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Last active Dec 20, 2015
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Disability resource flows prototype

(We recommend viewing this gist in a new window to see the full diagram).

This is a prototype Sankey diagram developed by Steve Williams and Terry Stewart for SiG's Social Innovation Simulation project at the University of Waterloo. It helps to illustrate ways in which resource flows around disability could be modelled. It is based on this Sankey diagram, built using the Sankey library in D3.

Sankey diagrams are very useful for visualizing resource flows. In this example, we wanted to get a sense of where financial support for those living with disability in Ontario was coming from. How much was from public and private sectors? What role did employers play? Who were the intermediaries? How many government ministries were involved? How much of the resources were going to families and how much to individuals? The model shows this flow from left to right. The thickness of the lines represents the relative scale of financial resource from each segment. Note that in this case, the lines are illustrative only as the research is not yet complete for all segments. Viewers of the model can move the different segments around to improve visibility and hover over the connecting lines to see the values associated with the flows.

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function d3_class(ctor, properties) {
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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;
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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) {
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function d3_hsl(h, s, l) {
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function d3_Hsl(h, s, l) {
this.h = h;
this.s = s;
this.l = l;
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function d3_hsl_rgb(h, s, l) {
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);
}
var m1, m2;
h = h % 360;
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s = 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;
return d3_rgb(vv(h + 120), vv(h), vv(h - 120));
}
function d3_hcl(h, c, l) {
return new d3_Hcl(h, c, l);
}
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this.h = h;
this.c = c;
this.l = l;
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}
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this.l = l;
this.a = a;
this.b = 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 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));
}
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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;
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function d3_xyz_rgb(r) {
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function d3_selection(groups) {
d3_arraySubclass(groups, d3_selectionPrototype);
return groups;
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function d3_selection_selector(selector) {
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return d3_select(selector, this);
};
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function d3_selection_selectorAll(selector) {
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};
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function d3_selection_attr(name, value) {
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this.removeAttribute(name);
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this.removeAttributeNS(name.space, name.local);
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this.setAttribute(name, value);
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this.setAttributeNS(name.space, name.local, value);
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name = d3.ns.qualify(name);
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function d3_selection_classed(name, value) {
function classedConstant() {
var i = -1;
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function d3_selection_on(type, listener, capture) {
function onRemove() {
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var node = this, args = arguments;
onRemove.call(this);
this.addEventListener(type, this[name] = wrapper, wrapper.$ = capture);
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function d3_selection_each(groups, callback) {
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}
}
return groups;
}
function d3_selection_enter(selection) {
d3_arraySubclass(selection, d3_selection_enterPrototype);
return selection;
}
function d3_transition(groups, id, time) {
d3_arraySubclass(groups, d3_transitionPrototype);
var tweens = new d3_Map, event = d3.dispatch("start", "end"), ease = d3_transitionEase;
groups.id = id;
groups.time = time;
groups.tween = function(name, tween) {
if (arguments.length < 2) return tweens.get(name);
