دوال للتعامل مع Polygons

توثيق Polygon

​

WKT

يعيد كائنًا هندسيًا بتنسيق WKT ‏(Well Known Text) من أنواع البيانات الجغرافية المختلفة. كائنات WKT المدعومة هي:

• POINT
• POLYGON
• MULTIPOLYGON
• LINESTRING
• MULTILINESTRING

البنية

WKT(geo_data)

المعلمات

يمكن أن تكون geo_data واحدة من أنواع البيانات الجغرافية التالية أو من أنواعها الأولية الأساسية:

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

القيمة المُعادة

• يُعاد الكائن الهندسي WKT POINT عند استخدام Point.
• يُعاد الكائن الهندسي WKT POLYGON عند استخدام Polygon.
• يُعاد الكائن الهندسي WKT MULTIPOLYGON عند استخدام MultiPolygon.
• يُعاد الكائن الهندسي WKT LINESTRING عند استخدام LineString.
• يُعاد الكائن الهندسي WKT MULTILINESTRING عند استخدام MultiLineString.

أمثلة

POINT من Tuple:

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

POINT(0 0)

POLYGON من مصفوفة من Tuple أو من مصفوفة من مصفوفات Tuple:

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

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

‏MULTIPOLYGON من مصفوفة من مصفوفات Tuple متعددة الأبعاد:

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

يحوّل قيمة MultiPolygon بتنسيق WKT ‏(Well Known Text) إلى نوع MultiPolygon.

​

مثال

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

النوع	الناتج
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)]]]

​

معلمات الإدخال

سلسلة تبدأ بـ MULTIPOLYGON

​

القيمة المُعادة

MultiPolygon

​

readWKTPolygon

يحوّل WKT ‏(Well Known Text) من النوع MultiPolygon إلى النوع Polygon.

​

مثال

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

النوع	الناتج
Polygon	[[(2,0),(10,0),(10,10),(0,10),(2,0)]]

​

معلمات الإدخال

سلسلة نصية تبدأ بـ POLYGON

​

القيمة المعادة

Polygon

​

readWKTPoint

تقوم الدالة readWKTPoint في ClickHouse بتحليل تمثيل Well-Known Text ‏(WKT) لهندسة من نوع Point، وتُرجع نقطة بالتنسيق الداخلي في ClickHouse.

​

الصيغة

readWKTPoint(wkt_string)

​

الوسائط

• wkt_string: سلسلة WKT المُدخلة التي تُمثّل هندسة من نوع Point.

​

القيمة المُعادة

تُرجِع الدالة تمثيلاً داخليًا في ClickHouse للكائن الهندسي Point.

​

مثال

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

(1.2,3.4)

​

readWKTLineString

يحلّل تمثيل Well-Known Text ‏(WKT) لهندسة LineString ويعيده بالتنسيق الداخلي في ClickHouse.

​

الصيغة

readWKTLineString(wkt_string)

​

الوسائط

• wkt_string: سلسلة WKT المُدخلة التي تمثل هندسة من نوع LineString.

​

القيمة المُعادة

تعيد الدالة تمثيلًا داخليًا لهندسة linestring في ClickHouse.

​

مثال

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

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

​

readWKTMultiLineString

يحلّل تمثيل Well-Known Text ‏(WKT) لهندسة MultiLineString ويُعيده بالتنسيق الداخلي في ClickHouse.

​

الصيغة

readWKTMultiLineString(wkt_string)

​

الوسيط

• wkt_string: سلسلة WKT المُدخلة التي تمثل كائنًا هندسيًا من نوع MultiLineString.

​

القيمة المُعادة

تُرجِع الدالة التمثيل الداخلي في ClickHouse لهندسة MultiLineString.

​

مثال

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

يُحلّل تمثيلًا بصيغة Well-Known Text ‏(WKT) لهندسة Polygon ويُرجع حلقةً (سلسلة خطوط مغلقة) بالتنسيق الداخلي في ClickHouse.

​

الصيغة

readWKTRing(wkt_string)

​

الوسائط

• wkt_string: سلسلة WKT المُدخلة التي تُمثّل شكلًا هندسيًا من نوع Polygon.

