175 lines
6.0 KiB
Dart
175 lines
6.0 KiB
Dart
import 'dart:math' as math;
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import 'package:intaleq_maps/intaleq_maps.dart';
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/// Military Coordinates Utility (WGS84 <-> UTM Zone 36N & MGRS Grid)
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/// Specifically optimized for Jordan & Levantine military operations (Zone 36N / 37N)
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class MilitaryGridUtils {
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MilitaryGridUtils._();
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static const double _a = 6378137.0; // WGS84 semi-major axis
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static const double _f = 1 / 298.257223563; // WGS84 flattening
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static const double _b = _a * (1.0 - _f);
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static const double _eSq = (_a * _a - _b * _b) / (_a * _a);
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static const double _ePrimeSq = (_a * _a - _b * _b) / (_b * _b);
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static const double _k0 = 0.9996; // UTM scale factor
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/// Convert WGS84 Lat/Lng to UTM Zone 36N Easting (شرقيات) and Northing (شماليات)
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static MilitaryCoordinates fromLatLng(LatLng latLng, {int zone = 36}) {
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final lat = latLng.latitude;
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final lng = latLng.longitude;
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final latRad = lat * (math.pi / 180.0);
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final lngRad = lng * (math.pi / 180.0);
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final centralMeridianDeg = (zone - 1) * 6 - 180 + 3;
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final centralMeridianRad = centralMeridianDeg * (math.pi / 180.0);
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final n = _a / math.sqrt(1.0 - _eSq * math.sin(latRad) * math.sin(latRad));
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final t = math.tan(latRad) * math.tan(latRad);
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final c = _ePrimeSq * math.cos(latRad) * math.cos(latRad);
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final aCoeff = math.cos(latRad) * (lngRad - centralMeridianRad);
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final m = _a *
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((1.0 -
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_eSq / 4.0 -
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3.0 * _eSq * _eSq / 64.0 -
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5.0 * _eSq * _eSq * _eSq / 256.0) *
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latRad -
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(3.0 * _eSq / 8.0 +
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3.0 * _eSq * _eSq / 32.0 +
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45.0 * _eSq * _eSq * _eSq / 1024.0) *
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math.sin(2.0 * latRad) +
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(15.0 * _eSq * _eSq / 256.0 +
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45.0 * _eSq * _eSq * _eSq / 1024.0) *
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math.sin(4.0 * latRad) -
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(35.0 * _eSq * _eSq * _eSq / 3072.0) * math.sin(6.0 * latRad));
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final easting = 500000.0 +
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_k0 *
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n *
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(aCoeff +
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(1.0 - t + c) * math.pow(aCoeff, 3) / 6.0 +
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(5.0 - 18.0 * t + t * t + 72.0 * c - 58.0 * _ePrimeSq) *
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math.pow(aCoeff, 5) /
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120.0);
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final northing = _k0 *
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(m +
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n *
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math.tan(latRad) *
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(aCoeff * aCoeff / 2.0 +
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(5.0 - t + 9.0 * c + 4.0 * c * c) *
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math.pow(aCoeff, 4) /
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24.0 +
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(61.0 - 58.0 * t + t * t + 600.0 * c - 330.0 * _ePrimeSq) *
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math.pow(aCoeff, 6) /
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720.0));
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return MilitaryCoordinates(
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lat: lat,
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lng: lng,
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easting: easting,
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northing: northing,
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zone: zone,
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);
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}
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/// Convert UTM Zone 36N Easting (شرقيات) and Northing (شماليات) to WGS84 Lat/Lng
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static LatLng toLatLng({
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required double easting,
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required double northing,
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int zone = 36,
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}) {
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final e1 = (1.0 - math.sqrt(1.0 - _eSq)) / (1.0 + math.sqrt(1.0 - _eSq));
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final x = easting - 500000.0;
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final y = northing;
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final m = y / _k0;
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final mu = m /
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(_a *
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(1.0 -
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_eSq / 4.0 -
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3.0 * _eSq * _eSq / 64.0 -
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5.0 * _eSq * _eSq * _eSq / 256.0));
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final phi1Rad = mu +
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(3.0 * e1 / 2.0 - 27.0 * math.pow(e1, 3) / 32.0) * math.sin(2.0 * mu) +
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(21.0 * e1 * e1 / 16.0 - 55.0 * math.pow(e1, 4) / 32.0) *
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math.sin(4.0 * mu) +
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(151.0 * math.pow(e1, 3) / 96.0) * math.sin(6.0 * mu) +
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(1097.0 * math.pow(e1, 4) / 512.0) * math.sin(8.0 * mu);
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final n1 = _a /
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math.sqrt(1.0 - _eSq * math.sin(phi1Rad) * math.sin(phi1Rad));
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final t1 = math.tan(phi1Rad) * math.tan(phi1Rad);
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final c1 = _ePrimeSq * math.cos(phi1Rad) * math.cos(phi1Rad);
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final r1 = _a *
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(1.0 - _eSq) /
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math.pow(1.0 - _eSq * math.sin(phi1Rad) * math.sin(phi1Rad), 1.5);
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final d = x / (n1 * _k0);
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final latRad = phi1Rad -
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(n1 * math.tan(phi1Rad) / r1) *
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(d * d / 2.0 -
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(5.0 + 3.0 * t1 + 10.0 * c1 - 4.0 * c1 * c1 - 9.0 * _ePrimeSq) *
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math.pow(d, 4) /
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24.0 +
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(61.0 +
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90.0 * t1 +
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298.0 * c1 +
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45.0 * t1 * t1 -
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252.0 * _ePrimeSq -
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3.0 * c1 * c1) *
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math.pow(d, 6) /
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720.0);
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final centralMeridianDeg = (zone - 1) * 6 - 180 + 3;
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final centralMeridianRad = centralMeridianDeg * (math.pi / 180.0);
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final lngRad = centralMeridianRad +
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(d -
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(1.0 + 2.0 * t1 + c1) * math.pow(d, 3) / 6.0 +
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(5.0 -
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2.0 * c1 +
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28.0 * t1 -
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3.0 * c1 * c1 +
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8.0 * _ePrimeSq +
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24.0 * t1 * t1) *
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math.pow(d, 5) /
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120.0) /
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math.cos(phi1Rad);
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return LatLng(
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latRad * (180.0 / math.pi),
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lngRad * (180.0 / math.pi),
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);
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}
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}
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class MilitaryCoordinates {
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final double lat;
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final double lng;
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final double easting;
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final double northing;
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final int zone;
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MilitaryCoordinates({
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required this.lat,
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required this.lng,
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required this.easting,
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required this.northing,
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this.zone = 36,
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});
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/// Short 6-digit Easting / Northing string for tactical voice transmission (e.g. 845 412)
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String get shortGrid =>
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'${(easting.round() % 100000 ~/ 100).toString().padLeft(3, '0')} ${(northing.round() % 100000 ~/ 100).toString().padLeft(3, '0')}';
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/// Standard Arabic military format (شرقيات: 784520 م • شماليات: 3541280 م)
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String get arabicFullFormat =>
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'شرقيات: ${easting.round()} م • شماليات: ${northing.round()} م (${zone}N)';
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String get eastingStr => '${easting.round()}';
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String get northingStr => '${northing.round()}';
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}
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