| /*------------------------------------------------------------------------- |
| * |
| * geo_decls.h - Declarations for various 2D constructs. |
| * |
| * |
| * Portions Copyright (c) 1996-2008, PostgreSQL Global Development Group |
| * Portions Copyright (c) 1994, Regents of the University of California |
| * |
| * $PostgreSQL: pgsql/src/include/utils/geo_decls.h,v 1.52 2007/01/05 22:19:59 momjian Exp $ |
| * |
| * NOTE |
| * These routines do *not* use the float types from adt/. |
| * |
| * XXX These routines were not written by a numerical analyst. |
| * |
| * XXX I have made some attempt to flesh out the operators |
| * and data types. There are still some more to do. - tgl 97/04/19 |
| * |
| *------------------------------------------------------------------------- |
| */ |
| #ifndef GEO_DECLS_H |
| #define GEO_DECLS_H |
| |
| #include <math.h> |
| |
| #include "fmgr.h" |
| |
| /*-------------------------------------------------------------------- |
| * Useful floating point utilities and constants. |
| *-------------------------------------------------------------------*/ |
| |
| |
| #define EPSILON 1.0E-06 |
| |
| #ifdef EPSILON |
| #define FPzero(A) (fabs(A) <= EPSILON) |
| #define FPeq(A,B) (fabs((A) - (B)) <= EPSILON) |
| #define FPne(A,B) (fabs((A) - (B)) > EPSILON) |
| #define FPlt(A,B) ((B) - (A) > EPSILON) |
| #define FPle(A,B) ((A) - (B) <= EPSILON) |
| #define FPgt(A,B) ((A) - (B) > EPSILON) |
| #define FPge(A,B) ((B) - (A) <= EPSILON) |
| #else |
| #define FPzero(A) ((A) == 0) |
| #define FPeq(A,B) ((A) == (B)) |
| #define FPne(A,B) ((A) != (B)) |
| #define FPlt(A,B) ((A) < (B)) |
| #define FPle(A,B) ((A) <= (B)) |
| #define FPgt(A,B) ((A) > (B)) |
| #define FPge(A,B) ((A) >= (B)) |
| #endif |
| |
| #define HYPOT(A, B) sqrt((A) * (A) + (B) * (B)) |
| |
| /*--------------------------------------------------------------------- |
| * Point - (x,y) |
| *-------------------------------------------------------------------*/ |
| typedef struct |
| { |
| double x, |
| y; |
| } Point; |
| |
| |
| /*--------------------------------------------------------------------- |
| * LSEG - A straight line, specified by endpoints. |
| *-------------------------------------------------------------------*/ |
| typedef struct |
| { |
| Point p[2]; |
| |
| double m; /* precomputed to save time, not in tuple */ |
| } LSEG; |
| |
| |
| /*--------------------------------------------------------------------- |
| * PATH - Specified by vertex points. |
| *-------------------------------------------------------------------*/ |
| typedef struct |
| { |
| int32 vl_len_; /* varlena header (do not touch directly!) */ |
| int32 npts; |
| int32 closed; /* is this a closed polygon? */ |
| int32 dummy; /* padding to make it double align */ |
| Point p[1]; /* variable length array of POINTs */ |
| } PATH; |
| |
| |
| /*--------------------------------------------------------------------- |
