geo_decls.h
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上传日期:2007-01-07
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- /*-------------------------------------------------------------------------
- *
- * geo_decls.h - Declarations for various 2D constructs.
- *
- *
- * Copyright (c) 1994, Regents of the University of California
- *
- * $Id: geo_decls.h,v 1.23 1999/05/25 16:14:54 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 "access/attnum.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 bool path_contain_pt(PATH *path, Point *p);
- extern bool pt_contained_path(Point *p, PATH *path);
- 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 float64 areasel(Oid opid, Oid relid, AttrNumber attno,
- char *value, int32 flag);
- extern float64 areajoinsel(Oid opid, Oid relid1, AttrNumber attno1,
- Oid relid2, AttrNumber attno2);
- #endif /* GEO_DECLS_H */