!function(){ var d3 = {version: "3.5.5"}; // semver d3.ascending = d3_ascending; function d3_ascending(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.min = function(array, f) { var i = -1, n = array.length, a, b; if (arguments.length === 1) { while (++i < n) if ((b = array[i]) != null && b >= b) { a = b; break; } while (++i < n) if ((b = array[i]) != null && a > b) a = b; } else { while (++i < n) if ((b = f.call(array, array[i], i)) != null && b >= b) { a = b; break; } 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) if ((b = array[i]) != null && b >= b) { a = b; break; } while (++i < n) if ((b = array[i]) != null && b > a) a = b; } else { while (++i < n) if ((b = f.call(array, array[i], i)) != null && b >= b) { a = b; break; } 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) if ((b = array[i]) != null && b >= b) { a = c = b; break; } while (++i < n) if ((b = array[i]) != null) { if (a > b) a = b; if (c < b) c = b; } } else { while (++i < n) if ((b = f.call(array, array[i], i)) != null && b >= b) { a = c = b; break; } 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]; }; function d3_number(x) { return x === null ? NaN : +x; } function d3_numeric(x) { return !isNaN(x); } d3.sum = function(array, f) { var s = 0, n = array.length, a, i = -1; if (arguments.length === 1) { while (++i < n) if (d3_numeric(a = +array[i])) s += a; // zero and null are equivalent } else { while (++i < n) if (d3_numeric(a = +f.call(array, array[i], i))) s += a; } return s; }; d3.mean = function(array, f) { var s = 0, n = array.length, a, i = -1, j = n; if (arguments.length === 1) { while (++i < n) if (d3_numeric(a = d3_number(array[i]))) s += a; else --j; } else { while (++i < n) if (d3_numeric(a = d3_number(f.call(array, array[i], i)))) s += a; else --j; } if (j) return s / j; }; // 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.median = function(array, f) { var numbers = [], n = array.length, a, i = -1; if (arguments.length === 1) { while (++i < n) if (d3_numeric(a = d3_number(array[i]))) numbers.push(a); } else { while (++i < n) if (d3_numeric(a = d3_number(f.call(array, array[i], i)))) numbers.push(a); } if (numbers.length) return d3.quantile(numbers.sort(d3_ascending), .5); }; d3.variance = function(array, f) { var n = array.length, m = 0, a, d, s = 0, i = -1, j = 0; if (arguments.length === 1) { while (++i < n) { if (d3_numeric(a = d3_number(array[i]))) { d = a - m; m += d / ++j; s += d * (a - m); } } } else { while (++i < n) { if (d3_numeric(a = d3_number(f.call(array, array[i], i)))) { d = a - m; m += d / ++j; s += d * (a - m); } } } if (j > 1) return s / (j - 1); }; d3.deviation = function() { var v = d3.variance.apply(this, arguments); return v ? Math.sqrt(v) : v; }; function d3_bisector(compare) { 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 (compare(a[mid], x) < 0) 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 (compare(a[mid], x) > 0) hi = mid; else lo = mid + 1; } return lo; } }; } var d3_bisect = d3_bisector(d3_ascending); d3.bisectLeft = d3_bisect.left; d3.bisect = d3.bisectRight = d3_bisect.right; d3.bisector = function(f) { return d3_bisector(f.length === 1 ? function(d, x) { return d3_ascending(f(d), x); } : f); }; d3.shuffle = function(array, i0, i1) { if ((m = arguments.length) < 3) { i1 = array.length; if (m < 2) i0 = 0; } var m = i1 - i0, t, i; while (m) { i = Math.random() * m-- | 0; t = array[m + i0], array[m + i0] = array[i + i0], array[i + i0] = t; } return array; }; d3.permute = function(array, indexes) { var i = indexes.length, permutes = new Array(i); while (i--) permutes[i] = array[indexes[i]]; return permutes; }; d3.pairs = function(array) { var i = 0, n = array.length - 1, p0, p1 = array[0], pairs = new Array(n < 0 ? 0 : n); while (i < n) pairs[i] = [p0 = p1, p1 = array[++i]]; return pairs; }; 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.transpose = function(matrix) { return d3.zip.apply(d3, matrix); }; 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.merge = function(arrays) { var n = arrays.length, m, i = -1, j = 0, merged, array; while (++i < n) j += arrays[i].length; merged = new Array(j); while (--n >= 0) { array = arrays[n]; m = array.length; while (--m >= 0) { merged[--j] = array[m]; } } return merged; }; var abs = Math.abs; 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(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; } function d3_class(ctor, properties) { for (var key in properties) { Object.defineProperty(ctor.prototype, key, { value: properties[key], enumerable: false }); } } d3.map = function(object, f) { var map = new d3_Map; if (object instanceof d3_Map) { object.forEach(function(key, value) { map.set(key, value); }); } else if (Array.isArray(object)) { var i = -1, n = object.length, o; if (arguments.length === 1) while (++i < n) map.set(i, object[i]); else while (++i < n) map.set(f.call(object, o = object[i], i), o); } else { for (var key in object) map.set(key, object[key]); } return map; }; function d3_Map() { this._ = Object.create(null); } var d3_map_proto = "__proto__", d3_map_zero = "\0"; d3_class(d3_Map, { has: d3_map_has, get: function(key) { return this._[d3_map_escape(key)]; }, set: function(key, value) { return this._[d3_map_escape(key)] = value; }, remove: d3_map_remove, keys: d3_map_keys, values: function() { var values = []; for (var key in this._) values.push(this._[key]); return values; }, entries: function() { var entries = []; for (var key in this._) entries.push({key: d3_map_unescape(key), value: this._[key]}); return entries; }, size: d3_map_size, empty: d3_map_empty, forEach: function(f) { for (var key in this._) f.call(this, d3_map_unescape(key), this._[key]); } }); function d3_map_escape(key) { return (key += "") === d3_map_proto || key[0] === d3_map_zero ? d3_map_zero + key : key; } function d3_map_unescape(key) { return (key += "")[0] === d3_map_zero ? key.slice(1) : key; } function d3_map_has(key) { return d3_map_escape(key) in this._; } function d3_map_remove(key) { return (key = d3_map_escape(key)) in this._ && delete this._[key]; } function d3_map_keys() { var keys = []; for (var key in this._) keys.push(d3_map_unescape(key)); return keys; } function d3_map_size() { var size = 0; for (var key in this._) ++size; return size; } function d3_map_empty() { for (var key in this._) return false; return true; } d3.nest = function() { var nest = {}, keys = [], sortKeys = [], sortValues, rollup; function map(mapType, 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, setter, valuesByKey = new d3_Map, values; while (++i < n) { if (values = valuesByKey.get(keyValue = key(object = array[i]))) { values.push(object); } else { valuesByKey.set(keyValue, [object]); } } if (mapType) { object = mapType(); setter = function(keyValue, values) { object.set(keyValue, map(mapType, values, depth)); }; } else { object = {}; setter = function(keyValue, values) { object[keyValue] = map(mapType, values, depth); }; } valuesByKey.forEach(setter); return object; } function entries(map, depth) { if (depth >= keys.length) return map; var array = [], sortKey = sortKeys[depth++]; map.forEach(function(key, keyMap) { array.push({key: key, values: entries(keyMap, depth)}); }); return sortKey ? array.sort(function(a, b) { return sortKey(a.key, b.key); }) : array; } nest.map = function(array, mapType) { return map(mapType, array, 0); }; nest.entries = function(array) { return entries(map(d3.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.set = function(array) { var set = new d3_Set; if (array) for (var i = 0, n = array.length; i < n; ++i) set.add(array[i]); return set; }; function d3_Set() { this._ = Object.create(null); } d3_class(d3_Set, { has: d3_map_has, add: function(key) { this._[d3_map_escape(key += "")] = true; return key; }, remove: d3_map_remove, values: d3_map_keys, size: d3_map_size, empty: d3_map_empty, forEach: function(f) { for (var key in this._) f.call(this, d3_map_unescape(key)); } }); d3.behavior = {}; var d3_document = this.document; function d3_documentElement(node) { return node && (node.ownerDocument // node is a Node || node.document // node is a Window || node).documentElement; // node is a Document } function d3_window(node) { return node && ((node.ownerDocument && node.ownerDocument.defaultView) // node is a Node || (node.document && node) // node is a Window || node.defaultView); // node is a Document } // 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 value === source ? target : value; }; } function d3_vendorSymbol(object, name) { if (name in object) return name; name = name.charAt(0).toUpperCase() + name.slice(1); for (var i = 0, n = d3_vendorPrefixes.length; i < n; ++i) { var prefixName = d3_vendorPrefixes[i] + name; if (prefixName in object) return prefixName; } } var d3_vendorPrefixes = ["webkit", "ms", "moz", "Moz", "o", "O"]; var d3_arraySlice = [].slice, d3_array = function(list) { return d3_arraySlice.call(list); }; // conversion for NodeLists function d3_noop() {} 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.slice(i + 1); type = type.slice(0, i); } if (type) return arguments.length < 2 ? this[type].on(name) : this[type].on(name, listener); if (arguments.length === 2) { if (listener == null) for (type in this) { if (this.hasOwnProperty(type)) this[type].on(name, null); } return this; } }; 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; } d3.event = null; function d3_eventPreventDefault() { d3.event.preventDefault(); } function d3_eventCancel() { d3.event.preventDefault(); d3.event.stopPropagation(); } 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.requote = function(s) { return s.replace(d3_requote_re, "\\$&"); }; var d3_requote_re = /[\\\^\$\*\+\?\|\[\]\(\)\.\{\}]/g; var d3_subclass = {}.__proto__? // Until ECMAScript supports array subclassing, prototype injection works well. function(object, prototype) { object.__proto__ = prototype; }: // And if your browser doesn't support __proto__, we'll use direct extension. function(object, prototype) { for (var property in prototype) object[property] = prototype[property]; }; function d3_selection(groups) { d3_subclass(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_selectMatches = function(n, s) { var d3_selectMatcher = n.matches || n[d3_vendorSymbol(n, "matchesSelector")]; d3_selectMatches = function(n, s) { return d3_selectMatcher.call(n, s); }; return d3_selectMatches(n, s); }; // Prefer Sizzle, if available. if (typeof Sizzle === "function") { d3_select = function(s, n) { return Sizzle(s, n)[0] || null; }; d3_selectAll = Sizzle; d3_selectMatches = Sizzle.matchesSelector; } d3.selection = function() { return d3.select(d3_document.documentElement); }; var d3_selectionPrototype = d3.selection.prototype = []; d3_selectionPrototype.select = function(selector) { var subgroups = [], subgroup, subnode, group, node; 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, j)); if (subnode && "__data__" in node) subnode.__data__ = node.__data__; } else { subgroup.push(null); } } } return d3_selection(subgroups); }; function d3_selection_selector(selector) { return typeof selector === "function" ? selector : function() { return d3_select(selector, this); }; } d3_selectionPrototype.selectAll = function(selector) { var subgroups = [], subgroup, node; 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, j))); subgroup.parentNode = node; } } } return d3_selection(subgroups); }; function d3_selection_selectorAll(selector) { return typeof selector === "function" ? selector : function() { return d3_selectAll(selector, this); }; } 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.slice(0, i); name = name.slice(i + 1); } return d3_nsPrefix.hasOwnProperty(prefix) ? {space: d3_nsPrefix[prefix], local: name} : name; } }; d3_selectionPrototype.attr = function(name, value) { if (arguments.length < 2) { // For attr(string), return the attribute value for the first node. if (typeof name === "string") { var node = this.node(); name = d3.ns.qualify(name); return name.local ? node.getAttributeNS(name.space, name.local) : node.getAttribute(name); } // For attr(object), the object specifies the names and values of the // attributes to set or remove. The values may be functions that are // evaluated for each element. for (value in name) this.each(d3_selection_attr(value, name[value])); return this; } return this.each(d3_selection_attr(name, value)); }; function d3_selection_attr(name, value) { name = d3.ns.qualify(name); // For attr(string, null), remove the attribute with the specified name. function attrNull() { this.removeAttribute(name); } function attrNullNS() { this.removeAttributeNS(name.space, name.local); } // For attr(string, string), set the attribute with the specified name. function attrConstant() { this.setAttribute(name, value); } function attrConstantNS() { this.setAttributeNS(name.space, name.local, value); } // For attr(string, function), evaluate the function for each element, and set // or remove the attribute as appropriate. 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 value == null ? (name.local ? attrNullNS : attrNull) : (typeof value === "function" ? (name.local ? attrFunctionNS : attrFunction) : (name.local ? attrConstantNS : attrConstant)); } function d3_collapse(s) { return s.trim().replace(/\s+/g, " "); } d3_selectionPrototype.classed = function(name, value) { if (arguments.length < 2) { // For classed(string), return true only if the first node has the specified // class or classes. Note that even if the browser supports DOMTokenList, it // probably doesn't support it on SVG elements (which can be animated). if (typeof name === "string") { var node = this.node(), n = (name = d3_selection_classes(name)).length, i = -1; if (value = node.classList) { while (++i < n) if (!value.contains(name[i])) return false; } else { value = node.getAttribute("class"); while (++i < n) if (!d3_selection_classedRe(name[i]).test(value)) return false; } return true; } // For classed(object), the object specifies the names of classes to add or // remove. The values may be functions that are evaluated for each element. for (value in name) this.each(d3_selection_classed(value, name[value])); return this; } // Otherwise, both a name and a value are specified, and are handled as below. return this.each(d3_selection_classed(name, value)); }; function d3_selection_classedRe(name) { return new RegExp("(?:^|\\s+)" + d3.requote(name) + "(?:\\s+|$)", "g"); } function d3_selection_classes(name) { return (name + "").trim().split(/^|\s+/); } // Multiple class names are allowed (e.g., "foo bar"). function d3_selection_classed(name, value) { name = d3_selection_classes(name).map(d3_selection_classedName); var n = name.length; function classedConstant() { var i = -1; while (++i < n) name[i](this, value); } // When the value is a function, the function is still evaluated only once per // element even if there are multiple class names. function classedFunction() { var i = -1, x = value.apply(this, arguments); while (++i < n) name[i](this, x); } return typeof value === "function" ? classedFunction : classedConstant; } function d3_selection_classedName(name) { var re = d3_selection_classedRe(name); return function(node, value) { if (c = node.classList) return value ? c.add(name) : c.remove(name); var c = node.getAttribute("class") || ""; if (value) { re.lastIndex = 0; if (!re.test(c)) node.setAttribute("class", d3_collapse(c + " " + name)); } else { node.setAttribute("class", d3_collapse(c.replace(re, " "))); } }; } d3_selectionPrototype.style = function(name, value, priority) { var n = arguments.length; if (n < 3) { // For style(object) or style(object, string), the object specifies the // names and values of the attributes to set or remove. The values may be // functions that are evaluated for each element. The optional string // specifies the priority. if (typeof name !