// https://github.com/vasturiano/d3-octree v0.2.0 Copyright 2021 Vasco Asturiano (function (global, factory) { typeof exports === 'object' && typeof module !== 'undefined' ? factory(exports) : typeof define === 'function' && define.amd ? define(['exports'], factory) : (global = typeof globalThis !== 'undefined' ? globalThis : global || self, factory(global.d3 = global.d3 || {})); }(this, (function (exports) { 'use strict'; function tree_add(d) { var x = +this._x.call(null, d), y = +this._y.call(null, d), z = +this._z.call(null, d); return add(this.cover(x, y, z), x, y, z, d); } function add(tree, x, y, z, d) { if (isNaN(x) || isNaN(y) || isNaN(z)) return tree; // ignore invalid points var parent, node = tree._root, leaf = {data: d}, x0 = tree._x0, y0 = tree._y0, z0 = tree._z0, x1 = tree._x1, y1 = tree._y1, z1 = tree._z1, xm, ym, zm, xp, yp, zp, right, bottom, deep, i, j; // If the tree is empty, initialize the root as a leaf. if (!node) return tree._root = leaf, tree; // Find the existing leaf for the new point, or add it. while (node.length) { if (right = x >= (xm = (x0 + x1) / 2)) x0 = xm; else x1 = xm; if (bottom = y >= (ym = (y0 + y1) / 2)) y0 = ym; else y1 = ym; if (deep = z >= (zm = (z0 + z1) / 2)) z0 = zm; else z1 = zm; if (parent = node, !(node = node[i = deep << 2 | bottom << 1 | right])) return parent[i] = leaf, tree; } // Is the new point is exactly coincident with the existing point? xp = +tree._x.call(null, node.data); yp = +tree._y.call(null, node.data); zp = +tree._z.call(null, node.data); if (x === xp && y === yp && z === zp) return leaf.next = node, parent ? parent[i] = leaf : tree._root = leaf, tree; // Otherwise, split the leaf node until the old and new point are separated. do { parent = parent ? parent[i] = new Array(8) : tree._root = new Array(8); if (right = x >= (xm = (x0 + x1) / 2)) x0 = xm; else x1 = xm; if (bottom = y >= (ym = (y0 + y1) / 2)) y0 = ym; else y1 = ym; if (deep = z >= (zm = (z0 + z1) / 2)) z0 = zm; else z1 = zm; } while ((i = deep << 2 | bottom << 1 | right) === (j = (zp >= zm) << 2 | (yp >= ym) << 1 | (xp >= xm))); return parent[j] = node, parent[i] = leaf, tree; } function addAll(data) { var d, i, n = data.length, x, y, z, xz = new Array(n), yz = new Array(n), zz = new Array(n), x0 = Infinity, y0 = Infinity, z0 = Infinity, x1 = -Infinity, y1 = -Infinity, z1 = -Infinity; // Compute the points and their extent. for (i = 0; i < n; ++i) { if (isNaN(x = +this._x.call(null, d = data[i])) || isNaN(y = +this._y.call(null, d)) || isNaN(z = +this._z.call(null, d))) continue; xz[i] = x; yz[i] = y; zz[i] = z; if (x < x0) x0 = x; if (x > x1) x1 = x; if (y < y0) y0 = y; if (y > y1) y1 = y; if (z < z0) z0 = z; if (z > z1) z1 = z; } // If there were no (valid) points, abort. if (x0 > x1 || y0 > y1 || z0 > z1) return this; // Expand the tree to cover the new points. this.cover(x0, y0, z0).cover(x1, y1, z1); // Add the new points. for (i = 0; i < n; ++i) { add(this, xz[i], yz[i], zz[i], data[i]); } return this; } function tree_cover(x, y, z) { if (isNaN(x = +x) || isNaN(y = +y) || isNaN(z = +z)) return this; // ignore invalid points var x0 = this._x0, y0 = this._y0, z0 = this._z0, x1 = this._x1, y1 = this._y1, z1 = this._z1; // If the octree has no extent, initialize them. // Integer extent