@xeokit/xeokit-sdk
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3D BIM IFC Viewer SDK for AEC engineering applications. Open Source JavaScript Toolkit based on pure WebGL for top performance, real-world coordinates and full double precision
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JavaScript
import { math } from "../math/math.js";
import { Mesh } from "../mesh/Mesh.js";
import { ReadableGeometry } from "../geometry/ReadableGeometry.js";
import { buildLineGeometry } from "../geometry/index.js";
import { PhongMaterial } from "../materials/PhongMaterial.js";
import earcut from '../libs/earcut.js';
const epsilon = 1e-6;
const worldUp = [0, 1, 0];
const worldRight = [1, 0, 0];
const tempVec3a = math.vec3();
const tempVec3b = math.vec3();
const tempVec3c = math.vec3();
const tempVec3d = math.vec3();
const planeOff = math.vec3();
function pointsEqual(p1, p2) {
return (
Math.abs(p1[0] - p2[0]) < epsilon &&
Math.abs(p1[1] - p2[1]) < epsilon &&
Math.abs(p1[2] - p2[2]) < epsilon
);
}
/**
* @desc Implements hatching for Solid objects on a {@link Scene}.
*
* [[Run this example](https://xeokit.github.io/xeokit-sdk/examples/slicing/SectionPlanesPlugin_Duplex_SectionCaps.html)]
*
* ##Overview
*
* The WebGL implementation for capping sliced 3D objects works by first calculating intersection segments where a cutting
* plane meets the object's edges. These segments form a contour that is triangulated using the Earcut algorithm, which
* handles any internal holes efficiently. The resulting triangulated cap is then integrated into the original mesh with
* appropriate normals and UVs.
*
* ##Usage
*
* In the example, we'll start by enabling readable geometry on the viewer.
*
* Then we'll position the camera, and configure the near and far perspective and orthographic
* clipping planes. Finally, we'll use {@link XKTLoaderPlugin} to load the Duplex model.
*
* ````javascript
* const viewer = new Viewer({
* canvasId: "myCanvas",
* transparent: true,
* readableGeometryEnabled: true
* });
*
* viewer.camera.eye = [-2.341298674548419, 22.43987089731119, 7.236688436028655];
* viewer.camera.look = [4.399999999999963, 3.7240000000000606, 8.899000000000006];
* viewer.camera.up = [0.9102954845584759, 0.34781746407929504, 0.22446635042673466];
*
* const cameraControl = viewer.cameraControl;
* cameraControl.navMode = "orbit";
* cameraControl.followPointer = true;
*
* const xktLoader = new XKTLoaderPlugin(viewer);
*
* var t0 = performance.now();
*
* document.getElementById("time").innerHTML = "Loading model...";
*
* const sceneModel = xktLoader.load({
* id: "myModel",
* src: "../../assets/models/xkt/v10/glTF-Embedded/Duplex_A_20110505.glTFEmbedded.xkt",
* edges: true
* });
*
* sceneModel.on("loaded", () => {
*
* var t1 = performance.now();
* document.getElementById("time").innerHTML = "Model loaded in " + Math.floor(t1 - t0) / 1000.0 + " seconds<br>Objects: " + sceneModel.numEntities;
*
* //------------------------------------------------------------------------------------------------------------------
* // Add caps materials to all objects inside the loaded model that have an opacity equal to or above 0.7
* //------------------------------------------------------------------------------------------------------------------
* const opacityThreshold = 0.7;
* const material = new PhongMaterial(viewer.scene,{
* diffuse: [1.0, 0.0, 0.0],
* backfaces: true
* });
* addCapsMaterialsToAllObjects(sceneModel, opacityThreshold, material);
*
* //------------------------------------------------------------------------------------------------------------------
* // Create a moving SectionPlane, that moves through the table models
* //------------------------------------------------------------------------------------------------------------------
*
* const sectionPlanes = new SectionPlanesPlugin(viewer, {
* overviewCanvasId: "mySectionPlanesOverviewCanvas",
* overviewVisible: true,
