diff --git a/lib/galaxy/web/controllers/tracks.py b/lib/galaxy/web/controllers/tracks.py index bbbc3db41ce..abc5f5471af 100644 --- a/lib/galaxy/web/controllers/tracks.py +++ b/lib/galaxy/web/controllers/tracks.py @@ -826,6 +826,29 @@ class TracksController( BaseUIController, UsesVisualization, UsesHistoryDatasetA return self.add_track_async( trans, output_dataset.id ) + @web.expose + @web.require_login( "use Galaxy visualizations", use_panels=True ) + def circos( self, trans, hda_ldda, dataset_id ): + # Get dataset. + dataset = self._get_dataset( trans, hda_ldda, dataset_id ) + + # Get genome info. + dbkey = dataset.dbkey + chroms_info = self.genomes.chroms( trans, dbkey=dbkey ) + genome = { 'dbkey': dbkey, 'chroms_info': chroms_info } + + # Get summary tree data for dataset. + data_sources = self._get_datasources( trans, dataset ) + tracks_dataset_type = data_sources['index']['name'] + converted_dataset = dataset.get_converted_dataset( trans, tracks_dataset_type ) + indexer = get_data_provider( tracks_dataset_type )( converted_dataset, dataset ) + dataset_summary = [] + for chrom_info in chroms_info[ 'chrom_info' ]: + summary = indexer.get_summary( chrom_info[ 'chrom' ], 0, chrom_info[ 'len' ], level=4 ) + dataset_summary.append( summary ) + + return trans.fill_template_mako( "visualization/circos.mako", dataset=dataset, dataset_summary=dataset_summary, genome=genome ) + # ----------------- # Helper methods. # ----------------- diff --git a/static/scripts/libs/d3.js b/static/scripts/libs/d3.js new file mode 100644 index 00000000000..bb850ff5d14 --- /dev/null +++ b/static/scripts/libs/d3.js @@ -0,0 +1,9384 @@ +(function(){if (!Date.now) Date.now = function() { + return +new Date; +}; +try { + document.createElement("div").style.setProperty("opacity", 0, ""); +} catch (error) { + var d3_style_prototype = CSSStyleDeclaration.prototype, + d3_style_setProperty = d3_style_prototype.setProperty; + d3_style_prototype.setProperty = function(name, value, priority) { + d3_style_setProperty.call(this, name, value + "", priority); + }; +} +d3 = {version: "2.9.2"}; // semver +function d3_class(ctor, properties) { + try { + for (var key in properties) { + Object.defineProperty(ctor.prototype, key, { + value: properties[key], + enumerable: false + }); + } + } catch (e) { + ctor.prototype = properties; + } +} +var d3_array = d3_arraySlice; // conversion for NodeLists + +function d3_arrayCopy(pseudoarray) { + var i = -1, n = pseudoarray.length, array = []; + while (++i < n) array.push(pseudoarray[i]); + return array; +} + +function d3_arraySlice(pseudoarray) { + return Array.prototype.slice.call(pseudoarray); +} + +try { + d3_array(document.documentElement.childNodes)[0].nodeType; +} catch(e) { + d3_array = d3_arrayCopy; +} + +var d3_arraySubclass = [].__proto__? + +// Until ECMAScript supports array subclassing, prototype injection works well. +function(array, prototype) { + array.__proto__ = prototype; +}: + +// And if your browser doesn't support __proto__, we'll use direct extension. +function(array, prototype) { + for (var property in prototype) array[property] = prototype[property]; +}; +d3.map = function(object) { + var map = new d3_Map; + for (var key in object) map.set(key, object[key]); + return map; +}; + +function d3_Map() {} + +d3_class(d3_Map, { + has: function(key) { + return d3_map_prefix + key in this; + }, + get: function(key) { + return this[d3_map_prefix + key]; + }, + set: function(key, value) { + return this[d3_map_prefix + key] = value; + }, + remove: function(key) { + key = d3_map_prefix + key; + return key in this && delete this[key]; + }, + keys: function() { + var keys = []; + this.forEach(function(key) { keys.push(key); }); + return keys; + }, + values: function() { + var values = []; + this.forEach(function(key, value) { values.push(value); }); + return values; + }, + entries: function() { + var entries = []; + this.forEach(function(key, value) { entries.push({key: key, value: value}); }); + return entries; + }, + forEach: function(f) { + for (var key in this) { + if (key.charCodeAt(0) === d3_map_prefixCode) { + f.call(this, key.substring(1), this[key]); + } + } + } +}); + +var d3_map_prefix = "\0", // prevent collision with built-ins + d3_map_prefixCode = d3_map_prefix.charCodeAt(0); +function d3_identity(d) { + return d; +} +function d3_this() { + return this; +} +function d3_true() { + return true; +} +function d3_functor(v) { + return typeof v === "function" ? v : function() { return v; }; +} + +d3.functor = d3_functor; +// Copies a variable number of methods from source to target. +d3.rebind = function(target, source) { + var i = 1, n = arguments.length, method; + while (++i < n) target[method = arguments[i]] = d3_rebind(target, source, source[method]); + return target; +}; + +// Method is assumed to be a standard D3 getter-setter: +// If passed with no arguments, gets the value. +// If passed with arguments, sets the value and returns the target. +function d3_rebind(target, source, method) { + return function() { + var value = method.apply(source, arguments); + return arguments.length ? target : value; + }; +} +d3.ascending = function(a, b) { + return a < b ? -1 : a > b ? 1 : a >= b ? 0 : NaN; +}; +d3.descending = function(a, b) { + return b < a ? -1 : b > a ? 1 : b >= a ? 0 : NaN; +}; +d3.mean = function(array, f) { + var n = array.length, + a, + m = 0, + i = -1, + j = 0; + if (arguments.length === 1) { + while (++i < n) if (d3_number(a = array[i])) m += (a - m) / ++j; + } else { + while (++i < n) if (d3_number(a = f.call(array, array[i], i))) m += (a - m) / ++j; + } + return j ? m : undefined; +}; +d3.median = function(array, f) { + if (arguments.length > 1) array = array.map(f); + array = array.filter(d3_number); + return array.length ? d3.quantile(array.sort(d3.ascending), .5) : undefined; +}; +d3.min = function(array, f) { + var i = -1, + n = array.length, + a, + b; + if (arguments.length === 1) { + while (++i < n && ((a = array[i]) == null || a != a)) a = undefined; + while (++i < n) if ((b = array[i]) != null && a > b) a = b; + } else { + while (++i < n && ((a = f.call(array, array[i], i)) == null || a != a)) a = undefined; + while (++i < n) if ((b = f.call(array, array[i], i)) != null && a > b) a = b; + } + return a; +}; +d3.max = function(array, f) { + var i = -1, + n = array.length, + a, + b; + if (arguments.length === 1) { + while (++i < n && ((a = array[i]) == null || a != a)) a = undefined; + while (++i < n) if ((b = array[i]) != null && b > a) a = b; + } else { + while (++i < n && ((a = f.call(array, array[i], i)) == null || a != a)) a = undefined; + while (++i < n) if ((b = f.call(array, array[i], i)) != null && b > a) a = b; + } + return a; +}; +d3.extent = function(array, f) { + var i = -1, + n = array.length, + a, + b, + c; + if (arguments.length === 1) { + while (++i < n && ((a = c = array[i]) == null || a != a)) a = c = undefined; + while (++i < n) if ((b = array[i]) != null) { + if (a > b) a = b; + if (c < b) c = b; + } + } else { + while (++i < n && ((a = c = f.call(array, array[i], i)) == null || a != a)) a = undefined; + while (++i < n) if ((b = f.call(array, array[i], i)) != null) { + if (a > b) a = b; + if (c < b) c = b; + } + } + return [a, c]; +}; +d3.random = { + normal: function(mean, deviation) { + if (arguments.length < 2) deviation = 1; + if (arguments.length < 1) mean = 0; + return function() { + var x, y, r; + do { + x = Math.random() * 2 - 1; + y = Math.random() * 2 - 1; + r = x * x + y * y; + } while (!r || r > 1); + return mean + deviation * x * Math.sqrt(-2 * Math.log(r) / r); + }; + } +}; +function d3_number(x) { + return x != null && !isNaN(x); +} +d3.sum = function(array, f) { + var s = 0, + n = array.length, + a, + i = -1; + + if (arguments.length === 1) { + while (++i < n) if (!isNaN(a = +array[i])) s += a; + } else { + while (++i < n) if (!isNaN(a = +f.call(array, array[i], i))) s += a; + } + + return s; +}; +// R-7 per +d3.quantile = function(values, p) { + var H = (values.length - 1) * p + 1, + h = Math.floor(H), + v = values[h - 1], + e = H - h; + return e ? v + e * (values[h] - v) : v; +}; +d3.transpose = function(matrix) { + return d3.zip.apply(d3, matrix); +}; +d3.zip = function() { + if (!(n = arguments.length)) return []; + for (var i = -1, m = d3.min(arguments, d3_zipLength), zips = new Array(m); ++i < m;) { + for (var j = -1, n, zip = zips[i] = new Array(n); ++j < n;) { + zip[j] = arguments[j][i]; + } + } + return zips; +}; + +function d3_zipLength(d) { + return d.length; +} +d3.bisector = function(f) { + return { + left: function(a, x, lo, hi) { + if (arguments.length < 3) lo = 0; + if (arguments.length < 4) hi = a.length; + while (lo < hi) { + var mid = lo + hi >> 1; + if (f.call(a, a[mid], mid) < x) lo = mid + 1; + else hi = mid; + } + return lo; + }, + right: function(a, x, lo, hi) { + if (arguments.length < 3) lo = 0; + if (arguments.length < 4) hi = a.length; + while (lo < hi) { + var mid = lo + hi >> 1; + if (x < f.call(a, a[mid], mid)) hi = mid; + else lo = mid + 1; + } + return lo; + } + }; +}; + +var d3_bisector = d3.bisector(function(d) { return d; }); +d3.bisectLeft = d3_bisector.left; +d3.bisect = d3.bisectRight = d3_bisector.right; +d3.first = function(array, f) { + var i = 0, + n = array.length, + a = array[0], + b; + if (arguments.length === 1) f = d3.ascending; + while (++i < n) { + if (f.call(array, a, b = array[i]) > 0) { + a = b; + } + } + return a; +}; +d3.last = function(array, f) { + var i = 0, + n = array.length, + a = array[0], + b; + if (arguments.length === 1) f = d3.ascending; + while (++i < n) { + if (f.call(array, a, b = array[i]) <= 0) { + a = b; + } + } + return a; +}; +d3.nest = function() { + var nest = {}, + keys = [], + sortKeys = [], + sortValues, + rollup; + + function map(array, depth) { + if (depth >= keys.length) return rollup + ? rollup.call(nest, array) : (sortValues + ? array.sort(sortValues) + : array); + + var i = -1, + n = array.length, + key = keys[depth++], + keyValue, + object, + valuesByKey = new d3_Map, + values, + o = {}; + + while (++i < n) { + if (values = valuesByKey.get(keyValue = key(object = array[i]))) { + values.push(object); + } else { + valuesByKey.set(keyValue, [object]); + } + } + + valuesByKey.forEach(function(keyValue) { + o[keyValue] = map(valuesByKey.get(keyValue), depth); + }); + + return o; + } + + function entries(map, depth) { + if (depth >= keys.length) return map; + + var a = [], + sortKey = sortKeys[depth++], + key; + + for (key in map) { + a.push({key: key, values: entries(map[key], depth)}); + } + + if (sortKey) a.sort(function(a, b) { + return sortKey(a.key, b.key); + }); + + return a; + } + + nest.map = function(array) { + return map(array, 0); + }; + + nest.entries = function(array) { + return entries(map(array, 0), 0); + }; + + nest.key = function(d) { + keys.push(d); + return nest; + }; + + // Specifies the order for the most-recently specified key. + // Note: only applies to entries. Map keys are unordered! + nest.sortKeys = function(order) { + sortKeys[keys.length - 1] = order; + return nest; + }; + + // Specifies the order for leaf values. + // Applies to both maps and entries array. + nest.sortValues = function(order) { + sortValues = order; + return nest; + }; + + nest.rollup = function(f) { + rollup = f; + return nest; + }; + + return nest; +}; +d3.keys = function(map) { + var keys = []; + for (var key in map) keys.push(key); + return keys; +}; +d3.values = function(map) { + var values = []; + for (var key in map) values.push(map[key]); + return values; +}; +d3.entries = function(map) { + var entries = []; + for (var key in map) entries.push({key: key, value: map[key]}); + return entries; +}; +d3.permute = function(array, indexes) { + var permutes = [], + i = -1, + n = indexes.length; + while (++i < n) permutes[i] = array[indexes[i]]; + return permutes; +}; +d3.merge = function(arrays) { + return Array.prototype.concat.apply([], arrays); +}; +d3.split = function(array, f) { + var arrays = [], + values = [], + value, + i = -1, + n = array.length; + if (arguments.length < 2) f = d3_splitter; + while (++i < n) { + if (f.call(values, value = array[i], i)) { + values = []; + } else { + if (!values.length) arrays.push(values); + values.push(value); + } + } + return arrays; +}; + +function d3_splitter(d) { + return d == null; +} +function d3_collapse(s) { + return s.replace(/(^\s+)|(\s+$)/g, "").replace(/\s+/g, " "); +} +d3.range = function(start, stop, step) { + if (arguments.length < 3) { + step = 1; + if (arguments.length < 2) { + stop = start; + start = 0; + } + } + if ((stop - start) / step === Infinity) throw new Error("infinite range"); + var range = [], + k = d3_range_integerScale(Math.abs(step)), + i = -1, + j; + start *= k, stop *= k, step *= k; + if (step < 0) while ((j = start + step * ++i) > stop) range.push(j / k); + else while ((j = start + step * ++i) < stop) range.push(j / k); + return range; +}; + +function d3_range_integerScale(x) { + var k = 1; + while (x * k % 1) k *= 10; + return k; +} +d3.requote = function(s) { + return s.replace(d3_requote_re, "\\$&"); +}; + +var d3_requote_re = /[\\\^\$\*\+\?\|\[\]\(\)\.\{\}]/g; +d3.round = function(x, n) { + return n + ? Math.round(x * (n = Math.pow(10, n))) / n + : Math.round(x); +}; +d3.xhr = function(url, mime, callback) { + var req = new XMLHttpRequest; + if (arguments.length < 3) callback = mime, mime = null; + else if (mime && req.overrideMimeType) req.overrideMimeType(mime); + req.open("GET", url, true); + if (mime) req.setRequestHeader("Accept", mime); + req.onreadystatechange = function() { + if (req.readyState === 4) { + var s = req.status; + callback(s >= 200 && s < 300 || s === 304 ? req : null); + } + }; + req.send(null); +}; +d3.text = function(url, mime, callback) { + function ready(req) { + callback(req && req.responseText); + } + if (arguments.length < 3) { + callback = mime; + mime = null; + } + d3.xhr(url, mime, ready); +}; +d3.json = function(url, callback) { + d3.text(url, "application/json", function(text) { + callback(text ? JSON.parse(text) : null); + }); +}; +d3.html = function(url, callback) { + d3.text(url, "text/html", function(text) { + if (text != null) { // Treat empty string as valid HTML. + var range = document.createRange(); + range.selectNode(document.body); + text = range.createContextualFragment(text); + } + callback(text); + }); +}; +d3.xml = function(url, mime, callback) { + function ready(req) { + callback(req && req.responseXML); + } + if (arguments.length < 3) { + callback = mime; + mime = null; + } + d3.xhr(url, mime, ready); +}; +var d3_nsPrefix = { + svg: "http://www.w3.org/2000/svg", + xhtml: "http://www.w3.org/1999/xhtml", + xlink: "http://www.w3.org/1999/xlink", + xml: "http://www.w3.org/XML/1998/namespace", + xmlns: "http://www.w3.org/2000/xmlns/" +}; + +d3.ns = { + prefix: d3_nsPrefix, + qualify: function(name) { + var i = name.indexOf(":"), + prefix = name; + if (i >= 0) { + prefix = name.substring(0, i); + name = name.substring(i + 1); + } + return d3_nsPrefix.hasOwnProperty(prefix) + ? {space: d3_nsPrefix[prefix], local: name} + : name; + } +}; +d3.dispatch = function() { + var dispatch = new d3_dispatch, + i = -1, + n = arguments.length; + while (++i < n) dispatch[arguments[i]] = d3_dispatch_event(dispatch); + return dispatch; +}; + +function d3_dispatch() {} + +d3_dispatch.prototype.on = function(type, listener) { + var i = type.indexOf("."), + name = ""; + + // Extract optional namespace, e.g., "click.foo" + if (i > 0) { + name = type.substring(i + 1); + type = type.substring(0, i); + } + + return arguments.length < 2 + ? this[type].on(name) + : this[type].on(name, listener); +}; + +function d3_dispatch_event(dispatch) { + var listeners = [], + listenerByName = new d3_Map; + + function event() { + var z = listeners, // defensive reference + i = -1, + n = z.length, + l; + while (++i < n) if (l = z[i].on) l.apply(this, arguments); + return dispatch; + } + + event.on = function(name, listener) { + var l = listenerByName.get(name), + i; + + // return the current listener, if any + if (arguments.length < 2) return l && l.on; + + // remove the old listener, if any (with copy-on-write) + if (l) { + l.on = null; + listeners = listeners.slice(0, i = listeners.indexOf(l)).concat(listeners.slice(i + 1)); + listenerByName.remove(name); + } + + // add the new listener, if any + if (listener) listeners.push(listenerByName.set(name, {on: listener})); + + return dispatch; + }; + + return event; +} +// TODO align +d3.format = function(specifier) { + var match = d3_format_re.exec(specifier), + fill = match[1] || " ", + sign = match[3] || "", + zfill = match[5], + width = +match[6], + comma = match[7], + precision = match[8], + type = match[9], + scale = 1, + suffix = "", + integer = false; + + if (precision) precision = +precision.substring(1); + + if (zfill) { + fill = "0"; // TODO align = "="; + if (comma) width -= Math.floor((width - 1) / 4); + } + + switch (type) { + case "n": comma = true; type = "g"; break; + case "%": scale = 100; suffix = "%"; type = "f"; break; + case "p": scale = 100; suffix = "%"; type = "r"; break; + case "d": integer = true; precision = 0; break; + case "s": scale = -1; type = "r"; break; + } + + // If no precision is specified for r, fallback to general notation. + if (type == "r" && !precision) type = "g"; + + type = d3_format_types.get(type) || d3_format_typeDefault; + + return function(value) { + + // Return the empty string for floats formatted as ints. + if (integer && (value % 1)) return ""; + + // Convert negative to positive, and record the sign prefix. + var negative = (value < 0) && (value = -value) ? "\u2212" : sign; + + // Apply the scale, computing it from the value's exponent for si format. + if (scale < 0) { + var prefix = d3.formatPrefix(value, precision); + value = prefix.scale(value); + suffix = prefix.symbol; + } else { + value *= scale; + } + + // Convert to the desired precision. + value = type(value, precision); + + // If the fill character is 0, the sign and group is applied after the fill. + if (zfill) { + var length = value.length + negative.length; + if (length < width) value = new Array(width - length + 1).join(fill) + value; + if (comma) value = d3_format_group(value); + value = negative + value; + } + + // Otherwise (e.g., space-filling), the sign and group is applied before. + else { + if (comma) value = d3_format_group(value); + value = negative + value; + var length = value.length; + if (length < width) value = new Array(width - length + 1).join(fill) + value; + } + + return value + suffix; + }; +}; + +// [[fill]align][sign][#][0][width][,][.precision][type] +var d3_format_re = /(?:([^{])?([<>=^]))?([+\- ])?(#)?(0)?([0-9]+)?(,)?(\.[0-9]+)?([a-zA-Z%])?/; + +var d3_format_types = d3.map({ + g: function(x, p) { return x.toPrecision(p); }, + e: function(x, p) { return x.toExponential(p); }, + f: function(x, p) { return x.toFixed(p); }, + r: function(x, p) { return d3.round(x, p = d3_format_precision(x, p)).toFixed(Math.max(0, Math.min(20, p))); } +}); + +function d3_format_precision(x, p) { + return p - (x ? 1 + Math.floor(Math.log(x + Math.pow(10, 1 + Math.floor(Math.log(x) / Math.LN10) - p)) / Math.LN10) : 1); +} + +function d3_format_typeDefault(x) { + return x + ""; +} + +// Apply comma grouping for thousands. +function d3_format_group(value) { + var i = value.lastIndexOf("."), + f = i >= 0 ? value.substring(i) : (i = value.length, ""), + t = []; + while (i > 0) t.push(value.substring(i -= 3, i + 3)); + return t.reverse().join(",") + f; +} +var d3_formatPrefixes = ["y","z","a","f","p","n","μ","m","","k","M","G","T","P","E","Z","Y"].map(d3_formatPrefix); + +d3.formatPrefix = function(value, precision) { + var i = 0; + if (value) { + if (value < 0) value *= -1; + if (precision) value = d3.round(value, d3_format_precision(value, precision)); + i = 1 + Math.floor(1e-12 + Math.log(value) / Math.LN10); + i = Math.max(-24, Math.min(24, Math.floor((i <= 0 ? i + 1 : i - 1) / 3) * 3)); + } + return d3_formatPrefixes[8 + i / 3]; +}; + +function d3_formatPrefix(d, i) { + var k = Math.pow(10, Math.abs(8 - i) * 3); + return { + scale: i > 8 ? function(d) { return d / k; } : function(d) { return d * k; }, + symbol: d + }; +} +/* + * TERMS OF USE - EASING EQUATIONS + * + * Open source under the BSD License. + * + * Copyright 2001 Robert Penner + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions are met: + * + * - Redistributions of source code must retain the above copyright notice, this + * list of conditions and the following disclaimer. + * + * - Redistributions in binary form must reproduce the above copyright notice, + * this list of conditions and the following disclaimer in the documentation + * and/or other materials provided with the distribution. + * + * - Neither the name of the author nor the names of contributors may be used to + * endorse or promote products derived from this software without specific + * prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" + * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE + * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR + * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF + * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS + * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN + * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) + * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE + * POSSIBILITY OF SUCH DAMAGE. + */ + +var d3_ease_quad = d3_ease_poly(2), + d3_ease_cubic = d3_ease_poly(3), + d3_ease_default = function() { return d3_ease_identity; }; + +var d3_ease = d3.map({ + linear: d3_ease_default, + poly: d3_ease_poly, + quad: function() { return d3_ease_quad; }, + cubic: function() { return d3_ease_cubic; }, + sin: function() { return d3_ease_sin; }, + exp: function() { return d3_ease_exp; }, + circle: function() { return d3_ease_circle; }, + elastic: d3_ease_elastic, + back: d3_ease_back, + bounce: function() { return d3_ease_bounce; } +}); + +var d3_ease_mode = d3.map({ + "in": d3_ease_identity, + "out": d3_ease_reverse, + "in-out": d3_ease_reflect, + "out-in": function(f) { return d3_ease_reflect(d3_ease_reverse(f)); } +}); + +d3.ease = function(name) { + var i = name.indexOf("-"), + t = i >= 0 ? name.substring(0, i) : name, + m = i >= 0 ? name.substring(i + 1) : "in"; + t = d3_ease.get(t) || d3_ease_default; + m = d3_ease_mode.get(m) || d3_ease_identity; + return d3_ease_clamp(m(t.apply(null, Array.prototype.slice.call(arguments, 1)))); +}; + +function d3_ease_clamp(f) { + return function(t) { + return t <= 0 ? 0 : t >= 1 ? 1 : f(t); + }; +} + +function d3_ease_reverse(f) { + return function(t) { + return 1 - f(1 - t); + }; +} + +function d3_ease_reflect(f) { + return function(t) { + return .5 * (t < .5 ? f(2 * t) : (2 - f(2 - 2 * t))); + }; +} + +function d3_ease_identity(t) { + return t; +} + +function d3_ease_poly(e) { + return function(t) { + return Math.pow(t, e); + }; +} + +function d3_ease_sin(t) { + return 1 - Math.cos(t * Math.PI / 2); +} + +function d3_ease_exp(t) { + return Math.pow(2, 10 * (t - 1)); +} + +function d3_ease_circle(t) { + return 1 - Math.sqrt(1 - t * t); +} + +function d3_ease_elastic(a, p) { + var s; + if (arguments.length < 2) p = 0.45; + if (arguments.length < 1) { a = 1; s = p / 4; } + else s = p / (2 * Math.PI) * Math.asin(1 / a); + return function(t) { + return 1 + a * Math.pow(2, 10 * -t) * Math.sin((t - s) * 2 * Math.PI / p); + }; +} + +function d3_ease_back(s) { + if (!s) s = 1.70158; + return function(t) { + return t * t * ((s + 1) * t - s); + }; +} + +function d3_ease_bounce(t) { + return t < 1 / 2.75 ? 7.5625 * t * t + : t < 2 / 2.75 ? 7.5625 * (t -= 1.5 / 2.75) * t + .75 + : t < 2.5 / 2.75 ? 7.5625 * (t -= 2.25 / 2.75) * t + .9375 + : 7.5625 * (t -= 2.625 / 2.75) * t + .984375; +} +d3.event = null; + +function d3_eventCancel() { + d3.event.stopPropagation(); + d3.event.preventDefault(); +} + +function d3_eventSource() { + var e = d3.event, s; + while (s = e.sourceEvent) e = s; + return e; +} + +// Like d3.dispatch, but for custom events abstracting native UI events. These +// events have a target component (such as a brush), a target element (such as +// the svg:g element containing the brush) and the standard arguments `d` (the +// target element's data) and `i` (the selection index of the target element). +function d3_eventDispatch(target) { + var dispatch = new d3_dispatch, + i = 0, + n = arguments.length; + + while (++i < n) dispatch[arguments[i]] = d3_dispatch_event(dispatch); + + // Creates a dispatch context for the specified `thiz` (typically, the target + // DOM element that received the source event) and `argumentz` (typically, the + // data `d` and index `i` of the target element). The returned function can be + // used to dispatch an event to any registered listeners; the function takes a + // single argument as input, being the event to dispatch. The event must have + // a "type" attribute which corresponds to a type registered in the + // constructor. This context will automatically populate the "sourceEvent" and + // "target" attributes of the event, as well as setting the `d3.event` global + // for the duration of the notification. + dispatch.of = function(thiz, argumentz) { + return function(e1) { + try { + var e0 = + e1.sourceEvent = d3.event; + e1.target = target; + d3.event = e1; + dispatch[e1.type].apply(thiz, argumentz); + } finally { + d3.event = e0; + } + }; + }; + + return dispatch; +} +d3.interpolate = function(a, b) { + var i = d3.interpolators.length, f; + while (--i >= 0 && !(f = d3.interpolators[i](a, b))); + return f; +}; + +d3.interpolateNumber = function(a, b) { + b -= a; + return function(t) { return a + b * t; }; +}; + +d3.interpolateRound = function(a, b) { + b -= a; + return function(t) { return Math.round(a + b * t); }; +}; + +d3.interpolateString = function(a, b) { + var m, // current match + i, // current index + j, // current index (for coallescing) + s0 = 0, // start index of current string prefix + s1 = 0, // end index of current string prefix + s = [], // string constants and placeholders + q = [], // number interpolators + n, // q.length + o; + + // Reset our regular expression! + d3_interpolate_number.lastIndex = 0; + + // Find all numbers in b. + for (i = 0; m = d3_interpolate_number.exec(b); ++i) { + if (m.index) s.push(b.substring(s0, s1 = m.index)); + q.push({i: s.length, x: m[0]}); + s.push(null); + s0 = d3_interpolate_number.lastIndex; + } + if (s0 < b.length) s.push(b.substring(s0)); + + // Find all numbers in a. + for (i = 0, n = q.length; (m = d3_interpolate_number.exec(a)) && i < n; ++i) { + o = q[i]; + if (o.x == m[0]) { // The numbers match, so coallesce. + if (o.i) { + if (s[o.i + 1] == null) { // This match is followed by another number. + s[o.i - 1] += o.x; + s.splice(o.i, 1); + for (j = i + 1; j < n; ++j) q[j].i--; + } else { // This match is followed by a string, so coallesce twice. + s[o.i - 1] += o.x + s[o.i + 1]; + s.splice(o.i, 2); + for (j = i + 1; j < n; ++j) q[j].i -= 2; + } + } else { + if (s[o.i + 1] == null) { // This match is followed by another number. + s[o.i] = o.x; + } else { // This match is followed by a string, so coallesce twice. + s[o.i] = o.x + s[o.i + 1]; + s.splice(o.i + 1, 1); + for (j = i + 1; j < n; ++j) q[j].i--; + } + } + q.splice(i, 1); + n--; + i--; + } else { + o.x = d3.interpolateNumber(parseFloat(m[0]), parseFloat(o.x)); + } + } + + // Remove any numbers in b not found in a. + while (i < n) { + o = q.pop(); + if (s[o.i + 1] == null) { // This match is followed by another number. + s[o.i] = o.x; + } else { // This match is followed by a string, so coallesce twice. + s[o.i] = o.x + s[o.i + 1]; + s.splice(o.i + 1, 1); + } + n--; + } + + // Special optimization for only a single match. + if (s.length === 1) { + return s[0] == null ? q[0].x : function() { return b; }; + } + + // Otherwise, interpolate each of the numbers and rejoin the string. + return function(t) { + for (i = 0; i < n; ++i) s[(o = q[i]).i] = o.x(t); + return s.join(""); + }; +}; + +d3.interpolateTransform = function(a, b) { + var s = [], // string constants and placeholders + q = [], // number interpolators + n, + A = d3.transform(a), + B = d3.transform(b), + ta = A.translate, + tb = B.translate, + ra = A.rotate, + rb = B.rotate, + wa = A.skew, + wb = B.skew, + ka = A.scale, + kb = B.scale; + + if (ta[0] != tb[0] || ta[1] != tb[1]) { + s.push("translate(", null, ",", null, ")"); + q.push({i: 1, x: d3.interpolateNumber(ta[0], tb[0])}, {i: 3, x: d3.interpolateNumber(ta[1], tb[1])}); + } else if (tb[0] || tb[1]) { + s.push("translate(" + tb + ")"); + } else { + s.push(""); + } + + if (ra != rb) { + q.push({i: s.push(s.pop() + "rotate(", null, ")") - 2, x: d3.interpolateNumber(ra, rb)}); + } else if (rb) { + s.push(s.pop() + "rotate(" + rb + ")"); + } + + if (wa != wb) { + q.push({i: s.push(s.pop() + "skewX(", null, ")") - 2, x: d3.interpolateNumber(wa, wb)}); + } else if (wb) { + s.push(s.pop() + "skewX(" + wb + ")"); + } + + if (ka[0] != kb[0] || ka[1] != kb[1]) { + n = s.push(s.pop() + "scale(", null, ",", null, ")"); + q.push({i: n - 4, x: d3.interpolateNumber(ka[0], kb[0])}, {i: n - 2, x: d3.interpolateNumber(ka[1], kb[1])}); + } else if (kb[0] != 1 || kb[1] != 1) { + s.push(s.pop() + "scale(" + kb + ")"); + } + + n = q.length; + return function(t) { + var i = -1, o; + while (++i < n) s[(o = q[i]).i] = o.x(t); + return s.join(""); + }; +}; + +d3.interpolateRgb = function(a, b) { + a = d3.rgb(a); + b = d3.rgb(b); + var ar = a.r, + ag = a.g, + ab = a.b, + br = b.r - ar, + bg = b.g - ag, + bb = b.b - ab; + return function(t) { + return "#" + + d3_rgb_hex(Math.round(ar + br * t)) + + d3_rgb_hex(Math.round(ag + bg * t)) + + d3_rgb_hex(Math.round(ab + bb * t)); + }; +}; + +// interpolates HSL space, but outputs RGB string (for compatibility) +d3.interpolateHsl = function(a, b) { + a = d3.hsl(a); + b = d3.hsl(b); + var h0 = a.h, + s0 = a.s, + l0 = a.l, + h1 = b.h - h0, + s1 = b.s - s0, + l1 = b.l - l0; + return function(t) { + return d3_hsl_rgb(h0 + h1 * t, s0 + s1 * t, l0 + l1 * t).toString(); + }; +}; + +d3.interpolateArray = function(a, b) { + var x = [], + c = [], + na = a.length, + nb = b.length, + n0 = Math.min(a.length, b.length), + i; + for (i = 0; i < n0; ++i) x.push(d3.interpolate(a[i], b[i])); + for (; i < na; ++i) c[i] = a[i]; + for (; i < nb; ++i) c[i] = b[i]; + return function(t) { + for (i = 0; i < n0; ++i) c[i] = x[i](t); + return c; + }; +}; + +d3.interpolateObject = function(a, b) { + var i = {}, + c = {}, + k; + for (k in a) { + if (k in b) { + i[k] = d3_interpolateByName(k)(a[k], b[k]); + } else { + c[k] = a[k]; + } + } + for (k in b) { + if (!