are necessary so that if we later double the extent, // the existing octant boundaries don’t change due to floating point error! if (isNaN(x0)) { x1 = (x0 = Math.floor(x)) + 1; y1 = (y0 = Math.floor(y)) + 1; z1 = (z0 = Math.floor(z)) + 1; } // Otherwise, double repeatedly to cover. else { var t = x1 - x0 || 1, node = this._root, parent, i; while (x0 > x || x >= x1 || y0 > y || y >= y1 || z0 > z || z >= z1) { i = (z < z0) << 2 | (y < y0) << 1 | (x < x0); parent = new Array(8), parent[i] = node, node = parent, t *= 2; switch (i) { case 0: x1 = x0 + t, y1 = y0 + t, z1 = z0 + t; break; case 1: x0 = x1 - t, y1 = y0 + t, z1 = z0 + t; break; case 2: x1 = x0 + t, y0 = y1 - t, z1 = z0 + t; break; case 3: x0 = x1 - t, y0 = y1 - t, z1 = z0 + t; break; case 4: x1 = x0 + t, y1 = y0 + t, z0 = z1 - t; break; case 5: x0 = x1 - t, y1 = y0 + t, z0 = z1 - t; break; case 6: x1 = x0 + t, y0 = y1 - t, z0 = z1 - t; break; case 7: x0 = x1 - t, y0 = y1 - t, z0 = z1 - t; break; } } if (this._root && this._root.length) this._root = node; } this._x0 = x0; this._y0 = y0; this._z0 = z0; this._x1 = x1; this._y1 = y1; this._z1 = z1; return this; } function tree_data() { var data = []; this.visit(function(node) { if (!node.length) do data.push(node.data); while (node = node.next) }); return data; } function tree_extent(_) { return arguments.length ? this.cover(+_[0][0], +_[0][1], +_[0][2]).cover(+_[1][0], +_[1][1], +_[1][2]) : isNaN(this._x0) ? undefined : [[this._x0, this._y0, this._z0], [this._x1, this._y1, this._z1]]; } function Octant(node, x0, y0, z0, x1, y1, z1) { this.node = node; this.x0 = x0; this.y0 = y0; this.z0 = z0; this.x1 = x1; this.y1 = y1; this.z1 = z1; } function tree_find(x, y, z, radius) { var data, x0 = this._x0, y0 = this._y0, z0 = this._z0, x1, y1, z1, x2, y2, z2, x3 = this._x1, y3 = this._y1, z3 = this._z1, octs = [], node = this._root, q, i; if (node) octs.push(new Octant(node, x0, y0, z0, x3, y3, z3)); if (radius == null) radius = Infinity; else { x0 = x - radius, y0 = y - radius, z0 = z - radius; x3 = x + radius, y3 = y + radius, z3 = z + radius; radius *= radius; } while (q = octs.pop()) { // Stop searching if this octant can’t contain a closer node. if (!(node = q.node) || (x1 = q.x0) > x3 || (y1 = q.y0) > y3 || (z1 = q.z0) > z3 || (x2 = q.x1) < x0 || (y2 = q.y1) < y0 || (z2 = q.z1) < z0) continue; // Bisect the current octant. if (node.length) { var xm = (x1 + x2) / 2, ym = (y1 + y2) / 2, zm = (z1 + z2) / 2; octs.push( new Octant(node[7], xm, ym, zm, x2, y2, z2), new Octant(node[6], x1, ym, zm, xm, y2, z2), new Octant(node[5], xm, y1, zm, x2, ym, z2), new Octant(node[4], x1, y1, zm, xm, ym, z2), new Octant(node[3], xm, ym, z1, x2, y2, zm), new Octant(node[2], x1, ym, z1, xm, y2, zm), new Octant(node[1], xm, y1, z1, x2, ym, zm), new Octant(node[0], x1, y1, z1, xm, ym, zm) ); // Visit the closest octant first. if (i = (z >= zm) << 2 | (y >= ym) << 1 | (x >= xm)) { q = octs[octs.length - 1]; octs[octs.length - 1] = octs[octs.length - 1 - i]; octs[octs.length - 1 - i] = q; } } // Visit this point. (Visiting coincident points isn’t necessary!) else { var dx = x - +this._x.call(null, node.data), dy = y - +this._y.call(null, node.data), dz = z - +this._z.call(null, node.data), d2 = dx * dx + dy * dy + dz * dz; if (d2 < radius) { var d = Math.sqrt(radius = d2); x0 = x - d, y0 = y - d, z0 = z - d; x3 = x + d, y3 = y + d, z3 = z + d; data = node.data; } } } return data; } function tree_remove(d) { if (isNaN(x = +this._x.call(null, d)) || isNaN(y = +this._y.call(null, d)) || isNaN(z = +this._z.call(null, d))) return this; // ignore invalid points var parent, node = this._root, retainer, previous, next, x0 = this._x0, y0 = this._y0, z0 = this._z0, x1 = this._x1, y1 = this._y1, z1 = this._z1, x, y, z, xm, ym, zm, right, bottom, deep, i, j; // If the tree is empty, initialize the root as a leaf. if (!node) return this; // Find the leaf node for the point. // While descending, also retain the deepest parent with a non-removed sibling. if (node.length) while (true) { if (right = x >= (xm = (x0 + x1) / 2)) x0 = xm; else x1 = xm; if (bottom = y >= (ym = (y0 + y1) / 2)) y0 = ym; else y1 = ym; if (deep = z >= (zm = (z0 + z1) / 2)) z0 = zm; else z1 = zm; if (!(parent = node, node = node[i = deep << 2 | bottom << 1 | right])) return this; if (!node.length) break; if (parent[(i + 1) & 7] || parent[(i + 2) & 7] || parent[(i + 3) & 7] || parent[(i + 4) & 7] || parent[(i + 5) & 7] || parent[(i + 6) & 7] || parent[(i + 7) & 7]) retainer = parent, j = i; } // Find the point to remove. while (node.data !== d) if (!(previous = node, node = node.next)) return this; if (next = node.next) delete node.next; // If there are multiple coincident points, remove just the point. if (previous) return (next ? previous.next = next : delete previous.next), this; // If this is the root point, remove it. if (!parent) return this._root = next, this; // Remove this leaf. next ? parent[i] = next : delete parent[i]; // If the parent now contains exactly one leaf, collapse superfluous parents. if ((node = parent[0] || parent[1] || parent[2] || parent[3] || parent[4] || parent[5] || parent[6] || parent[7]) && node === (parent[7] || parent[6] || parent[5] || parent[4] || parent[3] || parent[2] || parent[1] || parent[0]) && !node.length) { if (retainer) retainer[j] = node; else this._root = node; } return this; } function removeAll(data) { for (var i = 0, n = data.length; i < n; ++i) this.remove(data[i]); return this; } function tree_root() { return this._root; } function tree_size() { var size = 0; this.visit(function(node) { if (!node.length) do ++size; while (node = node.next) }); return size; } function tree_visit(callback) { var octs = [], q, node = this._root, child, x0, y0, z0, x1, y1, z1; if (node) octs.push(new Octant(node, this._x0, this._y0, this._z0, this._x1, this._y1, this._z1)); while (q = octs.pop()) { if (!callback(node = q.node, x0 = q.x0, y0 = q.y0, z0 = q.z0, x1 = q.x1, y1 = q.y1, z1 = q.z1) && node.length) { var xm = (x0 + x1) / 2, ym = (y0 + y1) / 2, zm = (z0 + z1) / 2; if (child = node[7]) octs.push(new Octant(child, xm, ym, zm, x1, y1, z1)); if (child = node[6]) octs.push(new Octant(child, x0, ym, zm, xm, y1, z1)); if (child = node[5]) octs.push(new Octant(child, xm, y0, zm, x1, ym, z1)); if (child = node[4]) octs.push(new Octant(child, x0, y0, zm, xm, ym, z1)); if (child = node[3]) octs.push(new Octant(child, xm, ym, z0, x1, y1, zm)); if (child = node[2]) octs.push(new Octant(child, x0, ym, z0, xm, y1, zm)); if (child = node[1]) octs.push(new