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@bollwyvl
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A hacked mermaid.js that never reuses ids and accepts node-like things as a second input to init
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!function(e){if("object"==typeof exports&&"undefined"!=typeof module)module.exports=e();else if("function"==typeof define&&define.amd)define([],e);else{var f;"undefined"!=typeof window?f=window:"undefined"!=typeof global?f=global:"undefined"!=typeof self&&(f=self),f.dagreD3=e()}}(function(){var define,module,exports;return function e(t,n,r){function s(o,u){if(!n[o]){if(!t[o]){var a=typeof require=="function"&&require;if(!u&&a)return a(o,!0);if(i)return i(o,!0);var f=new Error("Cannot find module '"+o+"'");throw f.code="MODULE_NOT_FOUND",f}var l=n[o]={exports:{}};t[o][0].call(l.exports,function(e){var n=t[o][1][e];return s(n?n:e)},l,l.exports,e,t,n,r)}return n[o].exports}var i=typeof require=="function"&&require;for(var o=0;o<r.length;o++)s(r[o]);return s}({1:[function(require,module,exports){/**
* @license
* Copyright (c) 2012-2013 Chris Pettitt
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in
* all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
* THE SOFTWARE.
*/
module.exports={graphlib:require("./lib/graphlib"),dagre:require("./lib/dagre"),intersect:require("./lib/intersect"),render:require("./lib/render"),util:require("./lib/util"),version:require("./lib/version")}},{"./lib/dagre":8,"./lib/graphlib":9,"./lib/intersect":10,"./lib/render":23,"./lib/util":25,"./lib/version":26}],2:[function(require,module,exports){var util=require("./util");module.exports={"default":normal,normal:normal,vee:vee,undirected:undirected};function normal(parent,id,edge,type){var marker=parent.append("marker").attr("id",id).attr("viewBox","0 0 10 10").attr("refX",9).attr("refY",5).attr("markerUnits","strokeWidth").attr("markerWidth",8).attr("markerHeight",6).attr("orient","auto");var path=marker.append("path").attr("d","M 0 0 L 10 5 L 0 10 z").style("stroke-width",1).style("stroke-dasharray","1,0");util.applyStyle(path,edge[type+"Style"])}function vee(parent,id,edge,type){var marker=parent.append("marker").attr("id",id).attr("viewBox","0 0 10 10").attr("refX",9).attr("refY",5).attr("markerUnits","strokeWidth").attr("markerWidth",8).attr("markerHeight",6).attr("orient","auto");var path=marker.append("path").attr("d","M 0 0 L 10 5 L 0 10 L 4 5 z").style("stroke-width",1).style("stroke-dasharray","1,0");util.applyStyle(path,edge[type+"Style"])}function undirected(parent,id,edge,type){var marker=parent.append("marker").attr("id",id).attr("viewBox","0 0 10 10").attr("refX",9).attr("refY",5).attr("markerUnits","strokeWidth").attr("markerWidth",8).attr("markerHeight",6).attr("orient","auto");var path=marker.append("path").attr("d","M 0 5 L 10 5").style("stroke-width",1).style("stroke-dasharray","1,0");util.applyStyle(path,edge[type+"Style"])}},{"./util":25}],3:[function(require,module,exports){var util=require("./util");module.exports=createClusters;function createClusters(selection,g){var clusters=g.nodes().filter(function(v){return util.isSubgraph(g,v)}),svgClusters=selection.selectAll("g.cluster").data(clusters,function(v){return v});svgClusters.enter().append("g").attr("class","cluster").style("opacity",0).append("rect");util.applyTransition(svgClusters.exit(),g).style("opacity",0).remove();util.applyTransition(svgClusters,g).style("opacity",1);util.applyTransition(svgClusters.selectAll("rect"),g).attr("width",function(v){return g.node(v).width}).attr("height",function(v){return g.node(v).height}).attr("x",function(v){var node=g.node(v);return node.x-node.width/2}).attr("y",function(v){var node=g.node(v);return node.y-node.height/2})}},{"./util":25}],4:[function(require,module,exports){"use strict";var _=require("./lodash"),addLabel=require("./label/add-label"),util=require("./util"),d3=require("./d3");module.exports=createEdgeLabels;function createEdgeLabels(selection,g){var svgEdgeLabels=selection.selectAll("g.edgeLabel").data(g.edges(),function(e){return util.edgeToId(e)}).classed("update",true);svgEdgeLabels.selectAll("*").remove();svgEdgeLabels.enter().append("g").classed("edgeLabel",true).style("opacity",0);svgEdgeLabels.each(function(e){var edge=g.edge(e),label=addLabel(d3.select(this),g.edge(e),0,0).classed("label",true),bbox=label.node().getBBox();if(edge.labelId){label.attr("id",edge.labelId)}if(!_.has(edge,"width")){edge.width=bbox.width}if(!_.has(edge,"height")){edge.height=bbox.height}});util.applyTransition(svgEdgeLabels.exit(),g).style("opacity",0).remove();return svgEdgeLabels}},{"./d3":7,"./label/add-label":18,"./lodash":20,"./util":25}],5:[function(require,module,exports){"use strict";var _=require("./lodash"),intersectNode=require("./intersect/intersect-node"),util=require("./util"),d3=require("./d3");module.exports=createEdgePaths;function createEdgePaths(selection,g,arrows){var svgPaths=selection.selectAll("g.edgePath").data(g.edges(),function(e){return util.edgeToId(e)}).classed("update",true);enter(svgPaths,g);exit(svgPaths,g);util.applyTransition(svgPaths,g).style("opacity",1);svgPaths.each(function(e){var edge=g.edge(e);edge.elem=this;if(edge.id){d3.select(this).attr("id",edge.id)}});svgPaths.selectAll("path.path").each(function(e){var edge=g.edge(e);edge.arrowheadId=_.uniqueId("arrowhead");var domEdge=d3.select(this).attr("marker-end",function(){return"url(#"+edge.arrowheadId+")"}).style("fill","none");util.applyTransition(domEdge,g).attr("d",function(e){return calcPoints(g,e)});util.applyStyle(domEdge,edge.style)});svgPaths.selectAll("defs *").remove();svgPaths.selectAll("defs").each(function(e){var edge=g.edge(e),arrowhead=arrows[edge.arrowhead];arrowhead(d3.select(this),edge.arrowheadId,edge,"arrowhead")});return svgPaths}function calcPoints(g,e){var edge=g.edge(e),tail=g.node(e.v),head=g.node(e.w),points=edge.points.slice(1,edge.points.length-1);points.unshift(intersectNode(tail,points[0]));points.push(intersectNode(head,points[points.length-1]));return createLine(edge,points)}function createLine(edge,points){var line=d3.svg.line().x(function(d){return d.x}).y(function(d){return d.y});if(_.has(edge,"lineInterpolate")){line.interpolate(edge.lineInterpolate)}if(_.has(edge,"lineTension")){line.tension(Number(edge.lineTension))}return line(points)}function getCoords(elem){var bbox=elem.getBBox(),matrix=elem.getTransformToElement(elem.ownerSVGElement).translate(bbox.width/2,bbox.height/2);return{x:matrix.e,y:matrix.f}}function enter(svgPaths,g){var svgPathsEnter=svgPaths.enter().append("g").attr("class","edgePath").style("opacity",0);svgPathsEnter.append("path").attr("class","path").attr("d",function(e){var edge=g.edge(e),sourceElem=g.node(e.v).elem,points=_.range(edge.points.length).map(function(){return getCoords(sourceElem)});return createLine(edge,points)});svgPathsEnter.append("defs")}function exit(svgPaths,g){var svgPathExit=svgPaths.exit();util.applyTransition(svgPathExit,g).style("opacity",0).remove();util.applyTransition(svgPathExit.select("path.path"),g).attr("d",function(e){var source=g.node(e.v);if(source){var points=_.range(this.pathSegList.length).map(function(){return source});return createLine({},points)}else{return d3.select(this).attr("d")}})}},{"./d3":7,"./intersect/intersect-node":14,"./lodash":20,"./util":25}],6:[function(require,module,exports){"use strict";var _=require("./lodash"),addLabel=require("./label/add-label"),util=require("./util"),d3=require("./d3");module.exports=createNodes;function createNodes(selection,g,shapes){var simpleNodes=g.nodes().filter(function(v){return!util.isSubgraph(g,v)});var svgNodes=selection.selectAll("g.node").data(simpleNodes,function(v){return v}).classed("update",true);svgNodes.selectAll("*").remove();svgNodes.enter().append("g").attr("class","node").style("opacity",0);svgNodes.each(function(v){var node=g.node(v),thisGroup=d3.select(this),labelGroup=thisGroup.append("g").attr("class","label"),labelDom=addLabel(labelGroup,node),shape=shapes[node.shape],bbox=_.pick(labelDom.node().getBBox(),"width","height");node.elem=this;if(node.id){thisGroup.attr("id",node.id)}if(node.labelId){labelGroup.attr("id",node.labelId)}util.applyClass(thisGroup,node["class"],(thisGroup.classed("update")?"update ":"")+"node");if(_.has(node,"width")){bbox.width=node.width}if(_.has(node,"height")){bbox.height=node.height}bbox.width+=node.paddingLeft+node.paddingRight;bbox.height+=node.paddingTop+node.paddingBottom;labelGroup.attr("transform","translate("+(node.paddingLeft-node.paddingRight)/2+","+(node.paddingTop-node.paddingBottom)/2+")");var shapeSvg=shape(d3.select(this),bbox,node);util.applyStyle(shapeSvg,node.style);var shapeBBox=shapeSvg.node().getBBox();node.width=shapeBBox.width;node.height=shapeBBox.height});util.applyTransition(svgNodes.exit(),g).style("opacity",0).remove();return svgNodes}},{"./d3":7,"./label/add-label":18,"./lodash":20,"./util":25}],7:[function(require,module,exports){module.exports=window.d3},{}],8:[function(require,module,exports){var dagre;if(require){try{dagre=require("dagre")}catch(e){}}if(!dagre){dagre=window.dagre}module.exports=dagre},{dagre:27}],9:[function(require,module,exports){var graphlib;if(require){try{graphlib=require("graphlib")}catch(e){}}if(!graphlib){graphlib=window.graphlib}module.exports=graphlib},{graphlib:57}],10:[function(require,module,exports){module.exports={node:require("./intersect-node"),circle:require("./intersect-circle"),ellipse:require("./intersect-ellipse"),polygon:require("./intersect-polygon"),rect:require("./intersect-rect")}},{"./intersect-circle":11,"./intersect-ellipse":12,"./intersect-node":14,"./intersect-polygon":15,"./intersect-rect":16}],11:[function(require,module,exports){var intersectEllipse=require("./intersect-ellipse");module.exports=intersectCircle;function intersectCircle(node,rx,point){return intersectEllipse(node,rx,rx,point)}},{"./intersect-ellipse":12}],12:[function(require,module,exports){module.exports=intersectEllipse;function intersectEllipse(node,rx,ry,point){var cx=node.x;var cy=node.y;var px=cx-point.x;var py=cy-point.y;var det=Math.sqrt(rx*rx*py*py+ry*ry*px*px);var dx=Math.abs(rx*ry*px/det);if(point.x<cx){dx=-dx}var dy=Math.abs(rx*ry*py/det);if(point.y<cy){dy=-dy}return{x:cx+dx,y:cy+dy}}},{}],13:[function(require,module,exports){module.exports=intersectLine;function intersectLine(p1,p2,q1,q2){var a1,a2,b1,b2,c1,c2;var r1,r2,r3,r4;var denom,offset,num;var x,y;a1=p2.y-p1.y;b1=p1.x-p2.x;c1=p2.x*p1.y-p1.x*p2.y;r3=a1*q1.x+b1*q1.y+c1;r4=a1*q2.x+b1*q2.y+c1;if(r3!==0&&r4!==0&&sameSign(r3,r4)){return}a2=q2.y-q1.y;b2=q1.x-q2.x;c2=q2.x*q1.y-q1.x*q2.y;r1=a2*p1.x+b2*p1.yy+c2;r2=a2*p2.x+b2*p2.y+c2;if(r1!==0&&r2!==0&&sameSign(r1,r2)){return}denom=a1*b2-a2*b1;if(denom===0){return}offset=Math.abs(denom/2);num=b1*c2-b2*c1;x=num<0?(num-offset)/denom:(num+offset)/denom;num=a2*c1-a1*c2;y=num<0?(num-offset)/denom:(num+offset)/denom;return{x:x,y:y}}function sameSign(r1,r2){return r1*r2>0}},{}],14:[function(require,module,exports){module.exports=intersectNode;function intersectNode(node,point){return node.intersect(point)}},{}],15:[function(require,module,exports){var intersectLine=require("./intersect-line");module.exports=intersectPolygon;function intersectPolygon(node,polyPoints,point){var x1=node.x;var y1=node.y;var intersections=[];var minX=Number.POSITIVE_INFINITY,minY=Number.POSITIVE_INFINITY;polyPoints.forEach(function(entry){minX=Math.min(minX,entry.x);minY=Math.min(minY,entry.y)});var left=x1-node.width/2-minX;var top=y1-node.height/2-minY;for(var i=0;i<polyPoints.length;i++){var p1=polyPoints[i];var p2=polyPoints[i<polyPoints.length-1?i+1:0];var intersect=intersectLine(node,point,{x:left+p1.x,y:top+p1.y},{x:left+p2.x,y:top+p2.y});if(intersect){intersections.push(intersect)}}if(!intersections.length){console.log("NO INTERSECTION FOUND, RETURN NODE CENTER",node);return node}if(intersections.length>1){intersections.sort(function(p,q){var pdx=p.x-point.x,pdy=p.y-point.y,distp=Math.sqrt(pdx*pdx+pdy*pdy),qdx=q.x-point.x,qdy=q.y-point.y,distq=Math.sqrt(qdx*qdx+qdy*qdy);return distp<distq?-1:distp===distq?0:1})}return intersections[0]}},{"./intersect-line":13}],16:[function(require,module,exports){module.exports=intersectRect;function intersectRect(node,point){var x=node.x;var y=node.y;var dx=point.x-x;var dy=point.y-y;var w=node.width/2;var h=node.height/2;var sx,sy;if(Math.abs(dy)*w>Math.abs(dx)*h){if(dy<0){h=-h}sx=dy===0?0:h*dx/dy;sy=h}else{if(dx<0){w=-w}sx=w;sy=dx===0?0:w*dy/dx}return{x:x+sx,y:y+sy}}},{}],17:[function(require,module,exports){var util=require("../util");module.exports=addHtmlLabel;function addHtmlLabel(root,node){var fo=root.append("foreignObject").attr("width","100000");var div=fo.append("xhtml:div");var label=node.label;switch(typeof label){case"function":div.insert(label);break;case"object":div.insert(function(){return label});break;default:div.html(label)}util.applyStyle(div,node.labelStyle);div.style("display","inline-block");div.style("white-space","nowrap");var w,h;div.each(function(){w=this.clientWidth;h=this.clientHeight});fo.attr("width",w).attr("height",h);return fo}},{"../util":25}],18:[function(require,module,exports){var addTextLabel=require("./add-text-label"),addHtmlLabel=require("./add-html-label");module.exports=addLabel;function addLabel(root,node){var label=node.label;var labelSvg=root.append("g");if(typeof label!=="string"||node.labelType==="html"){addHtmlLabel(labelSvg,node)}else{addTextLabel(labelSvg,node)}var labelBBox=labelSvg.node().getBBox();labelSvg.attr("transform","translate("+-labelBBox.width/2+","+-labelBBox.height/2+")");return labelSvg}},{"./add-html-label":17,"./add-text-label":19}],19:[function(require,module,exports){var util=require("../util");module.exports=addTextLabel;function addTextLabel(root,node){var domNode=root.append("text");var lines=processEscapeSequences(node.label).split("\n");for(var i=0;i<lines.length;i++){domNode.append("tspan").attr("xml:space","preserve").attr("dy","1em").attr("x","1").text(lines[i])}util.applyStyle(domNode,node.labelStyle);return domNode}function processEscapeSequences(text){var newText="",escaped=false,ch;for(var i=0;i<text.length;++i){ch=text[i];if(escaped){switch(ch){case"n":newText+="\n";break;default:newText+=ch}escaped=false}else if(ch==="\\"){escaped=true}else{newText+=ch}}return newText}},{"../util":25}],20:[function(require,module,exports){var lodash;if(require){try{lodash=require("lodash")}catch(e){}}if(!lodash){lodash=window._}module.exports=lodash},{lodash:77}],21:[function(require,module,exports){"use strict";var util=require("./util"),d3=require("./d3"),_=require("./lodash");module.exports=positionEdgeLabels;function positionEdgeLabels(selection,g){var created=selection.filter(function(){return!d3.select(this).classed("update")});function translate(e){var edge=g.edge(e);return _.has(edge,"x")?"translate("+edge.x+","+edge.y+")":""}created.attr("transform",translate);util.applyTransition(selection,g).style("opacity",1).attr("transform",translate)}},{"./d3":7,"./lodash":20,"./util":25}],22:[function(require,module,exports){"use strict";var util=require("./util"),d3=require("./d3");module.exports=positionNodes;function positionNodes(selection,g){var created=selection.filter(function(){return!d3.select(this).classed("update")});function translate(v){var node=g.node(v);return"translate("+node.x+","+node.y+")"}created.attr("transform",translate);util.applyTransition(selection,g).style("opacity",1).attr("transform",translate)}},{"./d3":7,"./util":25}],23:[function(require,module,exports){var _=require("./lodash"),layout=require("./dagre").layout;module.exports=render;function render(){var createNodes=require("./create-nodes"),createClusters=require("./create-clusters"),createEdgeLabels=require("./create-edge-labels"),createEdgePaths=require("./create-edge-paths"),positionNodes=require("./position-nodes"),positionEdgeLabels=require("./position-edge-labels"),shapes=require("./shapes"),arrows=require("./arrows");var fn=function(svg,g){preProcessGraph(g);var outputGroup=createOrSelectGroup(svg,"output"),clustersGroup=createOrSelectGroup(outputGroup,"clusters"),edgePathsGroup=createOrSelectGroup(outputGroup,"edgePaths"),edgeLabels=createEdgeLabels(createOrSelectGroup(outputGroup,"edgeLabels"),g),nodes=createNodes(createOrSelectGroup(outputGroup,"nodes"),g,shapes);layout(g);positionNodes(nodes,g);positionEdgeLabels(edgeLabels,g);createEdgePaths(edgePathsGroup,g,arrows);createClusters(clustersGroup,g);postProcessGraph(g)};fn.createNodes=function(value){if(!arguments.length)return createNodes;createNodes=value;return fn};fn.createClusters=function(value){if(!arguments.length)return createClusters;createClusters=value;return fn};fn.createEdgeLabels=function(value){if(!arguments.length)return createEdgeLabels;createEdgeLabels=value;return fn};fn.createEdgePaths=function(value){if(!arguments.length)return createEdgePaths;createEdgePaths=value;return fn};fn.shapes=function(value){if(!arguments.length)return shapes;shapes=value;return fn};fn.arrows=function(value){if(!arguments.length)return arrows;arrows=value;return fn};return fn}var NODE_DEFAULT_ATTRS={paddingLeft:10,paddingRight:10,paddingTop:10,paddingBottom:10,rx:0,ry:0,shape:"rect"};var EDGE_DEFAULT_ATTRS={arrowhead:"normal",lineInterpolate:"linear"};function preProcessGraph(g){g.nodes().forEach(function(v){var node=g.node(v);if(!_.has(node,"label")){node.label=v}if(_.has(node,"paddingX")){_.defaults(node,{paddingLeft:node.paddingX,paddingRight:node.paddingX})}if(_.has(node,"paddingY")){_.defaults(node,{paddingTop:node.paddingY,paddingBottom:node.paddingY})}if(_.has(node,"padding")){_.defaults(node,{paddingLeft:node.padding,paddingRight:node.padding,paddingTop:node.padding,paddingBottom:node.padding})}_.defaults(node,NODE_DEFAULT_ATTRS);_.each(["paddingLeft","paddingRight","paddingTop","paddingBottom"],function(k){node[k]=Number(node[k])});if(_.has(node,"width")){node._prevWidth=node.width}if(_.has(node,"height")){node._prevHeight=node.height}});g.edges().forEach(function(e){var edge=g.edge(e);if(!_.has(edge,"label")){edge.label=""}_.defaults(edge,EDGE_DEFAULT_ATTRS)})}function postProcessGraph(g){_.each(g.nodes(),function(v){var node=g.node(v);if(_.has(node,"_prevWidth")){node.width=node._prevWidth}else{delete node.width}if(_.has(node,"_prevHeight")){node.height=node._prevHeight}else{delete node.height}delete node._prevWidth;delete node._prevHeight})}function createOrSelectGroup(root,name){var selection=root.select("g."+name);if(selection.empty()){selection=root.append("g").attr("class",name)}return selection}},{"./arrows":2,"./create-clusters":3,"./create-edge-labels":4,"./create-edge-paths":5,"./create-nodes":6,"./dagre":8,"./lodash":20,"./position-edge-labels":21,"./position-nodes":22,"./shapes":24}],24:[function(require,module,exports){"use strict";var intersectRect=require("./intersect/intersect-rect"),intersectEllipse=require("./intersect/intersect-ellipse"),intersectCircle=require("./intersect/intersect-circle"),intersectPolygon=require("./intersect/intersect-polygon");module.exports={rect:rect,ellipse:ellipse,circle:circle,diamond:diamond};function rect(parent,bbox,node){var shapeSvg=parent.insert("rect",":first-child").attr("rx",node.rx).attr("ry",node.ry).attr("x",-bbox.width/2).attr("y",-bbox.height/2).attr("width",bbox.width).attr("height",bbox.height);node.intersect=function(point){return intersectRect(node,point)};return shapeSvg}function ellipse(parent,bbox,node){var rx=bbox.width/2,ry=bbox.height/2,shapeSvg=parent.insert("ellipse",":first-child").attr("x",-bbox.width/2).attr("y",-bbox.height/2).attr("rx",rx).attr("ry",ry);node.intersect=function(point){return intersectEllipse(node,rx,ry,point)};return shapeSvg}function circle(parent,bbox,node){var r=Math.max(bbox.width,bbox.height)/2,shapeSvg=parent.insert("circle",":first-child").attr("x",-bbox.width/2).attr("y",-bbox.height/2).attr("r",r);node.intersect=function(point){return intersectCircle(node,r,point)};return shapeSvg}function diamond(parent,bbox,node){var w=bbox.width*Math.SQRT2/2,h=bbox.height*Math.SQRT2/2,points=[{x:0,y:-h},{x:-w,y:0},{x:0,y:h},{x:w,y:0}],shapeSvg=parent.insert("polygon",":first-child").attr("points",points.map(function(p){return p.x+","+p.y}).join(" "));node.intersect=function(p){return intersectPolygon(node,points,p)};return shapeSvg}},{"./intersect/intersect-circle":11,"./intersect/intersect-ellipse":12,"./intersect/intersect-polygon":15,"./intersect/intersect-rect":16}],25:[function(require,module,exports){var _=require("./lodash");module.exports={isSubgraph:isSubgraph,edgeToId:edgeToId,applyStyle:applyStyle,applyClass:applyClass,applyTransition:applyTransition};function isSubgraph(g,v){return!!g.children(v).length}function edgeToId(e){return escapeId(e.v)+":"+escapeId(e.w)+":"+escapeId(e.name)}var ID_DELIM=/:/g;function escapeId(str){return str?String(str).replace(ID_DELIM,"\\:"):""}function applyStyle(dom,styleFn){if(styleFn){dom.attr("style",styleFn)}}function applyClass(dom,classFn,otherClasses){if(classFn){dom.attr("class",classFn).attr("class",otherClasses+" "+dom.attr("class"))}}function applyTransition(selection,g){var graph=g.graph();if(_.isPlainObject(graph)){var transition=graph.transition;if(_.isFunction(transition)){return transition(selection)}}return selection}},{"./lodash":20}],26:[function(require,module,exports){module.exports="0.4.2"},{}],27:[function(require,module,exports){module.exports={graphlib:require("./lib/graphlib"),layout:require("./lib/layout"),debug:require("./lib/debug"),util:{time:require("./lib/util").time,notime:require("./lib/util").notime},version:require("./lib/version")}},{"./lib/debug":32,"./lib/graphlib":33,"./lib/layout":35,"./lib/util":55,"./lib/version":56}],28:[function(require,module,exports){"use strict";var _=require("./lodash"),greedyFAS=require("./greedy-fas");module.exports={run:run,undo:undo};function run(g){var fas=g.graph().acyclicer==="greedy"?greedyFAS(g,weightFn(g)):dfsFAS(g);_.each(fas,function(e){var label=g.edge(e);g.removeEdge(e);label.forwardName=e.name;label.reversed=true;g.setEdge(e.w,e.v,label,_.uniqueId("rev"))});function weightFn(g){return function(e){return g.edge(e).weight}}}function dfsFAS(g){var fas=[],stack={},visited={};function dfs(v){if(_.has(visited,v)){return}visited[v]=true;stack[v]=true;_.each(g.outEdges(v),function(e){if(_.has(stack,e.w)){fas.push(e)}else{dfs(e.w)}});delete stack[v]}_.each(g.nodes(),dfs);return fas}function undo(g){_.each(g.edges(),function(e){var label=g.edge(e);if(label.reversed){g.removeEdge(e);var forwardName=label.forwardName;delete label.reversed;delete label.forwardName;g.setEdge(e.w,e.v,label,forwardName)}})}},{"./greedy-fas":34,"./lodash":36}],29:[function(require,module,exports){var _=require("./lodash"),util=require("./util");module.exports=addBorderSegments;function addBorderSegments(g){function dfs(v){var children=g.children(v),node=g.node(v);if(children.length){_.each(children,dfs)}if(_.has(node,"minRank")){node.borderLeft=[];node.borderRight=[];for(var rank=node.minRank,maxRank=node.maxRank+1;rank<maxRank;++rank){addBorderNode(g,"borderLeft","_bl",v,node,rank);addBorderNode(g,"borderRight","_br",v,node,rank)}}}_.each(g.children(),dfs)}function addBorderNode(g,prop,prefix,sg,sgNode,rank){var label={width:0,height:0,rank:rank},prev=sgNode[prop][rank-1],curr=util.addDummyNode(g,"border",label,prefix);sgNode[prop][rank]=curr;g.setParent(curr,sg);if(prev){g.setEdge(prev,curr,{weight:1})}}},{"./lodash":36,"./util":55}],30:[function(require,module,exports){"use strict";var _=require("./lodash");module.exports={adjust:adjust,undo:undo};function adjust(g){var rankDir=g.graph().rankdir.toLowerCase();if(rankDir==="lr"||rankDir==="rl"){swapWidthHeight(g)}}function undo(g){var rankDir=g.graph().rankdir.toLowerCase();if(rankDir==="bt"||rankDir==="rl"){reverseY(g)}if(rankDir==="lr"||rankDir==="rl"){swapXY(g);swapWidthHeight(g)}}function swapWidthHeight(g){_.each(g.nodes(),function(v){swapWidthHeightOne(g.node(v))});_.each(g.edges(),function(e){swapWidthHeightOne(g.edge(e))})}function swapWidthHeightOne(attrs){var w=attrs.width;attrs.width=attrs.height;attrs.height=w}function reverseY(g){_.each(g.nodes(),function(v){reverseYOne(g.node(v))});_.each(g.edges(),function(e){var edge=g.edge(e);_.each(edge.points,reverseYOne);if(_.has(edge,"y")){reverseYOne(edge)}})}function reverseYOne(attrs){attrs.y=-attrs.y}function swapXY(g){_.each(g.nodes(),function(v){swapXYOne(g.node(v))});_.each(g.edges(),function(e){var edge=g.edge(e);_.each(edge.points,swapXYOne);if(_.has(edge,"x")){swapXYOne(edge)}})}function swapXYOne(attrs){var x=attrs.x;attrs.x=attrs.y;attrs.y=x}},{"./lodash":36}],31:[function(require,module,exports){module.exports=List;function List(){var sentinel={};sentinel._next=sentinel._prev=sentinel;this._sentinel=sentinel}List.prototype.dequeue=function(){var sentinel=this._sentinel,entry=sentinel._prev;if(entry!==sentinel){unlink(entry);return entry}};List.prototype.enqueue=function(entry){var sentinel=this._sentinel;if(entry._prev&&entry._next){unlink(entry)}entry._next=sentinel._next;sentinel._next._prev=entry;sentinel._next=entry;entry._prev=sentinel};List.prototype.toString=function(){var strs=[],sentinel=this._sentinel,curr=sentinel._prev;while(curr!==sentinel){strs.push(JSON.stringify(curr,filterOutLinks));curr=curr._prev}return"["+strs.join(", ")+"]"};function unlink(entry){entry._prev._next=entry._next;entry._next._prev=entry._prev;delete entry._next;delete entry._prev}function filterOutLinks(k,v){if(k!=="_next"&&k!=="_prev"){return v}}},{}],32:[function(require,module,exports){var _=require("./lodash"),util=require("./util"),Graph=require("./graphlib").Graph;module.exports={debugOrdering:debugOrdering};function debugOrdering(g){var layerMatrix=util.buildLayerMatrix(g);var h=new Graph({compound:true,multigraph:true}).setGraph({});_.each(g.nodes(),function(v){h.setNode(v,{label:v});h.setParent(v,"layer"+g.node(v).rank)});_.each(g.edges(),function(e){h.setEdge(e.v,e.w,{},e.name)});_.each(layerMatrix,function(layer,i){var layerV="layer"+i;h.setNode(layerV,{rank:"same"});_.reduce(layer,function(u,v){h.setEdge(u,v,{style:"invis"});return v})});return h}},{"./graphlib":33,"./lodash":36,"./util":55}],33:[function(require,module,exports){module.exports=require(9)},{"/Users/cpettitt/projects/dagre-d3/lib/graphlib.js":9,graphlib:57}],34:[function(require,module,exports){var _=require("./lodash"),Graph=require("./graphlib").Graph,List=require("./data/list");module.exports=greedyFAS;var DEFAULT_WEIGHT_FN=_.constant(1);function greedyFAS(g,weightFn){if(g.nodeCount()<=1){return[]}var state=buildState(g,weightFn||DEFAULT_WEIGHT_FN);var results=doGreedyFAS(state.graph,state.buckets,state.zeroIdx);return _.flatten(_.map(results,function(e){return g.outEdges(e.v,e.w)}),true)}function doGreedyFAS(g,buckets,zeroIdx){var results=[],sources=buckets[buckets.length-1],sinks=buckets[0];var entry;while(g.nodeCount()){while(entry=sinks.dequeue()){removeNode(g,buckets,zeroIdx,entry)}while(entry=sources.dequeue()){removeNode(g,buckets,zeroIdx,entry)}if(g.nodeCount()){for(var i=buckets.length-2;i>0;--i){entry=buckets[i].dequeue();if(entry){results=results.concat(removeNode(g,buckets,zeroIdx,entry,true));break}}}}return results}function removeNode(g,buckets,zeroIdx,entry,collectPredecessors){var results=collectPredecessors?[]:undefined;_.each(g.inEdges(entry.v),function(edge){var weight=g.edge(edge),uEntry=g.node(edge.v);if(collectPredecessors){results.push({v:edge.v,w:edge.w})}uEntry.out-=weight;assignBucket(buckets,zeroIdx,uEntry)});_.each(g.outEdges(entry.v),function(edge){var weight=g.edge(edge),w=edge.w,wEntry=g.node(w);wEntry["in"]-=weight;assignBucket(buckets,zeroIdx,wEntry)});g.removeNode(entry.v);return results}function buildState(g,weightFn){var fasGraph=new Graph,maxIn=0,maxOut=0;_.each(g.nodes(),function(v){fasGraph.setNode(v,{v:v,"in":0,out:0})});_.each(g.edges(),function(e){var prevWeight=fasGraph.edge(e.v,e.w)||0,weight=weightFn(e),edgeWeight=prevWeight+weight;fasGraph.setEdge(e.v,e.w,edgeWeight);maxOut=Math.max(maxOut,fasGraph.node(e.v).out+=weight);maxIn=Math.max(maxIn,fasGraph.node(e.w)["in"]+=weight)});var buckets=_.range(maxOut+maxIn+3).map(function(){return new List});var zeroIdx=maxIn+1;_.each(fasGraph.nodes(),function(v){assignBucket(buckets,zeroIdx,fasGraph.node(v))});return{graph:fasGraph,buckets:buckets,zeroIdx:zeroIdx}}function assignBucket(buckets,zeroIdx,entry){if(!entry.out){buckets[0].enqueue(entry)}else if(!entry["in"]){buckets[buckets.length-1].enqueue(entry)}else{buckets[entry.out-entry["in"]+zeroIdx].enqueue(entry)}}},{"./data/list":31,"./graphlib":33,"./lodash":36}],35:[function(require,module,exports){"use strict";var _=require("./lodash"),acyclic=require("./acyclic"),normalize=require("./normalize"),rank=require("./rank"),normalizeRanks=require("./util").normalizeRanks,parentDummyChains=require("./parent-dummy-chains"),removeEmptyRanks=require("./util").removeEmptyRanks,nestingGraph=require("./nesting-graph"),addBorderSegments=require("./add-border-segments"),coordinateSystem=require("./coordinate-system"),order=require("./order"),position=require("./position"),util=require("./util"),Graph=require("./graphlib").Graph;module.exports=layout;function layout(g,opts){var time=opts&&opts.debugTiming?util.time:util.notime;time("layout",function(){var layoutGraph=time(" buildLayoutGraph",function(){return buildLayoutGraph(g)});time(" runLayout",function(){runLayout(layoutGraph,time)});time(" updateInputGraph",function(){updateInputGraph(g,layoutGraph)})})}function runLayout(g,time){time(" makeSpaceForEdgeLabels",function(){makeSpaceForEdgeLabels(g)});time(" removeSelfEdges",function(){removeSelfEdges(g)});time(" acyclic",function(){acyclic.run(g)});time(" nestingGraph.run",function(){nestingGraph.run(g)});time(" rank",function(){rank(util.asNonCompoundGraph(g))});time(" injectEdgeLabelProxies",function(){injectEdgeLabelProxies(g)});time(" removeEmptyRanks",function(){removeEmptyRanks(g)});time(" nestingGraph.cleanup",function(){nestingGraph.cleanup(g)});time(" normalizeRanks",function(){normalizeRanks(g)});time(" assignRankMinMax",function(){assignRankMinMax(g)});time(" removeEdgeLabelProxies",function(){removeEdgeLabelProxies(g)});time(" normalize.run",function(){normalize.run(g)});time(" parentDummyChains",function(){parentDummyChains(g)});time(" addBorderSegments",function(){addBorderSegments(g)});time(" order",function(){order(g)});time(" insertSelfEdges",function(){insertSelfEdges(g)});time(" adjustCoordinateSystem",function(){coordinateSystem.adjust(g)});time(" position",function(){position(g)});time(" positionSelfEdges",function(){positionSelfEdges(g)});time(" removeBorderNodes",function(){removeBorderNodes(g)});time(" normalize.undo",function(){normalize.undo(g)});time(" fixupEdgeLabelCoords",function(){fixupEdgeLabelCoords(g)});time(" undoCoordinateSystem",function(){coordinateSystem.undo(g)});time(" translateGraph",function(){translateGraph(g)});time(" assignNodeIntersects",function(){assignNodeIntersects(g)});time(" reversePoints",function(){reversePointsForReversedEdges(g)});time(" acyclic.undo",function(){acyclic.undo(g)})}function updateInputGraph(inputGraph,layoutGraph){_.each(inputGraph.nodes(),function(v){var inputLabel=inputGraph.node(v),layoutLabel=layoutGraph.node(v);if(inputLabel){inputLabel.x=layoutLabel.x;inputLabel.y=layoutLabel.y;if(layoutGraph.children(v).length){inputLabel.width=layoutLabel.width;inputLabel.height=layoutLabel.height}}});_.each(inputGraph.edges(),function(e){var inputLabel=inputGraph.edge(e),layoutLabel=layoutGraph.edge(e);inputLabel.points=layoutLabel.points;if(_.has(layoutLabel,"x")){inputLabel.x=layoutLabel.x;inputLabel.y=layoutLabel.y}});inputGraph.graph().width=layoutGraph.graph().width;inputGraph.graph().height=layoutGraph.graph().height}var graphNumAttrs=["nodesep","edgesep","ranksep","marginx","marginy"],graphDefaults={ranksep:50,edgesep:20,nodesep:50,rankdir:"tb"},graphAttrs=["acyclicer","ranker","rankdir","align"],nodeNumAttrs=["width","height"],nodeDefaults={width:0,height:0},edgeNumAttrs=["minlen","weight","width","height","labeloffset"],edgeDefaults={minlen:1,weight:1,width:0,height:0,labeloffset:10,labelpos:"r"},edgeAttrs=["labelpos"];function buildLayoutGraph(inputGraph){var g=new Graph({multigraph:true,compound:true}),graph=canonicalize(inputGraph.graph());g.setGraph(_.merge({},graphDefaults,selectNumberAttrs(graph,graphNumAttrs),_.pick(graph,graphAttrs)));_.each(inputGraph.nodes(),function(v){var node=canonicalize(inputGraph.node(v));g.setNode(v,_.defaults(selectNumberAttrs(node,nodeNumAttrs),nodeDefaults));g.setParent(v,inputGraph.parent(v))});_.each(inputGraph.edges(),function(e){var edge=canonicalize(inputGraph.edge(e));g.setEdge(e,_.merge({},edgeDefaults,selectNumberAttrs(edge,edgeNumAttrs),_.pick(edge,edgeAttrs)))});return g}function makeSpaceForEdgeLabels(g){var graph=g.graph();graph.ranksep/=2;_.each(g.edges(),function(e){var edge=g.edge(e);edge.minlen*=2;if(edge.labelpos.toLowerCase()!=="c"){if(graph.rankdir==="TB"||graph.rankdir==="BT"){edge.width+=edge.labeloffset}else{edge.height+=edge.labeloffset}}})}function injectEdgeLabelProxies(g){_.each(g.edges(),function(e){var edge=g.edge(e);
if(edge.width&&edge.height){var v=g.node(e.v),w=g.node(e.w),label={rank:(w.rank-v.rank)/2+v.rank,e:e};util.addDummyNode(g,"edge-proxy",label,"_ep")}})}function assignRankMinMax(g){var maxRank=0;_.each(g.nodes(),function(v){var node=g.node(v);if(node.borderTop){node.minRank=g.node(node.borderTop).rank;node.maxRank=g.node(node.borderBottom).rank;maxRank=_.max(maxRank,node.maxRank)}});g.graph().maxRank=maxRank}function removeEdgeLabelProxies(g){_.each(g.nodes(),function(v){var node=g.node(v);if(node.dummy==="edge-proxy"){g.edge(node.e).labelRank=node.rank;g.removeNode(v)}})}function translateGraph(g){var minX=Number.POSITIVE_INFINITY,maxX=0,minY=Number.POSITIVE_INFINITY,maxY=0,graphLabel=g.graph(),marginX=graphLabel.marginx||0,marginY=graphLabel.marginy||0;function getExtremes(attrs){var x=attrs.x,y=attrs.y,w=attrs.width,h=attrs.height;minX=Math.min(minX,x-w/2);maxX=Math.max(maxX,x+w/2);minY=Math.min(minY,y-h/2);maxY=Math.max(maxY,y+h/2)}_.each(g.nodes(),function(v){getExtremes(g.node(v))});_.each(g.edges(),function(e){var edge=g.edge(e);if(_.has(edge,"x")){getExtremes(edge)}});minX-=marginX;minY-=marginY;_.each(g.nodes(),function(v){var node=g.node(v);node.x-=minX;node.y-=minY});_.each(g.edges(),function(e){var edge=g.edge(e);_.each(edge.points,function(p){p.x-=minX;p.y-=minY});if(_.has(edge,"x")){edge.x-=minX}if(_.has(edge,"y")){edge.y-=minY}});graphLabel.width=maxX-minX+marginX;graphLabel.height=maxY-minY+marginY}function assignNodeIntersects(g){_.each(g.edges(),function(e){var edge=g.edge(e),nodeV=g.node(e.v),nodeW=g.node(e.w),p1,p2;if(!edge.points){edge.points=[];p1=nodeW;p2=nodeV}else{p1=edge.points[0];p2=edge.points[edge.points.length-1]}edge.points.unshift(util.intersectRect(nodeV,p1));edge.points.push(util.intersectRect(nodeW,p2))})}function fixupEdgeLabelCoords(g){_.each(g.edges(),function(e){var edge=g.edge(e);if(_.has(edge,"x")){if(edge.labelpos==="l"||edge.labelpos==="r"){edge.width-=edge.labeloffset}switch(edge.labelpos){case"l":edge.x-=edge.width/2+edge.labeloffset;break;case"r":edge.x+=edge.width/2+edge.labeloffset;break}}})}function reversePointsForReversedEdges(g){_.each(g.edges(),function(e){var edge=g.edge(e);if(edge.reversed){edge.points.reverse()}})}function removeBorderNodes(g){_.each(g.nodes(),function(v){if(g.children(v).length){var node=g.node(v),t=g.node(node.borderTop),b=g.node(node.borderBottom),l=g.node(_.last(node.borderLeft)),r=g.node(_.last(node.borderRight));node.width=Math.abs(r.x-l.x);node.height=Math.abs(b.y-t.y);node.x=l.x+node.width/2;node.y=t.y+node.height/2}});_.each(g.nodes(),function(v){if(g.node(v).dummy==="border"){g.removeNode(v)}})}function removeSelfEdges(g){_.each(g.edges(),function(e){if(e.v===e.w){var node=g.node(e.v);if(!node.selfEdges){node.selfEdges=[]}node.selfEdges.push({e:e,label:g.edge(e)});g.removeEdge(e)}})}function insertSelfEdges(g){var layers=util.buildLayerMatrix(g);_.each(layers,function(layer){var orderShift=0;_.each(layer,function(v,i){var node=g.node(v);node.order=i+orderShift;_.each(node.selfEdges,function(selfEdge){util.addDummyNode(g,"selfedge",{width:selfEdge.label.width,height:selfEdge.label.height,rank:node.rank,order:i+ ++orderShift,e:selfEdge.e,label:selfEdge.label},"_se")});delete node.selfEdges})})}function positionSelfEdges(g){_.each(g.nodes(),function(v){var node=g.node(v);if(node.dummy==="selfedge"){var selfNode=g.node(node.e.v),x=selfNode.x+selfNode.width/2,y=selfNode.y,dx=node.x-x,dy=selfNode.height/2;g.setEdge(node.e,node.label);g.removeNode(v);node.label.points=[{x:x+2*dx/3,y:y-dy},{x:x+5*dx/6,y:y-dy},{x:x+dx,y:y},{x:x+5*dx/6,y:y+dy},{x:x+2*dx/3,y:y+dy}];node.label.x=node.x;node.label.y=node.y}})}function selectNumberAttrs(obj,attrs){return _.mapValues(_.pick(obj,attrs),Number)}function canonicalize(attrs){var newAttrs={};_.each(attrs,function(v,k){newAttrs[k.toLowerCase()]=v});return newAttrs}},{"./acyclic":28,"./add-border-segments":29,"./coordinate-system":30,"./graphlib":33,"./lodash":36,"./nesting-graph":37,"./normalize":38,"./order":43,"./parent-dummy-chains":48,"./position":50,"./rank":52,"./util":55}],36:[function(require,module,exports){module.exports=require(20)},{"/Users/cpettitt/projects/dagre-d3/lib/lodash.js":20,lodash:77}],37:[function(require,module,exports){var _=require("./lodash"),util=require("./util");module.exports={run:run,cleanup:cleanup};function run(g){var root=util.addDummyNode(g,"root",{},"_root"),depths=treeDepths(g),height=_.max(depths)-1,nodeSep=2*height+1;g.graph().nestingRoot=root;_.each(g.edges(),function(e){g.edge(e).minlen*=nodeSep});var weight=sumWeights(g)+1;_.each(g.children(),function(child){dfs(g,root,nodeSep,weight,height,depths,child)});g.graph().nodeRankFactor=nodeSep}function dfs(g,root,nodeSep,weight,height,depths,v){var children=g.children(v);if(!children.length){if(v!==root){g.setEdge(root,v,{weight:0,minlen:nodeSep})}return}var top=util.addBorderNode(g,"_bt"),bottom=util.addBorderNode(g,"_bb"),label=g.node(v);g.setParent(top,v);label.borderTop=top;g.setParent(bottom,v);label.borderBottom=bottom;_.each(children,function(child){dfs(g,root,nodeSep,weight,height,depths,child);var childNode=g.node(child),childTop=childNode.borderTop?childNode.borderTop:child,childBottom=childNode.borderBottom?childNode.borderBottom:child,thisWeight=childNode.borderTop?weight:2*weight,minlen=childTop!==childBottom?1:height-depths[v]+1;g.setEdge(top,childTop,{weight:thisWeight,minlen:minlen,nestingEdge:true});g.setEdge(childBottom,bottom,{weight:thisWeight,minlen:minlen,nestingEdge:true})});if(!g.parent(v)){g.setEdge(root,top,{weight:0,minlen:height+depths[v]})}}function treeDepths(g){var depths={};function dfs(v,depth){var children=g.children(v);if(children&&children.length){_.each(children,function(child){dfs(child,depth+1)})}depths[v]=depth}_.each(g.children(),function(v){dfs(v,1)});return depths}function sumWeights(g){return _.reduce(g.edges(),function(acc,e){return acc+g.edge(e).weight},0)}function cleanup(g){var graphLabel=g.graph();g.removeNode(graphLabel.nestingRoot);delete graphLabel.nestingRoot;_.each(g.edges(),function(e){var edge=g.edge(e);if(edge.nestingEdge){g.removeEdge(e)}})}},{"./lodash":36,"./util":55}],38:[function(require,module,exports){"use strict";var _=require("./lodash"),util=require("./util");module.exports={run:run,undo:undo};function run(g){g.graph().dummyChains=[];_.each(g.edges(),function(edge){normalizeEdge(g,edge)})}function normalizeEdge(g,e){var v=e.v,vRank=g.node(v).rank,w=e.w,wRank=g.node(w).rank,name=e.name,edgeLabel=g.edge(e),labelRank=edgeLabel.labelRank;if(wRank===vRank+1)return;g.removeEdge(e);var dummy,attrs,i;for(i=0,++vRank;vRank<wRank;++i,++vRank){edgeLabel.points=[];attrs={width:0,height:0,edgeLabel:edgeLabel,edgeObj:e,rank:vRank};dummy=util.addDummyNode(g,"edge",attrs,"_d");if(vRank===labelRank){attrs.width=edgeLabel.width;attrs.height=edgeLabel.height;attrs.dummy="edge-label";attrs.labelpos=edgeLabel.labelpos}g.setEdge(v,dummy,{weight:edgeLabel.weight},name);if(i===0){g.graph().dummyChains.push(dummy)}v=dummy}g.setEdge(v,w,{weight:edgeLabel.weight},name)}function undo(g){_.each(g.graph().dummyChains,function(v){var node=g.node(v),origLabel=node.edgeLabel,w;g.setEdge(node.edgeObj,origLabel);while(node.dummy){w=g.successors(v)[0];g.removeNode(v);origLabel.points.push({x:node.x,y:node.y});if(node.dummy==="edge-label"){origLabel.x=node.x;origLabel.y=node.y;origLabel.width=node.width;origLabel.height=node.height}v=w;node=g.node(v)}})}},{"./lodash":36,"./util":55}],39:[function(require,module,exports){var _=require("../lodash");module.exports=addSubgraphConstraints;function addSubgraphConstraints(g,cg,vs){var prev={},rootPrev;_.each(vs,function(v){var child=g.parent(v),parent,prevChild;while(child){parent=g.parent(child);if(parent){prevChild=prev[parent];prev[parent]=child}else{prevChild=rootPrev;rootPrev=child}if(prevChild&&prevChild!==child){cg.setEdge(prevChild,child);return}child=parent}})}},{"../lodash":36}],40:[function(require,module,exports){var _=require("../lodash");module.exports=barycenter;function barycenter(g,movable){return _.map(movable,function(v){var inV=g.inEdges(v);if(!inV.length){return{v:v}}else{var result=_.reduce(inV,function(acc,e){var edge=g.edge(e),nodeU=g.node(e.v);return{sum:acc.sum+edge.weight*nodeU.order,weight:acc.weight+edge.weight}},{sum:0,weight:0});return{v:v,barycenter:result.sum/result.weight,weight:result.weight}}})}},{"../lodash":36}],41:[function(require,module,exports){var _=require("../lodash"),Graph=require("../graphlib").Graph;module.exports=buildLayerGraph;function buildLayerGraph(g,rank,relationship){var root=createRootNode(g),result=new Graph({compound:true}).setGraph({root:root}).setDefaultNodeLabel(function(v){return g.node(v)});_.each(g.nodes(),function(v){var node=g.node(v),parent=g.parent(v);if(node.rank===rank||node.minRank<=rank&&rank<=node.maxRank){result.setNode(v);result.setParent(v,parent||root);_.each(g[relationship](v),function(e){var u=e.v===v?e.w:e.v,edge=result.edge(u,v),weight=!_.isUndefined(edge)?edge.weight:0;result.setEdge(u,v,{weight:g.edge(e).weight+weight})});if(_.has(node,"minRank")){result.setNode(v,{borderLeft:node.borderLeft[rank],borderRight:node.borderRight[rank]})}}});return result}function createRootNode(g){var v;while(g.hasNode(v=_.uniqueId("_root")));return v}},{"../graphlib":33,"../lodash":36}],42:[function(require,module,exports){"use strict";var _=require("../lodash");module.exports=crossCount;function crossCount(g,layering){var cc=0;for(var i=1;i<layering.length;++i){cc+=twoLayerCrossCount(g,layering[i-1],layering[i])}return cc}function twoLayerCrossCount(g,northLayer,southLayer){var southPos=_.zipObject(southLayer,_.map(southLayer,function(v,i){return i}));var southEntries=_.flatten(_.map(northLayer,function(v){return _.chain(g.outEdges(v)).map(function(e){return{pos:southPos[e.w],weight:g.edge(e).weight}}).sortBy("pos").value()}),true);var firstIndex=1;while(firstIndex<southLayer.length)firstIndex<<=1;var treeSize=2*firstIndex-1;firstIndex-=1;var tree=_.map(new Array(treeSize),function(){return 0});var cc=0;_.each(southEntries.forEach(function(entry){var index=entry.pos+firstIndex;tree[index]+=entry.weight;var weightSum=0;while(index>0){if(index%2){weightSum+=tree[index+1]}index=index-1>>1;tree[index]+=entry.weight}cc+=entry.weight*weightSum}));return cc}},{"../lodash":36}],43:[function(require,module,exports){"use strict";var _=require("../lodash"),initOrder=require("./init-order"),crossCount=require("./cross-count"),sortSubgraph=require("./sort-subgraph"),buildLayerGraph=require("./build-layer-graph"),addSubgraphConstraints=require("./add-subgraph-constraints"),Graph=require("../graphlib").Graph,util=require("../util");module.exports=order;function order(g){var maxRank=util.maxRank(g),downLayerGraphs=buildLayerGraphs(g,_.range(1,maxRank+1),"inEdges"),upLayerGraphs=buildLayerGraphs(g,_.range(maxRank-1,-1,-1),"outEdges");var layering=initOrder(g);assignOrder(g,layering);var bestCC=Number.POSITIVE_INFINITY,best;for(var i=0,lastBest=0;lastBest<4;++i,++lastBest){sweepLayerGraphs(i%2?downLayerGraphs:upLayerGraphs,i%4>=2);layering=util.buildLayerMatrix(g);var cc=crossCount(g,layering);if(cc<bestCC){lastBest=0;best=_.cloneDeep(layering);bestCC=cc}}assignOrder(g,best)}function buildLayerGraphs(g,ranks,relationship){return _.map(ranks,function(rank){return buildLayerGraph(g,rank,relationship)})}function sweepLayerGraphs(layerGraphs,biasRight){var cg=new Graph;_.each(layerGraphs,function(lg){var root=lg.graph().root;var sorted=sortSubgraph(lg,root,cg,biasRight);_.each(sorted.vs,function(v,i){lg.node(v).order=i});addSubgraphConstraints(lg,cg,sorted.vs)})}function assignOrder(g,layering){_.each(layering,function(layer){_.each(layer,function(v,i){g.node(v).order=i})})}},{"../graphlib":33,"../lodash":36,"../util":55,"./add-subgraph-constraints":39,"./build-layer-graph":41,"./cross-count":42,"./init-order":44,"./sort-subgraph":46}],44:[function(require,module,exports){"use strict";var _=require("../lodash");module.exports=initOrder;function initOrder(g){var visited={},simpleNodes=_.filter(g.nodes(),function(v){return!g.children(v).length}),maxRank=_.max(_.map(simpleNodes,function(v){return g.node(v).rank})),layers=_.map(_.range(maxRank+1),function(){return[]});function dfs(v){if(_.has(visited,v))return;visited[v]=true;var node=g.node(v);layers[node.rank].push(v);_.each(g.successors(v),dfs)}var orderedVs=_.sortBy(simpleNodes,function(v){return g.node(v).rank});_.each(orderedVs,dfs);return layers}},{"../lodash":36}],45:[function(require,module,exports){"use strict";var _=require("../lodash");module.exports=resolveConflicts;function resolveConflicts(entries,cg){var mappedEntries={};_.each(entries,function(entry,i){var tmp=mappedEntries[entry.v]={indegree:0,"in":[],out:[],vs:[entry.v],i:i};if(!_.isUndefined(entry.barycenter)){tmp.barycenter=entry.barycenter;tmp.weight=entry.weight}});_.each(cg.edges(),function(e){var entryV=mappedEntries[e.v],entryW=mappedEntries[e.w];if(!_.isUndefined(entryV)&&!_.isUndefined(entryW)){entryW.indegree++;entryV.out.push(mappedEntries[e.w])}});var sourceSet=_.filter(mappedEntries,function(entry){return!entry.indegree});return doResolveConflicts(sourceSet)}function doResolveConflicts(sourceSet){var entries=[];function handleIn(vEntry){return function(uEntry){if(uEntry.merged){return}if(_.isUndefined(uEntry.barycenter)||_.isUndefined(vEntry.barycenter)||uEntry.barycenter>=vEntry.barycenter){mergeEntries(vEntry,uEntry)}}}function handleOut(vEntry){return function(wEntry){wEntry["in"].push(vEntry);if(--wEntry.indegree===0){sourceSet.push(wEntry)}}}while(sourceSet.length){var entry=sourceSet.pop();entries.push(entry);_.each(entry["in"].reverse(),handleIn(entry));_.each(entry.out,handleOut(entry))}return _.chain(entries).filter(function(entry){return!entry.merged}).map(function(entry){return _.pick(entry,["vs","i","barycenter","weight"])}).value()}function mergeEntries(target,source){var sum=0,weight=0;if(target.weight){sum+=target.barycenter*target.weight;weight+=target.weight}if(source.weight){sum+=source.barycenter*source.weight;weight+=source.weight}target.vs=source.vs.concat(target.vs);target.barycenter=sum/weight;target.weight=weight;target.i=Math.min(source.i,target.i);source.merged=true}},{"../lodash":36}],46:[function(require,module,exports){var _=require("../lodash"),barycenter=require("./barycenter"),resolveConflicts=require("./resolve-conflicts"),sort=require("./sort");module.exports=sortSubgraph;function sortSubgraph(g,v,cg,biasRight){var movable=g.children(v),node=g.node(v),bl=node?node.borderLeft:undefined,br=node?node.borderRight:undefined,subgraphs={};if(bl){movable=_.filter(movable,function(w){return w!==bl&&w!==br})}var barycenters=barycenter(g,movable);_.each(barycenters,function(entry){if(g.children(entry.v).length){var subgraphResult=sortSubgraph(g,entry.v,cg,biasRight);subgraphs[entry.v]=subgraphResult;if(_.has(subgraphResult,"barycenter")){mergeBarycenters(entry,subgraphResult)}}});var entries=resolveConflicts(barycenters,cg);expandSubgraphs(entries,subgraphs);var result=sort(entries,biasRight);if(bl){result.vs=_.flatten([bl,result.vs,br],true);if(g.predecessors(bl).length){var blPred=g.node(g.predecessors(bl)[0]),brPred=g.node(g.predecessors(br)[0]);if(!_.has(result,"barycenter")){result.barycenter=0;result.weight=0}result.barycenter=(result.barycenter*result.weight+blPred.order+brPred.order)/(result.weight+2);result.weight+=2}}return result}function expandSubgraphs(entries,subgraphs){_.each(entries,function(entry){entry.vs=_.flatten(entry.vs.map(function(v){if(subgraphs[v]){return subgraphs[v].vs}return v}),true)})}function mergeBarycenters(target,other){if(!_.isUndefined(target.barycenter)){target.barycenter=(target.barycenter*target.weight+other.barycenter*other.weight)/(target.weight+other.weight);target.weight+=other.weight}else{target.barycenter=other.barycenter;target.weight=other.weight}}},{"../lodash":36,"./barycenter":40,"./resolve-conflicts":45,"./sort":47}],47:[function(require,module,exports){var _=require("../lodash"),util=require("../util");module.exports=sort;function sort(entries,biasRight){var parts=util.partition(entries,function(entry){return _.has(entry,"barycenter")});var sortable=parts.lhs,unsortable=_.sortBy(parts.rhs,function(entry){return-entry.i}),vs=[],sum=0,weight=0,vsIndex=0;sortable.sort(compareWithBias(!!biasRight));vsIndex=consumeUnsortable(vs,unsortable,vsIndex);_.each(sortable,function(entry){vsIndex+=entry.vs.length;vs.push(entry.vs);sum+=entry.barycenter*entry.weight;weight+=entry.weight;vsIndex=consumeUnsortable(vs,unsortable,vsIndex)});var result={vs:_.flatten(vs,true)};if(weight){result.barycenter=sum/weight;result.weight=weight}return result}function consumeUnsortable(vs,unsortable,index){var last;while(unsortable.length&&(last=_.last(unsortable)).i<=index){unsortable.pop();vs.push(last.vs);index++}return index}function compareWithBias(bias){return function(entryV,entryW){if(entryV.barycenter<entryW.barycenter){return-1}else if(entryV.barycenter>entryW.barycenter){return 1}return!bias?entryV.i-entryW.i:entryW.i-entryV.i}}},{"../lodash":36,"../util":55}],48:[function(require,module,exports){var _=require("./lodash");module.exports=parentDummyChains;function parentDummyChains(g){var postorderNums=postorder(g);_.each(g.graph().dummyChains,function(v){var node=g.node(v),edgeObj=node.edgeObj,pathData=findPath(g,postorderNums,edgeObj.v,edgeObj.w),path=pathData.path,lca=pathData.lca,pathIdx=0,pathV=path[pathIdx],ascending=true;while(v!==edgeObj.w){node=g.node(v);if(ascending){while((pathV=path[pathIdx])!==lca&&g.node(pathV).maxRank<node.rank){pathIdx++}if(pathV===lca){ascending=false}}if(!ascending){while(pathIdx<path.length-1&&g.node(pathV=path[pathIdx+1]).minRank<=node.rank){pathIdx++}pathV=path[pathIdx]}g.setParent(v,pathV);v=g.successors(v)[0]}})}function findPath(g,postorderNums,v,w){var vPath=[],wPath=[],low=Math.min(postorderNums[v].low,postorderNums[w].low),lim=Math.max(postorderNums[v].lim,postorderNums[w].lim),parent,lca;parent=v;do{parent=g.parent(parent);vPath.push(parent)}while(parent&&(postorderNums[parent].low>low||lim>postorderNums[parent].lim));lca=parent;parent=w;while((parent=g.parent(parent))!==lca){wPath.push(parent)}return{path:vPath.concat(wPath.reverse()),lca:lca}}function postorder(g){var result={},lim=0;function dfs(v){var low=lim;_.each(g.children(v),dfs);result[v]={low:low,lim:lim++}}_.each(g.children(),dfs);return result}},{"./lodash":36}],49:[function(require,module,exports){"use strict";var _=require("../lodash"),Graph=require("../graphlib").Graph,util=require("../util");module.exports={positionX:positionX,findType1Conflicts:findType1Conflicts,findType2Conflicts:findType2Conflicts,addConflict:addConflict,hasConflict:hasConflict,verticalAlignment:verticalAlignment,horizontalCompaction:horizontalCompaction,alignCoordinates:alignCoordinates,findSmallestWidthAlignment:findSmallestWidthAlignment,balance:balance};function findType1Conflicts(g,layering){var conflicts={};function visitLayer(prevLayer,layer){var k0=0,scanPos=0,prevLayerLength=prevLayer.length,lastNode=_.last(layer);_.each(layer,function(v,i){var w=findOtherInnerSegmentNode(g,v),k1=w?g.node(w).order:prevLayerLength;if(w||v===lastNode){_.each(layer.slice(scanPos,i+1),function(scanNode){_.each(g.predecessors(scanNode),function(u){var uLabel=g.node(u),uPos=uLabel.order;if((uPos<k0||k1<uPos)&&!(uLabel.dummy&&g.node(scanNode).dummy)){addConflict(conflicts,u,scanNode)}})});scanPos=i+1;k0=k1}});return layer}_.reduce(layering,visitLayer);return conflicts}function findType2Conflicts(g,layering){var conflicts={};function scan(south,southPos,southEnd,prevNorthBorder,nextNorthBorder){var v;_.each(_.range(southPos,southEnd),function(i){v=south[i];if(g.node(v).dummy){_.each(g.predecessors(v),function(u){var uNode=g.node(u);if(uNode.dummy&&(uNode.order<prevNorthBorder||uNode.order>nextNorthBorder)){addConflict(conflicts,u,v)}})}})}function visitLayer(north,south){var prevNorthPos=-1,nextNorthPos,southPos=0;_.each(south,function(v,southLookahead){if(g.node(v).dummy==="border"){var predecessors=g.predecessors(v);if(predecessors.length){nextNorthPos=g.node(predecessors[0]).order;scan(south,southPos,southLookahead,prevNorthPos,nextNorthPos);southPos=southLookahead;prevNorthPos=nextNorthPos}}scan(south,southPos,south.length,nextNorthPos,north.length)});return south}_.reduce(layering,visitLayer);return conflicts}function findOtherInnerSegmentNode(g,v){if(g.node(v).dummy){return _.find(g.predecessors(v),function(u){return g.node(u).dummy})}}function addConflict(conflicts,v,w){if(v>w){var tmp=v;v=w;w=tmp}var conflictsV=conflicts[v];if(!conflictsV){conflicts[v]=conflictsV={}}conflictsV[w]=true}function hasConflict(conflicts,v,w){if(v>w){var tmp=v;v=w;w=tmp}return _.has(conflicts[v],w)}function verticalAlignment(g,layering,conflicts,neighborFn){var root={},align={},pos={};_.each(layering,function(layer){_.each(layer,function(v,order){root[v]=v;align[v]=v;pos[v]=order})});_.each(layering,function(layer){var prevIdx=-1;_.each(layer,function(v){var ws=neighborFn(v);if(ws.length){ws=_.sortBy(ws,function(w){return pos[w]});var mp=(ws.length-1)/2;for(var i=Math.floor(mp),il=Math.ceil(mp);i<=il;++i){var w=ws[i];if(align[v]===v&&prevIdx<pos[w]&&!hasConflict(conflicts,v,w)){align[w]=v;align[v]=root[v]=root[w];prevIdx=pos[w]}}}})});return{root:root,align:align}}function horizontalCompaction(g,layering,root,align,reverseSep){var xs={},blockG=buildBlockGraph(g,layering,root,reverseSep);var visited={};function pass1(v){if(!_.has(visited,v)){visited[v]=true;xs[v]=_.reduce(blockG.inEdges(v),function(max,e){pass1(e.v);return Math.max(max,xs[e.v]+blockG.edge(e))},0)}}_.each(blockG.nodes(),pass1);function pass2(v){if(visited[v]!==2){visited[v]++;var min=_.reduce(blockG.outEdges(v),function(min,e){pass2(e.w);return Math.min(min,xs[e.w]-blockG.edge(e))},Number.POSITIVE_INFINITY);if(min!==Number.POSITIVE_INFINITY){xs[v]=Math.max(xs[v],min)}}}_.each(blockG.nodes(),pass2);_.each(align,function(v){xs[v]=xs[root[v]]});return xs}function buildBlockGraph(g,layering,root,reverseSep){var blockGraph=new Graph,graphLabel=g.graph(),sepFn=sep(graphLabel.nodesep,graphLabel.edgesep,reverseSep);_.each(layering,function(layer){var u;_.each(layer,function(v){var vRoot=root[v];blockGraph.setNode(vRoot);if(u){var uRoot=root[u],prevMax=blockGraph.edge(uRoot,vRoot);blockGraph.setEdge(uRoot,vRoot,Math.max(sepFn(g,v,u),prevMax||0))}u=v})});return blockGraph}function findSmallestWidthAlignment(g,xss){return _.min(xss,function(xs){var min=_.min(xs,function(x,v){return x-width(g,v)/2}),max=_.max(xs,function(x,v){return x+width(g,v)/2});return max-min})}function alignCoordinates(xss,alignTo){var alignToMin=_.min(alignTo),alignToMax=_.max(alignTo);_.each(["u","d"],function(vert){_.each(["l","r"],function(horiz){var alignment=vert+horiz,xs=xss[alignment],delta;if(xs===alignTo)return;delta=horiz==="l"?alignToMin-_.min(xs):alignToMax-_.max(xs);if(delta){xss[alignment]=_.mapValues(xs,function(x){return x+delta})}})})}function balance(xss,align){return _.mapValues(xss.ul,function(ignore,v){if(align){return xss[align.toLowerCase()][v]}else{var xs=_.sortBy(_.pluck(xss,v));return(xs[1]+xs[2])/2}})}function positionX(g){var layering=util.buildLayerMatrix(g),conflicts=_.merge(findType1Conflicts(g,layering),findType2Conflicts(g,layering));var xss={},adjustedLayering;_.each(["u","d"],function(vert){adjustedLayering=vert==="u"?layering:_.values(layering).reverse();_.each(["l","r"],function(horiz){if(horiz==="r"){adjustedLayering=_.map(adjustedLayering,function(inner){return _.values(inner).reverse()})}var neighborFn=_.bind(vert==="u"?g.predecessors:g.successors,g);var align=verticalAlignment(g,adjustedLayering,conflicts,neighborFn);var xs=horizontalCompaction(g,adjustedLayering,align.root,align.align,horiz==="r");if(horiz==="r"){xs=_.mapValues(xs,function(x){return-x})}xss[vert+horiz]=xs})});var smallestWidth=findSmallestWidthAlignment(g,xss);alignCoordinates(xss,smallestWidth);return balance(xss,g.graph().align)}function sep(nodeSep,edgeSep,reverseSep){return function(g,v,w){var vLabel=g.node(v),wLabel=g.node(w),sum=0,delta;sum+=vLabel.width/2;if(_.has(vLabel,"labelpos")){switch(vLabel.labelpos.toLowerCase()){case"l":delta=-vLabel.width/2;break;case"r":delta=vLabel.width/2;break}}if(delta){sum+=reverseSep?delta:-delta}delta=0;sum+=(vLabel.dummy?edgeSep:nodeSep)/2;sum+=(wLabel.dummy?edgeSep:nodeSep)/2;sum+=wLabel.width/2;if(_.has(wLabel,"labelpos")){switch(wLabel.labelpos.toLowerCase()){case"l":delta=wLabel.width/2;break;case"r":delta=-wLabel.width/2;break}}if(delta){sum+=reverseSep?delta:-delta}delta=0;return sum}}function width(g,v){return g.node(v).width}},{"../graphlib":33,"../lodash":36,"../util":55}],50:[function(require,module,exports){"use strict";var _=require("../lodash"),util=require("../util"),positionX=require("./bk").positionX;module.exports=position;function position(g){g=util.asNonCompoundGraph(g);positionY(g);_.each(positionX(g),function(x,v){g.node(v).x=x})}function positionY(g){var layering=util.buildLayerMatrix(g),rankSep=g.graph().ranksep,prevY=0;_.each(layering,function(layer){var maxHeight=_.max(_.map(layer,function(v){return g.node(v).height}));_.each(layer,function(v){g.node(v).y=prevY+maxHeight/2});prevY+=maxHeight+rankSep})}},{"../lodash":36,"../util":55,"./bk":49}],51:[function(require,module,exports){"use strict";var _=require("../lodash"),Graph=require("../graphlib").Graph,slack=require("./util").slack;module.exports=feasibleTree;function feasibleTree(g){var t=new Graph({directed:false});var start=g.nodes()[0],size=g.nodeCount();t.setNode(start,{});var edge,delta;while(tightTree(t,g)<size){edge=findMinSlackEdge(t,g);delta=t.hasNode(edge.v)?slack(g,edge):-slack(g,edge);shiftRanks(t,g,delta)}return t}function tightTree(t,g){function dfs(v){_.each(g.nodeEdges(v),function(e){var edgeV=e.v,w=v===edgeV?e.w:edgeV;if(!t.hasNode(w)&&!slack(g,e)){t.setNode(w,{});t.setEdge(v,w,{});dfs(w)}})}_.each(t.nodes(),dfs);return t.nodeCount()}function findMinSlackEdge(t,g){return _.min(g.edges(),function(e){if(t.hasNode(e.v)!==t.hasNode(e.w)){return slack(g,e)}})}function shiftRanks(t,g,delta){_.each(t.nodes(),function(v){g.node(v).rank+=delta})}},{"../graphlib":33,"../lodash":36,"./util":54}],52:[function(require,module,exports){"use strict";var rankUtil=require("./util"),longestPath=rankUtil.longestPath,feasibleTree=require("./feasible-tree"),networkSimplex=require("./network-simplex");module.exports=rank;function rank(g){switch(g.graph().ranker){case"network-simplex":networkSimplexRanker(g);break;case"tight-tree":tightTreeRanker(g);break;case"longest-path":longestPathRanker(g);break;default:networkSimplexRanker(g)}}var longestPathRanker=longestPath;function tightTreeRanker(g){longestPath(g);feasibleTree(g)}function networkSimplexRanker(g){networkSimplex(g)}},{"./feasible-tree":51,"./network-simplex":53,"./util":54}],53:[function(require,module,exports){"use strict";var _=require("../lodash"),feasibleTree=require("./feasible-tree"),slack=require("./util").slack,initRank=require("./util").longestPath,preorder=require("../graphlib").alg.preorder,postorder=require("../graphlib").alg.postorder,simplify=require("../util").simplify;module.exports=networkSimplex;networkSimplex.initLowLimValues=initLowLimValues;networkSimplex.initCutValues=initCutValues;networkSimplex.calcCutValue=calcCutValue;networkSimplex.leaveEdge=leaveEdge;networkSimplex.enterEdge=enterEdge;networkSimplex.exchangeEdges=exchangeEdges;function networkSimplex(g){g=simplify(g);initRank(g);var t=feasibleTree(g);initLowLimValues(t);initCutValues(t,g);var e,f;while(e=leaveEdge(t)){f=enterEdge(t,g,e);exchangeEdges(t,g,e,f)}}function initCutValues(t,g){var vs=postorder(t,t.nodes());vs=vs.slice(0,vs.length-1);_.each(vs,function(v){assignCutValue(t,g,v)})}function assignCutValue(t,g,child){var childLab=t.node(child),parent=childLab.parent;t.edge(child,parent).cutvalue=calcCutValue(t,g,child)}function calcCutValue(t,g,child){var childLab=t.node(child),parent=childLab.parent,childIsTail=true,graphEdge=g.edge(child,parent),cutValue=0;if(!graphEdge){childIsTail=false;graphEdge=g.edge(parent,child)}cutValue=graphEdge.weight;_.each(g.nodeEdges(child),function(e){var isOutEdge=e.v===child,other=isOutEdge?e.w:e.v;if(other!==parent){var pointsToHead=isOutEdge===childIsTail,otherWeight=g.edge(e).weight;cutValue+=pointsToHead?otherWeight:-otherWeight;if(isTreeEdge(t,child,other)){var otherCutValue=t.edge(child,other).cutvalue;cutValue+=pointsToHead?-otherCutValue:otherCutValue}}});return cutValue}function initLowLimValues(tree,root){if(arguments.length<2){root=tree.nodes()[0]}dfsAssignLowLim(tree,{},1,root)}function dfsAssignLowLim(tree,visited,nextLim,v,parent){var low=nextLim,label=tree.node(v);visited[v]=true;_.each(tree.neighbors(v),function(w){if(!_.has(visited,w)){nextLim=dfsAssignLowLim(tree,visited,nextLim,w,v)}});label.low=low;label.lim=nextLim++;if(parent){label.parent=parent}else{delete label.parent}return nextLim}function leaveEdge(tree){return _.find(tree.edges(),function(e){return tree.edge(e).cutvalue<0})}function enterEdge(t,g,edge){var v=edge.v,w=edge.w;if(!g.hasEdge(v,w)){v=edge.w;w=edge.v}var vLabel=t.node(v),wLabel=t.node(w),tailLabel=vLabel,flip=false;if(vLabel.lim>wLabel.lim){tailLabel=wLabel;flip=true}var candidates=_.filter(g.edges(),function(edge){return flip===isDescendant(t,t.node(edge.v),tailLabel)&&flip!==isDescendant(t,t.node(edge.w),tailLabel)});return _.min(candidates,function(edge){return slack(g,edge)})}function exchangeEdges(t,g,e,f){var v=e.v,w=e.w;t.removeEdge(v,w);t.setEdge(f.v,f.w,{});initLowLimValues(t);initCutValues(t,g);updateRanks(t,g)}function updateRanks(t,g){var root=_.find(t.nodes(),function(v){return!g.node(v).parent}),vs=preorder(t,root);vs=vs.slice(1);_.each(vs,function(v){var parent=t.node(v).parent,edge=g.edge(v,parent),flipped=false;if(!edge){edge=g.edge(parent,v);flipped=true}g.node(v).rank=g.node(parent).rank+(flipped?edge.minlen:-edge.minlen)})}function isTreeEdge(tree,u,v){return tree.hasEdge(u,v)}function isDescendant(tree,vLabel,rootLabel){return rootLabel.low<=vLabel.lim&&vLabel.lim<=rootLabel.lim}},{"../graphlib":33,"../lodash":36,"../util":55,"./feasible-tree":51,"./util":54}],54:[function(require,module,exports){"use strict";var _=require("../lodash");module.exports={longestPath:longestPath,slack:slack};function longestPath(g){var visited={};function dfs(v){var label=g.node(v);if(_.has(visited,v)){return label.rank}visited[v]=true;var rank=_.min(_.map(g.outEdges(v),function(e){return dfs(e.w)-g.edge(e).minlen}));if(rank===Number.POSITIVE_INFINITY){rank=0}return label.rank=rank}_.each(g.sources(),dfs)}function slack(g,e){return g.node(e.w).rank-g.node(e.v).rank-g.edge(e).minlen}},{"../lodash":36}],55:[function(require,module,exports){"use strict";var _=require("./lodash"),Graph=require("./graphlib").Graph;module.exports={addDummyNode:addDummyNode,simplify:simplify,asNonCompoundGraph:asNonCompoundGraph,successorWeights:successorWeights,predecessorWeights:predecessorWeights,intersectRect:intersectRect,buildLayerMatrix:buildLayerMatrix,normalizeRanks:normalizeRanks,removeEmptyRanks:removeEmptyRanks,addBorderNode:addBorderNode,maxRank:maxRank,partition:partition,time:time,notime:notime};function addDummyNode(g,type,attrs,name){var v;do{v=_.uniqueId(name)}while(g.hasNode(v));attrs.dummy=type;g.setNode(v,attrs);return v}function simplify(g){var simplified=(new Graph).setGraph(g.graph());_.each(g.nodes(),function(v){simplified.setNode(v,g.node(v))});_.each(g.edges(),function(e){var simpleLabel=simplified.edge(e.v,e.w)||{weight:0,minlen:1},label=g.edge(e);simplified.setEdge(e.v,e.w,{weight:simpleLabel.weight+label.weight,minlen:Math.max(simpleLabel.minlen,label.minlen)})});return simplified}function asNonCompoundGraph(g){var simplified=new Graph({multigraph:g.isMultigraph()}).setGraph(g.graph());_.each(g.nodes(),function(v){if(!g.children(v).length){simplified.setNode(v,g.node(v))}});_.each(g.edges(),function(e){simplified.setEdge(e,g.edge(e))});return simplified}function successorWeights(g){var weightMap=_.map(g.nodes(),function(v){var sucs={};
