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quadbin

CORE

You can learn more about Quadbins in the Spatial Indexes section of the documentation.

QUADBIN_BBOX

QUADBIN_BBOX(quadbin)

Description

Returns an array with the boundary box of a given Quadbin. This boundary box contains the minimum and maximum longitude and latitude. The output format is [West-South, East-North] or [min long, min lat, max long, max lat].

  • quadbin: INT64 Quadbin to get the bbox from.

Return type

ARRAY<FLOAT64>

Example

SELECT `carto-un`.carto.QUADBIN_BBOX(5207251884775047167);
-- -22.5
-- 21.943045533438188
-- 0.0
-- 40.979898069620127

QUADBIN_BOUNDARY

QUADBIN_BOUNDARY(quadbin)

Description

Returns the boundary for a given Quadbin as a polygon GEOGRAPHY with the same coordinates as given by the QUADBIN_BBOX function.

  • quadbin: INT64 Quadbin to get the boundary geography from.

Return type

GEOGRAPHY

Example

SELECT `carto-un`.carto.QUADBIN_BOUNDARY(5207251884775047167);
-- POLYGON((-22.5 40.9798980696201, -22.5 21.9430455334382, 0 21.9430455334382, 0 40.9798980696201, -22.5 40.9798980696201))

Quadbin Cell edges are spherical geodesics. The boundary edges can be interpreted as straight lines in other GIS tools, so to export the exact shape of the cells, use ST_GEOGFROM(ST_ASGEOJSON(geog). In this process, BigQuery will add intermediate points to preserve the geodesic curves.

QUADBIN_CENTER

QUADBIN_CENTER(quadbin)

Description

Returns the center of a given Quadbin. The center is the intersection point of the four immediate children Quadbins.

  • quadbin: INT64 Quadbin to get the center from.

Return type

GEOGRAPHY

Example

SELECT `carto-un`.carto.QUADBIN_CENTER(5207251884775047167);
-- POINT(-11.25 31.952162238025)

QUADBIN_FROMGEOGPOINT

QUADBIN_FROMGEOGPOINT(point, resolution)

Description

Returns the Quadbin of a given point at a given level of detail.

  • point: GEOGRAPHY point to get the Quadbin from.

  • resolution: INT64 level of detail or zoom.

Return type

INT64

Example

SELECT `carto-un`.carto.QUADBIN_FROMGEOGPOINT(ST_GEOGPOINT(-3.7038, 40.4168), 4);
-- 5207251884775047167

QUADBIN_FROMLONGLAT

QUADBIN_FROMLONGLAT(longitude, latitude, resolution)

Description

Returns the Quadbin representation of a point for a given level of detail and geographic coordinates.

  • longitude: FLOAT64 longitude (WGS84) of the point.

  • latitude: FLOAT64 latitude (WGS84) of the point.

  • resolution: INT64 level of detail or zoom.

Return type

INT64

Example

SELECT `carto-un`.carto.QUADBIN_FROMLONGLAT(-3.7038, 40.4168, 4);
-- 5207251884775047167

QUADBIN_FROMQUADKEY

QUADBIN_FROMQUADKEY(quadkey)

Description

Compute a quadbin index from a quadkey.

  • quadkey: STRING Quadkey representation of the index.

Return type

INT64

Example

SELECT `carto-un`.carto.QUADBIN_FROMQUADKEY('0331110121');
-- 5234261499580514303

QUADBIN_FROMZXY

QUADBIN_FROMZXY(z, x, y)

Description

Returns a Quadbin from z, x, y tile coordinates.

  • z: INT64 zoom level.

  • x: INT64 horizontal position of a tile.

  • y: INT64 vertical position of a tile.

Constraints

Tile coordinates x and y depend on the zoom level z. For both coordinates, the minimum value is 0, and the maximum value is two to the power of z, minus one (2^z - 1).

Note that the y coordinate increases from North to South, and the y coordinate from West to East.

Return type

INT64

Example

SELECT `carto-un`.carto.QUADBIN_FROMZXY(4, 7, 6);
-- 5207251884775047167

QUADBIN_ISVALID

QUADBIN_ISVALID(quadbin)

Description

Returns true when the given index is a valid Quadbin, false otherwise.

  • quadbin: INT64 Quadbin index.

Return type

BOOLEAN

Examples

SELECT `carto-un`.carto.QUADBIN_ISVALID(5207251884775047167);
-- true
SELECT `carto-un`.carto.QUADBIN_ISVALID(1234);
-- false

QUADBIN_KRING

QUADBIN_KRING(origin, size)

Description

Returns all Quadbin cell indexes in a filled square k-ring centered at the origin in no particular order.

  • origin: INT64 Quadbin index of the origin.

  • size: INT64 size of the ring (distance from the origin).

