Geo functions¶

greatCircleDistance(lon1Deg, lat1Deg, lon2Deg, lat2Deg)

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

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

geoDistance(lon1Deg, lat1Deg, lon2Deg, lat2Deg)

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

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

greatCircleAngle(lon1Deg, lat1Deg, lon2Deg, lat2Deg)

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

┌─arc─┐
│  45 │
└─────┘

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

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

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

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

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

┌─res─┐
│   1 │
└─────┘

geohashEncode(longitude, latitude, [precision])

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

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

geohashDecode(hash_str)

SELECT geohashDecode('ezs42') AS res

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

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

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

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

h3IsValid(h3index)

SELECT h3IsValid(630814730351855103) AS h3IsValid

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

h3GetResolution(h3index)

SELECT h3GetResolution(639821929606596015) AS resolution

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

h3EdgeAngle(resolution)

SELECT h3EdgeAngle(10) AS edgeAngle

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

h3EdgeLengthM(resolution)

SELECT h3EdgeLengthM(15) AS edgeLengthM

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

h3EdgeLengthKm(resolution)

SELECT h3EdgeLengthKm(15) AS edgeLengthKm

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

geoToH3(lon, lat, resolution)

SELECT geoToH3(37.79506683, 55.71290588, 15) AS h3Index

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

h3ToGeo(h3Index)

SELECT h3ToGeo(644325524701193974) AS coordinates

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

h3ToGeoBoundary(h3Index)

SELECT h3ToGeoBoundary(644325524701193974) AS coordinates

┌─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(h3index, k)

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

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

h3GetBaseCell(index)

SELECT h3GetBaseCell(612916788725809151) AS basecell

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

h3HexAreaM2(resolution)

SELECT h3HexAreaM2(13) AS area

┌─area─┐
│ 43.9 │
└──────┘

h3HexAreaKm2(resolution)

SELECT h3HexAreaKm2(13) AS area

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

h3IndexesAreNeighbors(index1, index2)

SELECT h3IndexesAreNeighbors(617420388351344639, 617420388352655359) AS n

┌─n─┐
│ 1 │
└───┘

h3ToChildren(index, resolution)

SELECT h3ToChildren(599405990164561919, 6) AS children

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

h3ToParent(index, resolution)

SELECT h3ToParent(599405990164561919, 3) AS parent

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

h3ToString(index)

SELECT h3ToString(617420388352917503) AS h3_string

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

stringToH3(index_str)

SELECT stringToH3('89184926cc3ffff') AS index

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

h3GetResolution(index)

SELECT h3GetResolution(617420388352917503) AS res

┌─res─┐
│   9 │
└─────┘

h3IsResClassIII(index)

SELECT h3IsResClassIII(617420388352917503) AS res

┌─res─┐
│   1 │
└─────┘

h3IsPentagon(index)

SELECT h3IsPentagon(644721767722457330) AS pentagon

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

h3GetFaces(index)

SELECT h3GetFaces(599686042433355775) AS faces

┌─faces─┐
│ [7]   │
└───────┘

h3CellAreaM2(index)

SELECT h3CellAreaM2(579205133326352383) AS area

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

h3CellAreaRads2(index)

SELECT h3CellAreaRads2(579205133326352383) AS area

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

h3ToCenterChild(index, resolution)

SELECT h3ToCenterChild(577023702256844799,1) AS centerToChild

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

h3ExactEdgeLengthM(index)

SELECT h3ExactEdgeLengthM(1310277011704381439) AS exactEdgeLengthM;

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

h3ExactEdgeLengthKm(index)

SELECT h3ExactEdgeLengthKm(1310277011704381439) AS exactEdgeLengthKm;

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

h3ExactEdgeLengthRads(index)

SELECT h3ExactEdgeLengthRads(1310277011704381439) AS exactEdgeLengthRads;

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

h3NumHexagons(resolution)

SELECT h3NumHexagons(3) AS numHexagons

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

h3PointDistM(lat1, lon1, lat2, lon2)

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

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

h3PointDistKm(lat1, lon1, lat2, lon2)

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

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

h3PointDistRads(lat1, lon1, lat2, lon2)

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

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

h3GetRes0Indexes()

select h3GetRes0Indexes as indexes 

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

h3GetPentagonIndexes(resolution)

SELECT h3GetPentagonIndexes(3) AS indexes

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

h3Line(start,end)

 SELECT h3Line(590080540275638271,590103561300344831) as indexes

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

h3Distance(start,end)

 SELECT h3Distance(590080540275638271,590103561300344831) as distance

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

h3HexRing(index, k)