* });
*
* const sectionPlane = sectionPlanes.createSectionPlane({
* id: "mySectionPlane",
* pos: [0.5, 2.5, 5.0],
* dir: math.normalizeVec3([1.0, 0.01, 1])
* });
*
* sectionPlanes.showControl(sectionPlane.id);
*
* window.viewer = viewer;
*
* });
*
* function addCapsMaterialsToAllObjects(sceneModel, opacityThreshold, material) {
* const allObjects = sceneModel.objects;
* for(const key in allObjects){
* const object = allObjects[key];
* if(object.opacity >= opacityThreshold)
* object.capMaterial = material;
* }
* }
* ````
*/
class SectionCaps {
/**
* @constructor
*/
constructor(scene) {
this.scene = scene;
this._resourcesAllocated = false;
}
_onCapMaterialUpdated(entityId, modelId) {
if(!this._resourcesAllocated) {
this._resourcesAllocated = true;
this._sectionPlanes = [];
this._sceneModelsData = {};
this._dirtyMap = {};
this._prevIntersectionModelsMap = {};
this._sectionPlaneTimeout = null;
this._updateTimeout = null;
const handleSectionPlane = (sectionPlane) => {
const onSectionPlaneUpdated = () => {
this._setAllDirty(true);
this._update();
}
this._sectionPlanes.push(sectionPlane);
sectionPlane.on('pos', onSectionPlaneUpdated);
sectionPlane.on('dir', onSectionPlaneUpdated);
sectionPlane.on('active', onSectionPlaneUpdated);
sectionPlane.once('destroyed', (() => {
const sectionPlaneId = sectionPlane.id;
if (sectionPlaneId) {
this._sectionPlanes = this._sectionPlanes.filter((sectionPlane) => sectionPlane.id !== sectionPlaneId);
this._update();
}
}).bind(this));
}
for(const key in this.scene.sectionPlanes){
handleSectionPlane(this.scene.sectionPlanes[key]);
}
this._onSectionPlaneCreated = this.scene.on('sectionPlaneCreated', handleSectionPlane)
this._onTick = this.scene.on("tick", () => {
//on ticks we only check if there is a model that we have saved vertices for,
//but it's no more available on the scene, or if its visibility changed
let dirty = false;
for(const sceneModelId in this._sceneModelsData) {
if(!this.scene.models[sceneModelId]){
delete this._sceneModelsData[sceneModelId];
dirty = true;
} else if (this._sceneModelsData[sceneModelId].visible !== (!!this.scene.models[sceneModelId].visible)) {
this._sceneModelsData[sceneModelId].visible = !!this.scene.models[sceneModelId].visible;
dirty = true;
}
}
if (dirty) {
this._update();
}
})
}
if(!this._dirtyMap[modelId])
this._dirtyMap[modelId] = new Map();
this._dirtyMap[modelId].set(entityId, true);
this._update();
}
_update() {
clearTimeout(this._updateTimeout);
this._deletePreviousModels();
this._updateTimeout = setTimeout(() => {
clearTimeout(this._updateTimeout);
const sceneModels = Object.values(this.scene.models).filter(sceneModel => sceneModel.visible);
this._addHatches(sceneModels, this._sectionPlanes.filter(sectionPlane => sectionPlane.active));
this._setAllDirty(false);
}, 100);
}
_setAllDirty(value) {
for(const key in this._dirty) {
this._dirtyMap[key].forEach((_, key2) => this._dirtyMap[key].set(key2, value));
}
}
_addHatches(sceneModels, planes) {
planes.forEach((plane) => {
sceneModels.forEach((sceneModel) => {
if(!this._doesPlaneIntersectBoundingBox(sceneModel.aabb, plane)) return;
if(!this._dirtyMap[sceneModel.id]) return;
//#region calculating segments in unsorted way
//we calculate the segments by intersecting plane with each triangle
const unsortedSegments = new Map();
const objects = sceneModel.objects;
// Preallocate arrays for triangle vertices to avoid repeated allocation
const triangle = [
math.vec3(),
math.vec3(),
math.vec3()
];
this._dirtyMap[sceneModel.id].forEach((isDirty, objectId) => {
if (!isDirty) {
return;
}
const object = objects[objectId];
if(!this._doesPlaneIntersectBoundingBox(object.aabb, plane)) return;
if(!this._sceneModelsData[sceneModel.id]) {
const aabb = sceneModel.aabb;
this._sceneModelsData[sceneModel.id] = {
verticesMap: new Map(),
indicesMap: new Map(),
// modelOrigin is critical to use when handling models with large coordinates.
