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00001 /*------------------------------------------------------------------------- 00002 * 00003 * geo_decls.h - Declarations for various 2D constructs. 00004 * 00005 * 00006 * Portions Copyright (c) 1996-2013, PostgreSQL Global Development Group 00007 * Portions Copyright (c) 1994, Regents of the University of California 00008 * 00009 * src/include/utils/geo_decls.h 00010 * 00011 * NOTE 00012 * These routines do *not* use the float types from adt/. 00013 * 00014 * XXX These routines were not written by a numerical analyst. 00015 * 00016 * XXX I have made some attempt to flesh out the operators 00017 * and data types. There are still some more to do. - tgl 97/04/19 00018 * 00019 *------------------------------------------------------------------------- 00020 */ 00021 #ifndef GEO_DECLS_H 00022 #define GEO_DECLS_H 00023 00024 #include <math.h> 00025 00026 #include "fmgr.h" 00027 00028 /*-------------------------------------------------------------------- 00029 * Useful floating point utilities and constants. 00030 *-------------------------------------------------------------------*/ 00031 00032 00033 #define EPSILON 1.0E-06 00034 00035 #ifdef EPSILON 00036 #define FPzero(A) (fabs(A) <= EPSILON) 00037 #define FPeq(A,B) (fabs((A) - (B)) <= EPSILON) 00038 #define FPne(A,B) (fabs((A) - (B)) > EPSILON) 00039 #define FPlt(A,B) ((B) - (A) > EPSILON) 00040 #define FPle(A,B) ((A) - (B) <= EPSILON) 00041 #define FPgt(A,B) ((A) - (B) > EPSILON) 00042 #define FPge(A,B) ((B) - (A) <= EPSILON) 00043 #else 00044 #define FPzero(A) ((A) == 0) 00045 #define FPeq(A,B) ((A) == (B)) 00046 #define FPne(A,B) ((A) != (B)) 00047 #define FPlt(A,B) ((A) < (B)) 00048 #define FPle(A,B) ((A) <= (B)) 00049 #define FPgt(A,B) ((A) > (B)) 00050 #define FPge(A,B) ((A) >= (B)) 00051 #endif 00052 00053 #define HYPOT(A, B) pg_hypot(A, B) 00054 00055 /*--------------------------------------------------------------------- 00056 * Point - (x,y) 00057 *-------------------------------------------------------------------*/ 00058 typedef struct 00059 { 00060 double x, 00061 y; 00062 } Point; 00063 00064 00065 /*--------------------------------------------------------------------- 00066 * LSEG - A straight line, specified by endpoints. 00067 *-------------------------------------------------------------------*/ 00068 typedef struct 00069 { 00070 Point p[2]; 00071 00072 double m; /* precomputed to save time, not in tuple */ 00073 } LSEG; 00074 00075 00076 /*--------------------------------------------------------------------- 00077 * PATH - Specified by vertex points. 00078 *-------------------------------------------------------------------*/ 00079 typedef struct 00080 { 00081 int32 vl_len_; /* varlena header (do not touch directly!) */ 00082 int32 npts; 00083 int32 closed; /* is this a closed polygon? */ 00084 int32 dummy; /* padding to make it double align */ 00085 Point p[1]; /* variable length array of POINTs */ 00086 } PATH; 00087 00088 00089 /*--------------------------------------------------------------------- 00090 * LINE - Specified by its general equation (Ax+By+C=0). 