_.each(g.outEdges(v),function(e){sucs[e.w]=(sucs[e.w]||0)+g.edge(e).weight});return sucs});return _.zipObject(g.nodes(),weightMap)}function predecessorWeights(g){var weightMap=_.map(g.nodes(),function(v){var preds={};_.each(g.inEdges(v),function(e){preds[e.v]=(preds[e.v]||0)+g.edge(e).weight});return preds});return _.zipObject(g.nodes(),weightMap)}function intersectRect(rect,point){var x=rect.x;var y=rect.y;var dx=point.x-x;var dy=point.y-y;var w=rect.width/2;var h=rect.height/2;if(!dx&&!dy){throw new Error("Not possible to find intersection inside of the rectangle")}var sx,sy;if(Math.abs(dy)*w>Math.abs(dx)*h){if(dy<0){h=-h}sx=h*dx/dy;sy=h}else{if(dx<0){w=-w}sx=w;sy=w*dy/dx}return{x:x+sx,y:y+sy}}function buildLayerMatrix(g){var layering=_.map(_.range(maxRank(g)+1),function(){return[]});_.each(g.nodes(),function(v){var node=g.node(v),rank=node.rank;if(!_.isUndefined(rank)){layering[rank][node.order]=v}});return layering}function normalizeRanks(g){var min=_.min(_.map(g.nodes(),function(v){return g.node(v).rank}));_.each(g.nodes(),function(v){var node=g.node(v);if(_.has(node,"rank")){node.rank-=min}})}function removeEmptyRanks(g){var offset=_.min(_.map(g.nodes(),function(v){return g.node(v).rank}));var layers=[];_.each(g.nodes(),function(v){var rank=g.node(v).rank-offset;if(!_.has(layers,rank)){layers[rank]=[]}layers[rank].push(v)});var delta=0,nodeRankFactor=g.graph().nodeRankFactor;_.each(layers,function(vs,i){if(_.isUndefined(vs)&&i%nodeRankFactor!==0){--delta}else if(delta){_.each(vs,function(v){g.node(v).rank+=delta})}})}function addBorderNode(g,prefix,rank,order){var node={width:0,height:0};if(arguments.length>=4){node.rank=rank;node.order=order}return addDummyNode(g,"border",node,prefix)}function maxRank(g){return _.max(_.map(g.nodes(),function(v){var rank=g.node(v).rank;if(!_.isUndefined(rank)){return rank}}))}function partition(collection,fn){var result={lhs:[],rhs:[]};_.each(collection,function(value){if(fn(value)){result.lhs.push(value)}else{result.rhs.push(value)}});return result}function time(name,fn){var start=_.now();try{return fn()}finally{console.log(name+" time: "+(_.now()-start)+"ms")}}function notime(name,fn){return fn()}},{"./graphlib":33,"./lodash":36}],56:[function(require,module,exports){module.exports="0.7.1"},{}],57:[function(require,module,exports){var lib=require("./lib");module.exports={Graph:lib.Graph,json:require("./lib/json"),alg:require("./lib/alg"),version:lib.version}},{"./lib":73,"./lib/alg":64,"./lib/json":74}],58:[function(require,module,exports){var _=require("../lodash");module.exports=components;function components(g){var visited={},cmpts=[],cmpt;function dfs(v){if(_.has(visited,v))return;visited[v]=true;cmpt.push(v);_.each(g.successors(v),dfs);_.each(g.predecessors(v),dfs)}_.each(g.nodes(),function(v){cmpt=[];dfs(v);if(cmpt.length){cmpts.push(cmpt)}});return cmpts}},{"../lodash":75}],59:[function(require,module,exports){var _=require("../lodash");module.exports=dfs;function dfs(g,vs,order){if(!_.isArray(vs)){vs=[vs]}var acc=[],visited={};_.each(vs,function(v){if(!g.hasNode(v)){throw new Error("Graph does not have node: "+v)}doDfs(g,v,order==="post",visited,acc)});return acc}function doDfs(g,v,postorder,visited,acc){if(!_.has(visited,v)){visited[v]=true;if(!postorder){acc.push(v)}_.each(g.neighbors(v),function(w){doDfs(g,w,postorder,visited,acc)});if(postorder){acc.push(v)}}}},{"../lodash":75}],60:[function(require,module,exports){var dijkstra=require("./dijkstra"),_=require("../lodash");module.exports=dijkstraAll;function dijkstraAll(g,weightFunc,edgeFunc){return _.transform(g.nodes(),function(acc,v){acc[v]=dijkstra(g,v,weightFunc,edgeFunc)},{})}},{"../lodash":75,"./dijkstra":61}],61:[function(require,module,exports){var _=require("../lodash"),PriorityQueue=require("../data/priority-queue");module.exports=dijkstra;var DEFAULT_WEIGHT_FUNC=_.constant(1);function dijkstra(g,source,weightFn,edgeFn){return runDijkstra(g,String(source),weightFn||DEFAULT_WEIGHT_FUNC,edgeFn||function(v){return g.outEdges(v)})}function runDijkstra(g,source,weightFn,edgeFn){var results={},pq=new PriorityQueue,v,vEntry;var updateNeighbors=function(edge){var w=edge.v!==v?edge.v:edge.w,wEntry=results[w],weight=weightFn(edge),distance=vEntry.distance+weight;if(weight<0){throw new Error("dijkstra does not allow negative edge weights. "+"Bad edge: "+edge+" Weight: "+weight)}if(distance<wEntry.distance){wEntry.distance=distance;wEntry.predecessor=v;pq.decrease(w,distance)}};g.nodes().forEach(function(v){var distance=v===source?0:Number.POSITIVE_INFINITY;results[v]={distance:distance};pq.add(v,distance)});while(pq.size()>0){v=pq.removeMin();vEntry=results[v];if(vEntry.distance===Number.POSITIVE_INFINITY){break}edgeFn(v).forEach(updateNeighbors)}return results}},{"../data/priority-queue":71,"../lodash":75}],62:[function(require,module,exports){var _=require("../lodash"),tarjan=require("./tarjan");module.exports=findCycles;function findCycles(g){return _.filter(tarjan(g),function(cmpt){return cmpt.length>1})}},{"../lodash":75,"./tarjan":69}],63:[function(require,module,exports){var _=require("../lodash");module.exports=floydWarshall;var DEFAULT_WEIGHT_FUNC=_.constant(1);function floydWarshall(g,weightFn,edgeFn){return runFloydWarshall(g,weightFn||DEFAULT_WEIGHT_FUNC,edgeFn||function(v){return g.outEdges(v)})}function runFloydWarshall(g,weightFn,edgeFn){var results={},nodes=g.nodes();nodes.forEach(function(v){results[v]={};results[v][v]={distance:0};nodes.forEach(function(w){if(v!==w){results[v][w]={distance:Number.POSITIVE_INFINITY}}});edgeFn(v).forEach(function(edge){var w=edge.v===v?edge.w:edge.v,d=weightFn(edge);results[v][w]={distance:d,predecessor:v}})});nodes.forEach(function(k){var rowK=results[k];nodes.forEach(function(i){var rowI=results[i];nodes.forEach(function(j){var ik=rowI[k];var kj=rowK[j];var ij=rowI[j];var altDistance=ik.distance+kj.distance;if(altDistance<ij.distance){ij.distance=altDistance;ij.predecessor=kj.predecessor}})})});return results}},{"../lodash":75}],64:[function(require,module,exports){module.exports={components:require("./components"),dijkstra:require("./dijkstra"),dijkstraAll:require("./dijkstra-all"),findCycles:require("./find-cycles"),floydWarshall:require("./floyd-warshall"),isAcyclic:require("./is-acyclic"),postorder:require("./postorder"),preorder:require("./preorder"),prim:require("./prim"),tarjan:require("./tarjan"),topsort:require("./topsort")}},{"./components":58,"./dijkstra":61,"./dijkstra-all":60,"./find-cycles":62,"./floyd-warshall":63,"./is-acyclic":65,"./postorder":66,"./preorder":67,"./prim":68,"./tarjan":69,"./topsort":70}],65:[function(require,module,exports){var topsort=require("./topsort");module.exports=isAcyclic;function isAcyclic(g){try{topsort(g)}catch(e){if(e instanceof topsort.CycleException){return false}throw e}return true}},{"./topsort":70}],66:[function(require,module,exports){var dfs=require("./dfs");module.exports=postorder;function postorder(g,vs){return dfs(g,vs,"post")}},{"./dfs":59}],67:[function(require,module,exports){var dfs=require("./dfs");module.exports=preorder;function preorder(g,vs){return dfs(g,vs,"pre")}},{"./dfs":59}],68:[function(require,module,exports){var _=require("../lodash"),Graph=require("../graph"),PriorityQueue=require("../data/priority-queue");module.exports=prim;function prim(g,weightFunc){var result=new Graph,parents={},pq=new PriorityQueue,v;function updateNeighbors(edge){var w=edge.v===v?edge.w:edge.v,pri=pq.priority(w);if(pri!==undefined){var edgeWeight=weightFunc(edge);if(edgeWeight<pri){parents[w]=v;pq.decrease(w,edgeWeight)}}}if(g.nodeCount()===0){return result}_.each(g.nodes(),function(v){pq.add(v,Number.POSITIVE_INFINITY);result.setNode(v)});pq.decrease(g.nodes()[0],0);var init=false;while(pq.size()>0){v=pq.removeMin();if(_.has(parents,v)){result.setEdge(v,parents[v])}else if(init){throw new Error("Input graph is not connected: "+g)}else{init=true}g.nodeEdges(v).forEach(updateNeighbors)}return result}},{"../data/priority-queue":71,"../graph":72,"../lodash":75}],69:[function(require,module,exports){var _=require("../lodash");module.exports=tarjan;function tarjan(g){var index=0,stack=[],visited={},results=[];function dfs(v){var entry=visited[v]={onStack:true,lowlink:index,index:index++};stack.push(v);g.successors(v).forEach(function(w){if(!_.has(visited,w)){dfs(w);entry.lowlink=Math.min(entry.lowlink,visited[w].lowlink)}else if(visited[w].onStack){entry.lowlink=Math.min(entry.lowlink,visited[w].index)}});if(entry.lowlink===entry.index){var cmpt=[],w;do{w=stack.pop();visited[w].onStack=false;cmpt.push(w)}while(v!==w);results.push(cmpt)}}g.nodes().forEach(function(v){if(!_.has(visited,v)){dfs(v)}});return results}},{"../lodash":75}],70:[function(require,module,exports){var _=require("../lodash");module.exports=topsort;topsort.CycleException=CycleException;function topsort(g){var visited={},stack={},results=[];function visit(node){if(_.has(stack,node)){throw new CycleException}if(!_.has(visited,node)){stack[node]=true;visited[node]=true;_.each(g.predecessors(node),visit);delete stack[node];results.push(node)}}_.each(g.sinks(),visit);if(_.size(visited)!==g.nodeCount()){throw new CycleException}return results}function CycleException(){}},{"../lodash":75}],71:[function(require,module,exports){var _=require("../lodash");module.exports=PriorityQueue;function PriorityQueue(){this._arr=[];this._keyIndices={}}PriorityQueue.prototype.size=function(){return this._arr.length};PriorityQueue.prototype.keys=function(){return this._arr.map(function(x){return x.key})};PriorityQueue.prototype.has=function(key){return _.has(this._keyIndices,key)};PriorityQueue.prototype.priority=function(key){var index=this._keyIndices[key];if(index!==undefined){return this._arr[index].priority}};PriorityQueue.prototype.min=function(){if(this.size()===0){throw new Error("Queue underflow")}return this._arr[0].key};PriorityQueue.prototype.add=function(key,priority){var keyIndices=this._keyIndices;key=String(key);if(!_.has(keyIndices,key)){var arr=this._arr;var index=arr.length;keyIndices[key]=index;arr.push({key:key,priority:priority});this._decrease(index);return true}return false};PriorityQueue.prototype.removeMin=function(){this._swap(0,this._arr.length-1);var min=this._arr.pop();delete this._keyIndices[min.key];this._heapify(0);return min.key};PriorityQueue.prototype.decrease=function(key,priority){var index=this._keyIndices[key];if(priority>this._arr[index].priority){throw new Error("New priority is greater than current priority. "+"Key: "+key+" Old: "+this._arr[index].priority+" New: "+priority)}this._arr[index].priority=priority;this._decrease(index)};PriorityQueue.prototype._heapify=function(i){var arr=this._arr;var l=2*i,r=l+1,largest=i;if(l<arr.length){largest=arr[l].priority<arr[largest].priority?l:largest;if(r<arr.length){largest=arr[r].priority<arr[largest].priority?r:largest}if(largest!==i){this._swap(i,largest);this._heapify(largest)}}};PriorityQueue.prototype._decrease=function(index){var arr=this._arr;var priority=arr[index].priority;var parent;while(index!==0){parent=index>>1;if(arr[parent].priority<priority){break}this._swap(index,parent);index=parent}};PriorityQueue.prototype._swap=function(i,j){var arr=this._arr;var keyIndices=this._keyIndices;var origArrI=arr[i];var origArrJ=arr[j];arr[i]=origArrJ;arr[j]=origArrI;keyIndices[origArrJ.key]=i;keyIndices[origArrI.key]=j}},{"../lodash":75}],72:[function(require,module,exports){"use strict";var _=require("./lodash");module.exports=Graph;var DEFAULT_EDGE_NAME="\x00",GRAPH_NODE="\x00",EDGE_KEY_DELIM="";function Graph(opts){this._isDirected=_.has(opts,"directed")?opts.directed:true;this._isMultigraph=_.has(opts,"multigraph")?opts.multigraph:false;this._isCompound=_.has(opts,"compound")?opts.compound:false;this._label=undefined;this._defaultNodeLabelFn=_.constant(undefined);this._defaultEdgeLabelFn=_.constant(undefined);this._nodes={};if(this._isCompound){this._parent={};this._children={};this._children[GRAPH_NODE]={}}this._in={};this._preds={};this._out={};this._sucs={};this._edgeObjs={};this._edgeLabels={}}Graph.prototype._nodeCount=0;Graph.prototype._edgeCount=0;Graph.prototype.isDirected=function(){return this._isDirected};Graph.prototype.isMultigraph=function(){return this._isMultigraph};Graph.prototype.isCompound=function(){return this._isCompound};Graph.prototype.setGraph=function(label){this._label=label;return this};Graph.prototype.graph=function(){return this._label};Graph.prototype.setDefaultNodeLabel=function(newDefault){if(!_.isFunction(newDefault)){newDefault=_.constant(newDefault)}this._defaultNodeLabelFn=newDefault;return this};Graph.prototype.nodeCount=function(){return this._nodeCount};Graph.prototype.nodes=function(){return _.keys(this._nodes)};Graph.prototype.sources=function(){return _.filter(this.nodes(),function(v){return _.isEmpty(this._in[v])},this)};Graph.prototype.sinks=function(){return _.filter(this.nodes(),function(v){return _.isEmpty(this._out[v])},this)};Graph.prototype.setNodes=function(vs,value){var args=arguments;_.each(vs,function(v){if(args.length>1){this.setNode(v,value)}else{this.setNode(v)}},this);return this};Graph.prototype.setNode=function(v,value){if(_.has(this._nodes,v)){if(arguments.length>1){this._nodes[v]=value}return this}this._nodes[v]=arguments.length>1?value:this._defaultNodeLabelFn(v);if(this._isCompound){this._parent[v]=GRAPH_NODE;this._children[v]={};this._children[GRAPH_NODE][v]=true}this._in[v]={};this._preds[v]={};this._out[v]={};this._sucs[v]={};++this._nodeCount;return this};Graph.prototype.node=function(v){return this._nodes[v]};Graph.prototype.hasNode=function(v){return _.has(this._nodes,v)};Graph.prototype.removeNode=function(v){var self=this;if(_.has(this._nodes,v)){var removeEdge=function(e){self.removeEdge(self._edgeObjs[e])};delete this._nodes[v];if(this._isCompound){this._removeFromParentsChildList(v);delete this._parent[v];_.each(this.children(v),function(child){this.setParent(child)},this);delete this._children[v]}_.each(_.keys(this._in[v]),removeEdge);delete this._in[v];delete this._preds[v];_.each(_.keys(this._out[v]),removeEdge);delete this._out[v];delete this._sucs[v];--this._nodeCount}return this};Graph.prototype.setParent=function(v,parent){if(!this._isCompound){throw new 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!function() {
var d3 = {
version: "3.4.13"
};
if (!Date.now) Date.now = function() {
return +new Date();
};
var d3_arraySlice = [].slice, d3_array = function(list) {
return d3_arraySlice.call(list);
};
var d3_document = document, d3_documentElement = d3_document.documentElement, d3_window = window;
try {
d3_array(d3_documentElement.childNodes)[0].nodeType;
} catch (e) {
d3_array = function(list) {
var i = list.length, array = new Array(i);
while (i--) array[i] = list[i];
return array;
};
}
try {
d3_document.createElement("div").style.setProperty("opacity", 0, "");
} catch (error) {
var d3_element_prototype = d3_window.Element.prototype, d3_element_setAttribute = d3_element_prototype.setAttribute, d3_element_setAttributeNS = d3_element_prototype.setAttributeNS, d3_style_prototype = d3_window.CSSStyleDeclaration.prototype, d3_style_setProperty = d3_style_prototype.setProperty;
d3_element_prototype.setAttribute = function(name, value) {
d3_element_setAttribute.call(this, name, value + "");
};
d3_element_prototype.setAttributeNS = function(space, local, value) {
d3_element_setAttributeNS.call(this, space, local, value + "");
};
d3_style_prototype.setProperty = function(name, value, priority) {
d3_style_setProperty.call(this, name, value + "", priority);
};
}
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 && !((a = array[i]) != null && a <= a)) a = undefined;
while (++i < n) if ((b = array[i]) != null && a > b) a = b;
} else {
while (++i < n && !((a = f.call(array, array[i], i)) != null && a <= a)) a = undefined;
while (++i < n) if ((b = f.call(array, array[i], i)) != null && a > b) a = b;
}
return a;
};
d3.max = function(array, f) {
var i = -1, n = array.length, a, b;
if (arguments.length === 1) {
while (++i < n && !((a = array[i]) != null && a <= a)) a = undefined;
while (++i < n) if ((b = array[i]) != null && b > a) a = b;
} else {
while (++i < n && !((a = f.call(array, array[i], i)) != null && a <= a)) a = undefined;
while (++i < n) if ((b = f.call(array, array[i], i)) != null && b > a) a = b;
}
return a;
};
d3.extent = function(array, f) {
var i = -1, n = array.length, a, b, c;
if (arguments.length === 1) {
while (++i < n && !((a = c = array[i]) != null && a <= a)) a = c = undefined;
while (++i < n) if ((b = array[i]) != null) {
if (a > b) a = b;
if (c < b) c = b;
}
} else {
while (++i < n && !((a = c = f.call(array, array[i], i)) != null && a <= a)) a = undefined;
while (++i < n) if ((b = f.call(array, array[i], i)) != null) {
if (a > b) a = b;
if (c < b) c = b;
}
}
return [ a, c ];
};
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;
} 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;
}
return j ? s / j : undefined;
};
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);
}
return numbers.length ? d3.quantile(numbers.sort(d3_ascending), .5) : undefined;
};
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) {
var m = array.length, t, i;
while (m) {
i = Math.random() * m-- | 0;
t = array[m], array[m] = array[i], array[i] = 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) {
var map = new d3_Map();
if (object instanceof d3_Map) object.forEach(function(key, value) {
map.set(key, value);
}); 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 = "\x00";
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;
};
nest.sortKeys = function(order) {
sortKeys[keys.length - 1] = order;
return nest;
};
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 = {};
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;
};
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" ];
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 = "";
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, 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;
if (arguments.length < 2) return l && l.on;
if (l) {
l.on = null;
listeners = listeners.slice(0, i = listeners.indexOf(l)).concat(listeners.slice(i + 1));
listenerByName.remove(name);
}
if (listener) listeners.push(listenerByName.set(name, {
on: listener
}));
return dispatch;
};
return event;
}
d3.event = null;
function d3_eventPreventDefault() {
d3.event.preventDefault();
}
function d3_eventSource() {
var e = d3.event, s;
while (s = e.sourceEvent) e = s;
return e;
}
function d3_eventDispatch(target) {
var dispatch = new d3_dispatch(), i = 0, n = arguments.length;
while (++i < n) dispatch[arguments[i]] = d3_dispatch_event(dispatch);
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__ ? function(object, prototype) {
object.__proto__ = prototype;
} : 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_selectMatcher = d3_documentElement.matches || d3_documentElement[d3_vendorSymbol(d3_documentElement, "matchesSelector")], d3_selectMatches = function(n, s) {
return d3_selectMatcher.call(n, s);
};
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_selectionRoot;
};
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) {
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 (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);
function attrNull() {
this.removeAttribute(name);
}
function attrNullNS() {
this.removeAttributeNS(name.space, name.local);
}
function attrConstant() {
this.setAttribute(name, value);
}
function attrConstantNS() {
this.setAttributeNS(name.space, name.local, value);
}
function attrFunction() {
var x = value.apply(this, arguments);
if (x == null) this.removeAttribute(name); else this.setAttribute(name, x);
}
function attrFunctionNS() {
var x = value.apply(this, arguments);
if (x == null) this.removeAttributeNS(name.space, name.local); else this.setAttributeNS(name.space, name.local, x);
}
return 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) {
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 (value in name) this.each(d3_selection_classed(value, name[value]));
return this;
}
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+/);
}
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);
}
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) {
if (typeof name !== "string") {
if (n < 2) value = "";
for (priority in name) this.each(d3_selection_style(priority, name[priority], value));
return this;
}
if (n < 2) return d3_window.getComputedStyle(this.node(), null).getPropertyValue(name);
priority = "";
}
return this.each(d3_selection_style(name, value, priority));
};
function d3_selection_style(name, value, priority) {
function styleNull() {
this.style.removeProperty(name);
}
function styleConstant() {
this.style.setProperty(name, value, priority);
}
function styleFunction() {
var x = value.apply(this, arguments);
if (x == null) this.style.removeProperty(name); else this.style.setProperty(name, x, priority);
}
return value == null ? styleNull : typeof value === "function" ? styleFunction : styleConstant;
}
d3_selectionPrototype.property = function(name, value) {
if (arguments.length < 2) {
if (typeof name === "string") return this.node()[name];
for (value in name) this.each(d3_selection_property(value, name[value]));
return this;
}
return this.each(d3_selection_property(name, value));
};
function d3_selection_property(name, value) {
function propertyNull() {
delete this[name];
}
function propertyConstant() {
this[name] = value;
}
function propertyFunction() {
var x = value.apply(this, arguments);
if (x == null) delete this[name]; else this[name] = x;
}
return 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() {
this.textContent = "";
} : function() {
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) {
return typeof name === "function" ? name : (name = d3.ns.qualify(name)).local ? function() {
return this.ownerDocument.createElementNS(name.space, name.local);
} : function() {
return this.ownerDocument.createElementNS(this.namespaceURI, name);
};
}
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);
});
};
d3_selectionPrototype.remove = function() {
return this.each(function() {
var parent = this.parentNode;
if (parent) parent.removeChild(this);
});
};
d3_selectionPrototype.data = function(value, key) {
var i = -1, n = this.length, group, node;
if (!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;
} 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) {
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;
};
}
d3_selectionPrototype.transition = function() {
var id = d3_transitionInheritId || ++d3_transitionId, 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, id, transition);
subgroup.push(node);
}
}
return d3_transition(subgroups, id);
};
d3_selectionPrototype.interrupt = function() {
return this.each(d3_selection_interrupt);
};
function d3_selection_interrupt() {
var lock = this.__transition__;
if (lock) ++lock.active;
}
d3.select = function(node) {
var group = [ typeof node === "string" ? d3_select(node, d3_document) : node ];
group.parentNode = d3_documentElement;
return d3_selection([ group ]);
};
d3.selectAll = function(nodes) {
var group = d3_array(typeof nodes === "string" ? d3_selectAll(nodes, d3_document) : nodes);
group.parentNode = d3_documentElement;
return d3_selection([ group ]);
};
var d3_selectionRoot = d3.select(d3_documentElement);
d3_selectionPrototype.on = function(type, listener, capture) {
var n = arguments.length;
if (n < 3) {
if (typeof type !== "string") {
if (n < 2) listener = false;
for (capture in type) this.each(d3_selection_on(capture, type[capture], listener));
return this;
}
if (n < 2) return (n = this.node()["__on" + type]) && n._;
capture = false;
}
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));
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"
});
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;
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 = "onselectstart" in d3_document ? null : d3_vendorSymbol(d3_documentElement.style, "userSelect"), d3_event_dragId = 0;
function d3_event_dragSuppress() {
var name = ".dragsuppress-" + ++d3_event_dragId, click = "click" + name, w = d3.select(d3_window).on("touchmove" + name, d3_eventPreventDefault).on("dragstart" + name, d3_eventPreventDefault).on("selectstart" + name, d3_eventPreventDefault);
if (d3_event_dragSelect) {
var style = d3_documentElement.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) {
function off() {
w.on(click, null);
}
w.on(click, function() {
d3_eventPreventDefault();
off();
}, true);
setTimeout(off, 0);
}
};
}
d3.mouse = function(container) {
return d3_mousePoint(container, d3_eventSource());
};
var d3_mouse_bug44083 = /WebKit/.test(d3_window.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 && (d3_window.scrollX || d3_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.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);
}
}
};
d3.behavior.drag = function() {
var event = d3_eventDispatch(drag, "drag", "dragstart", "dragend"), origin = null, mousedown = dragstart(d3_noop, d3.mouse, d3_behavior_dragMouseSubject, "mousemove", "mouseup"), touchstart = dragstart(d3_behavior_dragTouchId, d3.touch, d3_behavior_dragTouchSubject, "touchmove", "touchend");
function drag() {
this.on("mousedown.drag", mousedown).on("touchstart.drag", touchstart);
}
function dragstart(id, position, subject, move, end) {
return function() {
var that = this, target = d3.event.target, parent = that.parentNode, dispatch = event.of(that, arguments), dragged = 0, dragId = id(), dragName = ".drag" + (dragId == null ? "" : "-" + dragId), dragOffset, dragSubject = d3.select(subject()).on(move + dragName, moved).on(end + dragName, ended), dragRestore = d3_event_dragSuppress(), position0 = position(parent, dragId);
if (origin) {
dragOffset = origin.apply(that, arguments);
dragOffset = [ dragOffset.x - position0[0], dragOffset.y - position0[1] ];
} else {
dragOffset = [ 0, 0 ];
}
dispatch({
type: "dragstart"
});
function moved() {
var position1 = position(parent, dragId), dx, dy;
if (!position1) return;
dx = position1[0] - position0[0];
dy = position1[1] - position0[1];
dragged |= dx | dy;
position0 = position1;
dispatch({
type: "drag",
x: position1[0] + dragOffset[0],
y: position1[1] + dragOffset[1],
dx: dx,
dy: dy
});
}
function ended() {
if (!position(parent, dragId)) return;
dragSubject.on(move + dragName, null).on(end + dragName, null);
dragRestore(dragged && d3.event.target === target);
dispatch({
type: "dragend"
});
}
};
}
drag.origin = function(x) {
if (!arguments.length) return origin;
origin = x;
return drag;
};
return d3.rebind(drag, event, "on");
};
function d3_behavior_dragTouchId() {
return d3.event.changedTouches[0].identifier;
}
function d3_behavior_dragTouchSubject() {
return d3.event.target;
}
function d3_behavior_dragMouseSubject() {
return d3_window;
}
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 π = Math.PI, τ = 2 * π, halfπ = π / 2, ε = 1e-6, ε2 = ε * ε, d3_radians = π / 180, d3_degrees = 180 / π;
function d3_sgn(x) {
return x > 0 ? 1 : x < 0 ? -1 : 0;
}
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;
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) {
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) ];
}
return [ ux0 + t * dx, uy0 + t * dy, w0 * Math.exp(ρ * s) ];
}
interpolate.duration = S * 1e3;
return interpolate;
};
d3.behavior.zoom = function() {
var view = {
x: 0,
y: 0,
k: 1
}, translate0, center0, center, size = [ 960, 500 ], scaleExtent = d3_behavior_zoomInfinity, mousedown = "mousedown.zoom", mousemove = "mousemove.zoom", mouseup = "mouseup.zoom", mousewheelTimer, touchstart = "touchstart.zoom", touchtime, event = d3_eventDispatch(zoom, "zoomstart", "zoom", "zoomend"), x0, x1, y0, y1;
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
};
zoomstarted(dispatch);
}).tween("zoom:zoom", function() {
var dx = size[0], dy = size[1], cx = dx / 2, cy = 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("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
};
rescale();
return zoom;
};
zoom.scale = function(_) {
if (!arguments.length) return view.k;
view = {
x: view.x,
y: view.y,
k: +_
};
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.x = function(z) {
if (!arguments.length) return x1;
x1 = z;
x0 = z.copy();
view = {
x: 0,
y: 0,
k: 1
};
return zoom;
};
zoom.y = function(z) {
if (!arguments.length) return y1;
y1 = z;
y0 = z.copy();
view = {
x: 0,
y: 0,
k: 1
};
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 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) {
dispatch({
type: "zoomstart"
});
}
function zoomed(dispatch) {
rescale();
dispatch({
type: "zoom",
scale: view.k,
translate: [ view.x, view.y ]
});
}
function zoomended(dispatch) {
dispatch({
type: "zoomend"
});
}
function mousedowned() {
var that = this, target = d3.event.target, dispatch = event.of(that, arguments), dragged = 0, subject = d3.select(d3_window).on(mousemove, moved).on(mouseup, ended), location0 = location(d3.mouse(that)), dragRestore = d3_event_dragSuppress();
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);
}
}
function touchstarted() {
var that = this, dispatch = event.of(that, arguments), locations0 = {}, distance0 = 0, scale0, zoomName = ".zoom-" + d3.event.changedTouches[0].identifier, touchmove = "touchmove" + zoomName, touchend = "touchend" + zoomName, targets = [], subject = d3.select(that), dragRestore = d3_event_dragSuppress();
d3_selection_interrupt.call(that);
started();
zoomstarted(dispatch);
subject.on(mousedown, null).on(touchstart, started);
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;
}
function started() {
var target = d3.event.target;
d3.select(target).on(touchmove, moved).on(touchend, ended);
targets.push(target);
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) {
var p = touches[0], l = locations0[p.identifier];
scaleTo(view.k * 2);
translateTo(p, l);
d3_eventPreventDefault();
zoomed(dispatch);
}
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;
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 (d3.event.touches.length) {
var changed = d3.event.changedTouches;
for (var i = 0, n = changed.length; i < n; ++i) {
delete locations0[changed[i].identifier];
}
for (var identifier in locations0) {
return void relocate();
}
}
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 dispatch = event.of(this, arguments), p = d3.mouse(this), l = location(p), k = Math.log(view.k) / Math.LN2;
zoomstarted(dispatch);
scaleTo(Math.pow(2, d3.event.shiftKey ? Math.ceil(k) - 1 : Math.floor(k) + 1));
translateTo(p, l);
zoomed(dispatch);
zoomended(dispatch);
}
return d3.rebind(zoom, event, "on");
};
var d3_behavior_zoomInfinity = [ 0, Infinity ];
var d3_behavior_zoomDelta, 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");
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(.7, arguments.length ? k : 1);
return new d3_hsl(this.h, this.s, this.l / k);
};
d3_hslPrototype.darker = function(k) {
k = Math.pow(.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;
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;
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);
}
var d3_lab_K = 18;
var d3_lab_X = .95047, d3_lab_Y = 1, d3_lab_Z = 1.08883;
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 - .4985314 * z), d3_xyz_rgb(-.969266 * x + 1.8760108 * y + .041556 * z), d3_xyz_rgb(.0556434 * x - .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 > .206893034 ? x * x * x : (x - 4 / 29) / 7.787037;
}
function d3_xyz_lab(x) {
return x > .008856 ? Math.pow(x, 1 / 3) : 7.787037 * x + 4 / 29;
}
function d3_xyz_rgb(r) {
return Math.round(255 * (r <= .00304 ? 12.92 * r : 1.055 * Math.pow(r, 1 / 2.4) - .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 & 255, value & 255);
}
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(.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(.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 < 16 ? "0" + Math.max(0, v).toString(16) : Math.min(255, v).toString(16);
}
function d3_rgb_parse(format, rgb, hsl) {
var r = 0, g = 0, b = 0, m1, m2, color;
m1 = /([a-z]+)\((.*)\)/i.exec(format);
if (m1) {
m2 = m1[2].split(",");
switch (m1[1]) {
case "hsl":
{
return hsl(parseFloat(m2[0]), parseFloat(m2[1]) / 100, parseFloat(m2[2]) / 100);
}
case "rgb":
{
return rgb(d3_rgb_parseNumber(m2[0]), d3_rgb_parseNumber(m2[1]), d3_rgb_parseNumber(m2[2]));
}
}
}
if (color = d3_rgb_names.get(format)) return rgb(color.r, color.g, color.b);
if (format != null && format.charAt(0) === "#" && !isNaN(color = parseInt(format.slice(1), 16))) {
if (format.length === 4) {
r = (color & 3840) >> 4;
r = r >> 4 | r;
g = color & 240;
g = g >> 4 | g;
b = color & 15;
b = b << 4 | b;
} else if (format.length === 7) {
r = (color & 16711680) >> 16;
g = (color & 65280) >> 8;
b = color & 255;
}
}
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((.4124564 * r + .3575761 * g + .1804375 * b) / d3_lab_X), y = d3_xyz_lab((.2126729 * r + .7151522 * g + .072175 * b) / d3_lab_Y), z = d3_xyz_lab((.0193339 * r + .119192 * g + .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) <= .04045 ? r / 12.92 : Math.pow((r + .055) / 1.055, 2.4);
}
function d3_rgb_parseNumber(c) {
var f = parseFloat(c);
return c.charAt(c.length - 1) === "%" ? Math.round(f * 2.55) : f;
}
var d3_rgb_names = d3.map({
aliceblue: 15792383,
antiquewhite: 16444375,
aqua: 65535,
aquamarine: 8388564,
azure: 15794175,
beige: 16119260,
bisque: 16770244,
black: 0,
blanchedalmond: 16772045,
blue: 255,
blueviolet: 9055202,
brown: 10824234,
burlywood: 14596231,
cadetblue: 6266528,
chartreuse: 8388352,
chocolate: 13789470,
coral: 16744272,
cornflowerblue: 6591981,
cornsilk: 16775388,
crimson: 14423100,
cyan: 65535,
darkblue: 139,
darkcyan: 35723,
darkgoldenrod: 12092939,
darkgray: 11119017,
darkgreen: 25600,
darkgrey: 11119017,
darkkhaki: 12433259,
darkmagenta: 9109643,
darkolivegreen: 5597999,
darkorange: 16747520,
darkorchid: 10040012,
darkred: 9109504,
darksalmon: 15308410,
darkseagreen: 9419919,
darkslateblue: 4734347,
darkslategray: 3100495,
darkslategrey: 3100495,
darkturquoise: 52945,
darkviolet: 9699539,
deeppink: 16716947,
deepskyblue: 49151,
dimgray: 6908265,
dimgrey: 6908265,
dodgerblue: 2003199,
firebrick: 11674146,
floralwhite: 16775920,
forestgreen: 2263842,
fuchsia: 16711935,
gainsboro: 14474460,
ghostwhite: 16316671,
gold: 16766720,
goldenrod: 14329120,
gray: 8421504,
green: 32768,
greenyellow: 11403055,
grey: 8421504,
honeydew: 15794160,
hotpink: 16738740,
indianred: 13458524,
indigo: 4915330,
ivory: 16777200,
khaki: 15787660,
lavender: 15132410,
lavenderblush: 16773365,
lawngreen: 8190976,
lemonchiffon: 16775885,
lightblue: 11393254,
lightcoral: 15761536,
lightcyan: 14745599,
lightgoldenrodyellow: 16448210,
lightgray: 13882323,
lightgreen: 9498256,
lightgrey: 13882323,
lightpink: 16758465,
lightsalmon: 16752762,
lightseagreen: 2142890,
lightskyblue: 8900346,
lightslategray: 7833753,
lightslategrey: 7833753,
lightsteelblue: 11584734,
lightyellow: 16777184,
lime: 65280,
limegreen: 3329330,
linen: 16445670,
magenta: 16711935,
maroon: 8388608,
mediumaquamarine: 6737322,
mediumblue: 205,
mediumorchid: 12211667,
mediumpurple: 9662683,
mediumseagreen: 3978097,
mediumslateblue: 8087790,
mediumspringgreen: 64154,
mediumturquoise: 4772300,
mediumvioletred: 13047173,
midnightblue: 1644912,
mintcream: 16121850,
mistyrose: 16770273,
moccasin: 16770229,
navajowhite: 16768685,
navy: 128,
oldlace: 16643558,
olive: 8421376,
olivedrab: 7048739,
orange: 16753920,
orangered: 16729344,
orchid: 14315734,
palegoldenrod: 15657130,
palegreen: 10025880,
paleturquoise: 11529966,
palevioletred: 14381203,
papayawhip: 16773077,
peachpuff: 16767673,
peru: 13468991,
pink: 16761035,
plum: 14524637,
powderblue: 11591910,
purple: 8388736,
red: 16711680,
rosybrown: 12357519,
royalblue: 4286945,
saddlebrown: 9127187,
salmon: 16416882,
sandybrown: 16032864,
seagreen: 3050327,
seashell: 16774638,
sienna: 10506797,
silver: 12632256,
skyblue: 8900331,
slateblue: 6970061,
slategray: 7372944,
slategrey: 7372944,
snow: 16775930,
springgreen: 65407,
steelblue: 4620980,
tan: 13808780,
teal: 32896,
thistle: 14204888,
tomato: 16737095,
turquoise: 4251856,
violet: 15631086,
wheat: 16113331,
white: 16777215,
whitesmoke: 16119285,
yellow: 16776960,
yellowgreen: 10145074
});
d3_rgb_names.forEach(function(key, value) {
d3_rgb_names.set(key, d3_rgbNumber(value));
});
function d3_functor(v) {
return typeof v === "function" ? v : function() {
return v;
};
}
d3.functor = d3_functor;
function d3_identity(d) {
return d;
}
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 (d3_window.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;
};
xhr.mimeType = function(value) {
if (!arguments.length) return mimeType;
mimeType = value == null ? null : value + "";
return xhr;
};
xhr.responseType = function(value) {
if (!arguments.length) return responseType;
responseType = value;
return xhr;
};
xhr.response = function(value) {
response = value;
return xhr;
};
[ "get", "post" ].forEach(function(method) {
xhr[method] = function() {
return xhr.send.apply(xhr, [ method ].concat(d3_array(arguments)));
};
});
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 : request.responseText;
}
d3.dsv = function(delimiter, mimeType) {
var reFormat = new RegExp('["' + delimiter + "\n]"), delimiterCode = delimiter.charCodeAt(0);
function dsv(url, row, callback) {
if (arguments.length < 3) callback = row, row = null;
var xhr = d3_xhr(url, mimeType, row == null ? response : typedResponse(row), callback);
xhr.row = function(_) {
return arguments.length ? xhr.response((row = _) == null ? response : typedResponse(_)) : row;
};
return xhr;
}
function response(request) {
return dsv.parse(request.responseText);
}
function typedResponse(f) {
return function(request) {
return dsv.parse(request.responseText, f);
};
}
dsv.parse = function(text, f) {
var o;
return dsv.parseRows(text, function(row, i) {
if (o) return o(row, i - 1);
var a = new Function("d", "return {" + row.map(function(name, i) {
return JSON.stringify(name) + ": d[" + i + "]";
}).join(",") + "}");
o = f ? function(row, i) {
return f(a(row), i);
} : a;
});
};
dsv.parseRows = function(text, f) {
var EOL = {}, EOF = {}, rows = [], N = text.length, I = 0, n = 0, t, eol;
function token() {
if (I >= N) return EOF;
if (eol) return eol = false, EOL;
var j = I;
if (text.charCodeAt(j) === 34) {
var i = j;
while (i++ < N) {
if (text.charCodeAt(i) === 34) {
if (text.charCodeAt(i + 1) !== 34) break;
++i;
}
}
I = i + 2;
var c = text.charCodeAt(i + 1);
if (c === 13) {
eol = true;
if (text.charCodeAt(i + 2) === 10) ++I;
} else if (c === 10) {
eol = true;
}
return text.slice(j + 1, i).replace(/""/g, '"');
}
while (I < N) {
var c = text.charCodeAt(I++), k = 1;
if (c === 10) eol = true; else if (c === 13) {
eol = true;
if (text.charCodeAt(I) === 10) ++I, ++k;
} else if (c !== delimiterCode) continue;
return text.slice(j, I - k);
}
return text.slice(j);
}
while ((t = token()) !== EOF) {
var a = [];
while (t !== EOL && t !== EOF) {
a.push(t);
t = token();
}
if (f && (a = f(a, n++)) == null) continue;
rows.push(a);
}
return rows;
};
dsv.format = function(rows) {
if (Array.isArray(rows[0])) return dsv.formatRows(rows);
var fieldSet = new d3_Set(), fields = [];
rows.forEach(function(row) {
for (var field in row) {
if (!fieldSet.has(field)) {
fields.push(fieldSet.add(field));
}
}
});
return [ fields.map(formatValue).join(delimiter) ].concat(rows.map(function(row) {
return fields.map(function(field) {
return formatValue(row[field]);
}).join(delimiter);
})).join("\n");
};
dsv.formatRows = function(rows) {
return rows.map(formatRow).join("\n");
};
function formatRow(row) {
return row.map(formatValue).join(delimiter);
}
function formatValue(text) {
return reFormat.test(text) ? '"' + text.replace(/\"/g, '""') + '"' : text;
}
return dsv;
};
d3.csv = d3.dsv(",", "text/csv");
d3.tsv = d3.dsv(" ", "text/tab-separated-values");
var d3_timer_queueHead, d3_timer_queueTail, d3_timer_interval, d3_timer_timeout, d3_timer_active, d3_timer_frame = d3_window[d3_vendorSymbol(d3_window, "requestAnimationFrame")] || function(callback) {
setTimeout(callback, 17);
};
d3.timer = function(callback, delay, then) {
var n = arguments.length;
if (n < 2) delay = 0;
if (n < 3) then = Date.now();
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;
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;
}
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;
}
function d3_format_precision(x, p) {
return p - (x ? Math.ceil(Math.log(x) / Math.LN10) : 1);
}
d3.round = function(x, n) {
return n ? Math.round(x * (n = Math.pow(10, n))) / n : Math.round(x);
};
var d3_formatPrefixes = [ "y", "z", "a", "f", "p", "n", "µ", "m", "", "k", "M", "G", "T", "P", "E", "Z", "Y" ].map(d3_formatPrefix);
d3.formatPrefix = function(value, precision) {
var i = 0;
if (value) {
if (value < 0) value *= -1;
if (precision) value = d3.round(value, d3_format_precision(value, precision));
i = 1 + Math.floor(1e-12 + Math.log(value) / Math.LN10);
i = Math.max(-24, Math.min(24, Math.floor((i - 1) / 3) * 3));
}
return d3_formatPrefixes[8 + i / 3];
};
function d3_formatPrefix(d, i) {
var k = Math.pow(10, abs(8 - i) * 3);
return {
scale: i > 8 ? function(d) {
return d / k;
} : function(d) {
return d * k;
},
symbol: d
};
}
function d3_locale_numberFormat(locale) {
var locale_decimal = locale.decimal, locale_thousands = locale.thousands, locale_grouping = locale.grouping, locale_currency = locale.currency, formatGroup = locale_grouping && locale_thousands ? function(value, width) {
var i = value.length, t = [], j = 0, g = locale_grouping[0], length = 0;
while (i > 0 && g > 0) {
if (length + g + 1 > width) g = Math.max(1, width - length);
t.push(value.substring(i -= g, i + g));
if ((length += g + 1) > width) break;
g = locale_grouping[j = (j + 1) % locale_grouping.length];
}
return t.reverse().join(locale_thousands);
} : d3_identity;
return function(specifier) {
var match = d3_format_re.exec(specifier), fill = match[1] || " ", align = match[2] || ">", sign = match[3] || "-", symbol = match[4] || "", zfill = match[5], width = +match[6], comma = match[7], precision = match[8], type = match[9], scale = 1, prefix = "", suffix = "", integer = false, exponent = true;
if (precision) precision = +precision.substring(1);
if (zfill || fill === "0" && align === "=") {
zfill = fill = "0";
align = "=";
}
switch (type) {
case "n":
comma = true;
type = "g";
break;
case "%":
scale = 100;
suffix = "%";
type = "f";
break;
case "p":
scale = 100;
suffix = "%";
type = "r";
break;
case "b":
case "o":
case "x":
case "X":
if (symbol === "#") prefix = "0" + type.toLowerCase();
case "c":
exponent = false;
case "d":
integer = true;
precision = 0;
break;
case "s":
scale = -1;
type = "r";
break;
}
if (symbol === "$") prefix = locale_currency[0], suffix = locale_currency[1];
if (type == "r" && !precision) type = "g";
if (precision != null) {
if (type == "g") precision = Math.max(1, Math.min(21, precision)); else if (type == "e" || type == "f") precision = Math.max(0, Math.min(20, precision));
}
type = d3_format_types.get(type) || d3_format_typeDefault;
var zcomma = zfill && comma;
return function(value) {
var fullSuffix = suffix;
if (integer && value % 1) return "";
var negative = value < 0 || value === 0 && 1 / value < 0 ? (value = -value, "-") : sign === "-" ? "" : sign;
if (scale < 0) {
var unit = d3.formatPrefix(value, precision);
value = unit.scale(value);
fullSuffix = unit.symbol + suffix;
} else {
value *= scale;
}
value = type(value, precision);
var i = value.lastIndexOf("."), before, after;
if (i < 0) {
var j = exponent ? value.lastIndexOf("e") : -1;
if (j < 0) before = value, after = ""; else before = value.substring(0, j), after = value.substring(j);
} else {
before = value.substring(0, i);
after = locale_decimal + value.substring(i + 1);
}
if (!zfill && comma) before = formatGroup(before, Infinity);
var length = prefix.length + before.length + after.length + (zcomma ? 0 : negative.length), padding = length < width ? new Array(length = width - length + 1).join(fill) : "";
if (zcomma) before = formatGroup(padding + before, padding.length ? width - after.length : Infinity);
negative += prefix;
value = before + after;
return (align === "<" ? negative + value + padding : align === ">" ? padding + negative + value : align === "^" ? padding.substring(0, length >>= 1) + negative + value + padding.substring(length) : negative + (zcomma ? value : padding + value)) + fullSuffix;
};
};
}
var d3_format_re = /(?:([^{])?([<>=^]))?([+\- ])?([$#])?(0)?(\d+)?(,)?(\.-?\d+)?([a-z%])?/i;
var d3_format_types = d3.map({
b: function(x) {
return x.toString(2);
},
c: function(x) {
return String.fromCharCode(x);
},
o: function(x) {
return x.toString(8);
},
x: function(x) {
return x.toString(16);
},
X: function(x) {
return x.toString(16).toUpperCase();
},
g: function(x, p) {
return x.toPrecision(p);
},
e: function(x, p) {
return x.toExponential(p);
},
f: function(x, p) {
return x.toFixed(p);
},
r: function(x, p) {
return (x = d3.round(x, d3_format_precision(x, p))).toFixed(Math.max(0, Math.min(20, d3_format_precision(x * (1 + 1e-15), p))));
}
});
function d3_format_typeDefault(x) {
return x + "";
}
var d3_time = d3.time = {}, d3_date = Date;
function d3_date_utc() {
this._ = new Date(arguments.length > 1 ? Date.UTC.apply(this, arguments) : arguments[0]);
}
d3_date_utc.prototype = {
getDate: function() {
return this._.getUTCDate();
},
getDay: function() {
return this._.getUTCDay();
},
getFullYear: function() {
return this._.getUTCFullYear();
},
getHours: function() {
return this._.getUTCHours();
},
getMilliseconds: function() {
return this._.getUTCMilliseconds();
},
getMinutes: function() {
return this._.getUTCMinutes();
},
getMonth: function() {
return this._.getUTCMonth();
},
getSeconds: function() {
return this._.getUTCSeconds();
},
getTime: function() {
return this._.getTime();
},
getTimezoneOffset: function() {
return 0;
},
valueOf: function() {
return this._.valueOf();
},
setDate: function() {
d3_time_prototype.setUTCDate.apply(this._, arguments);
},
setDay: function() {
d3_time_prototype.setUTCDay.apply(this._, arguments);
},
setFullYear: function() {
d3_time_prototype.setUTCFullYear.apply(this._, arguments);
},
setHours: function() {
d3_time_prototype.setUTCHours.apply(this._, arguments);
},
setMilliseconds: function() {
d3_time_prototype.setUTCMilliseconds.apply(this._, arguments);
},
setMinutes: function() {
d3_time_prototype.setUTCMinutes.apply(this._, arguments);
},
setMonth: function() {
d3_time_prototype.setUTCMonth.apply(this._, arguments);
},
setSeconds: function() {
d3_time_prototype.setUTCSeconds.apply(this._, arguments);
},
setTime: function() {
d3_time_prototype.setTime.apply(this._, arguments);
}
};
var d3_time_prototype = Date.prototype;
function d3_time_interval(local, step, number) {
function round(date) {
var d0 = local(date), d1 = offset(d0, 1);
return date - d0 < d1 - date ? d0 : d1;
}
function ceil(date) {
step(date = local(new d3_date(date - 1)), 1);
return date;
}
function offset(date, k) {
step(date = new d3_date(+date), k);
return date;
}
function range(t0, t1, dt) {
var time = ceil(t0), times = [];
if (dt > 1) {
while (time < t1) {
if (!(number(time) % dt)) times.push(new Date(+time));
step(time, 1);
}
} else {
while (time < t1) times.push(new Date(+time)), step(time, 1);
}
return times;
}
function range_utc(t0, t1, dt) {
try {
d3_date = d3_date_utc;
var utc = new d3_date_utc();
utc._ = t0;
return range(utc, t1, dt);
} finally {
d3_date = Date;
}
}
local.floor = local;
local.round = round;
local.ceil = ceil;
local.offset = offset;
local.range = range;
var utc = local.utc = d3_time_interval_utc(local);
utc.floor = utc;
utc.round = d3_time_interval_utc(round);
utc.ceil = d3_time_interval_utc(ceil);
utc.offset = d3_time_interval_utc(offset);
utc.range = range_utc;
return local;
}
function d3_time_interval_utc(method) {
return function(date, k) {
try {
d3_date = d3_date_utc;
var utc = new d3_date_utc();
utc._ = date;
return method(utc, k)._;
} finally {
d3_date = Date;
}
};
}
d3_time.year = d3_time_interval(function(date) {
date = d3_time.day(date);
date.setMonth(0, 1);
return date;
}, function(date, offset) {
date.setFullYear(date.getFullYear() + offset);
}, function(date) {
return date.getFullYear();
});
d3_time.years = d3_time.year.range;
d3_time.years.utc = d3_time.year.utc.range;
d3_time.day = d3_time_interval(function(date) {
var day = new d3_date(2e3, 0);
day.setFullYear(date.getFullYear(), date.getMonth(), date.getDate());
return day;
}, function(date, offset) {
date.setDate(date.getDate() + offset);
}, function(date) {
return date.getDate() - 1;
});
d3_time.days = d3_time.day.range;
d3_time.days.utc = d3_time.day.utc.range;
d3_time.dayOfYear = function(date) {
var year = d3_time.year(date);
return Math.floor((date - year - (date.getTimezoneOffset() - year.getTimezoneOffset()) * 6e4) / 864e5);
};
[ "sunday", "monday", "tuesday", "wednesday", "thursday", "friday", "saturday" ].forEach(function(day, i) {
i = 7 - i;
var interval = d3_time[day] = d3_time_interval(function(date) {
(date = d3_time.day(date)).setDate(date.getDate() - (date.getDay() + i) % 7);
return date;
}, function(date, offset) {
date.setDate(date.getDate() + Math.floor(offset) * 7);
}, function(date) {
var day = d3_time.year(date).getDay();
return Math.floor((d3_time.dayOfYear(date) + (day + i) % 7) / 7) - (day !== i);
});
d3_time[day + "s"] = interval.range;
d3_time[day + "s"].utc = interval.utc.range;
d3_time[day + "OfYear"] = function(date) {
var day = d3_time.year(date).getDay();
return Math.floor((d3_time.dayOfYear(date) + (day + i) % 7) / 7);
};
});
d3_time.week = d3_time.sunday;
d3_time.weeks = d3_time.sunday.range;
d3_time.weeks.utc = d3_time.sunday.utc.range;
d3_time.weekOfYear = d3_time.sundayOfYear;
function d3_locale_timeFormat(locale) {
var locale_dateTime = locale.dateTime, locale_date = locale.date, locale_time = locale.time, locale_periods = locale.periods, locale_days = locale.days, locale_shortDays = locale.shortDays, locale_months = locale.months, locale_shortMonths = locale.shortMonths;
function d3_time_format(template) {
var n = template.length;
function format(date) {
var string = [], i = -1, j = 0, c, p, f;
while (++i < n) {
if (template.charCodeAt(i) === 37) {
string.push(template.slice(j, i));
if ((p = d3_time_formatPads[c = template.charAt(++i)]) != null) c = template.charAt(++i);
if (f = d3_time_formats[c]) c = f(date, p == null ? c === "e" ? " " : "0" : p);
string.push(c);
j = i + 1;
}
}
string.push(template.slice(j, i));
return string.join("");
}
format.parse = function(string) {
var d = {
y: 1900,
m: 0,
d: 1,
H: 0,
M: 0,
S: 0,
L: 0,
Z: null
}, i = d3_time_parse(d, template, string, 0);
if (i != string.length) return null;
if ("p" in d) d.H = d.H % 12 + d.p * 12;
var localZ = d.Z != null && d3_date !== d3_date_utc, date = new (localZ ? d3_date_utc : d3_date)();
if ("j" in d) date.setFullYear(d.y, 0, d.j); else if ("w" in d && ("W" in d || "U" in d)) {
date.setFullYear(d.y, 0, 1);
date.setFullYear(d.y, 0, "W" in d ? (d.w + 6) % 7 + d.W * 7 - (date.getDay() + 5) % 7 : d.w + d.U * 7 - (date.getDay() + 6) % 7);
} else date.setFullYear(d.y, d.m, d.d);
date.setHours(d.H + (d.Z / 100 | 0), d.M + d.Z % 100, d.S, d.L);
return localZ ? date._ : date;
};
format.toString = function() {
return template;
};
return format;
}
function d3_time_parse(date, template, string, j) {
var c, p, t, i = 0, n = template.length, m = string.length;
while (i < n) {
if (j >= m) return -1;
c = template.charCodeAt(i++);
if (c === 37) {
t = template.charAt(i++);
p = d3_time_parsers[t in d3_time_formatPads ? template.charAt(i++) : t];
if (!p || (j = p(date, string, j)) < 0) return -1;
} else if (c != string.charCodeAt(j++)) {
return -1;
}
}
return j;
}
d3_time_format.utc = function(template) {
var local = d3_time_format(template);
function format(date) {
try {
d3_date = d3_date_utc;
var utc = new d3_date();
utc._ = date;
return local(utc);
} finally {
d3_date = Date;
}
}
format.parse = function(string) {
try {
d3_date = d3_date_utc;
var date = local.parse(string);
return date && date._;
} finally {
d3_date = Date;
}
};
format.toString = local.toString;
return format;
};
d3_time_format.multi = d3_time_format.utc.multi = d3_time_formatMulti;
var d3_time_periodLookup = d3.map(), d3_time_dayRe = d3_time_formatRe(locale_days), d3_time_dayLookup = d3_time_formatLookup(locale_days), d3_time_dayAbbrevRe = d3_time_formatRe(locale_shortDays), d3_time_dayAbbrevLookup = d3_time_formatLookup(locale_shortDays), d3_time_monthRe = d3_time_formatRe(locale_months), d3_time_monthLookup = d3_time_formatLookup(locale_months), d3_time_monthAbbrevRe = d3_time_formatRe(locale_shortMonths), d3_time_monthAbbrevLookup = d3_time_formatLookup(locale_shortMonths);
locale_periods.forEach(function(p, i) {
d3_time_periodLookup.set(p.toLowerCase(), i);
});
var d3_time_formats = {
a: function(d) {
return locale_shortDays[d.getDay()];
},
A: function(d) {
return locale_days[d.getDay()];
},
b: function(d) {
return locale_shortMonths[d.getMonth()];
},
B: function(d) {
return locale_months[d.getMonth()];
},
c: d3_time_format(locale_dateTime),
d: function(d, p) {
return d3_time_formatPad(d.getDate(), p, 2);
},
e: function(d, p) {
return d3_time_formatPad(d.getDate(), p, 2);
},
H: function(d, p) {
return d3_time_formatPad(d.getHours(), p, 2);
},
I: function(d, p) {
return d3_time_formatPad(d.getHours() % 12 || 12, p, 2);
},
j: function(d, p) {
return d3_time_formatPad(1 + d3_time.dayOfYear(d), p, 3);
},
L: function(d, p) {
return d3_time_formatPad(d.getMilliseconds(), p, 3);
},
m: function(d, p) {
return d3_time_formatPad(d.getMonth() + 1, p, 2);
},
M: function(d, p) {
return d3_time_formatPad(d.getMinutes(), p, 2);
},
p: function(d) {
return locale_periods[+(d.getHours() >= 12)];
},
S: function(d, p) {
return d3_time_formatPad(d.getSeconds(), p, 2);
},
U: function(d, p) {
return d3_time_formatPad(d3_time.sundayOfYear(d), p, 2);
},
w: function(d) {
return d.getDay();
},
W: function(d, p) {
return d3_time_formatPad(d3_time.mondayOfYear(d), p, 2);
},
x: d3_time_format(locale_date),
X: d3_time_format(locale_time),
y: function(d, p) {
return d3_time_formatPad(d.getFullYear() % 100, p, 2);
},
Y: function(d, p) {
return d3_time_formatPad(d.getFullYear() % 1e4, p, 4);
},
Z: d3_time_zone,
"%": function() {
return "%";
}
};
var d3_time_parsers = {
a: d3_time_parseWeekdayAbbrev,
A: d3_time_parseWeekday,
b: d3_time_parseMonthAbbrev,
B: d3_time_parseMonth,
c: d3_time_parseLocaleFull,
d: d3_time_parseDay,
e: d3_time_parseDay,
H: d3_time_parseHour24,
I: d3_time_parseHour24,
j: d3_time_parseDayOfYear,
L: d3_time_parseMilliseconds,
m: d3_time_parseMonthNumber,
M: d3_time_parseMinutes,
p: d3_time_parseAmPm,
S: d3_time_parseSeconds,
U: d3_time_parseWeekNumberSunday,
w: d3_time_parseWeekdayNumber,
W: d3_time_parseWeekNumberMonday,
x: d3_time_parseLocaleDate,
X: d3_time_parseLocaleTime,
y: d3_time_parseYear,
Y: d3_time_parseFullYear,
Z: d3_time_parseZone,
"%": d3_time_parseLiteralPercent
};
function d3_time_parseWeekdayAbbrev(date, string, i) {
d3_time_dayAbbrevRe.lastIndex = 0;
var n = d3_time_dayAbbrevRe.exec(string.slice(i));
return n ? (date.w = d3_time_dayAbbrevLookup.get(n[0].toLowerCase()), i + n[0].length) : -1;
}
function d3_time_parseWeekday(date, string, i) {
d3_time_dayRe.lastIndex = 0;
var n = d3_time_dayRe.exec(string.slice(i));
return n ? (date.w = d3_time_dayLookup.get(n[0].toLowerCase()), i + n[0].length) : -1;
}
function d3_time_parseMonthAbbrev(date, string, i) {
d3_time_monthAbbrevRe.lastIndex = 0;
var n = d3_time_monthAbbrevRe.exec(string.slice(i));
return n ? (date.m = d3_time_monthAbbrevLookup.get(n[0].toLowerCase()), i + n[0].length) : -1;
}
function d3_time_parseMonth(date, string, i) {
d3_time_monthRe.lastIndex = 0;
var n = d3_time_monthRe.exec(string.slice(i));
return n ? (date.m = d3_time_monthLookup.get(n[0].toLowerCase()), i + n[0].length) : -1;
}
function d3_time_parseLocaleFull(date, string, i) {
return d3_time_parse(date, d3_time_formats.c.toString(), string, i);
}
function d3_time_parseLocaleDate(date, string, i) {
return d3_time_parse(date, d3_time_formats.x.toString(), string, i);
}
function d3_time_parseLocaleTime(date, string, i) {
return d3_time_parse(date, d3_time_formats.X.toString(), string, i);
}
function d3_time_parseAmPm(date, string, i) {
var n = d3_time_periodLookup.get(string.slice(i, i += 2).toLowerCase());
return n == null ? -1 : (date.p = n, i);
}
return d3_time_format;
}
var d3_time_formatPads = {
"-": "",
_: " ",
"0": "0"
}, d3_time_numberRe = /^\s*\d+/, d3_time_percentRe = /^%/;
function d3_time_formatPad(value, fill, width) {
var sign = value < 0 ? "-" : "", string = (sign ? -value : value) + "", length = string.length;
return sign + (length < width ? new Array(width - length + 1).join(fill) + string : string);
}
function d3_time_formatRe(names) {
return new RegExp("^(?:" + names.map(d3.requote).join("|") + ")", "i");
}
function d3_time_formatLookup(names) {
var map = new d3_Map(), i = -1, n = names.length;
while (++i < n) map.set(names[i].toLowerCase(), i);
return map;
}
function d3_time_parseWeekdayNumber(date, string, i) {
d3_time_numberRe.lastIndex = 0;
var n = d3_time_numberRe.exec(string.slice(i, i + 1));
return n ? (date.w = +n[0], i + n[0].length) : -1;
}
function d3_time_parseWeekNumberSunday(date, string, i) {
d3_time_numberRe.lastIndex = 0;
var n = d3_time_numberRe.exec(string.slice(i));
return n ? (date.U = +n[0], i + n[0].length) : -1;
}
function d3_time_parseWeekNumberMonday(date, string, i) {
d3_time_numberRe.lastIndex = 0;
var n = d3_time_numberRe.exec(string.slice(i));
return n ? (date.W = +n[0], i + n[0].length) : -1;
}
function d3_time_parseFullYear(date, string, i) {
d3_time_numberRe.lastIndex = 0;
var n = d3_time_numberRe.exec(string.slice(i, i + 4));
return n ? (date.y = +n[0], i + n[0].length) : -1;
}
function d3_time_parseYear(date, string, i) {
d3_time_numberRe.lastIndex = 0;
var n = d3_time_numberRe.exec(string.slice(i, i + 2));
return n ? (date.y = d3_time_expandYear(+n[0]), i + n[0].length) : -1;
}
function d3_time_parseZone(date, string, i) {
return /^[+-]\d{4}$/.test(string = string.slice(i, i + 5)) ? (date.Z = -string,
i + 5) : -1;
}
function d3_time_expandYear(d) {
return d + (d > 68 ? 1900 : 2e3);
}
function d3_time_parseMonthNumber(date, string, i) {
d3_time_numberRe.lastIndex = 0;
var n = d3_time_numberRe.exec(string.slice(i, i + 2));
return n ? (date.m = n[0] - 1, i + n[0].length) : -1;
}
function d3_time_parseDay(date, string, i) {
d3_time_numberRe.lastIndex = 0;
var n = d3_time_numberRe.exec(string.slice(i, i + 2));
return n ? (date.d = +n[0], i + n[0].length) : -1;
}
function d3_time_parseDayOfYear(date, string, i) {
d3_time_numberRe.lastIndex = 0;
var n = d3_time_numberRe.exec(string.slice(i, i + 3));
return n ? (date.j = +n[0], i + n[0].length) : -1;
}
function d3_time_parseHour24(date, string, i) {
d3_time_numberRe.lastIndex = 0;
var n = d3_time_numberRe.exec(string.slice(i, i + 2));
return n ? (date.H = +n[0], i + n[0].length) : -1;
}
function d3_time_parseMinutes(date, string, i) {
d3_time_numberRe.lastIndex = 0;
var n = d3_time_numberRe.exec(string.slice(i, i + 2));
return n ? (date.M = +n[0], i + n[0].length) : -1;
}
function d3_time_parseSeconds(date, string, i) {
d3_time_numberRe.lastIndex = 0;
var n = d3_time_numberRe.exec(string.slice(i, i + 2));
return n ? (date.S = +n[0], i + n[0].length) : -1;
}
function d3_time_parseMilliseconds(date, string, i) {
d3_time_numberRe.lastIndex = 0;
var n = d3_time_numberRe.exec(string.slice(i, i + 3));
return n ? (date.L = +n[0], i + n[0].length) : -1;
}
function d3_time_zone(d) {
var z = d.getTimezoneOffset(), zs = z > 0 ? "-" : "+", zh = abs(z) / 60 | 0, zm = abs(z) % 60;
return zs + d3_time_formatPad(zh, "0", 2) + d3_time_formatPad(zm, "0", 2);
}
function d3_time_parseLiteralPercent(date, string, i) {
d3_time_percentRe.lastIndex = 0;
var n = d3_time_percentRe.exec(string.slice(i, i + 1));
return n ? i + n[0].length : -1;
}
function d3_time_formatMulti(formats) {
var n = formats.length, i = -1;
while (++i < n) formats[i][0] = this(formats[i][0]);
return function(date) {
var i = 0, f = formats[i];
while (!f[1](date)) f = formats[++i];
return f[0](date);
};
}
d3.locale = function(locale) {
return {
numberFormat: d3_locale_numberFormat(locale),
timeFormat: d3_locale_timeFormat(locale)
};
};
var d3_locale_enUS = d3.locale({
decimal: ".",
thousands: ",",
grouping: [ 3 ],
currency: [ "$", "" ],
dateTime: "%a %b %e %X %Y",
date: "%m/%d/%Y",
time: "%H:%M:%S",
periods: [ "AM", "PM" ],
days: [ "Sunday", "Monday", "Tuesday", "Wednesday", "Thursday", "Friday", "Saturday" ],
shortDays: [ "Sun", "Mon", "Tue", "Wed", "Thu", "Fri", "Sat" ],
months: [ "January", "February", "March", "April", "May", "June", "July", "August", "September", "October", "November", "December" ],
shortMonths: [ "Jan", "Feb", "Mar", "Apr", "May", "Jun", "Jul", "Aug", "Sep", "Oct", "Nov", "Dec" ]
});
d3.format = d3_locale_enUS.numberFormat;
d3.geo = {};
function d3_adder() {}
d3_adder.prototype = {
s: 0,
t: 0,
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, bv = x - a, av = x - bv;
o.t = a - av + (b - bv);
}
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.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,
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;
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);
};
function nextPoint(λ, φ) {
λ *= d3_radians;
φ = φ * d3_radians / 2 + π / 4;
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));
λ0 = λ, cosφ0 = cosφ, sinφ0 = sinφ;
}
d3_geo_area.lineEnd = function() {
nextPoint(λ00, φ00);
};
}
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_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;
}
d3.geo.bounds = function() {
var λ0, φ0, λ1, φ1, λ_, λ__, φ__, p0, 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;
}
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) {
ranges.sort(compareRanges);
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);
}
}
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 (m < ε2) {
x = d3_geo_centroidX1, y = d3_geo_centroidY1, z = d3_geo_centroidZ1;
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 (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;
}
};
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;
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;
}
function d3_geo_centroidRingStart() {
var λ00, φ00, x0, y0, z0;
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, w = Math.atan2(m, u);
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);
}
}
function d3_true() {
return true;
}
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 (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) {
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;
this.e = entry;
this.v = false;
this.n = this.p = null;
}
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;
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;
}
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()));
}
};
}
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 ]);
function d3_geo_clipAntimeridianLine(listener) {
var λ0 = NaN, φ0 = NaN, sλ0 = NaN, clean;
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) {
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) {
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;
},
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]);
}
}
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;
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;
}
}
return (polarAngle < -ε || polarAngle < ε && d3_geo_areaRingSum < 0) ^ winding & 1;
}
function d3_geo_clipCircle(radius) {
var cr = Math.cos(radius), smallRadius = cr > 0, notHemisphere = abs(cr) > ε, 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;
}
function clipLine(listener) {
var point0, c0, v0, v00, clean;
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();
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) {
listener.lineStart();
point2 = intersect(point1, point0);
listener.point(point2[0], point2[1]);
} else {
point2 = intersect(point0, point1);
listener.point(point2[0], point2[1]);
listener.lineEnd();
}
point0 = point2;
} else if (notHemisphere && point0 && smallRadius ^ v) {
var t;
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;
},
clean: function() {
return clean | (v00 && v0) << 1;
}
};
}
function intersect(a, b, two) {
var pa = d3_geo_cartesian(a), pb = d3_geo_cartesian(b);
var n1 = [ 1, 0, 0 ], n2 = d3_geo_cartesianCross(pa, pb), n2n2 = d3_geo_cartesianDot(n2, n2), n1n2 = n2[0], determinant = n2n2 - n1n2 * n1n2;
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);
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;
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;
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) ];
}
}
function code(λ, φ) {
var r = smallRadius ? radius : π - radius, code = 0;
if (λ < -r) code |= 1; else if (λ > r) code |= 2;
if (φ < -r) code |= 4; else if (φ > r) code |= 8;
return code;
}
}
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;
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, 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__, x_, y_, v_, first, clean;
function lineStart() {
clip.point = linePoint;
if (polygon) polygon.push(ring = []);
first = true;
v_ = false;
x_ = y_ = NaN;
}
function lineEnd() {
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;
}
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_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_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;
d3.geo.albers = function() {
return d3.geo.conicEqualArea().rotate([ 96, 0 ]).center([ -.6, 38.7 ]).parallels([ 29.5, 45.5 ]).scale(1070);
};
d3.geo.albersUsa = function() {
var lower48 = d3.geo.albers();
var alaska = d3.geo.conicEqualArea().rotate([ 154, 0 ]).center([ -2, 58.5 ]).parallels([ 55, 65 ]);
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 >= .12 && y < .234 && x >= -.425 && x < -.214 ? alaska : y >= .166 && y < .234 && x >= -.214 && x < -.115 ? hawaii : lower48).invert(coordinates);
};
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 + .12 * 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);
};
var d3_geo_pathAreaSum, d3_geo_pathAreaPolygon, d3_geo_pathArea = {
point: d3_noop,
lineStart: d3_noop,
lineEnd: d3_noop,
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;
d3_geo_pathArea.point = function(x, y) {
d3_geo_pathArea.point = nextPoint;
x00 = x0 = x, y00 = y0 = y;
};
function nextPoint(x, y) {
d3_geo_pathAreaPolygon += y0 * x - x0 * y;
x0 = x, y0 = y;
}
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,
lineStart: function() {
stream.point = pointLineStart;
},
lineEnd: lineEnd,
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";
}
var d3_geo_pathCentroid = {
point: d3_geo_pathCentroidPoint,
lineStart: d3_geo_pathCentroidLineStart,
lineEnd: d3_geo_pathCentroidLineEnd,
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;
d3_geo_pathCentroid.point = function(x, y) {
d3_geo_pathCentroid.point = nextPoint;
d3_geo_pathCentroidPoint(x00 = x0 = x, y00 = 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;
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);
}
d3_geo_pathCentroid.lineEnd = function() {
nextPoint(x00, y00);
};
}
function d3_geo_pathContext(context) {
var pointRadius = 4.5;
var stream = {
point: point,
lineStart: function() {
stream.point = pointLineStart;
},
lineEnd: lineEnd,
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, 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, cosMinDistance = Math.cos(30 * d3_radians), 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, λ0, x0, y0, a0, b0, c0;
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 || abs((dx * dx2 + dy * dy2) / d2 - .5) > .3 || a0 * a1 + b0 * b1 + c0 * c1 < cosMinDistance) {
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, x = 480, y = 250, λ = 0, φ = 0, δλ = 0, δφ = 0, δγ = 0, δx, δy, 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;
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_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;
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);
};
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]);
}
};
}
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);
}
d3.geo.distance = function(a, b) {
var Δλ = (b[0] - a[0]) * d3_radians, φ0 = a[1] * d3_radians, φ1 = b[1] * d3_radians, sinΔλ = Math.sin(Δλ), cosΔλ = Math.cos(Δλ), sinφ0 = Math.sin(φ0), cosφ0 = Math.cos(φ0), sinφ1 = Math.sin(φ1), cosφ1 = Math.cos(φ1), t;
return Math.atan2(Math.sqrt((t = cosφ1 * sinΔλ) * t + (t = cosφ0 * sinφ1 - sinφ0 * cosφ1 * cosΔλ) * t), sinφ0 * sinφ1 + cosφ0 * cosφ1 * cosΔλ);
};
d3.geo.graticule = function() {
var x1, x0, X1, X0, y1, y0, Y1, Y0, dx = 10, dy = dx, DX = 90, DY = 360, x, y, X, Y, precision = 2.5;
function graticule() {
return {
type: "MultiLineString",
coordinates: lines()
};
}
function lines() {
return d3.range(Math.ceil(X0 / DX) * DX, X1, DX).map(X).concat(d3.range(Math.ceil(Y0 / DY) * DY, Y1, DY).map(Y)).concat(d3.range(Math.ceil(x0 / dx) * dx, x1, dx).filter(function(x) {
return abs(x % DX) > ε;
}).map(x)).concat(d3.range(Math.ceil(y0 / dy) * dy, y1, dy).filter(function(y) {
return abs(y % DY) > ε;
}).map(y));
}
graticule.lines = function() {
return lines().map(function(coordinates) {
return {
type: "LineString",
coordinates: coordinates
};
});
};
graticule.outline = function() {
return {
type: "Polygon",
coordinates: [ X(X0).concat(Y(Y1).slice(1), X(X1).reverse().slice(1), Y(Y0).reverse().slice(1)) ]
};
};
graticule.extent = function(_) {
if (!arguments.length) return graticule.minorExtent();
return graticule.majorExtent(_).minorExtent(_);
};
graticule.majorExtent = function(_) {
if (!arguments.length) return [ [ X0, Y0 ], [ X1, Y1 ] ];
X0 = +_[0][0], X1 = +_[1][0];
Y0 = +_[0][1], Y1 = +_[1][1];
if (X0 > X1) _ = X0, X0 = X1, X1 = _;
if (Y0 > Y1) _ = Y0, Y0 = Y1, Y1 = _;
return graticule.precision(precision);
};
graticule.minorExtent = function(_) {
if (!arguments.length) return [ [ x0, y0 ], [ x1, y1 ] ];
x0 = +_[0][0], x1 = +_[1][0];
y0 = +_[0][1], y1 = +_[1][1];
if (x0 > x1) _ = x0, x0 = x1, x1 = _;
if (y0 > y1) _ = y0, y0 = y1, y1 = _;
return graticule.precision(precision);
};
graticule.step = function(_) {
if (!arguments.length) return graticule.minorStep();
return graticule.majorStep(_).minorStep(_);
};