(k in a)) { + c[k] = b[k]; + } + } + return function(t) { + for (k in i) c[k] = i[k](t); + return c; + }; +} + +var d3_interpolate_number = /[-+]?(?:\d+\.?\d*|\.?\d+)(?:[eE][-+]?\d+)?/g; + +function d3_interpolateByName(n) { + return n == "transform" + ? d3.interpolateTransform + : d3.interpolate; +} + +d3.interpolators = [ + d3.interpolateObject, + function(a, b) { return (b instanceof Array) && d3.interpolateArray(a, b); }, + function(a, b) { return (typeof a === "string" || typeof b === "string") && d3.interpolateString(a + "", b + ""); }, + function(a, b) { return (typeof b === "string" ? d3_rgb_names.has(b) || /^(#|rgb\(|hsl\()/.test(b) : b instanceof d3_Rgb || b instanceof d3_Hsl) && d3.interpolateRgb(a, b); }, + function(a, b) { return !isNaN(a = +a) && !isNaN(b = +b) && d3.interpolateNumber(a, b); } +]; +function d3_uninterpolateNumber(a, b) { + b = b - (a = +a) ? 1 / (b - a) : 0; + return function(x) { return (x - a) * b; }; +} + +function d3_uninterpolateClamp(a, b) { + b = b - (a = +a) ? 1 / (b - a) : 0; + return function(x) { return Math.max(0, Math.min(1, (x - a) * b)); }; +} +d3.rgb = function(r, g, b) { + return arguments.length === 1 + ? (r instanceof d3_Rgb ? d3_rgb(r.r, r.g, r.b) + : d3_rgb_parse("" + r, d3_rgb, d3_hsl_rgb)) + : d3_rgb(~~r, ~~g, ~~b); +}; + +function d3_rgb(r, g, b) { + return new d3_Rgb(r, g, b); +} + +function d3_Rgb(r, g, b) { + this.r = r; + this.g = g; + this.b = b; +} + +d3_Rgb.prototype.brighter = function(k) { + k = Math.pow(0.7, arguments.length ? k : 1); + var r = this.r, + g = this.g, + b = this.b, + i = 30; + if (!r && !g && !b) return d3_rgb(i, i, i); + if (r && r < i) r = i; + if (g && g < i) g = i; + if (b && b < i) b = i; + return d3_rgb( + Math.min(255, Math.floor(r / k)), + Math.min(255, Math.floor(g / k)), + Math.min(255, Math.floor(b / k))); +}; + +d3_Rgb.prototype.darker = function(k) { + k = Math.pow(0.7, arguments.length ? k : 1); + return d3_rgb( + Math.floor(k * this.r), + Math.floor(k * this.g), + Math.floor(k * this.b)); +}; + +d3_Rgb.prototype.hsl = function() { + return d3_rgb_hsl(this.r, this.g, this.b); +}; + +d3_Rgb.prototype.toString = function() { + return "#" + d3_rgb_hex(this.r) + d3_rgb_hex(this.g) + d3_rgb_hex(this.b); +}; + +function d3_rgb_hex(v) { + return v < 0x10 + ? "0" + Math.max(0, v).toString(16) + : Math.min(255, v).toString(16); +} + +function d3_rgb_parse(format, rgb, hsl) { + var r = 0, // red channel; int in [0, 255] + g = 0, // green channel; int in [0, 255] + b = 0, // blue channel; int in [0, 255] + m1, // CSS color specification match + m2, // CSS color specification type (e.g., rgb) + name; + + /* Handle hsl, rgb. */ + m1 = /([a-z]+)\((.*)\)/i.exec(format); + if (m1) { + m2 = m1[2].split(","); + switch (m1[1]) { + case "hsl": { + return hsl( + parseFloat(m2[0]), // degrees + parseFloat(m2[1]) / 100, // percentage + parseFloat(m2[2]) / 100 // percentage + ); + } + case "rgb": { + return rgb( + d3_rgb_parseNumber(m2[0]), + d3_rgb_parseNumber(m2[1]), + d3_rgb_parseNumber(m2[2]) + ); + } + } + } + + /* Named colors. */ + if (name = d3_rgb_names.get(format)) return rgb(name.r, name.g, name.b); + + /* Hexadecimal colors: #rgb and #rrggbb. */ + if (format != null && format.charAt(0) === "#") { + if (format.length === 4) { + r = format.charAt(1); r += r; + g = format.charAt(2); g += g; + b = format.charAt(3); b += b; + } else if (format.length === 7) { + r = format.substring(1, 3); + g = format.substring(3, 5); + b = format.substring(5, 7); + } + r = parseInt(r, 16); + g = parseInt(g, 16); + b = parseInt(b, 16); + } + + return rgb(r, g, b); +} + +function d3_rgb_hsl(r, g, b) { + var min = Math.min(r /= 255, g /= 255, b /= 255), + max = Math.max(r, g, b), + d = max - min, + h, + s, + l = (max + min) / 2; + if (d) { + s = l < .5 ? d / (max + min) : d / (2 - max - min); + if (r == max) h = (g - b) / d + (g < b ? 6 : 0); + else if (g == max) h = (b - r) / d + 2; + else h = (r - g) / d + 4; + h *= 60; + } else { + s = h = 0; + } + return d3_hsl(h, s, l); +} + +function d3_rgb_parseNumber(c) { // either integer or percentage + var f = parseFloat(c); + return c.charAt(c.length - 1) === "%" ? Math.round(f * 2.55) : f; +} + +var d3_rgb_names = d3.map({ + aliceblue: "#f0f8ff", + antiquewhite: "#faebd7", + aqua: "#00ffff", + aquamarine: "#7fffd4", + azure: "#f0ffff", + beige: "#f5f5dc", + bisque: "#ffe4c4", + black: "#000000", + blanchedalmond: "#ffebcd", + blue: "#0000ff", + blueviolet: "#8a2be2", + brown: "#a52a2a", + burlywood: "#deb887", + cadetblue: "#5f9ea0", + chartreuse: "#7fff00", + chocolate: "#d2691e", + coral: "#ff7f50", + cornflowerblue: "#6495ed", + cornsilk: "#fff8dc", + crimson: "#dc143c", + cyan: "#00ffff", + darkblue: "#00008b", + darkcyan: "#008b8b", + darkgoldenrod: "#b8860b", + darkgray: "#a9a9a9", + darkgreen: "#006400", + darkgrey: "#a9a9a9", + darkkhaki: "#bdb76b", + darkmagenta: "#8b008b", + darkolivegreen: "#556b2f", + darkorange: "#ff8c00", + darkorchid: "#9932cc", + darkred: "#8b0000", + darksalmon: "#e9967a", + darkseagreen: "#8fbc8f", + darkslateblue: "#483d8b", + darkslategray: "#2f4f4f", + darkslategrey: "#2f4f4f", + darkturquoise: "#00ced1", + darkviolet: "#9400d3", + deeppink: "#ff1493", + deepskyblue: "#00bfff", + dimgray: "#696969", + dimgrey: "#696969", + dodgerblue: "#1e90ff", + firebrick: "#b22222", + floralwhite: "#fffaf0", + forestgreen: "#228b22", + fuchsia: "#ff00ff", + gainsboro: "#dcdcdc", + ghostwhite: "#f8f8ff", + gold: "#ffd700", + goldenrod: "#daa520", + gray: "#808080", + green: "#008000", + greenyellow: "#adff2f", + grey: "#808080", + honeydew: "#f0fff0", + hotpink: "#ff69b4", + indianred: "#cd5c5c", + indigo: "#4b0082", + ivory: "#fffff0", + khaki: "#f0e68c", + lavender: "#e6e6fa", + lavenderblush: "#fff0f5", + lawngreen: "#7cfc00", + lemonchiffon: "#fffacd", + lightblue: "#add8e6", + lightcoral: "#f08080", + lightcyan: "#e0ffff", + lightgoldenrodyellow: "#fafad2", + lightgray: "#d3d3d3", + lightgreen: "#90ee90", + lightgrey: "#d3d3d3", + lightpink: "#ffb6c1", + lightsalmon: "#ffa07a", + lightseagreen: "#20b2aa", + lightskyblue: "#87cefa", + lightslategray: "#778899", + lightslategrey: "#778899", + lightsteelblue: "#b0c4de", + lightyellow: "#ffffe0", + lime: "#00ff00", + limegreen: "#32cd32", + linen: "#faf0e6", + magenta: "#ff00ff", + maroon: "#800000", + mediumaquamarine: "#66cdaa", + mediumblue: "#0000cd", + mediumorchid: "#ba55d3", + mediumpurple: "#9370db", + mediumseagreen: "#3cb371", + mediumslateblue: "#7b68ee", + mediumspringgreen: "#00fa9a", + mediumturquoise: "#48d1cc", + mediumvioletred: "#c71585", + midnightblue: "#191970", + mintcream: "#f5fffa", + mistyrose: "#ffe4e1", + moccasin: "#ffe4b5", + navajowhite: "#ffdead", + navy: "#000080", + oldlace: "#fdf5e6", + olive: "#808000", + olivedrab: "#6b8e23", + orange: "#ffa500", + orangered: "#ff4500", + orchid: "#da70d6", + palegoldenrod: "#eee8aa", + palegreen: "#98fb98", + paleturquoise: "#afeeee", + palevioletred: "#db7093", + papayawhip: "#ffefd5", + peachpuff: "#ffdab9", + peru: "#cd853f", + pink: "#ffc0cb", + plum: "#dda0dd", + powderblue: "#b0e0e6", + purple: "#800080", + red: "#ff0000", + rosybrown: "#bc8f8f", + royalblue: "#4169e1", + saddlebrown: "#8b4513", + salmon: "#fa8072", + sandybrown: "#f4a460", + seagreen: "#2e8b57", + seashell: "#fff5ee", + sienna: "#a0522d", + silver: "#c0c0c0", + skyblue: "#87ceeb", + slateblue: "#6a5acd", + slategray: "#708090", + slategrey: "#708090", + snow: "#fffafa", + springgreen: "#00ff7f", + steelblue: "#4682b4", + tan: "#d2b48c", + teal: "#008080", + thistle: "#d8bfd8", + tomato: "#ff6347", + turquoise: "#40e0d0", + violet: "#ee82ee", + wheat: "#f5deb3", + white: "#ffffff", + whitesmoke: "#f5f5f5", + yellow: "#ffff00", + yellowgreen: "#9acd32" +}); + +d3_rgb_names.forEach(function(key, value) { + d3_rgb_names.set(key, d3_rgb_parse(value, d3_rgb, d3_hsl_rgb)); +}); +d3.hsl = function(h, s, l) { + return arguments.length === 1 + ? (h instanceof d3_Hsl ? d3_hsl(h.h, h.s, h.l) + : d3_rgb_parse("" + h, d3_rgb_hsl, d3_hsl)) + : d3_hsl(+h, +s, +l); +}; + +function d3_hsl(h, s, l) { + return new d3_Hsl(h, s, l); +} + +function d3_Hsl(h, s, l) { + this.h = h; + this.s = s; + this.l = l; +} + +d3_Hsl.prototype.brighter = function(k) { + k = Math.pow(0.7, arguments.length ? k : 1); + return d3_hsl(this.h, this.s, this.l / k); +}; + +d3_Hsl.prototype.darker = function(k) { + k = Math.pow(0.7, arguments.length ? k : 1); + return d3_hsl(this.h, this.s, k * this.l); +}; + +d3_Hsl.prototype.rgb = function() { + return d3_hsl_rgb(this.h, this.s, this.l); +}; + +d3_Hsl.prototype.toString = function() { + return this.rgb().toString(); +}; + +function d3_hsl_rgb(h, s, l) { + var m1, + m2; + + /* Some simple corrections for h, s and l. */ + h = h % 360; if (h < 0) h += 360; + s = s < 0 ? 0 : s > 1 ? 1 : s; + l = l < 0 ? 0 : l > 1 ? 1 : l; + + /* From FvD 13.37, CSS Color Module Level 3 */ + m2 = l <= .5 ? l * (1 + s) : l + s - l * s; + m1 = 2 * l - m2; + + function v(h) { + if (h > 360) h -= 360; + else if (h < 0) h += 360; + if (h < 60) return m1 + (m2 - m1) * h / 60; + if (h < 180) return m2; + if (h < 240) return m1 + (m2 - m1) * (240 - h) / 60; + return m1; + } + + function vv(h) { + return Math.round(v(h) * 255); + } + + return d3_rgb(vv(h + 120), vv(h), vv(h - 120)); +} +function d3_selection(groups) { + d3_arraySubclass(groups, d3_selectionPrototype); + return groups; +} + +var d3_select = function(s, n) { return n.querySelector(s); }, + d3_selectAll = function(s, n) { return n.querySelectorAll(s); }, + d3_selectRoot = document.documentElement, + d3_selectMatcher = d3_selectRoot.matchesSelector || d3_selectRoot.webkitMatchesSelector || d3_selectRoot.mozMatchesSelector || d3_selectRoot.msMatchesSelector || d3_selectRoot.oMatchesSelector, + d3_selectMatches = function(n, s) { return d3_selectMatcher.call(n, s); }; + +// Prefer Sizzle, if available. +if (typeof Sizzle === "function") { + d3_select = function(s, n) { return Sizzle(s, n)[0]; }; + d3_selectAll = function(s, n) { return Sizzle.uniqueSort(Sizzle(s, n)); }; + d3_selectMatches = Sizzle.matchesSelector; +} + +var d3_selectionPrototype = []; + +d3.selection = function() { + return d3_selectionRoot; +}; + +d3.selection.prototype = d3_selectionPrototype; +d3_selectionPrototype.select = function(selector) { + var subgroups = [], + subgroup, + subnode, + group, + node; + + if (typeof selector !== "function") selector = d3_selection_selector(selector); + + for (var j = -1, m = this.length; ++j < m;) { + subgroups.push(subgroup = []); + subgroup.parentNode = (group = this[j]).parentNode; + for (var i = -1, n = group.length; ++i < n;) { + if (node = group[i]) { + subgroup.push(subnode = selector.call(node, node.__data__, i)); + if (subnode && "__data__" in node) subnode.__data__ = node.__data__; + } else { + subgroup.push(null); + } + } + } + + return d3_selection(subgroups); +}; + +function d3_selection_selector(selector) { + return function() { + return d3_select(selector, this); + }; +} +d3_selectionPrototype.selectAll = function(selector) { + var subgroups = [], + subgroup, + node; + + if (typeof selector !== "function") selector = d3_selection_selectorAll(selector); + + for (var j = -1, m = this.length; ++j < m;) { + for (var group = this[j], i = -1, n = group.length; ++i < n;) { + if (node = group[i]) { + subgroups.push(subgroup = d3_array(selector.call(node, node.__data__, i))); + subgroup.parentNode = node; + } + } + } + + return d3_selection(subgroups); +}; + +function d3_selection_selectorAll(selector) { + return function() { + return d3_selectAll(selector, this); + }; +} +d3_selectionPrototype.attr = function(name, value) { + name = d3.ns.qualify(name); + + // If no value is specified, return the first value. + if (arguments.length < 2) { + var node = this.node(); + return name.local + ? node.getAttributeNS(name.space, name.local) + : node.getAttribute(name); + } + + function attrNull() { + this.removeAttribute(name); + } + + function attrNullNS() { + this.removeAttributeNS(name.space, name.local); + } + + function attrConstant() { + this.setAttribute(name, value); + } + + function attrConstantNS() { + this.setAttributeNS(name.space, name.local, value); + } + + function attrFunction() { + var x = value.apply(this, arguments); + if (x == null) this.removeAttribute(name); + else this.setAttribute(name, x); + } + + function attrFunctionNS() { + var x = value.apply(this, arguments); + if (x == null) this.removeAttributeNS(name.space, name.local); + else this.setAttributeNS(name.space, name.local, x); + } + + return this.each(value == null + ? (name.local ? attrNullNS : attrNull) : (typeof value === "function" + ? (name.local ? attrFunctionNS : attrFunction) + : (name.local ? attrConstantNS : attrConstant))); +}; +d3_selectionPrototype.classed = function(name, value) { + var names = name.split(d3_selection_classedWhitespace), + n = names.length, + i = -1; + if (arguments.length > 1) { + while (++i < n) d3_selection_classed.call(this, names[i], value); + return this; + } else { + while (++i < n) if (!d3_selection_classed.call(this, names[i])) return false; + return true; + } +}; + +var d3_selection_classedWhitespace = /\s+/g; + +function d3_selection_classed(name, value) { + var re = new RegExp("(^|\\s+)" + d3.requote(name) + "(\\s+|$)", "g"); + + // If no value is specified, return the first value. + if (arguments.length < 2) { + var node = this.node(); + if (c = node.classList) return c.contains(name); + var c = node.className; + re.lastIndex = 0; + return re.test(c.baseVal != null ? c.baseVal : c); + } + + function classedAdd() { + if (c = this.classList) return c.add(name); + var c = this.className, + cb = c.baseVal != null, + cv = cb ? c.baseVal : c; + re.lastIndex = 0; + if (!re.test(cv)) { + cv = d3_collapse(cv + " " + name); + if (cb) c.baseVal = cv; + else this.className = cv; + } + } + + function classedRemove() { + if (c = this.classList) return c.remove(name); + var c = this.className, + cb = c.baseVal != null, + cv = cb ? c.baseVal : c; + cv = d3_collapse(cv.replace(re, " ")); + if (cb) c.baseVal = cv; + else this.className = cv; + } + + function classedFunction() { + (value.apply(this, arguments) + ? classedAdd + : classedRemove).call(this); + } + + return this.each(typeof value === "function" + ? classedFunction : value + ? classedAdd + : classedRemove); +} +d3_selectionPrototype.style = function(name, value, priority) { + if (arguments.length < 3) priority = ""; + + // If no value is specified, return the first value. + if (arguments.length < 2) return window + .getComputedStyle(this.node(), null) + .getPropertyValue(name); + + function styleNull() { + this.style.removeProperty(name); + } + + function styleConstant() { + this.style.setProperty(name, value, priority); + } + + function styleFunction() { + var x = value.apply(this, arguments); + if (x == null) this.style.removeProperty(name); + else this.style.setProperty(name, x, priority); + } + + return this.each(value == null + ? styleNull : (typeof value === "function" + ? styleFunction : styleConstant)); +}; +d3_selectionPrototype.property = function(name, value) { + + // If no value is specified, return the first value. + if (arguments.length < 2) return this.node()[name]; + + function propertyNull() { + delete this[name]; + } + + function propertyConstant() { + this[name] = value; + } + + function propertyFunction() { + var x = value.apply(this, arguments); + if (x == null) delete this[name]; + else this[name] = x; + } + + return this.each(value == null + ? propertyNull : (typeof value === "function" + ? propertyFunction : propertyConstant)); +}; +d3_selectionPrototype.text = function(value) { + return arguments.length < 1 + ? this.node().textContent : this.each(typeof value === "function" + ? function() { var v = value.apply(this, arguments); this.textContent = v == null ? "" : v; } : value == null + ? function() { this.textContent = ""; } + : function() { this.textContent = value; }); +}; +d3_selectionPrototype.html = function(value) { + return arguments.length < 1 + ? this.node().innerHTML : this.each(typeof value === "function" + ? function() { var v = value.apply(this, arguments); this.innerHTML = v == null ? "" : v; } : value == null + ? function() { this.innerHTML = ""; } + : function() { this.innerHTML = value; }); +}; +// TODO append(node)? +// TODO append(function)? +d3_selectionPrototype.append = function(name) { + name = d3.ns.qualify(name); + + function append() { + return this.appendChild(document.createElementNS(this.namespaceURI, name)); + } + + function appendNS() { + return this.appendChild(document.createElementNS(name.space, name.local)); + } + + return this.select(name.local ? appendNS : append); +}; +// TODO insert(node, function)? +// TODO insert(function, string)? +// TODO insert(function, function)? +d3_selectionPrototype.insert = function(name, before) { + name = d3.ns.qualify(name); + + function insert() { + return this.insertBefore( + document.createElementNS(this.namespaceURI, name), + d3_select(before, this)); + } + + function insertNS() { + return this.insertBefore( + document.createElementNS(name.space, name.local), + d3_select(before, this)); + } + + return this.select(name.local ? insertNS : insert); +}; +// TODO remove(selector)? +// TODO remove(node)? +// TODO remove(function)? +d3_selectionPrototype.remove = function() { + return this.each(function() { + var parent = this.parentNode; + if (parent) parent.removeChild(this); + }); +}; +d3_selectionPrototype.data = function(value, key) { + var i = -1, + n = this.length, + group, + node; + + // If no value is specified, return the first value. + if (!arguments.length) { + value = new Array(n = (group = this[0]).length); + while (++i < n) { + if (node = group[i]) { + value[i] = node.__data__; + } + } + return value; + } + + function bind(group, groupData) { + var i, + n = group.length, + m = groupData.length, + n0 = Math.min(n, m), + n1 = Math.max(n, m), + updateNodes = [], + enterNodes = [], + exitNodes = [], + node, + nodeData; + + if (key) { + var nodeByKeyValue = new d3_Map, + keyValues = [], + keyValue, + j = groupData.length; + + for (i = -1; ++i < n;) { + keyValue = key.call(node = group[i], node.__data__, i); + if (nodeByKeyValue.has(keyValue)) { + exitNodes[j++] = node; // duplicate key + } else { + nodeByKeyValue.set(keyValue, node); + } + keyValues.push(keyValue); + } + + for (i = -1; ++i < m;) { + keyValue = key.call(groupData, nodeData = groupData[i], i) + if (nodeByKeyValue.has(keyValue)) { + updateNodes[i] = node = nodeByKeyValue.get(keyValue); + node.__data__ = nodeData; + enterNodes[i] = exitNodes[i] = null; + } else { + enterNodes[i] = d3_selection_dataNode(nodeData); + updateNodes[i] = exitNodes[i] = null; + } + nodeByKeyValue.remove(keyValue); + } + + for (i = -1; ++i < n;) { + if (nodeByKeyValue.has(keyValues[i])) { + exitNodes[i] = group[i]; + } + } + } else { + for (i = -1; ++i < n0;) { + node = group[i]; + nodeData = groupData[i]; + if (node) { + node.__data__ = nodeData; + updateNodes[i] = node; + enterNodes[i] = exitNodes[i] = null; + } else { + enterNodes[i] = d3_selection_dataNode(nodeData); + updateNodes[i] = exitNodes[i] = null; + } + } + for (; i < m; ++i) { + enterNodes[i] = d3_selection_dataNode(groupData[i]); + updateNodes[i] = exitNodes[i] = null; + } + for (; i < n1; ++i) { + exitNodes[i] = group[i]; + enterNodes[i] = updateNodes[i] = null; + } + } + + enterNodes.update + = updateNodes; + + enterNodes.parentNode + = updateNodes.parentNode + = exitNodes.parentNode + = group.parentNode; + + enter.push(enterNodes); + update.push(updateNodes); + exit.push(exitNodes); + } + + var enter = d3_selection_enter([]), + update = d3_selection([]), + exit = d3_selection([]); + + if (typeof value === "function") { + while (++i < n) { + bind(group = this[i], value.call(group, group.parentNode.__data__, i)); + } + } else { + while (++i < n) { + bind(group = this[i], value); + } + } + + update.enter = function() { return enter; }; + update.exit = function() { return exit; }; + return update; +}; + +function d3_selection_dataNode(data) { + return {__data__: data}; +} +d3_selectionPrototype.datum = +d3_selectionPrototype.map = function(value) { + return arguments.length < 1 + ? this.property("__data__") + : this.property("__data__", value); +}; +d3_selectionPrototype.filter = function(filter) { + var subgroups = [], + subgroup, + group, + node; + + if (typeof filter !== "function") filter = d3_selection_filter(filter); + + for (var j = 0, m = this.length; j < m; j++) { + subgroups.push(subgroup = []); + subgroup.parentNode = (group = this[j]).parentNode; + for (var i = 0, n = group.length; i < n; i++) { + if ((node = group[i]) && filter.call(node, node.__data__, i)) { + subgroup.push(node); + } + } + } + + return d3_selection(subgroups); +}; + +function d3_selection_filter(selector) { + return function() { + return d3_selectMatches(this, selector); + }; +} +d3_selectionPrototype.order = function() { + for (var j = -1, m = this.length; ++j < m;) { + for (var group = this[j], i = group.length - 1, next = group[i], node; --i >= 0;) { + if (node = group[i]) { + if (next && next !== node.nextSibling) next.parentNode.insertBefore(node, next); + next = node; + } + } + } + return this; +}; +d3_selectionPrototype.sort = function(comparator) { + comparator = d3_selection_sortComparator.apply(this, arguments); + for (var j = -1, m = this.length; ++j < m;) this[j].sort(comparator); + return this.order(); +}; + +function d3_selection_sortComparator(comparator) { + if (!arguments.length) comparator = d3.ascending; + return function(a, b) { + return comparator(a && a.__data__, b && b.__data__); + }; +} +// type can be namespaced, e.g., "click.foo" +// listener can be null for removal +d3_selectionPrototype.on = function(type, listener, capture) { + if (arguments.length < 3) capture = false; + + // parse the type specifier + var name = "__on" + type, i = type.indexOf("."); + if (i > 0) type = type.substring(0, i); + + // if called with only one argument, return the current listener + if (arguments.length < 2) return (i = this.node()[name]) && i._; + + // remove the old event listener, and add the new event listener + return this.each(function(d, i) { + var node = this, + o = node[name]; + + // remove the old listener, if any (using the previously-set capture) + if (o) { + node.removeEventListener(type, o, o.$); + delete node[name]; + } + + // add the new listener, if any (remembering the capture flag) + if (listener) { + node.addEventListener(type, node[name] = l, l.$ = capture); + l._ = listener; // stash the unwrapped listener for get + } + + // wrapped event listener that preserves i + function l(e) { + var o = d3.event; // Events can be reentrant (e.g., focus). + d3.event = e; + try { + listener.call(node, node.__data__, i); + } finally { + d3.event = o; + } + } + }); +}; +d3_selectionPrototype.each = function(callback) { + for (var j = -1, m = this.length; ++j < m;) { + for (var group = this[j], i = -1, n = group.length; ++i < n;) { + var node = group[i]; + if (node) callback.call(node, node.__data__, i, j); + } + } + return this; +}; +// +// Note: assigning to the arguments array simultaneously changes the value of +// the corresponding argument! +// +// TODO The `this` argument probably shouldn't be the first argument to the +// callback, anyway, since it's redundant. However, that will require a major +// version bump due to backwards compatibility, so I'm not changing it right +// away. +// +d3_selectionPrototype.call = function(callback) { + callback.apply(this, (arguments[0] = this, arguments)); + return this; +}; +d3_selectionPrototype.empty = function() { + return !this.node(); +}; +d3_selectionPrototype.node = function(callback) { + for (var j = 0, m = this.length; j < m; j++) { + for (var group = this[j], i = 0, n = group.length; i < n; i++) { + var node = group[i]; + if (node) return node; + } + } + return null; +}; +d3_selectionPrototype.transition = function() { + var subgroups = [], + subgroup, + node; + + for (var j = -1, m = this.length; ++j < m;) { + subgroups.push(subgroup = []); + for (var group = this[j], i = -1, n = group.length; ++i < n;) { + subgroup.push((node = group[i]) ? {node: node, delay: d3_transitionDelay, duration: d3_transitionDuration} : null); + } + } + + return d3_transition(subgroups, d3_transitionId || ++d3_transitionNextId, Date.now()); +}; +var d3_selectionRoot = d3_selection([[document]]); + +d3_selectionRoot[0].parentNode = d3_selectRoot; + +// TODO fast singleton implementation! +// TODO select(function) +d3.select = function(selector) { + return typeof selector === "string" + ? d3_selectionRoot.select(selector) + : d3_selection([[selector]]); // assume node +}; + +// TODO selectAll(function) +d3.selectAll = function(selector) { + return typeof selector === "string" + ? d3_selectionRoot.selectAll(selector) + : d3_selection([d3_array(selector)]); // assume node[] +}; +function d3_selection_enter(selection) { + d3_arraySubclass(selection, d3_selection_enterPrototype); + return selection; +} + +var d3_selection_enterPrototype = []; + +d3.selection.enter = d3_selection_enter; +d3.selection.enter.prototype = d3_selection_enterPrototype; + +d3_selection_enterPrototype.append = d3_selectionPrototype.append; +d3_selection_enterPrototype.insert = d3_selectionPrototype.insert; +d3_selection_enterPrototype.empty = d3_selectionPrototype.empty; +d3_selection_enterPrototype.node = d3_selectionPrototype.node; +d3_selection_enterPrototype.select = function(selector) { + var subgroups = [], + subgroup, + subnode, + upgroup, + group, + node; + + for (var j = -1, m = this.length; ++j < m;) { + upgroup = (group = this[j]).update; + subgroups.push(subgroup = []); + subgroup.parentNode = group.parentNode; + for (var i = -1, n = group.length; ++i < n;) { + if (node = group[i]) { + subgroup.push(upgroup[i] = subnode = selector.call(group.parentNode, node.__data__, i)); + subnode.__data__ = node.__data__; + } else { + subgroup.push(null); + } + } + } + + return d3_selection(subgroups); +}; +function d3_transition(groups, id, time) { + d3_arraySubclass(groups, d3_transitionPrototype); + + var tweens = new d3_Map, + event = d3.dispatch("start", "end"), + ease = d3_transitionEase; + + groups.id = id; + + groups.time = time; + + groups.tween = function(name, tween) { + if (arguments.length < 2) return tweens.get(name); + if (tween == null) tweens.remove(name); + else tweens.set(name, tween); + return groups; + }; + + groups.ease = function(value) { + if (!arguments.length) return ease; + ease = typeof value === "function" ? value : d3.ease.apply(d3, arguments); + return groups; + }; + + groups.each = function(type, listener) { + if (arguments.length < 2) return d3_transition_each.call(groups, type); + event.on(type, listener); + return groups; + }; + + d3.timer(function(elapsed) { + groups.each(function(d, i, j) { + var tweened = [], + node = this, + delay = groups[j][i].delay, + duration = groups[j][i].duration, + lock = node.__transition__ || (node.__transition__ = {active: 0, count: 0}); + + ++lock.count; + + delay <= elapsed ? start(elapsed) : d3.timer(start, delay, time); + + function start(elapsed) { + if (lock.active > id) return stop(); + lock.active = id; + + tweens.forEach(function(key, value) { + if (value = value.call(node, d, i)) { + tweened.push(value); + } + }); + + event.start.call(node, d, i); + if (!tick(elapsed)) d3.timer(tick, 0, time); + return 1; + } + + function tick(elapsed) { + if (lock.active !== id) return stop(); + + var t = (elapsed - delay) / duration, + e = ease(t), + n = tweened.length; + + while (n > 0) { + tweened[--n].call(node, e); + } + + if (t >= 1) { + stop(); + d3_transitionId = id; + event.end.call(node, d, i); + d3_transitionId = 0; + return 1; + } + } + + function stop() { + if (!--lock.count) delete node.__transition__; + return 1; + } + }); + return 1; + }, 0, time); + + return groups; +} + +var d3_transitionRemove = {}; + +function d3_transitionNull(d, i, a) { + return a != "" && d3_transitionRemove; +} + +function d3_transitionTween(name, b) { + var interpolate = d3_interpolateByName(name); + + function transitionFunction(d, i, a) { + var v = b.call(this, d, i); + return v == null + ? a != "" && d3_transitionRemove + : a != v && interpolate(a, v); + } + + function transitionString(d, i, a) { + return a != b && interpolate(a, b); + } + + return typeof b === "function" ? transitionFunction + : b == null ? d3_transitionNull + : (b += "", transitionString); +} + +var d3_transitionPrototype = [], + d3_transitionNextId = 0, + d3_transitionId = 0, + d3_transitionDefaultDelay = 0, + d3_transitionDefaultDuration = 250, + d3_transitionDefaultEase = d3.ease("cubic-in-out"), + d3_transitionDelay = d3_transitionDefaultDelay, + d3_transitionDuration = d3_transitionDefaultDuration, + d3_transitionEase = d3_transitionDefaultEase; + +d3_transitionPrototype.call = d3_selectionPrototype.call; + +d3.transition = function(selection) { + return arguments.length + ? (d3_transitionId ? selection.transition() : selection) + : d3_selectionRoot.transition(); +}; + +d3.transition.prototype = d3_transitionPrototype; +d3_transitionPrototype.select = function(selector) { + var subgroups = [], + subgroup, + subnode, + node; + + if (typeof selector !