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geo_decls.h
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/*------------------------------------------------------------------------- * * geo_decls.h - Declarations for various 2D constructs. * * * Portions Copyright (c) 1996-2012, PostgreSQL Global Development Group * Portions Copyright (c) 1994, Regents of the University of California * * src/include/utils/geo_decls.h * * 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) pg_hypot(A, 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); extern double pg_hypot(double x, double y); /* 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_contain_pt(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); extern Datum gist_point_compress(PG_FUNCTION_ARGS); extern Datum gist_point_consistent(PG_FUNCTION_ARGS); extern Datum gist_point_distance(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 */