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

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

h3GetUnidirectionalEdge(originIndex, destinationIndex)

 SELECT h3GetUnidirectionalEdge(599686042433355775, 599686043507097599) as edge

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

h3UnidirectionalEdgeisValid(index)

 SELECT h3UnidirectionalEdgeIsValid(1248204388774707199) as validOrNot

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

h3GetOriginIndexFromUnidirectionalEdge(edge)

 SELECT h3GetOriginIndexFromUnidirectionalEdge(1248204388774707197) as origin

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

h3GetDestinationIndexFromUnidirectionalEdge(edge)

 SELECT h3GetDestinationIndexFromUnidirectionalEdge(1248204388774707197) as destination

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

h3GetIndexesFromUnidirectionalEdge(edge)

 SELECT h3GetIndexesFromUnidirectionalEdge(1248204388774707199) as indexes

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

h3GetUnidirectionalEdgesFromHexagon(index)

 SELECT h3GetUnidirectionalEdgesFromHexagon(1248204388774707199) as edges

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

h3GetUnidirectionalEdgeBoundary(index)

 SELECT h3GetUnidirectionalEdgeBoundary(1248204388774707199) as boundary

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

WKT(geo_data)

SELECT wkt((0., 0.))

POINT(0 0)

SELECT wkt([(0., 0.), (10., 0.), (10., 10.), (0., 10.)])

POLYGON((0 0,10 0,10 10,0 10))

SELECT wkt([[[(0., 0.), (10., 0.), (10., 10.), (0., 10.)], [(4., 4.), (5., 4.), (5., 5.), (4., 5.)]], [[(-10., -10.), (-10., -9.), (-9., 10.)]]])

MULTIPOLYGON(((0 0,10 0,10 10,0 10,0 0),(4 4,5 4,5 5,4 5,4 4)),((-10 -10,-10 -9,-9 10,-10 -10)))

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

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

readWKTPoint(wkt_string)

SELECT readWKTPoint('POINT (1.2 3.4)')

(1.2,3.4)

readWKTLineString(wkt_string)

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

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

readWKTMultiLineString(wkt_string)

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

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

readWKTRing(wkt_string)

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

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

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)]]])

0

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

0.24372872211133834

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

14.000714267493642

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

1

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.)]])))

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)))

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.)]]]))

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)))

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)]]])))

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)))

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

1

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

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

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)

9.387704e-8

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)]]]))

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)))