if (tween == null) tweens.remove(name); else tweens.set(name, tween);
return groups;
};
groups.ease = function(value) {
if (!arguments.length) return ease;
ease = typeof value === "function" ? value : d3.ease.apply(d3, arguments);
return groups;
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groups.each = function(type, listener) {
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event.on(type, listener);
return groups;
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d3.timer(function(elapsed) {
return d3_selection_each(groups, function(node, i, j) {
function start(elapsed) {
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lock.active = id;
tweens.forEach(function(key, value) {
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tweened.push(value);
}
});
event.start.call(node, d, i);
if (!tick(elapsed)) d3.timer(tick, 0, time);
return 1;
}
function tick(elapsed) {
if (lock.active !== id) return stop();
var t = (elapsed - delay) / duration, e = ease(t), n = tweened.length;
while (n > 0) {
tweened[--n].call(node, e);
}
if (t >= 1) {
stop();
d3_transitionId = id;
event.end.call(node, d, i);
d3_transitionId = 0;
return 1;
}
}
function stop() {
if (!--lock.count) delete node.__transition__;
return 1;
}
var tweened = [], delay = node.delay, duration = node.duration, lock = (node = node.node).__transition__ || (node.__transition__ = {
active: 0,
count: 0
}), d = node.__data__;
++lock.count;
delay <= elapsed ? start(elapsed) : d3.timer(start, delay, time);
});
}, 0, time);
return groups;
}
function d3_transition_each(callback) {
var id = d3_transitionId, ease = d3_transitionEase, delay = d3_transitionDelay, duration = d3_transitionDuration;
d3_transitionId = this.id;
d3_transitionEase = this.ease();
d3_selection_each(this, function(node, i, j) {
d3_transitionDelay = node.delay;
d3_transitionDuration = node.duration;
callback.call(node = node.node, node.__data__, i, j);
});
d3_transitionId = id;
d3_transitionEase = ease;
d3_transitionDelay = delay;
d3_transitionDuration = duration;
return this;
}
function d3_tweenNull(d, i, a) {
return a != "" && d3_tweenRemove;
}
function d3_tweenByName(b, name) {
return d3.tween(b, d3_interpolateByName(name));
}
function d3_timer_step() {
var elapsed, now = Date.now(), t1 = d3_timer_queue;
while (t1) {
elapsed = now - t1.then;
if (elapsed >= t1.delay) t1.flush = t1.callback(elapsed);
t1 = t1.next;
}
var delay = d3_timer_flush() - 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);
}
}
function d3_timer_flush() {
var t0 = null, t1 = d3_timer_queue, then = Infinity;
while (t1) {
if (t1.flush) {
delete d3_timer_byId[t1.callback.id];
t1 = t0 ? t0.next = t1.next : d3_timer_queue = t1.next;
} else {
then = Math.min(then, t1.then + t1.delay);
t1 = (t0 = t1).next;
}
}
return then;
}
function d3_mousePoint(container, e) {
var svg = container.ownerSVGElement || container;
if (svg.createSVGPoint) {
var point = svg.createSVGPoint();
if (d3_mouse_bug44083 < 0 && (window.scrollX || window.scrollY)) {
svg = d3.select(document.body).append("svg").style("position", "absolute").style("top", 0).style("left", 0);
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 ];
}
function d3_noop() {}
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_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;
}
if (nice = nice(x1 - x0)) {
domain[i0] = nice.floor(x0);
domain[i1] = nice.ceil(x1);
}
return domain;
}
function d3_scale_niceDefault() {
return Math;
}
function d3_scale_linear(domain, range, interpolate, clamp) {
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);
}
var output, input;
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) {
return d3_scale_linearTickFormat(domain, m);
};
scale.nice = function() {
d3_scale_nice(domain, d3_scale_linearNice);
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(dx) {
dx = Math.pow(10, Math.round(Math.log(dx) / Math.LN10) - 1);
return dx && {
floor: function(x) {
return Math.floor(x / dx) * dx;
},
ceil: function(x) {
return Math.ceil(x / dx) * dx;
}
};
}
function d3_scale_linearTickRange(domain, m) {
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) {
return d3.format(",." + Math.max(0, -Math.floor(Math.log(d3_scale_linearTickRange(domain, m)[2]) / Math.LN10 + .01)) + "f");
}
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_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));
};
}
function d3_scale_log(linear, log) {
function scale(x) {
return linear(log(x));
}
var pow = log.pow;
scale.invert = function(x) {
return pow(linear.invert(x));
};
scale.domain = function(x) {
if (!arguments.length) return linear.domain().map(pow);
log = x[0] < 0 ? d3_scale_logn : d3_scale_logp;
pow = log.pow;
linear.domain(x.map(log));
return scale;
};
scale.nice = function() {
linear.domain(d3_scale_nice(linear.domain(), d3_scale_niceDefault));
return scale;
};
scale.ticks = function() {
var extent = d3_scaleExtent(linear.domain()), ticks = [];
