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Raw
README.md

This version may break your browser because of the crazy amount of cells I'm rendering with SVG. I just wanted to see what the matrices looked like.

I believe I'm also doing something slightly wrong, I'm populating the off-diagonal values as if they are symmetric. I believe some of these matrices are not symemetric so it doesn't always render. This is mostly just to see what it might look like. The matrix could probably be efficiently rendered with canvas or even webgl.

I saw this list of sparse matrices and thought they could be thrown right into a d3 force layout.

I made a small script to process and host the "MM" formatted matrices to a d3 friendly JSON format.

I'd like to add more matrices from the list, and try to adapt this to webgl.

Built with blockbuilder.org

forked from enjalot's block: sparse matrix zoo: canvas

forked from enjalot's block: sparse matrix zoo: canvas

Raw
can_61.json
{"info":"%-------------------------------------------------------------------------------\n%%MatrixMarket matrix coordinate pattern symmetric\n%-------------------------------------------------------------------------------\n% UF Sparse Matrix Collection, Tim Davis\n% http://www.cise.ufl.edu/research/sparse/matrices/HB/can_61\n% name: HB/can_61\n% [SYMMETRIC PATTERN FROM CANNES,LUCIEN MARRO,JUNE 1981.]\n% id: 102\n% date: 1981\n% author: L. Marro\n% ed: I. Duff, R. Grimes, J. Lewis\n% fields: title A name id date author ed kind\n% kind: structural problem\n","meta":{"rows":"61","cols":"61","value":"61","rowIndex":"source","colIndex":"target"},"data":[{"source":1,"target":1,"value":1},{"source":14,"target":1,"value":1},{"source":16,"target":1,"value":1},{"source":20,"target":1,"value":1},{"source":24,"target":1,"value":1},{"source":25,"target":1,"value":1},{"source":2,"target":2,"value":2},{"source":4,"target":2,"value":2},{"source":14,"target":2,"value":2},{"source":15,"target":2,"value":2},{"source":21,"target":2,"value":2},{"source":22,"target":2,"value":2},{"source":26,"target":2,"value":2},{"source":27,"target":2,"value":2},{"source":28,"target":2,"value":2},{"source":3,"target":3,"value":3},{"source":4,"target":3,"value":3},{"source":16,"target":3,"value":3},{"source":17,"target":3,"value":3},{"source":31,"target":3,"value":3},{"source":32,"target":3,"value":3},{"source":33,"target":3,"value":3},{"source":35,"target":3,"value":3},{"source":36,"target":3,"value":3},{"source":4,"target":4,"value":4},{"source":5,"target":4,"value":4},{"source":7,"target":4,"value":4},{"source":14,"target":4,"value":4},{"source":15,"target":4,"value":4},{"source":16,"target":4,"value":4},{"source":17,"target":4,"value":4},{"source":21,"target":4,"value":4},{"source":22,"target":4,"value":4},{"source":25,"target":4,"value":4},{"source":26,"target":4,"value":4},{"source":27,"target":4,"value":4},{"source":28,"target":4,"value":4},{"source":29,"target":4,"value":4},{"source":31,"target":4,"value":4},{"source":32,"target":4,"value":4},{"source":33,"target":4,"value":4},{"source":34,"target":4,"value":4},{"source":35,"target":4,"value":4},{"source":36,"target":4,"value":4},{"source":37,"target":4,"value":4},{"source":38,"target":4,"value":4},{"source":41,"target":4,"value":4},{"source":5,"target":5,"value":5},{"source":7,"target":5,"value":5},{"source":8,"target":5,"value":5},{"source":15,"target":5,"value":5},{"source":23,"target":5,"value":5},{"source":28,"target":5,"value":5},{"source":29,"target":5,"value":5},{"source":30,"target":5,"value":5},{"source":34,"target":5,"value":5},{"source":37,"target":5,"value":5},{"source":38,"target":5,"value":5},{"source":39,"target":5,"value":5},{"source":43,"target":5,"value":5},{"source":6,"target":6,"value":6},{"source":7,"target":