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@sauskylark/potree

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WebGL point cloud viewer

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(function (global, factory) { typeof exports === 'object' && typeof module !== 'undefined' ? module.exports = factory(require('wkt-parser')) : typeof define === 'function' && define.amd ? define(['wkt-parser'], factory) : (global.proj4 = factory(global.wkt)); }(this, (function (wkt) { 'use strict'; wkt = wkt && wkt.hasOwnProperty('default') ? wkt['default'] : wkt; var globals = function(defs) { defs('EPSG:4326', "+title=WGS 84 (long/lat) +proj=longlat +ellps=WGS84 +datum=WGS84 +units=degrees"); defs('EPSG:4269', "+title=NAD83 (long/lat) +proj=longlat +a=6378137.0 +b=6356752.31414036 +ellps=GRS80 +datum=NAD83 +units=degrees"); defs('EPSG:3857', "+title=WGS 84 / Pseudo-Mercator +proj=merc +a=6378137 +b=6378137 +lat_ts=0.0 +lon_0=0.0 +x_0=0.0 +y_0=0 +k=1.0 +units=m +nadgrids=@null +no_defs"); defs.WGS84 = defs['EPSG:4326']; defs['EPSG:3785'] = defs['EPSG:3857']; // maintain backward compat, official code is 3857 defs.GOOGLE = defs['EPSG:3857']; defs['EPSG:900913'] = defs['EPSG:3857']; defs['EPSG:102113'] = defs['EPSG:3857']; }; var PJD_3PARAM = 1; var PJD_7PARAM = 2; var PJD_WGS84 = 4; // WGS84 or equivalent var PJD_NODATUM = 5; // WGS84 or equivalent var SEC_TO_RAD = 4.84813681109535993589914102357e-6; var HALF_PI = Math.PI/2; // ellipoid pj_set_ell.c var SIXTH = 0.1666666666666666667; /* 1/6 */ var RA4 = 0.04722222222222222222; /* 17/360 */ var RA6 = 0.02215608465608465608; var EPSLN = 1.0e-10; // you'd think you could use Number.EPSILON above but that makes // Mollweide get into an infinate loop. var D2R = 0.01745329251994329577; var R2D = 57.29577951308232088; var FORTPI = Math.PI/4; var TWO_PI = Math.PI * 2; // SPI is slightly greater than Math.PI, so values that exceed the -180..180 // degree range by a tiny amount don't get wrapped. This prevents points that // have drifted from their original location along the 180th meridian (due to // floating point error) from changing their sign. var SPI = 3.14159265359; var exports$1 = {}; exports$1.greenwich = 0.0; //"0dE", exports$1.lisbon = -9.131906111111; //"9d07'54.862\"W", exports$1.paris = 2.337229166667; //"2d20'14.025\"E", exports$1.bogota = -74.080916666667; //"74d04'51.3\"W", exports$1.madrid = -3.687938888889; //"3d41'16.58\"W", exports$1.rome = 12.452333333333; //"12d27'8.4\"E", exports$1.bern = 7.439583333333; //"7d26'22.5\"E", exports$1.jakarta = 106.807719444444; //"106d48'27.79\"E", exports$1.ferro = -17.666666666667; //"17d40'W", exports$1.brussels = 4.367975; //"4d22'4.71\"E", exports$1.stockholm = 18.058277777778; //"18d3'29.8\"E", exports$1.athens = 23.7163375; //"23d42'58.815\"E", exports$1.oslo = 10.722916666667; //"10d43'22.5\"E" var units = { ft: {to_meter: 0.3048}, 'us-ft': {to_meter: 1200 / 3937} }; var ignoredChar = /[\s_\-\/\(\)]/g; function match(obj, key) { if (obj[key]) { return obj[key]; } var keys = Object.keys(obj); var lkey = key.toLowerCase().replace(ignoredChar, ''); var i = -1; var testkey, processedKey; while (++i < keys.length) { testkey = keys[i]; processedKey = testkey.toLowerCase().replace(ignoredChar, ''); if (processedKey === lkey) { return obj[testkey]; } } } var parseProj = function(defData) { var self = {}; var paramObj = defData.split('+').map(function(v) { return v.trim(); }).filter(function(a) { return a; }).reduce(function(p, a) { var split = a.split('='); split.push(true); p[split[0].toLowerCase()] = split[1]; return p; }, {}); var paramName, paramVal, paramOutname; var params = { proj: 'projName', datum: 'datumCode', rf: function(v) { self.rf = parseFloat(v); }, lat_0: function(v) { self.lat0 = v * D2R; }, lat_1: function(v) { self.lat1 = v * D2R; }, lat_2: function(v) { self.lat2 = v * D2R; }, lat_ts: function(v) { self.lat_ts = v * D2R; }, lon_0: function(v) { self.long0 = v * D2R; }, lon_1: function(v) { self.long1 = v * D2R; }, lon_2: function(v) { self.long2 = v * D2R; }, alpha: function(v) { self.alpha = parseFloat(v) * D2R; }, lonc: function(v) { self.longc = v * D2R; }, x_0: function(v) { self.x0 = parseFloat(v); }, y_0: function(v) { self.y0 = parseFloat(v); }, k_0: function(v) { self.k0 = parseFloat(v); }, k: function(v) { self.k0 = parseFloat(v); }, a: function(v) { self.a = parseFloat(v); }, b: function(v) { self.b = parseFloat(v); }, r_a: function() { self.R_A = true; }, zone: function(v) { self.zone = parseInt(v, 10); }, south: function() { self.utmSouth = true; }, towgs84: function(v) { self.datum_params = v.split(",").map(function(a) { return parseFloat(a); }); }, to_meter: function(v) { self.to_meter = parseFloat(v); }, units: function(v) { self.units = v; var unit = match(units, v); if (unit) { self.to_meter = unit.to_meter; } }, from_greenwich: function(v) { self.from_greenwich = v * D2R; }, pm: function(v) { var pm = match(exports$1, v); self.from_greenwich = (pm ? pm : parseFloat(v)) * D2R; }, nadgrids: function(v) { if (v === '@null') { self.datumCode = 'none'; } else { self.nadgrids = v; } }, axis: function(v) { var legalAxis = "ewnsud"; if (v.length === 3 && legalAxis.indexOf(v.substr(0, 1)) !