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/**********************************************************************
* $Id: lwgeom_geos.c 5258 2010-02-17 21:02:49Z strk $
*
* PostGIS - Spatial Types for PostgreSQL
* http://postgis.refractions.net
*
* Copyright 2009-2010 Sandro Santilli <strk@keybit.net>
*
* This is free software; you can redistribute and/or modify it under
* the terms of the GNU General Public Licence. See the COPYING file.
*
**********************************************************************
*
* Split polygon by line, line by line, line by point.
* Returns at most components as a collection.
* First element of the collection is always the part which
* remains after the cut, while the second element is the
* part which has been cut out. We arbitrarely take the part
* on the *right* of cut lines as the part which has been cut out.
* For a line cut by a point the part which remains is the one
* from start of the line to the cut point.
*
*
* Author: Sandro Santilli <strk@keybit.net>
*
* Work done for Faunalia (http://www.faunalia.it) with fundings
* from Regione Toscana - Sistema Informativo per il Governo
* del Territorio e dell'Ambiente (RT-SIGTA).
*
* Thanks to the PostGIS community for sharing poly/line ideas [1]
*
* [1] http://trac.osgeo.org/postgis/wiki/UsersWikiSplitPolygonWithLineString
*
*
**********************************************************************/
#include "lwgeom_geos.h"
#include "liblwgeom_internal.h"
#include <string.h>
#include <assert.h>
static LWGEOM* lwline_split_by_line(const LWLINE* lwgeom_in, const LWLINE* blade_in);
static LWGEOM* lwline_split_by_point(const LWLINE* lwgeom_in, const LWPOINT* blade_in);
static LWGEOM* lwline_split(const LWLINE* lwgeom_in, const LWGEOM* blade_in);
static LWGEOM* lwpoly_split_by_line(const LWPOLY* lwgeom_in, const LWLINE* blade_in);
static LWGEOM* lwcollection_split(const LWCOLLECTION* lwcoll_in, const LWGEOM* blade_in);
static LWGEOM* lwpoly_split(const LWPOLY* lwpoly_in, const LWGEOM* blade_in);
/* Initializes and uses GEOS internally */
static LWGEOM*
lwline_split_by_line(const LWLINE* lwline_in, const LWLINE* blade_in)
{
LWGEOM** components;
LWGEOM* diff;
LWCOLLECTION* out;
GEOSGeometry* gdiff; /* difference */
GEOSGeometry* g1;
GEOSGeometry* g2;
int ret;
/* Possible outcomes:
*
* 1. The lines do not cross or overlap
* -> Return a collection with single element
* 2. The lines cross
* -> Return a collection of all elements resulting from the split
*/
initGEOS(lwgeom_geos_error, lwgeom_geos_error);
g1 = LWGEOM2GEOS((LWGEOM*)lwline_in);
if ( ! g1 )
{
lwerror("LWGEOM2GEOS: %s", lwgeom_geos_errmsg);
return NULL;
}
g2 = LWGEOM2GEOS((LWGEOM*)blade_in);
if ( ! g2 )
{
GEOSGeom_destroy(g1);
lwerror("LWGEOM2GEOS: %s", lwgeom_geos_errmsg);
return NULL;
}
/* If interior intersecton is linear we can't split */
ret = GEOSRelatePattern(g1, g2, "1********");
if ( 2 == ret )
{
lwerror("GEOSRelatePattern: %s", lwgeom_geos_errmsg);
