/** * @license * Cesium - https://github.com/CesiumGS/cesium * Version 1.99 * * Copyright 2011-2022 Cesium Contributors * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. * * Columbus View (Pat. Pend.) * * Portions licensed separately. * See https://github.com/CesiumGS/cesium/blob/main/LICENSE.md for full licensing details. */ define(['exports', './Matrix2-f9f1b94b', './Matrix3-ea964448', './Check-40d84a28', './ComponentDatatype-ebdce3ba', './defaultValue-135942ca', './EllipsoidRhumbLine-6161ec8c', './GeometryAttribute-51d61732', './Math-efde0c7b', './WebGLConstants-fcb70ee3'], (function (exports, Matrix2, Matrix3, Check, ComponentDatatype, defaultValue, EllipsoidRhumbLine, GeometryAttribute, Math$1, WebGLConstants) { 'use strict'; var earcut$1 = {exports: {}}; earcut$1.exports = earcut; earcut$1.exports.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 ? 32767 / invSize : 0; } earcutLinked(outerNode, triangles, dim, minX, minY, invSize, 0); 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 | 0); triangles.push(ear.i / dim | 0); triangles.push(next.i / dim | 0); 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 ax = a.x, bx = b.x, cx = c.x, ay = a.y, by = b.y, cy = c.y; // triangle bbox; min & max are calculated like this for speed var x0 = ax < bx ? (ax < cx ? ax : cx) : (bx < cx ? bx : cx), y0 = ay < by ? (ay < cy ? ay : cy) : (by < cy ? by : cy), x1 = ax > bx ? (ax > cx ? ax : cx) : (bx > cx ? bx : cx), y1 = ay > by ? (ay > cy ? ay : cy) : (by > cy ? by : cy); var p = c.next; while (p !== a) { if (p.x >= x0 && p.x <= x1 && p.y >= y0 && p.y <= y1 && pointInTriangle(ax, ay, bx, by, cx, cy, 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 var ax = a.x, bx = b.x, cx = c.x, ay = a.y, by = b.y, cy = c.y; // triangle bbox; min & max are calculated like this for speed var x0 = ax < bx ? (ax < cx ? ax : cx) : (bx < cx ? bx : cx), y0 = ay < by ? (ay < cy ? ay : cy) : (by < cy ? by : cy), x1 = ax > bx ? (ax > cx ? ax : cx) : (bx > cx ? bx : cx), y1 = ay > by ? (ay > cy ? ay : cy) : (by > cy ? by : cy); // z-order range for the current triangle bbox; var minZ = zOrder(x0, y0, minX, minY, invSize), maxZ = zOrder(x1, y1, 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.x >= x0 && p.x <= x1 && p.y >= y0 && p.y <= y1 && p !== a && p !== c && pointInTriangle(ax, ay, bx, by, cx, cy, p.x, p.y) && area(p.prev, p, p.next) >= 0) return false; p = p.prevZ; if (n.x >= x0 && n.x <= x1 && n.y >= y0 && n.y <= y1 && n !== a && n !== c && pointInTriangle(ax, ay, bx, by, cx, cy, 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.x >= x0 && p.x <= x1 && p.y >= y0 && p.y <= y1 && p !== a && p !== c && pointInTriangle(ax, ay, bx, by, cx, cy, 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.x >= x0 && n.x <= x1 && n.y >= y0 && n.y <= y1 && n !== a && n !== c && pointInTriangle(ax, ay, bx, by, cx, cy, 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 | 0); triangles.push(p.i / dim | 0); triangles.push(b.i / dim | 0); // 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, 0); earcutLinked(c, triangles, dim, minX, minY, invSize, 0); 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); } 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 filterPoints(bridgeReverse, bridgeReverse.next); return filterPoints(bridge, bridge.next); } // 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; m = p.x < p.next.x ? p : p.next; if (x === hx) return m; // hole touches outer segment; pick leftmost endpoint } } p = p.next; } while (p !