== -1 && legalAxis.indexOf(v.substr(1, 1)) !== -1 && legalAxis.indexOf(v.substr(2, 1)) !== -1) { self.axis = v; } } }; for (paramName in paramObj) { paramVal = paramObj[paramName]; if (paramName in params) { paramOutname = params[paramName]; if (typeof paramOutname === 'function') { paramOutname(paramVal); } else { self[paramOutname] = paramVal; } } else { self[paramName] = paramVal; } } if(typeof self.datumCode === 'string' && self.datumCode !== "WGS84"){ self.datumCode = self.datumCode.toLowerCase(); } return self; }; function defs(name) { /*global console*/ var that = this; if (arguments.length === 2) { var def = arguments[1]; if (typeof def === 'string') { if (def.charAt(0) === '+') { defs[name] = parseProj(arguments[1]); } else { defs[name] = wkt(arguments[1]); } } else { defs[name] = def; } } else if (arguments.length === 1) { if (Array.isArray(name)) { return name.map(function(v) { if (Array.isArray(v)) { defs.apply(that, v); } else { defs(v); } }); } else if (typeof name === 'string') { if (name in defs) { return defs[name]; } } else if ('EPSG' in name) { defs['EPSG:' + name.EPSG] = name; } else if ('ESRI' in name) { defs['ESRI:' + name.ESRI] = name; } else if ('IAU2000' in name) { defs['IAU2000:' + name.IAU2000] = name; } else { console.log(name); } return; } } globals(defs); function testObj(code){ return typeof code === 'string'; } function testDef(code){ return code in defs; } var codeWords = ['PROJECTEDCRS', 'PROJCRS', 'GEOGCS','GEOCCS','PROJCS','LOCAL_CS', 'GEODCRS', 'GEODETICCRS', 'GEODETICDATUM', 'ENGCRS', 'ENGINEERINGCRS']; function testWKT(code){ return codeWords.some(function (word) { return code.indexOf(word) > -1; }); } var codes = ['3857', '900913', '3785', '102113']; function checkMercator(item) { var auth = match(item, 'authority'); if (!auth) { return; } var code = match(auth, 'epsg'); return code && codes.indexOf(code) > -1; } function checkProjStr(item) { var ext = match(item, 'extension'); if (!ext) { return; } return match(ext, 'proj4'); } function testProj(code){ return code[0] === '+'; } function parse(code){ if (testObj(code)) { //check to see if this is a WKT string if (testDef(code)) { return defs[code]; } if (testWKT(code)) { var out = wkt(code); // test of spetial case, due to this being a very common and often malformed if (checkMercator(out)) { return defs['EPSG:3857']; } var maybeProjStr = checkProjStr(out); if (maybeProjStr) { return parseProj(maybeProjStr); } return out; } if (testProj(code)) { return parseProj(code); } }else{ return code; } } var extend = function(destination, source) { destination = destination || {}; var value, property; if (!source) { return destination; } for (property in source) { value = source[property]; if (value !== undefined) { destination[property] = value; } } return destination; }; var msfnz = function(eccent, sinphi, cosphi) { var con = eccent * sinphi; return cosphi / (Math.sqrt(1 - con * con)); }; var sign = function(x) { return x<0 ? -1 : 1; }; var adjust_lon = function(x) { return (Math.abs(x) <= SPI) ? x : (x - (sign(x) * TWO_PI)); }; var tsfnz = function(eccent, phi, sinphi) { var con = eccent * sinphi; var com = 0.5 * eccent; con = Math.pow(((1 - con) / (1 + con)), com); return (Math.tan(0.5 * (HALF_PI - phi)) / con); }; var phi2z = function(eccent, ts) { var eccnth = 0.5 * eccent; var con, dphi; var phi = HALF_PI - 2 * Math.atan(ts); for (var i = 0; i <= 15; i++) { con = eccent * Math.sin(phi); dphi = HALF_PI - 2 * Math.atan(ts * (Math.pow(((1 - con) / (1 + con)), eccnth))) - phi; phi += dphi; if (Math.abs(dphi) <= 0.0000000001) { return phi; } } //console.log("phi2z has NoConvergence"); return -9999; }; function init() { var con = this.b / this.a; this.es = 1 - con * con; if(!('x0' in this)){ this.x0 = 0; } if(!('y0' in this)){ this.y0 = 0; } this.e = Math.sqrt(this.es); if (this.lat_ts) { if (this.sphere) { this.k0 = Math.cos(this.lat_ts); } else { this.k0 = msfnz(this.e, Math.sin(this.lat_ts), Math.cos(this.lat_ts)); } } else { if (!this.k0) { if (this.k) { this.k0 = this.k; } else { this.k0 = 1; } } } } /* Mercator forward equations--mapping lat,long to x,y --------------------------------------------------*/ function forward(p) { var lon = p.x; var lat = p.y; // convert to radians if (lat * R2D > 90 && lat * R2D < -90 && lon * R2D > 180 && lon * R2D < -180) { return null; } var x, y; if (Math.abs(Math.abs(lat) - HALF_PI) <= EPSLN) { return null; } else { if (this.sphere) { x = this.x0 + this.a * this.k0 * adjust_lon(lon - this.long0); y = this.y0 + this.a * this.k0 * Math.log(Math.tan(FORTPI + 0.5 * lat)); } else { var sinphi = Math.sin(lat); var ts = tsfnz(this.e, lat, sinphi); x = this.x0 + this.a * this.k0 * adjust_lon(lon - this.long0); y = this.y0 - this.a * this.k0 * Math.log(ts); } p.x = x; p.y = y; return p; } } /* Mercator inverse equations--mapping x,y to lat/long --------------------------------------------------*/ function inverse(p) { var x = p.x - this.x0; var y = p.y - this.y0; var lon, lat; if (this.sphere) { lat = HALF_PI - 2 * Math.atan(Math.exp(-y / (this.a * this.k0))); } else { var ts = Math.exp(-y / (this.a * this.k0)); lat = phi2z(this.e, ts); if (lat === -9999) { return null; } } lon = adjust_lon(this.long0 + x / (this.a * this.k0)); p.x = lon; p.y = lat; return p; } var names$1 = ["Mercator", "Popular Visualisation Pseudo Mercator", "Mercator_1SP", "Mercator_Auxiliary_Sphere", "merc"]; var merc = { init: init, forward: forward, inverse: inverse, names: names$1 }; function init$1() { //no-op for longlat } function identity(pt) { return pt; } var names$2 = ["longlat", "identity"]; var longlat = { init: init$1, forward: identity, inverse: identity, names: names$2 }; var projs = [merc, longlat]; var names = {}; var projStore = []; function add(proj, i) { var len = projStore.length; if (!proj.names) { console.log(i); return true; } projStore[len] = proj; proj.names.forEach(function(n) { names[n.toLowerCase()] = len; }); return this; } function get(name) { if (!name) { return false; } var n = name.toLowerCase(); if (typeof names[n] !== 'undefined' && projStore[names[n]]) { return projStore[names[n]]; } } function start() { projs.forEach(add); } var projections = { start: start, add: add, get: get }; var exports$2 = {}; exports$2.MERIT = { a: 6378137.0, rf: 298.257, ellipseName: "MERIT 1983" }; exports$2.SGS85 = { a: 6378136.0, rf: 298.257, ellipseName: "Soviet Geodetic System 85" }; exports$2.GRS80 = { a: 6378137.0, rf: 298.257222101, ellipseName: "GRS 1980(IUGG, 1980)" }; exports$2.IAU76 = { a: 6378140.0, rf: 298.257, ellipseName: "IAU 1976" }; exports$2.airy = { a: 6377563.396, b: 6356256.910, ellipseName: "Airy 1830" }; exports$2.APL4 = { a: 6378137, rf: 298.25, ellipseName: "Appl. Physics. 1965" }; exports$2.NWL9D = { a: 6378145.0, rf: 298.25, ellipseName: "Naval Weapons Lab., 1965" }; exports$2.mod_airy = { a: 6377340.189, b: 6356034.446, ellipseName: "Modified Airy" }; exports$2.andrae = { a: 6377104.43, rf: 300.0, ellipseName: "Andrae 1876 (Den., Iclnd.)" }; exports$2.aust_SA = { a: 6378160.0, rf: 298.25, ellipseName: "Australian Natl & S. Amer. 1969" }; exports$2.GRS67 = { a: 6378160.0, rf: 298.2471674270, ellipseName: "GRS 67(IUGG 1967)" }; exports$2.bessel = { a: 6377397.155, rf: 299.1528128, ellipseName: "Bessel 1841" }; exports$2.bess_nam = { a: 6377483.865, rf: 299.1528128, ellipseName: "Bessel 1841 (Namibia)" }; exports$2.clrk66 = { a: 6378206.4, b: 6356583.8, ellipseName: "Clarke 1866" }; exports$2.clrk80 = { a: 6378249.145, rf: 293.4663, ellipseName: "Clarke 1880 mod." }; exports$2.clrk58 = { a: 6378293.645208759, rf: 294.2606763692654, ellipseName: "Clarke 1858" }; exports$2.CPM = { a: 6375738.7, rf: 334.29, ellipseName: "Comm. des Poids et Mesures 1799" }; exports$2.delmbr = { a: 6376428.0, rf: 311.5, ellipseName: "Delambre 1810 (Belgium)" }; exports$2.engelis = { a: 6378136.05, rf: 298.2566, ellipseName: "Engelis 1985" }; exports$2.evrst30 = { a: 6377276.345, rf: 300.8017, ellipseName: "Everest 1830" }; exports$2.evrst48 = { a: 6377304.063, rf: 300.8017, ellipseName: "Everest 1948" }; exports$2.evrst56 = { a: 6377301.243, rf: 300.8017, ellipseName: "Everest 1956" }; exports$2.evrst69 = { a: 6377295.664, rf: 300.8017, ellipseName: "Everest 1969" }; exports$2.evrstSS = { a: 6377298.556, rf: 300.8017, ellipseName: "Everest (Sabah & Sarawak)" }; exports$2.fschr60 = { a: 6378166.0, rf: 298.3, ellipseName: "Fischer (Mercury Datum) 1960" }; exports$2.fschr60m = { a: 6378155.0, rf: 298.3, ellipseName: "Fischer 1960" }; exports$2.fschr68 = { a: 6378150.0, rf: 298.3, ellipseName: "Fischer 1968" }; exports$2.helmert = { a: 6378200.0, rf: 298.3, ellipseName: "Helmert 1906" }; exports$2.hough = { a: 6378270.0, rf: 297.0, ellipseName: "Hough" }; exports$2.intl = { a: 6378388.0, rf: 297.0, ellipseName: "International 1909 (Hayford)" }; exports$2.kaula = { a: 6378163.0, rf: 298.24, ellipseName: "Kaula 1961" }; exports$2.lerch = { a: 6378139.0, rf: 298.257, ellipseName: "Lerch 1979" }; exports$2.mprts = { a: 6397300.0, rf: 191.0, ellipseName: "Maupertius 1738" }; exports$2.new_intl = { a: 6378157.5, b: 6356772.2, ellipseName: "New International 1967" }; exports$2.plessis = { a: 6376523.0, rf: 6355863.0, ellipseName: "Plessis 1817 (France)" }; exports$2.krass = { a: 6378245.0, rf: 298.3, ellipseName: "Krassovsky, 1942" }; exports$2.SEasia = { a: 6378155.0, b: 6356773.3205, ellipseName: "Southeast Asia" }; exports$2.walbeck = { a: 6376896.0, b: 6355834.8467, ellipseName: "Walbeck" }; exports$2.WGS60 = { a: 6378165.0, rf: 298.3, ellipseName: "WGS 60" }; exports$2.WGS66 = { a: 6378145.0, rf: 298.25, ellipseName: "WGS 66" }; exports$2.WGS7 = { a: 6378135.0, rf: 298.26, ellipseName: "WGS 72" }; var WGS84 = exports$2.WGS84 = { a: 6378137.0, rf: 298.257223563, ellipseName: "WGS 84" }; exports$2.sphere = { a: 6370997.0, b: 6370997.0, ellipseName: "Normal Sphere (r=6370997)" }; function eccentricity(a, b, rf, R_A) { var a2 = a * a; // used in geocentric var b2 = b * b; // used in geocentric var es = (a2 - b2) / a2; // e ^ 2 var e = 0; if (R_A) { a *= 1 - es * (SIXTH + es * (RA4 + es * RA6)); a2 = a * a; es = 0; } else { e = Math.sqrt(es); // eccentricity } var ep2 = (a2 - b2) / b2; // used in geocentric return { es: es, e: e, ep2: ep2 }; } function sphere(a, b, rf, ellps, sphere) { if (!a) { // do we have an ellipsoid? var ellipse = match(exports$2, ellps); if (!ellipse) { ellipse = WGS84; } a = ellipse.a; b = ellipse.b; rf = ellipse.rf; } if (rf && !b) { b = (1.0 - 1.0 / rf) * a; } if (rf === 0 || Math.abs(a - b) < EPSLN) { sphere = true; b = a; } return { a: a, b: b, rf: rf, sphere: sphere }; } var exports$3 = {}; exports$3.wgs84 = { towgs84: "0,0,0", ellipse: "WGS84", datumName: "WGS84" }; exports$3.ch1903 = { towgs84: "674.374,15.056,405.346", ellipse: "bessel", datumName: "swiss" }; exports$3.ggrs87 = { towgs84: "-199.87,74.79,246.62", ellipse: "GRS80", datumName: "Greek_Geodetic_Reference_System_1987" }; exports$3.nad83 = { towgs84: "0,0,0", ellipse: "GRS80", datumName: "North_American_Datum_1983" }; exports$3.nad27 = { nadgrids: "@conus,@alaska,@ntv2_0.gsb,@ntv1_can.dat", ellipse: "clrk66", datumName: "North_American_Datum_1927" }; exports$3.potsdam = { towgs84: "606.0,23.0,413.0", ellipse: "bessel", datumName: "Potsdam Rauenberg 1950 DHDN" }; exports$3.carthage = { towgs84: "-263.0,6.0,431.0", ellipse: "clark80", datumName: "Carthage 1934 Tunisia" }; exports$3.hermannskogel = { towgs84: "653.0,-212.0,449.0", ellipse: "bessel", datumName: "Hermannskogel" }; exports$3.osni52 = { towgs84: "482.530,-130.596,564.557,-1.042,-0.214,-0.631,8.15", ellipse: "airy", datumName: "Irish National" }; exports$3.ire65 = { towgs84: "482.530,-130.596,564.557,-1.042,-0.214,-0.631,8.15", ellipse: "mod_airy", datumName: "Ireland 1965" }; exports$3.rassadiran = { towgs84: "-133.63,-157.5,-158.62", ellipse: "intl", datumName: "Rassadiran" }; exports$3.nzgd49 = { towgs84: "59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993", ellipse: "intl", datumName: "New Zealand Geodetic Datum 1949" }; exports$3.osgb36 = { towgs84: "446.448,-125.157,542.060,0.1502,0.2470,0.8421,-20.4894", ellipse: "airy", datumName: "Airy 1830" }; exports$3.s_jtsk = { towgs84: "589,76,480", ellipse: 'bessel', datumName: 'S-JTSK (Ferro)' }; exports$3.beduaram = { towgs84: '-106,-87,188', ellipse: 'clrk80', datumName: 'Beduaram' }; exports$3.gunung_segara = { towgs84: '-403,684,41', ellipse: 'bessel', datumName: 'Gunung Segara Jakarta' }; exports$3.rnb72 = { towgs84: "106.869,-52.2978,103.724,-0.33657,0.456955,-1.84218,1", ellipse: "intl", datumName: "Reseau National Belge 1972" }; function datum(datumCode, datum_params, a, b, es, ep2) { var out = {}; if (datumCode === undefined || datumCode === 'none') { out.datum_type = PJD_NODATUM; } else { out.datum_type = PJD_WGS84; } if (datum_params) { out.datum_params = datum_params.map(parseFloat); if (out.datum_params[0] !== 0 || out.datum_params[1] !== 0 || out.datum_params[2] !== 0) { out.datum_type = PJD_3PARAM; } if (out.datum_params.length > 3) { if (out.datum_params[3] !== 0 || out.datum_params[4] !== 0 || out.datum_params[5] !== 0 || out.datum_params[6] !== 0) { out.datum_type = PJD_7PARAM; out.datum_params[3] *= SEC_TO_RAD; out.datum_params[4] *= SEC_TO_RAD; out.datum_params[5] *= SEC_TO_RAD; out.datum_params[6] = (out.datum_params[6] / 1000000.0) + 1.0; } } } out.a = a; //datum object also uses these values out.b = b; out.es = es; out.ep2 = ep2; return out; } function Projection(srsCode,callback) { if (!(this instanceof Projection)) { return new Projection(srsCode); } callback = callback || function(error){ if(error){ throw error; } }; var json = parse(srsCode); if(typeof json !== 'object'){ callback(srsCode); return; } var ourProj = Projection.projections.get(json.projName); if(!ourProj){ callback(srsCode); return; } if (json.datumCode && json.datumCode !== 'none') { var datumDef = match(exports$3, json.datumCode); if (datumDef) { json.datum_params = datumDef.towgs84 ? datumDef.towgs84.split(',') : null; json.ellps = datumDef.ellipse; json.datumName = datumDef.datumName ? datumDef.datumName : json.datumCode; } } json.k0 = json.k0 || 1.0; json.axis = json.axis || 'enu'; json.ellps = json.ellps || 'wgs84'; var sphere_ = sphere(json.a, json.b, json.rf, json.ellps, json.sphere); var ecc = eccentricity(sphere_.a, sphere_.b, sphere_.rf, json.R_A); var datumObj = json.datum || datum(json.datumCode, json.datum_params, sphere_.a, sphere_.b, ecc.es, ecc.ep2); extend(this, json); // transfer everything over from the projection because we don't know what we'll need extend(this, ourProj); // transfer all the methods from the projection // copy the 4 things over we calulated in deriveConstants.sphere this.a = sphere_.a; this.b = sphere_.b; this.rf = sphere_.rf; this.sphere = sphere_.sphere; // copy the 3 things we calculated in deriveConstants.eccentricity this.es = ecc.es; this.e = ecc.e; this.ep2 = ecc.ep2; // add in the datum object this.datum = datumObj; // init the projection this.init(); // legecy callback from back in the day when it went to spatialreference.org callback(null, this); } Projection.projections = projections; Projection.projections.start(); 'use strict'; function compareDatums(source, dest) { if (source.datum_type !