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))); } }