Fonctions de manipulation des Polygons

Documentation sur Polygon

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WKT

Renvoie un objet géométrique WKT (Well Known Text) à partir de différents types de données Geo. Les objets WKT pris en charge sont :

• POINT
• POLYGON
• MULTIPOLYGON
• LINESTRING
• MULTILINESTRING

Syntaxe

WKT(geo_data)

Paramètres

geo_data peut être l’un des types de données Geo suivants, ou l’un de leurs types primitifs sous-jacents :

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

Valeur renvoyée

• L’objet géométrique WKT POINT est renvoyé pour un Point.
• L’objet géométrique WKT POLYGON est renvoyé pour un Polygon.
• L’objet géométrique WKT MULTIPOLYGON est renvoyé pour un MultiPolygon.
• L’objet géométrique WKT LINESTRING est renvoyé pour un LineString.
• L’objet géométrique WKT MULTILINESTRING est renvoyé pour un MultiLineString.

Exemples

POINT à partir d’un tuple :

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

POINT(0 0)

POLYGON à partir d’un tableau de tuples ou d’un tableau de tableaux de tuples :

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

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

MULTIPOLYGON à partir d’un tableau de tableaux de tuples multidimensionnels :

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

Convertit un MultiPolygon au format WKT (Well Known Text) en type MultiPolygon.

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Exemple

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	sortie
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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Paramètres d’entrée

chaîne commençant par MULTIPOLYGON

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valeur renvoyée

MultiPolygon

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readWKTPolygon

Convertit un MultiPolygon WKT (Well Known Text) en objet de type Polygon.

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Exemple

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

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Paramètres d’entrée

Chaîne commençant par POLYGON

​

valeur renvoyée

Polygon

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readWKTPoint

La fonction readWKTPoint de ClickHouse analyse la représentation Well-Known Text (WKT) d’une géométrie de type Point et renvoie un point dans le format interne de ClickHouse.

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Syntaxe

readWKTPoint(wkt_string)

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Arguments

• wkt_string : la chaîne WKT en entrée représentant une géométrie Point.

​

Valeur renvoyée

La fonction renvoie une représentation interne propre à ClickHouse de la géométrie de type Point.

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Exemple

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

(1.2,3.4)

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readWKTLineString

Analyse une représentation Well-Known Text (WKT) d’une géométrie LineString et la renvoie dans le format interne de ClickHouse.

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Syntaxe

readWKTLineString(wkt_string)

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Arguments

• wkt_string : la chaîne WKT en entrée représentant une géométrie LineString.

​

Valeur renvoyée

La fonction renvoie une représentation interne de ClickHouse de la géométrie LineString.

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Exemple

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

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

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readWKTMultiLineString

Analyse la représentation Well-Known Text (WKT) d’une géométrie MultiLineString et la renvoie dans le format interne de ClickHouse.

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Syntaxe

readWKTMultiLineString(wkt_string)

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Arguments

• wkt_string : la chaîne WKT en entrée représentant une géométrie de type MultiLineString.

​

Valeur renvoyée

La fonction renvoie une représentation interne de ClickHouse pour la géométrie multilinestring.

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Exemple

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

Analyse une représentation d’une géométrie Polygon au format Well-Known Text (WKT) et renvoie un anneau (linestring fermé) dans le format interne de ClickHouse.

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Syntaxe

readWKTRing(wkt_string)

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Arguments

• wkt_string : Chaîne WKT d’entrée représentant une géométrie de type Polygon.

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Valeur renvoyée

La fonction renvoie une représentation interne ClickHouse de la géométrie de type anneau (linestring fermé).

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Exemple

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

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

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polygonsWithinSpherical

Renvoie true ou false selon qu’un polygone est entièrement contenu ou non dans un autre polygone. Référence https://www.boost.org/doc/libs/1_62_0/libs/geometry/doc/html/geometry/reference/algorithms/within/within_2.html

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Exemple

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

Convertit un MultiPolygon WKB (Well Known Binary) en type MultiPolygon.

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Exemple

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

type	sortie
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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Paramètres d’entrée

chaîne de caractères commençant par MULTIPOLYGON

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Valeur renvoyée

MultiPolygon

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readWKBPolygon

Convertit un MultiPolygon WKB (Well Known Binary) en type Polygon.

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Exemple

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

Type	résultat
Polygon	[[(2,0),(10,0),(10,10),(0,10),(2,0)]]

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Paramètres d’entrée

Chaîne commençant par POLYGON

​

Valeur renvoyée

Polygon

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readWKBPoint

La fonction readWKBPoint de ClickHouse interprète une représentation Well-Known Binary (WKB) d’une géométrie de type Point et renvoie un point dans le format interne de ClickHouse.

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Syntaxe

readWKBPoint(wkb_string)

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Arguments

• wkb_string : la chaîne WKB en entrée représentant une géométrie Point.

​

Valeur renvoyée

La fonction renvoie la représentation interne de ClickHouse pour la géométrie Point.

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Exemple

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

(1.2,3.4)

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readWKBLineString

Analyse une représentation binaire bien connue (WKB) d’une géométrie LineString et la renvoie au format interne de ClickHouse.

