A cascaded treemap showing the hierarchy computed by a power graph analysis of a graph containing about 50K nodes and 100K links. The resulting treemap contains many flat regions (i.e., regions with many nodes at the same depth).
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May 5, 2017 11:02
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Isolario Powergraph Treemap
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| OFFSET = 1 | |
| HEADER = 0 | |
| svg = d3.select('svg') | |
| width = svg.node().getBoundingClientRect().width | |
| height = svg.node().getBoundingClientRect().height | |
| w = width - 40 | |
| h = height - 40 | |
| treemap = d3.layout.treemap() | |
| .size([w, h]) | |
| .value((node) -> node.value) | |
| .padding([OFFSET+HEADER,OFFSET,OFFSET,OFFSET]) | |
| .sort (a,b) -> | |
| # taller subtrees first, then larger subtrees first | |
| h = d3.ascending(a.height, b.height) | |
| if h is 0 | |
| return d3.ascending(a.value, b.value) | |
| return h | |
| # translate the viewBox to have (0,0) at the center of the vis | |
| svg | |
| .attr | |
| viewBox: "#{-width/2} #{-height/2} #{width} #{height}" | |
| # append a group for zoomable content | |
| zoomable_layer = svg.append('g') | |
| # define a zoom behavior | |
| zoom = d3.behavior.zoom() | |
| .scaleExtent([-Infinity,Infinity]) # min-max zoom | |
| .on 'zoom', () -> | |
| # GEOMETRIC ZOOM | |
| zoomable_layer | |
| .attr | |
| transform: "translate(#{zoom.translate()})scale(#{zoom.scale()})" | |
| # bind the zoom behavior to the main SVG | |
| svg.call(zoom) | |
| # group the visualization | |
| vis = zoomable_layer.append('g') | |
| .attr | |
| transform: "translate(#{-w/2},#{-h/2})" | |
| color = d3.scale.linear() | |
| .domain([0,17]) | |
| .range([d3.hcl(320,0,20), d3.hcl(200,70,80)]) | |
| .interpolate(d3.interpolateHcl) | |
| d3.json 'isolario_power.json', (tree) -> | |
| # needed for sorting | |
| aggregate = (node) -> | |
| if node.children? | |
| node.children.forEach aggregate | |
| node.value = d3.sum node.children, (d) -> d.value | |
| aggregate(tree) | |
| # needed for sorting | |
| compute_height = (node) -> | |
| if node.children? | |
| node.children.forEach compute_height | |
| node.height = 1+d3.max node.children, (d) -> d.height | |
| else | |
| node.height = 0 | |
| compute_height(tree) | |
| data = treemap.nodes(tree) | |
| # needed for the layout (custom algorithm, part I) | |
| compute_heights = (node) -> | |
| if node.children? | |
| node.children.forEach compute_heights | |
| rmax = d3.max node.children, (c) -> c.x+c.dx | |
| rchildren = node.children.filter (d) -> (d.x+d.dx) >= rmax | |
| node.height_r = 1+d3.max rchildren, (d) -> d.height_r | |
| bmax = d3.max node.children, (c) -> c.y+c.dy | |
| bchildren = node.children.filter (d) -> (d.y+d.dy) >= bmax | |
| node.height_b = 1+d3.max bchildren, (d) -> d.height_b | |
| else | |
| node.height_r = 0 | |
| node.height_b = 0 | |
| compute_heights(tree) | |
| # Lu and Fogarty algorithm (sort of) | |
| # walk = (node) -> | |
| # if node.children? and node.children.length > 0 | |
| # node.children.forEach walk | |
| # node.x = d3.min(node.children, (d) -> d.x) | |
| # node.y = d3.min(node.children, (d) -> d.y) | |
| # node.dx = d3.max(node.children, (d) -> d.x+d.dx) - node.x | |
| # node.dy = d3.max(node.children, (d) -> d.y+d.dy) - node.y# + HEADER | |
| # node.x -= OFFSET | |
| # node.y -= OFFSET# + HEADER | |
| # walk(tree) | |
| data.sort (a,b) -> d3.ascending(a.depth, b.depth) | |
| cells = vis.selectAll '.cell' | |
| .data data | |
| cells.enter().append 'rect' | |
| .attr | |
| class: 'cell' | |
| x: (d) -> d.x | |
| y: (d) -> d.y | |
| width: (d) -> | |
| w = d.dx - 2*OFFSET*d.height_r # custom algorithm, part II | |
| return if w < 0 then 0 else w | |
| height: (d) -> | |
| h = d.dy - 2*OFFSET*d.height_b | |
| return if h < 0 then 0 else h | |
| fill: (d) -> color(d.depth) | |
| stroke: (d) -> color(d.depth+0.5) | |
| .classed 'leaf', (d) -> not d.children? or d.children.length is 0 | |
| # labels = vis.selectAll '.label' | |
| # .data data.filter (d) -> d.children? and d.children.length > 0 | |
| # | |
| # labels.enter().append 'text' | |
| # .text (d) -> d.data.name | |
| # .attr | |
| # class: 'label' | |
| # x: (d) -> d.x | |
| # y: (d) -> d.y | |
| # dx: 0.1 | |
| # dy: '1em' |
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| html, body { | |
| padding: 0; | |
| margin: 0; | |
| width: 100%; | |
| height: 100%; | |
| overflow: hidden; | |
| } | |
| svg { | |
| width: 100%; | |
| height: 100%; | |
| background: black; | |
| } | |
| .cell { | |
