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- /* This file is automatically rebuilt by the Cesium build process. */
- var earcut_1 = earcut;
- var _default = earcut;
- function earcut(data, holeIndices, dim) {
- dim = dim || 2;
- var hasHoles = holeIndices && holeIndices.length,
- outerLen = hasHoles ? holeIndices[0] * dim : data.length,
- outerNode = linkedList(data, 0, outerLen, dim, true),
- triangles = [];
- if (!outerNode || outerNode.next === outerNode.prev) return triangles;
- var minX, minY, maxX, maxY, x, y, invSize;
- if (hasHoles) outerNode = eliminateHoles(data, holeIndices, outerNode, dim);
- // if the shape is not too simple, we'll use z-order curve hash later; calculate polygon bbox
- if (data.length > 80 * dim) {
- minX = maxX = data[0];
- minY = maxY = data[1];
- for (var i = dim; i < outerLen; i += dim) {
- x = data[i];
- y = data[i + 1];
- if (x < minX) minX = x;
- if (y < minY) minY = y;
- if (x > maxX) maxX = x;
- if (y > maxY) maxY = y;
- }
- // minX, minY and invSize are later used to transform coords into integers for z-order calculation
- invSize = Math.max(maxX - minX, maxY - minY);
- invSize = invSize !== 0 ? 1 / invSize : 0;
- }
- earcutLinked(outerNode, triangles, dim, minX, minY, invSize);
- return triangles;
- }
- // create a circular doubly linked list from polygon points in the specified winding order
- function linkedList(data, start, end, dim, clockwise) {
- var i, last;
- if (clockwise === (signedArea(data, start, end, dim) > 0)) {
- for (i = start; i < end; i += dim) last = insertNode(i, data[i], data[i + 1], last);
- } else {
- for (i = end - dim; i >= start; i -= dim) last = insertNode(i, data[i], data[i + 1], last);
- }
- if (last && equals(last, last.next)) {
- removeNode(last);
- last = last.next;
- }
- return last;
- }
- // eliminate colinear or duplicate points
- function filterPoints(start, end) {
- if (!start) return start;
- if (!end) end = start;
- var p = start,
- again;
- do {
- again = false;
- if (!p.steiner && (equals(p, p.next) || area(p.prev, p, p.next) === 0)) {
- removeNode(p);
- p = end = p.prev;
- if (p === p.next) break;
- again = true;
- } else {
- p = p.next;
- }
- } while (again || p !== end);
- return end;
- }
- // main ear slicing loop which triangulates a polygon (given as a linked list)
- function earcutLinked(ear, triangles, dim, minX, minY, invSize, pass) {
- if (!ear) return;
- // interlink polygon nodes in z-order
- if (!pass && invSize) indexCurve(ear, minX, minY, invSize);
- var stop = ear,
- prev, next;
- // iterate through ears, slicing them one by one
- while (ear.prev !== ear.next) {
- prev = ear.prev;
- next = ear.next;
- if (invSize ? isEarHashed(ear, minX, minY, invSize) : isEar(ear)) {
- // cut off the triangle
- triangles.push(prev.i / dim);
- triangles.push(ear.i / dim);
- triangles.push(next.i / dim);
- removeNode(ear);
- // skipping the next vertex leads to less sliver triangles
- ear = next.next;
- stop = next.next;
- continue;
- }
- ear = next;
- // if we looped through the whole remaining polygon and can't find any more ears
- if (ear === stop) {
- // try filtering points and slicing again
- if (!pass) {
- earcutLinked(filterPoints(ear), triangles, dim, minX, minY, invSize, 1);
- // if this didn't work, try curing all small self-intersections locally
- } else if (pass === 1) {
- ear = cureLocalIntersections(filterPoints(ear), triangles, dim);
- earcutLinked(ear, triangles, dim, minX, minY, invSize, 2);
- // as a last resort, try splitting the remaining polygon into two
- } else if (pass === 2) {
- splitEarcut(ear, triangles, dim, minX, minY, invSize);
- }
- break;
- }
- }
- }
