Geo functions

Geo functions are used to perform geographical calculations on spatial data. These functions are essential for applications that require distance measurements, location-based queries, and other geospatial operations.

greatCircleDistance

Calculates the shortest distance between two points on the surface of a sphere (Earth) using the great-circle formula. This function provides a good approximation for global distances.

Syntax

greatCircleDistance(lon1Deg, lat1Deg, lon2Deg, lat2Deg)

Arguments

  • lon1Deg: Float. Longitude of the first point in degrees. Range: [-180°, 180°].
  • lat1Deg: Float. Latitude of the first point in degrees. Range: [-90°, 90°].
  • lon2Deg: Float. Longitude of the second point in degrees. Range: [-180°, 180°].
  • lat2Deg: Float. Latitude of the second point in degrees. Range: [-90°, 90°].

Positive values correspond to North latitude and East longitude, and negative values correspond to South latitude and West longitude.

Returns

The distance between the two points on the Earth’s surface, in meters. Float64.

Generates an exception when the input parameter values fall outside of the range.

Example

SELECT greatCircleDistance(55.755831, 37.617673, -55.755831, -37.617673) AS greatCircleDistance

Result:

┌─greatCircleDistance─┐
│            14128352 │
└─────────────────────┘

geoDistance

Computes the distance between two geographical points on the WGS-84 ellipsoid, offering a more precise measurement than the great-circle formula. This function is recommended for accurate Earth distance calculations.

Syntax

geoDistance(lon1Deg, lat1Deg, lon2Deg, lat2Deg)

Arguments

  • lon1Deg: Float. Longitude of the first point in degrees. Range: [-180°, 180°].
  • lat1Deg: Float. Latitude of the first point in degrees. Range: [-90°, 90°].
  • lon2Deg: Float. Longitude of the second point in degrees. Range: [-180°, 180°].
  • lat2Deg: Float. Latitude of the second point in degrees. Range: [-90°, 90°].

Positive values correspond to North latitude and East longitude, and negative values correspond to South latitude and West longitude.

Returns

The distance between the two points on the Earth’s surface, in meters. Float64.

Generates an exception when the input parameter values fall outside of the range.

Example

SELECT geoDistance(38.8976, -77.0366, 39.9496, -75.1503) AS geoDistance

Result:

┌─geoDistance─┐
│   212458.73 │
└─────────────┘

greatCircleAngle

Determines the central angle between two points on a sphere, measured from the Earth's center. This calculation uses the great-circle formula.

Syntax

greatCircleAngle(lon1Deg, lat1Deg, lon2Deg, lat2Deg)

Arguments

  • lon1Deg: Float. Longitude of the first point in degrees.
  • lat1Deg: Float. Latitude of the first point in degrees.
  • lon2Deg: Float. Longitude of the second point in degrees.
  • lat2Deg: Float. Latitude of the second point in degrees.

Returns

The central angle between two points in degrees. Float64.

Example

SELECT greatCircleAngle(0, 0, 45, 0) AS arc

Result:

┌─arc─┐
│  45 │
└─────┘

pointInEllipses

Checks if a given point lies within any of a specified set of ellipses in a Cartesian coordinate system.

Syntax

pointInEllipses(x, y, x₀, y₀, a₀, b₀,...,xₙ, yₙ, aₙ, bₙ)

Arguments

  • x: Float. X-coordinate of the point.
  • y: Float. Y-coordinate of the point.
  • xᵢ: Float. X-coordinate of the center of the i-th ellipsis.
  • yᵢ: Float. Y-coordinate of the center of the i-th ellipsis.
  • aᵢ: Float. Semi-major axis length of the i-th ellipsis.
  • bᵢ: Float. Semi-minor axis length of the i-th ellipsis.

The input parameters must be 2+4⋅n, where n is the number of ellipses.

Returns

1 if the point is inside at least one of the ellipses; 0 if it's not. UInt8.

Example

SELECT pointInEllipses(10., 10., 10., 9.1, 1., 0.9999)

Result:

┌─pointInEllipses(10., 10., 10., 9.1, 1., 0.9999)─┐
│                                               1 │
└─────────────────────────────────────────────────┘

pointInPolygon

Determines if a specified point is located inside a given polygon on a 2D plane. Polygons can include holes.

Syntax

pointInPolygon((x, y), [(a, b), (c, d) ...], ...)

Arguments

  • (x, y): Tuple(Float, Float). Coordinates of a point on the plane.
  • [(a, b), (c, d) ...]: Array(Tuple(Float, Float)). Polygon vertices. Each vertex is represented by a pair of coordinates (a, b). Vertices should be specified in a clockwise or counterclockwise order. The minimum number of vertices is 3. The polygon must be constant.
  • The function also supports polygons with holes (cut out sections). In this case, add polygons that define the cut out sections using additional arguments of the function. The function doesn't support non-simply-connected polygons.

Returns

1 if the point is inside the polygon, 0 if it's not. UInt8. If the point is on the polygon boundary, the function may return either 0 or 1.

Example

SELECT pointInPolygon((3., 3.), [(6, 0), (8, 4), (5, 8), (0, 2)]) AS res

Result:

┌─res─┐
│   1 │
└─────┘

geohashEncode

Converts a given latitude and longitude into a geohash string, providing a compact representation of a geographical location.

Syntax

geohashEncode(longitude, latitude, [precision])

Arguments

  • longitude: Float. Longitude part of the coordinate you want to encode. Floating in range[-180°, 180°].
  • latitude: Float. Latitude part of the coordinate you want to encode. Floating in range [-90°, 90°].
  • precision: Int8. Optional. Length of the resulting encoded string. Defaults to 12. Integer in the range [1, 12].
  • All coordinate parameters must be of the same type: either Float32 or Float64.
  • For the precision parameter, any value less than 1 or greater than 12 is silently converted to 12.

Returns

Alphanumeric string of the encoded coordinate (modified version of the base32-encoding alphabet is used). String.

Example

SELECT geohashEncode(-5.60302734375, 42.593994140625, 0) AS res

Result:

┌─res──────────┐
│ ezs42d000000 │
└──────────────┘

geohashDecode

Decodes a geohash string back into its corresponding longitude and latitude coordinates.

Syntax

geohashDecode(hash_str)

Arguments

  • hash_str: String. Geohash-encoded string.

Returns

Tuple (longitude, latitude) of Float64 values of longitude and latitude. Tuple(Float64, Float64).

Example

SELECT geohashDecode('ezs42') AS res

Result:

┌─res─────────────────────────────┐
│ (-5.60302734375,42.60498046875) │
└─────────────────────────────────┘

geohashesInBox

Generates an array of geohash strings that cover a specified rectangular geographical area at a given precision.

Syntax

geohashesInBox(longitude_min, latitude_min, longitude_max, latitude_max, precision)

Arguments

  • longitude_min: Float. Minimum longitude. Range: [-180°, 180°].
  • latitude_min: Float. Minimum latitude. Range: [-90°, 90°].
  • longitude_max: Float. Maximum longitude. Range: [-180°, 180°].
  • latitude_max: Float. Maximum latitude. Range: [-90°, 90°].
  • precision: UInt8. Geohash precision. Range: [1, 12].