GEOSGeom_destroy(g1);
GEOSGeom_destroy(g2);
return NULL;
}
if ( ret )
{
GEOSGeom_destroy(g1);
GEOSGeom_destroy(g2);
lwerror("Splitter line has linear intersection with input");
return NULL;
}
gdiff = GEOSDifference(g1,g2);
GEOSGeom_destroy(g1);
GEOSGeom_destroy(g2);
if (gdiff == NULL)
{
lwerror("GEOSDifference: %s", lwgeom_geos_errmsg);
return NULL;
}
diff = GEOS2LWGEOM(gdiff, FLAGS_GET_Z(lwline_in->flags));
GEOSGeom_destroy(gdiff);
if (NULL == diff)
{
lwerror("GEOS2LWGEOM: %s", lwgeom_geos_errmsg);
return NULL;
}
out = lwgeom_as_lwcollection(diff);
if ( ! out )
{
components = lwalloc(sizeof(LWGEOM*)*1);
components[0] = diff;
out = lwcollection_construct(COLLECTIONTYPE, lwline_in->srid,
NULL, 1, components);
}
else
{
/* Set SRID */
lwgeom_set_srid((LWGEOM*)out, lwline_in->srid);
/* Force collection type */
out->type = COLLECTIONTYPE;
}
return (LWGEOM*)out;
}
static LWGEOM*
lwline_split_by_point(const LWLINE* lwline_in, const LWPOINT* blade_in)
{
LWMLINE* out;
out = lwmline_construct_empty(lwline_in->srid,
FLAGS_GET_Z(lwline_in->flags),
FLAGS_GET_M(lwline_in->flags));
if ( lwline_split_by_point_to(lwline_in, blade_in, out) < 2 )
{
lwmline_add_lwline(out, lwline_clone(lwline_in));
}
/* Turn multiline into collection */
out->type = COLLECTIONTYPE;
return (LWGEOM*)out;
}
int
lwline_split_by_point_to(const LWLINE* lwline_in, const LWPOINT* blade_in,
LWMLINE* v)
{
double loc, dist;
POINT4D pt, pt_projected;
POINTARRAY* pa1;
POINTARRAY* pa2;
double vstol; /* vertex snap tolerance */
/* Possible outcomes:
*
* 1. The point is not on the line or on the boundary
* -> Leave collection untouched, return 0
* 2. The point is on the boundary
* -> Push 1 element on the collection:
* o the original line
* -> Return 1
* 3. The point is in the line
* -> Push 2 elements on the collection:
* o start_point - cut_point
* o cut_point - last_point
* -> Return 2
*/
getPoint4d_p(blade_in->point, 0, &pt);
loc = ptarray_locate_point(lwline_in->points, &pt, &dist, &pt_projected);
/* lwnotice("Location: %g -- Distance: %g", loc, dist); */
if ( dist > 0 ) /* TODO: accept a tolerance ? */
{
/* No intersection */
return 0;
}
if ( loc == 0 || loc == 1 )
{
/* Intersection is on the boundary */
return 1;
}
/* There is a real intersection, let's get two substrings */
/* Compute vertex snap tolerance based on line length
* TODO: take as parameter ? */
vstol = ptarray_length_2d(lwline_in->points) / 1e14;
pa1 = ptarray_substring(lwline_in->points, 0, loc, vstol);
pa2 = ptarray_substring(lwline_in->points, loc, 1, vstol);
/* NOTE: I've seen empty pointarrays with loc != 0 and loc != 1 */
if ( pa1->npoints == 0 || pa2->npoints == 0 ) {
ptarray_free(pa1);
ptarray_free(pa2);
/* Intersection is on the boundary */
return 1;
}
lwmline_add_lwline(v, lwline_construct(SRID_UNKNOWN, NULL, pa1));
lwmline_add_lwline(v, lwline_construct(SRID_UNKNOWN, NULL, pa2));
return 2;
}
static LWGEOM*
lwline_split(const LWLINE* lwline_in, const LWGEOM* blade_in)
{
switch (blade_in->type)