== "string") { if (n < 2) value = ""; for (priority in name) this.each(d3_selection_style(priority, name[priority], value)); return this; } // For style(string), return the computed style value for the first node. if (n < 2) { var node = this.node(); return d3_window(node).getComputedStyle(node, null).getPropertyValue(name); } // For style(string, string) or style(string, function), use the default // priority. The priority is ignored for style(string, null). priority = ""; } // Otherwise, a name, value and priority are specified, and handled as below. return this.each(d3_selection_style(name, value, priority)); }; function d3_selection_style(name, value, priority) { // For style(name, null) or style(name, null, priority), remove the style // property with the specified name. The priority is ignored. function styleNull() { this.style.removeProperty(name); } // For style(name, string) or style(name, string, priority), set the style // property with the specified name, using the specified priority. function styleConstant() { this.style.setProperty(name, value, priority); } // For style(name, function) or style(name, function, priority), evaluate the // function for each element, and set or remove the style property as // appropriate. When setting, use the specified priority. function styleFunction() { var x = value.apply(this, arguments); if (x == null) this.style.removeProperty(name); else this.style.setProperty(name, x, priority); } return value == null ? styleNull : (typeof value === "function" ? styleFunction : styleConstant); } d3_selectionPrototype.property = function(name, value) { if (arguments.length < 2) { // For property(string), return the property value for the first node. if (typeof name === "string") return this.node()[name]; // For property(object), the object specifies the names and values of the // properties to set or remove. The values may be functions that are // evaluated for each element. for (value in name) this.each(d3_selection_property(value, name[value])); return this; } // Otherwise, both a name and a value are specified, and are handled as below. return this.each(d3_selection_property(name, value)); }; function d3_selection_property(name, value) { // For property(name, null), remove the property with the specified name. function propertyNull() { delete this[name]; } // For property(name, string), set the property with the specified name. function propertyConstant() { this[name] = value; } // For property(name, function), evaluate the function for each element, and // set or remove the property as appropriate. function propertyFunction() { var x = value.apply(this, arguments); if (x == null) delete this[name]; else this[name] = x; } return value == null ? propertyNull : (typeof value === "function" ? propertyFunction : propertyConstant); } d3_selectionPrototype.text = function(value) { return arguments.length ? this.each(typeof value === "function" ? function() { var v = value.apply(this, arguments); this.textContent = v == null ? "" : v; } : value == null ? function() { if (this.textContent !== "") this.textContent = ""; } : function() { if (this.textContent !== value) this.textContent = value; }) : this.node().textContent; }; d3_selectionPrototype.html = function(value) { return arguments.length ? 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; }) : this.node().innerHTML; }; d3_selectionPrototype.append = function(name) { name = d3_selection_creator(name); return this.select(function() { return this.appendChild(name.apply(this, arguments)); }); }; function d3_selection_creator(name) { function create() { var document = this.ownerDocument, namespace = this.namespaceURI; return namespace ? document.createElementNS(namespace, name) : document.createElement(name); } function createNS() { return this.ownerDocument.createElementNS(name.space, name.local); } return typeof name === "function" ? name : (name = d3.ns.qualify(name)).local ? createNS : create; } d3_selectionPrototype.insert = function(name, before) { name = d3_selection_creator(name); before = d3_selection_selector(before); return this.select(function() { return this.insertBefore(name.apply(this, arguments), before.apply(this, arguments) || null); }); }; // TODO remove(selector)? // TODO remove(node)? // TODO remove(function)? d3_selectionPrototype.remove = function() { return this.each(d3_selectionRemove); }; function d3_selectionRemove() { 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), updateNodes = new Array(m), enterNodes = new Array(m), exitNodes = new Array(n), node, nodeData; if (key) { var nodeByKeyValue = new d3_Map, keyValues = new Array(n), keyValue; for (i = -1; ++i < n;) { if (nodeByKeyValue.has(keyValue = key.call(node = group[i], node.__data__, i))) { exitNodes[i] = node; // duplicate selection key } else { nodeByKeyValue.set(keyValue, node); } keyValues[i] = keyValue; } for (i = -1; ++i < m;) { if (!(node = nodeByKeyValue.get(keyValue = key.call(groupData, nodeData = groupData[i], i)))) { enterNodes[i] = d3_selection_dataNode(nodeData); } else if (node !== true) { // no duplicate data key updateNodes[i] = node; node.__data__ = nodeData; } nodeByKeyValue.set(keyValue, true); } for (i = -1; ++i < n;) { if (nodeByKeyValue.get(keyValues[i]) !== true) { exitNodes[i] = group[i]; } } } else { for (i = -1; ++i < n0;) { node = group[i]; nodeData = groupData[i]; if (node) { node.__data__ = nodeData; updateNodes[i] = node; } else { enterNodes[i] = d3_selection_dataNode(nodeData); } } for (; i < m; ++i) { enterNodes[i] = d3_selection_dataNode(groupData[i]); } for (; i < n; ++i) { exitNodes[i] = group[i]; } } 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 = function(value) { return arguments.length ? this.property("__data__", value) : this.property("__data__"); }; 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, j)) { 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 a && b ? comparator(a.__data__, b.__data__) : !a - !b; }; } d3_selectionPrototype.each = function(callback) { return d3_selection_each(this, function(node, i, j) { callback.call(node, node.__data__, i, j); }); }; function d3_selection_each(groups, callback) { for (var j = 0, m = groups.length; j < m; j++) { for (var group = groups[j], i = 0, n = group.length, node; i < n; i++) { if (node = group[i]) callback(node, i, j); } } return groups; } d3_selectionPrototype.call = function(callback) { var args = d3_array(arguments); callback.apply(args[0] = this, args); return this; }; d3_selectionPrototype.empty = function() { return !this.node(); }; d3_selectionPrototype.node = function() { 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.size = function() { var n = 0; d3_selection_each(this, function() { ++n; }); return n; }; function d3_selection_enter(selection) { d3_subclass(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.empty = d3_selectionPrototype.empty; d3_selection_enterPrototype.node = d3_selectionPrototype.node; d3_selection_enterPrototype.call = d3_selectionPrototype.call; d3_selection_enterPrototype.size = d3_selectionPrototype.size; 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, j)); subnode.__data__ = node.__data__; } else { subgroup.push(null); } } } return d3_selection(subgroups); }; d3_selection_enterPrototype.insert = function(name, before) { if (arguments.length < 2) before = d3_selection_enterInsertBefore(this); return d3_selectionPrototype.insert.call(this, name, before); }; function d3_selection_enterInsertBefore(enter) { var i0, j0; return function(d, i, j) { var group = enter[j].update, n = group.length, node; if (j != j0) j0 = j, i0 = 0; if (i >= i0) i0 = i + 1; while (!(node = group[i0]) && ++i0 < n); return node; }; } // TODO fast singleton implementation? d3.select = function(node) { var group; if (typeof node === "string") { group = [d3_select(node, d3_document)]; group.parentNode = d3_document.documentElement; } else { group = [node]; group.parentNode = d3_documentElement(node); } return d3_selection([group]); }; d3.selectAll = function(nodes) { var group; if (typeof nodes === "string") { group = d3_array(d3_selectAll(nodes, d3_document)); group.parentNode = d3_document.documentElement; } else { group = nodes; group.parentNode = null; } return d3_selection([group]); }; d3_selectionPrototype.on = function(type, listener, capture) { var n = arguments.length; if (n < 3) { // For on(object) or on(object, boolean), the object specifies the event // types and listeners to add or remove. The optional boolean specifies // whether the listener captures events. if (typeof type !== "string") { if (n < 2) listener = false; for (capture in type) this.each(d3_selection_on(capture, type[capture], listener)); return this; } // For on(string), return the listener for the first node. if (n < 2) return (n = this.node()["__on" + type]) && n._; // For on(string, function), use the default capture. capture = false; } // Otherwise, a type, listener and capture are specified, and handled as below. return this.each(d3_selection_on(type, listener, capture)); }; function d3_selection_on(type, listener, capture) { var name = "__on" + type, i = type.indexOf("."), wrap = d3_selection_onListener; if (i > 0) type = type.slice(0, i); var filter = d3_selection_onFilters.get(type); if (filter) type = filter, wrap = d3_selection_onFilter; function onRemove() { var l = this[name]; if (l) { this.removeEventListener(type, l, l.$); delete this[name]; } } function onAdd() { var l = wrap(listener, d3_array(arguments)); if (typeof Raven !== 'undefined') l = Raven.wrap(l); onRemove.call(this); this.addEventListener(type, this[name] = l, l.$ = capture); l._ = listener; } function removeAll() { var re = new RegExp("^__on([^.]+)" + d3.requote(type) + "$"), match; for (var name in this) { if (match = name.match(re)) { var l = this[name]; this.removeEventListener(match[1], l, l.$); delete this[name]; } } } return i ? listener ? onAdd : onRemove : listener ? d3_noop : removeAll; } var d3_selection_onFilters = d3.map({ mouseenter: "mouseover", mouseleave: "mouseout" }); if (d3_document) { d3_selection_onFilters.forEach(function(k) { if ("on" + k in d3_document) d3_selection_onFilters.remove(k); }); } function d3_selection_onListener(listener, argumentz) { return function(e) { var o = d3.event; // Events can be reentrant (e.g., focus). d3.event = e; argumentz[0] = this.__data__; try { listener.apply(this, argumentz); } finally { d3.event = o; } }; } function d3_selection_onFilter(listener, argumentz) { var l = d3_selection_onListener(listener, argumentz); return function(e) { var target = this, related = e.relatedTarget; if (!related || (related !== target && !(related.compareDocumentPosition(target) & 8))) { l.call(target, e); } }; } var d3_event_dragSelect, d3_event_dragId = 0; function d3_event_dragSuppress(node) { var name = ".dragsuppress-" + ++d3_event_dragId, click = "click" + name, w = d3.select(d3_window(node)) .on("touchmove" + name, d3_eventPreventDefault) .on("dragstart" + name, d3_eventPreventDefault) .on("selectstart" + name, d3_eventPreventDefault); if (d3_event_dragSelect == null) { d3_event_dragSelect = "onselectstart" in node ? false : d3_vendorSymbol(node.style, "userSelect"); } if (d3_event_dragSelect) { var style = d3_documentElement(node).style, select = style[d3_event_dragSelect]; style[d3_event_dragSelect] = "none"; } return function(suppressClick) { w.on(name, null); if (d3_event_dragSelect) style[d3_event_dragSelect] = select; if (suppressClick) { // suppress the next click, but only if it’s immediate var off = function() { w.on(click, null); }; w.on(click, function() { d3_eventCancel(); off(); }, true); setTimeout(off, 0); } }; } d3.mouse = function(container) { return d3_mousePoint(container, d3_eventSource()); }; // https://bugs.webkit.org/show_bug.cgi?id=44083 var d3_mouse_bug44083 = this.navigator && /WebKit/.test(this.navigator.userAgent) ? -1 : 0; function d3_mousePoint(container, e) { if (e.changedTouches) e = e.changedTouches[0]; var svg = container.ownerSVGElement || container; if (svg.createSVGPoint) { var point = svg.createSVGPoint(); if (d3_mouse_bug44083 < 0) { var window = d3_window(container); if (window.scrollX || window.scrollY) { svg = d3.select("body").append("svg").style({ position: "absolute", top: 0, left: 0, margin: 0, padding: 0, border: "none" }, "important"); 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; }) : []; }; var ε = 1e-6, ε2 = ε * ε, π = Math.PI, τ = 2 * π, τε = τ - ε, halfπ = π / 2, d3_radians = π / 180, d3_degrees = 180 / π; function d3_sgn(x) { return x > 0 ? 1 : x < 0 ? -1 : 0; } // Returns the 2D cross product of AB and AC vectors, i.e., the z-component of // the 3D cross product in a quadrant I Cartesian coordinate system (+x is // right, +y is up). Returns a positive value if ABC is counter-clockwise, // negative if clockwise, and zero if the points are collinear. function d3_cross2d(a, b, c) { return (b[0] - a[0]) * (c[1] - a[1]) - (b[1] - a[1]) * (c[0] - a[0]); } function d3_acos(x) { return x > 1 ? 0 : x < -1 ? π : Math.acos(x); } function d3_asin(x) { return x > 1 ? halfπ : x < -1 ? -halfπ : Math.asin(x); } function d3_sinh(x) { return ((x = Math.exp(x)) - 1 / x) / 2; } function d3_cosh(x) { return ((x = Math.exp(x)) + 1 / x) / 2; } function d3_tanh(x) { return ((x = Math.exp(2 * x)) - 1) / (x + 1); } function d3_haversin(x) { return (x = Math.sin(x / 2)) * x; } var ρ = Math.SQRT2, ρ2 = 2, ρ4 = 4; // p0 = [ux0, uy0, w0] // p1 = [ux1, uy1, w1] d3.interpolateZoom = function(p0, p1) { var ux0 = p0[0], uy0 = p0[1], w0 = p0[2], ux1 = p1[0], uy1 = p1[1], w1 = p1[2]; var dx = ux1 - ux0, dy = uy1 - uy0, d2 = dx * dx + dy * dy, d1 = Math.sqrt(d2), b0 = (w1 * w1 - w0 * w0 + ρ4 * d2) / (2 * w0 * ρ2 * d1), b1 = (w1 * w1 - w0 * w0 - ρ4 * d2) / (2 * w1 * ρ2 * d1), r0 = Math.log(Math.sqrt(b0 * b0 + 1) - b0), r1 = Math.log(Math.sqrt(b1 * b1 + 1) - b1), dr = r1 - r0, S = (dr || Math.log(w1 / w0)) / ρ; function interpolate(t) { var s = t * S; if (dr) { // General case. var coshr0 = d3_cosh(r0), u = w0 / (ρ2 * d1) * (coshr0 * d3_tanh(ρ * s + r0) - d3_sinh(r0)); return [ ux0 + u * dx, uy0 + u * dy, w0 * coshr0 / d3_cosh(ρ * s + r0) ]; } // Special case for u0 ~= u1. return [ ux0 + t * dx, uy0 + t * dy, w0 * Math.exp(ρ * s) ]; } interpolate.duration = S * 1000; return interpolate; }; d3.behavior.zoom = function() { var view = {x: 0, y: 0, k: 1}, translate0, // translate when we started zooming (to avoid drift) center0, // implicit desired position of translate0 after zooming center, // explicit desired position of translate0 after zooming size = [960, 500], // viewport size; required for zoom interpolation scaleExtent = d3_behavior_zoomInfinity, duration = 250, zooming = 0, mousedown = "mousedown.zoom", mousemove = "mousemove.zoom", mouseup = "mouseup.zoom", mousewheelTimer, touchstart = "touchstart.zoom", touchtime, // time of last touchstart (to detect double-tap) event = d3_eventDispatch(zoom, "zoomstart", "zoom", "zoomend"), x0, x1, y0, y1; // Lazily determine the DOM’s support for Wheel events. // https://developer.mozilla.org/en-US/docs/Mozilla_event_reference/wheel if (!d3_behavior_zoomWheel) { d3_behavior_zoomWheel = "onwheel" in d3_document ? (d3_behavior_zoomDelta = function() { return -d3.event.deltaY * (d3.event.deltaMode ? 120 : 1); }, "wheel") : "onmousewheel" in d3_document ? (d3_behavior_zoomDelta = function() { return d3.event.wheelDelta; }, "mousewheel") : (d3_behavior_zoomDelta = function() { return -d3.event.detail; }, "MozMousePixelScroll"); } function zoom(g) { g .on(mousedown, mousedowned) .on(d3_behavior_zoomWheel + ".zoom", mousewheeled) .on("dblclick.zoom", dblclicked) .on(touchstart, touchstarted); } zoom.event = function(g) { g.each(function() { var dispatch = event.of(this, arguments), view1 = view; if (d3_transitionInheritId) { d3.select(this).transition() .each("start.zoom", function() { view = this.__chart__ || {x: 0, y: 0, k: 1}; // pre-transition state zoomstarted(dispatch); }) .tween("zoom:zoom", function() { var dx = size[0], dy = size[1], cx = center0 ? center0[0] : dx / 2, cy = center0 ? center0[1] : dy / 2, i = d3.interpolateZoom( [(cx - view.x) / view.k, (cy - view.y) / view.k, dx / view.k], [(cx - view1.x) / view1.k, (cy - view1.y) / view1.k, dx / view1.k] ); return function(t) { var l = i(t), k = dx / l[2]; this.__chart__ = view = {x: cx - l[0] * k, y: cy - l[1] * k, k: k}; zoomed(dispatch); }; }) .each("interrupt.zoom", function() { zoomended(dispatch); }) .each("end.zoom", function() { zoomended(dispatch); }); } else { this.__chart__ = view; zoomstarted(dispatch); zoomed(dispatch); zoomended(dispatch); } }); } zoom.translate = function(_) { if (!arguments.length) return [view.x, view.y]; view = {x: +_[0], y: +_[1], k: view.k}; // copy-on-write rescale(); return zoom; }; zoom.scale = function(_) { if (!arguments.length) return view.k; view = {x: view.x, y: view.y, k: +_}; // copy-on-write rescale(); return zoom; }; zoom.scaleExtent = function(_) { if (!arguments.length) return scaleExtent; scaleExtent = _ == null ? d3_behavior_zoomInfinity : [+_[0], +_[1]]; return zoom; }; zoom.center = function(_) { if (!arguments.length) return center; center = _ && [+_[0], +_[1]]; return zoom; }; zoom.size = function(_) { if (!arguments.length) return size; size = _ && [+_[0], +_[1]]; return zoom; }; zoom.duration = function(_) { if (!arguments.length) return duration; duration = +_; // TODO function based on interpolateZoom distance? return zoom; }; zoom.x = function(z) { if (!arguments.length) return x1; x1 = z; x0 = z.copy(); view = {x: 0, y: 0, k: 1}; // copy-on-write return zoom; }; zoom.y = function(z) { if (!arguments.length) return y1; y1 = z; y0 = z.copy(); view = {x: 0, y: 0, k: 1}; // copy-on-write return zoom; }; function location(p) { return [(p[0] - view.x) / view.k, (p[1] - view.y) / view.k]; } function point(l) { return [l[0] * view.k + view.x, l[1] * view.k + view.y]; } function scaleTo(s) { view.k = Math.max(scaleExtent[0], Math.min(scaleExtent[1], s)); } function translateTo(p, l) { l = point(l); view.x += p[0] - l[0]; view.y += p[1] - l[1]; } function zoomTo(that, p, l, k) { that.