if (extent.every(isFinite)) {
var i = Math.floor(extent[0]), j = Math.ceil(extent[1]), u = pow(extent[0]), v = pow(extent[1]);
if (log === d3_scale_logn) {
ticks.push(pow(i));
for (; i++ < j; ) for (var k = 9; k > 0; k--) ticks.push(pow(i) * k);
} else {
for (; i < j; i++) for (var k = 1; k < 10; k++) ticks.push(pow(i) * k);
ticks.push(pow(i));
}
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 < 2) format = d3_scale_logFormat;
if (arguments.length < 1) return format;
var k = Math.max(.1, n / scale.ticks().length), f = log === d3_scale_logn ? (e = -1e-12, Math.floor) : (e = 1e-12, Math.ceil), e;
return function(d) {
return d / pow(f(log(d) + e)) <= k ? format(d) : "";
};
};
scale.copy = function() {
return d3_scale_log(linear.copy(), log);
};
return d3_scale_linearRebind(scale, linear);
}
function d3_scale_logp(x) {
return Math.log(x < 0 ? 0 : x) / Math.LN10;
}
function d3_scale_logn(x) {
return -Math.log(x > 0 ? 0 : -x) / Math.LN10;
}
function d3_scale_pow(linear, exponent) {
function scale(x) {
return linear(powp(x));
}
var powp = d3_scale_powPow(exponent), powb = d3_scale_powPow(1 / exponent);
scale.invert = function(x) {
return powb(linear.invert(x));
};
scale.domain = function(x) {
if (!arguments.length) return linear.domain().map(powb);
linear.domain(x.map(powp));
return scale;
};
scale.ticks = function(m) {
return d3_scale_linearTicks(scale.domain(), m);
};
scale.tickFormat = function(m) {
return d3_scale_linearTickFormat(scale.domain(), m);
};
scale.nice = function() {
return scale.domain(d3_scale_nice(scale.domain(), d3_scale_linearNice));
};
scale.exponent = function(x) {
if (!arguments.length) return exponent;
var domain = scale.domain();
powp = d3_scale_powPow(exponent = x);
powb = d3_scale_powPow(1 / exponent);
return scale.domain(domain);
};
scale.copy = function() {
return d3_scale_pow(linear.copy(), exponent);
};
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);
};
}
function d3_scale_ordinal(domain, ranger) {
function scale(x) {
return range[((index.get(x) || index.set(x, domain.push(x))) - 1) % range.length];
}
function steps(start, step) {
return d3.range(domain.length).map(function(i) {
return start + step * i;
});
}
var index, range, rangeBand;
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);
}
function d3_scale_quantile(domain, range) {
function rescale() {
var k = 0, n = domain.length, 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 NaN;
return range[d3.bisect(thresholds, x)];
}
var thresholds;
scale.domain = function(x) {
if (!arguments.length) return domain;
domain = x.filter(function(d) {
return !isNaN(d);
}).sort(d3.ascending);
return rescale();
};
scale.range = function(x) {
if (!arguments.length) return range;
range = x;
return rescale();
};
scale.quantiles = function() {
return thresholds;
};
scale.copy = function() {
return d3_scale_quantile(domain, range);
};
return rescale();
}
function d3_scale_quantize(x0, x1, range) {
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;
}
var kx, i;
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.copy = function() {
return d3_scale_quantize(x0, x1, range);
};
return rescale();
}
function d3_scale_threshold(domain, range) {
function scale(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.copy = function() {
return d3_scale_threshold(domain, range);
};
return scale;
}
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) {
return d3_scale_linearTickFormat(domain, m);
};
identity.copy = function() {
return d3_scale_identity(domain);
};
return identity;
}
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) {
function line(data) {
function segment() {
segments.push("M", interpolate(projection(points), tension));
}
var segments = [], points = [], i = -1, n = data.length, d, fx = d3_functor(x), fy = d3_functor(y);
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;
}
var x = d3_svg_lineX, y = d3_svg_lineY, defined = d3_true, interpolate = d3_svg_lineLinear, interpolateKey = interpolate.key, tension = .7;
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;
}
function d3_svg_lineX(d) {
return d[0];
}
function d3_svg_lineY(d) {
return d[1];
}
function d3_svg_lineLinear(points) {
return points.join("L");
}
function d3_svg_lineLinearClosed(points) {
return d3_svg_lineLinear(points) + "Z";
}
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, closed) {
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 ];
d3_svg_lineBasisBezier(path, px, py);
while (++i < n) {
pi = points[i];
px.shift();
px.push(pi[0]);
py.shift();
py.push(pi[1]);
d3_svg_lineBasisBezier(path, px, py);
}
i = -1;
while (++i < 2) {
px.shift();
px.push(pi[0]);
py.shift();
py.push(pi[1]);
d3_svg_lineBasisBezier(path, px, py);
}
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];
}
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 (Math.abs(d) < 1e-6) {
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));
}