00091 * If there is a y-intercept, it is C, which 00092 * incidentally gives a freebie point on the line 00093 * (if B=0, then C is the x-intercept). 00094 * Slope m is precalculated to save time; if 00095 * the line is not vertical, m == A. 00096 *-------------------------------------------------------------------*/ 00097 typedef struct 00098 { 00099 double A, 00100 B, 00101 C; 00102 00103 double m; 00104 } LINE; 00105 00106 00107 /*--------------------------------------------------------------------- 00108 * BOX - Specified by two corner points, which are 00109 * sorted to save calculation time later. 00110 *-------------------------------------------------------------------*/ 00111 typedef struct 00112 { 00113 Point high, 00114 low; /* corner POINTs */ 00115 } BOX; 00116 00117 /*--------------------------------------------------------------------- 00118 * POLYGON - Specified by an array of doubles defining the points, 00119 * keeping the number of points and the bounding box for 00120 * speed purposes. 00121 *-------------------------------------------------------------------*/ 00122 typedef struct 00123 { 00124 int32 vl_len_; /* varlena header (do not touch directly!) */ 00125 int32 npts; 00126 BOX boundbox; 00127 Point p[1]; /* variable length array of POINTs */ 00128 } POLYGON; 00129 00130 /*--------------------------------------------------------------------- 00131 * CIRCLE - Specified by a center point and radius. 00132 *-------------------------------------------------------------------*/ 00133 typedef struct 00134 { 00135 Point center; 00136 double radius; 00137 } CIRCLE; 00138 00139 /* 00140 * fmgr interface macros 00141 * 00142 * Path and Polygon are toastable varlena types, the others are just 00143 * fixed-size pass-by-reference types. 00144 */ 00145 00146 #define DatumGetPointP(X) ((Point *) DatumGetPointer(X)) 00147 #define PointPGetDatum(X) PointerGetDatum(X) 00148 #define PG_GETARG_POINT_P(n) DatumGetPointP(PG_GETARG_DATUM(n)) 00149 #define PG_RETURN_POINT_P(x) return PointPGetDatum(x) 00150 00151 #define DatumGetLsegP(X) ((LSEG *) DatumGetPointer(X)) 00152 #define LsegPGetDatum(X) PointerGetDatum(X) 00153 #define PG_GETARG_LSEG_P(n) DatumGetLsegP(PG_GETARG_DATUM(n)) 00154 #define PG_RETURN_LSEG_P(x) return LsegPGetDatum(x) 00155 00156 #define DatumGetPathP(X) ((PATH *) PG_DETOAST_DATUM(X)) 00157 #define DatumGetPathPCopy(X) ((PATH *) PG_DETOAST_DATUM_COPY(X)) 00158 #define PathPGetDatum(X) PointerGetDatum(X) 00159 #define PG_GETARG_PATH_P(n) DatumGetPathP(PG_GETARG_DATUM(n)) 00160 #define PG_GETARG_PATH_P_COPY(n) DatumGetPathPCopy(PG_GETARG_DATUM(n)) 00161 #define PG_RETURN_PATH_P(x) return PathPGetDatum(x) 00162 00163 #define DatumGetLineP(X) ((LINE *) DatumGetPointer(X)) 00164 #define LinePGetDatum(X) PointerGetDatum(X) 00165 #define PG_GETARG_LINE_P(n) DatumGetLineP(PG_GETARG_DATUM(n)) 00166 #define PG_RETURN_LINE_P(x) return LinePGetDatum(x) 00167 00168 #define DatumGetBoxP(X) ((BOX *) DatumGetPointer(X)) 00169 #define BoxPGetDatum(X) PointerGetDatum(X) 00170 #define PG_GETARG_BOX_P(n) DatumGetBoxP(PG_GETARG_DATUM(n)) 