== dest.datum_type) { return false; // false, datums are not equal } else if (source.a !== dest.a || Math.abs(source.es - dest.es) > 0.000000000050) { // the tolerance for es is to ensure that GRS80 and WGS84 // are considered identical return false; } else if (source.datum_type === PJD_3PARAM) { return (source.datum_params[0] === dest.datum_params[0] && source.datum_params[1] === dest.datum_params[1] && source.datum_params[2] === dest.datum_params[2]); } else if (source.datum_type === PJD_7PARAM) { return (source.datum_params[0] === dest.datum_params[0] && source.datum_params[1] === dest.datum_params[1] && source.datum_params[2] === dest.datum_params[2] && source.datum_params[3] === dest.datum_params[3] && source.datum_params[4] === dest.datum_params[4] && source.datum_params[5] === dest.datum_params[5] && source.datum_params[6] === dest.datum_params[6]); } else { return true; // datums are equal } } // cs_compare_datums() /* * The function Convert_Geodetic_To_Geocentric converts geodetic coordinates * (latitude, longitude, and height) to geocentric coordinates (X, Y, Z), * according to the current ellipsoid parameters. * * Latitude : Geodetic latitude in radians (input) * Longitude : Geodetic longitude in radians (input) * Height : Geodetic height, in meters (input) * X : Calculated Geocentric X coordinate, in meters (output) * Y : Calculated Geocentric Y coordinate, in meters (output) * Z : Calculated Geocentric Z coordinate, in meters (output) * */ function geodeticToGeocentric(p, es, a) { var Longitude = p.x; var Latitude = p.y; var Height = p.z ? p.z : 0; //Z value not always supplied var Rn; /* Earth radius at location */ var Sin_Lat; /* Math.sin(Latitude) */ var Sin2_Lat; /* Square of Math.sin(Latitude) */ var Cos_Lat; /* Math.cos(Latitude) */ /* ** Don't blow up if Latitude is just a little out of the value ** range as it may just be a rounding issue. Also removed longitude ** test, it should be wrapped by Math.cos() and Math.sin(). NFW for PROJ.4, Sep/2001. */ if (Latitude < -HALF_PI && Latitude > -1.001 * HALF_PI) { Latitude = -HALF_PI; } else if (Latitude > HALF_PI && Latitude < 1.001 * HALF_PI) { Latitude = HALF_PI; } else if (Latitude < -HALF_PI) { /* Latitude out of range */ //..reportError('geocent:lat out of range:' + Latitude); return { x: -Infinity, y: -Infinity, z: p.z }; } else if (Latitude > HALF_PI) { /* Latitude out of range */ return { x: Infinity, y: Infinity, z: p.z }; } if (Longitude > Math.PI) { Longitude -= (2 * Math.PI); } Sin_Lat = Math.sin(Latitude); Cos_Lat = Math.cos(Latitude); Sin2_Lat = Sin_Lat * Sin_Lat; Rn = a / (Math.sqrt(1.0e0 - es * Sin2_Lat)); return { x: (Rn + Height) * Cos_Lat * Math.cos(Longitude), y: (Rn + Height) * Cos_Lat * Math.sin(Longitude), z: ((Rn * (1 - es)) + Height) * Sin_Lat }; } // cs_geodetic_to_geocentric() function geocentricToGeodetic(p, es, a, b) { /* local defintions and variables */ /* end-criterium of loop, accuracy of sin(Latitude) */ var genau = 1e-12; var genau2 = (genau * genau); var maxiter = 30; var P; /* distance between semi-minor axis and location */ var RR; /* distance between center and location */ var CT; /* sin of geocentric latitude */ var ST; /* cos of geocentric latitude */ var RX; var RK; var RN; /* Earth radius at location */ var CPHI0; /* cos of start or old geodetic latitude in iterations */ var SPHI0; /* sin of start or old geodetic latitude in iterations */ var CPHI; /* cos of searched geodetic latitude */ var SPHI; /* sin of searched geodetic latitude */ var SDPHI; /* end-criterium: addition-theorem of sin(Latitude(iter)-Latitude(iter-1)) */ var iter; /* # of continous iteration, max. 30 is always enough (s.a.) */ var X = p.x; var Y = p.y; var Z = p.z ? p.z : 0.0; //Z value not always supplied var Longitude; var Latitude; var Height; P = Math.sqrt(X * X + Y * Y); RR = Math.sqrt(X * X + Y * Y + Z * Z); /* special cases for latitude and longitude */ if (P / a < genau) { /* special case, if P=0. (X=0., Y=0.) */ Longitude = 0.0; /* if (X,Y,Z)=(0.,0.,0.) then Height becomes semi-minor axis * of ellipsoid (=center of mass), Latitude becomes PI/2 */ if (RR / a < genau) { Latitude = HALF_PI; Height = -b; return { x: p.x, y: p.y, z: p.z }; } } else { /* ellipsoidal (geodetic) longitude * interval: -PI < Longitude <= +PI */ Longitude = Math.atan2(Y, X); } /* -------------------------------------------------------------- * Following iterative algorithm was developped by * "Institut for Erdmessung", University of Hannover, July 1988. * Internet: www.ife.uni-hannover.de * Iterative computation of CPHI,SPHI and Height. * Iteration of CPHI and SPHI to 10**-12 radian resp. * 2*10**-7 arcsec. * -------------------------------------------------------------- */ CT = Z / RR; ST = P / RR; RX = 1.0 / Math.sqrt(1.0 - es * (2.0 - es) * ST * ST); CPHI0 = ST * (1.0 - es) * RX; SPHI0 = CT * RX; iter = 0; /* loop to find sin(Latitude) resp. Latitude * until |sin(Latitude(iter)-Latitude(iter-1))| < genau */ do { iter++; RN = a / Math.sqrt(1.0 - es * SPHI0 * SPHI0); /* ellipsoidal (geodetic) height */ Height = P * CPHI0 + Z * SPHI0 - RN * (1.0 - es * SPHI0 * SPHI0); RK = es * RN / (RN + Height); RX = 1.0 / Math.sqrt(1.0 - RK * (2.0 - RK) * ST * ST); CPHI = ST * (1.0 - RK) * RX; SPHI = CT * RX; SDPHI = SPHI * CPHI0 - CPHI * SPHI0; CPHI0 = CPHI; SPHI0 = SPHI; } while (SDPHI * SDPHI > genau2 && iter < maxiter); /* ellipsoidal (geodetic) latitude */ Latitude = Math.atan(SPHI / Math.abs(CPHI)); return { x: Longitude, y: Latitude, z: Height }; } // cs_geocentric_to_geodetic() /****************************************************************/ // pj_geocentic_to_wgs84( p ) // p = point to transform in geocentric coordinates (x,y,z) /** point object, nothing fancy, just allows values to be passed back and forth by reference rather than by value. Other point classes may be used as long as they have x and y properties, which will get modified in the transform method. */ function geocentricToWgs84(p, datum_type, datum_params) { if (datum_type === PJD_3PARAM) { // if( x[io] === HUGE_VAL ) // continue; return { x: p.x + datum_params[0], y: p.y + datum_params[1], z: p.z + datum_params[2], }; } else if (datum_type === PJD_7PARAM) { var Dx_BF = datum_params[0]; var Dy_BF = datum_params[1]; var Dz_BF = datum_params[2]; var Rx_BF = datum_params[3]; var Ry_BF = datum_params[4]; var Rz_BF = datum_params[5]; var M_BF = datum_params[6]; // if( x[io] === HUGE_VAL ) // continue; return { x: M_BF * (p.x - Rz_BF * p.y + Ry_BF * p.z) + Dx_BF, y: M_BF * (Rz_BF * p.x + p.y - Rx_BF * p.z) + Dy_BF, z: M_BF * (-Ry_BF * p.x + Rx_BF * p.y + p.z) + Dz_BF }; } } // cs_geocentric_to_wgs84 /****************************************************************/ // pj_geocentic_from_wgs84() // coordinate system definition, // point to transform in geocentric coordinates (x,y,z) function geocentricFromWgs84(p, datum_type, datum_params) { if (datum_type === PJD_3PARAM) { //if( x[io] === HUGE_VAL ) // continue; return { x: p.x - datum_params[0], y: p.y - datum_params[1], z: p.z - datum_params[2], }; } else if (datum_type === PJD_7PARAM) { var Dx_BF = datum_params[0]; var Dy_BF = datum_params[1]; var Dz_BF = datum_params[2]; var Rx_BF = datum_params[3]; var Ry_BF = datum_params[4]; var Rz_BF = datum_params[5]; var M_BF = datum_params[6]; var x_tmp = (p.x - Dx_BF) / M_BF; var y_tmp = (p.y - Dy_BF) / M_BF; var z_tmp = (p.z - Dz_BF) / M_BF; //if( x[io] === HUGE_VAL ) // continue; return { x: x_tmp + Rz_BF * y_tmp - Ry_BF * z_tmp, y: -Rz_BF * x_tmp + y_tmp + Rx_BF * z_tmp, z: Ry_BF * x_tmp - Rx_BF * y_tmp + z_tmp }; } //cs_geocentric_from_wgs84() } function checkParams(type) { return (type === PJD_3PARAM || type === PJD_7PARAM); } var datum_transform = function(source, dest, point) { // Short cut if the datums are identical. if (compareDatums(source, dest)) { return point; // in this case, zero is sucess, // whereas cs_compare_datums returns 1 to indicate TRUE // confusing, should fix this } // Explicitly skip datum transform by setting 'datum=none' as parameter for either source or dest if (source.datum_type === PJD_NODATUM || dest.datum_type === PJD_NODATUM) { return point; } // If this datum requires grid shifts, then apply it to geodetic coordinates. // Do we need to go through geocentric coordinates? if (source.es === dest.es && source.a === dest.a && !checkParams(source.datum_type) && !checkParams(dest.datum_type)) { return point; } // Convert to geocentric coordinates. point = geodeticToGeocentric(point, source.es, source.a); // Convert between datums if (checkParams(source.datum_type)) { point = geocentricToWgs84(point, source.datum_type, source.datum_params); } if (checkParams(dest.datum_type)) { point = geocentricFromWgs84(point, dest.datum_type, dest.datum_params); } return geocentricToGeodetic(point, dest.es, dest.a, dest.b); }; var adjust_axis = function(crs, denorm, point) { var xin = point.x, yin = point.y, zin = point.z || 0.0; var v, t, i; var out = {}; for (i = 0; i < 3; i++) { if (denorm && i === 2 && point.z === undefined) { continue; } if (i === 0) { v = xin; if ("ew".indexOf(crs.axis[i]) !== -1) { t = 'x'; } else { t = 'y'; } } else if (i === 1) { v = yin; if ("ns".indexOf(crs.axis[i]) !