Octant(child, xm, y0, z0, x1, ym, zm)); if (child = node[0]) octs.push(new Octant(child, x0, y0, z0, xm, ym, zm)); } } return this; } function tree_visitAfter(callback) { var octs = [], next = [], q; if (this._root) octs.push(new Octant(this._root, this._x0, this._y0, this._z0, this._x1, this._y1, this._z1)); while (q = octs.pop()) { var node = q.node; if (node.length) { var child, x0 = q.x0, y0 = q.y0, z0 = q.z0, x1 = q.x1, y1 = q.y1, z1 = q.z1, xm = (x0 + x1) / 2, ym = (y0 + y1) / 2, zm = (z0 + z1) / 2; if (child = node[0]) octs.push(new Octant(child, x0, y0, z0, xm, ym, zm)); if (child = node[1]) octs.push(new Octant(child, xm, y0, z0, x1, ym, zm)); if (child = node[2]) octs.push(new Octant(child, x0, ym, z0, xm, y1, zm)); if (child = node[3]) octs.push(new Octant(child, xm, ym, z0, x1, y1, zm)); if (child = node[4]) octs.push(new Octant(child, x0, y0, zm, xm, ym, z1)); if (child = node[5]) octs.push(new Octant(child, xm, y0, zm, x1, ym, z1)); if (child = node[6]) octs.push(new Octant(child, x0, ym, zm, xm, y1, z1)); if (child = node[7]) octs.push(new Octant(child, xm, ym, zm, x1, y1, z1)); } next.push(q); } while (q = next.pop()) { callback(q.node, q.x0, q.y0, q.z0, q.x1, q.y1, q.z1); } return this; } function defaultX(d) { return d[0]; } function tree_x(_) { return arguments.length ? (this._x = _, this) : this._x; } function defaultY(d) { return d[1]; } function tree_y(_) { return arguments.length ? (this._y = _, this) : this._y; } function defaultZ(d) { return d[2]; } function tree_z(_) { return arguments.length ? (this._z = _, this) : this._z; } function octree(nodes, x, y, z) { var tree = new Octree(x == null ? defaultX : x, y == null ? defaultY : y, z == null ? defaultZ : z, NaN, NaN, NaN, NaN, NaN, NaN); return nodes == null ? tree : tree.addAll(nodes); } function Octree(x, y, z, x0, y0, z0, x1, y1, z1) { this._x = x; this._y = y; this._z = z; this._x0 = x0; this._y0 = y0; this._z0 = z0; this._x1 = x1; this._y1 = y1; this._z1 = z1; this._root = undefined; } function leaf_copy(leaf) { var copy = {data: leaf.data}, next = copy; while (leaf = leaf.next) next = next.next = {data: leaf.data}; return copy; } var treeProto = octree.prototype = Octree.prototype; treeProto.copy = function() { var copy = new Octree(this._x, this._y, this._z, this._x0, this._y0, this._z0, this._x1, this._y1, this._z1), node = this._root, nodes, child; if (!node) return copy; if (!node.length) return copy._root = leaf_copy(node), copy; nodes = [{source: node, target: copy._root = new Array(8)}]; while (node = nodes.pop()) { for (var i = 0; i < 8; ++i) { if (child = node.source[i]) { if (child.length) nodes.push({source: child, target: node.target[i] = new Array(8)}); else node.target[i] = leaf_copy(child); } } } return copy; }; treeProto.add = tree_add; treeProto.addAll = addAll; treeProto.cover = tree_cover; treeProto.data = tree_data; treeProto.extent = tree_extent; treeProto.find = tree_find; treeProto.remove = tree_remove; treeProto.removeAll = removeAll; treeProto.root = tree_root; treeProto.size = tree_size; treeProto.visit = tree_visit; treeProto.visitAfter = tree_visitAfter; treeProto.x = tree_x; treeProto.y = tree_y; treeProto.z = tree_z; exports.octree = octree; Object.defineProperty(exports, '__esModule', { value: true }); })));