export interface TileRange { xstart: number ystart: number xend: number yend: number total: number zoomlevel: number } export class Tiles { public static MapRange(tileRange: TileRange, f: (x: number, y: number) => T): T[] { const result: T[] = [] const total = tileRange.total if (total > 100000) { throw `Tilerange too big (z is ${tileRange.zoomlevel}, total tiles needed: ${tileRange.total})` } for (let x = tileRange.xstart; x <= tileRange.xend; x++) { for (let y = tileRange.ystart; y <= tileRange.yend; y++) { const t = f(x, y) result.push(t) } } return result } /** * Calculates the tile bounds of the * @param z * @param x * @param y * @returns [[maxlat, minlon], [minlat, maxlon]] */ static tile_bounds(z: number, x: number, y: number): [[number, number], [number, number]] { return [ [Tiles.tile2lat(y, z), Tiles.tile2long(x, z)], [Tiles.tile2lat(y + 1, z), Tiles.tile2long(x + 1, z)], ] } static tile_bounds_lon_lat( z: number, x: number, y: number ): [[number, number], [number, number]] { return [ [Tiles.tile2long(x, z), Tiles.tile2lat(y, z)], [Tiles.tile2long(x + 1, z), Tiles.tile2lat(y + 1, z)], ] } /** * Returns the centerpoint [lon, lat] of the specified tile * @param z * @param x * @param y */ static centerPointOf(z: number, x: number, y: number): [number, number] { return [ (Tiles.tile2long(x, z) + Tiles.tile2long(x + 1, z)) / 2, (Tiles.tile2lat(y, z) + Tiles.tile2lat(y + 1, z)) / 2, ] } static tile_index(z: number, x: number, y: number): number { return (x * (2 << z) + y) * 100 + z } /** * Given a tile index number, returns [z, x, y] * @param index * @returns 'zxy' */ static tile_from_index(index: number): [number, number, number] { const z = index % 100 const factor = 2 << z index = Math.floor(index / 100) const x = Math.floor(index / factor) return [z, x, index % factor] } /** * Return x, y of the tile containing (lat, lon) on the given zoom level */ static embedded_tile(lat: number, lon: number, z: number): { x: number; y: number; z: number } { return { x: Tiles.lon2tile(lon, z), y: Tiles.lat2tile(lat, z), z: z } } static TileRangeBetween( zoomlevel: number, lat0: number, lon0: number, lat1: number, lon1: number ): TileRange { const t0 = Tiles.embedded_tile(lat0, lon0, zoomlevel) const t1 = Tiles.embedded_tile(lat1, lon1, zoomlevel) const xstart = Math.min(t0.x, t1.x) const xend = Math.max(t0.x, t1.x) const ystart = Math.min(t0.y, t1.y) const yend = Math.max(t0.y, t1.y) const total = (1 + xend - xstart) * (1 + yend - ystart) return { xstart: xstart, xend: xend, ystart: ystart, yend: yend, total: total, zoomlevel: zoomlevel, } } private static tile2long(x, z) { return (x / Math.pow(2, z)) * 360 - 180 } private static tile2lat(y, z) { const n = Math.PI - (2 * Math.PI * y) / Math.pow(2, z) return (180 / Math.PI) * Math.atan(0.5 * (Math.exp(n) - Math.exp(-n))) } private static lon2tile(lon, zoom) { return Math.floor(((lon + 180) / 360) * Math.pow(2, zoom)) } private static lat2tile(lat, zoom) { return Math.floor( ((1 - Math.log(Math.tan((lat * Math.PI) / 180) + 1 / Math.cos((lat * Math.PI) / 180)) / Math.PI) / 2) * Math.pow(2, zoom) ) } }