- // check whether a polygon node forms a valid ear with adjacent nodes
- function isEar(ear) {
- var a = ear.prev,
- b = ear,
- c = ear.next;
- if (area(a, b, c) >= 0) return false; // reflex, can't be an ear
- // now make sure we don't have other points inside the potential ear
- var p = ear.next.next;
- while (p !== ear.prev) {
- if (pointInTriangle(a.x, a.y, b.x, b.y, c.x, c.y, p.x, p.y) &&
- area(p.prev, p, p.next) >= 0) return false;
- p = p.next;
- }
- return true;
- }
- function isEarHashed(ear, minX, minY, invSize) {
- var a = ear.prev,
- b = ear,
- c = ear.next;
- if (area(a, b, c) >= 0) return false; // reflex, can't be an ear
- // triangle bbox; min & max are calculated like this for speed
- var minTX = a.x < b.x ? (a.x < c.x ? a.x : c.x) : (b.x < c.x ? b.x : c.x),
- minTY = a.y < b.y ? (a.y < c.y ? a.y : c.y) : (b.y < c.y ? b.y : c.y),
- maxTX = a.x > b.x ? (a.x > c.x ? a.x : c.x) : (b.x > c.x ? b.x : c.x),
- maxTY = a.y > b.y ? (a.y > c.y ? a.y : c.y) : (b.y > c.y ? b.y : c.y);
- // z-order range for the current triangle bbox;
- var minZ = zOrder(minTX, minTY, minX, minY, invSize),
- maxZ = zOrder(maxTX, maxTY, minX, minY, invSize);
- var p = ear.prevZ,
- n = ear.nextZ;
- // look for points inside the triangle in both directions
- while (p && p.z >= minZ && n && n.z <= maxZ) {
- if (p !== ear.prev && p !== ear.next &&
- pointInTriangle(a.x, a.y, b.x, b.y, c.x, c.y, p.x, p.y) &&
- area(p.prev, p, p.next) >= 0) return false;
- p = p.prevZ;
- if (n !== ear.prev && n !== ear.next &&
- pointInTriangle(a.x, a.y, b.x, b.y, c.x, c.y, n.x, n.y) &&
- area(n.prev, n, n.next) >= 0) return false;
- n = n.nextZ;
- }
- // look for remaining points in decreasing z-order
- while (p && p.z >= minZ) {
- if (p !== ear.prev && p !== ear.next &&
- pointInTriangle(a.x, a.y, b.x, b.y, c.x, c.y, p.x, p.y) &&
- area(p.prev, p, p.next) >= 0) return false;
- p = p.prevZ;
- }
- // look for remaining points in increasing z-order
- while (n && n.z <= maxZ) {
- if (n !== ear.prev && n !== ear.next &&
- pointInTriangle(a.x, a.y, b.x, b.y, c.x, c.y, n.x, n.y) &&
- area(n.prev, n, n.next) >= 0) return false;
- n = n.nextZ;
- }
- return true;
- }
- // go through all polygon nodes and cure small local self-intersections
- function cureLocalIntersections(start, triangles, dim) {
- var p = start;
- do {
- var a = p.prev,
- b = p.next.next;
- if (!equals(a, b) && intersects(a, p, p.next, b) && locallyInside(a, b) && locallyInside(b, a)) {
- triangles.push(a.i / dim);
- triangles.push(p.i / dim);
- triangles.push(b.i / dim);
- // remove two nodes involved
- removeNode(p);
- removeNode(p.next);
- p = start = b;
- }
- p = p.next;
- } while (p !== start);
- return filterPoints(p);
- }
- // try splitting polygon into two and triangulate them independently
- function splitEarcut(start, triangles, dim, minX, minY, invSize) {
- // look for a valid diagonal that divides the polygon into two
- var a = start;
- do {
- var b = a.next.next;
- while (b !== a.prev) {
- if (a.i !== b.i && isValidDiagonal(a, b)) {
- // split the polygon in two by the diagonal
- var c = splitPolygon(a, b);
- // filter colinear points around the cuts
- a = filterPoints(a, a.next);
- c = filterPoints(c, c.next);
- // run earcut on each half
- earcutLinked(a, triangles, dim, minX, minY, invSize);
- earcutLinked(c, triangles, dim, minX, minY, invSize);
- return;
- }
- b = b.next;
- }
- a = a.next;
- } while (a !== start);
- }
- // link every hole into the outer loop, producing a single-ring polygon without holes
- function eliminateHoles(data, holeIndices, outerNode, dim) {
- var queue = [],
- i, len, start, end, list;
