"use strict"; Object.defineProperty(exports, "__esModule", { value: true }); var THREE = require("three"); /*jshint esversion: 6 */ var EPSILON = 1e-5, COPLANAR = 0, //共面 FRONT = 1, //前 BACK = 2, SPANNING = 3; var ThreeBSP = /** @class */ (function () { function ThreeBSP(geometry) { // Convert THREE.Geometry to ThreeBSP var i, _length_i, face, vertex, faceVertexUvs, uvs, polygon, polygons = [], tree; this.Polygon = Polygon; this.Vertex = Vertex; this.Node = Node; if (geometry instanceof THREE.Geometry) { this.matrix = new THREE.Matrix4(); } else if (geometry instanceof THREE.Mesh) { // #todo: add hierarchy support geometry.updateMatrix(); this.matrix = geometry.matrix.clone(); geometry = geometry.geometry; } else if (geometry instanceof Node) { this.tree = geometry; this.matrix = new THREE.Matrix4(); return this; } else { throw 'ThreeBSP: Given geometry is unsupported'; } for (i = 0, _length_i = geometry.faces.length; i < _length_i; i++) { face = geometry.faces[i]; faceVertexUvs = geometry.faceVertexUvs[0][i]; polygon = new Polygon(); if (face instanceof THREE.Face3) { vertex = geometry.vertices[face.a]; uvs = faceVertexUvs ? new THREE.Vector2(faceVertexUvs[0].x, faceVertexUvs[0].y) : null; vertex = new Vertex(vertex.x, vertex.y, vertex.z, face.vertexNormals[0], uvs); vertex.applyMatrix4(this.matrix); polygon.vertices.push(vertex); vertex = geometry.vertices[face.b]; uvs = faceVertexUvs ? new THREE.Vector2(faceVertexUvs[1].x, faceVertexUvs[1].y) : null; vertex = new Vertex(vertex.x, vertex.y, vertex.z, face.vertexNormals[1], uvs); vertex.applyMatrix4(this.matrix); polygon.vertices.push(vertex); vertex = geometry.vertices[face.c]; uvs = faceVertexUvs ? new THREE.Vector2(faceVertexUvs[2].x, faceVertexUvs[2].y) : null; vertex = new Vertex(vertex.x, vertex.y, vertex.z, face.vertexNormals[2], uvs); vertex.applyMatrix4(this.matrix); polygon.vertices.push(vertex); } else { throw 'Invalid face type at index ' + i; } polygon.calculateProperties(); polygons.push(polygon); } this.tree = new Node(polygons); } //减 ThreeBSP.prototype.subtract = function (other_tree) { var a = this.tree.clone(), b = other_tree.tree.clone(); a.invert(); a.clipTo(b); b.clipTo(a); b.invert(); b.clipTo(a); b.invert(); a.build(b.allPolygons()); a.invert(); var bsp = new ThreeBSP(a); bsp.matrix = this.matrix; return bsp; }; //结合 ThreeBSP.prototype.union = function (other_tree) { var a = this.tree.clone(), b = other_tree.tree.clone(); a.clipTo(b); b.clipTo(a); b.invert(); b.clipTo(a); b.invert(); a.build(b.allPolygons()); var bsp = new ThreeBSP(a); bsp.matrix = this.matrix; return bsp; }; //相交 ThreeBSP.prototype.intersect = function (other_tree) { var a = this.tree.clone(), b = other_tree.tree.clone(); a.invert(); b.clipTo(a); b.invert(); a.clipTo(b); b.clipTo(a); a.build(b.allPolygons()); a.invert(); var bsp = new ThreeBSP(a); bsp.matrix = this.matrix; return bsp; }; ThreeBSP.prototype.toGeometry = function () { var i, j, matrix = new THREE.Matrix4().getInverse(this.matrix), geometry = new THREE.Geometry(), polygons = this.tree.allPolygons(), polygon_count = polygons.length, polygon, polygon_vertice_count, vertice_dict = {}, vertex_idx_a, vertex_idx_b, vertex_idx_c, vertex, face, verticeUvs; for (i = 0; i < polygon_count; i++) { polygon = polygons[i]; polygon_vertice_count = polygon.vertices.length; for (j = 2; j < polygon_vertice_count; j++) { verticeUvs = []; vertex = polygon.vertices[0]; verticeUvs.push(new THREE.Vector2(vertex.uv.x, vertex.uv.y)); vertex = new THREE.Vector3(vertex.x, vertex.y, vertex.z); vertex.applyMatrix4(matrix); if (typeof vertice_dict[vertex.x + ',' + vertex.y + ',' + vertex.z] !== 'undefined') { vertex_idx_a = vertice_dict[vertex.x + ',' + vertex.y + ',' + vertex.z]; } else { geometry.vertices.push(vertex); vertex_idx_a = vertice_dict[vertex.x + ',' + vertex.y + ',' + vertex.z] = geometry.vertices.length - 1; } vertex = polygon.vertices[j - 1]; verticeUvs.push(new THREE.Vector2(vertex.uv.x, vertex.uv.y)); vertex = new THREE.Vector3(vertex.x, vertex.y, vertex.z); vertex.applyMatrix4(matrix); if (typeof vertice_dict[vertex.x + ',' + vertex.y + ',' + vertex.z] !== 'undefined') { vertex_idx_b = vertice_dict[vertex.x + ',' + vertex.y + ',' + vertex.z]; } else { geometry.vertices.push(vertex); vertex_idx_b = vertice_dict[vertex.x + ',' + vertex.y + ',' + vertex.z] = geometry.vertices.length - 1; } vertex = polygon.vertices[j]; verticeUvs.push(new THREE.Vector2(vertex.uv.x, vertex.uv.y)); vertex = new THREE.Vector3(vertex.x, vertex.y, vertex.z); vertex.applyMatrix4(matrix); if (typeof vertice_dict[vertex.x + ',' + vertex.y + ',' + vertex.z] !