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+ Fractal Example
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Fractal Example
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Example of a fractal.
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fractal, vector
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diff --git a/examples/fractal.js b/examples/fractal.js
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+goog.require('ol.Feature');
+goog.require('ol.Map');
+goog.require('ol.View2D');
+goog.require('ol.geom.LineString');
+goog.require('ol.layer.Vector');
+goog.require('ol.source.Vector');
+
+var radius = 10e6;
+var cos30 = Math.cos(Math.PI / 6);
+var sin30 = Math.sin(Math.PI / 6);
+var rise = radius * sin30;
+var run = radius * cos30;
+
+var triangle = new ol.geom.LineString([
+ [0, radius], [run, -rise], [-run, -rise], [0, radius]
+]);
+
+var feature = new ol.Feature(triangle);
+
+var layer = new ol.layer.Vector({
+ source: new ol.source.Vector({
+ features: [feature]
+ })
+});
+
+var map = new ol.Map({
+ layers: [layer],
+ renderer: 'canvas',
+ target: 'map',
+ view: new ol.View2D({
+ center: [0, 0],
+ zoom: 1
+ })
+});
+
+function makeFractal(depth) {
+ var geometry = /** @type {ol.geom.LineString} */ (triangle.clone());
+ var graph = coordsToGraph(geometry.getCoordinates());
+ for (var i = 0; i < depth; ++i) {
+ var node = graph;
+ while (node.next) {
+ var next = node.next;
+ injectNodes(node);
+ node = next;
+ }
+ }
+ var coordinates = graphToCoords(graph);
+ document.getElementById('count').innerHTML = coordinates.length;
+ geometry.setCoordinates(coordinates);
+ feature.setGeometry(geometry);
+}
+
+function injectNodes(startNode) {
+ var endNode = startNode.next;
+
+ var start = startNode.point;
+ var end = startNode.next.point;
+ var dx = end[0] - start[0];
+ var dy = end[1] - start[1];
+
+ // first point at 1/3 along the segment
+ var firstNode = {
+ point: [start[0] + dx / 3, start[1] + dy / 3]
+ };
+
+ // second point at peak of _/\_
+ var r = Math.sqrt(dx * dx + dy * dy) / (2 * cos30);
+ var a = Math.atan2(dy, dx) + Math.PI / 6;
+ var secondNode = {
+ point: [start[0] + r * Math.cos(a), start[1] + r * Math.sin(a)]
+ };
+
+ // third point at 2/3 along the segment
+ var thirdNode = {
+ point: [end[0] - dx / 3, end[1] - dy / 3]
+ };
+
+ startNode.next = firstNode;
+ firstNode.next = secondNode;
+ secondNode.next = thirdNode;
+ thirdNode.next = endNode;
+}
+
+
+function coordsToGraph(coordinates) {
+ var graph = {
+ point: coordinates[0]
+ };
+ var length = coordinates.length;
+ for (var level = 0, node = graph; level < length - 1; ++level) {
+ node.next = {
+ point: coordinates[level + 1]
+ };
+ node = node.next;
+ }
+ return graph;
+}
+
+function graphToCoords(graph) {
+ var coordinates = [graph.point];
+ for (var node = graph, i = 1; node.next; node = node.next, ++i) {
+ coordinates[i] = node.next.point;
+ }
+ return coordinates;
+}
+
+var depthInput = document.getElementById('depth');
+
+function update() {
+ makeFractal(Number(depthInput.value));
+}
+
+var updateTimer;
+
+
+/**
+ * Regenerate fractal on depth change. Change events are debounced so updates
+ * only occur every 200ms.
+ */
+depthInput.onchange = function() {
+ window.clearTimeout(updateTimer);
+ updateTimer = window.setTimeout(update, 200);
+};
+
+update();