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多边形处理函数

WKT​

さまざまな Geo Data Types から WKT (Well Known Text) 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 オブジェクトは以下の通りです：

  • POINT
  • POLYGON
  • MULTIPOLYGON
  • LINESTRING
  • MULTILINESTRING

構文

WKT(geo_data)

パラメーター

geo_data は次のいずれかの Geo Data Types またはそれらの基盤となるプリミティブ型です：

返される値

  • Point に対して WKT ジオメトリオブジェクト POINT が返されます。
  • Polygon に対して WKT ジオメトリオブジェクト POLYGON が返されます。
  • MultiPolygon に対して WKT ジオメトリオブジェクト MULTIPOLYGON が返されます。
  • LineString に対して WKT ジオメトリオブジェクト LINESTRING が返されます。
  • MultiLineString に対して WKT ジオメトリオブジェクト MULTILINESTRING が返されます。

例

タプルからの POINT:

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

POINT(0 0)

タプルの配列またはタプル配列からの POLYGON:

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

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

マルチ次元タプル配列の配列からの 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​

WKT (Well Known Text) マルチポリゴンを MultiPolygon 型に変換します。

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
typeoutput
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)]]]

入力パラメーター​

MULTIPOLYGON で始まる文字列

返される値​

MultiPolygon

readWKTPolygon​

WKT (Well Known Text) マルチポリゴンを Polygon 型に変換します。

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

入力パラメーター​

POLYGON で始まる文字列

返される値​

Polygon

readWKTPoint​

readWKTPoint 関数は ClickHouse で Well-Known Text (WKT) 表現の Point ジオメトリを解析し、内部 ClickHouse 形式のポイントを返します。

構文​

readWKTPoint(wkt_string)

引数​

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

返される値​

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

例​

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

(1.2,3.4)

readWKTLineString​

Well-Known Text (WKT) 表現の LineString ジオメトリを解析し、内部 ClickHouse 形式で返します。

構文​

readWKTLineString(wkt_string)

引数​

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

返される値​

この関数は ClickHouse 内部表現の linestring ジオメトリを返します。

例​

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

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

readWKTMultiLineString​

Well-Known Text (WKT) 表現の MultiLineString ジオメトリを解析し、内部 ClickHouse 形式で返します。

構文​

readWKTMultiLineString(wkt_string)

引数​

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

返される値​

この関数は ClickHouse 内部表現の multilinestring ジオメトリを返します。

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)]]

readWKTRing​

Well-Known Text (WKT) 表現の Polygon ジオメトリを解析し、内部 ClickHouse 形式でリング（閉じた linestring）を返します。

構文​

readWKTRing(wkt_string)

引数​

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

返される値​

この関数は ClickHouse 内部表現のリング（閉じた linestring）ジオメトリを返します。

例​

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

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

polygonsWithinSpherical​

1つのポリゴンが別のポリゴンの完全な内部にあるかどうかに応じて、真または偽を返します。参照 https://www.boost.org/doc/libs/1_62_0/libs/geometry/doc/html/geometry/reference/algorithms/within/within_2.html

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

readWKBMultiPolygon​

WKB (Well Known Binary) マルチポリゴンを MultiPolygon 型に変換します。

例​

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

入力パラメーター​

MULTIPOLYGON で始まる文字列

返される値​

MultiPolygon

readWKBPolygon​

WKB (Well Known Binary) ポリゴンを Polygon 型に変換します。

例​

SELECT
    toTypeName(readWKBPolygon(unhex('010300000001000000050000000000000000000040000000000000000000000000000024400000000000000000000000000000244000000000000024400000000000000000000000000000244000000000000000400000000000000000'))) AS type,
    readWKBPolygon(unhex('010300000001000000050000000000000000000040000000000000000000000000000024400000000000000000000000000000244000000000000024400000000000000000000000000000244000000000000000400000000000000000')) AS output
FORMAT Markdown
typeoutput
Polygon[[(2,0),(10,0),(10,10),(0,10),(2,0)]]

入力パラメーター​

POLYGON で始まる文字列

返される値​

Polygon

readWKBPoint​

readWKBPoint 関数は ClickHouse で Well-Known Binary (WKB) 表現の Point ジオメトリを解析し、内部 ClickHouse 形式のポイントを返します。

構文​

readWKBPoint(wkb_string)