graticule.majorStep = function(_) {
if (!arguments.length) return [ DX, DY ];
DX = +_[0], DY = +_[1];
return graticule;
};
graticule.minorStep = function(_) {
if (!arguments.length) return [ dx, dy ];
dx = +_[0], dy = +_[1];
return graticule;
};
graticule.precision = function(_) {
if (!arguments.length) return precision;
precision = +_;
x = d3_geo_graticuleX(y0, y1, 90);
y = d3_geo_graticuleY(x0, x1, precision);
X = d3_geo_graticuleX(Y0, Y1, 90);
Y = d3_geo_graticuleY(X0, X1, precision);
return graticule;
};
return graticule.majorExtent([ [ -180, -90 + ε ], [ 180, 90 - ε ] ]).minorExtent([ [ -180, -80 - ε ], [ 180, 80 + ε ] ]);
};
function d3_geo_graticuleX(y0, y1, dy) {
var y = d3.range(y0, y1 - ε, dy).concat(y1);
return function(x) {
return y.map(function(y) {
return [ x, y ];
});
};
}
function d3_geo_graticuleY(x0, x1, dx) {
var x = d3.range(x0, x1 - ε, dx).concat(x1);
return function(y) {
return x.map(function(x) {
return [ x, y ];
});
};
}
function d3_source(d) {
return d.source;
}
function d3_target(d) {
return d.target;
}
d3.geo.greatArc = function() {
var source = d3_source, source_, target = d3_target, target_;
function greatArc() {
return {
type: "LineString",
coordinates: [ source_ || source.apply(this, arguments), target_ || target.apply(this, arguments) ]
};
}
greatArc.distance = function() {
return d3.geo.distance(source_ || source.apply(this, arguments), target_ || target.apply(this, arguments));
};
greatArc.source = function(_) {
if (!arguments.length) return source;
source = _, source_ = typeof _ === "function" ? null : _;
return greatArc;
};
greatArc.target = function(_) {
if (!arguments.length) return target;
target = _, target_ = typeof _ === "function" ? null : _;
return greatArc;
};
greatArc.precision = function() {
return arguments.length ? greatArc : 0;
};
return greatArc;
};
d3.geo.interpolate = function(source, target) {
return d3_geo_interpolate(source[0] * d3_radians, source[1] * d3_radians, target[0] * d3_radians, target[1] * d3_radians);
};
function d3_geo_interpolate(x0, y0, x1, y1) {
var cy0 = Math.cos(y0), sy0 = Math.sin(y0), cy1 = Math.cos(y1), sy1 = Math.sin(y1), kx0 = cy0 * Math.cos(x0), ky0 = cy0 * Math.sin(x0), kx1 = cy1 * Math.cos(x1), ky1 = cy1 * Math.sin(x1), d = 2 * Math.asin(Math.sqrt(d3_haversin(y1 - y0) + cy0 * cy1 * d3_haversin(x1 - x0))), k = 1 / Math.sin(d);
var interpolate = d ? function(t) {
var B = Math.sin(t *= d) * k, A = Math.sin(d - t) * k, x = A * kx0 + B * kx1, y = A * ky0 + B * ky1, z = A * sy0 + B * sy1;
return [ Math.atan2(y, x) * d3_degrees, Math.atan2(z, Math.sqrt(x * x + y * y)) * d3_degrees ];
} : function() {
return [ x0 * d3_degrees, y0 * d3_degrees ];
};
interpolate.distance = d;
return interpolate;
}
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_geo_azimuthal(scale, angle) {
function azimuthal(λ, φ) {
var cosλ = Math.cos(λ), cosφ = Math.cos(φ), k = scale(cosλ * cosφ);
return [ k * cosφ * Math.sin(λ), k * Math.sin(φ) ];
}
azimuthal.invert = function(x, y) {
var ρ = Math.sqrt(x * x + y * y), c = angle(ρ), sinc = Math.sin(c), cosc = Math.cos(c);
return [ Math.atan2(x * sinc, ρ * cosc), Math.asin(ρ && y * sinc / ρ) ];
};
return azimuthal;
}
var d3_geo_azimuthalEqualArea = d3_geo_azimuthal(function(cosλcosφ) {
return Math.sqrt(2 / (1 + cosλcosφ));
}, function(ρ) {
return 2 * Math.asin(ρ / 2);
});
(d3.geo.azimuthalEqualArea = function() {
return d3_geo_projection(d3_geo_azimuthalEqualArea);
}).raw = d3_geo_azimuthalEqualArea;
var d3_geo_azimuthalEquidistant = d3_geo_azimuthal(function(cosλcosφ) {
var c = Math.acos(cosλcosφ);
return c && c / Math.sin(c);
}, d3_identity);
(d3.geo.azimuthalEquidistant = function() {
return d3_geo_projection(d3_geo_azimuthalEquidistant);
}).raw = d3_geo_azimuthalEquidistant;
function d3_geo_conicConformal(φ0, φ1) {
var cosφ0 = Math.cos(φ0), t = function(φ) {
return Math.tan(π / 4 + φ / 2);
}, n = φ0 === φ1 ? Math.sin(φ0) : Math.log(cosφ0 / Math.cos(φ1)) / Math.log(t(φ1) / t(φ0)), F = cosφ0 * Math.pow(t(φ0), n) / n;
if (!n) return d3_geo_mercator;
function forward(λ, φ) {
if (F > 0) {
if (φ < -halfπ + ε) φ = -halfπ + ε;
} else {
if (φ > halfπ - ε) φ = halfπ - ε;
}
var ρ = F / Math.pow(t(φ), n);
return [ ρ * Math.sin(n * λ), F - ρ * Math.cos(n * λ) ];
}
forward.invert = function(x, y) {
var ρ0_y = F - y, ρ = d3_sgn(n) * Math.sqrt(x * x + ρ0_y * ρ0_y);
return [ Math.atan2(x, ρ0_y) / n, 2 * Math.atan(Math.pow(F / ρ, 1 / n)) - halfπ ];
};
return forward;
}
(d3.geo.conicConformal = function() {
return d3_geo_conic(d3_geo_conicConformal);
}).raw = d3_geo_conicConformal;
function d3_geo_conicEquidistant(φ0, φ1) {
var cosφ0 = Math.cos(φ0), n = φ0 === φ1 ? Math.sin(φ0) : (cosφ0 - Math.cos(φ1)) / (φ1 - φ0), G = cosφ0 / n + φ0;
if (abs(n) < ε) return d3_geo_equirectangular;
function forward(λ, φ) {
var ρ = G - φ;
return [ ρ * Math.sin(n * λ), G - ρ * Math.cos(n * λ) ];
}
forward.invert = function(x, y) {
var ρ0_y = G - y;
return [ Math.atan2(x, ρ0_y) / n, G - d3_sgn(n) * Math.sqrt(x * x + ρ0_y * ρ0_y) ];
};
return forward;
}
(d3.geo.conicEquidistant = function() {
return d3_geo_conic(d3_geo_conicEquidistant);
}).raw = d3_geo_conicEquidistant;
var d3_geo_gnomonic = d3_geo_azimuthal(function(cosλcosφ) {
return 1 / cosλcosφ;
}, Math.atan);
(d3.geo.gnomonic = function() {
return d3_geo_projection(d3_geo_gnomonic);
}).raw = d3_geo_gnomonic;
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;
var d3_geo_orthographic = d3_geo_azimuthal(function() {
return 1;
}, Math.asin);
(d3.geo.orthographic = function() {
return d3_geo_projection(d3_geo_orthographic);
}).raw = d3_geo_orthographic;
var d3_geo_stereographic = d3_geo_azimuthal(function(cosλcosφ) {
return 1 / (1 + cosλcosφ);
}, function(ρ) {
return 2 * Math.atan(ρ);
});
(d3.geo.stereographic = function() {
return d3_geo_projection(d3_geo_stereographic);
}).raw = d3_geo_stereographic;
function d3_geo_transverseMercator(λ, φ) {
return [ Math.log(Math.tan(π / 4 + φ / 2)), -λ ];
}
d3_geo_transverseMercator.invert = function(x, y) {
return [ -y, 2 * Math.atan(Math.exp(x)) - halfπ ];
};
(d3.geo.transverseMercator = function() {
var projection = d3_geo_mercatorProjection(d3_geo_transverseMercator), center = projection.center, rotate = projection.rotate;
projection.center = function(_) {
return _ ? center([ -_[1], _[0] ]) : (_ = center(), [ _[1], -_[0] ]);
};
projection.rotate = function(_) {
return _ ? rotate([ _[0], _[1], _.length > 2 ? _[2] + 90 : 90 ]) : (_ = rotate(),
[ _[0], _[1], _[2] - 90 ]);
};
return rotate([ 0, 0, 90 ]);
}).raw = d3_geo_transverseMercator;
d3.geom = {};
function d3_geom_pointX(d) {
return d[0];
}
function d3_geom_pointY(d) {
return d[1];
}
d3.geom.hull = function(vertices) {
var x = d3_geom_pointX, y = d3_geom_pointY;
if (arguments.length) return hull(vertices);
function hull(data) {
if (data.length < 3) return [];
var fx = d3_functor(x), fy = d3_functor(y), i, n = data.length, points = [], flippedPoints = [];
for (i = 0; i < n; i++) {
points.push([ +fx.call(this, data[i], i), +fy.call(this, data[i], i), i ]);
}
points.sort(d3_geom_hullOrder);
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);
var skipLeft = lower[0] === upper[0], skipRight = lower[lower.length - 1] === upper[upper.length - 1], polygon = [];
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;
};
function d3_geom_hullUpper(points) {
var n = points.length, hull = [ 0, 1 ], hs = 2;
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;
}
return hull.slice(0, hs);
}
function d3_geom_hullOrder(a, b) {
return a[0] - b[0] || a[1] - b[1];
}
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 ];
};
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]);
}
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 ];
}
function d3_geom_polygonClosed(coordinates) {
var a = coordinates[0], b = coordinates[coordinates.length - 1];
return !(a[0] - b[0] || a[1] - b[1]);
}
var d3_geom_voronoiEdges, d3_geom_voronoiCells, d3_geom_voronoiBeaches, d3_geom_voronoiBeachPool = [], d3_geom_voronoiFirstCircle, d3_geom_voronoiCircles, d3_geom_voronoiCirclePool = [];
function d3_geom_voronoiBeach() {
d3_geom_voronoiRedBlackNode(this);
this.edge = this.site = this.circle = null;
}
function d3_geom_voronoiCreateBeach(site) {
var beach = d3_geom_voronoiBeachPool.pop() || new d3_geom_voronoiBeach();
beach.site = site;
return beach;
}
function d3_geom_voronoiDetachBeach(beach) {
d3_geom_voronoiDetachCircle(beach);
d3_geom_voronoiBeaches.remove(beach);
d3_geom_voronoiBeachPool.push(beach);
d3_geom_voronoiRedBlackNode(beach);
}
function d3_geom_voronoiRemoveBeach(beach) {
var circle = beach.circle, x = circle.x, y = circle.cy, vertex = {
x: x,
y: y
}, previous = beach.P, next = beach.N, disappearing = [ beach ];
d3_geom_voronoiDetachBeach(beach);
var lArc = previous;
while (lArc.circle && abs(x - lArc.circle.x) < ε && abs(y - lArc.circle.cy) < ε) {
previous = lArc.P;
disappearing.unshift(lArc);
d3_geom_voronoiDetachBeach(lArc);
lArc = previous;
}
disappearing.unshift(lArc);
d3_geom_voronoiDetachCircle(lArc);
var rArc = next;
while (rArc.circle && abs(x - rArc.circle.x) < ε && abs(y - rArc.circle.cy) < ε) {
next = rArc.N;
disappearing.push(rArc);
d3_geom_voronoiDetachBeach(rArc);
rArc = next;
}
disappearing.push(rArc);
d3_geom_voronoiDetachCircle(rArc);
var nArcs = disappearing.length, iArc;
for (iArc = 1; iArc < nArcs; ++iArc) {
rArc = disappearing[iArc];
lArc = disappearing[iArc - 1];
d3_geom_voronoiSetEdgeEnd(rArc.edge, lArc.site, rArc.site, vertex);
}
lArc = disappearing[0];
rArc = disappearing[nArcs - 1];
rArc.edge = d3_geom_voronoiCreateEdge(lArc.site, rArc.site, null, vertex);
d3_geom_voronoiAttachCircle(lArc);
d3_geom_voronoiAttachCircle(rArc);
}
function d3_geom_voronoiAddBeach(site) {
var x = site.x, directrix = site.y, lArc, rArc, dxl, dxr, node = d3_geom_voronoiBeaches._;
while (node) {
dxl = d3_geom_voronoiLeftBreakPoint(node, directrix) - x;
if (dxl > ε) node = node.L; else {
dxr = x - d3_geom_voronoiRightBreakPoint(node, directrix);
if (dxr > ε) {
if (!node.R) {
lArc = node;
break;
}
node = node.R;
} else {
if (dxl > -ε) {
lArc = node.P;
rArc = node;
} else if (dxr > -ε) {
lArc = node;
rArc = node.N;
} else {
lArc = rArc = node;
}
break;
}
}
}
var newArc = d3_geom_voronoiCreateBeach(site);
d3_geom_voronoiBeaches.insert(lArc, newArc);
if (!lArc && !rArc) return;
if (lArc === rArc) {
d3_geom_voronoiDetachCircle(lArc);
rArc = d3_geom_voronoiCreateBeach(lArc.site);
d3_geom_voronoiBeaches.insert(newArc, rArc);
newArc.edge = rArc.edge = d3_geom_voronoiCreateEdge(lArc.site, newArc.site);
d3_geom_voronoiAttachCircle(lArc);
d3_geom_voronoiAttachCircle(rArc);
return;
}
if (!rArc) {
newArc.edge = d3_geom_voronoiCreateEdge(lArc.site, newArc.site);
return;
}
d3_geom_voronoiDetachCircle(lArc);
d3_geom_voronoiDetachCircle(rArc);
var lSite = lArc.site, ax = lSite.x, ay = lSite.y, bx = site.x - ax, by = site.y - ay, rSite = rArc.site, cx = rSite.x - ax, cy = rSite.y - ay, d = 2 * (bx * cy - by * cx), hb = bx * bx + by * by, hc = cx * cx + cy * cy, vertex = {
x: (cy * hb - by * hc) / d + ax,
y: (bx * hc - cx * hb) / d + ay
};
d3_geom_voronoiSetEdgeEnd(rArc.edge, lSite, rSite, vertex);
newArc.edge = d3_geom_voronoiCreateEdge(lSite, site, null, vertex);
rArc.edge = d3_geom_voronoiCreateEdge(site, rSite, null, vertex);
d3_geom_voronoiAttachCircle(lArc);
d3_geom_voronoiAttachCircle(rArc);
}
function d3_geom_voronoiLeftBreakPoint(arc, directrix) {
var site = arc.site, rfocx = site.x, rfocy = site.y, pby2 = rfocy - directrix;
if (!pby2) return rfocx;
var lArc = arc.P;
if (!lArc) return -Infinity;
site = lArc.site;
var lfocx = site.x, lfocy = site.y, plby2 = lfocy - directrix;
if (!plby2) return lfocx;
var hl = lfocx - rfocx, aby2 = 1 / pby2 - 1 / plby2, b = hl / plby2;
if (aby2) return (-b + Math.sqrt(b * b - 2 * aby2 * (hl * hl / (-2 * plby2) - lfocy + plby2 / 2 + rfocy - pby2 / 2))) / aby2 + rfocx;
return (rfocx + lfocx) / 2;
}
function d3_geom_voronoiRightBreakPoint(arc, directrix) {
var rArc = arc.N;
if (rArc) return d3_geom_voronoiLeftBreakPoint(rArc, directrix);
var site = arc.site;
return site.y === directrix ? site.x : Infinity;
}
function d3_geom_voronoiCell(site) {
this.site = site;
this.edges = [];
}
d3_geom_voronoiCell.prototype.prepare = function() {
var halfEdges = this.edges, iHalfEdge = halfEdges.length, edge;
while (iHalfEdge--) {
edge = halfEdges[iHalfEdge].edge;
if (!edge.b || !edge.a) halfEdges.splice(iHalfEdge, 1);
}
halfEdges.sort(d3_geom_voronoiHalfEdgeOrder);
return halfEdges.length;
};
function d3_geom_voronoiCloseCells(extent) {
var x0 = extent[0][0], x1 = extent[1][0], y0 = extent[0][1], y1 = extent[1][1], x2, y2, x3, y3, cells = d3_geom_voronoiCells, iCell = cells.length, cell, iHalfEdge, halfEdges, nHalfEdges, start, end;
while (iCell--) {
cell = cells[iCell];
if (!cell || !cell.prepare()) continue;
halfEdges = cell.edges;
nHalfEdges = halfEdges.length;
iHalfEdge = 0;
while (iHalfEdge < nHalfEdges) {
end = halfEdges[iHalfEdge].end(), x3 = end.x, y3 = end.y;
start = halfEdges[++iHalfEdge % nHalfEdges].start(), x2 = start.x, y2 = start.y;
if (abs(x3 - x2) > ε || abs(y3 - y2) > ε) {
halfEdges.splice(iHalfEdge, 0, new d3_geom_voronoiHalfEdge(d3_geom_voronoiCreateBorderEdge(cell.site, end, abs(x3 - x0) < ε && y1 - y3 > ε ? {
x: x0,
y: abs(x2 - x0) < ε ? y2 : y1
} : abs(y3 - y1) < ε && x1 - x3 > ε ? {
x: abs(y2 - y1) < ε ? x2 : x1,
y: y1
} : abs(x3 - x1) < ε && y3 - y0 > ε ? {
x: x1,
y: abs(x2 - x1) < ε ? y2 : y0
} : abs(y3 - y0) < ε && x3 - x0 > ε ? {
x: abs(y2 - y0) < ε ? x2 : x0,
y: y0
} : null), cell.site, null));
++nHalfEdges;
}
}
}
}
function d3_geom_voronoiHalfEdgeOrder(a, b) {
return b.angle - a.angle;
}
function d3_geom_voronoiCircle() {
d3_geom_voronoiRedBlackNode(this);
this.x = this.y = this.arc = this.site = this.cy = null;
}
function d3_geom_voronoiAttachCircle(arc) {
var lArc = arc.P, rArc = arc.N;
if (!lArc || !rArc) return;
var lSite = lArc.site, cSite = arc.site, rSite = rArc.site;
if (lSite === rSite) return;
var bx = cSite.x, by = cSite.y, ax = lSite.x - bx, ay = lSite.y - by, cx = rSite.x - bx, cy = rSite.y - by;
var d = 2 * (ax * cy - ay * cx);
if (d >= -ε2) return;
var ha = ax * ax + ay * ay, hc = cx * cx + cy * cy, x = (cy * ha - ay * hc) / d, y = (ax * hc - cx * ha) / d, cy = y + by;
var circle = d3_geom_voronoiCirclePool.pop() || new d3_geom_voronoiCircle();
circle.arc = arc;
circle.site = cSite;
circle.x = x + bx;
circle.y = cy + Math.sqrt(x * x + y * y);
circle.cy = cy;
arc.circle = circle;
var before = null, node = d3_geom_voronoiCircles._;
while (node) {
if (circle.y < node.y || circle.y === node.y && circle.x <= node.x) {
if (node.L) node = node.L; else {
before = node.P;
break;
}
} else {
if (node.R) node = node.R; else {
before = node;
break;
}
}
}
d3_geom_voronoiCircles.insert(before, circle);
if (!before) d3_geom_voronoiFirstCircle = circle;
}
function d3_geom_voronoiDetachCircle(arc) {
var circle = arc.circle;
if (circle) {
if (!circle.P) d3_geom_voronoiFirstCircle = circle.N;
d3_geom_voronoiCircles.remove(circle);
d3_geom_voronoiCirclePool.push(circle);
d3_geom_voronoiRedBlackNode(circle);
arc.circle = null;
}
}
function d3_geom_voronoiClipEdges(extent) {
var edges = d3_geom_voronoiEdges, clip = d3_geom_clipLine(extent[0][0], extent[0][1], extent[1][0], extent[1][1]), i = edges.length, e;
while (i--) {
e = edges[i];
if (!d3_geom_voronoiConnectEdge(e, extent) || !clip(e) || abs(e.a.x - e.b.x) < ε && abs(e.a.y - e.b.y) < ε) {
e.a = e.b = null;
edges.splice(i, 1);
}
}
}
function d3_geom_voronoiConnectEdge(edge, extent) {
var vb = edge.b;
if (vb) return true;
var va = edge.a, x0 = extent[0][0], x1 = extent[1][0], y0 = extent[0][1], y1 = extent[1][1], lSite = edge.l, rSite = edge.r, lx = lSite.x, ly = lSite.y, rx = rSite.x, ry = rSite.y, fx = (lx + rx) / 2, fy = (ly + ry) / 2, fm, fb;
if (ry === ly) {
if (fx < x0 || fx >= x1) return;
if (lx > rx) {
if (!va) va = {
x: fx,
y: y0
}; else if (va.y >= y1) return;
vb = {
x: fx,
y: y1
};
} else {
if (!va) va = {
x: fx,
y: y1
}; else if (va.y < y0) return;
vb = {
x: fx,
y: y0
};
}
} else {
fm = (lx - rx) / (ry - ly);
fb = fy - fm * fx;
if (fm < -1 || fm > 1) {
if (lx > rx) {
if (!va) va = {
x: (y0 - fb) / fm,
y: y0
}; else if (va.y >= y1) return;
vb = {
x: (y1 - fb) / fm,
y: y1
};
} else {
if (!va) va = {
x: (y1 - fb) / fm,
y: y1
}; else if (va.y < y0) return;
vb = {
x: (y0 - fb) / fm,
y: y0
};
}
} else {
if (ly < ry) {
if (!va) va = {
x: x0,
y: fm * x0 + fb
}; else if (va.x >= x1) return;
vb = {
x: x1,
y: fm * x1 + fb
};
} else {
if (!va) va = {
x: x1,
y: fm * x1 + fb
}; else if (va.x < x0) return;
vb = {
x: x0,
y: fm * x0 + fb
};
}
}
}
edge.a = va;
edge.b = vb;
return true;
}
function d3_geom_voronoiEdge(lSite, rSite) {
this.l = lSite;
this.r = rSite;
this.a = this.b = null;
}
function d3_geom_voronoiCreateEdge(lSite, rSite, va, vb) {
var edge = new d3_geom_voronoiEdge(lSite, rSite);
d3_geom_voronoiEdges.push(edge);
if (va) d3_geom_voronoiSetEdgeEnd(edge, lSite, rSite, va);
if (vb) d3_geom_voronoiSetEdgeEnd(edge, rSite, lSite, vb);
d3_geom_voronoiCells[lSite.i].edges.push(new d3_geom_voronoiHalfEdge(edge, lSite, rSite));
d3_geom_voronoiCells[rSite.i].edges.push(new d3_geom_voronoiHalfEdge(edge, rSite, lSite));
return edge;
}
function d3_geom_voronoiCreateBorderEdge(lSite, va, vb) {
var edge = new d3_geom_voronoiEdge(lSite, null);
edge.a = va;
edge.b = vb;
d3_geom_voronoiEdges.push(edge);
return edge;
}
function d3_geom_voronoiSetEdgeEnd(edge, lSite, rSite, vertex) {
if (!edge.a && !edge.b) {
edge.a = vertex;
edge.l = lSite;
edge.r = rSite;
} else if (edge.l === rSite) {
edge.b = vertex;
} else {
edge.a = vertex;
}
}
function d3_geom_voronoiHalfEdge(edge, lSite, rSite) {
var va = edge.a, vb = edge.b;
this.edge = edge;
this.site = lSite;
this.angle = rSite ? Math.atan2(rSite.y - lSite.y, rSite.x - lSite.x) : edge.l === lSite ? Math.atan2(vb.x - va.x, va.y - vb.y) : Math.atan2(va.x - vb.x, vb.y - va.y);
}
d3_geom_voronoiHalfEdge.prototype = {
start: function() {
return this.edge.l === this.site ? this.edge.a : this.edge.b;
},
end: function() {
return this.edge.l === this.site ? this.edge.b : this.edge.a;
}
};
function d3_geom_voronoiRedBlackTree() {
this._ = null;
}
function d3_geom_voronoiRedBlackNode(node) {
node.U = node.C = node.L = node.R = node.P = node.N = null;
}
d3_geom_voronoiRedBlackTree.prototype = {
insert: function(after, node) {
var parent, grandpa, uncle;
if (after) {
node.P = after;
node.N = after.N;
if (after.N) after.N.P = node;
after.N = node;
if (after.R) {
after = after.R;
while (after.L) after = after.L;
after.L = node;
} else {
after.R = node;
}
parent = after;
} else if (this._) {
after = d3_geom_voronoiRedBlackFirst(this._);
node.P = null;
node.N = after;
after.P = after.L = node;
parent = after;
} else {
node.P = node.N = null;
this._ = node;
parent = null;
}
node.L = node.R = null;
node.U = parent;
node.C = true;
after = node;
while (parent && parent.C) {
grandpa = parent.U;
if (parent === grandpa.L) {
uncle = grandpa.R;
if (uncle && uncle.C) {
parent.C = uncle.C = false;
grandpa.C = true;
after = grandpa;
} else {
if (after === parent.R) {
d3_geom_voronoiRedBlackRotateLeft(this, parent);
after = parent;
parent = after.U;
}
parent.C = false;
grandpa.C = true;
d3_geom_voronoiRedBlackRotateRight(this, grandpa);
}
} else {
uncle = grandpa.L;
if (uncle && uncle.C) {
parent.C = uncle.C = false;
grandpa.C = true;
after = grandpa;
} else {
if (after === parent.L) {
d3_geom_voronoiRedBlackRotateRight(this, parent);
after = parent;
parent = after.U;
}
parent.C = false;
grandpa.C = true;
d3_geom_voronoiRedBlackRotateLeft(this, grandpa);
}
}
parent = after.U;
}
this._.C = false;
},
remove: function(node) {
if (node.N) node.N.P = node.P;
if (node.P) node.P.N = node.N;
node.N = node.P = null;
var parent = node.U, sibling, left = node.L, right = node.R, next, red;
if (!left) next = right; else if (!right) next = left; else next = d3_geom_voronoiRedBlackFirst(right);
if (parent) {
if (parent.L === node) parent.L = next; else parent.R = next;
} else {
this._ = next;
}
if (left && right) {
red = next.C;
next.C = node.C;
next.L = left;
left.U = next;
if (next !== right) {
parent = next.U;
next.U = node.U;
node = next.R;
parent.L = node;
next.R = right;
right.U = next;
} else {
next.U = parent;
parent = next;
node = next.R;
}
} else {
red = node.C;
node = next;
}
if (node) node.U = parent;
if (red) return;
if (node && node.C) {
node.C = false;
return;
}
do {
if (node === this._) break;
if (node === parent.L) {
sibling = parent.R;
if (sibling.C) {
sibling.C = false;
parent.C = true;
d3_geom_voronoiRedBlackRotateLeft(this, parent);
sibling = parent.R;
}
if (sibling.L && sibling.L.C || sibling.R && sibling.R.C) {
if (!sibling.R || !sibling.R.C) {
sibling.L.C = false;
sibling.C = true;
d3_geom_voronoiRedBlackRotateRight(this, sibling);
sibling = parent.R;
}
sibling.C = parent.C;
parent.C = sibling.R.C = false;
d3_geom_voronoiRedBlackRotateLeft(this, parent);
node = this._;
break;
}
} else {
sibling = parent.L;
if (sibling.C) {
sibling.C = false;
parent.C = true;
d3_geom_voronoiRedBlackRotateRight(this, parent);
sibling = parent.L;
}
if (sibling.L && sibling.L.C || sibling.R && sibling.R.C) {
if (!sibling.L || !sibling.L.C) {
sibling.R.C = false;
sibling.C = true;
d3_geom_voronoiRedBlackRotateLeft(this, sibling);
sibling = parent.L;
}
sibling.C = parent.C;
parent.C = sibling.L.C = false;
d3_geom_voronoiRedBlackRotateRight(this, parent);
node = this._;
break;
}
}
sibling.C = true;
node = parent;
parent = parent.U;
} while (!node.C);
if (node) node.C = false;
}
};
function d3_geom_voronoiRedBlackRotateLeft(tree, node) {
var p = node, q = node.R, parent = p.U;
if (parent) {
if (parent.L === p) parent.L = q; else parent.R = q;
} else {
tree._ = q;
}
q.U = parent;
p.U = q;
p.R = q.L;
if (p.R) p.R.U = p;
q.L = p;
}
function d3_geom_voronoiRedBlackRotateRight(tree, node) {
var p = node, q = node.L, parent = p.U;
if (parent) {
if (parent.L === p) parent.L = q; else parent.R = q;
} else {
tree._ = q;
}
q.U = parent;
p.U = q;
p.L = q.R;
if (p.L) p.L.U = p;
q.R = p;
}
function d3_geom_voronoiRedBlackFirst(node) {
while (node.L) node = node.L;
return node;
}
function d3_geom_voronoi(sites, bbox) {
var site = sites.sort(d3_geom_voronoiVertexOrder).pop(), x0, y0, circle;
d3_geom_voronoiEdges = [];
d3_geom_voronoiCells = new Array(sites.length);
d3_geom_voronoiBeaches = new d3_geom_voronoiRedBlackTree();
d3_geom_voronoiCircles = new d3_geom_voronoiRedBlackTree();
while (true) {
circle = d3_geom_voronoiFirstCircle;
if (site && (!circle || site.y < circle.y || site.y === circle.y && site.x < circle.x)) {
if (site.x !== x0 || site.y !== y0) {
d3_geom_voronoiCells[site.i] = new d3_geom_voronoiCell(site);
d3_geom_voronoiAddBeach(site);
x0 = site.x, y0 = site.y;
}
site = sites.pop();
} else if (circle) {
d3_geom_voronoiRemoveBeach(circle.arc);
} else {
break;
}
}
if (bbox) d3_geom_voronoiClipEdges(bbox), d3_geom_voronoiCloseCells(bbox);
var diagram = {
cells: d3_geom_voronoiCells,
edges: d3_geom_voronoiEdges
};
d3_geom_voronoiBeaches = d3_geom_voronoiCircles = d3_geom_voronoiEdges = d3_geom_voronoiCells = null;
return diagram;
}
function d3_geom_voronoiVertexOrder(a, b) {
return b.y - a.y || b.x - a.x;
}
d3.geom.voronoi = function(points) {
var x = d3_geom_pointX, y = d3_geom_pointY, fx = x, fy = y, clipExtent = d3_geom_voronoiClipExtent;
if (points) return voronoi(points);
function voronoi(data) {
var polygons = new Array(data.length), x0 = clipExtent[0][0], y0 = clipExtent[0][1], x1 = clipExtent[1][0], y1 = clipExtent[1][1];
d3_geom_voronoi(sites(data), clipExtent).cells.forEach(function(cell, i) {
var edges = cell.edges, site = cell.site, polygon = polygons[i] = edges.length ? edges.map(function(e) {
var s = e.start();
return [ s.x, s.y ];
}) : site.x >= x0 && site.x <= x1 && site.y >= y0 && site.y <= y1 ? [ [ x0, y1 ], [ x1, y1 ], [ x1, y0 ], [ x0, y0 ] ] : [];
polygon.point = data[i];
});
return polygons;
}
function sites(data) {
return data.map(function(d, i) {
return {
x: Math.round(fx(d, i) / ε) * ε,
y: Math.round(fy(d, i) / ε) * ε,
i: i
};
});
}
voronoi.links = function(data) {
return d3_geom_voronoi(sites(data)).edges.filter(function(edge) {
return edge.l && edge.r;
}).map(function(edge) {
return {
source: data[edge.l.i],
target: data[edge.r.i]
};
});
};
voronoi.triangles = function(data) {
var triangles = [];
d3_geom_voronoi(sites(data)).cells.forEach(function(cell, i) {
var site = cell.site, edges = cell.edges.sort(d3_geom_voronoiHalfEdgeOrder), j = -1, m = edges.length, e0, s0, e1 = edges[m - 1].edge, s1 = e1.l === site ? e1.r : e1.l;
while (++j < m) {
e0 = e1;
s0 = s1;
e1 = edges[j].edge;
s1 = e1.l === site ? e1.r : e1.l;
if (i < s0.i && i < s1.i && d3_geom_voronoiTriangleArea(site, s0, s1) < 0) {
triangles.push([ data[i], data[s0.i], data[s1.i] ]);
}
}
});
return triangles;
};
voronoi.x = function(_) {
return arguments.length ? (fx = d3_functor(x = _), voronoi) : x;
};
voronoi.y = function(_) {
return arguments.length ? (fy = d3_functor(y = _), voronoi) : y;
};
voronoi.clipExtent = function(_) {
if (!arguments.length) return clipExtent === d3_geom_voronoiClipExtent ? null : clipExtent;
clipExtent = _ == null ? d3_geom_voronoiClipExtent : _;
return voronoi;
};
voronoi.size = function(_) {
if (!arguments.length) return clipExtent === d3_geom_voronoiClipExtent ? null : clipExtent && clipExtent[1];
return voronoi.clipExtent(_ && [ [ 0, 0 ], _ ]);
};
return voronoi;
};
var d3_geom_voronoiClipExtent = [ [ -1e6, -1e6 ], [ 1e6, 1e6 ] ];
function d3_geom_voronoiTriangleArea(a, b, c) {
return (a.x - c.x) * (b.y - a.y) - (a.x - b.x) * (c.y - a.y);
}
d3.geom.delaunay = function(vertices) {
return d3.geom.voronoi().triangles(vertices);
};
d3.geom.quadtree = function(points, x1, y1, x2, y2) {
var x = d3_geom_pointX, y = d3_geom_pointY, compat;
if (compat = arguments.length) {
x = d3_geom_quadtreeCompatX;
y = d3_geom_quadtreeCompatY;
if (compat === 3) {
y2 = y1;
x2 = x1;
y1 = x1 = 0;
}
return quadtree(points);
}
function quadtree(data) {
var d, fx = d3_functor(x), fy = d3_functor(y), xs, ys, i, n, x1_, y1_, x2_, y2_;
if (x1 != null) {
x1_ = x1, y1_ = y1, x2_ = x2, y2_ = y2;
} else {
x2_ = y2_ = -(x1_ = y1_ = Infinity);
xs = [], ys = [];
n = data.length;
if (compat) for (i = 0; i < n; ++i) {
d = data[i];
if (d.x < x1_) x1_ = d.x;
if (d.y < y1_) y1_ = d.y;
if (d.x > x2_) x2_ = d.x;
if (d.y > y2_) y2_ = d.y;
xs.push(d.x);
ys.push(d.y);
} else for (i = 0; i < n; ++i) {
var x_ = +fx(d = data[i], i), y_ = +fy(d, i);
if (x_ < x1_) x1_ = x_;
if (y_ < y1_) y1_ = y_;
if (x_ > x2_) x2_ = x_;
if (y_ > y2_) y2_ = y_;
xs.push(x_);
ys.push(y_);
}
}
var dx = x2_ - x1_, dy = y2_ - y1_;
if (dx > dy) y2_ = y1_ + dx; else x2_ = x1_ + dy;
function insert(n, d, x, y, x1, y1, x2, y2) {
if (isNaN(x) || isNaN(y)) return;
if (n.leaf) {
var nx = n.x, ny = n.y;
if (nx != null) {
if (abs(nx - x) + abs(ny - y) < .01) {
insertChild(n, d, x, y, x1, y1, x2, y2);
} else {
var nPoint = n.point;
n.x = n.y = n.point = null;
insertChild(n, nPoint, nx, ny, x1, y1, x2, y2);
insertChild(n, d, x, y, x1, y1, x2, y2);
}
} else {
n.x = x, n.y = y, n.point = d;
}
} else {
insertChild(n, d, x, y, x1, y1, x2, y2);
}
}
function insertChild(n, d, x, y, x1, y1, x2, y2) {
var sx = (x1 + x2) * .5, sy = (y1 + y2) * .5, right = x >= sx, bottom = y >= sy, i = (bottom << 1) + right;
n.leaf = false;
n = n.nodes[i] || (n.nodes[i] = d3_geom_quadtreeNode());
if (right) x1 = sx; else x2 = sx;
if (bottom) y1 = sy; else y2 = sy;
insert(n, d, x, y, x1, y1, x2, y2);
}
var root = d3_geom_quadtreeNode();
root.add = function(d) {
insert(root, d, +fx(d, ++i), +fy(d, i), x1_, y1_, x2_, y2_);
};
root.visit = function(f) {
d3_geom_quadtreeVisit(f, root, x1_, y1_, x2_, y2_);
};
i = -1;
if (x1 == null) {
while (++i < n) {
insert(root, data[i], xs[i], ys[i], x1_, y1_, x2_, y2_);
}
--i;
} else data.forEach(root.add);
xs = ys = data = d = null;
return root;
}
quadtree.x = function(_) {
return arguments.length ? (x = _, quadtree) : x;
};
quadtree.y = function(_) {
return arguments.length ? (y = _, quadtree) : y;
};
quadtree.extent = function(_) {
if (!arguments.length) return x1 == null ? null : [ [ x1, y1 ], [ x2, y2 ] ];
if (_ == null) x1 = y1 = x2 = y2 = null; else x1 = +_[0][0], y1 = +_[0][1], x2 = +_[1][0],
y2 = +_[1][1];
return quadtree;
};
quadtree.size = function(_) {
if (!arguments.length) return x1 == null ? null : [ x2 - x1, y2 - y1 ];
if (_ == null) x1 = y1 = x2 = y2 = null; else x1 = y1 = 0, x2 = +_[0], y2 = +_[1];
return quadtree;
};
return quadtree;
};
function d3_geom_quadtreeCompatX(d) {
return d.x;
}
function d3_geom_quadtreeCompatY(d) {
return d.y;
}
function d3_geom_quadtreeNode() {
return {
leaf: true,
nodes: [],
point: null,
x: null,
y: null
};
}
function d3_geom_quadtreeVisit(f, node, x1, y1, x2, y2) {
if (!f(node, x1, y1, x2, y2)) {
var sx = (x1 + x2) * .5, sy = (y1 + y2) * .5, children = node.nodes;
if (children[0]) d3_geom_quadtreeVisit(f, children[0], x1, y1, sx, sy);
if (children[1]) d3_geom_quadtreeVisit(f, children[1], sx, y1, x2, sy);
if (children[2]) d3_geom_quadtreeVisit(f, children[2], x1, sy, sx, y2);
if (children[3]) d3_geom_quadtreeVisit(f, children[3], sx, sy, x2, y2);
}
}
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.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, am, bm, bs, i = -1, s = [], q = [];
a = a + "", b = b + "";
while ((am = d3_interpolate_numberA.exec(a)) && (bm = d3_interpolate_numberB.exec(b))) {
if ((bs = bm.index) > bi) {
bs = b.slice(bi, bs);
if (s[i]) s[i] += bs; else s[++i] = bs;
}
if ((am = am[0]) === (bm = bm[0])) {
if (s[i]) s[i] += bm; else s[++i] = bm;
} else {
s[++i] = null;
q.push({
i: i,
x: d3_interpolateNumber(am, bm)
});
}
bi = d3_interpolate_numberB.lastIndex;
}
if (bi < b.length) {
bs = b.slice(bi);
if (s[i]) s[i] += bs; else s[++i] = bs;
}
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.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;
};
}
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;
}
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 = .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.interpolateHcl = d3_interpolateHcl;
function d3_interpolateHcl(a, b) {
a = d3.hcl(a);
b = d3.hcl(b);
var ah = a.h, ac = a.c, al = a.l, bh = b.h - ah, bc = b.c - ac, bl = b.l - al;
if (isNaN(bc)) bc = 0, ac = isNaN(ac) ? b.c : ac;
if (isNaN(bh)) bh = 0, ah = isNaN(ah) ? b.h : ah; else if (bh > 180) bh -= 360; else if (bh < -180) bh += 360;
return function(t) {
return d3_hcl_lab(ah + bh * t, ac + bc * t, al + bl * t) + "";
};
}
d3.interpolateHsl = d3_interpolateHsl;
function d3_interpolateHsl(a, b) {
a = d3.hsl(a);
b = d3.hsl(b);
var ah = a.h, as = a.s, al = a.l, bh = b.h - ah, bs = b.s - as, bl = b.l - al;
if (isNaN(bs)) bs = 0, as = isNaN(as) ? b.s : as;
if (isNaN(bh)) bh = 0, ah = isNaN(ah) ? b.h : ah; else if (bh > 180) bh -= 360; else if (bh < -180) bh += 360;
return function(t) {
return d3_hsl_rgb(ah + bh * t, as + bs * t, al + bl * t) + "";
};
}
d3.interpolateLab = d3_interpolateLab;
function d3_interpolateLab(a, b) {
a = d3.lab(a);
b = d3.lab(b);
var al = a.l, aa = a.a, ab = a.b, bl = b.l - al, ba = b.a - aa, bb = b.b - ab;
return function(t) {
return d3_lab_rgb(al + bl * t, aa + ba * t, ab + bb * t) + "";
};
}
d3.interpolateRound = d3_interpolateRound;
function d3_interpolateRound(a, b) {
b -= a;
return function(t) {
return Math.round(a + b * t);
};
}
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);
};
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 = [], q = [], 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;
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("");
};
}
function d3_uninterpolateNumber(a, b) {
b = (b -= a = +a) || 1 / b;
return function(x) {
return (x - a) / b;
};
}
function d3_uninterpolateClamp(a, b) {
b = (b -= a = +a) || 1 / b;
return function(x) {
return Math.max(0, Math.min(1, (x - a) / b));
};
}
d3.layout = {};
d3.layout.bundle = function() {
return function(links) {
var paths = [], i = -1, n = links.length;
while (++i < n) paths.push(d3_layout_bundlePath(links[i]));
return paths;
};
};
function d3_layout_bundlePath(link) {
var start = link.source, end = link.target, lca = d3_layout_bundleLeastCommonAncestor(start, end), points = [ start ];
while (start !== lca) {
start = start.parent;
points.push(start);
}
var k = points.length;
while (end !== lca) {
points.splice(k, 0, end);
end = end.parent;
}
return points;
}
function d3_layout_bundleAncestors(node) {
var ancestors = [], parent = node.parent;
while (parent != null) {
ancestors.push(node);
node = parent;
parent = parent.parent;
}
ancestors.push(node);
return ancestors;
}
function d3_layout_bundleLeastCommonAncestor(a, b) {
if (a === b) return a;
var aNodes = d3_layout_bundleAncestors(a), bNodes = d3_layout_bundleAncestors(b), aNode = aNodes.pop(), bNode = bNodes.pop(), sharedNode = null;
while (aNode === bNode) {
sharedNode = aNode;
aNode = aNodes.pop();
bNode = bNodes.pop();
}
return sharedNode;
}
d3.layout.chord = function() {
var chord = {}, chords, groups, matrix, n, padding = 0, sortGroups, sortSubgroups, sortChords;
function relayout() {
var subgroups = {}, groupSums = [], groupIndex = d3.range(n), subgroupIndex = [], k, x, x0, i, j;
chords = [];
groups = [];
k = 0, i = -1;
while (++i < n) {
x = 0, j = -1;
while (++j < n) {
x += matrix[i][j];
}
groupSums.push(x);
subgroupIndex.push(d3.range(n));
k += x;
}
if (sortGroups) {
groupIndex.sort(function(a, b) {
return sortGroups(groupSums[a], groupSums[b]);
});
}
if (sortSubgroups) {
subgroupIndex.forEach(function(d, i) {
d.sort(function(a, b) {
return sortSubgroups(matrix[i][a], matrix[i][b]);
});
});
}
k = (τ - padding * n) / k;
x = 0, i = -1;
while (++i < n) {
x0 = x, j = -1;
while (++j < n) {
var di = groupIndex[i], dj = subgroupIndex[di][j], v = matrix[di][dj], a0 = x, a1 = x += v * k;
subgroups[di + "-" + dj] = {
index: di,
subindex: dj,
startAngle: a0,
endAngle: a1,
value: v
};
}
groups[di] = {
index: di,
startAngle: x0,
endAngle: x,
value: (x - x0) / k
};
x += padding;
}
i = -1;
while (++i < n) {
j = i - 1;
while (++j < n) {
var source = subgroups[i + "-" + j], target = subgroups[j + "-" + i];
if (source.value || target.value) {
chords.push(source.value < target.value ? {
source: target,
target: source
} : {
source: source,
target: target
});
}
}
}
if (sortChords) resort();
}
function resort() {
chords.sort(function(a, b) {
return sortChords((a.source.value + a.target.value) / 2, (b.source.value + b.target.value) / 2);
});
}
chord.matrix = function(x) {
if (!arguments.length) return matrix;
n = (matrix = x) && matrix.length;
chords = groups = null;
return chord;
};
chord.padding = function(x) {
if (!arguments.length) return padding;
padding = x;
chords = groups = null;
return chord;
};
chord.sortGroups = function(x) {
if (!arguments.length) return sortGroups;
sortGroups = x;
chords = groups = null;
return chord;
};
chord.sortSubgroups = function(x) {
if (!arguments.length) return sortSubgroups;
sortSubgroups = x;
chords = null;
return chord;
};
chord.sortChords = function(x) {
if (!arguments.length) return sortChords;
sortChords = x;
if (chords) resort();
return chord;
};
chord.chords = function() {
if (!chords) relayout();
return chords;
};
chord.groups = function() {
if (!groups) relayout();
return groups;
};
return chord;
};
d3.layout.force = function() {
var force = {}, event = d3.dispatch("start", "tick", "end"), size = [ 1, 1 ], drag, alpha, friction = .9, linkDistance = d3_layout_forceLinkDistance, linkStrength = d3_layout_forceLinkStrength, charge = -30, chargeDistance2 = d3_layout_forceChargeDistance2, gravity = .1, theta2 = .64, nodes = [], links = [], distances, strengths, charges;
function repulse(node) {
return function(quad, x1, _, x2) {
if (quad.point !== node) {
var dx = quad.cx - node.x, dy = quad.cy - node.y, dw = x2 - x1, dn = dx * dx + dy * dy;
if (dw * dw / theta2 < dn) {
if (dn < chargeDistance2) {
var k = quad.charge / dn;
node.px -= dx * k;
node.py -= dy * k;
}
return true;
}
if (quad.point && dn && dn < chargeDistance2) {
var k = quad.pointCharge / dn;
node.px -= dx * k;
node.py -= dy * k;
}
}
return !quad.charge;
};
}
force.tick = function() {
if ((alpha *= .99) < .005) {
event.end({
type: "end",
alpha: alpha = 0
});
return true;
}
var n = nodes.length, m = links.length, q, i, o, s, t, l, k, x, y;
for (i = 0; i < m; ++i) {
o = links[i];
s = o.source;
t = o.target;
x = t.x - s.x;
y = t.y - s.y;
if (l = x * x + y * y) {
l = alpha * strengths[i] * ((l = Math.sqrt(l)) - distances[i]) / l;
x *= l;
y *= l;
t.x -= x * (k = s.weight / (t.weight + s.weight));
t.y -= y * k;
s.x += x * (k = 1 - k);
s.y += y * k;
}
}
if (k = alpha * gravity) {
x = size[0] / 2;
y = size[1] / 2;
i = -1;
if (k) while (++i < n) {
o = nodes[i];
o.x += (x - o.x) * k;
o.y += (y - o.y) * k;
}
}
if (charge) {
d3_layout_forceAccumulate(q = d3.geom.quadtree(nodes), alpha, charges);
i = -1;
while (++i < n) {
if (!(o = nodes[i]).fixed) {
q.visit(repulse(o));
}
}
}
i = -1;
while (++i < n) {
o = nodes[i];
if (o.fixed) {
o.x = o.px;
o.y = o.py;
} else {
o.x -= (o.px - (o.px = o.x)) * friction;
o.y -= (o.py - (o.py = o.y)) * friction;
}
}
event.tick({
type: "tick",
alpha: alpha
});
};
force.nodes = function(x) {
if (!arguments.length) return nodes;
nodes = x;
return force;
};
force.links = function(x) {
if (!arguments.length) return links;
links = x;
return force;
};
force.size = function(x) {
if (!arguments.length) return size;
size = x;
return force;
};
force.linkDistance = function(x) {
if (!arguments.length) return linkDistance;
linkDistance = typeof x === "function" ? x : +x;
return force;
};
force.distance = force.linkDistance;
force.linkStrength = function(x) {
if (!arguments.length) return linkStrength;
linkStrength = typeof x === "function" ? x : +x;
return force;
};
force.friction = function(x) {
if (!arguments.length) return friction;
friction = +x;
return force;
};
force.charge = function(x) {
if (!arguments.length) return charge;
charge = typeof x === "function" ? x : +x;
return force;
};
force.chargeDistance = function(x) {
if (!arguments.length) return Math.sqrt(chargeDistance2);
chargeDistance2 = x * x;
return force;
};
force.gravity = function(x) {
if (!arguments.length) return gravity;
gravity = +x;
return force;
};
force.theta = function(x) {
if (!arguments.length) return Math.sqrt(theta2);
theta2 = x * x;
return force;
};
force.alpha = function(x) {
if (!arguments.length) return alpha;
x = +x;
if (alpha) {
if (x > 0) alpha = x; else alpha = 0;
} else if (x > 0) {
event.start({
type: "start",
alpha: alpha = x
});
d3.timer(force.tick);
}
return force;
};
force.start = function() {
var i, n = nodes.length, m = links.length, w = size[0], h = size[1], neighbors, o;
for (i = 0; i < n; ++i) {
(o = nodes[i]).index = i;
o.weight = 0;
}
for (i = 0; i < m; ++i) {
o = links[i];
if (typeof o.source == "number") o.source = nodes[o.source];
if (typeof o.target == "number") o.target = nodes[o.target];
++o.source.weight;
++o.target.weight;
}
for (i = 0; i < n; ++i) {
o = nodes[i];
if (isNaN(o.x)) o.x = position("x", w);
if (isNaN(o.y)) o.y = position("y", h);
if (isNaN(o.px)) o.px = o.x;
if (isNaN(o.py)) o.py = o.y;
}
distances = [];
if (typeof linkDistance === "function") for (i = 0; i < m; ++i) distances[i] = +linkDistance.call(this, links[i], i); else for (i = 0; i < m; ++i) distances[i] = linkDistance;
strengths = [];
if (typeof linkStrength === "function") for (i = 0; i < m; ++i) strengths[i] = +linkStrength.call(this, links[i], i); else for (i = 0; i < m; ++i) strengths[i] = linkStrength;
charges = [];
if (typeof charge === "function") for (i = 0; i < n; ++i) charges[i] = +charge.call(this, nodes[i], i); else for (i = 0; i < n; ++i) charges[i] = charge;
function position(dimension, size) {
if (!neighbors) {
neighbors = new Array(n);
for (j = 0; j < n; ++j) {
neighbors[j] = [];
}
for (j = 0; j < m; ++j) {
var o = links[j];
neighbors[o.source.index].push(o.target);
neighbors[o.target.index].push(o.source);
}
}
var candidates = neighbors[i], j = -1, m = candidates.length, x;
while (++j < m) if (!isNaN(x = candidates[j][dimension])) return x;
return Math.random() * size;
}
return force.resume();
};
force.resume = function() {
return force.alpha(.1);
};
force.stop = function() {
return force.alpha(0);
};
force.drag = function() {
if (!drag) drag = d3.behavior.drag().origin(d3_identity).on("dragstart.force", d3_layout_forceDragstart).on("drag.force", dragmove).on("dragend.force", d3_layout_forceDragend);
if (!arguments.length) return drag;
this.on("mouseover.force", d3_layout_forceMouseover).on("mouseout.force", d3_layout_forceMouseout).call(drag);
};
function dragmove(d) {
d.px = d3.event.x, d.py = d3.event.y;
force.resume();
}
return d3.rebind(force, event, "on");
};
function d3_layout_forceDragstart(d) {
d.fixed |= 2;
}
function d3_layout_forceDragend(d) {
d.fixed &= ~6;
}
function d3_layout_forceMouseover(d) {
d.fixed |= 4;
d.px = d.x, d.py = d.y;
}
function d3_layout_forceMouseout(d) {
d.fixed &= ~4;
}
function d3_layout_forceAccumulate(quad, alpha, charges) {
var cx = 0, cy = 0;
quad.charge = 0;
if (!quad.leaf) {
var nodes = quad.nodes, n = nodes.length, i = -1, c;
while (++i < n) {
c = nodes[i];
if (c == null) continue;
d3_layout_forceAccumulate(c, alpha, charges);
quad.charge += c.charge;
cx += c.charge * c.cx;
cy += c.charge * c.cy;
}
}
if (quad.point) {
if (!quad.leaf) {
quad.point.x += Math.random() - .5;
quad.point.y += Math.random() - .5;
}
var k = alpha * charges[quad.point.index];
quad.charge += quad.pointCharge = k;
cx += k * quad.point.x;
cy += k * quad.point.y;
}
quad.cx = cx / quad.charge;
quad.cy = cy / quad.charge;
}
var d3_layout_forceLinkDistance = 20, d3_layout_forceLinkStrength = 1, d3_layout_forceChargeDistance2 = Infinity;
d3.layout.hierarchy = function() {
var sort = d3_layout_hierarchySort, children = d3_layout_hierarchyChildren, value = d3_layout_hierarchyValue;
function hierarchy(root) {
var stack = [ root ], nodes = [], node;
root.depth = 0;
while ((node = stack.pop()) != null) {
nodes.push(node);
if ((childs = children.call(hierarchy, node, node.depth)) && (n = childs.length)) {
var n, childs, child;
while (--n >= 0) {
stack.push(child = childs[n]);
child.parent = node;
child.depth = node.depth + 1;
}
if (value) node.value = 0;
node.children = childs;
} else {
if (value) node.value = +value.call(hierarchy, node, node.depth) || 0;
delete node.children;
}
}
d3_layout_hierarchyVisitAfter(root, function(node) {
var childs, parent;
if (sort && (childs = node.children)) childs.sort(sort);
if (value && (parent = node.parent)) parent.value += node.value;
});
return nodes;
}
hierarchy.sort = function(x) {
if (!arguments.length) return sort;
sort = x;
return hierarchy;
};
hierarchy.children = function(x) {
if (!arguments.length) return children;
children = x;
return hierarchy;
};
hierarchy.value = function(x) {
if (!arguments.length) return value;
value = x;
return hierarchy;
};
hierarchy.revalue = function(root) {
if (value) {
d3_layout_hierarchyVisitBefore(root, function(node) {
if (node.children) node.value = 0;
});
d3_layout_hierarchyVisitAfter(root, function(node) {
var parent;
if (!node.children) node.value = +value.call(hierarchy, node, node.depth) || 0;
if (parent = node.parent) parent.value += node.value;
});
}
return root;
};
return hierarchy;
};
function d3_layout_hierarchyRebind(object, hierarchy) {
d3.rebind(object, hierarchy, "sort", "children", "value");
object.nodes = object;
object.links = d3_layout_hierarchyLinks;
return object;
}
function d3_layout_hierarchyVisitBefore(node, callback) {
var nodes = [ node ];
while ((node = nodes.pop()) != null) {
callback(node);
if ((children = node.children) && (n = children.length)) {
var n, children;
while (--n >= 0) nodes.push(children[n]);
}
}
}
function d3_layout_hierarchyVisitAfter(node, callback) {
var nodes = [ node ], nodes2 = [];
while ((node = nodes.pop()) != null) {
nodes2.push(node);
if ((children = node.children) && (n = children.length)) {
var i = -1, n, children;
while (++i < n) nodes.push(children[i]);
}
}
while ((node = nodes2.pop()) != null) {
callback(node);
}
}
function d3_layout_hierarchyChildren(d) {
return d.children;
}
function d3_layout_hierarchyValue(d) {
return d.value;
}
function d3_layout_hierarchySort(a, b) {
return b.value - a.value;
}
function d3_layout_hierarchyLinks(nodes) {
return d3.merge(nodes.map(function(parent) {
return (parent.children || []).map(function(child) {
return {
source: parent,
target: child
};
});
}));
}
d3.layout.partition = function() {
var hierarchy = d3.layout.hierarchy(), size = [ 1, 1 ];
function position(node, x, dx, dy) {
var children = node.children;
node.x = x;
node.y = node.depth * dy;
node.dx = dx;
node.dy = dy;
if (children && (n = children.length)) {
var i = -1, n, c, d;
dx = node.value ? dx / node.value : 0;
while (++i < n) {
position(c = children[i], x, d = c.value * dx, dy);
x += d;
}
}
}
function depth(node) {
var children = node.children, d = 0;
if (children && (n = children.length)) {
var i = -1, n;
while (++i < n) d = Math.max(d, depth(children[i]));
}
return 1 + d;
}
function partition(d, i) {
var nodes = hierarchy.call(this, d, i);
position(nodes[0], 0, size[0], size[1] / depth(nodes[0]));
return nodes;
}
partition.size = function(x) {
if (!arguments.length) return size;
size = x;
return partition;
};
return d3_layout_hierarchyRebind(partition, hierarchy);
};
d3.layout.pie = function() {
var value = Number, sort = d3_layout_pieSortByValue, startAngle = 0, endAngle = τ;
function pie(data) {
var values = data.map(function(d, i) {
return +value.call(pie, d, i);
});
var a = +(typeof startAngle === "function" ? startAngle.apply(this, arguments) : startAngle);
var k = ((typeof endAngle === "function" ? endAngle.apply(this, arguments) : endAngle) - a) / d3.sum(values);
var index = d3.range(data.length);
if (sort != null) index.sort(sort === d3_layout_pieSortByValue ? function(i, j) {
return values[j] - values[i];
} : function(i, j) {
return sort(data[i], data[j]);
});
var arcs = [];
index.forEach(function(i) {
var d;
arcs[i] = {
data: data[i],
value: d = values[i],
startAngle: a,
endAngle: a += d * k
};
});
return arcs;
}
pie.value = function(x) {
if (!arguments.length) return value;
value = x;
return pie;
};
pie.sort = function(x) {
if (!arguments.length) return sort;
sort = x;
return pie;
};
pie.startAngle = function(x) {
if (!arguments.length) return startAngle;
startAngle = x;
return pie;
};
pie.endAngle = function(x) {
if (!arguments.length) return endAngle;
endAngle = x;
return pie;
};
return pie;
};
var d3_layout_pieSortByValue = {};
d3.layout.stack = function() {
var values = d3_identity, order = d3_layout_stackOrderDefault, offset = d3_layout_stackOffsetZero, out = d3_layout_stackOut, x = d3_layout_stackX, y = d3_layout_stackY;
function stack(data, index) {
if (!(n = data.length)) return data;
var series = data.map(function(d, i) {
return values.call(stack, d, i);
});
var points = series.map(function(d) {
return d.map(function(v, i) {
return [ x.call(stack, v, i), y.call(stack, v, i) ];
});
});
var orders = order.call(stack, points, index);
series = d3.permute(series, orders);
points = d3.permute(points, orders);
var offsets = offset.call(stack, points, index);
var m = series[0].length, n, i, j, o;
for (j = 0; j < m; ++j) {
out.call(stack, series[0][j], o = offsets[j], points[0][j][1]);
for (i = 1; i < n; ++i) {
out.call(stack, series[i][j], o += points[i - 1][j][1], points[i][j][1]);
}
}
return data;
}
stack.values = function(x) {
if (!arguments.length) return values;
values = x;
return stack;
};
stack.order = function(x) {
if (!arguments.length) return order;
order = typeof x === "function" ? x : d3_layout_stackOrders.get(x) || d3_layout_stackOrderDefault;
return stack;
};
stack.offset = function(x) {
if (!arguments.length) return offset;
offset = typeof x === "function" ? x : d3_layout_stackOffsets.get(x) || d3_layout_stackOffsetZero;
return stack;
};
stack.x = function(z) {
if (!arguments.length) return x;
x = z;
return stack;
};
stack.y = function(z) {
if (!arguments.length) return y;
y = z;
return stack;
};
stack.out = function(z) {
if (!arguments.length) return out;
out = z;
return stack;
};
return stack;
};
function d3_layout_stackX(d) {
return d.x;
}
function d3_layout_stackY(d) {
return d.y;
}
function d3_layout_stackOut(d, y0, y) {
d.y0 = y0;
d.y = y;
}
var d3_layout_stackOrders = d3.map({
"inside-out": function(data) {
var n = data.length, i, j, max = data.map(d3_layout_stackMaxIndex), sums = data.map(d3_layout_stackReduceSum), index = d3.range(n).sort(function(a, b) {
return max[a] - max[b];
}), top = 0, bottom = 0, tops = [], bottoms = [];
for (i = 0; i < n; ++i) {
j = index[i];
if (top < bottom) {
top += sums[j];
tops.push(j);
} else {
bottom += sums[j];
bottoms.push(j);
}
}
return bottoms.reverse().concat(tops);
},
reverse: function(data) {
return d3.range(data.length).reverse();
},
"default": d3_layout_stackOrderDefault
});
var d3_layout_stackOffsets = d3.map({
silhouette: function(data) {
var n = data.length, m = data[0].length, sums = [], max = 0, i, j, o, y0 = [];
for (j = 0; j < m; ++j) {
for (i = 0, o = 0; i < n; i++) o += data[i][j][1];
if (o > max) max = o;
sums.push(o);
}
for (j = 0; j < m; ++j) {
y0[j] = (max - sums[j]) / 2;
}
return y0;
},
wiggle: function(data) {
var n = data.length, x = data[0], m = x.length, i, j, k, s1, s2, s3, dx, o, o0, y0 = [];
y0[0] = o = o0 = 0;
for (j = 1; j < m; ++j) {
for (i = 0, s1 = 0; i < n; ++i) s1 += data[i][j][1];
for (i = 0, s2 = 0, dx = x[j][0] - x[j - 1][0]; i < n; ++i) {
for (k = 0, s3 = (data[i][j][1] - data[i][j - 1][1]) / (2 * dx); k < i; ++k) {
s3 += (data[k][j][1] - data[k][j - 1][1]) / dx;
}
s2 += s3 * data[i][j][1];
}
y0[j] = o -= s1 ? s2 / s1 * dx : 0;
if (o < o0) o0 = o;
}
for (j = 0; j < m; ++j) y0[j] -= o0;
return y0;
},
expand: function(data) {
var n = data.length, m = data[0].length, k = 1 / n, i, j, o, y0 = [];
for (j = 0; j < m; ++j) {
for (i = 0, o = 0; i < n; i++) o += data[i][j][1];
if (o) for (i = 0; i < n; i++) data[i][j][1] /= o; else for (i = 0; i < n; i++) data[i][j][1] = k;
}
for (j = 0; j < m; ++j) y0[j] = 0;
return y0;
},
zero: d3_layout_stackOffsetZero
});
function d3_layout_stackOrderDefault(data) {
return d3.range(data.length);
}
function d3_layout_stackOffsetZero(data) {
var j = -1, m = data[0].length, y0 = [];
while (++j < m) y0[j] = 0;
return y0;
}
function d3_layout_stackMaxIndex(array) {
var i = 1, j = 0, v = array[0][1], k, n = array.length;
for (;i < n; ++i) {
if ((k = array[i][1]) > v) {
j = i;
v = k;
}
}
return j;
}
function d3_layout_stackReduceSum(d) {
return d.reduce(d3_layout_stackSum, 0);
}
function d3_layout_stackSum(p, d) {
return p + d[1];
}
d3.layout.histogram = function() {
var frequency = true, valuer = Number, ranger = d3_layout_histogramRange, binner = d3_layout_histogramBinSturges;
function histogram(data, i) {
var bins = [], values = data.map(valuer, this), range = ranger.call(this, values, i), thresholds = binner.call(this, range, values, i), bin, i = -1, n = values.length, m = thresholds.length - 1, k = frequency ? 1 : 1 / n, x;
while (++i < m) {
bin = bins[i] = [];
bin.dx = thresholds[i + 1] - (bin.x = thresholds[i]);
bin.y = 0;
}
if (m > 0) {
i = -1;
while (++i < n) {
x = values[i];
if (x >= range[0] && x <= range[1]) {
bin = bins[d3.bisect(thresholds, x, 1, m) - 1];
bin.y += k;
bin.push(data[i]);
}
}
}
return bins;
}
histogram.value = function(x) {
if (!arguments.length) return valuer;
valuer = x;
return histogram;
};
histogram.range = function(x) {
if (!arguments.length) return ranger;
ranger = d3_functor(x);
return histogram;
};
histogram.bins = function(x) {
if (!arguments.length) return binner;
binner = typeof x === "number" ? function(range) {
return d3_layout_histogramBinFixed(range, x);
} : d3_functor(x);
return histogram;
};
histogram.frequency = function(x) {
if (!arguments.length) return frequency;
frequency = !!x;
return histogram;
};
return histogram;
};
function d3_layout_histogramBinSturges(range, values) {
return d3_layout_histogramBinFixed(range, Math.ceil(Math.log(values.length) / Math.LN2 + 1));
}
function d3_layout_histogramBinFixed(range, n) {
var x = -1, b = +range[0], m = (range[1] - b) / n, f = [];
while (++x <= n) f[x] = m * x + b;
return f;
}
function d3_layout_histogramRange(values) {
return [ d3.min(values), d3.max(values) ];
}
d3.layout.pack = function() {
var hierarchy = d3.layout.hierarchy().sort(d3_layout_packSort), padding = 0, size = [ 1, 1 ], radius;
function pack(d, i) {
var nodes = hierarchy.call(this, d, i), root = nodes[0], w = size[0], h = size[1], r = radius == null ? Math.sqrt : typeof radius === "function" ? radius : function() {
return radius;
};
root.x = root.y = 0;
d3_layout_hierarchyVisitAfter(root, function(d) {
d.r = +r(d.value);
});
d3_layout_hierarchyVisitAfter(root, d3_layout_packSiblings);
if (padding) {
var dr = padding * (radius ? 1 : Math.max(2 * root.r / w, 2 * root.r / h)) / 2;
d3_layout_hierarchyVisitAfter(root, function(d) {
d.r += dr;
});
d3_layout_hierarchyVisitAfter(root, d3_layout_packSiblings);
d3_layout_hierarchyVisitAfter(root, function(d) {
d.r -= dr;
});
}
d3_layout_packTransform(root, w / 2, h / 2, radius ? 1 : 1 / Math.max(2 * root.r / w, 2 * root.r / h));
return nodes;
}
pack.size = function(_) {
if (!arguments.length) return size;
size = _;
return pack;
};
pack.radius = function(_) {
if (!arguments.length) return radius;
radius = _ == null || typeof _ === "function" ? _ : +_;
return pack;
};
pack.padding = function(_) {
if (!arguments.length) return padding;
padding = +_;
return pack;
};
return d3_layout_hierarchyRebind(pack, hierarchy);
};
function d3_layout_packSort(a, b) {
return a.value - b.value;
}
function d3_layout_packInsert(a, b) {
var c = a._pack_next;
a._pack_next = b;
b._pack_prev = a;
b._pack_next = c;
c._pack_prev = b;
}
function d3_layout_packSplice(a, b) {
a._pack_next = b;
b._pack_prev = a;
}
function d3_layout_packIntersects(a, b) {
var dx = b.x - a.x, dy = b.y - a.y, dr = a.r + b.r;
return .999 * dr * dr > dx * dx + dy * dy;
}
function d3_layout_packSiblings(node) {
if (!(nodes = node.children) || !(n = nodes.length)) return;
var nodes, xMin = Infinity, xMax = -Infinity, yMin = Infinity, yMax = -Infinity, a, b, c, i, j, k, n;
function bound(node) {
xMin = Math.min(node.x - node.r, xMin);
xMax = Math.max(node.x + node.r, xMax);
yMin = Math.min(node.y - node.r, yMin);
yMax = Math.max(node.y + node.r, yMax);
}
nodes.forEach(d3_layout_packLink);
a = nodes[0];
a.x = -a.r;
a.y = 0;
bound(a);
if (n > 1) {
b = nodes[1];
b.x = b.r;
b.y = 0;
bound(b);
if (n > 2) {
c = nodes[2];
d3_layout_packPlace(a, b, c);
bound(c);
d3_layout_packInsert(a, c);
a._pack_prev = c;
d3_layout_packInsert(c, b);
b = a._pack_next;
for (i = 3; i < n; i++) {
d3_layout_packPlace(a, b, c = nodes[i]);
var isect = 0, s1 = 1, s2 = 1;
for (j = b._pack_next; j !== b; j = j._pack_next, s1++) {
if (d3_layout_packIntersects(j, c)) {
isect = 1;
break;
}
}
if (isect == 1) {
for (k = a._pack_prev; k !== j._pack_prev; k = k._pack_prev, s2++) {
if (d3_layout_packIntersects(k, c)) {
break;
}
}
}
if (isect) {
if (s1 < s2 || s1 == s2 && b.r < a.r) d3_layout_packSplice(a, b = j); else d3_layout_packSplice(a = k, b);
i--;
} else {
d3_layout_packInsert(a, c);
b = c;
bound(c);
}
}
}
}
var cx = (xMin + xMax) / 2, cy = (yMin + yMax) / 2, cr = 0;
for (i = 0; i < n; i++) {
c = nodes[i];
c.x -= cx;
c.y -= cy;
cr = Math.max(cr, c.r + Math.sqrt(c.x * c.x + c.y * c.y));
}
node.r = cr;
nodes.forEach(d3_layout_packUnlink);
}
function d3_layout_packLink(node) {
node._pack_next = node._pack_prev = node;
}
function d3_layout_packUnlink(node) {
delete node._pack_next;
delete node._pack_prev;
}
function d3_layout_packTransform(node, x, y, k) {
var children = node.children;
node.x = x += k * node.x;
node.y = y += k * node.y;
node.r *= k;
if (children) {
var i = -1, n = children.length;
while (++i < n) d3_layout_packTransform(children[i], x, y, k);
}
}
function d3_layout_packPlace(a, b, c) {
var db = a.r + c.r, dx = b.x - a.x, dy = b.y - a.y;
if (db && (dx || dy)) {
var da = b.r + c.r, dc = dx * dx + dy * dy;
da *= da;
db *= db;
var x = .5 + (db - da) / (2 * dc), y = Math.sqrt(Math.max(0, 2 * da * (db + dc) - (db -= dc) * db - da * da)) / (2 * dc);
c.x = a.x + x * dx + y * dy;
c.y = a.y + x * dy - y * dx;
} else {
c.x = a.x + db;
c.y = a.y;
}
}
d3.layout.tree = function() {
var hierarchy = d3.layout.hierarchy().sort(null).value(null), separation = d3_layout_treeSeparation, size = [ 1, 1 ], nodeSize = null;
function tree(d, i) {
var nodes = hierarchy.call(this, d, i), root0 = nodes[0], root1 = wrapTree(root0);
d3_layout_hierarchyVisitAfter(root1, firstWalk), root1.parent.m = -root1.z;
d3_layout_hierarchyVisitBefore(root1, secondWalk);
if (nodeSize) d3_layout_hierarchyVisitBefore(root0, sizeNode); else {
var left = root0, right = root0, bottom = root0;
d3_layout_hierarchyVisitBefore(root0, function(node) {
if (node.x < left.x) left = node;
if (node.x > right.x) right = node;
if (node.depth > bottom.depth) bottom = node;
});
var tx = separation(left, right) / 2 - left.x, kx = size[0] / (right.x + separation(right, left) / 2 + tx), ky = size[1] / (bottom.depth || 1);
d3_layout_hierarchyVisitBefore(root0, function(node) {
node.x = (node.x + tx) * kx;
node.y = node.depth * ky;
});
}
return nodes;
}
function wrapTree(root0) {
var root1 = {
A: null,
children: [ root0 ]
}, queue = [ root1 ], node1;
while ((node1 = queue.pop()) != null) {
for (var children = node1.children, child, i = 0, n = children.length; i < n; ++i) {
queue.push((children[i] = child = {
_: children[i],
parent: node1,
children: (child = children[i].children) && child.slice() || [],
A: null,
a: null,
z: 0,
m: 0,
c: 0,
s: 0,
t: null,
i: i
}).a = child);
}
}
return root1.children[0];
}
function firstWalk(v) {
var children = v.children, siblings = v.parent.children, w = v.i ? siblings[v.i - 1] : null;
if (children.length) {
d3_layout_treeShift(v);
var midpoint = (children[0].z + children[children.length - 1].z) / 2;
if (w) {
v.z = w.z + separation(v._, w._);
v.m = v.z - midpoint;
} else {
v.z = midpoint;
}
} else if (w) {
v.z = w.z + separation(v._, w._);
}
v.parent.A = apportion(v, w, v.parent.A || siblings[0]);
}
function secondWalk(v) {
v._.x = v.z + v.parent.m;
v.m += v.parent.m;
}
function apportion(v, w, ancestor) {
if (w) {
var vip = v, vop = v, vim = w, vom = vip.parent.children[0], sip = vip.m, sop = vop.m, sim = vim.m, som = vom.m, shift;
while (vim = d3_layout_treeRight(vim), vip = d3_layout_treeLeft(vip), vim && vip) {
vom = d3_layout_treeLeft(vom);
vop = d3_layout_treeRight(vop);
vop.a = v;
shift = vim.z + sim - vip.z - sip + separation(vim._, vip._);
if (shift > 0) {
d3_layout_treeMove(d3_layout_treeAncestor(vim, v, ancestor), v, shift);
sip += shift;
sop += shift;
}
sim += vim.m;
sip += vip.m;
som += vom.m;
sop += vop.m;
}
if (vim && !d3_layout_treeRight(vop)) {
vop.t = vim;
vop.m += sim - sop;
}
if (vip && !d3_layout_treeLeft(vom)) {
vom.t = vip;
vom.m += sip - som;
ancestor = v;
}
}
return ancestor;
}
function sizeNode(node) {
node.x *= size[0];
node.y = node.depth * size[1];
}
tree.separation = function(x) {
if (!arguments.length) return separation;
separation = x;
return tree;
};
tree.size = function(x) {
if (!arguments.length) return nodeSize ? null : size;
nodeSize = (size = x) == null ? sizeNode : null;
return tree;
};
tree.nodeSize = function(x) {
if (!arguments.length) return nodeSize ? size : null;
nodeSize = (size = x) == null ? null : sizeNode;
return tree;
};
return d3_layout_hierarchyRebind(tree, hierarchy);
};
function d3_layout_treeSeparation(a, b) {
return a.parent == b.parent ? 1 : 2;
}
function d3_layout_treeLeft(v) {
var children = v.children;
return children.length ? children[0] : v.t;
}
function d3_layout_treeRight(v) {
var children = v.children, n;
return (n = children.length) ? children[n - 1] : v.t;
}
function d3_layout_treeMove(wm, wp, shift) {
var change = shift / (wp.i - wm.i);
wp.c -= change;
wp.s += shift;
wm.c += change;
wp.z += shift;
wp.m += shift;
}
function d3_layout_treeShift(v) {
var shift = 0, change = 0, children = v.children, i = children.length, w;
while (--i >= 0) {
w = children[i];
w.z += shift;
w.m += shift;
shift += w.s + (change += w.c);
}
}
function d3_layout_treeAncestor(vim, v, ancestor) {
return vim.a.parent === v.parent ? vim.a : ancestor;
}
d3.layout.cluster = function() {
var hierarchy = d3.layout.hierarchy().sort(null).value(null), separation = d3_layout_treeSeparation, size = [ 1, 1 ], nodeSize = false;
function cluster(d, i) {
var nodes = hierarchy.call(this, d, i), root = nodes[0], previousNode, x = 0;
d3_layout_hierarchyVisitAfter(root, function(node) {
var children = node.children;
if (children && children.length) {
node.x = d3_layout_clusterX(children);
node.y = d3_layout_clusterY(children);
} else {
node.x = previousNode ? x += separation(node, previousNode) : 0;
node.y = 0;
previousNode = node;
}
});
var left = d3_layout_clusterLeft(root), right = d3_layout_clusterRight(root), x0 = left.x - separation(left, right) / 2, x1 = right.x + separation(right, left) / 2;
d3_layout_hierarchyVisitAfter(root, nodeSize ? function(node) {
node.x = (node.x - root.x) * size[0];
node.y = (root.y - node.y) * size[1];
} : function(node) {
node.x = (node.x - x0) / (x1 - x0) * size[0];
node.y = (1 - (root.y ? node.y / root.y : 1)) * size[1];
});
return nodes;
}
cluster.separation = function(x) {
if (!arguments.length) return separation;
separation = x;
return cluster;
};
cluster.size = function(x) {
if (!arguments.length) return nodeSize ? null : size;
nodeSize = (size = x) == null;
return cluster;
};
cluster.nodeSize = function(x) {
if (!arguments.length) return nodeSize ? size : null;
nodeSize = (size = x) != null;
return cluster;
};
return d3_layout_hierarchyRebind(cluster, hierarchy);
};
function d3_layout_clusterY(children) {
return 1 + d3.max(children, function(child) {
return child.y;
});
}
function d3_layout_clusterX(children) {
return children.reduce(function(x, child) {
return x + child.x;
}, 0) / children.length;
}
function d3_layout_clusterLeft(node) {
var children = node.children;
return children && children.length ? d3_layout_clusterLeft(children[0]) : node;
}
function d3_layout_clusterRight(node) {
var children = node.children, n;
return children && (n = children.length) ? d3_layout_clusterRight(children[n - 1]) : node;
}
d3.layout.treemap = function() {
var hierarchy = d3.layout.hierarchy(), round = Math.round, size = [ 1, 1 ], padding = null, pad = d3_layout_treemapPadNull, sticky = false, stickies, mode = "squarify", ratio = .5 * (1 + Math.sqrt(5));
function scale(children, k) {
var i = -1, n = children.length, child, area;
while (++i < n) {
area = (child = children[i]).value * (k < 0 ? 0 : k);
child.area = isNaN(area) || area <= 0 ? 0 : area;
}
}
function squarify(node) {
var children = node.children;
if (children && children.length) {
var rect = pad(node), row = [], remaining = children.slice(), child, best = Infinity, score, u = mode === "slice" ? rect.dx : mode === "dice" ? rect.dy : mode === "slice-dice" ? node.depth & 1 ? rect.dy : rect.dx : Math.min(rect.dx, rect.dy), n;
scale(remaining, rect.dx * rect.dy / node.value);
row.area = 0;
while ((n = remaining.length) > 0) {
row.push(child = remaining[n - 1]);
row.area += child.area;
if (mode !== "squarify" || (score = worst(row, u)) <= best) {
remaining.pop();
best = score;
} else {
row.area -= row.pop().area;
position(row, u, rect, false);
u = Math.min(rect.dx, rect.dy);
row.length = row.area = 0;
best = Infinity;
}
}
if (row.length) {
position(row, u, rect, true);
row.length = row.area = 0;
}
children.forEach(squarify);
}
}
function stickify(node) {
var children = node.children;
if (children && children.length) {
var rect = pad(node), remaining = children.slice(), child, row = [];
scale(remaining, rect.dx * rect.dy / node.value);
row.area = 0;
while (child = remaining.pop()) {
row.push(child);
row.area += child.area;
if (child.z != null) {
position(row, child.z ? rect.dx : rect.dy, rect, !remaining.length);
row.length = row.area = 0;
}
}
children.forEach(stickify);
}
}
function worst(row, u) {
var s = row.area, r, rmax = 0, rmin = Infinity, i = -1, n = row.length;
while (++i < n) {
if (!(r = row[i].area)) continue;
if (r < rmin) rmin = r;
if (r > rmax) rmax = r;
}
s *= s;
u *= u;
return s ? Math.max(u * rmax * ratio / s, s / (u * rmin * ratio)) : Infinity;
}
function position(row, u, rect, flush) {
var i = -1, n = row.length, x = rect.x, y = rect.y, v = u ? round(row.area / u) : 0, o;
if (u == rect.dx) {
if (flush || v > rect.dy) v = rect.dy;
while (++i < n) {
o = row[i];
o.x = x;
o.y = y;
o.dy = v;
x += o.dx = Math.min(rect.x + rect.dx - x, v ? round(o.area / v) : 0);
}
o.z = true;
o.dx += rect.x + rect.dx - x;
rect.y += v;
rect.dy -= v;
} else {
if (flush || v > rect.dx) v = rect.dx;
while (++i < n) {
o = row[i];
o.x = x;
o.y = y;
o.dx = v;
y += o.dy = Math.min(rect.y + rect.dy - y, v ? round(o.area / v) : 0);
}
o.z = false;
o.dy += rect.y + rect.dy - y;
rect.x += v;
rect.dx -= v;
}
}
function treemap(d) {
var nodes = stickies || hierarchy(d), root = nodes[0];
root.x = 0;
root.y = 0;
root.dx = size[0];
root.dy = size[1];
if (stickies) hierarchy.revalue(root);
scale([ root ], root.dx * root.dy / root.value);
(stickies ? stickify : squarify)(root);
if (sticky) stickies = nodes;
return nodes;
}
treemap.size = function(x) {
if (!arguments.length) return size;
size = x;
return treemap;
};
treemap.padding = function(x) {
if (!arguments.length) return padding;
function padFunction(node) {
var p = x.call(treemap, node, node.depth);
return p == null ? d3_layout_treemapPadNull(node) : d3_layout_treemapPad(node, typeof p === "number" ? [ p, p, p, p ] : p);
}
function padConstant(node) {
return d3_layout_treemapPad(node, x);
}
var type;
pad = (padding = x) == null ? d3_layout_treemapPadNull : (type = typeof x) === "function" ? padFunction : type === "number" ? (x = [ x, x, x, x ],
padConstant) : padConstant;
return treemap;
};
treemap.round = function(x) {
if (!arguments.length) return round != Number;
round = x ? Math.round : Number;
return treemap;
};
treemap.sticky = function(x) {
if (!arguments.length) return sticky;
sticky = x;
stickies = null;
return treemap;
};
treemap.ratio = function(x) {
if (!arguments.length) return ratio;
ratio = x;
return treemap;
};
treemap.mode = function(x) {
if (!arguments.length) return mode;
mode = x + "";
return treemap;
};
return d3_layout_hierarchyRebind(treemap, hierarchy);
};
function d3_layout_treemapPadNull(node) {
return {
x: node.x,
y: node.y,
dx: node.dx,
dy: node.dy
};
}
function d3_layout_treemapPad(node, padding) {
var x = node.x + padding[3], y = node.y + padding[0], dx = node.dx - padding[1] - padding[3], dy = node.dy - padding[0] - padding[2];
if (dx < 0) {
x += dx / 2;
dx = 0;
}
if (dy < 0) {
y += dy / 2;
dy = 0;
}
return {
x: x,
y: y,
dx: dx,
dy: dy
};
}
d3.random = {
normal: function(µ, σ) {
var n = arguments.length;
if (n < 2) σ = 1;
if (n < 1) µ = 0;
return function() {
var x, y, r;
do {
x = Math.random() * 2 - 1;
y = Math.random() * 2 - 1;
r = x * x + y * y;
} while (!r || r > 1);
return µ + σ * x * Math.sqrt(-2 * Math.log(r) / r);
};
},
logNormal: function() {
var random = d3.random.normal.apply(d3, arguments);
return function() {
return Math.exp(random());
};
},
bates: function(m) {
var random = d3.random.irwinHall(m);
return function() {
return random() / m;
};
},
irwinHall: function(m) {
return function() {
for (var s = 0, j = 0; j < m; j++) s += Math.random();
return s;
};
}
};
d3.scale = {};
function d3_scaleExtent(domain) {
var start = domain[0], stop = domain[domain.length - 1];
return start < stop ? [ start, stop ] : [ stop, start ];
}
function d3_scaleRange(scale) {
return scale.rangeExtent ? scale.rangeExtent() : d3_scaleExtent(scale.range());
}
function d3_scale_bilinear(domain, range, uninterpolate, interpolate) {
var u = uninterpolate(domain[0], domain[1]), i = interpolate(range[0], range[1]);