| * LINE - Specified by its general equation (Ax+By+C=0). |
| * If there is a y-intercept, it is C, which |
| * incidentally gives a freebie point on the line |
| * (if B=0, then C is the x-intercept). |
| * Slope m is precalculated to save time; if |
| * the line is not vertical, m == A. |
| *-------------------------------------------------------------------*/ |
| typedef struct |
| { |
| double A, |
| B, |
| C; |
| |
| double m; |
| } LINE; |
| |
| |
| /*--------------------------------------------------------------------- |
| * BOX - Specified by two corner points, which are |
| * sorted to save calculation time later. |
| *-------------------------------------------------------------------*/ |
| typedef struct |
| { |
| Point high, |
| low; /* corner POINTs */ |
| } BOX; |
| |
| /*--------------------------------------------------------------------- |
| * POLYGON - Specified by an array of doubles defining the points, |
| * keeping the number of points and the bounding box for |
| * speed purposes. |
| *-------------------------------------------------------------------*/ |
| typedef struct |
| { |
| int32 vl_len_; /* varlena header (do not touch directly!) */ |
| int32 npts; |
| BOX boundbox; |
| Point p[1]; /* variable length array of POINTs */ |
| } POLYGON; |
| |
| /*--------------------------------------------------------------------- |
| * CIRCLE - Specified by a center point and radius. |
| *-------------------------------------------------------------------*/ |
| typedef struct |
| { |
| Point center; |
| double radius; |
| } CIRCLE; |
| |
| /* |
| * fmgr interface macros |
| * |
| * Path and Polygon are toastable varlena types, the others are just |
| * fixed-size pass-by-reference types. |
| */ |
| |
| #define DatumGetPointP(X) ((Point *) DatumGetPointer(X)) |
| #define PointPGetDatum(X) PointerGetDatum(X) |
| #define PG_GETARG_POINT_P(n) DatumGetPointP(PG_GETARG_DATUM(n)) |
| #define PG_RETURN_POINT_P(x) return PointPGetDatum(x) |
| |
| #define DatumGetLsegP(X) ((LSEG *) DatumGetPointer(X)) |
| #define LsegPGetDatum(X) PointerGetDatum(X) |
| #define PG_GETARG_LSEG_P(n) DatumGetLsegP(PG_GETARG_DATUM(n)) |
| #define PG_RETURN_LSEG_P(x) return LsegPGetDatum(x) |
| |
| #define DatumGetPathP(X) ((PATH *) PG_DETOAST_DATUM(X)) |
| #define DatumGetPathPCopy(X) ((PATH *) PG_DETOAST_DATUM_COPY(X)) |
| #define PathPGetDatum(X) PointerGetDatum(X) |
| #define PG_GETARG_PATH_P(n) DatumGetPathP(PG_GETARG_DATUM(n)) |
| #define PG_GETARG_PATH_P_COPY(n) DatumGetPathPCopy(PG_GETARG_DATUM(n)) |
| #define PG_RETURN_PATH_P(x) return PathPGetDatum(x) |
| |
| #define DatumGetLineP(X) ((LINE *) DatumGetPointer(X)) |
| #define LinePGetDatum(X) PointerGetDatum(X) |
| #define PG_GETARG_LINE_P(n) DatumGetLineP(PG_GETARG_DATUM(n)) |
| #define PG_RETURN_LINE_P(x) return LinePGetDatum(x) |
| |
| #define DatumGetBoxP(X) ((BOX *) DatumGetPointer(X)) |
| #define BoxPGetDatum(X) PointerGetDatum(X) |
