import { INF, MAP_H, MAP_W, SIZE, clamp, createMapFields, fbm, hash2, indexOf, inside, lerp, pickEntities, rand, smoothstep, valueNoise } from "./mapUtils.js"; import { aStar, extractMaskBorder, extractRegionBorderSegments, generateRegionalPrefectures, makePrefectureMask, neighbors8, } from "./mapGeneratorHelpers.js"; export function generateTerrainAndRivers(seed) { let prefectureMask; let prefectureBorder; const { elevation, moisture, slope, sea, river, floodplain, plain, agriculture, ridgeField, valleyField, basinField, coastalLowland, flowAccum, erosionField, depositionField, flowTo, portSuitability, crossingSuitability, passSuitability, } = createMapFields(); const coastAngle = rand(seed, 11) * Math.PI * 2; const coastX = Math.cos(coastAngle); const coastY = Math.sin(coastAngle); const coastThreshold = 0.22 + rand(seed, 12) * 0.22; const coastStrength = 0.15 + rand(seed, 13) * 0.23; const seaLevel = 0.285; const mountainBlobs = Array.from({ length: 2 + Math.floor(rand(seed, 98) * 3) }, (_, i) => ({ x: rand(seed, 100 + i) * MAP_W, y: rand(seed, 200 + i) * MAP_H, r: 10 + rand(seed, 300 + i) * 24, h: 0.08 + rand(seed, 400 + i) * 0.16, })); const ridgeBands = Array.from({ length: 5 + Math.floor(rand(seed, 97) * 4) }, (_, i) => ({ x: rand(seed, 1500 + i) * MAP_W, y: rand(seed, 1600 + i) * MAP_H, angle: rand(seed, 1700 + i) * Math.PI * 2, width: 3 + rand(seed, 1800 + i) * 7, length: 42 + rand(seed, 1900 + i) * 92, h: 0.11 + rand(seed, 2000 + i) * 0.22, })); for (let y = 0; y < MAP_H; y++) { for (let x = 0; x < MAP_W; x++) { const nx = x / (MAP_W - 1) - 0.5; const ny = y / (MAP_H - 1) - 0.5; const i = indexOf(x, y); const warpX = (fbm(x * 0.62 + 180, y * 0.62 - 90, seed + 3101) - 0.5) * 13; const warpY = (fbm(x * 0.62 - 70, y * 0.62 + 210, seed + 3201) - 0.5) * 13; const wx = x + warpX; const wy = y + warpY; let mountains = 0; for (const blob of mountainBlobs) { const d = Math.hypot(wx - blob.x, wy - blob.y) / blob.r; mountains += Math.exp(-d * d * 2.35) * blob.h; } let ridges = 0; for (const ridge of ridgeBands) { const dx = wx - ridge.x; const dy = wy - ridge.y; const along = dx * Math.cos(ridge.angle) + dy * Math.sin(ridge.angle); const perp = -dx * Math.sin(ridge.angle) + dy * Math.cos(ridge.angle); const lengthFade = smoothstep(1 - Math.abs(along) / ridge.length); const serration = 0.72 + valueNoise(wx + along * 0.15, wy + perp * 0.15, seed + 2220, 8) * 0.56; ridges += Math.exp(-(perp * perp) / (ridge.width * ridge.width)) * lengthFade * ridge.h * serration; } const directionalCoast = nx * coastX + ny * coastY; const coastWave = (fbm(wx * 0.72, wy * 0.72, seed + 2222) - 0.5) * 0.12 + (valueNoise(wx, wy, seed + 2233, 18) - 0.5) * 0.08; const coastLower = smoothstep((directionalCoast + coastWave - coastThreshold) / 0.26); // Four terrain-noise bands from continental structure to fine surface roughness. const terrainLarge = fbm(wx * 0.36 + 40, wy * 0.36 - 60, seed + 710); const terrainRegional = fbm(wx * 0.95 + 80, wy * 0.95 - 20, seed + 777); const terrainLocal = fbm(wx * 2.05 + 17, wy * 2.05 - 31, seed + 1777); const terrainFine = valueNoise(wx * 2.9 + 11, wy * 2.9 - 19, seed + 2444, 4.5); const fineDissection = Math.abs(terrainLocal - 0.5) * 0.08 + Math.abs(terrainFine - 0.5) * 0.035; const basin = 0.1 * Math.sin((nx * 3.1 + ny * 1.7 + rand(seed, 15)) * Math.PI) - 0.045 * Math.cos((nx * 5.2 - ny * 3.6 + rand(seed, 16)) * Math.PI); const rawElevation = 0.30 * terrainLarge + 0.235 * terrainRegional + 0.105 * terrainLocal + 0.055 * terrainFine + mountains * 0.54 + ridges * 1.22 + basin + fineDissection - coastLower * (coastStrength + 0.19) + 0.055; elevation[i] = clamp(0.5 + (rawElevation - 0.5) * 1.26); ridgeField[i] = clamp(ridges * 4.8 + Math.max(0, mountains - 0.10) * 0.95 + fineDissection * 2.0); basinField[i] = clamp(Math.max(0, -basin) * 3.0 + (1 - coastLower) * Math.max(0, 