> ## Documentation Index > Fetch the complete documentation index at: https://private-7c7dfe99-mintlify-8c05c8a2.mintlify.site/llms.txt > Use this file to discover all available pages before exploring further. > Documentation sur Polygon # Fonctions de manipulation des Polygons
## WKT
Renvoie un objet géométrique WKT (Well Known Text) à partir de différents [types de données Geo](/fr/reference/data-types/geo). Les objets WKT pris en charge sont : * POINT * POLYGON * MULTIPOLYGON * LINESTRING * MULTILINESTRING **Syntaxe** ```sql theme={null} WKT(geo_data) ``` **Paramètres** `geo_data` peut être l’un des [types de données Geo](/fr/reference/data-types/geo) suivants, ou l’un de leurs types primitifs sous-jacents : * [Point](/fr/reference/data-types/geo#point) * [Ring](/fr/reference/data-types/geo#ring) * [Polygon](/fr/reference/data-types/geo#polygon) * [MultiPolygon](/fr/reference/data-types/geo#multipolygon) * [LineString](/fr/reference/data-types/geo#linestring) * [MultiLineString](/fr/reference/data-types/geo#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 : ```sql theme={null} SELECT wkt((0., 0.)); ``` ```response theme={null} POINT(0 0) ``` POLYGON à partir d’un tableau de tuples ou d’un tableau de tableaux de tuples : ```sql theme={null} SELECT wkt([(0., 0.), (10., 0.), (10., 10.), (0., 10.)]); ``` ```response theme={null} POLYGON((0 0,10 0,10 10,0 10)) ``` MULTIPOLYGON à partir d'un tableau de tableaux de tuples multidimensionnels : ```sql theme={null} SELECT wkt([[[(0., 0.), (10., 0.), (10., 10.), (0., 10.)], [(4., 4.), (5., 4.), (5., 5.), (4., 5.)]], [[(-10., -10.), (-10., -9.), (-9., 10.)]]]); ``` ```response theme={null} 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
Convertit un MultiPolygon au format WKT (Well Known Text) en type MultiPolygon.
### Exemple
```sql theme={null} 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)]]] |
### Paramètres d'entrée
chaîne commençant par `MULTIPOLYGON`
### valeur renvoyée
MultiPolygon
## readWKTPolygon
Convertit un MultiPolygon WKT (Well Known Text) en objet de type Polygon.
### Exemple
```sql theme={null} 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)]] |
### Paramètres d’entrée
Chaîne commençant par `POLYGON`
### valeur renvoyée
Polygon
## 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.
### Syntaxe
```sql theme={null} readWKTPoint(wkt_string) ```
### 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.
### Exemple
```sql theme={null} SELECT readWKTPoint('POINT (1.2 3.4)'); ``` ```response theme={null} (1.2,3.4) ```
## readWKTLineString
Analyse une représentation Well-Known Text (WKT) d'une géométrie LineString et la renvoie dans le format interne de ClickHouse.
### Syntaxe
```sql theme={null} readWKTLineString(wkt_string) ```
### 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.
### Exemple
```sql theme={null} SELECT readWKTLineString('LINESTRING (1 1, 2 2, 3 3, 1 1)'); ``` ```response theme={null} [(1,1),(2,2),(3,3),(1,1)] ```
## readWKTMultiLineString
Analyse la représentation Well-Known Text (WKT) d’une géométrie MultiLineString et la renvoie dans le format interne de ClickHouse.
### Syntaxe
```sql theme={null} readWKTMultiLineString(wkt_string) ```
### 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.
### Exemple
```sql theme={null} SELECT readWKTMultiLineString('MULTILINESTRING ((1 1, 2 2, 3 3), (4 4, 5 5, 6 6))'); ``` ```response theme={null} [[(1,1),(2,2),(3,3)],[(4,4),(5,5),(6,6)]] ```
## 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.
### Syntaxe
```sql theme={null} readWKTRing(wkt_string) ```
### Arguments
* `wkt_string` : Chaîne WKT d’entrée représentant une géométrie de type Polygon.
### Valeur renvoyée
La fonction renvoie une représentation interne ClickHouse de la géométrie de type anneau (linestring fermé).
### Exemple
```sql theme={null} SELECT readWKTRing('POLYGON ((1 1, 2 2, 3 3, 1 1))'); ``` ```response theme={null} [(1,1),(2,2),(3,3),(1,1)] ```
## 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](https://www.boost.org/doc/libs/1\_62\_0/libs/geometry/doc/html/geometry/reference/algorithms/within/within\_2.html)
### Exemple
```sql theme={null} 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)]]]); ``` ```response theme={null} 0 ```
## readWKBMultiPolygon
Convertit un MultiPolygon WKB (Well Known Binary) en type MultiPolygon.
