处理 Polygon 的函数 | ClickHouse Docs

WKT

从各种Geo 数据类型生成 WKT (Well Known Text) 几何对象。支持的 WKT 对象包括：

POINT
MULTIPOINT
POLYGON
MULTIPOLYGON
LINESTRING
MULTILINESTRING

语法

WKT(geo_data)

参数

geo_data 可以是以下 Geo 数据类型之一，或其底层基本类型：

返回值

对于 Point，返回 WKT 几何对象 POINT。
对于 MultiPoint，返回 WKT 几何对象 MULTIPOINT。
对于 Polygon，返回 WKT 几何对象 POLYGON
对于 MultiPolygon，返回 WKT 几何对象 MULTIPOLYGON。
对于 LineString，返回 WKT 几何对象 LINESTRING。
对于 MultiLineString，返回 WKT 几何对象 MULTILINESTRING。

示例

来自 Tuple 的 POINT：

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

POINT(0 0)

由元组数组或元组数组的数组构建的 POLYGON：

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

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

由多维元组数组组成的数组构造的 MULTIPOLYGON：

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

将 WKT (Well Known Text) 格式的 MultiPolygon 转换为 MultiPolygon 类型。

示例

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

类型	输出
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)]]]

输入参数

以 MULTIPOLYGON 开头的 String 字符串

返回值

MultiPolygon

readWKTPolygon

将 WKT (Well Known Text) MultiPolygon 转换为 Polygon 类型。

示例

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

类型	输出
Polygon	[[(2,0),(10,0),(10,10),(0,10),(2,0)]]

输入参数

以 POLYGON 开头的 String

返回值

Polygon

readWKTPoint

ClickHouse 中的 readWKTPoint 函数用于解析 Point 几何类型的 Well-Known Text (WKT) 表示，并返回 ClickHouse 内部格式的点。

语法

readWKTPoint(wkt_string)

参数

wkt_string：输入的 WKT 字符串，用于表示 Point 几何体。

返回值

该函数返回 Point 几何对象的 ClickHouse 内部表示。

示例

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

(1.2,3.4)

readWKTLineString

解析表示 LineString 几何对象的 Well-Known Text (WKT) ，并以 ClickHouse 的内部格式返回。

语法

readWKTLineString(wkt_string)

参数

wkt_string：表示 LineString 几何类型的输入 WKT 字符串。

返回值

该函数返回 ClickHouse 对 LineString 几何对象的内部表示。

示例

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

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

readWKTMultiLineString

解析 MultiLineString 几何类型的 Well-Known Text (WKT) 表示，并以 ClickHouse 的内部格式返回。

语法

readWKTMultiLineString(wkt_string)

参数

wkt_string：表示 MultiLineString 几何类型的输入 WKT 字符串。

返回值

该函数返回 ClickHouse 对 MultiLineString 几何对象的内部表示形式。

示例

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

解析 MultiPoint 几何对象的 Well-Known Text (WKT) 表示，并以 ClickHouse 内部格式返回。

语法

readWKTMultiPoint(wkt_string)

参数

wkt_string：表示 MultiPoint 几何对象的输入 WKT 字符串。

返回值

该函数返回多点几何的 ClickHouse 内部表示形式。

示例

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

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

readWKTRing

解析 Polygon 几何类型的 Well-Known Text (WKT) 表示，并以 ClickHouse 内部格式返回一个 Ring (闭合线串) 。

语法

readWKTRing(wkt_string)

参数

wkt_string：输入的 WKT 字符串，表示一个 Polygon 几何对象。

返回值

该函数返回 Ring (闭合线串) 几何对象的 ClickHouse 内部表示。

示例

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

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

polygonsWithinSpherical

返回 true 或 false，表示一个 Polygon 是否完全位于另一个 Polygon 内部。参考 https://www.boost.org/doc/libs/1_62_0/libs/geometry/doc/html/geometry/reference/algorithms/within/within_2.html

示例

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

将 WKB (Well Known Binary) MultiPolygon 转换为 MultiPolygon 类型的值。

示例

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

类型	输出
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)]]]

输入参数

以 MULTIPOLYGON 开头的字符串

返回值

MultiPolygon

readWKBPolygon

将 WKB (Well Known Binary) MultiPolygon 转换为 Polygon 类型。

示例

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

类型	输出
Polygon	[[(2,0),(10,0),(10,10),(0,10),(2,0)]]

输入参数

以 POLYGON 开头的 String

返回值

Polygon

readWKBPoint

ClickHouse 中的 readWKBPoint 函数用于解析 Point 几何对象的 Well-Known Binary (WKB) 表示，并返回 ClickHouse 内部格式的点。

语法

readWKBPoint(wkb_string)

