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Marriage Sort Visualization
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<!-- Copyright Eric Burnett, 2012.
Based with permission on code by Mike Bostock, from https://github.com/mbostock/bost.ocks.org/tree/gh-pages/mike/shuffle. If you want to re-use this code, email me. I cannot grant all of it.
This gist is the source code for the visualization on http://www.thelowlyprogrammer.com/2012/01/marriage-sort-visualization.html - see there for more details.
-->
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stroke-width: 6px;
}
.play:hover path {
fill: red;
}
.play rect {
fill: none;
pointer-events: all;
cursor: pointer;
}
</style>
<script src="d3.min.js"></script>
<script>
var margin = {top: 10, right: 24, bottom: 10, left: 24},
width = 500,
height = 60 - margin.top - margin.bottom,
size = height * .8;
var n = 60;
var tick = 600,
animate = 450; // Should be a multiple of 3.
var COLOR_IDLE = "#999",
COLOR_DONE = "#000",
COLOR_ANIMATING = "#000",
COLOR_KEY = "red",
COLOR_PARTITION = "#900",
COLOR_KEY_ANIMATING = "red";
var STROKE = "2px",
STROKE_BOLD = "4px";
var x = d3.scale.ordinal()
.domain(d3.range(n))
.rangePoints([0, width]);
var y = d3.scale.linear()
.domain([0, n - 1])
.range([-Math.PI / 6, Math.PI / 6]);
// In place shuffle.
function shuffle(list) {
for (rem = list.length; rem > 0; --rem) {
var next = Math.floor(Math.random() * rem) // [0..rem)
var tmp = list[next]
list[next] = list[rem-1];
list[rem-1] = tmp;
}
return list;
}
// Swap of two lines. Colors can optionally be specified for during the transition,
// however post-transition all lines are made black.
function swap(line, a, b, color_a, color_b) {
if (color_a == undefined) {
color_a = COLOR_ANIMATING;
}
if (color_b == undefined) {
color_b = COLOR_ANIMATING;
}
if (a == b ) {
d3.select(line[0][a])
.style("stroke", COLOR_DONE)
.style("stroke-width", STROKE);
return;
} else if (a > b) {
// Swap indices for simplicity.
var t = b;
b = a;
a = t;
t = color_b;
color_b = color_a;
color_a = t;
}
var b_out = line[0].splice(b, 1)[0],
a_out = line[0].splice(a, 1)[0];
line[0].splice(a, 0, b_out);
line[0].splice(b, 0, a_out);
d3.select(a_out)
.style("stroke", color_a)
.style("stroke-width", STROKE_BOLD)
.transition()
.duration(animate)
.attr("transform", "translate(" + x(b) + ", " + height + ")");
setTimeout(function() {
d3.select(a_out)
.style("stroke", COLOR_DONE)
.style("stroke-width", STROKE);
}, animate);
d3.select(b_out)
.style("stroke", color_b)
.style("stroke-width", STROKE_BOLD)
.transition()
.duration(animate)
.attr("transform", "translate(" + x(a) + ", " + height + ")");
setTimeout(function() {
d3.select(b_out)
.style("stroke", COLOR_DONE)
.style("stroke-width", STROKE);
}, animate);
}
// Remove line at 'src' and place it at 'dst', moving over all the intermediate
// lines in the process. src will end up immediately to the left of the value
// currently in 'dst'.
function insert(line, src, dst) {
if (dst - src == 2) {
swap(line, src, src+1);
return;
} else if (src - dst == 1) {
swap(line, src, dst);
return;
}
var out = line[0].splice(src, 1)[0];
if (src > dst) {
line[0].splice(dst, 0, out);
} else {
line[0].splice(dst-1, 0, out);
}
// Animate primary line:
d3.select(out)
.style("stroke", COLOR_ANIMATING)
.style("stroke-width", STROKE_BOLD)
.transition()
.duration(animate)
.attr("transform", "translate(" + x(src > dst ? dst : dst-1) + ", " + height + ")");
setTimeout(function() {
d3.select(out)
.style("stroke", COLOR_DONE)
.style("stroke-width", STROKE);
}, animate);
// Animate intermediate lines:
var min, max, dir;
if (src > dst) {
min = dst + 1;
max = src;
dir = 1;
} else {
min = src;
max = dst - 1;
dir = -1;
}
var count = max - min + 1;
var mid = (count - 1) / 2;
line.filter(function(d, i) { return i >= min && i <= max; })
.transition()
.duration(animate/3)
.delay(function(d, i) { return animate/3 + animate/6 * (i - mid) / mid * -dir; })
.attr("transform", function(d, i) { return "translate(" + x(min+i) + ", " + height + ")"; });
}
function chart(stage1, stage2) {
var m = n;
// Combat disqus script duplication.