== "function") selector = d3_selection_selector(selector); + + for (var j = -1, m = this.length; ++j < m;) { + subgroups.push(subgroup = []); + for (var group = this[j], i = -1, n = group.length; ++i < n;) { + if ((node = group[i]) && (subnode = selector.call(node.node, node.node.__data__, i))) { + if ("__data__" in node.node) subnode.__data__ = node.node.__data__; + subgroup.push({node: subnode, delay: node.delay, duration: node.duration}); + } else { + subgroup.push(null); + } + } + } + + return d3_transition(subgroups, this.id, this.time).ease(this.ease()); +}; +d3_transitionPrototype.selectAll = function(selector) { + var subgroups = [], + subgroup, + subnodes, + node; + + if (typeof selector !== "function") selector = d3_selection_selectorAll(selector); + + for (var j = -1, m = this.length; ++j < m;) { + for (var group = this[j], i = -1, n = group.length; ++i < n;) { + if (node = group[i]) { + subnodes = selector.call(node.node, node.node.__data__, i); + subgroups.push(subgroup = []); + for (var k = -1, o = subnodes.length; ++k < o;) { + subgroup.push({node: subnodes[k], delay: node.delay, duration: node.duration}); + } + } + } + } + + return d3_transition(subgroups, this.id, this.time).ease(this.ease()); +}; +d3_transitionPrototype.attr = function(name, value) { + return this.attrTween(name, d3_transitionTween(name, value)); +}; + +d3_transitionPrototype.attrTween = function(nameNS, tween) { + var name = d3.ns.qualify(nameNS); + + function attrTween(d, i) { + var f = tween.call(this, d, i, this.getAttribute(name)); + return f === d3_transitionRemove + ? (this.removeAttribute(name), null) + : f && function(t) { this.setAttribute(name, f(t)); }; + } + + function attrTweenNS(d, i) { + var f = tween.call(this, d, i, this.getAttributeNS(name.space, name.local)); + return f === d3_transitionRemove + ? (this.removeAttributeNS(name.space, name.local), null) + : f && function(t) { this.setAttributeNS(name.space, name.local, f(t)); }; + } + + return this.tween("attr." + nameNS, name.local ? attrTweenNS : attrTween); +}; +d3_transitionPrototype.style = function(name, value, priority) { + if (arguments.length < 3) priority = ""; + return this.styleTween(name, d3_transitionTween(name, value), priority); +}; + +d3_transitionPrototype.styleTween = function(name, tween, priority) { + if (arguments.length < 3) priority = ""; + return this.tween("style." + name, function(d, i) { + var f = tween.call(this, d, i, window.getComputedStyle(this, null).getPropertyValue(name)); + return f === d3_transitionRemove + ? (this.style.removeProperty(name), null) + : f && function(t) { this.style.setProperty(name, f(t), priority); }; + }); +}; +d3_transitionPrototype.text = function(value) { + return this.tween("text", function(d, i) { + this.textContent = typeof value === "function" + ? value.call(this, d, i) + : value; + }); +}; +d3_transitionPrototype.remove = function() { + return this.each("end.transition", function() { + var p; + if (!this.__transition__ && (p = this.parentNode)) p.removeChild(this); + }); +}; +d3_transitionPrototype.delay = function(value) { + var groups = this; + return groups.each(typeof value === "function" + ? function(d, i, j) { groups[j][i].delay = value.apply(this, arguments) | 0; } + : (value = value | 0, function(d, i, j) { groups[j][i].delay = value; })); +}; +d3_transitionPrototype.duration = function(value) { + var groups = this; + return groups.each(typeof value === "function" + ? function(d, i, j) { groups[j][i].duration = Math.max(1, value.apply(this, arguments) | 0); } + : (value = Math.max(1, value | 0), function(d, i, j) { groups[j][i].duration = value; })); +}; +function d3_transition_each(callback) { + var id = d3_transitionId, + ease = d3_transitionEase, + delay = d3_transitionDelay, + duration = d3_transitionDuration; + + d3_transitionId = this.id; + d3_transitionEase = this.ease(); + for (var j = 0, m = this.length; j < m; j++) { + for (var group = this[j], i = 0, n = group.length; i < n; i++) { + var node = group[i]; + if (node) { + d3_transitionDelay = this[j][i].delay; + d3_transitionDuration = this[j][i].duration; + callback.call(node = node.node, node.__data__, i, j); + } + } + } + + d3_transitionId = id; + d3_transitionEase = ease; + d3_transitionDelay = delay; + d3_transitionDuration = duration; + return this; +} +d3_transitionPrototype.transition = function() { + return this.select(d3_this); +}; +var d3_timer_queue = null, + d3_timer_interval, // is an interval (or frame) active? + d3_timer_timeout; // is a timeout active? + +// The timer will continue to fire until callback returns true. +d3.timer = function(callback, delay, then) { + var found = false, + t0, + t1 = d3_timer_queue; + + if (arguments.length < 3) { + if (arguments.length < 2) delay = 0; + else if (!isFinite(delay)) return; + then = Date.now(); + } + + // See if the callback's already in the queue. + while (t1) { + if (t1.callback === callback) { + t1.then = then; + t1.delay = delay; + found = true; + break; + } + t0 = t1; + t1 = t1.next; + } + + // Otherwise, add the callback to the queue. + if (!found) d3_timer_queue = { + callback: callback, + then: then, + delay: delay, + next: d3_timer_queue + }; + + // Start animatin'! + if (!d3_timer_interval) { + d3_timer_timeout = clearTimeout(d3_timer_timeout); + d3_timer_interval = 1; + d3_timer_frame(d3_timer_step); + } +} + +function d3_timer_step() { + var elapsed, + now = Date.now(), + t1 = d3_timer_queue; + + while (t1) { + elapsed = now - t1.then; + if (elapsed >= t1.delay) t1.flush = t1.callback(elapsed); + t1 = t1.next; + } + + var delay = d3_timer_flush() - now; + if (delay > 24) { + if (isFinite(delay)) { + clearTimeout(d3_timer_timeout); + d3_timer_timeout = setTimeout(d3_timer_step, delay); + } + d3_timer_interval = 0; + } else { + d3_timer_interval = 1; + d3_timer_frame(d3_timer_step); + } +} + +d3.timer.flush = function() { + var elapsed, + now = Date.now(), + t1 = d3_timer_queue; + + while (t1) { + elapsed = now - t1.then; + if (!t1.delay) t1.flush = t1.callback(elapsed); + t1 = t1.next; + } + + d3_timer_flush(); +}; + +// Flush after callbacks, to avoid concurrent queue modification. +function d3_timer_flush() { + var t0 = null, + t1 = d3_timer_queue, + then = Infinity; + while (t1) { + if (t1.flush) { + t1 = t0 ? t0.next = t1.next : d3_timer_queue = t1.next; + } else { + then = Math.min(then, t1.then + t1.delay); + t1 = (t0 = t1).next; + } + } + return then; +} + +var d3_timer_frame = window.requestAnimationFrame + || window.webkitRequestAnimationFrame + || window.mozRequestAnimationFrame + || window.oRequestAnimationFrame + || window.msRequestAnimationFrame + || function(callback) { setTimeout(callback, 17); }; +d3.transform = function(string) { + var g = document.createElementNS(d3.ns.prefix.svg, "g"), + identity = {a: 1, b: 0, c: 0, d: 1, e: 0, f: 0}; + return (d3.transform = function(string) { + g.setAttribute("transform", string); + var t = g.transform.baseVal.consolidate(); + return new d3_transform(t ? t.matrix : identity); + })(string); +}; + +// Compute x-scale and normalize the first row. +// Compute shear and make second row orthogonal to first. +// Compute y-scale and normalize the second row. +// Finally, compute the rotation. +function d3_transform(m) { + var r0 = [m.a, m.b], + r1 = [m.c, m.d], + kx = d3_transformNormalize(r0), + kz = d3_transformDot(r0, r1), + ky = d3_transformNormalize(d3_transformCombine(r1, r0, -kz)) || 0; + if (r0[0] * r1[1] < r1[0] * r0[1]) { + r0[0] *= -1; + r0[1] *= -1; + kx *= -1; + kz *= -1; + } + this.rotate = (kx ? Math.atan2(r0[1], r0[0]) : Math.atan2(-r1[0], r1[1])) * d3_transformDegrees; + this.translate = [m.e, m.f]; + this.scale = [kx, ky]; + this.skew = ky ? Math.atan2(kz, ky) * d3_transformDegrees : 0; +}; + +d3_transform.prototype.toString = function() { + return "translate(" + this.translate + + ")rotate(" + this.rotate + + ")skewX(" + this.skew + + ")scale(" + this.scale + + ")"; +}; + +function d3_transformDot(a, b) { + return a[0] * b[0] + a[1] * b[1]; +} + +function d3_transformNormalize(a) { + var k = Math.sqrt(d3_transformDot(a, a)); + if (k) { + a[0] /= k; + a[1] /= k; + } + return k; +} + +function d3_transformCombine(a, b, k) { + a[0] += k * b[0]; + a[1] += k * b[1]; + return a; +} + +var d3_transformDegrees = 180 / Math.PI; +d3.mouse = function(container) { + return d3_mousePoint(container, d3_eventSource()); +}; + +// https://bugs.webkit.org/show_bug.cgi?id=44083 +var d3_mouse_bug44083 = /WebKit/.test(navigator.userAgent) ? -1 : 0; + +function d3_mousePoint(container, e) { + var svg = container.ownerSVGElement || container; + if (svg.createSVGPoint) { + var point = svg.createSVGPoint(); + if ((d3_mouse_bug44083 < 0) && (window.scrollX || window.scrollY)) { + svg = d3.select(document.body) + .append("svg") + .style("position", "absolute") + .style("top", 0) + .style("left", 0); + var ctm = svg[0][0].getScreenCTM(); + d3_mouse_bug44083 = !(ctm.f || ctm.e); + svg.remove(); + } + if (d3_mouse_bug44083) { + point.x = e.pageX; + point.y = e.pageY; + } else { + point.x = e.clientX; + point.y = e.clientY; + } + point = point.matrixTransform(container.getScreenCTM().inverse()); + return [point.x, point.y]; + } + var rect = container.getBoundingClientRect(); + return [e.clientX - rect.left - container.clientLeft, e.clientY - rect.top - container.clientTop]; +}; +d3.touches = function(container, touches) { + if (arguments.length < 2) touches = d3_eventSource().touches; + return touches ? d3_array(touches).map(function(touch) { + var point = d3_mousePoint(container, touch); + point.identifier = touch.identifier; + return point; + }) : []; +}; +function d3_noop() {} +d3.scale = {}; + +function d3_scaleExtent(domain) { + var start = domain[0], stop = domain[domain.length - 1]; + return start < stop ? [start, stop] : [stop, start]; +} + +function d3_scaleRange(scale) { + return scale.rangeExtent ? scale.rangeExtent() : d3_scaleExtent(scale.range()); +} +function d3_scale_nice(domain, nice) { + var i0 = 0, + i1 = domain.length - 1, + x0 = domain[i0], + x1 = domain[i1], + dx; + + if (x1 < x0) { + dx = i0; i0 = i1; i1 = dx; + dx = x0; x0 = x1; x1 = dx; + } + + if (dx = x1 - x0) { + nice = nice(dx); + domain[i0] = nice.floor(x0); + domain[i1] = nice.ceil(x1); + } + + return domain; +} + +function d3_scale_niceDefault() { + return Math; +} +d3.scale.linear = function() { + return d3_scale_linear([0, 1], [0, 1], d3.interpolate, false); +}; + +function d3_scale_linear(domain, range, interpolate, clamp) { + var output, + input; + + function rescale() { + var linear = Math.min(domain.length, range.length) > 2 ? d3_scale_polylinear : d3_scale_bilinear, + uninterpolate = clamp ? d3_uninterpolateClamp : d3_uninterpolateNumber; + output = linear(domain, range, uninterpolate, interpolate); + input = linear(range, domain, uninterpolate, d3.interpolate); + return scale; + } + + function scale(x) { + return output(x); + } + + // Note: requires range is coercible to number! + scale.invert = function(y) { + return input(y); + }; + + scale.domain = function(x) { + if (!arguments.length) return domain; + domain = x.map(Number); + return rescale(); + }; + + scale.range = function(x) { + if (!arguments.length) return range; + range = x; + return rescale(); + }; + + scale.rangeRound = function(x) { + return scale.range(x).interpolate(d3.interpolateRound); + }; + + scale.clamp = function(x) { + if (!arguments.length) return clamp; + clamp = x; + return rescale(); + }; + + scale.interpolate = function(x) { + if (!arguments.length) return interpolate; + interpolate = x; + return rescale(); + }; + + scale.ticks = function(m) { + return d3_scale_linearTicks(domain, m); + }; + + scale.tickFormat = function(m) { + return d3_scale_linearTickFormat(domain, m); + }; + + scale.nice = function() { + d3_scale_nice(domain, d3_scale_linearNice); + return rescale(); + }; + + scale.copy = function() { + return d3_scale_linear(domain, range, interpolate, clamp); + }; + + return rescale(); +} + +function d3_scale_linearRebind(scale, linear) { + return d3.rebind(scale, linear, "range", "rangeRound", "interpolate", "clamp"); +} + +function d3_scale_linearNice(dx) { + dx = Math.pow(10, Math.round(Math.log(dx) / Math.LN10) - 1); + return { + floor: function(x) { return Math.floor(x / dx) * dx; }, + ceil: function(x) { return Math.ceil(x / dx) * dx; } + }; +} + +function d3_scale_linearTickRange(domain, m) { + var extent = d3_scaleExtent(domain), + span = extent[1] - extent[0], + step = Math.pow(10, Math.floor(Math.log(span / m) / Math.LN10)), + err = m / span * step; + + // Filter ticks to get closer to the desired count. + if (err <= .15) step *= 10; + else if (err <= .35) step *= 5; + else if (err <= .75) step *= 2; + + // Round start and stop values to step interval. + extent[0] = Math.ceil(extent[0] / step) * step; + extent[1] = Math.floor(extent[1] / step) * step + step * .5; // inclusive + extent[2] = step; + return extent; +} + +function d3_scale_linearTicks(domain, m) { + return d3.range.apply(d3, d3_scale_linearTickRange(domain, m)); +} + +function d3_scale_linearTickFormat(domain, m) { + return d3.format(",." + Math.max(0, -Math.floor(Math.log(d3_scale_linearTickRange(domain, m)[2]) / Math.LN10 + .01)) + "f"); +} +function d3_scale_bilinear(domain, range, uninterpolate, interpolate) { + var u = uninterpolate(domain[0], domain[1]), + i = interpolate(range[0], range[1]); + return function(x) { + return i(u(x)); + }; +} +function d3_scale_polylinear(domain, range, uninterpolate, interpolate) { + var u = [], + i = [], + j = 0, + k = Math.min(domain.length, range.length) - 1; + + // Handle descending domains. + if (domain[k] < domain[0]) { + domain = domain.slice().reverse(); + range = range.slice().reverse(); + } + + while (++j <= k) { + u.push(uninterpolate(domain[j - 1], domain[j])); + i.push(interpolate(range[j - 1], range[j])); + } + + return function(x) { + var j = d3.bisect(domain, x, 1, k) - 1; + return i[j](u[j](x)); + }; +} +d3.scale.log = function() { + return d3_scale_log(d3.scale.linear(), d3_scale_logp); +}; + +function d3_scale_log(linear, log) { + var pow = log.pow; + + function scale(x) { + return linear(log(x)); + } + + scale.invert = function(x) { + return pow(linear.invert(x)); + }; + + scale.domain = function(x) { + if (!arguments.length) return linear.domain().map(pow); + log = x[0] < 0 ? d3_scale_logn : d3_scale_logp; + pow = log.pow; + linear.domain(x.map(log)); + return scale; + }; + + scale.nice = function() { + linear.domain(d3_scale_nice(linear.domain(), d3_scale_niceDefault)); + return scale; + }; + + scale.ticks = function() { + var extent = d3_scaleExtent(linear.domain()), + ticks = []; + if (extent.every(isFinite)) { + var i = Math.floor(extent[0]), + j = Math.ceil(extent[1]), + u = pow(extent[0]), + v = pow(extent[1]); + if (log === d3_scale_logn) { + ticks.push(pow(i)); + for (; i++ < j;) for (var k = 9; k > 0; k--) ticks.push(pow(i) * k); + } else { + for (; i < j; i++) for (var k = 1; k < 10; k++) ticks.push(pow(i) * k); + ticks.push(pow(i)); + } + for (i = 0; ticks[i] < u; i++) {} // strip small values + for (j = ticks.length; ticks[j - 1] > v; j--) {} // strip big values + ticks = ticks.slice(i, j); + } + return ticks; + }; + + scale.tickFormat = function(n, format) { + if (arguments.length < 2) format = d3_scale_logFormat; + if (arguments.length < 1) return format; + var k = n / scale.ticks().length, + f = log === d3_scale_logn ? (e = -1e-12, Math.floor) : (e = 1e-12, Math.ceil), + e; + return function(d) { + return d / pow(f(log(d) + e)) < k ? format(d) : ""; + }; + }; + + scale.copy = function() { + return d3_scale_log(linear.copy(), log); + }; + + return d3_scale_linearRebind(scale, linear); +} + +var d3_scale_logFormat = d3.format(".0e"); + +function d3_scale_logp(x) { + return Math.log(x < 0 ? 0 : x) / Math.LN10; +} + +function d3_scale_logn(x) { + return -Math.log(x > 0 ? 0 : -x) / Math.LN10; +} + +d3_scale_logp.pow = function(x) { + return Math.pow(10, x); +}; + +d3_scale_logn.pow = function(x) { + return -Math.pow(10, -x); +}; +d3.scale.pow = function() { + return d3_scale_pow(d3.scale.linear(), 1); +}; + +function d3_scale_pow(linear, exponent) { + var powp = d3_scale_powPow(exponent), + powb = d3_scale_powPow(1 / exponent); + + function scale(x) { + return linear(powp(x)); + } + + scale.invert = function(x) { + return powb(linear.invert(x)); + }; + + scale.domain = function(x) { + if (!arguments.length) return linear.domain().map(powb); + linear.domain(x.map(powp)); + return scale; + }; + + scale.ticks = function(m) { + return d3_scale_linearTicks(scale.domain(), m); + }; + + scale.tickFormat = function(m) { + return d3_scale_linearTickFormat(scale.domain(), m); + }; + + scale.nice = function() { + return scale.domain(d3_scale_nice(scale.domain(), d3_scale_linearNice)); + }; + + scale.exponent = function(x) { + if (!arguments.length) return exponent; + var domain = scale.domain(); + powp = d3_scale_powPow(exponent = x); + powb = d3_scale_powPow(1 / exponent); + return scale.domain(domain); + }; + + scale.copy = function() { + return d3_scale_pow(linear.copy(), exponent); + }; + + return d3_scale_linearRebind(scale, linear); +} + +function d3_scale_powPow(e) { + return function(x) { + return x < 0 ? -Math.pow(-x, e) : Math.pow(x, e); + }; +} +d3.scale.sqrt = function() { + return d3.scale.pow().exponent(.5); +}; +d3.scale.ordinal = function() { + return d3_scale_ordinal([], {t: "range", x: []}); +}; + +function d3_scale_ordinal(domain, ranger) { + var index, + range, + rangeBand; + + function scale(x) { + return range[((index.get(x) || index.set(x, domain.push(x))) - 1) % range.length]; + } + + function steps(start, step) { + return d3.range(domain.length).map(function(i) { return start + step * i; }); + } + + scale.domain = function(x) { + if (!arguments.length) return domain; + domain = []; + index = new d3_Map; + var i = -1, n = x.length, xi; + while (++i < n) if (!index.has(xi = x[i])) index.set(xi, domain.push(xi)); + return scale[ranger.t](ranger.x, ranger.p); + }; + + scale.range = function(x) { + if (!arguments.length) return range; + range = x; + rangeBand = 0; + ranger = {t: "range", x: x}; + return scale; + }; + + scale.rangePoints = function(x, padding) { + if (arguments.length < 2) padding = 0; + var start = x[0], + stop = x[1], + step = (stop - start) / (domain.length - 1 + padding); + range = steps(domain.length < 2 ? (start + stop) / 2 : start + step * padding / 2, step); + rangeBand = 0; + ranger = {t: "rangePoints", x: x, p: padding}; + return scale; + }; + + scale.rangeBands = function(x, padding) { + if (arguments.length < 2) padding = 0; + var reverse = x[1] < x[0], + start = x[reverse - 0], + stop = x[1 - reverse], + step = (stop - start) / (domain.length + padding); + range = steps(start + step * padding, step); + if (reverse) range.reverse(); + rangeBand = step * (1 - padding); + ranger = {t: "rangeBands", x: x, p: padding}; + return scale; + }; + + scale.rangeRoundBands = function(x, padding) { + if (arguments.length < 2) padding = 0; + var reverse = x[1] < x[0], + start = x[reverse - 0], + stop = x[1 - reverse], + step = Math.floor((stop - start) / (domain.length + padding)), + error = stop - start - (domain.length - padding) * step; + range = steps(start + Math.round(error / 2), step); + if (reverse) range.reverse(); + rangeBand = Math.round(step * (1 - padding)); + ranger = {t: "rangeRoundBands", x: x, p: padding}; + return scale; + }; + + scale.rangeBand = function() { + return rangeBand; + }; + + scale.rangeExtent = function() { + return d3_scaleExtent(ranger.x); + }; + + scale.copy = function() { + return d3_scale_ordinal(domain, ranger); + }; + + return scale.domain(domain); +} +/* + * This product includes color specifications and designs developed by Cynthia + * Brewer (http://colorbrewer.org/). See lib/colorbrewer for more information. + */ + +d3.scale.category10 = function() { + return d3.scale.ordinal().range(d3_category10); +}; + +d3.scale.category20 = function() { + return d3.scale.ordinal().range(d3_category20); +}; + +d3.scale.category20b = function() { + return d3.scale.ordinal().range(d3_category20b); +}; + +d3.scale.category20c = function() { + return d3.scale.ordinal().range(d3_category20c); +}; + +var d3_category10 = [ + "#1f77b4", "#ff7f0e", "#2ca02c", "#d62728", "#9467bd", + "#8c564b", "#e377c2", "#7f7f7f", "#bcbd22", "#17becf" +]; + +var d3_category20 = [ + "#1f77b4", "#aec7e8", + "#ff7f0e", "#ffbb78", + "#2ca02c", "#98df8a", + "#d62728", "#ff9896", + "#9467bd", "#c5b0d5", + "#8c564b", "#c49c94", + "#e377c2", "#f7b6d2", + "#7f7f7f", "#c7c7c7", + "#bcbd22", "#dbdb8d", + "#17becf", "#9edae5" +]; + +var d3_category20b = [ + "#393b79", "#5254a3", "#6b6ecf", "#9c9ede", + "#637939", "#8ca252", "#b5cf6b", "#cedb9c", + "#8c6d31", "#bd9e39", "#e7ba52", "#e7cb94", + "#843c39", "#ad494a", "#d6616b", "#e7969c", + "#7b4173", "#a55194", "#ce6dbd", "#de9ed6" +]; + +var d3_category20c = [ + "#3182bd", "#6baed6", "#9ecae1", "#c6dbef", + "#e6550d", "#fd8d3c", "#fdae6b", "#fdd0a2", + "#31a354", "#74c476", "#a1d99b", "#c7e9c0", + "#756bb1", "#9e9ac8", "#bcbddc", "#dadaeb", + "#636363", "#969696", "#bdbdbd", "#d9d9d9" +]; +d3.scale.quantile = function() { + return d3_scale_quantile([], []); +}; + +function d3_scale_quantile(domain, range) { + var thresholds; + + function rescale() { + var k = 0, + n = domain.length, + q = range.length; + thresholds = []; + while (++k < q) thresholds[k - 1] = d3.quantile(domain, k / q); + return scale; + } + + function scale(x) { + if (isNaN(x = +x)) return NaN; + return range[d3.bisect(thresholds, x)]; + } + + scale.domain = function(x) { + if (!arguments.length) return domain; + domain = x.filter(function(d) { return !isNaN(d); }).sort(d3.ascending); + return rescale(); + }; + + scale.range = function(x) { + if (!arguments.length) return range; + range = x; + return rescale(); + }; + + scale.quantiles = function() { + return thresholds; + }; + + scale.copy = function() { + return d3_scale_quantile(domain, range); // copy on write! + }; + + return rescale(); +} +d3.scale.quantize = function() { + return d3_scale_quantize(0, 1, [0, 1]); +}; + +function d3_scale_quantize(x0, x1, range) { + var kx, i; + + function scale(x) { + return range[Math.max(0, Math.min(i, Math.floor(kx * (x - x0))))]; + } + + function rescale() { + kx = range.length / (x1 - x0); + i = range.length - 1; + return scale; + } + + scale.domain = function(x) { + if (!arguments.length) return [x0, x1]; + x0 = +x[0]; + x1 = +x[x.length - 1]; + return rescale(); + }; + + scale.range = function(x) { + if (!arguments.length) return range; + range = x; + return rescale(); + }; + + scale.copy = function() { + return d3_scale_quantize(x0, x1, range); // copy on write + }; + + return rescale(); +} +d3.scale.identity = function() { + return d3_scale_identity([0, 1]); +}; + +function d3_scale_identity(domain) { + + function identity(x) { return +x; } + + identity.invert = identity; + + identity.domain = identity.range = function(x) { + if (!arguments.length) return domain; + domain = x.map(identity); + return identity; + }; + + identity.ticks = function(m) { + return d3_scale_linearTicks(domain, m); + }; + + identity.tickFormat = function(m) { + return d3_scale_linearTickFormat(domain, m); + }; + + identity.copy = function() { + return d3_scale_identity(domain); + }; + + return identity; +} +d3.svg = {}; +d3.svg.arc = function() { + var innerRadius = d3_svg_arcInnerRadius, + outerRadius = d3_svg_arcOuterRadius, + startAngle = d3_svg_arcStartAngle, + endAngle = d3_svg_arcEndAngle; + + function arc() { + var r0 = innerRadius.apply(this, arguments), + r1 = outerRadius.apply(this, arguments), + a0 = startAngle.apply(this, arguments) + d3_svg_arcOffset, + a1 = endAngle.apply(this, arguments) + d3_svg_arcOffset, + da = (a1 < a0 && (da = a0, a0 = a1, a1 = da), a1 - a0), + df = da < Math.PI ? "0" : "1", + c0 = Math.cos(a0), + s0 = Math.sin(a0), + c1 = Math.cos(a1), + s1 = Math.sin(a1); + return da >= d3_svg_arcMax + ? (r0 + ? "M0," + r1 + + "A" + r1 + "," + r1 + " 0 1,1 0," + (-r1) + + "A" + r1 + "," + r1 + " 0 1,1 0," + r1 + + "M0," + r0 + + "A" + r0 + "," + r0 + " 0 1,0 0," + (-r0) + + "A" + r0 + "," + r0 + " 0 1,0 0," + r0 + + "Z" + : "M0," + r1 + + "A" + r1 + "," + r1 + " 0 1,1 0," + (-r1) + + "A" + r1 + "," + r1 + " 0 1,1 0," + r1 + + "Z") + : (r0 + ? "M" + r1 * c0 + "," + r1 * s0 + + "A" + r1 + "," + r1 + " 0 " + df + ",1 " + r1 * c1 + "," + r1 * s1 + + "L" + r0 * c1 + "," + r0 * s1 + + "A" + r0 + "," + r0 + " 0 " + df + ",0 " + r0 * c0 + "," + r0 * s0 + + "Z" + : "M" + r1 * c0 + "," + r1 * s0 + + "A" + r1 + "," + r1 + " 0 " + df + ",1 " + r1 * c1 + "," + r1 * s1 + + "L0,0" + + "Z"); + } + + arc.innerRadius = function(v) { + if (!arguments.length) return innerRadius; + innerRadius = d3_functor(v); + return arc; + }; + + arc.outerRadius = function(v) { + if (!arguments.length) return outerRadius; + outerRadius = d3_functor(v); + return arc; + }; + + arc.startAngle = function(v) { + if (!arguments.length) return startAngle; + startAngle = d3_functor(v); + return arc; + }; + + arc.endAngle = function(v) { + if (!arguments.length) return endAngle; + endAngle = d3_functor(v); + return arc; + }; + + arc.centroid = function() { + var r = (innerRadius.apply(this, arguments) + + outerRadius.apply(this, arguments)) / 2, + a = (startAngle.apply(this, arguments) + + endAngle.apply(this, arguments)) / 2 + d3_svg_arcOffset; + return [Math.cos(a) * r, Math.sin(a) * r]; + }; + + return arc; +}; + +var d3_svg_arcOffset = -Math.PI / 2, + d3_svg_arcMax = 2 * Math.PI - 1e-6; + +function d3_svg_arcInnerRadius(d) { + return d.innerRadius; +} + +function d3_svg_arcOuterRadius(d) { + return d.outerRadius; +} + +function d3_svg_arcStartAngle(d) { + return d.startAngle; +} + +function d3_svg_arcEndAngle(d) { + return d.endAngle; +} +function d3_svg_line(projection) { + var x = d3_svg_lineX, + y = d3_svg_lineY, + defined = d3_true, + interpolate = d3_svg_lineInterpolatorDefault, + interpolator = d3_svg_lineLinear, + tension = .7; + + function line(data) { + var segments = [], + points = [], + i = -1, + n = data.length, + d, + fx = d3_functor(x), + fy = d3_functor(y); + + function segment() { + segments.push("M", interpolator(projection(points), tension)); + } + + while (++i < n) { + if (defined.call(this, d = data[i], i)) { + points.push([+fx.call(this, d, i), +fy.call(this, d, i)]); + } else if (points.length) { + segment(); + points = []; + } + } + + if (points.length) segment(); + + return segments.length ? segments.join("") : null; + } + + line.x = function(_) { + if (!arguments.length) return x; + x = _; + return line; + }; + + line.y = function(_) { + if (!arguments.length) return y; + y = _; + return line; + }; + + line.defined = function(_) { + if (!arguments.length) return defined; + defined = _; + return line; + }; + + line.interpolate = function(_) { + if (!arguments.length) return interpolate; + if (!d3_svg_lineInterpolators.has(_ += "")) _ = d3_svg_lineInterpolatorDefault; + interpolator = d3_svg_lineInterpolators.get(interpolate = _); + return line; + }; + + line.tension = function(_) { + if (!arguments.length) return tension; + tension = _; + return line; + }; + + return line; +} + +d3.svg.line = function() { + return d3_svg_line(d3_identity); +}; + +// The default `x` property, which references d[0]. +function d3_svg_lineX(d) { + return d[0]; +} + +// The default `y` property, which references d[1]. +function d3_svg_lineY(d) { + return d[1]; +} + +var d3_svg_lineInterpolatorDefault = "linear"; + +// The various interpolators supported by the `line` class. +var d3_svg_lineInterpolators = d3.map({ + "linear": d3_svg_lineLinear, + "step-before": d3_svg_lineStepBefore, + "step-after": d3_svg_lineStepAfter, + "basis": d3_svg_lineBasis, + "basis-open": d3_svg_lineBasisOpen, + "basis-closed": d3_svg_lineBasisClosed, + "bundle": d3_svg_lineBundle, + "cardinal": d3_svg_lineCardinal, + "cardinal-open": d3_svg_lineCardinalOpen, + "cardinal-closed": d3_svg_lineCardinalClosed, + "monotone": d3_svg_lineMonotone +}); + +// Linear interpolation; generates "L" commands. +function d3_svg_lineLinear(points) { + var i = 0, + n = points.length, + p = points[0], + path = [p[0], ",", p[1]]; + while (++i < n) path.push("L", (p = points[i])[0], ",", p[1]); + return path.join(""); +} + +// Step interpolation; generates "H" and "V" commands. +function d3_svg_lineStepBefore(points) { + var i = 0, + n = points.length, + p = points[0], + path = [p[0], ",", p[1]]; + while (++i < n) path.push("V", (p = points[i])[1], "H", p[0]); + return path.join(""); +} + +// Step interpolation; generates "H" and "V" commands. +function d3_svg_lineStepAfter(points) { + var i = 0, + n = points.length, + p = points[0], + path = [p[0], ",", p[1]]; + while (++i < n) path.push("H", (p = points[i])[0], "V", p[1]); + return path.join(""); +} + +// Open cardinal spline interpolation; generates "C" commands. +function d3_svg_lineCardinalOpen(points, tension) { + return points.length < 4 + ? d3_svg_lineLinear(points) + : points[1] + d3_svg_lineHermite(points.slice(1, points.length - 1), + d3_svg_lineCardinalTangents(points, tension)); +} + +// Closed cardinal spline interpolation; generates "C" commands. +function d3_svg_lineCardinalClosed(points, tension) { + return points.length < 3 + ? d3_svg_lineLinear(points) + : points[0] + d3_svg_lineHermite((points.push(points[0]), points), + d3_svg_lineCardinalTangents([points[points.length - 2]] + .concat(points, [points[1]]), tension)); +} + +// Cardinal spline interpolation; generates "C" commands. +function d3_svg_lineCardinal(points, tension, closed) { + return points.length < 3 + ? d3_svg_lineLinear(points) + : points[0] + d3_svg_lineHermite(points, + d3_svg_lineCardinalTangents(points, tension)); +} + +// Hermite