// See XCD-306 and examples/slicing/SectionCaps_at_distance.html for more details.
modelOrigin: math.vec3([
(aabb[0] + aabb[3]) / 2,
(aabb[1] + aabb[4]) / 2,
(aabb[2] + aabb[5]) / 2
])
};
}
const sceneModelData = this._sceneModelsData[sceneModel.id];
const modelOrigin = sceneModelData.modelOrigin;
if(!sceneModelData.verticesMap.has(objectId)) {
const isSolid = object.meshes[0].isSolid();
const vertices = [ ];
const indices = [ ];
if(isSolid && object.capMaterial) {
object.getEachVertex(v => vertices.push(v[0]-modelOrigin[0], v[1]-modelOrigin[1], v[2]-modelOrigin[2]));
object.getEachIndex(i => indices.push(i));
}
sceneModelData.verticesMap.set(objectId, vertices);
sceneModelData.indicesMap.set(objectId, indices);
}
const vertices = sceneModelData.verticesMap.get(objectId);
const indices = sceneModelData.indicesMap.get(objectId);
const planeDist = -math.dotVec3(math.subVec3(plane.pos, modelOrigin, tempVec3a), plane.dir);
const capSegments = [];
const vertCount = indices.length;
for (let i = 0; i < vertCount; i += 3) {
// Reuse triangle buffer instead of creating new arrays
for (let j = 0; j < 3; j++) {
const idx = indices[i + j] * 3;
triangle[j][0] = vertices[idx];
triangle[j][1] = vertices[idx + 1];
triangle[j][2] = vertices[idx + 2];
}
// Early null check
if (!triangle[0][0] && !triangle[0][1] && !triangle[0][2]) continue;
const intersections = [];
for (let i = 0; i < 3; i++) {
const p1 = triangle[i];
const p2 = triangle[(i + 1) % 3];
const d1 = planeDist + math.dotVec3(plane.dir, p1);
const d2 = planeDist + math.dotVec3(plane.dir, p2);
if (d1 * d2 > 0) continue;
const t = -d1 / (d2 - d1);
intersections.push(math.lerpVec3(t, 0, 1, p1, p2, math.vec3()));
}
if(intersections.length === 2) capSegments.push(intersections);
}
if (capSegments.length > 0) {
unsortedSegments.set(objectId, capSegments);
}
})
//#endregion
//#region sorting the segments
const orderedSegments = new Map();
unsortedSegments.forEach((unsortedSegment, segmentedId) => {
orderedSegments.set(segmentedId, [
[
unsortedSegment[0] //this is also an array of two vectors
]
]);
unsortedSegment.splice(0, 1);
let index = 0;
while (unsortedSegment.length > 0) {
const lastPoint = orderedSegments.get(segmentedId)[index][orderedSegments.get(segmentedId)[index].length - 1][1];
let found = false;
for (let i = 0; i < unsortedSegment.length; i++) {
const [start, end] = unsortedSegment[i];
if (pointsEqual(lastPoint, start)) {
orderedSegments.get(segmentedId)[index].push(unsortedSegment[i]);
unsortedSegment.splice(i, 1);
found = true;
break;
} else if (pointsEqual(lastPoint, end)) {
orderedSegments.get(segmentedId)[index].push([end, start]);
unsortedSegment.splice(i, 1);
found = true;
break;
}
}
if (!found) {
if (pointsEqual(lastPoint, orderedSegments.get(segmentedId)[index][0][0])) {
if (unsortedSegment.length > 1) {
orderedSegments.get(segmentedId).push([
unsortedSegments.get(segmentedId)[0]
]);
unsortedSegment.splice(0, 1);
index++;
continue;
}
}
}
if (!found) {
// console.error(`Could not find a matching segment. Loop may not be closed. Key: ${key}`);
break;
}
}
})
//#endregion
//#region projecting the segments to 2D
const projectedSegments = new Map();
orderedSegments.forEach((orderedSegment, key) => {
const arr = [];
for (let i = 0; i < orderedSegment.length; i++) {