### Exemple
```sql theme={null} 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)]]] |
### Paramètres d’entrée
chaîne de caractères commençant par `MULTIPOLYGON`
### Valeur renvoyée
MultiPolygon
## readWKBPolygon
Convertit un MultiPolygon WKB (Well Known Binary) en type Polygon.
### Exemple
```sql theme={null} 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)]] |
### Paramètres d'entrée
Chaîne commençant par `POLYGON`
### Valeur renvoyée
Polygon
## 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.
### Syntaxe
```sql theme={null} readWKBPoint(wkb_string) ```
### 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.
### Exemple
```sql theme={null} SELECT readWKBPoint(unhex('0101000000333333333333f33f3333333333330b40')); ``` ```response theme={null} (1.2,3.4) ```
## readWKBLineString
Analyse une représentation binaire bien connue (WKB) d'une géométrie LineString et la renvoie au format interne de ClickHouse.
### Syntaxe
```sql theme={null} readWKBLineString(wkb_string) ```
### 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.
### Exemple
```sql theme={null} SELECT readWKBLineString(unhex('010200000004000000000000000000f03f000000000000f03f0000000000000040000000000000004000000000000008400000000000000840000000000000f03f000000000000f03f')); ``` ```response theme={null} [(1,1),(2,2),(3,3),(1,1)] ```
## readWKBMultiLineString
Analyse une représentation Well-Known Binary (WKB) d’une géométrie MultiLineString et la renvoie dans le format interne de ClickHouse.
### Syntaxe
```sql theme={null} readWKBMultiLineString(wkb_string) ```
### 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.
### Exemple
```sql theme={null} SELECT readWKBMultiLineString(unhex('010500000002000000010200000003000000000000000000f03f000000000000f03f0000000000000040000000000000004000000000000008400000000000000840010200000003000000000000000000104000000000000010400000000000001440000000000000144000000000000018400000000000001840')); ``` ```response theme={null} [[(1,1),(2,2),(3,3)],[(4,4),(5,5),(6,6)]] ```
### Paramètres d’entrée
### Valeur renvoyée
UInt8, 0 pour false, 1 pour true
## 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.
### Exemple
```sql theme={null} SELECT polygonsDistanceSpherical([[[(0, 0), (0, 0.1), (0.1, 0.1), (0.1, 0)]]], [[[(10., 10.), (10., 40.), (40., 40.), (40., 10.), (10., 10.)]]]) ``` ```response theme={null} 0.24372872211133834 ```
### Paramètres d’entrée
Deux polygones
### Valeur renvoyée
Float64
## polygonsDistanceCartesian
Calcule la distance entre deux polygones
### Exemple
```sql theme={null} SELECT polygonsDistanceCartesian([[[(0, 0), (0, 0.1), (0.1, 0.1), (0.1, 0)]]], [[[(10., 10.), (10., 40.), (40., 40.), (40., 10.), (10., 10.)]]]) ``` ```response theme={null} 14.000714267493642 ```
### Paramètres d’entrée
Deux polygones
### Valeur renvoyée
Float64
## polygonsEqualsCartesian
Renvoie true lorsque deux polygones sont égaux
### Exemple
```sql theme={null} SELECT polygonsEqualsCartesian([[[(1., 1.), (1., 4.), (4., 4.), (4., 1.)]]], [[[(1., 1.), (1., 4.), (4., 4.), (4., 1.), (1., 1.)]]]) ``` ```response theme={null} 1 ```
### Paramètres d’entrée
Deux polygones
### Valeur renvoyée
UInt8, 0 pour false, 1 pour true
## polygonsSymDifferenceSpherical
Calcule la différence symétrique spatiale en théorie des ensembles (XOR) entre deux polygones
### Exemple
```sql theme={null} 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.)]]))); ``` ```response theme={null} 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))) ```
### Paramètres d’entrée
Polygones
### Valeur renvoyée
MultiPolygon
## 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.
### Exemple
```sql theme={null} 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.)]]])) ``` ```response theme={null} 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))) ```
### Paramètres d’entrée
Polygones
### valeur renvoyée
MultiPolygon
## polygonsIntersectionSpherical
Calcule l’intersection (AND) entre des polygones ; les coordonnées sont sphériques.
### Exemple
```sql theme={null} 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)]]]))) ``` ```response theme={null} 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))) ```
### Paramètres d’entrée
Polygones
### Valeur renvoyée
MultiPolygon
## polygonsWithinCartesian
Renvoie true si le second polygone est contenu dans le premier.
### Exemple
```sql theme={null} SELECT polygonsWithinCartesian([[[(2., 2.), (2., 3.), (3., 3.), (3., 2.)]]], [[[(1., 1.), (1., 4.), (4., 4.), (4., 1.), (1., 1.)]]]) ``` ```response theme={null} 1 ```
### Paramètres d’entrée
Deux polygones
### Valeur renvoyée
UInt8, 0 pour false, 1 pour true
## polygonsIntersectCartesian
Renvoie true si les deux polygones se recoupent (partagent une zone ou une limite commune).