{
case POINTTYPE:
return lwline_split_by_point(lwline_in, (LWPOINT*)blade_in);
case LINETYPE:
return lwline_split_by_line(lwline_in, (LWLINE*)blade_in);
default:
lwerror("Splitting a Line by a %s is unsupported",
lwtype_name(blade_in->type));
return NULL;
}
return NULL;
}
/* Initializes and uses GEOS internally */
static LWGEOM*
lwpoly_split_by_line(const LWPOLY* lwpoly_in, const LWLINE* blade_in)
{
LWCOLLECTION* out;
GEOSGeometry* g1;
GEOSGeometry* g2;
GEOSGeometry* g1_bounds;
GEOSGeometry* polygons;
const GEOSGeometry *vgeoms[1];
int i,n;
int hasZ = FLAGS_GET_Z(lwpoly_in->flags);
/* Possible outcomes:
*
* 1. The line does not split the polygon
* -> Return a collection with single element
* 2. The line does split the polygon
* -> Return a collection of all elements resulting from the split
*/
initGEOS(lwgeom_geos_error, lwgeom_geos_error);
g1 = LWGEOM2GEOS((LWGEOM*)lwpoly_in);
if ( NULL == g1 )
{
lwerror("LWGEOM2GEOS: %s", lwgeom_geos_errmsg);
return NULL;
}
g1_bounds = GEOSBoundary(g1);
if ( NULL == g1_bounds )
{
GEOSGeom_destroy(g1);
lwerror("GEOSBoundary: %s", lwgeom_geos_errmsg);
return NULL;
}
g2 = LWGEOM2GEOS((LWGEOM*)blade_in);
if ( NULL == g2 )
{
GEOSGeom_destroy(g1);
GEOSGeom_destroy(g1_bounds);
lwerror("LWGEOM2GEOS: %s", lwgeom_geos_errmsg);
return NULL;
}
vgeoms[0] = GEOSUnion(g1_bounds, g2);
if ( NULL == vgeoms[0] )
{
GEOSGeom_destroy(g1);
GEOSGeom_destroy(g2);
GEOSGeom_destroy(g1_bounds);
lwerror("GEOSUnion: %s", lwgeom_geos_errmsg);
return NULL;
}
/* debugging..
lwnotice("Bounds poly: %s",
lwgeom_to_ewkt(GEOS2LWGEOM(g1_bounds, hasZ)));
lwnotice("Line: %s",
lwgeom_to_ewkt(GEOS2LWGEOM(g2, hasZ)));
lwnotice("Noded bounds: %s",
lwgeom_to_ewkt(GEOS2LWGEOM(vgeoms[0], hasZ)));
*/
polygons = GEOSPolygonize(vgeoms, 1);
if ( NULL == polygons )
{
GEOSGeom_destroy(g1);
GEOSGeom_destroy(g2);
GEOSGeom_destroy(g1_bounds);
GEOSGeom_destroy((GEOSGeometry*)vgeoms[0]);
lwerror("GEOSPolygonize: %s", lwgeom_geos_errmsg);
return NULL;
}
#if PARANOIA_LEVEL > 0
if ( GEOSGeometryTypeId(polygons) != COLLECTIONTYPE )
{
GEOSGeom_destroy(g1);
GEOSGeom_destroy(g2);
GEOSGeom_destroy(g1_bounds);
GEOSGeom_destroy((GEOSGeometry*)vgeoms[0]);
GEOSGeom_destroy(polygons);
lwerror("Unexpected return from GEOSpolygonize");
return 0;
}
#endif
/* We should now have all polygons, just skip
* the ones which are in holes of the original
* geometries and return the rest in a collection
*/
n = GEOSGetNumGeometries(polygons);
out = lwcollection_construct_empty(COLLECTIONTYPE, lwpoly_in->srid,
hasZ, 0);
/* Allocate space for all polys */
out->geoms = lwrealloc(out->geoms, sizeof(LWGEOM*)*n);
assert(0 == out->ngeoms);
for (i=0; i<n; ++i)
{
GEOSGeometry* pos; /* point on surface */
const GEOSGeometry* p = GEOSGetGeometryN(polygons, i);
int contains;
pos = GEOSPointOnSurface(p);
if ( ! pos )
{
GEOSGeom_destroy(g1);
GEOSGeom_destroy(g2);
GEOSGeom_destroy(g1_bounds);
GEOSGeom_destroy((GEOSGeometry*)vgeoms[0]);
GEOSGeom_destroy(polygons);
