--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/toolkit/javascript/d3/src/geom/quadtree.js Thu Apr 10 14:20:23 2014 +0200
@@ -0,0 +1,129 @@
+// Constructs a new quadtree for the specified array of points. A quadtree is a
+// two-dimensional recursive spatial subdivision. This implementation uses
+// square partitions, dividing each square into four equally-sized squares. Each
+// point exists in a unique node; if multiple points are in the same position,
+// some points may be stored on internal nodes rather than leaf nodes. Quadtrees
+// can be used to accelerate various spatial operations, such as the Barnes-Hut
+// approximation for computing n-body forces, or collision detection.
+d3.geom.quadtree = function(points, x1, y1, x2, y2) {
+ var p,
+ i = -1,
+ n = points.length;
+
+ // Type conversion for deprecated API.
+ if (n && isNaN(points[0].x)) points = points.map(d3_geom_quadtreePoint);
+
+ // Allow bounds to be specified explicitly.
+ if (arguments.length < 5) {
+ if (arguments.length === 3) {
+ y2 = x2 = y1;
+ y1 = x1;
+ } else {
+ x1 = y1 = Infinity;
+ x2 = y2 = -Infinity;
+
+ // Compute bounds.
+ while (++i < n) {
+ p = points[i];
+ if (p.x < x1) x1 = p.x;
+ if (p.y < y1) y1 = p.y;
+ if (p.x > x2) x2 = p.x;
+ if (p.y > y2) y2 = p.y;
+ }
+
+ // Squarify the bounds.
+ var dx = x2 - x1,
+ dy = y2 - y1;
+ if (dx > dy) y2 = y1 + dx;
+ else x2 = x1 + dy;
+ }
+ }
+
+ // Recursively inserts the specified point p at the node n or one of its
+ // descendants. The bounds are defined by [x1, x2] and [y1, y2].
+ function insert(n, p, x1, y1, x2, y2) {
+ if (isNaN(p.x) || isNaN(p.y)) return; // ignore invalid points
+ if (n.leaf) {
+ var v = n.point;
+ if (v) {
+ // If the point at this leaf node is at the same position as the new
+ // point we are adding, we leave the point associated with the
+ // internal node while adding the new point to a child node. This
+ // avoids infinite recursion.
+ if ((Math.abs(v.x - p.x) + Math.abs(v.y - p.y)) < .01) {
+ insertChild(n, p, x1, y1, x2, y2);
+ } else {
+ n.point = null;
+ insertChild(n, v, x1, y1, x2, y2);
+ insertChild(n, p, x1, y1, x2, y2);
+ }
+ } else {
+ n.point = p;
+ }
+ } else {
+ insertChild(n, p, x1, y1, x2, y2);
+ }
+ }
+
+ // Recursively inserts the specified point p into a descendant of node n. The
+ // bounds are defined by [x1, x2] and [y1, y2].
+ function insertChild(n, p, x1, y1, x2, y2) {
+ // Compute the split point, and the quadrant in which to insert p.
+ var sx = (x1 + x2) * .5,
+ sy = (y1 + y2) * .5,
+ right = p.x >= sx,
+ bottom = p.y >= sy,
+ i = (bottom << 1) + right;
+
+ // Recursively insert into the child node.
+ n.leaf = false;
+ n = n.nodes[i] || (n.nodes[i] = d3_geom_quadtreeNode());
+
+ // Update the bounds as we recurse.
+ if (right) x1 = sx; else x2 = sx;
+ if (bottom) y1 = sy; else y2 = sy;
+ insert(n, p, x1, y1, x2, y2);
+ }
+
+ // Create the root node.
+ var root = d3_geom_quadtreeNode();
+
+ root.add = function(p) {
+ insert(root, p, x1, y1, x2, y2);
+ };
+
+ root.visit = function(f) {
+ d3_geom_quadtreeVisit(f, root, x1, y1, x2, y2);
+ };
+
+ // Insert all points.
+ points.forEach(root.add);
+ return root;
+};
+
+function d3_geom_quadtreeNode() {
+ return {
+ leaf: true,
+ nodes: [],
+ point: null
+ };
+}
+
+function d3_geom_quadtreeVisit(f, node, x1, y1, x2, y2) {
+ if (!f(node, x1, y1, x2, y2)) {
+ var sx = (x1 + x2) * .5,
+ sy = (y1 + y2) * .5,
+ children = node.nodes;
+ if (children[0]) d3_geom_quadtreeVisit(f, children[0], x1, y1, sx, sy);
+ if (children[1]) d3_geom_quadtreeVisit(f, children[1], sx, y1, x2, sy);
+ if (children[2]) d3_geom_quadtreeVisit(f, children[2], x1, sy, sx, y2);
+ if (children[3]) d3_geom_quadtreeVisit(f, children[3], sx, sy, x2, y2);
+ }
+}
+
+function d3_geom_quadtreePoint(p) {
+ return {
+ x: p[0],
+ y: p[1]
+ };
+}