dev/js/src/match/relations.js - KorAP/Kalamar - Gitiles

 /**
  * Parse a relational tree and visualize using arcs.
  *
  * @author Nils Diewald
  */

 define([], function () {
   "use strict";

   var svgNS = "http://www.w3.org/2000/svg";
   var _TermRE = new RegExp("^(?:([^\/]+?)\/)?([^:]+?):(.+?)$");

   return {
     create : function (snippet) {
       return Object.create(this)._init(snippet);
     },

     // Initialize the state of the object
     _init : function (snippet) {

       // Predefine some values
       this._tokens = [];
       this._arcs = []
       this._tokenElements = [];
       this._y = 0;

       // Some configurations
       this.maxArc      = 200; // maximum height of the bezier control point
       this.overlapDiff = 40;  // Difference on overlaps and minimum height for self-refernces
       this.arcDiff     = 15;
       this.anchorDiff  = 8;
       this.anchorStart = 15;
       this.tokenSep    = 30;
       this.xPadding    = 10;
       this.yPadding    = 5;

       // No snippet to process
       if (snippet == undefined || snippet == null)
         return this;

       // Parse the snippet
       var html = document.createElement("div");
       html.innerHTML = snippet;

       // Establish temporary parsing memory
       this.temp = {
         target : {}, // Remember the map id => pos
         edges  : [], // Remember edge definitions
         pos    : 0   // Keep track of the current token position
       };

       // Start parsing from root
       this._parse(0, html.childNodes, undefined);

       // Establish edge list
       var targetMap = this.temp['target'];
       var edges = this.temp['edges'];

       // Iterate over edge lists
       // TODO:
       //   Support spans for anchors!
       for (var i in edges) {
         var edge = edges[i];

         // Check the target identifier
         var targetID = edge.targetID;
         var target = targetMap[targetID];

         if (target != undefined) {

           // Add relation
           this.addRel({
             start : edge.src,
             end : target,
             direction : 'uni',
             label : edge.label
           });
         };
       };

       // Reset parsing memory
       this.temp = {};

       return this;
     },

     // Parse a node of the tree snippet
     _parse : function (parent, children, mark) {

       // Iterate over all child nodes
       for (var i in children) {
         var c = children[i];

         // Element node
         if (c.nodeType == 1) {

           // Node is an identifier
           if (c.hasAttribute('xml:id')) {

             // Remember that pos has this identifier
             // TODO:
             //   Target may be a span!
             this.temp['target'][c.getAttribute('xml:id')] = this.temp['pos'];
           }

           // Node is a relation
           else if (c.hasAttribute('xlink:href')) {
             var label;

             // Get target id
             var target = c.getAttribute('xlink:href').replace(/^#/, "");

             if (c.hasAttribute('xlink:title')) {
               label = this._clean(c.getAttribute('xlink:title'));
             };

             // Remember the defined edge
             // TODO:
             //   src may be a span!
             this.temp['edges'].push({
               label    : label,
               src      : this.temp['pos'],
               targetID : target
             });
           };

           // Go on with child nodes
           if (c.hasChildNodes()) {
             this._parse(0, c.childNodes, mark);
           };
         }

         // Text node
         else if (c.nodeType == 3) {

           // Check, if there is a non-whitespace token
           if (c.nodeValue !== undefined) {
             var str = c.nodeValue.trim();
             if (str !== undefined && str.length > 0) {

               // Add token to token list
               this.addToken(str);

               // Move token position
               this.temp['pos']++;
             };
           };
         }
       };
     },


     // Remove foundry and layer for labels
     _clean : function (title) {
       return title.replace(_TermRE, "$3");
     },


     // Return the number of leaf nodes
     // (not necessarily part of a relation).
     // Consecutive nodes that are not part of any
     // relation are summarized in one node.
     size : function () {
       return this._tokens.length;
     },


     // This is a shorthand for SVG element creation
     _c : function (tag) {
       return document.createElementNS(svgNS, tag);
     },


     // Returns the center point of the requesting token
     _tokenPoint : function (node) {
       var box = node.getBoundingClientRect();
       return box.x + (box.width / 2);
     },