All coordinate parameters must be of the same type: either Float32 or Float64.

Returns

Array of precision-long strings of geohash-boxes covering provided area, you should not rely on order of items. Array(String). [] - Empty array if minimum latitude and longitude values aren’t less than corresponding maximum values.

Function throws an exception if resulting array is over 10’000’000 items long.

Example

SELECT geohashesInBox(24.48, 40.56, 24.785, 40.81, 4) AS thasos

Result:

┌─thasos──────────────────────────────────────┐
│ ['sx1q','sx1r','sx32','sx1w','sx1x','sx38'] │
└─────────────────────────────────────────────┘

h3IsValid

Checks if a given 64-bit unsigned integer represents a valid H3 index.

Syntax

h3IsValid(h3index)

Arguments

  • h3index: UInt64. Hexagon index number.

Returns

1: The number is a valid H3 index. UInt8. 0: The number isn't a valid H3 index. UInt8.

Example

SELECT h3IsValid(630814730351855103) AS h3IsValid

Result:

┌─h3IsValid─┐
│         1 │
└───────────┘

h3GetResolution

Retrieves the resolution level of a given H3 index.

Syntax

h3GetResolution(h3index)

Arguments

  • h3index: UInt64. Hexagon index number.

Returns

Index resolution. Range: [0, 15]. UInt8. If the index isn't valid, the function returns a random value. Use h3IsValid to verify the index.

Example

SELECT h3GetResolution(639821929606596015) AS resolution

Result:

┌─resolution─┐
│         14 │
└────────────┘

h3EdgeAngle

Calculates the average length of an H3 hexagon edge in degrees for a specified resolution.

Syntax

h3EdgeAngle(resolution)

Arguments

  • resolution: UInt8. Index resolution. Range: [0, 15].

Returns

The average length of the H3 hexagon edge in grades. Float64.

Example

SELECT h3EdgeAngle(10) AS edgeAngle

Result:

┌───────h3EdgeAngle(10)─┐
│ 0.0005927224846720883 │
└───────────────────────┘

h3EdgeLengthM

Calculates the average length of an H3 hexagon edge in meters for a specified resolution.

Syntax

h3EdgeLengthM(resolution)

Arguments

  • resolution: UInt8. Index resolution. Range: [0, 15].

Returns

The average length of the H3 hexagon edge in meters. Float64.

Example

SELECT h3EdgeLengthM(15) AS edgeLengthM

Result:

┌─edgeLengthM─┐
│ 0.509713273 │
└─────────────┘

h3EdgeLengthKm

Calculates the average length of an H3 hexagon edge in kilometers for a specified resolution.

Syntax

h3EdgeLengthKm(resolution)

Arguments

  • resolution: UInt8. Index resolution. Range: [0, 15].

Returns

The average length of the H3 hexagon edge in kilometers. Float64.

Example

SELECT h3EdgeLengthKm(15) AS edgeLengthKm

Result:

┌─edgeLengthKm─┐
│  0.000509713 │
└──────────────┘

geoToH3

Converts geographical coordinates (longitude, latitude) into an H3 index at a specified resolution.

Syntax

geoToH3(lon, lat, resolution)

Arguments

  • lon: Float64. Longitude.
  • lat: Float64. Latitude.
  • resolution: UInt8. Index resolution. Range: [0, 15].

Returns

Hexagon index number. UInt64. 0 in case of error.

Example

SELECT geoToH3(37.79506683, 55.71290588, 15) AS h3Index

Result:

┌────────────h3Index─┐
│ 644325524701193974 │
└────────────────────┘

h3ToGeo

Converts an H3 index back into its central geographical coordinates (longitude, latitude).

Syntax

h3ToGeo(h3Index)

Arguments

  • h3Index: UInt64. H3 Index.

Returns

A tuple consisting of two values: tuple(lon,lat). lon: Longitude. Float64. lat: Latitude. Float64.

Example

SELECT h3ToGeo(644325524701193974) AS coordinates

Result:

┌─coordinates───────────────────────────┐
│ (37.79506616830252,55.71290243145668) │
└───────────────────────────────────────┘

h3ToGeoBoundary

Returns an array of coordinate pairs that define the boundary vertices of a given H3 index.

Syntax

h3ToGeoBoundary(h3Index)

Arguments

  • h3Index: UInt64. H3 Index.

Returns

Array of pairs (lon, lat). Array(Tuple(Float64, Float64)).

Example

SELECT h3ToGeoBoundary(599686042433355775) AS coordinates

Result:

┌─h3ToGeoBoundary(599686042433355775)────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┐
│ [(37.2713558667319,-121.91508032705622),(37.353926450852256,-121.8622232890249),(37.42834118609435,-121.92354999630156),(37.42012867767779,-122.03773496427027),(37.33755608435299,-122.090428929044),(37.26319797461824,-122.02910130919001)] │
└────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┘

h3kRing

Retrieves an array of H3 indexes that are within a specified 'k' distance (number of hexagonal steps) from a central H3 index.

Syntax

h3kRing(h3index, k)

Arguments

  • h3index: UInt64. Hexagon index number.
  • k: Int. Radius.

Returns

Array of H3 indexes. Array(UInt64).

Example

SELECT arrayJoin(h3kRing(644325529233966508, 1)) AS h3index

Result:

┌────────────h3index─┐
│ 644325529233966508 │
│ 644325529233966497 │
│ 644325529233966510 │
│ 644325529233966504 │
│ 644325529233966509 │
│ 644325529233966355 │
│ 644325529233966354 │
└────────────────────┘

h3GetBaseCell

Extracts the base cell number from a given H3 index, indicating which of the 12 base cells the index belongs to.

Syntax

h3GetBaseCell(index)

Arguments

  • index: UInt64. Hexagon index number.

Returns

Hexagon base cell number. UInt8.

Example

SELECT h3GetBaseCell(612916788725809151) AS basecell

Result:

┌─basecell─┐
│       12 │
└──────────┘

h3HexAreaM2

Provides the average area of an H3 hexagon in square meters for a specified resolution.

Syntax

h3HexAreaM2(resolution)

Arguments

  • resolution: UInt8. Index resolution. Range: [0, 15].

Returns

Area in square meters. Float64.

Example

SELECT h3HexAreaM2(13) AS area

Result:

┌─area─┐
│ 43.9 │
└──────┘

h3HexAreaKm2

Provides the average area of an H3 hexagon in square kilometers for a specified resolution.

Syntax

h3HexAreaKm2(resolution)

Arguments

  • resolution: UInt8. Index resolution. Range: [0, 15].

Returns

Area in square kilometers. Float64.

Example

SELECT h3HexAreaKm2(13) AS area

Result:

┌──────area─┐
│ 0.0000439 │
└───────────┘

h3IndexesAreNeighbors

Checks if two given H3 indexes are adjacent (neighbors) on the H3 grid.