== outerNode); if (!m) return null; // 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 === 0) 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 = (x - minX) * invSize | 0; y = (y - minY) * invSize | 0; 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) && (ax - px) * (by - py) >= (bx - px) * (ay - py) && (bx - px) * (cy - py) >= (cx - px) * (by - py); } // 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 = 0; // 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; }; /** * Winding order defines the order of vertices for a triangle to be considered front-facing. * * @enum {Number} */ const WindingOrder = { /** * Vertices are in clockwise order. * * @type {Number} * @constant */ CLOCKWISE: WebGLConstants.WebGLConstants.CW, /** * Vertices are in counter-clockwise order. * * @type {Number} * @constant */ COUNTER_CLOCKWISE: WebGLConstants.WebGLConstants.CCW, }; /** * @private */ WindingOrder.validate = function (windingOrder) { return ( windingOrder === WindingOrder.CLOCKWISE || windingOrder === WindingOrder.COUNTER_CLOCKWISE ); }; var WindingOrder$1 = Object.freeze(WindingOrder); const scaleToGeodeticHeightN = new Matrix3.Cartesian3(); const scaleToGeodeticHeightP = new Matrix3.Cartesian3(); /** * @private */ const PolygonPipeline = {}; /** * @exception {DeveloperError} At least three positions are required. */ PolygonPipeline.computeArea2D = function (positions) { //>>includeStart('debug', pragmas.debug); Check.Check.defined("positions", positions); Check.Check.typeOf.number.greaterThanOrEquals( "positions.length", positions.length, 3 ); //>>includeEnd('debug'); const length = positions.length; let area = 0.0; for (let i0 = length - 1, i1 = 0; i1 < length; i0 = i1++) { const v0 = positions[i0]; const v1 = positions[i1]; area += v0.x * v1.y - v1.x * v0.y; } return area * 0.5; }; /** * @returns {WindingOrder} The winding order. * * @exception {DeveloperError} At least three positions are required. */ PolygonPipeline.computeWindingOrder2D = function (positions) { const area = PolygonPipeline.computeArea2D(positions); return area > 0.0 ? WindingOrder$1.COUNTER_CLOCKWISE : WindingOrder$1.CLOCKWISE; }; /** * Triangulate a polygon. * * @param {Cartesian2[]} positions Cartesian2 array containing the vertices of the polygon * @param {Number[]} [holes] An array of the staring indices of the holes. * @returns {Number[]} Index array representing triangles that fill the polygon */ PolygonPipeline.triangulate = function (positions, holes) { //>>includeStart('debug', pragmas.debug); Check.Check.defined("positions", positions); //>>includeEnd('debug'); const flattenedPositions = Matrix2.Cartesian2.packArray(positions); return earcut$1.exports(flattenedPositions, holes, 2); }; const subdivisionV0Scratch = new Matrix3.Cartesian3(); const subdivisionV1Scratch = new Matrix3.Cartesian3(); const subdivisionV2Scratch = new Matrix3.Cartesian3(); const subdivisionS0Scratch = new Matrix3.Cartesian3(); const subdivisionS1Scratch = new Matrix3.Cartesian3(); const subdivisionS2Scratch = new Matrix3.Cartesian3(); const subdivisionMidScratch = new Matrix3.Cartesian3(); const subdivisionT0Scratch = new Matrix2.Cartesian2(); const subdivisionT1Scratch = new Matrix2.Cartesian2(); const subdivisionT2Scratch = new Matrix2.Cartesian2(); const subdivisionTexcoordMidScratch = new Matrix2.Cartesian2(); /** * Subdivides positions and raises points to the surface of the ellipsoid. * * @param {Ellipsoid} ellipsoid The ellipsoid the polygon in on. * @param {Cartesian3[]} positions An array of {@link Cartesian3} positions of the polygon. * @param {Number[]} indices An array of indices that determines the triangles in the polygon. * @param {Cartesian2[]} texcoords An optional array of {@link Cartesian2} texture coordinates of the polygon. * @param {Number} [granularity=CesiumMath.RADIANS_PER_DEGREE] The distance, in radians, between each latitude and longitude. Determines the number