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222 lines
6.3 KiB
C
222 lines
6.3 KiB
C
/*-------------------------------------------------------------------------
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*
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* geo_decls.h - Declarations for various 2D constructs.
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*
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*
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* Portions Copyright (c) 1996-2022, PostgreSQL Global Development Group
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* Portions Copyright (c) 1994, Regents of the University of California
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*
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* src/include/utils/geo_decls.h
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*
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* XXX These routines were not written by a numerical analyst.
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*
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* XXX I have made some attempt to flesh out the operators
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* and data types. There are still some more to do. - tgl 97/04/19
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*
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*-------------------------------------------------------------------------
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*/
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#ifndef GEO_DECLS_H
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#define GEO_DECLS_H
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#include <math.h>
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#include "fmgr.h"
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/*--------------------------------------------------------------------
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* Useful floating point utilities and constants.
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*--------------------------------------------------------------------
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*
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* "Fuzzy" floating-point comparisons: values within EPSILON of each other
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* are considered equal. Beware of normal reasoning about the behavior of
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* these comparisons, since for example FPeq does not behave transitively.
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*
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* Note that these functions are not NaN-aware and will give FALSE for
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* any case involving NaN inputs.
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*
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* Also note that these will give sane answers for infinite inputs,
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* where it's important to avoid computing Inf minus Inf; we do so
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* by eliminating equality cases before subtracting.
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*/
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#define EPSILON 1.0E-06
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#ifdef EPSILON
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#define FPzero(A) (fabs(A) <= EPSILON)
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static inline bool
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FPeq(double A, double B)
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{
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return A == B || fabs(A - B) <= EPSILON;
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}
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static inline bool
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FPne(double A, double B)
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{
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return A != B && fabs(A - B) > EPSILON;
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}
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static inline bool
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FPlt(double A, double B)
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{
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return A + EPSILON < B;
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}
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static inline bool
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FPle(double A, double B)
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{
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return A <= B + EPSILON;
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}
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static inline bool
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FPgt(double A, double B)
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{
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return A > B + EPSILON;
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}
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static inline bool
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FPge(double A, double B)
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{
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return A + EPSILON >= B;
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}
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#else
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#define FPzero(A) ((A) == 0)
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#define FPeq(A,B) ((A) == (B))
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#define FPne(A,B) ((A) != (B))
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#define FPlt(A,B) ((A) < (B))
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#define FPle(A,B) ((A) <= (B))
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#define FPgt(A,B) ((A) > (B))
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#define FPge(A,B) ((A) >= (B))
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#endif
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#define HYPOT(A, B) pg_hypot(A, B)
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/*---------------------------------------------------------------------
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* Point - (x,y)
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*-------------------------------------------------------------------*/
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typedef struct
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{
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float8 x,
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y;
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} Point;
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/*---------------------------------------------------------------------
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* LSEG - A straight line, specified by endpoints.
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*-------------------------------------------------------------------*/
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typedef struct
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{
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Point p[2];
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} LSEG;
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/*---------------------------------------------------------------------
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* PATH - Specified by vertex points.
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*-------------------------------------------------------------------*/
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typedef struct
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{
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int32 vl_len_; /* varlena header (do not touch directly!) */
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int32 npts;
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int32 closed; /* is this a closed polygon? */
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int32 dummy; /* padding to make it double align */
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Point p[FLEXIBLE_ARRAY_MEMBER];
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} PATH;
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/*---------------------------------------------------------------------
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* LINE - Specified by its general equation (Ax+By+C=0).
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*-------------------------------------------------------------------*/
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typedef struct
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{
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float8 A,
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B,
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C;
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} LINE;
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/*---------------------------------------------------------------------
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* BOX - Specified by two corner points, which are
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* sorted to save calculation time later.
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*-------------------------------------------------------------------*/
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typedef struct
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{
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Point high,
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low; /* corner POINTs */
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} BOX;
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/*---------------------------------------------------------------------
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* POLYGON - Specified by an array of doubles defining the points,
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* keeping the number of points and the bounding box for
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* speed purposes.