return function(x) {
return i(u(x));
};
}
function d3_scale_nice(domain, nice) {
var i0 = 0, i1 = domain.length - 1, x0 = domain[i0], x1 = domain[i1], dx;
if (x1 < x0) {
dx = i0, i0 = i1, i1 = dx;
dx = x0, x0 = x1, x1 = dx;
}
domain[i0] = nice.floor(x0);
domain[i1] = nice.ceil(x1);
return domain;
}
function d3_scale_niceStep(step) {
return step ? {
floor: function(x) {
return Math.floor(x / step) * step;
},
ceil: function(x) {
return Math.ceil(x / step) * step;
}
} : d3_scale_niceIdentity;
}
var d3_scale_niceIdentity = {
floor: d3_identity,
ceil: d3_identity
};
function d3_scale_polylinear(domain, range, uninterpolate, interpolate) {
var u = [], i = [], j = 0, k = Math.min(domain.length, range.length) - 1;
if (domain[k] < domain[0]) {
domain = domain.slice().reverse();
range = range.slice().reverse();
}
while (++j <= k) {
u.push(uninterpolate(domain[j - 1], domain[j]));
i.push(interpolate(range[j - 1], range[j]));
}
return function(x) {
var j = d3.bisect(domain, x, 1, k) - 1;
return i[j](u[j](x));
};
}
d3.scale.linear = function() {
return d3_scale_linear([ 0, 1 ], [ 0, 1 ], d3_interpolate, false);
};
function d3_scale_linear(domain, range, interpolate, clamp) {
var output, input;
function rescale() {
var linear = Math.min(domain.length, range.length) > 2 ? d3_scale_polylinear : d3_scale_bilinear, uninterpolate = clamp ? d3_uninterpolateClamp : d3_uninterpolateNumber;
output = linear(domain, range, uninterpolate, interpolate);
input = linear(range, domain, uninterpolate, d3_interpolate);
return scale;
}
function scale(x) {
return output(x);
}
scale.invert = function(y) {
return input(y);
};
scale.domain = function(x) {
if (!arguments.length) return domain;
domain = x.map(Number);
return rescale();
};
scale.range = function(x) {
if (!arguments.length) return range;
range = x;
return rescale();
};
scale.rangeRound = function(x) {
return scale.range(x).interpolate(d3_interpolateRound);
};
scale.clamp = function(x) {
if (!arguments.length) return clamp;
clamp = x;
return rescale();
};
scale.interpolate = function(x) {
if (!arguments.length) return interpolate;
interpolate = x;
return rescale();
};
scale.ticks = function(m) {
return d3_scale_linearTicks(domain, m);
};
scale.tickFormat = function(m, format) {
return d3_scale_linearTickFormat(domain, m, format);
};
scale.nice = function(m) {
d3_scale_linearNice(domain, m);
return rescale();
};
scale.copy = function() {
return d3_scale_linear(domain, range, interpolate, clamp);
};
return rescale();
}
function d3_scale_linearRebind(scale, linear) {
return d3.rebind(scale, linear, "range", "rangeRound", "interpolate", "clamp");
}
function d3_scale_linearNice(domain, m) {
return d3_scale_nice(domain, d3_scale_niceStep(d3_scale_linearTickRange(domain, m)[2]));
}
function d3_scale_linearTickRange(domain, m) {
if (m == null) m = 10;
var extent = d3_scaleExtent(domain), span = extent[1] - extent[0], step = Math.pow(10, Math.floor(Math.log(span / m) / Math.LN10)), err = m / span * step;
if (err <= .15) step *= 10; else if (err <= .35) step *= 5; else if (err <= .75) step *= 2;
extent[0] = Math.ceil(extent[0] / step) * step;
extent[1] = Math.floor(extent[1] / step) * step + step * .5;
extent[2] = step;
return extent;
}
function d3_scale_linearTicks(domain, m) {
return d3.range.apply(d3, d3_scale_linearTickRange(domain, m));
}
function d3_scale_linearTickFormat(domain, m, format) {
var range = d3_scale_linearTickRange(domain, m);
if (format) {
var match = d3_format_re.exec(format);
match.shift();
if (match[8] === "s") {
var prefix = d3.formatPrefix(Math.max(abs(range[0]), abs(range[1])));
if (!match[7]) match[7] = "." + d3_scale_linearPrecision(prefix.scale(range[2]));
match[8] = "f";
format = d3.format(match.join(""));
return function(d) {
return format(prefix.scale(d)) + prefix.symbol;
};
}
if (!match[7]) match[7] = "." + d3_scale_linearFormatPrecision(match[8], range);
format = match.join("");
} else {
format = ",." + d3_scale_linearPrecision(range[2]) + "f";
}
return d3.format(format);
}
var d3_scale_linearFormatSignificant = {
s: 1,
g: 1,
p: 1,
r: 1,
e: 1
};
function d3_scale_linearPrecision(value) {
return -Math.floor(Math.log(value) / Math.LN10 + .01);
}
function d3_scale_linearFormatPrecision(type, range) {
var p = d3_scale_linearPrecision(range[2]);
return type in d3_scale_linearFormatSignificant ? Math.abs(p - d3_scale_linearPrecision(Math.max(abs(range[0]), abs(range[1])))) + +(type !== "e") : p - (type === "%") * 2;
}
d3.scale.log = function() {
return d3_scale_log(d3.scale.linear().domain([ 0, 1 ]), 10, true, [ 1, 10 ]);
};
function d3_scale_log(linear, base, positive, domain) {
function log(x) {
return (positive ? Math.log(x < 0 ? 0 : x) : -Math.log(x > 0 ? 0 : -x)) / Math.log(base);
}
function pow(x) {
return positive ? Math.pow(base, x) : -Math.pow(base, -x);
}
function scale(x) {
return linear(log(x));
}
scale.invert = function(x) {
return pow(linear.invert(x));
};
scale.domain = function(x) {
if (!arguments.length) return domain;
positive = x[0] >= 0;
linear.domain((domain = x.map(Number)).map(log));
return scale;
};
scale.base = function(_) {
if (!arguments.length) return base;
base = +_;
linear.domain(domain.map(log));
return scale;
};
scale.nice = function() {
var niced = d3_scale_nice(domain.map(log), positive ? Math : d3_scale_logNiceNegative);
linear.domain(niced);
domain = niced.map(pow);
return scale;
};
scale.ticks = function() {
var extent = d3_scaleExtent(domain), ticks = [], u = extent[0], v = extent[1], i = Math.floor(log(u)), j = Math.ceil(log(v)), n = base % 1 ? 2 : base;
if (isFinite(j - i)) {
if (positive) {
for (;i < j; i++) for (var k = 1; k < n; k++) ticks.push(pow(i) * k);
ticks.push(pow(i));
} else {
ticks.push(pow(i));
for (;i++ < j; ) for (var k = n - 1; k > 0; k--) ticks.push(pow(i) * k);
}
for (i = 0; ticks[i] < u; i++) {}
for (j = ticks.length; ticks[j - 1] > v; j--) {}
ticks = ticks.slice(i, j);
}
return ticks;
};
scale.tickFormat = function(n, format) {
if (!arguments.length) return d3_scale_logFormat;
if (arguments.length < 2) format = d3_scale_logFormat; else if (typeof format !== "function") format = d3.format(format);
var k = Math.max(.1, n / scale.ticks().length), f = positive ? (e = 1e-12, Math.ceil) : (e = -1e-12,
Math.floor), e;
return function(d) {
return d / pow(f(log(d) + e)) <= k ? format(d) : "";
};
};
scale.copy = function() {
return d3_scale_log(linear.copy(), base, positive, domain);
};
return d3_scale_linearRebind(scale, linear);
}
var d3_scale_logFormat = d3.format(".0e"), d3_scale_logNiceNegative = {
floor: function(x) {
return -Math.ceil(-x);
},
ceil: function(x) {
return -Math.floor(-x);
}
};
d3.scale.pow = function() {
return d3_scale_pow(d3.scale.linear(), 1, [ 0, 1 ]);
};
function d3_scale_pow(linear, exponent, domain) {
var powp = d3_scale_powPow(exponent), powb = d3_scale_powPow(1 / exponent);
function scale(x) {
return linear(powp(x));
}
scale.invert = function(x) {
return powb(linear.invert(x));
};
scale.domain = function(x) {
if (!arguments.length) return domain;
linear.domain((domain = x.map(Number)).map(powp));
return scale;
};
scale.ticks = function(m) {
return d3_scale_linearTicks(domain, m);
};
scale.tickFormat = function(m, format) {
return d3_scale_linearTickFormat(domain, m, format);
};
scale.nice = function(m) {
return scale.domain(d3_scale_linearNice(domain, m));
};
scale.exponent = function(x) {
if (!arguments.length) return exponent;
powp = d3_scale_powPow(exponent = x);
powb = d3_scale_powPow(1 / exponent);
linear.domain(domain.map(powp));
return scale;
};
scale.copy = function() {
return d3_scale_pow(linear.copy(), exponent, domain);
};
return d3_scale_linearRebind(scale, linear);
}
function d3_scale_powPow(e) {
return function(x) {
return x < 0 ? -Math.pow(-x, e) : Math.pow(x, e);
};
}
d3.scale.sqrt = function() {
return d3.scale.pow().exponent(.5);
};
d3.scale.ordinal = function() {
return d3_scale_ordinal([], {
t: "range",
a: [ [] ]
});
};
function d3_scale_ordinal(domain, ranger) {
var index, range, rangeBand;
function scale(x) {
return range[((index.get(x) || (ranger.t === "range" ? index.set(x, domain.push(x)) : NaN)) - 1) % range.length];
}
function steps(start, step) {
return d3.range(domain.length).map(function(i) {
return start + step * i;
});
}
scale.domain = function(x) {
if (!arguments.length) return domain;
domain = [];
index = new d3_Map();
var i = -1, n = x.length, xi;
while (++i < n) if (!index.has(xi = x[i])) index.set(xi, domain.push(xi));
return scale[ranger.t].apply(scale, ranger.a);
};
scale.range = function(x) {
if (!arguments.length) return range;
range = x;
rangeBand = 0;
ranger = {
t: "range",
a: arguments
};
return scale;
};
scale.rangePoints = function(x, padding) {
if (arguments.length < 2) padding = 0;
var start = x[0], stop = x[1], step = (stop - start) / (Math.max(1, domain.length - 1) + padding);
range = steps(domain.length < 2 ? (start + stop) / 2 : start + step * padding / 2, step);
rangeBand = 0;
ranger = {
t: "rangePoints",
a: arguments
};
return scale;
};
scale.rangeBands = function(x, padding, outerPadding) {
if (arguments.length < 2) padding = 0;
if (arguments.length < 3) outerPadding = padding;
var reverse = x[1] < x[0], start = x[reverse - 0], stop = x[1 - reverse], step = (stop - start) / (domain.length - padding + 2 * outerPadding);
range = steps(start + step * outerPadding, step);
if (reverse) range.reverse();
rangeBand = step * (1 - padding);
ranger = {
t: "rangeBands",
a: arguments
};
return scale;
};
scale.rangeRoundBands = function(x, padding, outerPadding) {
if (arguments.length < 2) padding = 0;
if (arguments.length < 3) outerPadding = padding;
var reverse = x[1] < x[0], start = x[reverse - 0], stop = x[1 - reverse], step = Math.floor((stop - start) / (domain.length - padding + 2 * outerPadding)), error = stop - start - (domain.length - padding) * step;
range = steps(start + Math.round(error / 2), step);
if (reverse) range.reverse();
rangeBand = Math.round(step * (1 - padding));
ranger = {
t: "rangeRoundBands",
a: arguments
};
return scale;
};
scale.rangeBand = function() {
return rangeBand;
};
scale.rangeExtent = function() {
return d3_scaleExtent(ranger.a[0]);
};
scale.copy = function() {
return d3_scale_ordinal(domain, ranger);
};
return scale.domain(domain);
}
d3.scale.category10 = function() {
return d3.scale.ordinal().range(d3_category10);
};
d3.scale.category20 = function() {
return d3.scale.ordinal().range(d3_category20);
};
d3.scale.category20b = function() {
return d3.scale.ordinal().range(d3_category20b);
};
d3.scale.category20c = function() {
return d3.scale.ordinal().range(d3_category20c);
};
var d3_category10 = [ 2062260, 16744206, 2924588, 14034728, 9725885, 9197131, 14907330, 8355711, 12369186, 1556175 ].map(d3_rgbString);
var d3_category20 = [ 2062260, 11454440, 16744206, 16759672, 2924588, 10018698, 14034728, 16750742, 9725885, 12955861, 9197131, 12885140, 14907330, 16234194, 8355711, 13092807, 12369186, 14408589, 1556175, 10410725 ].map(d3_rgbString);
var d3_category20b = [ 3750777, 5395619, 7040719, 10264286, 6519097, 9216594, 11915115, 13556636, 9202993, 12426809, 15186514, 15190932, 8666169, 11356490, 14049643, 15177372, 8077683, 10834324, 13528509, 14589654 ].map(d3_rgbString);
var d3_category20c = [ 3244733, 7057110, 10406625, 13032431, 15095053, 16616764, 16625259, 16634018, 3253076, 7652470, 10607003, 13101504, 7695281, 10394312, 12369372, 14342891, 6513507, 9868950, 12434877, 14277081 ].map(d3_rgbString);
d3.scale.quantile = function() {
return d3_scale_quantile([], []);
};
function d3_scale_quantile(domain, range) {
var thresholds;
function rescale() {
var k = 0, q = range.length;
thresholds = [];
while (++k < q) thresholds[k - 1] = d3.quantile(domain, k / q);
return scale;
}
function scale(x) {
if (!isNaN(x = +x)) return range[d3.bisect(thresholds, x)];
}
scale.domain = function(x) {
if (!arguments.length) return domain;
domain = x.map(d3_number).filter(d3_numeric).sort(d3_ascending);
return rescale();
};
scale.range = function(x) {
if (!arguments.length) return range;
range = x;
return rescale();
};
scale.quantiles = function() {
return thresholds;
};
scale.invertExtent = function(y) {
y = range.indexOf(y);
return y < 0 ? [ NaN, NaN ] : [ y > 0 ? thresholds[y - 1] : domain[0], y < thresholds.length ? thresholds[y] : domain[domain.length - 1] ];
};
scale.copy = function() {
return d3_scale_quantile(domain, range);
};
return rescale();
}
d3.scale.quantize = function() {
return d3_scale_quantize(0, 1, [ 0, 1 ]);
};
function d3_scale_quantize(x0, x1, range) {
var kx, i;
function scale(x) {
return range[Math.max(0, Math.min(i, Math.floor(kx * (x - x0))))];
}
function rescale() {
kx = range.length / (x1 - x0);
i = range.length - 1;
return scale;
}
scale.domain = function(x) {
if (!arguments.length) return [ x0, x1 ];
x0 = +x[0];
x1 = +x[x.length - 1];
return rescale();
};
scale.range = function(x) {
if (!arguments.length) return range;
range = x;
return rescale();
};
scale.invertExtent = function(y) {
y = range.indexOf(y);
y = y < 0 ? NaN : y / kx + x0;
return [ y, y + 1 / kx ];
};
scale.copy = function() {
return d3_scale_quantize(x0, x1, range);
};
return rescale();
}
d3.scale.threshold = function() {
return d3_scale_threshold([ .5 ], [ 0, 1 ]);
};
function d3_scale_threshold(domain, range) {
function scale(x) {
if (x <= x) return range[d3.bisect(domain, x)];
}
scale.domain = function(_) {
if (!arguments.length) return domain;
domain = _;
return scale;
};
scale.range = function(_) {
if (!arguments.length) return range;
range = _;
return scale;
};
scale.invertExtent = function(y) {
y = range.indexOf(y);
return [ domain[y - 1], domain[y] ];
};
scale.copy = function() {
return d3_scale_threshold(domain, range);
};
return scale;
}
d3.scale.identity = function() {
return d3_scale_identity([ 0, 1 ]);
};
function d3_scale_identity(domain) {
function identity(x) {
return +x;
}
identity.invert = identity;
identity.domain = identity.range = function(x) {
if (!arguments.length) return domain;
domain = x.map(identity);
return identity;
};
identity.ticks = function(m) {
return d3_scale_linearTicks(domain, m);
};
identity.tickFormat = function(m, format) {
return d3_scale_linearTickFormat(domain, m, format);
};
identity.copy = function() {
return d3_scale_identity(domain);
};
return identity;
}
d3.svg = {};
d3.svg.arc = function() {
var innerRadius = d3_svg_arcInnerRadius, outerRadius = d3_svg_arcOuterRadius, startAngle = d3_svg_arcStartAngle, endAngle = d3_svg_arcEndAngle;
function arc() {
var r0 = innerRadius.apply(this, arguments), r1 = outerRadius.apply(this, arguments), a0 = startAngle.apply(this, arguments) + d3_svg_arcOffset, a1 = endAngle.apply(this, arguments) + d3_svg_arcOffset, da = (a1 < a0 && (da = a0,
a0 = a1, a1 = da), a1 - a0), df = da < π ? "0" : "1", c0 = Math.cos(a0), s0 = Math.sin(a0), c1 = Math.cos(a1), s1 = Math.sin(a1);
return da >= d3_svg_arcMax ? r0 ? "M0," + r1 + "A" + r1 + "," + r1 + " 0 1,1 0," + -r1 + "A" + r1 + "," + r1 + " 0 1,1 0," + r1 + "M0," + r0 + "A" + r0 + "," + r0 + " 0 1,0 0," + -r0 + "A" + r0 + "," + r0 + " 0 1,0 0," + r0 + "Z" : "M0," + r1 + "A" + r1 + "," + r1 + " 0 1,1 0," + -r1 + "A" + r1 + "," + r1 + " 0 1,1 0," + r1 + "Z" : r0 ? "M" + r1 * c0 + "," + r1 * s0 + "A" + r1 + "," + r1 + " 0 " + df + ",1 " + r1 * c1 + "," + r1 * s1 + "L" + r0 * c1 + "," + r0 * s1 + "A" + r0 + "," + r0 + " 0 " + df + ",0 " + r0 * c0 + "," + r0 * s0 + "Z" : "M" + r1 * c0 + "," + r1 * s0 + "A" + r1 + "," + r1 + " 0 " + df + ",1 " + r1 * c1 + "," + r1 * s1 + "L0,0" + "Z";
}
arc.innerRadius = function(v) {
if (!arguments.length) return innerRadius;
innerRadius = d3_functor(v);
return arc;
};
arc.outerRadius = function(v) {
if (!arguments.length) return outerRadius;
outerRadius = d3_functor(v);
return arc;
};
arc.startAngle = function(v) {
if (!arguments.length) return startAngle;
startAngle = d3_functor(v);
return arc;
};
arc.endAngle = function(v) {
if (!arguments.length) return endAngle;
endAngle = d3_functor(v);
return arc;
};
arc.centroid = function() {
var r = (innerRadius.apply(this, arguments) + outerRadius.apply(this, arguments)) / 2, a = (startAngle.apply(this, arguments) + endAngle.apply(this, arguments)) / 2 + d3_svg_arcOffset;
return [ Math.cos(a) * r, Math.sin(a) * r ];
};
return arc;
};
var d3_svg_arcOffset = -halfπ, d3_svg_arcMax = τ - ε;
function d3_svg_arcInnerRadius(d) {
return d.innerRadius;
}
function d3_svg_arcOuterRadius(d) {
return d.outerRadius;
}
function d3_svg_arcStartAngle(d) {
return d.startAngle;
}
function d3_svg_arcEndAngle(d) {
return d.endAngle;
}
function d3_svg_line(projection) {
var x = d3_geom_pointX, y = d3_geom_pointY, defined = d3_true, interpolate = d3_svg_lineLinear, interpolateKey = interpolate.key, tension = .7;
function line(data) {
var segments = [], points = [], i = -1, n = data.length, d, fx = d3_functor(x), fy = d3_functor(y);
function segment() {
segments.push("M", interpolate(projection(points), tension));
}
while (++i < n) {
if (defined.call(this, d = data[i], i)) {
points.push([ +fx.call(this, d, i), +fy.call(this, d, i) ]);
} else if (points.length) {
segment();
points = [];
}
}
if (points.length) segment();
return segments.length ? segments.join("") : null;
}
line.x = function(_) {
if (!arguments.length) return x;
x = _;
return line;
};
line.y = function(_) {
if (!arguments.length) return y;
y = _;
return line;
};
line.defined = function(_) {
if (!arguments.length) return defined;
defined = _;
return line;
};
line.interpolate = function(_) {
if (!arguments.length) return interpolateKey;
if (typeof _ === "function") interpolateKey = interpolate = _; else interpolateKey = (interpolate = d3_svg_lineInterpolators.get(_) || d3_svg_lineLinear).key;
return line;
};
line.tension = function(_) {
if (!arguments.length) return tension;
tension = _;
return line;
};
return line;
}
d3.svg.line = function() {
return d3_svg_line(d3_identity);
};
var d3_svg_lineInterpolators = d3.map({
linear: d3_svg_lineLinear,
"linear-closed": d3_svg_lineLinearClosed,
step: d3_svg_lineStep,
"step-before": d3_svg_lineStepBefore,
"step-after": d3_svg_lineStepAfter,
basis: d3_svg_lineBasis,
"basis-open": d3_svg_lineBasisOpen,
"basis-closed": d3_svg_lineBasisClosed,
bundle: d3_svg_lineBundle,
cardinal: d3_svg_lineCardinal,
"cardinal-open": d3_svg_lineCardinalOpen,
"cardinal-closed": d3_svg_lineCardinalClosed,
monotone: d3_svg_lineMonotone
});
d3_svg_lineInterpolators.forEach(function(key, value) {
value.key = key;
value.closed = /-closed$/.test(key);
});
function d3_svg_lineLinear(points) {
return points.join("L");
}
function d3_svg_lineLinearClosed(points) {
return d3_svg_lineLinear(points) + "Z";
}
function d3_svg_lineStep(points) {
var i = 0, n = points.length, p = points[0], path = [ p[0], ",", p[1] ];
while (++i < n) path.push("H", (p[0] + (p = points[i])[0]) / 2, "V", p[1]);
if (n > 1) path.push("H", p[0]);
return path.join("");
}
function d3_svg_lineStepBefore(points) {
var i = 0, n = points.length, p = points[0], path = [ p[0], ",", p[1] ];
while (++i < n) path.push("V", (p = points[i])[1], "H", p[0]);
return path.join("");
}
function d3_svg_lineStepAfter(points) {
var i = 0, n = points.length, p = points[0], path = [ p[0], ",", p[1] ];
while (++i < n) path.push("H", (p = points[i])[0], "V", p[1]);
return path.join("");
}
function d3_svg_lineCardinalOpen(points, tension) {
return points.length < 4 ? d3_svg_lineLinear(points) : points[1] + d3_svg_lineHermite(points.slice(1, points.length - 1), d3_svg_lineCardinalTangents(points, tension));
}
function d3_svg_lineCardinalClosed(points, tension) {
return points.length < 3 ? d3_svg_lineLinear(points) : points[0] + d3_svg_lineHermite((points.push(points[0]),
points), d3_svg_lineCardinalTangents([ points[points.length - 2] ].concat(points, [ points[1] ]), tension));
}
function d3_svg_lineCardinal(points, tension) {
return points.length < 3 ? d3_svg_lineLinear(points) : points[0] + d3_svg_lineHermite(points, d3_svg_lineCardinalTangents(points, tension));
}
function d3_svg_lineHermite(points, tangents) {
if (tangents.length < 1 || points.length != tangents.length && points.length != tangents.length + 2) {
return d3_svg_lineLinear(points);
}
var quad = points.length != tangents.length, path = "", p0 = points[0], p = points[1], t0 = tangents[0], t = t0, pi = 1;
if (quad) {
path += "Q" + (p[0] - t0[0] * 2 / 3) + "," + (p[1] - t0[1] * 2 / 3) + "," + p[0] + "," + p[1];
p0 = points[1];
pi = 2;
}
if (tangents.length > 1) {
t = tangents[1];
p = points[pi];
pi++;
path += "C" + (p0[0] + t0[0]) + "," + (p0[1] + t0[1]) + "," + (p[0] - t[0]) + "," + (p[1] - t[1]) + "," + p[0] + "," + p[1];
for (var i = 2; i < tangents.length; i++, pi++) {
p = points[pi];
t = tangents[i];
path += "S" + (p[0] - t[0]) + "," + (p[1] - t[1]) + "," + p[0] + "," + p[1];
}
}
if (quad) {
var lp = points[pi];
path += "Q" + (p[0] + t[0] * 2 / 3) + "," + (p[1] + t[1] * 2 / 3) + "," + lp[0] + "," + lp[1];
}
return path;
}
function d3_svg_lineCardinalTangents(points, tension) {
var tangents = [], a = (1 - tension) / 2, p0, p1 = points[0], p2 = points[1], i = 1, n = points.length;
while (++i < n) {
p0 = p1;
p1 = p2;
p2 = points[i];
tangents.push([ a * (p2[0] - p0[0]), a * (p2[1] - p0[1]) ]);
}
return tangents;
}
function d3_svg_lineBasis(points) {
if (points.length < 3) return d3_svg_lineLinear(points);
var i = 1, n = points.length, pi = points[0], x0 = pi[0], y0 = pi[1], px = [ x0, x0, x0, (pi = points[1])[0] ], py = [ y0, y0, y0, pi[1] ], path = [ x0, ",", y0, "L", d3_svg_lineDot4(d3_svg_lineBasisBezier3, px), ",", d3_svg_lineDot4(d3_svg_lineBasisBezier3, py) ];
points.push(points[n - 1]);
while (++i <= n) {
pi = points[i];
px.shift();
px.push(pi[0]);
py.shift();
py.push(pi[1]);
d3_svg_lineBasisBezier(path, px, py);
}
points.pop();
path.push("L", pi);
return path.join("");
}
function d3_svg_lineBasisOpen(points) {
if (points.length < 4) return d3_svg_lineLinear(points);
var path = [], i = -1, n = points.length, pi, px = [ 0 ], py = [ 0 ];
while (++i < 3) {
pi = points[i];
px.push(pi[0]);
py.push(pi[1]);
}
path.push(d3_svg_lineDot4(d3_svg_lineBasisBezier3, px) + "," + d3_svg_lineDot4(d3_svg_lineBasisBezier3, py));
--i;
while (++i < n) {
pi = points[i];
px.shift();
px.push(pi[0]);
py.shift();
py.push(pi[1]);
d3_svg_lineBasisBezier(path, px, py);
}
return path.join("");
}
function d3_svg_lineBasisClosed(points) {
var path, i = -1, n = points.length, m = n + 4, pi, px = [], py = [];
while (++i < 4) {
pi = points[i % n];
px.push(pi[0]);
py.push(pi[1]);
}
path = [ d3_svg_lineDot4(d3_svg_lineBasisBezier3, px), ",", d3_svg_lineDot4(d3_svg_lineBasisBezier3, py) ];
--i;
while (++i < m) {
pi = points[i % n];
px.shift();
px.push(pi[0]);
py.shift();
py.push(pi[1]);
d3_svg_lineBasisBezier(path, px, py);
}
return path.join("");
}
function d3_svg_lineBundle(points, tension) {
var n = points.length - 1;
if (n) {
var x0 = points[0][0], y0 = points[0][1], dx = points[n][0] - x0, dy = points[n][1] - y0, i = -1, p, t;
while (++i <= n) {
p = points[i];
t = i / n;
p[0] = tension * p[0] + (1 - tension) * (x0 + t * dx);
p[1] = tension * p[1] + (1 - tension) * (y0 + t * dy);
}
}
return d3_svg_lineBasis(points);
}
function d3_svg_lineDot4(a, b) {
return a[0] * b[0] + a[1] * b[1] + a[2] * b[2] + a[3] * b[3];
}
var d3_svg_lineBasisBezier1 = [ 0, 2 / 3, 1 / 3, 0 ], d3_svg_lineBasisBezier2 = [ 0, 1 / 3, 2 / 3, 0 ], d3_svg_lineBasisBezier3 = [ 0, 1 / 6, 2 / 3, 1 / 6 ];
function d3_svg_lineBasisBezier(path, x, y) {
path.push("C", d3_svg_lineDot4(d3_svg_lineBasisBezier1, x), ",", d3_svg_lineDot4(d3_svg_lineBasisBezier1, y), ",", d3_svg_lineDot4(d3_svg_lineBasisBezier2, x), ",", d3_svg_lineDot4(d3_svg_lineBasisBezier2, y), ",", d3_svg_lineDot4(d3_svg_lineBasisBezier3, x), ",", d3_svg_lineDot4(d3_svg_lineBasisBezier3, y));
}
function d3_svg_lineSlope(p0, p1) {
return (p1[1] - p0[1]) / (p1[0] - p0[0]);
}
function d3_svg_lineFiniteDifferences(points) {
var i = 0, j = points.length - 1, m = [], p0 = points[0], p1 = points[1], d = m[0] = d3_svg_lineSlope(p0, p1);
while (++i < j) {
m[i] = (d + (d = d3_svg_lineSlope(p0 = p1, p1 = points[i + 1]))) / 2;
}
m[i] = d;
return m;
}
function d3_svg_lineMonotoneTangents(points) {
var tangents = [], d, a, b, s, m = d3_svg_lineFiniteDifferences(points), i = -1, j = points.length - 1;
while (++i < j) {
d = d3_svg_lineSlope(points[i], points[i + 1]);
if (abs(d) < ε) {
m[i] = m[i + 1] = 0;
} else {
a = m[i] / d;
b = m[i + 1] / d;
s = a * a + b * b;
if (s > 9) {
s = d * 3 / Math.sqrt(s);
m[i] = s * a;
m[i + 1] = s * b;
}
}
}
i = -1;
while (++i <= j) {
s = (points[Math.min(j, i + 1)][0] - points[Math.max(0, i - 1)][0]) / (6 * (1 + m[i] * m[i]));
tangents.push([ s || 0, m[i] * s || 0 ]);
}
return tangents;
}
function d3_svg_lineMonotone(points) {
return points.length < 3 ? d3_svg_lineLinear(points) : points[0] + d3_svg_lineHermite(points, d3_svg_lineMonotoneTangents(points));
}
d3.svg.line.radial = function() {
var line = d3_svg_line(d3_svg_lineRadial);
line.radius = line.x, delete line.x;
line.angle = line.y, delete line.y;
return line;
};
function d3_svg_lineRadial(points) {
var point, i = -1, n = points.length, r, a;
while (++i < n) {
point = points[i];
r = point[0];
a = point[1] + d3_svg_arcOffset;
point[0] = r * Math.cos(a);
point[1] = r * Math.sin(a);
}
return points;
}
function d3_svg_area(projection) {
var x0 = d3_geom_pointX, x1 = d3_geom_pointX, y0 = 0, y1 = d3_geom_pointY, defined = d3_true, interpolate = d3_svg_lineLinear, interpolateKey = interpolate.key, interpolateReverse = interpolate, L = "L", tension = .7;
function area(data) {
var segments = [], points0 = [], points1 = [], i = -1, n = data.length, d, fx0 = d3_functor(x0), fy0 = d3_functor(y0), fx1 = x0 === x1 ? function() {
return x;
} : d3_functor(x1), fy1 = y0 === y1 ? function() {
return y;
} : d3_functor(y1), x, y;
function segment() {
segments.push("M", interpolate(projection(points1), tension), L, interpolateReverse(projection(points0.reverse()), tension), "Z");
}
while (++i < n) {
if (defined.call(this, d = data[i], i)) {
points0.push([ x = +fx0.call(this, d, i), y = +fy0.call(this, d, i) ]);
points1.push([ +fx1.call(this, d, i), +fy1.call(this, d, i) ]);
} else if (points0.length) {
segment();
points0 = [];
points1 = [];
}
}
if (points0.length) segment();
return segments.length ? segments.join("") : null;
}
area.x = function(_) {
if (!arguments.length) return x1;
x0 = x1 = _;
return area;
};
area.x0 = function(_) {
if (!arguments.length) return x0;
x0 = _;
return area;
};
area.x1 = function(_) {
if (!arguments.length) return x1;
x1 = _;
return area;
};
area.y = function(_) {
if (!arguments.length) return y1;
y0 = y1 = _;
return area;
};
area.y0 = function(_) {
if (!arguments.length) return y0;
y0 = _;
return area;
};
area.y1 = function(_) {
if (!arguments.length) return y1;
y1 = _;
return area;
};
area.defined = function(_) {
if (!arguments.length) return defined;
defined = _;
return area;
};
area.interpolate = function(_) {
if (!arguments.length) return interpolateKey;
if (typeof _ === "function") interpolateKey = interpolate = _; else interpolateKey = (interpolate = d3_svg_lineInterpolators.get(_) || d3_svg_lineLinear).key;
interpolateReverse = interpolate.reverse || interpolate;
L = interpolate.closed ? "M" : "L";
return area;
};
area.tension = function(_) {
if (!arguments.length) return tension;
tension = _;
return area;
};
return area;
}
d3_svg_lineStepBefore.reverse = d3_svg_lineStepAfter;
d3_svg_lineStepAfter.reverse = d3_svg_lineStepBefore;
d3.svg.area = function() {
return d3_svg_area(d3_identity);
};
d3.svg.area.radial = function() {
var area = d3_svg_area(d3_svg_lineRadial);
area.radius = area.x, delete area.x;
area.innerRadius = area.x0, delete area.x0;
area.outerRadius = area.x1, delete area.x1;
area.angle = area.y, delete area.y;
area.startAngle = area.y0, delete area.y0;
area.endAngle = area.y1, delete area.y1;
return area;
};
d3.svg.chord = function() {
var source = d3_source, target = d3_target, radius = d3_svg_chordRadius, startAngle = d3_svg_arcStartAngle, endAngle = d3_svg_arcEndAngle;
function chord(d, i) {
var s = subgroup(this, source, d, i), t = subgroup(this, target, d, i);
return "M" + s.p0 + arc(s.r, s.p1, s.a1 - s.a0) + (equals(s, t) ? curve(s.r, s.p1, s.r, s.p0) : curve(s.r, s.p1, t.r, t.p0) + arc(t.r, t.p1, t.a1 - t.a0) + curve(t.r, t.p1, s.r, s.p0)) + "Z";
}
function subgroup(self, f, d, i) {
var subgroup = f.call(self, d, i), r = radius.call(self, subgroup, i), a0 = startAngle.call(self, subgroup, i) + d3_svg_arcOffset, a1 = endAngle.call(self, subgroup, i) + d3_svg_arcOffset;
return {
r: r,
a0: a0,
a1: a1,
p0: [ r * Math.cos(a0), r * Math.sin(a0) ],
p1: [ r * Math.cos(a1), r * Math.sin(a1) ]
};
}
function equals(a, b) {
return a.a0 == b.a0 && a.a1 == b.a1;
}
function arc(r, p, a) {
return "A" + r + "," + r + " 0 " + +(a > π) + ",1 " + p;
}
function curve(r0, p0, r1, p1) {
return "Q 0,0 " + p1;
}
chord.radius = function(v) {
if (!arguments.length) return radius;
radius = d3_functor(v);
return chord;
};
chord.source = function(v) {
if (!arguments.length) return source;
source = d3_functor(v);
return chord;
};
chord.target = function(v) {
if (!arguments.length) return target;
target = d3_functor(v);
return chord;
};
chord.startAngle = function(v) {
if (!arguments.length) return startAngle;
startAngle = d3_functor(v);
return chord;
};
chord.endAngle = function(v) {
if (!arguments.length) return endAngle;
endAngle = d3_functor(v);
return chord;
};
return chord;
};
function d3_svg_chordRadius(d) {
return d.radius;
}
d3.svg.diagonal = function() {
var source = d3_source, target = d3_target, projection = d3_svg_diagonalProjection;
function diagonal(d, i) {
var p0 = source.call(this, d, i), p3 = target.call(this, d, i), m = (p0.y + p3.y) / 2, p = [ p0, {
x: p0.x,
y: m
}, {
x: p3.x,
y: m
}, p3 ];
p = p.map(projection);
return "M" + p[0] + "C" + p[1] + " " + p[2] + " " + p[3];
}
diagonal.source = function(x) {
if (!arguments.length) return source;
source = d3_functor(x);
return diagonal;
};
diagonal.target = function(x) {
if (!arguments.length) return target;
target = d3_functor(x);
return diagonal;
};
diagonal.projection = function(x) {
if (!arguments.length) return projection;
projection = x;
return diagonal;
};
return diagonal;
};
function d3_svg_diagonalProjection(d) {
return [ d.x, d.y ];
}
d3.svg.diagonal.radial = function() {
var diagonal = d3.svg.diagonal(), projection = d3_svg_diagonalProjection, projection_ = diagonal.projection;
diagonal.projection = function(x) {
return arguments.length ? projection_(d3_svg_diagonalRadialProjection(projection = x)) : projection;
};
return diagonal;
};
function d3_svg_diagonalRadialProjection(projection) {
return function() {
var d = projection.apply(this, arguments), r = d[0], a = d[1] + d3_svg_arcOffset;
return [ r * Math.cos(a), r * Math.sin(a) ];
};
}
d3.svg.symbol = function() {
var type = d3_svg_symbolType, size = d3_svg_symbolSize;
function symbol(d, i) {
return (d3_svg_symbols.get(type.call(this, d, i)) || d3_svg_symbolCircle)(size.call(this, d, i));
}
symbol.type = function(x) {
if (!arguments.length) return type;
type = d3_functor(x);
return symbol;
};
symbol.size = function(x) {
if (!arguments.length) return size;
size = d3_functor(x);
return symbol;
};
return symbol;
};
function d3_svg_symbolSize() {
return 64;
}
function d3_svg_symbolType() {
return "circle";
}
function d3_svg_symbolCircle(size) {
var r = Math.sqrt(size / π);
return "M0," + r + "A" + r + "," + r + " 0 1,1 0," + -r + "A" + r + "," + r + " 0 1,1 0," + r + "Z";
}
var d3_svg_symbols = d3.map({
circle: d3_svg_symbolCircle,
cross: function(size) {
var r = Math.sqrt(size / 5) / 2;
return "M" + -3 * r + "," + -r + "H" + -r + "V" + -3 * r + "H" + r + "V" + -r + "H" + 3 * r + "V" + r + "H" + r + "V" + 3 * r + "H" + -r + "V" + r + "H" + -3 * r + "Z";
},
diamond: function(size) {
var ry = Math.sqrt(size / (2 * d3_svg_symbolTan30)), rx = ry * d3_svg_symbolTan30;
return "M0," + -ry + "L" + rx + ",0" + " 0," + ry + " " + -rx + ",0" + "Z";
},
square: function(size) {
var r = Math.sqrt(size) / 2;
return "M" + -r + "," + -r + "L" + r + "," + -r + " " + r + "," + r + " " + -r + "," + r + "Z";
},
"triangle-down": function(size) {
var rx = Math.sqrt(size / d3_svg_symbolSqrt3), ry = rx * d3_svg_symbolSqrt3 / 2;
return "M0," + ry + "L" + rx + "," + -ry + " " + -rx + "," + -ry + "Z";
},
"triangle-up": function(size) {
var rx = Math.sqrt(size / d3_svg_symbolSqrt3), ry = rx * d3_svg_symbolSqrt3 / 2;
return "M0," + -ry + "L" + rx + "," + ry + " " + -rx + "," + ry + "Z";
}
});
d3.svg.symbolTypes = d3_svg_symbols.keys();
var d3_svg_symbolSqrt3 = Math.sqrt(3), d3_svg_symbolTan30 = Math.tan(30 * d3_radians);
function d3_transition(groups, id) {
d3_subclass(groups, d3_transitionPrototype);
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) {
return arguments.length ? d3_transitionInheritId ? selection.transition() : selection : d3_selectionRoot.transition();
};
d3.transition.prototype = d3_transitionPrototype;
d3_transitionPrototype.select = function(selector) {
var id = this.id, 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, id, node.__transition__[id]);
subgroup.push(subnode);
} else {
subgroup.push(null);
}
}
}
return d3_transition(subgroups, id);
};
d3_transitionPrototype.selectAll = function(selector) {
var id = this.id, 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.__transition__[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, id, transition);
subgroup.push(subnode);
}
}
}
}
return d3_transition(subgroups, 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.id);
};
d3_transitionPrototype.tween = function(name, tween) {
var id = this.id;
if (arguments.length < 2) return this.node().__transition__[id].tween.get(name);
return d3_selection_each(this, tween == null ? function(node) {
node.__transition__[id].tween.remove(name);
} : function(node) {
node.__transition__[id].tween.set(name, tween);
});
};
function d3_transition_tween(groups, name, value, tween) {
var id = groups.id;
return d3_selection_each(groups, typeof value === "function" ? function(node, i, j) {
node.__transition__[id].tween.set(name, tween(value.call(node, node.__data__, i, j)));
} : (value = tween(value), function(node) {
node.__transition__[id].tween.set(name, value);
}));
}
d3_transitionPrototype.attr = function(nameNS, value) {
if (arguments.length < 2) {
for (value in nameNS) this.attr(value, nameNS[value]);
return this;
}
var interpolate = nameNS == "transform" ? d3_interpolateTransform : d3_interpolate, name = d3.ns.qualify(nameNS);
function attrNull() {
this.removeAttribute(name);
}
function attrNullNS() {
this.removeAttributeNS(name.space, name.local);
}
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) {
if (typeof name !== "string") {
if (n < 2) value = "";
for (priority in name) this.style(priority, name[priority], value);
return this;
}
priority = "";
}
function styleNull() {
this.style.removeProperty(name);
}
function styleString(b) {
return b == null ? styleNull : (b += "", function() {
var a = d3_window.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.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() {
return this.each("end.transition", function() {
var p;
if (this.__transition__.count < 2 && (p = this.parentNode)) p.removeChild(this);
});
};
d3_transitionPrototype.ease = function(value) {
var id = this.id;
if (arguments.length < 1) return this.node().__transition__[id].ease;
if (typeof value !== "function") value = d3.ease.apply(d3, arguments);
return d3_selection_each(this, function(node) {
node.__transition__[id].ease = value;
});
};
d3_transitionPrototype.delay = function(value) {
var id = this.id;
if (arguments.length < 1) return this.node().__transition__[id].delay;
return d3_selection_each(this, typeof value === "function" ? function(node, i, j) {
node.__transition__[id].delay = +value.call(node, node.__data__, i, j);
} : (value = +value, function(node) {
node.__transition__[id].delay = value;
}));
};
d3_transitionPrototype.duration = function(value) {
var id = this.id;
if (arguments.length < 1) return this.node().__transition__[id].duration;
return d3_selection_each(this, typeof value === "function" ? function(node, i, j) {
node.__transition__[id].duration = Math.max(1, value.call(node, node.__data__, i, j));
} : (value = Math.max(1, value), function(node) {
node.__transition__[id].duration = value;
}));
};
d3_transitionPrototype.each = function(type, listener) {
var id = this.id;
if (arguments.length < 2) {
var inherit = d3_transitionInherit, inheritId = d3_transitionInheritId;
d3_transitionInheritId = id;
d3_selection_each(this, function(node, i, j) {
d3_transitionInherit = node.__transition__[id];
type.call(node, node.__data__, i, j);
});
d3_transitionInherit = inherit;
d3_transitionInheritId = inheritId;
} else {
d3_selection_each(this, function(node) {
var transition = node.__transition__[id];
(transition.event || (transition.event = d3.dispatch("start", "end"))).on(type, listener);
});
}
return this;
};
d3_transitionPrototype.transition = function() {
var id0 = this.id, id1 = ++d3_transitionId, 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 = Object.create(node.__transition__[id0]);
transition.delay += transition.duration;
d3_transitionNode(node, i, id1, transition);
}
subgroup.push(node);
}
}
return d3_transition(subgroups, id1);
};
function d3_transitionNode(node, i, id, inherit) {
var lock = node.__transition__ || (node.__transition__ = {
active: 0,
count: 0
}), transition = lock[id];
if (!transition) {
var time = inherit.time;
transition = lock[id] = {
tween: new d3_Map(),
time: time,
ease: inherit.ease,
delay: inherit.delay,
duration: inherit.duration
};
++lock.count;
d3.timer(function(elapsed) {
var d = node.__data__, ease = transition.ease, delay = transition.delay, duration = transition.duration, 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();
lock.active = id;
transition.event && transition.event.start.call(node, d, i);
transition.tween.forEach(function(key, value) {
if (value = value.call(node, d, i)) {
tweened.push(value);
}
});
d3.timer(function() {
timer.c = tick(elapsed || 1) ? d3_true : tick;
return 1;
}, 0, time);
}
function tick(elapsed) {
if (lock.active !== id) return stop();
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, d, i);
return stop();
}
}
function stop() {
if (--lock.count) delete lock[id]; else delete node.__transition__;
return 1;
}
}, 0, time);
}
}
d3.svg.axis = function() {
var scale = d3.scale.linear(), orient = d3_svg_axisDefaultOrient, innerTickSize = 6, outerTickSize = 6, tickPadding = 3, tickArguments_ = [ 10 ], tickValues = null, tickFormat_;
function axis(g) {
g.each(function() {
var g = d3.select(this);
var scale0 = this.__chart__ || scale, scale1 = this.__chart__ = scale.copy();
var ticks = tickValues == null ? scale1.ticks ? scale1.ticks.apply(scale1, tickArguments_) : scale1.domain() : tickValues, tickFormat = tickFormat_ == null ? scale1.tickFormat ? scale1.tickFormat.apply(scale1, tickArguments_) : d3_identity : tickFormat_, tick = g.selectAll(".tick").data(ticks, scale1), tickEnter = tick.enter().insert("g", ".domain").attr("class", "tick").style("opacity", ε), tickExit = d3.transition(tick.exit()).style("opacity", ε).remove(), tickUpdate = d3.transition(tick.order()).style("opacity", 1), tickSpacing = Math.max(innerTickSize, 0) + tickPadding, tickTransform;
var range = d3_scaleRange(scale1), path = g.selectAll(".domain").data([ 0 ]), pathUpdate = (path.enter().append("path").attr("class", "domain"),
d3.transition(path));
tickEnter.append("line");
tickEnter.append("text");
var lineEnter = tickEnter.select("line"), lineUpdate = tickUpdate.select("line"), text = tick.select("text").text(tickFormat), textEnter = tickEnter.select("text"), textUpdate = tickUpdate.select("text"), sign = orient === "top" || orient === "left" ? -1 : 1, x1, x2, y1, y2;
if (orient === "bottom" || orient === "top") {
tickTransform = d3_svg_axisX, x1 = "x", y1 = "y", x2 = "x2", y2 = "y2";
text.attr("dy", sign < 0 ? "0em" : ".71em").style("text-anchor", "middle");
pathUpdate.attr("d", "M" + range[0] + "," + sign * outerTickSize + "V0H" + range[1] + "V" + sign * outerTickSize);
} else {
tickTransform = d3_svg_axisY, x1 = "y", y1 = "x", x2 = "y2", y2 = "x2";
text.attr("dy", ".32em").style("text-anchor", sign < 0 ? "end" : "start");
pathUpdate.attr("d", "M" + sign * outerTickSize + "," + range[0] + "H0V" + range[1] + "H" + sign * outerTickSize);
}
lineEnter.attr(y2, sign * innerTickSize);
textEnter.attr(y1, sign * tickSpacing);
lineUpdate.attr(x2, 0).attr(y2, sign * innerTickSize);
textUpdate.attr(x1, 0).attr(y1, sign * tickSpacing);
if (scale1.rangeBand) {
var x = scale1, dx = x.rangeBand() / 2;
scale0 = scale1 = function(d) {
return x(d) + dx;
};
} else if (scale0.rangeBand) {
scale0 = scale1;
} else {
tickExit.call(tickTransform, scale1, scale0);
}
tickEnter.call(tickTransform, scale0, scale1);
tickUpdate.call(tickTransform, scale1, scale1);
});
}
axis.scale = function(x) {
if (!arguments.length) return scale;
scale = x;
return axis;
};
axis.orient = function(x) {
if (!arguments.length) return orient;
orient = x in d3_svg_axisOrients ? x + "" : d3_svg_axisDefaultOrient;
return axis;
};
axis.ticks = function() {
if (!arguments.length) return tickArguments_;
tickArguments_ = arguments;
return axis;
};
axis.tickValues = function(x) {
if (!arguments.length) return tickValues;
tickValues = x;
return axis;
};
axis.tickFormat = function(x) {
if (!arguments.length) return tickFormat_;
tickFormat_ = x;
return axis;
};
axis.tickSize = function(x) {
var n = arguments.length;
if (!n) return innerTickSize;
innerTickSize = +x;
outerTickSize = +arguments[n - 1];
return axis;
};
axis.innerTickSize = function(x) {
if (!arguments.length) return innerTickSize;
innerTickSize = +x;
return axis;
};
axis.outerTickSize = function(x) {
if (!arguments.length) return outerTickSize;
outerTickSize = +x;
return axis;
};
axis.tickPadding = function(x) {
if (!arguments.length) return tickPadding;
tickPadding = +x;
return axis;
};
axis.tickSubdivide = function() {
return arguments.length && axis;
};
return axis;
};
var d3_svg_axisDefaultOrient = "bottom", d3_svg_axisOrients = {
top: 1,
right: 1,
bottom: 1,
left: 1
};
function d3_svg_axisX(selection, x0, x1) {
selection.attr("transform", function(d) {
var v0 = x0(d);
return "translate(" + (isFinite(v0) ? v0 : x1(d)) + ",0)";
});
}
function d3_svg_axisY(selection, y0, y1) {
selection.attr("transform", function(d) {
var v0 = y0(d);
return "translate(0," + (isFinite(v0) ? v0 : y1(d)) + ")";
});
}
d3.svg.brush = function() {
var event = d3_eventDispatch(brush, "brushstart", "brush", "brushend"), x = null, y = null, xExtent = [ 0, 0 ], yExtent = [ 0, 0 ], xExtentDomain, yExtentDomain, xClamp = true, yClamp = true, resizes = d3_svg_brushResizes[0];
function brush(g) {
g.each(function() {
var g = d3.select(this).style("pointer-events", "all").style("-webkit-tap-highlight-color", "rgba(0,0,0,0)").on("mousedown.brush", brushstart).on("touchstart.brush", brushstart);
var background = g.selectAll(".background").data([ 0 ]);
background.enter().append("rect").attr("class", "background").style("visibility", "hidden").style("cursor", "crosshair");
g.selectAll(".extent").data([ 0 ]).enter().append("rect").attr("class", "extent").style("cursor", "move");
var resize = g.selectAll(".resize").data(resizes, d3_identity);
resize.exit().remove();
resize.enter().append("g").attr("class", function(d) {
return "resize " + d;
}).style("cursor", function(d) {
return d3_svg_brushCursor[d];
}).append("rect").attr("x", function(d) {
return /[ew]$/.test(d) ? -3 : null;
}).attr("y", function(d) {
return /^[ns]/.test(d) ? -3 : null;
}).attr("width", 6).attr("height", 6).style("visibility", "hidden");
resize.style("display", brush.empty() ? "none" : null);
var gUpdate = d3.transition(g), backgroundUpdate = d3.transition(background), range;
if (x) {
range = d3_scaleRange(x);
backgroundUpdate.attr("x", range[0]).attr("width", range[1] - range[0]);
redrawX(gUpdate);
}
if (y) {
range = d3_scaleRange(y);
backgroundUpdate.attr("y", range[0]).attr("height", range[1] - range[0]);
redrawY(gUpdate);
}
redraw(gUpdate);
});
}
brush.event = function(g) {
g.each(function() {
var event_ = event.of(this, arguments), extent1 = {
x: xExtent,
y: yExtent,
i: xExtentDomain,
j: yExtentDomain
}, extent0 = this.__chart__ || extent1;
this.__chart__ = extent1;
if (d3_transitionInheritId) {
d3.select(this).transition().each("start.brush", function() {
xExtentDomain = extent0.i;
yExtentDomain = extent0.j;
xExtent = extent0.x;
yExtent = extent0.y;
event_({
type: "brushstart"
});
}).tween("brush:brush", function() {
var xi = d3_interpolateArray(xExtent, extent1.x), yi = d3_interpolateArray(yExtent, extent1.y);
xExtentDomain = yExtentDomain = null;
return function(t) {
xExtent = extent1.x = xi(t);
yExtent = extent1.y = yi(t);
event_({
type: "brush",
mode: "resize"
});
};
}).each("end.brush", function() {
xExtentDomain = extent1.i;
yExtentDomain = extent1.j;
event_({
type: "brush",
mode: "resize"
});
event_({
type: "brushend"
});
});
} else {
event_({
type: "brushstart"
});
event_({
type: "brush",
mode: "resize"
});
event_({
type: "brushend"
});
}
});
};
function redraw(g) {
g.selectAll(".resize").attr("transform", function(d) {
return "translate(" + xExtent[+/e$/.test(d)] + "," + yExtent[+/^s/.test(d)] + ")";
});
}
function redrawX(g) {
g.select(".extent").attr("x", xExtent[0]);
g.selectAll(".extent,.n>rect,.s>rect").attr("width", xExtent[1] - xExtent[0]);
}
function redrawY(g) {
g.select(".extent").attr("y", yExtent[0]);
g.selectAll(".extent,.e>rect,.w>rect").attr("height", yExtent[1] - yExtent[0]);
}
function brushstart() {
var target = this, eventTarget = d3.select(d3.event.target), event_ = event.of(target, arguments), g = d3.select(target), resizing = eventTarget.datum(), resizingX = !/^(n|s)$/.test(resizing) && x, resizingY = !/^(e|w)$/.test(resizing) && y, dragging = eventTarget.classed("extent"), dragRestore = d3_event_dragSuppress(), center, origin = d3.mouse(target), offset;
var w = d3.select(d3_window).on("keydown.brush", keydown).on("keyup.brush", keyup);
if (d3.event.changedTouches) {
w.on("touchmove.brush", brushmove).on("touchend.brush", brushend);
} else {
w.on("mousemove.brush", brushmove).on("mouseup.brush", brushend);
}
g.interrupt().selectAll("*").interrupt();
if (dragging) {
origin[0] = xExtent[0] - origin[0];
origin[1] = yExtent[0] - origin[1];
} else if (resizing) {
var ex = +/w$/.test(resizing), ey = +/^n/.test(resizing);
offset = [ xExtent[1 - ex] - origin[0], yExtent[1 - ey] - origin[1] ];
origin[0] = xExtent[ex];
origin[1] = yExtent[ey];
} else if (d3.event.altKey) center = origin.slice();
g.style("pointer-events", "none").selectAll(".resize").style("display", null);
d3.select("body").style("cursor", eventTarget.style("cursor"));
event_({
type: "brushstart"
});
brushmove();
function keydown() {
if (d3.event.keyCode == 32) {
if (!dragging) {
center = null;
origin[0] -= xExtent[1];
origin[1] -= yExtent[1];
dragging = 2;
}
d3_eventPreventDefault();
}
}
function keyup() {
if (d3.event.keyCode == 32 && dragging == 2) {
origin[0] += xExtent[1];
origin[1] += yExtent[1];
dragging = 0;
d3_eventPreventDefault();
}
}
function brushmove() {
var point = d3.mouse(target), moved = false;
if (offset) {
point[0] += offset[0];
point[1] += offset[1];
}
if (!dragging) {
if (d3.event.altKey) {
if (!center) center = [ (xExtent[0] + xExtent[1]) / 2, (yExtent[0] + yExtent[1]) / 2 ];
origin[0] = xExtent[+(point[0] < center[0])];
origin[1] = yExtent[+(point[1] < center[1])];
} else center = null;
}
if (resizingX && move1(point, x, 0)) {
redrawX(g);
moved = true;
}
if (resizingY && move1(point, y, 1)) {
redrawY(g);
moved = true;
}
if (moved) {
redraw(g);
event_({
type: "brush",
mode: dragging ? "move" : "resize"
});
}
}
function move1(point, scale, i) {
var range = d3_scaleRange(scale), r0 = range[0], r1 = range[1], position = origin[i], extent = i ? yExtent : xExtent, size = extent[1] - extent[0], min, max;
if (dragging) {
r0 -= position;
r1 -= size + position;
}
min = (i ? yClamp : xClamp) ? Math.max(r0, Math.min(r1, point[i])) : point[i];
if (dragging) {
max = (min += position) + size;
} else {
if (center) position = Math.max(r0, Math.min(r1, 2 * center[i] - min));
if (position < min) {
max = min;
min = position;
} else {
max = position;
}
}
if (extent[0] != min || extent[1] != max) {
if (i) yExtentDomain = null; else xExtentDomain = null;
extent[0] = min;
extent[1] = max;
return true;
}
}
function brushend() {
brushmove();
g.style("pointer-events", "all").selectAll(".resize").style("display", brush.empty() ? "none" : null);
d3.select("body").style("cursor", null);
w.on("mousemove.brush", null).on("mouseup.brush", null).on("touchmove.brush", null).on("touchend.brush", null).on("keydown.brush", null).on("keyup.brush", null);
dragRestore();
event_({
type: "brushend"
});
}
}
brush.x = function(z) {
if (!arguments.length) return x;
x = z;
resizes = d3_svg_brushResizes[!x << 1 | !y];
return brush;
};
brush.y = function(z) {
if (!arguments.length) return y;
y = z;
resizes = d3_svg_brushResizes[!x << 1 | !y];
return brush;
};
brush.clamp = function(z) {
if (!arguments.length) return x && y ? [ xClamp, yClamp ] : x ? xClamp : y ? yClamp : null;
if (x && y) xClamp = !!z[0], yClamp = !!z[1]; else if (x) xClamp = !!z; else if (y) yClamp = !!z;
return brush;
};
brush.extent = function(z) {
var x0, x1, y0, y1, t;
if (!arguments.length) {
if (x) {
if (xExtentDomain) {
x0 = xExtentDomain[0], x1 = xExtentDomain[1];
} else {
x0 = xExtent[0], x1 = xExtent[1];
if (x.invert) x0 = x.invert(x0), x1 = x.invert(x1);
if (x1 < x0) t = x0, x0 = x1, x1 = t;
}
}
if (y) {
if (yExtentDomain) {
y0 = yExtentDomain[0], y1 = yExtentDomain[1];
} else {
y0 = yExtent[0], y1 = yExtent[1];
if (y.invert) y0 = y.invert(y0), y1 = y.invert(y1);
if (y1 < y0) t = y0, y0 = y1, y1 = t;
}
}
return x && y ? [ [ x0, y0 ], [ x1, y1 ] ] : x ? [ x0, x1 ] : y && [ y0, y1 ];
}
if (x) {
x0 = z[0], x1 = z[1];
if (y) x0 = x0[0], x1 = x1[0];
xExtentDomain = [ x0, x1 ];
if (x.invert) x0 = x(x0), x1 = x(x1);
if (x1 < x0) t = x0, x0 = x1, x1 = t;
if (x0 != xExtent[0] || x1 != xExtent[1]) xExtent = [ x0, x1 ];
}
if (y) {
y0 = z[0], y1 = z[1];
if (x) y0 = y0[1], y1 = y1[1];
yExtentDomain = [ y0, y1 ];
if (y.invert) y0 = y(y0), y1 = y(y1);
if (y1 < y0) t = y0, y0 = y1, y1 = t;
if (y0 != yExtent[0] || y1 != yExtent[1]) yExtent = [ y0, y1 ];
}
return brush;
};
brush.clear = function() {
if (!brush.empty()) {
xExtent = [ 0, 0 ], yExtent = [ 0, 0 ];
xExtentDomain = yExtentDomain = null;
}
return brush;
};
brush.empty = function() {
return !!x && xExtent[0] == xExtent[1] || !!y && yExtent[0] == yExtent[1];
};
return d3.rebind(brush, event, "on");
};
var d3_svg_brushCursor = {
n: "ns-resize",
e: "ew-resize",
s: "ns-resize",
w: "ew-resize",
nw: "nwse-resize",
ne: "nesw-resize",
se: "nwse-resize",
sw: "nesw-resize"
};
var d3_svg_brushResizes = [ [ "n", "e", "s", "w", "nw", "ne", "se", "sw" ], [ "e", "w" ], [ "n", "s" ], [] ];
var d3_time_format = d3_time.format = d3_locale_enUS.timeFormat;
var d3_time_formatUtc = d3_time_format.utc;
var d3_time_formatIso = d3_time_formatUtc("%Y-%m-%dT%H:%M:%S.%LZ");
d3_time_format.iso = Date.prototype.toISOString && +new Date("2000-01-01T00:00:00.000Z") ? d3_time_formatIsoNative : d3_time_formatIso;
function d3_time_formatIsoNative(date) {
return date.toISOString();
}
d3_time_formatIsoNative.parse = function(string) {
var date = new Date(string);
return isNaN(date) ? null : date;
};
d3_time_formatIsoNative.toString = d3_time_formatIso.toString;
d3_time.second = d3_time_interval(function(date) {
return new d3_date(Math.floor(date / 1e3) * 1e3);
}, function(date, offset) {
date.setTime(date.getTime() + Math.floor(offset) * 1e3);
}, function(date) {
return date.getSeconds();
});
d3_time.seconds = d3_time.second.range;
d3_time.seconds.utc = d3_time.second.utc.range;
d3_time.minute = d3_time_interval(function(date) {
return new d3_date(Math.floor(date / 6e4) * 6e4);
}, function(date, offset) {
date.setTime(date.getTime() + Math.floor(offset) * 6e4);
}, function(date) {
return date.getMinutes();
});
d3_time.minutes = d3_time.minute.range;
d3_time.minutes.utc = d3_time.minute.utc.range;
d3_time.hour = d3_time_interval(function(date) {
var timezone = date.getTimezoneOffset() / 60;
return new d3_date((Math.floor(date / 36e5 - timezone) + timezone) * 36e5);
}, function(date, offset) {
date.setTime(date.getTime() + Math.floor(offset) * 36e5);
}, function(date) {
return date.getHours();
});
d3_time.hours = d3_time.hour.range;
d3_time.hours.utc = d3_time.hour.utc.range;
d3_time.month = d3_time_interval(function(date) {
date = d3_time.day(date);
date.setDate(1);
return date;
}, function(date, offset) {
date.setMonth(date.getMonth() + offset);
}, function(date) {
return date.getMonth();
});
d3_time.months = d3_time.month.range;
d3_time.months.utc = d3_time.month.utc.range;
function d3_time_scale(linear, methods, format) {
function scale(x) {
return linear(x);
}
scale.invert = function(x) {
return d3_time_scaleDate(linear.invert(x));
};
scale.domain = function(x) {
if (!arguments.length) return linear.domain().map(d3_time_scaleDate);
linear.domain(x);
return scale;
};
function tickMethod(extent, count) {
var span = extent[1] - extent[0], target = span / count, i = d3.bisect(d3_time_scaleSteps, target);
return i == d3_time_scaleSteps.length ? [ methods.year, d3_scale_linearTickRange(extent.map(function(d) {
return d / 31536e6;
}), count)[2] ] : !i ? [ d3_time_scaleMilliseconds, d3_scale_linearTickRange(extent, count)[2] ] : methods[target / d3_time_scaleSteps[i - 1] < d3_time_scaleSteps[i] / target ? i - 1 : i];
}
scale.nice = function(interval, skip) {
var domain = scale.domain(), extent = d3_scaleExtent(domain), method = interval == null ? tickMethod(extent, 10) : typeof interval === "number" && tickMethod(extent, interval);
if (method) interval = method[0], skip = method[1];
function skipped(date) {
return !isNaN(date) && !interval.range(date, d3_time_scaleDate(+date + 1), skip).length;
}
return scale.domain(d3_scale_nice(domain, skip > 1 ? {
floor: function(date) {
while (skipped(date = interval.floor(date))) date = d3_time_scaleDate(date - 1);
return date;
},
ceil: function(date) {
while (skipped(date = interval.ceil(date))) date = d3_time_scaleDate(+date + 1);
return date;
}
} : interval));
};
scale.ticks = function(interval, skip) {
var extent = d3_scaleExtent(scale.domain()), method = interval == null ? tickMethod(extent, 10) : typeof interval === "number" ? tickMethod(extent, interval) : !interval.range && [ {
range: interval
}, skip ];
if (method) interval = method[0], skip = method[1];
return interval.range(extent[0], d3_time_scaleDate(+extent[1] + 1), skip < 1 ? 1 : skip);
};
scale.tickFormat = function() {
return format;
};
scale.copy = function() {
return d3_time_scale(linear.copy(), methods, format);
};
return d3_scale_linearRebind(scale, linear);
}
function d3_time_scaleDate(t) {
return new Date(t);
}
var d3_time_scaleSteps = [ 1e3, 5e3, 15e3, 3e4, 6e4, 3e5, 9e5, 18e5, 36e5, 108e5, 216e5, 432e5, 864e5, 1728e5, 6048e5, 2592e6, 7776e6, 31536e6 ];
var d3_time_scaleLocalMethods = [ [ d3_time.second, 1 ], [ d3_time.second, 5 ], [ d3_time.second, 15 ], [ d3_time.second, 30 ], [ d3_time.minute, 1 ], [ d3_time.minute, 5 ], [ d3_time.minute, 15 ], [ d3_time.minute, 30 ], [ d3_time.hour, 1 ], [ d3_time.hour, 3 ], [ d3_time.hour, 6 ], [ d3_time.hour, 12 ], [ d3_time.day, 1 ], [ d3_time.day, 2 ], [ d3_time.week, 1 ], [ d3_time.month, 1 ], [ d3_time.month, 3 ], [ d3_time.year, 1 ] ];
var d3_time_scaleLocalFormat = d3_time_format.multi([ [ ".%L", function(d) {
return d.getMilliseconds();
} ], [ ":%S", function(d) {
return d.getSeconds();
} ], [ "%I:%M", function(d) {
return d.getMinutes();
} ], [ "%I %p", function(d) {
return d.getHours();
} ], [ "%a %d", function(d) {
return d.getDay() && d.getDate() != 1;
} ], [ "%b %d", function(d) {
return d.getDate() != 1;
} ], [ "%B", function(d) {
return d.getMonth();
} ], [ "%Y", d3_true ] ]);
var d3_time_scaleMilliseconds = {
range: function(start, stop, step) {
return d3.range(Math.ceil(start / step) * step, +stop, step).map(d3_time_scaleDate);
},
floor: d3_identity,
ceil: d3_identity
};
d3_time_scaleLocalMethods.year = d3_time.year;
d3_time.scale = function() {
return d3_time_scale(d3.scale.linear(), d3_time_scaleLocalMethods, d3_time_scaleLocalFormat);
};
var d3_time_scaleUtcMethods = d3_time_scaleLocalMethods.map(function(m) {
return [ m[0].utc, m[1] ];
});
var d3_time_scaleUtcFormat = d3_time_formatUtc.multi([ [ ".%L", function(d) {
return d.getUTCMilliseconds();
} ], [ ":%S", function(d) {
return d.getUTCSeconds();
} ], [ "%I:%M", function(d) {
return d.getUTCMinutes();
} ], [ "%I %p", function(d) {
return d.getUTCHours();
} ], [ "%a %d", function(d) {
return d.getUTCDay() && d.getUTCDate() != 1;
} ], [ "%b %d", function(d) {
return d.getUTCDate() != 1;
} ], [ "%B", function(d) {
return d.getUTCMonth();
} ], [ "%Y", d3_true ] ]);
d3_time_scaleUtcMethods.year = d3_time.year.utc;
d3_time.scale.utc = function() {
return d3_time_scale(d3.scale.linear(), d3_time_scaleUtcMethods, d3_time_scaleUtcFormat);
};
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;
}();
},{}],2:[function(require,module,exports){
/**
* @license
* Copyright (c) 2012-2013 Chris Pettitt
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in
* all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
* THE SOFTWARE.
*/
module.exports = {
graphlib: require("./lib/graphlib"),
dagre: require("./lib/dagre"),
intersect: require("./lib/intersect"),
render: require("./lib/render"),
util: require("./lib/util"),
version: require("./lib/version")
};
},{"./lib/dagre":9,"./lib/graphlib":10,"./lib/intersect":11,"./lib/render":24,"./lib/util":26,"./lib/version":27}],3:[function(require,module,exports){
var util = require("./util");
module.exports = {
"default": normal,
"normal": normal,
"vee": vee,
"undirected": undirected
};
function normal(parent, id, edge, type) {
var marker = parent.append("marker")
.attr("id", id)
.attr("viewBox", "0 0 10 10")
.attr("refX", 9)
.attr("refY", 5)
.attr("markerUnits", "strokeWidth")
.attr("markerWidth", 8)
.attr("markerHeight", 6)
.attr("orient", "auto");
var path = marker.append("path")
.attr("d", "M 0 0 L 10 5 L 0 10 z")
.style("stroke-width", 1)
.style("stroke-dasharray", "1,0");
util.applyStyle(path, edge[type + "Style"]);
}
function vee(parent, id, edge, type) {
var marker = parent.append("marker")
.attr("id", id)
.attr("viewBox", "0 0 10 10")
.attr("refX", 9)
.attr("refY", 5)
.attr("markerUnits", "strokeWidth")
.attr("markerWidth", 8)
.attr("markerHeight", 6)
.attr("orient", "auto");
var path = marker.append("path")
.attr("d", "M 0 0 L 10 5 L 0 10 L 4 5 z")
.style("stroke-width", 1)
.style("stroke-dasharray", "1,0");
util.applyStyle(path, edge[type + "Style"]);
}
function undirected(parent, id, edge, type) {
var marker = parent.append("marker")
.attr("id", id)
.attr("viewBox", "0 0 10 10")
.attr("refX", 9)
.attr("refY", 5)
.attr("markerUnits", "strokeWidth")
.attr("markerWidth", 8)
.attr("markerHeight", 6)
.attr("orient", "auto");
var path = marker.append("path")
.attr("d", "M 0 5 L 10 5")
.style("stroke-width", 1)
.style("stroke-dasharray", "1,0");
util.applyStyle(path, edge[type + "Style"]);
}
},{"./util":26}],4:[function(require,module,exports){
var util = require("./util");
module.exports = createClusters;
function createClusters(selection, g) {
var clusters = g.nodes().filter(function(v) { return util.isSubgraph(g, v); }),
svgClusters = selection.selectAll("g.cluster")
.data(clusters, function(v) { return v; });
svgClusters.enter()
.append("g")
.attr("class", "cluster")
.style("opacity", 0)
.append("rect");
util.applyTransition(svgClusters.exit(), g)
.style("opacity", 0)
.remove();
util.applyTransition(svgClusters, g)
.style("opacity", 1);
util.applyTransition(svgClusters.selectAll("rect"), g)
.attr("width", function(v) { return g.node(v).width; })
.attr("height", function(v) { return g.node(v).height; })
.attr("x", function(v) {
var node = g.node(v);
return node.x - node.width / 2;
})
.attr("y", function(v) {
var node = g.node(v);
return node.y - node.height / 2;
});
}
},{"./util":26}],5:[function(require,module,exports){
"use strict";
var _ = require("./lodash"),
addLabel = require("./label/add-label"),
util = require("./util"),
d3 = require("./d3");
module.exports = createEdgeLabels;
function createEdgeLabels(selection, g) {
var svgEdgeLabels = selection.selectAll("g.edgeLabel")
.data(g.edges(), function(e) { return util.edgeToId(e); })
.classed("update", true);
svgEdgeLabels.selectAll("*").remove();
svgEdgeLabels.enter()
.append("g")
.classed("edgeLabel", true)
.style("opacity", 0);
svgEdgeLabels.each(function(e) {
var edge = g.edge(e),
label = addLabel(d3.select(this), g.edge(e), 0, 0).classed("label", true),
bbox = label.node().getBBox();
if (edge.labelId) { label.attr("id", edge.labelId); }
if (!_.has(edge, "width")) { edge.width = bbox.width; }
if (!_.has(edge, "height")) { edge.height = bbox.height; }
});
util.applyTransition(svgEdgeLabels.exit(), g)
.style("opacity", 0)
.remove();
return svgEdgeLabels;
}
},{"./d3":8,"./label/add-label":19,"./lodash":21,"./util":26}],6:[function(require,module,exports){
"use strict";
var _ = require("./lodash"),
intersectNode = require("./intersect/intersect-node"),
util = require("./util"),
d3 = require("./d3");
module.exports = createEdgePaths;
function createEdgePaths(selection, g, arrows) {
var svgPaths = selection.selectAll("g.edgePath")
.data(g.edges(), function(e) { return util.edgeToId(e); })
.classed("update", true);
enter(svgPaths, g);
exit(svgPaths, g);
util.applyTransition(svgPaths, g)
.style("opacity", 1);
// Save DOM element in the path group, and set ID
svgPaths.each(function(e) {
var edge = g.edge(e);
edge.elem = this;
if (edge.id) {
d3.select(this).attr("id", edge.id);
}
});
svgPaths.selectAll("path.path")
.each(function(e) {
var edge = g.edge(e);
edge.arrowheadId = _.uniqueId("arrowhead");
var domEdge = d3.select(this)
.attr("marker-end", function() {
return "url(#" + edge.arrowheadId + ")";
})
.style("fill", "none");
util.applyTransition(domEdge, g)
.attr("d", function(e) { return calcPoints(g, e); });
util.applyStyle(domEdge, edge.style);
});
svgPaths.selectAll("defs *").remove();
svgPaths.selectAll("defs")
.each(function(e) {
var edge = g.edge(e),
arrowhead = arrows[edge.arrowhead];
arrowhead(d3.select(this), edge.arrowheadId, edge, "arrowhead");
});
return svgPaths;
}
function calcPoints(g, e) {
var edge = g.edge(e),
tail = g.node(e.v),
head = g.node(e.w),
points = edge.points.slice(1, edge.points.length - 1);
points.unshift(intersectNode(tail, points[0]));
points.push(intersectNode(head, points[points.length - 1]));
return createLine(edge, points);
}
function createLine(edge, points) {
var line = d3.svg.line()
.x(function(d) { return d.x; })
.y(function(d) { return d.y; });
if (_.has(edge, "lineInterpolate")) {
line.interpolate(edge.lineInterpolate);
}
if (_.has(edge, "lineTension")) {
line.tension(Number(edge.lineTension));
}
return line(points);
}
function getCoords(elem) {
var bbox = elem.getBBox(),
matrix = elem.getTransformToElement(elem.ownerSVGElement)
.translate(bbox.width / 2, bbox.height / 2);
return { x: matrix.e, y: matrix.f };
}
function enter(svgPaths, g) {
var svgPathsEnter = svgPaths.enter()
.append("g")
.attr("class", "edgePath")
.style("opacity", 0);
svgPathsEnter.append("path")
.attr("class", "path")
.attr("d", function(e) {
var edge = g.edge(e),
sourceElem = g.node(e.v).elem,
points = _.range(edge.points.length).map(function() { return getCoords(sourceElem); });
return createLine(edge, points);
});
svgPathsEnter.append("defs");
}
function exit(svgPaths, g) {
var svgPathExit = svgPaths.exit();
util.applyTransition(svgPathExit, g)
.style("opacity", 0)
.remove();
util.applyTransition(svgPathExit.select("path.path"), g)
.attr("d", function(e) {
var source = g.node(e.v);
if (source) {
var points = _.range(this.pathSegList.length).map(function() { return source; });
return createLine({}, points);
} else {
return d3.select(this).attr("d");
}
});
}
},{"./d3":8,"./intersect/intersect-node":15,"./lodash":21,"./util":26}],7:[function(require,module,exports){
"use strict";
var _ = require("./lodash"),
addLabel = require("./label/add-label"),
util = require("./util"),
d3 = require("./d3");
module.exports = createNodes;
function createNodes(selection, g, shapes) {
var simpleNodes = g.nodes().filter(function(v) { return !util.isSubgraph(g, v); });
var svgNodes = selection.selectAll("g.node")
.data(simpleNodes, function(v) { return v; })
.classed("update", true);
svgNodes.selectAll("*").remove();
svgNodes.enter()
.append("g")
.attr("class", "node")
.style("opacity", 0);
svgNodes.each(function(v) {
var node = g.node(v),
thisGroup = d3.select(this),
labelGroup = thisGroup.append("g").attr("class", "label"),
labelDom = addLabel(labelGroup, node),
shape = shapes[node.shape],
bbox = _.pick(labelDom.node().getBBox(), "width", "height");
node.elem = this;
if (node.id) { thisGroup.attr("id", node.id); }
if (node.labelId) { labelGroup.attr("id", node.labelId); }
util.applyClass(thisGroup, node["class"],
(thisGroup.classed("update") ? "update " : "") + "node");
if (_.has(node, "width")) { bbox.width = node.width; }
if (_.has(node, "height")) { bbox.height = node.height; }
bbox.width += node.paddingLeft + node.paddingRight;
bbox.height += node.paddingTop + node.paddingBottom;
labelGroup.attr("transform", "translate(" +
((node.paddingLeft - node.paddingRight) / 2) + "," +
((node.paddingTop - node.paddingBottom) / 2) + ")");
var shapeSvg = shape(d3.select(this), bbox, node);
util.applyStyle(shapeSvg, node.style);
var shapeBBox = shapeSvg.node().getBBox();
node.width = shapeBBox.width;
node.height = shapeBBox.height;
});
util.applyTransition(svgNodes.exit(), g)
.style("opacity", 0)
.remove();
return svgNodes;
}
},{"./d3":8,"./label/add-label":19,"./lodash":21,"./util":26}],8:[function(require,module,exports){
// Stub to get D3 either via NPM or from the global object
module.exports = window.d3;
},{}],9:[function(require,module,exports){
/* global window */
var dagre;
if (require) {
try {
dagre = require("dagre");
} catch (e) {}
}
if (!dagre) {
dagre = window.dagre;
}
module.exports = dagre;
},{"dagre":28}],10:[function(require,module,exports){
/* global window */
var graphlib;
if (require) {
try {
graphlib = require("graphlib");
} catch (e) {}
}
if (!graphlib) {
graphlib = window.graphlib;
}
module.exports = graphlib;
},{"graphlib":58}],11:[function(require,module,exports){
module.exports = {
node: require("./intersect-node"),
circle: require("./intersect-circle"),
ellipse: require("./intersect-ellipse"),
polygon: require("./intersect-polygon"),
rect: require("./intersect-rect")
};
},{"./intersect-circle":12,"./intersect-ellipse":13,"./intersect-node":15,"./intersect-polygon":16,"./intersect-rect":17}],12:[function(require,module,exports){
var intersectEllipse = require("./intersect-ellipse");
module.exports = intersectCircle;
function intersectCircle(node, rx, point) {
return intersectEllipse(node, rx, rx, point);
}
},{"./intersect-ellipse":13}],13:[function(require,module,exports){
module.exports = intersectEllipse;
function intersectEllipse(node, rx, ry, point) {
// Formulae from: http://mathworld.wolfram.com/Ellipse-LineIntersection.html
var cx = node.x;
var cy = node.y;
var px = cx - point.x;
var py = cy - point.y;
var det = Math.sqrt(rx * rx * py * py + ry * ry * px * px);
var dx = Math.abs(rx * ry * px / det);
if (point.x < cx) {
dx = -dx;
}
var dy = Math.abs(rx * ry * py / det);
if (point.y < cy) {
dy = -dy;
}
return {x: cx + dx, y: cy + dy};
}
},{}],14:[function(require,module,exports){
module.exports = intersectLine;
/*
* Returns the point at which two lines, p and q, intersect or returns
* undefined if they do not intersect.