00171 #define PG_RETURN_BOX_P(x) return BoxPGetDatum(x) 00172 00173 #define DatumGetPolygonP(X) ((POLYGON *) PG_DETOAST_DATUM(X)) 00174 #define DatumGetPolygonPCopy(X) ((POLYGON *) PG_DETOAST_DATUM_COPY(X)) 00175 #define PolygonPGetDatum(X) PointerGetDatum(X) 00176 #define PG_GETARG_POLYGON_P(n) DatumGetPolygonP(PG_GETARG_DATUM(n)) 00177 #define PG_GETARG_POLYGON_P_COPY(n) DatumGetPolygonPCopy(PG_GETARG_DATUM(n)) 00178 #define PG_RETURN_POLYGON_P(x) return PolygonPGetDatum(x) 00179 00180 #define DatumGetCircleP(X) ((CIRCLE *) DatumGetPointer(X)) 00181 #define CirclePGetDatum(X) PointerGetDatum(X) 00182 #define PG_GETARG_CIRCLE_P(n) DatumGetCircleP(PG_GETARG_DATUM(n)) 00183 #define PG_RETURN_CIRCLE_P(x) return CirclePGetDatum(x) 00184 00185 00186 /* 00187 * in geo_ops.h 00188 */ 00189 00190 /* public point routines */ 00191 extern Datum point_in(PG_FUNCTION_ARGS); 00192 extern Datum point_out(PG_FUNCTION_ARGS); 00193 extern Datum point_recv(PG_FUNCTION_ARGS); 00194 extern Datum point_send(PG_FUNCTION_ARGS); 00195 extern Datum construct_point(PG_FUNCTION_ARGS); 00196 extern Datum point_left(PG_FUNCTION_ARGS); 00197 extern Datum point_right(PG_FUNCTION_ARGS); 00198 extern Datum point_above(PG_FUNCTION_ARGS); 00199 extern Datum point_below(PG_FUNCTION_ARGS); 00200 extern Datum point_vert(PG_FUNCTION_ARGS); 00201 extern Datum point_horiz(PG_FUNCTION_ARGS); 00202 extern Datum point_eq(PG_FUNCTION_ARGS); 00203 extern Datum point_ne(PG_FUNCTION_ARGS); 00204 extern Datum point_distance(PG_FUNCTION_ARGS); 00205 extern Datum point_slope(PG_FUNCTION_ARGS); 00206 extern Datum point_add(PG_FUNCTION_ARGS); 00207 extern Datum point_sub(PG_FUNCTION_ARGS); 00208 extern Datum point_mul(PG_FUNCTION_ARGS); 00209 extern Datum point_div(PG_FUNCTION_ARGS); 00210 00211 /* private routines */ 00212 extern double point_dt(Point *pt1, Point *pt2); 00213 extern double point_sl(Point *pt1, Point *pt2); 00214 extern double pg_hypot(double x, double y); 00215 00216 /* public lseg routines */ 00217 extern Datum lseg_in(PG_FUNCTION_ARGS); 00218 extern Datum lseg_out(PG_FUNCTION_ARGS); 00219 extern Datum lseg_recv(PG_FUNCTION_ARGS); 00220 extern Datum lseg_send(PG_FUNCTION_ARGS); 00221 extern Datum lseg_intersect(PG_FUNCTION_ARGS); 00222 extern Datum lseg_parallel(PG_FUNCTION_ARGS); 00223 extern Datum lseg_perp(PG_FUNCTION_ARGS); 00224 extern Datum lseg_vertical(PG_FUNCTION_ARGS); 00225 extern Datum lseg_horizontal(PG_FUNCTION_ARGS); 00226 extern Datum lseg_eq(PG_FUNCTION_ARGS); 00227 extern Datum lseg_ne(PG_FUNCTION_ARGS); 00228 extern Datum lseg_lt(PG_FUNCTION_ARGS); 00229 extern Datum lseg_le(PG_FUNCTION_ARGS); 00230 extern Datum lseg_gt(PG_FUNCTION_ARGS); 00231 extern Datum lseg_ge(PG_FUNCTION_ARGS); 00232 extern Datum lseg_construct(PG_FUNCTION_ARGS); 00233 extern Datum lseg_length(PG_FUNCTION_ARGS); 00234 extern Datum lseg_distance(PG_FUNCTION_ARGS); 00235 extern Datum lseg_center(PG_FUNCTION_ARGS); 00236 extern Datum lseg_interpt(PG_FUNCTION_ARGS); 00237 extern Datum dist_pl(PG_FUNCTION_ARGS); 00238 extern Datum dist_ps(PG_FUNCTION_ARGS); 00239 extern Datum