__chart__ = {x: view.x, y: view.y, k: view.k}; scaleTo(Math.pow(2, k)); translateTo(center0 = p, l); that = d3.select(that); if (duration > 0) that = that.transition().duration(duration); that.call(zoom.event); } function rescale() { if (x1) x1.domain(x0.range().map(function(x) { return (x - view.x) / view.k; }).map(x0.invert)); if (y1) y1.domain(y0.range().map(function(y) { return (y - view.y) / view.k; }).map(y0.invert)); } function zoomstarted(dispatch) { if (!zooming++) dispatch({type: "zoomstart"}); } function zoomed(dispatch) { rescale(); dispatch({type: "zoom", scale: view.k, translate: [view.x, view.y]}); } function zoomended(dispatch) { if (!--zooming) dispatch({type: "zoomend"}); center0 = null; } function mousedowned() { var that = this, target = d3.event.target, dispatch = event.of(that, arguments), dragged = 0, subject = d3.select(d3_window(that)).on(mousemove, moved).on(mouseup, ended), location0 = location(d3.mouse(that)), dragRestore = d3_event_dragSuppress(that); d3_selection_interrupt.call(that); zoomstarted(dispatch); function moved() { dragged = 1; translateTo(d3.mouse(that), location0); zoomed(dispatch); } function ended() { subject.on(mousemove, null).on(mouseup, null); dragRestore(dragged && d3.event.target === target); zoomended(dispatch); } } // These closures persist for as long as at least one touch is active. function touchstarted() { var that = this, dispatch = event.of(that, arguments), locations0 = {}, // touchstart locations distance0 = 0, // distance² between initial touches scale0, // scale when we started touching zoomName = ".zoom-" + d3.event.changedTouches[0].identifier, touchmove = "touchmove" + zoomName, touchend = "touchend" + zoomName, targets = [], subject = d3.select(that), dragRestore = d3_event_dragSuppress(that); started(); zoomstarted(dispatch); // Workaround for Chrome issue 412723: the touchstart listener must be set // after the touchmove listener. subject.on(mousedown, null).on(touchstart, started); // prevent duplicate events // Updates locations of any touches in locations0. function relocate() { var touches = d3.touches(that); scale0 = view.k; touches.forEach(function(t) { if (t.identifier in locations0) locations0[t.identifier] = location(t); }); return touches; } // Temporarily override touchstart while gesture is active. function started() { // Listen for touchmove and touchend on the target of touchstart. var target = d3.event.target; d3.select(target).on(touchmove, moved).on(touchend, ended); targets.push(target); // Only track touches started on the same subject element. var changed = d3.event.changedTouches; for (var i = 0, n = changed.length; i < n; ++i) { locations0[changed[i].identifier] = null; } var touches = relocate(), now = Date.now(); if (touches.length === 1) { if (now - touchtime < 500) { // dbltap var p = touches[0]; zoomTo(that, p, locations0[p.identifier], Math.floor(Math.log(view.k) / Math.LN2) + 1); d3_eventPreventDefault(); } touchtime = now; } else if (touches.length > 1) { var p = touches[0], q = touches[1], dx = p[0] - q[0], dy = p[1] - q[1]; distance0 = dx * dx + dy * dy; } } function moved() { var touches = d3.touches(that), p0, l0, p1, l1; d3_selection_interrupt.call(that); for (var i = 0, n = touches.length; i < n; ++i, l1 = null) { p1 = touches[i]; if (l1 = locations0[p1.identifier]) { if (l0) break; p0 = p1, l0 = l1; } } if (l1) { var distance1 = (distance1 = p1[0] - p0[0]) * distance1 + (distance1 = p1[1] - p0[1]) * distance1, scale1 = distance0 && Math.sqrt(distance1 / distance0); p0 = [(p0[0] + p1[0]) / 2, (p0[1] + p1[1]) / 2]; l0 = [(l0[0] + l1[0]) / 2, (l0[1] + l1[1]) / 2]; scaleTo(scale1 * scale0); } touchtime = null; translateTo(p0, l0); zoomed(dispatch); } function ended() { // If there are any globally-active touches remaining, remove the ended // touches from locations0. if (d3.event.touches.length) { var changed = d3.event.changedTouches; for (var i = 0, n = changed.length; i < n; ++i) { delete locations0[changed[i].identifier]; } // If locations0 is not empty, then relocate and continue listening for // touchmove and touchend. for (var identifier in locations0) { return void relocate(); // locations may have detached due to rotation } } // Otherwise, remove touchmove and touchend listeners. d3.selectAll(targets).on(zoomName, null); subject.on(mousedown, mousedowned).on(touchstart, touchstarted); dragRestore(); zoomended(dispatch); } } function mousewheeled() { var dispatch = event.of(this, arguments); if (mousewheelTimer) clearTimeout(mousewheelTimer); else translate0 = location(center0 = center || d3.mouse(this)), d3_selection_interrupt.call(this), zoomstarted(dispatch); mousewheelTimer = setTimeout(function() { mousewheelTimer = null; zoomended(dispatch); }, 50); d3_eventPreventDefault(); scaleTo(Math.pow(2, d3_behavior_zoomDelta() * .002) * view.k); translateTo(center0, translate0); zoomed(dispatch); } function dblclicked() { var p = d3.mouse(this), k = Math.log(view.k) / Math.LN2; zoomTo(this, p, location(p), d3.event.shiftKey ? Math.ceil(k) - 1 : Math.floor(k) + 1); } return d3.rebind(zoom, event, "on"); }; var d3_behavior_zoomInfinity = [0, Infinity], // default scale extent d3_behavior_zoomDelta, // initialized lazily d3_behavior_zoomWheel; function d3_functor(v) { return typeof v === "function" ? v : function() { return v; }; } d3.functor = d3_functor; d3.touch = function(container, touches, identifier) { if (arguments.length < 3) identifier = touches, touches = d3_eventSource().changedTouches; if (touches) for (var i = 0, n = touches.length, touch; i < n; ++i) { if ((touch = touches[i]).identifier === identifier) { return d3_mousePoint(container, touch); } } }; var d3_timer_queueHead, d3_timer_queueTail, d3_timer_interval, // is an interval (or frame) active? d3_timer_timeout, // is a timeout active? d3_timer_active, // active timer object d3_timer_frame = this[d3_vendorSymbol(this, "requestAnimationFrame")] || function(callback) { setTimeout(callback, 17); }; // The timer will continue to fire until callback returns true. d3.timer = function(callback, delay, then) { var n = arguments.length; if (n < 2) delay = 0; if (n < 3) then = Date.now(); // Add the callback to the tail of the queue. var time = then + delay, timer = {c: callback, t: time, f: false, n: null}; if (d3_timer_queueTail) d3_timer_queueTail.n = timer; else d3_timer_queueHead = timer; d3_timer_queueTail = timer; // 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 now = d3_timer_mark(), delay = d3_timer_sweep() - 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() { d3_timer_mark(); d3_timer_sweep(); }; function d3_timer_mark() { var now = Date.now(); d3_timer_active = d3_timer_queueHead; while (d3_timer_active) { if (now >= d3_timer_active.t) d3_timer_active.f = d3_timer_active.c(now - d3_timer_active.t); d3_timer_active = d3_timer_active.n; } return now; } // Flush after callbacks to avoid concurrent queue modification. // Returns the time of the earliest active timer, post-sweep. function d3_timer_sweep() { var t0, t1 = d3_timer_queueHead, time = Infinity; while (t1) { if (t1.f) { t1 = t0 ? t0.n = t1.n : d3_timer_queueHead = t1.n; } else { if (t1.t < time) time = t1.t; t1 = (t0 = t1).n; } } d3_timer_queueTail = t0; return time; } d3.geo = {}; d3.geo.stream = function(object, listener) { if (object && d3_geo_streamObjectType.hasOwnProperty(object.type)) { d3_geo_streamObjectType[object.type](object, listener); } else { d3_geo_streamGeometry(object, listener); } }; function d3_geo_streamGeometry(geometry, listener) { if (geometry && d3_geo_streamGeometryType.hasOwnProperty(geometry.type)) { d3_geo_streamGeometryType[geometry.type](geometry, listener); } } var d3_geo_streamObjectType = { Feature: function(feature, listener) { d3_geo_streamGeometry(feature.geometry, listener); }, FeatureCollection: function(object, listener) { var features = object.features, i = -1, n = features.length; while (++i < n) d3_geo_streamGeometry(features[i].geometry, listener); } }; var d3_geo_streamGeometryType = { Sphere: function(object, listener) { listener.sphere(); }, Point: function(object, listener) { object = object.coordinates; listener.point(object[0], object[1], object[2]); }, MultiPoint: function(object, listener) { var coordinates = object.coordinates, i = -1, n = coordinates.length; while (++i < n) object = coordinates[i], listener.point(object[0], object[1], object[2]); }, LineString: function(object, listener) { d3_geo_streamLine(object.coordinates, listener, 0); }, MultiLineString: function(object, listener) { var coordinates = object.coordinates, i = -1, n = coordinates.length; while (++i < n) d3_geo_streamLine(coordinates[i], listener, 0); }, Polygon: function(object, listener) { d3_geo_streamPolygon(object.coordinates, listener); }, MultiPolygon: function(object, listener) { var coordinates = object.coordinates, i = -1, n = coordinates.length; while (++i < n) d3_geo_streamPolygon(coordinates[i], listener); }, GeometryCollection: function(object, listener) { var geometries = object.geometries, i = -1, n = geometries.length; while (++i < n) d3_geo_streamGeometry(geometries[i], listener); } }; function d3_geo_streamLine(coordinates, listener, closed) { var i = -1, n = coordinates.length - closed, coordinate; listener.lineStart(); while (++i < n) coordinate = coordinates[i], listener.point(coordinate[0], coordinate[1], coordinate[2]); listener.lineEnd(); } function d3_geo_streamPolygon(coordinates, listener) { var i = -1, n = coordinates.length; listener.polygonStart(); while (++i < n) d3_geo_streamLine(coordinates[i], listener, 1); listener.polygonEnd(); } d3.geo.length = function(object) { d3_geo_lengthSum = 0; d3.geo.stream(object, d3_geo_length); return d3_geo_lengthSum; }; var d3_geo_lengthSum; var d3_geo_length = { sphere: d3_noop, point: d3_noop, lineStart: d3_geo_lengthLineStart, lineEnd: d3_noop, polygonStart: d3_noop, polygonEnd: d3_noop }; function d3_geo_lengthLineStart() { var λ0, sinφ0, cosφ0; d3_geo_length.point = function(λ, φ) { λ0 = λ * d3_radians, sinφ0 = Math.sin(φ *= d3_radians), cosφ0 = Math.cos(φ); d3_geo_length.point = nextPoint; }; d3_geo_length.lineEnd = function() { d3_geo_length.point = d3_geo_length.lineEnd = d3_noop; }; function nextPoint(λ, φ) { var sinφ = Math.sin(φ *= d3_radians), cosφ = Math.cos(φ), t = abs((λ *= d3_radians) - λ0), cosΔλ = Math.cos(t); d3_geo_lengthSum += Math.atan2(Math.sqrt((t = cosφ * Math.sin(t)) * t + (t = cosφ0 * sinφ - sinφ0 * cosφ * cosΔλ) * t), sinφ0 * sinφ + cosφ0 * cosφ * cosΔλ); λ0 = λ, sinφ0 = sinφ, cosφ0 = cosφ; } } function d3_identity(d) { return d; } function d3_true() { return true; } function d3_geo_spherical(cartesian) { return [ Math.atan2(cartesian[1], cartesian[0]), d3_asin(cartesian[2]) ]; } function d3_geo_sphericalEqual(a, b) { return abs(a[0] - b[0]) < ε && abs(a[1] - b[1]) < ε; } // General spherical polygon clipping algorithm: takes a polygon, cuts it into // visible line segments and rejoins the segments by interpolating along the // clip edge. function d3_geo_clipPolygon(segments, compare, clipStartInside, interpolate, listener) { var subject = [], clip = []; segments.forEach(function(segment) { if ((n = segment.length - 1) <= 0) return; var n, p0 = segment[0], p1 = segment[n]; // If the first and last points of a segment are coincident, then treat as // a closed ring. // TODO if all rings are closed, then the winding order of the exterior // ring should be checked. if (d3_geo_sphericalEqual(p0, p1)) { listener.lineStart(); for (var i = 0; i < n; ++i) listener.point((p0 = segment[i])[0], p0[1]); listener.lineEnd(); return; } var a = new d3_geo_clipPolygonIntersection(p0, segment, null, true), b = new d3_geo_clipPolygonIntersection(p0, null, a, false); a.o = b; subject.push(a); clip.push(b); a = new d3_geo_clipPolygonIntersection(p1, segment, null, false); b = new d3_geo_clipPolygonIntersection(p1, null, a, true); a.o = b; subject.push(a); clip.push(b); }); clip.sort(compare); d3_geo_clipPolygonLinkCircular(subject); d3_geo_clipPolygonLinkCircular(clip); if (!subject.length) return; for (var i = 0, entry = clipStartInside, n = clip.length; i < n; ++i) { clip[i].e = entry = !entry; } var start = subject[0], points, point; while (1) { // Find first unvisited intersection. var current = start, isSubject = true; while (current.v) if ((current = current.n) === start) return; points = current.z; listener.lineStart(); do { current.v = current.o.v = true; if (current.e) { if (isSubject) { for (var i = 0, n = points.length; i < n; ++i) listener.point((point = points[i])[0], point[1]); } else { interpolate(current.x, current.n.x, 1, listener); } current = current.n; } else { if (isSubject) { points = current.p.z; for (var i = points.length - 1; i >= 0; --i) listener.point((point = points[i])[0], point[1]); } else { interpolate(current.x, current.p.x, -1, listener); } current = current.p; } current = current.o; points = current.z; isSubject = !isSubject; } while (!current.v); listener.lineEnd(); } } function d3_geo_clipPolygonLinkCircular(array) { if (!(n = array.length)) return; var n, i = 0, a = array[0], b; while (++i < n) { a.n = b = array[i]; b.p = a; a = b; } a.n = b = array[0]; b.p = a; } function d3_geo_clipPolygonIntersection(point, points, other, entry) { this.x = point; this.z = points; this.o = other; // another intersection this.e = entry; // is an entry? this.v = false; // visited this.n = this.p = null; // next & previous } function d3_geo_clip(pointVisible, clipLine, interpolate, clipStart) { return function(rotate, listener) { var line = clipLine(listener), rotatedClipStart = rotate.invert(clipStart[0], clipStart[1]); var clip = { point: point, lineStart: lineStart, lineEnd: lineEnd, polygonStart: function() { clip.point = pointRing; clip.lineStart = ringStart; clip.lineEnd = ringEnd; segments = []; polygon = []; }, polygonEnd: function() { clip.point = point; clip.lineStart = lineStart; clip.lineEnd = lineEnd; segments = d3.merge(segments); var clipStartInside = d3_geo_pointInPolygon(rotatedClipStart, polygon); if (segments.length) { if (!polygonStarted) listener.polygonStart(), polygonStarted = true; d3_geo_clipPolygon(segments, d3_geo_clipSort, clipStartInside, interpolate, listener); } else if (clipStartInside) { if (!polygonStarted) listener.polygonStart(), polygonStarted = true; listener.lineStart(); interpolate(null, null, 1, listener); listener.lineEnd(); } if (polygonStarted) listener.polygonEnd(), polygonStarted = false; segments = polygon = null; }, sphere: function() { listener.polygonStart(); listener.lineStart(); interpolate(null, null, 1, listener); listener.lineEnd(); listener.polygonEnd(); } }; function point(λ, φ) { var point = rotate(λ, φ); if (pointVisible(λ = point[0], φ = point[1])) listener.point(λ, φ); } function pointLine(λ, φ) { var point = rotate(λ, φ); line.point(point[0], point[1]); } function lineStart() { clip.point = pointLine; line.lineStart(); } function lineEnd() { clip.point = point; line.lineEnd(); } var segments; var buffer = d3_geo_clipBufferListener(), ringListener = clipLine(buffer), polygonStarted = false, polygon, ring; function pointRing(λ, φ) { ring.push([λ, φ]); var point = rotate(λ, φ); ringListener.point(point[0], point[1]); } function ringStart() { ringListener.lineStart(); ring = []; } function ringEnd() { pointRing(ring[0][0], ring[0][1]); ringListener.lineEnd(); var clean = ringListener.clean(), ringSegments = buffer.buffer(), segment, n = ringSegments.length; ring.pop(); polygon.push(ring); ring = null; if (!n) return; // No intersections. if (clean & 1) { segment = ringSegments[0]; var n = segment.length - 1, i = -1, point; if (n > 0) { if (!polygonStarted) listener.polygonStart(), polygonStarted = true; listener.lineStart(); while (++i < n) listener.point((point = segment[i])[0], point[1]); listener.lineEnd(); } return; } // Rejoin connected segments. // TODO reuse bufferListener.rejoin()? if (n > 1 && clean & 2) ringSegments.push(ringSegments.pop().concat(ringSegments.shift())); segments.push(ringSegments.filter(d3_geo_clipSegmentLength1)); } return clip; }; } function d3_geo_clipSegmentLength1(segment) { return segment.length > 1; } function d3_geo_clipBufferListener() { var lines = [], line; return { lineStart: function() { lines.push(line = []); }, point: function(λ, φ) { line.push([λ, φ]); }, lineEnd: d3_noop, buffer: function() { var buffer = lines; lines = []; line = null; return buffer; }, rejoin: function() { if (lines.length > 1) lines.push(lines.pop().concat(lines.shift())); } }; } // Intersection points are sorted along the clip edge. For both antimeridian // cutting and circle clipping, the same comparison is used. function d3_geo_clipSort(a, b) { return ((a = a.x)[0] < 0 ? a[1] - halfπ - ε : halfπ - a[1]) - ((b = b.x)[0] < 0 ? b[1] - halfπ - ε : halfπ - b[1]); } var d3_geo_clipAntimeridian = d3_geo_clip( d3_true, d3_geo_clipAntimeridianLine, d3_geo_clipAntimeridianInterpolate, [-π, -π / 2]); // Takes a line and cuts into visible segments. Return values: // 0: there were intersections or the line was empty. // 1: no intersections. // 2: there were intersections, and the first and last segments should be // rejoined. function d3_geo_clipAntimeridianLine(listener) { var λ0 = NaN, φ0 = NaN, sλ0 = NaN, clean; // no intersections return { lineStart: function() { listener.lineStart(); clean = 1; }, point: function(λ1, φ1) { var sλ1 = λ1 > 0 ? π : -π, dλ = abs(λ1 - λ0); if (abs(dλ - π) < ε) { // line crosses a pole listener.point(λ0, φ0 = (φ0 + φ1) / 2 > 0 ? halfπ : -halfπ); listener.point(sλ0, φ0); listener.lineEnd(); listener.lineStart(); listener.point(sλ1, φ0); listener.point(λ1, φ0); clean = 0; } else if (sλ0 !