Index: ps/trunk/binaries/data/mods/public/maps/random/heightmap/heightmap.js =================================================================== --- ps/trunk/binaries/data/mods/public/maps/random/heightmap/heightmap.js (revision 25753) +++ ps/trunk/binaries/data/mods/public/maps/random/heightmap/heightmap.js (revision 25754) @@ -1,414 +1,410 @@ /** * Heightmap manipulation functionality * * A heightmapt is an array of width arrays of height floats * Width and height is normally mapSize+1 (Number of vertices is one bigger than number of tiles in each direction) * The default heightmap is g_Map.height (See the Map object) * * @warning - Ambiguous naming and potential confusion: * To use this library use TILE_CENTERED_HEIGHT_MAP = false (default) * Otherwise TILE_CENTERED_HEIGHT_MAP has nothing to do with any tile centered map in this library * @todo - TILE_CENTERED_HEIGHT_MAP should be removed and g_Map.height should never be tile centered */ /** * Get the height range of a heightmap * @param {array} [heightmap=g_Map.height] - The reliefmap the minimum and maximum height should be determined for * @return {Object} Height range with 2 floats in properties "min" and "max" */ function getMinAndMaxHeight(heightmap = g_Map.height) { let height = { "min": Infinity, "max": -Infinity }; for (let x = 0; x < heightmap.length; ++x) for (let y = 0; y < heightmap[x].length; ++y) { height.min = Math.min(height.min, heightmap[x][y]); height.max = Math.max(height.max, heightmap[x][y]); } return height; } /** * Rescales a heightmap so its minimum and maximum height is as the arguments told preserving it's global shape * @param {number} [minHeight=MIN_HEIGHT] - Minimum height that should be used for the resulting heightmap * @param {number} [maxHeight=MAX_HEIGHT] - Maximum height that should be used for the resulting heightmap * @param {array} [heightmap=g_Map.height] - A reliefmap * @todo Add preserveCostline to leave a certain height untoucht and scale below and above that seperately */ function rescaleHeightmap(minHeight = MIN_HEIGHT, maxHeight = MAX_HEIGHT, heightmap = g_Map.height) { let oldHeightRange = getMinAndMaxHeight(heightmap); for (let x = 0; x < heightmap.length; ++x) for (let y = 0; y < heightmap[x].length; ++y) heightmap[x][y] = minHeight + (heightmap[x][y] - oldHeightRange.min) / (oldHeightRange.max - oldHeightRange.min) * (maxHeight - minHeight); return heightmap; } /** * Translates the heightmap by the given vector, i.e. moves the heights in that direction. * * @param {Vector2D} offset - A vector indicating direction and distance. * @param {number} [defaultHeight] - The elevation to be set for vertices that don't have a corresponding location on the source heightmap. * @param {Array} [heightmap=g_Map.height] - A reliefmap */ function translateHeightmap(offset, defaultHeight = undefined, heightmap = g_Map.height) { if (defaultHeight === undefined) defaultHeight = getMinAndMaxHeight(heightmap).min; offset.round(); let sourceHeightmap = clone(heightmap); for (let x = 0; x < heightmap.length; ++x) for (let y = 0; y < heightmap[x].length; ++y) heightmap[x][y] = sourceHeightmap[x + offset.x] !== undefined && sourceHeightmap[x + offset.x][y + offset.y] !== undefined ? sourceHeightmap[x + offset.x][y + offset.y] : defaultHeight; return heightmap; } /** * Get start location with the largest minimum distance between players * @param {Object} [heightRange] - The height range start locations are allowed * @param {integer} [maxTries=1000] - How often random player distributions are rolled to be compared * @param {number} [minDistToBorder=20] - How far start locations have to be away from the map border * @param {integer} [numberOfPlayers=g_MapSettings.PlayerData.length] - How many start locations should be placed * @param {array} [heightmap=g_Map.height] - The reliefmap for the start locations to be placed on * @param {boolean} [isCircular=g_MapSettings.CircularMap] - If the map is circular or rectangular * @return {Vector2D[]} */ function getStartLocationsByHeightmap(heightRange, maxTries = 1000, minDistToBorder = 20, numberOfPlayers = g_MapSettings.PlayerData.length - 1, heightmap = g_Map.height, isCircular = g_MapSettings.CircularMap) { let validStartLoc = []; let mapCenter = g_Map.getCenter(); let mapSize = g_Map.getSize(); let heightConstraint = new HeightConstraint(heightRange.min, heightRange.max); for (let x = minDistToBorder; x < mapSize - minDistToBorder; ++x) for (let y = minDistToBorder; y < mapSize - minDistToBorder; ++y) { let position = new Vector2D(x, y); if (heightConstraint.allows(position) && (!isCircular || position.distanceTo(mapCenter)) < mapSize / 2 - minDistToBorder) validStartLoc.push(position); } let maxMinDist = 0; let finalStartLoc; for (let tries = 0; tries < maxTries; ++tries) { let startLoc = []; let minDist = Infinity; for (let p = 0; p < numberOfPlayers; ++p) startLoc.push(pickRandom(validStartLoc)); for (let p1 = 0; p1 < numberOfPlayers - 1; ++p1) for (let p2 = p1 + 1; p2 < numberOfPlayers; ++p2) { let dist = startLoc[p1].distanceTo(startLoc[p2]); if (dist < minDist) minDist = dist; } if (minDist > maxMinDist) { maxMinDist = minDist; finalStartLoc = startLoc; } } return finalStartLoc; } /** * Sets the heightmap to a relatively realistic shape * The function doubles the size of the initial heightmap (if given, else a random 2x2 one) until it's big enough, then the extend is cut off * @note min/maxHeight will not necessarily be present in the heightmap * @note On circular maps the edges (given by initialHeightmap) may not be in the playable map area * @note The impact of the initial heightmap depends on its size and target map size * @param {number} [minHeight=MIN_HEIGHT] - Lower limit of the random height to be rolled * @param {number} [maxHeight=MAX_HEIGHT] - Upper limit of the random height to be rolled * @param {array} [initialHeightmap] - Optional, Small (e.g. 3x3) heightmap describing the global shape of the map e.g. an island [[MIN_HEIGHT, MIN_HEIGHT, MIN_HEIGHT], [MIN_HEIGHT, MAX_HEIGHT, MIN_HEIGHT], [MIN_HEIGHT, MIN_HEIGHT, MIN_HEIGHT]] * @param {number} [smoothness=0.5] - Float between 0 (rough, more local structures) to 1 (smoother, only larger scale structures) * @param {array} [heightmap=g_Map.height] - The reliefmap that will be set by this function */ function setBaseTerrainDiamondSquare(minHeight = MIN_HEIGHT, maxHeight = MAX_HEIGHT, initialHeightmap = undefined, smoothness = 0.5, heightmap = g_Map.height) { g_Map.log("Generating map using the diamond-square algorithm"); initialHeightmap = (initialHeightmap || [[randFloat(minHeight / 2, maxHeight / 2), randFloat(minHeight / 2, maxHeight / 2)], [randFloat(minHeight / 2, maxHeight / 2), randFloat(minHeight / 2, maxHeight / 2)]]); let heightRange = maxHeight - minHeight; if (heightRange <= 0) warn("setBaseTerrainDiamondSquare: heightRange <= 0"); let offset = heightRange / 2; // Double initialHeightmap width until target width is reached (diamond square method) let newHeightmap = []; while (initialHeightmap.length < heightmap.length) { newHeightmap = []; let oldWidth = initialHeightmap.length; // Square for (let x = 0; x < 2 * oldWidth - 1; ++x) { newHeightmap.push([]); for (let y = 0; y < 2 * oldWidth - 1; ++y) { if (x % 2 == 0 && y % 2 == 0) // Old tile newHeightmap[x].push(initialHeightmap[x/2][y/2]); else if (x % 2 == 1 && y % 2 == 1) // New tile with diagonal old tile neighbors { newHeightmap[x].push((initialHeightmap[(x-1)/2][(y-1)/2] + initialHeightmap[(x+1)/2][(y-1)/2] + initialHeightmap[(x-1)/2][(y+1)/2] + initialHeightmap[(x+1)/2][(y+1)/2]) / 4); newHeightmap[x][y] += (newHeightmap[x][y] - minHeight) / heightRange * randFloat(-offset, offset); } else // New tile with straight old tile neighbors newHeightmap[x].push(undefined); // Define later } } // Diamond for (let x = 0; x < 2 * oldWidth - 1; ++x) { for (let y = 0; y < 2 * oldWidth - 1; ++y) { if (newHeightmap[x][y] !