arr.push([]);
orderedSegment[i].forEach((segment) => {
arr[i].push([
this._projectTo2D(segment[0], plane.dir),
this._projectTo2D(segment[1], plane.dir)
])
})
}
projectedSegments.set(key, arr);
})
//#endregion
//#region creating caps using earcut and then projecting them back to 3D
const caps = new Map();
let arr;
projectedSegments.forEach((segment, segmentId) => {
const modelOrigin = this._sceneModelsData[sceneModel.id].modelOrigin;
arr = [];
const loops = segment;
// Group related loops (outer boundaries with their holes)
const groupedLoops = [];
const used = new Set();
for (let i = 0; i < loops.length; i++) {
if (used.has(i)) continue;
const group = [loops[i]];
used.add(i);
// Check remaining loops
for (let j = i + 1; j < loops.length; j++) {
if (used.has(j)) continue;
if (this._isLoopInside(loops[i], loops[j]) ||
this._isLoopInside(loops[j], loops[i])) {
group.push(loops[j]);
used.add(j);
}
}
groupedLoops.push(group);
}
// Process each group separately
groupedLoops.forEach(group => {
// Convert the segments into a flat array of vertices and find holes
const vertices = [];
const holes = [];
let currentIndex = 0;
// First, determine which loop has the largest area - this will be our outer boundary
const areas = group.map(loop => {
let area = 0;
for (let i = 0; i < loop.length; i++) {
const j = (i + 1) % loop.length;
area += loop[i][0][0] * loop[j][0][1];
area -= loop[j][0][0] * loop[i][0][1];
}
return Math.abs(area) / 2;
});
// Find index of the loop with maximum area
const outerLoopIndex = areas.indexOf(Math.max(...areas));
// Add the outer boundary first
group[outerLoopIndex].forEach(segment => {
vertices.push(segment[0][0], segment[0][1]);
currentIndex += 2;
});
// Then add all other loops as holes
for (let i = 0; i < group.length; i++) {
if (i !== outerLoopIndex) {
// Store the starting vertex index for this hole
holes.push(currentIndex / 2);
group[i].forEach(segment => {
vertices.push(segment[0][0], segment[0][1]);
currentIndex += 2;
});
}
}
// Triangulate using earcut
const triangles = earcut(vertices, holes);
// // Convert triangulated 2D points back to 3D
const cap3D = [];
// Process each triangle
for (let i = 0; i < triangles.length; i += 3) {
const triangle = [];
// Convert each vertex
for (let j = 0; j < 3; j++) {
const idx = triangles[i + j] * 2;
const point2D = [vertices[idx], vertices[idx + 1]];
const point3D = this._convertTo3D(point2D, plane, modelOrigin);
triangle.push(point3D);
}
cap3D.push(triangle);
}
arr.push(cap3D);
});
caps.set(segmentId, arr);
})
//#endregion
//#region converting caps to geometry
const geometryData = new Map();
caps.forEach((cap, capId) => {
arr = [];
cap.forEach(capTriangles => {
// Create a vertex map to reuse vertices
const vertexMap = new Map();
const vertices = [];
const indices = [];
let currentIndex = 0;
capTriangles.forEach(triangle => {
const triangleIndices = [];
// Process each vertex of the triangle
triangle.forEach(vertex => {
// Create a key for the vertex to check for duplicates
const vertexKey = `${vertex[0].toFixed(6)},${vertex[1].toFixed(6)},${vertex[2].toFixed(6)}`;
if (vertexMap.has(vertexKey)) {
// Reuse existing vertex
triangleIndices.push(vertexMap.get(vertexKey));
} else {
// Add new vertex
vertices.push(vertex[0], vertex[1], vertex[2]);