== sλ1 && dλ >= π) { // line crosses antimeridian // handle degeneracies if (abs(λ0 - sλ0) < ε) λ0 -= sλ0 * ε; if (abs(λ1 - sλ1) < ε) λ1 -= sλ1 * ε; φ0 = d3_geo_clipAntimeridianIntersect(λ0, φ0, λ1, φ1); listener.point(sλ0, φ0); listener.lineEnd(); listener.lineStart(); listener.point(sλ1, φ0); clean = 0; } listener.point(λ0 = λ1, φ0 = φ1); sλ0 = sλ1; }, lineEnd: function() { listener.lineEnd(); λ0 = φ0 = NaN; }, // if there are intersections, we always rejoin the first and last segments. clean: function() { return 2 - clean; } }; } function d3_geo_clipAntimeridianIntersect(λ0, φ0, λ1, φ1) { var cosφ0, cosφ1, sinλ0_λ1 = Math.sin(λ0 - λ1); return abs(sinλ0_λ1) > ε ? Math.atan((Math.sin(φ0) * (cosφ1 = Math.cos(φ1)) * Math.sin(λ1) - Math.sin(φ1) * (cosφ0 = Math.cos(φ0)) * Math.sin(λ0)) / (cosφ0 * cosφ1 * sinλ0_λ1)) : (φ0 + φ1) / 2; } function d3_geo_clipAntimeridianInterpolate(from, to, direction, listener) { var φ; if (from == null) { φ = direction * halfπ; listener.point(-π, φ); listener.point( 0, φ); listener.point( π, φ); listener.point( π, 0); listener.point( π, -φ); listener.point( 0, -φ); listener.point(-π, -φ); listener.point(-π, 0); listener.point(-π, φ); } else if (abs(from[0] - to[0]) > ε) { var s = from[0] < to[0] ? π : -π; φ = direction * s / 2; listener.point(-s, φ); listener.point( 0, φ); listener.point( s, φ); } else { listener.point(to[0], to[1]); } } // TODO // cross and scale return new vectors, // whereas add and normalize operate in-place function d3_geo_cartesian(spherical) { var λ = spherical[0], φ = spherical[1], cosφ = Math.cos(φ); return [ cosφ * Math.cos(λ), cosφ * Math.sin(λ), Math.sin(φ) ]; } function d3_geo_cartesianDot(a, b) { return a[0] * b[0] + a[1] * b[1] + a[2] * b[2]; } function d3_geo_cartesianCross(a, b) { return [ a[1] * b[2] - a[2] * b[1], a[2] * b[0] - a[0] * b[2], a[0] * b[1] - a[1] * b[0] ]; } function d3_geo_cartesianAdd(a, b) { a[0] += b[0]; a[1] += b[1]; a[2] += b[2]; } function d3_geo_cartesianScale(vector, k) { return [ vector[0] * k, vector[1] * k, vector[2] * k ]; } function d3_geo_cartesianNormalize(d) { var l = Math.sqrt(d[0] * d[0] + d[1] * d[1] + d[2] * d[2]); d[0] /= l; d[1] /= l; d[2] /= l; } function d3_geo_compose(a, b) { function compose(x, y) { return x = a(x, y), b(x[0], x[1]); } if (a.invert && b.invert) compose.invert = function(x, y) { return x = b.invert(x, y), x && a.invert(x[0], x[1]); }; return compose; } function d3_geo_equirectangular(λ, φ) { return [λ, φ]; } (d3.geo.equirectangular = function() { return d3_geo_projection(d3_geo_equirectangular); }).raw = d3_geo_equirectangular.invert = d3_geo_equirectangular; d3.geo.rotation = function(rotate) { rotate = d3_geo_rotation(rotate[0] % 360 * d3_radians, rotate[1] * d3_radians, rotate.length > 2 ? rotate[2] * d3_radians : 0); function forward(coordinates) { coordinates = rotate(coordinates[0] * d3_radians, coordinates[1] * d3_radians); return coordinates[0] *= d3_degrees, coordinates[1] *= d3_degrees, coordinates; } forward.invert = function(coordinates) { coordinates = rotate.invert(coordinates[0] * d3_radians, coordinates[1] * d3_radians); return coordinates[0] *= d3_degrees, coordinates[1] *= d3_degrees, coordinates; }; return forward; }; function d3_geo_identityRotation(λ, φ) { return [λ > π ? λ - τ : λ < -π ? λ + τ : λ, φ]; } d3_geo_identityRotation.invert = d3_geo_equirectangular; // Note: |δλ| must be < 2π function d3_geo_rotation(δλ, δφ, δγ) { return δλ ? (δφ || δγ ? d3_geo_compose(d3_geo_rotationλ(δλ), d3_geo_rotationφγ(δφ, δγ)) : d3_geo_rotationλ(δλ)) : (δφ || δγ ? d3_geo_rotationφγ(δφ, δγ) : d3_geo_identityRotation); } function d3_geo_forwardRotationλ(δλ) { return function(λ, φ) { return λ += δλ, [λ > π ? λ - τ : λ < -π ? λ + τ : λ, φ]; }; } function d3_geo_rotationλ(δλ) { var rotation = d3_geo_forwardRotationλ(δλ); rotation.invert = d3_geo_forwardRotationλ(-δλ); return rotation; } function d3_geo_rotationφγ(δφ, δγ) { var cosδφ = Math.cos(δφ), sinδφ = Math.sin(δφ), cosδγ = Math.cos(δγ), sinδγ = Math.sin(δγ); function rotation(λ, φ) { var cosφ = Math.cos(φ), x = Math.cos(λ) * cosφ, y = Math.sin(λ) * cosφ, z = Math.sin(φ), k = z * cosδφ + x * sinδφ; return [ Math.atan2(y * cosδγ - k * sinδγ, x * cosδφ - z * sinδφ), d3_asin(k * cosδγ + y * sinδγ) ]; } rotation.invert = function(λ, φ) { var cosφ = Math.cos(φ), x = Math.cos(λ) * cosφ, y = Math.sin(λ) * cosφ, z = Math.sin(φ), k = z * cosδγ - y * sinδγ; return [ Math.atan2(y * cosδγ + z * sinδγ, x * cosδφ + k * sinδφ), d3_asin(k * cosδφ - x * sinδφ) ]; }; return rotation; } d3.geo.circle = function() { var origin = [0, 0], angle, precision = 6, interpolate; function circle() { var center = typeof origin === "function" ? origin.apply(this, arguments) : origin, rotate = d3_geo_rotation(-center[0] * d3_radians, -center[1] * d3_radians, 0).invert, ring = []; interpolate(null, null, 1, { point: function(x, y) { ring.push(x = rotate(x, y)); x[0] *= d3_degrees, x[1] *= d3_degrees; } }); return {type: "Polygon", coordinates: [ring]}; } circle.origin = function(x) { if (!arguments.length) return origin; origin = x; return circle; }; circle.angle = function(x) { if (!arguments.length) return angle; interpolate = d3_geo_circleInterpolate((angle = +x) * d3_radians, precision * d3_radians); return circle; }; circle.precision = function(_) { if (!arguments.length) return precision; interpolate = d3_geo_circleInterpolate(angle * d3_radians, (precision = +_) * d3_radians); return circle; }; return circle.angle(90); }; // Interpolates along a circle centered at [0°, 0°], with a given radius and // precision. function d3_geo_circleInterpolate(radius, precision) { var cr = Math.cos(radius), sr = Math.sin(radius); return function(from, to, direction, listener) { var step = direction * precision; if (from != null) { from = d3_geo_circleAngle(cr, from); to = d3_geo_circleAngle(cr, to); if (direction > 0 ? from < to: from > to) from += direction * τ; } else { from = radius + direction * τ; to = radius - .5 * step; } for (var point, t = from; direction > 0 ? t > to : t < to; t -= step) { listener.point((point = d3_geo_spherical([ cr, -sr * Math.cos(t), -sr * Math.sin(t) ]))[0], point[1]); } }; } // Signed angle of a cartesian point relative to [cr, 0, 0]. function d3_geo_circleAngle(cr, point) { var a = d3_geo_cartesian(point); a[0] -= cr; d3_geo_cartesianNormalize(a); var angle = d3_acos(-a[1]); return ((-a[2] < 0 ? -angle : angle) + 2 * Math.PI - ε) % (2 * Math.PI); } // Adds floating point numbers with twice the normal precision. // Reference: J. R. Shewchuk, Adaptive Precision Floating-Point Arithmetic and // Fast Robust Geometric Predicates, Discrete & Computational Geometry 18(3) // 305–363 (1997). // Code adapted from GeographicLib by Charles F. F. Karney, // http://geographiclib.sourceforge.net/ // See lib/geographiclib/LICENSE for details. function d3_adder() {} d3_adder.prototype = { s: 0, // rounded value t: 0, // exact error add: function(y) { d3_adderSum(y, this.t, d3_adderTemp); d3_adderSum(d3_adderTemp.s, this.s, this); if (this.s) this.t += d3_adderTemp.t; else this.s = d3_adderTemp.t; }, reset: function() { this.s = this.t = 0; }, valueOf: function() { return this.s; } }; var d3_adderTemp = new d3_adder; function d3_adderSum(a, b, o) { var x = o.s = a + b, // a + b bv = x - a, av = x - bv; // b_virtual & a_virtual o.t = (a - av) + (b - bv); // a_roundoff + b_roundoff } d3.geo.area = function(object) { d3_geo_areaSum = 0; d3.geo.stream(object, d3_geo_area); return d3_geo_areaSum; }; var d3_geo_areaSum, d3_geo_areaRingSum = new d3_adder; var d3_geo_area = { sphere: function() { d3_geo_areaSum += 4 * π; }, point: d3_noop, lineStart: d3_noop, lineEnd: d3_noop, // Only count area for polygon rings. polygonStart: function() { d3_geo_areaRingSum.reset(); d3_geo_area.lineStart = d3_geo_areaRingStart; }, polygonEnd: function() { var area = 2 * d3_geo_areaRingSum; d3_geo_areaSum += area < 0 ? 4 * π + area : area; d3_geo_area.lineStart = d3_geo_area.lineEnd = d3_geo_area.point = d3_noop; } }; function d3_geo_areaRingStart() { var λ00, φ00, λ0, cosφ0, sinφ0; // start point and previous point // For the first point, … d3_geo_area.point = function(λ, φ) { d3_geo_area.point = nextPoint; λ0 = (λ00 = λ) * d3_radians, cosφ0 = Math.cos(φ = (φ00 = φ) * d3_radians / 2 + π / 4), sinφ0 = Math.sin(φ); }; // For subsequent points, … function nextPoint(λ, φ) { λ *= d3_radians; φ = φ * d3_radians / 2 + π / 4; // half the angular distance from south pole // Spherical excess E for a spherical triangle with vertices: south pole, // previous point, current point. Uses a formula derived from Cagnoli’s // theorem. See Todhunter, Spherical Trig. (1871), Sec. 103, Eq. (2). var dλ = λ - λ0, sdλ = dλ >= 0 ? 1 : -1, adλ = sdλ * dλ, cosφ = Math.cos(φ), sinφ = Math.sin(φ), k = sinφ0 * sinφ, u = cosφ0 * cosφ + k * Math.cos(adλ), v = k * sdλ * Math.sin(adλ); d3_geo_areaRingSum.add(Math.atan2(v, u)); // Advance the previous points. λ0 = λ, cosφ0 = cosφ, sinφ0 = sinφ; } // For the last point, return to the start. d3_geo_area.lineEnd = function() { nextPoint(λ00, φ00); }; } function d3_geo_pointInPolygon(point, polygon) { var meridian = point[0], parallel = point[1], meridianNormal = [Math.sin(meridian), -Math.cos(meridian), 0], polarAngle = 0, winding = 0; d3_geo_areaRingSum.reset(); for (var i = 0, n = polygon.length; i < n; ++i) { var ring = polygon[i], m = ring.length; if (!m) continue; var point0 = ring[0], λ0 = point0[0], φ0 = point0[1] / 2 + π / 4, sinφ0 = Math.sin(φ0), cosφ0 = Math.cos(φ0), j = 1; while (true) { if (j === m) j = 0; point = ring[j]; var λ = point[0], φ = point[1] / 2 + π / 4, sinφ = Math.sin(φ), cosφ = Math.cos(φ), dλ = λ - λ0, sdλ = dλ >= 0 ? 1 : -1, adλ = sdλ * dλ, antimeridian = adλ > π, k = sinφ0 * sinφ; d3_geo_areaRingSum.add(Math.atan2(k * sdλ * Math.sin(adλ), cosφ0 * cosφ + k * Math.cos(adλ))); polarAngle += antimeridian ? dλ + sdλ * τ : dλ; // Are the longitudes either side of the point's meridian, and are the // latitudes smaller than the parallel? if (antimeridian ^ λ0 >= meridian ^ λ >= meridian) { var arc = d3_geo_cartesianCross(d3_geo_cartesian(point0), d3_geo_cartesian(point)); d3_geo_cartesianNormalize(arc); var intersection = d3_geo_cartesianCross(meridianNormal, arc); d3_geo_cartesianNormalize(intersection); var φarc = (antimeridian ^ dλ >= 0 ? -1 : 1) * d3_asin(intersection[2]); if (parallel > φarc || parallel === φarc && (arc[0] || arc[1])) { winding += antimeridian ^ dλ >= 0 ? 1 : -1; } } if (!j++) break; λ0 = λ, sinφ0 = sinφ, cosφ0 = cosφ, point0 = point; } } // First, determine whether the South pole is inside or outside: // // It is inside if: // * the polygon winds around it in a clockwise direction. // * the polygon does not (cumulatively) wind around it, but has a negative // (counter-clockwise) area. // // Second, count the (signed) number of times a segment crosses a meridian // from the point to the South pole. If it is zero, then the point is the // same side as the South pole. return (polarAngle < -ε || polarAngle < ε && d3_geo_areaRingSum < 0) ^ (winding & 1); } // Clip features against a small circle centered at [0°, 0°]. function d3_geo_clipCircle(radius) { var cr = Math.cos(radius), smallRadius = cr > 0, notHemisphere = abs(cr) > ε, // TODO optimise for this common case interpolate = d3_geo_circleInterpolate(radius, 6 * d3_radians); return d3_geo_clip(visible, clipLine, interpolate, smallRadius ? [0, -radius] : [-π, radius - π]); function visible(λ, φ) { return Math.cos(λ) * Math.cos(φ) > cr; } // Takes a line and cuts into visible segments. Return values used for // polygon clipping: // 0: there were intersections or the line was empty. // 1: no intersections. // 2: there were intersections, and the first and last segments should be // rejoined. function clipLine(listener) { var point0, // previous point c0, // code for previous point v0, // visibility of previous point v00, // visibility of first point clean; // no intersections return { lineStart: function() { v00 = v0 = false; clean = 1; }, point: function(λ, φ) { var point1 = [λ, φ], point2, v = visible(λ, φ), c = smallRadius ? v ? 0 : code(λ, φ) : v ? code(λ + (λ < 0 ? π : -π), φ) : 0; if (!point0 && (v00 = v0 = v)) listener.lineStart(); // Handle degeneracies. // TODO ignore if not clipping polygons. if (v !== v0) { point2 = intersect(point0, point1); if (d3_geo_sphericalEqual(point0, point2) || d3_geo_sphericalEqual(point1, point2)) { point1[0] += ε; point1[1] += ε; v = visible(point1[0], point1[1]); } } if (v !== v0) { clean = 0; if (v) { // outside going in listener.lineStart(); point2 = intersect(point1, point0); listener.point(point2[0], point2[1]); } else { // inside going out point2 = intersect(point0, point1); listener.point(point2[0], point2[1]); listener.lineEnd(); } point0 = point2; } else if (notHemisphere && point0 && smallRadius ^ v) { var t; // If the codes for two points are different, or are both zero, // and there this segment intersects with the small circle. if (!