spline construction; generates "C" commands. +function d3_svg_lineHermite(points, tangents) { + if (tangents.length < 1 + || (points.length != tangents.length + && points.length != tangents.length + 2)) { + return d3_svg_lineLinear(points); + } + + var quad = points.length != tangents.length, + path = "", + p0 = points[0], + p = points[1], + t0 = tangents[0], + t = t0, + pi = 1; + + if (quad) { + path += "Q" + (p[0] - t0[0] * 2 / 3) + "," + (p[1] - t0[1] * 2 / 3) + + "," + p[0] + "," + p[1]; + p0 = points[1]; + pi = 2; + } + + if (tangents.length > 1) { + t = tangents[1]; + p = points[pi]; + pi++; + path += "C" + (p0[0] + t0[0]) + "," + (p0[1] + t0[1]) + + "," + (p[0] - t[0]) + "," + (p[1] - t[1]) + + "," + p[0] + "," + p[1]; + for (var i = 2; i < tangents.length; i++, pi++) { + p = points[pi]; + t = tangents[i]; + path += "S" + (p[0] - t[0]) + "," + (p[1] - t[1]) + + "," + p[0] + "," + p[1]; + } + } + + if (quad) { + var lp = points[pi]; + path += "Q" + (p[0] + t[0] * 2 / 3) + "," + (p[1] + t[1] * 2 / 3) + + "," + lp[0] + "," + lp[1]; + } + + return path; +} + +// Generates tangents for a cardinal spline. +function d3_svg_lineCardinalTangents(points, tension) { + var tangents = [], + a = (1 - tension) / 2, + p0, + p1 = points[0], + p2 = points[1], + i = 1, + n = points.length; + while (++i < n) { + p0 = p1; + p1 = p2; + p2 = points[i]; + tangents.push([a * (p2[0] - p0[0]), a * (p2[1] - p0[1])]); + } + return tangents; +} + +// B-spline interpolation; generates "C" commands. +function d3_svg_lineBasis(points) { + if (points.length < 3) return d3_svg_lineLinear(points); + var i = 1, + n = points.length, + pi = points[0], + x0 = pi[0], + y0 = pi[1], + px = [x0, x0, x0, (pi = points[1])[0]], + py = [y0, y0, y0, pi[1]], + path = [x0, ",", y0]; + d3_svg_lineBasisBezier(path, px, py); + while (++i < n) { + pi = points[i]; + px.shift(); px.push(pi[0]); + py.shift(); py.push(pi[1]); + d3_svg_lineBasisBezier(path, px, py); + } + i = -1; + while (++i < 2) { + px.shift(); px.push(pi[0]); + py.shift(); py.push(pi[1]); + d3_svg_lineBasisBezier(path, px, py); + } + return path.join(""); +} + +// Open B-spline interpolation; generates "C" commands. +function d3_svg_lineBasisOpen(points) { + if (points.length < 4) return d3_svg_lineLinear(points); + var path = [], + i = -1, + n = points.length, + pi, + px = [0], + py = [0]; + while (++i < 3) { + pi = points[i]; + px.push(pi[0]); + py.push(pi[1]); + } + path.push(d3_svg_lineDot4(d3_svg_lineBasisBezier3, px) + + "," + d3_svg_lineDot4(d3_svg_lineBasisBezier3, py)); + --i; while (++i < n) { + pi = points[i]; + px.shift(); px.push(pi[0]); + py.shift(); py.push(pi[1]); + d3_svg_lineBasisBezier(path, px, py); + } + return path.join(""); +} + +// Closed B-spline interpolation; generates "C" commands. +function d3_svg_lineBasisClosed(points) { + var path, + i = -1, + n = points.length, + m = n + 4, + pi, + px = [], + py = []; + while (++i < 4) { + pi = points[i % n]; + px.push(pi[0]); + py.push(pi[1]); + } + path = [ + d3_svg_lineDot4(d3_svg_lineBasisBezier3, px), ",", + d3_svg_lineDot4(d3_svg_lineBasisBezier3, py) + ]; + --i; while (++i < m) { + pi = points[i % n]; + px.shift(); px.push(pi[0]); + py.shift(); py.push(pi[1]); + d3_svg_lineBasisBezier(path, px, py); + } + return path.join(""); +} + +function d3_svg_lineBundle(points, tension) { + var n = points.length - 1, + x0 = points[0][0], + y0 = points[0][1], + dx = points[n][0] - x0, + dy = points[n][1] - y0, + i = -1, + p, + t; + while (++i <= n) { + p = points[i]; + t = i / n; + p[0] = tension * p[0] + (1 - tension) * (x0 + t * dx); + p[1] = tension * p[1] + (1 - tension) * (y0 + t * dy); + } + return d3_svg_lineBasis(points); +} + +// Returns the dot product of the given four-element vectors. +function d3_svg_lineDot4(a, b) { + return a[0] * b[0] + a[1] * b[1] + a[2] * b[2] + a[3] * b[3]; +} + +// Matrix to transform basis (b-spline) control points to bezier +// control points. Derived from FvD 11.2.8. +var d3_svg_lineBasisBezier1 = [0, 2/3, 1/3, 0], + d3_svg_lineBasisBezier2 = [0, 1/3, 2/3, 0], + d3_svg_lineBasisBezier3 = [0, 1/6, 2/3, 1/6]; + +// Pushes a "C" Bézier curve onto the specified path array, given the +// two specified four-element arrays which define the control points. +function d3_svg_lineBasisBezier(path, x, y) { + path.push( + "C", d3_svg_lineDot4(d3_svg_lineBasisBezier1, x), + ",", d3_svg_lineDot4(d3_svg_lineBasisBezier1, y), + ",", d3_svg_lineDot4(d3_svg_lineBasisBezier2, x), + ",", d3_svg_lineDot4(d3_svg_lineBasisBezier2, y), + ",", d3_svg_lineDot4(d3_svg_lineBasisBezier3, x), + ",", d3_svg_lineDot4(d3_svg_lineBasisBezier3, y)); +} + +// Computes the slope from points p0 to p1. +function d3_svg_lineSlope(p0, p1) { + return (p1[1] - p0[1]) / (p1[0] - p0[0]); +} + +// Compute three-point differences for the given points. +// http://en.wikipedia.org/wiki/Cubic_Hermite_spline#Finite_difference +function d3_svg_lineFiniteDifferences(points) { + var i = 0, + j = points.length - 1, + m = [], + p0 = points[0], + p1 = points[1], + d = m[0] = d3_svg_lineSlope(p0, p1); + while (++i < j) { + m[i] = d + (d = d3_svg_lineSlope(p0 = p1, p1 = points[i + 1])); + } + m[i] = d; + return m; +} + +// Interpolates the given points using Fritsch-Carlson Monotone cubic Hermite +// interpolation. Returns an array of tangent vectors. For details, see +// http://en.wikipedia.org/wiki/Monotone_cubic_interpolation +function d3_svg_lineMonotoneTangents(points) { + var tangents = [], + d, + a, + b, + s, + m = d3_svg_lineFiniteDifferences(points), + i = -1, + j = points.length - 1; + + // The first two steps are done by computing finite-differences: + // 1. Compute the slopes of the secant lines between successive points. + // 2. Initialize the tangents at every point as the average of the secants. + + // Then, for each segment… + while (++i < j) { + d = d3_svg_lineSlope(points[i], points[i + 1]); + + // 3. If two successive yk = y{k + 1} are equal (i.e., d is zero), then set + // mk = m{k + 1} = 0 as the spline connecting these points must be flat to + // preserve monotonicity. Ignore step 4 and 5 for those k. + + if (Math.abs(d) < 1e-6) { + m[i] = m[i + 1] = 0; + } else { + // 4. Let ak = mk / dk and bk = m{k + 1} / dk. + a = m[i] / d; + b = m[i + 1] / d; + + // 5. Prevent overshoot and ensure monotonicity by restricting the + // magnitude of vector to a circle of radius 3. + s = a * a + b * b; + if (s > 9) { + s = d * 3 / Math.sqrt(s); + m[i] = s * a; + m[i + 1] = s * b; + } + } + } + + // Compute the normalized tangent vector from the slopes. Note that if x is + // not monotonic, it's possible that the slope will be infinite, so we protect + // against NaN by setting the coordinate to zero. + i = -1; while (++i <= j) { + s = (points[Math.min(j, i + 1)][0] - points[Math.max(0, i - 1)][0]) / (6 * (1 + m[i] * m[i])); + tangents.push([s || 0, m[i] * s || 0]); + } + + return tangents; +} + +function d3_svg_lineMonotone(points) { + return points.length < 3 + ? d3_svg_lineLinear(points) + : points[0] + d3_svg_lineHermite(points, d3_svg_lineMonotoneTangents(points)); +} +d3.svg.line.radial = function() { + var line = d3_svg_line(d3_svg_lineRadial); + line.radius = line.x, delete line.x; + line.angle = line.y, delete line.y; + return line; +}; + +function d3_svg_lineRadial(points) { + var point, + i = -1, + n = points.length, + r, + a; + while (++i < n) { + point = points[i]; + r = point[0]; + a = point[1] + d3_svg_arcOffset; + point[0] = r * Math.cos(a); + point[1] = r * Math.sin(a); + } + return points; +} +function d3_svg_area(projection) { + var x0 = d3_svg_lineX, + x1 = d3_svg_lineX, + y0 = 0, + y1 = d3_svg_lineY, + defined = d3_true, + interpolate = d3_svg_lineInterpolatorDefault, + i0 = d3_svg_lineLinear, + i1 = d3_svg_lineLinear, + L = "L", + tension = .7; + + function area(data) { + var segments = [], + points0 = [], + points1 = [], + i = -1, + n = data.length, + d, + fx0 = d3_functor(x0), + fy0 = d3_functor(y0), + fx1 = x0 === x1 ? function() { return x; } : d3_functor(x1), + fy1 = y0 === y1 ? function() { return y; } : d3_functor(y1), + x, + y; + + function segment() { + segments.push("M", i0(projection(points1), tension), + L, i1(projection(points0.reverse()), tension), + "Z"); + } + + while (++i < n) { + if (defined.call(this, d = data[i], i)) { + points0.push([x = +fx0.call(this, d, i), y = +fy0.call(this, d, i)]); + points1.push([+fx1.call(this, d, i), +fy1.call(this, d, i)]); + } else if (points0.length) { + segment(); + points0 = []; + points1 = []; + } + } + + if (points0.length) segment(); + + return segments.length ? segments.join("") : null; + } + + area.x = function(_) { + if (!arguments.length) return x1; + x0 = x1 = _; + return area; + }; + + area.x0 = function(_) { + if (!arguments.length) return x0; + x0 = _; + return area; + }; + + area.x1 = function(_) { + if (!arguments.length) return x1; + x1 = _; + return area; + }; + + area.y = function(_) { + if (!arguments.length) return y1; + y0 = y1 = _; + return area; + }; + + area.y0 = function(_) { + if (!arguments.length) return y0; + y0 = _; + return area; + }; + + area.y1 = function(_) { + if (!arguments.length) return y1; + y1 = _; + return area; + }; + + area.defined = function(_) { + if (!arguments.length) return defined; + defined = _; + return area; + }; + + area.interpolate = function(_) { + if (!arguments.length) return interpolate; + if (!d3_svg_lineInterpolators.has(_ += "")) _ = d3_svg_lineInterpolatorDefault; + i0 = d3_svg_lineInterpolators.get(interpolate = _); + i1 = i0.reverse || i0; + L = /-closed$/.test(_) ? "M" : "L"; + return area; + }; + + area.tension = function(_) { + if (!arguments.length) return tension; + tension = _; + return area; + }; + + return area; +} + +d3_svg_lineStepBefore.reverse = d3_svg_lineStepAfter; +d3_svg_lineStepAfter.reverse = d3_svg_lineStepBefore; + +d3.svg.area = function() { + return d3_svg_area(Object); +}; +d3.svg.area.radial = function() { + var area = d3_svg_area(d3_svg_lineRadial); + area.radius = area.x, delete area.x; + area.innerRadius = area.x0, delete area.x0; + area.outerRadius = area.x1, delete area.x1; + area.angle = area.y, delete area.y; + area.startAngle = area.y0, delete area.y0; + area.endAngle = area.y1, delete area.y1; + return area; +}; +d3.svg.chord = function() { + var source = d3_svg_chordSource, + target = d3_svg_chordTarget, + radius = d3_svg_chordRadius, + startAngle = d3_svg_arcStartAngle, + endAngle = d3_svg_arcEndAngle; + + // TODO Allow control point to be customized. + + function chord(d, i) { + var s = subgroup(this, source, d, i), + t = subgroup(this, target, d, i); + return "M" + s.p0 + + arc(s.r, s.p1, s.a1 - s.a0) + (equals(s, t) + ? curve(s.r, s.p1, s.r, s.p0) + : curve(s.r, s.p1, t.r, t.p0) + + arc(t.r, t.p1, t.a1 - t.a0) + + curve(t.r, t.p1, s.r, s.p0)) + + "Z"; + } + + function subgroup(self, f, d, i) { + var subgroup = f.call(self, d, i), + r = radius.call(self, subgroup, i), + a0 = startAngle.call(self, subgroup, i) + d3_svg_arcOffset, + a1 = endAngle.call(self, subgroup, i) + d3_svg_arcOffset; + return { + r: r, + a0: a0, + a1: a1, + p0: [r * Math.cos(a0), r * Math.sin(a0)], + p1: [r * Math.cos(a1), r * Math.sin(a1)] + }; + } + + function equals(a, b) { + return a.a0 == b.a0 && a.a1 == b.a1; + } + + function arc(r, p, a) { + return "A" + r + "," + r + " 0 " + +(a > Math.PI) + ",1 " + p; + } + + function curve(r0, p0, r1, p1) { + return "Q 0,0 " + p1; + } + + chord.radius = function(v) { + if (!arguments.length) return radius; + radius = d3_functor(v); + return chord; + }; + + chord.source = function(v) { + if (!arguments.length) return source; + source = d3_functor(v); + return chord; + }; + + chord.target = function(v) { + if (!arguments.length) return target; + target = d3_functor(v); + return chord; + }; + + chord.startAngle = function(v) { + if (!arguments.length) return startAngle; + startAngle = d3_functor(v); + return chord; + }; + + chord.endAngle = function(v) { + if (!arguments.length) return endAngle; + endAngle = d3_functor(v); + return chord; + }; + + return chord; +}; + +function d3_svg_chordSource(d) { + return d.source; +} + +function d3_svg_chordTarget(d) { + return d.target; +} + +function d3_svg_chordRadius(d) { + return d.radius; +} + +function d3_svg_chordStartAngle(d) { + return d.startAngle; +} + +function d3_svg_chordEndAngle(d) { + return d.endAngle; +} +d3.svg.diagonal = function() { + var source = d3_svg_chordSource, + target = d3_svg_chordTarget, + projection = d3_svg_diagonalProjection; + + function diagonal(d, i) { + var p0 = source.call(this, d, i), + p3 = target.call(this, d, i), + m = (p0.y + p3.y) / 2, + p = [p0, {x: p0.x, y: m}, {x: p3.x, y: m}, p3]; + p = p.map(projection); + return "M" + p[0] + "C" + p[1] + " " + p[2] + " " + p[3]; + } + + diagonal.source = function(x) { + if (!arguments.length) return source; + source = d3_functor(x); + return diagonal; + }; + + diagonal.target = function(x) { + if (!arguments.length) return target; + target = d3_functor(x); + return diagonal; + }; + + diagonal.projection = function(x) { + if (!arguments.length) return projection; + projection = x; + return diagonal; + }; + + return diagonal; +}; + +function d3_svg_diagonalProjection(d) { + return [d.x, d.y]; +} +d3.svg.diagonal.radial = function() { + var diagonal = d3.svg.diagonal(), + projection = d3_svg_diagonalProjection, + projection_ = diagonal.projection; + + diagonal.projection = function(x) { + return arguments.length + ? projection_(d3_svg_diagonalRadialProjection(projection = x)) + : projection; + }; + + return diagonal; +}; + +function d3_svg_diagonalRadialProjection(projection) { + return function() { + var d = projection.apply(this, arguments), + r = d[0], + a = d[1] + d3_svg_arcOffset; + return [r * Math.cos(a), r * Math.sin(a)]; + }; +} +d3.svg.mouse = d3.mouse; +d3.svg.touches = d3.touches; +d3.svg.symbol = function() { + var type = d3_svg_symbolType, + size = d3_svg_symbolSize; + + function symbol(d, i) { + return (d3_svg_symbols.get(type.call(this, d, i)) + || d3_svg_symbolCircle) + (size.call(this, d, i)); + } + + symbol.type = function(x) { + if (!arguments.length) return type; + type = d3_functor(x); + return symbol; + }; + + // size of symbol in square pixels + symbol.size = function(x) { + if (!arguments.length) return size; + size = d3_functor(x); + return symbol; + }; + + return symbol; +}; + +function d3_svg_symbolSize() { + return 64; +} + +function d3_svg_symbolType() { + return "circle"; +} + +function d3_svg_symbolCircle(size) { + var r = Math.sqrt(size / Math.PI); + return "M0," + r + + "A" + r + "," + r + " 0 1,1 0," + (-r) + + "A" + r + "," + r + " 0 1,1 0," + r + + "Z"; +} + +// TODO cross-diagonal? +var d3_svg_symbols = d3.map({ + "circle": d3_svg_symbolCircle, + "cross": function(size) { + var r = Math.sqrt(size / 5) / 2; + return "M" + -3 * r + "," + -r + + "H" + -r + + "V" + -3 * r + + "H" + r + + "V" + -r + + "H" + 3 * r + + "V" + r + + "H" + r + + "V" + 3 * r + + "H" + -r + + "V" + r + + "H" + -3 * r + + "Z"; + }, + "diamond": function(size) { + var ry = Math.sqrt(size / (2 * d3_svg_symbolTan30)), + rx = ry * d3_svg_symbolTan30; + return "M0," + -ry + + "L" + rx + ",0" + + " 0," + ry + + " " + -rx + ",0" + + "Z"; + }, + "square": function(size) { + var r = Math.sqrt(size) / 2; + return "M" + -r + "," + -r + + "L" + r + "," + -r + + " " + r + "," + r + + " " + -r + "," + r + + "Z"; + }, + "triangle-down": function(size) { + var rx = Math.sqrt(size / d3_svg_symbolSqrt3), + ry = rx * d3_svg_symbolSqrt3 / 2; + return "M0," + ry + + "L" + rx +"," + -ry + + " " + -rx + "," + -ry + + "Z"; + }, + "triangle-up": function(size) { + var rx = Math.sqrt(size / d3_svg_symbolSqrt3), + ry = rx * d3_svg_symbolSqrt3 / 2; + return "M0," + -ry + + "L" + rx +"," + ry + + " " + -rx + "," + ry + + "Z"; + } +}); + +d3.svg.symbolTypes = d3_svg_symbols.keys(); + +var d3_svg_symbolSqrt3 = Math.sqrt(3), + d3_svg_symbolTan30 = Math.tan(30 * Math.PI / 180); +d3.svg.axis = function() { + var scale = d3.scale.linear(), + orient = "bottom", + tickMajorSize = 6, + tickMinorSize = 6, + tickEndSize = 6, + tickPadding = 3, + tickArguments_ = [10], + tickValues = null, + tickFormat_, + tickSubdivide = 0; + + function axis(g) { + g.each(function() { + var g = d3.select(this); + + // Ticks, or domain values for ordinal scales. + var ticks = tickValues == null ? (scale.ticks ? scale.ticks.apply(scale, tickArguments_) : scale.domain()) : tickValues, + tickFormat = tickFormat_ == null ? (scale.tickFormat ? scale.tickFormat.apply(scale, tickArguments_) : String) : tickFormat_; + + // Minor ticks. + var subticks = d3_svg_axisSubdivide(scale, ticks, tickSubdivide), + subtick = g.selectAll(".minor").data(subticks, String), + subtickEnter = subtick.enter().insert("line", "g").attr("class", "tick minor").style("opacity", 1e-6), + subtickExit = d3.transition(subtick.exit()).style("opacity", 1e-6).remove(), + subtickUpdate = d3.transition(subtick).style("opacity", 1); + + // Major ticks. + var tick = g.selectAll("g").data(ticks, String), + tickEnter = tick.enter().insert("g", "path").style("opacity", 1e-6), + tickExit = d3.transition(tick.exit()).style("opacity", 1e-6).remove(), + tickUpdate = d3.transition(tick).style("opacity", 1), + tickTransform; + + // Domain. + var range = d3_scaleRange(scale), + path = g.selectAll(".domain").data([0]), + pathEnter = path.enter().append("path").attr("class", "domain"), + pathUpdate = d3.transition(path); + + // Stash a snapshot of the new scale, and retrieve the old snapshot. + var scale1 = scale.copy(), + scale0 = this.__chart__ || scale1; + this.__chart__ = scale1; + + tickEnter.append("line").attr("class", "tick"); + tickEnter.append("text"); + tickUpdate.select("text").text(tickFormat); + + switch (orient) { + case "bottom": { + tickTransform = d3_svg_axisX; + subtickEnter.attr("y2", tickMinorSize); + subtickUpdate.attr("x2", 0).attr("y2", tickMinorSize); + tickEnter.select("line").attr("y2", tickMajorSize); + tickEnter.select("text").attr("y", Math.max(tickMajorSize, 0) + tickPadding); + tickUpdate.select("line").attr("x2", 0).attr("y2", tickMajorSize); + tickUpdate.select("text").attr("x", 0).attr("y", Math.max(tickMajorSize, 0) + tickPadding).attr("dy", ".71em").attr("text-anchor", "middle"); + pathUpdate.attr("d", "M" + range[0] + "," + tickEndSize + "V0H" + range[1] + "V" + tickEndSize); + break; + } + case "top": { + tickTransform = d3_svg_axisX; + subtickEnter.attr("y2", -tickMinorSize); + subtickUpdate.attr("x2", 0).attr("y2", -tickMinorSize); + tickEnter.select("line").attr("y2", -tickMajorSize); + tickEnter.select("text").attr("y", -(Math.max(tickMajorSize, 0) + tickPadding)); + tickUpdate.select("line").attr("x2", 0).attr("y2", -tickMajorSize); + tickUpdate.select("text").attr("x", 0).attr("y", -(Math.max(tickMajorSize, 0) + tickPadding)).attr("dy", "0em").attr("text-anchor", "middle"); + pathUpdate.attr("d", "M" + range[0] + "," + -tickEndSize + "V0H" + range[1] + "V" + -tickEndSize); + break; + } + case "left": { + tickTransform = d3_svg_axisY; + subtickEnter.attr("x2", -tickMinorSize); + subtickUpdate.attr("x2", -tickMinorSize).attr("y2", 0); + tickEnter.select("line").attr("x2", -tickMajorSize); + tickEnter.select("text").attr("x", -(Math.max(tickMajorSize, 0) + tickPadding)); + tickUpdate.select("line").attr("x2", -tickMajorSize).attr("y2", 0); + tickUpdate.select("text").attr("x", -(Math.max(tickMajorSize, 0) + tickPadding)).attr("y", 0).attr("dy", ".32em").attr("text-anchor", "end"); + pathUpdate.attr("d", "M" + -tickEndSize + "," + range[0] + "H0V" + range[1] + "H" + -tickEndSize); + break; + } + case "right": { + tickTransform = d3_svg_axisY; + subtickEnter.attr("x2", tickMinorSize); + subtickUpdate.attr("x2", tickMinorSize).attr("y2", 0); + tickEnter.select("line").attr("x2", tickMajorSize); + tickEnter.select("text").attr("x", Math.max(tickMajorSize, 0) + tickPadding); + tickUpdate.select("line").attr("x2", tickMajorSize).attr("y2", 0); + tickUpdate.select("text").attr("x", Math.max(tickMajorSize, 0) + tickPadding).attr("y", 0).attr("dy", ".32em").attr("text-anchor", "start"); + pathUpdate.attr("d", "M" + tickEndSize + "," + range[0] + "H0V" + range[1] + "H" + tickEndSize); + break; + } + } + + // For quantitative scales: + // - enter new ticks from the old scale + // - exit old ticks to the new scale + if (scale.ticks) { + tickEnter.call(tickTransform, scale0); + tickUpdate.call(tickTransform, scale1); + tickExit.call(tickTransform, scale1); + subtickEnter.call(tickTransform, scale0); + subtickUpdate.call(tickTransform, scale1); + subtickExit.call(tickTransform, scale1); + } + + // For ordinal scales: + // - any entering ticks are undefined in the old scale + // - any exiting ticks are undefined in the new scale + // Therefore, we only need to transition updating ticks. + else { + var dx = scale1.rangeBand() / 2, x = function(d) { return scale1(d) + dx; }; + tickEnter.call(tickTransform, x); + tickUpdate.call(tickTransform, x); + } + }); + } + + axis.scale = function(x) { + if (!arguments.length) return scale; + scale = x; + return axis; + }; + + axis.orient = function(x) { + if (!arguments.length) return orient; + orient = x; + return axis; + }; + + axis.ticks = function() { + if (!arguments.length) return tickArguments_; + tickArguments_ = arguments; + return axis; + }; + + axis.tickValues = function(x) { + if (!arguments.length) return tickValues; + tickValues = x; + return axis; + }; + + axis.tickFormat = function(x) { + if (!arguments.length) return tickFormat_; + tickFormat_ = x; + return axis; + }; + + axis.tickSize = function(x, y, z) { + if (!arguments.length) return tickMajorSize; + var n = arguments.length - 1; + tickMajorSize = +x; + tickMinorSize = n > 1 ? +y : tickMajorSize; + tickEndSize = n > 0 ? +arguments[n] : tickMajorSize; + return axis; + }; + + axis.tickPadding = function(x) { + if (!arguments.length) return tickPadding; + tickPadding = +x; + return axis; + }; + + axis.tickSubdivide = function(x) { + if (!arguments.length) return tickSubdivide; + tickSubdivide = +x; + return axis; + }; + + return axis; +}; + +function d3_svg_axisX(selection, x) { + selection.attr("transform", function(d) { return "translate(" + x(d) + ",0)"; }); +} + +function d3_svg_axisY(selection, y) { + selection.attr("transform", function(d) { return "translate(0," + y(d) + ")"; }); +} + +function d3_svg_axisSubdivide(scale, ticks, m) { + subticks = []; + if (m && ticks.length > 1) { + var extent = d3_scaleExtent(scale.domain()), + subticks, + i = -1, + n = ticks.length, + d = (ticks[1] - ticks[0]) / ++m, + j, + v; + while (++i < n) { + for (j = m; --j > 0;) { + if ((v = +ticks[i] - j * d) >= extent[0]) { + subticks.push(v); + } + } + } + for (--i, j = 0; ++j < m && (v = +ticks[i] + j * d) < extent[1];) { + subticks.push(v); + } + } + return subticks; +} +d3.svg.brush = function() { + var event = d3_eventDispatch(brush, "brushstart", "brush", "brushend"), + x = null, // x-scale, optional + y = null, // y-scale, optional + resizes = d3_svg_brushResizes[0], + extent = [[0, 0], [0, 0]], // [x0, y0], [x1, y1], in pixels (integers) + extentDomain; // the extent in data space, lazily created + + function brush(g) { + g.each(function() { + var g = d3.select(this), + bg = g.selectAll(".background").data([0]), + fg = g.selectAll(".extent").data([0]), + tz = g.selectAll(".resize").data(resizes, String), + e; + + // Prepare the brush container for events. + g + .style("pointer-events", "all") + .on("mousedown.brush", brushstart) + .on("touchstart.brush", brushstart); + + // An invisible, mouseable area for starting a new brush. + bg.enter().append("rect") + .attr("class", "background") + .style("visibility", "hidden") + .style("cursor", "crosshair"); + + // The visible brush extent; style this as you like! + fg.enter().append("rect") + .attr("class", "extent") + .style("cursor", "move"); + + // More invisible rects for resizing the extent. + tz.enter().append("g") + .attr("class", function(d) { return "resize " + d; }) + .style("cursor", function(d) { return d3_svg_brushCursor[d]; }) + .append("rect") + .attr("x", function(d) { return /[ew]$/.test(d) ? -3 : null; }) + .attr("y", function(d) { return /^[ns]/.test(d) ? -3 : null; }) + .attr("width", 6) + .attr("height", 6) + .style("visibility", "hidden"); + + // Show or hide the resizers. + tz.style("display", brush.empty() ? "none" : null); + + // Remove any superfluous resizers. + tz.exit().remove(); + + // Initialize the background to fill the defined range. + // If the range isn't defined, you can post-process. + if (x) { + e = d3_scaleRange(x); + bg.attr("x", e[0]).attr("width", e[1] - e[0]); + redrawX(g); + } + if (y) { + e = d3_scaleRange(y); + bg.attr("y", e[0]).attr("height", e[1] - e[0]); + redrawY(g); + } + redraw(g); + }); + } + + function redraw(g) { + g.selectAll(".resize").attr("transform", function(d) { + return "translate(" + extent[+/e$/.test(d)][0] + "," + extent[+/^s/.test(d)][1] + ")"; + }); + } + + function redrawX(g) { + g.select(".extent").attr("x", extent[0][0]); + g.selectAll(".extent,.n>rect,.s>rect").attr("width", extent[1][0] - extent[0][0]); + } + + function redrawY(g) { + g.select(".extent").attr("y", extent[0][1]); + g.selectAll(".extent,.e>rect,.w>rect").attr("height", extent[1][1] - extent[0][1]); + } + + function brushstart() { + var target = this, + eventTarget = d3.select(d3.event.target), + event_ = event.of(target, arguments), + g = d3.select(target), + resizing = eventTarget.datum(), + resizingX = !/^(n|s)$/.test(resizing) && x, + resizingY = !/^(e|w)$/.test(resizing) && y, + dragging = eventTarget.classed("extent"), + center, + origin = mouse(), + offset; + + var w = d3.select(window) + .on("mousemove.brush", brushmove) + .on("mouseup.brush", brushend) + .on("touchmove.brush", brushmove) + .on("touchend.brush", brushend) + .on("keydown.brush", keydown) + .on("keyup.brush", keyup); + + // If the extent was clicked on, drag rather than brush; + // store the point between the mouse and extent origin instead. + if (dragging) { + origin[0] = extent[0][0] - origin[0]; + origin[1] = extent[0][1] - origin[1]; + } + + // If a resizer was clicked on, record which side is to be resized. + // Also, set the origin to the opposite side. + else if (resizing) { + var ex = +/w$/.test(resizing), + ey = +/^n/.test(resizing); + offset = [extent[1 - ex][0] - origin[0], extent[1 - ey][1] - origin[1]]; + origin[0] = extent[ex][0]; + origin[1] = extent[ey][1]; + } + + // If the ALT key is down when starting a brush, the center is at the mouse. + else if (d3.event.altKey) center = origin.slice(); + + // Propagate the active cursor to the body for the drag duration. + g.style("pointer-events", "none").selectAll(".resize").style("display", null); + d3.select("body").style("cursor", eventTarget.style("cursor")); + + // Notify listeners. + event_({type: "brushstart"}); + brushmove(); + d3_eventCancel(); + + function mouse() { + var touches = d3.event.changedTouches; + return touches ? d3.touches(target, touches)[0] : d3.mouse(target); + } + + function keydown() { + if (d3.event.keyCode == 32) { + if (!dragging) { + center = null; + origin[0] -= extent[1][0]; + origin[1] -= extent[1][1]; + dragging = 2; + } + d3_eventCancel(); + } + } + + function keyup() { + if (d3.event.keyCode == 32 && dragging == 2) { + origin[0] += extent[1][0]; + origin[1] += extent[1][1]; + dragging = 0; + d3_eventCancel(); + } + } + + function brushmove() { + var point = mouse(), + moved = false; + + // Preserve the offset for thick resizers. + if (offset) { + point[0] += offset[0]; + point[1] += offset[1]; + } + + if (!dragging) { + + // If needed, determine the center from the current extent. + if (d3.event.altKey) { + if (!center) center = [(extent[0][0] + extent[1][0]) / 2, (extent[0][1] + extent[1][1]) / 2]; + + // Update the origin, for when the ALT key is released. + origin[0] = extent[+(point[0] < center[0])][0]; + origin[1] = extent[+(point[1] < center[1])][1]; + } + + // When the ALT key is released, we clear the center. + else center = null; + } + + // Update the brush extent for each dimension. + if (resizingX && move1(point, x, 0)) { + redrawX(g); + moved = true; + } + if (resizingY && move1(point, y, 1)) { + redrawY(g); + moved = true; + } + + // Final redraw and notify listeners. + if (moved) { + redraw(g); + event_({type: "brush", mode: dragging ? "move" : "resize"}); + } + } + + function move1(point, scale, i) { + var range = d3_scaleRange(scale), + r0 = range[0], + r1 = range[1], + position = origin[i], + size = extent[1][i] - extent[0][i], + min, + max; + + // When dragging, reduce the range by the extent size and position. + if (dragging) { + r0 -= position; + r1 -= size + position; + } + + // Clamp the point so that the extent fits within the range extent. + min = Math.max(r0, Math.min(r1, point[i])); + + // Compute the new extent bounds. + if (dragging) { + max = (min += position) + size; + } else { + + // If the ALT key is pressed, then preserve the center of the extent. + if (center) position = Math.max(r0, Math.min(r1, 2 * center[i] - min)); + + // Compute the min and max of the position and point. + if (position < min) { + max = min; + min = position; + } else { + max = position; + } + } + + // Update the stored bounds. + if (extent[0][i] !== min || extent[1][i] !