*/
function intersectLine(p1, p2, q1, q2) {
// Algorithm from J. Avro, (ed.) Graphics Gems, No 2, Morgan Kaufmann, 1994,
// p7 and p473.
var a1, a2, b1, b2, c1, c2;
var r1, r2 , r3, r4;
var denom, offset, num;
var x, y;
// Compute a1, b1, c1, where line joining points 1 and 2 is F(x,y) = a1 x +
// b1 y + c1 = 0.
a1 = p2.y - p1.y;
b1 = p1.x - p2.x;
c1 = (p2.x * p1.y) - (p1.x * p2.y);
// Compute r3 and r4.
r3 = ((a1 * q1.x) + (b1 * q1.y) + c1);
r4 = ((a1 * q2.x) + (b1 * q2.y) + c1);
// Check signs of r3 and r4. If both point 3 and point 4 lie on
// same side of line 1, the line segments do not intersect.
if ((r3 !== 0) && (r4 !== 0) && sameSign(r3, r4)) {
return /*DONT_INTERSECT*/;
}
// Compute a2, b2, c2 where line joining points 3 and 4 is G(x,y) = a2 x + b2 y + c2 = 0
a2 = q2.y - q1.y;
b2 = q1.x - q2.x;
c2 = (q2.x * q1.y) - (q1.x * q2.y);
// Compute r1 and r2
r1 = (a2 * p1.x) + (b2 * p1.yy) + c2;
r2 = (a2 * p2.x) + (b2 * p2.y) + c2;
// Check signs of r1 and r2. If both point 1 and point 2 lie
// on same side of second line segment, the line segments do
// not intersect.
if ((r1 !== 0) && (r2 !== 0) && (sameSign(r1, r2))) {
return /*DONT_INTERSECT*/;
}
// Line segments intersect: compute intersection point.
denom = (a1 * b2) - (a2 * b1);
if (denom === 0) {
return /*COLLINEAR*/;
}
offset = Math.abs(denom / 2);
// The denom/2 is to get rounding instead of truncating. It
// is added or subtracted to the numerator, depending upon the
// sign of the numerator.
num = (b1 * c2) - (b2 * c1);
x = (num < 0) ? ((num - offset) / denom) : ((num + offset) / denom);
num = (a2 * c1) - (a1 * c2);
y = (num < 0) ? ((num - offset) / denom) : ((num + offset) / denom);
return { x: x, y: y };
}
function sameSign(r1, r2) {
return r1 * r2 > 0;
}
},{}],15:[function(require,module,exports){
module.exports = intersectNode;
function intersectNode(node, point) {
return node.intersect(point);
}
},{}],16:[function(require,module,exports){
var intersectLine = require("./intersect-line");
module.exports = intersectPolygon;
/*
* Returns the point ({x, y}) at which the point argument intersects with the
* node argument assuming that it has the shape specified by polygon.
*/
function intersectPolygon(node, polyPoints, point) {
var x1 = node.x;
var y1 = node.y;
var intersections = [];
var minX = Number.POSITIVE_INFINITY,
minY = Number.POSITIVE_INFINITY;
polyPoints.forEach(function(entry) {
minX = Math.min(minX, entry.x);
minY = Math.min(minY, entry.y);
});
var left = x1 - node.width / 2 - minX;
var top = y1 - node.height / 2 - minY;
for (var i = 0; i < polyPoints.length; i++) {
var p1 = polyPoints[i];
var p2 = polyPoints[i < polyPoints.length - 1 ? i + 1 : 0];
var intersect = intersectLine(node, point,
{x: left + p1.x, y: top + p1.y}, {x: left + p2.x, y: top + p2.y});
if (intersect) {
intersections.push(intersect);
}
}
if (!intersections.length) {
console.log("NO INTERSECTION FOUND, RETURN NODE CENTER", node);
return node;
}
if (intersections.length > 1) {
// More intersections, find the one nearest to edge end point
intersections.sort(function(p, q) {
var pdx = p.x - point.x,
pdy = p.y - point.y,
distp = Math.sqrt(pdx * pdx + pdy * pdy),
qdx = q.x - point.x,
qdy = q.y - point.y,
distq = Math.sqrt(qdx * qdx + qdy * qdy);
return (distp < distq) ? -1 : (distp === distq ? 0 : 1);
});
}
return intersections[0];
}
},{"./intersect-line":14}],17:[function(require,module,exports){
module.exports = intersectRect;
function intersectRect(node, point) {
var x = node.x;
var y = node.y;
// Rectangle intersection algorithm from:
// http://math.stackexchange.com/questions/108113/find-edge-between-two-boxes
var dx = point.x - x;
var dy = point.y - y;
var w = node.width / 2;
var h = node.height / 2;
var sx, sy;
if (Math.abs(dy) * w > Math.abs(dx) * h) {
// Intersection is top or bottom of rect.
if (dy < 0) {
h = -h;
}
sx = dy === 0 ? 0 : h * dx / dy;
sy = h;
} else {
// Intersection is left or right of rect.
if (dx < 0) {
w = -w;
}
sx = w;
sy = dx === 0 ? 0 : w * dy / dx;
}
return {x: x + sx, y: y + sy};
}
},{}],18:[function(require,module,exports){
var util = require("../util");
module.exports = addHtmlLabel;
function addHtmlLabel(root, node) {
var fo = root
.append("foreignObject")
.attr("width", "100000");
var div = fo
.append("xhtml:div");
var label = node.label;
switch(typeof label) {
case "function":
div.insert(label);
break;
case "object":
// Currently we assume this is a DOM object.
div.insert(function() { return label; });
break;
default: div.html(label);
}
util.applyStyle(div, node.labelStyle);
div.style("display", "inline-block");
// Fix for firefox
div.style("white-space", "nowrap");
// TODO find a better way to get dimensions for foreignObjects...
var w, h;
div
.each(function() {
w = this.clientWidth;
h = this.clientHeight;
});
fo
.attr("width", w)
.attr("height", h);
return fo;
}
},{"../util":26}],19:[function(require,module,exports){
var addTextLabel = require("./add-text-label"),
addHtmlLabel = require("./add-html-label");
module.exports = addLabel;
function addLabel(root, node) {
var label = node.label;
var labelSvg = root.append("g");
// Allow the label to be a string, a function that returns a DOM element, or
// a DOM element itself.
if (typeof label !== "string" || node.labelType === "html") {
addHtmlLabel(labelSvg, node);
} else {
addTextLabel(labelSvg, node);
}
var labelBBox = labelSvg.node().getBBox();
labelSvg.attr("transform",
"translate(" + (-labelBBox.width / 2) + "," + (-labelBBox.height / 2) + ")");
return labelSvg;
}
},{"./add-html-label":18,"./add-text-label":20}],20:[function(require,module,exports){
var util = require("../util");
module.exports = addTextLabel;
/*
* Attaches a text label to the specified root. Handles escape sequences.
*/
function addTextLabel(root, node) {
var domNode = root.append("text");
var lines = processEscapeSequences(node.label).split("\n");
for (var i = 0; i < lines.length; i++) {
domNode
.append("tspan")
.attr("xml:space", "preserve")
.attr("dy", "1em")
.attr("x", "1")
.text(lines[i]);
}
util.applyStyle(domNode, node.labelStyle);
return domNode;
}
function processEscapeSequences(text) {
var newText = "",
escaped = false,
ch;
for (var i = 0; i < text.length; ++i) {
ch = text[i];
if (escaped) {
switch(ch) {
case "n": newText += "\n"; break;
default: newText += ch;
}
escaped = false;
} else if (ch === "\\") {
escaped = true;
} else {
newText += ch;
}
}
return newText;
}
},{"../util":26}],21:[function(require,module,exports){
/* global window */
var lodash;
if (require) {
try {
lodash = require("lodash");
} catch (e) {}
}
if (!lodash) {
lodash = window._;
}
module.exports = lodash;
},{"lodash":82}],22:[function(require,module,exports){
"use strict";
var util = require("./util"),
d3 = require("./d3"),
_ = require("./lodash");
module.exports = positionEdgeLabels;
function positionEdgeLabels(selection, g) {
var created = selection.filter(function() { return !d3.select(this).classed("update"); });
function translate(e) {
var edge = g.edge(e);
return _.has(edge, "x") ? "translate(" + edge.x + "," + edge.y + ")" : "";
}
created.attr("transform", translate);
util.applyTransition(selection, g)
.style("opacity", 1)
.attr("transform", translate);
}
},{"./d3":8,"./lodash":21,"./util":26}],23:[function(require,module,exports){
"use strict";
var util = require("./util"),
d3 = require("./d3");
module.exports = positionNodes;
function positionNodes(selection, g) {
var created = selection.filter(function() { return !d3.select(this).classed("update"); });
function translate(v) {
var node = g.node(v);
return "translate(" + node.x + "," + node.y + ")";
}
created.attr("transform", translate);
util.applyTransition(selection, g)
.style("opacity", 1)
.attr("transform", translate);
}
},{"./d3":8,"./util":26}],24:[function(require,module,exports){
var _ = require("./lodash"),
layout = require("./dagre").layout;
module.exports = render;
// This design is based on http://bost.ocks.org/mike/chart/.
function render() {
var createNodes = require("./create-nodes"),
createClusters = require("./create-clusters"),
createEdgeLabels = require("./create-edge-labels"),
createEdgePaths = require("./create-edge-paths"),
positionNodes = require("./position-nodes"),
positionEdgeLabels = require("./position-edge-labels"),
shapes = require("./shapes"),
arrows = require("./arrows");
var fn = function(svg, g) {
preProcessGraph(g);
var outputGroup = createOrSelectGroup(svg, "output"),
clustersGroup = createOrSelectGroup(outputGroup, "clusters"),
edgePathsGroup = createOrSelectGroup(outputGroup, "edgePaths"),
edgeLabels = createEdgeLabels(createOrSelectGroup(outputGroup, "edgeLabels"), g),
nodes = createNodes(createOrSelectGroup(outputGroup, "nodes"), g, shapes);
layout(g);
positionNodes(nodes, g);
positionEdgeLabels(edgeLabels, g);
createEdgePaths(edgePathsGroup, g, arrows);
createClusters(clustersGroup, g);
postProcessGraph(g);
};
fn.createNodes = function(value) {
if (!arguments.length) return createNodes;
createNodes = value;
return fn;
};
fn.createClusters = function(value) {
if (!arguments.length) return createClusters;
createClusters = value;
return fn;
};
fn.createEdgeLabels = function(value) {
if (!arguments.length) return createEdgeLabels;
createEdgeLabels = value;
return fn;
};
fn.createEdgePaths = function(value) {
if (!arguments.length) return createEdgePaths;
createEdgePaths = value;
return fn;
};
fn.shapes = function(value) {
if (!arguments.length) return shapes;
shapes = value;
return fn;
};
fn.arrows = function(value) {
if (!arguments.length) return arrows;
arrows = value;
return fn;
};
return fn;
}
var NODE_DEFAULT_ATTRS = {
paddingLeft: 10,
paddingRight: 10,
paddingTop: 10,
paddingBottom: 10,
rx: 0,
ry: 0,
shape: "rect"
};
var EDGE_DEFAULT_ATTRS = {
arrowhead: "normal",
lineInterpolate: "linear"
};
function preProcessGraph(g) {
g.nodes().forEach(function(v) {
var node = g.node(v);
if (!_.has(node, "label")) { node.label = v; }
if (_.has(node, "paddingX")) {
_.defaults(node, {
paddingLeft: node.paddingX,
paddingRight: node.paddingX
});
}
if (_.has(node, "paddingY")) {
_.defaults(node, {
paddingTop: node.paddingY,
paddingBottom: node.paddingY
});
}
if (_.has(node, "padding")) {
_.defaults(node, {
paddingLeft: node.padding,
paddingRight: node.padding,
paddingTop: node.padding,
paddingBottom: node.padding
});
}
_.defaults(node, NODE_DEFAULT_ATTRS);
_.each(["paddingLeft", "paddingRight", "paddingTop", "paddingBottom"], function(k) {
node[k] = Number(node[k]);
});
// Save dimensions for restore during post-processing
if (_.has(node, "width")) { node._prevWidth = node.width; }
if (_.has(node, "height")) { node._prevHeight = node.height; }
});
g.edges().forEach(function(e) {
var edge = g.edge(e);
if (!_.has(edge, "label")) { edge.label = ""; }
_.defaults(edge, EDGE_DEFAULT_ATTRS);
});
}
function postProcessGraph(g) {
_.each(g.nodes(), function(v) {
var node = g.node(v);
// Restore original dimensions
if (_.has(node, "_prevWidth")) {
node.width = node._prevWidth;
} else {
delete node.width;
}
if (_.has(node, "_prevHeight")) {
node.height = node._prevHeight;
} else {
delete node.height;
}
delete node._prevWidth;
delete node._prevHeight;
});
}
function createOrSelectGroup(root, name) {
var selection = root.select("g." + name);
if (selection.empty()) {
selection = root.append("g").attr("class", name);
}
return selection;
}
},{"./arrows":3,"./create-clusters":4,"./create-edge-labels":5,"./create-edge-paths":6,"./create-nodes":7,"./dagre":9,"./lodash":21,"./position-edge-labels":22,"./position-nodes":23,"./shapes":25}],25:[function(require,module,exports){
"use strict";
var intersectRect = require("./intersect/intersect-rect"),
intersectEllipse = require("./intersect/intersect-ellipse"),
intersectCircle = require("./intersect/intersect-circle"),
intersectPolygon = require("./intersect/intersect-polygon");
module.exports = {
rect: rect,
ellipse: ellipse,
circle: circle,
diamond: diamond
};
function rect(parent, bbox, node) {
var shapeSvg = parent.insert("rect", ":first-child")
.attr("rx", node.rx)
.attr("ry", node.ry)
.attr("x", -bbox.width / 2)
.attr("y", -bbox.height / 2)
.attr("width", bbox.width)
.attr("height", bbox.height);
node.intersect = function(point) {
return intersectRect(node, point);
};
return shapeSvg;
}
function ellipse(parent, bbox, node) {
var rx = bbox.width / 2,
ry = bbox.height / 2,
shapeSvg = parent.insert("ellipse", ":first-child")
.attr("x", -bbox.width / 2)
.attr("y", -bbox.height / 2)
.attr("rx", rx)
.attr("ry", ry);
node.intersect = function(point) {
return intersectEllipse(node, rx, ry, point);
};
return shapeSvg;
}
function circle(parent, bbox, node) {
var r = Math.max(bbox.width, bbox.height) / 2,
shapeSvg = parent.insert("circle", ":first-child")
.attr("x", -bbox.width / 2)
.attr("y", -bbox.height / 2)
.attr("r", r);
node.intersect = function(point) {
return intersectCircle(node, r, point);
};
return shapeSvg;
}
// Circumscribe an ellipse for the bounding box with a diamond shape. I derived
// the function to calculate the diamond shape from:
// http://mathforum.org/kb/message.jspa?messageID=3750236
function diamond(parent, bbox, node) {
var w = (bbox.width * Math.SQRT2) / 2,
h = (bbox.height * Math.SQRT2) / 2,
points = [
{ x: 0, y: -h },
{ x: -w, y: 0 },
{ x: 0, y: h },
{ x: w, y: 0 }
],
shapeSvg = parent.insert("polygon", ":first-child")
.attr("points", points.map(function(p) { return p.x + "," + p.y; }).join(" "));
node.intersect = function(p) {
return intersectPolygon(node, points, p);
};
return shapeSvg;
}
},{"./intersect/intersect-circle":12,"./intersect/intersect-ellipse":13,"./intersect/intersect-polygon":16,"./intersect/intersect-rect":17}],26:[function(require,module,exports){
var _ = require("./lodash");
// Public utility functions
module.exports = {
isSubgraph: isSubgraph,
edgeToId: edgeToId,
applyStyle: applyStyle,
applyClass: applyClass,
applyTransition: applyTransition
};
/*
* Returns true if the specified node in the graph is a subgraph node. A
* subgraph node is one that contains other nodes.
*/
function isSubgraph(g, v) {
return !!g.children(v).length;
}
function edgeToId(e) {
return escapeId(e.v) + ":" + escapeId(e.w) + ":" + escapeId(e.name);
}
var ID_DELIM = /:/g;
function escapeId(str) {
return str ? String(str).replace(ID_DELIM, "\\:") : "";
}
function applyStyle(dom, styleFn) {
if (styleFn) {
dom.attr("style", styleFn);
}
}
function applyClass(dom, classFn, otherClasses) {
if (classFn) {
dom
.attr("class", classFn)
.attr("class", otherClasses + " " + dom.attr("class"));
}
}
function applyTransition(selection, g) {
var graph = g.graph();
if (_.isPlainObject(graph)) {
var transition = graph.transition;
if (_.isFunction(transition)) {
return transition(selection);
}
}
return selection;
}
},{"./lodash":21}],27:[function(require,module,exports){
module.exports = "0.4.2";
},{}],28:[function(require,module,exports){
/*
Copyright (c) 2012-2014 Chris Pettitt
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE.
*/
module.exports = {
graphlib: require("./lib/graphlib"),
layout: require("./lib/layout"),
debug: require("./lib/debug"),
util: {
time: require("./lib/util").time,
notime: require("./lib/util").notime
},
version: require("./lib/version")
};
},{"./lib/debug":33,"./lib/graphlib":34,"./lib/layout":36,"./lib/util":56,"./lib/version":57}],29:[function(require,module,exports){
"use strict";
var _ = require("./lodash"),
greedyFAS = require("./greedy-fas");
module.exports = {
run: run,
undo: undo
};
function run(g) {
var fas = (g.graph().acyclicer === "greedy"
? greedyFAS(g, weightFn(g))
: dfsFAS(g));
_.each(fas, function(e) {
var label = g.edge(e);
g.removeEdge(e);
label.forwardName = e.name;
label.reversed = true;
g.setEdge(e.w, e.v, label, _.uniqueId("rev"));
});
function weightFn(g) {
return function(e) {
return g.edge(e).weight;
};
}
}
function dfsFAS(g) {
var fas = [],
stack = {},
visited = {};
function dfs(v) {
if (_.has(visited, v)) {
return;
}
visited[v] = true;
stack[v] = true;
_.each(g.outEdges(v), function(e) {
if (_.has(stack, e.w)) {
fas.push(e);
} else {
dfs(e.w);
}
});
delete stack[v];
}
_.each(g.nodes(), dfs);
return fas;
}
function undo(g) {
_.each(g.edges(), function(e) {
var label = g.edge(e);
if (label.reversed) {
g.removeEdge(e);
var forwardName = label.forwardName;
delete label.reversed;
delete label.forwardName;
g.setEdge(e.w, e.v, label, forwardName);
}
});
}
},{"./greedy-fas":35,"./lodash":37}],30:[function(require,module,exports){
var _ = require("./lodash"),
util = require("./util");
module.exports = addBorderSegments;
function addBorderSegments(g) {
function dfs(v) {
var children = g.children(v),
node = g.node(v);
if (children.length) {
_.each(children, dfs);
}
if (_.has(node, "minRank")) {
node.borderLeft = [];
node.borderRight = [];
for (var rank = node.minRank, maxRank = node.maxRank + 1;
rank < maxRank;
++rank) {
addBorderNode(g, "borderLeft", "_bl", v, node, rank);
addBorderNode(g, "borderRight", "_br", v, node, rank);
}
}
}
_.each(g.children(), dfs);
}
function addBorderNode(g, prop, prefix, sg, sgNode, rank) {
var label = { width: 0, height: 0, rank: rank },
prev = sgNode[prop][rank - 1],
curr = util.addDummyNode(g, "border", label, prefix);
sgNode[prop][rank] = curr;
g.setParent(curr, sg);
if (prev) {
g.setEdge(prev, curr, { weight: 1 });
}
}
},{"./lodash":37,"./util":56}],31:[function(require,module,exports){
"use strict";
var _ = require("./lodash");
module.exports = {
adjust: adjust,
undo: undo
};
function adjust(g) {
var rankDir = g.graph().rankdir.toLowerCase();
if (rankDir === "lr" || rankDir === "rl") {
swapWidthHeight(g);
}
}
function undo(g) {
var rankDir = g.graph().rankdir.toLowerCase();
if (rankDir === "bt" || rankDir === "rl") {
reverseY(g);
}
if (rankDir === "lr" || rankDir === "rl") {
swapXY(g);
swapWidthHeight(g);
}
}
function swapWidthHeight(g) {
_.each(g.nodes(), function(v) { swapWidthHeightOne(g.node(v)); });
_.each(g.edges(), function(e) { swapWidthHeightOne(g.edge(e)); });
}
function swapWidthHeightOne(attrs) {
var w = attrs.width;
attrs.width = attrs.height;
attrs.height = w;
}
function reverseY(g) {
_.each(g.nodes(), function(v) { reverseYOne(g.node(v)); });
_.each(g.edges(), function(e) {
var edge = g.edge(e);
_.each(edge.points, reverseYOne);
if (_.has(edge, "y")) {
reverseYOne(edge);
}
});
}
function reverseYOne(attrs) {
attrs.y = -attrs.y;
}
function swapXY(g) {
_.each(g.nodes(), function(v) { swapXYOne(g.node(v)); });
_.each(g.edges(), function(e) {
var edge = g.edge(e);
_.each(edge.points, swapXYOne);
if (_.has(edge, "x")) {
swapXYOne(edge);
}
});
}
function swapXYOne(attrs) {
var x = attrs.x;
attrs.x = attrs.y;
attrs.y = x;
}
},{"./lodash":37}],32:[function(require,module,exports){
/*
* Simple doubly linked list implementation derived from Cormen, et al.,
* "Introduction to Algorithms".
*/
module.exports = List;
function List() {
var sentinel = {};
sentinel._next = sentinel._prev = sentinel;
this._sentinel = sentinel;
}
List.prototype.dequeue = function() {
var sentinel = this._sentinel,
entry = sentinel._prev;
if (entry !== sentinel) {
unlink(entry);
return entry;
}
};
List.prototype.enqueue = function(entry) {
var sentinel = this._sentinel;
if (entry._prev && entry._next) {
unlink(entry);
}
entry._next = sentinel._next;
sentinel._next._prev = entry;
sentinel._next = entry;
entry._prev = sentinel;
};
List.prototype.toString = function() {
var strs = [],
sentinel = this._sentinel,
curr = sentinel._prev;
while (curr !== sentinel) {
strs.push(JSON.stringify(curr, filterOutLinks));
curr = curr._prev;
}
return "[" + strs.join(", ") + "]";
};
function unlink(entry) {
entry._prev._next = entry._next;
entry._next._prev = entry._prev;
delete entry._next;
delete entry._prev;
}
function filterOutLinks(k, v) {
if (k !== "_next" && k !== "_prev") {
return v;
}
}
},{}],33:[function(require,module,exports){
var _ = require("./lodash"),
util = require("./util"),
Graph = require("./graphlib").Graph;
module.exports = {
debugOrdering: debugOrdering
};
/* istanbul ignore next */
function debugOrdering(g) {
var layerMatrix = util.buildLayerMatrix(g);
var h = new Graph({ compound: true, multigraph: true }).setGraph({});
_.each(g.nodes(), function(v) {
h.setNode(v, { label: v });
h.setParent(v, "layer" + g.node(v).rank);
});
_.each(g.edges(), function(e) {
h.setEdge(e.v, e.w, {}, e.name);
});
_.each(layerMatrix, function(layer, i) {
var layerV = "layer" + i;
h.setNode(layerV, { rank: "same" });
_.reduce(layer, function(u, v) {
h.setEdge(u, v, { style: "invis" });
return v;
});
});
return h;
}
},{"./graphlib":34,"./lodash":37,"./util":56}],34:[function(require,module,exports){
module.exports=require(10)
},{"graphlib":58}],35:[function(require,module,exports){
var _ = require("./lodash"),
Graph = require("./graphlib").Graph,
List = require("./data/list");
/*
* A greedy heuristic for finding a feedback arc set for a graph. A feedback
* arc set is a set of edges that can be removed to make a graph acyclic.
* The algorithm comes from: P. Eades, X. Lin, and W. F. Smyth, "A fast and
* effective heuristic for the feedback arc set problem." This implementation
* adjusts that from the paper to allow for weighted edges.
*/
module.exports = greedyFAS;
var DEFAULT_WEIGHT_FN = _.constant(1);
function greedyFAS(g, weightFn) {
if (g.nodeCount() <= 1) {
return [];
}
var state = buildState(g, weightFn || DEFAULT_WEIGHT_FN);
var results = doGreedyFAS(state.graph, state.buckets, state.zeroIdx);
// Expand multi-edges
return _.flatten(_.map(results, function(e) {
return g.outEdges(e.v, e.w);
}), true);
}
function doGreedyFAS(g, buckets, zeroIdx) {
var results = [],
sources = buckets[buckets.length - 1],
sinks = buckets[0];
var entry;
while (g.nodeCount()) {
while ((entry = sinks.dequeue())) { removeNode(g, buckets, zeroIdx, entry); }
while ((entry = sources.dequeue())) { removeNode(g, buckets, zeroIdx, entry); }
if (g.nodeCount()) {
for (var i = buckets.length - 2; i > 0; --i) {
entry = buckets[i].dequeue();
if (entry) {
results = results.concat(removeNode(g, buckets, zeroIdx, entry, true));
break;
}
}
}
}
return results;
}
function removeNode(g, buckets, zeroIdx, entry, collectPredecessors) {
var results = collectPredecessors ? [] : undefined;
_.each(g.inEdges(entry.v), function(edge) {
var weight = g.edge(edge),
uEntry = g.node(edge.v);
if (collectPredecessors) {
results.push({ v: edge.v, w: edge.w });
}
uEntry.out -= weight;
assignBucket(buckets, zeroIdx, uEntry);
});
_.each(g.outEdges(entry.v), function(edge) {
var weight = g.edge(edge),
w = edge.w,
wEntry = g.node(w);
wEntry["in"] -= weight;
assignBucket(buckets, zeroIdx, wEntry);
});
g.removeNode(entry.v);
return results;
}
function buildState(g, weightFn) {
var fasGraph = new Graph(),
maxIn = 0,
maxOut = 0;
_.each(g.nodes(), function(v) {
fasGraph.setNode(v, { v: v, "in": 0, out: 0 });
});
// Aggregate weights on nodes, but also sum the weights across multi-edges
// into a single edge for the fasGraph.
_.each(g.edges(), function(e) {
var prevWeight = fasGraph.edge(e.v, e.w) || 0,
weight = weightFn(e),
edgeWeight = prevWeight + weight;
fasGraph.setEdge(e.v, e.w, edgeWeight);
maxOut = Math.max(maxOut, fasGraph.node(e.v).out += weight);
maxIn = Math.max(maxIn, fasGraph.node(e.w)["in"] += weight);
});
var buckets = _.range(maxOut + maxIn + 3).map(function() { return new List(); });
var zeroIdx = maxIn + 1;
_.each(fasGraph.nodes(), function(v) {
assignBucket(buckets, zeroIdx, fasGraph.node(v));
});
return { graph: fasGraph, buckets: buckets, zeroIdx: zeroIdx };
}
function assignBucket(buckets, zeroIdx, entry) {
if (!entry.out) {
buckets[0].enqueue(entry);
} else if (!entry["in"]) {
buckets[buckets.length - 1].enqueue(entry);
} else {
buckets[entry.out - entry["in"] + zeroIdx].enqueue(entry);
}
}
},{"./data/list":32,"./graphlib":34,"./lodash":37}],36:[function(require,module,exports){
"use strict";
var _ = require("./lodash"),
acyclic = require("./acyclic"),
normalize = require("./normalize"),
rank = require("./rank"),
normalizeRanks = require("./util").normalizeRanks,
parentDummyChains = require("./parent-dummy-chains"),
removeEmptyRanks = require("./util").removeEmptyRanks,
nestingGraph = require("./nesting-graph"),
addBorderSegments = require("./add-border-segments"),
coordinateSystem = require("./coordinate-system"),
order = require("./order"),
position = require("./position"),
util = require("./util"),
Graph = require("./graphlib").Graph;
module.exports = layout;
function layout(g, opts) {
var time = opts && opts.debugTiming ? util.time : util.notime;
time("layout", function() {
var layoutGraph = time(" buildLayoutGraph",
function() { return buildLayoutGraph(g); });
time(" runLayout", function() { runLayout(layoutGraph, time); });
time(" updateInputGraph", function() { updateInputGraph(g, layoutGraph); });
});
}
function runLayout(g, time) {
time(" makeSpaceForEdgeLabels", function() { makeSpaceForEdgeLabels(g); });
time(" removeSelfEdges", function() { removeSelfEdges(g); });
time(" acyclic", function() { acyclic.run(g); });
time(" nestingGraph.run", function() { nestingGraph.run(g); });
time(" rank", function() { rank(util.asNonCompoundGraph(g)); });
time(" injectEdgeLabelProxies", function() { injectEdgeLabelProxies(g); });
time(" removeEmptyRanks", function() { removeEmptyRanks(g); });
time(" nestingGraph.cleanup", function() { nestingGraph.cleanup(g); });
time(" normalizeRanks", function() { normalizeRanks(g); });
time(" assignRankMinMax", function() { assignRankMinMax(g); });
time(" removeEdgeLabelProxies", function() { removeEdgeLabelProxies(g); });
time(" normalize.run", function() { normalize.run(g); });
time(" parentDummyChains", function() { parentDummyChains(g); });
time(" addBorderSegments", function() { addBorderSegments(g); });
time(" order", function() { order(g); });
time(" insertSelfEdges", function() { insertSelfEdges(g); });
time(" adjustCoordinateSystem", function() { coordinateSystem.adjust(g); });
time(" position", function() { position(g); });
time(" positionSelfEdges", function() { positionSelfEdges(g); });
time(" removeBorderNodes", function() { removeBorderNodes(g); });
time(" normalize.undo", function() { normalize.undo(g); });
time(" fixupEdgeLabelCoords", function() { fixupEdgeLabelCoords(g); });
time(" undoCoordinateSystem", function() { coordinateSystem.undo(g); });
time(" translateGraph", function() { translateGraph(g); });
time(" assignNodeIntersects", function() { assignNodeIntersects(g); });
time(" reversePoints", function() { reversePointsForReversedEdges(g); });
time(" acyclic.undo", function() { acyclic.undo(g); });
}
/*
* Copies final layout information from the layout graph back to the input
* graph. This process only copies whitelisted attributes from the layout graph
* to the input graph, so it serves as a good place to determine what
* attributes can influence layout.
*/
function updateInputGraph(inputGraph, layoutGraph) {
_.each(inputGraph.nodes(), function(v) {
var inputLabel = inputGraph.node(v),
layoutLabel = layoutGraph.node(v);
if (inputLabel) {
inputLabel.x = layoutLabel.x;
inputLabel.y = layoutLabel.y;
if (layoutGraph.children(v).length) {
inputLabel.width = layoutLabel.width;
inputLabel.height = layoutLabel.height;
}
}
});
_.each(inputGraph.edges(), function(e) {
var inputLabel = inputGraph.edge(e),
layoutLabel = layoutGraph.edge(e);
inputLabel.points = layoutLabel.points;
if (_.has(layoutLabel, "x")) {
inputLabel.x = layoutLabel.x;
inputLabel.y = layoutLabel.y;
}
});
inputGraph.graph().width = layoutGraph.graph().width;
inputGraph.graph().height = layoutGraph.graph().height;
}
var graphNumAttrs = ["nodesep", "edgesep", "ranksep", "marginx", "marginy"],
graphDefaults = { ranksep: 50, edgesep: 20, nodesep: 50, rankdir: "tb" },
graphAttrs = ["acyclicer", "ranker", "rankdir", "align"],
nodeNumAttrs = ["width", "height"],
nodeDefaults = { width: 0, height: 0 },
edgeNumAttrs = ["minlen", "weight", "width", "height", "labeloffset"],
edgeDefaults = {
minlen: 1, weight: 1, width: 0, height: 0,
labeloffset: 10, labelpos: "r"
},
edgeAttrs = ["labelpos"];
/*
* Constructs a new graph from the input graph, which can be used for layout.
* This process copies only whitelisted attributes from the input graph to the
* layout graph. Thus this function serves as a good place to determine what
* attributes can influence layout.
*/
function buildLayoutGraph(inputGraph) {
var g = new Graph({ multigraph: true, compound: true }),
graph = canonicalize(inputGraph.graph());
g.setGraph(_.merge({},
graphDefaults,
selectNumberAttrs(graph, graphNumAttrs),
_.pick(graph, graphAttrs)));
_.each(inputGraph.nodes(), function(v) {
var node = canonicalize(inputGraph.node(v));
g.setNode(v, _.defaults(selectNumberAttrs(node, nodeNumAttrs), nodeDefaults));
g.setParent(v, inputGraph.parent(v));
});
_.each(inputGraph.edges(), function(e) {
var edge = canonicalize(inputGraph.edge(e));
g.setEdge(e, _.merge({},
edgeDefaults,
selectNumberAttrs(edge, edgeNumAttrs),
_.pick(edge, edgeAttrs)));
});
return g;
}
/*
* This idea comes from the Gansner paper: to account for edge labels in our
* layout we split each rank in half by doubling minlen and halving ranksep.
* Then we can place labels at these mid-points between nodes.
*
* We also add some minimal padding to the width to push the label for the edge
* away from the edge itself a bit.
*/
function makeSpaceForEdgeLabels(g) {
var graph = g.graph();
graph.ranksep /= 2;
_.each(g.edges(), function(e) {
var edge = g.edge(e);
edge.minlen *= 2;
if (edge.labelpos.toLowerCase() !== "c") {
if (graph.rankdir === "TB" || graph.rankdir === "BT") {
edge.width += edge.labeloffset;
} else {
edge.height += edge.labeloffset;
}
}
});
}
/*
* Creates temporary dummy nodes that capture the rank in which each edge's
* label is going to, if it has one of non-zero width and height. We do this
* so that we can safely remove empty ranks while preserving balance for the
* label's position.
*/
function injectEdgeLabelProxies(g) {
_.each(g.edges(), function(e) {
var edge = g.edge(e);
if (edge.width && edge.height) {
var v = g.node(e.v),
w = g.node(e.w),
label = { rank: (w.rank - v.rank) / 2 + v.rank, e: e };
util.addDummyNode(g, "edge-proxy", label, "_ep");
}
});
}
function assignRankMinMax(g) {
var maxRank = 0;
_.each(g.nodes(), function(v) {
var node = g.node(v);
if (node.borderTop) {
node.minRank = g.node(node.borderTop).rank;
node.maxRank = g.node(node.borderBottom).rank;
maxRank = _.max(maxRank, node.maxRank);
}
});
g.graph().maxRank = maxRank;
}
function removeEdgeLabelProxies(g) {
_.each(g.nodes(), function(v) {
var node = g.node(v);
if (node.dummy === "edge-proxy") {
g.edge(node.e).labelRank = node.rank;
g.removeNode(v);
}
});
}
function translateGraph(g) {
var minX = Number.POSITIVE_INFINITY,
maxX = 0,
minY = Number.POSITIVE_INFINITY,
maxY = 0,
graphLabel = g.graph(),
marginX = graphLabel.marginx || 0,
marginY = graphLabel.marginy || 0;
function getExtremes(attrs) {
var x = attrs.x,
y = attrs.y,
w = attrs.width,
h = attrs.height;
minX = Math.min(minX, x - w / 2);
maxX = Math.max(maxX, x + w / 2);
minY = Math.min(minY, y - h / 2);
maxY = Math.max(maxY, y + h / 2);
}
_.each(g.nodes(), function(v) { getExtremes(g.node(v)); });
_.each(g.edges(), function(e) {
var edge = g.edge(e);
if (_.has(edge, "x")) {
getExtremes(edge);
}
});
minX -= marginX;
minY -= marginY;
_.each(g.nodes(), function(v) {
var node = g.node(v);
node.x -= minX;
node.y -= minY;
});
_.each(g.edges(), function(e) {
var edge = g.edge(e);
_.each(edge.points, function(p) {
p.x -= minX;
p.y -= minY;
});
if (_.has(edge, "x")) { edge.x -= minX; }
if (_.has(edge, "y")) { edge.y -= minY; }
});
graphLabel.width = maxX - minX + marginX;
graphLabel.height = maxY - minY + marginY;
}
function assignNodeIntersects(g) {
_.each(g.edges(), function(e) {
var edge = g.edge(e),
nodeV = g.node(e.v),
nodeW = g.node(e.w),
p1, p2;
if (!edge.points) {
edge.points = [];
p1 = nodeW;
p2 = nodeV;
} else {
p1 = edge.points[0];
p2 = edge.points[edge.points.length - 1];
}
edge.points.unshift(util.intersectRect(nodeV, p1));
edge.points.push(util.intersectRect(nodeW, p2));
});
}
function fixupEdgeLabelCoords(g) {
_.each(g.edges(), function(e) {
var edge = g.edge(e);
if (_.has(edge, "x")) {
if (edge.labelpos === "l" || edge.labelpos === "r") {
edge.width -= edge.labeloffset;
}
switch (edge.labelpos) {
case "l": edge.x -= edge.width / 2 + edge.labeloffset; break;
case "r": edge.x += edge.width / 2 + edge.labeloffset; break;
}
}
});
}
function reversePointsForReversedEdges(g) {
_.each(g.edges(), function(e) {
var edge = g.edge(e);
if (edge.reversed) {
edge.points.reverse();
}
});
}
function removeBorderNodes(g) {
_.each(g.nodes(), function(v) {
if (g.children(v).length) {
var node = g.node(v),
t = g.node(node.borderTop),
b = g.node(node.borderBottom),
l = g.node(_.last(node.borderLeft)),
r = g.node(_.last(node.borderRight));
node.width = Math.abs(r.x - l.x);
node.height = Math.abs(b.y - t.y);
node.x = l.x + node.width / 2;
node.y = t.y + node.height / 2;
}
});
_.each(g.nodes(), function(v) {
if (g.node(v).dummy === "border") {
g.removeNode(v);
}
});
}
function removeSelfEdges(g) {
_.each(g.edges(), function(e) {
if (e.v === e.w) {
var node = g.node(e.v);
if (!node.selfEdges) {
node.selfEdges = [];
}
node.selfEdges.push({ e: e, label: g.edge(e) });
g.removeEdge(e);
}
});
}
function insertSelfEdges(g) {
var layers = util.buildLayerMatrix(g);
_.each(layers, function(layer) {
var orderShift = 0;
_.each(layer, function(v, i) {
var node = g.node(v);
node.order = i + orderShift;
_.each(node.selfEdges, function(selfEdge) {
util.addDummyNode(g, "selfedge", {
width: selfEdge.label.width,
height: selfEdge.label.height,
rank: node.rank,
order: i + (++orderShift),
e: selfEdge.e,
label: selfEdge.label
}, "_se");
});
delete node.selfEdges;
});
});
}
function positionSelfEdges(g) {
_.each(g.nodes(), function(v) {
var node = g.node(v);
if (node.dummy === "selfedge") {
var selfNode = g.node(node.e.v),
x = selfNode.x + selfNode.width / 2,
y = selfNode.y,
dx = node.x - x,
dy = selfNode.height / 2;
g.setEdge(node.e, node.label);
g.removeNode(v);
node.label.points = [
{ x: x + 2 * dx / 3, y: y - dy },
{ x: x + 5 * dx / 6, y: y - dy },
{ x: x + dx , y: y },
{ x: x + 5 * dx / 6, y: y + dy },
{ x: x + 2 * dx / 3, y: y + dy },
];
node.label.x = node.x;
node.label.y = node.y;
}
});
}
function selectNumberAttrs(obj, attrs) {
return _.mapValues(_.pick(obj, attrs), Number);
}
function canonicalize(attrs) {
var newAttrs = {};
_.each(attrs, function(v, k) {
newAttrs[k.toLowerCase()] = v;
});
return newAttrs;
}
},{"./acyclic":29,"./add-border-segments":30,"./coordinate-system":31,"./graphlib":34,"./lodash":37,"./nesting-graph":38,"./normalize":39,"./order":44,"./parent-dummy-chains":49,"./position":51,"./rank":53,"./util":56}],37:[function(require,module,exports){
module.exports=require(21)
},{"lodash":82}],38:[function(require,module,exports){
var _ = require("./lodash"),
util = require("./util");
module.exports = {
run: run,
cleanup: cleanup
};
/*
* A nesting graph creates dummy nodes for the tops and bottoms of subgraphs,
* adds appropriate edges to ensure that all cluster nodes are placed between
* these boundries, and ensures that the graph is connected.
*
* In addition we ensure, through the use of the minlen property, that nodes
* and subgraph border nodes to not end up on the same rank.
*
* Preconditions:
*
* 1. Input graph is a DAG
* 2. Nodes in the input graph has a minlen attribute
*
* Postconditions:
*
* 1. Input graph is connected.
* 2. Dummy nodes are added for the tops and bottoms of subgraphs.
* 3. The minlen attribute for nodes is adjusted to ensure nodes do not
* get placed on the same rank as subgraph border nodes.
*
* The nesting graph idea comes from Sander, "Layout of Compound Directed
* Graphs."
*/
function run(g) {
var root = util.addDummyNode(g, "root", {}, "_root"),
depths = treeDepths(g),
height = _.max(depths) - 1,
nodeSep = 2 * height + 1;
g.graph().nestingRoot = root;
// Multiply minlen by nodeSep to align nodes on non-border ranks.
_.each(g.edges(), function(e) { g.edge(e).minlen *= nodeSep; });
// Calculate a weight that is sufficient to keep subgraphs vertically compact
var weight = sumWeights(g) + 1;
// Create border nodes and link them up
_.each(g.children(), function(child) {
dfs(g, root, nodeSep, weight, height, depths, child);
});
// Save the multiplier for node layers for later removal of empty border
// layers.
g.graph().nodeRankFactor = nodeSep;
}
function dfs(g, root, nodeSep, weight, height, depths, v) {
var children = g.children(v);
if (!children.length) {
if (v !== root) {
g.setEdge(root, v, { weight: 0, minlen: nodeSep });
}
return;
}
var top = util.addBorderNode(g, "_bt"),
bottom = util.addBorderNode(g, "_bb"),
label = g.node(v);
g.setParent(top, v);
label.borderTop = top;
g.setParent(bottom, v);
label.borderBottom = bottom;
_.each(children, function(child) {
dfs(g, root, nodeSep, weight, height, depths, child);
var childNode = g.node(child),
childTop = childNode.borderTop ? childNode.borderTop : child,
childBottom = childNode.borderBottom ? childNode.borderBottom : child,
thisWeight = childNode.borderTop ? weight : 2 * weight,
minlen = childTop !== childBottom ? 1 : height - depths[v] + 1;
g.setEdge(top, childTop, {
weight: thisWeight,
minlen: minlen,
nestingEdge: true
});
g.setEdge(childBottom, bottom, {
weight: thisWeight,
minlen: minlen,
nestingEdge: true
});
});
if (!g.parent(v)) {
g.setEdge(root, top, { weight: 0, minlen: height + depths[v] });
}
}
function treeDepths(g) {
var depths = {};
function dfs(v, depth) {
var children = g.children(v);
if (children && children.length) {
_.each(children, function(child) {
dfs(child, depth + 1);
});
}
depths[v] = depth;
}
_.each(g.children(), function(v) { dfs(v, 1); });
return depths;
}
function sumWeights(g) {
return _.reduce(g.edges(), function(acc, e) {
return acc + g.edge(e).weight;
}, 0);
}
function cleanup(g) {
var graphLabel = g.graph();
g.removeNode(graphLabel.nestingRoot);
delete graphLabel.nestingRoot;
_.each(g.edges(), function(e) {
var edge = g.edge(e);
if (edge.nestingEdge) {
g.removeEdge(e);
}
});
}
},{"./lodash":37,"./util":56}],39:[function(require,module,exports){
"use strict";
var _ = require("./lodash"),
util = require("./util");
module.exports = {
run: run,
undo: undo
};
/*
* Breaks any long edges in the graph into short segments that span 1 layer
* each. This operation is undoable with the denormalize function.
*
* Pre-conditions:
*
* 1. The input graph is a DAG.
* 2. Each node in the graph has a "rank" property.
*
* Post-condition:
*
* 1. All edges in the graph have a length of 1.
* 2. Dummy nodes are added where edges have been split into segments.
* 3. The graph is augmented with a "dummyChains" attribute which contains
* the first dummy in each chain of dummy nodes produced.
*/
function run(g) {
g.graph().dummyChains = [];
_.each(g.edges(), function(edge) { normalizeEdge(g, edge); });
}
function normalizeEdge(g, e) {
var v = e.v,
vRank = g.node(v).rank,
w = e.w,
wRank = g.node(w).rank,
name = e.name,
edgeLabel = g.edge(e),
labelRank = edgeLabel.labelRank;
if (wRank === vRank + 1) return;
g.removeEdge(e);
var dummy, attrs, i;
for (i = 0, ++vRank; vRank < wRank; ++i, ++vRank) {
edgeLabel.points = [];
attrs = {
width: 0, height: 0,
edgeLabel: edgeLabel, edgeObj: e,
rank: vRank
};
dummy = util.addDummyNode(g, "edge", attrs, "_d");
if (vRank === labelRank) {
attrs.width = edgeLabel.width;
attrs.height = edgeLabel.height;
attrs.dummy = "edge-label";
attrs.labelpos = edgeLabel.labelpos;
}
g.setEdge(v, dummy, { weight: edgeLabel.weight }, name);
if (i === 0) {
g.graph().dummyChains.push(dummy);
}
v = dummy;
}
g.setEdge(v, w, { weight: edgeLabel.weight }, name);
}
function undo(g) {
_.each(g.graph().dummyChains, function(v) {
var node = g.node(v),
origLabel = node.edgeLabel,
w;
g.setEdge(node.edgeObj, origLabel);
while (node.dummy) {
w = g.successors(v)[0];
g.removeNode(v);
origLabel.points.push({ x: node.x, y: node.y });
if (node.dummy === "edge-label") {
origLabel.x = node.x;
origLabel.y = node.y;
origLabel.width = node.width;
origLabel.height = node.height;
}
v = w;
node = g.node(v);
}
});
}
},{"./lodash":37,"./util":56}],40:[function(require,module,exports){
var _ = require("../lodash");
module.exports = addSubgraphConstraints;
function addSubgraphConstraints(g, cg, vs) {
var prev = {},
rootPrev;
_.each(vs, function(v) {
var child = g.parent(v),
parent,
prevChild;
while (child) {
parent = g.parent(child);
if (parent) {
prevChild = prev[parent];
prev[parent] = child;
} else {
prevChild = rootPrev;
rootPrev = child;
}
if (prevChild && prevChild !== child) {
cg.setEdge(prevChild, child);
return;
}
child = parent;
}
});
/*
function dfs(v) {
var children = v ? g.children(v) : g.children();
if (children.length) {
var min = Number.POSITIVE_INFINITY,
subgraphs = [];
_.each(children, function(child) {
var childMin = dfs(child);
if (g.children(child).length) {
subgraphs.push({ v: child, order: childMin });
}
min = Math.min(min, childMin);
});
_.reduce(_.sortBy(subgraphs, "order"), function(prev, curr) {
cg.setEdge(prev.v, curr.v);
return curr;
});
return min;
}
return g.node(v).order;
}
dfs(undefined);
*/
}
},{"../lodash":37}],41:[function(require,module,exports){
var _ = require("../lodash");
module.exports = barycenter;
function barycenter(g, movable) {
return _.map(movable, function(v) {
var inV = g.inEdges(v);
if (!inV.length) {
return { v: v };
} else {
var result = _.reduce(inV, function(acc, e) {
var edge = g.edge(e),
nodeU = g.node(e.v);
return {
sum: acc.sum + (edge.weight * nodeU.order),
weight: acc.weight + edge.weight
};
}, { sum: 0, weight: 0 });
return {
v: v,
barycenter: result.sum / result.weight,
weight: result.weight
};
}
});
}
},{"../lodash":37}],42:[function(require,module,exports){
var _ = require("../lodash"),
Graph = require("../graphlib").Graph;
module.exports = buildLayerGraph;
/*
* Constructs a graph that can be used to sort a layer of nodes. The graph will
* contain all base and subgraph nodes from the request layer in their original
* hierarchy and any edges that are incident on these nodes and are of the type
* requested by the "relationship" parameter.
*
* Nodes from the requested rank that do not have parents are assigned a root
* node in the output graph, which is set in the root graph attribute. This
* makes it easy to walk the hierarchy of movable nodes during ordering.
*
* Pre-conditions:
*
* 1. Input graph is a DAG
* 2. Base nodes in the input graph have a rank attribute
* 3. Subgraph nodes in the input graph has minRank and maxRank attributes
* 4. Edges have an assigned weight
*
* Post-conditions:
*
* 1. Output graph has all nodes in the movable rank with preserved
* hierarchy.
* 2. Root nodes in the movable layer are made children of the node
* indicated by the root attribute of the graph.
* 3. Non-movable nodes incident on movable nodes, selected by the
* relationship parameter, are included in the graph (without hierarchy).
* 4. Edges incident on movable nodes, selected by the relationship
* parameter, are added to the output graph.
* 5. The weights for copied edges are aggregated as need, since the output
* graph is not a multi-graph.
*/
function buildLayerGraph(g, rank, relationship) {
var root = createRootNode(g),
result = new Graph({ compound: true }).setGraph({ root: root })
.setDefaultNodeLabel(function(v) { return g.node(v); });
_.each(g.nodes(), function(v) {
var node = g.node(v),
parent = g.parent(v);
if (node.rank === rank || node.minRank <= rank && rank <= node.maxRank) {
result.setNode(v);
result.setParent(v, parent || root);
// This assumes we have only short edges!
_.each(g[relationship](v), function(e) {
var u = e.v === v ? e.w : e.v,
edge = result.edge(u, v),
weight = !_.isUndefined(edge) ? edge.weight : 0;
result.setEdge(u, v, { weight: g.edge(e).weight + weight });
});
if (_.has(node, "minRank")) {
result.setNode(v, {
borderLeft: node.borderLeft[rank],
borderRight: node.borderRight[rank]
});
}
}
});
return result;
}
function createRootNode(g) {
var v;
while (g.hasNode((v = _.uniqueId("_root"))));
return v;
}
},{"../graphlib":34,"../lodash":37}],43:[function(require,module,exports){
"use strict";
var _ = require("../lodash");
module.exports = crossCount;
/*
* A function that takes a layering (an array of layers, each with an array of
* ordererd nodes) and a graph and returns a weighted crossing count.
*
* Pre-conditions:
*
* 1. Input graph must be simple (not a multigraph), directed, and include
* only simple edges.
* 2. Edges in the input graph must have assigned weights.
*
* Post-conditions:
*
* 1. The graph and layering matrix are left unchanged.
*
* This algorithm is derived from Barth, et al., "Bilayer Cross Counting."
*/
function crossCount(g, layering) {
var cc = 0;
for (var i = 1; i < layering.length; ++i) {
cc += twoLayerCrossCount(g, layering[i-1], layering[i]);
}
return cc;
}
function twoLayerCrossCount(g, northLayer, southLayer) {
// Sort all of the edges between the north and south layers by their position
// in the north layer and then the south. Map these edges to the position of
// their head in the south layer.
var southPos = _.zipObject(southLayer,
_.map(southLayer, function (v, i) { return i; }));
var southEntries = _.flatten(_.map(northLayer, function(v) {
return _.chain(g.outEdges(v))
.map(function(e) {
return { pos: southPos[e.w], weight: g.edge(e).weight };
})
.sortBy("pos")
.value();
}), true);
// Build the accumulator tree
var firstIndex = 1;
while (firstIndex < southLayer.length) firstIndex <<= 1;
var treeSize = 2 * firstIndex - 1;
firstIndex -= 1;
var tree = _.map(new Array(treeSize), function() { return 0; });
// Calculate the weighted crossings
var cc = 0;
_.each(southEntries.forEach(function(entry) {
var index = entry.pos + firstIndex;
tree[index] += entry.weight;
var weightSum = 0;
while (index > 0) {
if (index % 2) {
weightSum += tree[index + 1];
}
index = (index - 1) >> 1;
tree[index] += entry.weight;
}
cc += entry.weight * weightSum;
}));
return cc;
}
},{"../lodash":37}],44:[function(require,module,exports){
"use strict";
var _ = require("../lodash"),
initOrder = require("./init-order"),
crossCount = require("./cross-count"),
sortSubgraph = require("./sort-subgraph"),
buildLayerGraph = require("./build-layer-graph"),
addSubgraphConstraints = require("./add-subgraph-constraints"),
Graph = require("../graphlib").Graph,
util = require("../util");
module.exports = order;
/*
* Applies heuristics to minimize edge crossings in the graph and sets the best
* order solution as an order attribute on each node.
*
* Pre-conditions:
*
* 1. Graph must be DAG
* 2. Graph nodes must be objects with a "rank" attribute
* 3. Graph edges must have the "weight" attribute
*
* Post-conditions:
*
* 1. Graph nodes will have an "order" attribute based on the results of the
* algorithm.
*/
function order(g) {
var maxRank = util.maxRank(g),
downLayerGraphs = buildLayerGraphs(g, _.range(1, maxRank + 1), "inEdges"),
upLayerGraphs = buildLayerGraphs(g, _.range(maxRank - 1, -1, -1), "outEdges");
var layering = initOrder(g);
assignOrder(g, layering);
var bestCC = Number.POSITIVE_INFINITY,
best;
for (var i = 0, lastBest = 0; lastBest < 4; ++i, ++lastBest) {
sweepLayerGraphs(i % 2 ? downLayerGraphs : upLayerGraphs, i % 4 >= 2);
layering = util.buildLayerMatrix(g);
var cc = crossCount(g, layering);
if (cc < bestCC) {
lastBest = 0;
best = _.cloneDeep(layering);
bestCC = cc;
}
}
assignOrder(g, best);
}
function buildLayerGraphs(g, ranks, relationship) {
return _.map(ranks, function(rank) {
return buildLayerGraph(g, rank, relationship);
});
}
function sweepLayerGraphs(layerGraphs, biasRight) {
var cg = new Graph();
_.each(layerGraphs, function(lg) {
var root = lg.graph().root;
var sorted = sortSubgraph(lg, root, cg, biasRight);
_.each(sorted.vs, function(v, i) {
lg.node(v).order = i;
});
addSubgraphConstraints(lg, cg, sorted.vs);
});
}
function assignOrder(g, layering) {
_.each(layering, function(layer) {
_.each(layer, function(v, i) {
g.node(v).order = i;
});
});
}
},{"../graphlib":34,"../lodash":37,"../util":56,"./add-subgraph-constraints":40,"./build-layer-graph":42,"./cross-count":43,"./init-order":45,"./sort-subgraph":47}],45:[function(require,module,exports){
"use strict";
var _ = require("../lodash");
module.exports = initOrder;
/*
* Assigns an initial order value for each node by performing a DFS search
* starting from nodes in the first rank. Nodes are assigned an order in their
* rank as they are first visited.
*
* This approach comes from Gansner, et al., "A Technique for Drawing Directed
* Graphs."
*
* Returns a layering matrix with an array per layer and each layer sorted by
* the order of its nodes.
*/
function initOrder(g) {
var visited = {},
simpleNodes = _.filter(g.nodes(), function(v) {
return !g.children(v).length;
}),
maxRank = _.max(_.map(simpleNodes, function(v) { return g.node(v).rank; })),
layers = _.map(_.range(maxRank + 1), function() { return []; });
function dfs(v) {
if (_.has(visited, v)) return;
visited[v] = true;
var node = g.node(v);
layers[node.rank].push(v);
_.each(g.successors(v), dfs);
}
var orderedVs = _.sortBy(simpleNodes, function(v) { return g.node(v).rank; });
_.each(orderedVs, dfs);
return layers;
}
},{"../lodash":37}],46:[function(require,module,exports){
"use strict";
var _ = require("../lodash");
module.exports = resolveConflicts;
/*
* Given a list of entries of the form {v, barycenter, weight} and a
* constraint graph this function will resolve any conflicts between the
* constraint graph and the barycenters for the entries. If the barycenters for
* an entry would violate a constraint in the constraint graph then we coalesce
* the nodes in the conflict into a new node that respects the contraint and
* aggregates barycenter and weight information.
*
* This implementation is based on the description in Forster, "A Fast and
* Simple Hueristic for Constrained Two-Level Crossing Reduction," thought it
* differs in some specific details.
*
* Pre-conditions:
*
* 1. Each entry has the form {v, barycenter, weight}, or if the node has
* no barycenter, then {v}.
*
* Returns:
*
* A new list of entries of the form {vs, i, barycenter, weight}. The list
* `vs` may either be a singleton or it may be an aggregation of nodes
* ordered such that they do not violate constraints from the constraint
* graph. The property `i` is the lowest original index of any of the
* elements in `vs`.
*/
function resolveConflicts(entries, cg) {
var mappedEntries = {};
_.each(entries, function(entry, i) {
var tmp = mappedEntries[entry.v] = {
indegree: 0,
"in": [],
out: [],
vs: [entry.v],
i: i
};
if (!_.isUndefined(entry.barycenter)) {
tmp.barycenter = entry.barycenter;
tmp.weight = entry.weight;
}
});
_.each(cg.edges(), function(e) {
var entryV = mappedEntries[e.v],
entryW = mappedEntries[e.w];
if (!_.isUndefined(entryV) && !_.isUndefined(entryW)) {
entryW.indegree++;
entryV.out.push(mappedEntries[e.w]);
}
});
var sourceSet = _.filter(mappedEntries, function(entry) {
return !entry.indegree;
});
return doResolveConflicts(sourceSet);
}
function doResolveConflicts(sourceSet) {
var entries = [];
function handleIn(vEntry) {
return function(uEntry) {
if (uEntry.merged) {
return;
}
if (_.isUndefined(uEntry.barycenter) ||
_.isUndefined(vEntry.barycenter) ||
uEntry.barycenter >= vEntry.barycenter) {
mergeEntries(vEntry, uEntry);
}
};
}
function handleOut(vEntry) {
return function(wEntry) {
wEntry["in"].push(vEntry);
if (--wEntry.indegree === 0) {
sourceSet.push(wEntry);
}
};
}
while (sourceSet.length) {
var entry = sourceSet.pop();
entries.push(entry);
_.each(entry["in"].reverse(), handleIn(entry));
_.each(entry.out, handleOut(entry));
}
return _.chain(entries)
.filter(function(entry) { return !entry.merged; })
.map(function(entry) {
return _.pick(entry, ["vs", "i", "barycenter", "weight"]);
})
.value();
}
function mergeEntries(target, source) {
var sum = 0,
weight = 0;
if (target.weight) {
sum += target.barycenter * target.weight;
weight += target.weight;
}
if (source.weight) {
sum += source.barycenter * source.weight;
weight += source.weight;
}
target.vs = source.vs.concat(target.vs);
target.barycenter = sum / weight;
target.weight = weight;
target.i = Math.min(source.i, target.i);
source.merged = true;
}
},{"../lodash":37}],47:[function(require,module,exports){
var _ = require("../lodash"),
barycenter = require("./barycenter"),
resolveConflicts = require("./resolve-conflicts"),
sort = require("./sort");
module.exports = sortSubgraph;
function sortSubgraph(g, v, cg, biasRight) {
var movable = g.children(v),
node = g.node(v),
bl = node ? node.borderLeft : undefined,
br = node ? node.borderRight: undefined,
subgraphs = {};
if (bl) {
movable = _.filter(movable, function(w) {
return w !== bl && w !== br;
});
}
var barycenters = barycenter(g, movable);
_.each(barycenters, function(entry) {
if (g.children(entry.v).length) {
var subgraphResult = sortSubgraph(g, entry.v, cg, biasRight);
subgraphs[entry.v] = subgraphResult;
if (_.has(subgraphResult, "barycenter")) {
mergeBarycenters(entry, subgraphResult);
}
}
});
var entries = resolveConflicts(barycenters, cg);
expandSubgraphs(entries, subgraphs);
var result = sort(entries, biasRight);
if (bl) {
result.vs = _.flatten([bl, result.vs, br], true);
if (g.predecessors(bl).length) {
var blPred = g.node(g.predecessors(bl)[0]),
brPred = g.node(g.predecessors(br)[0]);
if (!_.has(result, "barycenter")) {
result.barycenter = 0;
result.weight = 0;
}
result.barycenter = (result.barycenter * result.weight +
blPred.order + brPred.order) / (result.weight + 2);
result.weight += 2;
}
}
return result;
}
function expandSubgraphs(entries, subgraphs) {
_.each(entries, function(entry) {
entry.vs = _.flatten(entry.vs.map(function(v) {
if (subgraphs[v]) {
return subgraphs[v].vs;
}
return v;
}), true);
});
}
function mergeBarycenters(target, other) {
if (!_.isUndefined(target.barycenter)) {
target.barycenter = (target.barycenter * target.weight +
other.barycenter * other.weight) /
(target.weight + other.weight);
target.weight += other.weight;
} else {
target.barycenter = other.barycenter;
target.weight = other.weight;
}
}
},{"../lodash":37,"./barycenter":41,"./resolve-conflicts":46,"./sort":48}],48:[function(require,module,exports){
var _ = require("../lodash"),
util = require("../util");
module.exports = sort;
function sort(entries, biasRight) {
var parts = util.partition(entries, function(entry) {
return _.has(entry, "barycenter");
});
var sortable = parts.lhs,
unsortable = _.sortBy(parts.rhs, function(entry) { return -entry.i; }),
vs = [],
sum = 0,
weight = 0,
vsIndex = 0;
sortable.sort(compareWithBias(!!biasRight));
vsIndex = consumeUnsortable(vs, unsortable, vsIndex);
_.each(sortable, function (entry) {
vsIndex += entry.vs.length;
vs.push(entry.vs);
sum += entry.barycenter * entry.weight;
weight += entry.weight;
vsIndex = consumeUnsortable(vs, unsortable, vsIndex);
});
var result = { vs: _.flatten(vs, true) };
if (weight) {
result.barycenter = sum / weight;
result.weight = weight;
}
return result;
}
function consumeUnsortable(vs, unsortable, index) {
var last;
while (unsortable.length && (last = _.last(unsortable)).i <= index) {
unsortable.pop();
vs.push(last.vs);
index++;
}
return index;
}
function compareWithBias(bias) {
return function(entryV, entryW) {
if (entryV.barycenter < entryW.barycenter) {
return -1;
} else if (entryV.barycenter > entryW.barycenter) {
return 1;
}
return !bias ? entryV.i - entryW.i : entryW.i - entryV.i;
};
}
},{"../lodash":37,"../util":56}],49:[function(require,module,exports){
var _ = require("./lodash");
module.exports = parentDummyChains;
function parentDummyChains(g) {
var postorderNums = postorder(g);
_.each(g.graph().dummyChains, function(v) {
var node = g.node(v),
edgeObj = node.edgeObj,
pathData = findPath(g, postorderNums, edgeObj.v, edgeObj.w),
path = pathData.path,
lca = pathData.lca,
pathIdx = 0,
pathV = path[pathIdx],
ascending = true;
while (v !== edgeObj.w) {
node = g.node(v);
if (ascending) {
while ((pathV = path[pathIdx]) !== lca &&
g.node(pathV).maxRank < node.rank) {
pathIdx++;
}
if (pathV === lca) {
ascending = false;
}
}
if (!ascending) {
while (pathIdx < path.length - 1 &&
g.node(pathV = path[pathIdx + 1]).minRank <= node.rank) {
pathIdx++;
}
pathV = path[pathIdx];
}
g.setParent(v, pathV);
v = g.successors(v)[0];
}
});
}
// Find a path from v to w through the lowest common ancestor (LCA). Return the
// full path and the LCA.
function findPath(g, postorderNums, v, w) {
var vPath = [],
wPath = [],
low = Math.min(postorderNums[v].low, postorderNums[w].low),
lim = Math.max(postorderNums[v].lim, postorderNums[w].lim),
parent,
lca;
// Traverse up from v to find the LCA
parent = v;
do {
parent = g.parent(parent);
vPath.push(parent);
} while (parent &&
(postorderNums[parent].low > low || lim > postorderNums[parent].lim));
lca = parent;
// Traverse from w to LCA
parent = w;
while ((parent = g.parent(parent)) !== lca) {
wPath.push(parent);
}
return { path: vPath.concat(wPath.reverse()), lca: lca };
}
function postorder(g) {
var result = {},
lim = 0;
function dfs(v) {
var low = lim;
_.each(g.children(v), dfs);
result[v] = { low: low, lim: lim++ };
}
_.each(g.children(), dfs);
return result;
}
},{"./lodash":37}],50:[function(require,module,exports){
"use strict";
var _ = require("../lodash"),
Graph = require("../graphlib").Graph,
util = require("../util");
/*
* This module provides coordinate assignment based on Brandes and Köpf, "Fast
* and Simple Horizontal Coordinate Assignment."
*/
module.exports = {
positionX: positionX,
findType1Conflicts: findType1Conflicts,
findType2Conflicts: findType2Conflicts,
addConflict: addConflict,
hasConflict: hasConflict,
verticalAlignment: verticalAlignment,
horizontalCompaction: horizontalCompaction,
alignCoordinates: alignCoordinates,
findSmallestWidthAlignment: findSmallestWidthAlignment,
balance: balance
};
/*
* Marks all edges in the graph with a type-1 conflict with the "type1Conflict"
* property. A type-1 conflict is one where a non-inner segment crosses an
* inner segment. An inner segment is an edge with both incident nodes marked
* with the "dummy" property.
*
* This algorithm scans layer by layer, starting with the second, for type-1
* conflicts between the current layer and the previous layer. For each layer
* it scans the nodes from left to right until it reaches one that is incident
* on an inner segment. It then scans predecessors to determine if they have
* edges that cross that inner segment. At the end a final scan is done for all
* nodes on the current rank to see if they cross the last visited inner
* segment.
*
* This algorithm (safely) assumes that a dummy node will only be incident on a
* single node in the layers being scanned.
*/
function findType1Conflicts(g, layering) {
var conflicts = {};
function visitLayer(prevLayer, layer) {
var
// last visited node in the previous layer that is incident on an inner
// segment.
k0 = 0,
// Tracks the last node in this layer scanned for crossings with a type-1
// segment.
scanPos = 0,
prevLayerLength = prevLayer.length,
lastNode = _.last(layer);
_.each(layer, function(v, i) {
var w = findOtherInnerSegmentNode(g, v),
k1 = w ? g.node(w).order : prevLayerLength;
if (w || v === lastNode) {
_.each(layer.slice(scanPos, i +1), function(scanNode) {
_.each(g.predecessors(scanNode), function(u) {
var uLabel = g.node(u),
uPos = uLabel.order;
if ((uPos < k0 || k1 < uPos) &&
!(uLabel.dummy && g.node(scanNode).dummy)) {
addConflict(conflicts, u, scanNode);
}
});
});
scanPos = i + 1;
k0 = k1;
}
});
return layer;
}
_.reduce(layering, visitLayer);
return conflicts;
}
function findType2Conflicts(g, layering) {
var conflicts = {};
function scan(south, southPos, southEnd, prevNorthBorder, nextNorthBorder) {
var v;
_.each(_.range(southPos, southEnd), function(i) {
v = south[i];
if (g.node(v).dummy) {
_.each(g.predecessors(v), function(u) {
var uNode = g.node(u);
if (uNode.dummy &&
(uNode.order < prevNorthBorder || uNode.order > nextNorthBorder)) {
addConflict(conflicts, u, v);
}
});
}
});
}
function visitLayer(north, south) {
var prevNorthPos = -1,
nextNorthPos,
southPos = 0;
_.each(south, function(v, southLookahead) {
if (g.node(v).dummy === "border") {
var predecessors = g.predecessors(v);
if (predecessors.length) {
nextNorthPos = g.node(predecessors[0]).order;
scan(south, southPos, southLookahead, prevNorthPos, nextNorthPos);
southPos = southLookahead;
prevNorthPos = nextNorthPos;
}
}
scan(south, southPos, south.length, nextNorthPos, north.length);
});
return south;
}
_.reduce(layering, visitLayer);
return conflicts;
}
function findOtherInnerSegmentNode(g, v) {
if (g.node(v).dummy) {
return _.find(g.predecessors(v), function(u) {
return g.node(u).dummy;
});
}
}
function addConflict(conflicts, v, w) {
if (v > w) {
var tmp = v;
v = w;
w = tmp;
}
var conflictsV = conflicts[v];
if (!conflictsV) {
conflicts[v] = conflictsV = {};
}
conflictsV[w] = true;
}
function hasConflict(conflicts, v, w) {
if (v > w) {
var tmp = v;
v = w;
w = tmp;
}
return _.has(conflicts[v], w);
}
/*
* Try to align nodes into vertical "blocks" where possible. This algorithm
* attempts to align a node with one of its median neighbors. If the edge
* connecting a neighbor is a type-1 conflict then we ignore that possibility.
* If a previous node has already formed a block with a node after the node
* we're trying to form a block with, we also ignore that possibility - our
* blocks would be split in that scenario.
*/
function verticalAlignment(g, layering, conflicts, neighborFn) {
var root = {},
align = {},
pos = {};
// We cache the position here based on the layering because the graph and
// layering may be out of sync. The layering matrix is manipulated to
// generate different extreme alignments.
_.each(layering, function(layer) {
_.each(layer, function(v, order) {
root[v] = v;
align[v] = v;
pos[v] = order;
});
});
_.each(layering, function(layer) {
var prevIdx = -1;
_.each(layer, function(v) {
var ws = neighborFn(v);
if (ws.length) {
ws = _.sortBy(ws, function(w) { return pos[w]; });
var mp = (ws.length - 1) / 2;
for (var i = Math.floor(mp), il = Math.ceil(mp); i <= il; ++i) {
var w = ws[i];
if (align[v] === v &&
prevIdx < pos[w] &&
!hasConflict(conflicts, v, w)) {
align[w] = v;
align[v] = root[v] = root[w];
prevIdx = pos[w];
}
}
}
});
});
return { root: root, align: align };
}
function horizontalCompaction(g, layering, root, align, reverseSep) {
// This portion of the algorithm differs from BK due to a number of problems.
// Instead of their algorithm we construct a new block graph and do two
// sweeps. The first sweep places blocks with the smallest possible
// coordinates. The second sweep removes unused space by moving blocks to the
// greatest coordinates without violating separation.
var xs = {},
blockG = buildBlockGraph(g, layering, root, reverseSep);
// First pass, assign smallest coordinates via DFS
var visited = {};
function pass1(v) {
if (!_.has(visited, v)) {
visited[v] = true;
xs[v] = _.reduce(blockG.inEdges(v), function(max, e) {
pass1(e.v);
return Math.max(max, xs[e.v] + blockG.edge(e));
}, 0);
}
}
_.each(blockG.nodes(), pass1);
function pass2(v) {
if (visited[v] !== 2) {
visited[v]++;
var min = _.reduce(blockG.outEdges(v), function(min, e) {
pass2(e.w);
return Math.min(min, xs[e.w] - blockG.edge(e));
}, Number.POSITIVE_INFINITY);
if (min !== Number.POSITIVE_INFINITY) {
xs[v] = Math.max(xs[v], min);
}
}
}
_.each(blockG.nodes(), pass2);
// Assign x coordinates to all nodes
_.each(align, function(v) {
xs[v] = xs[root[v]];
});
return xs;
}
function buildBlockGraph(g, layering, root, reverseSep) {
var blockGraph = new Graph(),
graphLabel = g.graph(),
sepFn = sep(graphLabel.nodesep, graphLabel.edgesep, reverseSep);
_.each(layering, function(layer) {
var u;
_.each(layer, function(v) {
var vRoot = root[v];
blockGraph.setNode(vRoot);
if (u) {
var uRoot = root[u],
prevMax = blockGraph.edge(uRoot, vRoot);
blockGraph.setEdge(uRoot, vRoot, Math.max(sepFn(g, v, u), prevMax || 0));
}
u = v;
});
});
return blockGraph;
}
/*
* Returns the alignment that has the smallest width of the given alignments.
*/
function findSmallestWidthAlignment(g, xss) {
return _.min(xss, function(xs) {
var min = _.min(xs, function(x, v) { return x - width(g, v) / 2; }),
max = _.max(xs, function(x, v) { return x + width(g, v) / 2; });
return max - min;
});
}
/*
* Align the coordinates of each of the layout alignments such that
* left-biased alignments have their minimum coordinate at the same point as
* the minimum coordinate of the smallest width alignment and right-biased
* alignments have their maximum coordinate at the same point as the maximum
* coordinate of the smallest width alignment.
*/
function alignCoordinates(xss, alignTo) {
var alignToMin = _.min(alignTo),
alignToMax = _.max(alignTo);
_.each(["u", "d"], function(vert) {
_.each(["l", "r"], function(horiz) {
var alignment = vert + horiz,
xs = xss[alignment],
delta;
if (xs === alignTo) return;
delta = horiz === "l" ? alignToMin - _.min(xs) : alignToMax - _.max(xs);
if (delta) {
xss[alignment] = _.mapValues(xs, function(x) { return x + delta; });
}
});
});
}
function balance(xss, align) {
return _.mapValues(xss.ul, function(ignore, v) {
if (align) {
return xss[align.toLowerCase()][v];
} else {
var xs = _.sortBy(_.pluck(xss, v));
return (xs[1] + xs[2]) / 2;
}
});
}
function positionX(g) {
var layering = util.buildLayerMatrix(g),
conflicts = _.merge(findType1Conflicts(g, layering),
findType2Conflicts(g, layering));
var xss = {},
adjustedLayering;
_.each(["u", "d"], function(vert) {
adjustedLayering = vert === "u" ? layering : _.values(layering).reverse();
_.each(["l", "r"], function(horiz) {
if (horiz === "r") {
adjustedLayering = _.map(adjustedLayering, function(inner) {
return _.values(inner).reverse();
});
}
var neighborFn = _.bind(vert === "u" ? g.predecessors : g.successors, g);
var align = verticalAlignment(g, adjustedLayering, conflicts, neighborFn);
var xs = horizontalCompaction(g, adjustedLayering,
align.root, align.align,
horiz === "r");
if (horiz === "r") {
xs = _.mapValues(xs, function(x) { return -x; });
}
xss[vert + horiz] = xs;
});
});
var smallestWidth = findSmallestWidthAlignment(g, xss);
alignCoordinates(xss, smallestWidth);
return balance(xss, g.graph().align);
}
function sep(nodeSep, edgeSep, reverseSep) {
return function(g, v, w) {
var vLabel = g.node(v),
wLabel = g.node(w),
sum = 0,
delta;
sum += vLabel.width / 2;
if (_.has(vLabel, "labelpos")) {
switch (vLabel.labelpos.toLowerCase()) {
case "l": delta = -vLabel.width / 2; break;
case "r": delta = vLabel.width / 2; break;
}
}
if (delta) {
sum += reverseSep ? delta : -delta;
}
delta = 0;
sum += (vLabel.dummy ? edgeSep : nodeSep) / 2;
sum += (wLabel.dummy ? edgeSep : nodeSep) / 2;
sum += wLabel.width / 2;
if (_.has(wLabel, "labelpos")) {
switch (wLabel.labelpos.toLowerCase()) {
case "l": delta = wLabel.width / 2; break;
case "r": delta = -wLabel.width / 2; break;
}
}
if (delta) {
sum += reverseSep ? delta : -delta;
}
delta = 0;
return sum;
};
}
function width(g, v) {
return g.node(v).width;
}
},{"../graphlib":34,"../lodash":37,"../util":56}],51:[function(require,module,exports){
"use strict";
var _ = require("../lodash"),
util = require("../util"),
positionX = require("./bk").positionX;
module.exports = position;
function position(g) {
g = util.asNonCompoundGraph(g);
positionY(g);
_.each(positionX(g), function(x, v) {
g.node(v).x = x;
});
}
function positionY(g) {
var layering = util.buildLayerMatrix(g),
rankSep = g.graph().ranksep,
prevY = 0;
_.each(layering, function(layer) {
var maxHeight = _.max(_.map(layer, function(v) { return g.node(v).height; }));
_.each(layer, function(v) {
g.node(v).y = prevY + maxHeight / 2;
});
prevY += maxHeight + rankSep;
});
}
},{"../lodash":37,"../util":56,"./bk":50}],52:[function(require,module,exports){
"use strict";
var _ = require("../lodash"),
Graph = require("../graphlib").Graph,
slack = require("./util").slack;
module.exports = feasibleTree;
/*
* Constructs a spanning tree with tight edges and adjusted the input node's
* ranks to achieve this. A tight edge is one that is has a length that matches
* its "minlen" attribute.