(c & c0) && (t = intersect(point1, point0, true))) { clean = 0; if (smallRadius) { listener.lineStart(); listener.point(t[0][0], t[0][1]); listener.point(t[1][0], t[1][1]); listener.lineEnd(); } else { listener.point(t[1][0], t[1][1]); listener.lineEnd(); listener.lineStart(); listener.point(t[0][0], t[0][1]); } } } if (v && (!point0 || !d3_geo_sphericalEqual(point0, point1))) { listener.point(point1[0], point1[1]); } point0 = point1, v0 = v, c0 = c; }, lineEnd: function() { if (v0) listener.lineEnd(); point0 = null; }, // Rejoin first and last segments if there were intersections and the first // and last points were visible. clean: function() { return clean | ((v00 && v0) << 1); } }; } // Intersects the great circle between a and b with the clip circle. function intersect(a, b, two) { var pa = d3_geo_cartesian(a), pb = d3_geo_cartesian(b); // We have two planes, n1.p = d1 and n2.p = d2. // Find intersection line p(t) = c1 n1 + c2 n2 + t (n1 ⨯ n2). var n1 = [1, 0, 0], // normal n2 = d3_geo_cartesianCross(pa, pb), n2n2 = d3_geo_cartesianDot(n2, n2), n1n2 = n2[0], // d3_geo_cartesianDot(n1, n2), determinant = n2n2 - n1n2 * n1n2; // Two polar points. if (!determinant) return !two && a; var c1 = cr * n2n2 / determinant, c2 = -cr * n1n2 / determinant, n1xn2 = d3_geo_cartesianCross(n1, n2), A = d3_geo_cartesianScale(n1, c1), B = d3_geo_cartesianScale(n2, c2); d3_geo_cartesianAdd(A, B); // Solve |p(t)|^2 = 1. var u = n1xn2, w = d3_geo_cartesianDot(A, u), uu = d3_geo_cartesianDot(u, u), t2 = w * w - uu * (d3_geo_cartesianDot(A, A) - 1); if (t2 < 0) return; var t = Math.sqrt(t2), q = d3_geo_cartesianScale(u, (-w - t) / uu); d3_geo_cartesianAdd(q, A); q = d3_geo_spherical(q); if (!two) return q; // Two intersection points. var λ0 = a[0], λ1 = b[0], φ0 = a[1], φ1 = b[1], z; if (λ1 < λ0) z = λ0, λ0 = λ1, λ1 = z; var δλ = λ1 - λ0, polar = abs(δλ - π) < ε, meridian = polar || δλ < ε; if (!polar && φ1 < φ0) z = φ0, φ0 = φ1, φ1 = z; // Check that the first point is between a and b. if (meridian ? polar ? φ0 + φ1 > 0 ^ q[1] < (abs(q[0] - λ0) < ε ? φ0 : φ1) : φ0 <= q[1] && q[1] <= φ1 : δλ > π ^ (λ0 <= q[0] && q[0] <= λ1)) { var q1 = d3_geo_cartesianScale(u, (-w + t) / uu); d3_geo_cartesianAdd(q1, A); return [q, d3_geo_spherical(q1)]; } } // Generates a 4-bit vector representing the location of a point relative to // the small circle's bounding box. function code(λ, φ) { var r = smallRadius ? radius : π - radius, code = 0; if (λ < -r) code |= 1; // left else if (λ > r) code |= 2; // right if (φ < -r) code |= 4; // below else if (φ > r) code |= 8; // above return code; } } // Liang–Barsky line clipping. function d3_geom_clipLine(x0, y0, x1, y1) { return function(line) { var a = line.a, b = line.b, ax = a.x, ay = a.y, bx = b.x, by = b.y, t0 = 0, t1 = 1, dx = bx - ax, dy = by - ay, r; r = x0 - ax; if (!dx && r > 0) return; r /= dx; if (dx < 0) { if (r < t0) return; if (r < t1) t1 = r; } else if (dx > 0) { if (r > t1) return; if (r > t0) t0 = r; } r = x1 - ax; if (!dx && r < 0) return; r /= dx; if (dx < 0) { if (r > t1) return; if (r > t0) t0 = r; } else if (dx > 0) { if (r < t0) return; if (r < t1) t1 = r; } r = y0 - ay; if (!dy && r > 0) return; r /= dy; if (dy < 0) { if (r < t0) return; if (r < t1) t1 = r; } else if (dy > 0) { if (r > t1) return; if (r > t0) t0 = r; } r = y1 - ay; if (!dy && r < 0) return; r /= dy; if (dy < 0) { if (r > t1) return; if (r > t0) t0 = r; } else if (dy > 0) { if (r < t0) return; if (r < t1) t1 = r; } if (t0 > 0) line.a = {x: ax + t0 * dx, y: ay + t0 * dy}; if (t1 < 1) line.b = {x: ax + t1 * dx, y: ay + t1 * dy}; return line; }; } var d3_geo_clipExtentMAX = 1e9; d3.geo.clipExtent = function() { var x0, y0, x1, y1, stream, clip, clipExtent = { stream: function(output) { if (stream) stream.valid = false; stream = clip(output); stream.valid = true; // allow caching by d3.geo.path return stream; }, extent: function(_) { if (!arguments.length) return [[x0, y0], [x1, y1]]; clip = d3_geo_clipExtent(x0 = +_[0][0], y0 = +_[0][1], x1 = +_[1][0], y1 = +_[1][1]); if (stream) stream.valid = false, stream = null; return clipExtent; } }; return clipExtent.extent([[0, 0], [960, 500]]); }; function d3_geo_clipExtent(x0, y0, x1, y1) { return function(listener) { var listener_ = listener, bufferListener = d3_geo_clipBufferListener(), clipLine = d3_geom_clipLine(x0, y0, x1, y1), segments, polygon, ring; var clip = { point: point, lineStart: lineStart, lineEnd: lineEnd, polygonStart: function() { listener = bufferListener; segments = []; polygon = []; clean = true; }, polygonEnd: function() { listener = listener_; segments = d3.merge(segments); var clipStartInside = insidePolygon([x0, y1]), inside = clean && clipStartInside, visible = segments.length; if (inside || visible) { listener.polygonStart(); if (inside) { listener.lineStart(); interpolate(null, null, 1, listener); listener.lineEnd(); } if (visible) { d3_geo_clipPolygon(segments, compare, clipStartInside, interpolate, listener); } listener.polygonEnd(); } segments = polygon = ring = null; } }; function insidePolygon(p) { var wn = 0, // the winding number counter n = polygon.length, y = p[1]; for (var i = 0; i < n; ++i) { for (var j = 1, v = polygon[i], m = v.length, a = v[0], b; j < m; ++j) { b = v[j]; if (a[1] <= y) { if (b[1] > y && d3_cross2d(a, b, p) > 0) ++wn; } else { if (b[1] <= y && d3_cross2d(a, b, p) < 0) --wn; } a = b; } } return wn !== 0; } function interpolate(from, to, direction, listener) { var a = 0, a1 = 0; if (from == null || (a = corner(from, direction)) !== (a1 = corner(to, direction)) || comparePoints(from, to) < 0 ^ direction > 0) { do { listener.point(a === 0 || a === 3 ? x0 : x1, a > 1 ? y1 : y0); } while ((a = (a + direction + 4) % 4) !== a1); } else { listener.point(to[0], to[1]); } } function pointVisible(x, y) { return x0 <= x && x <= x1 && y0 <= y && y <= y1; } function point(x, y) { if (pointVisible(x, y)) listener.point(x, y); } var x__, y__, v__, // first point x_, y_, v_, // previous point first, clean; function lineStart() { clip.point = linePoint; if (polygon) polygon.push(ring = []); first = true; v_ = false; x_ = y_ = NaN; } function lineEnd() { // TODO rather than special-case polygons, simply handle them separately. // Ideally, coincident intersection points should be jittered to avoid // clipping issues. if (segments) { linePoint(x__, y__); if (v__ && v_) bufferListener.rejoin(); segments.push(bufferListener.buffer()); } clip.point = point; if (v_) listener.lineEnd(); } function linePoint(x, y) { x = Math.max(-d3_geo_clipExtentMAX, Math.min(d3_geo_clipExtentMAX, x)); y = Math.max(-d3_geo_clipExtentMAX, Math.min(d3_geo_clipExtentMAX, y)); var v = pointVisible(x, y); if (polygon) ring.push([x, y]); if (first) { x__ = x, y__ = y, v__ = v; first = false; if (v) { listener.lineStart(); listener.point(x, y); } } else { if (v && v_) listener.point(x, y); else { var l = {a: {x: x_, y: y_}, b: {x: x, y: y}}; if (clipLine(l)) { if (!v_) { listener.lineStart(); listener.point(l.a.x, l.a.y); } listener.point(l.b.x, l.b.y); if (!v) listener.lineEnd(); clean = false; } else if (v) { listener.lineStart(); listener.point(x, y); clean = false; } } } x_ = x, y_ = y, v_ = v; } return clip; }; function corner(p, direction) { return abs(p[0] - x0) < ε ? direction > 0 ? 0 : 3 : abs(p[0] - x1) < ε ? direction > 0 ? 2 : 1 : abs(p[1] - y0) < ε ? direction > 0 ? 1 : 0 : direction > 0 ? 3 : 2; // abs(p[1] - y1) < ε } function compare(a, b) { return comparePoints(a.x, b.x); } function comparePoints(a, b) { var ca = corner(a, 1), cb = corner(b, 1); return ca !== cb ? ca - cb : ca === 0 ? b[1] - a[1] : ca === 1 ? a[0] - b[0] : ca === 2 ? a[1] - b[1] : b[0] - a[0]; } } function d3_geo_conic(projectAt) { var φ0 = 0, φ1 = π / 3, m = d3_geo_projectionMutator(projectAt), p = m(φ0, φ1); p.parallels = function(_) { if (!arguments.length) return [φ0 / π * 180, φ1 / π * 180]; return m(φ0 = _[0] * π / 180, φ1 = _[1] * π / 180); }; return p; } function d3_geo_conicEqualArea(φ0, φ1) { var sinφ0 = Math.sin(φ0), n = (sinφ0 + Math.sin(φ1)) / 2, C = 1 + sinφ0 * (2 * n - sinφ0), ρ0 = Math.sqrt(C) / n; function forward(λ, φ) { var ρ = Math.sqrt(C - 2 * n * Math.sin(φ)) / n; return [ ρ * Math.sin(λ *= n), ρ0 - ρ * Math.cos(λ) ]; } forward.invert = function(x, y) { var ρ0_y = ρ0 - y; return [ Math.atan2(x, ρ0_y) / n, d3_asin((C - (x * x + ρ0_y * ρ0_y) * n * n) / (2 * n)) ]; }; return forward; } (d3.geo.conicEqualArea = function() { return d3_geo_conic(d3_geo_conicEqualArea); }).raw = d3_geo_conicEqualArea; // ESRI:102003 d3.geo.albers = function() { return d3.geo.conicEqualArea() .rotate([96, 0]) .center([-.6, 38.7]) .parallels([29.5, 45.5]) .scale(1070); }; // A composite projection for the United States, configured by default for // 960×500. Also works quite well at 960×600 with scale 1285. 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 d3.geo.albersUsa = function() { var lower48 = d3.geo.albers(); // EPSG:3338 var alaska = d3.geo.conicEqualArea() .rotate([154, 0]) .center([-2, 58.5]) .parallels([55, 65]); // ESRI:102007 var hawaii = d3.geo.conicEqualArea() .rotate([157, 0]) .center([-3, 19.9]) .parallels([8, 18]); var point, pointStream = {point: function(x, y) { point = [x, y]; }}, lower48Point, alaskaPoint, hawaiiPoint; function albersUsa(coordinates) { var x = coordinates[0], y = coordinates[1]; point = null; (lower48Point(x, y), point) || (alaskaPoint(x, y), point) || hawaiiPoint(x, y); return point; } albersUsa.invert = function(coordinates) { var k = lower48.scale(), t = lower48.translate(), x = (coordinates[0] - t[0]) / k, y = (coordinates[1] - t[1]) / k; return (y >= .120 && y < .234 && x >= -.425 && x < -.214 ? alaska : y >= .166 && y < .234 && x >= -.214 && x < -.115 ? hawaii : lower48).invert(coordinates); }; // A naïve multi-projection stream. // The projections must have mutually exclusive clip regions on the sphere, // as this will avoid emitting interleaving lines and polygons. albersUsa.stream = function(stream) { var lower48Stream = lower48.stream(stream), alaskaStream = alaska.stream(stream), hawaiiStream = hawaii.stream(stream); return { point: function(x, y) { lower48Stream.point(x, y); alaskaStream.point(x, y); hawaiiStream.point(x, y); }, sphere: function() { lower48Stream.sphere(); alaskaStream.sphere(); hawaiiStream.sphere(); }, lineStart: function() { lower48Stream.lineStart(); alaskaStream.lineStart(); hawaiiStream.lineStart(); }, lineEnd: function() { lower48Stream.lineEnd(); alaskaStream.lineEnd(); hawaiiStream.lineEnd(); }, polygonStart: function() { lower48Stream.polygonStart(); alaskaStream.polygonStart(); hawaiiStream.polygonStart(); }, polygonEnd: function() { lower48Stream.polygonEnd(); alaskaStream.polygonEnd(); hawaiiStream.polygonEnd(); } }; }; albersUsa.precision = function(_) { if (!arguments.length) return lower48.precision(); lower48.precision(_); alaska.precision(_); hawaii.precision(_); return albersUsa; }; albersUsa.scale = function(_) { if (!arguments.length) return lower48.scale(); lower48.scale(_); alaska.scale(_ * .35); hawaii.scale(_); return albersUsa.translate(lower48.translate()); }; albersUsa.translate = function(_) { if (!arguments.length) return lower48.translate(); var k = lower48.scale(), x = +_[0], y = +_[1]; lower48Point = lower48 .translate(_) .clipExtent([[x - .455 * k, y - .238 * k], [x + .455 * k, y + .238 * k]]) .stream(pointStream).point; alaskaPoint = alaska .translate([x - .307 * k, y + .201 * k]) .clipExtent([[x - .425 * k + ε, y + .120 * k + ε], [x - .214 * k - ε, y + .234 * k - ε]]) .stream(pointStream).point; hawaiiPoint = hawaii .translate([x - .205 * k, y + .212 * k]) .clipExtent([[x - .214 * k + ε, y + .166 * k + ε], [x - .115 * k - ε, y + .234 * k - ε]]) .stream(pointStream).point; return albersUsa; }; return albersUsa.scale(1070); }; d3.geo.bounds = (function() { var λ0, φ0, λ1, φ1, // bounds λ_, // previous λ-coordinate λ__, φ__, // first point p0, // previous 3D point dλSum, ranges, range; var bound = { point: point, lineStart: lineStart, lineEnd: lineEnd, polygonStart: function() { bound.point = ringPoint; bound.lineStart = ringStart; bound.lineEnd = ringEnd; dλSum = 0; d3_geo_area.polygonStart(); }, polygonEnd: function() { d3_geo_area.polygonEnd(); bound.point = point; bound.lineStart = lineStart; bound.lineEnd = lineEnd; if (d3_geo_areaRingSum < 0) λ0 = -(λ1 = 180), φ0 = -(φ1 = 90); else if (dλSum > ε) φ1 = 90; else if (dλSum < -ε) φ0 = -90; range[0] = λ0, range[1] = λ1; } }; function point(λ, φ) { ranges.push(range = [λ0 = λ, λ1 = λ]); if (φ < φ0) φ0 = φ; if (φ > φ1) φ1 = φ; } function linePoint(λ, φ) { var p = d3_geo_cartesian([λ * d3_radians, φ * d3_radians]); if (p0) { var normal = d3_geo_cartesianCross(p0, p), equatorial = [normal[1], -normal[0], 0], inflection = d3_geo_cartesianCross(equatorial, normal); d3_geo_cartesianNormalize(inflection); inflection = d3_geo_spherical(inflection); var dλ = λ - λ_, s = dλ > 0 ? 1 : -1, λi = inflection[0] * d3_degrees * s, antimeridian = abs(dλ) > 180; if (antimeridian ^ (s * λ_ < λi && λi < s * λ)) { var φi = inflection[1] * d3_degrees; if (φi > φ1) φ1 = φi; } else if (λi = (λi + 360) % 360 - 180, antimeridian ^ (s * λ_ < λi && λi < s * λ)) { var φi = -inflection[1] * d3_degrees; if (φi < φ0) φ0 = φi; } else { if (φ < φ0) φ0 = φ; if (φ > φ1) φ1 = φ; } if (antimeridian) { if (λ < λ_) { if (angle(λ0, λ) > angle(λ0, λ1)) λ1 = λ; } else { if (angle(λ, λ1) > angle(λ0, λ1)) λ0 = λ; } } else { if (λ1 >= λ0) { if (λ < λ0) λ0 = λ; if (λ > λ1) λ1 = λ; } else { if (λ > λ_) { if (angle(λ0, λ) > angle(λ0, λ1)) λ1 = λ; } else { if (angle(λ, λ1) > angle(λ0, λ1)) λ0 = λ; } } } } else { point(λ, φ); } p0 = p, λ_ = λ; } function lineStart() { bound.point = linePoint; } function lineEnd() { range[0] = λ0, range[1] = λ1; bound.point = point; p0 = null; } function ringPoint(λ, φ) { if (p0) { var dλ = λ - λ_; dλSum += abs(dλ) > 180 ? dλ + (dλ > 0 ? 360 : -360) : dλ; } else λ__ = λ, φ__ = φ; d3_geo_area.point(λ, φ); linePoint(λ, φ); } function ringStart() { d3_geo_area.lineStart(); } function ringEnd() { ringPoint(λ__, φ__); d3_geo_area.lineEnd(); if (abs(dλSum) > ε) λ0 = -(λ1 = 180); range[0] = λ0, range[1] = λ1; p0 = null; } // Finds the left-right distance between two longitudes. // This is almost the same as (λ1 - λ0 + 360°) % 360°, except that we want // the distance between ±180° to be 360°. function angle(λ0, λ1) { return (λ1 -= λ0) < 0 ? λ1 + 360 : λ1; } function compareRanges(a, b) { return a[0] - b[0]; } function withinRange(x, range) { return range[0] <= range[1] ? range[0] <= x && x <= range[1] : x < range[0] || range[1] < x; } return function(feature) { φ1 = λ1 = -(λ0 = φ0 = Infinity); ranges = []; d3.geo.stream(feature, bound); var n = ranges.length; if (n) { // First, sort ranges by their minimum longitudes. ranges.sort(compareRanges); // Then, merge any ranges that overlap. for (var i = 1, a = ranges[0], b, merged = [a]; i < n; ++i) { b = ranges[i]; if (withinRange(b[0], a) || withinRange(b[1], a)) { if (angle(a[0], b[1]) > angle(a[0], a[1])) a[1] = b[1]; if (angle(b[0], a[1]) > angle(a[0], a[1])) a[0] = b[0]; } else { merged.push(a = b); } } // Finally, find the largest gap between the merged ranges. // The final bounding box will be the inverse of this gap. var best = -Infinity, dλ; for (var n = merged.length - 1, i = 0, a = merged[n], b; i <= n; a = b, ++i) { b = merged[i]; if ((dλ = angle(a[1], b[0])) > best) best = dλ, λ0 = b[0], λ1 = a[1]; } } ranges = range = null; return λ0 === Infinity || φ0 === Infinity ? [[NaN, NaN], [NaN, NaN]] : [[λ0, φ0], [λ1, φ1]]; }; })(); d3.geo.centroid = function(object) { d3_geo_centroidW0 = d3_geo_centroidW1 = d3_geo_centroidX0 = d3_geo_centroidY0 = d3_geo_centroidZ0 = d3_geo_centroidX1 = d3_geo_centroidY1 = d3_geo_centroidZ1 = d3_geo_centroidX2 = d3_geo_centroidY2 = d3_geo_centroidZ2 = 0; d3.geo.stream(object, d3_geo_centroid); var x = d3_geo_centroidX2, y = d3_geo_centroidY2, z = d3_geo_centroidZ2, m = x * x + y * y + z * z; // If the area-weighted centroid is undefined, fall back to length-weighted centroid. if (m < ε2) { x = d3_geo_centroidX1, y = d3_geo_centroidY1, z = d3_geo_centroidZ1; // If the feature has zero length, fall back to arithmetic mean of point vectors. if (d3_geo_centroidW1 < ε) x = d3_geo_centroidX0, y = d3_geo_centroidY0, z = d3_geo_centroidZ0; m = x * x + y * y + z * z; // If the feature still has an undefined centroid, then return. if (m < ε2) return [NaN, NaN]; } return [Math.atan2(y, x) * d3_degrees, d3_asin(z / Math.sqrt(m)) * d3_degrees]; }; var d3_geo_centroidW0, d3_geo_centroidW1, d3_geo_centroidX0, d3_geo_centroidY0, d3_geo_centroidZ0, d3_geo_centroidX1, d3_geo_centroidY1, d3_geo_centroidZ1, d3_geo_centroidX2, d3_geo_centroidY2, d3_geo_centroidZ2; var d3_geo_centroid = { sphere: d3_noop, point: d3_geo_centroidPoint, lineStart: d3_geo_centroidLineStart, lineEnd: d3_geo_centroidLineEnd, polygonStart: function() { d3_geo_centroid.lineStart = d3_geo_centroidRingStart; }, polygonEnd: function() { d3_geo_centroid.lineStart = d3_geo_centroidLineStart; } }; // Arithmetic mean of Cartesian vectors. function d3_geo_centroidPoint(λ, φ) { λ *= d3_radians; var cosφ = Math.cos(φ *= d3_radians); d3_geo_centroidPointXYZ(cosφ * Math.cos(λ), cosφ * Math.sin(λ), Math.sin(φ)); } function d3_geo_centroidPointXYZ(x, y, z) { ++d3_geo_centroidW0; d3_geo_centroidX0 += (x - d3_geo_centroidX0) / d3_geo_centroidW0; d3_geo_centroidY0 += (y - d3_geo_centroidY0) / d3_geo_centroidW0; d3_geo_centroidZ0 += (z - d3_geo_centroidZ0) / d3_geo_centroidW0; } function d3_geo_centroidLineStart() { var x0, y0, z0; // previous point d3_geo_centroid.point = function(λ, φ) { λ *= d3_radians; var cosφ = Math.cos(φ *= d3_radians); x0 = cosφ * Math.cos(λ); y0 = cosφ * Math.sin(λ); z0 = Math.sin(φ); d3_geo_centroid.point = nextPoint; d3_geo_centroidPointXYZ(x0, y0, z0); }; function nextPoint(λ, φ) { λ *= d3_radians; var cosφ = Math.cos(φ *= d3_radians), x = cosφ * Math.cos(λ), y = cosφ * Math.sin(λ), z = Math.sin(φ), w = Math.atan2( Math.sqrt((w = y0 * z - z0 * y) * w + (w = z0 * x - x0 * z) * w + (w = x0 * y - y0 * x) * w), x0 * x + y0 * y + z0 * z); d3_geo_centroidW1 += w; d3_geo_centroidX1 += w * (x0 + (x0 = x)); d3_geo_centroidY1 += w * (y0 + (y0 = y)); d3_geo_centroidZ1 += w * (z0 + (z0 = z)); d3_geo_centroidPointXYZ(x0, y0, z0); } } function d3_geo_centroidLineEnd() { d3_geo_centroid.point = d3_geo_centroidPoint; } // See J. E. Brock, The Inertia Tensor for a Spherical Triangle, // J. Applied Mechanics 42, 239 (1975). function d3_geo_centroidRingStart() { var λ00, φ00, // first point x0, y0, z0; // previous point