0.42 - elevation[i]) * 0.7); moisture[i] = clamp(0.44 * fbm(wx + 400, wy - 200, seed + 333) + 0.18 * valueNoise(wx, wy, seed + 343, 11) + 0.22 * (1 - Math.abs(ny * 1.7)) + 0.28 * coastLower - Math.max(0, elevation[i] - 0.62) * 0.22); } } for (let y = 0; y < MAP_H; y++) { for (let x = 0; x < MAP_W; x++) { const i = indexOf(x, y); const nx = x / (MAP_W - 1) - 0.5; const ny = y / (MAP_H - 1) - 0.5; const directionalCoast = nx * coastX + ny * coastY; const coastNoise = (fbm(x * 0.95, y * 0.95, seed + 2222) - 0.5) * 0.14 + (valueNoise(x, y, seed + 2233, 13) - 0.5) * 0.08; const oceanSide = directionalCoast + coastNoise > coastThreshold + 0.055; if (elevation[i] < seaLevel || oceanSide) sea[i] = 1; if (sea[i]) elevation[i] = Math.min(elevation[i], seaLevel - 0.018 + hash2(x, y, seed + 2311) * 0.012); } } // Align coastal elevation with the sea mask. This prevents artificial one-cell cliffs // when the directional coastline cuts through a high terrain cell. for (let y = 0; y < MAP_H; y++) { for (let x = 0; x < MAP_W; x++) { const i = indexOf(x, y); if (sea[i]) continue; let nearestSea = INF; for (let dy = -7; dy <= 7; dy++) { for (let dx = -7; dx <= 7; dx++) { const nx = x + dx; const ny = y + dy; if (!inside(nx, ny) || !sea[indexOf(nx, ny)]) continue; nearestSea = Math.min(nearestSea, Math.hypot(dx, dy)); } } if (nearestSea <= 7) { const coastalCap = seaLevel + 0.018 + nearestSea * 0.028 + Math.max(0, fbm(x * 1.4, y * 1.4, seed + 2350) - 0.5) * 0.022; elevation[i] = Math.min(elevation[i], coastalCap); coastalLowland[i] = clamp(1 - nearestSea / 7); } } } for (let y = 1; y < MAP_H - 1; y++) { for (let x = 1; x < MAP_W - 1; x++) { const gx = elevation[indexOf(x + 1, y)] - elevation[indexOf(x - 1, y)]; const gy = elevation[indexOf(x, y + 1)] - elevation[indexOf(x, y - 1)]; slope[indexOf(x, y)] = clamp(Math.sqrt(gx * gx + gy * gy) * 10.5); } } const landOrder = []; for (let y = 1; y < MAP_H - 1; y++) { for (let x = 1; x < MAP_W - 1; x++) { const i = indexOf(x, y); if (sea[i]) continue; let low = i; let best = elevation[i] + 0.012 * hash2(x, y, seed + 2468); let localMean = 0; let localMax = elevation[i]; let localMin = elevation[i]; let nCount = 0; for (const [nx, ny] of neighbors8(x, y)) { const ni = indexOf(nx, ny); const ev = elevation[ni]; localMean += ev; localMax = Math.max(localMax, ev); localMin = Math.min(localMin, ev); nCount++; const directed = ev + 0.008 * hash2(nx, ny, seed + 2469); if (directed < best || sea[ni]) { best = directed; low = ni; } } if (low !== i) flowTo[i] = low; localMean /= Math.max(1, nCount); const hollow = Math.max(0, localMean - elevation[i]); const relief = localMax - localMin; valleyField[i] = clamp(hollow * 8.4 + Math.max(0, 0.42 - elevation[i]) * 0.32 + moisture[i] * 0.08 - ridgeField[i] * 0.18); basinField[i] = clamp(basinField[i] + hollow * 2.4 + (relief < 0.055 && elevation[i] < 0.55 ? 0.18 : 0)); flowAccum[i] = 0.7 + moisture[i] * 0.7 + valleyField[i] * 0.55; landOrder.push(i); } } landOrder.sort((a, b) => elevation[b] - elevation[a]); for (const i of landOrder) { const to = flowTo[i]; if (to >= 0 && to !== i) flowAccum[to] += flowAccum[i] * 0.82; } let maxFlowAccum = 0; for (let i = 0; i < SIZE; i++) if (!sea[i]) maxFlowAccum = Math.max(maxFlowAccum, flowAccum[i]); if (maxFlowAccum > 0) { for (let i = 0; i < SIZE; i++) flowAccum[i] = clamp(flowAccum[i] / maxFlowAccum); } for (let i = 0; i < SIZE; i++) { if (!sea[i]) valleyField[i] = clamp(valleyField[i] * 0.68 + Math.pow(flowAccum[i], 0.55) * 0.48); } // First-order fluvial shaping: cut valley floors on steep/high-flow cells and // deposit gently in coastal lowlands and basin floors. This gives visible // river valleys without destroying the macro terrain structure. const shapedElevation = new Float32Array(elevation); for (let y = 1; y < MAP_H - 1; y++) { for (let x = 1; x < MAP_W - 1; x++) { const i = indexOf(x, y); if (sea[i]) continue; const flow = Math.pow(flowAccum[i], 0.46); const incisionNoise = 0.82 + hash2(x, y, seed + 8120) * 0.36; const steepValley = clamp(flow * (0.058 + slope[i] * 0.21 + ridgeField[i] * 0.046) * incisionNoise); const lateralCut = clamp(Math.pow(flowAccum[i], 0.66) * valleyField[i] * 0.078); const lowSettling = clamp(flow * (coastalLowland[i] * 0.036 + basinField[i] * 0.020 + (elevation[i] < 0.40 ? 