== 'undefined') { vertex_idx_c = vertice_dict[vertex.x + ',' + vertex.y + ',' + vertex.z]; } else { geometry.vertices.push(vertex); vertex_idx_c = vertice_dict[vertex.x + ',' + vertex.y + ',' + vertex.z] = geometry.vertices.length - 1; } face = new THREE.Face3(vertex_idx_a, vertex_idx_b, vertex_idx_c, new THREE.Vector3(polygon.normal.x, polygon.normal.y, polygon.normal.z)); geometry.faces.push(face); geometry.faceVertexUvs[0].push(verticeUvs); } } return geometry; }; ThreeBSP.prototype.toMesh = function (material) { var geometry = this.toGeometry(), mesh = new THREE.Mesh(geometry, material); mesh.position.setFromMatrixPosition(this.matrix); mesh.rotation.setFromRotationMatrix(this.matrix); return mesh; }; return ThreeBSP; }()); exports.ThreeBSP = ThreeBSP; //多边形 var Polygon = /** @class */ (function () { function Polygon(vertices, normal, w) { if (!(vertices instanceof Array)) { vertices = []; } this.vertices = vertices; if (vertices.length > 0) { this.calculateProperties(); } else { this.normal = this.w = undefined; } } Polygon.prototype.calculateProperties = function () { var a = this.vertices[0], b = this.vertices[1], c = this.vertices[2]; this.normal = b.clone().subtract(a).cross(c.clone().subtract(a)).normalize(); this.w = this.normal.clone().dot(a); return this; }; Polygon.prototype.clone = function () { var i, vertice_count, polygon = new Polygon(); for (i = 0, vertice_count = this.vertices.length; i < vertice_count; i++) { polygon.vertices.push(this.vertices[i].clone()); } polygon.calculateProperties(); return polygon; }; Polygon.prototype.flip = function () { var i, vertices = []; this.normal.multiplyScalar(-1); this.w *= -1; for (i = this.vertices.length - 1; i >= 0; i--) { vertices.push(this.vertices[i]); } this.vertices = vertices; return this; }; //划分? Polygon.prototype.classifyVertex = function (vertex) { var side_value = this.normal.dot(vertex) - this.w; if (side_value < -EPSILON) { return BACK; } else if (side_value > EPSILON) { return FRONT; } else { return COPLANAR; } }; //划分边? Polygon.prototype.classifySide = function (polygon) { var i, vertex, classification, num_positive = 0, num_negative = 0, vertice_count = polygon.vertices.length; for (i = 0; i < vertice_count; i++) { vertex = polygon.vertices[i]; classification = this.classifyVertex(vertex); if (classification === FRONT) { num_positive++; } else if (classification === BACK) { num_negative++; } } if (num_positive > 0 && num_negative === 0) { return FRONT; } else if (num_positive === 0 && num_negative > 0) { return BACK; } else if (num_positive === 0 && num_negative === 0) { return COPLANAR; } else { return SPANNING; } }; //分解 分离 区域? Polygon.prototype.splitPolygon = function (polygon, coplanar_front, coplanar_back, front, back) { var classification = this.classifySide(polygon); if (classification === COPLANAR) { (this.normal.dot(polygon.normal) > 0 ? coplanar_front : coplanar_back).push(polygon); } else if (classification === FRONT) { front.push(polygon); } else if (classification === BACK) { back.push(polygon); } else { var vertice_count = void 0, i = void 0, j = void 0, ti = void 0, tj = void 0, vi = void 0, vj = void 0, t = void 0, v = void 0, f = [], b = []; for (i = 0, vertice_count = polygon.vertices.length; i < vertice_count; i++) { j = (i + 1) % vertice_count; vi = polygon.vertices[i]; vj = polygon.vertices[j]; ti = this.classifyVertex(vi); tj = this.classifyVertex(vj); if (ti != BACK) f.push(vi); if (ti != FRONT) b.push(vi); if ((ti | tj) === SPANNING) { t = (this.w - this.normal.dot(vi)) / this.normal.dot(vj.clone().subtract(vi)); v = vi.interpolate(vj, t); f.push(v); b.push(v); } } if (f.length >= 3) front.push(new Polygon(f).calculateProperties()); if (b.length >= 3) back.push(new Polygon(b).calculateProperties()); } }; return Polygon; }()); exports.Polygon = Polygon; var Vertex = /** @class */ (function () { function Vertex(x, y, z, normal, uv) { this.x = x; this.y = y; this.z = z; this.normal = normal || new THREE.Vector3(); this.uv = uv || new THREE.Vector2(); } Vertex.prototype.clone = function () { return new Vertex(this.x, this.y, this.z, this.normal.clone(), this.uv.clone()); }; Vertex.prototype.add = function (vertex) { this.x += vertex.x; this.y += vertex.y; this.z += vertex.z; return this; }; Vertex.prototype.subtract = function (vertex) { this.x -= vertex.x; this.y -= vertex.y; this.z -= vertex.z; return this; }; Vertex.prototype.multiplyScalar = function (scalar) { this.x *= scalar; this.y *= scalar; this.z *= scalar; return this; }; //×乘 Vertex.prototype.cross = function (vertex) { var x = this.x, y = this.y, z = this.z; this.x = y * vertex.z - z * vertex.y; this.y = z * vertex.x - x * vertex.z; this.z = x * vertex.y - y * vertex.x; return this; }; Vertex.prototype.normalize = function () { var length = Math.sqrt(this.x * this.x + this.y * this.y + this.z * this.z); this.x /= length; this.y /= length; this.z /= length; return this; }; //点乘 Vertex.prototype.dot = function (vertex) { return this.x * vertex.x + this.y * vertex.y + this.z * vertex.z; }; //线性插值 Vertex.prototype.lerp = function (a, t) { this.add(a.clone().subtract(this).multiplyScalar(t)); this.normal.add(a.normal.clone().sub(this.normal).multiplyScalar(t)); this.uv.add(a.uv.clone().sub(this.uv).multiplyScalar(t)); return this; }; //插值 Vertex.prototype.interpolate = function (other, t) { return this.clone().lerp(other, t); }; Vertex.prototype.applyMatrix4 = function (m) { // input: THREE.Matrix4 affine matrix var x = this.x, y = this.y, z = this.z; var e = m.elements; this.x = e[0] * x + e[4] * y + e[8] * z + e[12]; this.y = e[1] * x + e[5] * y + e[9] * z + e[13]; this.z = e[2] * x + e[6] * y + e[10] * z + e[14]; return this; }; return Vertex; }()); exports.Vertex = Vertex; var Node = /** @class */ (function () { function Node(polygons) { var i, polygon_count, front = [], back = []; this.polygons = []; this.front = this.back = undefined; if (!(polygons instanceof Array) || polygons.length === 0) return; this.divider = polygons[0].clone(); for (i = 0, polygon_count = polygons.length; i < polygon_count; i++) { this.divider.splitPolygon(polygons[i], this.polygons, this.polygons, front, back); } if (front.length > 0) { this.front = new Node(front); } if (back.length > 0) { this.back = new Node(back); } } //是凸的? 凸包? Node.prototype.isConvex = function (polygons) { var i, j; for (i = 0; i < polygons.length; i++) { for (j = 0; j < polygons.length; j++) { if (i !== j && polygons[i].classifySide(polygons[j]) !== BACK) { return false; } } } return true; }; Node.prototype.build = function (polygons) { var i, polygon_count, front = [], back = []; if (!this.divider) { this.divider = polygons[0].clone(); } for (i = 0, polygon_count = polygons.length; i < polygon_count; i++) { this.divider.splitPolygon(polygons[i], this.polygons, this.polygons, front, back); } if (front.length > 0) { if (!this.front) this.front = new Node(); this.front.build(front); } if (back.length > 0) { if (!this.back) this.back = new Node(); this.back.build(back); } }; Node.prototype.allPolygons = function () { var polygons = this.polygons.slice(); if (this.front) polygons = polygons.concat(this.front.allPolygons()); if (this.back) polygons = polygons.concat(this.back.allPolygons()); return polygons; }; Node.prototype.clone = function () { var node = new Node(); node.divider = this.divider.clone(); node.polygons = this.polygons.map(function (polygon) { return polygon.clone(); }); node.front = this.front && this.front.clone(); node.back = this.back && this.back.clone(); return node; }; //反转 Node.prototype.invert = function () { var i, polygon_count, temp; for (i = 0, polygon_count = this.polygons.length; i < polygon_count; i++) { this.polygons[i].flip(); } this.divider.flip(); if (this.front) this.front.invert(); if (this.back) this.back.invert(); temp = this.front; this.front = this.back; this.back = temp; return this; }; // Node.prototype.clipPolygons = function (polygons) { var i, polygon_count, front, back; if (!this.divider) return polygons.slice(); front = []; back = []; for (i = 0, polygon_count = polygons.length; i < polygon_count; i++) { this.divider.splitPolygon(polygons[i], front, back, front, back); } if (this.front) front = this.front.clipPolygons(front); if (this.back) back = this.back.clipPolygons(back); else back = []; return front.concat(back); }; Node.prototype.clipTo = function (node) { this.polygons = node.clipPolygons(this.polygons); if (this.front) this.front.clipTo(node); if (this.back) this.back.clipTo(node); }; return Node; }()); exports.Node = Node; //# sourceMappingURL=ThreeCSG.js.map