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Showing content from https://r-spatial.github.io/s2/reference/s2_contains.html below:

S2 Geography Predicates — s2_contains • s2

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


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