Syntax

h3IndexesAreNeighbors(index1, index2)

Arguments

  • index1: UInt64. Hexagon index number.
  • index2: UInt64. Hexagon index number.

Returns

1: Indexes are neighbours. UInt8. 0: Indexes aren't neighbours. UInt8.

Example

SELECT h3IndexesAreNeighbors(617420388351344639, 617420388352655359) AS n

Result:

┌─n─┐
│ 1 │
└───┘

h3ToChildren

Generates an array of H3 indexes that are direct children (finer resolution cells) of a given H3 index at a specified child resolution.

Syntax

h3ToChildren(index, resolution)

Arguments

  • index: UInt64. Hexagon index number.
  • resolution: UInt8. Index resolution. Range: [0, 15].

Returns

Array of the child H3-indexes. Array(UInt64).

Example

SELECT h3ToChildren(599405990164561919, 6) AS children

Result:

┌─children───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┐
│ [603909588852408319,603909588986626047,603909589120843775,603909589255061503,603909589389279231,603909589523496959,603909589657714687] │
└────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┘

h3ToParent

Determines the parent H3 index (coarser resolution cell) that contains a given H3 index at a specified parent resolution.

Syntax

h3ToParent(index, resolution)

Arguments

  • index: UInt64. Hexagon index number.
  • resolution: UInt8. Index resolution. Range: [0, 15].

Returns

Parent H3 index. UInt64.

Example

SELECT h3ToParent(599405990164561919, 3) AS parent

Result:

┌─────────────parent─┐
│ 590398848891879423 │
└────────────────────┘

h3ToString

Converts an H3 index from its 64-bit unsigned integer representation to its hexadecimal string representation.

Syntax

h3ToString(index)

Arguments

  • index: UInt64. Hexagon index number.

Returns

String representation of the H3 index. String.

Example

SELECT h3ToString(617420388352917503) AS h3_string

Result:

┌─h3_string───────┐
│ 89184926cdbffff │
└─────────────────┘

stringToH3

Converts an H3 index from its hexadecimal string representation back to its 64-bit unsigned integer representation.

Syntax

stringToH3(index_str)

Arguments

  • index_str: String. String representation of the H3 index.

Returns

Hexagon index number. Returns 0 on error. UInt64.

Example

SELECT stringToH3('89184926cc3ffff') AS index

Result:

┌──────────────index─┐
│ 617420388351344639 │
└────────────────────┘

h3IsResClassIII

Checks if an H3 index has a resolution that belongs to Class III, which affects the orientation of the hexagonal cells.

Syntax

h3IsResClassIII(index)

Arguments

  • index: UInt64. Hexagon index number.

Returns

1: Index has a resolution with Class III orientation. UInt8. 0: Index doesn't have a resolution with Class III orientation. UInt8.

Example

SELECT h3IsResClassIII(617420388352917503) AS res

Result:

┌─res─┐
│   1 │
└─────┘

h3IsPentagon

Determines if a given H3 index represents a pentagonal cell, which are rare exceptions in the otherwise hexagonal H3 grid.

Syntax

h3IsPentagon(index)

Arguments

  • index: UInt64. Hexagon index number.

Returns

1: Index represents a pentagonal cell. UInt8. 0: Index doesn't represent a pentagonal cell. UInt8.

Example

SELECT h3IsPentagon(644721767722457330) AS pentagon

Result:

┌─pentagon─┐
│        0 │
└──────────┘

h3GetFaces

Identifies the icosahedron faces that are intersected by a given H3 index.

Syntax

h3GetFaces(index)

Arguments

  • index: UInt64. Hexagon index number.

Returns

Array containing icosahedron faces intersected by a given H3 index. Array(UInt64).

Example

SELECT h3GetFaces(599686042433355775) AS faces

Result:

┌─faces─┐
│ [7]   │
└───────┘

h3CellAreaM2

Calculates the precise area of a specific H3 cell in square meters.

Syntax

h3CellAreaM2(index)

Arguments

  • index: UInt64. Hexagon index number.

Returns

Cell area in square meters. Float64.

Example

SELECT h3CellAreaM2(579205133326352383) AS area

Result:

┌───────────────area─┐
│ 4106166334463.9233 │
└────────────────────┘

h3CellAreaRads2

Calculates the precise area of a specific H3 cell in square radians.

Syntax

h3CellAreaRads2(index)

Arguments

  • index: UInt64. Hexagon index number.

Returns

Cell area in square radians. Float64.

Example

SELECT h3CellAreaRads2(579205133326352383) AS area

Result:

┌────────────────area─┐
│ 0.10116268528089567 │
└─────────────────────┘

h3ToCenterChild

Finds the H3 index of the central child cell at a finer resolution within a given H3 index.

Syntax

h3ToCenterChild(index, resolution)

Arguments

  • index: UInt64. Hexagon index number.
  • resolution: UInt8. Index resolution. Range: [0, 15].

Returns

H3 index of the center child contained by given H3 at the given resolution. UInt64.

Example

SELECT h3ToCenterChild(577023702256844799,1) AS centerToChild

Result:

┌──────centerToChild─┐
│ 581496515558637567 │
└────────────────────┘

h3ExactEdgeLengthM

Calculates the precise length of a unidirectional H3 edge in meters.

Syntax

h3ExactEdgeLengthM(index)

Arguments

  • index: UInt64. Hexagon index number.

Returns

Exact edge length in meters. Float64.

Example

SELECT h3ExactEdgeLengthM(1310277011704381439) AS exactEdgeLengthM

Result:

┌───exactEdgeLengthM─┐
│ 195449.63163407316 │
└────────────────────┘

h3ExactEdgeLengthKm

Calculates the precise length of a unidirectional H3 edge in kilometers.

Syntax

h3ExactEdgeLengthKm(index)

Arguments

  • index: UInt64. Hexagon index number.

Returns

Exact edge length in kilometers. Float64.

Example

SELECT h3ExactEdgeLengthKm(1310277011704381439) AS exactEdgeLengthKm

Result:

┌──exactEdgeLengthKm─┐
│ 195.44963163407317 │
└────────────────────┘

h3ExactEdgeLengthRads

Calculates the precise length of a unidirectional H3 edge in radians.

Syntax

h3ExactEdgeLengthRads(index)

Arguments

  • index: UInt64. Hexagon index number.

Returns

Exact edge length in radians. Float64.

Example

SELECT h3ExactEdgeLengthRads(1310277011704381439) AS exactEdgeLengthRads

Result:

┌──exactEdgeLengthRads─┐
│ 0.030677980118976447 │
└──────────────────────┘

h3NumHexagons

Returns the total count of unique H3 indexes that exist at a specified resolution level.

Syntax

h3NumHexagons(resolution)

Arguments

  • resolution: UInt8. Index resolution. Range: [0, 15].

Returns

Number of H3 indices. Int64.