lwerror("GEOSPointOnSurface: %s", lwgeom_geos_errmsg);
return NULL;
}
contains = GEOSContains(g1, pos);
if ( 2 == contains )
{
GEOSGeom_destroy(g1);
GEOSGeom_destroy(g2);
GEOSGeom_destroy(g1_bounds);
GEOSGeom_destroy((GEOSGeometry*)vgeoms[0]);
GEOSGeom_destroy(polygons);
GEOSGeom_destroy(pos);
lwerror("GEOSContains: %s", lwgeom_geos_errmsg);
return NULL;
}
GEOSGeom_destroy(pos);
if ( 0 == contains )
{
/* Original geometry doesn't contain
* a point in this ring, must be an hole
*/
continue;
}
out->geoms[out->ngeoms++] = GEOS2LWGEOM(p, hasZ);
}
GEOSGeom_destroy(g1);
GEOSGeom_destroy(g2);
GEOSGeom_destroy(g1_bounds);
GEOSGeom_destroy((GEOSGeometry*)vgeoms[0]);
GEOSGeom_destroy(polygons);
return (LWGEOM*)out;
}
static LWGEOM*
lwcollection_split(const LWCOLLECTION* lwcoll_in, const LWGEOM* blade_in)
{
LWGEOM** split_vector=NULL;
LWCOLLECTION* out;
size_t split_vector_capacity;
size_t split_vector_size=0;
size_t i,j;
split_vector_capacity=8;
split_vector = lwalloc(split_vector_capacity * sizeof(LWGEOM*));
if ( ! split_vector )
{
lwerror("Out of virtual memory");
return NULL;
}
for (i=0; i<lwcoll_in->ngeoms; ++i)
{
LWCOLLECTION* col;
LWGEOM* split = lwgeom_split(lwcoll_in->geoms[i], blade_in);
/* an exception should prevent this from ever returning NULL */
if ( ! split ) return NULL;
col = lwgeom_as_lwcollection(split);
/* Output, if any, will always be a collection */
assert(col);
/* Reallocate split_vector if needed */
if ( split_vector_size + col->ngeoms > split_vector_capacity )
{
/* NOTE: we could be smarter on reallocations here */
split_vector_capacity += col->ngeoms;
split_vector = lwrealloc(split_vector,
split_vector_capacity * sizeof(LWGEOM*));
if ( ! split_vector )
{
lwerror("Out of virtual memory");
return NULL;
}
}
for (j=0; j<col->ngeoms; ++j)
{
col->geoms[j]->srid = SRID_UNKNOWN; /* strip srid */
split_vector[split_vector_size++] = col->geoms[j];
}
lwfree(col->geoms);
lwfree(col);
}
/* Now split_vector has split_vector_size geometries */
out = lwcollection_construct(COLLECTIONTYPE, lwcoll_in->srid,
NULL, split_vector_size, split_vector);
return (LWGEOM*)out;
}
static LWGEOM*
lwpoly_split(const LWPOLY* lwpoly_in, const LWGEOM* blade_in)
{
switch (blade_in->type)
{
case LINETYPE:
return lwpoly_split_by_line(lwpoly_in, (LWLINE*)blade_in);
default:
lwerror("Splitting a Polygon by a %s is unsupported",
lwtype_name(blade_in->type));
return NULL;
}
return NULL;
}
/* exported */
LWGEOM*
lwgeom_split(const LWGEOM* lwgeom_in, const LWGEOM* blade_in)
{
switch (lwgeom_in->type)
{
case LINETYPE:
return lwline_split((const LWLINE*)lwgeom_in, blade_in);
case POLYGONTYPE:
return lwpoly_split((const LWPOLY*)lwgeom_in, blade_in);
case MULTIPOLYGONTYPE:
case MULTILINETYPE:
case COLLECTIONTYPE:
return lwcollection_split((const LWCOLLECTION*)lwgeom_in, blade_in);
default:
lwerror("Splitting of %s geometries is unsupported",
lwtype_name(lwgeom_in->type));
return NULL;
}
}
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