These functions operate two geography vectors (pairwise), and return a logical vector.

```
s2_contains(x, y, options = s2_options(model = "open"))
s2_within(x, y, options = s2_options(model = "open"))
s2_covered_by(x, y, options = s2_options(model = "closed"))
s2_covers(x, y, options = s2_options(model = "closed"))
s2_disjoint(x, y, options = s2_options())
s2_intersects(x, y, options = s2_options())
s2_equals(x, y, options = s2_options())
s2_intersects_box(
x,
lng1,
lat1,
lng2,
lat2,
detail = 1000,
options = s2_options()
)
s2_touches(x, y, options = s2_options())
s2_dwithin(x, y, distance, radius = s2_earth_radius_meters())
s2_prepared_dwithin(x, y, distance, radius = s2_earth_radius_meters())
```

- x
geography vectors. These inputs are passed to

`as_s2_geography()`

, so you can pass other objects (e.g., character vectors of well-known text) directly.- y
geography vectors. These inputs are passed to

`as_s2_geography()`

, so you can pass other objects (e.g., character vectors of well-known text) directly.- options
An

`s2_options()`

object describing the polygon/polyline model to use and the snap level.- lng1, lat1, lng2, lat2
A latitude/longitude range

- detail
The number of points with which to approximate non-geodesic edges.

- distance
A distance on the surface of the earth in the same units as

`radius`

.- radius
Radius of the earth. Defaults to the average radius of the earth in meters as defined by

`s2_earth_radius_meters()`

.

The geometry model indicates whether or not a geometry includes its boundaries.
Boundaries of line geometries are its end points.
OPEN geometries do not contain their boundary (`model = "open"`

); CLOSED
geometries (`model = "closed"`

) contain their boundary; SEMI-OPEN geometries
(`model = "semi-open"`

) contain half of their boundaries, such that when two polygons
do not overlap or two lines do not cross, no point exist that belong to
more than one of the geometries. (This latter form, half-closed, is
not present in the OpenGIS "simple feature access" (SFA) standard nor DE9-IM on
which that is based). The default values for `s2_contains()`

(open)
and covers/covered_by (closed) correspond to the SFA standard specification
of these operators.

Matrix versions of these predicates (e.g., `s2_intersects_matrix()`

).

BigQuery's geography function reference:

```
s2_contains(
"POLYGON ((0 0, 10 0, 10 10, 0 10, 0 0))",
c("POINT (5 5)", "POINT (-1 1)")
)
#> [1] TRUE FALSE
s2_within(
c("POINT (5 5)", "POINT (-1 1)"),
"POLYGON ((0 0, 10 0, 10 10, 0 10, 0 0))"
)
#> [1] TRUE FALSE
s2_covered_by(
"POLYGON ((0 0, 10 0, 10 10, 0 10, 0 0))",
c("POINT (5 5)", "POINT (-1 1)")
)
#> [1] FALSE FALSE
s2_covers(
"POLYGON ((0 0, 10 0, 10 10, 0 10, 0 0))",
c("POINT (5 5)", "POINT (-1 1)")
)
#> [1] TRUE FALSE
s2_disjoint(
"POLYGON ((0 0, 10 0, 10 10, 0 10, 0 0))",
c("POINT (5 5)", "POINT (-1 1)")
)
#> [1] FALSE TRUE
s2_intersects(
"POLYGON ((0 0, 10 0, 10 10, 0 10, 0 0))",
c("POINT (5 5)", "POINT (-1 1)")
)
#> [1] TRUE FALSE
s2_equals(
"POLYGON ((0 0, 10 0, 10 10, 0 10, 0 0))",
c(
"POLYGON ((0 0, 10 0, 10 10, 0 10, 0 0))",
"POLYGON ((10 0, 10 10, 0 10, 0 0, 10 0))",
"POLYGON ((-1 -1, 10 0, 10 10, 0 10, -1 -1))"
)
)
#> [1] TRUE TRUE FALSE
s2_intersects(
"POLYGON ((0 0, 10 0, 10 10, 0 10, 0 0))",
c("POINT (5 5)", "POINT (-1 1)")
)
#> [1] TRUE FALSE
s2_intersects_box(
c("POINT (5 5)", "POINT (-1 1)"),
0, 0, 10, 10
)
#> [1] TRUE FALSE
s2_touches(
"POLYGON ((0 0, 0 1, 1 1, 0 0))",
c("POINT (0 0)", "POINT (0.5 0.75)", "POINT (0 0.5)")
)
#> [1] TRUE FALSE FALSE
s2_dwithin(
"POLYGON ((0 0, 10 0, 10 10, 0 10, 0 0))",
c("POINT (5 5)", "POINT (-1 1)"),
0 # distance in meters
)
#> [1] TRUE FALSE
s2_dwithin(
"POLYGON ((0 0, 10 0, 10 10, 0 10, 0 0))",
c("POINT (5 5)", "POINT (-1 1)"),
1e6 # distance in meters
)
#> [1] TRUE TRUE
```