Example

SELECT h3NumHexagons(3) AS numHexagons

Result:

┌─numHexagons─┐
│       41162 │
└─────────────┘

h3PointDistM

Computes the great-circle (Haversine) distance in meters between two geographical points specified by their latitude and longitude.

Syntax

h3PointDistM(lat1, lon1, lat2, lon2)

Arguments

  • lat1: Float64. Latitude of point1 in degrees.
  • lon1: Float64. Longitude of point1 in degrees.
  • lat2: Float64. Latitude of point2 in degrees.
  • lon2: Float64. Longitude of point2 in degrees.

Returns

Haversine or great circle distance in meters. Float64.

Example

select h3PointDistM(-10.0 ,0.0, 10.0, 0.0) as h3PointDistM

Result:

┌──────h3PointDistM─┐
│ 2223901.039504589 │
└───────────────────┘

h3PointDistKm

Computes the great-circle (Haversine) distance in kilometers between two geographical points specified by their latitude and longitude.

Syntax

h3PointDistKm(lat1, lon1, lat2, lon2)

Arguments

  • lat1: Float64. Latitude of point1 in degrees.
  • lon1: Float64. Longitude of point1 in degrees.
  • lat2: Float64. Latitude of point2 in degrees.
  • lon2: Float64. Longitude of point2 in degrees.

Returns

Haversine or great circle distance in kilometers. Float64.

Example

select h3PointDistKm(-10.0 ,0.0, 10.0, 0.0) as h3PointDistKm

Result:

┌─────h3PointDistKm─┐
│ 2223.901039504589 │
└───────────────────┘

h3PointDistRads

Computes the great-circle (Haversine) distance in radians between two geographical points specified by their latitude and longitude.

Syntax

h3PointDistRads(lat1, lon1, lat2, lon2)

Arguments

  • lat1: Float64. Latitude of point1 in degrees.
  • lon1: Float64. Longitude of point1 in degrees.
  • lat2: Float64. Latitude of point2 in degrees.
  • lon2: Float64. Longitude of point2 in degrees.

Returns

Haversine or great circle distance in radians. Float64.

Example

select h3PointDistRads(-10.0 ,0.0, 10.0, 0.0) as h3PointDistRads

Result:

┌────h3PointDistRads─┐
│ 0.3490658503988659 │
└────────────────────┘

h3GetRes0Indexes

Returns an array containing all 12 H3 indexes at resolution 0, which are the coarsest cells in the H3 grid system.

Syntax

h3GetRes0Indexes()

Returns

Array of all the resolution 0 H3 indexes. Array(UInt64).

Example

select h3GetRes0Indexes as indexes

Result:

┌─indexes─────────────────────────────────────┐
│ [576495936675512319,576531121047601151,....]│
└─────────────────────────────────────────────┘

h3GetPentagonIndexes

Retrieves an array of all H3 indexes that represent pentagonal cells at a specified resolution.

Syntax

h3GetPentagonIndexes(resolution)

Arguments

  • resolution: UInt8. Index resolution. Range: [0, 15].

Returns

Array of all pentagon H3 indexes. Array(UInt64).

Example

SELECT h3GetPentagonIndexes(3) AS indexes

Result:

┌─indexes────────────────────────────────────────────────────────┐
│ [590112357393367039,590464201114255359,590816044835143679,...] │
└────────────────────────────────────────────────────────────────┘

h3Line

Generates an array of H3 indexes that form a geodesic path (shortest path on the sphere) between two specified H3 indexes.

Syntax

h3Line(start,end)

Arguments

  • start: UInt64. Hexagon index number that represents a starting point.
  • end: UInt64. Hexagon index number that represents an ending point.

Returns

Array of h3 indexes representing the line of indices between the two provided indices. Array(UInt64).

Example

 SELECT h3Line(590080540275638271,590103561300344831) as indexes

Result:

┌─indexes────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┐
│ [590080540275638271,590080471556161535,590080883873021951,590106516237844479,590104385934065663,590103630019821567,590103561300344831] │
└────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┘

h3Distance

Calculates the grid distance (number of hexagonal steps) between two H3 indexes.

Syntax

h3Distance(start,end)

Arguments

  • start: UInt64. Hexagon index number that represents a starting point.
  • end: UInt64. Hexagon index number that represents an ending point.

Returns

Number of grid cells. Int64.

Returns a negative number if finding the distance fails.

Example

 SELECT h3Distance(590080540275638271,590103561300344831) as distance

Result:

┌─distance─┐
│        7 │
└──────────┘

h3HexRing

Returns an array of H3 indexes that form a hexagonal ring around a central H3 index at a specified distance k.

Syntax

h3HexRing(index, k)

Arguments

  • index: UInt64. Hexagon index number that represents the origin.
  • k: UInt64. Distance.

Returns

Array of H3 indexes. Array(UInt64).

Example

 SELECT h3HexRing(590080540275638271, toUInt16(1)) AS hexRing

Result:

┌─hexRing─────────────────────────────────────────────────────────────────────────────────────────────────────────────┐
│ [590080815153545215,590080471556161535,590080677714591743,590077585338138623,590077447899185151,590079509483487231] │
└─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┘

h3GetUnidirectionalEdge

Creates a unidirectional H3 edge index from a specified origin H3 index to a destination H3 index.

Syntax

h3GetUnidirectionalEdge(originIndex, destinationIndex)

Arguments

  • originIndex: UInt64. Origin Hexagon index number.
  • destinationIndex: UInt64. Destination Hexagon index number.

Returns

Unidirectional Edge Hexagon Index number. UInt64.

Example

 SELECT h3GetUnidirectionalEdge(599686042433355775, 599686043507097599) as edge

Result:

┌────────────────edge─┐
│ 1248204388774707199 │
└─────────────────────┘

h3UnidirectionalEdgeIsValid

Checks if a given H3 index represents a valid unidirectional edge. Returns 1 if it's a unidirectional edge and 0 otherwise.

Syntax

h3UnidirectionalEdgeisValid(index)

Arguments

  • index: UInt64. Hexagon index number.

Returns

1: The H3 index is a valid unidirectional edge. UInt8. 0: The H3 index isn't a valid unidirectional edge. UInt8.

Example

 SELECT h3UnidirectionalEdgeIsValid(1248204388774707199) as validOrNot

Result:

┌─validOrNot─┐
│          1 │
└────────────┘

h3GetOriginIndexFromUnidirectionalEdge

Extracts the origin H3 index from a unidirectional H3 edge index.

Syntax

h3GetOriginIndexFromUnidirectionalEdge(edge)

Arguments

  • edge: UInt64. Hexagon index number that represents a unidirectional edge.

Returns

Origin Hexagon Index number. UInt64.

Example

 SELECT h3GetOriginIndexFromUnidirectionalEdge(1248204388774707197) as origin

Result:

┌─────────────origin─┐
│ 599686042433355773 │
└────────────────────┘

h3GetDestinationIndexFromUnidirectionalEdge

Extracts the destination H3 index from a unidirectional H3 edge index.

