quadbin

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].

Input parameters

• quadbin: BIGINT Quadbin to get the boundary box from.

Return type

SUPER

Example

SELECT carto.QUADBIN_BBOX(5207251884775047167);
-- -22.5
-- 21.943045533438188
-- 0.0
-- 40.97989806962013

QUADBIN_BOUNDARY

QUADBIN_BOUNDARY(quadbin)

Description

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

Input parameters

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

Return type

GEOMETRY

Example

SELECT carto.QUADBIN_BOUNDARY(5207251884775047167);
-- POLYGON ((-22.5 21.9430455334, -22.5 40.9798980696, 0 40.9798980696, 0 21.9430455334, -22.5 21.9430455334))

QUADBIN_CENTER

QUADBIN_CENTER(quadbin)

Description

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

Input parameters

• quadbin: BIGINT Quadbin to get the center from.

Return type

GEOMETRY

Example

SELECT carto.QUADBIN_CENTER(5207251884775047167);
-- POINT (-11.25 31.952162238)

QUADBIN_DISTANCE

QUADBIN_DISTANCE(origin, destination)

Description

Returns the Chebyshev distance between two quadbin indexes. The origin and destination indices must have the same resolution. Otherwise NULL will be returned.

Input parameters

• origin: BIGINT origin quadbin index.

• destination: BIGINT destination quadbin index.

Return type

BIGINT

Example

SELECT carto.QUADBIN_DISTANCE(5207251884775047167, 5207128739472736255);
-- 1

QUADBIN_FROMGEOGPOINT

QUADBIN_FROMGEOGPOINT(point, resolution)

Description

Returns the Quadbin of a given point at a requested resolution. This function is an alias for QUADBIN_FROMGEOPOINT.

Input parameters

• point: GEOMETRY point to get the Quadbin from.

• resolution: INT level of detail or zoom.

Return type

BIGINT

Example

SELECT carto.QUADBIN_FROMGEOGPOINT(ST_POINT(-3.7038, 40.4168), 4);
-- 5207251884775047167

QUADBIN_FROMLONGLAT

QUADBIN_FROMLONGLAT(longitude, latitude, resolution)

Description

Returns the Quadbin representation of a point for a requested resolution and geographic coordinates.

Input parameters

• longitude: FLOAT8 longitude (WGS84) of the point.

• latitude: FLOAT8 latitude (WGS84) of the point.

• resolution: INT level of detail or zoom.

Return type

BIGINT

Example

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

QUADBIN_FROMQUADKEY

QUADBIN_FROMQUADKEY(quadkey)

Description

Compute a quadbin index from a quadkey.

Input parameters

• quadkey: VARCHAR(MAX) Quadkey representation of the index.

Return type

BIGINT

Example

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

QUADBIN_FROMZXY

QUADBIN_FROMZXY(z, x, y)

Description

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

Input parameters

• z: BIGINT zoom level.

• x: BIGINT horizontal position of a tile.

• y: BIGINT 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).

Return type

BIGINT

Example

SELECT 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.

Input parameters

• quadbin: BIGINT Quadbin index.

Return type

BOOLEAN

Examples

SELECT carto.QUADBIN_ISVALID(5207251884775047167);
-- TRUE

SELECT carto.QUADBIN_ISVALID(1234);
-- FALSE

QUADBIN_KRING

QUADBIN_KRING(origin, size)

Description

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

Input parameters

• origin: BIGINT Quadbin index of the origin.

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

Return type

SUPER

Example

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

QUADBIN_KRING_DISTANCES

QUADBIN_KRING_DISTANCES(origin, size)

Description

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

Input parameters

• origin: BIGINT Quadbin index of the origin.

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

Return type

SUPER

Example

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

Input parameters

• geography: GEOMETRY geography to extract the Quadbins from.

• resolution: INT level of detail or zoom.

Return type

SUPER

Example

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

QUADBIN_POLYFILL_TABLE

QUADBIN_POLYFILL_TABLE(input_query, resolution, mode, output_table)

Description

Creates a table with the quadbin cell indexes contained in the geographies of the input query at a requested resolution. All the attributes except the geography are included in the output table.

Unlike QUADBIN_POLYFILL, which returns the cells as an array, this procedure writes the result directly to a table.

Input parameters

• input_query: VARCHAR(MAX) SELECT statement to polyfill. It must contain a column geom with the shape to cover. Additionally, other columns can be included.

• resolution: INT level of detail. The value must be between 0 and 26.

• mode: VARCHAR(MAX) <center|contains|intersects>. Accepted for forward compatibility. The native coverage produced by QUADBIN_POLYFILL is used regardless of the value; mode-specific containment will be supported in a future release.

• output_table: VARCHAR(MAX) qualified name of the output table, e.g. <my-schema>.<my-output-table>.

Return type

None — creates the named table as a side effect. The output table has columns:

• quadbin: BIGINT the quadbin cell index.

• The rest of columns included in input_query except geom.

Note

QUADBIN_POLYFILL is resolved through the AT Gateway, so the polyfill of each input geometry is bounded by the gateway response size. Very large single-geometry polyfills at high resolutions may exceed that bound.

Example

CALL carto.QUADBIN_POLYFILL_TABLE(
  'SELECT geom FROM <my-schema>.<my-table>',
  11, 'center',
  '<my-schema>.<my-output-table>'
);
-- The table `<my-schema>.<my-output-table>` will be created
-- with column: quadbin

QUADBIN_RESOLUTION

QUADBIN_RESOLUTION(quadbin)

Description

Returns the resolution of the input Quadbin.

Input parameters

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

Return type

BIGINT

Example

SELECT 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.

Input parameters

• quadbin: BIGINT Quadbin to get the sibling from.

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

Return type

BIGINT

Example

SELECT 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).

Input parameters

• quadbin: BIGINT Quadbin to get the children from.

• resolution: INT resolution of the desired children.

Return type

SUPER

Example

SELECT 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.

Input parameters

• quadbin: BIGINT Quadbin to get the parent from.

• resolution: INT resolution of the desired parent.

Return type

BIGINT

Example

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

QUADBIN_TOQUADKEY

QUADBIN_TOQUADKEY(quadbin)

Description

Compute a quadkey from a quadbin index.

Input parameters

• quadbin: BIGINT Quadbin index.

Return type

VARCHAR(MAX)

Example

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

QUADBIN_TOZXY

QUADBIN_TOZXY(quadbin)

Description

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

Input parameters

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

Return type

SUPER

Example

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