dist_ppath(PG_FUNCTION_ARGS); 00240 extern Datum dist_pb(PG_FUNCTION_ARGS); 00241 extern Datum dist_sl(PG_FUNCTION_ARGS); 00242 extern Datum dist_sb(PG_FUNCTION_ARGS); 00243 extern Datum dist_lb(PG_FUNCTION_ARGS); 00244 extern Datum close_lseg(PG_FUNCTION_ARGS); 00245 extern Datum close_pl(PG_FUNCTION_ARGS); 00246 extern Datum close_ps(PG_FUNCTION_ARGS); 00247 extern Datum close_pb(PG_FUNCTION_ARGS); 00248 extern Datum close_sl(PG_FUNCTION_ARGS); 00249 extern Datum close_sb(PG_FUNCTION_ARGS); 00250 extern Datum close_ls(PG_FUNCTION_ARGS); 00251 extern Datum close_lb(PG_FUNCTION_ARGS); 00252 extern Datum on_pl(PG_FUNCTION_ARGS); 00253 extern Datum on_ps(PG_FUNCTION_ARGS); 00254 extern Datum on_pb(PG_FUNCTION_ARGS); 00255 extern Datum on_ppath(PG_FUNCTION_ARGS); 00256 extern Datum on_sl(PG_FUNCTION_ARGS); 00257 extern Datum on_sb(PG_FUNCTION_ARGS); 00258 extern Datum inter_sl(PG_FUNCTION_ARGS); 00259 extern Datum inter_sb(PG_FUNCTION_ARGS); 00260 extern Datum inter_lb(PG_FUNCTION_ARGS); 00261 00262 /* public line routines */ 00263 extern Datum line_in(PG_FUNCTION_ARGS); 00264 extern Datum line_out(PG_FUNCTION_ARGS); 00265 extern Datum line_recv(PG_FUNCTION_ARGS); 00266 extern Datum line_send(PG_FUNCTION_ARGS); 00267 extern Datum line_interpt(PG_FUNCTION_ARGS); 00268 extern Datum line_distance(PG_FUNCTION_ARGS); 00269 extern Datum line_construct_pp(PG_FUNCTION_ARGS); 00270 extern Datum line_intersect(PG_FUNCTION_ARGS); 00271 extern Datum line_parallel(PG_FUNCTION_ARGS); 00272 extern Datum line_perp(PG_FUNCTION_ARGS); 00273 extern Datum line_vertical(PG_FUNCTION_ARGS); 00274 extern Datum line_horizontal(PG_FUNCTION_ARGS); 00275 extern Datum line_eq(PG_FUNCTION_ARGS); 00276 00277 /* public box routines */ 00278 extern Datum box_in(PG_FUNCTION_ARGS); 00279 extern Datum box_out(PG_FUNCTION_ARGS); 00280 extern Datum box_recv(PG_FUNCTION_ARGS); 00281 extern Datum box_send(PG_FUNCTION_ARGS); 00282 extern Datum box_same(PG_FUNCTION_ARGS); 00283 extern Datum box_overlap(PG_FUNCTION_ARGS); 00284 extern Datum box_left(PG_FUNCTION_ARGS); 00285 extern Datum box_overleft(PG_FUNCTION_ARGS); 00286 extern Datum box_right(PG_FUNCTION_ARGS); 00287 extern Datum box_overright(PG_FUNCTION_ARGS); 00288 extern Datum box_below(PG_FUNCTION_ARGS); 00289 extern Datum box_overbelow(PG_FUNCTION_ARGS); 00290 extern Datum box_above(PG_FUNCTION_ARGS); 00291 extern Datum box_overabove(PG_FUNCTION_ARGS); 00292 extern Datum box_contained(PG_FUNCTION_ARGS); 00293 extern Datum box_contain(PG_FUNCTION_ARGS); 00294 extern Datum box_contain_pt(PG_FUNCTION_ARGS); 00295 extern Datum box_below_eq(PG_FUNCTION_ARGS); 00296 extern Datum box_above_eq(PG_FUNCTION_ARGS); 00297 extern Datum box_lt(PG_FUNCTION_ARGS); 00298 extern Datum box_gt(PG_FUNCTION_ARGS); 00299 extern Datum box_eq(PG_FUNCTION_ARGS); 00300 extern Datum box_le(PG_FUNCTION_ARGS); 00301 extern Datum box_ge(PG_FUNCTION_ARGS); 00302 extern Datum box_area(PG_FUNCTION_ARGS); 00303 extern Datum box_width(PG_FUNCTION_ARGS); 00304 extern Datum box_height(PG_FUNCTION_ARGS); 00305 extern Datum box_distance(PG_FUNCTION_ARGS); 00306 extern Datum