     // Draws an anchor
     _drawAnchor : function (anchor) {

       // Calculate the span of the first and last token, the anchor spans
       var firstBox = this._tokenElements[anchor.first].getBoundingClientRect();
       var lastBox  = this._tokenElements[anchor.last].getBoundingClientRect();

       var startPos = firstBox.left - this.offsetLeft;
       var endPos   = lastBox.right - this.offsetLeft;

       var y = this._y + (anchor.overlaps * this.anchorDiff) - this.anchorStart;

       var l = this._c('path');
       this._arcsElement.appendChild(l);
       l.setAttribute("d", "M " + startPos + "," + y + " L " + endPos + "," + y);
       l.setAttribute("class", "anchor");
       anchor.element = l;
       anchor.y = y;
       return l;
     },


     // Create an arc with an optional label
     // Potentially needs a height parameter for stacks
     _drawArc : function (arc) {

       var startPos, endPos;
       var startY = this._y;
       var endY = this._y;

       if (arc.startAnchor !== undefined) {
         startPos = this._tokenPoint(arc.startAnchor.element);
         startY = arc.startAnchor.y;
       }
       else {
         startPos = this._tokenPoint(this._tokenElements[arc.first]);
       };

       if (arc.endAnchor !== undefined) {
         endPos = this._tokenPoint(arc.endAnchor.element)
         endY = arc.endAnchor.y;
       }
       else {
         endPos = this._tokenPoint(this._tokenElements[arc.last]);
       };

       startPos -= this.offsetLeft;
       endPos -= this.offsetLeft;

       // Special treatment for self-references
       var overlaps = arc.overlaps;
       if (startPos == endPos) {
         startPos -= this.overlapDiff / 3;
         endPos += this.overlapDiff / 3;
         overlaps += .5;
       };

       var g = this._c("g");
       g.setAttribute("class", "arc");
       var p = g.appendChild(this._c("path"));
       p.setAttribute('class', 'edge');

       // Attach the new arc before drawing, so computed values are available
       this._arcsElement.appendChild(g);

       // Create arc
       var middle = Math.abs(endPos - startPos) / 2;

       // TODO:
       //   take the number of tokens into account!
       var cHeight = this.arcDiff + (overlaps * this.overlapDiff) + (middle / 2);

       // Respect the maximum height
       cHeight = cHeight < this.maxArc ? cHeight : this.maxArc;

       var x = Math.min(startPos, endPos);

       //var controlY = (startY + endY - cHeight);
       var controlY = (endY - cHeight);

       var arcE = "M "+ startPos + "," + startY +
           " C " + startPos + "," + controlY +
           " " + endPos + "," + controlY +
           " " + endPos + "," + endY;

       p.setAttribute("d", arcE);

       if (arc.direction !== undefined) {
         p.setAttribute("marker-end", "url(#arr)");
         if (arc.direction === 'bi') {
           p.setAttribute("marker-start", "url(#arr)");
         };
       };

       if (arc.label === undefined)
         return g;

       /*
        * Calculate the top point of the arc for labeling using
        * de Casteljau's algorithm, see e.g.
        * http://blog.sklambert.com/finding-the-control-points-of-a-bezier-curve/
        * of course simplified to symmetric arcs ...
        */
       // Interpolate one side of the control polygon
       var middleY = (((startY + controlY) / 2) + controlY) / 2;

       // Create a boxed label
       var labelE = g.appendChild(this._c("text"));
       labelE.setAttribute("x", x + middle);
       labelE.setAttribute("y", middleY + 3);
       labelE.setAttribute("text-anchor", "middle");
       var textNode = document.createTextNode(arc.label);
       labelE.appendChild(textNode);

       var labelBox   = labelE.getBBox();
       var textWidth  = labelBox.width; // labelE.getComputedTextLength();
       var textHeight = labelBox.height; // labelE.getComputedTextLength();

       // Add box with padding to left and right
       var labelR = g.insertBefore(this._c("rect"), labelE);
       var boxWidth = textWidth + 2 * this.xPadding;
       labelR.setAttribute("x", x + middle - (boxWidth / 2));
       labelR.setAttribute("ry", 5);
       labelR.setAttribute("y", labelBox.y - this.yPadding);
       labelR.setAttribute("width", boxWidth);
       labelR.setAttribute("height", textHeight + 2 * this.yPadding);
     },

     // Get the svg element
     element : function () {
       if (this._element !== undefined)
         return this._element;

       // Create svg
       var svg = this._c("svg");

       window.addEventListener("resize", function () {
         // TODO:
         //   Only if text-size changed!
         // TODO:
         //   This is currently untested
         this.show();
       }.bind(this));