== undefined) continue; if (x > 0 && x + 1 < newHeightmap.length - 1 && y > 0 && y + 1 < newHeightmap.length - 1) // Not a border tile { newHeightmap[x][y] = (newHeightmap[x+1][y] + newHeightmap[x][y+1] + newHeightmap[x-1][y] + newHeightmap[x][y-1]) / 4; newHeightmap[x][y] += (newHeightmap[x][y] - minHeight) / heightRange * randFloat(-offset, offset); } else if (x < newHeightmap.length - 1 && y > 0 && y < newHeightmap.length - 1) // Left border { newHeightmap[x][y] = (newHeightmap[x+1][y] + newHeightmap[x][y+1] + newHeightmap[x][y-1]) / 3; newHeightmap[x][y] += (newHeightmap[x][y] - minHeight) / heightRange * randFloat(-offset, offset); } else if (x > 0 && y > 0 && y < newHeightmap.length - 1) // Right border { newHeightmap[x][y] = (newHeightmap[x][y+1] + newHeightmap[x-1][y] + newHeightmap[x][y-1]) / 3; newHeightmap[x][y] += (newHeightmap[x][y] - minHeight) / heightRange * randFloat(-offset, offset); } else if (x > 0 && x < newHeightmap.length - 1 && y < newHeightmap.length - 1) // Bottom border { newHeightmap[x][y] = (newHeightmap[x+1][y] + newHeightmap[x][y+1] + newHeightmap[x-1][y]) / 3; newHeightmap[x][y] += (newHeightmap[x][y] - minHeight) / heightRange * randFloat(-offset, offset); } else if (x > 0 && x < newHeightmap.length - 1 && y > 0) // Top border { newHeightmap[x][y] = (newHeightmap[x+1][y] + newHeightmap[x-1][y] + newHeightmap[x][y-1]) / 3; newHeightmap[x][y] += (newHeightmap[x][y] - minHeight) / heightRange * randFloat(-offset, offset); } } } initialHeightmap = clone(newHeightmap); offset /= Math.pow(2, smoothness); } // Cut initialHeightmap to fit target width let shift = [Math.floor((newHeightmap.length - heightmap.length) / 2), Math.floor((newHeightmap[0].length - heightmap[0].length) / 2)]; for (let x = 0; x < heightmap.length; ++x) for (let y = 0; y < heightmap[0].length; ++y) heightmap[x][y] = newHeightmap[x + shift[0]][y + shift[1]]; return heightmap; } /** * Meant to place e.g. resource spots within a height range * @param {array} [heightRange] - The height range in which to place the entities (An associative array with keys "min" and "max" each containing a float) * @param {array} [avoidPoints=[]] - An array of objects of the form { "x": int, "y": int, "dist": int }, points that will be avoided in the given dist e.g. start locations * @param {Object} [avoidClass=undefined] - TileClass to be avoided * @param {integer} [minDistance=30] - How many tile widths the entities to place have to be away from each other, start locations and the map border * @param {array} [heightmap=g_Map.height] - The reliefmap the entities should be distributed on * @param {integer} [maxTries=2 * g_Map.size] - How often random player distributions are rolled to be compared (256 to 1024) * @param {boolean} [isCircular=g_MapSettings.CircularMap] - If the map is circular or rectangular */ function getPointsByHeight(heightRange, avoidPoints = [], avoidClass = undefined, minDistance = 20, maxTries = 2 * g_Map.size, heightmap = g_Map.height, isCircular = g_MapSettings.CircularMap) { - let points = []; - let placements = clone(avoidPoints); - let validVertices = []; - let r = 0.5 * (heightmap.length - 1); // Map center x/y as well as radius - let avoidMap; - - if (avoidClass) - avoidMap = avoidClass.inclusionCount; + const points = []; + const placements = clone(avoidPoints); + const validVertices = []; + const r = 0.5 * (heightmap.length - 1); // Map center x/y as well as radius for (let x = minDistance; x < heightmap.length - minDistance; ++x) for (let y = minDistance; y < heightmap[x].length - minDistance; ++y) { if (avoidClass && - (avoidMap[Math.max(x - 1, 0)][y] > 0 || - avoidMap[x][Math.max(y - 1, 0)] > 0 || - avoidMap[Math.min(x + 1, avoidMap.length - 1)][y] > 0 || - avoidMap[x][Math.min(y + 1, avoidMap[0].length - 1)] > 0)) + (avoidClass.has(Math.max(x - 1, 0), y) || + avoidClass.has(x, Math.max(y - 1, 0)) || + avoidClass.has(Math.min(x + 1, avoidClass.size - 1), y) || + avoidClass.has(x, Math.min(y + 1, avoidClass.size - 1)))) continue; if (heightmap[x][y] > heightRange.min && heightmap[x][y] < heightRange.max && // Has correct height (!isCircular || r - Math.euclidDistance2D(x, y, r, r) >= minDistance)) // Enough distance to the map border validVertices.push({ "x": x, "y": y, "dist": minDistance }); } for (let tries = 0; tries < maxTries; ++tries) { - let point = pickRandom(validVertices); + const point = pickRandom(validVertices); if (placements.every(p => Math.euclidDistance2D(p.x, p.y, point.x, point.y) > Math.max(minDistance, p.dist))) { points.push(point); placements.push(point); } } return points; } /** * Returns