/*-------------------------------------------------------------------------
 *
 * geo_decls.h - Declarations for various 2D constructs.
 *
 *
 * Copyright (c) 1994, Regents of the University of California
 *
 * $Id: geo_decls.h,v 1.2 1997/04/22 17:32:41 scrappy 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"

/*#ifndef FmgrIncluded -- seems like always included. (it's FMgrIncluded) AY */

/*--------------------------------------------------------------------
 * 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	FPeq(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))

/*--------------------------------------------------------------------
 * Memory management.
 *-------------------------------------------------------------------*/

#define	PALLOC(SIZE)		palloc(SIZE)
#define	PFREE(P)		pfree(P)
#define	PALLOCTYPE(TYPE)	(TYPE *) PALLOC(sizeof(TYPE))

/*#endif !FmgrIncluded */

/*---------------------------------------------------------------------
 * 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[0];	/* 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[0];	/* 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
 */
extern BOX *box_in(char *str);
extern char *box_out(BOX *box);
extern BOX *box_construct(double x1, double x2, double y1, double y2);
extern BOX *box_fill(BOX *result, double x1, double x2, double y1, double y2);
extern BOX *box_copy(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_length(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_ar(BOX *box);
extern double box_ln(BOX *box);
extern double box_ht(BOX *box);
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);

extern LINE *line_construct_pm(Point *pt, double m);
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);
extern double *line_distance(LINE *l1, LINE *l2);
extern Point *line_interpt(LINE *l1, LINE *l2);

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);

/* private routines */
extern double path_ln(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 POLYGON *path_poly(PATH *path);

extern Point *point_in(char *str);
extern char *point_out(Point *pt);
extern Point *point_construct(double x, double y);
extern Point *point_copy(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 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);

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 double *lseg_distance(LSEG *l1, LSEG *l2);
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_ppth(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 *interpt_sl(LSEG *lseg, LINE *line);
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_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 routines */
extern LSEG *lseg_construct(Point *pt1, Point *pt2);
extern void statlseg_construct(LSEG *lseg, Point *pt1, Point *pt2);
extern double lseg_dt(LSEG *l1, LSEG *l2);
extern void make_bound_box(POLYGON *poly);

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 int4 poly_npoints(POLYGON *poly);
extern BOX *poly_box(POLYGON *poly);
extern PATH *poly_path(POLYGON *poly);
extern POLYGON *box_poly(BOX *box);

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 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_area(CIRCLE *circle);
extern double *circle_diameter(CIRCLE *circle);
extern double *circle_radius(CIRCLE *circle);
extern double *circle_distance(CIRCLE *circle1, CIRCLE *circle2);
extern Point *circle_center(CIRCLE *circle);
extern CIRCLE *circle(Point *center, float8 *radius);
extern CIRCLE *poly_circle(POLYGON *poly);
extern POLYGON *circle_poly(int npts, CIRCLE *circle);

/* private routines */
extern double circle_ar(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 relid, AttrNumber attno,
	char *value, int32 flag);
extern float64 leftsel(Oid opid, Oid relid, AttrNumber attno,
	char *value, int32 flag);
extern float64 leftjoinsel(Oid opid, Oid relid, AttrNumber attno,
	char *value, int32 flag);
extern float64 contsel(Oid opid, Oid relid, AttrNumber attno,
	char *value, int32 flag);
extern float64 contjoinsel(Oid opid, Oid relid, AttrNumber attno,
	char *value, int32 flag);

#endif	/* GEO_DECLS_H */
