45:["$","title",null,{"children":"Using H3 To Index Polygons | Robert's Private Workspace | Observable"}] 4d:T43f,## Location Search & Point-In-Polygon Check This function checks if the selected location is inside the selected area. It does so by converting the location's coordinates to an H3 index, and then searching for it in the array of H3 indexes associated with the area. If the "hybrid" indexing method is selected, a true point-in-polygon check (using the area's polygon data) will be executed if the location is in an edge cell. It returns a response object with the following values: - **inIndex**: true if the location was found in the index (H3 cells) - **inArea**: true if the location was determined to be inside the area + Note that a location may be determined to be inside an area even it falls outside of the actual polygon. + This can happen when indexing methods other than "hybrid" are used, as only "hybrid" conducts an actual point-in-polygon check using the area's geometry (as necessary). - **criterion**: how it was determined that the location is inside the area - **h3Index**: the H3 index of the location - **cellType**: the type of index cell that was matched4e:T4f8,{ const defaultColor = '#1E90FF'; const palette = [ defaultColor, '#FE503B' ]; // clear the map wipeMapLayers(); // render H3 cells, using a different color for each set of cells polygonIndex.result.forEach((c, i) => { let id = `hexes-${i}` renderH3IndexesToMap(map, id, c.cells, { 'fill-color': palette[i] || defaultColor }); mapSourceIds.push(id) }); // render area polygon / GeoJSON renderMapLayer({ map, id: 'selected-area', data: geoJson.value, sourceType: 'geojson', layerType: 'line', paint: { 'line-color': 'blue', 'line-opacity': 0.8 } }); // render the search coordinates if (locationSearchResult !== null) { const popupHTML = `H3 cell: ${locationSearchResult.h3Index}
` + `H3 cell type: ${locationSearchResult.cellType}
` + `In Index?: ${locationSearchResult.inIndex}
` + `In Area?: ${locationSearchResult.inArea}
` + `Criterion: ${locationSearchResult.criterion}`; renderCoordinatesToMap(map, 'search-coordinates', coordinates, { color: locationSearchResult.inArea ? "green" : "red" }, popupHTML); } return md`*{map rendering logic}*`; }4f:T33f5,areaKamigyoWard = 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Workspace","avatar_url":"https://avatars-next.observableusercontent.com/fa094f9662d820fa4ffbce0ed79758971ed6dc1df4a94b9a5ffe2d65c8444d24","tier":"starter_2024","bio":"","following":false},"version":595,"publish_version":null,"role":null,"authored":false,"authors":[{"type":"individual","id":"37819e2b7c2b567e","login":"robert-mitchell","name":"Robert Mitchell","avatar_url":"https://avatars-next.observableusercontent.com/c26c8810c70ef944828be07dd72ff46505b34c2559981eba054b83a31999b9fb","tier":null,"bio":"","following":false}],"members":[{"type":"individual","id":"37819e2b7c2b567e","login":"robert-mitchell","name":"Robert Mitchell","avatar_url":"https://avatars-next.observableusercontent.com/c26c8810c70ef944828be07dd72ff46505b34c2559981eba054b83a31999b9fb","tier":null,"role":"editor"},{"type":"team","id":"04d5891a75f5b507","login":"robert-mitchell","name":"Robert's Private Workspace","avatar_url":"https://avatars-next.observableusercontent.com/fa094f9662d820fa4ffbce0ed79758971ed6dc1df4a94b9a5ffe2d65c8444d24","tier":"starter_2024","role":"viewer"}],"comments":[],"custom_thumbnail":false,"trashed":false,"lapsed":null,"subscribed":null,"forks":1,"collection":null,"type":"notebook","body":{"titling":"auto","title":"Using H3 To Index Polygons","cells":[{"id":428,"value":"# Using H3 To Index Polygons\n\nThis notebook illustrates various methods for indexing polygons with H3.\nIt also demonstrates how the polygon index can be used to determine if a point is contained within an area.\n\nThe H3 cells that make up polygon index are drawn in two colors:\n- Blue: standard cell (or \"contained\" when using the \"hybrid\" method)\n- Red: edge cell (\"hybrid\" method only)\n\nA marker indicating the selected location is also shown on the map.\nWhen selected, a search is conducted to see if it falls inside the selected area.\n- The exact type of search conducted depends upon the indexing method selected; see the \"Location Search\" section below for additional information. \n\nThe color of the marker indicates the result of the check:\n- Green: inside the area\n- Red: outside the area\n\nYou can also click on the marker for additional information regarding the result.","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"","database":"$undefined"},{"id":5,"value":"viewof map = {\n const container = html`

