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- var SphericalMercator = (function(){
- // Closures including constants and other precalculated values.
- var cache = {},
- EPSLN = 1.0e-10,
- D2R = Math.PI / 180,
- R2D = 180 / Math.PI,
- // 900913 properties.
- A = 6378137.0,
- MAXEXTENT = 20037508.342789244;
- // SphericalMercator constructor: precaches calculations
- // for fast tile lookups.
- function SphericalMercator(options) {
- options = options || {};
- this.size = options.size || 256;
- if (!cache[this.size]) {
- var size = this.size;
- var c = cache[this.size] = {};
- c.Bc = [];
- c.Cc = [];
- c.zc = [];
- c.Ac = [];
- for (var d = 0; d < 30; d++) {
- c.Bc.push(size / 360);
- c.Cc.push(size / (2 * Math.PI));
- c.zc.push(size / 2);
- c.Ac.push(size);
- size *= 2;
- }
- }
- this.Bc = cache[this.size].Bc;
- this.Cc = cache[this.size].Cc;
- this.zc = cache[this.size].zc;
- this.Ac = cache[this.size].Ac;
- };
- // Convert lon lat to screen pixel value
- //
- // - `ll` {Array} `[lon, lat]` array of geographic coordinates.
- // - `zoom` {Number} zoom level.
- SphericalMercator.prototype.px = function(ll, zoom) {
- var d = this.zc[zoom];
- var f = Math.min(Math.max(Math.sin(D2R * ll[1]), -0.9999), 0.9999);
- var x = Math.round(d + ll[0] * this.Bc[zoom]);
- var y = Math.round(d + 0.5 * Math.log((1 + f) / (1 - f)) * (-this.Cc[zoom]));
- (x > this.Ac[zoom]) && (x = this.Ac[zoom]);
- (y > this.Ac[zoom]) && (y = this.Ac[zoom]);
- //(x < 0) && (x = 0);
- //(y < 0) && (y = 0);
- return [x, y];
- };
- // Convert screen pixel value to lon lat
- //
- // - `px` {Array} `[x, y]` array of geographic coordinates.
- // - `zoom` {Number} zoom level.
- SphericalMercator.prototype.ll = function(px, zoom) {
- var g = (px[1] - this.zc[zoom]) / (-this.Cc[zoom]);
- var lon = (px[0] - this.zc[zoom]) / this.Bc[zoom];
- var lat = R2D * (2 * Math.atan(Math.exp(g)) - 0.5 * Math.PI);
- return [lon, lat];
- };
- // Convert tile xyz value to bbox of the form `[w, s, e, n]`
- //
- // - `x` {Number} x (longitude) number.
- // - `y` {Number} y (latitude) number.
- // - `zoom` {Number} zoom.
- // - `tms_style` {Boolean} whether to compute using tms-style.
- // - `srs` {String} projection for resulting bbox (WGS84|900913).
- // - `return` {Array} bbox array of values in form `[w, s, e, n]`.
- SphericalMercator.prototype.bbox = function(x, y, zoom, tms_style, srs) {
- // Convert xyz into bbox with srs WGS84
- if (tms_style) {
- y = (Math.pow(2, zoom) - 1) - y;
- }
- // Use +y to make sure it's a number to avoid inadvertent concatenation.
- var ll = [x * this.size, (+y + 1) * this.size]; // lower left
- // Use +x to make sure it's a number to avoid inadvertent concatenation.
- var ur = [(+x + 1) * this.size, y * this.size]; // upper right
- var bbox = this.ll(ll, zoom).concat(this.ll(ur, zoom));
- // If web mercator requested reproject to 900913.
- if (srs === '900913') {
- return this.convert(bbox, '900913');
- } else {
- return bbox;
- }
- };
- // Convert bbox to xyx bounds
- //
- // - `bbox` {Number} bbox in the form `[w, s, e, n]`.
- // - `zoom` {Number} zoom.
- // - `tms_style` {Boolean} whether to compute using tms-style.
- // - `srs` {String} projection of input bbox (WGS84|900913).
- // - `@return` {Object} XYZ bounds containing minX, maxX, minY, maxY properties.
- SphericalMercator.prototype.xyz = function(bbox, zoom, tms_style, srs) {
- // If web mercator provided reproject to WGS84.
- if (srs === '900913') {
- bbox = this.convert(bbox, 'WGS84');
- }
- var ll = [bbox[0], bbox[1]]; // lower left
- var ur = [bbox[2], bbox[3]]; // upper right
- var px_ll = this.px(ll, zoom);
- var px_ur = this.px(ur, zoom);
- // Y = 0 for XYZ is the top hence minY uses px_ur[1].
- var x = [ Math.floor(px_ll[0] / this.size), Math.floor((px_ur[0] - 1) / this.size) ];
- var y = [ Math.floor(px_ur[1] / this.size), Math.floor((px_ll[1] - 1) / this.size) ];
- var bounds = {
- minX: Math.min.apply(Math, x) < 0 ? 0 : Math.min.apply(Math, x),
- minY: Math.min.apply(Math, y) < 0 ? 0 : Math.min.apply(Math, y),
- maxX: Math.max.apply(Math, x),
- maxY: Math.max.apply(Math, y)
- };
- if (tms_style) {
- var tms = {
- minY: (Math.pow(2, zoom) - 1) - bounds.maxY,
- maxY: (Math.pow(2, zoom) - 1) - bounds.minY
- };
- bounds.minY = tms.minY;
- bounds.maxY = tms.maxY;
- }
- return bounds;
- };
- // Convert projection of given bbox.
- //
- // - `bbox` {Number} bbox in the form `[w, s, e, n]`.
- // - `to` {String} projection of output bbox (WGS84|900913). Input bbox
- // assumed to be the "other" projection.
- // - `@return` {Object} bbox with reprojected coordinates.
- SphericalMercator.prototype.convert = function(bbox, to) {
- if (to === '900913') {
- return this.forward(bbox.slice(0, 2)).concat(this.forward(bbox.slice(2,4)));
- } else {
- return this.inverse(bbox.slice(0, 2)).concat(this.inverse(bbox.slice(2,4)));
- }
- };
- // Convert lon/lat values to 900913 x/y.
- SphericalMercator.prototype.forward = function(ll) {
- var xy = [
- A * ll[0] * D2R,
- A * Math.log(Math.tan((Math.PI*0.25) + (0.5 * ll[1] * D2R)))
- ];
- // if xy value is beyond maxextent (e.g. poles), return maxextent.
- (xy[0] > MAXEXTENT) && (xy[0] = MAXEXTENT);
- (xy[0] < -MAXEXTENT) && (xy[0] = -MAXEXTENT);
- (xy[1] > MAXEXTENT) && (xy[1] = MAXEXTENT);
- (xy[1] < -MAXEXTENT) && (xy[1] = -MAXEXTENT);
- return xy;
- };
- // Convert 900913 x/y values to lon/lat.
- SphericalMercator.prototype.inverse = function(xy) {
- return [
- (xy[0] * R2D / A),
- ((Math.PI*0.5) - 2.0 * Math.atan(Math.exp(-xy[1] / A))) * R2D
- ];
- };
- return SphericalMercator;
- })();
- if (typeof module !== 'undefined' && typeof exports !== 'undefined') {
- module.exports = exports = SphericalMercator;
- }
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