box_center(PG_FUNCTION_ARGS); 00307 extern Datum box_intersect(PG_FUNCTION_ARGS); 00308 extern Datum box_diagonal(PG_FUNCTION_ARGS); 00309 extern Datum points_box(PG_FUNCTION_ARGS); 00310 extern Datum box_add(PG_FUNCTION_ARGS); 00311 extern Datum box_sub(PG_FUNCTION_ARGS); 00312 extern Datum box_mul(PG_FUNCTION_ARGS); 00313 extern Datum box_div(PG_FUNCTION_ARGS); 00314 00315 /* public path routines */ 00316 extern Datum path_area(PG_FUNCTION_ARGS); 00317 extern Datum path_in(PG_FUNCTION_ARGS); 00318 extern Datum path_out(PG_FUNCTION_ARGS); 00319 extern Datum path_recv(PG_FUNCTION_ARGS); 00320 extern Datum path_send(PG_FUNCTION_ARGS); 00321 extern Datum path_n_lt(PG_FUNCTION_ARGS); 00322 extern Datum path_n_gt(PG_FUNCTION_ARGS); 00323 extern Datum path_n_eq(PG_FUNCTION_ARGS); 00324 extern Datum path_n_le(PG_FUNCTION_ARGS); 00325 extern Datum path_n_ge(PG_FUNCTION_ARGS); 00326 extern Datum path_inter(PG_FUNCTION_ARGS); 00327 extern Datum path_distance(PG_FUNCTION_ARGS); 00328 extern Datum path_length(PG_FUNCTION_ARGS); 00329 00330 extern Datum path_isclosed(PG_FUNCTION_ARGS); 00331 extern Datum path_isopen(PG_FUNCTION_ARGS); 00332 extern Datum path_npoints(PG_FUNCTION_ARGS); 00333 00334 extern Datum path_close(PG_FUNCTION_ARGS); 00335 extern Datum path_open(PG_FUNCTION_ARGS); 00336 extern Datum path_add(PG_FUNCTION_ARGS); 00337 extern Datum path_add_pt(PG_FUNCTION_ARGS); 00338 extern Datum path_sub_pt(PG_FUNCTION_ARGS); 00339 extern Datum path_mul_pt(PG_FUNCTION_ARGS); 00340 extern Datum path_div_pt(PG_FUNCTION_ARGS); 00341 00342 extern Datum path_center(PG_FUNCTION_ARGS); 00343 extern Datum path_poly(PG_FUNCTION_ARGS); 00344 00345 /* public polygon routines */ 00346 extern Datum poly_in(PG_FUNCTION_ARGS); 00347 extern Datum poly_out(PG_FUNCTION_ARGS); 00348 extern Datum poly_recv(PG_FUNCTION_ARGS); 00349 extern Datum poly_send(PG_FUNCTION_ARGS); 00350 extern Datum poly_left(PG_FUNCTION_ARGS); 00351 extern Datum poly_overleft(PG_FUNCTION_ARGS); 00352 extern Datum poly_right(PG_FUNCTION_ARGS); 00353 extern Datum poly_overright(PG_FUNCTION_ARGS); 00354 extern Datum poly_below(PG_FUNCTION_ARGS); 00355 extern Datum poly_overbelow(PG_FUNCTION_ARGS); 00356 extern Datum poly_above(PG_FUNCTION_ARGS); 00357 extern Datum poly_overabove(PG_FUNCTION_ARGS); 00358 extern Datum poly_same(PG_FUNCTION_ARGS); 00359 extern Datum poly_overlap(PG_FUNCTION_ARGS); 00360 extern Datum poly_contain(PG_FUNCTION_ARGS); 00361 extern Datum poly_contained(PG_FUNCTION_ARGS); 00362 extern Datum poly_contain_pt(PG_FUNCTION_ARGS); 00363 extern Datum pt_contained_poly(PG_FUNCTION_ARGS); 00364 extern Datum poly_distance(PG_FUNCTION_ARGS); 00365 extern Datum poly_npoints(PG_FUNCTION_ARGS); 00366 extern Datum poly_center(PG_FUNCTION_ARGS); 00367 extern Datum poly_box(PG_FUNCTION_ARGS); 00368 extern Datum poly_path(PG_FUNCTION_ARGS); 00369 extern Datum box_poly(PG_FUNCTION_ARGS); 00370 00371 /* public circle routines */ 00372 extern Datum circle_in(PG_FUNCTION_ARGS); 00373 extern Datum circle_out(PG_FUNCTION_ARGS); 00374 extern Datum circle_recv(PG_FUNCTION_ARGS); 00375 extern Datum circle_send(PG_FUNCTION_ARGS); 