参数

wkb_string: 表示点几何对象的输入 WKB 字符串。

返回值

该函数返回 Point 几何对象在 ClickHouse 中的内部表示。

示例

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

(1.2,3.4)

readWKBLineString

解析 LineString 几何对象的 Well-Known Binary (WKB) 表示，并以 ClickHouse 的内部格式返回。

语法

readWKBLineString(wkb_string)

参数

wkb_string：表示 LineString 几何类型的输入 WKB 字符串。

返回值

该函数返回 LineString 几何对象的 ClickHouse 内部表示。

示例

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

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

readWKBMultiLineString

将 MultiLineString 几何对象的 Well-Known Binary (WKB) 表示解析为 ClickHouse 内部格式并返回。

语法

readWKBMultiLineString(wkb_string)

参数

wkb_string：表示 MultiLineString 几何图形的输入 WKB 字符串。

返回值

该函数返回 ClickHouse 对 multilinestring 几何对象的内部表示。

示例

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

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

输入参数

返回值

UInt8，false 时为 0，true 时为 1

readWKBMultiPoint

解析 MultiPoint 几何对象的 Well-Known Binary (WKB) 表示，并以 ClickHouse 内部格式返回。

语法

readWKBMultiPoint(wkb_string)

参数

wkb_string：表示 MultiPoint 几何对象的输入 WKB 字符串。

返回值

该函数返回多点几何的 ClickHouse 内部表示形式。

示例

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

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

polygonsDistanceSpherical

计算两个点之间的最小距离，其中一个点属于第一个 Polygon，另一个点属于另一个 Polygon。这里的“球面”是指将坐标解释为纯粹的理想球体上的坐标，而地球并非如此。使用这种坐标系可以加快执行速度，但精度较低。

示例

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

输入参数

两个多边形

返回值

Float64

polygonsDistanceCartesian

计算两个多边形之间的距离

示例

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

输入参数

两个多边形

返回值

Float64

polygonsEqualsCartesian

如果两个多边形相同，则返回 true

示例

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

输入参数

两个多边形

返回值

UInt8，false 时为 0，true 时为 1

polygonsSymDifferenceSpherical

计算两个多边形的空间集合论对称差 (异或)

示例

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)))

输入参数

Polygon

返回值

MultiPolygon

polygonsSymDifferenceCartesian

与 polygonsSymDifferenceSpherical 相同，但坐标采用笛卡尔坐标系；这种坐标系更接近真实地球模型。

示例

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)))

输入参数

多个 Polygon

返回值

MultiPolygon

polygonsIntersectionSpherical

计算多边形之间的交集 (与) ，坐标采用球面坐标。

示例

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)))

与 polygonsIntersectCartesian 不同，它接受任何几何数据类型 (Point、MultiPoint、LineString、MultiLineString、Ring、Polygon、MultiPolygon) ，包括通用的 Geometry 类型，并且两个参数可以是不同的类型。

坐标采用笛卡尔坐标系。

示例

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

输入参数

两个任意几何数据类型 (或 Geometry) 的几何对象。

返回值

UInt8，false 表示 0，true 表示 1

geometryIntersectSpherical

如果两个几何对象相交 (即共享任意公共点、线或区域) ，则返回 true。

与 polygonsIntersectSpherical 不同，它接受任何几何数据类型 (Point、MultiPoint、LineString、MultiLineString、Ring、Polygon、MultiPolygon) ，包括通用的 Geometry 类型，并且两个参数可以是不同的类型。

坐标会被视为位于理想球面上。

示例

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)

输入参数

任意几何数据类型 (或 Geometry) 的两个几何对象。

返回值

UInt8，false 时为 0，true 时为 1

polygonConvexHullCartesian

计算凸包。参考资料

坐标位于笛卡尔坐标系中。

示例

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

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

输入参数

MultiPolygon

返回值

Polygon

polygonAreaSpherical

计算 Polygon 的表面积。

示例

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

输入参数

Polygon

返回值

浮点数

polygonsUnionSpherical

计算并集 (OR) 。

示例

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)))

输入参数

Polygon

返回值

MultiPolygon

polygonPerimeterSpherical

计算 Polygon 的周长。

示例

表示津巴布韦的 Polygon

这是表示津巴布韦的 Polygon：

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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polygonPerimeterSpherical 函数用法

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0.45539

输入参数

返回值

polygonsIntersectionCartesian

计算多个多边形的交集。

示例

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)))

输入参数

Polygon

返回值

MultiPolygon

polygonAreaCartesian

计算 Polygon 的面积

示例

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

输入参数

Polygon

返回值

Float64

polygonPerimeterCartesian

计算 Polygon 的周长。

示例

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

输入参数

Polygon

返回值

Float64

polygonsUnionCartesian

计算多边形的并集。

示例

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)))

输入参数

Polygon

返回值

MultiPolygon

有关几何系统的更多信息，请参阅这份关于 Boost 库的演示文稿；ClickHouse 使用的正是该库。