== -1) { t = 'y'; } else { t = 'x'; } } else { v = zin; t = 'z'; } switch (crs.axis[i]) { case 'e': case 'w': case 'n': case 's': out[t] = v; break; case 'u': if (point[t] !== undefined) { out.z = v; } break; case 'd': if (point[t] !== undefined) { out.z = -v; } break; default: //console.log("ERROR: unknow axis ("+crs.axis[i]+") - check definition of "+crs.projName); return null; } } return out; }; var toPoint = function (array){ var out = { x: array[0], y: array[1] }; if (array.length>2) { out.z = array[2]; } if (array.length>3) { out.m = array[3]; } return out; }; var checkSanity = function (point) { checkCoord(point.x); checkCoord(point.y); }; function checkCoord(num) { if (typeof Number.isFinite === 'function') { if (Number.isFinite(num)) { return; } throw new TypeError('coordinates must be finite numbers'); } if (typeof num !== 'number' || num !== num || !isFinite(num)) { throw new TypeError('coordinates must be finite numbers'); } } function checkNotWGS(source, dest) { return ((source.datum.datum_type === PJD_3PARAM || source.datum.datum_type === PJD_7PARAM) && dest.datumCode !== 'WGS84') || ((dest.datum.datum_type === PJD_3PARAM || dest.datum.datum_type === PJD_7PARAM) && source.datumCode !== 'WGS84'); } function transform(source, dest, point) { var wgs84; if (Array.isArray(point)) { point = toPoint(point); } checkSanity(point); // Workaround for datum shifts towgs84, if either source or destination projection is not wgs84 if (source.datum && dest.datum && checkNotWGS(source, dest)) { wgs84 = new Projection('WGS84'); point = transform(source, wgs84, point); source = wgs84; } // DGR, 2010/11/12 if (source.axis !== 'enu') { point = adjust_axis(source, false, point); } // Transform source points to long/lat, if they aren't already. if (source.projName === 'longlat') { point = { x: point.x * D2R, y: point.y * D2R, z: point.z || 0 }; } else { if (source.to_meter) { point = { x: point.x * source.to_meter, y: point.y * source.to_meter, z: point.z || 0 }; } point = source.inverse(point); // Convert Cartesian to longlat if (!point) { return; } } // Adjust for the prime meridian if necessary if (source.from_greenwich) { point.x += source.from_greenwich; } // Convert datums if needed, and if possible. point = datum_transform(source.datum, dest.datum, point); // Adjust for the prime meridian if necessary if (dest.from_greenwich) { point = { x: point.x - dest.from_greenwich, y: point.y, z: point.z || 0 }; } if (dest.projName === 'longlat') { // convert radians to decimal degrees point = { x: point.x * R2D, y: point.y * R2D, z: point.z || 0 }; } else { // else project point = dest.forward(point); if (dest.to_meter) { point = { x: point.x / dest.to_meter, y: point.y / dest.to_meter, z: point.z || 0 }; } } // DGR, 2010/11/12 if (dest.axis !== 'enu') { return adjust_axis(dest, true, point); } return point; } var wgs84 = Projection('WGS84'); function transformer(from, to, coords) { var transformedArray, out, keys; if (Array.isArray(coords)) { transformedArray = transform(from, to, coords) || {x: NaN, y: NaN}; if (coords.length > 2) { if ((typeof from.name !== 'undefined' && from.name === 'geocent') || (typeof to.name !== 'undefined' && to.name === 'geocent')) { if (typeof transformedArray.z === 'number') { return [transformedArray.x, transformedArray.y, transformedArray.z].concat(coords.splice(3)); } else { return [transformedArray.x, transformedArray.y, coords[2]].concat(coords.splice(3)); } } else { return [transformedArray.x, transformedArray.y].concat(coords.splice(2)); } } else { return [transformedArray.x, transformedArray.y]; } } else { out = transform(from, to, coords); keys = Object.keys(coords); if (keys.length === 2) { return out; } keys.forEach(function (key) { if ((typeof from.name !== 'undefined' && from.name === 'geocent') || (typeof to.name !== 'undefined' && to.name === 'geocent')) { if (key === 'x' || key === 'y' || key === 'z') { return; } } else { if (key === 'x' || key === 'y') { return; } } out[key] = coords[key]; }); return out; } } function checkProj(item) { if (item instanceof Projection) { return item; } if (item.oProj) { return item.oProj; } return Projection(item); } function proj4$1(fromProj, toProj, coord) { fromProj = checkProj(fromProj); var single = false; var obj; if (typeof toProj === 'undefined') { toProj = fromProj; fromProj = wgs84; single = true; } else if (typeof toProj.x !