*
* The basic structure for this function is derived from Gansner, et al., "A
* Technique for Drawing Directed Graphs."
*
* Pre-conditions:
*
* 1. Graph must be a DAG.
* 2. Graph must be connected.
* 3. Graph must have at least one node.
* 5. Graph nodes must have been previously assigned a "rank" property that
* respects the "minlen" property of incident edges.
* 6. Graph edges must have a "minlen" property.
*
* Post-conditions:
*
* - Graph nodes will have their rank adjusted to ensure that all edges are
* tight.
*
* Returns a tree (undirected graph) that is constructed using only "tight"
* edges.
*/
function feasibleTree(g) {
var t = new Graph({ directed: false });
// Choose arbitrary node from which to start our tree
var start = g.nodes()[0],
size = g.nodeCount();
t.setNode(start, {});
var edge, delta;
while (tightTree(t, g) < size) {
edge = findMinSlackEdge(t, g);
delta = t.hasNode(edge.v) ? slack(g, edge) : -slack(g, edge);
shiftRanks(t, g, delta);
}
return t;
}
/*
* Finds a maximal tree of tight edges and returns the number of nodes in the
* tree.
*/
function tightTree(t, g) {
function dfs(v) {
_.each(g.nodeEdges(v), function(e) {
var edgeV = e.v,
w = (v === edgeV) ? e.w : edgeV;
if (!t.hasNode(w) && !slack(g, e)) {
t.setNode(w, {});
t.setEdge(v, w, {});
dfs(w);
}
});
}
_.each(t.nodes(), dfs);
return t.nodeCount();
}
/*
* Finds the edge with the smallest slack that is incident on tree and returns
* it.
*/
function findMinSlackEdge(t, g) {
return _.min(g.edges(), function(e) {
if (t.hasNode(e.v) !== t.hasNode(e.w)) {
return slack(g, e);
}
});
}
function shiftRanks(t, g, delta) {
_.each(t.nodes(), function(v) {
g.node(v).rank += delta;
});
}
},{"../graphlib":34,"../lodash":37,"./util":55}],53:[function(require,module,exports){
"use strict";
var rankUtil = require("./util"),
longestPath = rankUtil.longestPath,
feasibleTree = require("./feasible-tree"),
networkSimplex = require("./network-simplex");
module.exports = rank;
/*
* Assigns a rank to each node in the input graph that respects the "minlen"
* constraint specified on edges between nodes.
*
* This basic structure is derived from Gansner, et al., "A Technique for
* Drawing Directed Graphs."
*
* Pre-conditions:
*
* 1. Graph must be a connected DAG
* 2. Graph nodes must be objects
* 3. Graph edges must have "weight" and "minlen" attributes
*
* Post-conditions:
*
* 1. Graph nodes will have a "rank" attribute based on the results of the
* algorithm. Ranks can start at any index (including negative), we'll
* fix them up later.
*/
function rank(g) {
switch(g.graph().ranker) {
case "network-simplex": networkSimplexRanker(g); break;
case "tight-tree": tightTreeRanker(g); break;
case "longest-path": longestPathRanker(g); break;
default: networkSimplexRanker(g);
}
}
// A fast and simple ranker, but results are far from optimal.
var longestPathRanker = longestPath;
function tightTreeRanker(g) {
longestPath(g);
feasibleTree(g);
}
function networkSimplexRanker(g) {
networkSimplex(g);
}
},{"./feasible-tree":52,"./network-simplex":54,"./util":55}],54:[function(require,module,exports){
"use strict";
var _ = require("../lodash"),
feasibleTree = require("./feasible-tree"),
slack = require("./util").slack,
initRank = require("./util").longestPath,
preorder = require("../graphlib").alg.preorder,
postorder = require("../graphlib").alg.postorder,
simplify = require("../util").simplify;
module.exports = networkSimplex;
// Expose some internals for testing purposes
networkSimplex.initLowLimValues = initLowLimValues;
networkSimplex.initCutValues = initCutValues;
networkSimplex.calcCutValue = calcCutValue;
networkSimplex.leaveEdge = leaveEdge;
networkSimplex.enterEdge = enterEdge;
networkSimplex.exchangeEdges = exchangeEdges;
/*
* The network simplex algorithm assigns ranks to each node in the input graph
* and iteratively improves the ranking to reduce the length of edges.
*
* Preconditions:
*
* 1. The input graph must be a DAG.
* 2. All nodes in the graph must have an object value.
* 3. All edges in the graph must have "minlen" and "weight" attributes.
*
* Postconditions:
*
* 1. All nodes in the graph will have an assigned "rank" attribute that has
* been optimized by the network simplex algorithm. Ranks start at 0.
*
*
* A rough sketch of the algorithm is as follows:
*
* 1. Assign initial ranks to each node. We use the longest path algorithm,
* which assigns ranks to the lowest position possible. In general this
* leads to very wide bottom ranks and unnecessarily long edges.
* 2. Construct a feasible tight tree. A tight tree is one such that all
* edges in the tree have no slack (difference between length of edge
* and minlen for the edge). This by itself greatly improves the assigned
* rankings by shorting edges.
* 3. Iteratively find edges that have negative cut values. Generally a
* negative cut value indicates that the edge could be removed and a new
* tree edge could be added to produce a more compact graph.
*
* Much of the algorithms here are derived from Gansner, et al., "A Technique
* for Drawing Directed Graphs." The structure of the file roughly follows the
* structure of the overall algorithm.
*/
function networkSimplex(g) {
g = simplify(g);
initRank(g);
var t = feasibleTree(g);
initLowLimValues(t);
initCutValues(t, g);
var e, f;
while ((e = leaveEdge(t))) {
f = enterEdge(t, g, e);
exchangeEdges(t, g, e, f);
}
}
/*
* Initializes cut values for all edges in the tree.
*/
function initCutValues(t, g) {
var vs = postorder(t, t.nodes());
vs = vs.slice(0, vs.length - 1);
_.each(vs, function(v) {
assignCutValue(t, g, v);
});
}
function assignCutValue(t, g, child) {
var childLab = t.node(child),
parent = childLab.parent;
t.edge(child, parent).cutvalue = calcCutValue(t, g, child);
}
/*
* Given the tight tree, its graph, and a child in the graph calculate and
* return the cut value for the edge between the child and its parent.
*/
function calcCutValue(t, g, child) {
var childLab = t.node(child),
parent = childLab.parent,
// True if the child is on the tail end of the edge in the directed graph
childIsTail = true,
// The graph's view of the tree edge we're inspecting
graphEdge = g.edge(child, parent),
// The accumulated cut value for the edge between this node and its parent
cutValue = 0;
if (!graphEdge) {
childIsTail = false;
graphEdge = g.edge(parent, child);
}
cutValue = graphEdge.weight;
_.each(g.nodeEdges(child), function(e) {
var isOutEdge = e.v === child,
other = isOutEdge ? e.w : e.v;
if (other !== parent) {
var pointsToHead = isOutEdge === childIsTail,
otherWeight = g.edge(e).weight;
cutValue += pointsToHead ? otherWeight : -otherWeight;
if (isTreeEdge(t, child, other)) {
var otherCutValue = t.edge(child, other).cutvalue;
cutValue += pointsToHead ? -otherCutValue : otherCutValue;
}
}
});
return cutValue;
}
function initLowLimValues(tree, root) {
if (arguments.length < 2) {
root = tree.nodes()[0];
}
dfsAssignLowLim(tree, {}, 1, root);
}
function dfsAssignLowLim(tree, visited, nextLim, v, parent) {
var low = nextLim,
label = tree.node(v);
visited[v] = true;
_.each(tree.neighbors(v), function(w) {
if (!_.has(visited, w)) {
nextLim = dfsAssignLowLim(tree, visited, nextLim, w, v);
}
});
label.low = low;
label.lim = nextLim++;
if (parent) {
label.parent = parent;
} else {
// TODO should be able to remove this when we incrementally update low lim
delete label.parent;
}
return nextLim;
}
function leaveEdge(tree) {
return _.find(tree.edges(), function(e) {
return tree.edge(e).cutvalue < 0;
});
}
function enterEdge(t, g, edge) {
var v = edge.v,
w = edge.w;
// For the rest of this function we assume that v is the tail and w is the
// head, so if we don't have this edge in the graph we should flip it to
// match the correct orientation.
if (!g.hasEdge(v, w)) {
v = edge.w;
w = edge.v;
}
var vLabel = t.node(v),
wLabel = t.node(w),
tailLabel = vLabel,
flip = false;
// If the root is in the tail of the edge then we need to flip the logic that
// checks for the head and tail nodes in the candidates function below.
if (vLabel.lim > wLabel.lim) {
tailLabel = wLabel;
flip = true;
}
var candidates = _.filter(g.edges(), function(edge) {
return flip === isDescendant(t, t.node(edge.v), tailLabel) &&
flip !== isDescendant(t, t.node(edge.w), tailLabel);
});
return _.min(candidates, function(edge) { return slack(g, edge); });
}
function exchangeEdges(t, g, e, f) {
var v = e.v,
w = e.w;
t.removeEdge(v, w);
t.setEdge(f.v, f.w, {});
initLowLimValues(t);
initCutValues(t, g);
updateRanks(t, g);
}
function updateRanks(t, g) {
var root = _.find(t.nodes(), function(v) { return !g.node(v).parent; }),
vs = preorder(t, root);
vs = vs.slice(1);
_.each(vs, function(v) {
var parent = t.node(v).parent,
edge = g.edge(v, parent),
flipped = false;
if (!edge) {
edge = g.edge(parent, v);
flipped = true;
}
g.node(v).rank = g.node(parent).rank + (flipped ? edge.minlen : -edge.minlen);
});
}
/*
* Returns true if the edge is in the tree.
*/
function isTreeEdge(tree, u, v) {
return tree.hasEdge(u, v);
}
/*
* Returns true if the specified node is descendant of the root node per the
* assigned low and lim attributes in the tree.
*/
function isDescendant(tree, vLabel, rootLabel) {
return rootLabel.low <= vLabel.lim && vLabel.lim <= rootLabel.lim;
}
},{"../graphlib":34,"../lodash":37,"../util":56,"./feasible-tree":52,"./util":55}],55:[function(require,module,exports){
"use strict";
var _ = require("../lodash");
module.exports = {
longestPath: longestPath,
slack: slack
};
/*
* Initializes ranks for the input graph using the longest path algorithm. This
* algorithm scales well and is fast in practice, it yields rather poor
* solutions. Nodes are pushed to the lowest layer possible, leaving the bottom
* ranks wide and leaving edges longer than necessary. However, due to its
* speed, this algorithm is good for getting an initial ranking that can be fed
* into other algorithms.
*
* This algorithm does not normalize layers because it will be used by other
* algorithms in most cases. If using this algorithm directly, be sure to
* run normalize at the end.
*
* Pre-conditions:
*
* 1. Input graph is a DAG.
* 2. Input graph node labels can be assigned properties.
*
* Post-conditions:
*
* 1. Each node will be assign an (unnormalized) "rank" property.
*/
function longestPath(g) {
var visited = {};
function dfs(v) {
var label = g.node(v);
if (_.has(visited, v)) {
return label.rank;
}
visited[v] = true;
var rank = _.min(_.map(g.outEdges(v), function(e) {
return dfs(e.w) - g.edge(e).minlen;
}));
if (rank === Number.POSITIVE_INFINITY) {
rank = 0;
}
return (label.rank = rank);
}
_.each(g.sources(), dfs);
}
/*
* Returns the amount of slack for the given edge. The slack is defined as the
* difference between the length of the edge and its minimum length.
*/
function slack(g, e) {
return g.node(e.w).rank - g.node(e.v).rank - g.edge(e).minlen;
}
},{"../lodash":37}],56:[function(require,module,exports){
"use strict";
var _ = require("./lodash"),
Graph = require("./graphlib").Graph;
module.exports = {
addDummyNode: addDummyNode,
simplify: simplify,
asNonCompoundGraph: asNonCompoundGraph,
successorWeights: successorWeights,
predecessorWeights: predecessorWeights,
intersectRect: intersectRect,
buildLayerMatrix: buildLayerMatrix,
normalizeRanks: normalizeRanks,
removeEmptyRanks: removeEmptyRanks,
addBorderNode: addBorderNode,
maxRank: maxRank,
partition: partition,
time: time,
notime: notime
};
/*
* Adds a dummy node to the graph and return v.
*/
function addDummyNode(g, type, attrs, name) {
var v;
do {
v = _.uniqueId(name);
} while (g.hasNode(v));
attrs.dummy = type;
g.setNode(v, attrs);
return v;
}
/*
* Returns a new graph with only simple edges. Handles aggregation of data
* associated with multi-edges.
*/
function simplify(g) {
var simplified = new Graph().setGraph(g.graph());
_.each(g.nodes(), function(v) { simplified.setNode(v, g.node(v)); });
_.each(g.edges(), function(e) {
var simpleLabel = simplified.edge(e.v, e.w) || { weight: 0, minlen: 1 },
label = g.edge(e);
simplified.setEdge(e.v, e.w, {
weight: simpleLabel.weight + label.weight,
minlen: Math.max(simpleLabel.minlen, label.minlen)
});
});
return simplified;
}
function asNonCompoundGraph(g) {
var simplified = new Graph({ multigraph: g.isMultigraph() }).setGraph(g.graph());
_.each(g.nodes(), function(v) {
if (!g.children(v).length) {
simplified.setNode(v, g.node(v));
}
});
_.each(g.edges(), function(e) {
simplified.setEdge(e, g.edge(e));
});
return simplified;
}
function successorWeights(g) {
var weightMap = _.map(g.nodes(), function(v) {
var sucs = {};
_.each(g.outEdges(v), function(e) {
sucs[e.w] = (sucs[e.w] || 0) + g.edge(e).weight;
});
return sucs;
});
return _.zipObject(g.nodes(), weightMap);
}
function predecessorWeights(g) {
var weightMap = _.map(g.nodes(), function(v) {
var preds = {};
_.each(g.inEdges(v), function(e) {
preds[e.v] = (preds[e.v] || 0) + g.edge(e).weight;
});
return preds;
});
return _.zipObject(g.nodes(), weightMap);
}
/*
* Finds where a line starting at point ({x, y}) would intersect a rectangle
* ({x, y, width, height}) if it were pointing at the rectangle's center.
*/
function intersectRect(rect, point) {
var x = rect.x;
var y = rect.y;
// Rectangle intersection algorithm from:
// http://math.stackexchange.com/questions/108113/find-edge-between-two-boxes
var dx = point.x - x;
var dy = point.y - y;
var w = rect.width / 2;
var h = rect.height / 2;
if (!dx && !dy) {
throw new Error("Not possible to find intersection inside of the rectangle");
}
var sx, sy;
if (Math.abs(dy) * w > Math.abs(dx) * h) {
// Intersection is top or bottom of rect.
if (dy < 0) {
h = -h;
}
sx = h * dx / dy;
sy = h;
} else {
// Intersection is left or right of rect.
if (dx < 0) {
w = -w;
}
sx = w;
sy = w * dy / dx;
}
return { x: x + sx, y: y + sy };
}
/*
* Given a DAG with each node assigned "rank" and "order" properties, this
* function will produce a matrix with the ids of each node.
*/
function buildLayerMatrix(g) {
var layering = _.map(_.range(maxRank(g) + 1), function() { return []; });
_.each(g.nodes(), function(v) {
var node = g.node(v),
rank = node.rank;
if (!_.isUndefined(rank)) {
layering[rank][node.order] = v;
}
});
return layering;
}
/*
* Adjusts the ranks for all nodes in the graph such that all nodes v have
* rank(v) >= 0 and at least one node w has rank(w) = 0.
*/
function normalizeRanks(g) {
var min = _.min(_.map(g.nodes(), function(v) { return g.node(v).rank; }));
_.each(g.nodes(), function(v) {
var node = g.node(v);
if (_.has(node, "rank")) {
node.rank -= min;
}
});
}
function removeEmptyRanks(g) {
// Ranks may not start at 0, so we need to offset them
var offset = _.min(_.map(g.nodes(), function(v) { return g.node(v).rank; }));
var layers = [];
_.each(g.nodes(), function(v) {
var rank = g.node(v).rank - offset;
if (!_.has(layers, rank)) {
layers[rank] = [];
}
layers[rank].push(v);
});
var delta = 0,
nodeRankFactor = g.graph().nodeRankFactor;
_.each(layers, function(vs, i) {
if (_.isUndefined(vs) && i % nodeRankFactor !== 0) {
--delta;
} else if (delta) {
_.each(vs, function(v) { g.node(v).rank += delta; });
}
});
}
function addBorderNode(g, prefix, rank, order) {
var node = {
width: 0,
height: 0
};
if (arguments.length >= 4) {
node.rank = rank;
node.order = order;
}
return addDummyNode(g, "border", node, prefix);
}
function maxRank(g) {
return _.max(_.map(g.nodes(), function(v) {
var rank = g.node(v).rank;
if (!_.isUndefined(rank)) {
return rank;
}
}));
}
/*
* Partition a collection into two groups: `lhs` and `rhs`. If the supplied
* function returns true for an entry it goes into `lhs`. Otherwise it goes
* into `rhs.
*/
function partition(collection, fn) {
var result = { lhs: [], rhs: [] };
_.each(collection, function(value) {
if (fn(value)) {
result.lhs.push(value);
} else {
result.rhs.push(value);
}
});
return result;
}
/*
* Returns a new function that wraps `fn` with a timer. The wrapper logs the
* time it takes to execute the function.
*/
function time(name, fn) {
var start = _.now();
try {
return fn();
} finally {
console.log(name + " time: " + (_.now() - start) + "ms");
}
}
function notime(name, fn) {
return fn();
}
},{"./graphlib":34,"./lodash":37}],57:[function(require,module,exports){
module.exports = "0.7.1";
},{}],58:[function(require,module,exports){
/**
* Copyright (c) 2014, Chris Pettitt
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions are met:
*
* 1. Redistributions of source code must retain the above copyright notice, this
* list of conditions and the following disclaimer.
*
* 2. Redistributions in binary form must reproduce the above copyright notice,
* this list of conditions and the following disclaimer in the documentation
* and/or other materials provided with the distribution.
*
* 3. Neither the name of the copyright holder nor the names of its contributors
* may be used to endorse or promote products derived from this software without
* specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
* WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
* SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
* OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
var lib = require("./lib");
module.exports = {
Graph: lib.Graph,
json: require("./lib/json"),
alg: require("./lib/alg"),
version: lib.version
};
},{"./lib":74,"./lib/alg":65,"./lib/json":75}],59:[function(require,module,exports){
var _ = require("../lodash");
module.exports = components;
function components(g) {
var visited = {},
cmpts = [],
cmpt;
function dfs(v) {
if (_.has(visited, v)) return;
visited[v] = true;
cmpt.push(v);
_.each(g.successors(v), dfs);
_.each(g.predecessors(v), dfs);
}
_.each(g.nodes(), function(v) {
cmpt = [];
dfs(v);
if (cmpt.length) {
cmpts.push(cmpt);
}
});
return cmpts;
}
},{"../lodash":76}],60:[function(require,module,exports){
var _ = require("../lodash");
module.exports = dfs;
/*
* A helper that preforms a pre- or post-order traversal on the input graph
* and returns the nodes in the order they were visited. This algorithm treats
* the input as undirected.
*
* Order must be one of "pre" or "post".
*/
function dfs(g, vs, order) {
if (!_.isArray(vs)) {
vs = [vs];
}
var acc = [],
visited = {};
_.each(vs, function(v) {
if (!g.hasNode(v)) {
throw new Error("Graph does not have node: " + v);
}
doDfs(g, v, order === "post", visited, acc);
});
return acc;
}
function doDfs(g, v, postorder, visited, acc) {
if (!_.has(visited, v)) {
visited[v] = true;
if (!postorder) { acc.push(v); }
_.each(g.neighbors(v), function(w) {
doDfs(g, w, postorder, visited, acc);
});
if (postorder) { acc.push(v); }
}
}
},{"../lodash":76}],61:[function(require,module,exports){
var dijkstra = require("./dijkstra"),
_ = require("../lodash");
module.exports = dijkstraAll;
function dijkstraAll(g, weightFunc, edgeFunc) {
return _.transform(g.nodes(), function(acc, v) {
acc[v] = dijkstra(g, v, weightFunc, edgeFunc);
}, {});
}
},{"../lodash":76,"./dijkstra":62}],62:[function(require,module,exports){
var _ = require("../lodash"),
PriorityQueue = require("../data/priority-queue");
module.exports = dijkstra;
var DEFAULT_WEIGHT_FUNC = _.constant(1);
function dijkstra(g, source, weightFn, edgeFn) {
return runDijkstra(g, String(source),
weightFn || DEFAULT_WEIGHT_FUNC,
edgeFn || function(v) { return g.outEdges(v); });
}
function runDijkstra(g, source, weightFn, edgeFn) {
var results = {},
pq = new PriorityQueue(),
v, vEntry;
var updateNeighbors = function(edge) {
var w = edge.v !== v ? edge.v : edge.w,
wEntry = results[w],
weight = weightFn(edge),
distance = vEntry.distance + weight;
if (weight < 0) {
throw new Error("dijkstra does not allow negative edge weights. " +
"Bad edge: " + edge + " Weight: " + weight);
}
if (distance < wEntry.distance) {
wEntry.distance = distance;
wEntry.predecessor = v;
pq.decrease(w, distance);
}
};
g.nodes().forEach(function(v) {
var distance = v === source ? 0 : Number.POSITIVE_INFINITY;
results[v] = { distance: distance };
pq.add(v, distance);
});
while (pq.size() > 0) {
v = pq.removeMin();
vEntry = results[v];
if (vEntry.distance === Number.POSITIVE_INFINITY) {
break;
}
edgeFn(v).forEach(updateNeighbors);
}
return results;
}
},{"../data/priority-queue":72,"../lodash":76}],63:[function(require,module,exports){
var _ = require("../lodash"),
tarjan = require("./tarjan");
module.exports = findCycles;
function findCycles(g) {
return _.filter(tarjan(g), function(cmpt) { return cmpt.length > 1; });
}
},{"../lodash":76,"./tarjan":70}],64:[function(require,module,exports){
var _ = require("../lodash");
module.exports = floydWarshall;
var DEFAULT_WEIGHT_FUNC = _.constant(1);
function floydWarshall(g, weightFn, edgeFn) {
return runFloydWarshall(g,
weightFn || DEFAULT_WEIGHT_FUNC,
edgeFn || function(v) { return g.outEdges(v); });
}
function runFloydWarshall(g, weightFn, edgeFn) {
var results = {},
nodes = g.nodes();
nodes.forEach(function(v) {
results[v] = {};
results[v][v] = { distance: 0 };
nodes.forEach(function(w) {
if (v !== w) {
results[v][w] = { distance: Number.POSITIVE_INFINITY };
}
});
edgeFn(v).forEach(function(edge) {
var w = edge.v === v ? edge.w : edge.v,
d = weightFn(edge);
results[v][w] = { distance: d, predecessor: v };
});
});
nodes.forEach(function(k) {
var rowK = results[k];
nodes.forEach(function(i) {
var rowI = results[i];
nodes.forEach(function(j) {
var ik = rowI[k];
var kj = rowK[j];
var ij = rowI[j];
var altDistance = ik.distance + kj.distance;
if (altDistance < ij.distance) {
ij.distance = altDistance;
ij.predecessor = kj.predecessor;
}
});
});
});
return results;
}
},{"../lodash":76}],65:[function(require,module,exports){
module.exports = {
components: require("./components"),
dijkstra: require("./dijkstra"),
dijkstraAll: require("./dijkstra-all"),
findCycles: require("./find-cycles"),
floydWarshall: require("./floyd-warshall"),
isAcyclic: require("./is-acyclic"),
postorder: require("./postorder"),
preorder: require("./preorder"),
prim: require("./prim"),
tarjan: require("./tarjan"),
topsort: require("./topsort")
};
},{"./components":59,"./dijkstra":62,"./dijkstra-all":61,"./find-cycles":63,"./floyd-warshall":64,"./is-acyclic":66,"./postorder":67,"./preorder":68,"./prim":69,"./tarjan":70,"./topsort":71}],66:[function(require,module,exports){
var topsort = require("./topsort");
module.exports = isAcyclic;
function isAcyclic(g) {
try {
topsort(g);
} catch (e) {
if (e instanceof topsort.CycleException) {
return false;
}
throw e;
}
return true;
}
},{"./topsort":71}],67:[function(require,module,exports){
var dfs = require("./dfs");
module.exports = postorder;
function postorder(g, vs) {
return dfs(g, vs, "post");
}
},{"./dfs":60}],68:[function(require,module,exports){
var dfs = require("./dfs");
module.exports = preorder;
function preorder(g, vs) {
return dfs(g, vs, "pre");
}
},{"./dfs":60}],69:[function(require,module,exports){
var _ = require("../lodash"),
Graph = require("../graph"),
PriorityQueue = require("../data/priority-queue");
module.exports = prim;
function prim(g, weightFunc) {
var result = new Graph(),
parents = {},
pq = new PriorityQueue(),
v;
function updateNeighbors(edge) {
var w = edge.v === v ? edge.w : edge.v,
pri = pq.priority(w);
if (pri !== undefined) {
var edgeWeight = weightFunc(edge);
if (edgeWeight < pri) {
parents[w] = v;
pq.decrease(w, edgeWeight);
}
}
}
if (g.nodeCount() === 0) {
return result;
}
_.each(g.nodes(), function(v) {
pq.add(v, Number.POSITIVE_INFINITY);
result.setNode(v);
});
// Start from an arbitrary node
pq.decrease(g.nodes()[0], 0);
var init = false;
while (pq.size() > 0) {
v = pq.removeMin();
if (_.has(parents, v)) {
result.setEdge(v, parents[v]);
} else if (init) {
throw new Error("Input graph is not connected: " + g);
} else {
init = true;
}
g.nodeEdges(v).forEach(updateNeighbors);
}
return result;
}
},{"../data/priority-queue":72,"../graph":73,"../lodash":76}],70:[function(require,module,exports){
var _ = require("../lodash");
module.exports = tarjan;
function tarjan(g) {
var index = 0,
stack = [],
visited = {}, // node id -> { onStack, lowlink, index }
results = [];
function dfs(v) {
var entry = visited[v] = {
onStack: true,
lowlink: index,
index: index++
};
stack.push(v);
g.successors(v).forEach(function(w) {
if (!_.has(visited, w)) {
dfs(w);
entry.lowlink = Math.min(entry.lowlink, visited[w].lowlink);
} else if (visited[w].onStack) {
entry.lowlink = Math.min(entry.lowlink, visited[w].index);
}
});
if (entry.lowlink === entry.index) {
var cmpt = [],
w;
do {
w = stack.pop();
visited[w].onStack = false;
cmpt.push(w);
} while (v !== w);
results.push(cmpt);
}
}
g.nodes().forEach(function(v) {
if (!_.has(visited, v)) {
dfs(v);
}
});
return results;
}
},{"../lodash":76}],71:[function(require,module,exports){
var _ = require("../lodash");
module.exports = topsort;
topsort.CycleException = CycleException;
function topsort(g) {
var visited = {},
stack = {},
results = [];
function visit(node) {
if (_.has(stack, node)) {
throw new CycleException();
}
if (!_.has(visited, node)) {
stack[node] = true;
visited[node] = true;
_.each(g.predecessors(node), visit);
delete stack[node];
results.push(node);
}
}
_.each(g.sinks(), visit);
if (_.size(visited) !== g.nodeCount()) {
throw new CycleException();
}
return results;
}
function CycleException() {}
},{"../lodash":76}],72:[function(require,module,exports){
var _ = require("../lodash");
module.exports = PriorityQueue;
/**
* A min-priority queue data structure. This algorithm is derived from Cormen,
* et al., "Introduction to Algorithms". The basic idea of a min-priority
* queue is that you can efficiently (in O(1) time) get the smallest key in
* the queue. Adding and removing elements takes O(log n) time. A key can
* have its priority decreased in O(log n) time.
*/
function PriorityQueue() {
this._arr = [];
this._keyIndices = {};
}
/**
* Returns the number of elements in the queue. Takes `O(1)` time.
*/
PriorityQueue.prototype.size = function() {
return this._arr.length;
};
/**
* Returns the keys that are in the queue. Takes `O(n)` time.
*/
PriorityQueue.prototype.keys = function() {
return this._arr.map(function(x) { return x.key; });
};
/**
* Returns `true` if **key** is in the queue and `false` if not.
*/
PriorityQueue.prototype.has = function(key) {
return _.has(this._keyIndices, key);
};
/**
* Returns the priority for **key**. If **key** is not present in the queue
* then this function returns `undefined`. Takes `O(1)` time.
*
* @param {Object} key
*/
PriorityQueue.prototype.priority = function(key) {
var index = this._keyIndices[key];
if (index !== undefined) {
return this._arr[index].priority;
}
};
/**
* Returns the key for the minimum element in this queue. If the queue is
* empty this function throws an Error. Takes `O(1)` time.
*/
PriorityQueue.prototype.min = function() {
if (this.size() === 0) {
throw new Error("Queue underflow");
}
return this._arr[0].key;
};
/**
* Inserts a new key into the priority queue. If the key already exists in
* the queue this function returns `false`; otherwise it will return `true`.
* Takes `O(n)` time.
*
* @param {Object} key the key to add
* @param {Number} priority the initial priority for the key
*/
PriorityQueue.prototype.add = function(key, priority) {
var keyIndices = this._keyIndices;
key = String(key);
if (!_.has(keyIndices, key)) {
var arr = this._arr;
var index = arr.length;
keyIndices[key] = index;
arr.push({key: key, priority: priority});
this._decrease(index);
return true;
}
return false;
};
/**
* Removes and returns the smallest key in the queue. Takes `O(log n)` time.
*/
PriorityQueue.prototype.removeMin = function() {
this._swap(0, this._arr.length - 1);
var min = this._arr.pop();
delete this._keyIndices[min.key];
this._heapify(0);
return min.key;
};
/**
* Decreases the priority for **key** to **priority**. If the new priority is
* greater than the previous priority, this function will throw an Error.
*
* @param {Object} key the key for which to raise priority
* @param {Number} priority the new priority for the key
*/
PriorityQueue.prototype.decrease = function(key, priority) {
var index = this._keyIndices[key];
if (priority > this._arr[index].priority) {
throw new Error("New priority is greater than current priority. " +
"Key: " + key + " Old: " + this._arr[index].priority + " New: " + priority);
}
this._arr[index].priority = priority;
this._decrease(index);
};
PriorityQueue.prototype._heapify = function(i) {
var arr = this._arr;
var l = 2 * i,
r = l + 1,
largest = i;
if (l < arr.length) {
largest = arr[l].priority < arr[largest].priority ? l : largest;
if (r < arr.length) {
largest = arr[r].priority < arr[largest].priority ? r : largest;
}
if (largest !== i) {
this._swap(i, largest);
this._heapify(largest);
}
}
};
PriorityQueue.prototype._decrease = function(index) {
var arr = this._arr;
var priority = arr[index].priority;
var parent;
while (index !== 0) {
parent = index >> 1;
if (arr[parent].priority < priority) {
break;
}
this._swap(index, parent);
index = parent;
}
};
PriorityQueue.prototype._swap = function(i, j) {
var arr = this._arr;
var keyIndices = this._keyIndices;
var origArrI = arr[i];
var origArrJ = arr[j];
arr[i] = origArrJ;
arr[j] = origArrI;
keyIndices[origArrJ.key] = i;
keyIndices[origArrI.key] = j;
};
},{"../lodash":76}],73:[function(require,module,exports){
"use strict";
var _ = require("./lodash");
module.exports = Graph;
var DEFAULT_EDGE_NAME = "\x00",
GRAPH_NODE = "\x00",
EDGE_KEY_DELIM = "\x01";
// Implementation notes:
//
// * Node id query functions should return string ids for the nodes
// * Edge id query functions should return an "edgeObj", edge object, that is
// composed of enough information to uniquely identify an edge: {v, w, name}.
// * Internally we use an "edgeId", a stringified form of the edgeObj, to
// reference edges. This is because we need a performant way to look these
// edges up and, object properties, which have string keys, are the closest
// we're going to get to a performant hashtable in JavaScript.
function Graph(opts) {
this._isDirected = _.has(opts, "directed") ? opts.directed : true;
this._isMultigraph = _.has(opts, "multigraph") ? opts.multigraph : false;
this._isCompound = _.has(opts, "compound") ? opts.compound : false;
// Label for the graph itself
this._label = undefined;
// Defaults to be set when creating a new node
this._defaultNodeLabelFn = _.constant(undefined);
// Defaults to be set when creating a new edge
this._defaultEdgeLabelFn = _.constant(undefined);
// v -> label
this._nodes = {};
if (this._isCompound) {
// v -> parent
this._parent = {};
// v -> children
this._children = {};
this._children[GRAPH_NODE] = {};
}
// v -> edgeObj
this._in = {};
// u -> v -> Number
this._preds = {};
// v -> edgeObj
this._out = {};
// v -> w -> Number
this._sucs = {};
// e -> edgeObj
this._edgeObjs = {};
// e -> label
this._edgeLabels = {};
}
/* Number of nodes in the graph. Should only be changed by the implementation. */
Graph.prototype._nodeCount = 0;
/* Number of edges in the graph. Should only be changed by the implementation. */
Graph.prototype._edgeCount = 0;
/* === Graph functions ========= */
Graph.prototype.isDirected = function() {
return this._isDirected;
};
Graph.prototype.isMultigraph = function() {
return this._isMultigraph;
};
Graph.prototype.isCompound = function() {
return this._isCompound;
};
Graph.prototype.setGraph = function(label) {
this._label = label;
return this;
};
Graph.prototype.graph = function() {
return this._label;
};
/* === Node functions ========== */
Graph.prototype.setDefaultNodeLabel = function(newDefault) {
if (!_.isFunction(newDefault)) {
newDefault = _.constant(newDefault);
}
this._defaultNodeLabelFn = newDefault;
return this;
};
Graph.prototype.nodeCount = function() {
return this._nodeCount;
};
Graph.prototype.nodes = function() {
return _.keys(this._nodes);
};
Graph.prototype.sources = function() {
return _.filter(this.nodes(), function(v) {
return _.isEmpty(this._in[v]);
}, this);
};
Graph.prototype.sinks = function() {
return _.filter(this.nodes(), function(v) {
return _.isEmpty(this._out[v]);
}, this);
};
Graph.prototype.setNodes = function(vs, value) {
var args = arguments;
_.each(vs, function(v) {
if (args.length > 1) {
this.setNode(v, value);
} else {
this.setNode(v);
}
}, this);
return this;
};
Graph.prototype.setNode = function(v, value) {
if (_.has(this._nodes, v)) {
if (arguments.length > 1) {
this._nodes[v] = value;
}
return this;
}
this._nodes[v] = arguments.length > 1 ? value : this._defaultNodeLabelFn(v);
if (this._isCompound) {
this._parent[v] = GRAPH_NODE;
this._children[v] = {};
this._children[GRAPH_NODE][v] = true;
}
this._in[v] = {};
this._preds[v] = {};
this._out[v] = {};
this._sucs[v] = {};
++this._nodeCount;
return this;
};
Graph.prototype.node = function(v) {
return this._nodes[v];
};
Graph.prototype.hasNode = function(v) {
return _.has(this._nodes, v);
};
Graph.prototype.removeNode = function(v) {
var self = this;
if (_.has(this._nodes, v)) {
var removeEdge = function(e) { self.removeEdge(self._edgeObjs[e]); };
delete this._nodes[v];
if (this._isCompound) {
this._removeFromParentsChildList(v);
delete this._parent[v];
_.each(this.children(v), function(child) {
this.setParent(child);
}, this);
delete this._children[v];
}
_.each(_.keys(this._in[v]), removeEdge);
delete this._in[v];
delete this._preds[v];
_.each(_.keys(this._out[v]), removeEdge);
delete this._out[v];
delete this._sucs[v];
--this._nodeCount;
}
return this;
};
Graph.prototype.setParent = function(v, parent) {
if (!this._isCompound) {
throw new Error("Cannot set parent in a non-compound graph");
}
if (_.isUndefined(parent)) {
parent = GRAPH_NODE;
} else {
for (var ancestor = parent;
!_.isUndefined(ancestor);
ancestor = this.parent(ancestor)) {
if (ancestor === v) {
throw new Error("Setting " + parent+ " as parent of " + v +
" would create create a cycle");
}
}
this.setNode(parent);
}
this.setNode(v);
this._removeFromParentsChildList(v);
this._parent[v] = parent;
this._children[parent][v] = true;
return this;
};
Graph.prototype._removeFromParentsChildList = function(v) {
delete this._children[this._parent[v]][v];
};
Graph.prototype.parent = function(v) {
if (this._isCompound) {
var parent = this._parent[v];
if (parent !== GRAPH_NODE) {
return parent;
}
}
};
Graph.prototype.children = function(v) {
if (_.isUndefined(v)) {
v = GRAPH_NODE;
}
if (this._isCompound) {
var children = this._children[v];
if (children) {
return _.keys(children);
}
} else if (v === GRAPH_NODE) {
return this.nodes();
} else if (this.hasNode(v)) {
return [];
}
};
Graph.prototype.predecessors = function(v) {
var predsV = this._preds[v];
if (predsV) {
return _.keys(predsV);
}
};
Graph.prototype.successors = function(v) {
var sucsV = this._sucs[v];
if (sucsV) {
return _.keys(sucsV);
}
};
Graph.prototype.neighbors = function(v) {
var preds = this.predecessors(v);
if (preds) {
return _.union(preds, this.successors(v));
}
};
/* === Edge functions ========== */
Graph.prototype.setDefaultEdgeLabel = function(newDefault) {
if (!_.isFunction(newDefault)) {
newDefault = _.constant(newDefault);
}
this._defaultEdgeLabelFn = newDefault;
return this;
};
Graph.prototype.edgeCount = function() {
return this._edgeCount;
};
Graph.prototype.edges = function() {
return _.values(this._edgeObjs);
};
Graph.prototype.setPath = function(vs, value) {
var self = this,
args = arguments;
_.reduce(vs, function(v, w) {
if (args.length > 1) {
self.setEdge(v, w, value);
} else {
self.setEdge(v, w);
}
return w;
});
return this;
};
/*
* setEdge(v, w, [value, [name]])
* setEdge({ v, w, [name] }, [value])
*/
Graph.prototype.setEdge = function() {
var v, w, name, value,
valueSpecified = false;
if (_.isPlainObject(arguments[0])) {
v = arguments[0].v;
w = arguments[0].w;
name = arguments[0].name;
if (arguments.length === 2) {
value = arguments[1];
valueSpecified = true;
}
} else {
v = arguments[0];
w = arguments[1];
name = arguments[3];
if (arguments.length > 2) {
value = arguments[2];
valueSpecified = true;
}
}
v = "" + v;
w = "" + w;
if (!_.isUndefined(name)) {
name = "" + name;
}
var e = edgeArgsToId(this._isDirected, v, w, name);
if (_.has(this._edgeLabels, e)) {
if (valueSpecified) {
this._edgeLabels[e] = value;
}
return this;
}
if (!_.isUndefined(name) && !this._isMultigraph) {
throw new Error("Cannot set a named edge when isMultigraph = false");
}
// It didn't exist, so we need to create it.
// First ensure the nodes exist.
this.setNode(v);
this.setNode(w);
this._edgeLabels[e] = valueSpecified ? value : this._defaultEdgeLabelFn(v, w, name);
var edgeObj = edgeArgsToObj(this._isDirected, v, w, name);
// Ensure we add undirected edges in a consistent way.
v = edgeObj.v;
w = edgeObj.w;
Object.freeze(edgeObj);
this._edgeObjs[e] = edgeObj;
incrementOrInitEntry(this._preds[w], v);
incrementOrInitEntry(this._sucs[v], w);
this._in[w][e] = edgeObj;
this._out[v][e] = edgeObj;
this._edgeCount++;
return this;
};
Graph.prototype.edge = function(v, w, name) {
var e = (arguments.length === 1
? edgeObjToId(this._isDirected, arguments[0])
: edgeArgsToId(this._isDirected, v, w, name));
return this._edgeLabels[e];
};
Graph.prototype.hasEdge = function(v, w, name) {
var e = (arguments.length === 1
? edgeObjToId(this._isDirected, arguments[0])
: edgeArgsToId(this._isDirected, v, w, name));
return _.has(this._edgeLabels, e);
};
Graph.prototype.removeEdge = function(v, w, name) {
var e = (arguments.length === 1
? edgeObjToId(this._isDirected, arguments[0])
: edgeArgsToId(this._isDirected, v, w, name)),
edge = this._edgeObjs[e];
if (edge) {
v = edge.v;
w = edge.w;
delete this._edgeLabels[e];
delete this._edgeObjs[e];
decrementOrRemoveEntry(this._preds[w], v);
decrementOrRemoveEntry(this._sucs[v], w);
delete this._in[w][e];
delete this._out[v][e];
this._edgeCount--;
}
return this;
};
Graph.prototype.inEdges = function(v, u) {
var inV = this._in[v];
if (inV) {
var edges = _.values(inV);
if (!u) {
return edges;
}
return _.filter(edges, function(edge) { return edge.v === u; });
}
};
Graph.prototype.outEdges = function(v, w) {
var outV = this._out[v];
if (outV) {
var edges = _.values(outV);
if (!w) {
return edges;
}
return _.filter(edges, function(edge) { return edge.w === w; });
}
};
Graph.prototype.nodeEdges = function(v, w) {
var inEdges = this.inEdges(v, w);
if (inEdges) {
return inEdges.concat(this.outEdges(v, w));
}
};
function incrementOrInitEntry(map, k) {
if (_.has(map, k)) {
map[k]++;
} else {
map[k] = 1;
}
}
function decrementOrRemoveEntry(map, k) {
if (!--map[k]) { delete map[k]; }
}
function edgeArgsToId(isDirected, v, w, name) {
if (!isDirected && v > w) {
var tmp = v;
v = w;
w = tmp;
}
return v + EDGE_KEY_DELIM + w + EDGE_KEY_DELIM +
(_.isUndefined(name) ? DEFAULT_EDGE_NAME : name);
}
function edgeArgsToObj(isDirected, v, w, name) {
if (!isDirected && v > w) {
var tmp = v;
v = w;
w = tmp;
}
var edgeObj = { v: v, w: w };
if (name) {
edgeObj.name = name;
}
return edgeObj;
}
function edgeObjToId(isDirected, edgeObj) {
return edgeArgsToId(isDirected, edgeObj.v, edgeObj.w, edgeObj.name);
}
},{"./lodash":76}],74:[function(require,module,exports){
// Includes only the "core" of graphlib
module.exports = {
Graph: require("./graph"),
version: require("./version")
};
},{"./graph":73,"./version":77}],75:[function(require,module,exports){
var _ = require("./lodash"),
Graph = require("./graph");
module.exports = {
write: write,
read: read
};
function write(g) {
var json = {
options: {
directed: g.isDirected(),
multigraph: g.isMultigraph(),
compound: g.isCompound()
},
nodes: writeNodes(g),
edges: writeEdges(g)
};
if (!_.isUndefined(g.graph())) {
json.value = _.clone(g.graph());
}
return json;
}
function writeNodes(g) {
return _.map(g.nodes(), function(v) {
var nodeValue = g.node(v),
parent = g.parent(v),
node = { v: v };
if (!_.isUndefined(nodeValue)) {
node.value = nodeValue;
}
if (!_.isUndefined(parent)) {
node.parent = parent;
}
return node;
});
}
function writeEdges(g) {
return _.map(g.edges(), function(e) {
var edgeValue = g.edge(e),
edge = { v: e.v, w: e.w };
if (!_.isUndefined(e.name)) {
edge.name = e.name;
}
if (!_.isUndefined(edgeValue)) {
edge.value = edgeValue;
}
return edge;
});
}
function read(json) {
var g = new Graph(json.options).setGraph(json.value);
_.each(json.nodes, function(entry) {
g.setNode(entry.v, entry.value);
if (entry.parent) {
g.setParent(entry.v, entry.parent);
}
});
_.each(json.edges, function(entry) {
g.setEdge({ v: entry.v, w: entry.w, name: entry.name }, entry.value);
});
return g;
}
},{"./graph":73,"./lodash":76}],76:[function(require,module,exports){
module.exports=require(21)
},{"lodash":82}],77:[function(require,module,exports){
module.exports = '1.0.1';
},{}],78:[function(require,module,exports){
},{}],79:[function(require,module,exports){
(function (process){
// Copyright Joyent, Inc. and other Node contributors.
//
// Permission is hereby granted, free of charge, to any person obtaining a
// copy of this software and associated documentation files (the
// "Software"), to deal in the Software without restriction, including
// without limitation the rights to use, copy, modify, merge, publish,
// distribute, sublicense, and/or sell copies of the Software, and to permit
// persons to whom the Software is furnished to do so, subject to the
// following conditions:
//
// The above copyright notice and this permission notice shall be included
// in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN
// NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,
// DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR
// OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE
// USE OR OTHER DEALINGS IN THE SOFTWARE.
// resolves . and .. elements in a path array with directory names there
// must be no slashes, empty elements, or device names (c:\) in the array
// (so also no leading and trailing slashes - it does not distinguish
// relative and absolute paths)
function normalizeArray(parts, allowAboveRoot) {
// if the path tries to go above the root, `up` ends up > 0
var up = 0;
for (var i = parts.length - 1; i >= 0; i--) {
var last = parts[i];
if (last === '.') {
parts.splice(i, 1);
} else if (last === '..') {
parts.splice(i, 1);
up++;
} else if (up) {
parts.splice(i, 1);
up--;
}
}
// if the path is allowed to go above the root, restore leading ..s
if (allowAboveRoot) {
for (; up--; up) {
parts.unshift('..');
}
}
return parts;
}
// Split a filename into [root, dir, basename, ext], unix version
// 'root' is just a slash, or nothing.
var splitPathRe =
/^(\/?|)([\s\S]*?)((?:\.{1,2}|[^\/]+?|)(\.[^.\/]*|))(?:[\/]*)$/;
var splitPath = function(filename) {
return splitPathRe.exec(filename).slice(1);
};
// path.resolve([from ...], to)
// posix version
exports.resolve = function() {
var resolvedPath = '',
resolvedAbsolute = false;
for (var i = arguments.length - 1; i >= -1 && !resolvedAbsolute; i--) {
var path = (i >= 0) ? arguments[i] : process.cwd();
// Skip empty and invalid entries
if (typeof path !== 'string') {
throw new TypeError('Arguments to path.resolve must be strings');
} else if (!path) {
continue;
}
resolvedPath = path + '/' + resolvedPath;
resolvedAbsolute = path.charAt(0) === '/';
}
// At this point the path should be resolved to a full absolute path, but
// handle relative paths to be safe (might happen when process.cwd() fails)
// Normalize the path
resolvedPath = normalizeArray(filter(resolvedPath.split('/'), function(p) {
return !!p;
}), !resolvedAbsolute).join('/');
return ((resolvedAbsolute ? '/' : '') + resolvedPath) || '.';
};
// path.normalize(path)
// posix version
exports.normalize = function(path) {
var isAbsolute = exports.isAbsolute(path),
trailingSlash = substr(path, -1) === '/';
// Normalize the path
path = normalizeArray(filter(path.split('/'), function(p) {
return !!p;
}), !isAbsolute).join('/');
if (!path && !isAbsolute) {
path = '.';
}
if (path && trailingSlash) {
path += '/';
}
return (isAbsolute ? '/' : '') + path;
};
// posix version
exports.isAbsolute = function(path) {
return path.charAt(0) === '/';
};
// posix version
exports.join = function() {
var paths = Array.prototype.slice.call(arguments, 0);
return exports.normalize(filter(paths, function(p, index) {
if (typeof p !== 'string') {
throw new TypeError('Arguments to path.join must be strings');
}
return p;
}).join('/'));
};
// path.relative(from, to)
// posix version
exports.relative = function(from, to) {
from = exports.resolve(from).substr(1);
to = exports.resolve(to).substr(1);
function trim(arr) {
var start = 0;
for (; start < arr.length; start++) {
if (arr[start] !== '') break;
}
var end = arr.length - 1;
for (; end >= 0; end--) {
if (arr[end] !== '') break;
}
if (start > end) return [];
return arr.slice(start, end - start + 1);
}
var fromParts = trim(from.split('/'));
var toParts = trim(to.split('/'));
var length = Math.min(fromParts.length, toParts.length);
var samePartsLength = length;
for (var i = 0; i < length; i++) {
if (fromParts[i] !== toParts[i]) {
samePartsLength = i;
break;
}
}
var outputParts = [];
for (var i = samePartsLength; i < fromParts.length; i++) {
outputParts.push('..');
}
outputParts = outputParts.concat(toParts.slice(samePartsLength));
return outputParts.join('/');
};
exports.sep = '/';
exports.delimiter = ':';
exports.dirname = function(path) {
var result = splitPath(path),
root = result[0],
dir = result[1];
if (!root && !dir) {
// No dirname whatsoever
return '.';
}
if (dir) {
// It has a dirname, strip trailing slash
dir = dir.substr(0, dir.length - 1);
}
return root + dir;
};
exports.basename = function(path, ext) {
var f = splitPath(path)[2];
// TODO: make this comparison case-insensitive on windows?
if (ext && f.substr(-1 * ext.length) === ext) {
f = f.substr(0, f.length - ext.length);
}
return f;
};
exports.extname = function(path) {
return splitPath(path)[3];
};
function filter (xs, f) {
if (xs.filter) return xs.filter(f);
var res = [];
for (var i = 0; i < xs.length; i++) {
if (f(xs[i], i, xs)) res.push(xs[i]);
}
return res;
}
// String.prototype.substr - negative index don't work in IE8
var substr = 'ab'.substr(-1) === 'b'
? function (str, start, len) { return str.substr(start, len) }
: function (str, start, len) {
if (start < 0) start = str.length + start;
return str.substr(start, len);
}
;
}).call(this,require("1YiZ5S"))
},{"1YiZ5S":80}],80:[function(require,module,exports){
// shim for using process in browser
var process = module.exports = {};
process.nextTick = (function () {
var canSetImmediate = typeof window !== 'undefined'
&& window.setImmediate;
var canPost = typeof window !== 'undefined'
&& window.postMessage && window.addEventListener
;
if (canSetImmediate) {
return function (f) { return window.setImmediate(f) };
}
if (canPost) {
var queue = [];
window.addEventListener('message', function (ev) {
var source = ev.source;
if ((source === window || source === null) && ev.data === 'process-tick') {
ev.stopPropagation();
if (queue.length > 0) {
var fn = queue.shift();
fn();
}
}
}, true);
return function nextTick(fn) {
queue.push(fn);
window.postMessage('process-tick', '*');
};
}
return function nextTick(fn) {
setTimeout(fn, 0);
};
})();
process.title = 'browser';
process.browser = true;
process.env = {};
process.argv = [];
function noop() {}
process.on = noop;
process.addListener = noop;
process.once = noop;
process.off = noop;
process.removeListener = noop;
process.removeAllListeners = noop;
process.emit = noop;
process.binding = function (name) {
throw new Error('process.binding is not supported');
}
// TODO(shtylman)
process.cwd = function () { return '/' };
process.chdir = function (dir) {
throw new Error('process.chdir is not supported');
};
},{}],81:[function(require,module,exports){
(function (global){
/*! http://mths.be/he v0.5.0 by @mathias | MIT license */
;(function(root) {
// Detect free variables `exports`.
var freeExports = typeof exports == 'object' && exports;
// Detect free variable `module`.
var freeModule = typeof module == 'object' && module &&
module.exports == freeExports && module;
// Detect free variable `global`, from Node.js or Browserified code,
// and use it as `root`.
var freeGlobal = typeof global == 'object' && global;
if (freeGlobal.global === freeGlobal || freeGlobal.window === freeGlobal) {
root = freeGlobal;
}
/*--------------------------------------------------------------------------*/
// All astral symbols.
var regexAstralSymbols = /[\uD800-\uDBFF][\uDC00-\uDFFF]/g;
// All ASCII symbols (not just printable ASCII) except those listed in the
// first column of the overrides table.
// http://whatwg.org/html/tokenization.html#table-charref-overrides
var regexAsciiWhitelist = /[\x01-\x7F]/g;
// All BMP symbols that are not ASCII newlines, printable ASCII symbols, or
// code points listed in the first column of the overrides table on
// http://whatwg.org/html/tokenization.html#table-charref-overrides.
var regexBmpWhitelist = /[\x01-\t\x0B\f\x0E-\x1F\x7F\x81\x8D\x8F\x90\x9D\xA0-\uFFFF]/g;
var regexEncodeNonAscii = /<\u20D2|=\u20E5|>\u20D2|\u205F\u200A|\u219D\u0338|\u2202\u0338|\u2220\u20D2|\u2229\uFE00|\u222A\uFE00|\u223C\u20D2|\u223D\u0331|\u223E\u0333|\u2242\u0338|\u224B\u0338|\u224D\u20D2|\u224E\u0338|\u224F\u0338|\u2250\u0338|\u2261\u20E5|\u2264\u20D2|\u2265\u20D2|\u2266\u0338|\u2267\u0338|\u2268\uFE00|\u2269\uFE00|\u226A\u0338|\u226A\u20D2|\u226B\u0338|\u226B\u20D2|\u227F\u0338|\u2282\u20D2|\u2283\u20D2|\u228A\uFE00|\u228B\uFE00|\u228F\u0338|\u2290\u0338|\u2293\uFE00|\u2294\uFE00|\u22B4\u20D2|\u22B5\u20D2|\u22D8\u0338|\u22D9\u0338|\u22DA\uFE00|\u22DB\uFE00|\u22F5\u0338|\u22F9\u0338|\u2933\u0338|\u29CF\u0338|\u29D0\u0338|\u2A6D\u0338|\u2A70\u0338|\u2A7D\u0338|\u2A7E\u0338|\u2AA1\u0338|\u2AA2\u0338|\u2AAC\uFE00|\u2AAD\uFE00|\u2AAF\u0338|\u2AB0\u0338|\u2AC5\u0338|\u2AC6\u0338|\u2ACB\uFE00|\u2ACC\uFE00|\u2AFD\u20E5|[\xA0-\u0113\u0116-\u0122\u0124-\u012B\u012E-\u014D\u0150-\u017E\u0192\u01B5\u01F5\u0237\u02C6\u02C7\u02D8-\u02DD\u0311\u0391-\u03A1\u03A3-\u03A9\u03B1-\u03C9\u03D1\u03D2\u03D5\u03D6\u03DC\u03DD\u03F0\u03F1\u03F5\u03F6\u0401-\u040C\u040E-\u044F\u0451-\u045C\u045E\u045F\u2002-\u2005\u2007-\u2010\u2013-\u2016\u2018-\u201A\u201C-\u201E\u2020-\u2022\u2025\u2026\u2030-\u2035\u2039\u203A\u203E\u2041\u2043\u2044\u204F\u2057\u205F-\u2063\u20AC\u20DB\u20DC\u2102\u2105\u210A-\u2113\u2115-\u211E\u2122\u2124\u2127-\u2129\u212C\u212D\u212F-\u2131\u2133-\u2138\u2145-\u2148\u2153-\u215E\u2190-\u219B\u219D-\u21A7\u21A9-\u21AE\u21B0-\u21B3\u21B5-\u21B7\u21BA-\u21DB\u21DD\u21E4\u21E5\u21F5\u21FD-\u2205\u2207-\u2209\u220B\u220C\u220F-\u2214\u2216-\u2218\u221A\u221D-\u2238\u223A-\u2257\u2259\u225A\u225C\u225F-\u2262\u2264-\u228B\u228D-\u229B\u229D-\u22A5\u22A7-\u22B0\u22B2-\u22BB\u22BD-\u22DB\u22DE-\u22E3\u22E6-\u22F7\u22F9-\u22FE\u2305\u2306\u2308-\u2310\u2312\u2313\u2315\u2316\u231C-\u231F\u2322\u2323\u232D\u232E\u2336\u233D\u233F\u237C\u23B0\u23B1\u23B4-\u23B6\u23DC-\u23DF\u23E2\u23E7\u2423\u24C8\u2500\u2502\u250C\u2510\u2514\u2518\u251C\u2524\u252C\u2534\u253C\u2550-\u256C\u2580\u2584\u2588\u2591-\u2593\u25A1\u25AA\u25AB\u25AD\u25AE\u25B1\u25B3-\u25B5\u25B8\u25B9\u25BD-\u25BF\u25C2\u25C3\u25CA\u25CB\u25EC\u25EF\u25F8-\u25FC\u2605\u2606\u260E\u2640\u2642\u2660\u2663\u2665\u2666\u266A\u266D-\u266F\u2713\u2717\u2720\u2736\u2758\u2772\u2773\u27C8\u27C9\u27E6-\u27ED\u27F5-\u27FA\u27FC\u27FF\u2902-\u2905\u290C-\u2913\u2916\u2919-\u2920\u2923-\u292A\u2933\u2935-\u2939\u293C\u293D\u2945\u2948-\u294B\u294E-\u2976\u2978\u2979\u297B-\u297F\u2985\u2986\u298B-\u2996\u299A\u299C\u299D\u29A4-\u29B7\u29B9\u29BB\u29BC\u29BE-\u29C5\u29C9\u29CD-\u29D0\u29DC-\u29DE\u29E3-\u29E5\u29EB\u29F4\u29F6\u2A00-\u2A02\u2A04\u2A06\u2A0C\u2A0D\u2A10-\u2A17\u2A22-\u2A27\u2A29\u2A2A\u2A2D-\u2A31\u2A33-\u2A3C\u2A3F\u2A40\u2A42-\u2A4D\u2A50\u2A53-\u2A58\u2A5A-\u2A5D\u2A5F\u2A66\u2A6A\u2A6D-\u2A75\u2A77-\u2A9A\u2A9D-\u2AA2\u2AA4-\u2AB0\u2AB3-\u2AC8\u2ACB\u2ACC\u2ACF-\u2ADB\u2AE4\u2AE6-\u2AE9\u2AEB-\u2AF3\u2AFD\uFB00-\uFB04]|\uD835[\uDC9C\uDC9E\uDC9F\uDCA2\uDCA5\uDCA6\uDCA9-\uDCAC\uDCAE-\uDCB9\uDCBB\uDCBD-\uDCC3\uDCC5-\uDCCF\uDD04\uDD05\uDD07-\uDD0A\uDD0D-\uDD14\uDD16-\uDD1C\uDD1E-\uDD39\uDD3B-\uDD3E\uDD40-\uDD44\uDD46\uDD4A-\uDD50\uDD52-\uDD6B]/g;
var encodeMap = {'\xC1':'Aacute','\xE1':'aacute','\u0102':'Abreve','\u0103':'abreve','\u223E':'ac','\u223F':'acd','\u223E\u0333':'acE','\xC2':'Acirc','\xE2':'acirc','\xB4':'acute','\u0410':'Acy','\u0430':'acy','\xC6':'AElig','\xE6':'aelig','\u2061':'af','\uD835\uDD04':'Afr','\uD835\uDD1E':'afr','\xC0':'Agrave','\xE0':'agrave','\u2135':'aleph','\u0391':'Alpha','\u03B1':'alpha','\u0100':'Amacr','\u0101':'amacr','\u2A3F':'amalg','&':'amp','\u2A55':'andand','\u2A53':'And','\u2227':'and','\u2A5C':'andd','\u2A58':'andslope','\u2A5A':'andv','\u2220':'ang','\u29A4':'ange','\u29A8':'angmsdaa','\u29A9':'angmsdab','\u29AA':'angmsdac','\u29AB':'angmsdad','\u29AC':'angmsdae','\u29AD':'angmsdaf','\u29AE':'angmsdag','\u29AF':'angmsdah','\u2221':'angmsd','\u221F':'angrt','\u22BE':'angrtvb','\u299D':'angrtvbd','\u2222':'angsph','\xC5':'angst','\u237C':'angzarr','\u0104':'Aogon','\u0105':'aogon','\uD835\uDD38':'Aopf','\uD835\uDD52':'aopf','\u2A6F':'apacir','\u2248':'ap','\u2A70':'apE','\u224A':'ape','\u224B':'apid','\'':'apos','\xE5':'aring','\uD835\uDC9C':'Ascr','\uD835\uDCB6':'ascr','\u2254':'colone','*':'ast','\u224D':'CupCap','\xC3':'Atilde','\xE3':'atilde','\xC4':'Auml','\xE4':'auml','\u2233':'awconint','\u2A11':'awint','\u224C':'bcong','\u03F6':'bepsi','\u2035':'bprime','\u223D':'bsim','\u22CD':'bsime','\u2216':'setmn','\u2AE7':'Barv','\u22BD':'barvee','\u2305':'barwed','\u2306':'Barwed','\u23B5':'bbrk','\u23B6':'bbrktbrk','\u0411':'Bcy','\u0431':'bcy','\u201E':'bdquo','\u2235':'becaus','\u29B0':'bemptyv','\u212C':'Bscr','\u0392':'Beta','\u03B2':'beta','\u2136':'beth','\u226C':'twixt','\uD835\uDD05':'Bfr','\uD835\uDD1F':'bfr','\u22C2':'xcap','\u25EF':'xcirc','\u22C3':'xcup','\u2A00':'xodot','\u2A01':'xoplus','\u2A02':'xotime','\u2A06':'xsqcup','\u2605':'starf','\u25BD':'xdtri','\u25B3':'xutri','\u2A04':'xuplus','\u22C1':'Vee','\u22C0':'Wedge','\u290D':'rbarr','\u29EB':'lozf','\u25AA':'squf','\u25B4':'utrif','\u25BE':'dtrif','\u25C2':'ltrif','\u25B8':'rtrif','\u2423':'blank','\u2592':'blk12','\u2591':'blk14','\u2593':'blk34','\u2588':'block','=\u20E5':'bne','\u2261\u20E5':'bnequiv','\u2AED':'bNot','\u2310':'bnot','\uD835\uDD39':'Bopf','\uD835\uDD53':'bopf','\u22A5':'bot','\u22C8':'bowtie','\u29C9':'boxbox','\u2510':'boxdl','\u2555':'boxdL','\u2556':'boxDl','\u2557':'boxDL','\u250C':'boxdr','\u2552':'boxdR','\u2553':'boxDr','\u2554':'boxDR','\u2500':'boxh','\u2550':'boxH','\u252C':'boxhd','\u2564':'boxHd','\u2565':'boxhD','\u2566':'boxHD','\u2534':'boxhu','\u2567':'boxHu','\u2568':'boxhU','\u2569':'boxHU','\u229F':'minusb','\u229E':'plusb','\u22A0':'timesb','\u2518':'boxul','\u255B':'boxuL','\u255C':'boxUl','\u255D':'boxUL','\u2514':'boxur','\u2558':'boxuR','\u2559':'boxUr','\u255A':'boxUR','\u2502':'boxv','\u2551':'boxV','\u253C':'boxvh','\u256A':'boxvH','\u256B':'boxVh','\u256C':'boxVH','\u2524':'boxvl','\u2561':'boxvL','\u2562':'boxVl','\u2563':'boxVL','\u251C':'boxvr','\u255E':'boxvR','\u255F':'boxVr','\u2560':'boxVR','\u02D8':'breve','\xA6':'brvbar','\uD835\uDCB7':'bscr','\u204F':'bsemi','\u29C5':'bsolb','\\':'bsol','\u27C8':'bsolhsub','\u2022':'bull','\u224E':'bump','\u2AAE':'bumpE','\u224F':'bumpe','\u0106':'Cacute','\u0107':'cacute','\u2A44':'capand','\u2A49':'capbrcup','\u2A4B':'capcap','\u2229':'cap','\u22D2':'Cap','\u2A47':'capcup','\u2A40':'capdot','\u2145':'DD','\u2229\uFE00':'caps','\u2041':'caret','\u02C7':'caron','\u212D':'Cfr','\u2A4D':'ccaps','\u010C':'Ccaron','\u010D':'ccaron','\xC7':'Ccedil','\xE7':'ccedil','\u0108':'Ccirc','\u0109':'ccirc','\u2230':'Cconint','\u2A4C':'ccups','\u2A50':'ccupssm','\u010A':'Cdot','\u010B':'cdot','\xB8':'cedil','\u29B2':'cemptyv','\xA2':'cent','\xB7':'middot','\uD835\uDD20':'cfr','\u0427':'CHcy','\u0447':'chcy','\u2713':'check','\u03A7':'Chi','\u03C7':'chi','\u02C6':'circ','\u2257':'cire','\u21BA':'olarr','\u21BB':'orarr','\u229B':'oast','\u229A':'ocir','\u229D':'odash','\u2299':'odot','\xAE':'reg','\u24C8':'oS','\u2296':'ominus','\u2295':'oplus','\u2297':'otimes','\u25CB':'cir','\u29C3':'cirE','\u2A10':'cirfnint','\u2AEF':'cirmid','\u29C2':'cirscir','\u2232':'cwconint','\u201D':'rdquo','\u2019':'rsquo','\u2663':'clubs',':':'colon','\u2237':'Colon','\u2A74':'Colone',',':'comma','@':'commat','\u2201':'comp','\u2218':'compfn','\u2102':'Copf','\u2245':'cong','\u2A6D':'congdot','\u2261':'equiv','\u222E':'oint','\u222F':'Conint','\uD835\uDD54':'copf','\u2210':'coprod','\xA9':'copy','\u2117':'copysr','\u21B5':'crarr','\u2717':'cross','\u2A2F':'Cross','\uD835\uDC9E':'Cscr','\uD835\uDCB8':'cscr','\u2ACF':'csub','\u2AD1':'csube','\u2AD0':'csup','\u2AD2':'csupe','\u22EF':'ctdot','\u2938':'cudarrl','\u2935':'cudarrr','\u22DE':'cuepr','\u22DF':'cuesc','\u21B6':'cularr','\u293D':'cularrp','\u2A48':'cupbrcap','\u2A46':'cupcap','\u222A':'cup','\u22D3':'Cup','\u2A4A':'cupcup','\u228D':'cupdot','\u2A45':'cupor','\u222A\uFE00':'cups','\u21B7':'curarr','\u293C':'curarrm','\u22CE':'cuvee','\u22CF':'cuwed','\xA4':'curren','\u2231':'cwint','\u232D':'cylcty','\u2020':'dagger','\u2021':'Dagger','\u2138':'daleth','\u2193':'darr','\u21A1':'Darr','\u21D3':'dArr','\u2010':'dash','\u2AE4':'Dashv','\u22A3':'dashv','\u290F':'rBarr','\u02DD':'dblac','\u010E':'Dcaron','\u010F':'dcaron','\u0414':'Dcy','\u0434':'dcy','\u21CA':'ddarr','\u2146':'dd','\u2911':'DDotrahd','\u2A77':'eDDot','\xB0':'deg','\u2207':'Del','\u0394':'Delta','\u03B4':'delta','\u29B1':'demptyv','\u297F':'dfisht','\uD835\uDD07':'Dfr','\uD835\uDD21':'dfr','\u2965':'dHar','\u21C3':'dharl','\u21C2':'dharr','\u02D9':'dot','`':'grave','\u02DC':'tilde','\u22C4':'diam','\u2666':'diams','\xA8':'die','\u03DD':'gammad','\u22F2':'disin','\xF7':'div','\u22C7':'divonx','\u0402':'DJcy','\u0452':'djcy','\u231E':'dlcorn','\u230D':'dlcrop','$':'dollar','\uD835\uDD3B':'Dopf','\uD835\uDD55':'dopf','\u20DC':'DotDot','\u2250':'doteq','\u2251':'eDot','\u2238':'minusd','\u2214':'plusdo','\u22A1':'sdotb','\u21D0':'lArr','\u21D4':'iff','\u27F8':'xlArr','\u27FA':'xhArr','\u27F9':'xrArr','\u21D2':'rArr','\u22A8':'vDash','\u21D1':'uArr','\u21D5':'vArr','\u2225':'par','\u2913':'DownArrowBar','\u21F5':'duarr','\u0311':'DownBreve','\u2950':'DownLeftRightVector','\u295E':'DownLeftTeeVector','\u2956':'DownLeftVectorBar','\u21BD':'lhard','\u295F':'DownRightTeeVector','\u2957':'DownRightVectorBar','\u21C1':'rhard','\u21A7':'mapstodown','\u22A4':'top','\u2910':'RBarr','\u231F':'drcorn','\u230C':'drcrop','\uD835\uDC9F':'Dscr','\uD835\uDCB9':'dscr','\u0405':'DScy','\u0455':'dscy','\u29F6':'dsol','\u0110':'Dstrok','\u0111':'dstrok','\u22F1':'dtdot','\u25BF':'dtri','\u296F':'duhar','\u29A6':'dwangle','\u040F':'DZcy','\u045F':'dzcy','\u27FF':'dzigrarr','\xC9':'Eacute','\xE9':'eacute','\u2A6E':'easter','\u011A':'Ecaron','\u011B':'ecaron','\xCA':'Ecirc','\xEA':'ecirc','\u2256':'ecir','\u2255':'ecolon','\u042D':'Ecy','\u044D':'ecy','\u0116':'Edot','\u0117':'edot','\u2147':'ee','\u2252':'efDot','\uD835\uDD08':'Efr','\uD835\uDD22':'efr','\u2A9A':'eg','\xC8':'Egrave','\xE8':'egrave','\u2A96':'egs','\u2A98':'egsdot','\u2A99':'el','\u2208':'in','\u23E7':'elinters','\u2113':'ell','\u2A95':'els','\u2A97':'elsdot','\u0112':'Emacr','\u0113':'emacr','\u2205':'empty','\u25FB':'EmptySmallSquare','\u25AB':'EmptyVerySmallSquare','\u2004':'emsp13','\u2005':'emsp14','\u2003':'emsp','\u014A':'ENG','\u014B':'eng','\u2002':'ensp','\u0118':'Eogon','\u0119':'eogon','\uD835\uDD3C':'Eopf','\uD835\uDD56':'eopf','\u22D5':'epar','\u29E3':'eparsl','\u2A71':'eplus','\u03B5':'epsi','\u0395':'Epsilon','\u03F5':'epsiv','\u2242':'esim','\u2A75':'Equal','=':'equals','\u225F':'equest','\u21CC':'rlhar','\u2A78':'equivDD','\u29E5':'eqvparsl','\u2971':'erarr','\u2253':'erDot','\u212F':'escr','\u2130':'Escr','\u2A73':'Esim','\u0397':'Eta','\u03B7':'eta','\xD0':'ETH','\xF0':'eth','\xCB':'Euml','\xEB':'euml','\u20AC':'euro','!':'excl','\u2203':'exist','\u0424':'Fcy','\u0444':'fcy','\u2640':'female','\uFB03':'ffilig','\uFB00':'fflig','\uFB04':'ffllig','\uD835\uDD09':'Ffr','\uD835\uDD23':'ffr','\uFB01':'filig','\u25FC':'FilledSmallSquare','fj':'fjlig','\u266D':'flat','\uFB02':'fllig','\u25B1':'fltns','\u0192':'fnof','\uD835\uDD3D':'Fopf','\uD835\uDD57':'fopf','\u2200':'forall','\u22D4':'fork','\u2AD9':'forkv','\u2131':'Fscr','\u2A0D':'fpartint','\xBD':'half','\u2153':'frac13','\xBC':'frac14','\u2155':'frac15','\u2159':'frac16','\u215B':'frac18','\u2154':'frac23','\u2156':'frac25','\xBE':'frac34','\u2157':'frac35','\u215C':'frac38','\u2158':'frac45','\u215A':'frac56','\u215D':'frac58','\u215E':'frac78','\u2044':'frasl','\u2322':'frown','\uD835\uDCBB':'fscr','\u01F5':'gacute','\u0393':'Gamma','\u03B3':'gamma','\u03DC':'Gammad','\u2A86':'gap','\u011E':'Gbreve','\u011F':'gbreve','\u0122':'Gcedil','\u011C':'Gcirc','\u011D':'gcirc','\u0413':'Gcy','\u0433':'gcy','\u0120':'Gdot','\u0121':'gdot','\u2265':'ge','\u2267':'gE','\u2A8C':'gEl','\u22DB':'gel','\u2A7E':'ges','\u2AA9':'gescc','\u2A80':'gesdot','\u2A82':'gesdoto','\u2A84':'gesdotol','\u22DB\uFE00':'gesl','\u2A94':'gesles','\uD835\uDD0A':'Gfr','\uD835\uDD24':'gfr','\u226B':'gg','\u22D9':'Gg','\u2137':'gimel','\u0403':'GJcy','\u0453':'gjcy','\u2AA5':'gla','\u2277':'gl','\u2A92':'glE','\u2AA4':'glj','\u2A8A':'gnap','\u2A88':'gne','\u2269':'gnE','\u22E7':'gnsim','\uD835\uDD3E':'Gopf','\uD835\uDD58':'gopf','\u2AA2':'GreaterGreater','\u2273':'gsim','\uD835\uDCA2':'Gscr','\u210A':'gscr','\u2A8E':'gsime','\u2A90':'gsiml','\u2AA7':'gtcc','\u2A7A':'gtcir','>':'gt','\u22D7':'gtdot','\u2995':'gtlPar','\u2A7C':'gtquest','\u2978':'gtrarr','\u2269\uFE00':'gvnE','\u200A':'hairsp','\u210B':'Hscr','\u042A':'HARDcy','\u044A':'hardcy','\u2948':'harrcir','\u2194':'harr','\u21AD':'harrw','^':'Hat','\u210F':'hbar','\u0124':'Hcirc','\u0125':'hcirc','\u2665':'hearts','\u2026':'mldr','\u22B9':'hercon','\uD835\uDD25':'hfr','\u210C':'Hfr','\u2925':'searhk','\u2926':'swarhk','\u21FF':'hoarr','\u223B':'homtht','\u21A9':'larrhk','\u21AA':'rarrhk','\uD835\uDD59':'hopf','\u210D':'Hopf','\u2015':'horbar','\uD835\uDCBD':'hscr','\u0126':'Hstrok','\u0127':'hstrok','\u2043':'hybull','\xCD':'Iacute','\xED':'iacute','\u2063':'ic','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Ncy','\u043D':'ncy','\u2013':'ndash','\u2924':'nearhk','\u2197':'nearr','\u21D7':'neArr','\u2260':'ne','\u2250\u0338':'nedot','\u200B':'ZeroWidthSpace','\u2262':'nequiv','\u2928':'toea','\u2242\u0338':'nesim','\n':'NewLine','\u2204':'nexist','\uD835\uDD11':'Nfr','\uD835\uDD2B':'nfr','\u2267\u0338':'ngE','\u2271':'nge','\u2A7E\u0338':'nges','\u22D9\u0338':'nGg','\u2275':'ngsim','\u226B\u20D2':'nGt','\u226F':'ngt','\u226B\u0338':'nGtv','\u21AE':'nharr','\u21CE':'nhArr','\u2AF2':'nhpar','\u220B':'ni','\u22FC':'nis','\u22FA':'nisd','\u040A':'NJcy','\u045A':'njcy','\u219A':'nlarr','\u21CD':'nlArr','\u2025':'nldr','\u2266\u0338':'nlE','\u2270':'nle','\u2A7D\u0338':'nles','\u226E':'nlt','\u22D8\u0338':'nLl','\u2274':'nlsim','\u226A\u20D2':'nLt','\u22EA':'nltri','\u22EC':'nltrie','\u226A\u0338':'nLtv','\u2224':'nmid','\u2060':'NoBreak','\uD835\uDD5F':'nopf','\u2AEC':'Not','\xAC':'not','\u226D':'NotCupCap','\u2226':'npar','\u2209':'notin','\u2279':'ntgl','\u22F5\u0338':'notindot','\u22F9\u0338':'notinE','\u22F7':'notinvb','\u22F6':'notinvc','\u29CF\u0338':'NotLeftTriangleBar','\u2278':'ntlg','\u2AA2\u0338':'NotNestedGreaterGreater','\u2AA1\u0338':'NotNestedLessLess','\u220C':'notni','\u22FE':'notnivb','\u22FD':'notnivc','\u2280':'npr','\u2AAF\u0338':'npre','\u22E0':'nprcue','\u29D0\u0338':'NotRightTriangleBar','\u22EB':'nrtri','\u22ED':'nrtrie','\u228F\u0338':'NotSquareSubset','\u22E2':'nsqsube','\u2290\u0338':'NotSquareSuperset','\u22E3':'nsqsupe','\u2282\u20D2':'vnsub','\u2288':'nsube','\u2281':'nsc','\u2AB0\u0338':'nsce','\u22E1':'nsccue','\u227F\u0338':'NotSucceedsTilde','\u2283\u20D2':'vnsup','\u2289':'nsupe','\u2241':'nsim','\u2244':'nsime','\u2AFD\u20E5':'nparsl','\u2202\u0338':'npart','\u2A14':'npolint','\u2933\u0338':'nrarrc','\u219B':'nrarr','\u21CF':'nrArr','\u219D\u0338':'nrarrw','\uD835\uDCA9':'Nscr','\uD835\uDCC3':'nscr','\u2284':'nsub','\u2AC5\u0338':'nsubE','\u2285':'nsup','\u2AC6\u0338':'nsupE','\xD1':'Ntilde','\xF1':'ntilde','\u039D':'Nu','\u03BD':'nu','#':'num','\u2116':'numero','\u2007':'numsp','\u224D\u20D2':'nvap','\u22AC':'nvdash','\u22AD':'nvDash','\u22AE':'nVdash','\u22AF':'nVDash','\u2265\u20D2':'nvge','>\u20D2':'nvgt','\u2904':'nvHarr','\u29DE':'nvinfin','\u2902':'nvlArr','\u2264\u20D2':'nvle','<\u20D2':'nvlt','\u22B4\u20D2':'nvltrie','\u2903':'nvrArr','\u22B5\u20D2':'nvrtrie','\u223C\u20D2':'nvsim','\u2923':'nwarhk','\u2196':'nwarr','\u21D6':'nwArr','\u2927':'nwnear','\xD3':'Oacute','\xF3':'oacute','\xD4':'Ocirc','\xF4':'ocirc','\u041E':'Ocy','\u043E':'ocy','\u0150':'Odblac','\u0151':'odblac','\u2A38':'odiv','\u29BC':'odsold','\u0152':'OElig','\u0153':'oelig','\u29BF':'ofcir','\uD835\uDD12':'Ofr','\uD835\uDD2C':'ofr','\u02DB':'ogon','\xD2':'Ograve','\xF2':'ograve','\u29C1':'ogt','\u29B5':'ohbar','\u03A9':'ohm','\u29BE':'olcir','\u29BB':'olcross','\u203E':'oline','\u29C0':'olt','\u014C':'Omacr','\u014D':'omacr','\u03C9':'omega','\u039F':'Omicron','\u03BF':'omicron','\u29B6':'omid','\uD835\uDD46':'Oopf','\uD835\uDD60':'oopf','\u29B7':'opar','\u29B9':'operp','\u2A54':'Or','\u2228':'or','\u2A5D':'ord','\u2134':'oscr','\xAA':'ordf','\xBA':'ordm','\u22B6':'origof','\u2A56':'oror','\u2A57':'orslope','\u2A5B':'orv','\uD835\uDCAA':'Oscr','\xD8':'Oslash','\xF8':'oslash','\u2298':'osol','\xD5':'Otilde','\xF5':'otilde','\u2A36':'otimesas','\u2A37':'Otimes','\xD6':'Ouml','\xF6':'ouml','\u233D':'ovbar','\u23DE':'OverBrace','\u23B4':'tbrk','\u23DC':'OverParenthesis','\xB6':'para','\u2AF3':'parsim','\u2AFD':'parsl','\u2202':'part','\u041F':'Pcy','\u043F':'pcy','%':'percnt','.':'period','\u2030':'permil','\u2031':'pertenk','\uD835\uDD13':'Pfr','\uD835\uDD2D':'pfr','\u03A6':'Phi','\u03C6':'phi','\u03D5':'phiv','\u260E':'phone','\u03A0':'Pi','\u03C0':'pi','\u03D6':'piv','\u210E':'planckh','\u2A23':'plusacir','\u2A22':'pluscir','+':'plus','\u2A25':'plusdu','\u2A72':'pluse','\xB1':'pm','\u2A26':'plussim','\u2A27':'plustwo','\u2A15':'pointint','\uD835\uDD61':'popf','\u2119':'Popf','\xA3':'pound','\u2AB7':'prap','\u2ABB':'Pr','\u227A':'pr','\u227C':'prcue','\u2AAF':'pre','\u227E':'prsim','\u2AB9':'prnap','\u2AB5':'prnE','\u22E8':'prnsim','\u2AB3':'prE','\u2032':'prime','\u2033':'Prime','\u220F':'prod','\u232E':'profalar','\u2312':'profline','\u2313':'profsurf','\u221D':'prop','\u22B0':'prurel','\uD835\uDCAB':'Pscr','\uD835\uDCC5':'pscr','\u03A8':'Psi','\u03C8':'psi','\u2008':'puncsp','\uD835\uDD14':'Qfr','\uD835\uDD2E':'qfr','\uD835\uDD62':'qopf','\u211A':'Qopf','\u2057':'qprime','\uD835\uDCAC':'Qscr','\uD835\uDCC6':'qscr','\u2A16':'quatint','?':'quest','"':'quot','\u21DB':'rAarr','\u223D\u0331':'race','\u0154':'Racute','\u0155':'racute','\u221A':'Sqrt','\u29B3':'raemptyv','\u27E9':'rang','\u27EB':'Rang','\u2992':'rangd','\u29A5':'range','\xBB':'raquo','\u2975':'rarrap','\u21E5':'rarrb','\u2920':'rarrbfs','\u2933':'rarrc','\u2192':'rarr','\u21A0':'Rarr','\u291E':'rarrfs','\u2945':'rarrpl','\u2974':'rarrsim','\u2916':'Rarrtl','\u21A3':'rarrtl','\u219D':'rarrw','\u291A':'ratail','\u291C':'rAtail','\u2236':'ratio','\u2773':'rbbrk','}':'rcub',']':'rsqb','\u298C':'rbrke','\u298E':'rbrksld','\u2990':'rbrkslu','\u0158':'Rcaron','\u0159':'rcaron','\u0156':'Rcedil','\u0157':'rcedil','\u2309':'rceil','\u0420':'Rcy','\u0440':'rcy','\u2937':'rdca','\u2969':'rdldhar','\u21B3':'rdsh','\u211C':'Re','\u211B':'Rscr','\u211D':'Ropf','\u25AD':'rect','\u297D':'rfisht','\u230B':'rfloor','\uD835\uDD2F':'rfr','\u2964':'rHar','\u21C0':'rharu','\u296C':'rharul','\u03A1':'Rho','\u03C1':'rho','\u03F1':'rhov','\u21C4':'rlarr','\u27E7':'robrk','\u295D':'RightDownTeeVector','\u2955':'RightDownVectorBar','\u21C9':'rrarr','\u22A2':'vdash','\u295B':'RightTeeVector','\u22CC':'rthree','\u29D0':'RightTriangleBar','\u22B3':'vrtri','\u22B5':'rtrie','\u294F':'RightUpDownVector','\u295C':'RightUpTeeVector','\u2954':'RightUpVectorBar','\u21BE':'uharr','\u2953':'RightVectorBar','\u02DA':'ring','\u200F':'rlm','\u23B1':'rmoust','\u2AEE':'rnmid','\u27ED':'roang','\u21FE':'roarr','\u2986':'ropar','\uD835\uDD63':'ropf','\u2A2E':'roplus','\u2A35':'rotimes','\u2970':'RoundImplies',')':'rpar','\u2994':'rpargt','\u2A12':'rppolint','\u203A':'rsaquo','\uD835\uDCC7':'rscr','\u21B1':'rsh','\u22CA':'rtimes','\u25B9':'rtri','\u29CE':'rtriltri','\u29F4':'RuleDelayed','\u2968':'ruluhar','\u211E':'rx','\u015A':'Sacute','\u015B':'sacute','\u2AB8':'scap','\u0160':'Scaron','\u0161':'scaron','\u2ABC':'Sc','\u227B':'sc','\u227D':'sccue','\u2AB0':'sce','\u2AB4':'scE','\u015E':'Scedil','\u015F':'scedil','\u015C':'Scirc','\u015D':'scirc','\u2ABA':'scnap','\u2AB6':'scnE','\u22E9':'scnsim','\u2A13':'scpolint','\u227F':'scsim','\u0421':'Scy','\u0441':'scy','\u22C5':'sdot','\u2A66':'sdote','\u21D8':'seArr','\xA7':'sect',';':'semi','\u2929':'tosa','\u2736':'sext','\uD835\uDD16':'Sfr','\uD835\uDD30':'sfr','\u266F':'sharp','\u0429':'SHCHcy','\u0449':'shchcy','\u0428':'SHcy','\u0448':'shcy','\u2191':'uarr','\xAD':'shy','\u03A3':'Sigma','\u03C3':'sigma','\u03C2':'sigmaf','\u223C':'sim','\u2A6A':'simdot','\u2243':'sime','\u2A9E':'simg','\u2AA0':'simgE','\u2A9D':'siml','\u2A9F':'simlE','\u2246':'simne','\u2A24':'simplus','\u2972':'simrarr','\u2A33':'smashp','\u29E4':'smeparsl','\u2323':'smile','\u2AAA':'smt','\u2AAC':'smte','\u2AAC\uFE00':'smtes','\u042C':'SOFTcy','\u044C':'softcy','\u233F':'solbar','\u29C4':'solb','/':'sol','\uD835\uDD4A':'Sopf','\uD835\uDD64':'sopf','\u2660':'spades','\u2293':'sqcap','\u2293\uFE00':'sqcaps','\u2294':'sqcup','\u2294\uFE00':'sqcups','\u228F':'sqsub','\u2291':'sqsube','\u2290':'sqsup','\u2292':'sqsupe','\u25A1':'squ','\uD835\uDCAE':'Sscr','\uD835\uDCC8':'sscr','\u22C6':'Star','\u2606':'star','\u2282':'sub','\u22D0':'Sub','\u2ABD':'subdot','\u2AC5':'subE','\u2286':'sube','\u2AC3':'subedot','\u2AC1':'submult','\u2ACB':'subnE','\u228A':'subne','\u2ABF':'subplus','\u2979':'subrarr','\u2AC7':'subsim','\u2AD5':'subsub','\u2AD3':'subsup','\u2211':'sum','\u266A':'sung','\xB9':'sup1','\xB2':'sup2','\xB3':'sup3','\u2283':'sup','\u22D1':'Sup','\u2ABE':'supdot','\u2AD8':'supdsub','\u2AC6':'supE','\u2287':'supe','\u2AC4':'supedot','\u27C9':'suphsol','\u2AD7':'suphsub','\u297B':'suplarr','\u2AC2':'supmult','\u2ACC':'supnE','\u228B':'supne','\u2AC0':'supplus','\u2AC8':'supsim','\u2AD4':'supsub','\u2AD6':'supsup','\u21D9':'swArr','\u292A':'swnwar','\xDF':'szlig','\t':'Tab','\u2316':'target','\u03A4':'Tau','\u03C4':'tau','\u0164':'Tcaron','\u0165':'tcaron','\u0162':'Tcedil','\u0163':'tcedil','\u0422':'Tcy','\u0442':'tcy','\u20DB':'tdot','\u2315':'telrec','\uD835\uDD17':'Tfr','\uD835\uDD31':'tfr','\u2234':'there4','\u0398':'Theta','\u03B8':'theta','\u03D1':'thetav','\u205F\u200A':'ThickSpace','\u2009':'thinsp','\xDE':'THORN','\xFE':'thorn','\u2A31':'timesbar','\xD7':'times','\u2A30':'timesd','\u2336':'topbot','\u2AF1':'topcir','\uD835\uDD4B':'Topf','\uD835\uDD65':'topf','\u2ADA':'topfork','\u2034':'tprime','\u2122':'trade','\u25B5':'utri','\u225C':'trie','\u25EC':'tridot','\u2A3A':'triminus','\u2A39':'triplus','\u29CD':'trisb','\u2A3B':'tritime','\u23E2':'trpezium','\uD835\uDCAF':'Tscr','\uD835\uDCC9':'tscr','\u0426':'TScy','\u0446':'tscy','\u040B':'TSHcy','\u045B':'tshcy','\u0166':'Tstrok','\u0167':'tstrok','\xDA':'Uacute','\xFA':'uacute','\u219F':'Uarr','\u2949':'Uarrocir','\u040E':'Ubrcy','\u045E':'ubrcy','\u016C':'Ubreve','\u016D':'ubreve','\xDB':'Ucirc','\xFB':'ucirc','\u0423':'Ucy','\u0443':'ucy','\u21C5':'udarr','\u0170':'Udblac','\u0171':'udblac','\u296E':'udhar','\u297E':'ufisht','\uD835\uDD18':'Ufr','\uD835\uDD32':'ufr','\xD9':'Ugrave','\xF9':'ugrave','\u2963':'uHar','\u2580':'uhblk','\u231C':'ulcorn','\u230F':'ulcrop','\u25F8':'ultri','\u016A':'Umacr','\u016B':'umacr','\u23DF':'UnderBrace','\u23DD':'UnderParenthesis','\u228E':'uplus','\u0172':'Uogon','\u0173':'uogon','\uD835\uDD4C':'Uopf','\uD835\uDD66':'uopf','\u2912':'UpArrowBar','\u2195':'varr','\u03C5':'upsi','\u03D2':'Upsi','\u03A5':'Upsilon','\u21C8':'uuarr','\u231D':'urcorn','\u230E':'urcrop','\u016E':'Uring','\u016F':'uring','\u25F9':'urtri','\uD835\uDCB0':'Uscr','\uD835\uDCCA':'uscr','\u22F0':'utdot','\u0168':'Utilde','\u0169':'utilde','\xDC':'Uuml','\xFC':'uuml','\u29A7':'uwangle','\u299C':'vangrt','\u228A\uFE00':'vsubne','\u2ACB\uFE00':'vsubnE','\u228B\uFE00':'vsupne','\u2ACC\uFE00':'vsupnE','\u2AE8':'vBar','\u2AEB':'Vbar','\u2AE9':'vBarv','\u0412':'Vcy','\u0432':'vcy','\u22A9':'Vdash','\u22AB':'VDash','\u2AE6':'Vdashl','\u22BB':'veebar','\u225A':'veeeq','\u22EE':'vellip','|':'vert','\u2016':'Vert','\u2758':'VerticalSeparator','\u2240':'wr','\uD835\uDD19':'Vfr','\uD835\uDD33':'vfr','\uD835\uDD4D':'Vopf','\uD835\uDD67':'vopf','\uD835\uDCB1':'Vscr','\uD835\uDCCB':'vscr','\u22AA':'Vvdash','\u299A':'vzigzag','\u0174':'Wcirc','\u0175':'wcirc','\u2A5F':'wedbar','\u2259':'wedgeq','\u2118':'wp','\uD835\uDD1A':'Wfr','\uD835\uDD34':'wfr','\uD835\uDD4E':'Wopf','\uD835\uDD68':'wopf','\uD835\uDCB2':'Wscr','\uD835\uDCCC':'wscr','\uD835\uDD1B':'Xfr','\uD835\uDD35':'xfr','\u039E':'Xi','\u03BE':'xi','\u22FB':'xnis','\uD835\uDD4F':'Xopf','\uD835\uDD69':'xopf','\uD835\uDCB3':'Xscr','\uD835\uDCCD':'xscr','\xDD':'Yacute','\xFD':'yacute','\u042F':'YAcy','\u044F':'yacy','\u0176':'Ycirc','\u0177':'ycirc','\u042B':'Ycy','\u044B':'ycy','\xA5':'yen','\uD835\uDD1C':'Yfr','\uD835\uDD36':'yfr','\u0407':'YIcy','\u0457':'yicy','\uD835\uDD50':'Yopf','\uD835\uDD6A':'yopf','\uD835\uDCB4':'Yscr','\uD835\uDCCE':'yscr','\u042E':'YUcy','\u044E':'yucy','\xFF':'yuml','\u0178':'Yuml','\u0179':'Zacute','\u017A':'zacute','\u017D':'Zcaron','\u017E':'zcaron','\u0417':'Zcy','\u0437':'zcy','\u017B':'Zdot','\u017C':'zdot','\u2128':'Zfr','\u0396':'Zeta','\u03B6':'zeta','\uD835\uDD37':'zfr','\u0416':'ZHcy','\u0436':'zhcy','\u21DD':'zigrarr','\uD835\uDD6B':'zopf','\uD835\uDCB5':'Zscr','\uD835\uDCCF':'zscr','\u200D':'zwj','\u200C':'zwnj'};
var regexEscape = /["&'<>`]/g;
var escapeMap = {
'"': '&quot;',
'&': '&amp;',
'\'': '&#x27;',
'<': '&lt;',
// See https://mathiasbynens.be/notes/ambiguous-ampersands: in HTML, the
// following is not strictly necessary unless it’s part of a tag or an
// unquoted attribute value. We’re only escaping it to support those
// situations, and for XML support.