​

القيمة المُعادة

تُرجِع الدالة تمثيل ClickHouse الداخلي لهندسة الحلقة (خطٍّ متصل مغلق).

​

مثال

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

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

​

polygonsWithinSpherical

تُرجِع true أو false بحسب ما إذا كان أحد المضلعات يقع بالكامل داخل مضلع آخر أم لا. المرجع https://www.boost.org/doc/libs/1_62_0/libs/geometry/doc/html/geometry/reference/algorithms/within/within_2.html

​

مثال

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

يحوّل قيمة WKB ‏(Well Known Binary) التي تمثل MultiPolygon إلى نوع MultiPolygon.

​

مثال

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

النوع	المخرجات
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)]]]

​

معلمات الإدخال

سلسلة تبدأ بـ MULTIPOLYGON

​

القيمة المُعادة

MultiPolygon

​

readWKBPolygon

يحوّل WKB ‏(Well Known Binary) من النوع MultiPolygon إلى النوع Polygon.

​

مثال

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

النوع	الناتج
Polygon	[[(2,0),(10,0),(10,10),(0,10),(2,0)]]

​

معلمة الإدخال

قيمة سلسلة تبدأ بـ POLYGON

​

القيمة المُعادة

Polygon

​

readWKBPoint

تُحلّل الدالة readWKBPoint في ClickHouse تمثيل Well-Known Binary ‏(WKB) لهندسة Point، ثم تُرجِع نقطة بالتنسيق الداخلي في ClickHouse.

​

الصيغة

readWKBPoint(wkb_string)

​

الوسيط

• wkb_string: سلسلة WKB المُدخلة التي تمثل هندسة من النوع Point.

​

القيمة المُعادة

تعيد الدالة تمثيل ClickHouse الداخلي للنوع الهندسي Point.

​

مثال

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

(1.2,3.4)

​

readWKBLineString

يحلّل تمثيل Well-Known Binary ‏(WKB) لهندسة LineString ويُعيده بصيغة ClickHouse الداخلية.

​

الصيغة

readWKBLineString(wkb_string)

​

الوسائط

• wkb_string: سلسلة WKB المُدخلة التي تمثل هندسة من نوع LineString.

​

القيمة المُعادة

تُرجِع الدالة التمثيل الداخلي في ClickHouse لهندسة linestring.

​

مثال

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

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

​

readWKBMultiLineString

يحلّل تمثيل Well-Known Binary ‏(WKB) لكائن هندسي من نوع MultiLineString ويُعيده بالتنسيق الداخلي لـ ClickHouse.

​

الصيغة

readWKBMultiLineString(wkb_string)

​

الوسيط

• wkb_string: سلسلة WKB المُدخلة التي تُمثّل هندسةً من نوع MultiLineString.

​

القيمة المُعادة

تُرجِع الدالة تمثيل ClickHouse الداخلي لهندسة multilinestring.

​

مثال

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

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

​

معلمات الإدخال

​

القيمة المُعادة

UInt8، وتكون 0 للقيمة false و1 للقيمة true

​

polygonsDistanceSpherical

تحسب الحد الأدنى للمسافة بين نقطتين، بحيث تنتمي إحدى النقطتين إلى المضلع الأول وتنتمي الثانية إلى مضلع آخر. ويعني “كروي” هنا أن الإحداثيات تُفسَّر على أنها إحداثيات على كرة نقية ومثالية، وهذا لا ينطبق على الأرض. يسرّع استخدام هذا النوع من أنظمة الإحداثيات التنفيذ، لكنه بالطبع غير دقيق.

