27 #define _LWGEODETIC_H 1
42 #define FP_TOLERANCE 1e-14
47 #define POW2(x) ((x)*(x))
79 #define deg2rad(d) (M_PI * (d) / 180.0)
80 #define rad2deg(r) (180.0 * (r) / M_PI)
86 #define PIR_NO_INTERACT 0x00
87 #define PIR_INTERSECTS 0x01
88 #define PIR_COLINEAR 0x02
89 #define PIR_A_TOUCH_RIGHT 0x04
90 #define PIR_A_TOUCH_LEFT 0x08
91 #define PIR_B_TOUCH_RIGHT 0x10
92 #define PIR_B_TOUCH_LEFT 0x20
int clairaut_geographic(const GEOGRAPHIC_POINT *start, const GEOGRAPHIC_POINT *end, GEOGRAPHIC_POINT *g_top, GEOGRAPHIC_POINT *g_bottom)
Computes the pole of the great circle disk which is the intersection of the great circle with the lin...
int lwpoly_covers_point2d(const LWPOLY *poly, const POINT2D *pt_to_test)
Given a polygon (lon/lat decimal degrees) and point (lon/lat decimal degrees) and a guaranteed outsid...
void normalize(POINT3D *p)
Normalize to a unit vector.
int lwline_covers_lwpoint(const LWLINE *lwline, const LWPOINT *lwpoint)
return LW_TRUE if any of the line segments covers the point
int lwpoly_intersects_line(const LWPOLY *lwpoly, const POINTARRAY *line)
Checks if any edges of lwpoly intersect with the line formed by the pointarray return LW_TRUE if any ...
double longitude_radians_normalize(double lon)
Convert a longitude to the range of -PI,PI.
int clairaut_cartesian(const POINT3D *start, const POINT3D *end, GEOGRAPHIC_POINT *g_top, GEOGRAPHIC_POINT *g_bottom)
Computes the pole of the great circle disk which is the intersection of the great circle with the lin...
void point_shift(GEOGRAPHIC_POINT *p, double shift)
Shift a point around by a number of radians.
int ptarray_point_in_ring(const POINTARRAY *pa, const POINT2D *pt_outside, const POINT2D *pt_to_test)
double sphere_distance_cartesian(const POINT3D *s, const POINT3D *e)
Given two unit vectors, calculate their distance apart in radians.
void vector_rotate(const POINT3D *v1, const POINT3D *v2, double angle, POINT3D *n)
Rotates v1 through an angle (in radians) within the plane defined by v1/v2, returns the rotated vecto...
double ptarray_area_sphere(const POINTARRAY *pa)
Returns the area of the ring (ring must be closed) in square radians (surface of the sphere is 4*PI).
int lwpoly_covers_pointarray(const LWPOLY *lwpoly, const POINTARRAY *pta)
return LW_TRUE if all points are inside the polygon
void vector_scale(POINT3D *a, double s)
Scale a vector out by a factor.
int ptarray_contains_point_sphere(const POINTARRAY *pa, const POINT2D *pt_outside, const POINT2D *pt_to_test)
This routine returns LW_TRUE if the stabline joining the pt_outside and pt_to_test crosses the ring a...
int edge_point_on_plane(const GEOGRAPHIC_EDGE *e, const GEOGRAPHIC_POINT *p)
Returns true if the point p is on the great circle plane.
double latitude_radians_normalize(double lat)
Convert a latitude to the range of -PI/2,PI/2.
double spheroid_distance(const GEOGRAPHIC_POINT *a, const GEOGRAPHIC_POINT *b, const SPHEROID *spheroid)
Computes the shortest distance along the surface of the spheroid between two points.
void cart2geog(const POINT3D *p, GEOGRAPHIC_POINT *g)
Convert cartesian coordinates on unit sphere to spherical coordinates.
int lwpoly_covers_lwline(const LWPOLY *poly, const LWLINE *line)
int lwpoly_pt_outside(const LWPOLY *poly, POINT2D *pt_outside)
int sphere_project(const GEOGRAPHIC_POINT *r, double distance, double azimuth, GEOGRAPHIC_POINT *n)
Given a starting location r, a distance and an azimuth to the new point, compute the location of the ...
void ll2cart(const POINT2D *g, POINT3D *p)
Convert lon/lat coordinates to cartesian coordinates on unit sphere.
