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/*-------------------------------------------------------------------------
*
* 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 1.54 2008/01/01 19:45:59 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 */