0.012 : 0)) * (1 - slope[i] * 0.82)); erosionField[i] = steepValley + lateralCut; depositionField[i] = lowSettling; shapedElevation[i] = clamp(elevation[i] - steepValley - lateralCut + lowSettling * 0.72, seaLevel + 0.006, 1); } } elevation.set(shapedElevation); for (let y = 1; y < MAP_H - 1; y++) { for (let x = 1; x < MAP_W - 1; x++) { const i = indexOf(x, y); if (sea[i]) continue; const gx = elevation[indexOf(x + 1, y)] - elevation[indexOf(x - 1, y)]; const gy = elevation[indexOf(x, y + 1)] - elevation[indexOf(x, y - 1)]; slope[i] = clamp(Math.sqrt(gx * gx + gy * gy) * 10.5); valleyField[i] = clamp(valleyField[i] + erosionField[i] * 2.1 + depositionField[i] * 0.8 - ridgeField[i] * 0.06); basinField[i] = clamp(basinField[i] + depositionField[i] * 1.6); } } const sourceCandidates = []; for (let y = 4; y < MAP_H - 4; y++) { for (let x = 4; x < MAP_W - 4; x++) { const i = indexOf(x, y); if (sea[i]) continue; const score = elevation[i] * 0.38 + moisture[i] * 0.24 + ridgeField[i] * 0.08 + flowAccum[i] * 0.56 + valleyField[i] * 0.28 + hash2(x, y, seed + 9000) * 0.06; if (elevation[i] > 0.40 && elevation[i] < 0.82 && moisture[i] > 0.28 && flowAccum[i] > 0.020 && ridgeField[i] < 0.88) sourceCandidates.push({ x, y, score }); } } const sources = pickEntities(sourceCandidates, { max: 20 + Math.floor(rand(seed, 910) * 28), minDistance: 8, threshold: 0.53 + rand(seed, 911) * 0.11, seed, }); function nearestWaterGoal(from) { let bestSea = null; let bestScore = INF; for (let y = 0; y < MAP_H; y++) { for (let x = 0; x < MAP_W; x++) { const i = indexOf(x, y); if (!sea[i]) continue; const d = Math.hypot(x - from.x, y - from.y); const score = d - coastalLowland[indexOf(Math.max(0, Math.min(MAP_W - 1, from.x)), Math.max(0, Math.min(MAP_H - 1, from.y)))] * 2; if (score < bestScore) { bestScore = score; bestSea = { x, y }; } } } return bestSea; } function riverRouteCost(x, y, cx, cy) { const i = indexOf(x, y); const ci = indexOf(cx, cy); if (sea[i]) return 0.18; const uphill = Math.max(0, elevation[i] - elevation[ci]); const downhill = Math.max(0, elevation[ci] - elevation[i]); if (!sea[i] && uphill > 0.035 && flowAccum[i] < flowAccum[ci] + 0.015) return INF; return Math.max( 0.18, 1 + uphill * 86 + slope[i] * 0.38 + elevation[i] * 0.42 - downhill * 2.1 - valleyField[i] * 0.92 - flowAccum[i] * 0.72 - moisture[i] * 0.18 - coastalLowland[i] * 0.22 ); } function forceRiverToWater(path) { if (!path.length) return path; const [ex, ey] = path[path.length - 1]; if (sea[indexOf(ex, ey)]) return path; const goal = nearestWaterGoal({ x: ex, y: ey }); if (!goal) return path; const startElevation = elevation[indexOf(ex, ey)]; const tail = aStar({ x: ex, y: ey }, goal, (x, y, cx, cy) => { const i = indexOf(x, y); const ci = indexOf(cx, cy); if (!sea[i] && elevation[i] > Math.max(startElevation + 0.045, elevation[ci] + 0.030)) return INF; return riverRouteCost(x, y, cx, cy); }); if (tail.length <= 2) return path; return path.concat(tail.slice(1)); } function confluenceAnglePenalty(nx, ny, dx, dy, lengthSoFar) { if (lengthSoFar < 7 || river[indexOf(nx, ny)] < 0.24) return 0; let best = 0.16; const inLen = Math.hypot(dx, dy) || 1; for (const [rx, ry] of neighbors8(nx, ny)) { if (river[indexOf(rx, ry)] < 0.22) continue; const rdx = rx - nx; const rdy = ry - ny; const cos = clamp((dx * rdx + dy * rdy) / Math.max(0.001, inLen * Math.hypot(rdx, rdy)), -1, 1); const angle = Math.acos(cos); const shallow = angle < 0.45 ? 