// @tags: [ // requires_fastcount, // requires_non_retryable_writes, // ] // // Big Polygon related tests // - Tests the capability for a geo query with a big polygon object (strictCRS) // $geoWithin & $geoIntersects // - Big polygon objects cannot be stored // Try all different shapes queries against various stored geo points, line & polygons (function() { const crs84CRS = { type: "name", properties: {name: "urn:ogc:def:crs:OGC:1.3:CRS84"} }; const epsg4326CRS = { type: "name", properties: {name: "EPSG:4326"} }; const strictCRS = { type: "name", properties: {name: "urn:x-mongodb:crs:strictwinding:EPSG:4326"} }; // invalid CRS name const badCRS = { type: "name", properties: {name: "urn:x-mongodb:crs:invalid:EPSG:4326"} }; // helper to generate a line along a longitudinal function genLonLine(lon, startLat, endLat, latStep) { let line = []; for (let lat = startLat; lat <= endLat; lat += latStep) { line.push([lon, lat]); } return line; } // Main program // Clear out collection const coll = db.geo_bigpoly; coll.drop(); // GeoJson Objects to be inserted into collection // coordinates are longitude, latitude // strictCRS (big polygon) cannot be stored in the collection const objects = [ {name: "boat ramp", geo: {type: "Point", coordinates: [-97.927117, 30.327376]}}, {name: "on equator", geo: {type: "Point", coordinates: [-97.9, 0]}}, {name: "just north of equator", geo: {type: "Point", coordinates: [-97.9, 0.1]}}, {name: "just south of equator", geo: {type: "Point", coordinates: [-97.9, -0.1]}}, { name: "north pole - crs84CRS", geo: {type: "Point", coordinates: [-97.9, 90.0], crs: crs84CRS} }, { name: "south pole - epsg4326CRS", geo: {type: "Point", coordinates: [-97.9, -90.0], crs: epsg4326CRS} }, { name: "short line string: PA, LA, 4corners, ATX, Mansfield, FL, Reston, NYC", geo: { type: "LineString", coordinates: [ [-122.1611953, 37.4420407], [-118.283638, 34.028517], [-109.045223, 36.9990835], [-97.850404, 30.3921555], [-97.904187, 30.395457], [-86.600836, 30.398147], [-77.357837, 38.9589935], [-73.987723, 40.7575074] ] } }, { name: "1024 point long line string from south pole to north pole", geo: {type: "LineString", coordinates: genLonLine(2.349902, -90.0, 90.0, 180.0 / 1024)} }, { name: "line crossing equator - epsg4326CRS", geo: { type: "LineString", coordinates: [[-77.0451853, -12.0553442], [-76.7784557, 18.0098528]], crs: epsg4326CRS } }, { name: "GeoJson polygon", geo: { type: "Polygon", coordinates: [[[-80.0, 30.0], [-40.0, 30.0], [-40.0, 60.0], [-80.0, 60.0], [-80.0, 30.0]]] } }, { name: "polygon w/ hole", geo: { type: "Polygon", coordinates: [ [[-80.0, 30.0], [-40.0, 30.0], [-40.0, 60.0], [-80.0, 60.0], [-80.0, 30.0]], [[-70.0, 40.0], [-60.0, 40.0], [-60.0, 50.0], [-70.0, 50.0], [-70.0, 40.0]] ] } }, { name: "polygon w/ two holes", geo: { type: "Polygon", coordinates: [ [[-80.0, 30.0], [-40.0, 30.0], [-40.0, 60.0], [-80.0, 60.0], [-80.0, 30.0]], [[-70.0, 40.0], [-60.0, 40.0], [-60.0, 50.0], [-70.0, 50.0], [-70.0, 40.0]], [[-55.0, 40.0], [-45.0, 40.0], [-45.0, 50.0], [-55.0, 50.0], [-55.0, 40.0]] ] } }, { name: "polygon covering North pole", geo: { type: "Polygon", coordinates: [[[-120.0, 89.0], [0.0, 89.0], [120.0, 89.0], [-120.0, 89.0]]] } }, { name: "polygon covering South pole", geo: { type: "Polygon", coordinates: [[[-120.0, -89.0], [0.0, -89.0], [120.0, -89.0], [-120.0, -89.0]]] } }, { name: "big polygon/rectangle covering both poles", geo: { type: "Polygon", coordinates: [ [[-130.0, 89.0], [-120.0, 89.0], [-120.0, -89.0], [-130.0, -89.0], [-130.0, 89.0]] ], crs: strictCRS } }, { name: "polygon (triangle) w/ hole at North pole", geo: { type: "Polygon", coordinates: [ [[-120.0, 80.0], [0.0, 80.0], [120.0, 80.0], [-120.0, 80.0]], [[-120.0, 88.0], [0.0, 88.0], [120.0, 88.0], [-120.0, 88.0]] ] } }, { name: "polygon with edge on equator", geo: { type: "Polygon", coordinates: [[[-120.0, 0.0], [120.0, 0.0], [0.0, 90.0], [-120.0, 0.0]]] } }, { name: "polygon just inside single hemisphere (Northern) - China, California, Europe", geo: { type: "Polygon", coordinates: [[[120.0, 0.000001], [-120.0, 0.000001], [0.0, 0.000001], [120.0, 0.000001]]] } }, { name: "polygon inside Northern hemisphere", geo: { type: "Polygon", coordinates: [[[120.0, 80.0], [-120.0, 80.0], [0.0, 80.0], [120.0, 80.0]]] } }, { name: "polygon just inside a single hemisphere (Southern) - Pacific, Indonesia, Africa", geo: { type: "Polygon", coordinates: [[[-120.0, -0.000001], [120.0, -0.000001], [0.0, -0.000001], [-120.0, -0.000001]]] } }, { name: "polygon inside Southern hemisphere", geo: { type: "Polygon", coordinates: [[[-120.0, -80.0], [120.0, -80.0], [0.0, -80.0], [-120.0, -80.0]]] } }, { name: "single point (MultiPoint): Palo Alto", geo: {type: "MultiPoint", coordinates: [[-122.1611953, 37.4420407]]} }, { name: "multiple points(MultiPoint): PA, LA, 4corners, ATX, Mansfield, FL, Reston, NYC", geo: { type: "MultiPoint", coordinates: [ [-122.1611953, 37.4420407], [-118.283638, 34.028517], [-109.045223, 36.9990835], [-97.850404, 30.3921555], [-97.904187, 30.395457], [-86.600836, 30.398147], [-77.357837, 38.9589935], [-73.987723, 40.7575074] ] } }, { name: "two points (MultiPoint): Shenzhen, Guangdong, China", geo: {type: "MultiPoint", coordinates: [[114.0538788, 22.5551603], [114.022837, 22.44395]]} }, { name: "two points (MultiPoint) but only one in: Shenzhen, Guangdong, China", geo: {type: "MultiPoint", coordinates: [[114.0538788, 22.5551603], [113.743858, 23.025815]]} }, { name: "multi line string: new zealand bays", geo: { type: "MultiLineString", coordinates: [ [ [172.803869, -43.592789], [172.659335, -43.620348], [172.684038, -43.636528], [172.820922, -43.605325] ], [ [172.830497, -43.607768], [172.813263, -43.656319], [172.823096, -43.660996], [172.850943, -43.607609] ], [ [172.912056, -43.623148], [172.887696, -43.670897], [172.900469, -43.676178], [172.931735, -43.622839] ] ] } }, { name: "multi polygon: new zealand north and south islands", geo: { type: "MultiPolygon", coordinates: [ [[ [165.773255, -45.902933], [169.398419, -47.261538], [174.672744, -41.767722], [172.288845, -39.897992], [165.773255, -45.902933] ]], [[ [173.166448, -39.778262], [175.342744, -42.677333], [179.913373, -37.224362], [171.475953, -32.688871], [173.166448, -39.778262] ]] ] } }, { name: "geometry collection: point in Australia and triangle around Australia", geo: { type: "GeometryCollection", geometries: [ {name: "center of Australia", type: "Point", coordinates: [133.985885, -27.240790]}, { name: "Triangle around Australia", type: "Polygon", coordinates: [[ [97.423178, -44.735405], [169.845050, -38.432287], [143.824366, 15.966509], [97.423178, -44.735405] ]] } ] } } ]; // Test various polygons which are not queryable const badPolys = [ { name: "Polygon with bad CRS", type: "Polygon", coordinates: [[ [114.0834046, 22.6648202], [113.8293457, 22.3819359], [114.2736054, 22.4047911], [114.0834046, 22.6648202] ]], crs: badCRS }, { name: "Open polygon < 3 sides", type: "Polygon", coordinates: [[[114.0834046, 22.6648202], [113.8293457, 22.3819359]]], crs: strictCRS }, { name: "Open polygon > 3 sides", type: "Polygon", coordinates: [[ [114.0834046, 22.6648202], [113.8293457, 22.3819359], [114.2736054, 22.4047911], [114.1, 22.5] ]], crs: strictCRS }, { name: "duplicate non-adjacent points", type: "Polygon", coordinates: [[ [114.0834046, 22.6648202], [113.8293457, 22.3819359], [114.2736054, 22.4047911], [113.8293457, 22.3819359], [-65.9165954, 22.6648202], [114.0834046, 22.6648202] ]], crs: strictCRS }, { name: "One hole in polygon", type: "Polygon", coordinates: [ [[-80.0, 30.0], [-40.0, 30.0], [-40.0, 60.0], [-80.0, 60.0], [-80.0, 30.0]], [[-70.0, 40.0], [-60.0, 40.0], [-60.0, 50.0], [-70.0, 50.0], [-70.0, 40.0]] ], crs: strictCRS }, { name: "2 holes in polygon", type: "Polygon", coordinates: [ [[-80.0, 30.0], [-40.0, 30.0], [-40.0, 60.0], [-80.0, 60.0], [-80.0, 30.0]], [[-70.0, 40.0], [-60.0, 40.0], [-60.0, 50.0], [-70.0, 50.0], [-70.0, 40.0]], [[-55.0, 40.0], [-45.0, 40.0], [-45.0, 50.0], [-55.0, 50.0], [-55.0, 40.0]] ], crs: strictCRS }, { name: "complex polygon (edges cross)", type: "Polygon", coordinates: [[[10.0, 10.0], [20.0, 10.0], [10.0, 20.0], [20.0, 20.0], [10.0, 10.0]]], crs: strictCRS } ]; // Closed polygons used in query (3, 4, 5, 6-sided) const polys = [ { name: "3 sided closed polygon", type: "Polygon", // triangle coordinates: [[[10.0, 10.0], [20.0, 10.0], [15.0, 17.0], [10.0, 10.0]]], crs: strictCRS, nW: 0, nI: 1 }, { name: "3 sided closed polygon (non-big)", type: "Polygon", // triangle coordinates: [[[10.0, 10.0], [20.0, 10.0], [15.0, 17.0], [10.0, 10.0]]], nW: 0, nI: 1 }, { name: "4 sided closed polygon", type: "Polygon", // rectangle coordinates: [[[10.0, 10.0], [20.0, 10.0], [20.0, 20.0], [10.0, 20.0], [10.0, 10.0]]], crs: strictCRS, nW: 0, nI: 1 }, { name: "4 sided closed polygon (non-big)", type: "Polygon", // rectangle coordinates: [[[10.0, 10.0], [20.0, 10.0], [20.0, 20.0], [10.0, 20.0], [10.0, 10.0]]], nW: 0, nI: 1 }, { name: "5 sided closed polygon", type: "Polygon", // pentagon coordinates: [[[10.0, 10.0], [20.0, 10.0], [25.0, 18.0], [15.0, 25.0], [5.0, 18.0], [10.0, 10.0]]], crs: strictCRS, nW: 0, nI: 1 }, { name: "5 sided closed polygon (non-big)", type: "Polygon", // pentagon coordinates: [[[10.0, 10.0], [20.0, 10.0], [25.0, 18.0], [15.0, 25.0], [5.0, 18.0], [10.0, 10.0]]], nW: 0, nI: 1 }, { name: "6 sided closed polygon", type: "Polygon", // hexagon coordinates: [[ [10.0, 10.0], [15.0, 10.0], [22.0, 15.0], [15.0, 20.0], [10.0, 20.0], [7.0, 15.0], [10.0, 10.0] ]], crs: strictCRS, nW: 0, nI: 1 }, { name: "6 sided closed polygon (non-big)", type: "Polygon", // hexagon coordinates: [[ [10.0, 10.0], [15.0, 10.0], [22.0, 15.0], [15.0, 20.0], [10.0, 20.0], [7.0, 15.0], [10.0, 10.0] ]], nW: 0, nI: 1 } ]; // helper function to create n-sided polygon function nGonGenerator(N, D, clockwise, LON, LAT) { // compute N points on a circle centered at LAT,LON // with diameter = D // and lat*lat + lon*lon = (D/2)*(D/2) // lat range is -10 to +10 // lon = sqrt( (D/2)*(D/2) - lat*lat ) // N = number of edges // N must be even! // edge lengths will be uneven with this quick & dirty approach N = (N % 2 == 1) ? N + 1 : N; let eps = 2 * D / N; let lat = 0; let lon = 0; let pts = []; let i = 0; // produce longitude values in pairs // traverse with left foot outside the circle (clockwise) to define the big polygon for (i = 0, lat = D / 2; i <= N / 2; ++i, lat -= eps) { if (lat < (-D / 2)) { // set fixing lat lat = (-D / 2); } lon = Math.sqrt((D / 2) * (D / 2) - (lat * lat)); newlat = lat + LAT; newlon = lon + LON; conjugateLon = LON - lon; pts[i] = [newlon, newlat]; pts[N - i] = [conjugateLon, newlat]; } // Reverse points if counterclockwise if (!clockwise) { pts = pts.reverse(); } // ensure we connected the dots assert(tojson(pts[0]) == tojson(pts[N])); return pts; } // helper function to return number of valid objects function getNumberOfValidObjects(objects) { let i = 0; objects.forEach(function(o) { // strictCRS cannot be stored if (!o.geo.crs || o.geo.crs != strictCRS) { i++; } }); return i; } let totalObjects = getNumberOfValidObjects(objects); // test various n-sided polygons in query, (n: , d: ) // Try them in both clockwise & counterclockwise order const nsidedPolys = [ // Big Polygon centered on 0, 0 { name: "4 sided polygon centered on 0, 0", type: "Polygon", coordinates: [nGonGenerator(4, 30, true, 0, 0)], crs: strictCRS, nW: totalObjects - 3, nI: totalObjects }, // Non-big polygons have counterclockwise coordinates { name: "4 sided polygon centered on 0, 0 (non-big)", type: "Polygon", coordinates: [nGonGenerator(4, 30, false, 0, 0)], nW: 0, nI: 3 }, { name: "100 sided polygon centered on 0, 0", type: "Polygon", coordinates: [nGonGenerator(100, 20, true, 0, 0)], crs: strictCRS, nW: totalObjects - 3, nI: totalObjects }, { name: "100 sided polygon centered on 0, 0 (non-big)", type: "Polygon", coordinates: [nGonGenerator(100, 20, false, 0, 0)], nW: 0, nI: 3 }, { name: "5000 sided polygon centered on 0, 0 (non-big)", type: "Polygon", coordinates: [nGonGenerator(5000, 89.99, false, 0, 0)], nW: 0, nI: 3 }, { name: "25000 sided polygon centered on 0, 0", type: "Polygon", coordinates: [nGonGenerator(25000, 89.99, true, 0, 0)], crs: strictCRS, nW: totalObjects - 3, nI: totalObjects }, // Big polygon centered on Shenzen { name: "4 sided polygon centered on Shenzen", type: "Polygon", coordinates: [nGonGenerator(4, 5, true, 114.1, 22.55)], crs: strictCRS, nW: totalObjects - 3, nI: totalObjects - 2 }, { name: "4 sided polygon centered on Shenzen (non-big)", type: "Polygon", coordinates: [nGonGenerator(4, 5, false, 114.1, 22.55)], crs: strictCRS, nW: 2, nI: 3 } ]; // Populate with 2dsphere index assert.commandWorked(coll.createIndex({geo: "2dsphere"}), "create 2dsphere index"); // Insert objects into collection objects.forEach(function(o) { // strictCRS objects cannot be stored if (o.geo.crs && o.geo.crs == strictCRS) { assert.writeError(coll.insert(o), "insert " + o.name); } else { assert.commandWorked(coll.insert(o), "insert " + o.name); } }); // Try creating other index types assert.commandWorked(coll.createIndex({geo: "2dsphere", a: 1}), "compound index, geo"); // These other index types will fail because of the GeoJSON documents assert.commandFailed(coll.createIndex({geo: "2dsphere", a: "text"}), "compound index, geo & text"); assert.commandFailed(coll.createIndex({geo: "2d"}), "2d index"); totalObjects = coll.count(); // Test with none & 2dsphere index const indexes = ["none", "2dsphere"]; indexes.forEach(function(index) { // Reset indexes on collection assert.commandWorked(coll.dropIndexes(), "drop indexes"); if (index != "none") { // Create index assert.commandWorked(coll.createIndex({geo: index}), "create " + index + " index"); } // These polygons should not be queryable badPolys.forEach(function(p) { // within assert.throws(function() { coll.count({geo: {$geoWithin: {$geometry: p}}}); }, [], "within " + p.name); // intersection assert.throws(function() { coll.count({geo: {$geoIntersects: {$geometry: p}}}); }, [], "intersects " + p.name); }); // Tests for closed polygons polys.forEach(function(p) { // geoWithin query let docArray = []; let q = {geo: {$geoWithin: {$geometry: p}}}; // Test query in aggregate docArray = coll.aggregate({$match: q}).toArray(); assert.eq(p.nW, docArray.length, "aggregate within " + p.name); docArray = coll.find(q).toArray(); assert.eq(p.nW, docArray.length, "within " + p.name); // geoIntersects query q = {geo: {$geoIntersects: {$geometry: p}}}; // Test query in aggregate docArray = coll.aggregate({$match: q}).toArray(); assert.eq(p.nI, docArray.length, "aggregate intersects " + p.name); docArray = coll.find(q).toArray(); assert.eq(p.nI, docArray.length, p.name + " intersects"); // Update on matching docs let result = coll.update(q, {$set: {stored: ObjectId()}}, {multi: true}); // only check nModified if write commands are enabled if (coll.getMongo().writeMode() == "commands") { assert.eq(p.nI, result.nModified, "update " + p.name); } // Remove & restore matching docs assert.eq(p.nI, coll.remove(q).nRemoved, "remove " + p.name); let bulk = coll.initializeUnorderedBulkOp(); docArray.forEach(function(doc) { bulk.insert(doc); }); assert.eq(docArray.length, bulk.execute().nInserted, "reinsert " + p.name); }); // test the n-sided closed polygons nsidedPolys.forEach(function(p) { // within assert.eq(p.nW, coll.count({geo: {$geoWithin: {$geometry: p}}}), "within " + p.name); // intersects assert.eq( p.nI, coll.count({geo: {$geoIntersects: {$geometry: p}}}), "intersection " + p.name); }); }); })();