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That is, to have consistent x and y dimensions and be at least 2x2 in size.\n * @param {Array} breaks values of `zProperty` where to draw isolines\n * @param {Object} [options={}] Optional parameters\n * @param {string} [options.zProperty='elevation'] the property name in `points` from which z-values will be pulled\n * @param {Object} [options.commonProperties={}] GeoJSON properties passed to ALL isolines\n * @param {Array} [options.breaksProperties=[]] GeoJSON properties passed, in order, to the correspondent isoline;\n * the breaks array will define the order in which the isolines are created\n * @returns {FeatureCollection} a FeatureCollection of {@link MultiLineString} features representing isolines\n * @example\n * // create a grid of points with random z-values in their properties\n * var extent = [0, 30, 20, 50];\n * var cellWidth = 100;\n * var pointGrid = turf.pointGrid(extent, cellWidth, {units: 'miles'});\n *\n * for (var i = 0; i < pointGrid.features.length; i++) {\n * pointGrid.features[i].properties.temperature = Math.random() * 10;\n * }\n * var breaks = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10];\n *\n * var lines = turf.isolines(pointGrid, breaks, {zProperty: 'temperature'});\n *\n * //addToMap\n * var addToMap = [lines];\n */\nfunction isolines(\n pointGrid: FeatureCollection,\n breaks: number[],\n options?: {\n zProperty?: string;\n commonProperties?: GeoJsonProperties;\n breaksProperties?: GeoJsonProperties[];\n }\n) {\n // Optional parameters\n options = options || {};\n if (!isObject(options)) throw new Error(\"options is invalid\");\n const zProperty = options.zProperty || \"elevation\";\n const commonProperties = options.commonProperties || {};\n const breaksProperties = options.breaksProperties || [];\n\n // Input validation\n collectionOf(pointGrid, \"Point\", \"Input must contain Points\");\n if (!breaks) throw new Error(\"breaks is required\");\n if (!Array.isArray(breaks)) throw new Error(\"breaks must be an Array\");\n if (!isObject(commonProperties))\n throw new Error(\"commonProperties must be an Object\");\n if (!Array.isArray(breaksProperties))\n throw new Error(\"breaksProperties must be an Array\");\n\n // Isoline methods\n const matrix = gridToMatrix(pointGrid, { zProperty: zProperty, flip: true });\n\n // A quick note on what 'top' and 'bottom' mean in coordinate system of `matrix`:\n // Remember that the southern hemisphere is represented by negative numbers,\n // so a matrix Y of 0 is actually the *bottom*, and a Y of dy - 1 is the *top*.\n\n // check that the resulting matrix has consistent x and y dimensions and\n // has at least a 2x2 size so that we can actually build grid squares\n const dx = matrix[0].length;\n if (matrix.length < 2 || dx < 2) {\n throw new Error(\"Matrix of points must be at least 2x2\");\n }\n for (let i = 1; i < matrix.length; i++) {\n if (matrix[i].length !