vertexMap.set(vertexKey, currentIndex);
triangleIndices.push(currentIndex);
currentIndex++;
}
});
// Add triangle indices
indices.push(...triangleIndices);
});
arr.push({
positions: vertices,
indices: indices
});
});
geometryData.set(capId, arr);
})
//#endregion
//#region adding meshes to the scene
if(!this._prevIntersectionModelsMap[sceneModel.id])
this._prevIntersectionModelsMap[sceneModel.id] = new Map();
// Cache plane direction values
math.mulVec3Scalar(plane.dir, 0.001, planeOff); // Use dedicated planeOff, as tempVec* are overwritten by _createUVs
geometryData.forEach((geometries, objectId) => {
const modelOrigin = this._sceneModelsData[sceneModel.id].modelOrigin;
const meshArray = new Array(geometries.size); // Pre-allocate array with known size
let meshIndex = 0;
geometries.forEach((geometry, index) => {
const vertices = geometry.positions;
const indices = geometry.indices;
const verticesLength = vertices.length;
// Build normals and UVs in parallel if possible
const meshNormals = math.buildNormals(vertices, indices);
const uvs = this._createUVs(vertices, plane, modelOrigin);
// Create mesh with transformed vertices
meshArray[meshIndex++] = new Mesh(this.scene, {
id: `${plane.id}-${objectId}-${index}`,
geometry: new ReadableGeometry(this.scene, {
primitive: 'triangles',
positions: vertices, // Only copy what we need
indices,
normals: meshNormals,
uv: uvs
}),
origin: math.addVec3(modelOrigin, planeOff, tempVec3a),
position: [0, 0, 0],
rotation: [0, 0, 0],
material: sceneModel.objects[objectId].capMaterial
});
})
if(this._prevIntersectionModelsMap[sceneModel.id].has(objectId)) {
this._prevIntersectionModelsMap[sceneModel.id].get(objectId).push(...meshArray)
}
else
this._prevIntersectionModelsMap[sceneModel.id].set(objectId, meshArray);
})
//#endregion
})
})
}
_doesPlaneIntersectBoundingBox(bb, plane) {
const min = [bb[0], bb[1], bb[2]];
const max = [bb[3], bb[4], bb[5]];
const corners = [
[min[0], min[1], min[2]], // 000
[max[0], min[1], min[2]], // 100
[min[0], max[1], min[2]], // 010
[max[0], max[1], min[2]], // 110
[min[0], min[1], max[2]], // 001
[max[0], min[1], max[2]], // 101
[min[0], max[1], max[2]], // 011
[max[0], max[1], max[2]] // 111
]
// Calculate distance from each corner to the plane
let hasPositive = false;
let hasNegative = false;
for (const corner of corners) {
const distance = plane.dist + math.dotVec3(plane.dir, corner);
if (distance > 0) hasPositive = true;
if (distance < 0) hasNegative = true;
// If we found points on both sides, the plane intersects the box
if (hasPositive && hasNegative) return true;
}
// If all points are on the same side, no intersection
return false;
}
//not used but kept for debugging
_buildLines(sortedSegments) {
for (const key in sortedSegments) {
for (let i = 0; i < sortedSegments[key].length; i++) {
const segments = sortedSegments[key][i];
if (segments.length <= 0) continue;
segments.forEach((segment, index) => {
new Mesh(this.scene, {
clippable: false,
geometry: new ReadableGeometry(this.scene, buildLineGeometry({
startPoint: segment[0],
endPoint: segment[1],
})),
material: new PhongMaterial(this.scene, {
emissive: [1, 0, 0]
})
});
})
}
}
}
_projectTo2D(point, normal) {
let u;
if (Math.abs(normal[0]) > Math.abs(normal[1]))
