Funções para trabalhar com Polygons

Documentação do Polygon

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WKT

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

• POINT
• 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:

• Point
• Ring
• Polygon
• MultiPolygon
• LineString
• MultiLineString

Valor retornado

• O objeto geométrico WKT POINT é retornado para Point.
• 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)))

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readWKTMultiPolygon

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

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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)]]]

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Parâmetros de entrada

String que começa com MULTIPOLYGON

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Valor retornado

MultiPolygon

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readWKTPolygon

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

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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)]]

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Parâmetros de entrada

String que começa com POLYGON

​

Valor de retorno

Polygon

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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.

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Sintaxe

readWKTPoint(wkt_string)

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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.

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Exemplo

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

(1.2,3.4)

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readWKTLineString

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

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Sintaxe

readWKTLineString(wkt_string)

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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)]

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readWKTMultiLineString

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

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Sintaxe

readWKTMultiLineString(wkt_string)

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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)]]

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readWKTRing

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

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Sintaxe

readWKTRing(wkt_string)

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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).

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Exemplo

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

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

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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

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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)]]]);

0

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readWKBMultiPolygon

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

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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)]]]

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Parâmetros de entrada

String que começa com MULTIPOLYGON

​

Valor retornado

MultiPolygon

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readWKBPolygon

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

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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)]]

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Parâmetros de entrada

String que começa com POLYGON

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Valor retornado

Polygon

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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.

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Sintaxe

readWKBPoint(wkb_string)

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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)

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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)

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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)]

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readWKBMultiLineString

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

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Sintaxe

readWKBMultiLineString(wkb_string)

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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)]]

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Parâmetros de entrada

​

Valor retornado

UInt8, 0 para false, 1 para true

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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.

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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

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Parâmetros de entrada

Dois polígonos

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Valor retornado

Float64

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polygonsDistanceCartesian

Calcula a distância entre dois polígonos

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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

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Parâmetros de entrada

Dois polígonos

​

Valor de retorno

Float64

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polygonsEqualsCartesian

Retorna true se dois polígonos forem iguais

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Exemplo

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

1

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Parâmetros de entrada

Dois polígonos

​

Valor retornado

UInt8, 0 para false, 1 para true

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polygonsSymDifferenceSpherical

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

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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)))

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Parâmetros de entrada

Polígonos

​

Valor retornado

MultiPolygon

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polygonsSymDifferenceCartesian

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

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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)))

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Parâmetros de entrada

Polígonos

​

Valor retornado

MultiPolygon

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polygonsIntersectionSpherical

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

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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)))

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Parâmetros de entrada

Polígonos

​

Valor de retorno

MultiPolygon

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polygonsWithinCartesian

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

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Exemplo

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

1

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Parâmetros de entrada

Dois polígonos

​

Valor retornado

UInt8, 0 para falso, 1 para true

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polygonsIntersectCartesian

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

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Exemplo

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

1

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Parâmetros de entrada

Dois polígonos

​

Valor retornado

UInt8, 0 para false, 1 para true

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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

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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)]]]);

1

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Parâmetros de entrada

Dois polígonos

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Valor retornado

UInt8, 0 para false, 1 para true

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polygonConvexHullCartesian

Calcula um fecho convexo. Referência

As coordenadas estão em um sistema de coordenadas cartesianas.

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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))

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Parâmetros de entrada

MultiPolygon

​

Valor retornado

Polygon

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polygonAreaSpherical

Calcula a área de um polígono na superfície da esfera.

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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

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Parâmetros de entrada

Polygon

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Valor retornado

Float

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polygonsUnionSpherical

Calcula a união (OR).

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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)))

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Parâmetros de entrada

Polígonos

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Valor retornado

MultiPolygon

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polygonPerimeterSpherical

Calcula o perímetro do polígono.

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Exemplo

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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 -17.4862,32.943 -17.4916,32.9366 -17.4983,32.9367 -17.5094,32.9472 -17.5432,32.9517 -17.5514,32.9691 -17.5646,33.0066 -17.581,33.0204 -17.5986,33.0245 -17.6192,33.0206 -17.6385,33.0041 -17.6756,33.0002 -17.7139,33.0032 -17.7577,32.9991 -17.7943,32.9736 -17.8106,32.957 -17.818,32.9461 -17.8347,32.9397 -17.8555,32.9369 -17.875,32.9384 -17.8946,32.9503 -17.9226,32.9521 -17.9402,32.9481 -17.9533,32.9404 -17.96,32.9324 -17.9649,32.9274 -17.9729,32.929 -17.9823,32.9412 -17.9963,32.9403 -18.0048,32.9349 -18.0246,32.9371 -18.0471,32.9723 -18.1503,32.9755 -18.1833,32.9749 -18.1908,32.9659 -18.2122,32.9582 -18.2254,32.9523 -18.233,32.9505 -18.2413,32.955 -18.2563,32.9702 -18.2775,33.0169 -18.3137,33.035 -18.3329,33.0428 -18.352,33.0381 -18.3631,33.0092 -18.3839,32.9882 -18.4132,32.9854 -18.4125,32.9868 -18.4223,32.9995 -18.4367,33.003 -18.4469,32.9964 -18.4671,32.9786 -18.4801,32.9566 -18.4899,32.9371 -18.501,32.9193 -18.51,32.9003 -18.5153,32.8831 -18.5221,32.8707 -18.5358,32.8683 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​

Uso da função polygonPerimeterSpherical

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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.)]]])

25

​

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.)]]])

15

​

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.