an approximation of the heights of the tiles between the vertices, a tile centered heightmap * A tile centered heightmap is one smaller in width and height than an ordinary heightmap * It is meant to e.g. texture a map by height (x/y coordinates correspond to those of the terrain texture map) * Don't use this to override g_Map height (Potentially breaks the map)! * @param {array} [heightmap=g_Map.height] - A reliefmap the tile centered version should be build from */ function getTileCenteredHeightmap(heightmap = g_Map.height) { let max_x = heightmap.length - 1; let max_y = heightmap[0].length - 1; let tchm = []; for (let x = 0; x < max_x; ++x) { tchm[x] = new Float32Array(max_y); for (let y = 0; y < max_y; ++y) tchm[x][y] = 0.25 * (heightmap[x][y] + heightmap[x + 1][y] + heightmap[x][y + 1] + heightmap[x + 1][y + 1]); } return tchm; } /** * Returns a slope map (same form as the a heightmap with one less width and height) * Not normalized. Only returns the steepness (float), not the direction of incline. * The x and y coordinates of a tile in the terrain texture map correspond to those of the slope map * @param {array} [inclineMap=getInclineMap(g_Map.height)] - A map with the absolute inclination for each tile */ function getSlopeMap(inclineMap = getInclineMap(g_Map.height)) { let max_x = inclineMap.length; let slopeMap = []; for (let x = 0; x < max_x; ++x) { let max_y = inclineMap[x].length; slopeMap[x] = new Float32Array(max_y); for (let y = 0; y < max_y; ++y) slopeMap[x][y] = Math.euclidDistance2D(0, 0, inclineMap[x][y].x, inclineMap[x][y].y); } return slopeMap; } /** * Returns an inclination map corresponding to the tiles between the heightmaps vertices: * array of heightmap width-1 arrays of height-1 vectors (associative arrays) of the form: * { "x": x_slope, "y": y_slope } - A 2D vector pointing to the highest incline (with the length the inclination in the vector's direction). * The x and y coordinates of a tile in the terrain texture map correspond to those of the inclination map. * @param {array} [heightmap=g_Map.height] - The reliefmap the inclination map is to be generated from. */ function getInclineMap(heightmap) { heightmap = (heightmap || g_Map.height); let max_x = heightmap.length - 1; let max_y = heightmap[0].length - 1; let inclineMap = []; for (let x = 0; x < max_x; ++x) { inclineMap[x] = []; for (let y = 0; y < max_y; ++y) { let dx = heightmap[x + 1][y] - heightmap[x][y]; let dy = heightmap[x][y + 1] - heightmap[x][y]; let next_dx = heightmap[x + 1][y + 1] - heightmap[x][y + 1]; let next_dy = heightmap[x + 1][y + 1] - heightmap[x + 1][y]; inclineMap[x][y] = { "x": 0.5 * (dx + next_dx), "y": 0.5 * (dy + next_dy) }; } } return inclineMap; } function getGrad(wrapped = true, scalarField = g_Map.height) { let vectorField = []; let max_x = scalarField.length; let max_y = scalarField[0].length; if (!wrapped) { max_x -= 1; max_y -= 1; } for (let x = 0; x < max_x; ++x) { vectorField.push([]); for (let y = 0; y < max_y; ++y) { vectorField[x].push({ "x": scalarField[(x + 1) % max_x][y] - scalarField[x][y], "y": scalarField[x][(y + 1) % max_y] - scalarField[x][y] }); } } return vectorField; } function splashErodeMap(strength = 1, heightmap = g_Map.height) { let max_x = heightmap.length; let max_y = heightmap[0].length; let dHeight = getGrad(heightmap); for (let x = 0; x < max_x; ++x) { let next_x = (x + 1) % max_x; let prev_x = (x + max_x - 1) % max_x; for (let y = 0; y < max_y; ++y) { let next_y = (y + 1) % max_y; let prev_y = (y + max_y - 1) % max_y; let slopes = [-dHeight[x][y].x, -dHeight[x][y].y, dHeight[prev_x][y].x, dHeight[x][prev_y].y]; let sumSlopes = 0; for (let i = 0; i < slopes.length; ++i) if (slopes[i] > 0) sumSlopes += slopes[i]; let drain = []; for (let i = 0; i < slopes.length; ++i) { drain.push(0); if (slopes[i] > 0) drain[i] += Math.min(strength * slopes[i] / sumSlopes, slopes[i]); } let sumDrain = 0; for (let i = 0; i < drain.length; ++i) sumDrain += drain[i]; // Apply changes to maps heightmap[x][y] -= sumDrain; heightmap[next_x][y] += drain[0]; heightmap[x][next_y] += drain[1]; heightmap[prev_x][y] += drain[2]; heightmap[x][prev_y] += drain[3]; } } return heightmap; }