Funções para trabalhar com Polygons

WKT

Retorna um objeto geométrico em WKT (Well Known Text) a partir de vários tipos de dados Geo. Os objetos WKT compatíveis são:

POINT
MULTIPOINT
POLYGON
MULTIPOLYGON
LINESTRING
MULTILINESTRING

Sintaxe

WKT(geo_data)

Parâmetros

geo_data pode ser um dos seguintes Tipos de dados Geo ou um de seus tipos primitivos subjacentes:

Valor retornado

O objeto geométrico WKT POINT é retornado para Point.
O objeto geométrico WKT MULTIPOINT é retornado para MultiPoint.
O objeto geométrico WKT POLYGON é retornado para Polygon
O objeto geométrico WKT MULTIPOLYGON é retornado para MultiPolygon.
O objeto geométrico WKT LINESTRING é retornado para LineString.
O objeto geométrico WKT MULTILINESTRING é retornado para MultiLineString.

Exemplos

POINT a partir de Tuple:

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

POINT(0 0)

POLYGON a partir de um array de tuplas ou de um array de arrays de tuplas:

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

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

MULTIPOLYGON a partir de um array com arrays de tuplas multidimensionais:

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

Converte um MultiPolygon em WKT (Well Known Text) em um tipo MultiPolygon.

Exemplo

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

tipo	saída
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)]]]

Parâmetros de entrada

String que começa com MULTIPOLYGON

Valor retornado

MultiPolygon

readWKTPolygon

Converte um MultiPolygon em WKT (Well Known Text) para o tipo Polygon.

Exemplo

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

tipo	saída
Polygon	[[(2,0),(10,0),(10,10),(0,10),(2,0)]]

Parâmetros de entrada

String que começa com POLYGON

Valor de retorno

Polygon

readWKTPoint

A função readWKTPoint do ClickHouse analisa uma representação em Well-Known Text (WKT) de uma geometria do tipo Point e retorna um ponto no formato interno do ClickHouse.

Sintaxe

readWKTPoint(wkt_string)

Argumentos

wkt_string: A String WKT de entrada que representa uma geometria Point.

Valor retornado

A função retorna uma representação interna do ClickHouse para a geometria Point.

Exemplo

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

(1.2,3.4)

readWKTLineString

Analisa uma representação em Well-Known Text (WKT) de uma geometria LineString e a retorna no formato interno do ClickHouse.

Sintaxe

readWKTLineString(wkt_string)

Argumentos

wkt_string: a string WKT de entrada que representa uma geometria LineString.

Valor retornado

A função retorna a representação interna do ClickHouse para a geometria LineString.

Exemplo

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

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

readWKTMultiLineString

Analisa uma representação em Well-Known Text (WKT) de uma geometria MultiLineString e a retorna no formato interno do ClickHouse.

Sintaxe

readWKTMultiLineString(wkt_string)

Argumentos

wkt_string: a string WKT de entrada que representa uma geometria MultiLineString.

Valor retornado

A função retorna uma representação interna do ClickHouse para a geometria MultiLineString.

Exemplo

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

Analisa uma representação em Well-Known Text (WKT) de uma geometria MultiPoint e a retorna no formato interno do ClickHouse.

Sintaxe

readWKTMultiPoint(wkt_string)

Argumentos

wkt_string: A string WKT de entrada que representa uma geometria MultiPoint.

Valor retornado

A função retorna uma representação interna da geometria MultiPoint do ClickHouse.

Exemplo

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

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

readWKTRing

Analisa uma representação em Well-Known Text (WKT) da geometria Polygon e retorna um anel (linestring fechada) no formato interno do ClickHouse.

Sintaxe

readWKTRing(wkt_string)

Argumentos

wkt_string: A string WKT de entrada que representa uma geometria do tipo Polygon.

Valor retornado

A função retorna uma representação interna do ClickHouse para a geometria do anel (linestring fechada).

Exemplo

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

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

polygonsWithinSpherical

Retorna true ou false, dependendo de um polígono estar ou não completamente dentro de outro polígono. Referência: https://www.boost.org/doc/libs/1_62_0/libs/geometry/doc/html/geometry/reference/algorithms/within/within_2.html

Exemplo

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

Converte um MultiPolygon em WKB (Well Known Binary) em um valor do tipo MultiPolygon.

