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'use strict'
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// This code is MIT licensed.
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// use link for source:
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// https://github.com/TimothyGu/utm
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var K0 = 0.9996;
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var E = 0.00669438;
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var E2 = Math.pow(E, 2);
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var E3 = Math.pow(E, 3);
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var E_P2 = E / (1 - E);
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var SQRT_E = Math.sqrt(1 - E);
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var _E = (1 - SQRT_E) / (1 + SQRT_E);
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var _E2 = Math.pow(_E, 2);
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var _E3 = Math.pow(_E, 3);
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var _E4 = Math.pow(_E, 4);
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var _E5 = Math.pow(_E, 5);
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var M1 = 1 - E / 4 - 3 * E2 / 64 - 5 * E3 / 256;
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var M2 = 3 * E / 8 + 3 * E2 / 32 + 45 * E3 / 1024;
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var M3 = 15 * E2 / 256 + 45 * E3 / 1024;
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var M4 = 35 * E3 / 3072;
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var P2 = 3 / 2 * _E - 27 / 32 * _E3 + 269 / 512 * _E5;
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var P3 = 21 / 16 * _E2 - 55 / 32 * _E4;
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var P4 = 151 / 96 * _E3 - 417 / 128 * _E5;
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var P5 = 1097 / 512 * _E4;
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var R = 6378137;
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var ZONE_LETTERS = 'CDEFGHJKLMNPQRSTUVWXX';
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export function toLatLon(easting, northing, zoneNum, zoneLetter, northern, strict) {
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strict = strict !== undefined ? strict : true;
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if (!zoneLetter && northern === undefined) {
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throw new Error('either zoneLetter or northern needs to be set');
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} else if (zoneLetter && northern !== undefined) {
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throw new Error('set either zoneLetter or northern, but not both');
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}
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if (strict) {
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if (easting < 100000 || 1000000 <= easting) {
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throw new RangeError('easting out of range (must be between 100 000 m and 999 999 m)');
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}
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if (northing < 0 || northing > 10000000) {
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throw new RangeError('northing out of range (must be between 0 m and 10 000 000 m)');
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}
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}
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if (zoneNum < 1 || zoneNum > 60) {
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throw new RangeError('zone number out of range (must be between 1 and 60)');
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}
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if (zoneLetter) {
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zoneLetter = zoneLetter.toUpperCase();
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if (zoneLetter.length !== 1 || ZONE_LETTERS.indexOf(zoneLetter) === -1) {
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throw new RangeError('zone letter out of range (must be between C and X)');
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}
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northern = zoneLetter >= 'N';
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}
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var x = easting - 500000;
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var y = northing;
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if (!northern) y -= 1e7;
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var m = y / K0;
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var mu = m / (R * M1);
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var pRad = mu +
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P2 * Math.sin(2 * mu) +
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P3 * Math.sin(4 * mu) +
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P4 * Math.sin(6 * mu) +
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P5 * Math.sin(8 * mu);
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var pSin = Math.sin(pRad);
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var pSin2 = Math.pow(pSin, 2);
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var pCos = Math.cos(pRad);
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var pTan = Math.tan(pRad);
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var pTan2 = Math.pow(pTan, 2);
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var pTan4 = Math.pow(pTan, 4);
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var epSin = 1 - E * pSin2;
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var epSinSqrt = Math.sqrt(epSin);
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var n = R / epSinSqrt;
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var r = (1 - E) / epSin;
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var c = _E * pCos * pCos;
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var c2 = c * c;
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var d = x / (n * K0);
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var d2 = Math.pow(d, 2);
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var d3 = Math.pow(d, 3);
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var d4 = Math.pow(d, 4);
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var d5 = Math.pow(d, 5);
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var d6 = Math.pow(d, 6);
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var latitude = pRad - (pTan / r) *
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(d2 / 2 -
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d4 / 24 * (5 + 3 * pTan2 + 10 * c - 4 * c2 - 9 * E_P2)) +
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d6 / 720 * (61 + 90 * pTan2 + 298 * c + 45 * pTan4 - 252 * E_P2 - 3 * c2);