== max) { + extentDomain = null; + extent[0][i] = min; + extent[1][i] = max; + return true; + } + } + + function brushend() { + brushmove(); + + // reset the cursor styles + g.style("pointer-events", "all").selectAll(".resize").style("display", brush.empty() ? "none" : null); + d3.select("body").style("cursor", null); + + w .on("mousemove.brush", null) + .on("mouseup.brush", null) + .on("touchmove.brush", null) + .on("touchend.brush", null) + .on("keydown.brush", null) + .on("keyup.brush", null); + + event_({type: "brushend"}); + d3_eventCancel(); + } + } + + brush.x = function(z) { + if (!arguments.length) return x; + x = z; + resizes = d3_svg_brushResizes[!x << 1 | !y]; // fore! + return brush; + }; + + brush.y = function(z) { + if (!arguments.length) return y; + y = z; + resizes = d3_svg_brushResizes[!x << 1 | !y]; // fore! + return brush; + }; + + brush.extent = function(z) { + var x0, x1, y0, y1, t; + + // Invert the pixel extent to data-space. + if (!arguments.length) { + z = extentDomain || extent; + if (x) { + x0 = z[0][0], x1 = z[1][0]; + if (!extentDomain) { + x0 = extent[0][0], x1 = extent[1][0]; + if (x.invert) x0 = x.invert(x0), x1 = x.invert(x1); + if (x1 < x0) t = x0, x0 = x1, x1 = t; + } + } + if (y) { + y0 = z[0][1], y1 = z[1][1]; + if (!extentDomain) { + y0 = extent[0][1], y1 = extent[1][1]; + if (y.invert) y0 = y.invert(y0), y1 = y.invert(y1); + if (y1 < y0) t = y0, y0 = y1, y1 = t; + } + } + return x && y ? [[x0, y0], [x1, y1]] : x ? [x0, x1] : y && [y0, y1]; + } + + // Scale the data-space extent to pixels. + extentDomain = [[0, 0], [0, 0]]; + if (x) { + x0 = z[0], x1 = z[1]; + if (y) x0 = x0[0], x1 = x1[0]; + extentDomain[0][0] = x0, extentDomain[1][0] = x1; + if (x.invert) x0 = x(x0), x1 = x(x1); + if (x1 < x0) t = x0, x0 = x1, x1 = t; + extent[0][0] = x0 | 0, extent[1][0] = x1 | 0; + } + if (y) { + y0 = z[0], y1 = z[1]; + if (x) y0 = y0[1], y1 = y1[1]; + extentDomain[0][1] = y0, extentDomain[1][1] = y1; + if (y.invert) y0 = y(y0), y1 = y(y1); + if (y1 < y0) t = y0, y0 = y1, y1 = t; + extent[0][1] = y0 | 0, extent[1][1] = y1 | 0; + } + + return brush; + }; + + brush.clear = function() { + extentDomain = null; + extent[0][0] = + extent[0][1] = + extent[1][0] = + extent[1][1] = 0; + return brush; + }; + + brush.empty = function() { + return (x && extent[0][0] === extent[1][0]) + || (y && extent[0][1] === extent[1][1]); + }; + + return d3.rebind(brush, event, "on"); +}; + +var d3_svg_brushCursor = { + n: "ns-resize", + e: "ew-resize", + s: "ns-resize", + w: "ew-resize", + nw: "nwse-resize", + ne: "nesw-resize", + se: "nwse-resize", + sw: "nesw-resize" +}; + +var d3_svg_brushResizes = [ + ["n", "e", "s", "w", "nw", "ne", "se", "sw"], + ["e", "w"], + ["n", "s"], + [] +]; +d3.behavior = {}; +// TODO Track touch points by identifier. + +d3.behavior.drag = function() { + var event = d3_eventDispatch(drag, "drag", "dragstart", "dragend"), + origin = null; + + function drag() { + this.on("mousedown.drag", mousedown) + .on("touchstart.drag", mousedown); + } + + function mousedown() { + var target = this, + event_ = event.of(target, arguments), + eventTarget = d3.event.target, + offset, + origin_ = point(), + moved = 0; + + var w = d3.select(window) + .on("mousemove.drag", dragmove) + .on("touchmove.drag", dragmove) + .on("mouseup.drag", dragend, true) + .on("touchend.drag", dragend, true); + + if (origin) { + offset = origin.apply(target, arguments); + offset = [offset.x - origin_[0], offset.y - origin_[1]]; + } else { + offset = [0, 0]; + } + + d3_eventCancel(); + event_({type: "dragstart"}); + + function point() { + var p = target.parentNode, + t = d3.event.changedTouches; + return t ? d3.touches(p, t)[0] : d3.mouse(p); + } + + function dragmove() { + if (!target.parentNode) return dragend(); // target removed from DOM + + var p = point(), + dx = p[0] - origin_[0], + dy = p[1] - origin_[1]; + + moved |= dx | dy; + origin_ = p; + d3_eventCancel(); + + event_({type: "drag", x: p[0] + offset[0], y: p[1] + offset[1], dx: dx, dy: dy}); + } + + function dragend() { + event_({type: "dragend"}); + + // if moved, prevent the mouseup (and possibly click) from propagating + if (moved) { + d3_eventCancel(); + if (d3.event.target === eventTarget) w.on("click.drag", click, true); + } + + w .on("mousemove.drag", null) + .on("touchmove.drag", null) + .on("mouseup.drag", null) + .on("touchend.drag", null); + } + + // prevent the subsequent click from propagating (e.g., for anchors) + function click() { + d3_eventCancel(); + w.on("click.drag", null); + } + } + + drag.origin = function(x) { + if (!arguments.length) return origin; + origin = x; + return drag; + }; + + return d3.rebind(drag, event, "on"); +}; +d3.behavior.zoom = function() { + var translate = [0, 0], + translate0, // translate when we started zooming (to avoid drift) + scale = 1, + scale0, // scale when we started touching + scaleExtent = d3_behavior_zoomInfinity, + event = d3_eventDispatch(zoom, "zoom"), + x0, + x1, + y0, + y1, + touchtime; // time of last touchstart (to detect double-tap) + + function zoom() { + this + .on("mousedown.zoom", mousedown) + .on("mousewheel.zoom", mousewheel) + .on("mousemove.zoom", mousemove) + .on("DOMMouseScroll.zoom", mousewheel) + .on("dblclick.zoom", dblclick) + .on("touchstart.zoom", touchstart) + .on("touchmove.zoom", touchmove) + .on("touchend.zoom", touchstart); + } + + zoom.translate = function(x) { + if (!arguments.length) return translate; + translate = x.map(Number); + return zoom; + }; + + zoom.scale = function(x) { + if (!arguments.length) return scale; + scale = +x; + return zoom; + }; + + zoom.scaleExtent = function(x) { + if (!arguments.length) return scaleExtent; + scaleExtent = x == null ? d3_behavior_zoomInfinity : x.map(Number); + return zoom; + }; + + zoom.x = function(z) { + if (!arguments.length) return x1; + x1 = z; + x0 = z.copy(); + return zoom; + }; + + zoom.y = function(z) { + if (!arguments.length) return y1; + y1 = z; + y0 = z.copy(); + return zoom; + }; + + function location(p) { + return [(p[0] - translate[0]) / scale, (p[1] - translate[1]) / scale]; + } + + function point(l) { + return [l[0] * scale + translate[0], l[1] * scale + translate[1]]; + } + + function scaleTo(s) { + scale = Math.max(scaleExtent[0], Math.min(scaleExtent[1], s)); + } + + function translateTo(p, l) { + l = point(l); + translate[0] += p[0] - l[0]; + translate[1] += p[1] - l[1]; + } + + function dispatch(event) { + if (x1) x1.domain(x0.range().map(function(x) { return (x - translate[0]) / scale; }).map(x0.invert)); + if (y1) y1.domain(y0.range().map(function(y) { return (y - translate[1]) / scale; }).map(y0.invert)); + d3.event.preventDefault(); + event({type: "zoom", scale: scale, translate: translate}); + } + + function mousedown() { + var target = this, + event_ = event.of(target, arguments), + eventTarget = d3.event.target, + moved = 0, + w = d3.select(window).on("mousemove.zoom", mousemove).on("mouseup.zoom", mouseup), + l = location(d3.mouse(target)); + + window.focus(); + d3_eventCancel(); + + function mousemove() { + moved = 1; + translateTo(d3.mouse(target), l); + dispatch(event_); + } + + function mouseup() { + if (moved) d3_eventCancel(); + w.on("mousemove.zoom", null).on("mouseup.zoom", null); + if (moved && d3.event.target === eventTarget) w.on("click.zoom", click, true); + } + + function click() { + d3_eventCancel(); + w.on("click.zoom", null); + } + } + + function mousewheel() { + if (!translate0) translate0 = location(d3.mouse(this)); + scaleTo(Math.pow(2, d3_behavior_zoomDelta() * .002) * scale); + translateTo(d3.mouse(this), translate0); + dispatch(event.of(this, arguments)); + } + + function mousemove() { + translate0 = null; + } + + function dblclick() { + var p = d3.mouse(this), l = location(p); + scaleTo(d3.event.shiftKey ? scale / 2 : scale * 2); + translateTo(p, l); + dispatch(event.of(this, arguments)); + } + + function touchstart() { + var touches = d3.touches(this), + now = Date.now(); + + scale0 = scale; + translate0 = {}; + touches.forEach(function(t) { translate0[t.identifier] = location(t); }); + d3_eventCancel(); + + if ((touches.length === 1) && (now - touchtime < 500)) { // dbltap + var p = touches[0], l = location(touches[0]); + scaleTo(scale * 2); + translateTo(p, l); + dispatch(event.of(this, arguments)); + } + touchtime = now; + } + + function touchmove() { + var touches = d3.touches(this), + p0 = touches[0], + l0 = translate0[p0.identifier]; + if (p1 = touches[1]) { + var p1, l1 = translate0[p1.identifier]; + p0 = [(p0[0] + p1[0]) / 2, (p0[1] + p1[1]) / 2]; + l0 = [(l0[0] + l1[0]) / 2, (l0[1] + l1[1]) / 2]; + scaleTo(d3.event.scale * scale0); + } + translateTo(p0, l0); + dispatch(event.of(this, arguments)); + } + + return d3.rebind(zoom, event, "on"); +}; + +var d3_behavior_zoomDiv, // for interpreting mousewheel events + d3_behavior_zoomInfinity = [0, Infinity]; // default scale extent + +function d3_behavior_zoomDelta() { + + // mousewheel events are totally broken! + // https://bugs.webkit.org/show_bug.cgi?id=40441 + // not only that, but Chrome and Safari differ in re. to acceleration! + if (!d3_behavior_zoomDiv) { + d3_behavior_zoomDiv = d3.select("body").append("div") + .style("visibility", "hidden") + .style("top", 0) + .style("height", 0) + .style("width", 0) + .style("overflow-y", "scroll") + .append("div") + .style("height", "2000px") + .node().parentNode; + } + + var e = d3.event, delta; + try { + d3_behavior_zoomDiv.scrollTop = 1000; + d3_behavior_zoomDiv.dispatchEvent(e); + delta = 1000 - d3_behavior_zoomDiv.scrollTop; + } catch (error) { + delta = e.wheelDelta || (-e.detail * 5); + } + + return delta; +} +d3.layout = {}; +// Implements hierarchical edge bundling using Holten's algorithm. For each +// input link, a path is computed that travels through the tree, up the parent +// hierarchy to the least common ancestor, and then back down to the destination +// node. Each path is simply an array of nodes. +d3.layout.bundle = function() { + return function(links) { + var paths = [], + i = -1, + n = links.length; + while (++i < n) paths.push(d3_layout_bundlePath(links[i])); + return paths; + }; +}; + +function d3_layout_bundlePath(link) { + var start = link.source, + end = link.target, + lca = d3_layout_bundleLeastCommonAncestor(start, end), + points = [start]; + while (start !== lca) { + start = start.parent; + points.push(start); + } + var k = points.length; + while (end !== lca) { + points.splice(k, 0, end); + end = end.parent; + } + return points; +} + +function d3_layout_bundleAncestors(node) { + var ancestors = [], + parent = node.parent; + while (parent != null) { + ancestors.push(node); + node = parent; + parent = parent.parent; + } + ancestors.push(node); + return ancestors; +} + +function d3_layout_bundleLeastCommonAncestor(a, b) { + if (a === b) return a; + var aNodes = d3_layout_bundleAncestors(a), + bNodes = d3_layout_bundleAncestors(b), + aNode = aNodes.pop(), + bNode = bNodes.pop(), + sharedNode = null; + while (aNode === bNode) { + sharedNode = aNode; + aNode = aNodes.pop(); + bNode = bNodes.pop(); + } + return sharedNode; +} +d3.layout.chord = function() { + var chord = {}, + chords, + groups, + matrix, + n, + padding = 0, + sortGroups, + sortSubgroups, + sortChords; + + function relayout() { + var subgroups = {}, + groupSums = [], + groupIndex = d3.range(n), + subgroupIndex = [], + k, + x, + x0, + i, + j; + + chords = []; + groups = []; + + // Compute the sum. + k = 0, i = -1; while (++i < n) { + x = 0, j = -1; while (++j < n) { + x += matrix[i][j]; + } + groupSums.push(x); + subgroupIndex.push(d3.range(n)); + k += x; + } + + // Sort groups… + if (sortGroups) { + groupIndex.sort(function(a, b) { + return sortGroups(groupSums[a], groupSums[b]); + }); + } + + // Sort subgroups… + if (sortSubgroups) { + subgroupIndex.forEach(function(d, i) { + d.sort(function(a, b) { + return sortSubgroups(matrix[i][a], matrix[i][b]); + }); + }); + } + + // Convert the sum to scaling factor for [0, 2pi]. + // TODO Allow start and end angle to be specified. + // TODO Allow padding to be specified as percentage? + k = (2 * Math.PI - padding * n) / k; + + // Compute the start and end angle for each group and subgroup. + // Note: Opera has a bug reordering object literal properties! + x = 0, i = -1; while (++i < n) { + x0 = x, j = -1; while (++j < n) { + var di = groupIndex[i], + dj = subgroupIndex[di][j], + v = matrix[di][dj], + a0 = x, + a1 = x += v * k; + subgroups[di + "-" + dj] = { + index: di, + subindex: dj, + startAngle: a0, + endAngle: a1, + value: v + }; + } + groups[di] = { + index: di, + startAngle: x0, + endAngle: x, + value: (x - x0) / k + }; + x += padding; + } + + // Generate chords for each (non-empty) subgroup-subgroup link. + i = -1; while (++i < n) { + j = i - 1; while (++j < n) { + var source = subgroups[i + "-" + j], + target = subgroups[j + "-" + i]; + if (source.value || target.value) { + chords.push(source.value < target.value + ? {source: target, target: source} + : {source: source, target: target}); + } + } + } + + if (sortChords) resort(); + } + + function resort() { + chords.sort(function(a, b) { + return sortChords( + (a.source.value + a.target.value) / 2, + (b.source.value + b.target.value) / 2); + }); + } + + chord.matrix = function(x) { + if (!arguments.length) return matrix; + n = (matrix = x) && matrix.length; + chords = groups = null; + return chord; + }; + + chord.padding = function(x) { + if (!arguments.length) return padding; + padding = x; + chords = groups = null; + return chord; + }; + + chord.sortGroups = function(x) { + if (!arguments.length) return sortGroups; + sortGroups = x; + chords = groups = null; + return chord; + }; + + chord.sortSubgroups = function(x) { + if (!arguments.length) return sortSubgroups; + sortSubgroups = x; + chords = null; + return chord; + }; + + chord.sortChords = function(x) { + if (!arguments.length) return sortChords; + sortChords = x; + if (chords) resort(); + return chord; + }; + + chord.chords = function() { + if (!chords) relayout(); + return chords; + }; + + chord.groups = function() { + if (!groups) relayout(); + return groups; + }; + + return chord; +}; +// A rudimentary force layout using Gauss-Seidel. +d3.layout.force = function() { + var force = {}, + event = d3.dispatch("start", "tick", "end"), + size = [1, 1], + drag, + alpha, + friction = .9, + linkDistance = d3_layout_forceLinkDistance, + linkStrength = d3_layout_forceLinkStrength, + charge = -30, + gravity = .1, + theta = .8, + interval, + nodes = [], + links = [], + distances, + strengths, + charges; + + function repulse(node) { + return function(quad, x1, y1, x2, y2) { + if (quad.point !== node) { + var dx = quad.cx - node.x, + dy = quad.cy - node.y, + dn = 1 / Math.sqrt(dx * dx + dy * dy); + + /* Barnes-Hut criterion. */ + if ((x2 - x1) * dn < theta) { + var k = quad.charge * dn * dn; + node.px -= dx * k; + node.py -= dy * k; + return true; + } + + if (quad.point && isFinite(dn)) { + var k = quad.pointCharge * dn * dn; + node.px -= dx * k; + node.py -= dy * k; + } + } + return !quad.charge; + }; + } + + force.tick = function() { + // simulated annealing, basically + if ((alpha *= .99) < .005) { + event.end({type: "end", alpha: alpha = 0}); + return true; + } + + var n = nodes.length, + m = links.length, + q, + i, // current index + o, // current object + s, // current source + t, // current target + l, // current distance + k, // current force + x, // x-distance + y; // y-distance + + // gauss-seidel relaxation for links + for (i = 0; i < m; ++i) { + o = links[i]; + s = o.source; + t = o.target; + x = t.x - s.x; + y = t.y - s.y; + if (l = (x * x + y * y)) { + l = alpha * strengths[i] * ((l = Math.sqrt(l)) - distances[i]) / l; + x *= l; + y *= l; + t.x -= x * (k = s.weight / (t.weight + s.weight)); + t.y -= y * k; + s.x += x * (k = 1 - k); + s.y += y * k; + } + } + + // apply gravity forces + if (k = alpha * gravity) { + x = size[0] / 2; + y = size[1] / 2; + i = -1; if (k) while (++i < n) { + o = nodes[i]; + o.x += (x - o.x) * k; + o.y += (y - o.y) * k; + } + } + + // compute quadtree center of mass and apply charge forces + if (charge) { + d3_layout_forceAccumulate(q = d3.geom.quadtree(nodes), alpha, charges); + i = -1; while (++i < n) { + if (!(o = nodes[i]).fixed) { + q.visit(repulse(o)); + } + } + } + + // position verlet integration + i = -1; while (++i < n) { + o = nodes[i]; + if (o.fixed) { + o.x = o.px; + o.y = o.py; + } else { + o.x -= (o.px - (o.px = o.x)) * friction; + o.y -= (o.py - (o.py = o.y)) * friction; + } + } + + event.tick({type: "tick", alpha: alpha}); + }; + + force.nodes = function(x) { + if (!arguments.length) return nodes; + nodes = x; + return force; + }; + + force.links = function(x) { + if (!arguments.length) return links; + links = x; + return force; + }; + + force.size = function(x) { + if (!arguments.length) return size; + size = x; + return force; + }; + + force.linkDistance = function(x) { + if (!arguments.length) return linkDistance; + linkDistance = d3_functor(x); + return force; + }; + + // For backwards-compatibility. + force.distance = force.linkDistance; + + force.linkStrength = function(x) { + if (!arguments.length) return linkStrength; + linkStrength = d3_functor(x); + return force; + }; + + force.friction = function(x) { + if (!arguments.length) return friction; + friction = x; + return force; + }; + + force.charge = function(x) { + if (!arguments.length) return charge; + charge = typeof x === "function" ? x : +x; + return force; + }; + + force.gravity = function(x) { + if (!arguments.length) return gravity; + gravity = x; + return force; + }; + + force.theta = function(x) { + if (!arguments.length) return theta; + theta = x; + return force; + }; + + force.alpha = function(x) { + if (!arguments.length) return alpha; + + if (alpha) { // if we're already running + if (x > 0) alpha = x; // we might keep it hot + else alpha = 0; // or, next tick will dispatch "end" + } else if (x > 0) { // otherwise, fire it up! + event.start({type: "start", alpha: alpha = x}); + d3.timer(force.tick); + } + + return force; + }; + + force.start = function() { + var i, + j, + n = nodes.length, + m = links.length, + w = size[0], + h = size[1], + neighbors, + o; + + for (i = 0; i < n; ++i) { + (o = nodes[i]).index = i; + o.weight = 0; + } + + distances = []; + strengths = []; + for (i = 0; i < m; ++i) { + o = links[i]; + if (typeof o.source == "number") o.source = nodes[o.source]; + if (typeof o.target == "number") o.target = nodes[o.target]; + distances[i] = linkDistance.call(this, o, i); + strengths[i] = linkStrength.call(this, o, i); + ++o.source.weight; + ++o.target.weight; + } + + for (i = 0; i < n; ++i) { + o = nodes[i]; + if (isNaN(o.x)) o.x = position("x", w); + if (isNaN(o.y)) o.y = position("y", h); + if (isNaN(o.px)) o.px = o.x; + if (isNaN(o.py)) o.py = o.y; + } + + charges = []; + if (typeof charge === "function") { + for (i = 0; i < n; ++i) { + charges[i] = +charge.call(this, nodes[i], i); + } + } else { + for (i = 0; i < n; ++i) { + charges[i] = charge; + } + } + + // initialize node position based on first neighbor + function position(dimension, size) { + var neighbors = neighbor(i), + j = -1, + m = neighbors.length, + x; + while (++j < m) if (!isNaN(x = neighbors[j][dimension])) return x; + return Math.random() * size; + } + + // initialize neighbors lazily + function neighbor() { + if (!neighbors) { + neighbors = []; + for (j = 0; j < n; ++j) { + neighbors[j] = []; + } + for (j = 0; j < m; ++j) { + var o = links[j]; + neighbors[o.source.index].push(o.target); + neighbors[o.target.index].push(o.source); + } + } + return neighbors[i]; + } + + return force.resume(); + }; + + force.resume = function() { + return force.alpha(.1); + }; + + force.stop = function() { + return force.alpha(0); + }; + + // use `node.call(force.drag)` to make nodes draggable + force.drag = function() { + if (!drag) drag = d3.behavior.drag() + .origin(d3_identity) + .on("dragstart", dragstart) + .on("drag", d3_layout_forceDrag) + .on("dragend", d3_layout_forceDragEnd); + + this.on("mouseover.force", d3_layout_forceDragOver) + .on("mouseout.force", d3_layout_forceDragOut) + .call(drag); + }; + + function dragstart(d) { + d3_layout_forceDragOver(d3_layout_forceDragNode = d); + d3_layout_forceDragForce = force; + } + + return d3.rebind(force, event, "on"); +}; + +var d3_layout_forceDragForce, + d3_layout_forceDragNode; + +function d3_layout_forceDragOver(d) { + d.fixed |= 2; +} + +function d3_layout_forceDragOut(d) { + if (d !== d3_layout_forceDragNode) d.fixed &= 1; +} + +function d3_layout_forceDragEnd() { + d3_layout_forceDragNode.fixed &= 1; + d3_layout_forceDragForce = d3_layout_forceDragNode = null; +} + +function d3_layout_forceDrag() { + d3_layout_forceDragNode.px = d3.event.x; + d3_layout_forceDragNode.py = d3.event.y; + d3_layout_forceDragForce.resume(); // restart annealing +} + +function d3_layout_forceAccumulate(quad, alpha, charges) { + var cx = 0, + cy = 0; + quad.charge = 0; + if (!quad.leaf) { + var nodes = quad.nodes, + n = nodes.length, + i = -1, + c; + while (++i < n) { + c = nodes[i]; + if (c == null) continue; + d3_layout_forceAccumulate(c, alpha, charges); + quad.charge += c.charge; + cx += c.charge * c.cx; + cy += c.charge * c.cy; + } + } + if (quad.point) { + // jitter internal nodes that are coincident + if (!quad.leaf) { + quad.point.x += Math.random() - .5; + quad.point.y += Math.random() - .5; + } + var k = alpha * charges[quad.point.index]; + quad.charge += quad.pointCharge = k; + cx += k * quad.point.x; + cy += k * quad.point.y; + } + quad.cx = cx / quad.charge; + quad.cy = cy / quad.charge; +} + +function d3_layout_forceLinkDistance(link) { + return 20; +} + +function d3_layout_forceLinkStrength(link) { + return 1; +} +d3.layout.partition = function() { + var hierarchy = d3.layout.hierarchy(), + size = [1, 1]; // width, height + + function position(node, x, dx, dy) { + var children = node.children; + node.x = x; + node.y = node.depth * dy; + node.dx = dx; + node.dy = dy; + if (children && (n = children.length)) { + var i = -1, + n, + c, + d; + dx = node.value ? dx / node.value : 0; + while (++i < n) { + position(c = children[i], x, d = c.value * dx, dy); + x += d; + } + } + } + + function depth(node) { + var children = node.children, + d = 0; + if (children && (n = children.length)) { + var i = -1, + n; + while (++i < n) d = Math.max(d, depth(children[i])); + } + return 1 + d; + } + + function partition(d, i) { + var nodes = hierarchy.call(this, d, i); + position(nodes[0], 0, size[0], size[1] / depth(nodes[0])); + return nodes; + } + + partition.size = function(x) { + if (!arguments.length) return size; + size = x; + return partition; + }; + + return d3_layout_hierarchyRebind(partition, hierarchy); +}; +d3.layout.pie = function() { + var value = Number, + sort = d3_layout_pieSortByValue, + startAngle = 0, + endAngle = 2 * Math.PI; + + function pie(data, i) { + + // Compute the numeric values for each data element. + var values = data.map(function(d, i) { return +value.call(pie, d, i); }); + + // Compute the start angle. + var a = +(typeof startAngle === "function" + ? startAngle.apply(this, arguments) + : startAngle); + + // Compute the angular scale factor: from value to radians. + var k = ((typeof endAngle === "function" + ? endAngle.apply(this, arguments) + : endAngle) - startAngle) + / d3.sum(values); + + // Optionally sort the data. + var index = d3.range(data.length); + if (sort != null) index.sort(sort === d3_layout_pieSortByValue + ? function(i, j) { return values[j] - values[i]; } + : function(i, j) { return sort(data[i], data[j]); }); + + // Compute the arcs! + // They are stored in the original data's order. + var arcs = []; + index.forEach(function(i) { + var d; + arcs[i] = { + data: data[i], + value: d = values[i], + startAngle: a, + endAngle: a += d * k + }; + }); + return arcs; + } + + /** + * Specifies the value function *x*, which returns a nonnegative numeric value + * for each datum. The default value function is `Number`. The value function + * is passed two arguments: the current datum and the current index. + */ + pie.value = function(x) { + if (!arguments.length) return value; + value = x; + return pie; + }; + + /** + * Specifies a sort comparison operator *x*. The comparator is passed two data + * elements from the data array, a and b; it returns a negative value if a is + * less than b, a positive value if a is greater than b, and zero if a equals + * b. + */ + pie.sort = function(x) { + if (!arguments.length) return sort; + sort = x; + return pie; + }; + + /** + * Specifies the overall start angle of the pie chart. Defaults to 0. The + * start angle can be specified either as a constant or as a function; in the + * case of a function, it is evaluated once per array (as opposed to per + * element). + */ + pie.startAngle = function(x) { + if (!arguments.length) return startAngle; + startAngle = x; + return pie; + }; + + /** + * Specifies the overall end angle of the pie chart. Defaults to 2π. The + * end angle can be specified either as a constant or as a function; in the + * case of a function, it is evaluated once per array (as opposed to per + * element). + */ + pie.endAngle = function(x) { + if (!arguments.length) return endAngle; + endAngle = x; + return pie; + }; + + return pie; +}; + +var d3_layout_pieSortByValue = {}; +// data is two-dimensional array of x,y; we populate y0 +d3.layout.stack = function() { + var values = d3_identity, + order = d3_layout_stackOrderDefault, + offset = d3_layout_stackOffsetZero, + out = d3_layout_stackOut, + x = d3_layout_stackX, + y = d3_layout_stackY; + + function stack(data, index) { + + // Convert series to canonical two-dimensional representation. + var series = data.map(function(d, i) { + return values.call(stack, d, i); + }); + + // Convert each series to canonical [[x,y]] representation. + var points = series.map(function(d, i) { + return d.map(function(v, i) { + return [x.call(stack, v, i), y.call(stack, v, i)]; + }); + }); + + // Compute the order of series, and permute them. + var orders = order.call(stack, points, index); + series = d3.permute(series, orders); + points = d3.permute(points, orders); + + // Compute the baseline… + var offsets = offset.call(stack, points, index); + + // And propagate it to other series. + var n = series.length, + m = series[0].length, + i, + j, + o; + for (j = 0; j < m; ++j) { + out.call(stack, series[0][j], o = offsets[j], points[0][j][1]); + for (i = 1; i < n; ++i) { + out.call(stack, series[i][j], o += points[i - 1][j][1], points[i][j][1]); + } + } + + return data; + } + + stack.values = function(x) { + if (!arguments.length) return values; + values = x; + return stack; + }; + + stack.order = function(x) { + if (!arguments.length) return order; + order = typeof x === "function" ? x : d3_layout_stackOrders.get(x) || d3_layout_stackOrderDefault; + return stack; + }; + + stack.offset = function(x) { + if (!arguments.length) return offset; + offset = typeof x === "function" ? x : d3_layout_stackOffsets.get(x) || d3_layout_stackOffsetZero; + return stack; + }; + + stack.x = function(z) { + if (!arguments.length) return x; + x = z; + return stack; + }; + + stack.y = function(z) { + if (!arguments.length) return y; + y = z; + return stack; + }; + + stack.out = function(z) { + if (!arguments.length) return out; + out = z; + return stack; + }; + + return stack; +} + +function d3_layout_stackX(d) { + return d.x; +} + +function d3_layout_stackY(d) { + return d.y; +} + +function d3_layout_stackOut(d, y0, y) { + d.y0 = y0; + d.y = y; +} + +var d3_layout_stackOrders = d3.map({ + + "inside-out": function(data) { + var n = data.length, + i, + j, + max = data.map(d3_layout_stackMaxIndex), + sums = data.map(d3_layout_stackReduceSum), + index = d3.range(n).sort(function(a, b) { return max[a] - max[b]; }), + top = 0, + bottom = 0, + tops = [], + bottoms = []; + for (i = 0; i < n; ++i) { + j = index[i]; + if (top < bottom) { + top += sums[j]; + tops.push(j); + } else { + bottom += sums[j]; + bottoms.push(j); + } + } + return bottoms.reverse().concat(tops); + }, + + "reverse": function(data) { + return d3.range(data.length).reverse(); + }, + + "default": d3_layout_stackOrderDefault + +}); + +var d3_layout_stackOffsets = d3.map({ + + "silhouette": function(data) { + var n = data.length, + m = data[0].length, + sums = [], + max = 0, + i, + j, + o, + y0 = []; + for (j = 0; j < m; ++j) { + for (i = 0, o = 0; i < n; i++) o += data[i][j][1]; + if (o > max) max = o; + sums.push(o); + } + for (j = 0; j < m; ++j) { + y0[j] = (max - sums[j]) / 2; + } + return y0; + }, + + "wiggle": function(data) { + var n = data.length, + x = data[0], + m = x.length, + max = 0, + i, + j, + k, + s1, + s2, + s3, + dx, + o, + o0, + y0 = []; + y0[0] = o = o0 = 0; + for (j = 1; j < m; ++j) { + for (i = 0, s1 = 0; i < n; ++i) s1 += data[i][j][1]; + for (i = 0, s2 = 0, dx = x[j][0] - x[j - 1][0]; i < n; ++i) { + for (k = 0, s3 = (data[i][j][1] - data[i][j - 1][1]) / (2 * dx); k < i; ++k) { + s3 += (data[k][j][1] - data[k][j - 1][1]) / dx; + } + s2 += s3 * data[i][j][1]; + } + y0[j] = o -= s1 ? s2 / s1 * dx : 0; + if (o < o0) o0 = o; + } + for (j = 0; j < m; ++j) y0[j] -= o0; + return y0; + }, + + "expand": function(data) { + var n = data.length, + m = data[0].length, + k = 1 / n, + i, + j, + o, + y0 = []; + for (j = 0; j < m; ++j) { + for (i = 0, o = 0; i < n; i++) o += data[i][j][1]; + if (o) for (i = 0; i < n; i++) data[i][j][1] /= o; + else for (i = 0; i < n; i++) data[i][j][1] = k; + } + for (j = 0; j < m; ++j) y0[j] = 0; + return y0; + }, + + "zero": d3_layout_stackOffsetZero + +}); + +function d3_layout_stackOrderDefault(data) { + return d3.range(data.length); +} + +function d3_layout_stackOffsetZero(data) { + var j = -1, + m = data[0].length, + y0 = []; + while (++j < m) y0[j] = 0; + return y0; +} + +function d3_layout_stackMaxIndex(array) { + var i = 1, + j = 0, + v = array[0][1], + k, + n = array.length; + for (; i < n; ++i) { + if ((k = array[i][1]) > v) { + j = i; + v = k; + } + } + return j; +} + +function d3_layout_stackReduceSum(d) { + return d.reduce(d3_layout_stackSum, 0); +} + +function d3_layout_stackSum(p, d) { + return p + d[1]; +} +d3.layout.histogram = function() { + var frequency = true, + valuer = Number, + ranger = d3_layout_histogramRange, + binner = d3_layout_histogramBinSturges; + + function histogram(data, i) { + var bins = [], + values = data.map(valuer, this), + range = ranger.call(this, values, i), + thresholds = binner.call(this, range, values, i), + bin, + i = -1, + n = values.length, + m = thresholds.length - 1, + k = frequency ? 