u = [-normal[2], 0, normal[0]];
else
u = [0, normal[2], -normal[1]];
u = math.normalizeVec3(u);
const normalTemp = math.vec3(normal);
const cross = math.cross3Vec3(normalTemp, u)
const v = math.normalizeVec3(cross);
const x = math.dotVec3(point, u);
const y = math.dotVec3(point, v);
return [x, y]
}
_isLoopInside(loop1, loop2) {
// Simple point-in-polygon test using the first point of loop1
const point = loop1[0][0]; // First point of first segment
let inside = false;
for (let i = 0, j = loop2.length - 1; i < loop2.length; j = i++) {
const xi = loop2[i][0][0], yi = loop2[i][0][1];
const xj = loop2[j][0][0], yj = loop2[j][0][1];
const intersect = ((yi > point[1]) !== (yj > point[1]))
&& (point[0] < (xj - xi) * (point[1] - yi) / (yj - yi) + xi);
if (intersect) inside = !inside;
}
return inside;
}
_convertTo3D(point2D, plane, origin) {
// Reconstruct the same basis vectors used in _projectTo2D
let u, normal = plane.dir, planePosition = plane.pos;
if (Math.abs(normal[0]) > Math.abs(normal[1])) {
u = [-normal[2], 0, normal[0]];
} else {
u = [0, normal[2], -normal[1]];
}
u = math.normalizeVec3(u);
const normalTemp = math.vec3(normal);
const cross = math.cross3Vec3(normalTemp, u);
const v = math.normalizeVec3(cross);
// Reconstruct 3D point using the basis vectors
const x = point2D[0];
const y = point2D[1];
const result = [
u[0] * x + v[0] * y,
u[1] * x + v[1] * y,
u[2] * x + v[2] * y
];
// Project the point onto the cutting plane
const t = math.dotVec3(normal, [
planePosition[0] - result[0] - origin[0],
planePosition[1] - result[1] - origin[1],
planePosition[2] - result[2] - origin[2]
]);
return [
result[0] + normal[0] * t,
result[1] + normal[1] * t,
result[2] + normal[2] * t
];
}
_deletePreviousModels() {
for(const sceneModelId in this._prevIntersectionModelsMap) {
const objects = this._prevIntersectionModelsMap[sceneModelId];
objects.forEach((value, objectId) => {
if(this._dirtyMap[sceneModelId].get(objectId)) {
value.forEach((mesh) => {
mesh.destroy();
})
this._prevIntersectionModelsMap[sceneModelId].delete(objectId);
}
})
if(this._prevIntersectionModelsMap[sceneModelId].size <= 0)
delete this._prevIntersectionModelsMap[sceneModelId];
}
}
_createUVs(vertices, plane, origin) {
const O = plane.pos;
const D = tempVec3a;
D.set(plane.dir);
math.normalizeVec3(D);
const P = tempVec3b;
const uvs = [ ];
for (let i = 0; i < vertices.length; i += 3) {
P[0] = vertices[i] + origin[0];
P[1] = vertices[i + 1] + origin[1];
P[2] = vertices[i + 2] + origin[2];
// Project P onto the plane
const OP = math.subVec3(P, O, tempVec3c);
const dist = math.dotVec3(OP, D);
math.subVec3(P, math.mulVec3Scalar(D, dist, tempVec3c), P);
const right = ((Math.abs(math.dotVec3(D, worldUp)) < 0.999)
? math.cross3Vec3(D, worldUp, tempVec3c)
: worldRight);
const v = math.cross3Vec3(D, right, tempVec3c);
math.normalizeVec3(v, v);
const OP_proj = math.subVec3(P, O, P);
uvs.push(
math.dotVec3(OP_proj, math.normalizeVec3(math.cross3Vec3(v, D, tempVec3d))),
math.dotVec3(OP_proj, v));
}
return uvs;
}
destroy() {
this._deletePreviousModels();
if(this._resourcesAllocated) {
this.scene.off(this._onModelLoaded);
this.scene.off(this._onModelUnloaded);
this.scene.off(this._onSectionPlaneCreated);
this.scene.off(this._onTick);
}
}
}
export { SectionCaps };