Syntax

h3GetDestinationIndexFromUnidirectionalEdge(edge)

Arguments

  • edge: UInt64. Hexagon index number that represents a unidirectional edge.

Returns

Destination Hexagon Index number. UInt64.

Example

 SELECT h3GetDestinationIndexFromUnidirectionalEdge(1248204388774707197) as destination

Result:

┌────────destination─┐
│ 599686043507097597 │
└────────────────────┘

h3GetIndexesFromUnidirectionalEdge

Retrieves both the origin and destination H3 indexes from a unidirectional H3 edge index.

Syntax

h3GetIndexesFromUnidirectionalEdge(edge)

Arguments

  • edge: UInt64. Hexagon index number that represents a unidirectional edge.

Returns

A tuple consisting of two values tuple(origin,destination):

  • origin: Origin Hexagon index number. UInt64.
  • destination: Destination Hexagon index number. UInt64.

Returns (0,0) if the provided input isn't valid.

Example

 SELECT h3GetIndexesFromUnidirectionalEdge(1248204388774707199) as indexes

Result:

┌─indexes─────────────────────────────────┐
│ (599686042433355775,599686043507097599) │
└─────────────────────────────────────────┘

h3GetUnidirectionalEdgesFromHexagon

Returns an array of all unidirectional H3 edge indexes originating from a given H3 hexagon.

Syntax

h3GetUnidirectionalEdgesFromHexagon(index)

Arguments

  • index: UInt64. Hexagon index number.

Returns

Array of h3 indexes representing each unidirectional edge. Array(UInt64).

Example

 SELECT h3GetUnidirectionalEdgesFromHexagon(599686042433355775) as edges

Result:

┌─edges─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┐
│ [1248204388774707199,1320261982812635135,1392319576850563071,1464377170888491007,1536434764926418943,1608492358964346879] │
└───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┘

h3GetUnidirectionalEdgeBoundary

Provides the geographical coordinates that define the boundary of a unidirectional H3 edge.

Syntax

h3GetUnidirectionalEdgeBoundary(index)

Arguments

  • index: UInt64. Hexagon index number that represents a unidirectional edge.

Returns

Array of pairs (lon, lat). Array(Tuple(Float64, Float64)).

Example

 SELECT h3GetUnidirectionalEdgeBoundary(1248204388774707199) as boundary

Result:

┌─boundary────────────────────────────────────────────────────────────────────────┐
│ [(37.42012867767779,-122.03773496427027),(37.33755608435299,-122.090428929044)] │
└─────────────────────────────────────────────────────────────────────────────────┘

WKT

Converts various internal Tinybird Geo data types into their Well-Known Text (WKT) string representation.

Syntax

WKT(geo_data)

Arguments

  • geo_data: Geo. A Tinybird Geo data type (Point, Ring, Polygon, MultiPolygon, LineString, MultiLineString).

Returns

The WKT string representation of the geometry. String.

  • WKT geometric object POINT is returned for a Point.
  • WKT geometric object POLYGON is returned for a Polygon
  • WKT geometric object MULTIPOLYGON is returned for a MultiPolygon.
  • WKT geometric object LINESTRING is returned for a LineString.
  • WKT geometric object MULTILINESTRING is returned for a MultiLineString.

Example

SELECT WKT((0., 0.))

Result:

POINT(0 0)

readWKTMultiPolygon

Parses a Well-Known Text (WKT) string representing a MultiPolygon and converts it into Tinybird's internal MultiPolygon data type.

Syntax

readWKTMultiPolygon(wkt_string)

Arguments

  • wkt_string: String. The input WKT string representing a MultiPolygon geometry.

Returns

MultiPolygon.

Example

SELECT
    toTypeName(readWKTMultiPolygon('MULTIPOLYGON(((2 0,10 0,10 10,0 10,2 0),(4 4,5 4,5 5,4 5,4 4)),((-10 -10,-10 -9,-9 10,-10 -10)))')) AS type,
    readWKTMultiPolygon('MULTIPOLYGON(((2 0,10 0,10 10,0 10,2 0),(4 4,5 4,5 5,4 5,4 4)),((-10 -10,-10 -9,-9 10,-10 -10)))') AS output FORMAT Markdown

Result:

typeoutput
MultiPolygon[[[(2,0),(10,0),(10,10),(0,10),(2,0)],[(4,4),(5,4),(5,5),(4,5),(4,4)]],[[(-10,-10),(-10,-9),(-9,10),(-10,-10)]]]

readWKTPolygon

Parses a Well-Known Text (WKT) string representing a Polygon and converts it into Tinybird's internal Polygon data type.

Syntax

readWKTPolygon(wkt_string)

Arguments

  • wkt_string: String. The input WKT string representing a Polygon geometry.

Returns

Polygon.

Example

SELECT
    toTypeName(readWKTPolygon('POLYGON((2 0,10 0,10 10,0 10,2 0))')) AS type,
    readWKTPolygon('POLYGON((2 0,10 0,10 10,0 10,2 0))') AS output
FORMAT Markdown

Result:

typeoutput
Polygon[[(2,0),(10,0),(10,10),(0,10),(2,0)]]

readWKTPoint

Parses a Well-Known Text (WKT) string representing a Point and converts it into Tinybird's internal Point data type.

Syntax

readWKTPoint(wkt_string)

Arguments

  • wkt_string: String. The input WKT string representing a Point geometry.

Returns

The function returns an internal representation of the Point geometry. Point.

Example

SELECT readWKTPoint('POINT (1.2 3.4)')

Result:

(1.2,3.4)

readWKTLineString

Parses a Well-Known Text (WKT) string representing a LineString and converts it into Tinybird's internal LineString data type.

Syntax

readWKTLineString(wkt_string)

Arguments

  • wkt_string: String. The input WKT string representing a LineString geometry.

Returns

The function returns an internal representation of the linestring geometry. LineString.

Example

SELECT readWKTLineString('LINESTRING (1 1, 2 2, 3 3, 1 1)')

Result:

[(1,1),(2,2),(3,3),(1,1)]

readWKTMultiLineString

Parses a Well-Known Text (WKT) string representing a MultiLineString and converts it into Tinybird's internal MultiLineString data type.

Syntax

readWKTMultiLineString(wkt_string)

Arguments

  • wkt_string: String. The input WKT string representing a MultiLineString geometry.

Returns

The function returns an internal representation of the multilinestring geometry. MultiLineString.

Example

SELECT readWKTMultiLineString('MULTILINESTRING ((1 1, 2 2, 3 3), (4 4, 5 5, 6 6))')

Result:

[[(1,1),(2,2),(3,3)],[(4,4),(5,5),(6,6)]]

readWKTRing

Parses a Well-Known Text (WKT) string representing a Polygon and extracts its outer boundary as a closed LineString (ring) in Tinybird's internal format.

Syntax

readWKTRing(wkt_string)

Arguments

  • wkt_string: String. The input WKT string representing a Polygon geometry.

Returns

The function returns an internal representation of the ring (closed linestring) geometry. Ring.

