1 // Copyright 2014 The Chromium Authors. All rights reserved.
2 // Use of this source code is governed by a BSD-style license that can be
3 // found in the LICENSE file.
8 * Orientation of a line.
17 * Map from keysetId to layout.
18 * @type {Map<String,KeysetLayout>}
24 * Container for storing a keyset's layout.
26 var KeysetLayout = function() {
30 KeysetLayout.prototype = {
32 * All keys in the keyset.
38 * Spacial partitioning of all keys in the keyset.
39 * @type {DecisionNode}
44 * Add a key to the keyset.
51 * Regenerates a decision tree using the keys in the keyset.
53 regenerateTree: function() {
54 // Split using horizontal lines first, as keyboards tend to be
56 var splits = findSplits(this.keys, Orientation.HORIZONTAL);
57 this.tree = createBinaryTree(0, splits.length - 1, splits);
59 this.tree.populate(this.keys);
63 * Searches the tree for the key closest to the point provided.
64 * @param {number} x The x-coordinate.
65 * @param {number} y The y-coordinate.
66 * @return {?kb-key} The key, or null if none found.
68 findClosestKey: function(x, y) {
69 var closestNode = this.tree.findClosestNode(x, y);
70 var key = closestNode.data;
73 // Ignore touches that aren't close.
74 return key.distanceTo(x,y) <= MAX_TOUCH_FUZZ_DISTANCE ?
79 * Returns the position data of all keys in this keyset.
80 * @return {Array<Map>}
82 getLayout: function() {
83 return this.keys.map(function(key) {
90 * Container for caching a key's data.
91 * @param {Object} key The key to cache.
92 * @param {number} left The x-coordinate of the left edge of the key.
93 * @param {number} top The y-coordinate of the top edge of the key.
94 * @param {number} width The width of the key in px.
95 * @param {number} height The height of the key in px.
97 var Key = function(key) {
99 var style = key.style;
100 this.top = parseFloat(style.top) - KEY_PADDING_TOP;
101 this.left = parseFloat(style.left);
102 this.right = this.left + parseFloat(style.width);
103 this.bottom = this.top + parseFloat(style.height) + KEY_PADDING_TOP
104 + KEY_PADDING_BOTTOM;
109 * Manhattan distance from the the provided point to the key.
110 * @param {number} x The x-coordinate of the point.
111 * @param {number} y The y-coordinate of the point.
114 distanceTo: function (x, y) {
115 return Math.abs(this.intersect(new Line(x))) +
116 Math.abs(this.intersect(new Line(y, true)));
120 * Checks whether the key intersects with the line provided.
121 * @param {!Line} line The line.
122 * @return {number} Zero if it intersects, signed manhattan distance if it
125 intersect: function(line) {
126 var min = line.rotated ? this.top : this.left;
127 var max = line.rotated ? this.bottom : this.right;
128 return (line.c > max) ? line.c - max : Math.min(0, line.c - min);
132 * Returns the Key as a map.
133 * @return {Map<String,number>}
139 'width': this.right - this.left,
140 'height': this.bottom - this.bottom,
146 * Object representing the line y = c or x = c.
147 * @param {number} The x or y coordinate of the intersection line depending on
149 * @param {Orientation} orientation The orientation of the line.
151 var Line = function(c, orientation) {
153 this.rotated = orientation;
158 * The position of the provided point in relation to the line.
159 * @param {number} x The x-coordinate of the point.
160 * @param {number} y The y-coordinate of the point.
161 * @return {number} Zero if they intersect, negative if the point is before
162 * the line, positive if it's after.
164 testPoint: function (x, y) {
165 var c = this.rotated ? y : x;
166 return this.c == c ? 0 : c - this.c;
169 test: function (key) {
170 // Key already provides an intersect method. If the key is to the right of
171 // the line, then the line is to the left of the key.
172 return -1 * key.intersect(this);
177 * A node used to split 2D space.
178 * @param {Line} The line to split the space with.
180 var DecisionNode = function(line) {
181 this.decision = line;
184 DecisionNode.prototype = {
186 * The test whether to proceed in the left or right branch.
192 * The branch for nodes that failed the decision test.
193 * @type {?DecisionNode}
198 * The branch for nodes that passed the decision test.
199 * @type {?DecisionNode}
204 * Finds the node closest to the point provided.
205 * @param {number} x The x-coordinate.
206 * @param {number} y The y-coordinate.
207 * @return {DecisionNode | LeafNode}
209 findClosestNode: function(x, y) {
210 return this.search(function(node){
211 return node.decision.testPoint(x,y) >= 0;
216 * Populates the decision tree with elements.
217 * @param {Array{Key}} The child elements.
219 populate: function(data) {
224 for (var i = 0; i< data.length; i++) {
225 var result = this.decision.test(data[i]);
226 // Add to both branches if result == 0.
232 var currentRotation = this.decision.rotated;
234 * Splits the tree further such that each leaf has exactly one data point.
235 * @param {Array} array The data points.
236 * @return {DecisionNode | LeafNode} The new branch for the tree.