1 : 1 / n, + x; + + // Initialize the bins. + while (++i < m) { + bin = bins[i] = []; + bin.dx = thresholds[i + 1] - (bin.x = thresholds[i]); + bin.y = 0; + } + + // Fill the bins, ignoring values outside the range. + if (m > 0) { + i = -1; while(++i < n) { + x = values[i]; + if ((x >= range[0]) && (x <= range[1])) { + bin = bins[d3.bisect(thresholds, x, 1, m) - 1]; + bin.y += k; + bin.push(data[i]); + } + } + } + + return bins; + } + + // Specifies how to extract a value from the associated data. The default + // value function is `Number`, which is equivalent to the identity function. + histogram.value = function(x) { + if (!arguments.length) return valuer; + valuer = x; + return histogram; + }; + + // Specifies the range of the histogram. Values outside the specified range + // will be ignored. The argument `x` may be specified either as a two-element + // array representing the minimum and maximum value of the range, or as a + // function that returns the range given the array of values and the current + // index `i`. The default range is the extent (minimum and maximum) of the + // values. + histogram.range = function(x) { + if (!arguments.length) return ranger; + ranger = d3_functor(x); + return histogram; + }; + + // Specifies how to bin values in the histogram. The argument `x` may be + // specified as a number, in which case the range of values will be split + // uniformly into the given number of bins. Or, `x` may be an array of + // threshold values, defining the bins; the specified array must contain the + // rightmost (upper) value, thus specifying n + 1 values for n bins. Or, `x` + // may be a function which is evaluated, being passed the range, the array of + // values, and the current index `i`, returning an array of thresholds. The + // default bin function will divide the values into uniform bins using + // Sturges' formula. + histogram.bins = function(x) { + if (!arguments.length) return binner; + binner = typeof x === "number" + ? function(range) { return d3_layout_histogramBinFixed(range, x); } + : d3_functor(x); + return histogram; + }; + + // Specifies whether the histogram's `y` value is a count (frequency) or a + // probability (density). The default value is true. + histogram.frequency = function(x) { + if (!arguments.length) return frequency; + frequency = !!x; + return histogram; + }; + + return histogram; +}; + +function d3_layout_histogramBinSturges(range, values) { + return d3_layout_histogramBinFixed(range, Math.ceil(Math.log(values.length) / Math.LN2 + 1)); +} + +function d3_layout_histogramBinFixed(range, n) { + var x = -1, + b = +range[0], + m = (range[1] - b) / n, + f = []; + while (++x <= n) f[x] = m * x + b; + return f; +} + +function d3_layout_histogramRange(values) { + return [d3.min(values), d3.max(values)]; +} +d3.layout.hierarchy = function() { + var sort = d3_layout_hierarchySort, + children = d3_layout_hierarchyChildren, + value = d3_layout_hierarchyValue; + + // Recursively compute the node depth and value. + // Also converts the data representation into a standard hierarchy structure. + function recurse(data, depth, nodes) { + var childs = children.call(hierarchy, data, depth), + node = d3_layout_hierarchyInline ? data : {data: data}; + node.depth = depth; + nodes.push(node); + if (childs && (n = childs.length)) { + var i = -1, + n, + c = node.children = [], + v = 0, + j = depth + 1, + d; + while (++i < n) { + d = recurse(childs[i], j, nodes); + d.parent = node; + c.push(d); + v += d.value; + } + if (sort) c.sort(sort); + if (value) node.value = v; + } else if (value) { + node.value = +value.call(hierarchy, data, depth) || 0; + } + return node; + } + + // Recursively re-evaluates the node value. + function revalue(node, depth) { + var children = node.children, + v = 0; + if (children && (n = children.length)) { + var i = -1, + n, + j = depth + 1; + while (++i < n) v += revalue(children[i], j); + } else if (value) { + v = +value.call(hierarchy, d3_layout_hierarchyInline ? node : node.data, depth) || 0; + } + if (value) node.value = v; + return v; + } + + function hierarchy(d) { + var nodes = []; + recurse(d, 0, nodes); + return nodes; + } + + hierarchy.sort = function(x) { + if (!arguments.length) return sort; + sort = x; + return hierarchy; + }; + + hierarchy.children = function(x) { + if (!arguments.length) return children; + children = x; + return hierarchy; + }; + + hierarchy.value = function(x) { + if (!arguments.length) return value; + value = x; + return hierarchy; + }; + + // Re-evaluates the `value` property for the specified hierarchy. + hierarchy.revalue = function(root) { + revalue(root, 0); + return root; + }; + + return hierarchy; +}; + +// A method assignment helper for hierarchy subclasses. +function d3_layout_hierarchyRebind(object, hierarchy) { + d3.rebind(object, hierarchy, "sort", "children", "value"); + + // Add an alias for links, for convenience. + object.links = d3_layout_hierarchyLinks; + + // If the new API is used, enabling inlining. + object.nodes = function(d) { + d3_layout_hierarchyInline = true; + return (object.nodes = object)(d); + }; + + return object; +} + +function d3_layout_hierarchyChildren(d) { + return d.children; +} + +function d3_layout_hierarchyValue(d) { + return d.value; +} + +function d3_layout_hierarchySort(a, b) { + return b.value - a.value; +} + +// Returns an array source+target objects for the specified nodes. +function d3_layout_hierarchyLinks(nodes) { + return d3.merge(nodes.map(function(parent) { + return (parent.children || []).map(function(child) { + return {source: parent, target: child}; + }); + })); +} + +// For backwards-compatibility, don't enable inlining by default. +var d3_layout_hierarchyInline = false; +d3.layout.pack = function() { + var hierarchy = d3.layout.hierarchy().sort(d3_layout_packSort), + size = [1, 1]; + + function pack(d, i) { + var nodes = hierarchy.call(this, d, i), + root = nodes[0]; + + // Recursively compute the layout. + root.x = 0; + root.y = 0; + d3_layout_packTree(root); + + // Scale the layout to fit the requested size. + var w = size[0], + h = size[1], + k = 1 / Math.max(2 * root.r / w, 2 * root.r / h); + d3_layout_packTransform(root, w / 2, h / 2, k); + + return nodes; + } + + pack.size = function(x) { + if (!arguments.length) return size; + size = x; + return pack; + }; + + return d3_layout_hierarchyRebind(pack, hierarchy); +}; + +function d3_layout_packSort(a, b) { + return a.value - b.value; +} + +function d3_layout_packInsert(a, b) { + var c = a._pack_next; + a._pack_next = b; + b._pack_prev = a; + b._pack_next = c; + c._pack_prev = b; +} + +function d3_layout_packSplice(a, b) { + a._pack_next = b; + b._pack_prev = a; +} + +function d3_layout_packIntersects(a, b) { + var dx = b.x - a.x, + dy = b.y - a.y, + dr = a.r + b.r; + return dr * dr - dx * dx - dy * dy > .001; // within epsilon +} + +function d3_layout_packCircle(nodes) { + var xMin = Infinity, + xMax = -Infinity, + yMin = Infinity, + yMax = -Infinity, + n = nodes.length, + a, b, c, j, k; + + function bound(node) { + xMin = Math.min(node.x - node.r, xMin); + xMax = Math.max(node.x + node.r, xMax); + yMin = Math.min(node.y - node.r, yMin); + yMax = Math.max(node.y + node.r, yMax); + } + + // Create node links. + nodes.forEach(d3_layout_packLink); + + // Create first node. + a = nodes[0]; + a.x = -a.r; + a.y = 0; + bound(a); + + // Create second node. + if (n > 1) { + b = nodes[1]; + b.x = b.r; + b.y = 0; + bound(b); + + // Create third node and build chain. + if (n > 2) { + c = nodes[2]; + d3_layout_packPlace(a, b, c); + bound(c); + d3_layout_packInsert(a, c); + a._pack_prev = c; + d3_layout_packInsert(c, b); + b = a._pack_next; + + // Now iterate through the rest. + for (var i = 3; i < n; i++) { + d3_layout_packPlace(a, b, c = nodes[i]); + + // Search for the closest intersection. + var isect = 0, s1 = 1, s2 = 1; + for (j = b._pack_next; j !== b; j = j._pack_next, s1++) { + if (d3_layout_packIntersects(j, c)) { + isect = 1; + break; + } + } + if (isect == 1) { + for (k = a._pack_prev; k !== j._pack_prev; k = k._pack_prev, s2++) { + if (d3_layout_packIntersects(k, c)) { + break; + } + } + } + + // Update node chain. + if (isect) { + if (s1 < s2 || (s1 == s2 && b.r < a.r)) d3_layout_packSplice(a, b = j); + else d3_layout_packSplice(a = k, b); + i--; + } else { + d3_layout_packInsert(a, c); + b = c; + bound(c); + } + } + } + } + + // Re-center the circles and return the encompassing radius. + var cx = (xMin + xMax) / 2, + cy = (yMin + yMax) / 2, + cr = 0; + for (var i = 0; i < n; i++) { + var node = nodes[i]; + node.x -= cx; + node.y -= cy; + cr = Math.max(cr, node.r + Math.sqrt(node.x * node.x + node.y * node.y)); + } + + // Remove node links. + nodes.forEach(d3_layout_packUnlink); + + return cr; +} + +function d3_layout_packLink(node) { + node._pack_next = node._pack_prev = node; +} + +function d3_layout_packUnlink(node) { + delete node._pack_next; + delete node._pack_prev; +} + +function d3_layout_packTree(node) { + var children = node.children; + if (children && children.length) { + children.forEach(d3_layout_packTree); + node.r = d3_layout_packCircle(children); + } else { + node.r = Math.sqrt(node.value); + } +} + +function d3_layout_packTransform(node, x, y, k) { + var children = node.children; + node.x = (x += k * node.x); + node.y = (y += k * node.y); + node.r *= k; + if (children) { + var i = -1, n = children.length; + while (++i < n) d3_layout_packTransform(children[i], x, y, k); + } +} + +function d3_layout_packPlace(a, b, c) { + var db = a.r + c.r, + dx = b.x - a.x, + dy = b.y - a.y; + if (db && (dx || dy)) { + var da = b.r + c.r, + dc = Math.sqrt(dx * dx + dy * dy), + cos = Math.max(-1, Math.min(1, (db * db + dc * dc - da * da) / (2 * db * dc))), + theta = Math.acos(cos), + x = cos * (db /= dc), + y = Math.sin(theta) * db; + c.x = a.x + x * dx + y * dy; + c.y = a.y + x * dy - y * dx; + } else { + c.x = a.x + db; + c.y = a.y; + } +} +// Implements a hierarchical layout using the cluster (or dendrogram) +// algorithm. +d3.layout.cluster = function() { + var hierarchy = d3.layout.hierarchy().sort(null).value(null), + separation = d3_layout_treeSeparation, + size = [1, 1]; // width, height + + function cluster(d, i) { + var nodes = hierarchy.call(this, d, i), + root = nodes[0], + previousNode, + x = 0, + kx, + ky; + + // First walk, computing the initial x & y values. + d3_layout_treeVisitAfter(root, function(node) { + var children = node.children; + if (children && children.length) { + node.x = d3_layout_clusterX(children); + node.y = d3_layout_clusterY(children); + } else { + node.x = previousNode ? x += separation(node, previousNode) : 0; + node.y = 0; + previousNode = node; + } + }); + + // Compute the left-most, right-most, and depth-most nodes for extents. + var left = d3_layout_clusterLeft(root), + right = d3_layout_clusterRight(root), + x0 = left.x - separation(left, right) / 2, + x1 = right.x + separation(right, left) / 2; + + // Second walk, normalizing x & y to the desired size. + d3_layout_treeVisitAfter(root, function(node) { + node.x = (node.x - x0) / (x1 - x0) * size[0]; + node.y = (1 - (root.y ? node.y / root.y : 1)) * size[1]; + }); + + return nodes; + } + + cluster.separation = function(x) { + if (!arguments.length) return separation; + separation = x; + return cluster; + }; + + cluster.size = function(x) { + if (!arguments.length) return size; + size = x; + return cluster; + }; + + return d3_layout_hierarchyRebind(cluster, hierarchy); +}; + +function d3_layout_clusterY(children) { + return 1 + d3.max(children, function(child) { + return child.y; + }); +} + +function d3_layout_clusterX(children) { + return children.reduce(function(x, child) { + return x + child.x; + }, 0) / children.length; +} + +function d3_layout_clusterLeft(node) { + var children = node.children; + return children && children.length ? d3_layout_clusterLeft(children[0]) : node; +} + +function d3_layout_clusterRight(node) { + var children = node.children, n; + return children && (n = children.length) ? d3_layout_clusterRight(children[n - 1]) : node; +} +// Node-link tree diagram using the Reingold-Tilford "tidy" algorithm +d3.layout.tree = function() { + var hierarchy = d3.layout.hierarchy().sort(null).value(null), + separation = d3_layout_treeSeparation, + size = [1, 1]; // width, height + + function tree(d, i) { + var nodes = hierarchy.call(this, d, i), + root = nodes[0]; + + function firstWalk(node, previousSibling) { + var children = node.children, + layout = node._tree; + if (children && (n = children.length)) { + var n, + firstChild = children[0], + previousChild, + ancestor = firstChild, + child, + i = -1; + while (++i < n) { + child = children[i]; + firstWalk(child, previousChild); + ancestor = apportion(child, previousChild, ancestor); + previousChild = child; + } + d3_layout_treeShift(node); + var midpoint = .5 * (firstChild._tree.prelim + child._tree.prelim); + if (previousSibling) { + layout.prelim = previousSibling._tree.prelim + separation(node, previousSibling); + layout.mod = layout.prelim - midpoint; + } else { + layout.prelim = midpoint; + } + } else { + if (previousSibling) { + layout.prelim = previousSibling._tree.prelim + separation(node, previousSibling); + } + } + } + + function secondWalk(node, x) { + node.x = node._tree.prelim + x; + var children = node.children; + if (children && (n = children.length)) { + var i = -1, + n; + x += node._tree.mod; + while (++i < n) { + secondWalk(children[i], x); + } + } + } + + function apportion(node, previousSibling, ancestor) { + if (previousSibling) { + var vip = node, + vop = node, + vim = previousSibling, + vom = node.parent.children[0], + sip = vip._tree.mod, + sop = vop._tree.mod, + sim = vim._tree.mod, + som = vom._tree.mod, + shift; + while (vim = d3_layout_treeRight(vim), vip = d3_layout_treeLeft(vip), vim && vip) { + vom = d3_layout_treeLeft(vom); + vop = d3_layout_treeRight(vop); + vop._tree.ancestor = node; + shift = vim._tree.prelim + sim - vip._tree.prelim - sip + separation(vim, vip); + if (shift > 0) { + d3_layout_treeMove(d3_layout_treeAncestor(vim, node, ancestor), node, shift); + sip += shift; + sop += shift; + } + sim += vim._tree.mod; + sip += vip._tree.mod; + som += vom._tree.mod; + sop += vop._tree.mod; + } + if (vim && !d3_layout_treeRight(vop)) { + vop._tree.thread = vim; + vop._tree.mod += sim - sop; + } + if (vip && !d3_layout_treeLeft(vom)) { + vom._tree.thread = vip; + vom._tree.mod += sip - som; + ancestor = node; + } + } + return ancestor; + } + + // Initialize temporary layout variables. + d3_layout_treeVisitAfter(root, function(node, previousSibling) { + node._tree = { + ancestor: node, + prelim: 0, + mod: 0, + change: 0, + shift: 0, + number: previousSibling ? previousSibling._tree.number + 1 : 0 + }; + }); + + // Compute the layout using Buchheim et al.'s algorithm. + firstWalk(root); + secondWalk(root, -root._tree.prelim); + + // Compute the left-most, right-most, and depth-most nodes for extents. + var left = d3_layout_treeSearch(root, d3_layout_treeLeftmost), + right = d3_layout_treeSearch(root, d3_layout_treeRightmost), + deep = d3_layout_treeSearch(root, d3_layout_treeDeepest), + x0 = left.x - separation(left, right) / 2, + x1 = right.x + separation(right, left) / 2, + y1 = deep.depth || 1; + + // Clear temporary layout variables; transform x and y. + d3_layout_treeVisitAfter(root, function(node) { + node.x = (node.x - x0) / (x1 - x0) * size[0]; + node.y = node.depth / y1 * size[1]; + delete node._tree; + }); + + return nodes; + } + + tree.separation = function(x) { + if (!arguments.length) return separation; + separation = x; + return tree; + }; + + tree.size = function(x) { + if (!arguments.length) return size; + size = x; + return tree; + }; + + return d3_layout_hierarchyRebind(tree, hierarchy); +}; + +function d3_layout_treeSeparation(a, b) { + return a.parent == b.parent ? 1 : 2; +} + +// function d3_layout_treeSeparationRadial(a, b) { +// return (a.parent == b.parent ? 1 : 2) / a.depth; +// } + +function d3_layout_treeLeft(node) { + var children = node.children; + return children && children.length ? children[0] : node._tree.thread; +} + +function d3_layout_treeRight(node) { + var children = node.children, + n; + return children && (n = children.length) ? children[n - 1] : node._tree.thread; +} + +function d3_layout_treeSearch(node, compare) { + var children = node.children; + if (children && (n = children.length)) { + var child, + n, + i = -1; + while (++i < n) { + if (compare(child = d3_layout_treeSearch(children[i], compare), node) > 0) { + node = child; + } + } + } + return node; +} + +function d3_layout_treeRightmost(a, b) { + return a.x - b.x; +} + +function d3_layout_treeLeftmost(a, b) { + return b.x - a.x; +} + +function d3_layout_treeDeepest(a, b) { + return a.depth - b.depth; +} + +function d3_layout_treeVisitAfter(node, callback) { + function visit(node, previousSibling) { + var children = node.children; + if (children && (n = children.length)) { + var child, + previousChild = null, + i = -1, + n; + while (++i < n) { + child = children[i]; + visit(child, previousChild); + previousChild = child; + } + } + callback(node, previousSibling); + } + visit(node, null); +} + +function d3_layout_treeShift(node) { + var shift = 0, + change = 0, + children = node.children, + i = children.length, + child; + while (--i >= 0) { + child = children[i]._tree; + child.prelim += shift; + child.mod += shift; + shift += child.shift + (change += child.change); + } +} + +function d3_layout_treeMove(ancestor, node, shift) { + ancestor = ancestor._tree; + node = node._tree; + var change = shift / (node.number - ancestor.number); + ancestor.change += change; + node.change -= change; + node.shift += shift; + node.prelim += shift; + node.mod += shift; +} + +function d3_layout_treeAncestor(vim, node, ancestor) { + return vim._tree.ancestor.parent == node.parent + ? vim._tree.ancestor + : ancestor; +} +// Squarified Treemaps by Mark Bruls, Kees Huizing, and Jarke J. van Wijk +// Modified to support a target aspect ratio by Jeff Heer +d3.layout.treemap = function() { + var hierarchy = d3.layout.hierarchy(), + round = Math.round, + size = [1, 1], // width, height + padding = null, + pad = d3_layout_treemapPadNull, + sticky = false, + stickies, + ratio = 0.5 * (1 + Math.sqrt(5)); // golden ratio + + // Compute the area for each child based on value & scale. + function scale(children, k) { + var i = -1, + n = children.length, + child, + area; + while (++i < n) { + area = (child = children[i]).value * (k < 0 ? 0 : k); + child.area = isNaN(area) || area <= 0 ? 0 : area; + } + } + + // Recursively arranges the specified node's children into squarified rows. + function squarify(node) { + var children = node.children; + if (children && children.length) { + var rect = pad(node), + row = [], + remaining = children.slice(), // copy-on-write + child, + best = Infinity, // the best row score so far + score, // the current row score + u = Math.min(rect.dx, rect.dy), // initial orientation + n; + scale(remaining, rect.dx * rect.dy / node.value); + row.area = 0; + while ((n = remaining.length) > 0) { + row.push(child = remaining[n - 1]); + row.area += child.area; + if ((score = worst(row, u)) <= best) { // continue with this orientation + remaining.pop(); + best = score; + } else { // abort, and try a different orientation + row.area -= row.pop().area; + position(row, u, rect, false); + u = Math.min(rect.dx, rect.dy); + row.length = row.area = 0; + best = Infinity; + } + } + if (row.length) { + position(row, u, rect, true); + row.length = row.area = 0; + } + children.forEach(squarify); + } + } + + // Recursively resizes the specified node's children into existing rows. + // Preserves the existing layout! + function stickify(node) { + var children = node.children; + if (children && children.length) { + var rect = pad(node), + remaining = children.slice(), // copy-on-write + child, + row = []; + scale(remaining, rect.dx * rect.dy / node.value); + row.area = 0; + while (child = remaining.pop()) { + row.push(child); + row.area += child.area; + if (child.z != null) { + position(row, child.z ? rect.dx : rect.dy, rect, !remaining.length); + row.length = row.area = 0; + } + } + children.forEach(stickify); + } + } + + // Computes the score for the specified row, as the worst aspect ratio. + function worst(row, u) { + var s = row.area, + r, + rmax = 0, + rmin = Infinity, + i = -1, + n = row.length; + while (++i < n) { + if (!(r = row[i].area)) continue; + if (r < rmin) rmin = r; + if (r > rmax) rmax = r; + } + s *= s; + u *= u; + return s + ? Math.max((u * rmax * ratio) / s, s / (u * rmin * ratio)) + : Infinity; + } + + // Positions the specified row of nodes. Modifies `rect`. + function position(row, u, rect, flush) { + var i = -1, + n = row.length, + x = rect.x, + y = rect.y, + v = u ? round(row.area / u) : 0, + o; + if (u == rect.dx) { // horizontal subdivision + if (flush || v > rect.dy) v = rect.dy; // over+underflow + while (++i < n) { + o = row[i]; + o.x = x; + o.y = y; + o.dy = v; + x += o.dx = Math.min(rect.x + rect.dx - x, v ? round(o.area / v) : 0); + } + o.z = true; + o.dx += rect.x + rect.dx - x; // rounding error + rect.y += v; + rect.dy -= v; + } else { // vertical subdivision + if (flush || v > rect.dx) v = rect.dx; // over+underflow + while (++i < n) { + o = row[i]; + o.x = x; + o.y = y; + o.dx = v; + y += o.dy = Math.min(rect.y + rect.dy - y, v ? round(o.area / v) : 0); + } + o.z = false; + o.dy += rect.y + rect.dy - y; // rounding error + rect.x += v; + rect.dx -= v; + } + } + + function treemap(d) { + var nodes = stickies || hierarchy(d), + root = nodes[0]; + root.x = 0; + root.y = 0; + root.dx = size[0]; + root.dy = size[1]; + if (stickies) hierarchy.revalue(root); + scale([root], root.dx * root.dy / root.value); + (stickies ? stickify : squarify)(root); + if (sticky) stickies = nodes; + return nodes; + } + + treemap.size = function(x) { + if (!arguments.length) return size; + size = x; + return treemap; + }; + + treemap.padding = function(x) { + if (!arguments.length) return padding; + + function padFunction(node) { + var p = x.call(treemap, node, node.depth); + return p == null + ? d3_layout_treemapPadNull(node) + : d3_layout_treemapPad(node, typeof p === "number" ? [p, p, p, p] : p); + } + + function padConstant(node) { + return d3_layout_treemapPad(node, x); + } + + var type; + pad = (padding = x) == null ? d3_layout_treemapPadNull + : (type = typeof x) === "function" ? padFunction + : type === "number" ? (x = [x, x, x, x], padConstant) + : padConstant; + return treemap; + }; + + treemap.round = function(x) { + if (!arguments.length) return round != Number; + round = x ? Math.round : Number; + return treemap; + }; + + treemap.sticky = function(x) { + if (!arguments.length) return sticky; + sticky = x; + stickies = null; + return treemap; + }; + + treemap.ratio = function(x) { + if (!arguments.length) return ratio; + ratio = x; + return treemap; + }; + + return d3_layout_hierarchyRebind(treemap, hierarchy); +}; + +function d3_layout_treemapPadNull(node) { + return {x: node.x, y: node.y, dx: node.dx, dy: node.dy}; +} + +function d3_layout_treemapPad(node, padding) { + var x = node.x + padding[3], + y = node.y + padding[0], + dx = node.dx - padding[1] - padding[3], + dy = node.dy - padding[0] - padding[2]; + if (dx < 0) { x += dx / 2; dx = 0; } + if (dy < 0) { y += dy / 2; dy = 0; } + return {x: x, y: y, dx: dx, dy: dy}; +} +d3.csv = function(url, callback) { + d3.text(url, "text/csv", function(text) { + callback(text && d3.csv.parse(text)); + }); +}; +d3.csv.parse = function(text) { + var header; + return d3.csv.parseRows(text, function(row, i) { + if (i) { + var o = {}, j = -1, m = header.length; + while (++j < m) o[header[j]] = row[j]; + return o; + } else { + header = row; + return null; + } + }); +}; + +d3.csv.parseRows = function(text, f) { + var EOL = {}, // sentinel value for end-of-line + EOF = {}, // sentinel value for end-of-file + rows = [], // output rows + re = /\r\n|[,\r\n]/g, // field separator regex + n = 0, // the current line number + t, // the current token + eol; // is the current token followed by EOL? + + re.lastIndex = 0; // work-around bug in FF 3.6 + + /** @private Returns the next token. */ + function token() { + if (re.lastIndex >= text.length) return EOF; // special case: end of file + if (eol) { eol = false; return EOL; } // special case: end of line + + // special case: quotes + var j = re.lastIndex; + if (text.charCodeAt(j) === 34) { + var i = j; + while (i++ < text.length) { + if (text.charCodeAt(i) === 34) { + if (text.charCodeAt(i + 1) !== 34) break; + i++; + } + } + re.lastIndex = i + 2; + var c = text.charCodeAt(i + 1); + if (c === 13) { + eol = true; + if (text.charCodeAt(i + 2) === 10) re.lastIndex++; + } else if (c === 10) { + eol = true; + } + return text.substring(j + 1, i).replace(/""/g, "\""); + } + + // common case + var m = re.exec(text); + if (m) { + eol = m[0].charCodeAt(0) !== 44; + return text.substring(j, m.index); + } + re.lastIndex = text.length; + return text.substring(j); + } + + while ((t = token()) !== EOF) { + var a = []; + while ((t !== EOL) && (t !== EOF)) { + a.push(t); + t = token(); + } + if (f && !(a = f(a, n++))) continue; + rows.push(a); + } + + return rows; +}; +d3.csv.format = function(rows) { + return rows.map(d3_csv_formatRow).join("\n"); +}; + +function d3_csv_formatRow(row) { + return row.map(d3_csv_formatValue).join(","); +} + +function d3_csv_formatValue(text) { + return /[",\n]/.test(text) + ? "\"" + text.replace(/\"/g, "\"\"") + "\"" + : text; +} +d3.geo = {}; + +var d3_geo_radians = Math.PI / 180; +// TODO clip input coordinates on opposite hemisphere +d3.geo.azimuthal = function() { + var mode = "orthographic", // or stereographic, gnomonic, equidistant or equalarea + origin, + scale = 200, + translate = [480, 250], + x0, + y0, + cy0, + sy0; + + function azimuthal(coordinates) { + var x1 = coordinates[0] * d3_geo_radians - x0, + y1 = coordinates[1] * d3_geo_radians, + cx1 = Math.cos(x1), + sx1 = Math.sin(x1), + cy1 = Math.cos(y1), + sy1 = Math.sin(y1), + cc = mode !== "orthographic" ? sy0 * sy1 + cy0 * cy1 * cx1 : null, + c, + k = mode === "stereographic" ? 1 / (1 + cc) + : mode === "gnomonic" ? 1 / cc + : mode === "equidistant" ? (c = Math.acos(cc), c ? c / Math.sin(c) : 0) + : mode === "equalarea" ? Math.sqrt(2 / (1 + cc)) + : 1, + x = k * cy1 * sx1, + y = k * (sy0 * cy1 * cx1 - cy0 * sy1); + return [ + scale * x + translate[0], + scale * y + translate[1] + ]; + } + + azimuthal.invert = function(coordinates) { + var x = (coordinates[0] - translate[0]) / scale, + y = (coordinates[1] - translate[1]) / scale, + p = Math.sqrt(x * x + y * y), + c = mode === "stereographic" ? 2 * Math.atan(p) + : mode === "gnomonic" ? Math.atan(p) + : mode === "equidistant" ? p + : mode === "equalarea" ? 