| #define PG_GETARG_BOX_P(n) DatumGetBoxP(PG_GETARG_DATUM(n)) |
| #define PG_RETURN_BOX_P(x) return BoxPGetDatum(x) |
| |
| #define DatumGetPolygonP(X) ((POLYGON *) PG_DETOAST_DATUM(X)) |
| #define DatumGetPolygonPCopy(X) ((POLYGON *) PG_DETOAST_DATUM_COPY(X)) |
| #define PolygonPGetDatum(X) PointerGetDatum(X) |
| #define PG_GETARG_POLYGON_P(n) DatumGetPolygonP(PG_GETARG_DATUM(n)) |
| #define PG_GETARG_POLYGON_P_COPY(n) DatumGetPolygonPCopy(PG_GETARG_DATUM(n)) |
| #define PG_RETURN_POLYGON_P(x) return PolygonPGetDatum(x) |
| |
| #define DatumGetCircleP(X) ((CIRCLE *) DatumGetPointer(X)) |
| #define CirclePGetDatum(X) PointerGetDatum(X) |
| #define PG_GETARG_CIRCLE_P(n) DatumGetCircleP(PG_GETARG_DATUM(n)) |
| #define PG_RETURN_CIRCLE_P(x) return CirclePGetDatum(x) |
| |
| |
| /* |
| * in geo_ops.h |
| */ |
| |
| /* public point routines */ |
| extern Datum point_in(PG_FUNCTION_ARGS); |
| extern Datum point_out(PG_FUNCTION_ARGS); |
| extern Datum point_recv(PG_FUNCTION_ARGS); |
| extern Datum point_send(PG_FUNCTION_ARGS); |
| extern Datum construct_point(PG_FUNCTION_ARGS); |
| extern Datum point_left(PG_FUNCTION_ARGS); |
| extern Datum point_right(PG_FUNCTION_ARGS); |
| extern Datum point_above(PG_FUNCTION_ARGS); |
| extern Datum point_below(PG_FUNCTION_ARGS); |
| extern Datum point_vert(PG_FUNCTION_ARGS); |
| extern Datum point_horiz(PG_FUNCTION_ARGS); |
| extern Datum point_eq(PG_FUNCTION_ARGS); |
| extern Datum point_ne(PG_FUNCTION_ARGS); |
| extern Datum point_distance(PG_FUNCTION_ARGS); |
| extern Datum point_slope(PG_FUNCTION_ARGS); |
| extern Datum point_add(PG_FUNCTION_ARGS); |
| extern Datum point_sub(PG_FUNCTION_ARGS); |
| extern Datum point_mul(PG_FUNCTION_ARGS); |
| extern Datum point_div(PG_FUNCTION_ARGS); |
| |
| /* private routines */ |
| extern double point_dt(Point *pt1, Point *pt2); |
| extern double point_sl(Point *pt1, Point *pt2); |
| |
| /* public lseg routines */ |
| extern Datum lseg_in(PG_FUNCTION_ARGS); |
| extern Datum lseg_out(PG_FUNCTION_ARGS); |
| extern Datum lseg_recv(PG_FUNCTION_ARGS); |
| extern Datum lseg_send(PG_FUNCTION_ARGS); |
| extern Datum lseg_intersect(PG_FUNCTION_ARGS); |
| extern Datum lseg_parallel(PG_FUNCTION_ARGS); |
| extern Datum lseg_perp(PG_FUNCTION_ARGS); |
| extern Datum lseg_vertical(PG_FUNCTION_ARGS); |
| extern Datum lseg_horizontal(PG_FUNCTION_ARGS); |
| extern Datum lseg_eq(PG_FUNCTION_ARGS); |
| extern Datum lseg_ne(PG_FUNCTION_ARGS); |
| extern Datum lseg_lt(PG_FUNCTION_ARGS); |
| extern Datum lseg_le(PG_FUNCTION_ARGS); |
| extern Datum lseg_gt(PG_FUNCTION_ARGS); |
| extern Datum lseg_ge(PG_FUNCTION_ARGS); |
| extern Datum lseg_construct(PG_FUNCTION_ARGS); |
| extern Datum lseg_length(PG_FUNCTION_ARGS); |
| extern Datum lseg_distance(PG_FUNCTION_ARGS); |
| extern Datum lseg_center(PG_FUNCTION_ARGS); |
| extern Datum lseg_interpt(PG_FUNCTION_ARGS); |
| extern Datum dist_pl(PG_FUNCTION_ARGS); |