0.28 : 0; best = Math.min(best, Math.abs(angle - Math.PI * 0.62) * 0.045 + shallow); } return best; } function traceRiverPath(startX, startY, bonusSeed = 0) { let x = startX; let y = startY; let lastDx = 0; let lastDy = 0; const path = []; const seen = new Set(); let accum = 0; for (let step = 0; step < 600; step++) { const i = indexOf(x, y); if (seen.has(i)) break; seen.add(i); path.push([x, y]); river[i] += 0.44 + path.length / 160 + flowAccum[i] * 0.55; accum += river[i] + flowAccum[i]; if (sea[i]) break; let best = null; let bestValue = INF; const currentElevation = elevation[i]; const preferred = flowTo[i]; for (const [nx, ny] of neighbors8(x, y)) { const ni = indexOf(nx, ny); const dx = nx - x; const dy = ny - y; const drop = currentElevation - elevation[ni]; const uphill = Math.max(0, -drop); if (!sea[ni] && uphill > 0.032 && flowAccum[ni] < flowAccum[i] + 0.018) continue; let surrounding = 0; let surroundingCount = 0; for (const [vx, vy] of neighbors8(nx, ny)) { surrounding += elevation[indexOf(vx, vy)]; surroundingCount++; } const valley = Math.max(0, surrounding / Math.max(1, surroundingCount) - elevation[ni]); const sameDirection = lastDx || lastDy ? (dx * lastDx + dy * lastDy) / Math.max(0.001, Math.hypot(dx, dy) * Math.hypot(lastDx, lastDy)) : 0; const straightPenalty = Math.max(0, sameDirection) * 0.075; const turnPenalty = sameDirection < -0.35 ? 0.24 : 0; const sideSwing = Math.abs(dx * lastDy - dy * lastDx); const meanderPhase = Math.sin((path.length + bonusSeed * 0.013) * 0.73) * 0.5 + 0.5; const meander = sideSwing * (0.032 + meanderPhase * 0.026); const flowBonus = ni === preferred ? 0.62 : 0; const junctionPenalty = confluenceAnglePenalty(nx, ny, dx, dy, path.length); const noise = (hash2(nx, ny, seed + bonusSeed + step * 11) - 0.5) * 0.04; const value = elevation[ni] * 1.45 + uphill * 88 - Math.max(0, drop) * 2.05 - valley * 1.05 - valleyField[ni] * 1.72 - flowAccum[ni] * 0.94 - moisture[ni] * 0.14 - coastalLowland[ni] * 0.28 - (river[ni] > 0 ? 0.22 : 0) - flowBonus + slope[ni] * 0.04 + straightPenalty + turnPenalty + junctionPenalty * 1.35 - meander + noise - (sea[ni] ? 0.6 : 0); if (value < bestValue) { bestValue = value; best = [nx, ny, dx, dy]; } } if (!best) break; x = best[0]; y = best[1]; lastDx = best[2]; lastDy = best[3]; } const forced = forceRiverToWater(path); if (forced.length > path.length) { for (const [rx, ry] of forced.slice(path.length)) { const ri = indexOf(rx, ry); river[ri] += 0.32 + flowAccum[ri] * 0.4; accum += river[ri] + flowAccum[ri]; } } return { path: forced, accum }; } function traceSmallStreamPath(startX, startY, bonusSeed = 0) { let x = startX; let y = startY; let lastDx = 0; let lastDy = 0; const path = []; const seen = new Set(); for (let step = 0; step < 160; step++) { const i = indexOf(x, y); if (seen.has(i)) break; seen.add(i); path.push([x, y]); river[i] += 0.12 + flowAccum[i] * 0.18; if ((river[i] > 0.48 && path.length > 5) || sea[i]) break; let best = null; let bestValue = INF; for (const [nx, ny] of neighbors8(x, y)) { const ni = indexOf(nx, ny); const dx = nx - x; const dy = ny - y; const drop = elevation[i] - elevation[ni]; const sameDirection = lastDx || lastDy ? (dx * lastDx + dy * lastDy) / Math.max(0.001, Math.hypot(dx, dy) * Math.hypot(lastDx, lastDy)) : 0; const value = elevation[ni] * 1.2 + Math.max(0, -drop) * 26 - Math.max(0, drop) * 1.4 - valleyField[ni] * 1.15 - flowAccum[ni] * 0.55 - moisture[ni] * 0.12 + Math.max(0, sameDirection) * 0.04 - Math.abs(dx * lastDy - dy * lastDx) * 0.018 + (hash2(nx, ny, seed + bonusSeed + step * 13) - 0.5) * 0.05; if (value < bestValue) { bestValue = value; best = [nx, ny, dx, dy]; } } if (!best) break; x = best[0]; y = best[1]; lastDx = best[2]; lastDy = best[3]; } return path; } const riverPaths = []; const riverScores = []; for (const source