/*------------------------------------------------------------------------- * * geo_decls.h - Declarations for various 2D constructs. * * * Portions Copyright (c) 1996-2000, PostgreSQL, Inc * Portions Copyright (c) 1994, Regents of the University of California * * $Id: geo_decls.h,v 1.28 2000/06/05 07:29:07 tgl 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 "access/attnum.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 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 FPnzero(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 size; /* XXX varlena */ 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 size; /* XXX varlena */ 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; /* * in geo_ops.h */ /* public point routines */ extern Point *point_in(char *str); extern char *point_out(Point *pt); extern bool point_left(Point *pt1, Point *pt2); extern bool point_right(Point *pt1, Point *pt2); extern bool point_above(Point *pt1, Point *pt2); extern bool point_below(Point *pt1, Point *pt2); extern bool point_vert(Point *pt1, Point *pt2); extern bool point_horiz(Point *pt1, Point *pt2); extern bool point_eq(Point *pt1, Point *pt2); extern bool point_ne(Point *pt1, Point *pt2); extern int32 pointdist(Point *p1, Point *p2); extern double *point_distance(Point *pt1, Point *pt2); extern double *point_slope(Point *pt1, Point *pt2); /* private routines */ extern double point_dt(Point *pt1, Point *pt2); extern double point_sl(Point *pt1, Point *pt2); extern Point *point(float8 *x, float8 *y); extern Point *point_add(Point *p1, Point *p2); extern Point *point_sub(Point *p1, Point *p2); extern Point *point_mul(Point *p1, Point *p2); extern Point *point_div(Point *p1, Point *p2); /* public lseg routines */ extern LSEG *lseg_in(char *str); extern char *lseg_out(LSEG *ls); extern bool lseg_intersect(LSEG *l1, LSEG *l2); extern bool lseg_parallel(LSEG *l1, LSEG *l2); extern bool lseg_perp(LSEG *l1, LSEG *l2); extern bool lseg_vertical(LSEG *lseg); extern bool lseg_horizontal(LSEG *lseg); extern bool lseg_eq(LSEG *l1, LSEG *l2); extern bool lseg_ne(LSEG *l1, LSEG *l2); extern bool lseg_lt(LSEG *l1, LSEG *l2); extern bool lseg_le(LSEG *l1, LSEG *l2); extern bool lseg_gt(LSEG *l1, LSEG *l2); extern bool lseg_ge(LSEG *l1, LSEG *l2); extern LSEG *lseg_construct(Point *pt1, Point *pt2); extern double *lseg_length(LSEG *lseg); extern double *lseg_distance(LSEG *l1, LSEG *l2); extern Point *lseg_center(LSEG *lseg); extern Point *lseg_interpt(LSEG *l1, LSEG *l2); extern double *dist_pl(Point *pt, LINE *line); extern double *dist_ps(Point *pt, LSEG *lseg); extern double *dist_ppath(Point *pt, PATH *path); extern double *dist_pb(Point *pt, BOX *box); extern double *dist_sl(LSEG *lseg, LINE *line); extern double *dist_sb(LSEG *lseg, BOX *box); extern double *dist_lb(LINE *line, BOX *box); extern Point *close_lseg(LSEG *l1, LSEG *l2); extern Point *close_pl(Point *pt, LINE *line); extern Point *close_ps(Point *pt, LSEG *lseg); extern Point *close_pb(Point *pt, BOX *box); extern Point *close_sl(LSEG *lseg, LINE *line); extern Point *close_sb(LSEG *lseg, BOX *box); extern Point *close_ls(LINE *line, LSEG *lseg); extern Point *close_lb(LINE *line, BOX *box); extern bool on_pl(Point *pt, LINE *line); extern