       // Define marker arrows
       var defs = svg.appendChild(this._c("defs"));
       var marker = defs.appendChild(this._c("marker"));
       marker.setAttribute("refX", 9);
       marker.setAttribute("id", "arr");
       marker.setAttribute("orient", "auto-start-reverse");
       marker.setAttribute("markerUnits","userSpaceOnUse");
       var arrow = this._c("path");
       arrow.setAttribute("transform", "scale(0.8)");
       arrow.setAttribute("d", "M 0,-5 0,5 10,0 Z");
       marker.appendChild(arrow);

       this._element = svg;
       return this._element;
     },

     // Add a relation with a start, an end,
     // a direction value and an optional label text
     addRel : function (rel) {
       this._arcs.push(rel);
       return this;
     },


     // Add a token to the list (this will mostly be a word)
     addToken : function(token) {
       this._tokens.push(token);
       return this;
     },

     /*
      * All arcs need to be sorted before shown,
      * to avoid nesting.
      */
     _sortArcs : function () {

       // TODO:
       //   Keep in mind that the arcs may have long anchors!
       //   1. Iterate over all arcs
       //   2. Sort all multi
       var anchors = [];

       // 1. Sort by length
       // 2. Tag all spans with the number of overlaps before
       //    a) Iterate over all spans
       //    b) check the latest preceeding overlapping span (lpos)
       //       -> not found: tag with 0
       //       -> found: Add +1 to the level of the (lpos)
       //    c) If the new tag is smaller than the previous element,
       //       reorder

       // Normalize start and end
       var sortedArcs = this._arcs.map(function (v) {

         // Check for long anchors
         if (v.start instanceof Array) {
           var middle = Math.ceil(Math.abs(v.start[1] - v.start[0]) / 2) + v.start[0];

           v.startAnchor = {
             "first":   v.start[0],
             "last" :   v.start[1],
             "length" : v.start[1] - v.start[0]
           };

           // Add to anchors list
           anchors.push(v.startAnchor);
           v.start = middle;
         };

         if (v.end instanceof Array) {
           var middle = Math.abs(v.end[0] - v.end[1]) + v.end[0];
           v.endAnchor = {
             "first":   v.end[0],
             "last" :   v.end[1],
             "length" : v.end[1] - v.end[0]
           };

           // Add to anchors list
           anchors.push(v.endAnchor);
           v.end = middle;
         };

         // calculate the arch length
         if (v.start < v.end) {
           v.first = v.start;
           v.last = v.end;
           v.length = v.end - v.start;
         }
         else {
           v.first = v.end;
           v.last = v.start;
           v.length = v.start - v.end;
         };
         return v;
       });

       // Sort based on length
       sortedArcs.sort(function (a, b) {
         if (a.length < b.length)
           return -1;
         else
           return 1;
       });

       this._sortedArcs    = lengthSort(sortedArcs, false);
       this._sortedAnchors = lengthSort(anchors, true);
     },


     // Show the element
     show : function () {
       var svg = this._element;
       var height = this.maxArc;

       // Delete old group
       if (svg.getElementsByTagName("g")[0] !== undefined) {
         var group = svg.getElementsByTagName("g")[0];
         svg.removeChild(group);
         this._tokenElements = [];
       };

       var g = svg.appendChild(this._c("g"));

       // Draw token list
       var text = g.appendChild(this._c("text"));
       text.setAttribute('class', 'leaf');
       text.setAttribute("text-anchor", "start");
       text.setAttribute("y", height);

       // Calculate the start position
       this._y = height - (this.anchorStart);

       // Introduce some prepending whitespace (yeah - I know ...)
       var ws = text.appendChild(this._c("tspan"));
       ws.appendChild(document.createTextNode('\u00A0'));
       ws.style.textAnchor = "start";

       var lastRight = 0;
       for (var node_i in this._tokens) {
         // Append svg
         var tspan = text.appendChild(this._c("tspan"));
         tspan.appendChild(document.createTextNode(this._tokens[node_i]));
         tspan.setAttribute("text-anchor", "middle");

         this._tokenElements.push(tspan);

         // Add whitespace!
         tspan.setAttribute("dx", this.tokenSep);
       };

       // Get some global position data that may change on resize
       var globalBoundingBox = g.getBoundingClientRect();
       this.offsetLeft = globalBoundingBox.left;