2 * Math.asin(.5 * p) + : Math.asin(p), + sc = Math.sin(c), + cc = Math.cos(c); + return [ + (x0 + Math.atan2(x * sc, p * cy0 * cc + y * sy0 * sc)) / d3_geo_radians, + Math.asin(cc * sy0 - (p ? (y * sc * cy0) / p : 0)) / d3_geo_radians + ]; + }; + + azimuthal.mode = function(x) { + if (!arguments.length) return mode; + mode = x + ""; + return azimuthal; + }; + + azimuthal.origin = function(x) { + if (!arguments.length) return origin; + origin = x; + x0 = origin[0] * d3_geo_radians; + y0 = origin[1] * d3_geo_radians; + cy0 = Math.cos(y0); + sy0 = Math.sin(y0); + return azimuthal; + }; + + azimuthal.scale = function(x) { + if (!arguments.length) return scale; + scale = +x; + return azimuthal; + }; + + azimuthal.translate = function(x) { + if (!arguments.length) return translate; + translate = [+x[0], +x[1]]; + return azimuthal; + }; + + return azimuthal.origin([0, 0]); +}; +// Derived from Tom Carden's Albers implementation for Protovis. +// http://gist.github.com/476238 +// http://mathworld.wolfram.com/AlbersEqual-AreaConicProjection.html + +d3.geo.albers = function() { + var origin = [-98, 38], + parallels = [29.5, 45.5], + scale = 1000, + translate = [480, 250], + lng0, // d3_geo_radians * origin[0] + n, + C, + p0; + + function albers(coordinates) { + var t = n * (d3_geo_radians * coordinates[0] - lng0), + p = Math.sqrt(C - 2 * n * Math.sin(d3_geo_radians * coordinates[1])) / n; + return [ + scale * p * Math.sin(t) + translate[0], + scale * (p * Math.cos(t) - p0) + translate[1] + ]; + } + + albers.invert = function(coordinates) { + var x = (coordinates[0] - translate[0]) / scale, + y = (coordinates[1] - translate[1]) / scale, + p0y = p0 + y, + t = Math.atan2(x, p0y), + p = Math.sqrt(x * x + p0y * p0y); + return [ + (lng0 + t / n) / d3_geo_radians, + Math.asin((C - p * p * n * n) / (2 * n)) / d3_geo_radians + ]; + }; + + function reload() { + var phi1 = d3_geo_radians * parallels[0], + phi2 = d3_geo_radians * parallels[1], + lat0 = d3_geo_radians * origin[1], + s = Math.sin(phi1), + c = Math.cos(phi1); + lng0 = d3_geo_radians * origin[0]; + n = .5 * (s + Math.sin(phi2)); + C = c * c + 2 * n * s; + p0 = Math.sqrt(C - 2 * n * Math.sin(lat0)) / n; + return albers; + } + + albers.origin = function(x) { + if (!arguments.length) return origin; + origin = [+x[0], +x[1]]; + return reload(); + }; + + albers.parallels = function(x) { + if (!arguments.length) return parallels; + parallels = [+x[0], +x[1]]; + return reload(); + }; + + albers.scale = function(x) { + if (!arguments.length) return scale; + scale = +x; + return albers; + }; + + albers.translate = function(x) { + if (!arguments.length) return translate; + translate = [+x[0], +x[1]]; + return albers; + }; + + return reload(); +}; + +// A composite projection for the United States, 960x500. The set of standard +// parallels for each region comes from USGS, which is published here: +// http://egsc.usgs.gov/isb/pubs/MapProjections/projections.html#albers +// TODO allow the composite projection to be rescaled? +d3.geo.albersUsa = function() { + var lower48 = d3.geo.albers(); + + var alaska = d3.geo.albers() + .origin([-160, 60]) + .parallels([55, 65]); + + var hawaii = d3.geo.albers() + .origin([-160, 20]) + .parallels([8, 18]); + + var puertoRico = d3.geo.albers() + .origin([-60, 10]) + .parallels([8, 18]); + + function albersUsa(coordinates) { + var lon = coordinates[0], + lat = coordinates[1]; + return (lat > 50 ? alaska + : lon < -140 ? hawaii + : lat < 21 ? puertoRico + : lower48)(coordinates); + } + + albersUsa.scale = function(x) { + if (!arguments.length) return lower48.scale(); + lower48.scale(x); + alaska.scale(x * .6); + hawaii.scale(x); + puertoRico.scale(x * 1.5); + return albersUsa.translate(lower48.translate()); + }; + + albersUsa.translate = function(x) { + if (!arguments.length) return lower48.translate(); + var dz = lower48.scale() / 1000, + dx = x[0], + dy = x[1]; + lower48.translate(x); + alaska.translate([dx - 400 * dz, dy + 170 * dz]); + hawaii.translate([dx - 190 * dz, dy + 200 * dz]); + puertoRico.translate([dx + 580 * dz, dy + 430 * dz]); + return albersUsa; + }; + + return albersUsa.scale(lower48.scale()); +}; +d3.geo.bonne = function() { + var scale = 200, + translate = [480, 250], + x0, // origin longitude in radians + y0, // origin latitude in radians + y1, // parallel latitude in radians + c1; // cot(y1) + + function bonne(coordinates) { + var x = coordinates[0] * d3_geo_radians - x0, + y = coordinates[1] * d3_geo_radians - y0; + if (y1) { + var p = c1 + y1 - y, E = x * Math.cos(y) / p; + x = p * Math.sin(E); + y = p * Math.cos(E) - c1; + } else { + x *= Math.cos(y); + y *= -1; + } + return [ + scale * x + translate[0], + scale * y + translate[1] + ]; + } + + bonne.invert = function(coordinates) { + var x = (coordinates[0] - translate[0]) / scale, + y = (coordinates[1] - translate[1]) / scale; + if (y1) { + var c = c1 + y, p = Math.sqrt(x * x + c * c); + y = c1 + y1 - p; + x = x0 + p * Math.atan2(x, c) / Math.cos(y); + } else { + y *= -1; + x /= Math.cos(y); + } + return [ + x / d3_geo_radians, + y / d3_geo_radians + ]; + }; + + // 90° for Werner, 0° for Sinusoidal + bonne.parallel = function(x) { + if (!arguments.length) return y1 / d3_geo_radians; + c1 = 1 / Math.tan(y1 = x * d3_geo_radians); + return bonne; + }; + + bonne.origin = function(x) { + if (!arguments.length) return [x0 / d3_geo_radians, y0 / d3_geo_radians]; + x0 = x[0] * d3_geo_radians; + y0 = x[1] * d3_geo_radians; + return bonne; + }; + + bonne.scale = function(x) { + if (!arguments.length) return scale; + scale = +x; + return bonne; + }; + + bonne.translate = function(x) { + if (!arguments.length) return translate; + translate = [+x[0], +x[1]]; + return bonne; + }; + + return bonne.origin([0, 0]).parallel(45); +}; +d3.geo.equirectangular = function() { + var scale = 500, + translate = [480, 250]; + + function equirectangular(coordinates) { + var x = coordinates[0] / 360, + y = -coordinates[1] / 360; + return [ + scale * x + translate[0], + scale * y + translate[1] + ]; + } + + equirectangular.invert = function(coordinates) { + var x = (coordinates[0] - translate[0]) / scale, + y = (coordinates[1] - translate[1]) / scale; + return [ + 360 * x, + -360 * y + ]; + }; + + equirectangular.scale = function(x) { + if (!arguments.length) return scale; + scale = +x; + return equirectangular; + }; + + equirectangular.translate = function(x) { + if (!arguments.length) return translate; + translate = [+x[0], +x[1]]; + return equirectangular; + }; + + return equirectangular; +}; +d3.geo.mercator = function() { + var scale = 500, + translate = [480, 250]; + + function mercator(coordinates) { + var x = coordinates[0] / 360, + y = -(Math.log(Math.tan(Math.PI / 4 + coordinates[1] * d3_geo_radians / 2)) / d3_geo_radians) / 360; + return [ + scale * x + translate[0], + scale * Math.max(-.5, Math.min(.5, y)) + translate[1] + ]; + } + + mercator.invert = function(coordinates) { + var x = (coordinates[0] - translate[0]) / scale, + y = (coordinates[1] - translate[1]) / scale; + return [ + 360 * x, + 2 * Math.atan(Math.exp(-360 * y * d3_geo_radians)) / d3_geo_radians - 90 + ]; + }; + + mercator.scale = function(x) { + if (!arguments.length) return scale; + scale = +x; + return mercator; + }; + + mercator.translate = function(x) { + if (!arguments.length) return translate; + translate = [+x[0], +x[1]]; + return mercator; + }; + + return mercator; +}; +function d3_geo_type(types, defaultValue) { + return function(object) { + return object && types.hasOwnProperty(object.type) ? types[object.type](object) : defaultValue; + }; +} +/** + * Returns a function that, given a GeoJSON object (e.g., a feature), returns + * the corresponding SVG path. The function can be customized by overriding the + * projection. Point features are mapped to circles with a default radius of + * 4.5px; the radius can be specified either as a constant or a function that + * is evaluated per object. + */ +d3.geo.path = function() { + var pointRadius = 4.5, + pointCircle = d3_path_circle(pointRadius), + projection = d3.geo.albersUsa(); + + function path(d, i) { + if (typeof pointRadius === "function") { + pointCircle = d3_path_circle(pointRadius.apply(this, arguments)); + } + return pathType(d) || null; + } + + function project(coordinates) { + return projection(coordinates).join(","); + } + + var pathType = d3_geo_type({ + + FeatureCollection: function(o) { + var path = [], + features = o.features, + i = -1, // features.index + n = features.length; + while (++i < n) path.push(pathType(features[i].geometry)); + return path.join(""); + }, + + Feature: function(o) { + return pathType(o.geometry); + }, + + Point: function(o) { + return "M" + project(o.coordinates) + pointCircle; + }, + + MultiPoint: function(o) { + var path = [], + coordinates = o.coordinates, + i = -1, // coordinates.index + n = coordinates.length; + while (++i < n) path.push("M", project(coordinates[i]), pointCircle); + return path.join(""); + }, + + LineString: function(o) { + var path = ["M"], + coordinates = o.coordinates, + i = -1, // coordinates.index + n = coordinates.length; + while (++i < n) path.push(project(coordinates[i]), "L"); + path.pop(); + return path.join(""); + }, + + MultiLineString: function(o) { + var path = [], + coordinates = o.coordinates, + i = -1, // coordinates.index + n = coordinates.length, + subcoordinates, // coordinates[i] + j, // subcoordinates.index + m; // subcoordinates.length + while (++i < n) { + subcoordinates = coordinates[i]; + j = -1; + m = subcoordinates.length; + path.push("M"); + while (++j < m) path.push(project(subcoordinates[j]), "L"); + path.pop(); + } + return path.join(""); + }, + + Polygon: function(o) { + var path = [], + coordinates = o.coordinates, + i = -1, // coordinates.index + n = coordinates.length, + subcoordinates, // coordinates[i] + j, // subcoordinates.index + m; // subcoordinates.length + while (++i < n) { + subcoordinates = coordinates[i]; + j = -1; + if ((m = subcoordinates.length - 1) > 0) { + path.push("M"); + while (++j < m) path.push(project(subcoordinates[j]), "L"); + path[path.length - 1] = "Z"; + } + } + return path.join(""); + }, + + MultiPolygon: function(o) { + var path = [], + coordinates = o.coordinates, + i = -1, // coordinates index + n = coordinates.length, + subcoordinates, // coordinates[i] + j, // subcoordinates index + m, // subcoordinates.length + subsubcoordinates, // subcoordinates[j] + k, // subsubcoordinates index + p; // subsubcoordinates.length + while (++i < n) { + subcoordinates = coordinates[i]; + j = -1; + m = subcoordinates.length; + while (++j < m) { + subsubcoordinates = subcoordinates[j]; + k = -1; + if ((p = subsubcoordinates.length - 1) > 0) { + path.push("M"); + while (++k < p) path.push(project(subsubcoordinates[k]), "L"); + path[path.length - 1] = "Z"; + } + } + } + return path.join(""); + }, + + GeometryCollection: function(o) { + var path = [], + geometries = o.geometries, + i = -1, // geometries index + n = geometries.length; + while (++i < n) path.push(pathType(geometries[i])); + return path.join(""); + } + + }); + + var areaType = path.area = d3_geo_type({ + + FeatureCollection: function(o) { + var area = 0, + features = o.features, + i = -1, // features.index + n = features.length; + while (++i < n) area += areaType(features[i]); + return area; + }, + + Feature: function(o) { + return areaType(o.geometry); + }, + + Polygon: function(o) { + return polygonArea(o.coordinates); + }, + + MultiPolygon: function(o) { + var sum = 0, + coordinates = o.coordinates, + i = -1, // coordinates index + n = coordinates.length; + while (++i < n) sum += polygonArea(coordinates[i]); + return sum; + }, + + GeometryCollection: function(o) { + var sum = 0, + geometries = o.geometries, + i = -1, // geometries index + n = geometries.length; + while (++i < n) sum += areaType(geometries[i]); + return sum; + } + + }, 0); + + function polygonArea(coordinates) { + var sum = area(coordinates[0]), // exterior ring + i = 0, // coordinates.index + n = coordinates.length; + while (++i < n) sum -= area(coordinates[i]); // holes + return sum; + } + + function polygonCentroid(coordinates) { + var polygon = d3.geom.polygon(coordinates[0].map(projection)), // exterior ring + area = polygon.area(), + centroid = polygon.centroid(area < 0 ? (area *= -1, 1) : -1), + x = centroid[0], + y = centroid[1], + z = area, + i = 0, // coordinates index + n = coordinates.length; + while (++i < n) { + polygon = d3.geom.polygon(coordinates[i].map(projection)); // holes + area = polygon.area(); + centroid = polygon.centroid(area < 0 ? (area *= -1, 1) : -1); + x -= centroid[0]; + y -= centroid[1]; + z -= area; + } + return [x, y, 6 * z]; // weighted centroid + } + + var centroidType = path.centroid = d3_geo_type({ + + // TODO FeatureCollection + // TODO Point + // TODO MultiPoint + // TODO LineString + // TODO MultiLineString + // TODO GeometryCollection + + Feature: function(o) { + return centroidType(o.geometry); + }, + + Polygon: function(o) { + var centroid = polygonCentroid(o.coordinates); + return [centroid[0] / centroid[2], centroid[1] / centroid[2]]; + }, + + MultiPolygon: function(o) { + var area = 0, + coordinates = o.coordinates, + centroid, + x = 0, + y = 0, + z = 0, + i = -1, // coordinates index + n = coordinates.length; + while (++i < n) { + centroid = polygonCentroid(coordinates[i]); + x += centroid[0]; + y += centroid[1]; + z += centroid[2]; + } + return [x / z, y / z]; + } + + }); + + function area(coordinates) { + return Math.abs(d3.geom.polygon(coordinates.map(projection)).area()); + } + + path.projection = function(x) { + projection = x; + return path; + }; + + path.pointRadius = function(x) { + if (typeof x === "function") pointRadius = x; + else { + pointRadius = +x; + pointCircle = d3_path_circle(pointRadius); + } + return path; + }; + + return path; +}; + +function d3_path_circle(radius) { + return "m0," + radius + + "a" + radius + "," + radius + " 0 1,1 0," + (-2 * radius) + + "a" + radius + "," + radius + " 0 1,1 0," + (+2 * radius) + + "z"; +} +/** + * Given a GeoJSON object, returns the corresponding bounding box. The bounding + * box is represented by a two-dimensional array: [[left, bottom], [right, + * top]], where left is the minimum longitude, bottom is the minimum latitude, + * right is maximum longitude, and top is the maximum latitude. + */ +d3.geo.bounds = function(feature) { + var left = Infinity, + bottom = Infinity, + right = -Infinity, + top = -Infinity; + d3_geo_bounds(feature, function(x, y) { + if (x < left) left = x; + if (x > right) right = x; + if (y < bottom) bottom = y; + if (y > top) top = y; + }); + return [[left, bottom], [right, top]]; +}; + +function d3_geo_bounds(o, f) { + if (d3_geo_boundsTypes.hasOwnProperty(o.type)) d3_geo_boundsTypes[o.type](o, f); +} + +var d3_geo_boundsTypes = { + Feature: d3_geo_boundsFeature, + FeatureCollection: d3_geo_boundsFeatureCollection, + GeometryCollection: d3_geo_boundsGeometryCollection, + LineString: d3_geo_boundsLineString, + MultiLineString: d3_geo_boundsMultiLineString, + MultiPoint: d3_geo_boundsLineString, + MultiPolygon: d3_geo_boundsMultiPolygon, + Point: d3_geo_boundsPoint, + Polygon: d3_geo_boundsPolygon +}; + +function d3_geo_boundsFeature(o, f) { + d3_geo_bounds(o.geometry, f); +} + +function d3_geo_boundsFeatureCollection(o, f) { + for (var a = o.features, i = 0, n = a.length; i < n; i++) { + d3_geo_bounds(a[i].geometry, f); + } +} + +function d3_geo_boundsGeometryCollection(o, f) { + for (var a = o.geometries, i = 0, n = a.length; i < n; i++) { + d3_geo_bounds(a[i], f); + } +} + +function d3_geo_boundsLineString(o, f) { + for (var a = o.coordinates, i = 0, n = a.length; i < n; i++) { + f.apply(null, a[i]); + } +} + +function d3_geo_boundsMultiLineString(o, f) { + for (var a = o.coordinates, i = 0, n = a.length; i < n; i++) { + for (var b = a[i], j = 0, m = b.length; j < m; j++) { + f.apply(null, b[j]); + } + } +} + +function d3_geo_boundsMultiPolygon(o, f) { + for (var a = o.coordinates, i = 0, n = a.length; i < n; i++) { + for (var b = a[i][0], j = 0, m = b.length; j < m; j++) { + f.apply(null, b[j]); + } + } +} + +function d3_geo_boundsPoint(o, f) { + f.apply(null, o.coordinates); +} + +function d3_geo_boundsPolygon(o, f) { + for (var a = o.coordinates[0], i = 0, n = a.length; i < n; i++) { + f.apply(null, a[i]); + } +} +// TODO breakAtDateLine? + +d3.geo.circle = function() { + var origin = [0, 0], + degrees = 90 - 1e-2, + radians = degrees * d3_geo_radians, + arc = d3.geo.greatArc().target(d3_identity); + + function circle() { + // TODO render a circle as a Polygon + } + + function visible(point) { + return arc.distance(point) < radians; + } + + circle.clip = function(d) { + arc.source(typeof origin === "function" ? origin.apply(this, arguments) : origin); + return clipType(d); + }; + + var clipType = d3_geo_type({ + + FeatureCollection: function(o) { + var features = o.features.map(clipType).filter(d3_identity); + return features && (o = Object.create(o), o.features = features, o); + }, + + Feature: function(o) { + var geometry = clipType(o.geometry); + return geometry && (o = Object.create(o), o.geometry = geometry, o); + }, + + Point: function(o) { + return visible(o.coordinates) && o; + }, + + MultiPoint: function(o) { + var coordinates = o.coordinates.filter(visible); + return coordinates.length && { + type: o.type, + coordinates: coordinates + }; + }, + + LineString: function(o) { + var coordinates = clip(o.coordinates); + return coordinates.length && (o = Object.create(o), o.coordinates = coordinates, o); + }, + + MultiLineString: function(o) { + var coordinates = o.coordinates.map(clip).filter(function(d) { return d.length; }); + return coordinates.length && (o = Object.create(o), o.coordinates = coordinates, o); + }, + + Polygon: function(o) { + var coordinates = o.coordinates.map(clip); + return coordinates[0].length && (o = Object.create(o), o.coordinates = coordinates, o); + }, + + MultiPolygon: function(o) { + var coordinates = o.coordinates.map(function(d) { return d.map(clip); }).filter(function(d) { return d[0].length; }); + return coordinates.length && (o = Object.create(o), o.coordinates = coordinates, o); + }, + + GeometryCollection: function(o) { + var geometries = o.geometries.map(clipType).filter(d3_identity); + return geometries.length && (o = Object.create(o), o.geometries = geometries, o); + } + + }); + + function clip(coordinates) { + var i = -1, + n = coordinates.length, + clipped = [], + p0, + p1, + p2, + d0, + d1; + + while (++i < n) { + d1 = arc.distance(p2 = coordinates[i]); + if (d1 < radians) { + if (p1) clipped.push(d3_geo_greatArcInterpolate(p1, p2)((d0 - radians) / (d0 - d1))); + clipped.push(p2); + p0 = p1 = null; + } else { + p1 = p2; + if (!p0 && clipped.length) { + clipped.push(d3_geo_greatArcInterpolate(clipped[clipped.length - 1], p1)((radians - d0) / (d1 - d0))); + p0 = p1; + } + } + d0 = d1; + } + + if (p1 && clipped.length) { + d1 = arc.distance(p2 = clipped[0]); + clipped.push(d3_geo_greatArcInterpolate(p1, p2)((d0 - radians) / (d0 - d1))); + } + + return resample(clipped); + } + + // Resample coordinates, creating great arcs between each. + function resample(coordinates) { + var i = 0, + n = coordinates.length, + j, + m, + resampled = n ? [coordinates[0]] : coordinates, + resamples, + origin = arc.source(); + + while (++i < n) { + resamples = arc.source(coordinates[i - 1])(coordinates[i]).coordinates; + for (j = 0, m = resamples.length; ++j < m;) resampled.push(resamples[j]); + } + + arc.source(origin); + return resampled; + } + + circle.origin = function(x) { + if (!arguments.length) return origin; + origin = x; + return circle; + }; + + circle.angle = function(x) { + if (!arguments.length) return degrees; + radians = (degrees = +x) * d3_geo_radians; + return circle; + }; + + // Precision is specified in degrees. + circle.precision = function(x) { + if (!arguments.length) return arc.precision(); + arc.precision(x); + return circle; + }; + + return circle; +} +d3.geo.greatArc = function() { + var source = d3_geo_greatArcSource, + target = d3_geo_greatArcTarget, + precision = 6 * d3_geo_radians; + + function greatArc() { + var a = typeof source === "function" ? source.apply(this, arguments) : source, + b = typeof target === "function" ? target.apply(this, arguments) : target, + i = d3_geo_greatArcInterpolate(a, b), + dt = precision / i.d, + t = 0, + coordinates = [a]; + while ((t += dt) < 1) coordinates.push(i(t)); + coordinates.push(b); + return { + type: "LineString", + coordinates: coordinates + }; + } + + // Length returned in radians; multiply by radius for distance. + greatArc.distance = function() { + var a = typeof source === "function" ? source.apply(this, arguments) : source, + b = typeof target === "function" ? target.apply(this, arguments) : target; + return d3_geo_greatArcInterpolate(a, b).d; + }; + + greatArc.source = function(x) { + if (!arguments.length) return source; + source = x; + return greatArc; + }; + + greatArc.target = function(x) { + if (!arguments.length) return target; + target = x; + return greatArc; + }; + + // Precision is specified in degrees. + greatArc.precision = function(x) { + if (!arguments.length) return precision / d3_geo_radians; + precision = x * d3_geo_radians; + return greatArc; + }; + + return greatArc; +}; + +function d3_geo_greatArcSource(d) { + return d.source; +} + +function d3_geo_greatArcTarget(d) { + return d.target; +} + +function d3_geo_greatArcInterpolate(a, b) { + var x0 = a[0] * d3_geo_radians, cx0 = Math.cos(x0), sx0 = Math.sin(x0), + y0 = a[1] * d3_geo_radians, cy0 = Math.cos(y0), sy0 = Math.sin(y0), + x1 = b[0] * d3_geo_radians, cx1 = Math.cos(x1), sx1 = Math.sin(x1), + y1 = b[1] * d3_geo_radians, cy1 = Math.cos(y1), sy1 = Math.sin(y1), + d = interpolate.d = Math.acos(Math.max(-1, Math.min(1, sy0 * sy1 + cy0 * cy1 * Math.cos(x1 - x0)))), + sd = Math.sin(d); + + // From http://williams.best.vwh.net/avform.htm#Intermediate + function interpolate(t) { + var A = Math.sin(d - (t *= d)) / sd, + B = Math.sin(t) / sd, + x = A * cy0 * cx0 + B * cy1 * cx1, + y = A * cy0 * sx0 + B * cy1 * sx1, + z = A * sy0 + B * sy1; + return [ + Math.atan2(y, x) / d3_geo_radians, + Math.atan2(z, Math.sqrt(x * x + y * y)) / d3_geo_radians + ]; + } + + return interpolate; +} +d3.geo.greatCircle = d3.geo.circle; +d3.geom = {}; +/** + * Computes a contour for a given input grid function using the marching + * squares algorithm. Returns the contour polygon as an array of points. + * + * @param grid a two-input function(x, y) that returns true for values + * inside the contour and false for values outside the contour. + * @param start an optional starting point [x, y] on the grid. + * @returns polygon [[x1, y1], [x2, y2], …] + */ +d3.geom.contour = function(grid, start) { + var s = start || d3_geom_contourStart(grid), // starting point + c = [], // contour polygon + x = s[0], // current x position + y = s[1], // current y position + dx = 0, // next x direction + dy = 0, // next y direction + pdx = NaN, // previous x direction + pdy = NaN, // previous y direction + i = 0; + + do { + // determine marching squares index + i = 0; + if (grid(x-1, y-1)) i += 1; + if (grid(x, y-1)) i += 2; + if (grid(x-1, y )) i += 4; + if (grid(x, y )) i += 8; + + // determine next direction + if (i === 6) { + dx = pdy === -1 ? -1 : 1; + dy = 0; + } else if (i === 9) { + dx = 0; + dy = pdx === 1 ? -1 : 1; + } else { + dx = d3_geom_contourDx[i]; + dy = d3_geom_contourDy[i]; + } + + // update contour polygon + if (dx != pdx && dy != pdy) { + c.push([x, y]); + pdx = dx; + pdy = dy; + } + + x += dx; + y += dy; + } while (s[0] != x || s[1] != y); + + return c; +}; + +// lookup tables for marching directions +var d3_geom_contourDx = [1, 0, 1, 1,-1, 0,-1, 1,0, 0,0,0,-1, 0,-1,NaN], + d3_geom_contourDy = [0,-1, 0, 0, 0,-1, 0, 0,1,-1,1,1, 0,-1, 0,NaN]; + +function d3_geom_contourStart(grid) { + var x = 0, + y = 0; + + // search for a starting point; begin at origin + // and proceed along outward-expanding diagonals + while (true) { + if (grid(x,y)) { + return [x,y]; + } + if (x === 0) { + x = y + 1; + y = 0; + } else { + x = x - 1; + y = y + 1; + } + } +} +/** + * Computes the 2D convex hull of a set of points using Graham's scanning + * algorithm. The algorithm has been implemented as described in Cormen, + * Leiserson, and Rivest's Introduction to Algorithms. The running time of + * this algorithm is O(n log n), where n is the number of input points. + * + * @param vertices [[x1, y1], [x2, y2], …] + * @returns polygon [[x1, y1], [x2, y2], …] + */ +d3.geom.hull = function(vertices) { + if (vertices.length < 3) return []; + + var len = vertices.length, + plen = len - 1, + points = [], + stack = [], + i, j, h = 0, x1, y1, x2, y2, u, v, a, sp; + + // find the starting ref point: leftmost point with the minimum y coord + for (i=1; i= (x2*x2 + y2*y2)) { + points[i].index = -1; + } else { + points[u].index = -1; + a = points[i].angle; + u = i; + v = j; + } + } else { + a = points[i].angle; + u = i; + v = j; + } + } + + // initialize the stack + stack.push(h); + for (i=0, j=0; i<2; ++j) { + if (points[j].index !== -1) { + stack.push(points[j].index); + i++; + } + } + sp = stack.length; + + // do graham's scan + for (; j 0; +} +// Note: requires coordinates to be counterclockwise and convex! +d3.geom.polygon = function(coordinates) { + + coordinates.area = function() { + var i = 0, + n = coordinates.length, + a = coordinates[n - 1][0] * coordinates[0][1], + b = coordinates[n - 1][1] * coordinates[0][0]; + while (++i < n) { + a += coordinates[i - 1][0] * coordinates[i][1]; + b += coordinates[i - 1][1] * coordinates[i][0]; + } + return (b - a) * .5; + }; + + coordinates.centroid = function(k) { + var i = -1, + n = coordinates.length, + x = 0, + y = 0, + a, + b = coordinates[n - 1], + c; + if (!arguments.length) k = -1 / (6 * coordinates.area()); + while (++i < n) { + a = b; + b = coordinates[i]; + c = a[0] * b[1] - b[0] * a[1]; + x += (a[0] + b[0]) * c; + y += (a[1] + b[1]) * c; + } + return [x * k, y * k]; + }; + + // The Sutherland-Hodgman clipping algorithm. + coordinates.clip = function(subject) { + var input, + i = -1, + n = coordinates.length, + j, + m, + a = coordinates[n - 1], + b, + c, + d; + while (++i < n) { + input = subject.slice(); + subject.length = 0; + b = coordinates[i]; + c = input[(m = input.length) - 1]; + j = -1; + while (++j < m) { + d = input[j]; + if (d3_geom_polygonInside(d, a, b)) { + if (!d3_geom_polygonInside(c, a, b)) { + subject.push(d3_geom_polygonIntersect(c, d, a, b)); + } + subject.push(d); + } else if (d3_geom_polygonInside(c, a, b)) { + subject.push(d3_geom_polygonIntersect(c, d, a, b)); + } + c = d; + } + a = b; + } + return subject; + }; + + return coordinates; +}; + +function d3_geom_polygonInside(p, a, b) { + return (b[0] - a[0]) * (p[1] - a[1]) < (b[1] - a[1]) * (p[0] - a[0]); +} + +// Intersect two infinite lines cd and ab. +function d3_geom_polygonIntersect(c, d, a, b) { + var x1 = c[0], x2 = d[0], x3 = a[0], x4 = b[0], + y1 = c[1], y2 = d[1], y3 = a[1], y4 = b[1], + x13 = x1 - x3, + x21 = x2 - x1, + x43 = x4 - x3, + y13 = y1 - y3, + y21 = y2 - y1, + y43 = y4 - y3, + ua = (x43 * y13 - y43 * x13) / (y43 * x21 - x43 * y21); + return [x1 + ua * x21, y1 + ua * y21]; +} +// Adapted from Nicolas Garcia Belmonte's JIT implementation: +// http://blog.thejit.org/2010/02/12/voronoi-tessellation/ +// http://blog.thejit.org/assets/voronoijs/voronoi.js +// See lib/jit/LICENSE for details. + +// Notes: +// +// This implementation does not clip the returned polygons, so if you want to +// clip them to a particular shape you will need to do that either in SVG or by +// post-processing with d3.geom.polygon's clip method. +// +// If any vertices are coincident or have NaN positions, the behavior of this +// method is undefined. Most likely invalid polygons will be returned. You +// should filter invalid points, and consolidate coincident points, before +// computing the tessellation. + +/** + * @param vertices [[x1, y1], [x2, y2], …] + * @returns polygons [[[x1, y1], [x2, y2], …], …] + */ +d3.geom.voronoi = function(vertices) { + var polygons = vertices.map(function() { return []; }); + + d3_voronoi_tessellate(vertices, function(e) { + var s1, + s2, + x1, + x2, + y1, + y2; + if (e.a === 1 && e.b >= 0) { + s1 = e.ep.r; + s2 = e.ep.l; + } else { + s1 = e.ep.l; + s2 = e.ep.r; + } + if (e.a === 1) { + y1 = s1 ? s1.y : -1e6; + x1 = e.c - e.b * y1; + y2 = s2 ? s2.y : 1e6; + x2 = e.c - e.b * y2; + } else { + x1 = s1 ? s1.x : -1e6; + y1 = e.c - e.a * x1; + x2 = s2 ? s2.x : 1e6; + y2 = e.c - e.a * x2; + } + var v1 = [x1, y1], + v2 = [x2, y2]; + polygons[e.region.l.index].push(v1, v2); + polygons[e.region.r.index].push(v1, v2); + }); + + // Reconnect the polygon segments into counterclockwise loops. + return polygons.map(function(polygon, i) { + var cx = vertices[i][0], + cy = vertices[i][1]; + polygon.forEach(function(v) { + v.angle = Math.atan2(v[0] - cx, v[1] - cy); + }); + return polygon.sort(function(a, b) { + return a.angle - b.angle; + }).filter(function(d, i) { + return !i || (d.angle - polygon[i - 1].angle > 1e-10); + }); + }); +}; + +var d3_voronoi_opposite = {"l": "r", "r": "l"}; + +function d3_voronoi_tessellate(vertices, callback) { + + var Sites = { + list: vertices + .map(function(v, i) { + return { + index: i, + x: v[0], + y: v[1] + }; + }) + .sort(function(a, b) { + return a.y < b.y ? -1 + : a.y > b.y ? 1 + : a.x < b.x ? -1 + : a.x > b.x ? 