Example

SELECT readWKTRing('POLYGON ((1 1, 2 2, 3 3, 1 1))')

Result:

[(1,1),(2,2),(3,3),(1,1)]

polygonsWithinSpherical

Checks if one polygon is entirely contained within another polygon, treating coordinates as if they are on a perfect sphere.

Syntax

polygonsWithinSpherical(polygon1, polygon2)

Arguments

  • polygon1: MultiPolygon. The polygon that might contain the other.
  • polygon2: MultiPolygon. The polygon to check for containment.

Returns

0 for false, 1 for true. UInt8.

Example

select polygonsWithinSpherical([[[(4.3613577, 50.8651821), (4.349556, 50.8535879), (4.3602419, 50.8435626), (4.3830299, 50.8428851), (4.3904543, 50.8564867), (4.3613148, 50.8651279)]]], [[[(4.346693, 50.858306), (4.367945, 50.852455), (4.366227, 50.840809), (4.344961, 50.833264), (4.338074, 50.848677), (4.346693, 50.858306)]]])

Result:

0

polygonsDistanceSpherical

Calculates the minimum distance between any point in the first polygon and any point in the second polygon, assuming spherical coordinates.

Syntax

polygonsDistanceSpherical(polygon1, polygon2)

Arguments

  • polygon1: MultiPolygon. The first polygon.
  • polygon2: MultiPolygon. The second polygon.

Returns

Float64.

Example

SELECT polygonsDistanceSpherical([[[(0, 0), (0, 0.1), (0.1, 0.1), (0.1, 0)]]], [[[(10., 10.), (10., 40.), (40., 40.), (40., 10.), (10., 10.)]]])

Result:

0.24372872211133834

polygonsDistanceCartesian

Calculates the minimum distance between two polygons using Cartesian coordinates, which can offer higher precision for local areas.

Syntax

polygonsDistanceCartesian(polygon1, polygon2)

Arguments

  • polygon1: MultiPolygon. The first polygon.
  • polygon2: MultiPolygon. The second polygon.

Returns

Float64.

Example

SELECT polygonsDistanceCartesian([[[(0, 0), (0, 0.1), (0.1, 0.1), (0.1, 0)]]], [[[(10., 10.), (10., 40.), (40., 40.), (40., 10.), (10., 10.)]]])

Result:

14.000714267493642

polygonsEqualsCartesian

Compares two polygons to determine if they are geometrically identical in a Cartesian coordinate system.

Syntax

polygonsEqualsCartesian(polygon1, polygon2)

Arguments

  • polygon1: MultiPolygon. The first polygon.
  • polygon2: MultiPolygon. The second polygon.

Returns

0 for false, 1 for true. UInt8.

Example

SELECT polygonsEqualsCartesian([[[(1., 1.), (1., 4.), (4., 4.), (4., 1.)]]], [[[(1., 1.), (1., 4.), (4., 4.), (4., 1.), (1., 1.)]]])

Result:

1

polygonsSymDifferenceSpherical

Computes the symmetric difference (XOR) between two polygons, returning the areas that belong to one polygon but not both, using spherical coordinates.

Syntax

polygonsSymDifferenceSpherical(polygon1, polygon2)

Arguments

  • polygon1: MultiPolygon. The first polygon.
  • polygon2: MultiPolygon. The second polygon.

Returns

MultiPolygon.

Example

SELECT wkt(arraySort(polygonsSymDifferenceSpherical([[(50., 50.), (50., -50.), (-50., -50.), (-50., 50.), (50., 50.)], [(10., 10.), (10., 40.), (40., 40.), (40., 10.), (10., 10.)], [(-10., -10.), (-10., -40.), (-40., -40.), (-40., -10.), (-10., -10.)]], [[(-20., -20.), (-20., 20.), (20., 20.), (20., -20.), (-20., -20.)]])))

Result:

MULTIPOLYGON(((-20 -10.3067,-10 -10,-10 -20.8791,-20 -20,-20 -10.3067)),((10 20.8791,20 20,20 10.3067,10 10,10 20.8791)),((50 50,50 -50,-50 -50,-50 50,50 50),(20 10.3067,40 10,40 40,10 40,10 20.8791,-20 20,-20 -10.3067,-40 -10,-40 -40,-10 -40,-10 -20.8791,20 -20,20 10.3067)))

polygonsSymDifferenceCartesian

Computes the symmetric difference (XOR) between two polygons, returning the areas that belong to one polygon but not both, using Cartesian coordinates.

Syntax

polygonsSymDifferenceCartesian(polygon1, polygon2)

Arguments

  • polygon1: MultiPolygon. The first polygon.
  • polygon2: MultiPolygon. The second polygon.

Returns

MultiPolygon.

Example

SELECT wkt(polygonsSymDifferenceCartesian([[[(0, 0), (0, 3), (1, 2.9), (2, 2.6), (2.6, 2), (2.9, 1), (3, 0), (0, 0)]]], [[[(1., 1.), (1., 4.), (4., 4.), (4., 1.), (1., 1.)]]]))

Result:

MULTIPOLYGON(((1 2.9,1 1,2.9 1,3 0,0 0,0 3,1 2.9)),((1 2.9,1 4,4 4,4 1,2.9 1,2.6 2,2 2.6,1 2.9)))

polygonsIntersectionSpherical

Calculates the geometric intersection (AND) of two polygons, returning the area where they overlap, using spherical coordinates.

Syntax

polygonsIntersectionSpherical(polygon1, polygon2)

Arguments

  • polygon1: MultiPolygon. The first polygon.
  • polygon2: MultiPolygon. The second polygon.

Returns

MultiPolygon.

Example

SELECT wkt(arrayMap(a -> arrayMap(b -> arrayMap(c -> (round(c.1, 6), round(c.2, 6)), b), a), polygonsIntersectionSpherical([[[(4.3613577, 50.8651821), (4.349556, 50.8535879), (4.3602419, 50.8435626), (4.3830299, 50.8428851), (4.3904543, 50.8564867), (4.3613148, 50.8651279)]]], [[[(4.346693, 50.858306), (4.367945, 50.852455), (4.366227, 50.840809), (4.344961, 50.833264), (4.338074, 50.848677), (4.346693, 50.858306)]]])))

Result:

MULTIPOLYGON(((4.3666 50.8434,4.36024 50.8436,4.34956 50.8536,4.35268 50.8567,4.36794 50.8525,4.3666 50.8434)))

polygonsWithinCartesian

Checks if one polygon is entirely contained within another polygon, using Cartesian coordinates.

Syntax

polygonsWithinCartesian(polygon1, polygon2)

Arguments

  • polygon1: MultiPolygon. The first polygon.
  • polygon2: MultiPolygon. The second polygon.

Returns

0 for false, 1 for true. UInt8.

Example

SELECT polygonsWithinCartesian([[[(2., 2.), (2., 3.), (3., 3.), (3., 2.)]]], [[[(1., 1.), (1., 4.), (4., 4.), (4., 1.), (1., 1.)]]])

