Polygon を扱う関数

Polygon のドキュメント

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WKT

さまざまなGeo データ型から、WKT (Well Known Text) 形式のジオメトリオブジェクトを返します。サポートされている WKT オブジェクトは次のとおりです。

• POINT
• POLYGON
• MULTIPOLYGON
• LINESTRING
• MULTILINESTRING

構文

WKT(geo_data)

パラメータ

geo_data には、次のいずれかの Geoデータ型 またはそれらの基になるプリミティブ型を指定できます。

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

戻り値

• Point の場合は、WKT 幾何オブジェクト POINT が返されます。
• Polygon の場合は、WKT 幾何オブジェクト POLYGON が返されます。
• MultiPolygon の場合は、WKT 幾何オブジェクト MULTIPOLYGON が返されます。
• LineString の場合は、WKT 幾何オブジェクト LINESTRING が返されます。
• MultiLineString の場合は、WKT 幾何オブジェクト MULTILINESTRING が返されます。

例

Tuple からの POINT:

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

POINT(0 0)

タプルの配列、またはタプル配列の配列から作成するPOLYGON:

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

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

多次元のTuple配列の配列から作成する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)))

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readWKTMultiPolygon

WKT (Well Known Text) 形式のMultiPolygonをMultiPolygon型に変換します。

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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

型	出力
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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入力パラメータ

MULTIPOLYGON で始まる文字列

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戻り値

MultiPolygon

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readWKTPolygon

WKT (Well Known Text) 形式のMultiPolygonをPolygon型に変換します。

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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

型	出力
Polygon	[[(2,0),(10,0),(10,10),(0,10),(2,0)]]

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入力パラメータ

POLYGON で始まる文字列

​

戻り値

Polygon

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readWKTPoint

ClickHouse の readWKTPoint 関数は、Point ジオメトリの Well-Known Text (WKT) 表現を解析し、ClickHouse の内部フォーマットのPointを返します。

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構文

readWKTPoint(wkt_string)

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引数

• wkt_string: Point ジオメトリを表す WKT 形式の入力文字列。

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戻り値

この関数は、Point ジオメトリの ClickHouse における内部表現を返します。

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例

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

(1.2,3.4)

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readWKTLineString

LineString ジオメトリの Well-Known Text (WKT) 表現をパースし、ClickHouse の内部フォーマットで返します。

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構文

readWKTLineString(wkt_string)

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引数

• wkt_string: LineString ジオメトリを表す入力 WKT 文字列。

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戻り値

この関数は、LineString ジオメトリの ClickHouse 内部表現を返します。

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例

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

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

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readWKTMultiLineString

MultiLineStringジオメトリのWell-Known Text (WKT) 表現をパースし、ClickHouseの内部フォーマットで返します。

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構文

readWKTMultiLineString(wkt_string)

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引数

• wkt_string: MultiLineString ジオメトリを表す入力 WKT 文字列。

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戻り値

この関数は、MultiLineString ジオメトリの ClickHouse における内部表現を返します。

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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)]]

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readWKTRing

Polygon ジオメトリの Well-Known Text (WKT) 表現を解析し、ClickHouse の内部形式の ring (閉じた linestring) を返します。

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構文

readWKTRing(wkt_string)

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引数

• wkt_string: Polygon ジオメトリを表す入力 WKT 文字列。

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戻り値

この関数は、ring (閉じたラインストリング) ジオメトリの ClickHouse 内部表現を返します。

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例

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

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

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polygonsWithinSpherical

ある Polygon が別の Polygon の完全に内側にあるかどうかに応じて、true または false を返します。参考 https://www.boost.org/doc/libs/1_62_0/libs/geometry/doc/html/geometry/reference/algorithms/within/within_2.html

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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)]]]);

0

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readWKBMultiPolygon

WKB (Well Known Binary) 形式のMultiPolygonをMultiPolygon型に変換します。

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例

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

型	出力
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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入力パラメータ

先頭が MULTIPOLYGON のString

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戻り値

MultiPolygon

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readWKBPolygon

WKB (Well Known Binary) 形式のMultiPolygonをPolygon型に変換します。

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例

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

型	出力
Polygon	[[(2,0),(10,0),(10,10),(0,10),(2,0)]]

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入力パラメータ

POLYGON で始まる文字列

​

戻り値

Polygon

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readWKBPoint

ClickHouse の readWKBPoint 関数は、Point ジオメトリの Well-Known Binary (WKB) 表現を解析し、ClickHouse の内部形式の Point を返します。

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構文

readWKBPoint(wkb_string)

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引数

• wkb_string: Point ジオメトリを表す入力 WKB 文字列。

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戻り値

この関数は、Pointジオメトリの ClickHouse 内部表現を返します。

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例

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

(1.2,3.4)

