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Functions for Working with Polygons

WKT​

Returns a WKT (Well Known Text) geometric object from various Geo Data Types. Supported WKT objects are:

  • POINT
  • POLYGON
  • MULTIPOLYGON
  • LINESTRING
  • MULTILINESTRING

Syntax

WKT(geo_data)

Parameters

geo_data can be one of the following Geo Data Types or their underlying primitive types:

Returned value

  • 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.

Examples

POINT from tuple:

SELECT wkt((0., 0.));
POINT(0 0)

POLYGON from an array of tuples or an array of tuple arrays:

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

MULTIPOLYGON from an array of multi-dimensional tuple arrays:

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)))

readWKTMultiPolygon​

Converts a WKT (Well Known Text) MultiPolygon into a MultiPolygon type.

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

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)]]]

Input parameters​

String starting with MULTIPOLYGON

Returned value​

MultiPolygon

readWKTPolygon​

Converts a WKT (Well Known Text) MultiPolygon into a Polygon type.

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

Input parameters​

String starting with POLYGON

Returned value​

Polygon

readWKTPoint​

The readWKTPoint function in ClickHouse parses a Well-Known Text (WKT) representation of a Point geometry and returns a point in the internal ClickHouse format.

Syntax​

readWKTPoint(wkt_string)

Arguments​

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

Returned value​

The function returns a ClickHouse internal representation of the Point geometry.

Example​

SELECT readWKTPoint('POINT (1.2 3.4)');
(1.2,3.4)

readWKTLineString​

Parses a Well-Known Text (WKT) representation of a LineString geometry and returns it in the internal ClickHouse format.

Syntax​

readWKTLineString(wkt_string)

Arguments​

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

Returned value​

The function returns a ClickHouse internal representation of the linestring geometry.

Example​

SELECT readWKTLineString('LINESTRING (1 1, 2 2, 3 3, 1 1)');
[(1,1),(2,2),(3,3),(1,1)]

readWKTMultiLineString​

Parses a Well-Known Text (WKT) representation of a MultiLineString geometry and returns it in the internal ClickHouse format.

Syntax​

readWKTMultiLineString(wkt_string)

Arguments​

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

Returned value​

The function returns a ClickHouse internal representation of the multilinestring geometry.

Example​

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​

Parses a Well-Known Text (WKT) representation of a Polygon geometry and returns a ring (closed linestring) in the internal ClickHouse format.

Syntax​

readWKTRing(wkt_string)

Arguments​

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

Returned value​

The function returns a ClickHouse internal representation of the ring (closed linestring) geometry.

Example​

SELECT readWKTRing('POLYGON ((1 1, 2 2, 3 3, 1 1))');
[(1,1),(2,2),(3,3),(1,1)]

polygonsWithinSpherical​

Returns true or false depending on whether or not one polygon lies completely inside another polygon. Reference https://www.boost.org/doc/libs/1_62_0/libs/geometry/doc/html/geometry/reference/algorithms/within/within_2.html

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)]]]);
0

readWKBMultiPolygon​

Converts a WKB (Well Known Binary) MultiPolygon into a MultiPolygon type.

Example​

SELECT
    toTypeName(readWKBMultiPolygon(unhex('0106000000020000000103000000020000000500000000000000000000400000000000000000000000000000244000000000000000000000000000002440000000000000244000000000000000000000000000002440000000000000004000000000000000000500000000000000000010400000000000001040000000000000144000000000000010400000000000001440000000000000144000000000000010400000000000001440000000000000104000000000000010400103000000010000000400000000000000000024c000000000000024c000000000000024c000000000000022c000000000000022c0000000000000244000000000000024c000000000000024c0'))) AS type,
    readWKBMultiPolygon(unhex('0106000000020000000103000000020000000500000000000000000000400000000000000000000000000000244000000000000000000000000000002440000000000000244000000000000000000000000000002440000000000000004000000000000000000500000000000000000010400000000000001040000000000000144000000000000010400000000000001440000000000000144000000000000010400000000000001440000000000000104000000000000010400103000000010000000400000000000000000024c000000000000024c000000000000024c000000000000022c000000000000022c0000000000000244000000000000024c000000000000024c0')) AS output FORMAT Markdown

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)]]]

Input parameters​

String starting with MULTIPOLYGON

Returned value​

MultiPolygon

readWKBPolygon​

Converts a WKB (Well Known Binary) MultiPolygon into a Polygon type.