| extern Datum dist_ps(PG_FUNCTION_ARGS); |
| extern Datum dist_ppath(PG_FUNCTION_ARGS); |
| extern Datum dist_pb(PG_FUNCTION_ARGS); |
| extern Datum dist_sl(PG_FUNCTION_ARGS); |
| extern Datum dist_sb(PG_FUNCTION_ARGS); |
| extern Datum dist_lb(PG_FUNCTION_ARGS); |
| extern Datum close_lseg(PG_FUNCTION_ARGS); |
| extern Datum close_pl(PG_FUNCTION_ARGS); |
| extern Datum close_ps(PG_FUNCTION_ARGS); |
| extern Datum close_pb(PG_FUNCTION_ARGS); |
| extern Datum close_sl(PG_FUNCTION_ARGS); |
| extern Datum close_sb(PG_FUNCTION_ARGS); |
| extern Datum close_ls(PG_FUNCTION_ARGS); |
| extern Datum close_lb(PG_FUNCTION_ARGS); |
| extern Datum on_pl(PG_FUNCTION_ARGS); |
| extern Datum on_ps(PG_FUNCTION_ARGS); |
| extern Datum on_pb(PG_FUNCTION_ARGS); |
| extern Datum on_ppath(PG_FUNCTION_ARGS); |
| extern Datum on_sl(PG_FUNCTION_ARGS); |
| extern Datum on_sb(PG_FUNCTION_ARGS); |
| extern Datum inter_sl(PG_FUNCTION_ARGS); |
| extern Datum inter_sb(PG_FUNCTION_ARGS); |
| extern Datum inter_lb(PG_FUNCTION_ARGS); |
| |
| /* public line routines */ |
| extern Datum line_in(PG_FUNCTION_ARGS); |
| extern Datum line_out(PG_FUNCTION_ARGS); |
| extern Datum line_recv(PG_FUNCTION_ARGS); |
| extern Datum line_send(PG_FUNCTION_ARGS); |
| extern Datum line_interpt(PG_FUNCTION_ARGS); |
| extern Datum line_distance(PG_FUNCTION_ARGS); |
| extern Datum line_construct_pp(PG_FUNCTION_ARGS); |
| extern Datum line_intersect(PG_FUNCTION_ARGS); |
| extern Datum line_parallel(PG_FUNCTION_ARGS); |
| extern Datum line_perp(PG_FUNCTION_ARGS); |
| extern Datum line_vertical(PG_FUNCTION_ARGS); |
| extern Datum line_horizontal(PG_FUNCTION_ARGS); |
| extern Datum line_eq(PG_FUNCTION_ARGS); |
| |
| /* public box routines */ |
| extern Datum box_in(PG_FUNCTION_ARGS); |
| extern Datum box_out(PG_FUNCTION_ARGS); |
| extern Datum box_recv(PG_FUNCTION_ARGS); |
| extern Datum box_send(PG_FUNCTION_ARGS); |
| extern Datum box_same(PG_FUNCTION_ARGS); |
| extern Datum box_overlap(PG_FUNCTION_ARGS); |
| extern Datum box_left(PG_FUNCTION_ARGS); |
| extern Datum box_overleft(PG_FUNCTION_ARGS); |
| extern Datum box_right(PG_FUNCTION_ARGS); |
| extern Datum box_overright(PG_FUNCTION_ARGS); |
| extern Datum box_below(PG_FUNCTION_ARGS); |
| extern Datum box_overbelow(PG_FUNCTION_ARGS); |
| extern Datum box_above(PG_FUNCTION_ARGS); |
| extern Datum box_overabove(PG_FUNCTION_ARGS); |
| extern Datum box_contained(PG_FUNCTION_ARGS); |
| extern Datum box_contain(PG_FUNCTION_ARGS); |
| extern Datum box_below_eq(PG_FUNCTION_ARGS); |
| extern Datum box_above_eq(PG_FUNCTION_ARGS); |
| extern Datum box_lt(PG_FUNCTION_ARGS); |
| extern Datum box_gt(PG_FUNCTION_ARGS); |
| extern Datum box_eq(PG_FUNCTION_ARGS); |
| extern Datum box_le(PG_FUNCTION_ARGS); |
| extern Datum box_ge(PG_FUNCTION_ARGS); |
| extern Datum box_area(PG_FUNCTION_ARGS); |
| extern Datum box_width(PG_FUNCTION_ARGS); |
| extern Datum box_height(PG_FUNCTION_ARGS); |