`;\n yield container; // Give the container dimensions.\n \n const map = container.value = new mapboxgl.Map({\n container,\n center: [config.lng, config.lat],\n zoom: config.zoom,\n style: 'mapbox://styles/mapbox/light-v9'\n });\n \n map.on('load', () => {\n container.value = map;\n container.dispatchEvent(new CustomEvent(\"input\"));\n });\n \n invalidation.then(() => map.remove());\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":68,"value":"viewof geoJson = Inputs.select([\n { label: \"Kyoto Gosho\", value: areaKyotoGosho },\n { label: \"Nijo Castle\", value: areaNijoCastle },\n { label: \"Kamigyo Ward\", value: areaKamigyoWard },\n { label: \"Nakagyo Ward\", value: areaNakagyoWard },\n], { label: \"Area\", format: v => v.label }) ","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":269,"value":"viewof location = Inputs.select([\n { label: \"None\", value: null },\n { label: \"Kyoto Imperial Palace\", value: locationKyotoImperialPalace},\n { label: \"Kyoto Imperial Palace (edge)\", value: locationKyotoImperialPalaceEdge },\n { label: \"Kyoto Imperial Palace (outside)\", value: locationKyotoImperialPalaceOutside},\n { label: \"Nijo Castle\", value: locationNijoCastle},\n { label: \"Nijo Castle (edge)\", value: locationNijoCastleEdge },\n { label: \"Nijo Castle (outside)\", value: locationNijoCastleOutside },\n], { label: \"Location\", format: v => v.label });","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":118,"value":"viewof indexingMethod = Inputs.select([\n { label: \"Center Point\", value: \"center_point\" },\n { label: \"Intersection\", value: \"intersection\" },\n { label: \"Containment\", value: \"containment\" },\n { label: \"Hybrid\", value: \"hybrid\" },\n], { label: \"Indexing Method\", format: v => v.label });","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":59,"value":"viewof h3Resolution = slider({\n min: 8, \n max: 11, \n step: 1, \n value: 10, \n title: \"H3 Resolution\"\n})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":135,"value":"## Algorithms\n\nThis section contains polygon indexing algorithms.\n\nEach algorithm returns an array of cell sets, with each cell set containing metadata about the type of cells it contains.","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"","database":"$undefined"},{"id":137,"value":"function algorithmCenterPoint(geometry, h3Resolution) {\n return [{\n type: \"center point\",\n cells: h3.polygonToCells(geometry.coordinates, h3Resolution, true)\n }];\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":163,"value":"function algorithmIntersection(geometry, h3Resolution) {\n const base = h3.polygonToCells(geometry.coordinates, h3Resolution, true);\n const buffered = new Set(base.flatMap(h3Index => h3.gridDisk(h3Index, 2)));\n const cells = Array.from(buffered).filter(h3Index => turf.booleanIntersects(geoJson.value, {\n type: \"Polygon\",\n coordinates: [h3.cellToBoundary(h3Index, true)]\n }));\n\n return [{\n type: \"intersection\",\n cells: cells\n }];\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":139,"value":"function algorithmContainment(geometry, h3Resolution) {\n const base = h3.polygonToCells(geometry.coordinates, h3Resolution, true);\n // Convert geometry from a polygon to a line string (outline).\n // H3 cells that do not intersect this line string are considered contained.\n // \n // Note: using turf.booleanContains with two polygons can lead to unexpected results,\n // as it utilizes a \"point-in-polygon\" based check instead of an \"intersecting lines\" one.