Exemplo

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

tipo	saída
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)]]]

Parâmetros de entrada

String que começa com MULTIPOLYGON

Valor retornado

MultiPolygon

readWKBPolygon

Converte um MultiPolygon em WKB (Well Known Binary) no tipo Polygon.

Exemplo

SELECT
    toTypeName(readWKBPolygon(unhex('010300000001000000050000000000000000000040000000000000000000000000000024400000000000000000000000000000244000000000000024400000000000000000000000000000244000000000000000400000000000000000'))) AS type,
    readWKBPolygon(unhex('010300000001000000050000000000000000000040000000000000000000000000000024400000000000000000000000000000244000000000000024400000000000000000000000000000244000000000000000400000000000000000')) AS output
FORMAT Markdown

tipo	saída
Polygon	[[(2,0),(10,0),(10,10),(0,10),(2,0)]]

Parâmetros de entrada

String que começa com POLYGON

Valor retornado

Polygon

readWKBPoint

A função readWKBPoint no ClickHouse interpreta uma representação em Well-Known Binary (WKB) de uma geometria Point e retorna um ponto no formato interno do ClickHouse.

Sintaxe

readWKBPoint(wkb_string)

Argumentos

wkb_string: A string WKB de entrada que representa uma geometria do tipo Point.

Valor retornado

A função retorna uma representação interna do ClickHouse para a geometria Point.

Exemplo

SELECT readWKBPoint(unhex('0101000000333333333333f33f3333333333330b40'));

(1.2,3.4)

readWKBLineString

Analisa uma representação em Well-Known Binary (WKB) de uma geometria LineString e a retorna no formato interno do ClickHouse.

Sintaxe

readWKBLineString(wkb_string)

Argumentos

wkb_string: A string WKB de entrada que representa uma geometria do tipo LineString.

Valor retornado

A função retorna uma representação interna do ClickHouse para a geometria LineString.

Exemplo

SELECT readWKBLineString(unhex('010200000004000000000000000000f03f000000000000f03f0000000000000040000000000000004000000000000008400000000000000840000000000000f03f000000000000f03f'));

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

readWKBMultiLineString

Analisa a representação Well-Known Binary (WKB) de uma geometria MultiLineString e a retorna no formato interno do ClickHouse.

Sintaxe

readWKBMultiLineString(wkb_string)

Argumentos

wkb_string: A string WKB de entrada que representa uma geometria do tipo MultiLineString.

Valor retornado

A função retorna uma representação interna do ClickHouse da geometria MultiLineString.

Exemplo

SELECT readWKBMultiLineString(unhex('010500000002000000010200000003000000000000000000f03f000000000000f03f0000000000000040000000000000004000000000000008400000000000000840010200000003000000000000000000104000000000000010400000000000001440000000000000144000000000000018400000000000001840'));

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

Parâmetros de entrada

Valor retornado

UInt8, 0 para false, 1 para true

readWKBMultiPoint

Analisa uma representação Well-Known Binary (WKB) de uma geometria MultiPoint e a retorna no formato interno do ClickHouse.

Sintaxe

readWKBMultiPoint(wkb_string)

Argumentos

wkb_string: A string WKB de entrada que representa uma geometria MultiPoint.

Valor retornado

A função retorna uma representação interna do ClickHouse para a geometria MultiPoint.

Exemplo

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

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

polygonsDistanceSpherical

Calcula a distância mínima entre dois pontos, em que um ponto pertence ao primeiro polígono e o segundo, a outro polígono. Esférico significa que as coordenadas são interpretadas como coordenadas em uma esfera pura e ideal, o que não corresponde à Terra. O uso desse tipo de sistema de coordenadas acelera a execução, mas, naturalmente, não é preciso.

Exemplo

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

Parâmetros de entrada

Dois polígonos

Valor retornado

Float64

polygonsDistanceCartesian

Calcula a distância entre dois polígonos

Exemplo

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

Parâmetros de entrada

Dois polígonos

Valor de retorno

Float64

polygonsEqualsCartesian

Retorna true se dois polígonos forem iguais

Exemplo

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

Parâmetros de entrada

Dois polígonos

Valor retornado

UInt8, 0 para false, 1 para true

polygonsSymDifferenceSpherical

Calcula a diferença simétrica espacial da teoria dos conjuntos (XOR) entre dois polígonos

Exemplo

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)))

Parâmetros de entrada

Polígonos

Valor retornado

MultiPolygon

polygonsSymDifferenceCartesian

O mesmo que polygonsSymDifferenceSpherical, mas as coordenadas estão em um sistema de coordenadas cartesianas, que é mais próximo do modelo da Terra real.

