Functions for Working with Polygons - ClickHouse Documentation

WKT

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

POINT
MULTIPOINT
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 MULTIPOINT is returned for a MultiPoint.
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

type	output
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

type	output
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)]]

readWKTMultiPoint

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

Syntax

readWKTMultiPoint(wkt_string)

Arguments

wkt_string: The input WKT string representing a MultiPoint geometry.

Returned value

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

Example

SELECT readWKTMultiPoint('MULTIPOINT (1 1, 2 2, 3 3)');

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

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)]]]);

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

type	output
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

type	output
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

readWKBMultiPoint

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

Syntax

readWKBMultiPoint(wkb_string)

Arguments

wkb_string: The input WKB string representing a MultiPoint geometry.

Returned value

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

Example

SELECT readWKBMultiPoint(unhex('0104000000020000000101000000000000000000f03f000000000000f03f010100000000000000000000400000000000000040'));

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

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.)]]])

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.)]]])

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.)]]])

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)]]]);

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, MultiPoint, 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)

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, MultiPoint, 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)

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

polygonMinimumRotatedRectangleCartesian

Returns the rectangle of the smallest area that contains a geometry, which can be rotated (the oriented envelope), like ST_OrientedEnvelope in PostGIS and ST_MinimumRotatedRectangle in DuckDB. It is found with rotating calipers over the convex hull, so the function takes the same arguments as polygonConvexHullCartesian. For collinear points the rectangle has zero width, for a single point all its corners are that point, and without points the ring is empty. Coordinates are in Cartesian coordinate system.

Example

SELECT polygonMinimumRotatedRectangleCartesian([(0., 0.), (4., 3.), (2., 3.), (-1.5, 2.), (1., 1.5)]::MultiPoint)

[[(-1.5,2),(2.5,5),(4,3),(0,0),(-1.5,2)]]

Input parameters

A geometry other than a point: MultiPolygon, Polygon, Ring, MultiLineString, LineString, MultiPoint or Geometry.

Returned value

Polygon with one ring: the four corners clockwise, and the first corner again.

exteriorRing

Returns the exterior ring of a polygon, which is the first ring of a Polygon, like ST_ExteriorRing. For a Geometry argument the result is Geometry, which is NULL if the row is not a Polygon or has no rings, as in PostGIS. For a Polygon without rings, the result is an empty Ring.

Syntax

exteriorRing(polygon)

Alias: ST_ExteriorRing.

Arguments

polygon — Polygon or Geometry.

Returned value

Ring, or Geometry for a Geometry argument.

Example

SELECT exteriorRing([[(0., 0.), (0., 10.), (10., 10.), (10., 0.), (0., 0.)], [(2., 2.), (4., 2.), (4., 4.), (2., 2.)]]::Polygon)

[(0,0),(0,10),(10,10),(10,0),(0,0)]

interiorRingN

Returns the n-th interior ring (hole) of a polygon, like ST_InteriorRingN. n counts from 1, and a negative n counts from the last hole. For a Geometry argument the result is Geometry, which is NULL if the row is not a Polygon or has no such hole, as in PostGIS. For a Polygon without such a hole, the result is an empty Ring, as arrayElement returns the default value.

Syntax

interiorRingN(polygon, n)

Alias: ST_InteriorRingN.

Arguments

polygon — Polygon or Geometry.
n — The number of the hole. (U)Int*.

Returned value

Ring, or Geometry for a Geometry argument.

Example

SELECT interiorRingN([[(0., 0.), (0., 10.), (10., 10.), (10., 0.), (0., 0.)], [(2., 2.), (4., 2.), (4., 4.), (2., 2.)]]::Polygon, 1)

[(2,2),(4,2),(4,4),(2,2)]

pointN

Returns the n-th point of a line or a ring, like ST_PointN. n counts from 1, and a negative n counts from the last point. For a Geometry argument the result is Geometry, which is NULL if the row is not a LineString or a Ring or has no such point, as in PostGIS. For a LineString or a Ring without such a point, the result is (0, 0), as arrayElement returns the default value.

Syntax

pointN(line, n)

Alias: ST_PointN.

Arguments

line — LineString, Ring or Geometry.
n — The number of the point. (U)Int*.

Returned value

Point, or Geometry for a Geometry argument.

Example

WITH [(1., 2.), (3., 4.), (5., 6.)]::LineString AS line
SELECT (pointN(line, 1), pointN(line, -1))

((1,2),(5,6))

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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-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, 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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.)]]])

Input parameters

Polygon

Returned value

Float64

polygonPerimeterCartesian

Calculates the perimeter of a polygon.

Example

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

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.

​WKT

​readWKTMultiPolygon

​Example

​Input parameters

​Returned value

​readWKTPolygon

​Example

​Input parameters

​Returned value

​readWKTPoint

​Syntax

​Arguments

​Returned value

​Example

​readWKTLineString

​Syntax

​Arguments

​Returned value

​Example

​readWKTMultiLineString

​Syntax

​Arguments

​Returned value

​Example

​readWKTMultiPoint

​Syntax

​Arguments

​Returned value

​Example

​readWKTRing

​Syntax

​Arguments

​Returned value

​Example

​polygonsWithinSpherical

​Example

​readWKBMultiPolygon

​Example

​Input parameters

​Returned value

​readWKBPolygon

​Example

​Input parameters

​Returned value

​readWKBPoint

​Syntax

​Arguments

​Returned value

​Example

​readWKBLineString

​Syntax

​Arguments

​Returned value

​Example

​readWKBMultiLineString

​Syntax

​Arguments

​Returned value

​Example

​Input parameters

​Returned value

​readWKBMultiPoint

​Syntax

​Arguments

​Returned value

​Example

​polygonsDistanceSpherical

​Example

​Input parameters

​Returned value

​polygonsDistanceCartesian

​Example

​Input parameters

​Returned value

​polygonsEqualsCartesian

​Example

​Input parameters

​Returned value

​polygonsSymDifferenceSpherical

​Example

WKT

readWKTMultiPolygon

Example

Input parameters

Returned value

readWKTPolygon

Example

Input parameters

Returned value

readWKTPoint

Syntax

Arguments

Returned value

Example

readWKTLineString

Syntax

Arguments

Returned value

Example

readWKTMultiLineString

Syntax

Arguments

Returned value

Example

readWKTMultiPoint

Syntax

Arguments

Returned value

Example

readWKTRing

Syntax

Arguments

Returned value

Example

polygonsWithinSpherical

Example

readWKBMultiPolygon

Example

Input parameters

Returned value

readWKBPolygon

Example

Input parameters

Returned value

readWKBPoint

Syntax

Arguments

Returned value

Example

readWKBLineString

Syntax

Arguments

Returned value

Example

readWKBMultiLineString

Syntax

Arguments

Returned value

Example

Input parameters

Returned value

readWKBMultiPoint

Syntax

Arguments

Returned value

Example

polygonsDistanceSpherical

Example

Input parameters

Returned value

polygonsDistanceCartesian

Example

Input parameters

Returned value

polygonsEqualsCartesian

Example

Input parameters

Returned value

polygonsSymDifferenceSpherical

Example