feat(dem): Universal analytical Jordan DEM surface model for all routes across the Kingdom
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@@ -315,39 +315,29 @@ export class MapsService {
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const localizedBaseText = this.localizeInstructionToArabic(inst.text);
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if (startIdx < endIdx) {
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let stepAscent = 0;
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let stepDescent = 0;
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const c1 = coords[startIdx];
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const c2 = coords[endIdx];
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const e1 = this.estimateElevation(c1[1], c1[0]);
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const e2 = this.estimateElevation(c2[1], c2[0]);
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const elevDiff = e2 - e1;
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const dist = Math.max(30, inst.distance || this.haversineDistance(c1[1], c1[0], c2[1], c2[0]) || 1);
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for (let i = startIdx; i < endIdx; i++) {
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const c1 = coords[i];
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const c2 = coords[i + 1];
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const e1 = this.estimateElevation(c1[1], c1[0]);
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const e2 = this.estimateElevation(c2[1], c2[0]);
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const dDiff = e2 - e1;
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if (elevDiff > 0.3) totalAscent += elevDiff;
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else if (elevDiff < -0.3) totalDescent += Math.abs(elevDiff);
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if (dDiff > 0) stepAscent += dDiff;
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else stepDescent += Math.abs(dDiff);
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}
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totalAscent += stepAscent;
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totalDescent += stepDescent;
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const dist = Math.max(40, inst.distance || 1);
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const netStepDiff = stepAscent - stepDescent;
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// Realistic slope calculation calibrated for highway/urban gradients
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const calculatedSlope = Math.round((netStepDiff / dist) * 100);
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const slopePercent = Math.max(-14, Math.min(14, calculatedSlope));
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// Grade percentage: (rise / run) * 100
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const rawSlope = (elevDiff / dist) * 100;
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const slopePercent = Math.max(-16, Math.min(16, Math.round(rawSlope)));
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if (slopePercent > maxInclinePercent) maxInclinePercent = slopePercent;
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if (slopePercent < maxDeclinePercent) maxDeclinePercent = slopePercent;
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// Warning only for truly steep inclines/declines (10% or higher)
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// Warning only for steep grades (6% or higher is standard civil road warning threshold)
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let warning_ar: string | null = null;
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if (slopePercent >= 10) {
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if (slopePercent >= 6) {
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warning_ar = `⚠️ تنبيه: صعود حاد (+${slopePercent}%)`;
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steepWarnings.push({ text: localizedBaseText, slopePercent, type: 'incline', street: inst.street_name });
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} else if (slopePercent <= -10) {
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} else if (slopePercent <= -6) {
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warning_ar = `⚠️ تنبيه: منحدر شديد (${slopePercent}%) - خفف السرعة`;
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steepWarnings.push({ text: localizedBaseText, slopePercent, type: 'decline', street: inst.street_name });
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}
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@@ -355,7 +345,7 @@ export class MapsService {
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return {
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...inst,
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slopePercent,
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elevationChangeMeters: Math.round(netStepDiff),
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elevationChangeMeters: Math.round(elevDiff),
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slopeWarning: warning_ar || undefined,
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text: warning_ar ? `${localizedBaseText} (${warning_ar})` : localizedBaseText
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};
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@@ -608,56 +598,70 @@ export class MapsService {
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}
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/**
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* High-Precision Topographic Elevation Model for Jordan
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* Continuous multi-scale terrain incorporating valley relief, ridge crests, and natural drainage slopes.
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* Universal Analytical Topographic Digital Elevation Model (DEM) for the Entire Map of Jordan.
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* Continuous, seamless mathematical surface modeling all provinces, mountain crests, valleys, and plateaus.
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*/
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private estimateElevation(lat: number, lng: number): number {
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// 1. Regional Base Elevation Surface (Western Rift to Eastern Desert)
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let baseElev = 750;
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// Rift Valley Depression (Jordan Valley / Dead Sea)
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if (lng < 35.65) {
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const riftDist = Math.max(0, Math.min(1, (35.65 - lng) / 0.15));
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const riftBottom = lat < 31.9 ? -420 : (lat < 32.3 ? -220 : -150);
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const highlandEdge = lat > 32.2 ? 1000 : (lat > 31.5 ? 900 : 1300);
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baseElev = highlandEdge - riftDist * (highlandEdge - riftBottom);
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}
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// Western Highlands (Ajloun, Balqa, West Amman, Tafila, Dana, Petra)
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else if (lng >= 35.65 && lng < 35.88) {
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if (lat >= 32.25) baseElev = 950 + (lat - 32.25) * 150; // Ajloun / Jerash Highlands (950m - 1150m)
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else if (lat >= 31.85) baseElev = 920 + (lng - 35.75) * 400; // Balqa / West Amman (850m - 1040m)
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else if (lat >= 30.2) baseElev = 1100 + (31.85 - lat) * 150; // Shobak / Dana / Petra (1100m - 1550m)
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else baseElev = 800 - (30.2 - lat) * 700; // South towards Aqaba
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}
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// Central Urban Basin (East Amman, Zarqa, Rusaifa, Madaba, Irbid Plateau)
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else if (lng >= 35.88 && lng < 36.25) {
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if (lat >= 32.35) {
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baseElev = 580 + (lat - 32.35) * 80; // Irbid Plateau
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} else if (lat >= 32.0 && lat < 32.35) {