- for (i = 0, len = holeIndices.length; i < len; i++) {
- start = holeIndices[i] * dim;
- end = i < len - 1 ? holeIndices[i + 1] * dim : data.length;
- list = linkedList(data, start, end, dim, false);
- if (list === list.next) list.steiner = true;
- queue.push(getLeftmost(list));
- }
- queue.sort(compareX);
- // process holes from left to right
- for (i = 0; i < queue.length; i++) {
- outerNode = eliminateHole(queue[i], outerNode);
- outerNode = filterPoints(outerNode, outerNode.next);
- }
- return outerNode;
- }
- function compareX(a, b) {
- return a.x - b.x;
- }
- // find a bridge between vertices that connects hole with an outer ring and and link it
- function eliminateHole(hole, outerNode) {
- var bridge = findHoleBridge(hole, outerNode);
- if (!bridge) {
- return outerNode;
- }
- var bridgeReverse = splitPolygon(bridge, hole);
- // filter collinear points around the cuts
- var filteredBridge = filterPoints(bridge, bridge.next);
- filterPoints(bridgeReverse, bridgeReverse.next);
- // Check if input node was removed by the filtering
- return outerNode === bridge ? filteredBridge : outerNode;
- }
- // David Eberly's algorithm for finding a bridge between hole and outer polygon
- function findHoleBridge(hole, outerNode) {
- var p = outerNode,
- hx = hole.x,
- hy = hole.y,
- qx = -Infinity,
- m;
- // find a segment intersected by a ray from the hole's leftmost point to the left;
- // segment's endpoint with lesser x will be potential connection point
- do {
- if (hy <= p.y && hy >= p.next.y && p.next.y !== p.y) {
- var x = p.x + (hy - p.y) * (p.next.x - p.x) / (p.next.y - p.y);
- if (x <= hx && x > qx) {
- qx = x;
- if (x === hx) {
- if (hy === p.y) return p;
- if (hy === p.next.y) return p.next;
- }
- m = p.x < p.next.x ? p : p.next;
- }
- }
- p = p.next;
- } while (p !== outerNode);
- if (!m) return null;
- if (hx === qx) return m; // hole touches outer segment; pick leftmost endpoint
- // look for points inside the triangle of hole point, segment intersection and endpoint;
- // if there are no points found, we have a valid connection;
- // otherwise choose the point of the minimum angle with the ray as connection point
- var stop = m,
- mx = m.x,
- my = m.y,
- tanMin = Infinity,
- tan;
- p = m;
- do {
- if (hx >= p.x && p.x >= mx && hx !== p.x &&
- pointInTriangle(hy < my ? hx : qx, hy, mx, my, hy < my ? qx : hx, hy, p.x, p.y)) {
- tan = Math.abs(hy - p.y) / (hx - p.x); // tangential
- if (locallyInside(p, hole) &&
- (tan < tanMin || (tan === tanMin && (p.x > m.x || (p.x === m.x && sectorContainsSector(m, p)))))) {
- m = p;
- tanMin = tan;
- }
- }
- p = p.next;
- } while (p !== stop);
- return m;
- }
- // whether sector in vertex m contains sector in vertex p in the same coordinates
- function sectorContainsSector(m, p) {
- return area(m.prev, m, p.prev) < 0 && area(p.next, m, m.next) < 0;
- }
- // interlink polygon nodes in z-order
- function indexCurve(start, minX, minY, invSize) {
- var p = start;
- do {
- if (p.z === null) p.z = zOrder(p.x, p.y, minX, minY, invSize);
- p.prevZ = p.prev;
- p.nextZ = p.next;
- p = p.next;
- } while (p !== start);
- p.prevZ.nextZ = null;
- p.prevZ = null;
- sortLinked(p);
- }
- // Simon Tatham's linked list merge sort algorithm
- // http://www.chiark.greenend.org.uk/~sgtatham/algorithms/listsort.html
- function sortLinked(list) {
- var i, p, q, e, tail, numMerges, pSize, qSize,
- inSize = 1;
- do {
- p = list;
- list = null;
- tail = null;
- numMerges = 0;
- while (p) {
- numMerges++;
- q = p;
- pSize = 0;
- for (i = 0; i < inSize; i++) {
- pSize++;
- q = q.nextZ;
- if (!q) break;
- }
- qSize = inSize;
- while (pSize > 0 || (qSize > 0 && q)) {