'>': '&gt;',
// In Internet Explorer ≤ 8, the backtick character can be used
// to break out of (un)quoted attribute values or HTML comments.
// See http://html5sec.org/#102, http://html5sec.org/#108, and
// http://html5sec.org/#133.
'`': '&#x60;'
};
var regexInvalidEntity = /&#(?:[xX][^a-fA-F0-9]|[^0-9xX])/;
var regexInvalidRawCodePoint = /[\0-\x08\x0B\x0E-\x1F\x7F-\x9F\uFDD0-\uFDEF\uFFFE\uFFFF]|[\uD83F\uD87F\uD8BF\uD8FF\uD93F\uD97F\uD9BF\uD9FF\uDA3F\uDA7F\uDABF\uDAFF\uDB3F\uDB7F\uDBBF\uDBFF][\uDFFE\uDFFF]|[\uD800-\uDBFF](?![\uDC00-\uDFFF])|(?:[^\uD800-\uDBFF]|^)[\uDC00-\uDFFF]/;
var regexDecode = /&#([0-9]+)(;?)|&#[xX]([a-fA-F0-9]+)(;?)|&([0-9a-zA-Z]+);|&(Aacute|iacute|Uacute|plusmn|otilde|Otilde|Agrave|agrave|yacute|Yacute|oslash|Oslash|Atilde|atilde|brvbar|Ccedil|ccedil|ograve|curren|divide|Eacute|eacute|Ograve|oacute|Egrave|egrave|ugrave|frac12|frac14|frac34|Ugrave|Oacute|Iacute|ntilde|Ntilde|uacute|middot|Igrave|igrave|iquest|aacute|laquo|THORN|micro|iexcl|icirc|Icirc|Acirc|ucirc|ecirc|Ocirc|ocirc|Ecirc|Ucirc|aring|Aring|aelig|AElig|acute|pound|raquo|acirc|times|thorn|szlig|cedil|COPY|Auml|ordf|ordm|uuml|macr|Uuml|auml|Ouml|ouml|para|nbsp|Euml|quot|QUOT|euml|yuml|cent|sect|copy|sup1|sup2|sup3|Iuml|iuml|shy|eth|reg|not|yen|amp|AMP|REG|uml|ETH|deg|gt|GT|LT|lt)([=a-zA-Z0-9])?/g;
var decodeMap = {'Aacute':'\xC1','aacute':'\xE1','Abreve':'\u0102','abreve':'\u0103','ac':'\u223E','acd':'\u223F','acE':'\u223E\u0333','Acirc':'\xC2','acirc':'\xE2','acute':'\xB4','Acy':'\u0410','acy':'\u0430','AElig':'\xC6','aelig':'\xE6','af':'\u2061','Afr':'\uD835\uDD04','afr':'\uD835\uDD1E','Agrave':'\xC0','agrave':'\xE0','alefsym':'\u2135','aleph':'\u2135','Alpha':'\u0391','alpha':'\u03B1','Amacr':'\u0100','amacr':'\u0101','amalg':'\u2A3F','amp':'&','AMP':'&','andand':'\u2A55','And':'\u2A53','and':'\u2227','andd':'\u2A5C','andslope':'\u2A58','andv':'\u2A5A','ang':'\u2220','ange':'\u29A4','angle':'\u2220','angmsdaa':'\u29A8','angmsdab':'\u29A9','angmsdac':'\u29AA','angmsdad':'\u29AB','angmsdae':'\u29AC','angmsdaf':'\u29AD','angmsdag':'\u29AE','angmsdah':'\u29AF','angmsd':'\u2221','angrt':'\u221F','angrtvb':'\u22BE','angrtvbd':'\u299D','angsph':'\u2222','angst':'\xC5','angzarr':'\u237C','Aogon':'\u0104','aogon':'\u0105','Aopf':'\uD835\uDD38','aopf':'\uD835\uDD52','apacir':'\u2A6F','ap':'\u2248','apE':'\u2A70','ape':'\u224A','apid':'\u224B','apos':'\'','ApplyFunction':'\u2061','approx':'\u2248','approxeq':'\u224A','Aring':'\xC5','aring':'\xE5','Ascr':'\uD835\uDC9C','ascr':'\uD835\uDCB6','Assign':'\u2254','ast':'*','asymp':'\u2248','asympeq':'\u224D','Atilde':'\xC3','atilde':'\xE3','Auml':'\xC4','auml':'\xE4','awconint':'\u2233','awint':'\u2A11','backcong':'\u224C','backepsilon':'\u03F6','backprime':'\u2035','backsim':'\u223D','backsimeq':'\u22CD','Backslash':'\u2216','Barv':'\u2AE7','barvee':'\u22BD','barwed':'\u2305','Barwed':'\u2306','barwedge':'\u2305','bbrk':'\u23B5','bbrktbrk':'\u23B6','bcong':'\u224C','Bcy':'\u0411','bcy':'\u0431','bdquo':'\u201E','becaus':'\u2235','because':'\u2235','Because':'\u2235','bemptyv':'\u29B0','bepsi':'\u03F6','bernou':'\u212C','Bernoullis':'\u212C','Beta':'\u0392','beta':'\u03B2','beth':'\u2136','between':'\u226C','Bfr':'\uD835\uDD05','bfr':'\uD835\uDD1F','bigcap':'\u22C2','bigcirc':'\u25EF','bigcup':'\u22C3','bigodot':'\u2A00','bigoplus':'\u2A01','bigotimes':'\u2A02','bigsqcup':'\u2A06','bigstar':'\u2605','bigtriangledown':'\u25BD','bigtriangleup':'\u25B3','biguplus':'\u2A04','bigvee':'\u22C1','bigwedge':'\u22C0','bkarow':'\u290D','blacklozenge':'\u29EB','blacksquare':'\u25AA','blacktriangle':'\u25B4','blacktriangledown':'\u25BE','blacktriangleleft':'\u25C2','blacktriangleright':'\u25B8','blank':'\u2423','blk12':'\u2592','blk14':'\u2591','blk34':'\u2593','block':'\u2588','bne':'=\u20E5','bnequiv':'\u2261\u20E5','bNot':'\u2AED','bnot':'\u2310','Bopf':'\uD835\uDD39','bopf':'\uD835\uDD53','bot':'\u22A5','bottom':'\u22A5','bowtie':'\u22C8','boxbox':'\u29C9','boxdl':'\u2510','boxdL':'\u2555','boxDl':'\u2556','boxDL':'\u2557','boxdr':'\u250C','boxdR':'\u2552','boxDr':'\u2553','boxDR':'\u2554','boxh':'\u2500','boxH':'\u2550','boxhd':'\u252C','boxHd':'\u2564','boxhD':'\u2565','boxHD':'\u2566','boxhu':'\u2534','boxHu':'\u2567','boxhU':'\u2568','boxHU':'\u2569','boxminus':'\u229F','boxplus':'\u229E','boxtimes':'\u22A0','boxul':'\u2518','boxuL':'\u255B','boxUl':'\u255C','boxUL':'\u255D','boxur':'\u2514','boxuR':'\u2558','boxUr':'\u2559','boxUR':'\u255A','boxv':'\u2502','boxV':'\u2551','boxvh':'\u253C','boxvH':'\u256A','boxVh':'\u256B','boxVH':'\u256C','boxvl':'\u2524','boxvL':'\u2561','boxVl':'\u2562','boxVL':'\u2563','boxvr':'\u251C','boxvR':'\u255E','boxVr':'\u255F','boxVR':'\u2560','bprime':'\u2035','breve':'\u02D8','Breve':'\u02D8','brvbar':'\xA6','bscr':'\uD835\uDCB7','Bscr':'\u212C','bsemi':'\u204F','bsim':'\u223D','bsime':'\u22CD','bsolb':'\u29C5','bsol':'\\','bsolhsub':'\u27C8','bull':'\u2022','bullet':'\u2022','bump':'\u224E','bumpE':'\u2AAE','bumpe':'\u224F','Bumpeq':'\u224E','bumpeq':'\u224F','Cacute':'\u0106','cacute':'\u0107','capand':'\u2A44','capbrcup':'\u2A49','capcap':'\u2A4B','cap':'\u2229','Cap':'\u22D2','capcup':'\u2A47','capdot':'\u2A40','CapitalDifferentialD':'\u2145','caps':'\u2229\uFE00','caret':'\u2041','caron':'\u02C7','Cayleys':'\u212D','ccaps':'\u2A4D','Ccaron':'\u010C','ccaron':'\u010D','Ccedil':'\xC7','ccedil':'\xE7','Ccirc':'\u0108','ccirc':'\u0109','Cconint':'\u2230','ccups':'\u2A4C','ccupssm':'\u2A50','Cdot':'\u010A','cdot':'\u010B','cedil':'\xB8','Cedilla':'\xB8','cemptyv':'\u29B2','cent':'\xA2','centerdot':'\xB7','CenterDot':'\xB7','cfr':'\uD835\uDD20','Cfr':'\u212D','CHcy':'\u0427','chcy':'\u0447','check':'\u2713','checkmark':'\u2713','Chi':'\u03A7','chi':'\u03C7','circ':'\u02C6','circeq':'\u2257','circlearrowleft':'\u21BA','circlearrowright':'\u21BB','circledast':'\u229B','circledcirc':'\u229A','circleddash':'\u229D','CircleDot':'\u2299','circledR':'\xAE','circledS':'\u24C8','CircleMinus':'\u2296','CirclePlus':'\u2295','CircleTimes':'\u2297','cir':'\u25CB','cirE':'\u29C3','cire':'\u2257','cirfnint':'\u2A10','cirmid':'\u2AEF','cirscir':'\u29C2','ClockwiseContourIntegral':'\u2232','CloseCurlyDoubleQuote':'\u201D','CloseCurlyQuote':'\u2019','clubs':'\u2663','clubsuit':'\u2663','colon':':','Colon':'\u2237','Colone':'\u2A74','colone':'\u2254','coloneq':'\u2254','comma':',','commat':'@','comp':'\u2201','compfn':'\u2218','complement':'\u2201','complexes':'\u2102','cong':'\u2245','congdot':'\u2A6D','Congruent':'\u2261','conint':'\u222E','Conint':'\u222F','ContourIntegral':'\u222E','copf':'\uD835\uDD54','Copf':'\u2102','coprod':'\u2210','Coproduct':'\u2210','copy':'\xA9','COPY':'\xA9','copysr':'\u2117','CounterClockwiseContourIntegral':'\u2233','crarr':'\u21B5','cross':'\u2717','Cross':'\u2A2F','Cscr':'\uD835\uDC9E','cscr':'\uD835\uDCB8','csub':'\u2ACF','csube':'\u2AD1','csup':'\u2AD0','csupe':'\u2AD2','ctdot':'\u22EF','cudarrl':'\u2938','cudarrr':'\u2935','cuepr':'\u22DE','cuesc':'\u22DF','cularr':'\u21B6','cularrp':'\u293D','cupbrcap':'\u2A48','cupcap':'\u2A46','CupCap':'\u224D','cup':'\u222A','Cup':'\u22D3','cupcup':'\u2A4A','cupdot':'\u228D','cupor':'\u2A45','cups':'\u222A\uFE00','curarr':'\u21B7','curarrm':'\u293C','curlyeqprec':'\u22DE','curlyeqsucc':'\u22DF','curlyvee':'\u22CE','curlywedge':'\u22CF','curren':'\xA4','curvearrowleft':'\u21B6','curvearrowright':'\u21B7','cuvee':'\u22CE','cuwed':'\u22CF','cwconint':'\u2232','cwint':'\u2231','cylcty':'\u232D','dagger':'\u2020','Dagger':'\u2021','daleth':'\u2138','darr':'\u2193','Darr':'\u21A1','dArr':'\u21D3','dash':'\u2010','Dashv':'\u2AE4','dashv':'\u22A3','dbkarow':'\u290F','dblac':'\u02DD','Dcaron':'\u010E','dcaron':'\u010F','Dcy':'\u0414','dcy':'\u0434','ddagger':'\u2021','ddarr':'\u21CA','DD':'\u2145','dd':'\u2146','DDotrahd':'\u2911','ddotseq':'\u2A77','deg':'\xB0','Del':'\u2207','Delta':'\u0394','delta':'\u03B4','demptyv':'\u29B1','dfisht':'\u297F','Dfr':'\uD835\uDD07','dfr':'\uD835\uDD21','dHar':'\u2965','dharl':'\u21C3','dharr':'\u21C2','DiacriticalAcute':'\xB4','DiacriticalDot':'\u02D9','DiacriticalDoubleAcute':'\u02DD','DiacriticalGrave':'`','DiacriticalTilde':'\u02DC','diam':'\u22C4','diamond':'\u22C4','Diamond':'\u22C4','diamondsuit':'\u2666','diams':'\u2666','die':'\xA8','DifferentialD':'\u2146','digamma':'\u03DD','disin':'\u22F2','div':'\xF7','divide':'\xF7','divideontimes':'\u22C7','divonx':'\u22C7','DJcy':'\u0402','djcy':'\u0452','dlcorn':'\u231E','dlcrop':'\u230D','dollar':'$','Dopf':'\uD835\uDD3B','dopf':'\uD835\uDD55','Dot':'\xA8','dot':'\u02D9','DotDot':'\u20DC','doteq':'\u2250','doteqdot':'\u2251','DotEqual':'\u2250','dotminus':'\u2238','dotplus':'\u2214','dotsquare':'\u22A1','doublebarwedge':'\u2306','DoubleContourIntegral':'\u222F','DoubleDot':'\xA8','DoubleDownArrow':'\u21D3','DoubleLeftArrow':'\u21D0','DoubleLeftRightArrow':'\u21D4','DoubleLeftTee':'\u2AE4','DoubleLongLeftArrow':'\u27F8','DoubleLongLeftRightArrow':'\u27FA','DoubleLongRightArrow':'\u27F9','DoubleRightArrow':'\u21D2','DoubleRightTee':'\u22A8','DoubleUpArrow':'\u21D1','DoubleUpDownArrow':'\u21D5','DoubleVerticalBar':'\u2225','DownArrowBar':'\u2913','downarrow':'\u2193','DownArrow':'\u2193','Downarrow':'\u21D3','DownArrowUpArrow':'\u21F5','DownBreve':'\u0311','downdownarrows':'\u21CA','downharpoonleft':'\u21C3','downharpoonright':'\u21C2','DownLeftRightVector':'\u2950','DownLeftTeeVector':'\u295E','DownLeftVectorBar':'\u2956','DownLeftVector':'\u21BD','DownRightTeeVector':'\u295F','DownRightVectorBar':'\u2957','DownRightVector':'\u21C1','DownTeeArrow':'\u21A7','DownTee':'\u22A4','drbkarow':'\u2910','drcorn':'\u231F','drcrop':'\u230C','Dscr':'\uD835\uDC9F','dscr':'\uD835\uDCB9','DScy':'\u0405','dscy':'\u0455','dsol':'\u29F6','Dstrok':'\u0110','dstrok':'\u0111','dtdot':'\u22F1','dtri':'\u25BF','dtrif':'\u25BE','duarr':'\u21F5','duhar':'\u296F','dwangle':'\u29A6','DZcy':'\u040F','dzcy':'\u045F','dzigrarr':'\u27FF','Eacute':'\xC9','eacute':'\xE9','easter':'\u2A6E','Ecaron':'\u011A','ecaron':'\u011B','Ecirc':'\xCA','ecirc':'\xEA','ecir':'\u2256','ecolon':'\u2255','Ecy':'\u042D','ecy':'\u044D','eDDot':'\u2A77','Edot':'\u0116','edot':'\u0117','eDot':'\u2251','ee':'\u2147','efDot':'\u2252','Efr':'\uD835\uDD08','efr':'\uD835\uDD22','eg':'\u2A9A','Egrave':'\xC8','egrave':'\xE8','egs':'\u2A96','egsdot':'\u2A98','el':'\u2A99','Element':'\u2208','elinters':'\u23E7','ell':'\u2113','els':'\u2A95','elsdot':'\u2A97','Emacr':'\u0112','emacr':'\u0113','empty':'\u2205','emptyset':'\u2205','EmptySmallSquare':'\u25FB','emptyv':'\u2205','EmptyVerySmallSquare':'\u25AB','emsp13':'\u2004','emsp14':'\u2005','emsp':'\u2003','ENG':'\u014A','eng':'\u014B','ensp':'\u2002','Eogon':'\u0118','eogon':'\u0119','Eopf':'\uD835\uDD3C','eopf':'\uD835\uDD56','epar':'\u22D5','eparsl':'\u29E3','eplus':'\u2A71','epsi':'\u03B5','Epsilon':'\u0395','epsilon':'\u03B5','epsiv':'\u03F5','eqcirc':'\u2256','eqcolon':'\u2255','eqsim':'\u2242','eqslantgtr':'\u2A96','eqslantless':'\u2A95','Equal':'\u2A75','equals':'=','EqualTilde':'\u2242','equest':'\u225F','Equilibrium':'\u21CC','equiv':'\u2261','equivDD':'\u2A78','eqvparsl':'\u29E5','erarr':'\u2971','erDot':'\u2253','escr':'\u212F','Escr':'\u2130','esdot':'\u2250','Esim':'\u2A73','esim':'\u2242','Eta':'\u0397','eta':'\u03B7','ETH':'\xD0','eth':'\xF0','Euml':'\xCB','euml':'\xEB','euro':'\u20AC','excl':'!','exist':'\u2203','Exists':'\u2203','expectation':'\u2130','exponentiale':'\u2147','ExponentialE':'\u2147','fallingdotseq':'\u2252','Fcy':'\u0424','fcy':'\u0444','female':'\u2640','ffilig':'\uFB03','fflig':'\uFB00','ffllig':'\uFB04','Ffr':'\uD835\uDD09','ffr':'\uD835\uDD23','filig':'\uFB01','FilledSmallSquare':'\u25FC','FilledVerySmallSquare':'\u25AA','fjlig':'fj','flat':'\u266D','fllig':'\uFB02','fltns':'\u25B1','fnof':'\u0192','Fopf':'\uD835\uDD3D','fopf':'\uD835\uDD57','forall':'\u2200','ForAll':'\u2200','fork':'\u22D4','forkv':'\u2AD9','Fouriertrf':'\u2131','fpartint':'\u2A0D','frac12':'\xBD','frac13':'\u2153','frac14':'\xBC','frac15':'\u2155','frac16':'\u2159','frac18':'\u215B','frac23':'\u2154','frac25':'\u2156','frac34':'\xBE','frac35':'\u2157','frac38':'\u215C','frac45':'\u2158','frac56':'\u215A','frac58':'\u215D','frac78':'\u215E','frasl':'\u2044','frown':'\u2322','fscr':'\uD835\uDCBB','Fscr':'\u2131','gacute':'\u01F5','Gamma':'\u0393','gamma':'\u03B3','Gammad':'\u03DC','gammad':'\u03DD','gap':'\u2A86','Gbreve':'\u011E','gbreve':'\u011F','Gcedil':'\u0122','Gcirc':'\u011C','gcirc':'\u011D','Gcy':'\u0413','gcy':'\u0433','Gdot':'\u0120','gdot':'\u0121','ge':'\u2265','gE':'\u2267','gEl':'\u2A8C','gel':'\u22DB','geq':'\u2265','geqq':'\u2267','geqslant':'\u2A7E','gescc':'\u2AA9','ges':'\u2A7E','gesdot':'\u2A80','gesdoto':'\u2A82','gesdotol':'\u2A84','gesl':'\u22DB\uFE00','gesles':'\u2A94','Gfr':'\uD835\uDD0A','gfr':'\uD835\uDD24','gg':'\u226B','Gg':'\u22D9','ggg':'\u22D9','gimel':'\u2137','GJcy':'\u0403','gjcy':'\u0453','gla':'\u2AA5','gl':'\u2277','glE':'\u2A92','glj':'\u2AA4','gnap':'\u2A8A','gnapprox':'\u2A8A','gne':'\u2A88','gnE':'\u2269','gneq':'\u2A88','gneqq':'\u2269','gnsim':'\u22E7','Gopf':'\uD835\uDD3E','gopf':'\uD835\uDD58','grave':'`','GreaterEqual':'\u2265','GreaterEqualLess':'\u22DB','GreaterFullEqual':'\u2267','GreaterGreater':'\u2AA2','GreaterLess':'\u2277','GreaterSlantEqual':'\u2A7E','GreaterTilde':'\u2273','Gscr':'\uD835\uDCA2','gscr':'\u210A','gsim':'\u2273','gsime':'\u2A8E','gsiml':'\u2A90','gtcc':'\u2AA7','gtcir':'\u2A7A','gt':'>','GT':'>','Gt':'\u226B','gtdot':'\u22D7','gtlPar':'\u2995','gtquest':'\u2A7C','gtrapprox':'\u2A86','gtrarr':'\u2978','gtrdot':'\u22D7','gtreqless':'\u22DB','gtreqqless':'\u2A8C','gtrless':'\u2277','gtrsim':'\u2273','gvertneqq':'\u2269\uFE00','gvnE':'\u2269\uFE00','Hacek':'\u02C7','hairsp':'\u200A','half':'\xBD','hamilt':'\u210B','HARDcy':'\u042A','hardcy':'\u044A','harrcir':'\u2948','harr':'\u2194','hArr':'\u21D4','harrw':'\u21AD','Hat':'^','hbar':'\u210F','Hcirc':'\u0124','hcirc':'\u0125','hearts':'\u2665','heartsuit':'\u2665','hellip':'\u2026','hercon':'\u22B9','hfr':'\uD835\uDD25','Hfr':'\u210C','HilbertSpace':'\u210B','hksearow':'\u2925','hkswarow':'\u2926','hoarr':'\u21FF','homtht':'\u223B','hookleftarrow':'\u21A9','hookrightarrow':'\u21AA','hopf':'\uD835\uDD59','Hopf':'\u210D','horbar':'\u2015','HorizontalLine':'\u2500','hscr':'\uD835\uDCBD','Hscr':'\u210B','hslash':'\u210F','Hstrok':'\u0126','hstrok':'\u0127','HumpDownHump':'\u224E','HumpEqual':'\u224F','hybull':'\u2043','hyphen':'\u2010','Iacute':'\xCD','iacute':'\xED','ic':'\u2063','Icirc':'\xCE','icirc':'\xEE','Icy':'\u0418','icy':'\u0438','Idot':'\u0130','IEcy':'\u0415','iecy':'\u0435','iexcl':'\xA1','iff':'\u21D4','ifr':'\uD835\uDD26','Ifr':'\u2111','Igrave':'\xCC','igrave':'\xEC','ii':'\u2148','iiiint':'\u2A0C','iiint':'\u222D','iinfin':'\u29DC','iiota':'\u2129','IJlig':'\u0132','ijlig':'\u0133','Imacr':'\u012A','imacr':'\u012B','image':'\u2111','ImaginaryI':'\u2148','imagline':'\u2110','imagpart':'\u2111','imath':'\u0131','Im':'\u2111','imof':'\u22B7','imped':'\u01B5','Implies':'\u21D2','incare':'\u2105','in':'\u2208','infin':'\u221E','infintie':'\u29DD','inodot':'\u0131','intcal':'\u22BA','int':'\u222B','Int':'\u222C','integers':'\u2124','Integral':'\u222B','intercal':'\u22BA','Intersection':'\u22C2','intlarhk':'\u2A17','intprod':'\u2A3C','InvisibleComma':'\u2063','InvisibleTimes':'\u2062','IOcy':'\u0401','iocy':'\u0451','Iogon':'\u012E','iogon':'\u012F','Iopf':'\uD835\uDD40','iopf':'\uD835\uDD5A','Iota':'\u0399','iota':'\u03B9','iprod':'\u2A3C','iquest':'\xBF','iscr':'\uD835\uDCBE','Iscr':'\u2110','isin':'\u2208','isindot':'\u22F5','isinE':'\u22F9','isins':'\u22F4','isinsv':'\u22F3','isinv':'\u2208','it':'\u2062','Itilde':'\u0128','itilde':'\u0129','Iukcy':'\u0406','iukcy':'\u0456','Iuml':'\xCF','iuml':'\xEF','Jcirc':'\u0134','jcirc':'\u0135','Jcy':'\u0419','jcy':'\u0439','Jfr':'\uD835\uDD0D','jfr':'\uD835\uDD27','jmath':'\u0237','Jopf':'\uD835\uDD41','jopf':'\uD835\uDD5B','Jscr':'\uD835\uDCA5','jscr':'\uD835\uDCBF','Jsercy':'\u0408','jsercy':'\u0458','Jukcy':'\u0404','jukcy':'\u0454','Kappa':'\u039A','kappa':'\u03BA','kappav':'\u03F0','Kcedil':'\u0136','kcedil':'\u0137','Kcy':'\u041A','kcy':'\u043A','Kfr':'\uD835\uDD0E','kfr':'\uD835\uDD28','kgreen':'\u0138','KHcy':'\u0425','khcy':'\u0445','KJcy':'\u040C','kjcy':'\u045C','Kopf':'\uD835\uDD42','kopf':'\uD835\uDD5C','Kscr':'\uD835\uDCA6','kscr':'\uD835\uDCC0','lAarr':'\u21DA','Lacute':'\u0139','lacute':'\u013A','laemptyv':'\u29B4','lagran':'\u2112','Lambda':'\u039B','lambda':'\u03BB','lang':'\u27E8','Lang':'\u27EA','langd':'\u2991','langle':'\u27E8','lap':'\u2A85','Laplacetrf':'\u2112','laquo':'\xAB','larrb':'\u21E4','larrbfs':'\u291F','larr':'\u2190','Larr':'\u219E','lArr':'\u21D0','larrfs':'\u291D','larrhk':'\u21A9','larrlp':'\u21AB','larrpl':'\u2939','larrsim':'\u2973','larrtl':'\u21A2','latail':'\u2919','lAtail':'\u291B','lat':'\u2AAB','late':'\u2AAD','lates':'\u2AAD\uFE00','lbarr':'\u290C','lBarr':'\u290E','lbbrk':'\u2772','lbrace':'{','lbrack':'[','lbrke':'\u298B','lbrksld':'\u298F','lbrkslu':'\u298D','Lcaron':'\u013D','lcaron':'\u013E','Lcedil':'\u013B','lcedil':'\u013C','lceil':'\u2308','lcub':'{','Lcy':'\u041B','lcy':'\u043B','ldca':'\u2936','ldquo':'\u201C','ldquor':'\u201E','ldrdhar':'\u2967','ldrushar':'\u294B','ldsh':'\u21B2','le':'\u2264','lE':'\u2266','LeftAngleBracket':'\u27E8','LeftArrowBar':'\u21E4','leftarrow':'\u2190','LeftArrow':'\u2190','Leftarrow':'\u21D0','LeftArrowRightArrow':'\u21C6','leftarrowtail':'\u21A2','LeftCeiling':'\u2308','LeftDoubleBracket':'\u27E6','LeftDownTeeVector':'\u2961','LeftDownVectorBar':'\u2959','LeftDownVector':'\u21C3','LeftFloor':'\u230A','leftharpoondown':'\u21BD','leftharpoonup':'\u21BC','leftleftarrows':'\u21C7','leftrightarrow':'\u2194','LeftRightArrow':'\u2194','Leftrightarrow':'\u21D4','leftrightarrows':'\u21C6','leftrightharpoons':'\u21CB','leftrightsquigarrow':'\u21AD','LeftRightVector':'\u294E','LeftTeeArrow':'\u21A4','LeftTee':'\u22A3','LeftTeeVector':'\u295A','leftthreetimes':'\u22CB','LeftTriangleBar':'\u29CF','LeftTriangle':'\u22B2','LeftTriangleEqual':'\u22B4','LeftUpDownVector':'\u2951','LeftUpTeeVector':'\u2960','LeftUpVectorBar':'\u2958','LeftUpVector':'\u21BF','LeftVectorBar':'\u2952','LeftVector':'\u21BC','lEg':'\u2A8B','leg':'\u22DA','leq':'\u2264','leqq':'\u2266','leqslant':'\u2A7D','lescc':'\u2AA8','les':'\u2A7D','lesdot':'\u2A7F','lesdoto':'\u2A81','lesdotor':'\u2A83','lesg':'\u22DA\uFE00','lesges':'\u2A93','lessapprox':'\u2A85','lessdot':'\u22D6','lesseqgtr':'\u22DA','lesseqqgtr':'\u2A8B','LessEqualGreater':'\u22DA','LessFullEqual':'\u2266','LessGreater':'\u2276','lessgtr':'\u2276','LessLess':'\u2AA1','lesssim':'\u2272','LessSlantEqual':'\u2A7D','LessTilde':'\u2272','lfisht':'\u297C','lfloor':'\u230A','Lfr':'\uD835\uDD0F','lfr':'\uD835\uDD29','lg':'\u2276','lgE':'\u2A91','lHar':'\u2962','lhard':'\u21BD','lharu':'\u21BC','lharul':'\u296A','lhblk':'\u2584','LJcy':'\u0409','ljcy':'\u0459','llarr':'\u21C7','ll':'\u226A','Ll':'\u22D8','llcorner':'\u231E','Lleftarrow':'\u21DA','llhard':'\u296B','lltri':'\u25FA','Lmidot':'\u013F','lmidot':'\u0140','lmoustache':'\u23B0','lmoust':'\u23B0','lnap':'\u2A89','lnapprox':'\u2A89','lne':'\u2A87','lnE':'\u2268','lneq':'\u2A87','lneqq':'\u2268','lnsim':'\u22E6','loang':'\u27EC','loarr':'\u21FD','lobrk':'\u27E6','longleftarrow':'\u27F5','LongLeftArrow':'\u27F5','Longleftarrow':'\u27F8','longleftrightarrow':'\u27F7','LongLeftRightArrow':'\u27F7','Longleftrightarrow':'\u27FA','longmapsto':'\u27FC','longrightarrow':'\u27F6','LongRightArrow':'\u27F6','Longrightarrow':'\u27F9','looparrowleft':'\u21AB','looparrowright':'\u21AC','lopar':'\u2985','Lopf':'\uD835\uDD43','lopf':'\uD835\uDD5D','loplus':'\u2A2D','lotimes':'\u2A34','lowast':'\u2217','lowbar':'_','LowerLeftArrow':'\u2199','LowerRightArrow':'\u2198','loz':'\u25CA','lozenge':'\u25CA','lozf':'\u29EB','lpar':'(','lparlt':'\u2993','lrarr':'\u21C6','lrcorner':'\u231F','lrhar':'\u21CB','lrhard':'\u296D','lrm':'\u200E','lrtri':'\u22BF','lsaquo':'\u2039','lscr':'\uD835\uDCC1','Lscr':'\u2112','lsh':'\u21B0','Lsh':'\u21B0','lsim':'\u2272','lsime':'\u2A8D','lsimg':'\u2A8F','lsqb':'[','lsquo':'\u2018','lsquor':'\u201A','Lstrok':'\u0141','lstrok':'\u0142','ltcc':'\u2AA6','ltcir':'\u2A79','lt':'<','LT':'<','Lt':'\u226A','ltdot':'\u22D6','lthree':'\u22CB','ltimes':'\u22C9','ltlarr':'\u2976','ltquest':'\u2A7B','ltri':'\u25C3','ltrie':'\u22B4','ltrif':'\u25C2','ltrPar':'\u2996','lurdshar':'\u294A','luruhar':'\u2966','lvertneqq':'\u2268\uFE00','lvnE':'\u2268\uFE00','macr':'\xAF','male':'\u2642','malt':'\u2720','maltese':'\u2720','Map':'\u2905','map':'\u21A6','mapsto':'\u21A6','mapstodown':'\u21A7','mapstoleft':'\u21A4','mapstoup':'\u21A5','marker':'\u25AE','mcomma':'\u2A29','Mcy':'\u041C','mcy':'\u043C','mdash':'\u2014','mDDot':'\u223A','measuredangle':'\u2221','MediumSpace':'\u205F','Mellintrf':'\u2133','Mfr':'\uD835\uDD10','mfr':'\uD835\uDD2A','mho':'\u2127','micro':'\xB5','midast':'*','midcir':'\u2AF0','mid':'\u2223','middot':'\xB7','minusb':'\u229F','minus':'\u2212','minusd':'\u2238','minusdu':'\u2A2A','MinusPlus':'\u2213','mlcp':'\u2ADB','mldr':'\u2026','mnplus':'\u2213','models':'\u22A7','Mopf':'\uD835\uDD44','mopf':'\uD835\uDD5E','mp':'\u2213','mscr':'\uD835\uDCC2','Mscr':'\u2133','mstpos':'\u223E','Mu':'\u039C','mu':'\u03BC','multimap':'\u22B8','mumap':'\u22B8','nabla':'\u2207','Nacute':'\u0143','nacute':'\u0144','nang':'\u2220\u20D2','nap':'\u2249','napE':'\u2A70\u0338','napid':'\u224B\u0338','napos':'\u0149','napprox':'\u2249','natural':'\u266E','naturals':'\u2115','natur':'\u266E','nbsp':'\xA0','nbump':'\u224E\u0338','nbumpe':'\u224F\u0338','ncap':'\u2A43','Ncaron':'\u0147','ncaron':'\u0148','Ncedil':'\u0145','ncedil':'\u0146','ncong':'\u2247','ncongdot':'\u2A6D\u0338','ncup':'\u2A42','Ncy':'\u041D','ncy':'\u043D','ndash':'\u2013','nearhk':'\u2924','nearr':'\u2197','neArr':'\u21D7','nearrow':'\u2197','ne':'\u2260','nedot':'\u2250\u0338','NegativeMediumSpace':'\u200B','NegativeThickSpace':'\u200B','NegativeThinSpace':'\u200B','NegativeVeryThinSpace':'\u200B','nequiv':'\u2262','nesear':'\u2928','nesim':'\u2242\u0338','NestedGreaterGreater':'\u226B','NestedLessLess':'\u226A','NewLine':'\n','nexist':'\u2204','nexists':'\u2204','Nfr':'\uD835\uDD11','nfr':'\uD835\uDD2B','ngE':'\u2267\u0338','nge':'\u2271','ngeq':'\u2271','ngeqq':'\u2267\u0338','ngeqslant':'\u2A7E\u0338','nges':'\u2A7E\u0338','nGg':'\u22D9\u0338','ngsim':'\u2275','nGt':'\u226B\u20D2','ngt':'\u226F','ngtr':'\u226F','nGtv':'\u226B\u0338','nharr':'\u21AE','nhArr':'\u21CE','nhpar':'\u2AF2','ni':'\u220B','nis':'\u22FC','nisd':'\u22FA','niv':'\u220B','NJcy':'\u040A','njcy':'\u045A','nlarr':'\u219A','nlArr':'\u21CD','nldr':'\u2025','nlE':'\u2266\u0338','nle':'\u2270','nleftarrow':'\u219A','nLeftarrow':'\u21CD','nleftrightarrow':'\u21AE','nLeftrightarrow':'\u21CE','nleq':'\u2270','nleqq':'\u2266\u0338','nleqslant':'\u2A7D\u0338','nles':'\u2A7D\u0338','nless':'\u226E','nLl':'\u22D8\u0338','nlsim':'\u2274','nLt':'\u226A\u20D2','nlt':'\u226E','nltri':'\u22EA','nltrie':'\u22EC','nLtv':'\u226A\u0338','nmid':'\u2224','NoBreak':'\u2060','NonBreakingSpace':'\xA0','nopf':'\uD835\uDD5F','Nopf':'\u2115','Not':'\u2AEC','not':'\xAC','NotCongruent':'\u2262','NotCupCap':'\u226D','NotDoubleVerticalBar':'\u2226','NotElement':'\u2209','NotEqual':'\u2260','NotEqualTilde':'\u2242\u0338','NotExists':'\u2204','NotGreater':'\u226F','NotGreaterEqual':'\u2271','NotGreaterFullEqual':'\u2267\u0338','NotGreaterGreater':'\u226B\u0338','NotGreaterLess':'\u2279','NotGreaterSlantEqual':'\u2A7E\u0338','NotGreaterTilde':'\u2275','NotHumpDownHump':'\u224E\u0338','NotHumpEqual':'\u224F\u0338','notin':'\u2209','notindot':'\u22F5\u0338','notinE':'\u22F9\u0338','notinva':'\u2209','notinvb':'\u22F7','notinvc':'\u22F6','NotLeftTriangleBar':'\u29CF\u0338','NotLeftTriangle':'\u22EA','NotLeftTriangleEqual':'\u22EC','NotLess':'\u226E','NotLessEqual':'\u2270','NotLessGreater':'\u2278','NotLessLess':'\u226A\u0338','NotLessSlantEqual':'\u2A7D\u0338','NotLessTilde':'\u2274','NotNestedGreaterGreater':'\u2AA2\u0338','NotNestedLessLess':'\u2AA1\u0338','notni':'\u220C','notniva':'\u220C','notnivb':'\u22FE','notnivc':'\u22FD','NotPrecedes':'\u2280','NotPrecedesEqual':'\u2AAF\u0338','NotPrecedesSlantEqual':'\u22E0','NotReverseElement':'\u220C','NotRightTriangleBar':'\u29D0\u0338','NotRightTriangle':'\u22EB','NotRightTriangleEqual':'\u22ED','NotSquareSubset':'\u228F\u0338','NotSquareSubsetEqual':'\u22E2','NotSquareSuperset':'\u2290\u0338','NotSquareSupersetEqual':'\u22E3','NotSubset':'\u2282\u20D2','NotSubsetEqual':'\u2288','NotSucceeds':'\u2281','NotSucceedsEqual':'\u2AB0\u0338','NotSucceedsSlantEqual':'\u22E1','NotSucceedsTilde':'\u227F\u0338','NotSuperset':'\u2283\u20D2','NotSupersetEqual':'\u2289','NotTilde':'\u2241','NotTildeEqual':'\u2244','NotTildeFullEqual':'\u2247','NotTildeTilde':'\u2249','NotVerticalBar':'\u2224','nparallel':'\u2226','npar':'\u2226','nparsl':'\u2AFD\u20E5','npart':'\u2202\u0338','npolint':'\u2A14','npr':'\u2280','nprcue':'\u22E0','nprec':'\u2280','npreceq':'\u2AAF\u0338','npre':'\u2AAF\u0338','nrarrc':'\u2933\u0338','nrarr':'\u219B','nrArr':'\u21CF','nrarrw':'\u219D\u0338','nrightarrow':'\u219B','nRightarrow':'\u21CF','nrtri':'\u22EB','nrtrie':'\u22ED','nsc':'\u2281','nsccue':'\u22E1','nsce':'\u2AB0\u0338','Nscr':'\uD835\uDCA9','nscr':'\uD835\uDCC3','nshortmid':'\u2224','nshortparallel':'\u2226','nsim':'\u2241','nsime':'\u2244','nsimeq':'\u2244','nsmid':'\u2224','nspar':'\u2226','nsqsube':'\u22E2','nsqsupe':'\u22E3','nsub':'\u2284','nsubE':'\u2AC5\u0338','nsube':'\u2288','nsubset':'\u2282\u20D2','nsubseteq':'\u2288','nsubseteqq':'\u2AC5\u0338','nsucc':'\u2281','nsucceq':'\u2AB0\u0338','nsup':'\u2285','nsupE':'\u2AC6\u0338','nsupe':'\u2289','nsupset':'\u2283\u20D2','nsupseteq':'\u2289','nsupseteqq':'\u2AC6\u0338','ntgl':'\u2279','Ntilde':'\xD1','ntilde':'\xF1','ntlg':'\u2278','ntriangleleft':'\u22EA','ntrianglelefteq':'\u22EC','ntriangleright':'\u22EB','ntrianglerighteq':'\u22ED','Nu':'\u039D','nu':'\u03BD','num':'#','numero':'\u2116','numsp':'\u2007','nvap':'\u224D\u20D2','nvdash':'\u22AC','nvDash':'\u22AD','nVdash':'\u22AE','nVDash':'\u22AF','nvge':'\u2265\u20D2','nvgt':'>\u20D2','nvHarr':'\u2904','nvinfin':'\u29DE','nvlArr':'\u2902','nvle':'\u2264\u20D2','nvlt':'<\u20D2','nvltrie':'\u22B4\u20D2','nvrArr':'\u2903','nvrtrie':'\u22B5\u20D2','nvsim':'\u223C\u20D2','nwarhk':'\u2923','nwarr':'\u2196','nwArr':'\u21D6','nwarrow':'\u2196','nwnear':'\u2927','Oacute':'\xD3','oacute':'\xF3','oast':'\u229B','Ocirc':'\xD4','ocirc':'\xF4','ocir':'\u229A','Ocy':'\u041E','ocy':'\u043E','odash':'\u229D','Odblac':'\u0150','odblac':'\u0151','odiv':'\u2A38','odot':'\u2299','odsold':'\u29BC','OElig':'\u0152','oelig':'\u0153','ofcir':'\u29BF','Ofr':'\uD835\uDD12','ofr':'\uD835\uDD2C','ogon':'\u02DB','Ograve':'\xD2','ograve':'\xF2','ogt':'\u29C1','ohbar':'\u29B5','ohm':'\u03A9','oint':'\u222E','olarr':'\u21BA','olcir':'\u29BE','olcross':'\u29BB','oline':'\u203E','olt':'\u29C0','Omacr':'\u014C','omacr':'\u014D','Omega':'\u03A9','omega':'\u03C9','Omicron':'\u039F','omicron':'\u03BF','omid':'\u29B6','ominus':'\u2296','Oopf':'\uD835\uDD46','oopf':'\uD835\uDD60','opar':'\u29B7','OpenCurlyDoubleQuote':'\u201C','OpenCurlyQuote':'\u2018','operp':'\u29B9','oplus':'\u2295','orarr':'\u21BB','Or':'\u2A54','or':'\u2228','ord':'\u2A5D','order':'\u2134','orderof':'\u2134','ordf':'\xAA','ordm':'\xBA','origof':'\u22B6','oror':'\u2A56','orslope':'\u2A57','orv':'\u2A5B','oS':'\u24C8','Oscr':'\uD835\uDCAA','oscr':'\u2134','Oslash':'\xD8','oslash':'\xF8','osol':'\u2298','Otilde':'\xD5','otilde':'\xF5','otimesas':'\u2A36','Otimes':'\u2A37','otimes':'\u2297','Ouml':'\xD6','ouml':'\xF6','ovbar':'\u233D','OverBar':'\u203E','OverBrace':'\u23DE','OverBracket':'\u23B4','OverParenthesis':'\u23DC','para':'\xB6','parallel':'\u2225','par':'\u2225','parsim':'\u2AF3','parsl':'\u2AFD','part':'\u2202','PartialD':'\u2202','Pcy':'\u041F','pcy':'\u043F','percnt':'%','period':'.','permil':'\u2030','perp':'\u22A5','pertenk':'\u2031','Pfr':'\uD835\uDD13','pfr':'\uD835\uDD2D','Phi':'\u03A6','phi':'\u03C6','phiv':'\u03D5','phmmat':'\u2133','phone':'\u260E','Pi':'\u03A0','pi':'\u03C0','pitchfork':'\u22D4','piv':'\u03D6','planck':'\u210F','planckh':'\u210E','plankv':'\u210F','plusacir':'\u2A23','plusb':'\u229E','pluscir':'\u2A22','plus':'+','plusdo':'\u2214','plusdu':'\u2A25','pluse':'\u2A72','PlusMinus':'\xB1','plusmn':'\xB1','plussim':'\u2A26','plustwo':'\u2A27','pm':'\xB1','Poincareplane':'\u210C','pointint':'\u2A15','popf':'\uD835\uDD61','Popf':'\u2119','pound':'\xA3','prap':'\u2AB7','Pr':'\u2ABB','pr':'\u227A','prcue':'\u227C','precapprox':'\u2AB7','prec':'\u227A','preccurlyeq':'\u227C','Precedes':'\u227A','PrecedesEqual':'\u2AAF','PrecedesSlantEqual':'\u227C','PrecedesTilde':'\u227E','preceq':'\u2AAF','precnapprox':'\u2AB9','precneqq':'\u2AB5','precnsim':'\u22E8','pre':'\u2AAF','prE':'\u2AB3','precsim':'\u227E','prime':'\u2032','Prime':'\u2033','primes':'\u2119','prnap':'\u2AB9','prnE':'\u2AB5','prnsim':'\u22E8','prod':'\u220F','Product':'\u220F','profalar':'\u232E','profline':'\u2312','profsurf':'\u2313','prop':'\u221D','Proportional':'\u221D','Proportion':'\u2237','propto':'\u221D','prsim':'\u227E','prurel':'\u22B0','Pscr':'\uD835\uDCAB','pscr':'\uD835\uDCC5','Psi':'\u03A8','psi':'\u03C8','puncsp':'\u2008','Qfr':'\uD835\uDD14','qfr':'\uD835\uDD2E','qint':'\u2A0C','qopf':'\uD835\uDD62','Qopf':'\u211A','qprime':'\u2057','Qscr':'\uD835\uDCAC','qscr':'\uD835\uDCC6','quaternions':'\u210D','quatint':'\u2A16','quest':'?','questeq':'\u225F','quot':'"','QUOT':'"','rAarr':'\u21DB','race':'\u223D\u0331','Racute':'\u0154','racute':'\u0155','radic':'\u221A','raemptyv':'\u29B3','rang':'\u27E9','Rang':'\u27EB','rangd':'\u2992','range':'\u29A5','rangle':'\u27E9','raquo':'\xBB','rarrap':'\u2975','rarrb':'\u21E5','rarrbfs':'\u2920','rarrc':'\u2933','rarr':'\u2192','Rarr':'\u21A0','rArr':'\u21D2','rarrfs':'\u291E','rarrhk':'\u21AA','rarrlp':'\u21AC','rarrpl':'\u2945','rarrsim':'\u2974','Rarrtl':'\u2916','rarrtl':'\u21A3','rarrw':'\u219D','ratail':'\u291A','rAtail':'\u291C','ratio':'\u2236','rationals':'\u211A','rbarr':'\u290D','rBarr':'\u290F','RBarr':'\u2910','rbbrk':'\u2773','rbrace':'}','rbrack':']','rbrke':'\u298C','rbrksld':'\u298E','rbrkslu':'\u2990','Rcaron':'\u0158','rcaron':'\u0159','Rcedil':'\u0156','rcedil':'\u0157','rceil':'\u2309','rcub':'}','Rcy':'\u0420','rcy':'\u0440','rdca':'\u2937','rdldhar':'\u2969','rdquo':'\u201D','rdquor':'\u201D','rdsh':'\u21B3','real':'\u211C','realine':'\u211B','realpart':'\u211C','reals':'\u211D','Re':'\u211C','rect':'\u25AD','reg':'\xAE','REG':'\xAE','ReverseElement':'\u220B','ReverseEquilibrium':'\u21CB','ReverseUpEquilibrium':'\u296F','rfisht':'\u297D','rfloor':'\u230B','rfr':'\uD835\uDD2F','Rfr':'\u211C','rHar':'\u2964','rhard':'\u21C1','rharu':'\u21C0','rharul':'\u296C','Rho':'\u03A1','rho':'\u03C1','rhov':'\u03F1','RightAngleBracket':'\u27E9','RightArrowBar':'\u21E5','rightarrow':'\u2192','RightArrow':'\u2192','Rightarrow':'\u21D2','RightArrowLeftArrow':'\u21C4','rightarrowtail':'\u21A3','RightCeiling':'\u2309','RightDoubleBracket':'\u27E7','RightDownTeeVector':'\u295D','RightDownVectorBar':'\u2955','RightDownVector':'\u21C2','RightFloor':'\u230B','rightharpoondown':'\u21C1','rightharpoonup':'\u21C0','rightleftarrows':'\u21C4','rightleftharpoons':'\u21CC','rightrightarrows':'\u21C9','rightsquigarrow':'\u219D','RightTeeArrow':'\u21A6','RightTee':'\u22A2','RightTeeVector':'\u295B','rightthreetimes':'\u22CC','RightTriangleBar':'\u29D0','RightTriangle':'\u22B3','RightTriangleEqual':'\u22B5','RightUpDownVector':'\u294F','RightUpTeeVector':'\u295C','RightUpVectorBar':'\u2954','RightUpVector':'\u21BE','RightVectorBar':'\u2953','RightVector':'\u21C0','ring':'\u02DA','risingdotseq':'\u2253','rlarr':'\u21C4','rlhar':'\u21CC','rlm':'\u200F','rmoustache':'\u23B1','rmoust':'\u23B1','rnmid':'\u2AEE','roang':'\u27ED','roarr':'\u21FE','robrk':'\u27E7','ropar':'\u2986','ropf':'\uD835\uDD63','Ropf':'\u211D','roplus':'\u2A2E','rotimes':'\u2A35','RoundImplies':'\u2970','rpar':')','rpargt':'\u2994','rppolint':'\u2A12','rrarr':'\u21C9','Rrightarrow':'\u21DB','rsaquo':'\u203A','rscr':'\uD835\uDCC7','Rscr':'\u211B','rsh':'\u21B1','Rsh':'\u21B1','rsqb':']','rsquo':'\u2019','rsquor':'\u2019','rthree':'\u22CC','rtimes':'\u22CA','rtri':'\u25B9','rtrie':'\u22B5','rtrif':'\u25B8','rtriltri':'\u29CE','RuleDelayed':'\u29F4','ruluhar':'\u2968','rx':'\u211E','Sacute':'\u015A','sacute':'\u015B','sbquo':'\u201A','scap':'\u2AB8','Scaron':'\u0160','scaron':'\u0161','Sc':'\u2ABC','sc':'\u227B','sccue':'\u227D','sce':'\u2AB0','scE':'\u2AB4','Scedil':'\u015E','scedil':'\u015F','Scirc':'\u015C','scirc':'\u015D','scnap':'\u2ABA','scnE':'\u2AB6','scnsim':'\u22E9','scpolint':'\u2A13','scsim':'\u227F','Scy':'\u0421','scy':'\u0441','sdotb':'\u22A1','sdot':'\u22C5','sdote':'\u2A66','searhk':'\u2925','searr':'\u2198','seArr':'\u21D8','searrow':'\u2198','sect':'\xA7','semi':';','seswar':'\u2929','setminus':'\u2216','setmn':'\u2216','sext':'\u2736','Sfr':'\uD835\uDD16','sfr':'\uD835\uDD30','sfrown':'\u2322','sharp':'\u266F','SHCHcy':'\u0429','shchcy':'\u0449','SHcy':'\u0428','shcy':'\u0448','ShortDownArrow':'\u2193','ShortLeftArrow':'\u2190','shortmid':'\u2223','shortparallel':'\u2225','ShortRightArrow':'\u2192','ShortUpArrow':'\u2191','shy':'\xAD','Sigma':'\u03A3','sigma':'\u03C3','sigmaf':'\u03C2','sigmav':'\u03C2','sim':'\u223C','simdot':'\u2A6A','sime':'\u2243','simeq':'\u2243','simg':'\u2A9E','simgE':'\u2AA0','siml':'\u2A9D','simlE':'\u2A9F','simne':'\u2246','simplus':'\u2A24','simrarr':'\u2972','slarr':'\u2190','SmallCircle':'\u2218','smallsetminus':'\u2216','smashp':'\u2A33','smeparsl':'\u29E4','smid':'\u2223','smile':'\u2323','smt':'\u2AAA','smte':'\u2AAC','smtes':'\u2AAC\uFE00','SOFTcy':'\u042C','softcy':'\u044C','solbar':'\u233F','solb':'\u29C4','sol':'/','Sopf':'\uD835\uDD4A','sopf':'\uD835\uDD64','spades':'\u2660','spadesuit':'\u2660','spar':'\u2225','sqcap':'\u2293','sqcaps':'\u2293\uFE00','sqcup':'\u2294','sqcups':'\u2294\uFE00','Sqrt':'\u221A','sqsub':'\u228F','sqsube':'\u2291','sqsubset':'\u228F','sqsubseteq':'\u2291','sqsup':'\u2290','sqsupe':'\u2292','sqsupset':'\u2290','sqsupseteq':'\u2292','square':'\u25A1','Square':'\u25A1','SquareIntersection':'\u2293','SquareSubset':'\u228F','SquareSubsetEqual':'\u2291','SquareSuperset':'\u2290','SquareSupersetEqual':'\u2292','SquareUnion':'\u2294','squarf':'\u25AA','squ':'\u25A1','squf':'\u25AA','srarr':'\u2192','Sscr':'\uD835\uDCAE','sscr':'\uD835\uDCC8','ssetmn':'\u2216','ssmile':'\u2323','sstarf':'\u22C6','Star':'\u22C6','star':'\u2606','starf':'\u2605','straightepsilon':'\u03F5','straightphi':'\u03D5','strns':'\xAF','sub':'\u2282','Sub':'\u22D0','subdot':'\u2ABD','subE':'\u2AC5','sube':'\u2286','subedot':'\u2AC3','submult':'\u2AC1','subnE':'\u2ACB','subne':'\u228A','subplus':'\u2ABF','subrarr':'\u2979','subset':'\u2282','Subset':'\u22D0','subseteq':'\u2286','subseteqq':'\u2AC5','SubsetEqual':'\u2286','subsetneq':'\u228A','subsetneqq':'\u2ACB','subsim':'\u2AC7','subsub':'\u2AD5','subsup':'\u2AD3','succapprox':'\u2AB8','succ':'\u227B','succcurlyeq':'\u227D','Succeeds':'\u227B','SucceedsEqual':'\u2AB0','SucceedsSlantEqual':'\u227D','SucceedsTilde':'\u227F','succeq':'\u2AB0','succnapprox':'\u2ABA','succneqq':'\u2AB6','succnsim':'\u22E9','succsim':'\u227F','SuchThat':'\u220B','sum':'\u2211','Sum':'\u2211','sung':'\u266A','sup1':'\xB9','sup2':'\xB2','sup3':'\xB3','sup':'\u2283','Sup':'\u22D1','supdot':'\u2ABE','supdsub':'\u2AD8','supE':'\u2AC6','supe':'\u2287','supedot':'\u2AC4','Superset':'\u2283','SupersetEqual':'\u2287','suphsol':'\u27C9','suphsub':'\u2AD7','suplarr':'\u297B','supmult':'\u2AC2','supnE':'\u2ACC','supne':'\u228B','supplus':'\u2AC0','supset':'\u2283','Supset':'\u22D1','supseteq':'\u2287','supseteqq':'\u2AC6','supsetneq':'\u228B','supsetneqq':'\u2ACC','supsim':'\u2AC8','supsub':'\u2AD4','supsup':'\u2AD6','swarhk':'\u2926','swarr':'\u2199','swArr':'\u21D9','swarrow':'\u2199','swnwar':'\u292A','szlig':'\xDF','Tab':'\t','target':'\u2316','Tau':'\u03A4','tau':'\u03C4','tbrk':'\u23B4','Tcaron':'\u0164','tcaron':'\u0165','Tcedil':'\u0162','tcedil':'\u0163','Tcy':'\u0422','tcy':'\u0442','tdot':'\u20DB','telrec':'\u2315','Tfr':'\uD835\uDD17','tfr':'\uD835\uDD31','there4':'\u2234','therefore':'\u2234','Therefore':'\u2234','Theta':'\u0398','theta':'\u03B8','thetasym':'\u03D1','thetav':'\u03D1','thickapprox':'\u2248','thicksim':'\u223C','ThickSpace':'\u205F\u200A','ThinSpace':'\u2009','thinsp':'\u2009','thkap':'\u2248','thksim':'\u223C','THORN':'\xDE','thorn':'\xFE','tilde':'\u02DC','Tilde':'\u223C','TildeEqual':'\u2243','TildeFullEqual':'\u2245','TildeTilde':'\u2248','timesbar':'\u2A31','timesb':'\u22A0','times':'\xD7','timesd':'\u2A30','tint':'\u222D','toea':'\u2928','topbot':'\u2336','topcir':'\u2AF1','top':'\u22A4','Topf':'\uD835\uDD4B','topf':'\uD835\uDD65','topfork':'\u2ADA','tosa':'\u2929','tprime':'\u2034','trade':'\u2122','TRADE':'\u2122','triangle':'\u25B5','triangledown':'\u25BF','triangleleft':'\u25C3','trianglelefteq':'\u22B4','triangleq':'\u225C','triangleright':'\u25B9','trianglerighteq':'\u22B5','tridot':'\u25EC','trie':'\u225C','triminus':'\u2A3A','TripleDot':'\u20DB','triplus':'\u2A39','trisb':'\u29CD','tritime':'\u2A3B','trpezium':'\u23E2','Tscr':'\uD835\uDCAF','tscr':'\uD835\uDCC9','TScy':'\u0426','tscy':'\u0446','TSHcy':'\u040B','tshcy':'\u045B','Tstrok':'\u0166','tstrok':'\u0167','twixt':'\u226C','twoheadleftarrow':'\u219E','twoheadrightarrow':'\u21A0','Uacute':'\xDA','uacute':'\xFA','uarr':'\u2191','Uarr':'\u219F','uArr':'\u21D1','Uarrocir':'\u2949','Ubrcy':'\u040E','ubrcy':'\u045E','Ubreve':'\u016C','ubreve':'\u016D','Ucirc':'\xDB','ucirc':'\xFB','Ucy':'\u0423','ucy':'\u0443','udarr':'\u21C5','Udblac':'\u0170','udblac':'\u0171','udhar':'\u296E','ufisht':'\u297E','Ufr':'\uD835\uDD18','ufr':'\uD835\uDD32','Ugrave':'\xD9','ugrave':'\xF9','uHar':'\u2963','uharl':'\u21BF','uharr':'\u21BE','uhblk':'\u2580','ulcorn':'\u231C','ulcorner':'\u231C','ulcrop':'\u230F','ultri':'\u25F8','Umacr':'\u016A','umacr':'\u016B','uml':'\xA8','UnderBar':'_','UnderBrace':'\u23DF','UnderBracket':'\u23B5','UnderParenthesis':'\u23DD','Union':'\u22C3','UnionPlus':'\u228E','Uogon':'\u0172','uogon':'\u0173','Uopf':'\uD835\uDD4C','uopf':'\uD835\uDD66','UpArrowBar':'\u2912','uparrow':'\u2191','UpArrow':'\u2191','Uparrow':'\u21D1','UpArrowDownArrow':'\u21C5','updownarrow':'\u2195','UpDownArrow':'\u2195','Updownarrow':'\u21D5','UpEquilibrium':'\u296E','upharpoonleft':'\u21BF','upharpoonright':'\u21BE','uplus':'\u228E','UpperLeftArrow':'\u2196','UpperRightArrow':'\u2197','upsi':'\u03C5','Upsi':'\u03D2','upsih':'\u03D2','Upsilon':'\u03A5','upsilon':'\u03C5','UpTeeArrow':'\u21A5','UpTee':'\u22A5','upuparrows':'\u21C8','urcorn':'\u231D','urcorner':'\u231D','urcrop':'\u230E','Uring':'\u016E','uring':'\u016F','urtri':'\u25F9','Uscr':'\uD835\uDCB0','uscr':'\uD835\uDCCA','utdot':'\u22F0','Utilde':'\u0168','utilde':'\u0169','utri':'\u25B5','utrif':'\u25B4','uuarr':'\u21C8','Uuml':'\xDC','uuml':'\xFC','uwangle':'\u29A7','vangrt':'\u299C','varepsilon':'\u03F5','varkappa':'\u03F0','varnothing':'\u2205','varphi':'\u03D5','varpi':'\u03D6','varpropto':'\u221D','varr':'\u2195','vArr':'\u21D5','varrho':'\u03F1','varsigma':'\u03C2','varsubsetneq':'\u228A\uFE00','varsubsetneqq':'\u2ACB\uFE00','varsupsetneq':'\u228B\uFE00','varsupsetneqq':'\u2ACC\uFE00','vartheta':'\u03D1','vartriangleleft':'\u22B2','vartriangleright':'\u22B3','vBar':'\u2AE8','Vbar':'\u2AEB','vBarv':'\u2AE9','Vcy':'\u0412','vcy':'\u0432','vdash':'\u22A2','vDash':'\u22A8','Vdash':'\u22A9','VDash':'\u22AB','Vdashl':'\u2AE6','veebar':'\u22BB','vee':'\u2228','Vee':'\u22C1','veeeq':'\u225A','vellip':'\u22EE','verbar':'|','Verbar':'\u2016','vert':'|','Vert':'\u2016','VerticalBar':'\u2223','VerticalLine':'|','VerticalSeparator':'\u2758','VerticalTilde':'\u2240','VeryThinSpace':'\u200A','Vfr':'\uD835\uDD19','vfr':'\uD835\uDD33','vltri':'\u22B2','vnsub':'\u2282\u20D2','vnsup':'\u2283\u20D2','Vopf':'\uD835\uDD4D','vopf':'\uD835\uDD67','vprop':'\u221D','vrtri':'\u22B3','Vscr':'\uD835\uDCB1','vscr':'\uD835\uDCCB','vsubnE':'\u2ACB\uFE00','vsubne':'\u228A\uFE00','vsupnE':'\u2ACC\uFE00','vsupne':'\u228B\uFE00','Vvdash':'\u22AA','vzigzag':'\u299A','Wcirc':'\u0174','wcirc':'\u0175','wedbar':'\u2A5F','wedge':'\u2227','Wedge':'\u22C0','wedgeq':'\u2259','weierp':'\u2118','Wfr':'\uD835\uDD1A','wfr':'\uD835\uDD34','Wopf':'\uD835\uDD4E','wopf':'\uD835\uDD68','wp':'\u2118','wr':'\u2240','wreath':'\u2240','Wscr':'\uD835\uDCB2','wscr':'\uD835\uDCCC','xcap':'\u22C2','xcirc':'\u25EF','xcup':'\u22C3','xdtri':'\u25BD','Xfr':'\uD835\uDD1B','xfr':'\uD835\uDD35','xharr':'\u27F7','xhArr':'\u27FA','Xi':'\u039E','xi':'\u03BE','xlarr':'\u27F5','xlArr':'\u27F8','xmap':'\u27FC','xnis':'\u22FB','xodot':'\u2A00','Xopf':'\uD835\uDD4F','xopf':'\uD835\uDD69','xoplus':'\u2A01','xotime':'\u2A02','xrarr':'\u27F6','xrArr':'\u27F9','Xscr':'\uD835\uDCB3','xscr':'\uD835\uDCCD','xsqcup':'\u2A06','xuplus':'\u2A04','xutri':'\u25B3','xvee':'\u22C1','xwedge':'\u22C0','Yacute':'\xDD','yacute':'\xFD','YAcy':'\u042F','yacy':'\u044F','Ycirc':'\u0176','ycirc':'\u0177','Ycy':'\u042B','ycy':'\u044B','yen':'\xA5','Yfr':'\uD835\uDD1C','yfr':'\uD835\uDD36','YIcy':'\u0407','yicy':'\u0457','Yopf':'\uD835\uDD50','yopf':'\uD835\uDD6A','Yscr':'\uD835\uDCB4','yscr':'\uD835\uDCCE','YUcy':'\u042E','yucy':'\u044E','yuml':'\xFF','Yuml':'\u0178','Zacute':'\u0179','zacute':'\u017A','Zcaron':'\u017D','zcaron':'\u017E','Zcy':'\u0417','zcy':'\u0437','Zdot':'\u017B','zdot':'\u017C','zeetrf':'\u2128','ZeroWidthSpace':'\u200B','Zeta':'\u0396','zeta':'\u03B6','zfr':'\uD835\uDD37','Zfr':'\u2128','ZHcy':'\u0416','zhcy':'\u0436','zigrarr':'\u21DD','zopf':'\uD835\uDD6B','Zopf':'\u2124','Zscr':'\uD835\uDCB5','zscr':'\uD835\uDCCF','zwj':'\u200D','zwnj':'\u200C'};
var decodeMapLegacy = {'Aacute':'\xC1','aacute':'\xE1','Acirc':'\xC2','acirc':'\xE2','acute':'\xB4','AElig':'\xC6','aelig':'\xE6','Agrave':'\xC0','agrave':'\xE0','amp':'&','AMP':'&','Aring':'\xC5','aring':'\xE5','Atilde':'\xC3','atilde':'\xE3','Auml':'\xC4','auml':'\xE4','brvbar':'\xA6','Ccedil':'\xC7','ccedil':'\xE7','cedil':'\xB8','cent':'\xA2','copy':'\xA9','COPY':'\xA9','curren':'\xA4','deg':'\xB0','divide':'\xF7','Eacute':'\xC9','eacute':'\xE9','Ecirc':'\xCA','ecirc':'\xEA','Egrave':'\xC8','egrave':'\xE8','ETH':'\xD0','eth':'\xF0','Euml':'\xCB','euml':'\xEB','frac12':'\xBD','frac14':'\xBC','frac34':'\xBE','gt':'>','GT':'>','Iacute':'\xCD','iacute':'\xED','Icirc':'\xCE','icirc':'\xEE','iexcl':'\xA1','Igrave':'\xCC','igrave':'\xEC','iquest':'\xBF','Iuml':'\xCF','iuml':'\xEF','laquo':'\xAB','lt':'<','LT':'<','macr':'\xAF','micro':'\xB5','middot':'\xB7','nbsp':'\xA0','not':'\xAC','Ntilde':'\xD1','ntilde':'\xF1','Oacute':'\xD3','oacute':'\xF3','Ocirc':'\xD4','ocirc':'\xF4','Ograve':'\xD2','ograve':'\xF2','ordf':'\xAA','ordm':'\xBA','Oslash':'\xD8','oslash':'\xF8','Otilde':'\xD5','otilde':'\xF5','Ouml':'\xD6','ouml':'\xF6','para':'\xB6','plusmn':'\xB1','pound':'\xA3','quot':'"','QUOT':'"','raquo':'\xBB','reg':'\xAE','REG':'\xAE','sect':'\xA7','shy':'\xAD','sup1':'\xB9','sup2':'\xB2','sup3':'\xB3','szlig':'\xDF','THORN':'\xDE','thorn':'\xFE','times':'\xD7','Uacute':'\xDA','uacute':'\xFA','Ucirc':'\xDB','ucirc':'\xFB','Ugrave':'\xD9','ugrave':'\xF9','uml':'\xA8','Uuml':'\xDC','uuml':'\xFC','Yacute':'\xDD','yacute':'\xFD','yen':'\xA5','yuml':'\xFF'};
var decodeMapNumeric = {'0':'\uFFFD','128':'\u20AC','130':'\u201A','131':'\u0192','132':'\u201E','133':'\u2026','134':'\u2020','135':'\u2021','136':'\u02C6','137':'\u2030','138':'\u0160','139':'\u2039','140':'\u0152','142':'\u017D','145':'\u2018','146':'\u2019','147':'\u201C','148':'\u201D','149':'\u2022','150':'\u2013','151':'\u2014','152':'\u02DC','153':'\u2122','154':'\u0161','155':'\u203A','156':'\u0153','158':'\u017E','159':'\u0178'};
var invalidReferenceCodePoints = [1,2,3,4,5,6,7,8,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,64976,64977,64978,64979,64980,64981,64982,64983,64984,64985,64986,64987,64988,64989,64990,64991,64992,64993,64994,64995,64996,64997,64998,64999,65000,65001,65002,65003,65004,65005,65006,65007,65534,65535,131070,131071,196606,196607,262142,262143,327678,327679,393214,393215,458750,458751,524286,524287,589822,589823,655358,655359,720894,720895,786430,786431,851966,851967,917502,917503,983038,983039,1048574,1048575,1114110,1114111];
/*--------------------------------------------------------------------------*/
var stringFromCharCode = String.fromCharCode;
var object = {};
var hasOwnProperty = object.hasOwnProperty;
var has = function(object, propertyName) {
return hasOwnProperty.call(object, propertyName);
};
var contains = function(array, value) {
var index = -1;
var length = array.length;
while (++index < length) {
if (array[index] == value) {
return true;
}
}
return false;
};
var merge = function(options, defaults) {
if (!options) {
return defaults;
}
var result = {};
var key;
for (key in defaults) {
// A `hasOwnProperty` check is not needed here, since only recognized
// option names are used anyway. Any others are ignored.
result[key] = has(options, key) ? options[key] : defaults[key];
}
return result;
};
// Modified version of `ucs2encode`; see http://mths.be/punycode.
var codePointToSymbol = function(codePoint, strict) {
var output = '';
if ((codePoint >= 0xD800 && codePoint <= 0xDFFF) || codePoint > 0x10FFFF) {
// See issue #4:
// “Otherwise, if the number is in the range 0xD800 to 0xDFFF or is
// greater than 0x10FFFF, then this is a parse error. Return a U+FFFD
// REPLACEMENT CHARACTER.”
if (strict) {
parseError('character reference outside the permissible Unicode range');
}
return '\uFFFD';
}
if (has(decodeMapNumeric, codePoint)) {
if (strict) {
parseError('disallowed character reference');
}
return decodeMapNumeric[codePoint];
}
if (strict && contains(invalidReferenceCodePoints, codePoint)) {
parseError('disallowed character reference');
}
if (codePoint > 0xFFFF) {
codePoint -= 0x10000;
output += stringFromCharCode(codePoint >>> 10 & 0x3FF | 0xD800);
codePoint = 0xDC00 | codePoint & 0x3FF;
}
output += stringFromCharCode(codePoint);
return output;
};
var hexEscape = function(symbol) {
return '&#x' + symbol.charCodeAt(0).toString(16).toUpperCase() + ';';
};
var parseError = function(message) {
throw Error('Parse error: ' + message);
};
/*--------------------------------------------------------------------------*/
var encode = function(string, options) {
options = merge(options, encode.options);
var strict = options.strict;
if (strict && regexInvalidRawCodePoint.test(string)) {
parseError('forbidden code point');
}
var encodeEverything = options.encodeEverything;
var useNamedReferences = options.useNamedReferences;
var allowUnsafeSymbols = options.allowUnsafeSymbols;
if (encodeEverything) {
// Encode ASCII symbols.
string = string.replace(regexAsciiWhitelist, function(symbol) {
// Use named references if requested & possible.
if (useNamedReferences && has(encodeMap, symbol)) {
return '&' + encodeMap[symbol] + ';';
}
return hexEscape(symbol);
});
// Shorten a few escapes that represent two symbols, of which at least one
// is within the ASCII range.
if (useNamedReferences) {
string = string
.replace(/&gt;\u20D2/g, '&nvgt;')
.replace(/&lt;\u20D2/g, '&nvlt;')
.replace(/&#x66;&#x6A;/g, '&fjlig;');
}
// Encode non-ASCII symbols.
if (useNamedReferences) {
// Encode non-ASCII symbols that can be replaced with a named reference.
string = string.replace(regexEncodeNonAscii, function(string) {
// Note: there is no need to check `has(encodeMap, string)` here.
return '&' + encodeMap[string] + ';';
});
}
// Note: any remaining non-ASCII symbols are handled outside of the `if`.