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// Zarqa & Sukhna Basin Topography (Parabolic valley profile with natural drainage)
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const riverAxisLat = 32.06 + (lng - 36.05) * 0.65;
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const distFromRiverKm = Math.abs(lat - riverAxisLat) * 111.32;
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// Parabolic rise from riverbed (530m) up to surrounding hills (660m)
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const valleyRelief = 120 * (1 - Math.exp(-Math.pow(distFromRiverKm / 1.5, 2)));
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const longitudinalSlope = (32.15 - lat) * 60; // Slopes downwards northwards
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const localHillWave = Math.sin(lat * 80.0) * 18.0 + Math.cos(lng * 90.0) * 14.0;
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baseElev = 540 + valleyRelief + longitudinalSlope + localHillWave;
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} else if (lat >= 31.85 && lat < 32.0) {
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// Amman 7 Hills & Valleys Topography
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const localAmmanHill = Math.sin((lat - 31.95) * 120) * 45 + Math.cos((lng - 35.92) * 120) * 40;
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baseElev = 840 - (lng - 35.90) * 350 + localAmmanHill;
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} else if (lat < 31.85 && lat >= 31.6) {
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baseElev = 740 + (lat - 31.6) * 100; // Airport / Madaba plains
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} else {
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baseElev = 700;
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}
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}
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// Eastern Desert Plateau (Mafraq, Azraq, Safawi)
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else {
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baseElev = 640 + (lng - 36.25) * 20 - (lat - 32.0) * 30;
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// 1. Boundary guard (default fallback for global coordinates outside Jordan)
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if (lat < 29.0 || lat > 33.5 || lng < 34.5 || lng > 39.5) {
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return 700;
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}
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return baseElev;
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// 2. Rift Valley Axis (Wadi Araba, Dead Sea, Jordan Valley)
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// The rift axis runs along a slightly tilted meridian (Lng ~35.56 in North, ~35.00 in South)
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const riftLng = 35.00 + (lat - 29.5) * (35.56 - 35.00) / (33.0 - 29.5);
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const distFromRiftLng = lng - riftLng; // Negative = West of rift, Positive = East of rift
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// Elevation along the Rift Valley floor
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let riftFloorElev: number;
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if (lat >= 32.7) riftFloorElev = -200 + (lat - 32.7) * 200; // Sea of Galilee / Yarmouk (-200m to 0m)
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else if (lat >= 31.5) riftFloorElev = -430 + Math.pow((lat - 31.5) / 1.2, 2) * 230; // Dead Sea to Deir Alla (-430m to -200m)
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else if (lat >= 30.5) riftFloorElev = -430 + (31.5 - lat) * 450; // Dead Sea south to Gharandal (-430m to +20m)
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else riftFloorElev = 20 + (lat - 29.5) * 80; // Wadi Araba to Aqaba (+20m to +100m)
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// Crest Elevation of the Eastern Mountain Ridge (Ajloun -> Balqa -> Karak -> Tafila -> Shobak -> Ras En Naqb)
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let highlandCrestElev: number;
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const crestDistanceDeg = 0.28; // Distance in degrees from Rift axis to the mountain crest (~28 km)
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if (lat >= 32.2) highlandCrestElev = 1050 + (lat - 32.2) * 100; // Ajloun / Jerash (1050m - 1200m)
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else if (lat >= 31.8) highlandCrestElev = 980 + (lat - 31.8) * 150; // Salt / West Amman (980m - 1040m)
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else if (lat >= 31.3) highlandCrestElev = 820 + (lat - 31.3) * 200; // Madaba / Central (820m - 920m)
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else if (lat >= 30.7) highlandCrestElev = 1100 + (31.3 - lat) * 400; // Karak / Tafila (1100m - 1340m)
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else if (lat >= 29.9) highlandCrestElev = 1450 + (30.7 - lat) * 150; // Dana / Shobak / Ras En Naqb (1450m - 1570m)
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else highlandCrestElev = 850 - (29.9 - lat) * 800; // Drop to Aqaba Mountains
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// 3. Physical Cross-Section Profile across Jordan (East-West Topography)
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let elev: number;
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if (distFromRiftLng <= 0) {
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// In the Rift or Western escarpment
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const wFraction = Math.min(1, Math.abs(distFromRiftLng) / 0.15);
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elev = riftFloorElev + (700 - riftFloorElev) * (wFraction * wFraction);
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} else if (distFromRiftLng <= crestDistanceDeg) {
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// Steep ascent from Rift Valley floor to Mountain Crest
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const ascentFraction = distFromRiftLng / crestDistanceDeg; // 0 (Rift) -> 1 (Mountain Crest)
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// S-curve steep escarpment (Sigmoid transition)
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const sCurve = Math.sin((ascentFraction - 0.5) * Math.PI) * 0.5 + 0.5;
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elev = riftFloorElev + (highlandCrestElev - riftFloorElev) * sCurve;
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} else {
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// East of Mountain Crest: Gentle slope down into the Eastern Plateaus and Basins
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const eastDistDeg = distFromRiftLng - crestDistanceDeg;
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let easternBasePlateau = 680;
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if (lat >= 32.4) easternBasePlateau = 560; // Irbid / Ramtha Plateau
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else if (lat >= 31.9) easternBasePlateau = 580; // Amman East / Zarqa Basin
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else if (lat >= 31.4) easternBasePlateau = 720; // Airport / Qatranah
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else easternBasePlateau = 850; // Maan / Southern Desert Plateau
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// Decay from Mountain Crest towards Eastern Base Plateau
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const plateauDecay = Math.exp(-eastDistDeg / 0.35);
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elev = easternBasePlateau + (highlandCrestElev - easternBasePlateau) * plateauDecay;
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// Eastern Desert Azraq depression (Lng 36.8, Lat 31.8)
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const azraqDist = Math.hypot((lat - 31.83) * 1.1, (lng - 36.82));
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if (azraqDist < 0.6) {
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elev -= (1 - azraqDist / 0.6) * 120; // Dips to ~510m in Azraq
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}
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}
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return elev;
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}
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private haversineDistance(lat1: number, lon1: number, lat2: number, lon2: number): number {
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