| extern Datum box_distance(PG_FUNCTION_ARGS); |
| extern Datum box_center(PG_FUNCTION_ARGS); |
| extern Datum box_intersect(PG_FUNCTION_ARGS); |
| extern Datum box_diagonal(PG_FUNCTION_ARGS); |
| extern Datum points_box(PG_FUNCTION_ARGS); |
| extern Datum box_add(PG_FUNCTION_ARGS); |
| extern Datum box_sub(PG_FUNCTION_ARGS); |
| extern Datum box_mul(PG_FUNCTION_ARGS); |
| extern Datum box_div(PG_FUNCTION_ARGS); |
| |
| /* public path routines */ |
| extern Datum path_area(PG_FUNCTION_ARGS); |
| extern Datum path_in(PG_FUNCTION_ARGS); |
| extern Datum path_out(PG_FUNCTION_ARGS); |
| extern Datum path_recv(PG_FUNCTION_ARGS); |
| extern Datum path_send(PG_FUNCTION_ARGS); |
| extern Datum path_n_lt(PG_FUNCTION_ARGS); |
| extern Datum path_n_gt(PG_FUNCTION_ARGS); |
| extern Datum path_n_eq(PG_FUNCTION_ARGS); |
| extern Datum path_n_le(PG_FUNCTION_ARGS); |
| extern Datum path_n_ge(PG_FUNCTION_ARGS); |
| extern Datum path_inter(PG_FUNCTION_ARGS); |
| extern Datum path_distance(PG_FUNCTION_ARGS); |
| extern Datum path_length(PG_FUNCTION_ARGS); |
| |
| extern Datum path_isclosed(PG_FUNCTION_ARGS); |
| extern Datum path_isopen(PG_FUNCTION_ARGS); |
| extern Datum path_npoints(PG_FUNCTION_ARGS); |
| |
| extern Datum path_close(PG_FUNCTION_ARGS); |
| extern Datum path_open(PG_FUNCTION_ARGS); |
| extern Datum path_add(PG_FUNCTION_ARGS); |
| extern Datum path_add_pt(PG_FUNCTION_ARGS); |
| extern Datum path_sub_pt(PG_FUNCTION_ARGS); |
| extern Datum path_mul_pt(PG_FUNCTION_ARGS); |
| extern Datum path_div_pt(PG_FUNCTION_ARGS); |
| |
| extern Datum path_center(PG_FUNCTION_ARGS); |
| extern Datum path_poly(PG_FUNCTION_ARGS); |
| |
| /* public polygon routines */ |
| extern Datum poly_in(PG_FUNCTION_ARGS); |
| extern Datum poly_out(PG_FUNCTION_ARGS); |
| extern Datum poly_recv(PG_FUNCTION_ARGS); |
| extern Datum poly_send(PG_FUNCTION_ARGS); |
| extern Datum poly_left(PG_FUNCTION_ARGS); |
| extern Datum poly_overleft(PG_FUNCTION_ARGS); |
| extern Datum poly_right(PG_FUNCTION_ARGS); |
| extern Datum poly_overright(PG_FUNCTION_ARGS); |
| extern Datum poly_below(PG_FUNCTION_ARGS); |
| extern Datum poly_overbelow(PG_FUNCTION_ARGS); |
| extern Datum poly_above(PG_FUNCTION_ARGS); |
| extern Datum poly_overabove(PG_FUNCTION_ARGS); |
| extern Datum poly_same(PG_FUNCTION_ARGS); |
| extern Datum poly_overlap(PG_FUNCTION_ARGS); |
| extern Datum poly_contain(PG_FUNCTION_ARGS); |
| extern Datum poly_contained(PG_FUNCTION_ARGS); |
| extern Datum poly_contain_pt(PG_FUNCTION_ARGS); |
| extern Datum pt_contained_poly(PG_FUNCTION_ARGS); |
| extern Datum poly_distance(PG_FUNCTION_ARGS); |
| extern Datum poly_npoints(PG_FUNCTION_ARGS); |
| extern Datum poly_center(PG_FUNCTION_ARGS); |
| extern Datum poly_box(PG_FUNCTION_ARGS); |
| extern Datum poly_path(PG_FUNCTION_ARGS); |
| extern Datum box_poly(PG_FUNCTION_ARGS); |
| |
| /* public circle routines */ |
| extern Datum circle_in(PG_FUNCTION_ARGS); |
| extern Datum circle_out(PG_FUNCTION_ARGS); |