\n // Ref: https://github.com/Turfjs/turf/blob/e6d540a4725950f17caeedb89c60ce3793206e63/packages/turf-boolean-contains/index.ts#L215-L242\n const cells = base.filter(h3Index => !turf.booleanIntersects(\n {\n type: \"LineString\",\n coordinates: geometry.coordinates[0]\n },\n {\n type: \"Polygon\",\n coordinates: [h3.cellToBoundary(h3Index, true)]\n }\n ));\n\n return [{\n type: \"containment\",\n cells: cells\n }];\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":206,"value":"function algorithmHybrid(geometry, h3Resolution) {\n const intersection = algorithmIntersection(geometry, h3Resolution)[0].cells,\n containment = algorithmContainment(geometry, h3Resolution)[0].cells;\n\n const edgeCells = intersection.filter((cell) => {\n return !containment.includes(cell);\n });\n\n return [\n {\n type: \"contained\",\n cells: containment\n },\n {\n type: \"edge\",\n cells: edgeCells,\n }\n ];\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":295,"value":"$4d","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"","database":"$undefined"},{"id":299,"value":"function locationSearch(coordinates, res, polygonGeometry, polygonCells) {\n const locationH3 = h3.latLngToCell(coordinates.lat, coordinates.lng, res);\n\n let indexFound = false,\n cellType = \"N/A\",\n criterion = \"cell\",\n pipExecuted = false,\n pipResult = false;\n \n for (let i = 0; i < polygonCells.length; i++ ) {\n indexFound = polygonCells[i].cells.includes(locationH3);\n\n if (indexFound) {\n cellType = polygonCells[i].type;\n break;\n }\n }\n\n // If an \"edge cell\", conduct a point-in-polygon check.\n if (indexFound && cellType === \"edge\") {\n pipExecuted = true;\n pipResult = turf.booleanPointInPolygon(\n turf.point([coordinates.lng, coordinates.lat]),\n polygonGeometry\n );\n }\n\n return {\n inIndex: indexFound,\n inArea: pipExecuted ? pipResult : indexFound,\n criterion: pipExecuted ? \"point-in-polygon\" : \"cell\",\n h3Index: locationH3,\n cellType: cellType\n }\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":100,"value":"## Map Setup","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"","database":"$undefined"},{"id":106,"value":"function timed(fn) {\n const start = performance.now();\n const result = fn();\n return {result, elapsed: performance.now() - start};\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":222,"value":"function wait(fn) {\n const start = performance.now();\n const result = fn();\n return result;\n}","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":83,"value":"centerPoint = turf.center(geoJson.value.geometry).geometry.coordinates;","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":92,"value":"geometry = geoJson.value.geometry;","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":46,"value":"config = ({\n lat: centerPoint[1],\n lng: centerPoint[0],\n zoom: 14,\n});","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":252,"value":"function wipeMapLayers() {\n mapSourceIds.forEach((id) => {\n clearMapLayer(map, id);\n });\n\n clearMapMarkers();\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":242,"value":"mapSourceIds = [];","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":110,"value":"polygonIndex = {\n switch (indexingMethod.value) {\n case \"center_point\":\n return timed(() => algorithmCenterPoint(geometry, h3Resolution));\n case \"intersection\":\n return timed(() => algorithmIntersection(geometry, h3Resolution));\n case \"containment\":\n return timed(() => algorithmContainment(geometry, h3Resolution));\n case \"hybrid\":\n return timed(() => algorithmHybrid(geometry, h3Resolution));\n }\n return timed(() => []);\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":398,"value":"coordinates = location.value;","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":303,"value":"locationSearchResult = coordinates !