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readWKBLineString

LineString ジオメトリの Well-Known Binary (WKB) 表現をパースし、ClickHouse の内部フォーマットで返します。

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構文

readWKBLineString(wkb_string)

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引数

• wkb_string: LineString ジオメトリを表す WKB 形式の入力文字列。

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戻り値

この関数は、LineString ジオメトリの ClickHouse 内部表現を返します。

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例

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

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

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readWKBMultiLineString

MultiLineString ジオメトリの Well-Known Binary (WKB) 表現をパースし、ClickHouse の内部フォーマットで返します。

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構文

readWKBMultiLineString(wkb_string)

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引数

• wkb_string: MultiLineString ジオメトリを表す入力用の WKB 文字列。

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戻り値

この関数は、MultiLineString ジオメトリの ClickHouse における内部表現を返します。

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例

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

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

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入力パラメータ

​

戻り値

UInt8。false の場合は 0、true の場合は 1

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polygonsDistanceSpherical

一方の点が最初の Polygon に属し、もう一方の点が別の Polygon に属するような2点間の最小距離を計算します。Spherical は、座標を純粋で理想的な球面上の座標として解釈することを意味しますが、これは地球には当てはまりません。この種類の座標系を使用すると実行速度は向上しますが、もちろん精度は高くありません。

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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

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入力パラメータ

2 つのPolygon

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戻り値

Float64

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polygonsDistanceCartesian

2つのPolygon間の距離を計算します

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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

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入力パラメータ

2つのPolygon

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戻り値

Float64

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polygonsEqualsCartesian

2 つのPolygonが等しい場合に true を返します

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例

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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入力パラメータ

2 つのPolygon

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戻り値

UInt8。false の場合は 0、true の場合は 1

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polygonsSymDifferenceSpherical

2 つのPolygonの空間的な集合論上の対称差 (XOR) を計算します

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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)))

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入力パラメータ

Polygons

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戻り値

MultiPolygon

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polygonsSymDifferenceCartesian

polygonsSymDifferenceSpherical と同じですが、座標はデカルト座標系で表されており、現実の地球のモデルにより近くなります。

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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)))

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入力パラメータ

Polygons

​

戻り値

MultiPolygon

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polygonsIntersectionSpherical

Polygon同士の積集合 (AND) を計算します。座標は球面座標です。

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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)))

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入力パラメータ

Polygons

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戻り値

MultiPolygon

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polygonsWithinCartesian

2番目のPolygonが1番目のPolygonの内側にある場合に true を返します。

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例

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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入力パラメータ

2つのPolygon

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戻り値

UInt8。false の場合は 0、true の場合は 1

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polygonsIntersectCartesian

2 つの Polygon が交差している (共通の領域または境界を持つ) 場合に true を返します。

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例

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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入力パラメータ

2つのPolygon

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戻り値

UInt8。false の場合は 0、true の場合は 1

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polygonsIntersectSpherical

2 つの Polygon が交差している (共通の領域または境界を持つ) 場合に true を返します。Reference https://www.boost.org/doc/libs/1_62_0/libs/geometry/doc/html/geometry/reference/algorithms/intersects.html

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例

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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入力パラメータ

2つのPolygon

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戻り値

UInt8。false の場合は 0、true の場合は 1

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polygonConvexHullCartesian

凸包を計算します。参考

座標はデカルト座標系です。

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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))

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入力パラメータ

MultiPolygon

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戻り値

Polygon

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polygonAreaSpherical

Polygonの面積を計算します。

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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

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入力パラメータ

Polygon

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戻り値

Float

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polygonsUnionSpherical

和集合 (OR) を計算します。

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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)))

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入力パラメータ

Polygons

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戻り値

MultiPolygon

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polygonPerimeterSpherical

Polygon の周囲長を計算します。

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例

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ジンバブエを表すPolygon

これはジンバブエを表すPolygonです。

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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​

polygonPerimeterSpherical関数の使用

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

​

入力パラメータ

​

戻り値

​

polygonsIntersectionCartesian

Polygonの交差部分を計算します。

​

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)))

​

入力パラメータ

Polygons

​

戻り値

MultiPolygon

​

polygonAreaCartesian

ポリゴンの面積を計算します

​

例

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

25

​

入力パラメータ

Polygon

​

戻り値

Float64

​

polygonPerimeterCartesian

Polygon の周囲長を計算します。

​

例

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

15

​

入力パラメータ

Polygon

​

戻り値

Float64

​

polygonsUnionCartesian

Polygonの和集合を計算します。

​

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)))

​

入力パラメータ

Polygons

​

戻り値

MultiPolygon

ジオメトリシステムの詳細については、ClickHouse が使用している Boost ライブラリに関するこのプレゼンテーションをご覧ください。