       // The group of arcs
       var arcs = g.appendChild(this._c("g"));
       this._arcsElement = arcs;
       arcs.classList.add("arcs");

       // Sort arcs if not sorted yet
       if (this._sortedArcs === undefined)
         this._sortArcs();

       // 1. Draw all anchors
       var i;
       for (i in this._sortedAnchors) {
         this._drawAnchor(this._sortedAnchors[i]);
       };

       // 2. Draw all arcs
       for (i in this._sortedArcs) {
         this._drawArc(this._sortedArcs[i]);
       };

       // Resize the svg with some reasonable margins
       var width = text.getBoundingClientRect().width;
       svg.setAttribute("width", width + 20);
       svg.setAttribute("height", height + 20);
       svg.setAttribute("class", "relTree");
     }
   };

   // Sort relations regarding their span
   function lengthSort (list, inclusive) {

     /*
      * The "inclusive" flag allows to
      * modify the behaviour for inclusivity check,
      * e.g. if identical start or endpoints mean overlap or not.
      */

     var stack = [];

     // Iterate over all definitions
     for (var i = 0; i < list.length; i++) {
       var current = list[i];

       // Check the stack order
       var overlaps = 0;
       for (var j = (stack.length - 1); j >= 0; j--) {
         var check = stack[j];

         // (a..(b..b)..a)
         if (current.first <= check.first && current.last >= check.last) {
           overlaps = check.overlaps + 1;
           break;
         }

         // (a..(b..a)..b)
         else if (current.first <= check.first && current.last >= check.first) {

           if (inclusive || (current.first != check.first && current.last != check.first)) {
             overlaps = check.overlaps + (current.length == check.length ? 0 : 1);
           };
         }

         // (b..(a..b)..a)
         else if (current.first <= check.last && current.last >= check.last) {

           if (inclusive || (current.first != check.last && current.last != check.last)) {
             overlaps = check.overlaps + (current.length == check.length ? 0 : 1);
           };
         };
       };

       // Set overlaps
       current.overlaps = overlaps;

       stack.push(current);

       // Although it is already sorted,
       // the new item has to be put at the correct place
       // TODO:
       //   Use something like splice() instead
       stack.sort(function (a,b) {
         b.overlaps - a.overlaps
       });
     };

     return stack;
   };
 });
	/**
	* Parse a relational tree and visualize using arcs.
	*
	* @author Nils Diewald
	*/

	define([], function () {
	"use strict";

	var svgNS = "http://www.w3.org/2000/svg";
	var _TermRE = new RegExp("^(?:([^\/]+?)\/)?([^:]+?):(.+?)$");

	return {
	create : function (snippet) {
	return Object.create(this)._init(snippet);
	},

	// Initialize the state of the object
	_init : function (snippet) {

	// Predefine some values
	this._tokens = [];
	this._arcs = []
	this._tokenElements = [];
	this._y = 0;

	// Some configurations
	this.maxArc = 200; // maximum height of the bezier control point
	this.overlapDiff = 40; // Difference on overlaps and minimum height for self-refernces
	this.arcDiff = 15;
	this.anchorDiff = 8;
	this.anchorStart = 15;
	this.tokenSep = 30;
	this.xPadding = 10;
	this.yPadding = 5;

	// No snippet to process
	if (snippet == undefined \|\| snippet == null)
	return this;

	// Parse the snippet
	var html = document.createElement("div");
	html.innerHTML = snippet;

	// Establish temporary parsing memory
	this.temp = {
	target : {}, // Remember the map id => pos
	edges : [], // Remember edge definitions
	pos : 0 // Keep track of the current token position
	};

	// Start parsing from root
	this._parse(0, html.childNodes, undefined);

	// Establish edge list
	var targetMap = this.temp['target'];
	var edges = this.temp['edges'];

	// Iterate over edge lists
	// TODO:
	// Support spans for anchors!
	for (var i in edges) {
	var edge = edges[i];

	// Check the target identifier
	var targetID = edge.targetID;
	var target = targetMap[targetID];

	if (target != undefined) {

	// Add relation
	this.addRel({
	start : edge.src,
	end : target,
	direction : 'uni',
	label : edge.label
	});
	};
	};

	// Reset parsing memory
	this.temp = {};

	return this;
	},

	// Parse a node of the tree snippet
	_parse : function (parent, children, mark) {

	// Iterate over all child nodes
	for (var i in children) {
	var c = children[i];