00376 extern Datum circle_same(PG_FUNCTION_ARGS); 00377 extern Datum circle_overlap(PG_FUNCTION_ARGS); 00378 extern Datum circle_overleft(PG_FUNCTION_ARGS); 00379 extern Datum circle_left(PG_FUNCTION_ARGS); 00380 extern Datum circle_right(PG_FUNCTION_ARGS); 00381 extern Datum circle_overright(PG_FUNCTION_ARGS); 00382 extern Datum circle_contained(PG_FUNCTION_ARGS); 00383 extern Datum circle_contain(PG_FUNCTION_ARGS); 00384 extern Datum circle_below(PG_FUNCTION_ARGS); 00385 extern Datum circle_above(PG_FUNCTION_ARGS); 00386 extern Datum circle_overbelow(PG_FUNCTION_ARGS); 00387 extern Datum circle_overabove(PG_FUNCTION_ARGS); 00388 extern Datum circle_eq(PG_FUNCTION_ARGS); 00389 extern Datum circle_ne(PG_FUNCTION_ARGS); 00390 extern Datum circle_lt(PG_FUNCTION_ARGS); 00391 extern Datum circle_gt(PG_FUNCTION_ARGS); 00392 extern Datum circle_le(PG_FUNCTION_ARGS); 00393 extern Datum circle_ge(PG_FUNCTION_ARGS); 00394 extern Datum circle_contain_pt(PG_FUNCTION_ARGS); 00395 extern Datum pt_contained_circle(PG_FUNCTION_ARGS); 00396 extern Datum circle_add_pt(PG_FUNCTION_ARGS); 00397 extern Datum circle_sub_pt(PG_FUNCTION_ARGS); 00398 extern Datum circle_mul_pt(PG_FUNCTION_ARGS); 00399 extern Datum circle_div_pt(PG_FUNCTION_ARGS); 00400 extern Datum circle_diameter(PG_FUNCTION_ARGS); 00401 extern Datum circle_radius(PG_FUNCTION_ARGS); 00402 extern Datum circle_distance(PG_FUNCTION_ARGS); 00403 extern Datum dist_pc(PG_FUNCTION_ARGS); 00404 extern Datum dist_cpoly(PG_FUNCTION_ARGS); 00405 extern Datum circle_center(PG_FUNCTION_ARGS); 00406 extern Datum cr_circle(PG_FUNCTION_ARGS); 00407 extern Datum box_circle(PG_FUNCTION_ARGS); 00408 extern Datum circle_box(PG_FUNCTION_ARGS); 00409 extern Datum poly_circle(PG_FUNCTION_ARGS); 00410 extern Datum circle_poly(PG_FUNCTION_ARGS); 00411 extern Datum circle_area(PG_FUNCTION_ARGS); 00412 00413 /* support routines for the GiST access method (access/gist/gistproc.c) */ 00414 extern Datum gist_box_compress(PG_FUNCTION_ARGS); 00415 extern Datum gist_box_decompress(PG_FUNCTION_ARGS); 00416 extern Datum gist_box_union(PG_FUNCTION_ARGS); 00417 extern Datum gist_box_picksplit(PG_FUNCTION_ARGS); 00418 extern Datum gist_box_consistent(PG_FUNCTION_ARGS); 00419 extern Datum gist_box_penalty(PG_FUNCTION_ARGS); 00420 extern Datum gist_box_same(PG_FUNCTION_ARGS); 00421 extern Datum gist_poly_compress(PG_FUNCTION_ARGS); 00422 extern Datum gist_poly_consistent(PG_FUNCTION_ARGS); 00423 extern Datum gist_circle_compress(PG_FUNCTION_ARGS); 00424 extern Datum gist_circle_consistent(PG_FUNCTION_ARGS); 00425 extern Datum gist_point_compress(PG_FUNCTION_ARGS); 00426 extern Datum gist_point_consistent(PG_FUNCTION_ARGS); 00427 extern Datum gist_point_distance(PG_FUNCTION_ARGS); 00428 00429 /* geo_selfuncs.c */ 00430 extern Datum areasel(PG_FUNCTION_ARGS); 00431 extern Datum areajoinsel(PG_FUNCTION_ARGS); 00432 extern Datum positionsel(PG_FUNCTION_ARGS); 00433 extern Datum positionjoinsel(PG_FUNCTION_ARGS); 00434 extern Datum contsel(PG_FUNCTION_ARGS); 00435 extern Datum contjoinsel(PG_FUNCTION_ARGS); 00436 00437 #endif /* GEO_DECLS_H */
1.7.1