Return type

ARRAY<INT64>

Example

SELECT `carto-un`.carto.QUADBIN_KRING(5207251884775047167, 1);
-- 5207128739472736255
-- 5207234292589002751
-- 5207269476961091583
-- 5207146331658780671
-- 5207251884775047167
-- 5207287069147135999
-- 5207902795658690559
-- 5208008348774957055
-- 5208043533147045887

QUADBIN_KRING_DISTANCES

QUADBIN_KRING_DISTANCES(origin, size)

Description

Returns all Quadbin cell indexes and their distances in a filled square k-ring centered at the origin in no particular order.

  • origin: INT64 Quadbin index of the origin.

  • size: INT64 size of the ring (distance from the origin).

Return type

ARRAY<STRUCT<index INT64, distance INT64>>

Example

SELECT `carto-un`.carto.QUADBIN_KRING_DISTANCES(5207251884775047167, 1);
-- {"index": "5207128739472736255", "distance": "1"}
-- {"index": "5207234292589002751", "distance": "1"}
-- {"index": "5207269476961091583", "distance": "1"}
-- {"index": "5207146331658780671", "distance": "1"}
-- {"index": "5207251884775047167", "distance": "0"}
-- {"index": "5207287069147135999", "distance": "1"}
-- {"index": "5207902795658690559", "distance": "1"}
-- {"index": "5208008348774957055", "distance": "1"}
-- {"index": "5208043533147045887", "distance": "1"}

tip

The distance of the rings is computed as the Chebyshev distance.

QUADBIN_POLYFILL

QUADBIN_POLYFILL(geography, resolution)

Description

Returns an array of Quadbins that intersect with the given geography at a given level of detail.

  • geography: GEOGRAPHY geography to extract the Quadbins from.

  • resolution: INT64 level of detail or zoom.

Return type

ARRAY<INT64>

Example

SELECT `carto-un`.carto.QUADBIN_POLYFILL(
    ST_GEOGFROMTEXT('POLYGON ((-3.71219873428345 40.413365349070865, -3.7144088745117 40.40965661286395, -3.70659828186035 40.409525904775634, -3.71219873428345 40.413365349070865))'),
    17);
-- 5265786693153193983
-- 5265786693163941887
-- 5265786693164466175
-- 5265786693164204031
-- 5265786693164728319
-- 5265786693165514751

QUADBIN_RESOLUTION

QUADBIN_RESOLUTION(quadbin)

Description

Returns the resolution of the input Quadbin.

  • quadbin: INT64 Quadbin from which to get the resolution.

Return type

INT64

Example

SELECT `carto-un`.carto.QUADBIN_RESOLUTION(5207251884775047167);
-- 4

QUADBIN_SIBLING

QUADBIN_SIBLING(quadbin, direction)

Description

Returns the Quadbin directly next to the given Quadbin at the same resolution. The direction must be set in the corresponding argument and currently only horizontal/vertical neigbours are supported. It will return NULL if the sibling does not exist.

  • quadbin: INT64 Quadbin to get the sibling from.

  • direction: STRING 'right'|'left'|'up'|'down' direction to move in to extract the next sibling.

Return type

INT64

Example

SELECT `carto-un`.carto.QUADBIN_SIBLING(5207251884775047167, 'up');
-- 5207146331658780671

QUADBIN_TOCHILDREN

QUADBIN_TOCHILDREN(quadbin, resolution)

Description

Returns an array with the children Quadbins of a given Quadbin for a specific resolution. A children Quadbin is a Quadbin of higher level of detail that is contained by the current Quadbin. Each Quadbin has four direct children (at the next higher resolution).

  • quadbin: INT64 Quadbin to get the children from.

  • resolution: INT64 resolution of the desired children.

Return type

ARRAY<INT64>

Example

SELECT `carto-un`.carto.QUADBIN_TOCHILDREN(5207251884775047167, 5);
-- 5211742290262884351
-- 5211751086355906559
-- 5211746688309395455
-- 5211755484402417663

QUADBIN_TOPARENT

QUADBIN_TOPARENT(quadbin, resolution)

Description

Returns the parent (ancestor) Quadbin of a given Quadbin for a specific resolution. An ancestor of a given Quadbin is a Quadbin of smaller resolution that spatially contains it.

  • quadbin: INT64 Quadbin to get the parent from.

  • resolution: INT64 resolution of the desired parent.

Return type

INT64

Example

SELECT `carto-un`.carto.QUADBIN_TOPARENT(5207251884775047167, 3);
-- 5202783469519765503

QUADBIN_TOQUADKEY

QUADBIN_TOQUADKEY(quadbin)

Description

Compute a quadkey from a quadbin index.

  • quadbin: INT64 Quadbin index.

Return type

STRING

Example

SELECT `carto-un`.carto.QUADBIN_TOQUADKEY(5234261499580514303);
-- '0331110121'

QUADBIN_TOZXY

QUADBIN_TOZXY(quadbin)

Description

Returns the zoom level z and coordinates x, y for a given Quadbin.

  • quadbin: INT64 Quadbin from which to obtain the coordinates.

Return type

STRUCT<INT64, INT64, INT64>

Example

SELECT `carto-un`.carto.QUADBIN_TOZXY(5207251884775047167);
-- z  x  y
-- 4  7  6

EU flagThis project has received funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement No 960401.

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