	// Element node
	if (c.nodeType == 1) {

	// Node is an identifier
	if (c.hasAttribute('xml:id')) {

	// Remember that pos has this identifier
	// TODO:
	// Target may be a span!
	this.temp['target'][c.getAttribute('xml:id')] = this.temp['pos'];
	}

	// Node is a relation
	else if (c.hasAttribute('xlink:href')) {
	var label;

	// Get target id
	var target = c.getAttribute('xlink:href').replace(/^#/, "");

	if (c.hasAttribute('xlink:title')) {
	label = this._clean(c.getAttribute('xlink:title'));
	};

	// Remember the defined edge
	// TODO:
	// src may be a span!
	this.temp['edges'].push({
	label : label,
	src : this.temp['pos'],
	targetID : target
	});
	};

	// Go on with child nodes
	if (c.hasChildNodes()) {
	this._parse(0, c.childNodes, mark);
	};
	}

	// Text node
	else if (c.nodeType == 3) {

	// Check, if there is a non-whitespace token
	if (c.nodeValue !== undefined) {
	var str = c.nodeValue.trim();
	if (str !== undefined && str.length > 0) {

	// Add token to token list
	this.addToken(str);

	// Move token position
	this.temp['pos']++;
	};
	};
	}
	};
	},


	// Remove foundry and layer for labels
	_clean : function (title) {
	return title.replace(_TermRE, "$3");
	},


	// Return the number of leaf nodes
	// (not necessarily part of a relation).
	// Consecutive nodes that are not part of any
	// relation are summarized in one node.
	size : function () {
	return this._tokens.length;
	},


	// This is a shorthand for SVG element creation
	_c : function (tag) {
	return document.createElementNS(svgNS, tag);
	},


	// Returns the center point of the requesting token
	_tokenPoint : function (node) {
	var box = node.getBoundingClientRect();
	return box.x + (box.width / 2);
	},


	// Draws an anchor
	_drawAnchor : function (anchor) {

	// Calculate the span of the first and last token, the anchor spans
	var firstBox = this._tokenElements[anchor.first].getBoundingClientRect();
	var lastBox = this._tokenElements[anchor.last].getBoundingClientRect();

	var startPos = firstBox.left - this.offsetLeft;
	var endPos = lastBox.right - this.offsetLeft;

	var y = this._y + (anchor.overlaps * this.anchorDiff) - this.anchorStart;

	var l = this._c('path');
	this._arcsElement.appendChild(l);
	l.setAttribute("d", "M " + startPos + "," + y + " L " + endPos + "," + y);
	l.setAttribute("class", "anchor");
	anchor.element = l;
	anchor.y = y;
	return l;
	},


	// Create an arc with an optional label
	// Potentially needs a height parameter for stacks
	_drawArc : function (arc) {

	var startPos, endPos;
	var startY = this._y;
	var endY = this._y;

	if (arc.startAnchor !== undefined) {
	startPos = this._tokenPoint(arc.startAnchor.element);
	startY = arc.startAnchor.y;
	}
	else {
	startPos = this._tokenPoint(this._tokenElements[arc.first]);
	};

	if (arc.endAnchor !== undefined) {
	endPos = this._tokenPoint(arc.endAnchor.element)
	endY = arc.endAnchor.y;
	}
	else {
	endPos = this._tokenPoint(this._tokenElements[arc.last]);
	};

	startPos -= this.offsetLeft;
	endPos -= this.offsetLeft;

	// Special treatment for self-references
	var overlaps = arc.overlaps;
	if (startPos == endPos) {
	startPos -= this.overlapDiff / 3;
	endPos += this.overlapDiff / 3;
	overlaps += .5;
	};

	var g = this._c("g");
	g.setAttribute("class", "arc");
	var p = g.appendChild(this._c("path"));
	p.setAttribute('class', 'edge');

	// Attach the new arc before drawing, so computed values are available
	this._arcsElement.appendChild(g);

	// Create arc
	var middle = Math.abs(endPos - startPos) / 2;

	// TODO:
	// take the number of tokens into account!
	var cHeight = this.arcDiff + (overlaps * this.overlapDiff) + (middle / 2);

	// Respect the maximum height
	cHeight = cHeight < this.maxArc ? cHeight : this.maxArc;

	var x = Math.min(startPos, endPos);