Example​

SELECT
    toTypeName(readWKBPolygon(unhex('010300000001000000050000000000000000000040000000000000000000000000000024400000000000000000000000000000244000000000000024400000000000000000000000000000244000000000000000400000000000000000'))) AS type,
    readWKBPolygon(unhex('010300000001000000050000000000000000000040000000000000000000000000000024400000000000000000000000000000244000000000000024400000000000000000000000000000244000000000000000400000000000000000')) AS output
FORMAT Markdown
typeoutput
Polygon[[(2,0),(10,0),(10,10),(0,10),(2,0)]]

Input parameters​

String starting with POLYGON

Returned value​

Polygon

readWKBPoint​

The readWKBPoint function in ClickHouse parses a Well-Known Binary (WKB) representation of a Point geometry and returns a point in the internal ClickHouse format.

Syntax​

readWKBPoint(wkb_string)

Arguments​

  • wkb_string: The input WKB string representing a Point geometry.

Returned value​

The function returns a ClickHouse internal representation of the Point geometry.

Example​

SELECT readWKBPoint(unhex('0101000000333333333333f33f3333333333330b40'));
(1.2,3.4)

readWKBLineString​

Parses a Well-Known Binary (WKB) representation of a LineString geometry and returns it in the internal ClickHouse format.

Syntax​

readWKBLineString(wkb_string)

Arguments​

  • wkb_string: The input WKB string representing a LineString geometry.

Returned value​

The function returns a ClickHouse internal representation of the linestring geometry.

Example​

SELECT readWKBLineString(unhex('010200000004000000000000000000f03f000000000000f03f0000000000000040000000000000004000000000000008400000000000000840000000000000f03f000000000000f03f'));
[(1,1),(2,2),(3,3),(1,1)]

readWKBMultiLineString​

Parses a Well-Known Binary (WKB) representation of a MultiLineString geometry and returns it in the internal ClickHouse format.

Syntax​

readWKBMultiLineString(wkb_string)

Arguments​

  • wkb_string: The input WKB string representing a MultiLineString geometry.

Returned value​

The function returns a ClickHouse internal representation of the multilinestring geometry.

Example​

SELECT readWKBMultiLineString(unhex('010500000002000000010200000003000000000000000000f03f000000000000f03f0000000000000040000000000000004000000000000008400000000000000840010200000003000000000000000000104000000000000010400000000000001440000000000000144000000000000018400000000000001840'));
[[(1,1),(2,2),(3,3)],[(4,4),(5,5),(6,6)]]

Input parameters​

Returned value​

UInt8, 0 for false, 1 for true

polygonsDistanceSpherical​

Calculates the minimal distance between two points where one point belongs to the first polygon and the second to another polygon. Spherical means that coordinates are interpreted as coordinates on a pure and ideal sphere, which is not true for the Earth. Using this type of coordinate system speeds up execution, but of course is not precise.

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.)]]])
0.24372872211133834

Input parameters​

Two polygons

Returned value​

Float64

polygonsDistanceCartesian​

Calculates distance between two polygons

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.)]]])
14.000714267493642

Input parameters​

Two polygons

Returned value​

Float64

polygonsEqualsCartesian​

Returns true if two polygons are equal

Example​

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

Input parameters​

Two polygons

Returned value​

UInt8, 0 for false, 1 for true

polygonsSymDifferenceSpherical​

Calculates the spatial set theoretic symmetric difference (XOR) between two polygons

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.)]])));
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)))

Input parameters​

Polygons

Returned value​

MultiPolygon

polygonsSymDifferenceCartesian​

The same as polygonsSymDifferenceSpherical, but the coordinates are in the Cartesian coordinate system; which is more close to the model of the real Earth.

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.)]]]))
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)))

Input parameters​

Polygons

Returned value​

MultiPolygon

polygonsIntersectionSpherical​

Calculates the intersection (AND) between polygons, coordinates are spherical.

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)]]])))
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)))

Input parameters​

Polygons

Returned value​

MultiPolygon

polygonsWithinCartesian​

Returns true if the second polygon is within the first polygon.

Example​

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

Input parameters​

Two polygons

Returned value​

UInt8, 0 for false, 1 for true

polygonsIntersectCartesian​

Returns true if the two polygons intersect (share any common area or boundary).

Example​

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

Input parameters​

Two polygons

Returned value​

UInt8, 0 for false, 1 for true

polygonsIntersectSpherical​

Returns true if the two polygons intersect (share any common area or boundary). Reference https://www.boost.org/doc/libs/1_62_0/libs/geometry/doc/html/geometry/reference/algorithms/intersects.html

Example​

SELECT polygonsIntersectSpherical([[[(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)]]]);
1

Input parameters​

Two polygons

Returned value​

UInt8, 0 for false, 1 for true

geometryIntersectCartesian​

Returns true if two geometries intersect (share any common point, line or area).