of sources) { const { path, accum } = traceRiverPath(source.x, source.y, 0); if (path.length > 6) { riverPaths.push(path); riverScores.push(path.length + accum * 0.18); } } const preliminaryMainRiverCells = new Set(riverPaths.slice().sort((a, b) => b.length - a.length).slice(0, 5).flatMap((path) => path.map(([x, y]) => `${x},${y}`))); const tributarySources = pickEntities(sourceCandidates .filter((p) => !preliminaryMainRiverCells.has(`${p.x},${p.y}`)) .map((p) => ({ ...p, score: p.score + flowAccum[indexOf(p.x, p.y)] * 0.75 + valleyField[indexOf(p.x, p.y)] * 0.24 })), { max: 14 + Math.floor(rand(seed, 915) * 20), minDistance: 6, threshold: 0.45, seed: seed + 916, jitter: 0.02, }); for (const source of tributarySources) { const { path, accum } = traceRiverPath(source.x, source.y, 4000 + source.x * 7 + source.y * 11); if (path.length > 8) { riverPaths.push(path); riverScores.push(path.length * 0.7 + accum * 0.12); } } const streamPaths = []; const streamSources = pickEntities(sourceCandidates .map((p) => ({ ...p, score: valleyField[indexOf(p.x, p.y)] * 0.46 + flowAccum[indexOf(p.x, p.y)] * 0.36 + moisture[indexOf(p.x, p.y)] * 0.18 + hash2(p.x, p.y, seed + 918) * 0.05 })) .filter((p) => p.score > 0.18), { max: 22 + Math.floor(rand(seed, 919) * 20), minDistance: 4, threshold: 0.18, seed: seed + 919, jitter: 0.015, }); for (const source of streamSources) { const path = traceSmallStreamPath(source.x, source.y, 7000 + source.x * 5 + source.y * 17); if (path.length > 4) streamPaths.push(path); } if (riverPaths.length === 0 && sourceCandidates.length > 0) { const fallback = sourceCandidates.slice().sort((a, b) => b.score - a.score)[0]; let bestSea = null; let bestSeaDist = INF; for (let y = 0; y < MAP_H; y++) { for (let x = 0; x < MAP_W; x++) { if (!sea[indexOf(x, y)]) continue; const d = Math.hypot(x - fallback.x, y - fallback.y); if (d < bestSeaDist) { bestSeaDist = d; bestSea = { x, y }; } } } if (bestSea) { const fallbackPath = aStar(fallback, bestSea, (x, y, cx, cy) => { const i = indexOf(x, y); const ci = indexOf(cx, cy); if (sea[i]) return 0.25; const uphill = Math.max(0, elevation[i] - elevation[ci]) * 24; const downhill = Math.max(0, elevation[ci] - elevation[i]) * 1.8; return Math.max(0.24, 1 + uphill + slope[i] * 0.7 + elevation[i] * 0.8 - downhill - Math.min(0.55, river[i] * 0.1)); }); if (fallbackPath.length > 6) { let accum = 0; for (const [x, y] of fallbackPath) { const i = indexOf(x, y); river[i] += 0.42; accum += river[i]; } riverPaths.push(fallbackPath); riverScores.push(fallbackPath.length + accum * 0.18); } } } function sanitizeDownhillRiverPath(path, tolerance = 0.040) { if (!path || path.length < 2) return path || []; const out = [path[0]]; for (let k = 1; k < path.length; k++) { const [px, py] = out[out.length - 1]; const [x, y] = path[k]; const pi = indexOf(px, py); const i = indexOf(x, y); if (!sea[i] && elevation[i] > elevation[pi] + tolerance) break; out.push(path[k]); if (sea[i]) break; } return out.length >= 2 ? out : []; } function trimMountainHeadwaters(path) { if (!path || path.length < 4) return path || []; let start = 0; while (start < path.length - 3) { const [x, y] = path[start]; const i = indexOf(x, y); if (sea[i]) break; if (elevation[i] <= 0.72 && (valleyField[i] >= 0.18 || flowAccum[i] >= 0.05)) break; start++; } return path.slice(start); } for (let r = 0; r < riverPaths.length; r++) riverPaths[r] = sanitizeDownhillRiverPath(trimMountainHeadwaters(riverPaths[r]), 0.032); for (let r = riverPaths.length - 1; r >= 0; r--) if (riverPaths[r].length < 2) riverPaths.splice(r, 1); for (let r = 0; r < streamPaths.length; r++) streamPaths[r] = sanitizeDownhillRiverPath(trimMountainHeadwaters(streamPaths[r]), 0.026); for (let r = streamPaths.length - 1; r >= 0; r--) if (streamPaths[r].length < 2) streamPaths.splice(r, 1); river.fill(0); for (const path of