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var longitude = (d -
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d3 / 6 * (1 + 2 * pTan2 + c) +
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d5 / 120 * (5 - 2 * c + 28 * pTan2 - 3 * c2 + 8 * E_P2 + 24 * pTan4)) / pCos;
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return {
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latitude: toDegrees(latitude),
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longitude: toDegrees(longitude) + zoneNumberToCentralLongitude(zoneNum)
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};
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}
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export function fromLatLon(latitude, longitude, forceZoneNum) {
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if (latitude > 84 || latitude < -80) {
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throw new RangeError('latitude out of range (must be between 80 deg S and 84 deg N)');
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}
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if (longitude > 180 || longitude < -180) {
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throw new RangeError('longitude out of range (must be between 180 deg W and 180 deg E)');
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}
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var latRad = toRadians(latitude);
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var latSin = Math.sin(latRad);
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var latCos = Math.cos(latRad);
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var latTan = Math.tan(latRad);
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var latTan2 = Math.pow(latTan, 2);
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var latTan4 = Math.pow(latTan, 4);
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var zoneNum;
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if (forceZoneNum === undefined) {
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zoneNum = latLonToZoneNumber(latitude, longitude);
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} else {
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zoneNum = forceZoneNum;
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}
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var zoneLetter = latitudeToZoneLetter(latitude);
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var lonRad = toRadians(longitude);
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var centralLon = zoneNumberToCentralLongitude(zoneNum);
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var centralLonRad = toRadians(centralLon);
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var n = R / Math.sqrt(1 - E * latSin * latSin);
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var c = E_P2 * latCos * latCos;
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var a = latCos * (lonRad - centralLonRad);
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var a2 = Math.pow(a, 2);
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var a3 = Math.pow(a, 3);
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var a4 = Math.pow(a, 4);
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var a5 = Math.pow(a, 5);
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var a6 = Math.pow(a, 6);
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var m = R * (M1 * latRad -
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M2 * Math.sin(2 * latRad) +
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M3 * Math.sin(4 * latRad) -
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M4 * Math.sin(6 * latRad));
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var easting = K0 * n * (a +
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a3 / 6 * (1 - latTan2 + c) +
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a5 / 120 * (5 - 18 * latTan2 + latTan4 + 72 * c - 58 * E_P2)) + 500000;
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var northing = K0 * (m + n * latTan * (a2 / 2 +
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a4 / 24 * (5 - latTan2 + 9 * c + 4 * c * c) +
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a6 / 720 * (61 - 58 * latTan2 + latTan4 + 600 * c - 330 * E_P2)));
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if (latitude < 0) northing += 1e7;
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return {
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easting: easting,
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northing: northing,
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zoneNum: zoneNum,
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zoneLetter: zoneLetter
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};
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}
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function latitudeToZoneLetter(latitude) {
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if (-80 <= latitude && latitude <= 84) {
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return ZONE_LETTERS[Math.floor((latitude + 80) / 8)];
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} else {
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return null;
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}
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}
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function latLonToZoneNumber(latitude, longitude) {
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if (56 <= latitude && latitude < 64 && 3 <= longitude && longitude < 12) return 32;
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if (72 <= latitude && latitude <= 84 && longitude >= 0) {
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if (longitude < 9) return 31;
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if (longitude < 21) return 33;
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if (longitude < 33) return 35;
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if (longitude < 42) return 37;
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}
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return Math.floor((longitude + 180) / 6) + 1;
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}
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function zoneNumberToCentralLongitude(zoneNum) {
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return (zoneNum - 1) * 6 - 180 + 3;
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}
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function toDegrees(rad) {
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return rad / Math.PI * 180;
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}
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function toRadians(deg) {
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return deg * Math.PI / 180;
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}
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