t p0, int poly0, Ppoint_t p1, int poly1, Ppolyline_t *output_route);
void Pobsclose(vconfig_t *config);
int Proutespline (Pedge_t *barriers, int n_barriers, Ppolyline_t input_route, Pvector_t endpoint_slopes[2],
Ppolyline_t *output_route);
int Ppolybarriers(Ppoly_t **polys, int n_polys, Pedge_t **barriers, int *n_barriers);
DESCRIPTION
libpathplan provides functions for creating spline paths in the plane that
are constrained by a polygonal boundary or obstacles to avoid.
All polygons must be simple, but need not be convex.
int Pshortestpath(Ppoly_t *boundary, Ppoint_t endpoints[2], Ppolyline_t *output_route);
The function Pshortestpath
finds a shortest path between two points in a simple polygon.
The polygon is specified by a list of its vertices,
in either clockwise or counterclockwise order.
You pass endpoints interior to the polygon boundary.
A shortest path connecting the points that remains in the polygon
is returned in output_route. If either endpoint does not lie in
the polygon, 1 is returned; otherwise, 0 is returned on success.
The array of points in output_route is static to the library. It should
not be freed, and should be used before another call to Pshortestpath.
vconfig_t *Pobsopen(Ppoly_t **obstacles, int n_obstacles);
Pobspath(vconfig_t *config, Ppoint_t p0, int poly0, Ppoint_t p1, int poly1, Ppolyline_t *output_route);
void Pobsclose(vconfig_t *config);
These functions find a shortest path between two points in the plane
that contains polygonal obstacles (holes).
Pobsopen creates a configuration (an opaque struct of type
vconfig_t) on a set of obstacles.
The n_obstacles obstacles are given in the array obstacles;
the points of each polygon should be in clockwise order.
The function Pobsclose frees the data allocated in Pobsopen.
Pobspath finds
a shortest path between the endpoints that remains outside the
obstacles. If the endpoints are known to lie inside obstacles,
poly0 or poly1 should be set to the index in the
obstacles array. If an endpoint is definitely not inside
an obstacle, then POLYID_NONE should be passed. If the
caller has not checked, then POLYID_UNKNOWN should be passed,
and the path library will perform the test. The resulting shortest path
is returned in output_route. Note that this function does not provide
for a boundary polygon. The array of points stored in output_route are
allocated by the library, but should be freed by the user.
int Proutespline (Pedge_t *barriers, int n_barriers, Ppolyline_t input_route, Pvector_t endpoint_slopes[2], Ppolyline_t *output_route);
This function fits a cubic Bspline curve to a polyline path.
The curve is constructed to avoid a set of n_barriers barrier line segments
specified in the array barriers. If you start with polygonal obstacles, you
can supply each polygon’s edges as part of the barrier list.
The polyline input_route provides a template for the final path; it
is usually the output_route of one of the shortest path
finders, but it can be any simple path that doesn’t cross
any barrier segment. The input also allows the specification of desired
slopes at the endpoints via endpoint_slopes. These are specified as vectors.
For example, to have an angle of T at an endpoing, one could use
(cos(T),sin(T)).
A vector (0,0) means unconstrained slope.
The output is returned in output_route and consists of the control points
of the Bspline. The function return 0 on success; a return value of 1 indicates
failure.
The array of points in output_route is static to the library. It should
not be freed, and should be used before another call to Proutespline.
int Ppolybarriers(Ppoly_t **polys, int n_polys, Pedge_t **barriers, int *n_barriers);
This is a utility function that converts an input list of polygons
into an output list of barrier segments.
The array of points in barriers is static to the library. It should
not be freed, and should be used before another call to Ppolybarriers.
The function returns 1 on success.
BUGS
The function Proutespline does not guarantee that it will preserve the
topology of the input path as regards the boundaries. For example, if
some of the segments correspond to a small polygon, it may be possible that the
final path has flipped over the obstacle.
AUTHORS
David Dobkin (dpd@cs.princeton.edu),
Eleftherios Koutsofios (ek@research.att.com),
Emden Gansner (erg@research.att.com).
>  LIBPATH (3)  01 APRIL 1997 
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