== dx) {\n throw new Error(\"Matrix of points is not uniform in the x dimension\");\n }\n }\n\n const createdIsoLines = createIsoLines(\n matrix,\n breaks,\n zProperty,\n commonProperties,\n breaksProperties\n );\n const scaledIsolines = rescaleIsolines(createdIsoLines, matrix, pointGrid);\n\n return featureCollection(scaledIsolines);\n}\n\n/**\n * Creates the isolines lines (featuresCollection of MultiLineString features) from the 2D data grid\n *\n * Marchingsquares process the grid data as a 3D representation of a function on a 2D plane, therefore it\n * assumes the points (x-y coordinates) are one 'unit' distance. The result of the isolines function needs to be\n * rescaled, with turfjs, to the original area and proportions on the map\n *\n * @private\n * @param {Array>} matrix Grid Data\n * @param {Array} breaks BreakProps\n * @param {string} zProperty name of the z-values property\n * @param {Object} [commonProperties={}] GeoJSON properties passed to ALL isolines\n * @param {Object} [breaksProperties=[]] GeoJSON properties passed to the correspondent isoline\n * @returns {Array} isolines\n */\nfunction createIsoLines(\n matrix: number[][],\n breaks: number[],\n zProperty: string,\n commonProperties: GeoJsonProperties,\n breaksProperties: GeoJsonProperties[]\n): Feature[] {\n const results = [];\n for (let i = 0; i < breaks.length; i++) {\n const threshold = +breaks[i]; // make sure it's a number\n\n const properties = { ...commonProperties, ...breaksProperties[i] };\n properties[zProperty] = threshold;\n const isoline = multiLineString(isoContours(matrix, threshold), properties);\n\n results.push(isoline);\n }\n return results;\n}\n\nfunction isoContours(\n matrix: ReadonlyArray>,\n threshold: number\n): Position[][] {\n // see https://en.wikipedia.org/wiki/Marching_squares\n const segments: [Position, Position][] = [];\n\n const dy = matrix.length;\n const dx = matrix[0].length;\n\n for (let y = 0; y < dy - 1; y++) {\n for (let x = 0; x < dx - 1; x++) {\n const tr = matrix[y + 1][x + 1];\n const br = matrix[y][x + 1];\n const bl = matrix[y][x];\n const tl = matrix[y + 1][x];\n\n let grid =\n (tl >= threshold ? 8 : 0) |\n (tr >= threshold ? 4 : 0) |\n (br >= threshold ? 2 : 0) |\n (bl >= threshold ? 1 : 0);\n\n switch (grid) {\n case 0:\n continue;\n case 1:\n segments.push([\n [x + frac(bl, br), y],\n [x, y + frac(bl, tl)],\n ]);\n break;\n case 2:\n segments.push([\n [x + 1, y + frac(br, tr)],\n [x + frac(bl, br), y],\n ]);\n break;\n case 3:\n segments.push([\n [x + 1, y + frac(br, tr)],\n [x, y + frac(bl, tl)],\n ]);\n break;\n case 4:\n segments.push([\n [x + frac(tl, tr), y + 1],\n [x + 1, y + frac(br, tr)],\n ]);\n break;\n case 5: {\n // use the average of the 4 corners to differentiate the saddle case and correctly honor the counter-clockwise winding\n const avg = (tl + tr + br + bl) / 4;\n const above = avg >= threshold;\n\n if (above) {\n segments.push(\n [\n [x + frac(tl, tr), y + 1],\n [x, y + frac(bl, tl)],\n ],\n [\n [x + frac(bl, br), y],\n [x + 1, y + frac(br, tr)],\n ]\n );\n } else {\n segments.push(\n [\n [x + frac(tl, tr), y + 1],\n [x + 1, y + frac(br, tr)],\n ],\n [\n [x + frac(bl, br), y],\n [x, y + frac(bl, tl)],\n ]\n );\n }\n break;\n }\n case 6:\n segments.push([\n [x + frac(tl, tr), y + 1],\n [x + frac(bl, br), y],\n ]);\n break;\n case 7:\n segments.push([\n [x + frac(tl, tr), y + 1],\n [x, y + frac(bl, tl)],\n ]);\n break;\n case 8:\n segments.push([\n [x, y + frac(bl, tl)],\n [x + frac(tl, tr), y + 1],\n ]);\n break;\n case 9:\n segments.push([\n [x + frac(bl, br), y],\n [x + frac(tl, tr), y + 1],\n ]);\n break;\n case 10: {\n const avg = (tl + tr + br + bl) / 4;\n const above = avg >= threshold;\n\n if (above) {\n segments.push(\n [\n [x, y + frac(bl, tl)],\n [x + frac(bl, br), y],\n ],\n [\n [x + 1, y + frac(br, tr)],\n [x + frac(tl, tr), y + 1],\n ]\n );\n } else {\n segments.push(\n [\n [x, y + frac(bl, tl)],\n [x + frac(tl, tr), y + 1],\n ],\n [\n [x + 1, y + frac(br, tr)],\n [x + frac(bl, br), y],\n ]\n );\n }\n break;\n }\n case 11:\n segments.push([\n [x + 1, y + frac(br, tr)],\n [x + frac(tl, tr), y + 1],\n ]);\n break;\n case 12:\n segments.push([\n [x, y + frac(bl, tl)],\n [x + 1, y + frac(br, tr)],\n ]);\n break;\n case 13:\n segments.push([\n [x + frac(bl, br), y],\n [x + 1, y + frac(br, tr)],\n ]);\n break;\n case 14:\n segments.push([\n [x, y + frac(bl, tl)],\n [x + frac(bl, br), y],\n ]);\n break;\n case 15:\n // all above\n continue;\n }\n }\n }\n\n const contours: Position[][] = [];\n\n while (segments.length > 0) {\n const contour: Position[] = [...segments.shift()!];\n contours.push(contour);\n\n let found: boolean;\n do {\n found = false;\n for (let i = 0; i < segments.length; i++) {\n const segment = segments[i];\n // add the segment's end point to the end of the contour\n if (\n segment[0][0] === contour[contour.length - 1][0] &&\n segment[0][1] === contour[contour.length - 1][1]\n ) {\n found = true;\n contour.push(segment[1]);\n segments.splice(i, 1);\n break;\n }\n // add the segment's start point to the start of the contour\n if (\n segment[1][0] === contour[0][0] &&\n segment[1][1] === contour[0][1]\n ) {\n found = true;\n contour.unshift(segment[0]);\n segments.splice(i, 1);\n break;\n }\n }\n } while (found);\n }\n\n return contours;\n\n // get the linear interpolation fraction of how far z is between z0 and z1\n // See https://github.com/fschutt/marching-squares/blob/master/src/lib.rs\n function frac(z0: number, z1: number): number {\n if (z0 === z1) {\n return 0.5;\n }\n\n let t = (threshold - z0) / (z1 - z0);\n return t > 1 ? 1 : t < 0 ? 0 : t;\n }\n}\n\n/**\n * Translates and scales isolines\n *\n * @private\n * @param {Array} createdIsoLines to be rescaled\n * @param {Array>} matrix Grid Data\n * @param {Object} points Points by Latitude\n * @returns {Array} isolines\n */\nfunction rescaleIsolines(\n createdIsoLines: Feature[],\n matrix: number[][],\n points: FeatureCollection\n) {\n // get dimensions (on the map) of the original grid\n const gridBbox = bbox(points); // [ minX, minY, maxX, maxY ]\n const originalWidth = gridBbox[2] - gridBbox[0];\n const originalHeigth = gridBbox[3] - gridBbox[1];\n\n // get origin, which is the first point of the last row on the rectangular data on the map\n const x0 = gridBbox[0];\n const y0 = gridBbox[1];\n\n // get number of cells per side\n const matrixWidth = matrix[0].length - 1;\n const matrixHeight = matrix.length - 1;\n\n // calculate the scaling factor between matrix and rectangular grid on the map\n const scaleX = originalWidth / matrixWidth;\n const scaleY = originalHeigth / matrixHeight;\n\n const resize = (point: number[]) => {\n point[0] = point[0] * scaleX + x0;\n point[1] = point[1] * scaleY + y0;\n };\n\n // resize and shift each point/line of the createdIsoLines\n createdIsoLines.forEach((isoline) => {\n coordEach(isoline, resize);\n });\n return createdIsoLines;\n}\n\nexport { isolines };\nexport default isolines;\n","import { getCoords, collectionOf } from \"@turf/invariant\";\nimport { featureEach } from \"@turf/meta\";\nimport { isObject } from \"@turf/helpers\";\nimport { Feature, FeatureCollection, Point } from \"geojson\";\n\n/**\n * Takes a {@link Point} grid