引数​

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

返される値​

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

例​

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

(1.2,3.4)

readWKBLineString​

Well-Known Binary (WKB) 表現の LineString ジオメトリを解析し、内部 ClickHouse 形式で返します。

構文​

readWKBLineString(wkb_string)

引数​

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

返される値​

この関数は ClickHouse 内部表現の linestring ジオメトリを返します。

例​

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

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

readWKBMultiLineString​

Well-Known Binary (WKB) 表現の MultiLineString ジオメトリを解析し、内部 ClickHouse 形式で返します。

構文​

readWKBMultiLineString(wkb_string)

引数​

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

返される値​

この関数は ClickHouse 内部表現の multilinestring ジオメトリを返します。

例​

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

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

入力パラメーター​

返される値​

UInt8、0 は偽、1 は真

polygonsDistanceSpherical​

1つの点が最初のポリゴンに属し、別の点が別のポリゴンに属する場合の最小距離を計算します。球状とは、座標が純粋で理想的な球体上の座標として解釈されることを意味し、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、実行が高速化されますが、もちろん精度はありません。

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

入力パラメーター​

二つのポリゴン

返される値​

Float64

polygonsDistanceCartesian​

二つのポリゴン間の距離を計算します。

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

入力パラメーター​

二つのポリゴン

返される値​

Float64

polygonsEqualsCartesian​

二つのポリゴンが等しい場合、真を返します。

例​

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

1

入力パラメーター​

二つのポリゴン

返される値​

UInt8、0 は偽、1 は真

polygonsSymDifferenceSpherical​

二つのポリゴン間の空間集合論的な対称差 (XOR) を計算します。

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)))

入力パラメーター​

ポリゴン

返される値​

MultiPolygon

polygonsSymDifferenceCartesian​

polygonsSymDifferenceSpherical と同じですが、座標は Cartesian 座標系にあり、より現実の地球モデルに近いです。

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)))

入力パラメーター​

ポリゴン

返される値​

MultiPolygon

polygonsIntersectionSpherical​

ポリゴン間の交差 (AND) を計算します。座標は球状です。

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)))

入力パラメーター​

ポリゴン

返される値​

MultiPolygon

polygonsWithinCartesian​

2番目のポリゴンが1番目のポリゴン内にある場合、真を返します。

例​

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

1

入力パラメーター​

二つのポリゴン

返される値​

UInt8、0 は偽、1 は真

polygonsIntersectCartesian​

二つのポリゴンが交差する場合（共通の領域または境界を共有する）、真を返します。

例​

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

1

入力パラメーター​

二つのポリゴン

返される値​

UInt8、0 は偽、1 は真

polygonsIntersectSpherical​

二つのポリゴンが交差する場合（共通の領域または境界を共有する）。参照 https://www.boost.org/doc/libs/1_62_0/libs/geometry/doc/html/geometry/reference/algorithms/intersects.html

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

入力パラメーター​

二つのポリゴン

返される値​

UInt8、0 は偽、1 は真

polygonConvexHullCartesian​

凸包を計算します。 参照

座標は Cartesian 座標系にあります。

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))

入力パラメーター​

MultiPolygon

返される値​

Polygon

polygonAreaSpherical​

ポリゴンの表面積を計算します。

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

入力パラメーター​

Polygon

返される値​

Float

polygonsUnionSpherical​

和 (OR) を計算します。

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)))

入力パラメーター​

ポリゴン

返される値​

MultiPolygon

polygonPerimeterSpherical​

ポリゴンの周囲を計算します。

例​

ジンバブエを表すポリゴン​

これはジンバブエを表すポリゴンです：

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 -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 関数の使用​

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0.45539

入力パラメーター​

返される値​

polygonsIntersectionCartesian​

ポリゴンの交差を計算します。

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)))

入力パラメーター​

ポリゴン

返される値​

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

入力パラメーター​

Polygon

返される値​

Float64

polygonPerimeterCartesian​

ポリゴンの周囲を計算します。

例​

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

15

入力パラメーター​

Polygon

返される値​

Float64

polygonsUnionCartesian​

ポリゴンの和を計算します。

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)))

入力パラメーター​

ポリゴン

返される値​

MultiPolygon

ジオメトリシステムに関する詳細については、ClickHouse が使用する Boost ライブラリに関するこの プレゼンテーション を参照してください。