riverPaths) { for (let k = 0; k < path.length; k++) { const [x, y] = path[k]; const i = indexOf(x, y); river[i] += 0.42 + k / 170 + flowAccum[i] * 0.55; } } for (const path of streamPaths) { for (let k = 0; k < path.length; k++) { const [x, y] = path[k]; const i = indexOf(x, y); river[i] += 0.11 + flowAccum[i] * 0.18; } } const expandedRiver = new Float32Array(river); for (let y = 1; y < MAP_H - 1; y++) { for (let x = 1; x < MAP_W - 1; x++) { const i = indexOf(x, y); if (river[i] <= 0) continue; for (const [nx, ny] of neighbors8(x, y)) { expandedRiver[indexOf(nx, ny)] = Math.max(expandedRiver[indexOf(nx, ny)], river[i] * 0.35); } } } river.set(expandedRiver); // Second fluvial pass uses the actual traced river network. Main channels cut // visible V-shaped valleys; lower reaches accumulate alluvial deposits. const fluvialElevation = new Float32Array(elevation); for (let y = 1; y < MAP_H - 1; y++) { for (let x = 1; x < MAP_W - 1; x++) { const i = indexOf(x, y); if (sea[i] || river[i] <= 0.02) continue; const r = clamp(river[i] / 3.4); const channelCut = clamp(Math.pow(r, 0.55) * (0.060 + slope[i] * 0.145 + ridgeField[i] * 0.038)); const valleyWiden = clamp(Math.pow(r, 0.72) * (0.020 + Math.max(0, elevation[i] - seaLevel) * 0.058 + valleyField[i] * 0.040)); const alluvium = clamp(Math.pow(r, 0.72) * (coastalLowland[i] * 0.030 + basinField[i] * 0.020 + (slope[i] < 0.10 ? 0.010 : 0))); erosionField[i] = clamp(erosionField[i] + channelCut + valleyWiden); depositionField[i] = clamp(depositionField[i] + alluvium); fluvialElevation[i] = clamp(elevation[i] - channelCut - valleyWiden + alluvium, seaLevel + 0.005, 1); valleyField[i] = clamp(valleyField[i] + r * 0.62 + channelCut * 6.4); basinField[i] = clamp(basinField[i] + alluvium * 3.2); } } // Lateral valley carving around the traced river network deepens valleys and // makes ridge/valley contrast legible at the map scale. for (const path of riverPaths) { for (const [rx, ry] of path) { const ri = indexOf(rx, ry); const r = clamp(river[ri] / 3.0); const radius = r > 0.48 ? 2 : 1; for (let dy = -radius; dy <= radius; dy++) { for (let dx = -radius; dx <= radius; dx++) { const nx = rx + dx; const ny = ry + dy; if (!inside(nx, ny)) continue; const ni = indexOf(nx, ny); if (sea[ni]) continue; const d = Math.hypot(dx, dy); if (d > radius || d === 0) continue; const weight = (radius + 0.35 - d) / (radius + 0.35); const carve = Math.max(0, weight) * (0.008 + r * 0.026) * Math.max(0.45, slope[ni] + 0.22); fluvialElevation[ni] = clamp(fluvialElevation[ni] - carve, seaLevel + 0.005, 1); erosionField[ni] = clamp(erosionField[ni] + carve * 3.0); valleyField[ni] = clamp(valleyField[ni] + carve * 12.0); } } } } // Restore rugged summit relief after strong river incision. This prevents highlands // from becoming unnaturally flat or visually concave while keeping valleys cut. for (let y = 1; y < MAP_H - 1; y++) { for (let x = 1; x < MAP_W - 1; x++) { const i = indexOf(x, y); if (sea[i]) continue; const high = clamp((fluvialElevation[i] - 0.62) / 0.26); const summit = high * clamp(ridgeField[i] * 1.4 - flowAccum[i] * 0.8); const rugged = (valueNoise(x * 2.1 + 19, y * 2.1 - 23, seed + 9661, 3.2) - 0.5) * 0.035; const uplift = summit * (0.018 + Math.max(0, rugged)); if (uplift > 0) { fluvialElevation[i] = clamp(fluvialElevation[i] + uplift, seaLevel + 0.005, 1); erosionField[i] = Math.max(0, erosionField[i] - uplift * 0.6); } } } elevation.set(fluvialElevation); // Broad alluvial/coastal/basin plains. The plain score alone is not enough; // the elevation surface must also be locally calm, otherwise every lowland // still reads as rugged terrain. Smooth only low, wet depositional cells and // leave ridges/headwaters untouched. for (let pass = 0; pass < 4; pass++) { const nextElevation = new Float32Array(elevation); for (let y = 2; y < MAP_H - 2; y++) { for (let