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Philip Sargent 2024-07-20 12:17:05 +02:00 committed by Expo on server
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scripts/convert/height_from_utm.js
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scripts/convert/utm_converter.js
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'use strict'
// This code is MIT licensed.
// use link for source:
// https://github.com/TimothyGu/utm
var K0 = 0.9996;
var E = 0.00669438;
var E2 = Math.pow(E, 2);
var E3 = Math.pow(E, 3);
var E_P2 = E / (1 - E);
var SQRT_E = Math.sqrt(1 - E);
var _E = (1 - SQRT_E) / (1 + SQRT_E);
var _E2 = Math.pow(_E, 2);
var _E3 = Math.pow(_E, 3);
var _E4 = Math.pow(_E, 4);
var _E5 = Math.pow(_E, 5);
var M1 = 1 - E / 4 - 3 * E2 / 64 - 5 * E3 / 256;
var M2 = 3 * E / 8 + 3 * E2 / 32 + 45 * E3 / 1024;
var M3 = 15 * E2 / 256 + 45 * E3 / 1024;
var M4 = 35 * E3 / 3072;
var P2 = 3 / 2 * _E - 27 / 32 * _E3 + 269 / 512 * _E5;
var P3 = 21 / 16 * _E2 - 55 / 32 * _E4;
var P4 = 151 / 96 * _E3 - 417 / 128 * _E5;
var P5 = 1097 / 512 * _E4;
var R = 6378137;
var ZONE_LETTERS = 'CDEFGHJKLMNPQRSTUVWXX';
export function toLatLon(easting, northing, zoneNum, zoneLetter, northern, strict) {
strict = strict !== undefined ? strict : true;
if (!zoneLetter && northern === undefined) {
throw new Error('either zoneLetter or northern needs to be set');
} else if (zoneLetter && northern !== undefined) {
throw new Error('set either zoneLetter or northern, but not both');
}
if (strict) {
if (easting < 100000 || 1000000 <= easting) {
throw new RangeError('easting out of range (must be between 100 000 m and 999 999 m)');
}
if (northing < 0 || northing > 10000000) {
throw new RangeError('northing out of range (must be between 0 m and 10 000 000 m)');
}
}
if (zoneNum < 1 || zoneNum > 60) {
throw new RangeError('zone number out of range (must be between 1 and 60)');
}
if (zoneLetter) {
zoneLetter = zoneLetter.toUpperCase();
if (zoneLetter.length !== 1 || ZONE_LETTERS.indexOf(zoneLetter) === -1) {
throw new RangeError('zone letter out of range (must be between C and X)');
}
northern = zoneLetter >= 'N';
}
var x = easting - 500000;
var y = northing;
if (!northern) y -= 1e7;
var m = y / K0;
var mu = m / (R * M1);
var pRad = mu +
P2 * Math.sin(2 * mu) +
P3 * Math.sin(4 * mu) +
P4 * Math.sin(6 * mu) +
P5 * Math.sin(8 * mu);
var pSin = Math.sin(pRad);
var pSin2 = Math.pow(pSin, 2);
var pCos = Math.cos(pRad);
var pTan = Math.tan(pRad);
var pTan2 = Math.pow(pTan, 2);
var pTan4 = Math.pow(pTan, 4);
var epSin = 1 - E * pSin2;
var epSinSqrt = Math.sqrt(epSin);
var n = R / epSinSqrt;
var r = (1 - E) / epSin;
var c = _E * pCos * pCos;
var c2 = c * c;
var d = x / (n * K0);
var d2 = Math.pow(d, 2);
var d3 = Math.pow(d, 3);
var d4 = Math.pow(d, 4);
var d5 = Math.pow(d, 5);
var d6 = Math.pow(d, 6);
var latitude = pRad - (pTan / r) *
(d2 / 2 -
d4 / 24 * (5 + 3 * pTan2 + 10 * c - 4 * c2 - 9 * E_P2)) +
d6 / 720 * (61 + 90 * pTan2 + 298 * c + 45 * pTan4 - 252 * E_P2 - 3 * c2);
var longitude = (d -
d3 / 6 * (1 + 2 * pTan2 + c) +
d5 / 120 * (5 - 2 * c + 28 * pTan2 - 3 * c2 + 8 * E_P2 + 24 * pTan4)) / pCos;
return {
latitude: toDegrees(latitude),
longitude: toDegrees(longitude) + zoneNumberToCentralLongitude(zoneNum)
};
}
export function fromLatLon(latitude, longitude, forceZoneNum) {
if (latitude > 84 || latitude < -80) {
throw new RangeError('latitude out of range (must be between 80 deg S and 84 deg N)');
}
if (longitude > 180 || longitude < -180) {
throw new RangeError('longitude out of range (must be between 180 deg W and 180 deg E)');
}
var latRad = toRadians(latitude);
var latSin = Math.sin(latRad);
var latCos = Math.cos(latRad);
var latTan = Math.tan(latRad);
var latTan2 = Math.pow(latTan, 2);
var latTan4 = Math.pow(latTan, 4);
var zoneNum;
if (forceZoneNum === undefined) {
zoneNum = latLonToZoneNumber(latitude, longitude);
} else {
zoneNum = forceZoneNum;
}
var zoneLetter = latitudeToZoneLetter(latitude);
var lonRad = toRadians(longitude);
var centralLon = zoneNumberToCentralLongitude(zoneNum);
var centralLonRad = toRadians(centralLon);
var n = R / Math.sqrt(1 - E * latSin * latSin);
var c = E_P2 * latCos * latCos;
var a = latCos * (lonRad - centralLonRad);
var a2 = Math.pow(a, 2);
var a3 = Math.pow(a, 3);
var a4 = Math.pow(a, 4);
var a5 = Math.pow(a, 5);
var a6 = Math.pow(a, 6);
var m = R * (M1 * latRad -
M2 * Math.sin(2 * latRad) +
M3 * Math.sin(4 * latRad) -
M4 * Math.sin(6 * latRad));
var easting = K0 * n * (a +
a3 / 6 * (1 - latTan2 + c) +
a5 / 120 * (5 - 18 * latTan2 + latTan4 + 72 * c - 58 * E_P2)) + 500000;
var northing = K0 * (m + n * latTan * (a2 / 2 +
a4 / 24 * (5 - latTan2 + 9 * c + 4 * c * c) +
a6 / 720 * (61 - 58 * latTan2 + latTan4 + 600 * c - 330 * E_P2)));
if (latitude < 0) northing += 1e7;
return {
easting: easting,
northing: northing,
zoneNum: zoneNum,
zoneLetter: zoneLetter
};
}
function latitudeToZoneLetter(latitude) {
if (-80 <= latitude && latitude <= 84) {
return ZONE_LETTERS[Math.floor((latitude + 80) / 8)];
} else {
return null;
}
}
function latLonToZoneNumber(latitude, longitude) {
if (56 <= latitude && latitude < 64 && 3 <= longitude && longitude < 12) return 32;
if (72 <= latitude && latitude <= 84 && longitude >= 0) {
if (longitude < 9) return 31;
if (longitude < 21) return 33;
if (longitude < 33) return 35;
if (longitude < 42) return 37;
}
return Math.floor((longitude + 180) / 6) + 1;
}
function zoneNumberToCentralLongitude(zoneNum) {
return (zoneNum - 1) * 6 - 180 + 3;
}
function toDegrees(rad) {
return rad / Math.PI * 180;
}
function toRadians(deg) {
return deg * Math.PI / 180;
}