POLYGON((30.0107 -15.6462,30.0502 -15.6401,30.09 -15.6294,30.1301 -15.6237,30.1699 -15.6322,30.1956 -15.6491,30.2072 -15.6532,30.2231 -15.6497,30.231 -15.6447,30.2461 -15.6321,30.2549 -15.6289,30.2801 -15.6323,30.2962 -15.639,30.3281 -15.6524,30.3567 -15.6515,30.3963 -15.636,30.3977 -15.7168,30.3993 -15.812,30.4013 -15.9317,30.4026 -16.0012,30.5148 -16.0004,30.5866 -16,30.7497 -15.9989,30.8574 -15.9981,30.9019 -16.0071,30.9422 -16.0345,30.9583 -16.0511,30.9731 -16.062,30.9898 -16.0643,31.012 -16.0549,31.0237 -16.0452,31.0422 -16.0249,31.0569 -16.0176,31.0654 -16.0196,31.0733 -16.0255,31.0809 -16.0259,31.089 -16.0119,31.1141 -15.9969,31.1585 -16.0002,31.26 -16.0235,31.2789 -16.0303,31.2953 -16.0417,31.3096 -16.059,31.3284 -16.0928,31.3409 -16.1067,31.3603 -16.1169,31.3703 -16.1237,31.3746 -16.1329,31.3778 -16.1422,31.384 -16.1488,31.3877 -16.1496,31.3956 -16.1477,31.3996 -16.1473,31.4043 -16.1499,31.4041 -16.1545,31.4027 -16.1594,31.4046 -16.1623,31.4241 -16.1647,31.4457 -16.165,31.4657 -16.1677,31.4806 -16.178,31.5192 -16.1965,31.6861 -16.2072,31.7107 -16.2179,31.7382 -16.2398,31.7988 -16.3037,31.8181 -16.3196,31.8601 -16.3408,31.8719 -16.3504,31.8807 -16.368,31.8856 -16.4063,31.8944 -16.4215,31.9103 -16.4289,32.0141 -16.4449,32.2118 -16.4402,32.2905 -16.4518,32.3937 -16.4918,32.5521 -16.5534,32.6718 -16.5998,32.6831 -16.6099,32.6879 -16.6243,32.6886 -16.6473,32.6987 -16.6868,32.7252 -16.7064,32.7309 -16.7087,32.7313 -16.7088,32.7399 -16.7032,32.7538 -16.6979,32.7693 -16.6955,32.8007 -16.6973,32.862 -16.7105,32.8934 -16.7124,32.9096 -16.7081,32.9396 -16.6898,32.9562 -16.6831,32.9685 -16.6816,32.9616 -16.7103,32.9334 -16.8158,32.9162 -16.8479,32.9005 -16.8678,32.8288 -16.9351,32.8301 -16.9415,32.8868 -17.0382,32.9285 -17.1095,32.9541 -17.1672,32.9678 -17.2289,32.9691 -17.2661,32.9694 -17.2761,32.9732 -17.2979,32.9836 -17.3178,32.9924 -17.3247,33.0147 -17.3367,33.0216 -17.3456,33.0225 -17.3615,33.0163 -17.3772,33.0117 -17.384,32.9974 -17.405,32.9582 -17.4785,32.9517 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-19.592033), (26.313205, -19.584178), (26.30349, -19.577254), (26.292638, -19.572499), (26.239101, -19.571466), (26.194452, -19.560200000000002), (26.155488, -19.537153), (26.13027, -19.501082), (26.034359, -19.243734), (26.011414, -19.199809), (25.981132, -19.161775), (25.956534, -19.122088), (25.948576, -19.103277), (25.944855, -19.079196), (25.948059, -19.058732), (25.964389, -19.021629), (25.9678, -19.000958), (25.967449, -18.999925), (25.940721, -18.921273), (25.815251, -18.813993), (25.779491, -18.738752), (25.773393, -18.665578), (25.761921, -18.630335), (25.736909, -18.608734), (25.698255, -18.590234), (25.669523, -18.566049), (25.622084, -18.501143), (25.608442, -18.487708), (25.574439, -18.465693), (25.508499, -18.399134), (25.49558, -18.378877), (25.490516, -18.365545), (25.481163, -18.323377), (25.473204, -18.303429), (25.440855, -18.2532), (25.408816, -18.175995), (25.387525, -18.138995), (25.357449, -18.115844), (25.323446, -18.09662), (25.296368, -18.068612), (25.255026, -18.001122), (25.226088, -17.931876), (25.21937, -17.908001), (25.21937, -17.879786), (25.259781, -17.794107), (25.266705, -17.800928), (25.285412, -17.809299), (25.315901, -17.83214), (25.335538, -17.841235), (25.345254, -17.842579), (25.376466, -17.841235), (25.409539, -17.853018), (25.420288, -17.854878), (25.49558, -17.854878), (25.500748, -17.856015), (25.510153, -17.861183), (25.516458, -17.862319), (25.522142, -17.860149), (25.530927, -17.850951), (25.536818, -17.848677), (25.603997, -17.836171), (25.657017, -17.81395), (25.681409, -17.81147), (25.694224, -17.819428), (25.70642, -17.829867), (25.743834, -17.839375), (25.765951, -17.849814), (25.786002, -17.862216), (25.794683, -17.872655), (25.804399, -17.888158), (25.849667, -17.906658), (25.86362, -17.923814), (25.847497, -17.929395), (25.846153, -17.943658), (25.853490999999998, -17.959988), (25.86362, -17.971563), (25.924495, -17.998952), (25.966973, -18.000502), (25.978548, -17.998952), (26.033739, -17.971563), (26.04056, -17.978488), (26.046554, -17.966292), (26.062471, -17.962882), (26.081178, -17.962365), (26.095234, -17.958541), (26.096164, -17.954614), (26.0942, -17.941901), (26.095234, -17.938077), (26.101228, -17.935803), (26.118591, -17.931566), (26.135438, -17.922574), (26.158589, -17.918337), (26.167477, -17.913582), (26.203031, -17.887227), (26.211919, -17.882783), (26.221117, -17.886297), (26.228249, -17.894669), (26.233933, -17.903971), (26.239204, -17.910172), (26.248299, -17.913376), (26.294291, -17.918543), (26.3038, -17.922781), (26.311965, -17.928362), (26.318269, -17.934356), (26.325504, -17.93601), (26.362711, -17.930636), (26.408599, -17.939007), (26.485494, -17.979315), (26.527145, -17.992027), (26.553604, -17.996471), (26.570243, -18.002879), (26.583369, -18.013215), (26.598872, -18.029958), (26.612721, -18.041223), (26.628844, -18.049181), (26.685689, -18.066751), (26.700003, -18.069232), (26.71194, -18.065821), (26.740569, -18.0405), (26.753591, -18.032955), (26.769714, -18.029028), (26.794002, -18.026237), (26.88826, -17.984586), (26.912031, -17.992027), (26.94867, -17.968876), (26.95916, -17.964742), (27.006289, -17.962675), (27.021275, -17.958541), (27.048457, -17.944278), (27.078171, -17.916993), (27.11543, -17.882163), (27.149019, -17.842476), (27.146539, -17.818911), (27.145299, -17.794107), (27.146952, -17.783875), (27.157081, -17.769302), (27.422078, -17.504822), (27.524294, -17.415112), (27.577314, -17.363125), (27.604495, -17.312792), (27.624856, -17.233314), (27.641186, -17.198484), (27.777301, -17.001183), (27.816886, -16.959636), (27.868562, -16.929663), (28.022993, -16.865393), (28.113922, -16.827551), (28.21252, -16.748589), (28.280113, -16.706524), (28.643295, -16.568755), (28.690734, -16.56028), (28.718794, -16.56028), (28.73285, -16.55811), (28.741377, -16.550668), (28.761117, -16.532271), (28.769282, -16.515218), (28.808866, -16.486279), (28.822509, -16.470776), (28.829124, -16.434603), (28.833051, -16.426438), (28.857236, -16.388198), (28.857029, -16.36546), (28.840492, -16.323602), (28.836772, -16.306342), (28.840286, -16.284741), (28.86416, -16.231205), (28.847107, -16.202679), (28.852481, -16.162785), (28.8654, -16.121237), (28.870981, -16.087234), (28.868501, -16.08217), (28.86385, -16.076589), (28.859303, -16.069561), (28.857236, -16.060466), (28.860336, -16.049407), (28.874082, -16.028943), (28.877183, -16.022018), (28.898887, -15.995457), (28.932373, -15.963727), (28.946862, -15.957235), (28.951287, -15.955252), (28.972784, -15.951428), (29.018053, -15.950602), (29.042341, -15.946261), (29.055053, -15.934375), (29.076344, -15.895411), (29.086162, -15.884559), (29.102182, -15.870916), (29.121716, -15.859341), (29.141869, -15.854483), (29.150964, -15.848799), (29.186311, -15.812832), (29.406969, -15.714233), (29.422059, -15.711030000000001), (29.508462, -15.703588), (29.526239, -15.692839), (29.563446, -15.662144), (29.587217, -15.655736), (29.608559, -15.658422999999999), (29.62799, -15.663591), (29.648505, -15.666588), (29.672793, -15.663281), (29.73005, -15.644677), (29.773252, -15.638062), (29.814283, -15.619666), (29.837331, -15.614808), (29.881773, -15.618839), (29.967504, -15.641473), (30.010654, -15.646227)]), 6)