Unlike polygonsIntersectCartesian, it accepts any geometry data type (Point, LineString, MultiLineString, Ring, Polygon, MultiPolygon), including the common Geometry type, and the two arguments may be of different types.

Coordinates are in the Cartesian coordinate system.

Example​

SELECT geometryIntersectCartesian([(2., 2.), (2., 3.), (3., 3.), (3., 2.)]::Ring, [(1., 1.), (1., 4.), (4., 4.), (4., 1.)]::Ring)
1

Input parameters​

Two geometries of any geometry data type (or Geometry).

Returned value​

UInt8, 0 for false, 1 for true

geometryIntersectSpherical​

Returns true if two geometries intersect (share any common point, line or area).

Unlike polygonsIntersectSpherical, it accepts any geometry data type (Point, LineString, MultiLineString, Ring, Polygon, MultiPolygon), including the common Geometry type, and the two arguments may be of different types.

Coordinates are interpreted as being on an ideal sphere.

Example​

SELECT geometryIntersectSpherical([[[(4.3613577, 50.8651821), (4.349556, 50.8535879), (4.3602419, 50.8435626), (4.3830299, 50.8428851), (4.3904543, 50.8564867), (4.3613148, 50.8651279)]]]::MultiPolygon, (4.36, 50.85)::Point)
1

Input parameters​

Two geometries of any geometry data type (or Geometry).

Returned value​

UInt8, 0 for false, 1 for true

polygonConvexHullCartesian​

Calculates a convex hull. Reference

Coordinates are in Cartesian coordinate system.

Example​

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

Input parameters​

MultiPolygon

Returned value​

Polygon

polygonAreaSpherical​

Calculates the surface area of a polygon.

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)
9.387704e-8

Input parameters​

Polygon

Returned value​

Float

polygonsUnionSpherical​

Calculates a union (OR).

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)]]]))
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)))

Input parameters​

Polygons

Returned value​

MultiPolygon

polygonPerimeterSpherical​

Calculates the perimeter of the polygon.

Example​

Polygon representing Zimbabwe​

This is the polygon representing Zimbabwe:

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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Usage of polygonPerimeterSpherical function​

SELECT round(polygonPerimeterSpherical([(30.010654, -15.646227), (30.050238, -15.640129), (30.090029, -15.629381), (30.130129, -15.623696), (30.16992, -15.632171), (30.195552, -15.649121), (30.207231, -15.653152), (30.223147, -15.649741), (30.231002, -15.644677), (30.246091, -15.632068), (30.254876, -15.628864), (30.280094, -15.632275), (30.296196, -15.639042), (30.32805, -15.652428), (30.356679, -15.651498), (30.396263, -15.635995), (30.39771, -15.716817), (30.39926, -15.812005), (30.401327, -15.931688), (30.402568, -16.001244), (30.514809, -16.000418), (30.586587, -16.000004), (30.74973, -15.998867), (30.857424, -15.998144), (30.901865, -16.007136), (30.942173, -16.034524), (30.958296, -16.05106), (30.973075, -16.062016), (30.989767, -16.06429), (31.012039, -16.054885), (31.023718, -16.045169), (31.042218, -16.024912), (31.056895, -16.017574), (31.065421, -16.019641), (31.073328, -16.025532), (31.080872, -16.025946), (31.089037, -16.01189), (31.1141, -15.996904), (31.15849, 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(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

Input parameters​

Returned value​

polygonsIntersectionCartesian​

Calculates the intersection of polygons.

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

Input parameters​

Polygons

Returned value​

MultiPolygon

polygonAreaCartesian​

Calculates the area of a polygon

Example​

SELECT polygonAreaCartesian([[[(0., 0.), (0., 5.), (5., 5.), (5., 0.)]]])
25

Input parameters​

Polygon

Returned value​

Float64

polygonPerimeterCartesian​

Calculates the perimeter of a polygon.

Example​

SELECT polygonPerimeterCartesian([[[(0., 0.), (0., 5.), (5., 5.), (5., 0.)]]])
15

Input parameters​

Polygon

Returned value​

Float64

polygonsUnionCartesian​

Calculates the union of polygons.

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

Input parameters​

Polygons

Returned value​

MultiPolygon

For more information on geometry systems, see this presentation about the Boost library, which is what ClickHouse uses.