238 var updateBranch = function(array) {
239 if (array.length == 1) {
240 return new LeafNode(array[0]);
242 var splits = findSplits(array, !currentRotation)
243 var tree = createBinaryTree(0, splits.length - 1, splits);
244 tree.populate(array);
248 // All elements that passed the decision test.
249 if (pass.length > 0) {
251 this.pass.populate(pass);
253 this.pass = updateBranch(pass);
255 // All elements that failed the decision test.
256 if (fail.length > 0) {
258 this.fail.populate(fail);
260 this.fail = updateBranch(fail);
265 * Searches for the first leaf that matches the search function.
266 * @param {Function<DecisionNode>: Boolean} searchFn The function used to
267 * determine whether to search in the left or right subtree.
268 * @param {DecisionNode | LeafNode} The node that most closely matches the
271 search: function(searchFn) {
272 if (searchFn(this)) {
273 return this.pass ? this.pass.search(searchFn) : this;
275 return this.fail ? this.fail.search(searchFn) : this;
279 * Tests whether the key belongs in the left or right branch of this node.
280 * @param {Key} key The key being tested.
281 * @return {boolean} Whether it belongs in the right branch.
283 test: function(key) {
284 return this.decision.testKey(key)
289 * Structure representing a leaf in the decision tree. It contains a single
292 var LeafNode = function(data) {
296 LeafNode.prototype = {
303 * Converts the array to a binary tree.
304 * @param {number} start The start index.
305 * @param {number} end The end index.
306 * @param {Array} nodes The array to convert.
307 * @return {DecisionNode}
309 var createBinaryTree = function(start, end, nodes) {
312 var midpoint = Math.floor((end + start)/2);
313 var root = new DecisionNode(nodes[midpoint]);
314 root.fail = createBinaryTree(start, midpoint - 1, nodes);
315 root.pass = createBinaryTree(midpoint + 1, end, nodes);
320 * Calculates the optimum split points on the specified axis.
321 * @param {Array<Keys>} allKeys All keys in the keyset.
322 * @param {Partition=} axis Whether to split on the y-axis instead.
323 * @return {Array<Line>} The optimum split points.
325 var findSplits = function(allKeys, orientation) {
327 * Returns the minimum edge on the key.
328 * @param {Key} The key.
331 var getMin = function(key) {
332 return orientation == Orientation.HORIZONTAL ? key.top : key.left;
336 * Returns the maximum edge on the key.
337 * @param {Key} The key.
339 var getMax = function(key) {
340 return orientation == Orientation.HORIZONTAL ? key.bottom : key.right;
344 * Returns a duplicate free version of array.
345 * @param {Array} array A sorted array.
346 * @return {Array} Sorted array without duplicates.
348 var unique = function(array) {
350 for (var i = 0; i< array.length; i++) {
351 if (i == 0 || result[result.length -1] != array[i])
352 result.push(array[i]);
358 * Creates an array of zeroes.
359 * @param {number} length The length of the array.
360 * @return {Array{number}}
362 var zeroes = function(length) {
363 var array = new Array(length);
364 for (var i = 0; i < length; i++) {
369 // All edges of keys.
371 for (var i = 0; i < allKeys.length; i++) {
372 var key = allKeys[i];
373 var min = getMin(key);
374 var max = getMax(key);
378 // Array.sort() sorts lexicographically by default.
379 edges.sort(function(a, b) {
382 edges = unique(edges);
383 // Container for projection sum from edge i to edge i + 1.
384 var intervalWeight = zeroes(edges.length);
386 for (var i = 0; i < allKeys.length; i++) {
387 var key = allKeys[i];
388 var min = getMin(key);
389 var max = getMax(key);
391 exports.binarySearch(edges, 0, edges.length - 1, function(index) {
392 var edge = edges[index];
393 return edge == min ? 0 : min - edge;
395 if (index < 0 || min != edges[index]) {
396 console.error("Unable to split keys.");
399 // Key can span multiple edges.
400 for (var j = index; j < edges.length && edges[j] < max; j++) {
401 intervalWeight[j] ++;
406 // Min and max are bad splits.
407 for (var i = 1; i < intervalWeight.length - 1; i++) {
408 if (intervalWeight[i] < intervalWeight[i - 1]) {
409 var mid = Math.abs((edges[i] + edges[i+1]) / 2)
410 splits.push(new Line(mid, orientation));
417 * Caches the layout of current keysets.
419 function recordKeysets_() {
421 var keysets = $('keyboard').querySelectorAll('kb-keyset').array();
422 for (var i = 0; i < keysets.length; i++) {
423 var keyset = keysets[i];
424 var layout = new KeysetLayout();
425 var rows = keyset.querySelectorAll('kb-row').array();
426 for (var j = 0; j < rows.length; j++) {
428 var nodes = row.children;
429 for (var k = 0 ; k < nodes.length; k++) {
430 layout.add(new Key(nodes[k]));
433 layout.regenerateTree();
434 layouts[keyset.id] = layout;
439 * Returns the layout of the keyset.
440 * @param{!String} id The id of the keyset.
443 var getKeysetLayout_ = function(id) {
447 exports.getKeysetLayout = getKeysetLayout_;
448 exports.recordKeysets = recordKeysets_;