### Exemple
```sql theme={null} SELECT polygonsIntersectCartesian([[[(2., 2.), (2., 3.), (3., 3.), (3., 2.)]]], [[[(1., 1.), (1., 4.), (4., 4.), (4., 1.), (1., 1.)]]]) ``` ```response theme={null} 1 ```
### Paramètres d'entrée
Deux polygones
### valeur renvoyée
UInt8, 0 pour false, 1 pour true
## 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](https://www.boost.org/doc/libs/1\_62\_0/libs/geometry/doc/html/geometry/reference/algorithms/intersects.html)
### Exemple
```sql theme={null} 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)]]]); ``` ```response theme={null} 1 ```
### Paramètres d’entrée
Deux polygones
### Valeur renvoyée
UInt8, 0 pour false, 1 pour true
## polygonConvexHullCartesian
Calcule l’enveloppe convexe. [Référence](https://www.boost.org/doc/libs/1_61_0/libs/geometry/doc/html/geometry/reference/algorithms/convex_hull.html) Les coordonnées sont exprimées dans le système de coordonnées cartésiennes.
### Exemple
```sql theme={null} SELECT wkt(polygonConvexHullCartesian([[[(0., 0.), (0., 5.), (5., 5.), (5., 0.), (2., 3.)]]])) ``` ```response theme={null} POLYGON((0 0,0 5,5 5,5 0,0 0)) ```
### Paramètres d’entrée
MultiPolygon
### Valeur renvoyée
Polygon
## polygonAreaSpherical
Calcule l’aire d’un polygone.
### Exemple
```sql theme={null} 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) ``` ```response theme={null} 9.387704e-8 ```
### Paramètres d’entrée
Polygon
### Valeur renvoyée
Float
## polygonsUnionSpherical
Calcule l’union (OR).
### Exemple
```sql theme={null} 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)]]])) ``` ```response theme={null} 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))) ```
### Paramètres d’entrée
Polygones
### valeur renvoyée
MultiPolygon
## polygonPerimeterSpherical
Calcule le périmètre du polygone.
### Exemple
#### Polygone représentant le Zimbabwe
Voici le polygone représentant le Zimbabwe : ```text theme={null} 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 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-15.6415,30.0107 -15.6462)) ```
#### Utilisation de la fonction polygonPerimeterSpherical
```sql theme={null} 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, -16.000211), (31.259983, -16.023465), (31.278897, -16.030287), (31.29533, -16.041655), (31.309592, -16.059019), (31.328351, -16.092815), (31.340908, -16.106664), (31.360339, -16.116896), (31.37026, -16.123718), (31.374601, -16.132916), (31.377754, -16.142218), (31.384006, -16.148832), (31.387727, -16.149556), (31.395582, -16.147695), (31.399613, -16.147282), (31.404315, -16.149866), (31.404057, -16.154517), (31.402713, -16.159374), (31.404574, -16.162268), (31.424107, -16.164749), (31.445708, -16.164955), (31.465655, -16.167746), (31.480641, -16.177978), (31.519192, -16.196478), (31.686107, -16.207227), (31.710705, -16.217872), (31.738197, -16.239783), (31.798761, -16.303655), (31.818088, -16.319571), (31.86005, -16.340759), (31.871935, -16.35037), (31.88072, -16.368044), (31.88563, -16.406284), (31.894363, -16.421477), (31.910279, -16.428919), (32.014149, -16.444938), (32.211759, -16.440184), (32.290463, -16.45176), (32.393661, -16.491757), (32.5521, -16.553355), 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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) ``` ```response theme={null} 0.45539 ```
### Paramètres d’entrée
### Valeur renvoyée
## polygonsIntersectionCartesian
Calcule l’intersection de polygones.
### Exemple
```sql theme={null} 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.)]]])) ``` ```response theme={null} 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
```sql theme={null} SELECT polygonAreaCartesian([[[(0., 0.), (0., 5.), (5., 5.), (5., 0.)]]]) ``` ```response theme={null} 25 ```
### Paramètres d’entrée
Polygon
### valeur renvoyée
Float64
## polygonPerimeterCartesian
Calcule le périmètre d’un polygone.
### Exemple
```sql theme={null} SELECT polygonPerimeterCartesian([[[(0., 0.), (0., 5.), (5., 5.), (5., 0.)]]]) ``` ```response theme={null} 15 ```
### Paramètres d’entrée
Polygon
### Valeur renvoyée
Float64
## polygonsUnionCartesian
Calcule l’union des polygones.
### Exemple
```sql theme={null} 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.)]]])) ``` ```response theme={null} 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](https://archive.fosdem.org/2020/schedule/event/working_with_spatial_trajectories_in_boost_geometry/attachments/slides/3988/export/events/attachments/working_with_spatial_trajectories_in_boost_geometry/slides/3988/FOSDEM20_vissarion.pdf) de la bibliothèque Boost, utilisée par ClickHouse.