x = 2; x < MAP_W - 2; x++) { const i = indexOf(x, y); if (sea[i]) continue; const lowland = clamp( coastalLowland[i] * 0.72 + basinField[i] * 0.54 + valleyField[i] * 0.34 + Math.pow(flowAccum[i], 0.58) * 0.24 - ridgeField[i] * 0.62 - Math.max(0, elevation[i] - 0.54) * 1.65 - slope[i] * 0.74 ); if (lowland <= 0.12) continue; let sum = 0; let weight = 0; for (let dy = -2; dy <= 2; dy++) { for (let dx = -2; dx <= 2; dx++) { const nx = x + dx; const ny = y + dy; const ni = indexOf(nx, ny); if (sea[ni]) continue; const d = Math.hypot(dx, dy); if (d > 2.25) continue; const compatible = clamp(1 - Math.abs(elevation[ni] - elevation[i]) / 0.11); const w = compatible / (1 + d); sum += elevation[ni] * w; weight += w; } } if (weight <= 0) continue; const localMean = sum / weight; const terrace = Math.round(localMean * 42) / 42; const target = lerp(localMean, terrace, 0.28); nextElevation[i] = clamp(lerp(elevation[i], target, lowland * 0.42), seaLevel + 0.006, 1); if (lowland > 0.55) { depositionField[i] = clamp(depositionField[i] + lowland * 0.018); erosionField[i] = Math.max(0, erosionField[i] - lowland * 0.012); } } } elevation.set(nextElevation); } for (let y = 1; y < MAP_H - 1; y++) { for (let x = 1; x < MAP_W - 1; x++) { const i = indexOf(x, y); if (sea[i]) continue; const gx = elevation[indexOf(x + 1, y)] - elevation[indexOf(x - 1, y)]; const gy = elevation[indexOf(x, y + 1)] - elevation[indexOf(x, y - 1)]; slope[i] = clamp(Math.sqrt(gx * gx + gy * gy) * 11.2); } } // Re-trim visible river paths after fluvial reshaping changes local elevation. for (let r = 0; r < riverPaths.length; r++) riverPaths[r] = sanitizeDownhillRiverPath(trimMountainHeadwaters(riverPaths[r]), 0.028); for (let r = riverPaths.length - 1; r >= 0; r--) if (riverPaths[r].length < 2) riverPaths.splice(r, 1); for (let r = 0; r < streamPaths.length; r++) streamPaths[r] = sanitizeDownhillRiverPath(trimMountainHeadwaters(streamPaths[r]), 0.022); for (let r = streamPaths.length - 1; r >= 0; r--) if (streamPaths[r].length < 2) streamPaths.splice(r, 1); const mainRivers = riverPaths .map((p, i) => ({ path: p, score: riverScores[i] })) .sort((a, b) => b.score - a.score) .slice(0, Math.min(6, riverPaths.length)) .map((x) => x.path); if (mainRivers.length === 0 && riverPaths.length > 0) mainRivers.push(riverPaths[0]); if (mainRivers.length === 0) { let start = null; let startScore = -INF; for (let y = 4; y < MAP_H - 4; y++) { for (let x = 4; x < MAP_W - 4; x++) { const i = indexOf(x, y); if (sea[i]) continue; const score = elevation[i] * 0.55 + moisture[i] * 0.35 - slope[i] * 0.15; if (score > startScore) { startScore = score; start = { x, y }; } } } if (start) { let goal = null; let goalDist = INF; for (let y = 0; y < MAP_H; y++) { for (let x = 0; x < MAP_W; x++) { if (!sea[indexOf(x, y)]) continue; const d = Math.hypot(x - start.x, y - start.y); if (d < goalDist) { goalDist = d; goal = { x, y }; } } } if (goal) { const fallbackPath = aStar(start, goal, (x, y, cx, cy) => { const i = indexOf(x, y); const ci = indexOf(cx, cy); if (sea[i]) return 0.2; const uphillBias = Math.max(0, elevation[i] - elevation[ci]) * 22; const downhillBias = Math.max(0, elevation[ci] - elevation[i]) * 1.7; return Math.max(0.25, 1 + uphillBias + slope[i] * 0.65 + elevation[i] * 0.8 - downhillBias); }); if (fallbackPath.length > 4) { riverPaths.push(fallbackPath); mainRivers.push(fallbackPath); for (const [x, y] of fallbackPath) river[indexOf(x, y)] += 0.4; } } } } const mainRiverCells = new Set(mainRivers.flatMap((path) => path.map(([x, y]) => `${x},${y}`))); const tributaryRivers = riverPaths.filter((path) => path.some(([x, y]) => !mainRiverCells.has(`${x},${y}`)) && !mainRivers.includes(path)); const smallStreams = streamPaths.filter((path) => path.length >= 5); prefectureMask = makePrefectureMask(seed, sea, elevation, slope, river); prefectureBorder = extractMaskBorder(prefectureMask, sea); const regionalPrefectures = generateRegionalPrefectures(seed, sea, elevation, slope, river, ridgeField, flowAccum, prefectureMask); const prefectureRegionId = regionalPrefectures.regionId; const regionalDebug = regionalPrefectures.debug; const regionalPrefectureBorders = extractRegionBorderSegments(prefectureRegionId, sea); for (let y = 1; y < MAP_H - 1; y++) { for (let x = 1; x < MAP_W - 1; x++) { const i = indexOf(x, y); if (sea[i]) continue; const low = 1 - clamp((elevation[i] - 0.28) / 0.4); const flat = 1 - slope[i]; const valleyPlain = valleyField[i] * 0.44 + basinField[i] * 0.36 + coastalLowland[i] * 0.55; plain[i] = clamp(low * 0.44 + flat * 0.58 + valleyPlain - ridgeField[i] * 0.28 - (elevation[i] > 0.62 ? 0.48 : 0)); let nearRiver = 0; for (let dy = -4; dy <= 4; dy++) { for (let dx = -4; dx <= 4; dx++) { const nx = x + dx; const ny = y + dy; if (!inside(nx, ny)) continue; nearRiver = Math.max(nearRiver, river[indexOf(nx, ny)] / (1 + Math.hypot(dx, dy))); } } const fan = clamp(valleyField[i] * (1 - coastalLowland[i]) * (elevation[i] > 0.34 && elevation[i] < 0.58 ? 0.9 : 0.35) * (1 - slope[i] * 0.55)); floodplain[i] = clamp(nearRiver * plain[i] * 0.92 + coastalLowland[i] * nearRiver * 0.22); agriculture[i] = clamp(plain[i] * 0.58 + fan * 0.26 + basinField[i] * 0.2 + moisture[i] * 0.14 + clamp(nearRiver) * 0.32 - slope[i] * 0.34 - ridgeField[i] * 0.18 - floodplain[i] * 0.06); } } for (let y = 2; y < MAP_H - 2; y++) { for (let x = 2; x < MAP_W - 2; x++) { const i = indexOf(x, y); if (sea[i]) continue; let seaNear = 0; let riverNear = 0; let sheltered = 0; for (let dy = -5; dy <= 5; dy++) { for (let dx = -5; dx <= 5; dx++) { const nx = x + dx; const ny = y + dy; if (!inside(nx, ny)) continue; const d = Math.hypot(dx, dy); if (sea[indexOf(nx, ny)]) seaNear += 1 / (1 + d); riverNear = Math.max(riverNear, river[indexOf(nx, ny)] / (1 + d)); } } for (let dy = -2; dy <= 2; dy++) { for (let dx = -2; dx <= 2; dx++) { const nx = x + dx; const ny = y + dy; if (inside(nx, ny) && !sea[indexOf(nx, ny)]) sheltered += 1; } } const isDelta = riverNear > 0.22 && coastalLowland[i] > 0.18; const bayShelter = sheltered * 0.012 + seaNear * 0.055 + coastalLowland[i] * 0.16; portSuitability[i] = clamp(bayShelter + riverNear * 0.24 + (isDelta ? 0.22 : 0) + plain[i] * 0.08 - slope[i] * 0.48 - ridgeField[i] * 0.16); } } for (let y = 3; y < MAP_H - 3; y++) { for (let x = 3; x < MAP_W - 3; x++) { const i = indexOf(x, y); if (sea[i]) continue; const r = river[i]; if (r < 0.2 || r > 1.85) continue; let bankPlain = 0; for (const [nx, ny] of neighbors8(x, y)) bankPlain += plain[indexOf(nx, ny)]; crossingSuitability[i] = clamp(r * 0.34 + (bankPlain / 8) * 0.54 + valleyField[i] * 0.18 - slope[i] * 0.55 - floodplain[i] * 0.06); } } for (let y = 4; y < MAP_H - 4; y++) { for (let x = 4; x < MAP_W - 4; x++) { const i = indexOf(x, y); if (sea[i]) continue; const e = elevation[i]; if (e < 0.43 || e > 0.82) continue; const ewHigh = (elevation[indexOf(x - 3, y)] + elevation[indexOf(x + 3, y)]) / 2; const nsHigh = (elevation[indexOf(x, y - 3)] + elevation[indexOf(x, y + 3)]) / 2; const diagLow = Math.min( elevation[indexOf(x - 3, y - 3)], elevation[indexOf(x + 3, y + 3)], elevation[indexOf(x - 3, y + 3)], elevation[indexOf(x + 3, y - 3)] ); passSuitability[i] = clamp((Math.max(ewHigh, nsHigh) - e) * 2.2 + (e - diagLow) * 0.55 + valleyField[i] * 0.28 - ridgeField[i] * 0.18 - slope[i] * 0.2); } } return { elevation, moisture, slope, sea, river, floodplain, plain, agriculture, ridgeField, valleyField, basinField, coastalLowland, flowAccum, erosionField, depositionField, portSuitability, crossingSuitability, passSuitability, prefectureMask, prefectureBorder, prefectureRegionId, regionalDebug, regionalPrefectureBorders, riverPaths, mainRivers, tributaryRivers, smallStreams, }; }