} else if (useNamedReferences) {
// Apply named character references.
// Encode `<>"'&` using named character references.
if (!allowUnsafeSymbols) {
string = string.replace(regexEscape, function(string) {
return '&' + encodeMap[string] + ';'; // no need to check `has()` here
});
}
// Shorten escapes that represent two symbols, of which at least one is
// `<>"'&`.
string = string
.replace(/&gt;\u20D2/g, '&nvgt;')
.replace(/&lt;\u20D2/g, '&nvlt;');
// Encode non-ASCII symbols that can be replaced with a named reference.
string = string.replace(regexEncodeNonAscii, function(string) {
// Note: there is no need to check `has(encodeMap, string)` here.
return '&' + encodeMap[string] + ';';
});
} else if (!allowUnsafeSymbols) {
// Encode `<>"'&` using hexadecimal escapes, now that they’re not handled
// using named character references.
string = string.replace(regexEscape, hexEscape);
}
return string
// Encode astral symbols.
.replace(regexAstralSymbols, function($0) {
// https://mathiasbynens.be/notes/javascript-encoding#surrogate-formulae
var high = $0.charCodeAt(0);
var low = $0.charCodeAt(1);
var codePoint = (high - 0xD800) * 0x400 + low - 0xDC00 + 0x10000;
return '&#x' + codePoint.toString(16).toUpperCase() + ';';
})
// Encode any remaining BMP symbols that are not printable ASCII symbols
// using a hexadecimal escape.
.replace(regexBmpWhitelist, hexEscape);
};
// Expose default options (so they can be overridden globally).
encode.options = {
'allowUnsafeSymbols': false,
'encodeEverything': false,
'strict': false,
'useNamedReferences': false
};
var decode = function(html, options) {
options = merge(options, decode.options);
var strict = options.strict;
if (strict && regexInvalidEntity.test(html)) {
parseError('malformed character reference');
}
return html.replace(regexDecode, function($0, $1, $2, $3, $4, $5, $6, $7) {
var codePoint;
var semicolon;
var hexDigits;
var reference;
var next;
if ($1) {
// Decode decimal escapes, e.g. `&#119558;`.
codePoint = $1;
semicolon = $2;
if (strict && !semicolon) {
parseError('character reference was not terminated by a semicolon');
}
return codePointToSymbol(codePoint, strict);
}
if ($3) {
// Decode hexadecimal escapes, e.g. `&#x1D306;`.
hexDigits = $3;
semicolon = $4;
if (strict && !semicolon) {
parseError('character reference was not terminated by a semicolon');
}
codePoint = parseInt(hexDigits, 16);
return codePointToSymbol(codePoint, strict);
}
if ($5) {
// Decode named character references with trailing `;`, e.g. `&copy;`.
reference = $5;
if (has(decodeMap, reference)) {
return decodeMap[reference];
} else {
// Ambiguous ampersand; see http://mths.be/notes/ambiguous-ampersands.
if (strict) {
parseError(
'named character reference was not terminated by a semicolon'
);
}
return $0;
}
}
// If we’re still here, it’s a legacy reference for sure. No need for an
// extra `if` check.
// Decode named character references without trailing `;`, e.g. `&amp`
// This is only a parse error if it gets converted to `&`, or if it is
// followed by `=` in an attribute context.
reference = $6;
next = $7;
if (next && options.isAttributeValue) {
if (strict && next == '=') {
parseError('`&` did not start a character reference');
}
return $0;
} else {
if (strict) {
parseError(
'named character reference was not terminated by a semicolon'
);
}
// Note: there is no need to check `has(decodeMapLegacy, reference)`.
return decodeMapLegacy[reference] + (next || '');
}
});
};
// Expose default options (so they can be overridden globally).
decode.options = {
'isAttributeValue': false,
'strict': false
};
var escape = function(string) {
return string.replace(regexEscape, function($0) {
// Note: there is no need to check `has(escapeMap, $0)` here.
return escapeMap[$0];
});
};
/*--------------------------------------------------------------------------*/
var he = {
'version': '0.5.0',
'encode': encode,
'decode': decode,
'escape': escape,
'unescape': decode
};
// Some AMD build optimizers, like r.js, check for specific condition patterns
// like the following:
if (
typeof define == 'function' &&
typeof define.amd == 'object' &&
define.amd
) {
define(function() {
return he;
});
} else if (freeExports && !freeExports.nodeType) {
if (freeModule) { // in Node.js or RingoJS v0.8.0+
freeModule.exports = he;
} else { // in Narwhal or RingoJS v0.7.0-
for (var key in he) {
has(he, key) && (freeExports[key] = he[key]);
}
}
} else { // in Rhino or a web browser
root.he = he;
}
}(this));
}).call(this,typeof self !== "undefined" ? self : typeof window !== "undefined" ? window : {})
},{}],82:[function(require,module,exports){
(function (global){
/**
* @license
* Lo-Dash 2.4.1 (Custom Build) <http://lodash.com/>
* Build: `lodash modern -o ./dist/lodash.js`
* Copyright 2012-2013 The Dojo Foundation <http://dojofoundation.org/>
* Based on Underscore.js 1.5.2 <http://underscorejs.org/LICENSE>
* Copyright 2009-2013 Jeremy Ashkenas, DocumentCloud and Investigative Reporters & Editors
* Available under MIT license <http://lodash.com/license>
*/
;(function() {
/** Used as a safe reference for `undefined` in pre ES5 environments */
var undefined;
/** Used to pool arrays and objects used internally */
var arrayPool = [],
objectPool = [];
/** Used to generate unique IDs */
var idCounter = 0;
/** Used to prefix keys to avoid issues with `__proto__` and properties on `Object.prototype` */
var keyPrefix = +new Date + '';
/** Used as the size when optimizations are enabled for large arrays */
var largeArraySize = 75;
/** Used as the max size of the `arrayPool` and `objectPool` */
var maxPoolSize = 40;
/** Used to detect and test whitespace */
var whitespace = (
// whitespace
' \t\x0B\f\xA0\ufeff' +
// line terminators
'\n\r\u2028\u2029' +
// unicode category "Zs" space separators
'\u1680\u180e\u2000\u2001\u2002\u2003\u2004\u2005\u2006\u2007\u2008\u2009\u200a\u202f\u205f\u3000'
);
/** Used to match empty string literals in compiled template source */
var reEmptyStringLeading = /\b__p \+= '';/g,
reEmptyStringMiddle = /\b(__p \+=) '' \+/g,
reEmptyStringTrailing = /(__e\(.*?\)|\b__t\)) \+\n'';/g;
/**
* Used to match ES6 template delimiters
* http://people.mozilla.org/~jorendorff/es6-draft.html#sec-literals-string-literals
*/
var reEsTemplate = /\$\{([^\\}]*(?:\\.[^\\}]*)*)\}/g;
/** Used to match regexp flags from their coerced string values */
var reFlags = /\w*$/;
/** Used to detected named functions */
var reFuncName = /^\s*function[ \n\r\t]+\w/;
/** Used to match "interpolate" template delimiters */
var reInterpolate = /<%=([\s\S]+?)%>/g;
/** Used to match leading whitespace and zeros to be removed */
var reLeadingSpacesAndZeros = RegExp('^[' + whitespace + ']*0+(?=.$)');
/** Used to ensure capturing order of template delimiters */
var reNoMatch = /($^)/;
/** Used to detect functions containing a `this` reference */
var reThis = /\bthis\b/;
/** Used to match unescaped characters in compiled string literals */
var reUnescapedString = /['\n\r\t\u2028\u2029\\]/g;
/** Used to assign default `context` object properties */
var contextProps = [
'Array', 'Boolean', 'Date', 'Function', 'Math', 'Number', 'Object',
'RegExp', 'String', '_', 'attachEvent', 'clearTimeout', 'isFinite', 'isNaN',
'parseInt', 'setTimeout'
];
/** Used to make template sourceURLs easier to identify */
var templateCounter = 0;
/** `Object#toString` result shortcuts */
var argsClass = '[object Arguments]',
arrayClass = '[object Array]',
boolClass = '[object Boolean]',
dateClass = '[object Date]',
funcClass = '[object Function]',
numberClass = '[object Number]',
objectClass = '[object Object]',
regexpClass = '[object RegExp]',
stringClass = '[object String]';
/** Used to identify object classifications that `_.clone` supports */
var cloneableClasses = {};
cloneableClasses[funcClass] = false;
cloneableClasses[argsClass] = cloneableClasses[arrayClass] =
cloneableClasses[boolClass] = cloneableClasses[dateClass] =
cloneableClasses[numberClass] = cloneableClasses[objectClass] =
cloneableClasses[regexpClass] = cloneableClasses[stringClass] = true;
/** Used as an internal `_.debounce` options object */
var debounceOptions = {
'leading': false,
'maxWait': 0,
'trailing': false
};
/** Used as the property descriptor for `__bindData__` */
var descriptor = {
'configurable': false,
'enumerable': false,
'value': null,
'writable': false
};
/** Used to determine if values are of the language type Object */
var objectTypes = {
'boolean': false,
'function': true,
'object': true,
'number': false,
'string': false,
'undefined': false
};
/** Used to escape characters for inclusion in compiled string literals */
var stringEscapes = {
'\\': '\\',
"'": "'",
'\n': 'n',
'\r': 'r',
'\t': 't',
'\u2028': 'u2028',
'\u2029': 'u2029'
};
/** Used as a reference to the global object */
var root = (objectTypes[typeof window] && window) || this;
/** Detect free variable `exports` */
var freeExports = objectTypes[typeof exports] && exports && !exports.nodeType && exports;
/** Detect free variable `module` */
var freeModule = objectTypes[typeof module] && module && !module.nodeType && module;
/** Detect the popular CommonJS extension `module.exports` */
var moduleExports = freeModule && freeModule.exports === freeExports && freeExports;
/** Detect free variable `global` from Node.js or Browserified code and use it as `root` */
var freeGlobal = objectTypes[typeof global] && global;
if (freeGlobal && (freeGlobal.global === freeGlobal || freeGlobal.window === freeGlobal)) {
root = freeGlobal;
}
/*--------------------------------------------------------------------------*/
/**
* The base implementation of `_.indexOf` without support for binary searches
* or `fromIndex` constraints.
*
* @private
* @param {Array} array The array to search.
* @param {*} value The value to search for.
* @param {number} [fromIndex=0] The index to search from.
* @returns {number} Returns the index of the matched value or `-1`.
*/
function baseIndexOf(array, value, fromIndex) {
var index = (fromIndex || 0) - 1,
length = array ? array.length : 0;
while (++index < length) {
if (array[index] === value) {
return index;
}
}
return -1;
}
/**
* An implementation of `_.contains` for cache objects that mimics the return
* signature of `_.indexOf` by returning `0` if the value is found, else `-1`.
*
* @private
* @param {Object} cache The cache object to inspect.
* @param {*} value The value to search for.
* @returns {number} Returns `0` if `value` is found, else `-1`.
*/
function cacheIndexOf(cache, value) {
var type = typeof value;
cache = cache.cache;
if (type == 'boolean' || value == null) {
return cache[value] ? 0 : -1;
}
if (type != 'number' && type != 'string') {
type = 'object';
}
var key = type == 'number' ? value : keyPrefix + value;
cache = (cache = cache[type]) && cache[key];
return type == 'object'
? (cache && baseIndexOf(cache, value) > -1 ? 0 : -1)
: (cache ? 0 : -1);
}
/**
* Adds a given value to the corresponding cache object.
*
* @private
* @param {*} value The value to add to the cache.
*/
function cachePush(value) {
var cache = this.cache,
type = typeof value;
if (type == 'boolean' || value == null) {
cache[value] = true;
} else {
if (type != 'number' && type != 'string') {
type = 'object';
}
var key = type == 'number' ? value : keyPrefix + value,
typeCache = cache[type] || (cache[type] = {});
if (type == 'object') {
(typeCache[key] || (typeCache[key] = [])).push(value);
} else {
typeCache[key] = true;
}
}
}
/**
* Used by `_.max` and `_.min` as the default callback when a given
* collection is a string value.
*
* @private
* @param {string} value The character to inspect.
* @returns {number} Returns the code unit of given character.
*/
function charAtCallback(value) {
return value.charCodeAt(0);
}
/**
* Used by `sortBy` to compare transformed `collection` elements, stable sorting
* them in ascending order.
*
* @private
* @param {Object} a The object to compare to `b`.
* @param {Object} b The object to compare to `a`.
* @returns {number} Returns the sort order indicator of `1` or `-1`.
*/
function compareAscending(a, b) {
var ac = a.criteria,
bc = b.criteria,
index = -1,
length = ac.length;
while (++index < length) {
var value = ac[index],
other = bc[index];
if (value !== other) {
if (value > other || typeof value == 'undefined') {
return 1;
}
if (value < other || typeof other == 'undefined') {
return -1;
}
}
}
// Fixes an `Array#sort` bug in the JS engine embedded in Adobe applications
// that causes it, under certain circumstances, to return the same value for
// `a` and `b`. See https://github.com/jashkenas/underscore/pull/1247
//
// This also ensures a stable sort in V8 and other engines.
// See http://code.google.com/p/v8/issues/detail?id=90
return a.index - b.index;
}
/**
* Creates a cache object to optimize linear searches of large arrays.
*
* @private
* @param {Array} [array=[]] The array to search.
* @returns {null|Object} Returns the cache object or `null` if caching should not be used.
*/
function createCache(array) {
var index = -1,
length = array.length,
first = array[0],
mid = array[(length / 2) | 0],
last = array[length - 1];
if (first && typeof first == 'object' &&
mid && typeof mid == 'object' && last && typeof last == 'object') {
return false;
}
var cache = getObject();
cache['false'] = cache['null'] = cache['true'] = cache['undefined'] = false;
var result = getObject();
result.array = array;
result.cache = cache;
result.push = cachePush;
while (++index < length) {
result.push(array[index]);
}
return result;
}
/**
* Used by `template` to escape characters for inclusion in compiled
* string literals.
*
* @private
* @param {string} match The matched character to escape.
* @returns {string} Returns the escaped character.
*/
function escapeStringChar(match) {
return '\\' + stringEscapes[match];
}
/**
* Gets an array from the array pool or creates a new one if the pool is empty.
*
* @private
* @returns {Array} The array from the pool.
*/
function getArray() {
return arrayPool.pop() || [];
}
/**
* Gets an object from the object pool or creates a new one if the pool is empty.
*
* @private
* @returns {Object} The object from the pool.
*/
function getObject() {
return objectPool.pop() || {
'array': null,
'cache': null,
'criteria': null,
'false': false,
'index': 0,
'null': false,
'number': null,
'object': null,
'push': null,
'string': null,
'true': false,
'undefined': false,
'value': null
};
}
/**
* Releases the given array back to the array pool.
*
* @private
* @param {Array} [array] The array to release.
*/
function releaseArray(array) {
array.length = 0;
if (arrayPool.length < maxPoolSize) {
arrayPool.push(array);
}
}
/**
* Releases the given object back to the object pool.
*
* @private
* @param {Object} [object] The object to release.
*/
function releaseObject(object) {
var cache = object.cache;
if (cache) {
releaseObject(cache);
}
object.array = object.cache = object.criteria = object.object = object.number = object.string = object.value = null;
if (objectPool.length < maxPoolSize) {
objectPool.push(object);
}
}
/**
* Slices the `collection` from the `start` index up to, but not including,
* the `end` index.
*
* Note: This function is used instead of `Array#slice` to support node lists
* in IE < 9 and to ensure dense arrays are returned.
*
* @private
* @param {Array|Object|string} collection The collection to slice.
* @param {number} start The start index.
* @param {number} end The end index.
* @returns {Array} Returns the new array.
*/
function slice(array, start, end) {
start || (start = 0);
if (typeof end == 'undefined') {
end = array ? array.length : 0;
}
var index = -1,
length = end - start || 0,
result = Array(length < 0 ? 0 : length);
while (++index < length) {
result[index] = array[start + index];
}
return result;
}
/*--------------------------------------------------------------------------*/
/**
* Create a new `lodash` function using the given context object.
*
* @static
* @memberOf _
* @category Utilities
* @param {Object} [context=root] The context object.
* @returns {Function} Returns the `lodash` function.
*/
function runInContext(context) {
// Avoid issues with some ES3 environments that attempt to use values, named
// after built-in constructors like `Object`, for the creation of literals.
// ES5 clears this up by stating that literals must use built-in constructors.
// See http://es5.github.io/#x11.1.5.
context = context ? _.defaults(root.Object(), context, _.pick(root, contextProps)) : root;
/** Native constructor references */
var Array = context.Array,
Boolean = context.Boolean,
Date = context.Date,
Function = context.Function,
Math = context.Math,
Number = context.Number,
Object = context.Object,
RegExp = context.RegExp,
String = context.String,
TypeError = context.TypeError;
/**
* Used for `Array` method references.
*
* Normally `Array.prototype` would suffice, however, using an array literal
* avoids issues in Narwhal.
*/
var arrayRef = [];
/** Used for native method references */
var objectProto = Object.prototype;
/** Used to restore the original `_` reference in `noConflict` */
var oldDash = context._;
/** Used to resolve the internal [[Class]] of values */
var toString = objectProto.toString;
/** Used to detect if a method is native */
var reNative = RegExp('^' +
String(toString)
.replace(/[.*+?^${}()|[\]\\]/g, '\\$&')
.replace(/toString| for [^\]]+/g, '.*?') + '$'
);
/** Native method shortcuts */
var ceil = Math.ceil,
clearTimeout = context.clearTimeout,
floor = Math.floor,
fnToString = Function.prototype.toString,
getPrototypeOf = isNative(getPrototypeOf = Object.getPrototypeOf) && getPrototypeOf,
hasOwnProperty = objectProto.hasOwnProperty,
push = arrayRef.push,
setTimeout = context.setTimeout,
splice = arrayRef.splice,
unshift = arrayRef.unshift;
/** Used to set meta data on functions */
var defineProperty = (function() {
// IE 8 only accepts DOM elements
try {
var o = {},
func = isNative(func = Object.defineProperty) && func,
result = func(o, o, o) && func;
} catch(e) { }
return result;
}());
/* Native method shortcuts for methods with the same name as other `lodash` methods */
var nativeCreate = isNative(nativeCreate = Object.create) && nativeCreate,
nativeIsArray = isNative(nativeIsArray = Array.isArray) && nativeIsArray,
nativeIsFinite = context.isFinite,
nativeIsNaN = context.isNaN,
nativeKeys = isNative(nativeKeys = Object.keys) && nativeKeys,
nativeMax = Math.max,
nativeMin = Math.min,
nativeParseInt = context.parseInt,
nativeRandom = Math.random;
/** Used to lookup a built-in constructor by [[Class]] */
var ctorByClass = {};
ctorByClass[arrayClass] = Array;
ctorByClass[boolClass] = Boolean;
ctorByClass[dateClass] = Date;
ctorByClass[funcClass] = Function;
ctorByClass[objectClass] = Object;
ctorByClass[numberClass] = Number;
ctorByClass[regexpClass] = RegExp;
ctorByClass[stringClass] = String;
/*--------------------------------------------------------------------------*/
/**
* Creates a `lodash` object which wraps the given value to enable intuitive
* method chaining.
*
* In addition to Lo-Dash methods, wrappers also have the following `Array` methods:
* `concat`, `join`, `pop`, `push`, `reverse`, `shift`, `slice`, `sort`, `splice`,
* and `unshift`
*
* Chaining is supported in custom builds as long as the `value` method is
* implicitly or explicitly included in the build.
*
* The chainable wrapper functions are:
* `after`, `assign`, `bind`, `bindAll`, `bindKey`, `chain`, `compact`,
* `compose`, `concat`, `countBy`, `create`, `createCallback`, `curry`,
* `debounce`, `defaults`, `defer`, `delay`, `difference`, `filter`, `flatten`,
* `forEach`, `forEachRight`, `forIn`, `forInRight`, `forOwn`, `forOwnRight`,
* `functions`, `groupBy`, `indexBy`, `initial`, `intersection`, `invert`,
* `invoke`, `keys`, `map`, `max`, `memoize`, `merge`, `min`, `object`, `omit`,
* `once`, `pairs`, `partial`, `partialRight`, `pick`, `pluck`, `pull`, `push`,
* `range`, `reject`, `remove`, `rest`, `reverse`, `shuffle`, `slice`, `sort`,
* `sortBy`, `splice`, `tap`, `throttle`, `times`, `toArray`, `transform`,
* `union`, `uniq`, `unshift`, `unzip`, `values`, `where`, `without`, `wrap`,
* and `zip`
*
* The non-chainable wrapper functions are:
* `clone`, `cloneDeep`, `contains`, `escape`, `every`, `find`, `findIndex`,
* `findKey`, `findLast`, `findLastIndex`, `findLastKey`, `has`, `identity`,
* `indexOf`, `isArguments`, `isArray`, `isBoolean`, `isDate`, `isElement`,
* `isEmpty`, `isEqual`, `isFinite`, `isFunction`, `isNaN`, `isNull`, `isNumber`,
* `isObject`, `isPlainObject`, `isRegExp`, `isString`, `isUndefined`, `join`,
* `lastIndexOf`, `mixin`, `noConflict`, `parseInt`, `pop`, `random`, `reduce`,
* `reduceRight`, `result`, `shift`, `size`, `some`, `sortedIndex`, `runInContext`,
* `template`, `unescape`, `uniqueId`, and `value`
*
* The wrapper functions `first` and `last` return wrapped values when `n` is
* provided, otherwise they return unwrapped values.
*
* Explicit chaining can be enabled by using the `_.chain` method.
*
* @name _
* @constructor
* @category Chaining
* @param {*} value The value to wrap in a `lodash` instance.
* @returns {Object} Returns a `lodash` instance.
* @example
*
* var wrapped = _([1, 2, 3]);
*
* // returns an unwrapped value
* wrapped.reduce(function(sum, num) {
* return sum + num;
* });
* // => 6
*
* // returns a wrapped value
* var squares = wrapped.map(function(num) {
* return num * num;
* });
*
* _.isArray(squares);
* // => false
*
* _.isArray(squares.value());
* // => true
*/
function lodash(value) {
// don't wrap if already wrapped, even if wrapped by a different `lodash` constructor
return (value && typeof value == 'object' && !isArray(value) && hasOwnProperty.call(value, '__wrapped__'))
? value
: new lodashWrapper(value);
}
/**
* A fast path for creating `lodash` wrapper objects.
*
* @private
* @param {*} value The value to wrap in a `lodash` instance.
* @param {boolean} chainAll A flag to enable chaining for all methods
* @returns {Object} Returns a `lodash` instance.
*/
function lodashWrapper(value, chainAll) {
this.__chain__ = !!chainAll;
this.__wrapped__ = value;
}
// ensure `new lodashWrapper` is an instance of `lodash`
lodashWrapper.prototype = lodash.prototype;
/**
* An object used to flag environments features.
*
* @static
* @memberOf _
* @type Object
*/
var support = lodash.support = {};
/**
* Detect if functions can be decompiled by `Function#toString`
* (all but PS3 and older Opera mobile browsers & avoided in Windows 8 apps).
*
* @memberOf _.support
* @type boolean
*/
support.funcDecomp = !isNative(context.WinRTError) && reThis.test(runInContext);
/**
* Detect if `Function#name` is supported (all but IE).
*
* @memberOf _.support
* @type boolean
*/
support.funcNames = typeof Function.name == 'string';
/**
* By default, the template delimiters used by Lo-Dash are similar to those in
* embedded Ruby (ERB). Change the following template settings to use alternative
* delimiters.
*
* @static
* @memberOf _
* @type Object
*/
lodash.templateSettings = {
/**
* Used to detect `data` property values to be HTML-escaped.
*
* @memberOf _.templateSettings
* @type RegExp
*/
'escape': /<%-([\s\S]+?)%>/g,
/**
* Used to detect code to be evaluated.
*
* @memberOf _.templateSettings
* @type RegExp
*/
'evaluate': /<%([\s\S]+?)%>/g,
/**
* Used to detect `data` property values to inject.
*
* @memberOf _.templateSettings
* @type RegExp
*/
'interpolate': reInterpolate,
/**
* Used to reference the data object in the template text.
*
* @memberOf _.templateSettings
* @type string
*/
'variable': '',
/**
* Used to import variables into the compiled template.
*
* @memberOf _.templateSettings
* @type Object
*/
'imports': {
/**
* A reference to the `lodash` function.
*
* @memberOf _.templateSettings.imports
* @type Function
*/
'_': lodash
}
};
/*--------------------------------------------------------------------------*/
/**
* The base implementation of `_.bind` that creates the bound function and
* sets its meta data.
*
* @private
* @param {Array} bindData The bind data array.
* @returns {Function} Returns the new bound function.
*/
function baseBind(bindData) {
var func = bindData[0],
partialArgs = bindData[2],
thisArg = bindData[4];
function bound() {
// `Function#bind` spec
// http://es5.github.io/#x15.3.4.5
if (partialArgs) {
// avoid `arguments` object deoptimizations by using `slice` instead
// of `Array.prototype.slice.call` and not assigning `arguments` to a
// variable as a ternary expression
var args = slice(partialArgs);
push.apply(args, arguments);
}
// mimic the constructor's `return` behavior
// http://es5.github.io/#x13.2.2
if (this instanceof bound) {
// ensure `new bound` is an instance of `func`
var thisBinding = baseCreate(func.prototype),
result = func.apply(thisBinding, args || arguments);
return isObject(result) ? result : thisBinding;
}
return func.apply(thisArg, args || arguments);
}
setBindData(bound, bindData);
return bound;
}
/**
* The base implementation of `_.clone` without argument juggling or support
* for `thisArg` binding.
*
* @private
* @param {*} value The value to clone.
* @param {boolean} [isDeep=false] Specify a deep clone.
* @param {Function} [callback] The function to customize cloning values.
* @param {Array} [stackA=[]] Tracks traversed source objects.
* @param {Array} [stackB=[]] Associates clones with source counterparts.
* @returns {*} Returns the cloned value.
*/
function baseClone(value, isDeep, callback, stackA, stackB) {
if (callback) {
var result = callback(value);
if (typeof result != 'undefined') {
return result;
}
}
// inspect [[Class]]
var isObj = isObject(value);
if (isObj) {
var className = toString.call(value);
if (!cloneableClasses[className]) {
return value;
}
var ctor = ctorByClass[className];
switch (className) {
case boolClass:
case dateClass:
return new ctor(+value);
case numberClass:
case stringClass:
return new ctor(value);
case regexpClass:
result = ctor(value.source, reFlags.exec(value));
result.lastIndex = value.lastIndex;
return result;
}
} else {
return value;
}
var isArr = isArray(value);
if (isDeep) {
// check for circular references and return corresponding clone
var initedStack = !stackA;
stackA || (stackA = getArray());
stackB || (stackB = getArray());
var length = stackA.length;
while (length--) {
if (stackA[length] == value) {
return stackB[length];
}
}
result = isArr ? ctor(value.length) : {};
}
else {
result = isArr ? slice(value) : assign({}, value);
}
// add array properties assigned by `RegExp#exec`
if (isArr) {
if (hasOwnProperty.call(value, 'index')) {
result.index = value.index;
}
if (hasOwnProperty.call(value, 'input')) {
result.input = value.input;
}
}
// exit for shallow clone
if (!isDeep) {
return result;
}
// add the source value to the stack of traversed objects
// and associate it with its clone
stackA.push(value);
stackB.push(result);
// recursively populate clone (susceptible to call stack limits)
(isArr ? forEach : forOwn)(value, function(objValue, key) {
result[key] = baseClone(objValue, isDeep, callback, stackA, stackB);
});
if (initedStack) {
releaseArray(stackA);
releaseArray(stackB);
}
return result;
}
/**
* The base implementation of `_.create` without support for assigning
* properties to the created object.
*
* @private
* @param {Object} prototype The object to inherit from.
* @returns {Object} Returns the new object.
*/
function baseCreate(prototype, properties) {
return isObject(prototype) ? nativeCreate(prototype) : {};
}
// fallback for browsers without `Object.create`
if (!nativeCreate) {
baseCreate = (function() {
function Object() {}
return function(prototype) {
if (isObject(prototype)) {
Object.prototype = prototype;
var result = new Object;
Object.prototype = null;
}
return result || context.Object();
};
}());
}
/**
* The base implementation of `_.createCallback` without support for creating
* "_.pluck" or "_.where" style callbacks.
*
* @private
* @param {*} [func=identity] The value to convert to a callback.
* @param {*} [thisArg] The `this` binding of the created callback.
* @param {number} [argCount] The number of arguments the callback accepts.
* @returns {Function} Returns a callback function.
*/
function baseCreateCallback(func, thisArg, argCount) {
if (typeof func != 'function') {
return identity;
}
// exit early for no `thisArg` or already bound by `Function#bind`
if (typeof thisArg == 'undefined' || !('prototype' in func)) {
return func;
}
var bindData = func.__bindData__;
if (typeof bindData == 'undefined') {
if (support.funcNames) {
bindData = !func.name;
}
bindData = bindData || !support.funcDecomp;
if (!bindData) {
var source = fnToString.call(func);
if (!support.funcNames) {
bindData = !reFuncName.test(source);
}
if (!bindData) {
// checks if `func` references the `this` keyword and stores the result
bindData = reThis.test(source);
setBindData(func, bindData);
}
}
}
// exit early if there are no `this` references or `func` is bound
if (bindData === false || (bindData !== true && bindData[1] & 1)) {
return func;
}
switch (argCount) {
case 1: return function(value) {
return func.call(thisArg, value);
};
case 2: return function(a, b) {
return func.call(thisArg, a, b);
};
case 3: return function(value, index, collection) {
return func.call(thisArg, value, index, collection);
};
case 4: return function(accumulator, value, index, collection) {
return func.call(thisArg, accumulator, value, index, collection);
};
}
return bind(func, thisArg);
}
/**
* The base implementation of `createWrapper` that creates the wrapper and
* sets its meta data.
*
* @private
* @param {Array} bindData The bind data array.
* @returns {Function} Returns the new function.
*/
function baseCreateWrapper(bindData) {
var func = bindData[0],
bitmask = bindData[1],
partialArgs = bindData[2],
partialRightArgs = bindData[3],
thisArg = bindData[4],
arity = bindData[5];
var isBind = bitmask & 1,
isBindKey = bitmask & 2,
isCurry = bitmask & 4,
isCurryBound = bitmask & 8,
key = func;
function bound() {
var thisBinding = isBind ? thisArg : this;
if (partialArgs) {
var args = slice(partialArgs);
push.apply(args, arguments);
}
if (partialRightArgs || isCurry) {
args || (args = slice(arguments));
if (partialRightArgs) {
push.apply(args, partialRightArgs);
}
if (isCurry && args.length < arity) {
bitmask |= 16 & ~32;
return baseCreateWrapper([func, (isCurryBound ? bitmask : bitmask & ~3), args, null, thisArg, arity]);
}
}
args || (args = arguments);
if (isBindKey) {
func = thisBinding[key];
}
if (this instanceof bound) {
thisBinding = baseCreate(func.prototype);
var result = func.apply(thisBinding, args);
return isObject(result) ? result : thisBinding;
}
return func.apply(thisBinding, args);
}
setBindData(bound, bindData);
return bound;
}
/**
* The base implementation of `_.difference` that accepts a single array
* of values to exclude.
*
* @private
* @param {Array} array The array to process.
* @param {Array} [values] The array of values to exclude.
* @returns {Array} Returns a new array of filtered values.
*/
function baseDifference(array, values) {
var index = -1,
indexOf = getIndexOf(),
length = array ? array.length : 0,
isLarge = length >= largeArraySize && indexOf === baseIndexOf,
result = [];
if (isLarge) {
var cache = createCache(values);
if (cache) {
indexOf = cacheIndexOf;
values = cache;
} else {
isLarge = false;
}
}
while (++index < length) {
var value = array[index];
if (indexOf(values, value) < 0) {
result.push(value);
}
}
if (isLarge) {
releaseObject(values);
}
return result;
}
/**
* The base implementation of `_.flatten` without support for callback
* shorthands or `thisArg` binding.
*
* @private
* @param {Array} array The array to flatten.
* @param {boolean} [isShallow=false] A flag to restrict flattening to a single level.
* @param {boolean} [isStrict=false] A flag to restrict flattening to arrays and `arguments` objects.
* @param {number} [fromIndex=0] The index to start from.
* @returns {Array} Returns a new flattened array.
*/
function baseFlatten(array, isShallow, isStrict, fromIndex) {
var index = (fromIndex || 0) - 1,
length = array ? array.length : 0,
result = [];
while (++index < length) {
var value = array[index];
if (value && typeof value == 'object' && typeof value.length == 'number'
&& (isArray(value) || isArguments(value))) {
// recursively flatten arrays (susceptible to call stack limits)
if (!isShallow) {
value = baseFlatten(value, isShallow, isStrict);
}
var valIndex = -1,
valLength = value.length,
resIndex = result.length;
result.length += valLength;
while (++valIndex < valLength) {
result[resIndex++] = value[valIndex];
}
} else if (!isStrict) {
result.push(value);
}
}
return result;
}
/**
* The base implementation of `_.isEqual`, without support for `thisArg` binding,
* that allows partial "_.where" style comparisons.
*
* @private
* @param {*} a The value to compare.
* @param {*} b The other value to compare.
* @param {Function} [callback] The function to customize comparing values.
* @param {Function} [isWhere=false] A flag to indicate performing partial comparisons.
* @param {Array} [stackA=[]] Tracks traversed `a` objects.
* @param {Array} [stackB=[]] Tracks traversed `b` objects.
* @returns {boolean} Returns `true` if the values are equivalent, else `false`.
*/
function baseIsEqual(a, b, callback, isWhere, stackA, stackB) {
// used to indicate that when comparing objects, `a` has at least the properties of `b`
if (callback) {
var result = callback(a, b);
if (typeof result != 'undefined') {
return !!result;
}
}
// exit early for identical values
if (a === b) {
// treat `+0` vs. `-0` as not equal
return a !== 0 || (1 / a == 1 / b);
}
var type = typeof a,
otherType = typeof b;
// exit early for unlike primitive values
if (a === a &&
!(a && objectTypes[type]) &&
!(b && objectTypes[otherType])) {
return false;
}
// exit early for `null` and `undefined` avoiding ES3's Function#call behavior
// http://es5.github.io/#x15.3.4.4
if (a == null || b == null) {
return a === b;
}
// compare [[Class]] names
var className = toString.call(a),
otherClass = toString.call(b);
if (className == argsClass) {
className = objectClass;
}
if (otherClass == argsClass) {
otherClass = objectClass;
}
if (className != otherClass) {
return false;
}
switch (className) {
case boolClass:
case dateClass:
// coerce dates and booleans to numbers, dates to milliseconds and booleans
// to `1` or `0` treating invalid dates coerced to `NaN` as not equal
return +a == +b;
case numberClass:
// treat `NaN` vs. `NaN` as equal
return (a != +a)
? b != +b
// but treat `+0` vs. `-0` as not equal
: (a == 0 ? (1 / a == 1 / b) : a == +b);
case regexpClass:
case stringClass:
// coerce regexes to strings (http://es5.github.io/#x15.10.6.4)
// treat string primitives and their corresponding object instances as equal
return a == String(b);
}
var isArr = className == arrayClass;
if (!isArr) {
// unwrap any `lodash` wrapped values
var aWrapped = hasOwnProperty.call(a, '__wrapped__'),
bWrapped = hasOwnProperty.call(b, '__wrapped__');
if (aWrapped || bWrapped) {
return baseIsEqual(aWrapped ? a.__wrapped__ : a, bWrapped ? b.__wrapped__ : b, callback, isWhere, stackA, stackB);
}
// exit for functions and DOM nodes
if (className != objectClass) {
return false;
}
// in older versions of Opera, `arguments` objects have `Array` constructors
var ctorA = a.constructor,
ctorB = b.constructor;
// non `Object` object instances with different constructors are not equal
if (ctorA != ctorB &&
!(isFunction(ctorA) && ctorA instanceof ctorA && isFunction(ctorB) && ctorB instanceof ctorB) &&
('constructor' in a && 'constructor' in b)
) {
return false;
}
}
// assume cyclic structures are equal
// the algorithm for detecting cyclic structures is adapted from ES 5.1
// section 15.12.3, abstract operation `JO` (http://es5.github.io/#x15.12.3)
var initedStack = !stackA;
stackA || (stackA = getArray());
stackB || (stackB = getArray());
var length = stackA.length;
while (length--) {
if (stackA[length] == a) {
return stackB[length] == b;
}
}
var size = 0;
result = true;
// add `a` and `b` to the stack of traversed objects
stackA.push(a);
stackB.push(b);
// recursively compare objects and arrays (susceptible to call stack limits)
if (isArr) {
// compare lengths to determine if a deep comparison is necessary
length = a.length;
size = b.length;
result = size == length;
if (result || isWhere) {
// deep compare the contents, ignoring non-numeric properties
while (size--) {
var index = length,
value = b[size];
if (isWhere) {
while (index--) {
if ((result = baseIsEqual(a[index], value, callback, isWhere, stackA, stackB))) {
break;
}
}
} else if (!(result = baseIsEqual(a[size], value, callback, isWhere, stackA, stackB))) {
break;
}
}
}
}
else {
// deep compare objects using `forIn`, instead of `forOwn`, to avoid `Object.keys`
// which, in this case, is more costly
forIn(b, function(value, key, b) {
if (hasOwnProperty.call(b, key)) {
// count the number of properties.
size++;
// deep compare each property value.
return (result = hasOwnProperty.call(a, key) && baseIsEqual(a[key], value, callback, isWhere, stackA, stackB));
}
});
if (result && !isWhere) {
// ensure both objects have the same number of properties
forIn(a, function(value, key, a) {
if (hasOwnProperty.call(a, key)) {
// `size` will be `-1` if `a` has more properties than `b`
return (result = --size > -1);
}
});
}
}
stackA.pop();
stackB.pop();
if (initedStack) {
releaseArray(stackA);
releaseArray(stackB);
}
return result;
}
/**
* The base implementation of `_.merge` without argument juggling or support
* for `thisArg` binding.
*
* @private
* @param {Object} object The destination object.
* @param {Object} source The source object.
* @param {Function} [callback] The function to customize merging properties.
* @param {Array} [stackA=[]] Tracks traversed source objects.
* @param {Array} [stackB=[]] Associates values with source counterparts.
*/
function baseMerge(object, source, callback, stackA, stackB) {
(isArray(source) ? forEach : forOwn)(source, function(source, key) {
var found,
isArr,
result = source,
value = object[key];
if (source && ((isArr = isArray(source)) || isPlainObject(source))) {
// avoid merging previously merged cyclic sources
var stackLength = stackA.length;
while (stackLength--) {
if ((found = stackA[stackLength] == source)) {
value = stackB[stackLength];
break;
}
}
if (!found) {
var isShallow;
if (callback) {
result = callback(value, source);
if ((isShallow = typeof result != 'undefined')) {
value = result;
}
}
if (!isShallow) {
value = isArr
? (isArray(value) ? value : [])
: (isPlainObject(value) ? value : {});
}
// add `source` and associated `value` to the stack of traversed objects
stackA.push(source);
stackB.push(value);
// recursively merge objects and arrays (susceptible to call stack limits)
if (!isShallow) {
baseMerge(value, source, callback, stackA, stackB);
}
}
}
else {
if (callback) {
result = callback(value, source);
if (typeof result == 'undefined') {
result = source;
}
}
if (typeof result != 'undefined') {
value = result;
}
}
object[key] = value;
});
}
/**
* The base implementation of `_.random` without argument juggling or support
* for returning floating-point numbers.
*
* @private
* @param {number} min The minimum possible value.
* @param {number} max The maximum possible value.
* @returns {number} Returns a random number.
*/
function baseRandom(min, max) {
return min + floor(nativeRandom() * (max - min + 1));
}
/**
* The base implementation of `_.uniq` without support for callback shorthands
* or `thisArg` binding.
*
* @private
* @param {Array} array The array to process.
* @param {boolean} [isSorted=false] A flag to indicate that `array` is sorted.
* @param {Function} [callback] The function called per iteration.
* @returns {Array} Returns a duplicate-value-free array.
*/
function baseUniq(array, isSorted, callback) {
var index = -1,
indexOf = getIndexOf(),
length = array ? array.length : 0,
result = [];
var isLarge = !isSorted && length >= largeArraySize && indexOf === baseIndexOf,
seen = (callback || isLarge) ? getArray() : result;
if (isLarge) {
var cache = createCache(seen);
indexOf = cacheIndexOf;
seen = cache;
}
while (++index < length) {
var value = array[index],
computed = callback ? callback(value, index, array) : value;
if (isSorted
? !index || seen[seen.length - 1] !== computed
: indexOf(seen, computed) < 0
) {
if (callback || isLarge) {
seen.push(computed);
}
result.push(value);
}
}
if (isLarge) {
releaseArray(seen.array);
releaseObject(seen);
} else if (callback) {
releaseArray(seen);
}
return result;
}
/**
* Creates a function that aggregates a collection, creating an object composed
* of keys generated from the results of running each element of the collection
* through a callback. The given `setter` function sets the keys and values
* of the composed object.
*
* @private
* @param {Function} setter The setter function.
* @returns {Function} Returns the new aggregator function.
*/
function createAggregator(setter) {
return function(collection, callback, thisArg) {
var result = {};
callback = lodash.createCallback(callback, thisArg, 3);
var index = -1,
length = collection ? collection.length : 0;
if (typeof length == 'number') {
while (++index < length) {
var value = collection[index];
setter(result, value, callback(value, index, collection), collection);
}
} else {
forOwn(collection, function(value, key, collection) {
setter(result, value, callback(value, key, collection), collection);
});
}
return result;
};
}
/**
* Creates a function that, when called, either curries or invokes `func`
* with an optional `this` binding and partially applied arguments.
*
* @private
* @param {Function|string} func The function or method name to reference.
* @param {number} bitmask The bitmask of method flags to compose.
* The bitmask may be composed of the following flags:
* 1 - `_.bind`
* 2 - `_.bindKey`
* 4 - `_.curry`
* 8 - `_.curry` (bound)
* 16 - `_.partial`
* 32 - `_.partialRight`
* @param {Array} [partialArgs] An array of arguments to prepend to those
* provided to the new function.
* @param {Array} [partialRightArgs] An array of arguments to append to those
* provided to the new function.
* @param {*} [thisArg] The `this` binding of `func`.
* @param {number} [arity] The arity of `func`.
* @returns {Function} Returns the new function.
*/
function createWrapper(func, bitmask, partialArgs, partialRightArgs, thisArg, arity) {
var isBind = bitmask & 1,
isBindKey = bitmask & 2,
isCurry = bitmask & 4,
isCurryBound = bitmask & 8,
isPartial = bitmask & 16,
isPartialRight = bitmask & 32;
if (!isBindKey && !isFunction(func)) {
throw new TypeError;
}
if (isPartial && !partialArgs.length) {
bitmask &= ~16;
isPartial = partialArgs = false;
}
if (isPartialRight && !partialRightArgs.length) {
bitmask &= ~32;
isPartialRight = partialRightArgs = false;
}
var bindData = func && func.__bindData__;
if (bindData && bindData !== true) {
// clone `bindData`
bindData = slice(bindData);
if (bindData[2]) {
bindData[2] = slice(bindData[2]);
}
if (bindData[3]) {
bindData[3] = slice(bindData[3]);
}
// set `thisBinding` is not previously bound
if (isBind && !(bindData[1] & 1)) {
bindData[4] = thisArg;
}
// set if previously bound but not currently (subsequent curried functions)
if (!isBind && bindData[1] & 1) {
bitmask |= 8;
}
// set curried arity if not yet set
if (isCurry && !(bindData[1] & 4)) {
bindData[5] = arity;
}
// append partial left arguments
if (isPartial) {
push.apply(bindData[2] || (bindData[2] = []), partialArgs);
}
// append partial right arguments
if (isPartialRight) {
unshift.apply(bindData[3] || (bindData[3] = []), partialRightArgs);
}
// merge flags
bindData[1] |= bitmask;
return createWrapper.apply(null, bindData);
}
// fast path for `_.bind`
var creater = (bitmask == 1 || bitmask === 17) ? baseBind : baseCreateWrapper;
return creater([func, bitmask, partialArgs, partialRightArgs, thisArg, arity]);
}
/**
* Used by `escape` to convert characters to HTML entities.
*
* @private
* @param {string} match The matched character to escape.
* @returns {string} Returns the escaped character.
*/
function escapeHtmlChar(match) {
return htmlEscapes[match];
}
/**
* Gets the appropriate "indexOf" function. If the `_.indexOf` method is
* customized, this method returns the custom method, otherwise it returns
* the `baseIndexOf` function.
*
* @private
* @returns {Function} Returns the "indexOf" function.
*/
function getIndexOf() {
var result = (result = lodash.indexOf) === indexOf ? baseIndexOf : result;
return result;
}
/**
* Checks if `value` is a native function.
*
* @private
* @param {*} value The value to check.
* @returns {boolean} Returns `true` if the `value` is a native function, else `false`.
*/
function isNative(value) {
return typeof value == 'function' && reNative.test(value);
}
/**
* Sets `this` binding data on a given function.
*
* @private
* @param {Function} func The function to set data on.
* @param {Array} value The data array to set.
*/
var setBindData = !defineProperty ? noop : function(func, value) {
descriptor.value = value;
defineProperty(func, '__bindData__', descriptor);
};
/**
* A fallback implementation of `isPlainObject` which checks if a given value
* is an object created by the `Object` constructor, assuming objects created
* by the `Object` constructor have no inherited enumerable properties and that
* there are no `Object.prototype` extensions.
*
* @private
* @param {*} value The value to check.
* @returns {boolean} Returns `true` if `value` is a plain object, else `false`.
*/
function shimIsPlainObject(value) {
var ctor,
result;
// avoid non Object objects, `arguments` objects, and DOM elements
if (!(value && toString.call(value) == objectClass) ||
(ctor = value.constructor, isFunction(ctor) && !(ctor instanceof ctor))) {
return false;
}
// In most environments an object's own properties are iterated before
// its inherited properties. If the last iterated property is an object's
// own property then there are no inherited enumerable properties.
forIn(value, function(value, key) {
result = key;
});
return typeof result == 'undefined' || hasOwnProperty.call(value, result);
}
/**
* Used by `unescape` to convert HTML entities to characters.
*
* @private
* @param {string} match The matched character to unescape.
* @returns {string} Returns the unescaped character.
*/
function unescapeHtmlChar(match) {
return htmlUnescapes[match];
}
/*--------------------------------------------------------------------------*/
/**
* Checks if `value` is an `arguments` object.
*
* @static
* @memberOf _
* @category Objects
* @param {*} value The value to check.
* @returns {boolean} Returns `true` if the `value` is an `arguments` object, else `false`.
* @example
*
* (function() { return _.isArguments(arguments); })(1, 2, 3);
* // => true
*
* _.isArguments([1, 2, 3]);
* // => false
*/
function isArguments(value) {
return value && typeof value == 'object' && typeof value.length == 'number' &&
toString.call(value) == argsClass || false;
}
/**
* Checks if `value` is an array.
*
* @static
* @memberOf _
* @type Function
* @category Objects
* @param {*} value The value to check.
* @returns {boolean} Returns `true` if the `value` is an array, else `false`.
* @example
*
* (function() { return _.isArray(arguments); })();
* // => false
*
* _.isArray([1, 2, 3]);
* // => true
*/
var isArray = nativeIsArray || function(value) {
return value && typeof value == 'object' && typeof value.length == 'number' &&
toString.call(value) == arrayClass || false;
};
/**
* A fallback implementation of `Object.keys` which produces an array of the
* given object's own enumerable property names.
*
* @private
* @type Function
* @param {Object} object The object to inspect.
* @returns {Array} Returns an array of property names.
*/
var shimKeys = function(object) {
var index, iterable = object, result = [];
if (!iterable) return result;
if (!(objectTypes[typeof object])) return result;
for (index in iterable) {
if (hasOwnProperty.call(iterable, index)) {
result.push(index);
}
}
return result
};
/**
* Creates an array composed of the own enumerable property names of an object.
*
* @static
* @memberOf _
* @category Objects
* @param {Object} object The object to inspect.
* @returns {Array} Returns an array of property names.
* @example
*
* _.keys({ 'one': 1, 'two': 2, 'three': 3 });
* // => ['one', 'two', 'three'] (property order is not guaranteed across environments)
*/
var keys = !nativeKeys ? shimKeys : function(object) {
if (!isObject(object)) {
return [];
}
return nativeKeys(object);
};
/**
* Used to convert characters to HTML entities:
*
* Though the `>` character is escaped for symmetry, characters like `>` and `/`
* don't require escaping in HTML and have no special meaning unless they're part
* of a tag or an unquoted attribute value.
* http://mathiasbynens.be/notes/ambiguous-ampersands (under "semi-related fun fact")
*/
var htmlEscapes = {
'&': '&amp;',
'<': '&lt;',
'>': '&gt;',
'"': '&quot;',
"'": '&#39;'
};
/** Used to convert HTML entities to characters */
var htmlUnescapes = invert(htmlEscapes);
/** Used to match HTML entities and HTML characters */
var reEscapedHtml = RegExp('(' + keys(htmlUnescapes).join('|') + ')', 'g'),
reUnescapedHtml = RegExp('[' + keys(htmlEscapes).join('') + ']', 'g');
/*--------------------------------------------------------------------------*/
/**
* Assigns own enumerable properties of source object(s) to the destination
* object. Subsequent sources will overwrite property assignments of previous
* sources. If a callback is provided it will be executed to produce the
* assigned values. The callback is bound to `thisArg` and invoked with two
* arguments; (objectValue, sourceValue).
*
* @static
* @memberOf _
* @type Function
* @alias extend
* @category Objects
* @param {Object} object The destination object.
* @param {...Object} [source] The source objects.
* @param {Function} [callback] The function to customize assigning values.
* @param {*} [thisArg] The `this` binding of `callback`.
* @returns {Object} Returns the destination object.
* @example
*
* _.assign({ 'name': 'fred' }, { 'employer': 'slate' });
* // => { 'name': 'fred', 'employer': 'slate' }
*
* var defaults = _.partialRight(_.assign, function(a, b) {
* return typeof a == 'undefined' ? b : a;
* });
*
* var object = { 'name': 'barney' };
* defaults(object, { 'name': 'fred', 'employer': 'slate' });
* // => { 'name': 'barney', 'employer': 'slate' }
*/
var assign = function(object, source, guard) {
var index, iterable = object, result = iterable;
if (!iterable) return result;
var args = arguments,
argsIndex = 0,
argsLength = typeof guard == 'number' ? 2 : args.length;
if (argsLength > 3 && typeof args[argsLength - 2] == 'function') {
var callback = baseCreateCallback(args[--argsLength - 1], args[argsLength--], 2);
} else if (argsLength > 2 && typeof args[argsLength - 1] == 'function') {
callback = args[--argsLength];
}
while (++argsIndex < argsLength) {
iterable = args[argsIndex];
if (iterable && objectTypes[typeof iterable]) {
var ownIndex = -1,
ownProps = objectTypes[typeof iterable] && keys(iterable),
length = ownProps ? ownProps.length : 0;
while (++ownIndex < length) {
index = ownProps[ownIndex];
result[index] = callback ? callback(result[index], iterable[index]) : iterable[index];
}
}
}
return result
};
/**
* Creates a clone of `value`. If `isDeep` is `true` nested objects will also
* be cloned, otherwise they will be assigned by reference. If a callback
* is provided it will be executed to produce the cloned values. If the
* callback returns `undefined` cloning will be handled by the method instead.
* The callback is bound to `thisArg` and invoked with one argument; (value).
*
* @static
* @memberOf _
* @category Objects
* @param {*} value The value to clone.
* @param {boolean} [isDeep=false] Specify a deep clone.
* @param {Function} [callback] The function to customize cloning values.
* @param {*} [thisArg] The `this` binding of `callback`.
* @returns {*} Returns the cloned value.
* @example
*
* var characters = [
* { 'name': 'barney', 'age': 36 },
* { 'name': 'fred', 'age': 40 }
* ];
*
* var shallow = _.clone(characters);
* shallow[0] === characters[0];
* // => true
*
* var deep = _.clone(characters, true);
* deep[0] === characters[0];
* // => false
*
* _.mixin({
* 'clone': _.partialRight(_.clone, function(value) {
* return _.isElement(value) ? value.cloneNode(false) : undefined;
* })
* });
*
* var clone = _.clone(document.body);
* clone.childNodes.length;
* // => 0
*/
function clone(value, isDeep, callback, thisArg) {
// allows working with "Collections" methods without using their `index`
// and `collection` arguments for `isDeep` and `callback`
if (typeof isDeep != 'boolean' && isDeep != null) {
thisArg = callback;
callback = isDeep;
isDeep = false;
}
return baseClone(value, isDeep, typeof callback == 'function' && baseCreateCallback(callback, thisArg, 1));
}
/**
* Creates a deep clone of `value`. If a callback is provided it will be
* executed to produce the cloned values. If the callback returns `undefined`
* cloning will be handled by the method instead. The callback is bound to
* `thisArg` and invoked with one argument; (value).
*
* Note: This method is loosely based on the structured clone algorithm. Functions
* and DOM nodes are **not** cloned. The enumerable properties of `arguments` objects and
* objects created by constructors other than `Object` are cloned to plain `Object` objects.
* See http://www.w3.org/TR/html5/infrastructure.html#internal-structured-cloning-algorithm.
*
* @static
* @memberOf _
* @category Objects
* @param {*} value The value to deep clone.
* @param {Function} [callback] The function to customize cloning values.
* @param {*} [thisArg] The `this` binding of `callback`.
* @returns {*} Returns the deep cloned value.
* @example
*
* var characters = [
* { 'name': 'barney', 'age': 36 },
* { 'name': 'fred', 'age': 40 }
* ];
*
* var deep = _.cloneDeep(characters);
* deep[0] === characters[0];
* // => false
*
* var view = {
* 'label': 'docs',
* 'node': element
* };
*
* var clone = _.cloneDeep(view, function(value) {
* return _.isElement(value) ? value.cloneNode(true) : undefined;
* });
*
* clone.node == view.node;
* // => false
*/
function cloneDeep(value, callback, thisArg) {
return baseClone(value, true, typeof callback == 'function' && baseCreateCallback(callback, thisArg, 1));
}
/**
* Creates an object that inherits from the given `prototype` object. If a
* `properties` object is provided its own enumerable properties are assigned
* to the created object.
*
* @static
* @memberOf _
* @category Objects
* @param {Object} prototype The object to inherit from.
* @param {Object} [properties] The properties to assign to the object.
* @returns {Object} Returns the new object.
* @example
*
* function Shape() {
* this.x = 0;
* this.y = 0;
* }
*
* function Circle() {
* Shape.call(this);
* }
*
* Circle.prototype = _.create(Shape.prototype, { 'constructor': Circle });
*
* var circle = new Circle;
* circle instanceof Circle;
* // => true
*
* circle instanceof Shape;
* // => true
*/
function create(prototype, properties) {
var result = baseCreate(prototype);
return properties ? assign(result, properties) : result;
}
/**
* Assigns own enumerable properties of source object(s) to the destination
* object for all destination properties that resolve to `undefined`. Once a
* property is set, additional defaults of the same property will be ignored.
*
* @static
* @memberOf _
* @type Function
* @category Objects
* @param {Object} object The destination object.
* @param {...Object} [source] The source objects.
* @param- {Object} [guard] Allows working with `_.reduce` without using its
* `key` and `object` arguments as sources.
* @returns {Object} Returns the destination object.
* @example
*
* var object = { 'name': 'barney' };
* _.defaults(object, { 'name': 'fred', 'employer': 'slate' });
* // => { 'name': 'barney', 'employer': 'slate' }
*/
var defaults = function(object, source, guard) {
var index, iterable = object, result = iterable;
if (!iterable) return result;
var args = arguments,
argsIndex = 0,
argsLength = typeof guard == 'number' ? 2 : args.length;
while (++argsIndex < argsLength) {
iterable = args[argsIndex];
if (iterable && objectTypes[typeof iterable]) {
var ownIndex = -1,
ownProps = objectTypes[typeof iterable] && keys(iterable),
length = ownProps ? ownProps.length : 0;
while (++ownIndex < length) {
index = ownProps[ownIndex];
if (typeof result[index] == 'undefined') result[index] = iterable[index];
}
}
}
return result
};
/**
* This method is like `_.findIndex` except that it returns the key of the
* first element that passes the callback check, instead of the element itself.
*
* If a property name is provided for `callback` the created "_.pluck" style
* callback will return the property value of the given element.
*
* If an object is provided for `callback` the created "_.where" style callback
* will return `true` for elements that have the properties of the given object,
* else `false`.
*
* @static
* @memberOf _
* @category Objects
* @param {Object} object The object to search.
* @param {Function|Object|string} [callback=identity] The function called per
* iteration. If a property name or object is provided it will be used to
* create a "_.pluck" or "_.where" style callback, respectively.
* @param {*} [thisArg] The `this` binding of `callback`.
* @returns {string|undefined} Returns the key of the found element, else `undefined`.
* @example
*
* var characters = {
* 'barney': { 'age': 36, 'blocked': false },
* 'fred': { 'age': 40, 'blocked': true },
* 'pebbles': { 'age': 1, 'blocked': false }
* };
*
* _.findKey(characters, function(chr) {
* return chr.age < 40;
* });
* // => 'barney' (property order is not guaranteed across environments)
*
* // using "_.where" callback shorthand
* _.findKey(characters, { 'age': 1 });
* // => 'pebbles'
*
* // using "_.pluck" callback shorthand
* _.findKey(characters, 'blocked');
* // => 'fred'
*/
function findKey(object, callback, thisArg) {
var result;
callback = lodash.createCallback(callback, thisArg, 3);
forOwn(object, function(value, key, object) {
if (callback(value, key, object)) {
result = key;
return false;
}
});
return result;
}
/**
* This method is like `_.findKey` except that it iterates over elements
* of a `collection` in the opposite order.
*
* If a property name is provided for `callback` the created "_.pluck" style
* callback will return the property value of the given element.
*
* If an object is provided for `callback` the created "_.where" style callback
* will return `true` for elements that have the properties of the given object,
* else `false`.
*
* @static
* @memberOf _
* @category Objects
* @param {Object} object The object to search.
* @param {Function|Object|string} [callback=identity] The function called per
* iteration. If a property name or object is provided it will be used to
* create a "_.pluck" or "_.where" style callback, respectively.
* @param {*} [thisArg] The `this` binding of `callback`.
* @returns {string|undefined} Returns the key of the found element, else `undefined`.
* @example
*
* var characters = {
* 'barney': { 'age': 36, 'blocked': true },
* 'fred': { 'age': 40, 'blocked': false },
* 'pebbles': { 'age': 1, 'blocked': true }
* };
*
* _.findLastKey(characters, function(chr) {
* return chr.age < 40;
* });
* // => returns `pebbles`, assuming `_.findKey` returns `barney`
*
* // using "_.where" callback shorthand
* _.findLastKey(characters, { 'age': 40 });
* // => 'fred'
*
* // using "_.pluck" callback shorthand
* _.findLastKey(characters, 'blocked');
* // => 'pebbles'
*/
function findLastKey(object, callback, thisArg) {
var result;
callback = lodash.createCallback(callback, thisArg, 3);
forOwnRight(object, function(value, key, object) {
if (callback(value, key, object)) {
result = key;
return false;
}
});
return result;
}
/**
* Iterates over own and inherited enumerable properties of an object,
* executing the callback for each property. The callback is bound to `thisArg`
* and invoked with three arguments; (value, key, object). Callbacks may exit
* iteration early by explicitly returning `false`.
*
* @static
* @memberOf _
* @type Function
* @category Objects
* @param {Object} object The object to iterate over.
* @param {Function} [callback=identity] The function called per iteration.
* @param {*} [thisArg] The `this` binding of `callback`.
* @returns {Object} Returns `object`.
* @example
*
* function Shape() {
* this.x = 0;
* this.y = 0;
* }
*
* Shape.prototype.move = function(x, y) {
* this.x += x;
* this.y += y;
* };
*
* _.forIn(new Shape, function(value, key) {
* console.log(key);
* });
* // => logs 'x', 'y', and 'move' (property order is not guaranteed across environments)
*/
var forIn = function(collection, callback, thisArg) {
var index, iterable = collection, result = iterable;
if (!iterable) return result;
if (!objectTypes[typeof iterable]) return result;
callback = callback && typeof thisArg == 'undefined' ? callback : baseCreateCallback(callback, thisArg, 3);
for (index in iterable) {
if (callback(iterable[index], index, collection) === false) return result;
}
return result
};
/**
* This method is like `_.forIn` except that it iterates over elements
* of a `collection` in the opposite order.
*
* @static
* @memberOf _
* @category Objects
* @param {Object} object The object to iterate over.
* @param {Function} [callback=identity] The function called per iteration.
* @param {*} [thisArg] The `this` binding of `callback`.
* @returns {Object} Returns `object`.
* @example
*
* function Shape() {
* this.x = 0;
* this.y = 0;
* }
*
* Shape.prototype.move = function(x, y) {
* this.x += x;
* this.y += y;
* };
*
* _.forInRight(new Shape, function(value, key) {
* console.log(key);
* });
* // => logs 'move', 'y', and 'x' assuming `_.forIn ` logs 'x', 'y', and 'move'
*/
function forInRight(object, callback, thisArg) {
var pairs = [];
forIn(object, function(value, key) {
pairs.push(key, value);
});
var length = pairs.length;
callback = baseCreateCallback(callback, thisArg, 3);
while (length--) {
if (callback(pairs[length--], pairs[length], object) === false) {
break;
}
}
return object;
}
/**
* Iterates over own enumerable properties of an object, executing the callback
* for each property. The callback is bound to `thisArg` and invoked with three
* arguments; (value, key, object). Callbacks may exit iteration early by
* explicitly returning `false`.
*
* @static
* @memberOf _
* @type Function
* @category Objects
* @param {Object} object The object to iterate over.
* @param {Function} [callback=identity] The function called per iteration.
* @param {*} [thisArg] The `this` binding of `callback`.
* @returns {Object} Returns `object`.
* @example
*
* _.forOwn({ '0': 'zero', '1': 'one', 'length': 2 }, function(num, key) {
* console.log(key);
* });
* // => logs '0', '1', and 'length' (property order is not guaranteed across environments)
*/
var forOwn = function(collection, callback, thisArg) {
var index, iterable = collection, result = iterable;
if (!iterable) return result;
if (!objectTypes[typeof iterable]) return result;
callback = callback && typeof thisArg == 'undefined' ? callback : baseCreateCallback(callback, thisArg, 3);
var ownIndex = -1,
ownProps = objectTypes[typeof iterable] && keys(iterable),
length = ownProps ? ownProps.length : 0;
while (++ownIndex < length) {
index = ownProps[ownIndex];
if (callback(iterable[index], index, collection) === false) return result;
}
return result
};
/**
* This method is like `_.forOwn` except that it iterates over elements
* of a `collection` in the opposite order.
*
* @static
* @memberOf _
* @category Objects
* @param {Object} object The object to iterate over.
* @param {Function} [callback=identity] The function called per iteration.
* @param {*} [thisArg] The `this` binding of `callback`.
* @returns {Object} Returns `object`.
* @example
*
* _.forOwnRight({ '0': 'zero', '1': 'one', 'length': 2 }, function(num, key) {
* console.log(key);
* });
* // => logs 'length', '1', and '0' assuming `_.forOwn` logs '0', '1', and 'length'
*/
function forOwnRight(object, callback, thisArg) {
var props = keys(object),
length = props.length;
callback = baseCreateCallback(callback, thisArg, 3);
while (length--) {
var key = props[length];
if (callback(object[key], key, object) === false) {
break;
}
}
return object;
}
/**
* Creates a sorted array of property names of all enumerable properties,
* own and inherited, of `object` that have function values.
*
* @static
* @memberOf _
* @alias methods
* @category Objects
* @param {Object} object The object to inspect.
* @returns {Array} Returns an array of property names that have function values.
* @example
*
* _.functions(_);
* // => ['all', 'any', 'bind', 'bindAll', 'clone', 'compact', 'compose', ...]
*/
function functions(object) {
var result = [];
forIn(object, function(value, key) {
if (isFunction(value)) {
result.push(key);
}
});
return result.sort();
}
/**
* Checks if the specified property name exists as a direct property of `object`,
* instead of an inherited property.
*
* @static
* @memberOf _
* @category Objects
* @param {Object} object The object to inspect.
* @param {string} key The name of the property to check.
* @returns {boolean} Returns `true` if key is a direct property, else `false`.
* @example
*
* _.has({ 'a': 1, 'b': 2, 'c': 3 }, 'b');
* // => true
*/
function has(object, key) {
return object ? hasOwnProperty.call(object, key) : false;
}
/**
* Creates an object composed of the inverted keys and values of the given object.
*
* @static
* @memberOf _
* @category Objects
* @param {Object} object The object to invert.
* @returns {Object} Returns the created inverted object.
* @example
*
* _.invert({ 'first': 'fred', 'second': 'barney' });
* // => { 'fred': 'first', 'barney': 'second' }
*/
function invert(object) {
var index = -1,
props = keys(object),
length = props.length,
result = {};
while (++index < length) {
var key = props[index];
result[object[key]] = key;
}
return result;
}
/**
* Checks if `value` is a boolean value.
*
* @static
* @memberOf _
* @category Objects
* @param {*} value The value to check.
* @returns {boolean} Returns `true` if the `value` is a boolean value, else `false`.
* @example
*
* _.isBoolean(null);
* // => false
*/
function isBoolean(value) {
return value === true || value === false ||
value && typeof value == 'object' && toString.call(value) == boolClass || false;
}
/**
* Checks if `value` is a date.
*
* @static
* @memberOf _
* @category Objects
* @param {*} value The value to check.
* @returns {boolean} Returns `true` if the `value` is a date, else `false`.
* @example
*
* _.isDate(new Date);
* // => true
*/
function isDate(value) {
return value && typeof value == 'object' && toString.call(value) == dateClass || false;
}
/**
* Checks if `value` is a DOM element.
*
* @static
* @memberOf _
* @category Objects
* @param {*} value The value to check.
* @returns {boolean} Returns `true` if the `value` is a DOM element, else `false`.
* @example
*
* _.isElement(document.body);
* // => true
*/
function isElement(value) {
return value && value.nodeType === 1 || false;
}
/**
* Checks if `value` is empty. Arrays, strings, or `arguments` objects with a
* length of `0` and objects with no own enumerable properties are considered
* "empty".
*
* @static
* @memberOf _
* @category Objects
* @param {Array|Object|string} value The value to inspect.
* @returns {boolean} Returns `true` if the `value` is empty, else `false`.
* @example
*
* _.isEmpty([1, 2, 3]);
* // => false
*
* _.isEmpty({});
* // => true
*
* _.isEmpty('');
* // => true
*/
function isEmpty(value) {
var result = true;
if (!value) {
return result;
}
var className = toString.call(value),
length = value.length;
if ((className == arrayClass || className == stringClass || className == argsClass ) ||
(className == objectClass && typeof length == 'number' && isFunction(value.splice))) {
return !length;
}
forOwn(value, function() {
return (result = false);
});
return result;
}
/**
* Performs a deep comparison between two values to determine if they are
* equivalent to each other. If a callback is provided it will be executed
* to compare values. If the callback returns `undefined` comparisons will
* be handled by the method instead. The callback is bound to `thisArg` and
* invoked with two arguments; (a, b).
*
* @static
* @memberOf _
* @category Objects
* @param {*} a The value to compare.
* @param {*} b The other value to compare.
* @param {Function} [callback] The function to customize comparing values.
* @param {*} [thisArg] The `this` binding of `callback`.
* @returns {boolean} Returns `true` if the values are equivalent, else `false`.
* @example
*
* var object = { 'name': 'fred' };
* var copy = { 'name': 'fred' };
*
* object == copy;
* // => false
*
* _.isEqual(object, copy);
* // => true
*
* var words = ['hello', 'goodbye'];
* var otherWords = ['hi', 'goodbye'];
*
* _.isEqual(words, otherWords, function(a, b) {
* var reGreet = /^(?:hello|hi)$/i,
* aGreet = _.isString(a) && reGreet.test(a),
* bGreet = _.isString(b) && reGreet.test(b);
*
* return (aGreet || bGreet) ? (aGreet == bGreet) : undefined;
* });
* // => true
*/
function isEqual(a, b, callback, thisArg) {
return baseIsEqual(a, b, typeof callback == 'function' && baseCreateCallback(callback, thisArg, 2));
}
/**
* Checks if `value` is, or can be coerced to, a finite number.
*
* Note: This is not the same as native `isFinite` which will return true for
* booleans and e
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