	//var controlY = (startY + endY - cHeight);
	var controlY = (endY - cHeight);

	var arcE = "M "+ startPos + "," + startY +
	" C " + startPos + "," + controlY +
	" " + endPos + "," + controlY +
	" " + endPos + "," + endY;

	p.setAttribute("d", arcE);

	if (arc.direction !== undefined) {
	p.setAttribute("marker-end", "url(#arr)");
	if (arc.direction === 'bi') {
	p.setAttribute("marker-start", "url(#arr)");
	};
	};

	if (arc.label === undefined)
	return g;

	/*
	* Calculate the top point of the arc for labeling using
	* de Casteljau's algorithm, see e.g.
	* http://blog.sklambert.com/finding-the-control-points-of-a-bezier-curve/
	* of course simplified to symmetric arcs ...
	*/
	// Interpolate one side of the control polygon
	var middleY = (((startY + controlY) / 2) + controlY) / 2;

	// Create a boxed label
	var labelE = g.appendChild(this._c("text"));
	labelE.setAttribute("x", x + middle);
	labelE.setAttribute("y", middleY + 3);
	labelE.setAttribute("text-anchor", "middle");
	var textNode = document.createTextNode(arc.label);
	labelE.appendChild(textNode);

	var labelBox = labelE.getBBox();
	var textWidth = labelBox.width; // labelE.getComputedTextLength();
	var textHeight = labelBox.height; // labelE.getComputedTextLength();

	// Add box with padding to left and right
	var labelR = g.insertBefore(this._c("rect"), labelE);
	var boxWidth = textWidth + 2 * this.xPadding;
	labelR.setAttribute("x", x + middle - (boxWidth / 2));
	labelR.setAttribute("ry", 5);
	labelR.setAttribute("y", labelBox.y - this.yPadding);
	labelR.setAttribute("width", boxWidth);
	labelR.setAttribute("height", textHeight + 2 * this.yPadding);
	},

	// Get the svg element
	element : function () {
	if (this._element !== undefined)
	return this._element;

	// Create svg
	var svg = this._c("svg");

	window.addEventListener("resize", function () {
	// TODO:
	// Only if text-size changed!
	// TODO:
	// This is currently untested
	this.show();
	}.bind(this));

	// Define marker arrows
	var defs = svg.appendChild(this._c("defs"));
	var marker = defs.appendChild(this._c("marker"));
	marker.setAttribute("refX", 9);
	marker.setAttribute("id", "arr");
	marker.setAttribute("orient", "auto-start-reverse");
	marker.setAttribute("markerUnits","userSpaceOnUse");
	var arrow = this._c("path");
	arrow.setAttribute("transform", "scale(0.8)");
	arrow.setAttribute("d", "M 0,-5 0,5 10,0 Z");
	marker.appendChild(arrow);

	this._element = svg;
	return this._element;
	},

	// Add a relation with a start, an end,
	// a direction value and an optional label text
	addRel : function (rel) {
	this._arcs.push(rel);
	return this;
	},


	// Add a token to the list (this will mostly be a word)
	addToken : function(token) {
	this._tokens.push(token);
	return this;
	},

	/*
	* All arcs need to be sorted before shown,
	* to avoid nesting.
	*/
	_sortArcs : function () {

	// TODO:
	// Keep in mind that the arcs may have long anchors!
	// 1. Iterate over all arcs
	// 2. Sort all multi
	var anchors = [];

	// 1. Sort by length
	// 2. Tag all spans with the number of overlaps before
	// a) Iterate over all spans
	// b) check the latest preceeding overlapping span (lpos)
	// -> not found: tag with 0
	// -> found: Add +1 to the level of the (lpos)
	// c) If the new tag is smaller than the previous element,
	// reorder

	// Normalize start and end
	var sortedArcs = this._arcs.map(function (v) {

	// Check for long anchors
	if (v.start instanceof Array) {
	var middle = Math.ceil(Math.abs(v.start[1] - v.start[0]) / 2) + v.start[0];

	v.startAnchor = {
	"first": v.start[0],
	"last" : v.start[1],
	"length" : v.start[1] - v.start[0]
	};

	// Add to anchors list
	anchors.push(v.startAnchor);
	v.start = middle;
	};

	if (v.end instanceof Array) {
	var middle = Math.abs(v.end[0] - v.end[1]) + v.end[0];
	v.endAnchor = {
	"first": v.end[0],
	"last" : v.end[1],
	"length" : v.end[1] - v.end[0]
	};