bool on_ps(Point *pt, LSEG *lseg); extern bool on_pb(Point *pt, BOX *box); extern bool on_ppath(Point *pt, PATH *path); extern bool on_sl(LSEG *lseg, LINE *line); extern bool on_sb(LSEG *lseg, BOX *box); extern bool inter_sl(LSEG *lseg, LINE *line); extern bool inter_sb(LSEG *lseg, BOX *box); extern bool inter_lb(LINE *line, BOX *box); /* private lseg routines */ /* public line routines */ extern LINE *line_in(char *str); extern char *line_out(LINE *line); extern Point *line_interpt(LINE *l1, LINE *l2); extern double *line_distance(LINE *l1, LINE *l2); extern LINE *line_construct_pp(Point *pt1, Point *pt2); extern bool line_intersect(LINE *l1, LINE *l2); extern bool line_parallel(LINE *l1, LINE *l2); extern bool line_perp(LINE *l1, LINE *l2); extern bool line_vertical(LINE *line); extern bool line_horizontal(LINE *line); extern bool line_eq(LINE *l1, LINE *l2); /* private line routines */ /* public box routines */ extern BOX *box_in(char *str); extern char *box_out(BOX *box); extern bool box_same(BOX *box1, BOX *box2); extern bool box_overlap(BOX *box1, BOX *box2); extern bool box_overleft(BOX *box1, BOX *box2); extern bool box_left(BOX *box1, BOX *box2); extern bool box_right(BOX *box1, BOX *box2); extern bool box_overright(BOX *box1, BOX *box2); extern bool box_contained(BOX *box1, BOX *box2); extern bool box_contain(BOX *box1, BOX *box2); extern bool box_below(BOX *box1, BOX *box2); extern bool box_above(BOX *box1, BOX *box2); extern bool box_lt(BOX *box1, BOX *box2); extern bool box_gt(BOX *box1, BOX *box2); extern bool box_eq(BOX *box1, BOX *box2); extern bool box_le(BOX *box1, BOX *box2); extern bool box_ge(BOX *box1, BOX *box2); extern Point *box_center(BOX *box); extern double *box_area(BOX *box); extern double *box_width(BOX *box); extern double *box_height(BOX *box); extern double *box_distance(BOX *box1, BOX *box2); extern Point *box_center(BOX *box); extern BOX *box_intersect(BOX *box1, BOX *box2); extern LSEG *box_diagonal(BOX *box); /* private routines */ extern double box_dt(BOX *box1, BOX *box2); extern BOX *box(Point *p1, Point *p2); extern BOX *box_add(BOX *box, Point *p); extern BOX *box_sub(BOX *box, Point *p); extern BOX *box_mul(BOX *box, Point *p); extern BOX *box_div(BOX *box, Point *p); /* public path routines */ extern PATH *path_in(char *str); extern char *path_out(PATH *path); extern bool path_n_lt(PATH *p1, PATH *p2); extern bool path_n_gt(PATH *p1, PATH *p2); extern bool path_n_eq(PATH *p1, PATH *p2); extern bool path_n_le(PATH *p1, PATH *p2); extern bool path_n_ge(PATH *p1, PATH *p2); extern bool path_inter(PATH *p1, PATH *p2); extern double *path_distance(PATH *p1, PATH *p2); extern double *path_length(PATH *path); extern bool path_isclosed(PATH *path); extern bool path_isopen(PATH *path); extern int4 path_npoints(PATH *path); extern PATH *path_close(PATH *path); extern PATH *path_open(PATH *path); extern PATH *path_add(PATH *p1, PATH *p2); extern PATH *path_add_pt(PATH *path, Point *point); extern PATH *path_sub_pt(PATH *path, Point *point); extern PATH *path_mul_pt(PATH *path, Point *point); extern PATH *path_div_pt(PATH *path, Point *point); extern Point *path_center(PATH *path); extern POLYGON *path_poly(PATH *path); extern PATH *upgradepath(PATH *path); extern bool isoldpath(PATH *path); /* public polygon routines */ extern POLYGON *poly_in(char *s); extern char *poly_out(POLYGON *poly); extern bool poly_left(POLYGON *polya, POLYGON *polyb); extern bool poly_overleft(POLYGON *polya, POLYGON *polyb); extern bool poly_right(POLYGON *polya, POLYGON *polyb); extern bool poly_overright(POLYGON *polya, POLYGON *polyb); extern bool poly_same(POLYGON *polya, POLYGON *polyb); extern bool poly_overlap(POLYGON *polya, POLYGON *polyb); extern bool poly_contain(POLYGON *polya, POLYGON *polyb); extern bool poly_contained(POLYGON *polya, POLYGON *polyb); extern bool poly_contain_pt(POLYGON *poly, Point *p); extern bool pt_contained_poly(Point *p, POLYGON *poly); extern double *poly_distance(POLYGON *polya, POLYGON *polyb); extern int4 poly_npoints(POLYGON *poly); extern Point *poly_center(POLYGON *poly); extern BOX *poly_box(POLYGON *poly); extern PATH *poly_path(POLYGON *poly); extern POLYGON *box_poly(BOX *box); extern POLYGON *upgradepoly(POLYGON *poly); extern POLYGON *revertpoly(POLYGON *poly); /* private polygon routines */ /* public circle routines */ extern CIRCLE *circle_in(char *str); extern char *circle_out(CIRCLE *circle); extern bool circle_same(CIRCLE *circle1, CIRCLE *circle2); extern bool circle_overlap(CIRCLE *circle1, CIRCLE *circle2); extern bool circle_overleft(CIRCLE *circle1, CIRCLE *circle2); extern bool circle_left(CIRCLE *circle1, CIRCLE *circle2); extern bool circle_right(CIRCLE *circle1, CIRCLE *circle2); extern bool circle_overright(CIRCLE *circle1, CIRCLE *circle2); extern bool circle_contained(CIRCLE *circle1, CIRCLE *circle2); extern bool circle_contain(CIRCLE *circle1, CIRCLE *circle2); extern bool circle_below(CIRCLE *circle1, CIRCLE *circle2); extern bool circle_above(CIRCLE *circle1, CIRCLE *circle2); extern bool circle_eq(CIRCLE *circle1, CIRCLE *circle2); extern bool circle_ne(CIRCLE *circle1, CIRCLE *circle2); extern bool circle_lt(CIRCLE *circle1, CIRCLE *circle2); extern bool circle_gt(CIRCLE *circle1, CIRCLE *circle2); extern bool circle_le(CIRCLE *circle1, CIRCLE *circle2); extern bool circle_ge(CIRCLE *circle1, CIRCLE *circle2); extern bool circle_contain_pt(CIRCLE *circle, Point *point); extern bool pt_contained_circle(Point *point, CIRCLE *circle); extern CIRCLE *circle_add_pt(CIRCLE *circle, Point *point); extern CIRCLE *circle_sub_pt(CIRCLE *circle, Point *point); extern CIRCLE *circle_mul_pt(CIRCLE *circle, Point *point); extern CIRCLE *circle_div_pt(CIRCLE *circle, Point *point); extern double *circle_diameter(CIRCLE *circle); extern double *circle_radius(CIRCLE *circle); extern double *circle_distance(CIRCLE *circle1, CIRCLE *circle2); extern double *dist_pc(Point *point, CIRCLE *circle); extern double *dist_cpoly(CIRCLE *circle, POLYGON *poly); extern Point *circle_center(CIRCLE *circle); extern CIRCLE *circle(Point *center, float8 *radius); extern CIRCLE *box_circle(BOX *box); extern BOX *circle_box(CIRCLE *circle); extern CIRCLE *poly_circle(POLYGON *poly); extern POLYGON *circle_poly(int npts, CIRCLE *circle); /* private routines */ extern double *circle_area(CIRCLE *circle); extern double circle_dt(CIRCLE *circle1, CIRCLE *circle2); /* 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 */