d3_geo_centroid.point = function(λ, φ) { λ00 = λ, φ00 = φ; d3_geo_centroid.point = nextPoint; λ *= d3_radians; var cosφ = Math.cos(φ *= d3_radians); x0 = cosφ * Math.cos(λ); y0 = cosφ * Math.sin(λ); z0 = Math.sin(φ); d3_geo_centroidPointXYZ(x0, y0, z0); }; d3_geo_centroid.lineEnd = function() { nextPoint(λ00, φ00); d3_geo_centroid.lineEnd = d3_geo_centroidLineEnd; d3_geo_centroid.point = d3_geo_centroidPoint; }; function nextPoint(λ, φ) { λ *= d3_radians; var cosφ = Math.cos(φ *= d3_radians), x = cosφ * Math.cos(λ), y = cosφ * Math.sin(λ), z = Math.sin(φ), cx = y0 * z - z0 * y, cy = z0 * x - x0 * z, cz = x0 * y - y0 * x, m = Math.sqrt(cx * cx + cy * cy + cz * cz), u = x0 * x + y0 * y + z0 * z, v = m && -d3_acos(u) / m, // area weight w = Math.atan2(m, u); // line weight d3_geo_centroidX2 += v * cx; d3_geo_centroidY2 += v * cy; d3_geo_centroidZ2 += v * cz; d3_geo_centroidW1 += w; d3_geo_centroidX1 += w * (x0 + (x0 = x)); d3_geo_centroidY1 += w * (y0 + (y0 = y)); d3_geo_centroidZ1 += w * (z0 + (z0 = z)); d3_geo_centroidPointXYZ(x0, y0, z0); } } // TODO Unify this code with d3.geom.polygon area? var d3_geo_pathAreaSum, d3_geo_pathAreaPolygon, d3_geo_pathArea = { point: d3_noop, lineStart: d3_noop, lineEnd: d3_noop, // Only count area for polygon rings. polygonStart: function() { d3_geo_pathAreaPolygon = 0; d3_geo_pathArea.lineStart = d3_geo_pathAreaRingStart; }, polygonEnd: function() { d3_geo_pathArea.lineStart = d3_geo_pathArea.lineEnd = d3_geo_pathArea.point = d3_noop; d3_geo_pathAreaSum += abs(d3_geo_pathAreaPolygon / 2); } }; function d3_geo_pathAreaRingStart() { var x00, y00, x0, y0; // For the first point, … d3_geo_pathArea.point = function(x, y) { d3_geo_pathArea.point = nextPoint; x00 = x0 = x, y00 = y0 = y; }; // For subsequent points, … function nextPoint(x, y) { d3_geo_pathAreaPolygon += y0 * x - x0 * y; x0 = x, y0 = y; } // For the last point, return to the start. d3_geo_pathArea.lineEnd = function() { nextPoint(x00, y00); }; } var d3_geo_pathBoundsX0, d3_geo_pathBoundsY0, d3_geo_pathBoundsX1, d3_geo_pathBoundsY1; var d3_geo_pathBounds = { point: d3_geo_pathBoundsPoint, lineStart: d3_noop, lineEnd: d3_noop, polygonStart: d3_noop, polygonEnd: d3_noop }; function d3_geo_pathBoundsPoint(x, y) { if (x < d3_geo_pathBoundsX0) d3_geo_pathBoundsX0 = x; if (x > d3_geo_pathBoundsX1) d3_geo_pathBoundsX1 = x; if (y < d3_geo_pathBoundsY0) d3_geo_pathBoundsY0 = y; if (y > d3_geo_pathBoundsY1) d3_geo_pathBoundsY1 = y; } function d3_geo_pathBuffer() { var pointCircle = d3_geo_pathBufferCircle(4.5), buffer = []; var stream = { point: point, // While inside a line, override point to moveTo then lineTo. lineStart: function() { stream.point = pointLineStart; }, lineEnd: lineEnd, // While inside a polygon, override lineEnd to closePath. polygonStart: function() { stream.lineEnd = lineEndPolygon; }, polygonEnd: function() { stream.lineEnd = lineEnd; stream.point = point; }, pointRadius: function(_) { pointCircle = d3_geo_pathBufferCircle(_); return stream; }, result: function() { if (buffer.length) { var result = buffer.join(""); buffer = []; return result; } } }; function point(x, y) { buffer.push("M", x, ",", y, pointCircle); } function pointLineStart(x, y) { buffer.push("M", x, ",", y); stream.point = pointLine; } function pointLine(x, y) { buffer.push("L", x, ",", y); } function lineEnd() { stream.point = point; } function lineEndPolygon() { buffer.push("Z"); } return stream; } function d3_geo_pathBufferCircle(radius) { return "m0," + radius + "a" + radius + "," + radius + " 0 1,1 0," + -2 * radius + "a" + radius + "," + radius + " 0 1,1 0," + 2 * radius + "z"; } // TODO Unify this code with d3.geom.polygon centroid? // TODO Enforce positive area for exterior, negative area for interior? var d3_geo_pathCentroid = { point: d3_geo_pathCentroidPoint, // For lines, weight by length. lineStart: d3_geo_pathCentroidLineStart, lineEnd: d3_geo_pathCentroidLineEnd, // For polygons, weight by area. polygonStart: function() { d3_geo_pathCentroid.lineStart = d3_geo_pathCentroidRingStart; }, polygonEnd: function() { d3_geo_pathCentroid.point = d3_geo_pathCentroidPoint; d3_geo_pathCentroid.lineStart = d3_geo_pathCentroidLineStart; d3_geo_pathCentroid.lineEnd = d3_geo_pathCentroidLineEnd; } }; function d3_geo_pathCentroidPoint(x, y) { d3_geo_centroidX0 += x; d3_geo_centroidY0 += y; ++d3_geo_centroidZ0; } function d3_geo_pathCentroidLineStart() { var x0, y0; d3_geo_pathCentroid.point = function(x, y) { d3_geo_pathCentroid.point = nextPoint; d3_geo_pathCentroidPoint(x0 = x, y0 = y); }; function nextPoint(x, y) { var dx = x - x0, dy = y - y0, z = Math.sqrt(dx * dx + dy * dy); d3_geo_centroidX1 += z * (x0 + x) / 2; d3_geo_centroidY1 += z * (y0 + y) / 2; d3_geo_centroidZ1 += z; d3_geo_pathCentroidPoint(x0 = x, y0 = y); } } function d3_geo_pathCentroidLineEnd() { d3_geo_pathCentroid.point = d3_geo_pathCentroidPoint; } function d3_geo_pathCentroidRingStart() { var x00, y00, x0, y0; // For the first point, … d3_geo_pathCentroid.point = function(x, y) { d3_geo_pathCentroid.point = nextPoint; d3_geo_pathCentroidPoint(x00 = x0 = x, y00 = y0 = y); }; // For subsequent points, … function nextPoint(x, y) { var dx = x - x0, dy = y - y0, z = Math.sqrt(dx * dx + dy * dy); d3_geo_centroidX1 += z * (x0 + x) / 2; d3_geo_centroidY1 += z * (y0 + y) / 2; d3_geo_centroidZ1 += z; z = y0 * x - x0 * y; d3_geo_centroidX2 += z * (x0 + x); d3_geo_centroidY2 += z * (y0 + y); d3_geo_centroidZ2 += z * 3; d3_geo_pathCentroidPoint(x0 = x, y0 = y); } // For the last point, return to the start. d3_geo_pathCentroid.lineEnd = function() { nextPoint(x00, y00); }; } function d3_geo_pathContext(context) { var pointRadius = 4.5; var stream = { point: point, // While inside a line, override point to moveTo then lineTo. lineStart: function() { stream.point = pointLineStart; }, lineEnd: lineEnd, // While inside a polygon, override lineEnd to closePath. polygonStart: function() { stream.lineEnd = lineEndPolygon; }, polygonEnd: function() { stream.lineEnd = lineEnd; stream.point = point; }, pointRadius: function(_) { pointRadius = _; return stream; }, result: d3_noop }; function point(x, y) { context.moveTo(x + pointRadius, y); context.arc(x, y, pointRadius, 0, τ); } function pointLineStart(x, y) { context.moveTo(x, y); stream.point = pointLine; } function pointLine(x, y) { context.lineTo(x, y); } function lineEnd() { stream.point = point; } function lineEndPolygon() { context.closePath(); } return stream; } function d3_geo_resample(project) { var δ2 = .5, // precision, px² cosMinDistance = Math.cos(30 * d3_radians), // cos(minimum angular distance) maxDepth = 16; function resample(stream) { return (maxDepth ? resampleRecursive : resampleNone)(stream); } function resampleNone(stream) { return d3_geo_transformPoint(stream, function(x, y) { x = project(x, y); stream.point(x[0], x[1]); }); } function resampleRecursive(stream) { var λ00, φ00, x00, y00, a00, b00, c00, // first point λ0, x0, y0, a0, b0, c0; // previous point var resample = { point: point, lineStart: lineStart, lineEnd: lineEnd, polygonStart: function() { stream.polygonStart(); resample.lineStart = ringStart; }, polygonEnd: function() { stream.polygonEnd(); resample.lineStart = lineStart; } }; function point(x, y) { x = project(x, y); stream.point(x[0], x[1]); } function lineStart() { x0 = NaN; resample.point = linePoint; stream.lineStart(); } function linePoint(λ, φ) { var c = d3_geo_cartesian([λ, φ]), p = project(λ, φ); resampleLineTo(x0, y0, λ0, a0, b0, c0, x0 = p[0], y0 = p[1], λ0 = λ, a0 = c[0], b0 = c[1], c0 = c[2], maxDepth, stream); stream.point(x0, y0); } function lineEnd() { resample.point = point; stream.lineEnd(); } function ringStart() { lineStart(); resample.point = ringPoint; resample.lineEnd = ringEnd; } function ringPoint(λ, φ) { linePoint(λ00 = λ, φ00 = φ), x00 = x0, y00 = y0, a00 = a0, b00 = b0, c00 = c0; resample.point = linePoint; } function ringEnd() { resampleLineTo(x0, y0, λ0, a0, b0, c0, x00, y00, λ00, a00, b00, c00, maxDepth, stream); resample.lineEnd = lineEnd; lineEnd(); } return resample; } function resampleLineTo(x0, y0, λ0, a0, b0, c0, x1, y1, λ1, a1, b1, c1, depth, stream) { var dx = x1 - x0, dy = y1 - y0, d2 = dx * dx + dy * dy; if (d2 > 4 * δ2 && depth--) { var a = a0 + a1, b = b0 + b1, c = c0 + c1, m = Math.sqrt(a * a + b * b + c * c), φ2 = Math.asin(c /= m), λ2 = abs(abs(c) - 1) < ε || abs(λ0 - λ1) < ε ? (λ0 + λ1) / 2 : Math.atan2(b, a), p = project(λ2, φ2), x2 = p[0], y2 = p[1], dx2 = x2 - x0, dy2 = y2 - y0, dz = dy * dx2 - dx * dy2; if (dz * dz / d2 > δ2 // perpendicular projected distance || abs((dx * dx2 + dy * dy2) / d2 - .5) > .3 // midpoint close to an end || a0 * a1 + b0 * b1 + c0 * c1 < cosMinDistance) { // angular distance resampleLineTo(x0, y0, λ0, a0, b0, c0, x2, y2, λ2, a /= m, b /= m, c, depth, stream); stream.point(x2, y2); resampleLineTo(x2, y2, λ2, a, b, c, x1, y1, λ1, a1, b1, c1, depth, stream); } } } resample.precision = function(_) { if (!arguments.length) return Math.sqrt(δ2); maxDepth = (δ2 = _ * _) > 0 && 16; return resample; }; return resample; } d3.geo.path = function() { var pointRadius = 4.5, projection, context, projectStream, contextStream, cacheStream; function path(object) { if (object) { if (typeof pointRadius === "function") contextStream.pointRadius(+pointRadius.apply(this, arguments)); if (!cacheStream || !cacheStream.valid) cacheStream = projectStream(contextStream); d3.geo.stream(object, cacheStream); } return contextStream.result(); } path.area = function(object) { d3_geo_pathAreaSum = 0; d3.geo.stream(object, projectStream(d3_geo_pathArea)); return d3_geo_pathAreaSum; }; path.centroid = function(object) { d3_geo_centroidX0 = d3_geo_centroidY0 = d3_geo_centroidZ0 = d3_geo_centroidX1 = d3_geo_centroidY1 = d3_geo_centroidZ1 = d3_geo_centroidX2 = d3_geo_centroidY2 = d3_geo_centroidZ2 = 0; d3.geo.stream(object, projectStream(d3_geo_pathCentroid)); return d3_geo_centroidZ2 ? [d3_geo_centroidX2 / d3_geo_centroidZ2, d3_geo_centroidY2 / d3_geo_centroidZ2] : d3_geo_centroidZ1 ? [d3_geo_centroidX1 / d3_geo_centroidZ1, d3_geo_centroidY1 / d3_geo_centroidZ1] : d3_geo_centroidZ0 ? [d3_geo_centroidX0 / d3_geo_centroidZ0, d3_geo_centroidY0 / d3_geo_centroidZ0] : [NaN, NaN]; }; path.bounds = function(object) { d3_geo_pathBoundsX1 = d3_geo_pathBoundsY1 = -(d3_geo_pathBoundsX0 = d3_geo_pathBoundsY0 = Infinity); d3.geo.stream(object, projectStream(d3_geo_pathBounds)); return [[d3_geo_pathBoundsX0, d3_geo_pathBoundsY0], [d3_geo_pathBoundsX1, d3_geo_pathBoundsY1]]; }; path.projection = function(_) { if (!arguments.length) return projection; projectStream = (projection = _) ? _.stream || d3_geo_pathProjectStream(_) : d3_identity; return reset(); }; path.context = function(_) { if (!arguments.length) return context; contextStream = (context = _) == null ? new d3_geo_pathBuffer : new d3_geo_pathContext(_); if (typeof pointRadius !== "function") contextStream.pointRadius(pointRadius); return reset(); }; path.pointRadius = function(_) { if (!arguments.length) return pointRadius; pointRadius = typeof _ === "function" ? _ : (contextStream.pointRadius(+_), +_); return path; }; function reset() { cacheStream = null; return path; } return path.projection(d3.geo.albersUsa()).context(null); }; function d3_geo_pathProjectStream(project) { var resample = d3_geo_resample(function(x, y) { return project([x * d3_degrees, y * d3_degrees]); }); return function(stream) { return d3_geo_projectionRadians(resample(stream)); }; } d3.geo.transform = function(methods) { return { stream: function(stream) { var transform = new d3_geo_transform(stream); for (var k in methods) transform[k] = methods[k]; return transform; } }; }; function d3_geo_transform(stream) { this.stream = stream; } d3_geo_transform.prototype = { point: function(x, y) { this.stream.point(x, y); }, sphere: function() { this.stream.sphere(); }, lineStart: function() { this.stream.lineStart(); }, lineEnd: function() { this.stream.lineEnd(); }, polygonStart: function() { this.stream.polygonStart(); }, polygonEnd: function() { this.stream.polygonEnd(); } }; function d3_geo_transformPoint(stream, point) { return { point: point, sphere: function() { stream.sphere(); }, lineStart: function() { stream.lineStart(); }, lineEnd: function() { stream.lineEnd(); }, polygonStart: function() { stream.polygonStart(); }, polygonEnd: function() { stream.polygonEnd(); }, }; } d3.geo.projection = d3_geo_projection; d3.geo.projectionMutator = d3_geo_projectionMutator; function d3_geo_projection(project) { return d3_geo_projectionMutator(function() { return project; })(); } function d3_geo_projectionMutator(projectAt) { var project, rotate, projectRotate, projectResample = d3_geo_resample(function(x, y) { x = project(x, y); return [x[0] * k + δx, δy - x[1] * k]; }), k = 150, // scale x = 480, y = 250, // translate λ = 0, φ = 0, // center δλ = 0, δφ = 0, δγ = 0, // rotate δx, δy, // center preclip = d3_geo_clipAntimeridian, postclip = d3_identity, clipAngle = null, clipExtent = null, stream; function projection(point) { point = projectRotate(point[0] * d3_radians, point[1] * d3_radians); return [point[0] * k + δx, δy - point[1] * k]; } function invert(point) { point = projectRotate.invert((point[0] - δx) / k, (δy - point[1]) / k); return point && [point[0] * d3_degrees, point[1] * d3_degrees]; } projection.stream = function(output) { if (stream) stream.valid = false; stream = d3_geo_projectionRadians(preclip(rotate, projectResample(postclip(output)))); stream.valid = true; // allow caching by d3.geo.path return stream; }; projection.clipAngle = function(_) { if (!arguments.length) return clipAngle; preclip = _ == null ? (clipAngle = _, d3_geo_clipAntimeridian) : d3_geo_clipCircle((clipAngle = +_) * d3_radians); return invalidate(); }; projection.clipExtent = function(_) { if (!arguments.length) return clipExtent; clipExtent = _; postclip = _ ? d3_geo_clipExtent(_[0][0], _[0][1], _[1][0], _[1][1]) : d3_identity; return invalidate(); }; projection.scale = function(_) { if (!arguments.length) return k; k = +_; return reset(); }; projection.translate = function(_) { if (!arguments.length) return [x, y]; x = +_[0]; y = +_[1]; return reset(); }; projection.center = function(_) { if (!arguments.length) return [λ * d3_degrees, φ * d3_degrees]; λ = _[0] % 360 * d3_radians; φ = _[1] % 360 * d3_radians; return reset(); }; projection.rotate = function(_) { if (!arguments.length) return [δλ * d3_degrees, δφ * d3_degrees, δγ * d3_degrees]; δλ = _[0] % 360 * d3_radians; δφ = _[1] % 360 * d3_radians; δγ = _.length > 2 ? _[2] % 360 * d3_radians : 0; return reset(); }; d3.rebind(projection, projectResample, "precision"); function reset() { projectRotate = d3_geo_compose(rotate = d3_geo_rotation(δλ, δφ, δγ), project); var center = project(λ, φ); δx = x - center[0] * k; δy = y + center[1] * k; return invalidate(); } function invalidate() { if (stream) stream.valid = false, stream = null; return projection; } return function() { project = projectAt.apply(this, arguments); projection.invert = project.invert && invert; return reset(); }; } function d3_geo_projectionRadians(stream) { return d3_geo_transformPoint(stream, function(x, y) { stream.point(x * d3_radians, y * d3_radians); }); } function d3_geo_mercator(λ, φ) { return [λ, Math.log(Math.tan(π / 4 + φ / 2))]; } d3_geo_mercator.invert = function(x, y) { return [x, 2 * Math.atan(Math.exp(y)) - halfπ]; }; function d3_geo_mercatorProjection(project) { var m = d3_geo_projection(project), scale = m.scale, translate = m.translate, clipExtent = m.clipExtent, clipAuto; m.scale = function() { var v = scale.apply(m, arguments); return v === m ? (clipAuto ? m.clipExtent(null) : m) : v; }; m.translate = function() { var v = translate.apply(m, arguments); return v === m ? (clipAuto ? m.clipExtent(null) : m) : v; }; m.clipExtent = function(_) { var v = clipExtent.apply(m, arguments); if (v === m) { if (clipAuto = _ == null) { var k = π * scale(), t = translate(); clipExtent([[t[0] - k, t[1] - k], [t[0] + k, t[1] + k]]); } } else if (clipAuto) { v = null; } return v; }; return m.clipExtent(null); } (d3.geo.mercator = function() { return d3_geo_mercatorProjection(d3_geo_mercator); }).raw = d3_geo_mercator; d3.geom = {}; d3.geom.polygon = function(coordinates) { d3_subclass(coordinates, d3_geom_polygonPrototype); return coordinates; }; var d3_geom_polygonPrototype = d3.geom.polygon.prototype = []; d3_geom_polygonPrototype.area = function() { var i = -1, n = this.length, a, b = this[n - 1], area = 0; while (++i < n) { a = b; b = this[i]; area += a[1] * b[0] - a[0] * b[1]; } return area * .5; }; d3_geom_polygonPrototype.centroid = function(k) { var i = -1, n = this.length, x = 0, y = 0, a, b = this[n - 1], c; if (!arguments.length) k = -1 / (6 * this.area()); while (++i < n) { a = b; b = this[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. // Note: requires the clip polygon to be counterclockwise and convex. d3_geom_polygonPrototype.clip = function(subject) { var input, closed = d3_geom_polygonClosed(subject), i = -1, n = this.length - d3_geom_polygonClosed(this), j, m, a = this[n - 1], b, c, d; while (++i < n) { input = subject.slice(); subject.length = 0; b = this[i]; c = input[(m = input.length - closed) - 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; } if (closed) subject.push(subject[0]); a = b; } return subject; }; 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], x3 = a[0], x21 = d[0] - x1, x43 = b[0] - x3, y1 = c[1], y3 = a[1], y21 = d[1] - y1, y43 = b[1] - y3, ua = (x43 * (y1 - y3) - y43 * (x1 - x3)) / (y43 * x21 - x43 * y21); return [x1 + ua * x21, y1 + ua * y21]; } // Returns true if the polygon is closed. function d3_geom_polygonClosed(coordinates) { var a = coordinates[0], b = coordinates[coordinates.length - 1]; return !