	// Add to anchors list
	anchors.push(v.endAnchor);
	v.end = middle;
	};

	// calculate the arch length
	if (v.start < v.end) {
	v.first = v.start;
	v.last = v.end;
	v.length = v.end - v.start;
	}
	else {
	v.first = v.end;
	v.last = v.start;
	v.length = v.start - v.end;
	};
	return v;
	});

	// Sort based on length
	sortedArcs.sort(function (a, b) {
	if (a.length < b.length)
	return -1;
	else
	return 1;
	});

	this._sortedArcs = lengthSort(sortedArcs, false);
	this._sortedAnchors = lengthSort(anchors, true);
	},


	// Show the element
	show : function () {
	var svg = this._element;
	var height = this.maxArc;

	// Delete old group
	if (svg.getElementsByTagName("g")[0] !== undefined) {
	var group = svg.getElementsByTagName("g")[0];
	svg.removeChild(group);
	this._tokenElements = [];
	};

	var g = svg.appendChild(this._c("g"));

	// Draw token list
	var text = g.appendChild(this._c("text"));
	text.setAttribute('class', 'leaf');
	text.setAttribute("text-anchor", "start");
	text.setAttribute("y", height);

	// Calculate the start position
	this._y = height - (this.anchorStart);

	// Introduce some prepending whitespace (yeah - I know ...)
	var ws = text.appendChild(this._c("tspan"));
	ws.appendChild(document.createTextNode('\u00A0'));
	ws.style.textAnchor = "start";

	var lastRight = 0;
	for (var node_i in this._tokens) {
	// Append svg
	var tspan = text.appendChild(this._c("tspan"));
	tspan.appendChild(document.createTextNode(this._tokens[node_i]));
	tspan.setAttribute("text-anchor", "middle");

	this._tokenElements.push(tspan);

	// Add whitespace!
	tspan.setAttribute("dx", this.tokenSep);
	};

	// Get some global position data that may change on resize
	var globalBoundingBox = g.getBoundingClientRect();
	this.offsetLeft = globalBoundingBox.left;

	// The group of arcs
	var arcs = g.appendChild(this._c("g"));
	this._arcsElement = arcs;
	arcs.classList.add("arcs");

	// Sort arcs if not sorted yet
	if (this._sortedArcs === undefined)
	this._sortArcs();

	// 1. Draw all anchors
	var i;
	for (i in this._sortedAnchors) {
	this._drawAnchor(this._sortedAnchors[i]);
	};

	// 2. Draw all arcs
	for (i in this._sortedArcs) {
	this._drawArc(this._sortedArcs[i]);
	};

	// Resize the svg with some reasonable margins
	var width = text.getBoundingClientRect().width;
	svg.setAttribute("width", width + 20);
	svg.setAttribute("height", height + 20);
	svg.setAttribute("class", "relTree");
	}
	};

	// Sort relations regarding their span
	function lengthSort (list, inclusive) {

	/*
	* The "inclusive" flag allows to
	* modify the behaviour for inclusivity check,
	* e.g. if identical start or endpoints mean overlap or not.
	*/

	var stack = [];

	// Iterate over all definitions
	for (var i = 0; i < list.length; i++) {
	var current = list[i];

	// Check the stack order
	var overlaps = 0;
	for (var j = (stack.length - 1); j >= 0; j--) {
	var check = stack[j];

	// (a..(b..b)..a)
	if (current.first <= check.first && current.last >= check.last) {
	overlaps = check.overlaps + 1;
	break;
	}

	// (a..(b..a)..b)
	else if (current.first <= check.first && current.last >= check.first) {

	if (inclusive \|\| (current.first != check.first && current.last != check.first)) {
	overlaps = check.overlaps + (current.length == check.length ? 0 : 1);
	};
	}

	// (b..(a..b)..a)
	else if (current.first <= check.last && current.last >= check.last) {

	if (inclusive \|\| (current.first != check.last && current.last != check.last)) {
	overlaps = check.overlaps + (current.length == check.length ? 0 : 1);
	};
	};
	};

	// Set overlaps
	current.overlaps = overlaps;

	stack.push(current);

	// Although it is already sorted,
	// the new item has to be put at the correct place
	// TODO:
	// Use something like splice() instead
	stack.sort(function (a,b) {
	b.overlaps - a.overlaps
	});
	};

	return stack;
	};
	});