1 + : 0; + }), + bottomSite: null + }; + + var EdgeList = { + list: [], + leftEnd: null, + rightEnd: null, + + init: function() { + EdgeList.leftEnd = EdgeList.createHalfEdge(null, "l"); + EdgeList.rightEnd = EdgeList.createHalfEdge(null, "l"); + EdgeList.leftEnd.r = EdgeList.rightEnd; + EdgeList.rightEnd.l = EdgeList.leftEnd; + EdgeList.list.unshift(EdgeList.leftEnd, EdgeList.rightEnd); + }, + + createHalfEdge: function(edge, side) { + return { + edge: edge, + side: side, + vertex: null, + "l": null, + "r": null + }; + }, + + insert: function(lb, he) { + he.l = lb; + he.r = lb.r; + lb.r.l = he; + lb.r = he; + }, + + leftBound: function(p) { + var he = EdgeList.leftEnd; + do { + he = he.r; + } while (he != EdgeList.rightEnd && Geom.rightOf(he, p)); + he = he.l; + return he; + }, + + del: function(he) { + he.l.r = he.r; + he.r.l = he.l; + he.edge = null; + }, + + right: function(he) { + return he.r; + }, + + left: function(he) { + return he.l; + }, + + leftRegion: function(he) { + return he.edge == null + ? Sites.bottomSite + : he.edge.region[he.side]; + }, + + rightRegion: function(he) { + return he.edge == null + ? Sites.bottomSite + : he.edge.region[d3_voronoi_opposite[he.side]]; + } + }; + + var Geom = { + + bisect: function(s1, s2) { + var newEdge = { + region: {"l": s1, "r": s2}, + ep: {"l": null, "r": null} + }; + + var dx = s2.x - s1.x, + dy = s2.y - s1.y, + adx = dx > 0 ? dx : -dx, + ady = dy > 0 ? dy : -dy; + + newEdge.c = s1.x * dx + s1.y * dy + + (dx * dx + dy * dy) * .5; + + if (adx > ady) { + newEdge.a = 1; + newEdge.b = dy / dx; + newEdge.c /= dx; + } else { + newEdge.b = 1; + newEdge.a = dx / dy; + newEdge.c /= dy; + } + + return newEdge; + }, + + intersect: function(el1, el2) { + var e1 = el1.edge, + e2 = el2.edge; + if (!e1 || !e2 || (e1.region.r == e2.region.r)) { + return null; + } + var d = (e1.a * e2.b) - (e1.b * e2.a); + if (Math.abs(d) < 1e-10) { + return null; + } + var xint = (e1.c * e2.b - e2.c * e1.b) / d, + yint = (e2.c * e1.a - e1.c * e2.a) / d, + e1r = e1.region.r, + e2r = e2.region.r, + el, + e; + if ((e1r.y < e2r.y) || + (e1r.y == e2r.y && e1r.x < e2r.x)) { + el = el1; + e = e1; + } else { + el = el2; + e = e2; + } + var rightOfSite = (xint >= e.region.r.x); + if ((rightOfSite && (el.side === "l")) || + (!rightOfSite && (el.side === "r"))) { + return null; + } + return { + x: xint, + y: yint + }; + }, + + rightOf: function(he, p) { + var e = he.edge, + topsite = e.region.r, + rightOfSite = (p.x > topsite.x); + + if (rightOfSite && (he.side === "l")) { + return 1; + } + if (!rightOfSite && (he.side === "r")) { + return 0; + } + if (e.a === 1) { + var dyp = p.y - topsite.y, + dxp = p.x - topsite.x, + fast = 0, + above = 0; + + if ((!rightOfSite && (e.b < 0)) || + (rightOfSite && (e.b >= 0))) { + above = fast = (dyp >= e.b * dxp); + } else { + above = ((p.x + p.y * e.b) > e.c); + if (e.b < 0) { + above = !above; + } + if (!above) { + fast = 1; + } + } + if (!fast) { + var dxs = topsite.x - e.region.l.x; + above = (e.b * (dxp * dxp - dyp * dyp)) < + (dxs * dyp * (1 + 2 * dxp / dxs + e.b * e.b)); + + if (e.b < 0) { + above = !above; + } + } + } else /* e.b == 1 */ { + var yl = e.c - e.a * p.x, + t1 = p.y - yl, + t2 = p.x - topsite.x, + t3 = yl - topsite.y; + + above = (t1 * t1) > (t2 * t2 + t3 * t3); + } + return he.side === "l" ? above : !above; + }, + + endPoint: function(edge, side, site) { + edge.ep[side] = site; + if (!edge.ep[d3_voronoi_opposite[side]]) return; + callback(edge); + }, + + distance: function(s, t) { + var dx = s.x - t.x, + dy = s.y - t.y; + return Math.sqrt(dx * dx + dy * dy); + } + }; + + var EventQueue = { + list: [], + + insert: function(he, site, offset) { + he.vertex = site; + he.ystar = site.y + offset; + for (var i=0, list=EventQueue.list, l=list.length; i next.ystar || + (he.ystar == next.ystar && + site.x > next.vertex.x)) { + continue; + } else { + break; + } + } + list.splice(i, 0, he); + }, + + del: function(he) { + for (var i=0, ls=EventQueue.list, l=ls.length; i top.y) { + temp = bot; + bot = top; + top = temp; + pm = "r"; + } + e = Geom.bisect(bot, top); + bisector = EdgeList.createHalfEdge(e, pm); + EdgeList.insert(llbnd, bisector); + Geom.endPoint(e, d3_voronoi_opposite[pm], v); + p = Geom.intersect(llbnd, bisector); + if (p) { + EventQueue.del(llbnd); + EventQueue.insert(llbnd, p, Geom.distance(p, bot)); + } + p = Geom.intersect(bisector, rrbnd); + if (p) { + EventQueue.insert(bisector, p, Geom.distance(p, bot)); + } + } else { + break; + } + }//end while + + for (lbnd = EdgeList.right(EdgeList.leftEnd); + lbnd != EdgeList.rightEnd; + lbnd = EdgeList.right(lbnd)) { + callback(lbnd.edge); + } +} +/** +* @param vertices [[x1, y1], [x2, y2], …] +* @returns triangles [[[x1, y1], [x2, y2], [x3, y3]], …] + */ +d3.geom.delaunay = function(vertices) { + var edges = vertices.map(function() { return []; }), + triangles = []; + + // Use the Voronoi tessellation to determine Delaunay edges. + d3_voronoi_tessellate(vertices, function(e) { + edges[e.region.l.index].push(vertices[e.region.r.index]); + }); + + // Reconnect the edges into counterclockwise triangles. + edges.forEach(function(edge, i) { + var v = vertices[i], + cx = v[0], + cy = v[1]; + edge.forEach(function(v) { + v.angle = Math.atan2(v[0] - cx, v[1] - cy); + }); + edge.sort(function(a, b) { + return a.angle - b.angle; + }); + for (var j = 0, m = edge.length - 1; j < m; j++) { + triangles.push([v, edge[j], edge[j + 1]]); + } + }); + + return triangles; +}; +// 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] + }; +} +d3.time = {}; + +var d3_time = Date; + +function d3_time_utc() { + this._ = new Date(arguments.length > 1 + ? Date.UTC.apply(this, arguments) + : arguments[0]); +} + +d3_time_utc.prototype = { + getDate: function() { return this._.getUTCDate(); }, + getDay: function() { return this._.getUTCDay(); }, + getFullYear: function() { return this._.getUTCFullYear(); }, + getHours: function() { return this._.getUTCHours(); }, + getMilliseconds: function() { return this._.getUTCMilliseconds(); }, + getMinutes: function() { return this._.getUTCMinutes(); }, + getMonth: function() { return this._.getUTCMonth(); }, + getSeconds: function() { return this._.getUTCSeconds(); }, + getTime: function() { return this._.getTime(); }, + getTimezoneOffset: function() { return 0; }, + valueOf: function() { return this._.valueOf(); }, + setDate: function() { d3_time_prototype.setUTCDate.apply(this._, arguments); }, + setDay: function() { d3_time_prototype.setUTCDay.apply(this._, arguments); }, + setFullYear: function() { d3_time_prototype.setUTCFullYear.apply(this._, arguments); }, + setHours: function() { d3_time_prototype.setUTCHours.apply(this._, arguments); }, + setMilliseconds: function() { d3_time_prototype.setUTCMilliseconds.apply(this._, arguments); }, + setMinutes: function() { d3_time_prototype.setUTCMinutes.apply(this._, arguments); }, + setMonth: function() { d3_time_prototype.setUTCMonth.apply(this._, arguments); }, + setSeconds: function() { d3_time_prototype.setUTCSeconds.apply(this._, arguments); }, + setTime: function() { d3_time_prototype.setTime.apply(this._, arguments); } +}; + +var d3_time_prototype = Date.prototype; +d3.time.format = function(template) { + var n = template.length; + + function format(date) { + var string = [], + i = -1, + j = 0, + c, + f; + while (++i < n) { + if (template.charCodeAt(i) == 37) { + string.push( + template.substring(j, i), + (f = d3_time_formats[c = template.charAt(++i)]) + ? f(date) : c); + j = i + 1; + } + } + string.push(template.substring(j, i)); + return string.join(""); + } + + format.parse = function(string) { + var d = {y: 1900, m: 0, d: 1, H: 0, M: 0, S: 0, L: 0}, + i = d3_time_parse(d, template, string, 0); + if (i != string.length) return null; + + // The am-pm flag is 0 for AM, and 1 for PM. + if ("p" in d) d.H = d.H % 12 + d.p * 12; + + var date = new d3_time(); + date.setFullYear(d.y, d.m, d.d); + date.setHours(d.H, d.M, d.S, d.L); + return date; + }; + + format.toString = function() { + return template; + }; + + return format; +}; + +function d3_time_parse(date, template, string, j) { + var c, + p, + i = 0, + n = template.length, + m = string.length; + while (i < n) { + if (j >= m) return -1; + c = template.charCodeAt(i++); + if (c == 37) { + p = d3_time_parsers[template.charAt(i++)]; + if (!p || ((j = p(date, string, j)) < 0)) return -1; + } else if (c != string.charCodeAt(j++)) { + return -1; + } + } + return j; +} + +var d3_time_zfill2 = d3.format("02d"), + d3_time_zfill3 = d3.format("03d"), + d3_time_zfill4 = d3.format("04d"), + d3_time_sfill2 = d3.format("2d"); + +var d3_time_formats = { + a: function(d) { return d3_time_weekdays[d.getDay()].substring(0, 3); }, + A: function(d) { return d3_time_weekdays[d.getDay()]; }, + b: function(d) { return d3_time_months[d.getMonth()].substring(0, 3); }, + B: function(d) { return d3_time_months[d.getMonth()]; }, + c: d3.time.format("%a %b %e %H:%M:%S %Y"), + d: function(d) { return d3_time_zfill2(d.getDate()); }, + e: function(d) { return d3_time_sfill2(d.getDate()); }, + H: function(d) { return d3_time_zfill2(d.getHours()); }, + I: function(d) { return d3_time_zfill2(d.getHours() % 12 || 12); }, + j: function(d) { return d3_time_zfill3(1 + d3.time.dayOfYear(d)); }, + L: function(d) { return d3_time_zfill3(d.getMilliseconds()); }, + m: function(d) { return d3_time_zfill2(d.getMonth() + 1); }, + M: function(d) { return d3_time_zfill2(d.getMinutes()); }, + p: function(d) { return d.getHours() >= 12 ? "PM" : "AM"; }, + S: function(d) { return d3_time_zfill2(d.getSeconds()); }, + U: function(d) { return d3_time_zfill2(d3.time.sundayOfYear(d)); }, + w: function(d) { return d.getDay(); }, + W: function(d) { return d3_time_zfill2(d3.time.mondayOfYear(d)); }, + x: d3.time.format("%m/%d/%y"), + X: d3.time.format("%H:%M:%S"), + y: function(d) { return d3_time_zfill2(d.getFullYear() % 100); }, + Y: function(d) { return d3_time_zfill4(d.getFullYear() % 10000); }, + Z: d3_time_zone, + "%": function(d) { return "%"; } +}; + +var d3_time_parsers = { + a: d3_time_parseWeekdayAbbrev, + A: d3_time_parseWeekday, + b: d3_time_parseMonthAbbrev, + B: d3_time_parseMonth, + c: d3_time_parseLocaleFull, + d: d3_time_parseDay, + e: d3_time_parseDay, + H: d3_time_parseHour24, + I: d3_time_parseHour24, + // j: function(d, s, i) { /*TODO day of year [001,366] */ return i; }, + L: d3_time_parseMilliseconds, + m: d3_time_parseMonthNumber, + M: d3_time_parseMinutes, + p: d3_time_parseAmPm, + S: d3_time_parseSeconds, + // U: function(d, s, i) { /*TODO week number (sunday) [00,53] */ return i; }, + // w: function(d, s, i) { /*TODO weekday [0,6] */ return i; }, + // W: function(d, s, i) { /*TODO week number (monday) [00,53] */ return i; }, + x: d3_time_parseLocaleDate, + X: d3_time_parseLocaleTime, + y: d3_time_parseYear, + Y: d3_time_parseFullYear + // , + // Z: function(d, s, i) { /*TODO time zone */ return i; }, + // "%": function(d, s, i) { /*TODO literal % */ return i; } +}; + +// Note: weekday is validated, but does not set the date. +function d3_time_parseWeekdayAbbrev(date, string, i) { + return d3_time_weekdayAbbrevRe.test(string.substring(i, i += 3)) ? i : -1; +} + +// Note: weekday is validated, but does not set the date. +function d3_time_parseWeekday(date, string, i) { + d3_time_weekdayRe.lastIndex = 0; + var n = d3_time_weekdayRe.exec(string.substring(i, i + 10)); + return n ? i += n[0].length : -1; +} + +var d3_time_weekdayAbbrevRe = /^(?:sun|mon|tue|wed|thu|fri|sat)/i, + d3_time_weekdayRe = /^(?:Sunday|Monday|Tuesday|Wednesday|Thursday|Friday|Saturday)/i, + d3_time_weekdays = ["Sunday", "Monday", "Tuesday", "Wednesday", "Thursday", "Friday", "Saturday"]; + +function d3_time_parseMonthAbbrev(date, string, i) { + var n = d3_time_monthAbbrevLookup.get(string.substring(i, i += 3).toLowerCase()); + return n == null ? -1 : (date.m = n, i); +} + +var d3_time_monthAbbrevLookup = d3.map({ + jan: 0, + feb: 1, + mar: 2, + apr: 3, + may: 4, + jun: 5, + jul: 6, + aug: 7, + sep: 8, + oct: 9, + nov: 10, + dec: 11 +}); + +function d3_time_parseMonth(date, string, i) { + d3_time_monthRe.lastIndex = 0; + var n = d3_time_monthRe.exec(string.substring(i, i + 12)); + return n ? (date.m = d3_time_monthLookup.get(n[0].toLowerCase()), i += n[0].length) : -1; +} + +var d3_time_monthRe = /^(?:January|February|March|April|May|June|July|August|September|October|November|December)/ig; + +var d3_time_monthLookup = d3.map({ + january: 0, + february: 1, + march: 2, + april: 3, + may: 4, + june: 5, + july: 6, + august: 7, + september: 8, + october: 9, + november: 10, + december: 11 +}); + +var d3_time_months = [ + "January", + "February", + "March", + "April", + "May", + "June", + "July", + "August", + "September", + "October", + "November", + "December" +]; + +function d3_time_parseLocaleFull(date, string, i) { + return d3_time_parse(date, d3_time_formats.c.toString(), string, i); +} + +function d3_time_parseLocaleDate(date, string, i) { + return d3_time_parse(date, d3_time_formats.x.toString(), string, i); +} + +function d3_time_parseLocaleTime(date, string, i) { + return d3_time_parse(date, d3_time_formats.X.toString(), string, i); +} + +function d3_time_parseFullYear(date, string, i) { + d3_time_numberRe.lastIndex = 0; + var n = d3_time_numberRe.exec(string.substring(i, i + 4)); + return n ? (date.y = +n[0], i += n[0].length) : -1; +} + +function d3_time_parseYear(date, string, i) { + d3_time_numberRe.lastIndex = 0; + var n = d3_time_numberRe.exec(string.substring(i, i + 2)); + return n ? (date.y = d3_time_century() + +n[0], i += n[0].length) : -1; +} + +function d3_time_century() { + return ~~(new Date().getFullYear() / 1000) * 1000; +} + +function d3_time_parseMonthNumber(date, string, i) { + d3_time_numberRe.lastIndex = 0; + var n = d3_time_numberRe.exec(string.substring(i, i + 2)); + return n ? (date.m = n[0] - 1, i += n[0].length) : -1; +} + +function d3_time_parseDay(date, string, i) { + d3_time_numberRe.lastIndex = 0; + var n = d3_time_numberRe.exec(string.substring(i, i + 2)); + return n ? (date.d = +n[0], i += n[0].length) : -1; +} + +// Note: we don't validate that the hour is in the range [0,23] or [1,12]. +function d3_time_parseHour24(date, string, i) { + d3_time_numberRe.lastIndex = 0; + var n = d3_time_numberRe.exec(string.substring(i, i + 2)); + return n ? (date.H = +n[0], i += n[0].length) : -1; +} + +function d3_time_parseMinutes(date, string, i) { + d3_time_numberRe.lastIndex = 0; + var n = d3_time_numberRe.exec(string.substring(i, i + 2)); + return n ? (date.M = +n[0], i += n[0].length) : -1; +} + +function d3_time_parseSeconds(date, string, i) { + d3_time_numberRe.lastIndex = 0; + var n = d3_time_numberRe.exec(string.substring(i, i + 2)); + return n ? (date.S = +n[0], i += n[0].length) : -1; +} + +function d3_time_parseMilliseconds(date, string, i) { + d3_time_numberRe.lastIndex = 0; + var n = d3_time_numberRe.exec(string.substring(i, i + 3)); + return n ? (date.L = +n[0], i += n[0].length) : -1; +} + +// Note: we don't look at the next directive. +var d3_time_numberRe = /\s*\d+/; + +function d3_time_parseAmPm(date, string, i) { + var n = d3_time_amPmLookup.get(string.substring(i, i += 2).toLowerCase()); + return n == null ? -1 : (date.p = n, i); +} + +var d3_time_amPmLookup = d3.map({ + am: 0, + pm: 1 +}); + +// TODO table of time zone offset names? +function d3_time_zone(d) { + var z = d.getTimezoneOffset(), + zs = z > 0 ? "-" : "+", + zh = ~~(Math.abs(z) / 60), + zm = Math.abs(z) % 60; + return zs + d3_time_zfill2(zh) + d3_time_zfill2(zm); +} +d3.time.format.utc = function(template) { + var local = d3.time.format(template); + + function format(date) { + try { + d3_time = d3_time_utc; + var utc = new d3_time(); + utc._ = date; + return local(utc); + } finally { + d3_time = Date; + } + } + + format.parse = function(string) { + try { + d3_time = d3_time_utc; + var date = local.parse(string); + return date && date._; + } finally { + d3_time = Date; + } + }; + + format.toString = local.toString; + + return format; +}; +var d3_time_formatIso = d3.time.format.utc("%Y-%m-%dT%H:%M:%S.%LZ"); + +d3.time.format.iso = Date.prototype.toISOString ? d3_time_formatIsoNative : d3_time_formatIso; + +function d3_time_formatIsoNative(date) { + return date.toISOString(); +} + +d3_time_formatIsoNative.parse = function(string) { + return new Date(string); +}; + +d3_time_formatIsoNative.toString = d3_time_formatIso.toString; +function d3_time_interval(local, step, number) { + + function round(date) { + var d0 = local(date), d1 = offset(d0, 1); + return date - d0 < d1 - date ? d0 : d1; + } + + function ceil(date) { + step(date = local(new d3_time(date - 1)), 1); + return date; + } + + function offset(date, k) { + step(date = new d3_time(+date), k); + return date; + } + + function range(t0, t1, dt) { + var time = ceil(t0), times = []; + if (dt > 1) { + while (time < t1) { + if (!(number(time) % dt)) times.push(new Date(+time)); + step(time, 1); + } + } else { + while (time < t1) times.push(new Date(+time)), step(time, 1); + } + return times; + } + + function range_utc(t0, t1, dt) { + try { + d3_time = d3_time_utc; + var utc = new d3_time_utc(); + utc._ = t0; + return range(utc, t1, dt); + } finally { + d3_time = Date; + } + } + + local.floor = local; + local.round = round; + local.ceil = ceil; + local.offset = offset; + local.range = range; + + var utc = local.utc = d3_time_interval_utc(local); + utc.floor = utc; + utc.round = d3_time_interval_utc(round); + utc.ceil = d3_time_interval_utc(ceil); + utc.offset = d3_time_interval_utc(offset); + utc.range = range_utc; + + return local; +} + +function d3_time_interval_utc(method) { + return function(date, k) { + try { + d3_time = d3_time_utc; + var utc = new d3_time_utc(); + utc._ = date; + return method(utc, k)._; + } finally { + d3_time = Date; + } + }; +} +d3.time.second = d3_time_interval(function(date) { + return new d3_time(Math.floor(date / 1e3) * 1e3); +}, function(date, offset) { + date.setTime(date.getTime() + Math.floor(offset) * 1e3); // DST breaks setSeconds +}, function(date) { + return date.getSeconds(); +}); + +d3.time.seconds = d3.time.second.range; +d3.time.seconds.utc = d3.time.second.utc.range; +d3.time.minute = d3_time_interval(function(date) { + return new d3_time(Math.floor(date / 6e4) * 6e4); +}, function(date, offset) { + date.setTime(date.getTime() + Math.floor(offset) * 6e4); // DST breaks setMinutes +}, function(date) { + return date.getMinutes(); +}); + +d3.time.minutes = d3.time.minute.range; +d3.time.minutes.utc = d3.time.minute.utc.range; +d3.time.hour = d3_time_interval(function(date) { + var timezone = date.getTimezoneOffset() / 60; + return new d3_time((Math.floor(date / 36e5 - timezone) + timezone) * 36e5); +}, function(date, offset) { + date.setTime(date.getTime() + Math.floor(offset) * 36e5); // DST breaks setHours +}, function(date) { + return date.getHours(); +}); + +d3.time.hours = d3.time.hour.range; +d3.time.hours.utc = d3.time.hour.utc.range; +d3.time.day = d3_time_interval(function(date) { + return new d3_time(date.getFullYear(), date.getMonth(), date.getDate()); +}, function(date, offset) { + date.setDate(date.getDate() + offset); +}, function(date) { + return date.getDate() - 1; +}); + +d3.time.days = d3.time.day.range; +d3.time.days.utc = d3.time.day.utc.range; + +d3.time.dayOfYear = function(date) { + var year = d3.time.year(date); + return Math.floor((date - year) / 864e5 - (date.getTimezoneOffset() - year.getTimezoneOffset()) / 1440); +}; +d3_time_weekdays.forEach(function(day, i) { + day = day.toLowerCase(); + i = 7 - i; + + var interval = d3.time[day] = d3_time_interval(function(date) { + (date = d3.time.day(date)).setDate(date.getDate() - (date.getDay() + i) % 7); + return date; + }, function(date, offset) { + date.setDate(date.getDate() + Math.floor(offset) * 7); + }, function(date) { + var day = d3.time.year(date).getDay(); + return Math.floor((d3.time.dayOfYear(date) + (day + i) % 7) / 7) - (day !== i); + }); + + d3.time[day + "s"] = interval.range; + d3.time[day + "s"].utc = interval.utc.range; + + d3.time[day + "OfYear"] = function(date) { + var day = d3.time.year(date).getDay(); + return Math.floor((d3.time.dayOfYear(date) + (day + i) % 7) / 7); + }; +}); + +d3.time.week = d3.time.sunday; +d3.time.weeks = d3.time.sunday.range; +d3.time.weeks.utc = d3.time.sunday.utc.range; +d3.time.weekOfYear = d3.time.sundayOfYear; +d3.time.month = d3_time_interval(function(date) { + return new d3_time(date.getFullYear(), date.getMonth(), 1); +}, function(date, offset) { + date.setMonth(date.getMonth() + offset); +}, function(date) { + return date.getMonth(); +}); + +d3.time.months = d3.time.month.range; +d3.time.months.utc = d3.time.month.utc.range; +d3.time.year = d3_time_interval(function(date) { + return new d3_time(date.getFullYear(), 0, 1); +}, function(date, offset) { + date.setFullYear(date.getFullYear() + offset); +}, function(date) { + return date.getFullYear(); +}); + +d3.time.years = d3.time.year.range; +d3.time.years.utc = d3.time.year.utc.range; +function d3_time_scale(linear, methods, format) { + + function scale(x) { + return linear(x); + } + + scale.invert = function(x) { + return d3_time_scaleDate(linear.invert(x)); + }; + + scale.domain = function(x) { + if (!arguments.length) return linear.domain().map(d3_time_scaleDate); + linear.domain(x); + return scale; + }; + + scale.nice = function(m) { + var extent = d3_time_scaleExtent(scale.domain()); + return scale.domain([m.floor(extent[0]), m.ceil(extent[1])]); + }; + + scale.ticks = function(m, k) { + var extent = d3_time_scaleExtent(scale.domain()); + if (typeof m !== "function") { + var span = extent[1] - extent[0], + target = span / m, + i = d3.bisect(d3_time_scaleSteps, target); + if (i == d3_time_scaleSteps.length) return methods.year(extent, m); + if (!i) return linear.ticks(m).map(d3_time_scaleDate); + if (Math.log(target / d3_time_scaleSteps[i - 1]) < Math.log(d3_time_scaleSteps[i] / target)) --i; + m = methods[i]; + k = m[1]; + m = m[0].range; + } + return m(extent[0], new Date(+extent[1] + 1), k); // inclusive upper bound + }; + + scale.tickFormat = function() { + return format; + }; + + scale.copy = function() { + return d3_time_scale(linear.copy(), methods, format); + }; + + // TOOD expose d3_scale_linear_rebind? + return d3.rebind(scale, linear, "range", "rangeRound", "interpolate", "clamp"); +} + +// TODO expose d3_scaleExtent? +function d3_time_scaleExtent(domain) { + var start = domain[0], stop = domain[domain.length - 1]; + return start < stop ? [start, stop] : [stop, start]; +} + +function d3_time_scaleDate(t) { + return new Date(t); +} + +function d3_time_scaleFormat(formats) { + return function(date) { + var i = formats.length - 1, f = formats[i]; + while (!f[1](date)) f = formats[--i]; + return f[0](date); + }; +} + +function d3_time_scaleSetYear(y) { + var d = new Date(y, 0, 1); + d.setFullYear(y); // Y2K fail + return d; +} + +function d3_time_scaleGetYear(d) { + var y = d.getFullYear(), + d0 = d3_time_scaleSetYear(y), + d1 = d3_time_scaleSetYear(y + 1); + return y + (d - d0) / (d1 - d0); +} + +var d3_time_scaleSteps = [ + 1e3, // 1-second + 5e3, // 5-second + 15e3, // 15-second + 3e4, // 30-second + 6e4, // 1-minute + 3e5, // 5-minute + 9e5, // 15-minute + 18e5, // 30-minute + 36e5, // 1-hour + 108e5, // 3-hour + 216e5, // 6-hour + 432e5, // 12-hour + 864e5, // 1-day + 1728e5, // 2-day + 6048e5, // 1-week + 2592e6, // 1-month + 7776e6, // 3-month + 31536e6 // 1-year +]; + +var d3_time_scaleLocalMethods = [ + [d3.time.second, 1], + [d3.time.second, 5], + [d3.time.second, 15], + [d3.time.second, 30], + [d3.time.minute, 1], + [d3.time.minute, 5], + [d3.time.minute, 15], + [d3.time.minute, 30], + [d3.time.hour, 1], + [d3.time.hour, 3], + [d3.time.hour, 6], + [d3.time.hour, 12], + [d3.time.day, 1], + [d3.time.day, 2], + [d3.time.week, 1], + [d3.time.month, 1], + [d3.time.month, 3], + [d3.time.year, 1] +]; + +var d3_time_scaleLocalFormats = [ + [d3.time.format("%Y"), function(d) { return true; }], + [d3.time.format("%B"), function(d) { return d.getMonth(); }], + [d3.time.format("%b %d"), function(d) { return d.getDate() != 1; }], + [d3.time.format("%a %d"), function(d) { return d.getDay() && d.getDate() != 1; }], + [d3.time.format("%I %p"), function(d) { return d.getHours(); }], + [d3.time.format("%I:%M"), function(d) { return d.getMinutes(); }], + [d3.time.format(":%S"), function(d) { return d.getSeconds(); }], + [d3.time.format(".%L"), function(d) { return d.getMilliseconds(); }] +]; + +var d3_time_scaleLinear = d3.scale.linear(), + d3_time_scaleLocalFormat = d3_time_scaleFormat(d3_time_scaleLocalFormats); + +d3_time_scaleLocalMethods.year = function(extent, m) { + return d3_time_scaleLinear.domain(extent.map(d3_time_scaleGetYear)).ticks(m).map(d3_time_scaleSetYear); +}; + +d3.time.scale = function() { + return d3_time_scale(d3.scale.linear(), d3_time_scaleLocalMethods, d3_time_scaleLocalFormat); +}; +var d3_time_scaleUTCMethods = d3_time_scaleLocalMethods.map(function(m) { + return [m[0].utc, m[1]]; +}); + +var d3_time_scaleUTCFormats = [ + [d3.time.format.utc("%Y"), function(d) { return true; }], + [d3.time.format.utc("%B"), function(d) { return d.getUTCMonth(); }], + [d3.time.format.utc("%b %d"), function(d) { return d.getUTCDate() != 1; }], + [d3.time.format.utc("%a %d"), function(d) { return d.getUTCDay() && d.getUTCDate() != 1; }], + [d3.time.format.utc("%I %p"), function(d) { return d.getUTCHours(); }], + [d3.time.format.utc("%I:%M"), function(d) { return d.getUTCMinutes(); }], + [d3.time.format.utc(":%S"), function(d) { return d.getUTCSeconds(); }], + [d3.time.format.utc(".%L"), function(d) { return d.getUTCMilliseconds(); }] +]; + +var d3_time_scaleUTCFormat = d3_time_scaleFormat(d3_time_scaleUTCFormats); + +function d3_time_scaleUTCSetYear(y) { + var d = new Date(Date.UTC(y, 0, 1)); + d.setUTCFullYear(y); // Y2K fail + return d; +} + +function d3_time_scaleUTCGetYear(d) { + var y = d.getUTCFullYear(), + d0 = d3_time_scaleUTCSetYear(y), + d1 = d3_time_scaleUTCSetYear(y + 1); + return y + (d - d0) / (d1 - d0); +} + +d3_time_scaleUTCMethods.year = function(extent, m) { + return d3_time_scaleLinear.domain(extent.map(d3_time_scaleUTCGetYear)).ticks(m).map(d3_time_scaleUTCSetYear); +}; + +d3.time.scale.utc = function() { + return d3_time_scale(d3.scale.linear(), d3_time_scaleUTCMethods, d3_time_scaleUTCFormat); +}; +})(); diff --git a/static/scripts/mvc/tools.js b/static/scripts/mvc/tools.js index 5d580bbd4fb..a50a8c7a102 100644 --- a/static/scripts/mvc/tools.js +++ b/static/scripts/mvc/tools.js @@ -1,7 +1,9 @@ /** - * Model classes for Galaxy tools and tool panel. Models have no references to views, - * instead using events to indicate state changes; this is advantageous because - * multiple views can use the same object and models can be used without views. + * Model, view, and controller objects for Galaxy tools and tool panel. + * + * Models have no references to views, instead using events to indicate state + * changes; this is advantageous because multiple views can use the same object + * and models can be used without views. */ /** @@ -481,7 +483,6 @@ var ToolFormView = Backbone.View.extend({ } }); - /** * Integrated tool menu + tool execution. */ diff --git a/static/scripts/mvc/visualization.js b/static/scripts/mvc/visualization.js index c5506cad243..1aad29b9834 100644 --- a/static/scripts/mvc/visualization.js +++ b/static/scripts/mvc/visualization.js @@ -1,3 +1,187 @@ +/** + * Model, view, and controller objects for Galaxy tools and tool panel. + * + * Models have no references to views, instead using events to indicate state + * changes; this is advantageous because multiple views can use the same object + * and models can be used without views. + */ + +/** + * -- Models -- + */ + +/** + * A genome build. + */ +var Genome = Backbone.Model.extend({ + defaults: { + name: null, + key: null, + chroms_info: null + }, + + get_chroms_info: function() { + return this.attributes.chroms_info.chrom_info; + } +}); + +/** + * A histogram dataset. + */ +var HistogramDataset = Backbone.Model.extend({ + + initialize: function(data) { + // Set max across dataset. + this.attributes.data = data; + this.attributes.max = _.max(data, function(d) { + if (!d || typeof d === "string") { return 0; } + return d[1]; + })[1]; + } + +}); + +/** + * Layout for a histogram dataset in a circos visualization. + */ +var CircosHistogramDatasetLayout = Backbone.Model.extend({ + // TODO: should accept genome and dataset and use these to generate layout data. + + /** + * Returns arc layouts for genome's chromosomes/contigs. Arcs are arranged in a circle + * separated by gaps. + */ + chroms_layout: function() { + // Setup chroms layout using pie. + var chroms_info = this.attributes.genome.get_chroms_info(), + pie_layout = d3.layout.pie().value(function(d) { return d.len; }).sort(null), + init_arcs = pie_layout(chroms_info), + gap_per_chrom = this.attributes.total_gap / chroms_info.length, + chrom_arcs = _.map(init_arcs, function(arc, index) { + // For short chroms, endAngle === startAngle. + var new_endAngle = arc.endAngle - gap_per_chrom; + arc.endAngle = (new_endAngle > arc.startAngle ? new_endAngle : arc.startAngle); + return arc; + }); + + // TODO: remove arcs for chroms that are too small and recompute? + + return chrom_arcs; + }, + + /** + * Returns layouts for drawing a chromosome's data. For now, only works with summary tree data. + */ + chrom_data_layout: function(chrom_arc, chrom_data, inner_radius, outer_radius, max) { + // If no chrom data, return null. + if (!chrom_data || typeof chrom_data === "string") { + return null; + } + + var data = chrom_data[0], + delta = chrom_data[3], + scale = d3.scale.linear() + .domain( [0, max] ) + .range( [inner_radius, outer_radius] ), + arc_layout = d3.layout.pie().value(function(d) { + return delta; + }) + .startAngle(chrom_arc.startAngle) + .endAngle(chrom_arc.endAngle), + arcs = arc_layout(data); + + // Use scale to assign outer radius. + _.each(data, function(datum, index) { + arcs[index].outerRadius = scale(datum[1]); + }); + + return arcs; + } + +}); + +/** + * -- Views -- + */ + +var CircosView = Backbone.View.extend({ + className: 'circos', + + initialize: function(options) { + this.width = options.width; + this.height = options.height; + this.total_gap = options.total_gap; + this.genome = options.genome; + this.dataset = options.dataset; + this.radius_start = options.radius_start; + this.dataset_arc_height = options.dataset_arc_height; + }, + + render: function() { + // -- Layout viz. -- + + var radius_start = this.radius_start, + dataset_arc_height = this.dataset_arc_height, + + // Layout chromosome arcs. + arcs_layout = new CircosHistogramDatasetLayout({ + genome: this.genome, + total_gap: this.total_gap + }), + chrom_arcs = arcs_layout.chroms_layout(), + + // Merge chroms layout with data. + layout_and_data = _.zip(chrom_arcs, this.dataset.attributes.data), + dataset_max = this.dataset.attributes.max, + + // Do dataset layout for each chromosome's data using pie layout. + chroms_data_layout = _.map(layout_and_data, function(chrom_info) { + var chrom_arc = chrom_info[0], + chrom_data = chrom_info[1]; + return arcs_layout.chrom_data_layout(chrom_arc, chrom_data, radius_start, radius_start + dataset_arc_height, dataset_max); + }); + + // -- Render viz. -- + + var svg = d3.select(this.$el[0]) + .append("svg") + .attr("width", this.width) + .attr("height", this.height) + .append("g") + .attr("transform", "translate(" + this.width / 2 + "," + this.height / 2 + ")"); + + // Draw background arcs for each chromosome. + var base_arc = svg.append("g").attr("id", "inner-arc"), + arc_gen = d3.svg.arc() + .innerRadius(radius_start) + .outerRadius(radius_start + dataset_arc_height), + // Draw arcs. + chroms_elts = base_arc.selectAll("#inner-arc>path") + .data(chrom_arcs).enter().append("path") + .attr("d", arc_gen) + .style("stroke", "#ccc") + .style("fill", "#ccc") + .append("title").text(function(d) { return d.data.chrom; }); + + // For each chromosome, draw dataset. + _.each(chroms_data_layout, function(chrom_layout) { + if (!chrom_layout) { return; } + + var group = svg.append("g"), + arc_gen = d3.svg.arc().innerRadius(radius_start), + dataset_elts = group.selectAll("path") + .data(chrom_layout).enter().append("path") + .attr("d", arc_gen) + .style("stroke", "red") + .style("fill", 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TrackBrowserRouter=Backbone.Router.extend({initialize:function(b){this.view=b.view;this.route(/([\w]+)$/,"change_location");this.route(/([\w]+\:[\d,]+-[\d,]+)$/,"change_location");var a=this;a.view.on("navigate",function(c){a.navigate(c)})},change_location:function(a){this.view.go_to(a)}}); \ No newline at end of file diff --git a/templates/visualization/circos.mako b/templates/visualization/circos.mako new file mode 100644 index 00000000000..94d73e0aff6 --- /dev/null +++ b/templates/visualization/circos.mako @@ -0,0 +1,39 @@ +<%inherit file="/base.mako"/> + +<%def name="stylesheets()"> + ${parent.stylesheets()} + + +<%def name="javascripts()"> + ${parent.javascripts()} + + ${h.js( "libs/d3", "mvc/visualization" )} + + + + +<%def name="body()"> +

Circos plot for '${dataset.name}'

+