(a[0] - b[0] || a[1] - b[1]); } function d3_geom_pointX(d) { return d[0]; } function d3_geom_pointY(d) { return d[1]; } /** * Computes the 2D convex hull of a set of points using the monotone chain * algorithm: * http://en.wikibooks.org/wiki/Algorithm_Implementation/Geometry/Convex_hull/Monotone_chain) * * The runtime of this algorithm is O(n log n), where n is the number of input * points. However in practice it outperforms other O(n log n) hulls. * * @param vertices [[x1, y1], [x2, y2], ...] * @returns polygon [[x1, y1], [x2, y2], ...] */ d3.geom.hull = function(vertices) { var x = d3_geom_pointX, y = d3_geom_pointY; if (arguments.length) return hull(vertices); function hull(data) { // Hull of < 3 points is not well-defined if (data.length < 3) return []; var fx = d3_functor(x), fy = d3_functor(y), i, n = data.length, points = [], // of the form [[x0, y0, 0], ..., [xn, yn, n]] flippedPoints = []; for (i = 0 ; i < n; i++) { points.push([+fx.call(this, data[i], i), +fy.call(this, data[i], i), i]); } // sort ascending by x-coord first, y-coord second points.sort(d3_geom_hullOrder); // we flip bottommost points across y axis so we can use the upper hull routine on both for (i = 0; i < n; i++) flippedPoints.push([points[i][0], -points[i][1]]); var upper = d3_geom_hullUpper(points), lower = d3_geom_hullUpper(flippedPoints); // construct the polygon, removing possible duplicate endpoints var skipLeft = lower[0] === upper[0], skipRight = lower[lower.length - 1] === upper[upper.length - 1], polygon = []; // add upper hull in r->l order // then add lower hull in l->r order for (i = upper.length - 1; i >= 0; --i) polygon.push(data[points[upper[i]][2]]); for (i = +skipLeft; i < lower.length - skipRight; ++i) polygon.push(data[points[lower[i]][2]]); return polygon; } hull.x = function(_) { return arguments.length ? (x = _, hull) : x; }; hull.y = function(_) { return arguments.length ? (y = _, hull) : y; }; return hull; }; // finds the 'upper convex hull' (see wiki link above) // assumes points arg has >=3 elements, is sorted by x, unique in y // returns array of indices into points in left to right order function d3_geom_hullUpper(points) { var n = points.length, hull = [0, 1], hs = 2; // hull size for (var i = 2; i < n; i++) { while (hs > 1 && d3_cross2d(points[hull[hs-2]], points[hull[hs-1]], points[i]) <= 0) --hs; hull[hs++] = i; } // we slice to make sure that the points we 'popped' from hull don't stay behind return hull.slice(0, hs); } // comparator for ascending sort by x-coord first, y-coord second function d3_geom_hullOrder(a, b) { return a[0] - b[0] || a[1] - b[1]; } // import "../transition/transition"; d3_selectionPrototype.transition = function(name) { var id = d3_transitionInheritId || ++d3_transitionId, ns = d3_transitionNamespace(name), subgroups = [], subgroup, node, transition = d3_transitionInherit || {time: Date.now(), ease: d3_ease_cubicInOut, delay: 0, duration: 250}; 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]) d3_transitionNode(node, i, ns, id, transition); subgroup.push(node); } } return d3_transition(subgroups, ns, id); }; // import "../transition/transition"; // TODO Interrupt transitions for all namespaces? d3_selectionPrototype.interrupt = function(name) { return this.each(name == null ? d3_selection_interrupt : d3_selection_interruptNS(d3_transitionNamespace(name))); }; var d3_selection_interrupt = d3_selection_interruptNS(d3_transitionNamespace()); function d3_selection_interruptNS(ns) { return function() { var lock, active; if ((lock = this[ns]) && (active = lock[lock.active])) { if (--lock.count) delete lock[lock.active]; else delete this[ns]; lock.active += .5; active.event && active.event.interrupt.call(this, this.__data__, active.index); } }; } function d3_transition(groups, ns, id) { d3_subclass(groups, d3_transitionPrototype); // Note: read-only! groups.namespace = ns; groups.id = id; return groups; } var d3_transitionPrototype = [], d3_transitionId = 0, d3_transitionInheritId, d3_transitionInherit; d3_transitionPrototype.call = d3_selectionPrototype.call; d3_transitionPrototype.empty = d3_selectionPrototype.empty; d3_transitionPrototype.node = d3_selectionPrototype.node; d3_transitionPrototype.size = d3_selectionPrototype.size; d3.transition = function(selection, name) { return selection && selection.transition ? (d3_transitionInheritId ? selection.transition(name) : selection) : d3.selection().transition(selection); }; d3.transition.prototype = d3_transitionPrototype; d3_transitionPrototype.select = function(selector) { var id = this.id, ns = this.namespace, subgroups = [], subgroup, subnode, node; 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.__data__, i, j))) { if ("__data__" in node) subnode.__data__ = node.__data__; d3_transitionNode(subnode, i, ns, id, node[ns][id]); subgroup.push(subnode); } else { subgroup.push(null); } } } return d3_transition(subgroups, ns, id); }; d3_transitionPrototype.selectAll = function(selector) { var id = this.id, ns = this.namespace, subgroups = [], subgroup, subnodes, node, subnode, transition; 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]) { transition = node[ns][id]; subnodes = selector.call(node, node.__data__, i, j); subgroups.push(subgroup = []); for (var k = -1, o = subnodes.length; ++k < o;) { if (subnode = subnodes[k]) d3_transitionNode(subnode, k, ns, id, transition); subgroup.push(subnode); } } } } return d3_transition(subgroups, ns, id); }; d3_transitionPrototype.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 = []); for (var group = this[j], i = 0, n = group.length; i < n; i++) { if ((node = group[i]) && filter.call(node, node.__data__, i, j)) { subgroup.push(node); } } } return d3_transition(subgroups, this.namespace, this.id); }; d3.color = d3_color; function d3_color() {} d3_color.prototype.toString = function() { return this.rgb() + ""; }; d3.hsl = d3_hsl; function d3_hsl(h, s, l) { return this instanceof d3_hsl ? void (this.h = +h, this.s = +s, this.l = +l) : arguments.length < 2 ? (h instanceof d3_hsl ? new d3_hsl(h.h, h.s, h.l) : d3_rgb_parse("" + h, d3_rgb_hsl, d3_hsl)) : new d3_hsl(h, s, l); } var d3_hslPrototype = d3_hsl.prototype = new d3_color; d3_hslPrototype.brighter = function(k) { k = Math.pow(0.7, arguments.length ? k : 1); return new d3_hsl(this.h, this.s, this.l / k); }; d3_hslPrototype.darker = function(k) { k = Math.pow(0.7, arguments.length ? k : 1); return new d3_hsl(this.h, this.s, k * this.l); }; d3_hslPrototype.rgb = function() { return d3_hsl_rgb(this.h, this.s, this.l); }; function d3_hsl_rgb(h, s, l) { var m1, m2; /* Some simple corrections for h, s and l. */ h = isNaN(h) ? 0 : (h %= 360) < 0 ? h + 360 : h; s = isNaN(s) ? 0 : 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 new d3_rgb(vv(h + 120), vv(h), vv(h - 120)); } d3.hcl = d3_hcl; function d3_hcl(h, c, l) { return this instanceof d3_hcl ? void (this.h = +h, this.c = +c, this.l = +l) : arguments.length < 2 ? (h instanceof d3_hcl ? new d3_hcl(h.h, h.c, h.l) : (h instanceof d3_lab ? d3_lab_hcl(h.l, h.a, h.b) : d3_lab_hcl((h = d3_rgb_lab((h = d3.rgb(h)).r, h.g, h.b)).l, h.a, h.b))) : new d3_hcl(h, c, l); } var d3_hclPrototype = d3_hcl.prototype = new d3_color; d3_hclPrototype.brighter = function(k) { return new d3_hcl(this.h, this.c, Math.min(100, this.l + d3_lab_K * (arguments.length ? k : 1))); }; d3_hclPrototype.darker = function(k) { return new d3_hcl(this.h, this.c, Math.max(0, this.l - d3_lab_K * (arguments.length ? k : 1))); }; d3_hclPrototype.rgb = function() { return d3_hcl_lab(this.h, this.c, this.l).rgb(); }; function d3_hcl_lab(h, c, l) { if (isNaN(h)) h = 0; if (isNaN(c)) c = 0; return new d3_lab(l, Math.cos(h *= d3_radians) * c, Math.sin(h) * c); } d3.lab = d3_lab; function d3_lab(l, a, b) { return this instanceof d3_lab ? void (this.l = +l, this.a = +a, this.b = +b) : arguments.length < 2 ? (l instanceof d3_lab ? new d3_lab(l.l, l.a, l.b) : (l instanceof d3_hcl ? d3_hcl_lab(l.h, l.c, l.l) : d3_rgb_lab((l = d3_rgb(l)).r, l.g, l.b))) : new d3_lab(l, a, b); } // Corresponds roughly to RGB brighter/darker var d3_lab_K = 18; // D65 standard referent var d3_lab_X = 0.950470, d3_lab_Y = 1, d3_lab_Z = 1.088830; var d3_labPrototype = d3_lab.prototype = new d3_color; d3_labPrototype.brighter = function(k) { return new d3_lab(Math.min(100, this.l + d3_lab_K * (arguments.length ? k : 1)), this.a, this.b); }; d3_labPrototype.darker = function(k) { return new d3_lab(Math.max(0, this.l - d3_lab_K * (arguments.length ? k : 1)), this.a, this.b); }; d3_labPrototype.rgb = function() { return d3_lab_rgb(this.l, this.a, this.b); }; function d3_lab_rgb(l, a, b) { var y = (l + 16) / 116, x = y + a / 500, z = y - b / 200; x = d3_lab_xyz(x) * d3_lab_X; y = d3_lab_xyz(y) * d3_lab_Y; z = d3_lab_xyz(z) * d3_lab_Z; return new d3_rgb( d3_xyz_rgb( 3.2404542 * x - 1.5371385 * y - 0.4985314 * z), d3_xyz_rgb(-0.9692660 * x + 1.8760108 * y + 0.0415560 * z), d3_xyz_rgb( 0.0556434 * x - 0.2040259 * y + 1.0572252 * z) ); } function d3_lab_hcl(l, a, b) { return l > 0 ? new d3_hcl(Math.atan2(b, a) * d3_degrees, Math.sqrt(a * a + b * b), l) : new d3_hcl(NaN, NaN, l); } function d3_lab_xyz(x) { return x > 0.206893034 ? x * x * x : (x - 4 / 29) / 7.787037; } function d3_xyz_lab(x) { return x > 0.008856 ? Math.pow(x, 1 / 3) : 7.787037 * x + 4 / 29; } function d3_xyz_rgb(r) { return Math.round(255 * (r <= 0.00304 ? 12.92 * r : 1.055 * Math.pow(r, 1 / 2.4) - 0.055)); } d3.rgb = d3_rgb; function d3_rgb(r, g, b) { return this instanceof d3_rgb ? void (this.r = ~~r, this.g = ~~g, this.b = ~~b) : arguments.length < 2 ? (r instanceof d3_rgb ? new d3_rgb(r.r, r.g, r.b) : d3_rgb_parse("" + r, d3_rgb, d3_hsl_rgb)) : new d3_rgb(r, g, b); } function d3_rgbNumber(value) { return new d3_rgb(value >> 16, value >> 8 & 0xff, value & 0xff); } function d3_rgbString(value) { return d3_rgbNumber(value) + ""; } var d3_rgbPrototype = d3_rgb.prototype = new d3_color; d3_rgbPrototype.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 new d3_rgb(i, i, i); if (r && r < i) r = i; if (g && g < i) g = i; if (b && b < i) b = i; return new d3_rgb(Math.min(255, r / k), Math.min(255, g / k), Math.min(255, b / k)); }; d3_rgbPrototype.darker = function(k) { k = Math.pow(0.7, arguments.length ? k : 1); return new d3_rgb(k * this.r, k * this.g, k * this.b); }; d3_rgbPrototype.hsl = function() { return d3_rgb_hsl(this.r, this.g, this.b); }; d3_rgbPrototype.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) color; /* 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 (color = d3_rgb_names.get(format.toLowerCase())) { return rgb(color.r, color.g, color.b); } /* Hexadecimal colors: #rgb and #rrggbb. */ if (format != null && format.charAt(0) === "#" && !isNaN(color = parseInt(format.slice(1), 16))) { if (format.length === 4) { r = (color & 0xf00) >> 4; r = (r >> 4) | r; g = (color & 0xf0); g = (g >> 4) | g; b = (color & 0xf); b = (b << 4) | b; } else if (format.length === 7) { r = (color & 0xff0000) >> 16; g = (color & 0xff00) >> 8; b = (color & 0xff); } } 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 { h = NaN; s = l > 0 && l < 1 ? 0 : h; } return new d3_hsl(h, s, l); } function d3_rgb_lab(r, g, b) { r = d3_rgb_xyz(r); g = d3_rgb_xyz(g); b = d3_rgb_xyz(b); var x = d3_xyz_lab((0.4124564 * r + 0.3575761 * g + 0.1804375 * b) / d3_lab_X), y = d3_xyz_lab((0.2126729 * r + 0.7151522 * g + 0.0721750 * b) / d3_lab_Y), z = d3_xyz_lab((0.0193339 * r + 0.1191920 * g + 0.9503041 * b) / d3_lab_Z); return d3_lab(116 * y - 16, 500 * (x - y), 200 * (y - z)); } function d3_rgb_xyz(r) { return (r /= 255) <= 0.04045 ? r / 12.92 : Math.pow((r + 0.055) / 1.055, 2.4); } 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: 0xf0f8ff, antiquewhite: 0xfaebd7, aqua: 0x00ffff, aquamarine: 0x7fffd4, azure: 0xf0ffff, beige: 0xf5f5dc, bisque: 0xffe4c4, black: 0x000000, blanchedalmond: 0xffebcd, blue: 0x0000ff, blueviolet: 0x8a2be2, brown: 0xa52a2a, burlywood: 0xdeb887, cadetblue: 0x5f9ea0, chartreuse: 0x7fff00, chocolate: 0xd2691e, coral: 0xff7f50, cornflowerblue: 0x6495ed, cornsilk: 0xfff8dc, crimson: 0xdc143c, cyan: 0x00ffff, darkblue: 0x00008b, darkcyan: 0x008b8b, darkgoldenrod: 0xb8860b, darkgray: 0xa9a9a9, darkgreen: 0x006400, darkgrey: 0xa9a9a9, darkkhaki: 0xbdb76b, darkmagenta: 0x8b008b, darkolivegreen: 0x556b2f, darkorange: 0xff8c00, darkorchid: 0x9932cc, darkred: 0x8b0000, darksalmon: 0xe9967a, darkseagreen: 0x8fbc8f, darkslateblue: 0x483d8b, darkslategray: 0x2f4f4f, darkslategrey: 0x2f4f4f, darkturquoise: 0x00ced1, darkviolet: 0x9400d3, deeppink: 0xff1493, deepskyblue: 0x00bfff, dimgray: 0x696969, dimgrey: 0x696969, dodgerblue: 0x1e90ff, firebrick: 0xb22222, floralwhite: 0xfffaf0, forestgreen: 0x228b22, fuchsia: 0xff00ff, gainsboro: 0xdcdcdc, ghostwhite: 0xf8f8ff, gold: 0xffd700, goldenrod: 0xdaa520, gray: 0x808080, green: 0x008000, greenyellow: 0xadff2f, grey: 0x808080, honeydew: 0xf0fff0, hotpink: 0xff69b4, indianred: 0xcd5c5c, indigo: 0x4b0082, ivory: 0xfffff0, khaki: 0xf0e68c, lavender: 0xe6e6fa, lavenderblush: 0xfff0f5, lawngreen: 0x7cfc00, lemonchiffon: 0xfffacd, lightblue: 0xadd8e6, lightcoral: 0xf08080, lightcyan: 0xe0ffff, lightgoldenrodyellow: 0xfafad2, lightgray: 0xd3d3d3, lightgreen: 0x90ee90, lightgrey: 0xd3d3d3, lightpink: 0xffb6c1, lightsalmon: 0xffa07a, lightseagreen: 0x20b2aa, lightskyblue: 0x87cefa, lightslategray: 0x778899, lightslategrey: 0x778899, lightsteelblue: 0xb0c4de, lightyellow: 0xffffe0, lime: 0x00ff00, limegreen: 0x32cd32, linen: 0xfaf0e6, magenta: 0xff00ff, maroon: 0x800000, mediumaquamarine: 0x66cdaa, mediumblue: 0x0000cd, mediumorchid: 0xba55d3, mediumpurple: 0x9370db, mediumseagreen: 0x3cb371, mediumslateblue: 0x7b68ee, mediumspringgreen: 0x00fa9a, mediumturquoise: 0x48d1cc, mediumvioletred: 0xc71585, midnightblue: 0x191970, mintcream: 0xf5fffa, mistyrose: 0xffe4e1, moccasin: 0xffe4b5, navajowhite: 0xffdead, navy: 0x000080, oldlace: 0xfdf5e6, olive: 0x808000, olivedrab: 0x6b8e23, orange: 0xffa500, orangered: 0xff4500, orchid: 0xda70d6, palegoldenrod: 0xeee8aa, palegreen: 0x98fb98, paleturquoise: 0xafeeee, palevioletred: 0xdb7093, papayawhip: 0xffefd5, peachpuff: 0xffdab9, peru: 0xcd853f, pink: 0xffc0cb, plum: 0xdda0dd, powderblue: 0xb0e0e6, purple: 0x800080, rebeccapurple: 0x663399, red: 0xff0000, rosybrown: 0xbc8f8f, royalblue: 0x4169e1, saddlebrown: 0x8b4513, salmon: 0xfa8072, sandybrown: 0xf4a460, seagreen: 0x2e8b57, seashell: 0xfff5ee, sienna: 0xa0522d, silver: 0xc0c0c0, skyblue: 0x87ceeb, slateblue: 0x6a5acd, slategray: 0x708090, slategrey: 0x708090, snow: 0xfffafa, springgreen: 0x00ff7f, steelblue: 0x4682b4, tan: 0xd2b48c, teal: 0x008080, thistle: 0xd8bfd8, tomato: 0xff6347, turquoise: 0x40e0d0, violet: 0xee82ee, wheat: 0xf5deb3, white: 0xffffff, whitesmoke: 0xf5f5f5, yellow: 0xffff00, yellowgreen: 0x9acd32 }); d3_rgb_names.forEach(function(key, value) { d3_rgb_names.set(key, d3_rgbNumber(value)); }); d3.interpolateRgb = d3_interpolateRgb; function d3_interpolateRgb(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)); }; } d3.interpolateObject = d3_interpolateObject; function d3_interpolateObject(a, b) { var i = {}, c = {}, k; for (k in a) { if (k in b) { i[k] = d3_interpolate(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; }; } d3.interpolateArray = d3_interpolateArray; function d3_interpolateArray(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.interpolateNumber = d3_interpolateNumber; function d3_interpolateNumber(a, b) { a = +a, b = +b; return function(t) { return a * (1 - t) + b * t; }; } d3.interpolateString = d3_interpolateString; function d3_interpolateString(a, b) { var bi = d3_interpolate_numberA.lastIndex = d3_interpolate_numberB.lastIndex = 0, // scan index for next number in b am, // current match in a bm, // current match in b bs, // string preceding current number in b, if any i = -1, // index in s s = [], // string constants and placeholders q = []; // number interpolators // Coerce inputs to strings. a = a + "", b = b + ""; // Interpolate pairs of numbers in a & b. while ((am = d3_interpolate_numberA.exec(a)) && (bm = d3_interpolate_numberB.exec(b))) { if ((bs = bm.index) > bi) { // a string precedes the next number in b bs = b.slice(bi, bs); if (s[i]) s[i] += bs; // coalesce with previous string else s[++i] = bs; } if ((am = am[0]) === (bm = bm[0])) { // numbers in a & b match if (s[i]) s[i] += bm; // coalesce with previous string else s[++i] = bm; } else { // interpolate non-matching numbers s[++i] = null; q.push({i: i, x: d3_interpolateNumber(am, bm)}); } bi = d3_interpolate_numberB.lastIndex; } // Add remains of b. if (bi < b.length) { bs = b.slice(bi); if (s[i]) s[i] += bs; // coalesce with previous string else s[++i] = bs; } // Special optimization for only a single match. // Otherwise, interpolate each of the numbers and rejoin the string. return s.length < 2 ? (q[0] ? (b = q[0].x, function(t) { return b(t) + ""; }) : function() { return b; }) : (b = q.length, function(t) { for (var i = 0, o; i < b; ++i) s[(o = q[i]).i] = o.x(t); return s.join(""); }); } var d3_interpolate_numberA = /[-+]?