Result:

1

polygonConvexHullCartesian

Computes the convex hull of a polygon or MultiPolygon, which is the smallest convex shape that encloses all points of the input geometry, using Cartesian coordinates.

Syntax

polygonConvexHullCartesian(polygon)

Arguments

  • polygon: MultiPolygon. The input polygon.

Returns

Polygon.

Example

SELECT wkt(polygonConvexHullCartesian([[[(0., 0.), (0., 5.), (5., 5.), (5., 0.), (2., 3.)]]]))

Result:

POLYGON((0 0,0 5,5 5,5 0,0 0))

polygonAreaSpherical

Calculates the surface area of a polygon, treating its coordinates as if they are on a perfect sphere.

Syntax

polygonAreaSpherical(polygon)

Arguments

  • polygon: MultiPolygon. The input polygon.

Returns

Float64.

Example

SELECT round(polygonAreaSpherical([[[(4.346693, 50.858306), (4.367945, 50.852455), (4.366227, 50.840809), (4.344961, 50.833264), (4.338074, 50.848677), (4.346693, 50.858306)]]]), 14)

Result:

9.387704e-8

polygonsUnionSpherical

Computes the geometric union (OR) of two polygons, returning a new polygon that encompasses all areas covered by either input polygon, using spherical coordinates.

Syntax

polygonsUnionSpherical(polygon1, polygon2)

Arguments

  • polygon1: MultiPolygon. The first polygon.
  • polygon2: MultiPolygon. The second polygon.

Returns

MultiPolygon.

Example

SELECT wkt(polygonsUnionSpherical([[[(4.3613577, 50.8651821), (4.349556, 50.8535879), (4.3602419, 50.8435626), (4.3830299, 50.8428851), (4.3904543, 50.8564867), (4.3613148, 50.8651279)]]], [[[(4.346693, 50.858306), (4.367945, 50.852455), (4.366227, 50.840809), (4.344961, 50.833264), (4.338074, 50.848677), (4.346693, 50.858306)]]]))

Result:

MULTIPOLYGON(((4.36661 50.8434,4.36623 50.8408,4.34496 50.8333,4.33807 50.8487,4.34669 50.8583,4.35268 50.8567,4.36136 50.8652,4.36131 50.8651,4.39045 50.8565,4.38303 50.8429,4.36661 50.8434)))

polygonPerimeterSpherical

Calculates the perimeter of a polygon, treating its coordinates as if they are on a perfect sphere.

Syntax

polygonPerimeterSpherical(polygon)

Arguments

  • polygon: MultiPolygon. The input polygon.

Returns

Float64.

Example

SELECT polygonPerimeterSpherical([[[(0., 0.), (0., 1.), (1., 1.), (1., 0.), (0., 0.)]]]) AS perimeter

Result:

┌─perimeter─┐
│ 444794.76 │
└───────────┘

polygonsIntersectionCartesian

Calculates the geometric intersection (AND) of two polygons, returning the area where they overlap, using Cartesian coordinates.

Syntax

polygonsIntersectionCartesian(polygon1, polygon2)

Arguments

  • polygon1: MultiPolygon. The first polygon.
  • polygon2: MultiPolygon. The second polygon.

Returns

MultiPolygon.

Example

SELECT wkt(polygonsIntersectionCartesian([[[(0., 0.), (0., 3.), (1., 2.9), (2., 2.6), (2.6, 2.), (2.9, 1.), (3., 0.), (0., 0.)]]], [[[(1., 1.), (1., 4.), (4., 4.), (4., 1.), (1., 1.)]]]))

Result:

MULTIPOLYGON(((1 2.9,2 2.6,2.6 2,2.9 1,1 1,1 2.9)))

polygonAreaCartesian

Calculates the area of a polygon using Cartesian coordinates.

Syntax

polygonAreaCartesian(polygon)

Arguments

  • polygon: MultiPolygon. The input polygon.

Returns

Float64.

Example

SELECT polygonAreaCartesian([[[(0., 0.), (0., 5.), (5., 5.), (5., 0.)]]])

Result:

25

polygonPerimeterCartesian

Calculates the perimeter of a polygon using Cartesian coordinates.

Syntax

polygonPerimeterCartesian(polygon)

Arguments

  • polygon: MultiPolygon. The input polygon.

Returns

Float64.

Example

SELECT polygonPerimeterCartesian([[[(0., 0.), (0., 5.), (5., 5.), (5., 0.)]]])

Result:

15

polygonsUnionCartesian

Computes the geometric union (OR) of two polygons, returning a new polygon that encompasses all areas covered by either input polygon, using Cartesian coordinates.

Syntax

polygonsUnionCartesian(polygon1, polygon2)

Arguments

  • polygon1: MultiPolygon. The first polygon.
  • polygon2: MultiPolygon. The second polygon.

Returns

MultiPolygon.

Example

SELECT wkt(polygonsUnionCartesian([[[(0., 0.), (0., 3.), (1., 2.9), (2., 2.6), (2.6, 2.), (2.9, 1), (3., 0.), (0., 0.)]]], [[[(1., 1.), (1., 4.), (4., 4.), (4., 1.), (1., 1.)]]]))

Result:

MULTIPOLYGON(((1 2.9,1 4,4 4,4 1,2.9 1,3 0,0 0,0 3,1 2.9)))

geoToS2

Converts geographical coordinates (longitude, latitude) into an S2 point index, which is a unique 64-bit integer representing a location on a sphere.

Syntax

geoToS2(lon, lat)

Arguments

  • lon: Float64. Longitude.
  • lat: Float64. Latitude.

Returns

S2 point index. UInt64.

Example

SELECT geoToS2(37.79506683, 55.71290588) AS s2Index

Result:

┌─────────────s2Index─┐
│ 4704772434919038107 │
└─────────────────────┘

s2ToGeo

Converts an S2 point index back into its corresponding geographical coordinates (longitude, latitude).

Syntax

s2ToGeo(s2index)

Arguments

  • s2index: UInt64. S2 Index.

Returns

A tuple consisting of two values:

  • lon. Float64.
  • lat. Float64.

Example

SELECT s2ToGeo(4704772434919038107) AS s2Coodrinates

Result:

┌─s2Coodrinates────────────────────────┐
│ (37.79506681471008,55.7129059052841) │
└──────────────────────────────────────┘

s2GetNeighbors

Retrieves the S2 indexes of the four direct neighbors of a given S2 cell.

Syntax

s2GetNeighbors(s2index)

Arguments

  • s2index: UInt64. S2 Index.

Returns

An array consisting of 4 neighbor indexes: array[s2index1, s2index3, s2index2, s2index4]. Array(UInt64).

Example

SELECT s2GetNeighbors(5074766849661468672) AS s2Neighbors

Result:

┌─s2Neighbors───────────────────────────────────────────────────────────────────────┐
│ [5074766987100422144,5074766712222515200,5074767536856236032,5074767261978329088] │
└───────────────────────────────────────────────────────────────────────────────────┘

s2CellsIntersect

Determines if two S2 cells overlap or touch each other.