6,"value":6},{"source":17,"target":6,"value":6},{"source":18,"target":6,"value":6},{"source":40,"target":6,"value":6},{"source":41,"target":6,"value":6},{"source":42,"target":6,"value":6},{"source":44,"target":6,"value":6},{"source":45,"target":6,"value":6},{"source":7,"target":7,"value":7},{"source":8,"target":7,"value":7},{"source":10,"target":7,"value":7},{"source":17,"target":7,"value":7},{"source":18,"target":7,"value":7},{"source":34,"target":7,"value":7},{"source":36,"target":7,"value":7},{"source":37,"target":7,"value":7},{"source":38,"target":7,"value":7},{"source":39,"target":7,"value":7},{"source":40,"target":7,"value":7},{"source":41,"target":7,"value":7},{"source":42,"target":7,"value":7},{"source":43,"target":7,"value":7},{"source":44,"target":7,"value":7},{"source":45,"target":7,"value":7},{"source":46,"target":7,"value":7},{"source":47,"target":7,"value":7},{"source":50,"target":7,"value":7},{"source":8,"target":8,"value":8},{"source":10,"target":8,"value":8},{"source":11,"target":8,"value":8},{"source":38,"target":8,"value":8},{"source":39,"target":8,"value":8},{"source":43,"target":8,"value":8},{"source":46,"target":8,"value":8},{"source":47,"target":8,"value":8},{"source":48,"target":8,"value":8},{"source":52,"target":8,"value":8},{"source":9,"target":9,"value":9},{"source":10,"target":9,"value":9},{"source":18,"target":9,"value":9},{"source":19,"target":9,"value":9},{"source":49,"target":9,"value":9},{"source":50,"target":9,"value":9},{"source":51,"target":9,"value":9},{"source":53,"target":9,"value":9},{"source":54,"target":9,"value":9},{"source":10,"target":10,"value":10},{"source":11,"target":10,"value":10},{"source":13,"target":10,"value":10},{"source":18,"target":10,"value":10},{"source":19,"target":10,"value":10},{"source":43,"target":10,"value":10},{"source":45,"target":10,"value":10},{"source":46,"target":10,"value":10},{"source":47,"target":10,"value":10},{"source":48,"target":10,"value":10},{"source":49,"target":10,"value":10},{"source":50,"target":10,"value":10},{"source":51,"target":10,"value":10},{"source":52,"target":10,"value":10},{"source":53,"target":10,"value":10},{"source":54,"target":10,"value":10},{"source":55,"target":10,"value":10},{"source":56,"target":10,"value":10},{"source":59,"target":10,"value":10},{"source":11,"target":11,"value":11},{"source":13,"target":11,"value":11},{"source":47,"target":11,"value":11},{"source":48,"target":11,"value":11},{"source":52,"target":11,"value":11},{"source":55,"target":11,"value":11},{"source":56,"target":11,"value":11},{"source":57,"target":11,"value":11},{"source":61,"target":11,"value":11},{"source":12,"target":12,"value":12},{"source":13,"target":12,"value":12},{"source":19,"target":12,"value":12},{"source":58,"target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Raw
index.html
<!DOCTYPE html>
<head>
<meta charset="utf-8">
<script src="https://cdnjs.cloudflare.com/ajax/libs/d3/3.5.5/d3.min.js"></script>
<script src="matrix.js"></script>
<style>
body {
margin:0;position:fixed;top:0;right:0;bottom:0;left:0;
background-color: #111;
overflow: scroll;
}
svg.force {
width: 480px; height: 100%;
position:absolute;
left: 0px
}
svg.matrix {
height: 100%;
left: 500px;
top: 40px;
position: absolute;
}
canvas {
position:absolute;
}
line {
pointer-events: none;
}
#matrices {
position: absolute;
top: 10px;
left: 10px;
}
</style>
</head>
<body>
<canvas></canvas>
<svg class="force"></svg>
<svg class="matrix"></svg>
<select id="matrices"></select>
<script>
var width = 960/2;
var height = window.innerHeight || 500;
var canvas = d3.select("canvas").node();
canvas.width = width;
canvas.height = height;
var ctx = canvas.getContext("2d");
ctx.globalCompositeOperation = "lighter";
var color = "#8effe8";
var mcolor = d3.scale.linear()
