PostGIS  2.5.7dev-r@@SVN_REVISION@@

◆ ptarray_area_sphere()

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).

Definition at line 1807 of file lwgeodetic.c.

1808 {
1809  uint32_t i;
1810  const POINT2D *p;
1811  GEOGRAPHIC_POINT a, b, c;
1812  double area = 0.0;
1813 
1814  /* Return zero on nonsensical inputs */
1815  if ( ! pa || pa->npoints < 4 )
1816  return 0.0;
1817 
1818  p = getPoint2d_cp(pa, 0);
1819  geographic_point_init(p->x, p->y, &a);
1820  p = getPoint2d_cp(pa, 1);
1821  geographic_point_init(p->x, p->y, &b);
1822 
1823  for ( i = 2; i < pa->npoints-1; i++ )
1824  {
1825  p = getPoint2d_cp(pa, i);
1826  geographic_point_init(p->x, p->y, &c);
1827  area += sphere_signed_area(&a, &b, &c);
1828  b = c;
1829  }
1830 
1831  return fabs(area);
1832 }
const POINT2D * getPoint2d_cp(const POINTARRAY *pa, uint32_t n)
Returns a POINT2D pointer into the POINTARRAY serialized_ptlist, suitable for reading from.
Definition: lwgeom_api.c:374
void geographic_point_init(double lon, double lat, GEOGRAPHIC_POINT *g)
Initialize a geographic point.
Definition: lwgeodetic.c:180
static double sphere_signed_area(const GEOGRAPHIC_POINT *a, const GEOGRAPHIC_POINT *b, const GEOGRAPHIC_POINT *c)
Computes the spherical area of a triangle.
Definition: lwgeodetic.c:741
Datum area(PG_FUNCTION_ARGS)
Point in spherical coordinates on the world.
Definition: lwgeodetic.h:53
double y
Definition: liblwgeom.h:331
double x
Definition: liblwgeom.h:331
uint32_t npoints
Definition: liblwgeom.h:374
unsigned int uint32_t
Definition: uthash.h:78

References area(), geographic_point_init(), getPoint2d_cp(), POINTARRAY::npoints, sphere_signed_area(), POINT2D::x, and POINT2D::y.

Referenced by lwgeom_area_sphere().

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