- if (pSize !== 0 && (qSize === 0 || !q || p.z <= q.z)) {
- e = p;
- p = p.nextZ;
- pSize--;
- } else {
- e = q;
- q = q.nextZ;
- qSize--;
- }
- if (tail) tail.nextZ = e;
- else list = e;
- e.prevZ = tail;
- tail = e;
- }
- p = q;
- }
- tail.nextZ = null;
- inSize *= 2;
- } while (numMerges > 1);
- return list;
- }
- // z-order of a point given coords and inverse of the longer side of data bbox
- function zOrder(x, y, minX, minY, invSize) {
- // coords are transformed into non-negative 15-bit integer range
- x = 32767 * (x - minX) * invSize;
- y = 32767 * (y - minY) * invSize;
- x = (x | (x << 8)) & 0x00FF00FF;
- x = (x | (x << 4)) & 0x0F0F0F0F;
- x = (x | (x << 2)) & 0x33333333;
- x = (x | (x << 1)) & 0x55555555;
- y = (y | (y << 8)) & 0x00FF00FF;
- y = (y | (y << 4)) & 0x0F0F0F0F;
- y = (y | (y << 2)) & 0x33333333;
- y = (y | (y << 1)) & 0x55555555;
- return x | (y << 1);
- }
- // find the leftmost node of a polygon ring
- function getLeftmost(start) {
- var p = start,
- leftmost = start;
- do {
- if (p.x < leftmost.x || (p.x === leftmost.x && p.y < leftmost.y)) leftmost = p;
- p = p.next;
- } while (p !== start);
- return leftmost;
- }
- // check if a point lies within a convex triangle
- function pointInTriangle(ax, ay, bx, by, cx, cy, px, py) {
- return (cx - px) * (ay - py) - (ax - px) * (cy - py) >= 0 &&
- (ax - px) * (by - py) - (bx - px) * (ay - py) >= 0 &&
- (bx - px) * (cy - py) - (cx - px) * (by - py) >= 0;
- }
- // check if a diagonal between two polygon nodes is valid (lies in polygon interior)
- function isValidDiagonal(a, b) {
- return a.next.i !== b.i && a.prev.i !== b.i && !intersectsPolygon(a, b) && // dones't intersect other edges
- (locallyInside(a, b) && locallyInside(b, a) && middleInside(a, b) && // locally visible
- (area(a.prev, a, b.prev) || area(a, b.prev, b)) || // does not create opposite-facing sectors
- equals(a, b) && area(a.prev, a, a.next) > 0 && area(b.prev, b, b.next) > 0); // special zero-length case
- }
- // signed area of a triangle
- function area(p, q, r) {
- return (q.y - p.y) * (r.x - q.x) - (q.x - p.x) * (r.y - q.y);
- }
- // check if two points are equal
- function equals(p1, p2) {
- return p1.x === p2.x && p1.y === p2.y;
- }
- // check if two segments intersect
- function intersects(p1, q1, p2, q2) {
- var o1 = sign(area(p1, q1, p2));
- var o2 = sign(area(p1, q1, q2));
- var o3 = sign(area(p2, q2, p1));
- var o4 = sign(area(p2, q2, q1));
- if (o1 !== o2 && o3 !== o4) return true; // general case
- if (o1 === 0 && onSegment(p1, p2, q1)) return true; // p1, q1 and p2 are collinear and p2 lies on p1q1
- if (o2 === 0 && onSegment(p1, q2, q1)) return true; // p1, q1 and q2 are collinear and q2 lies on p1q1
- if (o3 === 0 && onSegment(p2, p1, q2)) return true; // p2, q2 and p1 are collinear and p1 lies on p2q2
- if (o4 === 0 && onSegment(p2, q1, q2)) return true; // p2, q2 and q1 are collinear and q1 lies on p2q2
- return false;
- }
- // for collinear points p, q, r, check if point q lies on segment pr
- function onSegment(p, q, r) {
- return q.x <= Math.max(p.x, r.x) && q.x >= Math.min(p.x, r.x) && q.y <= Math.max(p.y, r.y) && q.y >= Math.min(p.y, r.y);
- }
- function sign(num) {
- return num > 0 ? 1 : num < 0 ? -1 : 0;
- }
- // check if a polygon diagonal intersects any polygon segments
- function intersectsPolygon(a, b) {
- var p = a;
- do {
- if (p.i !== a.i && p.next.i !== a.i && p.i !== b.i && p.next.i !== b.i &&
- intersects(p, p.next, a, b)) return true;
- p = p.next;
- } while (p !== a);
- return false;
- }
- // check if a polygon diagonal is locally inside the polygon
- function locallyInside(a, b) {
- return area(a.prev, a, a.next) < 0 ?