.range(["#232323", color])
d3.json("http://enjalot.github.io/sparse-matrix-zoo/json/list.json", function(err, matrices) {
var startingIndex = 2;
var select = d3.select("#matrices")
select.selectAll("option")
.data(matrices)
.enter().append("option")
.text(function(d) { return d.name })
.filter(function(d,i) { return i == startingIndex })
.attr("selected", true)
select.on("change", function() {
var i = this.selectedIndex;
render(matrices[i].url);
})
render(matrices[startingIndex].url)
var force;
function render(url) {
//var url = "http://enjalot.github.io/sparse-matrix-zoo/json/can_61.json";
d3.json(url, function(err, data) {
console.log(data);
var numNodes = d3.max([+data.meta.rows, +data.meta.cols]);
console.log("numNodes", numNodes);
var nodes = d3.range(numNodes).map(function(d) { return {i: d, value: 0}});
var links = []
data.data.forEach(function(d) {
if(d.source !== d.target) {
// the matrix is 1-indexed
links.push(d)
} else {
nodes[d.source].value = d.value
}
})
console.log("nodes", nodes)
console.log("links",links)
var linkExtent = d3.extent(links, function(d) { return d.value })
var linkScale = d3.scale.sqrt()
.domain(linkExtent)
.range([1, 10])
var nodeExtent = d3.extent(nodes, function(d) { return d.value })
var nodeScale = d3.scale.sqrt()
.domain(nodeExtent)
.range([3, 8])
var colorExtent = d3.extent(linkExtent.concat(nodeExtent).concat([0]))
mcolor.domain(colorExtent)
delete force;
force = d3.layout.force()
.charge(-180)
.linkDistance(40)
.friction(0.8)
.gravity(0.2)
//.linkStrength(0.9)
.linkStrength(function(d) { return linkScale(d.value)/10 })
.size([width, height]);
force
.nodes(nodes)
.links(links)
.start();
function draw() {
ctx.clearRect(0, 0, width, height);
ctx.strokeStyle = "rgba(142, 255, 232, 0.2)";
ctx.lineCap = "round";
links.forEach(function(l) {
ctx.beginPath();
ctx.lineWidth = linkScale(l.value);
ctx.moveTo(l.source.x, l.source.y);
ctx.lineTo(l.target.x, l.target.y);
ctx.stroke();
})
}
var svg = d3.select("svg.force");
var node = svg.selectAll(".node")
.data(nodes)
node.exit().remove();
node
.enter().append("circle")
.attr("class", "node")
.style("fill", function(d) { return color })
node
//.attr("r", 5)
.attr("r", function(d) { return nodeScale(d.value) })
.call(force.drag);
force.on("tick", function() {
draw();
node.attr("cx", function(d) { return d.x; })
.attr("cy", function(d) { return d.y; });
});
var size = 4;
var margin = [1, 1];
var msvg = d3.select("svg.matrix")
// make sure the matrix fits in the svg
.style("width", +data.meta.cols * (size + margin[0]) + 100)
var A = d3.range(+data.meta.rows).map(function(i) {
return d3.range(+data.meta.cols).map(function(j) {
return 0;
})
})
nodes.forEach(function(d) {
A[d.i][d.i] = d.value;
})
links.forEach(function(d) {
A[d.source.i][d.target.i] = d.value;
A[d.target.i][d.source.i] = d.value;
})
var matrix = new d3.svg.matrix()
.data(A)
.cellWidth(size)
.cellHeight(size)
.margin(margin)
matrix.update(msvg) // render the matrix
msvg.selectAll("rect.bg")
.style({
fill: function(d) {
return mcolor(d.data);
}
})
.on("click", function(d) {
console.log(d);
})
})
}
})
</script>
</body>
Raw
matrix.js
d3.layout.matrix = matrixLayout;
d3.svg.matrix = matrixComponent;
function matrixComponent() {
var g;
var data = [[]];
var mapping = [[]];
var nodes = [];
var layout = d3.layout.matrix();
var margin = layout.margin();
var cellWidth = layout.cellWidth();
var cellHeight = layout.cellHeight();
/*
TODO
make scrubbing configurable, per-cell
*/
var dispatch = d3.dispatch("change")
this.update = function(group) {
if(group) g = group;
nodes = layout.nodes(data);
var line = d3.svg.line()
.x(function(d) { return d[0] })
.y(function(d) { return d[1] })
var brackets = g.selectAll("path.bracket")
.data([1, -1])
brackets.enter().append("path").classed("bracket", true)