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*-------------------------------------------------------------------*/
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typedef struct
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{
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int32 vl_len_; /* varlena header (do not touch directly!) */
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int32 npts;
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BOX boundbox;
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Point p[FLEXIBLE_ARRAY_MEMBER];
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} POLYGON;
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/*---------------------------------------------------------------------
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* CIRCLE - Specified by a center point and radius.
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*-------------------------------------------------------------------*/
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typedef struct
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{
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Point center;
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float8 radius;
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} CIRCLE;
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/*
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* fmgr interface macros
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*
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* Path and Polygon are toastable varlena types, the others are just
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* fixed-size pass-by-reference types.
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*/
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#define DatumGetPointP(X) ((Point *) DatumGetPointer(X))
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#define PointPGetDatum(X) PointerGetDatum(X)
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#define PG_GETARG_POINT_P(n) DatumGetPointP(PG_GETARG_DATUM(n))
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#define PG_RETURN_POINT_P(x) return PointPGetDatum(x)
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#define DatumGetLsegP(X) ((LSEG *) DatumGetPointer(X))
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#define LsegPGetDatum(X) PointerGetDatum(X)
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#define PG_GETARG_LSEG_P(n) DatumGetLsegP(PG_GETARG_DATUM(n))
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#define PG_RETURN_LSEG_P(x) return LsegPGetDatum(x)
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#define DatumGetPathP(X) ((PATH *) PG_DETOAST_DATUM(X))
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#define DatumGetPathPCopy(X) ((PATH *) PG_DETOAST_DATUM_COPY(X))
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#define PathPGetDatum(X) PointerGetDatum(X)
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#define PG_GETARG_PATH_P(n) DatumGetPathP(PG_GETARG_DATUM(n))
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#define PG_GETARG_PATH_P_COPY(n) DatumGetPathPCopy(PG_GETARG_DATUM(n))
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#define PG_RETURN_PATH_P(x) return PathPGetDatum(x)
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#define DatumGetLineP(X) ((LINE *) DatumGetPointer(X))
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#define LinePGetDatum(X) PointerGetDatum(X)
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#define PG_GETARG_LINE_P(n) DatumGetLineP(PG_GETARG_DATUM(n))
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#define PG_RETURN_LINE_P(x) return LinePGetDatum(x)
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#define DatumGetBoxP(X) ((BOX *) DatumGetPointer(X))
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#define BoxPGetDatum(X) PointerGetDatum(X)
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#define PG_GETARG_BOX_P(n) DatumGetBoxP(PG_GETARG_DATUM(n))
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#define PG_RETURN_BOX_P(x) return BoxPGetDatum(x)
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#define DatumGetPolygonP(X) ((POLYGON *) PG_DETOAST_DATUM(X))
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#define DatumGetPolygonPCopy(X) ((POLYGON *) PG_DETOAST_DATUM_COPY(X))
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#define PolygonPGetDatum(X) PointerGetDatum(X)
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#define PG_GETARG_POLYGON_P(n) DatumGetPolygonP(PG_GETARG_DATUM(n))
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#define PG_GETARG_POLYGON_P_COPY(n) DatumGetPolygonPCopy(PG_GETARG_DATUM(n))
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#define PG_RETURN_POLYGON_P(x) return PolygonPGetDatum(x)
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#define DatumGetCircleP(X) ((CIRCLE *) DatumGetPointer(X))
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#define CirclePGetDatum(X) PointerGetDatum(X)
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#define PG_GETARG_CIRCLE_P(n) DatumGetCircleP(PG_GETARG_DATUM(n))
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#define PG_RETURN_CIRCLE_P(x) return CirclePGetDatum(x)
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/*
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* in geo_ops.c
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*/
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extern float8 pg_hypot(float8 x, float8 y);
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#endif /* GEO_DECLS_H */
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