of positions in the buffer. * * @exception {DeveloperError} At least three indices are required. * @exception {DeveloperError} The number of indices must be divisable by three. * @exception {DeveloperError} Granularity must be greater than zero. */ PolygonPipeline.computeSubdivision = function ( ellipsoid, positions, indices, texcoords, granularity ) { granularity = defaultValue.defaultValue(granularity, Math$1.CesiumMath.RADIANS_PER_DEGREE); const hasTexcoords = defaultValue.defined(texcoords); //>>includeStart('debug', pragmas.debug); Check.Check.typeOf.object("ellipsoid", ellipsoid); Check.Check.defined("positions", positions); Check.Check.defined("indices", indices); Check.Check.typeOf.number.greaterThanOrEquals("indices.length", indices.length, 3); Check.Check.typeOf.number.equals("indices.length % 3", "0", indices.length % 3, 0); Check.Check.typeOf.number.greaterThan("granularity", granularity, 0.0); //>>includeEnd('debug'); // triangles that need (or might need) to be subdivided. const triangles = indices.slice(0); // New positions due to edge splits are appended to the positions list. let i; const length = positions.length; const subdividedPositions = new Array(length * 3); const subdividedTexcoords = new Array(length * 2); let q = 0; let p = 0; for (i = 0; i < length; i++) { const item = positions[i]; subdividedPositions[q++] = item.x; subdividedPositions[q++] = item.y; subdividedPositions[q++] = item.z; if (hasTexcoords) { const texcoordItem = texcoords[i]; subdividedTexcoords[p++] = texcoordItem.x; subdividedTexcoords[p++] = texcoordItem.y; } } const subdividedIndices = []; // Used to make sure shared edges are not split more than once. const edges = {}; const radius = ellipsoid.maximumRadius; const minDistance = Math$1.CesiumMath.chordLength(granularity, radius); const minDistanceSqrd = minDistance * minDistance; while (triangles.length > 0) { const i2 = triangles.pop(); const i1 = triangles.pop(); const i0 = triangles.pop(); const v0 = Matrix3.Cartesian3.fromArray( subdividedPositions, i0 * 3, subdivisionV0Scratch ); const v1 = Matrix3.Cartesian3.fromArray( subdividedPositions, i1 * 3, subdivisionV1Scratch ); const v2 = Matrix3.Cartesian3.fromArray( subdividedPositions, i2 * 3, subdivisionV2Scratch ); let t0, t1, t2; if (hasTexcoords) { t0 = Matrix2.Cartesian2.fromArray( subdividedTexcoords, i0 * 2, subdivisionT0Scratch ); t1 = Matrix2.Cartesian2.fromArray( subdividedTexcoords, i1 * 2, subdivisionT1Scratch ); t2 = Matrix2.Cartesian2.fromArray( subdividedTexcoords, i2 * 2, subdivisionT2Scratch ); } const s0 = Matrix3.Cartesian3.multiplyByScalar( Matrix3.Cartesian3.normalize(v0, subdivisionS0Scratch), radius, subdivisionS0Scratch ); const s1 = Matrix3.Cartesian3.multiplyByScalar( Matrix3.Cartesian3.normalize(v1, subdivisionS1Scratch), radius, subdivisionS1Scratch ); const s2 = Matrix3.Cartesian3.multiplyByScalar( Matrix3.Cartesian3.normalize(v2, subdivisionS2Scratch), radius, subdivisionS2Scratch ); const g0 = Matrix3.Cartesian3.magnitudeSquared( Matrix3.Cartesian3.subtract(s0, s1, subdivisionMidScratch) ); const g1 = Matrix3.Cartesian3.magnitudeSquared( Matrix3.Cartesian3.subtract(s1, s2, subdivisionMidScratch) ); const g2 = Matrix3.Cartesian3.magnitudeSquared( Matrix3.Cartesian3.subtract(s2, s0, subdivisionMidScratch) ); const max = Math.max(g0, g1, g2); let edge; let mid; let midTexcoord; // if the max length squared of a triangle edge is greater than the chord length of squared // of the granularity, subdivide the triangle if (max > minDistanceSqrd) { if (g0 === max) { edge = `${Math.min(i0, i1)} ${Math.max(i0, i1)}`; i = edges[edge]; if (!defaultValue.defined(i)) { mid = Matrix3.Cartesian3.add(v0, v1, subdivisionMidScratch); Matrix3.Cartesian3.multiplyByScalar(mid, 