.attr("d", function(d) {
var nRows = data.length;
var x0 = d * cellWidth/4;
var x1 = -margin[0]/2;
var y0 = -margin[1]/2;
var y1 = (cellHeight + margin[1]) * nRows - margin[1]/2
if(d === 1) {
return line([
[x0, y0],
[x1, y0],
[x1, y1],
[x0, y1]
])
} else {
var dx = (cellWidth + margin[0]) * data[0].length - margin[0]/2
x0 -= margin[0]/2
return line([
[x0 + dx, y0],
[dx, y0],
[dx, y1],
[x0 + dx, y1]
])
}
}).attr({
stroke: "#111",
fill: "none"
})
var cells = g.selectAll("g.number")
.data(nodes, function(d) { return d.index })
cells.exit().remove();
var enter = cells.enter().append("g").classed("number", true)
enter.append("rect").classed("bg", true)
cells.select("rect.bg")
.attr({
width: cellWidth,
height: cellHeight,
x: function(d) { return d.x },
y: function(d) { return d.y },
fill: "#fff"
})
/*
enter.append("text")
cells.select("text").attr({
x: function(d) { return d.x + cellWidth/2 },
y: function(d) { return d.y + cellHeight/2 },
"alignment-baseline": "middle",
"text-anchor": "middle",
"line-height": cellHeight,
"fill": "#091242"
}).text(function(d) { return d.data })
*/
/*
var step = 0.1;
var that = this;
var drag = d3.behavior.drag()
.on("drag", function(d) {
var oldData = d.data;
var val = d.data + d3.event.dx * step
val = +(Math.round(val*10)/10).toFixed(1)
set(val, d.i, d.j);
//data[d.i][d.j] = val;
that.update()
dispatch.change(d, oldData)
})
cells.call(drag)
*/
return this;
}
function set(val, i, j) {
var m = mapping[i][j];
if(m){
mapping.forEach(function(row, mi) {
row.forEach(function(col, mj) {
if(col === m) {
data[mi][mj] = val;
}
})
})
}
data[i][j] = val;
}
this.mapping = function(val) {
if(val) {
// TODO make sure dims match
mapping = val;
return this;
}
return mapping;
}
this.data = function(val) {
if(val) {
data = val;
nodes = layout.nodes(data);
return this;
}
return data;
}
this.margin = function(val) {
if(val) {
margin = val;
layout.margin(margin);
return this;
}
return margin;
}
this.cellWidth = function(val) {
if(val) {
cellWidth = val;
layout.cellWidth(cellWidth);
return this;
}
return cellWidth;
}
this.cellHeight = function(val) {
if(val) {
cellHeight = val;
layout.cellHeight(cellHeight);
return this;
}
return cellHeight;
}
d3.rebind(this, dispatch, "on")
return this;
}
function matrixLayout() {
/*
We accept our matrix data as a list of rows:
[ [a, b],
[c, d] ]
*/
var data = [[]];
var nodes;
var margin = [0, 0];
var cellWidth = 20;
var cellHeight = 20;
var nRows;
function getX(i) {
return i * (cellWidth + margin[0])
}
function getY(j) {
return j * (cellHeight + margin[1])
}
function newNodes() {
nRows = data.length;
nodes = [];
data.forEach(function(rows,i) {
rows.forEach(function(col, j) {
var node = {
x: getX(j),
y: getY(i),
data: col,
i: i,
j: j,
index: i * nRows + j
}
nodes.push(node);
})
})
}
function calculate() {
nRows = data.length;
data.forEach(function(rows,i) {
rows.forEach(function(col, j) {
var node = nodes[i * nRows + j];
if(!node) return;
node.data = col;
node.x = getX(j);
node.y = getY(i);
})
})
}
this.nodes = function(val) {
if(val) {
this.data(val);
}
return nodes;
}
this.data = function(val) {
if(val) {
if(val.length === data.length && val[0].length === data[0].length) {
// if the same size matrix is being updated,
// just update the values by reference
// the positions shouldn't change
data = val;
calculate();
} else {
data = val;
newNodes();
}
nRows = data.length;
return this;
}
return data;
}
this.margin = function(val) {
if(val) {
margin = val;
calculate();
return this;
}
return margin;
}
this.cellWidth = function(val) {
if(val) {
cellWidth = val;
calculate();
return this;
}
return cellWidth;
}
this.cellHeight = function(val) {
if(val) {
cellHeight = val
calculate();
return this;
}
return cellHeight;
}
return this;
}
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