​

مثال

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

​

معلمات الإدخال

مضلعان

​

القيمة المُعادة

Float64

​

polygonsDistanceCartesian

تحسب المسافة بين مضلعين

​

مثال

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

​

معلمات الإدخال

مضلّعان

​

القيمة المعادة

Float64

​

polygonsEqualsCartesian

يُرجع true إذا كان المضلعان متساويين

​

مثال

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

1

​

معلمات الإدخال

مضلعان

​

القيمة المعادة

UInt8، حيث يشير 0 إلى false و1 إلى true

​

polygonsSymDifferenceSpherical

تحسب الفرق المتماثل (XOR) المكاني وفق نظرية المجموعات بين مضلعين

​

مثال

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)))

​

معلمات الإدخال

المضلعات

​

القيمة المُعادة

MultiPolygon

​

polygonsSymDifferenceCartesian

مماثل لـ polygonsSymDifferenceSpherical، لكن الإحداثيات تكون في النظام الإحداثي الديكارتي؛ وهو أقرب إلى نموذج الأرض الفعلي.

​

مثال

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)))

​

معلمات الإدخال

المضلعات

​

القيمة المُعادة

MultiPolygon

​

polygonsIntersectionSpherical

يحسب التقاطع (AND) بين المضلعات، حيث تكون الإحداثيات كروية.

​

مثال

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)))

​

معلمة الإدخال

المضلعات

​

القيمة المُعادة

MultiPolygon

​

polygonsWithinCartesian

تُرجع true إذا كان المضلع الثاني يقع داخل المضلع الأول.

​

مثال

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

1

​

معلمات الإدخال

مضلعان

​

القيمة المعادة

UInt8، 0 للقيمة false، و1 للقيمة true

​

polygonsIntersectCartesian

تُرجع القيمة true إذا كان المضلعان يتقاطعان (أي يشتركان في أي مساحة أو في أي جزء من الحدود).

​

مثال

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

1

​

معلمات الإدخال

مضلعان

​

القيمة المعادة

UInt8، 0 لـ false، و1 لـ true

​

polygonsIntersectSpherical

تعيد القيمة true إذا كان المضلعان متقاطعين (أي يشتركان في أي مساحة أو جزء من الحدود). المرجع: https://www.boost.org/doc/libs/1_62_0/libs/geometry/doc/html/geometry/reference/algorithms/intersects.html

​

مثال

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

​

معلمات الإدخال

مضلعان

​

القيمة المعادة

UInt8، 0 لـ false، و1 لـ true

​

polygonConvexHullCartesian

يحسب الغلاف المحدب. المرجع

الإحداثيات في نظام الإحداثيات الديكارتي.

​

مثال

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

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

​

معلمات الإدخال

MultiPolygon

​

القيمة المُعادة

Polygon

​

polygonAreaSpherical

تحسب المساحة السطحية لمضلع.

​

مثال

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

​

معلمات الإدخال

Polygon

​

القيمة المُعادة

عدد بفاصلة عائمة

​

polygonsUnionSpherical

يحسب عملية الاتحاد (OR).

​

مثال

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)))

​

معلمات الإدخال

المضلعات

​

القيمة المعادة

MultiPolygon

​

polygonPerimeterSpherical

تحسب محيط المضلع.

​

مثال

​

مضلع يمثّل زيمبابوي

هذا هو المضلع الذي يمثّل زيمبابوي:

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 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​

استخدام الدالة polygonPerimeterSpherical

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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

​

معلمة الإدخال

​

القيمة المُعادة

​

polygonsIntersectionCartesian

تحسب تقاطع المضلعات.

​

مثال

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)))

​

معلمات الإدخال

المضلعات

​

القيمة المعادة

MultiPolygon

​

polygonAreaCartesian

يحسب مساحة مضلع

​

مثال

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

25

​

معلمات الإدخال

Polygon

​

القيمة المُعادة

Float64

​

polygonPerimeterCartesian

يحسب محيط المضلع.

​

مثال

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

15

​

معلمات الإدخال

Polygon

​

القيمة المُعادة

Float64

​

polygonsUnionCartesian

تحسب عملية اتحاد المضلعات.

​

مثال

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)))

​

معلمة الإدخال

المضلعات

​

القيمة المُعادة

MultiPolygon

لمزيد من المعلومات عن أنظمة الهندسة، راجع هذا العرض التقديمي حول مكتبة Boost، وهي المكتبة التي يستخدمها ClickHouse.