- area(a, b, a.next) >= 0 && area(a, a.prev, b) >= 0 :
- area(a, b, a.prev) < 0 || area(a, a.next, b) < 0;
- }
- // check if the middle point of a polygon diagonal is inside the polygon
- function middleInside(a, b) {
- var p = a,
- inside = false,
- px = (a.x + b.x) / 2,
- py = (a.y + b.y) / 2;
- do {
- if (((p.y > py) !== (p.next.y > py)) && p.next.y !== p.y &&
- (px < (p.next.x - p.x) * (py - p.y) / (p.next.y - p.y) + p.x))
- inside = !inside;
- p = p.next;
- } while (p !== a);
- return inside;
- }
- // link two polygon vertices with a bridge; if the vertices belong to the same ring, it splits polygon into two;
- // if one belongs to the outer ring and another to a hole, it merges it into a single ring
- function splitPolygon(a, b) {
- var a2 = new Node(a.i, a.x, a.y),
- b2 = new Node(b.i, b.x, b.y),
- an = a.next,
- bp = b.prev;
- a.next = b;
- b.prev = a;
- a2.next = an;
- an.prev = a2;
- b2.next = a2;
- a2.prev = b2;
- bp.next = b2;
- b2.prev = bp;
- return b2;
- }
- // create a node and optionally link it with previous one (in a circular doubly linked list)
- function insertNode(i, x, y, last) {
- var p = new Node(i, x, y);
- if (!last) {
- p.prev = p;
- p.next = p;
- } else {
- p.next = last.next;
- p.prev = last;
- last.next.prev = p;
- last.next = p;
- }
- return p;
- }
- function removeNode(p) {
- p.next.prev = p.prev;
- p.prev.next = p.next;
- if (p.prevZ) p.prevZ.nextZ = p.nextZ;
- if (p.nextZ) p.nextZ.prevZ = p.prevZ;
- }
- function Node(i, x, y) {
- // vertex index in coordinates array
- this.i = i;
- // vertex coordinates
- this.x = x;
- this.y = y;
- // previous and next vertex nodes in a polygon ring
- this.prev = null;
- this.next = null;
- // z-order curve value
- this.z = null;
- // previous and next nodes in z-order
- this.prevZ = null;
- this.nextZ = null;
- // indicates whether this is a steiner point
- this.steiner = false;
- }
- // return a percentage difference between the polygon area and its triangulation area;
- // used to verify correctness of triangulation
- earcut.deviation = function (data, holeIndices, dim, triangles) {
- var hasHoles = holeIndices && holeIndices.length;
- var outerLen = hasHoles ? holeIndices[0] * dim : data.length;
- var polygonArea = Math.abs(signedArea(data, 0, outerLen, dim));
- if (hasHoles) {
- for (var i = 0, len = holeIndices.length; i < len; i++) {
- var start = holeIndices[i] * dim;
- var end = i < len - 1 ? holeIndices[i + 1] * dim : data.length;
- polygonArea -= Math.abs(signedArea(data, start, end, dim));
- }
- }
- var trianglesArea = 0;
- for (i = 0; i < triangles.length; i += 3) {
- var a = triangles[i] * dim;
- var b = triangles[i + 1] * dim;
- var c = triangles[i + 2] * dim;
- trianglesArea += Math.abs(
- (data[a] - data[c]) * (data[b + 1] - data[a + 1]) -
- (data[a] - data[b]) * (data[c + 1] - data[a + 1]));
- }
- return polygonArea === 0 && trianglesArea === 0 ? 0 :
- Math.abs((trianglesArea - polygonArea) / polygonArea);
- };
- function signedArea(data, start, end, dim) {
- var sum = 0;
- for (var i = start, j = end - dim; i < end; i += dim) {
- sum += (data[j] - data[i]) * (data[i + 1] + data[j + 1]);
- j = i;
- }
- return sum;
- }
- // turn a polygon in a multi-dimensional array form (e.g. as in GeoJSON) into a form Earcut accepts
- earcut.flatten = function (data) {
- var dim = data[0][0].length,
- result = {vertices: [], holes: [], dimensions: dim},
- holeIndex = 0;
- for (var i = 0; i < data.length; i++) {
- for (var j = 0; j < data[i].length; j++) {
- for (var d = 0; d < dim; d++) result.vertices.push(data[i][j][d]);
- }
- if (i > 0) {
- holeIndex += data[i - 1].length;
- result.holes.push(holeIndex);
- }
- }
- return result;
- };
- earcut_1.default = _default;
- export { earcut_1 as default };
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