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Syntaxe

readWKBLineString(wkb_string)

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Arguments

• wkb_string : la chaîne WKB en entrée représentant une géométrie LineString.

​

Valeur renvoyée

La fonction renvoie une représentation interne de ClickHouse de la géométrie de type linestring.

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Exemple

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

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

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readWKBMultiLineString

Analyse une représentation Well-Known Binary (WKB) d’une géométrie MultiLineString et la renvoie dans le format interne de ClickHouse.

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Syntaxe

readWKBMultiLineString(wkb_string)

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Arguments

• wkb_string : La chaîne WKB en entrée représentant une géométrie MultiLineString.

​

Valeur renvoyée

La fonction renvoie une représentation interne à ClickHouse de la géométrie multilinestring.

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Exemple

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

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

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Paramètres d’entrée

​

Valeur renvoyée

UInt8, 0 pour false, 1 pour true

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polygonsDistanceSpherical

Calcule la distance minimale entre deux points, l’un appartenant au premier polygone et l’autre à un second polygone. Spherical signifie que les coordonnées sont interprétées comme celles d’une sphère parfaite et idéale, ce qui n’est pas le cas de la Terre. L’utilisation de ce type de système de coordonnées accélère l’exécution, mais n’est bien sûr pas précise.

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Exemple

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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Paramètres d’entrée

Deux polygones

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Valeur renvoyée

Float64

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polygonsDistanceCartesian

Calcule la distance entre deux polygones

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Exemple

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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Paramètres d’entrée

Deux polygones

​

Valeur renvoyée

Float64

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polygonsEqualsCartesian

Renvoie true lorsque deux polygones sont égaux

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Exemple

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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Paramètres d’entrée

Deux polygones

​

Valeur renvoyée

UInt8, 0 pour false, 1 pour true

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polygonsSymDifferenceSpherical

Calcule la différence symétrique spatiale en théorie des ensembles (XOR) entre deux polygones

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Exemple

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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Paramètres d’entrée

Polygones

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Valeur renvoyée

MultiPolygon

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polygonsSymDifferenceCartesian

Identique à polygonsSymDifferenceSpherical, mais les coordonnées sont exprimées dans le système de coordonnées cartésien, qui se rapproche davantage du modèle réel de la Terre.

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Exemple

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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Paramètres d’entrée

Polygones

​

valeur renvoyée

MultiPolygon

​

polygonsIntersectionSpherical

Calcule l’intersection (AND) entre des polygones ; les coordonnées sont sphériques.

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Exemple

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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Paramètres d’entrée

Polygones

​

Valeur renvoyée

MultiPolygon

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polygonsWithinCartesian

Renvoie true si le second polygone est contenu dans le premier.

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Exemple

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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Paramètres d’entrée

Deux polygones

​

Valeur renvoyée

UInt8, 0 pour false, 1 pour true

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polygonsIntersectCartesian

Renvoie true si les deux polygones se recoupent (partagent une zone ou une limite commune).

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Exemple

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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Paramètres d’entrée

Deux polygones

​

valeur renvoyée

UInt8, 0 pour false, 1 pour true

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polygonsIntersectSpherical

Renvoie true si les deux polygones se recoupent (partagent une zone ou une frontière communes). Référence : https://www.boost.org/doc/libs/1_62_0/libs/geometry/doc/html/geometry/reference/algorithms/intersects.html

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Exemple

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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Paramètres d’entrée

Deux polygones

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Valeur renvoyée

UInt8, 0 pour false, 1 pour true

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polygonConvexHullCartesian

Calcule l’enveloppe convexe. Référence

Les coordonnées sont exprimées dans le système de coordonnées cartésiennes.

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Exemple

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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Paramètres d’entrée

MultiPolygon

​

Valeur renvoyée

Polygon

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polygonAreaSpherical

Calcule l’aire d’un polygone.

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Exemple

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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Paramètres d’entrée

Polygon

​

Valeur renvoyée

Float

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polygonsUnionSpherical

Calcule l’union (OR).

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Exemple

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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Paramètres d’entrée

Polygones

​

valeur renvoyée

MultiPolygon

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polygonPerimeterSpherical

Calcule le périmètre du polygone.

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Exemple

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Polygone représentant le Zimbabwe

Voici le polygone représentant le 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 -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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​

Utilisation de la fonction 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

​

Paramètres d’entrée

​

Valeur renvoyée

​

polygonsIntersectionCartesian

Calcule l’intersection de polygones.

​

Exemple

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)))

​

Paramètres d’entrée

Polygones

​

Valeur renvoyée

MultiPolygon

​

polygonAreaCartesian

Calcule l’aire d’un polygone

​

Exemple

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

25

​

Paramètres d’entrée

Polygon

​

valeur renvoyée

Float64

​

polygonPerimeterCartesian

Calcule le périmètre d’un polygone.

​

Exemple

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

15

​

Paramètres d’entrée

Polygon

​

Valeur renvoyée

Float64

​

polygonsUnionCartesian

Calcule l’union des polygones.

​

Exemple

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)))

​

Paramètres d’entrée

Polygones

​

Valeur renvoyée

MultiPolygon

Pour en savoir plus sur les systèmes géométriques, consultez cette présentation de la bibliothèque Boost, utilisée par ClickHouse.