Exemplo

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)))

Parâmetros de entrada

Polígonos

Valor retornado

MultiPolygon

polygonsIntersectionSpherical

Calcula a interseção (AND) entre polígonos; as coordenadas são esféricas.

Exemplo

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)))

Parâmetros de entrada

Polígonos

Valor de retorno

MultiPolygon

polygonsWithinCartesian

Retorna true se o segundo polígono estiver contido no primeiro polígono.

Exemplo

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

Parâmetros de entrada

Dois polígonos

Valor retornado

UInt8, 0 para falso, 1 para true

polygonsIntersectCartesian

Retorna true se os dois polígonos se intersectam (compartilham alguma área ou borda em comum).

Exemplo

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

Parâmetros de entrada

Dois polígonos

Valor retornado

UInt8, 0 para false, 1 para true

polygonsIntersectSpherical

Retorna true se os dois polígonos se intersectam (compartilham alguma área ou fronteira em comum). Referência https://www.boost.org/doc/libs/1_62_0/libs/geometry/doc/html/geometry/reference/algorithms/intersects.html

Exemplo

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)]]]);

Parâmetros de entrada

Dois polígonos

Valor retornado

UInt8, 0 para false, 1 para true

geometryIntersectCartesian

Retorna true se duas geometrias se intersectam (têm algum ponto, linha ou área em comum).

Ao contrário de polygonsIntersectCartesian, aceita qualquer tipo de dado geométrico (Point, MultiPoint, LineString, MultiLineString, Ring, Polygon, MultiPolygon), incluindo o tipo comum Geometry, e os dois argumentos podem ser de tipos diferentes.

As coordenadas estão no sistema de coordenadas cartesianas.

Exemplo

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

Parâmetros de entrada

Duas geometrias de qualquer tipo de dado geométrico (ou Geometry).

Valor retornado

UInt8, 0 para false, 1 para true

geometryIntersectSpherical

Retorna true se duas geometrias se intersectam (têm algum ponto, linha ou área em comum).

Diferentemente de polygonsIntersectSpherical, ela aceita qualquer tipo de dado geométrico (Point, MultiPoint, LineString, MultiLineString, Ring, Polygon, MultiPolygon), incluindo o tipo comum Geometry, e os dois argumentos podem ser de tipos diferentes.

As coordenadas são interpretadas como pertencentes a uma esfera ideal.

Exemplo

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)

Parâmetros de entrada

Duas geometrias de qualquer tipo de dado geométrico (ou Geometry).

Valor retornado

UInt8, 0 para false, 1 para true

polygonConvexHullCartesian

Calcula um fecho convexo. Referência

As coordenadas estão em um sistema de coordenadas cartesianas.

Exemplo

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

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

Parâmetros de entrada

MultiPolygon

Valor retornado

Polygon

polygonAreaSpherical

Calcula a área de um polígono na superfície da esfera.

Exemplo

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

Parâmetros de entrada

Polygon

Valor retornado

Float

polygonsUnionSpherical

Calcula a união (OR).

Exemplo

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)))

Parâmetros de entrada

Polígonos

Valor retornado

MultiPolygon

polygonPerimeterSpherical

Calcula o perímetro do polígono.

Exemplo

Polígono que representa o Zimbábue

Este é o polígono que representa o Zimbábue:

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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Uso da função polygonPerimeterSpherical

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

Parâmetros de entrada

Valor retornado

polygonsIntersectionCartesian

Calcula a interseção entre polígonos.

Exemplo

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)))

Parâmetros de entrada

Polígonos

Valor retornado

MultiPolygon

polygonAreaCartesian

Calcula a área de um polígono

Exemplo

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

Parâmetros de entrada

Polygon

Valor retornado

Float64

polygonPerimeterCartesian

Calcula o perímetro de um polígono.

Exemplo

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

Parâmetros de entrada

Polygon

Valor retornado

Float64

polygonsUnionCartesian

Calcula a união de polígonos.

Exemplo

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)))

Parâmetros de entrada

Polígonos

Valor retornado

MultiPolygon

Para mais informações sobre sistemas geométricos, veja esta apresentação sobre a biblioteca Boost, que é a usada pelo ClickHouse.