and returns a correspondent matrix {Array>}\n * of the 'property' values\n *\n * @name gridToMatrix\n * @param {FeatureCollection} grid of points\n * @param {Object} [options={}] Optional parameters\n * @param {string} [options.zProperty='elevation'] the property name in `points` from which z-values will be pulled\n * @param {boolean} [options.flip=false] returns the matrix upside-down\n * @param {boolean} [options.flags=false] flags, adding a `matrixPosition` array field ([row, column]) to its properties,\n * the grid points with coordinates on the matrix\n * @returns {Array>} matrix of property values\n * @example\n * var extent = [-70.823364, -33.553984, -70.473175, -33.302986];\n * var cellSize = 3;\n * var grid = turf.pointGrid(extent, cellSize);\n * // add a random property to each point between 0 and 60\n * for (var i = 0; i < grid.features.length; i++) {\n * grid.features[i].properties.elevation = (Math.random() * 60);\n * }\n * gridToMatrix(grid);\n * //= [\n * [ 1, 13, 10, 9, 10, 13, 18],\n * [34, 8, 5, 4, 5, 8, 13],\n * [10, 5, 2, 1, 2, 5, 4],\n * [ 0, 4, 56, 19, 1, 4, 9],\n * [10, 5, 2, 1, 2, 5, 10],\n * [57, 8, 5, 4, 5, 0, 57],\n * [ 3, 13, 10, 9, 5, 13, 18],\n * [18, 13, 10, 9, 78, 13, 18]\n * ]\n */\nexport function gridToMatrix(\n grid: FeatureCollection,\n options: { zProperty?: string; flip?: boolean; flags?: boolean } = {}\n): any {\n // Optional parameters\n if (!isObject(options)) throw new Error(\"options is invalid\");\n const { zProperty = \"elevation\", flip = false, flags = false } = options;\n\n // validation\n collectionOf(grid, \"Point\", \"input must contain Points\");\n\n var pointsMatrix = sortPointsByLatLng(grid, flip);\n\n var matrix = [];\n // create property matrix from sorted points\n // looping order matters here\n for (var r = 0; r < pointsMatrix.length; r++) {\n var pointRow = pointsMatrix[r];\n var row = [];\n for (var c = 0; c < pointRow.length; c++) {\n var point = pointRow[c];\n if (point.properties == null) {\n point.properties = {};\n }\n // Check if zProperty exist\n if (point.properties[zProperty]) row.push(point.properties[zProperty]);\n else row.push(0);\n // add flags\n if (flags === true) point.properties.matrixPosition = [r, c];\n }\n matrix.push(row);\n }\n\n return matrix;\n}\n\n/**\n * Sorts points by latitude and longitude, creating a 2-dimensional array of points\n *\n * @private\n * @param {FeatureCollection} points GeoJSON Point features\n * @param {boolean} [flip=false] returns the matrix upside-down\n * @returns {Array>} points ordered by latitude and longitude\n */\nfunction sortPointsByLatLng(points: FeatureCollection, flip: boolean) {\n var pointsByLatitude: Record[]> = {};\n\n // divide points by rows with the same latitude\n featureEach(points, (point) => {\n var lat = getCoords(point)[1] as number;\n if (!pointsByLatitude[lat]) pointsByLatitude[lat] = [];\n pointsByLatitude[lat].push(point);\n });\n\n // sort points (with the same latitude) by longitude\n const pointMatrix: Feature[][] = [];\n for (const row of Object.values(pointsByLatitude)) {\n pointMatrix.push(row.sort((a, b) => getCoords(a)[0] - getCoords(b)[0]));\n }\n\n // sort rows (of points with the same latitude) by latitude\n pointMatrix.sort(\n flip\n ? (a, b) => getCoords(a[0])[1] - getCoords(b[0])[1]\n : (a, b) => getCoords(b[0])[1] - getCoords(a[0])[1]\n );\n\n return pointMatrix;\n}\n"]}