| extern Datum circle_recv(PG_FUNCTION_ARGS); |
| extern Datum circle_send(PG_FUNCTION_ARGS); |
| extern Datum circle_same(PG_FUNCTION_ARGS); |
| extern Datum circle_overlap(PG_FUNCTION_ARGS); |
| extern Datum circle_overleft(PG_FUNCTION_ARGS); |
| extern Datum circle_left(PG_FUNCTION_ARGS); |
| extern Datum circle_right(PG_FUNCTION_ARGS); |
| extern Datum circle_overright(PG_FUNCTION_ARGS); |
| extern Datum circle_contained(PG_FUNCTION_ARGS); |
| extern Datum circle_contain(PG_FUNCTION_ARGS); |
| extern Datum circle_below(PG_FUNCTION_ARGS); |
| extern Datum circle_above(PG_FUNCTION_ARGS); |
| extern Datum circle_overbelow(PG_FUNCTION_ARGS); |
| extern Datum circle_overabove(PG_FUNCTION_ARGS); |
| extern Datum circle_eq(PG_FUNCTION_ARGS); |
| extern Datum circle_ne(PG_FUNCTION_ARGS); |
| extern Datum circle_lt(PG_FUNCTION_ARGS); |
| extern Datum circle_gt(PG_FUNCTION_ARGS); |
| extern Datum circle_le(PG_FUNCTION_ARGS); |
| extern Datum circle_ge(PG_FUNCTION_ARGS); |
| extern Datum circle_contain_pt(PG_FUNCTION_ARGS); |
| extern Datum pt_contained_circle(PG_FUNCTION_ARGS); |
| extern Datum circle_add_pt(PG_FUNCTION_ARGS); |
| extern Datum circle_sub_pt(PG_FUNCTION_ARGS); |
| extern Datum circle_mul_pt(PG_FUNCTION_ARGS); |
| extern Datum circle_div_pt(PG_FUNCTION_ARGS); |
| extern Datum circle_diameter(PG_FUNCTION_ARGS); |
| extern Datum circle_radius(PG_FUNCTION_ARGS); |
| extern Datum circle_distance(PG_FUNCTION_ARGS); |
| extern Datum dist_pc(PG_FUNCTION_ARGS); |
| extern Datum dist_cpoly(PG_FUNCTION_ARGS); |
| extern Datum circle_center(PG_FUNCTION_ARGS); |
| extern Datum cr_circle(PG_FUNCTION_ARGS); |
| extern Datum box_circle(PG_FUNCTION_ARGS); |
| extern Datum circle_box(PG_FUNCTION_ARGS); |
| extern Datum poly_circle(PG_FUNCTION_ARGS); |
| extern Datum circle_poly(PG_FUNCTION_ARGS); |
| extern Datum circle_area(PG_FUNCTION_ARGS); |
| |
| /* support routines for the GiST access method (access/gist/gistproc.c) */ |
| extern Datum gist_box_compress(PG_FUNCTION_ARGS); |
| extern Datum gist_box_decompress(PG_FUNCTION_ARGS); |
| extern Datum gist_box_union(PG_FUNCTION_ARGS); |
| extern Datum gist_box_picksplit(PG_FUNCTION_ARGS); |
| extern Datum gist_box_consistent(PG_FUNCTION_ARGS); |
| extern Datum gist_box_penalty(PG_FUNCTION_ARGS); |
| extern Datum gist_box_same(PG_FUNCTION_ARGS); |
| extern Datum gist_poly_compress(PG_FUNCTION_ARGS); |
| extern Datum gist_poly_consistent(PG_FUNCTION_ARGS); |
| extern Datum gist_circle_compress(PG_FUNCTION_ARGS); |
| extern Datum gist_circle_consistent(PG_FUNCTION_ARGS); |
| |
| /* geo_selfuncs.c */ |
| extern Datum areasel(PG_FUNCTION_ARGS); |
| extern Datum areajoinsel(PG_FUNCTION_ARGS); |
| extern Datum positionsel(PG_FUNCTION_ARGS); |
| extern Datum positionjoinsel(PG_FUNCTION_ARGS); |
| extern Datum contsel(PG_FUNCTION_ARGS); |
| extern Datum contjoinsel(PG_FUNCTION_ARGS); |
| |
| #endif /* GEO_DECLS_H */ |