0.45539

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.)]]]))

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

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

25

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

15

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.)]]]))

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

geoToS2(lon, lat)

SELECT geoToS2(37.79506683, 55.71290588) AS s2Index

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

s2ToGeo(s2index)

SELECT s2ToGeo(4704772434919038107) AS s2Coodrinates

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

s2GetNeighbors(s2index)

SELECT s2GetNeighbors(5074766849661468672) AS s2Neighbors

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

s2CellsIntersect(s2index1, s2index2)

SELECT s2CellsIntersect(9926595209846587392, 9926594385212866560) AS intersect

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

s2CapContains(center, degrees, point)

SELECT s2CapContains(1157339245694594829, 1.0, 1157347770437378819) AS capContains

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

s2CapUnion(center1, radius1, center2, radius2)

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

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

s2RectAdd(s2pointLow, s2pointHigh, s2Point)

SELECT s2RectAdd(5178914411069187297, 5177056748191934217, 5179056748191934217) AS rectAdd

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

s2RectContains(s2PointLow, s2PointHi, s2Point)

SELECT s2RectContains(5179062030687166815, 5177056748191934217, 5177914411069187297) AS rectContains

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

s2RectUnion(s2Rect1PointLow, s2Rect1PointHi, s2Rect2PointLow, s2Rect2PointHi)

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

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

s2RectIntersection(s2Rect1PointLow, s2Rect1PointHi, s2Rect2PointLow, s2Rect2PointHi)

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

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

Svg(geometry,[style])

SELECT SVG((0., 0.))

<circle cx="0" cy="0" r="5" style=""/>

SELECT SVG([(0., 0.), (10, 0), (10, 10), (0, 10)])

<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)]])

<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>