| stroke-width: 0; | |
| } | |
| .leaf { | |
| stroke-width: 1; | |
| vector-effect: non-scaling-stroke; | |
| } | |
| .label { | |
| font-family: sans-serif; | |
| font-size: 1px; | |
| fill: black; | |
| pointer-events: none; | |
| } |
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| <!DOCTYPE html> | |
| <html> | |
| <head> | |
| <meta charset="utf-8"> | |
| <title>Isolario Powergraph Treemap</title> | |
| <link type="text/css" href="index.css" rel="stylesheet"/> | |
| <script src="http://d3js.org/d3.v3.min.js"></script> | |
| </head> | |
| <body> | |
| <svg></svg> | |
| <script src="index.js"></script> | |
| </body> | |
| </html> |
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| // Generated by CoffeeScript 1.10.0 | |
| (function() { | |
| var HEADER, OFFSET, color, h, height, svg, treemap, vis, w, width, zoom, zoomable_layer; | |
| OFFSET = 0.1; | |
| HEADER = 0; | |
| svg = d3.select('svg'); | |
| width = svg.node().getBoundingClientRect().width; | |
| height = svg.node().getBoundingClientRect().height; | |
| w = width - 40; | |
| h = height - 40; | |
| treemap = d3.layout.treemap().size([w, h]).value(function(node) { | |
| return node.value; | |
| }).padding([OFFSET + HEADER, OFFSET, OFFSET, OFFSET]).sort(function(a, b) { | |
| h = d3.ascending(a.height, b.height); | |
| if (h === 0) { | |
| return d3.ascending(a.value, b.value); | |
| } | |
| return h; | |
| }); | |
| svg.attr({ | |
| viewBox: (-width / 2) + " " + (-height / 2) + " " + width + " " + height | |
| }); | |
| zoomable_layer = svg.append('g'); | |
| zoom = d3.behavior.zoom().scaleExtent([-Infinity, Infinity]).on('zoom', function() { | |
| return zoomable_layer.attr({ | |
| transform: "translate(" + (zoom.translate()) + ")scale(" + (zoom.scale()) + ")" | |
| }); | |
| }); | |
| svg.call(zoom); | |
| vis = zoomable_layer.append('g').attr({ | |
| transform: "translate(" + (-w / 2) + "," + (-h / 2) + ")" | |
| }); | |
| color = d3.scale.linear().domain([0, 17]).range([d3.hcl(320, 0, 20), d3.hcl(200, 70, 80)]).interpolate(d3.interpolateHcl); | |
| d3.json('isolario_power.json', function(tree) { | |
| var aggregate, cells, compute_height, compute_heights, data; | |
| aggregate = function(node) { | |
| if (node.children != null) { | |
| node.children.forEach(aggregate); | |
| return node.value = d3.sum(node.children, function(d) { | |
| return d.value; | |
| }); | |
| } | |
| }; | |
| aggregate(tree); | |
| compute_height = function(node) { | |
| if (node.children != null) { | |
| node.children.forEach(compute_height); | |
| return node.height = 1 + d3.max(node.children, function(d) { | |
| return d.height; | |
| }); | |
| } else { | |
| return node.height = 0; | |
| } | |
| }; | |
| compute_height(tree); | |
| data = treemap.nodes(tree); | |
| compute_heights = function(node) { | |
| var bchildren, bmax, rchildren, rmax; | |
| if (node.children != null) { | |
| node.children.forEach(compute_heights); | |
| rmax = d3.max(node.children, function(c) { | |
| return c.x + c.dx; | |
| }); | |
| rchildren = node.children.filter(function(d) { | |
| return (d.x + d.dx) >= rmax; | |
| }); | |
| node.height_r = 1 + d3.max(rchildren, function(d) { | |
| return d.height_r; | |
| }); | |
| bmax = d3.max(node.children, function(c) { | |
| return c.y + c.dy; | |
| }); | |
| bchildren = node.children.filter(function(d) { | |
| return (d.y + d.dy) >= bmax; | |
| }); | |
| return node.height_b = 1 + d3.max(bchildren, function(d) { | |
| return d.height_b; | |
| }); | |
| } else { | |
| node.height_r = 0; | |
| return node.height_b = 0; | |
| } | |
| }; | |
| compute_heights(tree); | |
| data.sort(function(a, b) { | |
| return d3.ascending(a.depth, b.depth); | |
| }); | |
| cells = vis.selectAll('.cell').data(data); | |
| return cells.enter().append('rect').attr({ | |
| "class": 'cell', | |
| x: function(d) { | |
| return d.x; | |
| }, | |
| y: function(d) { | |
| return d.y; | |
| }, | |
| width: function(d) { | |
| w = d.dx - 2 * OFFSET * d.height_r; | |
| if (w < 0) { | |
| return 0; | |
| } else { | |
| return w; | |
| } | |
| }, | |
| height: function(d) { | |
| h = d.dy - 2 * OFFSET * d.height_b; | |
| if (h < 0) { | |
| return 0; | |
| } else { | |
| return h; | |
| } | |
| }, | |
| fill: function(d) { | |
| return color(d.depth); | |
| }, | |
| stroke: function(d) { | |
| return color(d.depth + 0.5); | |
| } | |
| }).classed('leaf', function(d) { | |
| return (d.children == null) || d.children.length === 0; | |
| }); | |
| }); | |
| }).call(this); |
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| 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