== null ? locationSearch(coordinates, h3Resolution, geometry, polygonIndex.result) : null;","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":25,"value":"$4e","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":72,"value":"## Data","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"","database":"$undefined"},{"id":75,"value":"areaNijoCastle = ({\n \"type\": \"Feature\",\n \"properties\": {},\n \"geometry\": {\n \"coordinates\": [\n [\n [\n 135.74553037292378,\n 35.01597703247049\n ],\n [\n 135.7453347496526,\n 35.01228058523603\n ],\n [\n 135.751538801918,\n 35.01190292022969\n ],\n [\n 135.75160866737178,\n 35.015713823485996\n ],\n [\n 135.74553037292378,\n 35.01597703247049\n ]\n ]\n ],\n \"type\": \"Polygon\"\n }\n});","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":170,"value":"areaKyotoGosho = ({\n \"type\": \"Feature\",\n \"properties\": {},\n \"geometry\": {\n \"coordinates\": [\n [\n [\n 135.75946466356396,\n 35.02884426498419\n ],\n [\n 135.75943548632574,\n 35.01767824705158\n ],\n [\n 135.75962473033934,\n 35.01751219032319\n ],\n [\n 135.76727559547555,\n 35.01747897893706\n ],\n [\n 135.76752183776898,\n 35.02338292319487\n ],\n [\n 135.76705651897805,\n 35.02339178500553\n ],\n [\n 135.7668921712388,\n 35.029103525133266\n ],\n [\n 135.75967858947627,\n 35.02899841976688\n ],\n [\n 135.75946466356396,\n 35.02884426498419\n ]\n ]\n ],\n \"type\": \"Polygon\"\n }\n});","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":449,"value":"$4f","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":459,"value":"$50","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":271,"value":"locationKyotoImperialPalace = ({\n lng: 135.76214859165898,\n lat: 35.02438715970379\n});","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":328,"value":"locationKyotoImperialPalaceEdge = ({\n lng: 135.7670044759447,\n lat: 35.01764912983795\n});","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":390,"value":"locationKyotoImperialPalaceOutside = ({\n lng: 135.76060967068645,\n lat: 35.01716338338194\n});","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":375,"value":"locationNijoCastle = ({\n lng: 135.74750200627955,\n lat: 35.01415122519791\n});","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":377,"value":"locationNijoCastleEdge = ({\n lng: 135.74543261426817,\n lat: 35.01237684066675\n});","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":557,"value":"locationNijoCastleOutside = ({\n lng: 135.74607065452722,\n lat: 35.01693507063425\n});","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":6,"value":"md`## Dependencies`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":10,"value":"h3 = require('h3-js@4.1.0')","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":16,"value":"import {mapboxApiToken} from '@robert-mitchell/mapbox-token'","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":28,"value":"import {renderH3IndexesToMap, renderCoordinatesToMap, renderMapLayer, clearMapLayer, clearMapMarkers} from '@robert-mitchell/mapbox-utils'","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":13,"value":"mapboxgl = {\n let mapboxgl = await require('mapbox-gl');\n mapboxgl.accessToken = mapboxApiToken;\n return mapboxgl;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":56,"value":"import {slider} from \"@jashkenas/inputs\"","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":144,"value":"turf = require(\"@turf/turf@7.2\")","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":18,"value":"// CSS import required for the Mapbox map\nhtml``","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":517,"value":"## Resources\n\n- Nick Rabinowitz's Observable notebooks:\n + https://observablehq.com/@nrabinowitz/h3-polyfill-modes\n + https://observablehq.com/@nrabinowitz/indexing-polygons-with-h3\n + https://observablehq.com/@nrabinowitz/h3-index-notebook-template\n + Thank you for providing such invaluable materials! They were crucial in helping me understand not just the mechanics of H3, but how to use Observable as well.\n- Kyoto city ward data sourced from ROIS-DS Center for Open Data in the Humanities' Geoshape repository:\n + https://geoshape.ex.nii.ac.jp/\n + Licensed under [CC BY 4.0](https://creativecommons.org/licenses/by/4.0/).\n + データの提供ありがとうございましたmm","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"","database":"$undefined"}],"files":"$W51","stdlib":"1"}} 44:null