0.5, mid); subdividedPositions.push(mid.x, mid.y, mid.z); i = subdividedPositions.length / 3 - 1; edges[edge] = i; if (hasTexcoords) { midTexcoord = Matrix2.Cartesian2.add(t0, t1, subdivisionTexcoordMidScratch); Matrix2.Cartesian2.multiplyByScalar(midTexcoord, 0.5, midTexcoord); subdividedTexcoords.push(midTexcoord.x, midTexcoord.y); } } triangles.push(i0, i, i2); triangles.push(i, i1, i2); } else if (g1 === max) { edge = `${Math.min(i1, i2)} ${Math.max(i1, i2)}`; i = edges[edge]; if (!defaultValue.defined(i)) { mid = Matrix3.Cartesian3.add(v1, v2, subdivisionMidScratch); Matrix3.Cartesian3.multiplyByScalar(mid, 0.5, mid); subdividedPositions.push(mid.x, mid.y, mid.z); i = subdividedPositions.length / 3 - 1; edges[edge] = i; if (hasTexcoords) { midTexcoord = Matrix2.Cartesian2.add(t1, t2, subdivisionTexcoordMidScratch); Matrix2.Cartesian2.multiplyByScalar(midTexcoord, 0.5, midTexcoord); subdividedTexcoords.push(midTexcoord.x, midTexcoord.y); } } triangles.push(i1, i, i0); triangles.push(i, i2, i0); } else if (g2 === max) { edge = `${Math.min(i2, i0)} ${Math.max(i2, i0)}`; i = edges[edge]; if (!defaultValue.defined(i)) { mid = Matrix3.Cartesian3.add(v2, v0, subdivisionMidScratch); Matrix3.Cartesian3.multiplyByScalar(mid, 0.5, mid); subdividedPositions.push(mid.x, mid.y, mid.z); i = subdividedPositions.length / 3 - 1; edges[edge] = i; if (hasTexcoords) { midTexcoord = Matrix2.Cartesian2.add(t2, t0, subdivisionTexcoordMidScratch); Matrix2.Cartesian2.multiplyByScalar(midTexcoord, 0.5, midTexcoord); subdividedTexcoords.push(midTexcoord.x, midTexcoord.y); } } triangles.push(i2, i, i1); triangles.push(i, i0, i1); } } else { subdividedIndices.push(i0); subdividedIndices.push(i1); subdividedIndices.push(i2); } } const geometryOptions = { attributes: { position: new GeometryAttribute.GeometryAttribute({ componentDatatype: ComponentDatatype.ComponentDatatype.DOUBLE, componentsPerAttribute: 3, values: subdividedPositions, }), }, indices: subdividedIndices, primitiveType: GeometryAttribute.PrimitiveType.TRIANGLES, }; if (hasTexcoords) { geometryOptions.attributes.st = new GeometryAttribute.GeometryAttribute({ componentDatatype: ComponentDatatype.ComponentDatatype.FLOAT, componentsPerAttribute: 2, values: subdividedTexcoords, }); } return new GeometryAttribute.Geometry(geometryOptions); }; const subdivisionC0Scratch = new Matrix3.Cartographic(); const subdivisionC1Scratch = new Matrix3.Cartographic(); const subdivisionC2Scratch = new Matrix3.Cartographic(); const subdivisionCartographicScratch = new Matrix3.Cartographic(); /** * Subdivides positions on rhumb lines and raises points to the surface of the ellipsoid. * * @param {Ellipsoid} ellipsoid The ellipsoid the polygon in on. * @param {Cartesian3[]} positions An array of {@link Cartesian3} positions of the polygon. * @param {Number[]} indices An array of indices that determines the triangles in the polygon. * @param {Cartesian2[]} texcoords An optional array of {@link Cartesian2} texture coordinates of the polygon. * @param {Number} [granularity=CesiumMath.RADIANS_PER_DEGREE] The distance, in radians, between each latitude and longitude. Determines the number of positions in the buffer. * * @exception {DeveloperError} At least three indices are required. * @exception {DeveloperError} The number of indices must be divisable by three. * @exception {DeveloperError} Granularity must be greater than zero. */ PolygonPipeline.computeRhumbLineSubdivision = function ( ellipsoid, positions, indices, texcoords, granularity ) { granularity = defaultValue.defaultValue(granularity, Math$1.CesiumMath.RADIANS_PER_DEGREE); const hasTexcoords = defaultValue.defined(texcoords); //>>includeStart('debug', pragmas.debug); Check.Check.typeOf.object("ellipsoid", ellipsoid); Check.Check.defined("positions", positions); Check.Check.defined("indices", indices); Check.Check.typeOf.number.greaterThanOrEquals("indices.length", indices.length, 3); Check.Check.typeOf.number.equals("indices.length % 3", "0", indices.length % 3, 0); Check.Check.typeOf.number.greaterThan("granularity", granularity, 0.0); //>>includeEnd('debug'); // triangles that need (or might need) to be subdivided. const triangles = indices.slice(0); // New positions due to edge splits are appended to the positions list. let i; const length = positions.length; const subdividedPositions = new Array(length * 3); const subdividedTexcoords = new Array(length * 2); let q = 0; let p = 0; for (i = 0; i < length; i++) { const item = positions[i]; subdividedPositions[q++] = item.x; subdividedPositions[q++] = item.y; subdividedPositions[q++] = item.z; if (hasTexcoords) { const texcoordItem = texcoords[i]; subdividedTexcoords[p++] = texcoordItem.x; subdividedTexcoords[p++] = texcoordItem.y; } } const subdividedIndices = []; // Used to make sure shared edges are not split more than once. const edges = {}; const radius = ellipsoid.maximumRadius; const minDistance = Math$1.CesiumMath.chordLength(granularity, radius); const rhumb0 = new EllipsoidRhumbLine.EllipsoidRhumbLine(undefined, undefined, ellipsoid); const rhumb1 = new EllipsoidRhumbLine.EllipsoidRhumbLine(undefined, undefined, ellipsoid); const rhumb2 = new EllipsoidRhumbLine.EllipsoidRhumbLine(undefined, undefined, ellipsoid); while (triangles.length > 0) { const i2 = triangles.pop(); const i1 = triangles.pop(); const i0 = triangles.pop(); const v0 = Matrix3.Cartesian3.fromArray( subdividedPositions, i0 * 3, subdivisionV0Scratch ); const v1 = Matrix3.Cartesian3.fromArray( subdividedPositions, i1 * 3, subdivisionV1Scratch ); const v2 = Matrix3.Cartesian3.fromArray( subdividedPositions, i2 * 3, subdivisionV2Scratch ); let t0, t1, t2; if (hasTexcoords) { t0 = Matrix2.Cartesian2.fromArray( subdividedTexcoords, i0 * 2, subdivisionT0Scratch ); t1 = Matrix2.Cartesian2.fromArray( subdividedTexcoords, i1 * 2, subdivisionT1Scratch ); t2 = Matrix2.Cartesian2.fromArray( subdividedTexcoords, i2 * 2, subdivisionT2Scratch ); } const c0 = ellipsoid.cartesianToCartographic(v0, subdivisionC0Scratch); const c1 = ellipsoid.cartesianToCartographic(v1, subdivisionC1Scratch); const c2 = ellipsoid.cartesianToCartographic(v2, subdivisionC2Scratch); rhumb0.setEndPoints(c0, c1); const g0 = rhumb0.surfaceDistance; rhumb1.setEndPoints(c1, c2); const g1 = rhumb1.surfaceDistance; rhumb2.setEndPoints(c2, c0); const g2 = rhumb2.surfaceDistance; const max = Math.max(g0, g1, g2); let edge; let mid; let midHeight; let midCartesian3; let midTexcoord; // if the max length squared of a triangle edge is greater than granularity, subdivide the triangle if (max > minDistance) { if (g0 === max) { edge = `${Math.min(i0, i1)} ${Math.max(i0, i1)}`; i = edges[edge]; if (!defaultValue.defined(i)) { mid = rhumb0.interpolateUsingFraction( 0.5, subdivisionCartographicScratch ); midHeight = (c0.height + c1.height) * 0.5; midCartesian3 = Matrix3.Cartesian3.fromRadians( mid.longitude, mid.latitude, midHeight, ellipsoid, subdivisionMidScratch ); subdividedPositions.push( midCartesian3.x, midCartesian3.y, midCartesian3.z ); i = subdividedPositions.length / 3 - 1; edges[edge] = i; if (hasTexcoords) { midTexcoord = Matrix2.Cartesian2.add(t0, t1, subdivisionTexcoordMidScratch); Matrix2.Cartesian2.multiplyByScalar(midTexcoord, 0.5, midTexcoord); subdividedTexcoords.push(midTexcoord.x, midTexcoord.y); } } triangles.push(i0, i, i2); triangles.push(i, i1, i2); } else if (g1 === max) { edge = `${Math.min(i1, i2)} ${Math.max(i1, i2)}`; i = edges[edge]; if (!defaultValue.defined(i)) { mid = rhumb1.interpolateUsingFraction( 0.5, subdivisionCartographicScratch ); midHeight = (c1.height + c2.height) * 0.5; midCartesian3 = Matrix3.Cartesian3.fromRadians( mid.longitude, mid.latitude, midHeight, ellipsoid, subdivisionMidScratch ); subdividedPositions.push( midCartesian3.x, midCartesian3.y, midCartesian3.z ); i = subdividedPositions.length / 3 - 1; edges[edge] = i; if (hasTexcoords) { midTexcoord = Matrix2.Cartesian2.add(t1, t2, subdivisionTexcoordMidScratch); Matrix2.Cartesian2.multiplyByScalar(midTexcoord, 0.5, midTexcoord); subdividedTexcoords.push(midTexcoord.x, midTexcoord.y); } } triangles.push(i1, i, i0); triangles.push(i, i2, i0); } else if (g2 === max) { edge = `${Math.min(i2, i0)} ${Math.max(i2, i0)}`; i = edges[edge]; if (!defaultValue.defined(i)) { mid = rhumb2.interpolateUsingFraction( 0.5, subdivisionCartographicScratch ); midHeight = (c2.height + c0.height) * 0.5; midCartesian3 = Matrix3.Cartesian3.fromRadians( mid.longitude, mid.latitude, midHeight, ellipsoid, subdivisionMidScratch ); subdividedPositions.push( midCartesian3.x, midCartesian3.y, midCartesian3.z ); i = subdividedPositions.length / 3 - 1; edges[edge] = i; if (hasTexcoords) { midTexcoord = Matrix2.Cartesian2.add(t2, t0, subdivisionTexcoordMidScratch); Matrix2.Cartesian2.multiplyByScalar(midTexcoord, 0.5, midTexcoord); subdividedTexcoords.push(midTexcoord.x, midTexcoord.y); } } triangles.push(i2, i, i1); triangles.push(i, i0, i1); } } else { subdividedIndices.push(i0); subdividedIndices.push(i1); subdividedIndices.push(i2); } } const geometryOptions = { attributes: { position: new GeometryAttribute.GeometryAttribute({ componentDatatype: ComponentDatatype.ComponentDatatype.DOUBLE, componentsPerAttribute: 3, values: subdividedPositions, }), }, indices: subdividedIndices, primitiveType: GeometryAttribute.PrimitiveType.TRIANGLES, }; if (hasTexcoords) { geometryOptions.attributes.st = new GeometryAttribute.GeometryAttribute({ componentDatatype: ComponentDatatype.ComponentDatatype.FLOAT, componentsPerAttribute: 2, values: subdividedTexcoords, }); } return new GeometryAttribute.Geometry(geometryOptions); }; /** * Scales each position of a geometry's position attribute to a height, in place. * * @param {Number[]} positions The array of numbers representing the positions to be scaled * @param {Number} [height=0.0] The desired height to add to the positions * @param {Ellipsoid} [ellipsoid=Ellipsoid.WGS84] The ellipsoid on which the positions lie. * @param {Boolean} [scaleToSurface=true] true if the positions need to be scaled to the surface before the height is added. * @returns {Number[]} The input array of positions, scaled to height */ PolygonPipeline.scaleToGeodeticHeight = function ( positions, height, ellipsoid, scaleToSurface ) { ellipsoid = defaultValue.defaultValue(ellipsoid, Matrix3.Ellipsoid.WGS84); let n = scaleToGeodeticHeightN; let p = scaleToGeodeticHeightP; height = defaultValue.defaultValue(height, 0.0); scaleToSurface = defaultValue.defaultValue(scaleToSurface, true); if (defaultValue.defined(positions)) { const length = positions.length; for (let i = 0; i < length; i += 3) { Matrix3.Cartesian3.fromArray(positions, i, p); if (scaleToSurface) { p = ellipsoid.scaleToGeodeticSurface(p, p); } if (height !== 0) { n = ellipsoid.geodeticSurfaceNormal(p, n); Matrix3.Cartesian3.multiplyByScalar(n, height, n); Matrix3.Cartesian3.add(p, n, p); } positions[i] = p.x; positions[i + 1] = p.y; positions[i + 2] = p.z; } } return positions; }; var PolygonPipeline$1 = PolygonPipeline; exports.PolygonPipeline = PolygonPipeline$1; exports.WindingOrder = WindingOrder$1; }));