== 'undefined' || Array.isArray(toProj)) { coord = toProj; toProj = fromProj; fromProj = wgs84; single = true; } toProj = checkProj(toProj); if (coord) { return transformer(fromProj, toProj, coord); } else { obj = { forward: function (coords) { return transformer(fromProj, toProj, coords); }, inverse: function (coords) { return transformer(toProj, fromProj, coords); } }; if (single) { obj.oProj = toProj; } return obj; } } /** * UTM zones are grouped, and assigned to one of a group of 6 * sets. * * {int} @private */ var NUM_100K_SETS = 6; /** * The column letters (for easting) of the lower left value, per * set. * * {string} @private */ var SET_ORIGIN_COLUMN_LETTERS = 'AJSAJS'; /** * The row letters (for northing) of the lower left value, per * set. * * {string} @private */ var SET_ORIGIN_ROW_LETTERS = 'AFAFAF'; var A = 65; // A var I = 73; // I var O = 79; // O var V = 86; // V var Z = 90; // Z var mgrs = { forward: forward$1, inverse: inverse$1, toPoint: toPoint$1 }; /** * Conversion of lat/lon to MGRS. * * @param {object} ll Object literal with lat and lon properties on a * WGS84 ellipsoid. * @param {int} accuracy Accuracy in digits (5 for 1 m, 4 for 10 m, 3 for * 100 m, 2 for 1000 m or 1 for 10000 m). Optional, default is 5. * @return {string} the MGRS string for the given location and accuracy. */ function forward$1(ll, accuracy) { accuracy = accuracy || 5; // default accuracy 1m return encode(LLtoUTM({ lat: ll[1], lon: ll[0] }), accuracy); } /** * Conversion of MGRS to lat/lon. * * @param {string} mgrs MGRS string. * @return {array} An array with left (longitude), bottom (latitude), right * (longitude) and top (latitude) values in WGS84, representing the * bounding box for the provided MGRS reference. */ function inverse$1(mgrs) { var bbox = UTMtoLL(decode(mgrs.toUpperCase())); if (bbox.lat && bbox.lon) { return [bbox.lon, bbox.lat, bbox.lon, bbox.lat]; } return [bbox.left, bbox.bottom, bbox.right, bbox.top]; } function toPoint$1(mgrs) { var bbox = UTMtoLL(decode(mgrs.toUpperCase())); if (bbox.lat && bbox.lon) { return [bbox.lon, bbox.lat]; } return [(bbox.left + bbox.right) / 2, (bbox.top + bbox.bottom) / 2]; } /** * Conversion from degrees to radians. * * @private * @param {number} deg the angle in degrees. * @return {number} the angle in radians. */ function degToRad(deg) { return (deg * (Math.PI / 180.0)); } /** * Conversion from radians to degrees. * * @private * @param {number} rad the angle in radians. * @return {number} the angle in degrees. */ function radToDeg(rad) { return (180.0 * (rad / Math.PI)); } /** * Converts a set of Longitude and Latitude co-ordinates to UTM * using the WGS84 ellipsoid. * * @private * @param {object} ll Object literal with lat and lon properties * representing the WGS84 coordinate to be converted. * @return {object} Object literal containing the UTM value with easting, * northing, zoneNumber and zoneLetter properties, and an optional * accuracy property in digits. Returns null if the conversion failed. */ function LLtoUTM(ll) { var Lat = ll.lat; var Long = ll.lon; var a = 6378137.0; //ellip.radius; var eccSquared = 0.00669438; //ellip.eccsq; var k0 = 0.9996; var LongOrigin; var eccPrimeSquared; var N, T, C, A, M; var LatRad = degToRad(Lat); var LongRad = degToRad(Long); var LongOriginRad; var ZoneNumber; // (int) ZoneNumber = Math.floor((Long + 180) / 6) + 1; //Make sure the longitude 180.00 is in Zone 60 if (Long === 180) { ZoneNumber = 60; } // Special zone for Norway if (Lat >= 56.0 && Lat < 64.0 && Long >= 3.0 && Long < 12.0) { ZoneNumber = 32; } // Special zones for Svalbard if (Lat >= 72.0 && Lat < 84.0) { if (Long >= 0.0 && Long < 9.0) { ZoneNumber = 31; } else if (Long >= 9.0 && Long < 21.0) { ZoneNumber = 33; } else if (Long >= 21.0 && Long < 33.0) { ZoneNumber = 35; } else if (Long >= 33.0 && Long < 42.0) { ZoneNumber = 37; } } LongOrigin = (ZoneNumber - 1) * 6 - 180 + 3; //+3 puts origin // in middle of // zone LongOriginRad = degToRad(LongOrigin); eccPrimeSquared = (eccSquared) / (1 - eccSquared); N = a / Math.sqrt(1 - eccSquared * Math.sin(LatRad) * Math.sin(LatRad)); T = Math.tan(LatRad) * Math.tan(LatRad); C = eccPrimeSquared * Math.cos(LatRad) * Math.cos(LatRad); A = Math.cos(LatRad) * (LongRad - LongOriginRad); M = a * ((1 - eccSquared / 4 - 3 * eccSquared * eccSquared / 64 - 5 * eccSquared * eccSquared * eccSquared / 256) * LatRad - (3 * eccSquared / 8 + 3 * eccSquared * eccSquared / 32 + 45 * eccSquared * eccSquared * eccSquared / 1024) * Math.sin(2 * LatRad) + (15 * eccSquared * eccSquared / 256 + 45 * eccSquared * eccSquared * eccSquared / 1024) * Math.sin(4 * LatRad) - (35 * eccSquared * eccSquared * eccSquared / 3072) * Math.sin(6 * LatRad)); var UTMEasting = (k0 * N * (A + (1 - T + C) * A * A * A / 6.0 + (5 - 18 * T + T * T + 72 * C - 58 * eccPrimeSquared) * A * A * A * A * A / 120.0) + 500000.0); var UTMNorthing = (k0 * (M + N * Math.tan(LatRad) * (A * A / 2 + (5 - T + 9 * C + 4 * C * C) * A * A * A * A / 24.0 + (61 - 58 * T + T * T + 600 * C - 330 * eccPrimeSquared) * A * A * A * A * A * A / 720.0))); if (Lat < 0.0) { UTMNorthing += 10000000.0; //10000000 meter offset for // southern hemisphere } return { northing: Math.round(UTMNorthing), easting: Math.round(UTMEasting), zoneNumber: ZoneNumber, zoneLetter: getLetterDesignator(Lat) }; } /** * Converts UTM coords to lat/long, using the WGS84 ellipsoid. This is a convenience * class where the Zone can be specified as a single string eg."60N" which * is then broken down into