Syntax

s2CellsIntersect(s2index1, s2index2)

Arguments

  • s2index1: UInt64. S2 Index.
  • s2index2: UInt64. S2 Index.

Returns

1: If the cells intersect. UInt8. 0: If the cells don't intersect. UInt8.

Example

SELECT s2CellsIntersect(9926595209846587392, 9926594385212866560) AS intersect

Result:

┌─intersect─┐
│         1 │
└───────────┘

s2CapContains

Checks if a given S2 point is located within a specified spherical cap, defined by a center point and a radius in degrees.

Syntax

s2CapContains(center, degrees, point)

Arguments

  • center: UInt64. S2 point index corresponding to the cap.
  • degrees: Float64. Radius of the cap in degrees.
  • point: UInt64. S2 point index.

Returns

1: If the cap contains the S2 point index. UInt8. 0: If the cap doesn't contain the S2 point index. UInt8.

Example

SELECT s2CapContains(1157339245694594829, 1.0, 1157347770437378819) AS capContains

Result:

┌─capContains─┐
│           1 │
└─────────────┘

s2CapUnion

Computes the smallest spherical cap that completely encloses two given spherical caps.

Syntax

s2CapUnion(center1, radius1, center2, radius2)

Arguments

  • center1: UInt64. S2 point index corresponding to the first cap.
  • radius1: Float64. Radius of the first cap in degrees.
  • center2: UInt64. S2 point index corresponding to the second cap.
  • radius2: Float64. Radius of the second cap in degrees.

Returns

  • center: S2 point index corresponding the center of the smallest cap containing the two input caps. UInt64.
  • radius: Radius of the smallest cap containing the two input caps. Float64.

Example

SELECT s2CapUnion(3814912406305146967, 1.0, 1157347770437378819, 1.0) AS capUnion

Result:

┌─capUnion───────────────────────────────┐
│ (4534655147792050737,60.2088283994957) │
└────────────────────────────────────────┘

s2RectAdd

Expands an S2 rectangular region to include a specified S2 point, returning the new bounding rectangle.

Syntax

s2RectAdd(s2pointLow, s2pointHigh, s2Point)

Arguments

  • s2pointLow: UInt64. Low S2 point index corresponding to the rectangle.
  • s2pointHigh: UInt64. High S2 point index corresponding to the rectangle.
  • s2Point: UInt64. Target S2 point index that the bound rectangle should be grown to include.

Returns

  • s2PointLow: Low S2 cell id corresponding to the grown rectangle. UInt64.
  • s2PointHigh: Height S2 cell id corresponding to the grown rectangle. UInt64.

Example

SELECT s2RectAdd(5178914411069187297, 5177056748191934217, 5179056748191934217) AS rectAdd

Result:

┌─rectAdd───────────────────────────────────┐
│ (5179062030687166815,5177056748191934217) │
└───────────────────────────────────────────┘

s2RectContains

Checks if a given S2 rectangular region contains a specified S2 point.

Syntax

s2RectContains(s2PointLow, s2PointHi, s2Point)

Arguments

  • s2PointLow: UInt64. Low S2 point index corresponding to the rectangle.
  • s2PointHi: UInt64. High S2 point index corresponding to the rectangle.
  • s2Point: UInt64. Target S2 point index.

Returns

1: If the rectangle contains the given S2 point. UInt8. 0: If the rectangle doesn't contain the given S2 point. UInt8.

Example

SELECT s2RectContains(5179062030687166815, 5177056748191934217, 5177914411069187297) AS rectContains

Result:

┌─rectContains─┐
│            0 │
└──────────────┘

s2RectUnion

Computes the smallest S2 rectangular region that encompasses the combined area of two given S2 rectangles.

Syntax

s2RectUnion(s2Rect1PointLow, s2Rect1PointHi, s2Rect2PointLow, s2Rect2PointHi)

Arguments

  • s2Rect1PointLow: UInt64. Low S2 point index corresponding to the first rectangle.
  • s2Rect1PointHi: UInt64. High S2 point index corresponding to the first rectangle.
  • s2Rect2PointLow: UInt64. Low S2 point index corresponding to the second rectangle.
  • s2Rect2PointHi: UInt64. High S2 point index corresponding to the second rectangle.

Returns

  • s2UnionRect2PointLow: Low S2 cell id corresponding to the union rectangle. UInt64.
  • s2UnionRect2PointHi: High S2 cell id corresponding to the union rectangle. UInt64.

Example

SELECT s2RectUnion(5178914411069187297, 5177056748191934217, 5179062030687166815, 5177056748191934217) AS rectUnion

Result:

┌─rectUnion─────────────────────────────────┐
│ (5179062030687166815,5177056748191934217) │
└───────────────────────────────────────────┘

s2RectIntersection

Computes the S2 rectangular region that represents the overlapping area of two given S2 rectangles.

Syntax

s2RectIntersection(s2Rect1PointLow, s2Rect1PointHi, s2Rect2PointLow, s2Rect2PointHi)

Arguments

  • s2Rect1PointLow: UInt64. Low S2 point index corresponding to the first rectangle.
  • s2Rect1PointHi: UInt64. High S2 point index corresponding to the first rectangle.
  • s2Rect2PointLow: UInt64. Low S2 point index corresponding to the second rectangle.
  • s2Rect2PointHi: UInt64. High S2 point index corresponding to the second rectangle.

Returns

  • s2UnionRect2PointLow: Low S2 cell id corresponding to the rectangle containing the intersection of the given rectangles. UInt64.
  • s2UnionRect2PointHi: High S2 cell id corresponding to the rectangle containing the intersection of the given rectangles. UInt64.

Example

SELECT s2RectIntersection(5178914411069187297, 5177056748191934217, 5179062030687166815, 5177056748191934217) AS rectIntersection

Result:

┌─rectIntersection──────────────────────────┐
│ (5178914411069187297,5177056748191934217) │
└───────────────────────────────────────────┘

Svg

Converts various internal Tinybird Geo data types into their SVG (Scalable Vector Graphics) string representation for visualization.

Syntax

Svg(geometry,[style])

Aliases: SVG, svg

Arguments

  • geometry: Geo. Geo data.
  • style: String. Optional style name.

Returns

The SVG representation of the geometry. String.

  • SVG circle
  • SVG polygon
  • SVG path

Example

SELECT SVG((0., 0.))

Result:

<circle cx="0" cy="0" r="5" style=""/>
SELECT SVG([(0., 0.), (10, 0), (10, 10), (0, 10)])

Result:

<polygon points="0,0 0,10 10,10 10,0 0,0" style=""/>
SELECT SVG([[(0., 0.), (10, 0), (10, 10), (0, 10)], [(4., 4.), (5, 4), (5, 5), (4, 5)]])

Result:

<g fill-rule="evenodd"><path d="M 0,0 L 0,10 L 10,10 L 10,0 L 0,0M 4,4 L 5,4 L 5,5 L 4,5 L 4,4 z " style=""/></g>
Updated