if (d3.selectAll("svg#chart1")[0].length != 0) {
return;
}
var svg = d3.select("div#chart").append("svg")
.attr("width", width + margin.left + margin.right)
.attr("height", height + margin.top + margin.bottom)
.attr("id", "chart1")
.style("margin-left", margin.left + "px")
.style("margin-right", margin.right + "px")
.append("g")
.attr("transform", "translate(" + margin.left + "," + margin.top + ")");
var line = svg.selectAll(".line")
.data(d3.range(n))
.enter().append("line")
.attr("class", "line")
.attr("x2", function(d) { return size * Math.sin(y(d)); })
.attr("y2", function(d) { return -size * Math.cos(y(d)); })
.attr("transform", function(d, i) { return "translate(" + x(i) + "," + height + ")"; });
var play = svg.append("g")
.attr("class", "play")
.on("click", start);
play.append("path")
.attr("d", "M-30,-30L30,0L-30,30Z")
.attr("transform", "translate(" + width / 2 + "," + height / 2 + ")scale(.6)");
play.append("rect")
.attr("width", width)
.attr("height", height);
function start() {
play.style("display", "none");
line = svg.selectAll(".line")
.data(shuffle(d3.range(n)))
.attr("x2", function(d) { return size * Math.sin(y(d)); })
.attr("y2", function(d) { return -size * Math.cos(y(d)); })
.attr("transform", function(d, i) { return "translate(" + x(i) + "," + height + ")"; })
.style("stroke", COLOR_IDLE);
var pause = 0,
pass = 1,
stage1Data = new Object();
var interval = setInterval(function() {
if (pause > 0) {
pause--;
return;
}
switch(pass) {
case 1:
if (!(m = stage1(line, stage1Data, m))) {
m = n;
pass = 2;
pause = 2;
// Wait for all trailing animations before running this.
setTimeout(function() {
line.transition()
.duration(animate*1/3)
.delay(function(d, i) { return (animate*2/3)/n * i })
.style("stroke", COLOR_IDLE)
.style("stroke-width", STROKE);
}, tick);
}
break;
case 2:
if (!(m = stage2(line, m))) {
m = n;
pass = 3;
}
break;
case 3:
clearInterval(interval);
setTimeout(function() {
play.style("display", null);
line = svg.selectAll(".line")
.data(d3.range(n))
.attr("x2", function(d) { return size * Math.sin(y(d)); })
.attr("y2", function(d) { return -size * Math.cos(y(d)); })
.attr("transform", function(d, i) { return "translate(" + x(i) + "," + height + ")"; })
.style("stroke", COLOR_IDLE);
}, 5000);
break;
}
}, tick);
}
return svg;
}
function stage1(line, data, m) {
if (data.prefix == undefined) {
// Initialize data container.
data.prefix = null;
data.on = 0;
data.key = null;
}
if (data.key == null) {
// Start of a new pass.
data.prefix = ~~Math.sqrt(m-1);
if (data.prefix <= 0) {
// stage is done.
return 0;
}
// Find maximum bar from prefix, to use as the key.
data.key = 0;
for (var i = 1; i < data.prefix; ++i) {
if (line[0][i].__data__ > line[0][data.key].__data__) {
data.key = i;
}
}
// Re-color the active region for this pass.
line.select(function(d, i) { return i < m ? this : null })
.style("stroke", function(d, i) { return i < data.prefix ? (i == data.key ? COLOR_KEY : COLOR_PARTITION) : COLOR_IDLE; })
.style("stroke-width", function(d, i) { return i == data.key ? STROKE_BOLD : STROKE; });
// Next entry, start scanning immediately after the prefix.
data.on = data.prefix;
return m;
}
// Mid pass: start by checking for elements at end to skip.
while (m > data.prefix && line[0][m-1].__data__ >= line[0][data.key].__data__) {
d3.select(line[0][m-1])
.style("stroke", COLOR_DONE);
m--;
}
// Next, find one element from the front to swap forward.
while (data.on < m - 1 && line[0][data.on].__data__ < line[0][data.key].__data__) {
data.on++;
}
if (data.on >= m - 1) {
// None left - pass is done.
swap(line, data.key, m-1, COLOR_KEY_ANIMATING);
data.key = null;
return m-1;
}
swap(line, data.on, m-1);
return m-1;
}
function stage2(line, m) {
// Insertion sort, from right to left.
if (m == n) {
d3.select(line[0][m-1])
.style("stroke", COLOR_DONE);
return m-1;
}
while (m > 0 && line[0][m-1].__data__ < line[0][m].__data__) {
d3.select(line[0][m-1])
.style("stroke", COLOR_DONE);
m--;
}
if (m == 0) {
return 0;
}
// m-1 needs to be slid forward. Find the destination:
var dst = m;
for (; dst < line[0].length; dst++) {
if (line[0][m-1].__data__ < line[0][dst].__data__) {
break;
}
}
insert(line, m-1, dst);
return m-1;
}
chart(stage1, stage2);
</script>
</body></html>
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