/********************************************************************** * $Id$ * * PostGIS - Spatial Types for PostgreSQL * Copyright 2009 Paul Ramsey * * This is free software; you can redistribute and/or modify it under * the terms of the GNU General Public Licence. See the COPYING file. * **********************************************************************/ #ifndef _LWGEODETIC_H #define _LWGEODETIC_H 1 /* For NAN */ #define _GNU_SOURCE #include #ifndef NAN #define NAN 0.0/0.0 #endif extern int gbox_geocentric_slow; #define POW2(x) ((x)*(x)) /** * Point in spherical coordinates on the world. Units of radians. */ typedef struct { double lon; double lat; } GEOGRAPHIC_POINT; /** * Two-point great circle segment from a to b. */ typedef struct { GEOGRAPHIC_POINT start; GEOGRAPHIC_POINT end; } GEOGRAPHIC_EDGE; /** * Holder for sorting points in distance algorithm */ typedef struct { double measure; uint32_t index; } DISTANCE_ORDER; /** * Conversion functions */ #define deg2rad(d) (PI * (d) / 180.0) #define rad2deg(r) (180.0 * (r) / PI) /** * Ape a java function */ #define signum(a) ((a) < 0 ? -1 : ((a) > 0 ? 1 : (a))) /* * Geodetic calculations */ void geog2cart(const GEOGRAPHIC_POINT *g, POINT3D *p); void cart2geog(const POINT3D *p, GEOGRAPHIC_POINT *g); void robust_cross_product(const GEOGRAPHIC_POINT *p, const GEOGRAPHIC_POINT *q, POINT3D *a); void x_to_z(POINT3D *p); void y_to_z(POINT3D *p); int edge_point_on_plane(const GEOGRAPHIC_EDGE *e, const GEOGRAPHIC_POINT *p); int edge_point_in_cone(const GEOGRAPHIC_EDGE *e, const GEOGRAPHIC_POINT *p); int edge_contains_coplanar_point(const GEOGRAPHIC_EDGE *e, const GEOGRAPHIC_POINT *p); int edge_contains_point(const GEOGRAPHIC_EDGE *e, const GEOGRAPHIC_POINT *p); double z_to_latitude(double z, int top); int clairaut_cartesian(const POINT3D *start, const POINT3D *end, GEOGRAPHIC_POINT *g_top, GEOGRAPHIC_POINT *g_bottom); int clairaut_geographic(const GEOGRAPHIC_POINT *start, const GEOGRAPHIC_POINT *end, GEOGRAPHIC_POINT *g_top, GEOGRAPHIC_POINT *g_bottom); double sphere_distance(const GEOGRAPHIC_POINT *s, const GEOGRAPHIC_POINT *e); double sphere_distance_cartesian(const POINT3D *s, const POINT3D *e); int sphere_project(const GEOGRAPHIC_POINT *r, double distance, double azimuth, GEOGRAPHIC_POINT *n); int edge_calculate_gbox(const GEOGRAPHIC_EDGE *e, GBOX *gbox); int edge_calculate_gbox_slow(const GEOGRAPHIC_EDGE *e, GBOX *gbox); int edge_intersection(const GEOGRAPHIC_EDGE *e1, const GEOGRAPHIC_EDGE *e2, GEOGRAPHIC_POINT *g); double edge_distance_to_point(const GEOGRAPHIC_EDGE *e, const GEOGRAPHIC_POINT *gp, GEOGRAPHIC_POINT *closest); double edge_distance_to_edge(const GEOGRAPHIC_EDGE *e1, const GEOGRAPHIC_EDGE *e2, GEOGRAPHIC_POINT *closest1, GEOGRAPHIC_POINT *closest2); void geographic_point_init(double lon, double lat, GEOGRAPHIC_POINT *g); int ptarray_point_in_ring_winding(const POINTARRAY *pa, const POINT2D *pt_to_test); int lwpoly_covers_point2d(const LWPOLY *poly, const POINT2D *pt_to_test); int ptarray_point_in_ring(const POINTARRAY *pa, const POINT2D *pt_outside, const POINT2D *pt_to_test); double ptarray_area_sphere(const POINTARRAY *pa, const POINT2D *pt_outside); double latitude_degrees_normalize(double lat); double longitude_degrees_normalize(double lon); double ptarray_length_spheroid(const POINTARRAY *pa, const SPHEROID *s); int geographic_point_equals(const GEOGRAPHIC_POINT *g1, const GEOGRAPHIC_POINT *g2); int crosses_dateline(const GEOGRAPHIC_POINT *s, const GEOGRAPHIC_POINT *e); void point_shift(GEOGRAPHIC_POINT *p, double shift); double longitude_radians_normalize(double lon); double latitude_radians_normalize(double lat); void vector_sum(const POINT3D *a, const POINT3D *b, POINT3D *n); void normalize(POINT3D *p); double sphere_direction(const GEOGRAPHIC_POINT *s, const GEOGRAPHIC_POINT *e, double d); /* ** Prototypes for spheroid functions. */ double spheroid_distance(const GEOGRAPHIC_POINT *a, const GEOGRAPHIC_POINT *b, const SPHEROID *spheroid); double spheroid_direction(const GEOGRAPHIC_POINT *r, const GEOGRAPHIC_POINT *s, const SPHEROID *spheroid); int spheroid_project(const GEOGRAPHIC_POINT *r, const SPHEROID *spheroid, double distance, double azimuth, GEOGRAPHIC_POINT *g); #endif /* _LWGEODETIC_H */