int gbox_geocentric_slow
For testing geodetic bounding box, we have a magic global variable.
int edge_point_in_cone(const GEOGRAPHIC_EDGE *e, const GEOGRAPHIC_POINT *p)
Returns true if the point p is inside the cone defined by the two ends of the edge e.
double longitude_degrees_normalize(double lon)
Convert a longitude to the range of -180,180.
double z_to_latitude(double z, int top)
Used in great circle to compute the pole of the great circle.
void robust_cross_product(const GEOGRAPHIC_POINT *p, const GEOGRAPHIC_POINT *q, POINT3D *a)
Computes the cross product of two vectors using their lat, lng representations.
int lwpoly_covers_lwpoly(const LWPOLY *lwpoly1, const LWPOLY *lwpoly2)
Given a polygon1 check if all points of polygon2 are inside polygon1 and no intersections of the poly...
void geographic_point_init(double lon, double lat, GEOGRAPHIC_POINT *g)
Initialize a geographic point.
double ptarray_length_spheroid(const POINTARRAY *pa, const SPHEROID *s)
void unit_normal(const POINT3D *P1, const POINT3D *P2, POINT3D *normal)
Calculates the unit normal to two vectors, trying to avoid problems with over-narrow or over-wide cas...
int spheroid_project(const GEOGRAPHIC_POINT *r, const SPHEROID *spheroid, double distance, double azimuth, GEOGRAPHIC_POINT *g)
Given a location, an azimuth and a distance, computes the location of the projected point.
double sphere_distance(const GEOGRAPHIC_POINT *s, const GEOGRAPHIC_POINT *e)
Given two points on a unit sphere, calculate their distance apart in radians.
double sphere_direction(const GEOGRAPHIC_POINT *s, const GEOGRAPHIC_POINT *e, double d)
Given two points on a unit sphere, calculate the direction from s to e.
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)
Returns true if an intersection can be calculated, and places it in *g.
void vector_sum(const POINT3D *a, const POINT3D *b, POINT3D *n)
Calculate the sum of two vectors.
double spheroid_direction(const GEOGRAPHIC_POINT *r, const GEOGRAPHIC_POINT *s, const SPHEROID *spheroid)
Computes the direction of the geodesic joining two points on the spheroid.
uint32_t edge_intersects(const POINT3D *A1, const POINT3D *A2, const POINT3D *B1, const POINT3D *B2)
Returns non-zero if edges A and B interact.
int edge_calculate_gbox(const POINT3D *A1, const POINT3D *A2, GBOX *gbox)
The magic function, given an edge in spherical coordinates, calculate a 3D bounding box that fully co...
double edge_distance_to_point(const GEOGRAPHIC_EDGE *e, const GEOGRAPHIC_POINT *gp, GEOGRAPHIC_POINT *closest)
void geog2cart(const GEOGRAPHIC_POINT *g, POINT3D *p)
Convert spherical coordinates to cartesian coordinates on unit sphere.
int lwline_covers_lwline(const LWLINE *lwline1, const LWLINE *lwline2)
Check if first and last point of line2 are covered by line1 and then each point in between has to be ...
int edge_contains_point(const GEOGRAPHIC_EDGE *e, const GEOGRAPHIC_POINT *p)
Returns true if the point p is on the minor edge defined by the end points of e.
double edge_distance_to_edge(const GEOGRAPHIC_EDGE *e1, const GEOGRAPHIC_EDGE *e2, GEOGRAPHIC_POINT *closest1, GEOGRAPHIC_POINT *closest2)
Calculate the distance between two edges.
int geographic_point_equals(const GEOGRAPHIC_POINT *g1, const GEOGRAPHIC_POINT *g2)
int crosses_dateline(const GEOGRAPHIC_POINT *s, const GEOGRAPHIC_POINT *e)
double latitude_degrees_normalize(double lat)
Convert a latitude to the range of -90,90.
double vector_angle(const POINT3D *v1, const POINT3D *v2)
Angle between two unit vectors.
int edge_contains_coplanar_point(const GEOGRAPHIC_EDGE *e, const GEOGRAPHIC_POINT *p)
True if the longitude of p is within the range of the longitude of the ends of e.
Datum distance(PG_FUNCTION_ARGS)
Holder for sorting points in distance algorithm.
Two-point great circle segment from a to b.
Point in spherical coordinates on the world.