(?:\d+\.?\d*|\.?\d+)(?:[eE][-+]?\d+)?/g, d3_interpolate_numberB = new RegExp(d3_interpolate_numberA.source, "g"); d3.interpolate = d3_interpolate; function d3_interpolate(a, b) { var i = d3.interpolators.length, f; while (--i >= 0 && !(f = d3.interpolators[i](a, b))); return f; } d3.interpolators = [ function(a, b) { var t = typeof b; return (t === "string" ? (d3_rgb_names.has(b) || /^(#|rgb\(|hsl\()/.test(b) ? d3_interpolateRgb : d3_interpolateString) : b instanceof d3_color ? d3_interpolateRgb : Array.isArray(b) ? d3_interpolateArray : t === "object" && isNaN(b) ? d3_interpolateObject : d3_interpolateNumber)(a, b); } ]; d3.transform = function(string) { var g = d3_document.createElementNS(d3.ns.prefix.svg, "g"); return (d3.transform = function(string) { if (string != null) { g.setAttribute("transform", string); var t = g.transform.baseVal.consolidate(); } return new d3_transform(t ? t.matrix : d3_transformIdentity); })(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_degrees; this.translate = [m.e, m.f]; this.scale = [kx, ky]; this.skew = ky ? Math.atan2(kz, ky) * d3_degrees : 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_transformIdentity = {a: 1, b: 0, c: 0, d: 1, e: 0, f: 0}; d3.interpolateTransform = d3_interpolateTransform; function d3_interpolateTransform(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) { if (ra - rb > 180) rb += 360; else if (rb - ra > 180) ra += 360; // shortest path 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_transitionPrototype.tween = function(name, tween) { var id = this.id, ns = this.namespace; if (arguments.length < 2) return this.node()[ns][id].tween.get(name); return d3_selection_each(this, tween == null ? function(node) { node[ns][id].tween.remove(name); } : function(node) { node[ns][id].tween.set(name, tween); }); }; function d3_transition_tween(groups, name, value, tween) { var id = groups.id, ns = groups.namespace; return d3_selection_each(groups, typeof value === "function" ? function(node, i, j) { node[ns][id].tween.set(name, tween(value.call(node, node.__data__, i, j))); } : (value = tween(value), function(node) { node[ns][id].tween.set(name, value); })); } d3_transitionPrototype.attr = function(nameNS, value) { if (arguments.length < 2) { // For attr(object), the object specifies the names and values of the // attributes to transition. The values may be functions that are // evaluated for each element. for (value in nameNS) this.attr(value, nameNS[value]); return this; } var interpolate = nameNS == "transform" ? d3_interpolateTransform : d3_interpolate, name = d3.ns.qualify(nameNS); // For attr(string, null), remove the attribute with the specified name. function attrNull() { this.removeAttribute(name); } function attrNullNS() { this.removeAttributeNS(name.space, name.local); } // For attr(string, string), set the attribute with the specified name. function attrTween(b) { return b == null ? attrNull : (b += "", function() { var a = this.getAttribute(name), i; return a !== b && (i = interpolate(a, b), function(t) { this.setAttribute(name, i(t)); }); }); } function attrTweenNS(b) { return b == null ? attrNullNS : (b += "", function() { var a = this.getAttributeNS(name.space, name.local), i; return a !== b && (i = interpolate(a, b), function(t) { this.setAttributeNS(name.space, name.local, i(t)); }); }); } return d3_transition_tween(this, "attr." + nameNS, value, name.local ? attrTweenNS : attrTween); }; 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 && 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 && 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) { var n = arguments.length; if (n < 3) { // For style(object) or style(object, string), the object specifies the // names and values of the attributes to set or remove. The values may be // functions that are evaluated for each element. The optional string // specifies the priority. if (typeof name !== "string") { if (n < 2) value = ""; for (priority in name) this.style(priority, name[priority], value); return this; } // For style(string, string) or style(string, function), use the default // priority. The priority is ignored for style(string, null). priority = ""; } // For style(name, null) or style(name, null, priority), remove the style // property with the specified name. The priority is ignored. function styleNull() { this.style.removeProperty(name); } // For style(name, string) or style(name, string, priority), set the style // property with the specified name, using the specified priority. // Otherwise, a name, value and priority are specified, and handled as below. function styleString(b) { return b == null ? styleNull : (b += "", function() { var a = d3_window(this).getComputedStyle(this, null).getPropertyValue(name), i; return a !== b && (i = d3_interpolate(a, b), function(t) { this.style.setProperty(name, i(t), priority); }); }); } return d3_transition_tween(this, "style." + name, value, styleString); }; d3_transitionPrototype.styleTween = function(name, tween, priority) { if (arguments.length < 3) priority = ""; function styleTween(d, i) { var f = tween.call(this, d, i, d3_window(this).getComputedStyle(this, null).getPropertyValue(name)); return f && function(t) { this.style.setProperty(name, f(t), priority); }; } return this.tween("style." + name, styleTween); }; d3_transitionPrototype.text = function(value) { return d3_transition_tween(this, "text", value, d3_transition_text); }; function d3_transition_text(b) { if (b == null) b = ""; return function() { this.textContent = b; }; } d3_transitionPrototype.remove = function() { var ns = this.namespace; return this.each("end.transition", function() { var p; if (this[ns].count < 2 && (p = this.parentNode)) p.removeChild(this); }); }; var d3_ease_default = function() { return d3_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_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.slice(0, i) : name, m = i >= 0 ? name.slice(i + 1) : "in"; t = d3_ease.get(t) || d3_ease_default; m = d3_ease_mode.get(m) || d3_identity; return d3_ease_clamp(m(t.apply(null, d3_arraySlice.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_quad(t) { return t * t; } function d3_ease_cubic(t) { return t * t * t; } // Optimized clamp(reflect(poly(3))). function d3_ease_cubicInOut(t) { if (t <= 0) return 0; if (t >= 1) return 1; var t2 = t * t, t3 = t2 * t; return 4 * (t < .5 ? t3 : 3 * (t - t2) + t3 - .75); } function d3_ease_poly(e) { return function(t) { return Math.pow(t, e); }; } function d3_ease_sin(t) { return 1 - Math.cos(t * halfπ); } 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) s = p / τ * Math.asin(1 / a); else a = 1, s = p / 4; return function(t) { return 1 + a * Math.pow(2, -10 * t) * Math.sin((t - s) * τ / 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_transitionPrototype.ease = function(value) { var id = this.id, ns = this.namespace; if (arguments.length < 1) return this.node()[ns][id].ease; if (typeof value !== "function") value = d3.ease.apply(d3, arguments); return d3_selection_each(this, function(node) { node[ns][id].ease = value; }); }; d3_transitionPrototype.delay = function(value) { var id = this.id, ns = this.namespace; if (arguments.length < 1) return this.node()[ns][id].delay; return d3_selection_each(this, typeof value === "function" ? function(node, i, j) { node[ns][id].delay = +value.call(node, node.__data__, i, j); } : (value = +value, function(node) { node[ns][id].delay = value; })); }; d3_transitionPrototype.duration = function(value) { var id = this.id, ns = this.namespace; if (arguments.length < 1) return this.node()[ns][id].duration; return d3_selection_each(this, typeof value === "function" ? function(node, i, j) { node[ns][id].duration = Math.max(1, value.call(node, node.__data__, i, j)); } : (value = Math.max(1, value), function(node) { node[ns][id].duration = value; })); }; d3_transitionPrototype.each = function(type, listener) { var id = this.id, ns = this.namespace; if (arguments.length < 2) { var inherit = d3_transitionInherit, inheritId = d3_transitionInheritId; try { d3_transitionInheritId = id; d3_selection_each(this, function(node, i, j) { d3_transitionInherit = node[ns][id]; type.call(node, node.__data__, i, j); }); } finally { d3_transitionInherit = inherit; d3_transitionInheritId = inheritId; } } else { d3_selection_each(this, function(node) { var transition = node[ns][id]; (transition.event || (transition.event = d3.dispatch("start", "end", "interrupt"))).on(type, listener); }); } return this; }; d3_transitionPrototype.transition = function() { var id0 = this.id, id1 = ++d3_transitionId, ns = this.namespace, subgroups = [], subgroup, group, node, transition; for (var j = 0, m = this.length; j < m; j++) { subgroups.push(subgroup = []); for (var group = this[j], i = 0, n = group.length; i < n; i++) { if (node = group[i]) { transition = node[ns][id0]; d3_transitionNode(node, i, ns, id1, {time: transition.time, ease: transition.ease, delay: transition.delay + transition.duration, duration: transition.duration}); } subgroup.push(node); } } return d3_transition(subgroups, ns, id1); }; function d3_transitionNamespace(name) { return name == null ? "__transition__" : "__transition_" + name + "__"; } function d3_transitionNode(node, i, ns, id, inherit) { var lock = node[ns] || (node[ns] = {active: 0, count: 0}), transition = lock[id]; if (!transition) { var time = inherit.time; transition = lock[id] = { tween: new d3_Map, time: time, delay: inherit.delay, duration: inherit.duration, ease: inherit.ease, index: i }; inherit = null; // allow gc ++lock.count; d3.timer(function(elapsed) { var delay = transition.delay, duration, ease, timer = d3_timer_active, tweened = []; timer.t = delay + time; if (delay <= elapsed) return start(elapsed - delay); timer.c = start; function start(elapsed) { if (lock.active > id) return stop(); var active = lock[lock.active]; if (active) { --lock.count; delete lock[lock.active]; active.event && active.event.interrupt.call(node, node.__data__, active.index); } lock.active = id; transition.event && transition.event.start.call(node, node.__data__, i); transition.tween.forEach(function(key, value) { if (value = value.call(node, node.__data__, i)) { tweened.push(value); } }); // Deferred capture to allow tweens to initialize ease & duration. ease = transition.ease; duration = transition.duration; d3.timer(function() { // defer to end of current frame timer.c = tick(elapsed || 1) ? d3_true : tick; return 1; }, 0, time); } function tick(elapsed) { if (lock.active !== id) return 1; var t = elapsed / duration, e = ease(t), n = tweened.length; while (n > 0) { tweened[--n].call(node, e); } if (t >= 1) { transition.event && transition.event.end.call(node, node.__data__, i); return stop(); } } function stop() { if (--lock.count) delete lock[id]; else delete node[ns]; return 1; } }, 0, time); } } d3.xhr = d3_xhrType(d3_identity); function d3_xhrType(response) { return function(url, mimeType, callback) { if (arguments.length === 2 && typeof mimeType === "function") callback = mimeType, mimeType = null; return d3_xhr(url, mimeType, response, callback); }; } function d3_xhr(url, mimeType, response, callback) { var xhr = {}, dispatch = d3.dispatch("beforesend", "progress", "load", "error"), headers = {}, request = new XMLHttpRequest, responseType = null; // If IE does not support CORS, use XDomainRequest. if (this.XDomainRequest && !("withCredentials" in request) && /^(http(s)?:)?\/\//.test(url)) request = new XDomainRequest; "onload" in request ? request.onload = request.onerror = respond : request.onreadystatechange = function() { request.readyState > 3 && respond(); }; function respond() { var status = request.status, result; if (!status && d3_xhrHasResponse(request) || status >= 200 && status < 300 || status === 304) { try { result = response.call(xhr, request); } catch (e) { dispatch.error.call(xhr, e); return; } dispatch.load.call(xhr, result); } else { dispatch.error.call(xhr, request); } } request.onprogress = function(event) { var o = d3.event; d3.event = event; try { dispatch.progress.call(xhr, request); } finally { d3.event = o; } }; xhr.header = function(name, value) { name = (name + "").toLowerCase(); if (arguments.length < 2) return headers[name]; if (value == null) delete headers[name]; else headers[name] = value + ""; return xhr; }; // If mimeType is non-null and no Accept header is set, a default is used. xhr.mimeType = function(value) { if (!arguments.length) return mimeType; mimeType = value == null ? null : value + ""; return xhr; }; // Specifies what type the response value should take; // for instance, arraybuffer, blob, document, or text. xhr.responseType = function(value) { if (!arguments.length) return responseType; responseType = value; return xhr; }; // Specify how to convert the response content to a specific type; // changes the callback value on "load" events. xhr.response = function(value) { response = value; return xhr; }; // Convenience methods. ["get", "post"].forEach(function(method) { xhr[method] = function() { return xhr.send.apply(xhr, [method].concat(d3_array(arguments))); }; }); // If callback is non-null, it will be used for error and load events. xhr.send = function(method, data, callback) { if (arguments.length === 2 && typeof data === "function") callback = data, data = null; request.open(method, url, true); if (mimeType != null && !("accept" in headers)) headers["accept"] = mimeType + ",*/*"; if (request.setRequestHeader) for (var name in headers) request.setRequestHeader(name, headers[name]); if (mimeType != null && request.overrideMimeType) request.overrideMimeType(mimeType); if (responseType != null) request.responseType = responseType; if (callback != null) xhr.on("error", callback).on("load", function(request) { callback(null, request); }); dispatch.beforesend.call(xhr, request); request.send(data == null ? null : data); return xhr; }; xhr.abort = function() { request.abort(); return xhr; }; d3.rebind(xhr, dispatch, "on"); return callback == null ? xhr : xhr.get(d3_xhr_fixCallback(callback)); }; function d3_xhr_fixCallback(callback) { return callback.length === 1 ? function(error, request) { callback(error == null ? request : null); } : callback; } function d3_xhrHasResponse(request) { var type = request.responseType; return type && type !== "text" ? request.response // null on error : request.responseText; // "" on error } d3.text = d3_xhrType(function(request) { return request.responseText; }); d3.json = function(url, callback) { return d3_xhr(url, "application/json", d3_json, callback); }; function d3_json(request) { return JSON.parse(request.responseText); } d3.html = function(url, callback) { return d3_xhr(url, "text/html", d3_html, callback); }; function d3_html(request) { var range = d3_document.createRange(); range.selectNode(d3_document.body); return range.createContextualFragment(request.responseText); } d3.xml = d3_xhrType(function(request) { return request.responseXML; }); if (typeof define === "function" && define.amd) define(d3); else if (typeof module === "object" && module.exports) module.exports = d3; this.d3 = d3; }();