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) {
function area(data) {
function segment() {
segments.push("M", interpolate(projection(points1), tension), L, interpolateReverse(projection(points0.reverse()), tension), "Z");
}
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;
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;
}
var x0 = d3_svg_lineX, x1 = d3_svg_lineX, y0 = 0, y1 = d3_svg_lineY, defined = d3_true, interpolate = d3_svg_lineLinear, interpolateKey = interpolate.key, interpolateReverse = interpolate, L = "L", tension = .7;
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;
}
function d3_svg_chordSource(d) {
return d.source;
}
function d3_svg_chordTarget(d) {
return d.target;
}
function d3_svg_chordRadius(d) {
return d.radius;
}
function d3_svg_chordStartAngle(d) {
return d.startAngle;
}
function d3_svg_chordEndAngle(d) {
return d.endAngle;
}
function d3_svg_diagonalProjection(d) {
return [ d.x, d.y ];
}
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) ];
};
}
function d3_svg_symbolSize() {
return 64;
}
function d3_svg_symbolType() {
return "circle";
}
function d3_svg_symbolCircle(size) {
var r = Math.sqrt(size / Math.PI);
return "M0," + r + "A" + r + "," + r + " 0 1,1 0," + -r + "A" + r + "," + r + " 0 1,1 0," + r + "Z";
}
function d3_svg_axisX(selection, x) {
selection.attr("transform", function(d) {
return "translate(" + x(d) + ",0)";
});
}
function d3_svg_axisY(selection, y) {
selection.attr("transform", function(d) {
return "translate(0," + y(d) + ")";
});
}
function d3_svg_axisSubdivide(scale, ticks, m) {
subticks = [];
if (m && ticks.length > 1) {
var extent = d3_scaleExtent(scale.domain()), subticks, i = -1, n = ticks.length, d = (ticks[1] - ticks[0]) / ++m, j, v;
while (++i < n) {
for (j = m; --j > 0; ) {
if ((v = +ticks[i] - j * d) >= extent[0]) {
subticks.push(v);
}
}
}
for (--i, j = 0; ++j < m && (v = +ticks[i] + j * d) < extent[1]; ) {
subticks.push(v);
}
}
return subticks;
}
function d3_behavior_zoomDelta() {
if (!d3_behavior_zoomDiv) {
d3_behavior_zoomDiv = d3.select("body").append("div").style("visibility", "hidden").style("top", 0).style("height", 0).style("width", 0).style("overflow-y", "scroll").append("div").style("height", "2000px").node().parentNode;
}
var e = d3.event, delta;
try {
d3_behavior_zoomDiv.scrollTop = 1e3;
d3_behavior_zoomDiv.dispatchEvent(e);
delta = 1e3 - d3_behavior_zoomDiv.scrollTop;
} catch (error) {
delta = e.wheelDelta || -e.detail * 5;
}
return delta;
}
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;
}
function d3_layout_forceDragstart(d) {
d.fixed |= 2;
}
function d3_layout_forceDragend(d) {
d.fixed &= 1;
}
function d3_layout_forceMouseover(d) {
d.fixed |= 4;
}
function d3_layout_forceMouseout(d) {
d.fixed &= 3;
}
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;
}
function d3_layout_forceLinkDistance(link) {
return 20;
}
function d3_layout_forceLinkStrength(link) {
return 1;
}
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;
}
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];
}
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) ];
}
function d3_layout_hierarchyRebind(object, hierarchy) {
d3.rebind(object, hierarchy, "sort", "children", "value");
object.links = d3_layout_hierarchyLinks;
object.nodes = function(d) {
d3_layout_hierarchyInline = true;
return (object.nodes = object)(d);
};
return object;
}
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
};
});
}));
}
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 dr * dr - dx * dx - dy * dy > .001;
}
function d3_layout_packSiblings(node) {
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);
}
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;
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;
}
}
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;
}
function d3_layout_treeSeparation(a, b) {
return a.parent == b.parent ? 1 : 2;
}
function d3_layout_treeLeft(node) {
var children = node.children;
return children && children.length ? children[0] : node._tree.thread;
}
function d3_layout_treeRight(node) {
var children = node.children, n;
return children && (n = children.length) ? children[n - 1] : node._tree.thread;
}
function d3_layout_treeSearch(node, compare) {
var children = node.children;
if (children && (n = children.length)) {
var child, n, i = -1;
while (++i < n) {
if (compare(child = d3_layout_treeSearch(children[i], compare), node) > 0) {
node = child;
}
}
}
return node;
}
function d3_layout_treeRightmost(a, b) {
return a.x - b.x;
}
function d3_layout_treeLeftmost(a, b) {
return b.x - a.x;
}
function d3_layout_treeDeepest(a, b) {
return a.depth - b.depth;
}
function d3_layout_treeVisitAfter(node, callback) {
function visit(node, previousSibling) {
var children = node.children;
if (children && (n = children.length)) {
var child, previousChild = null, i = -1, n;
while (++i < n) {
child = children[i];
visit(child, previousChild);
previousChild = child;
}
}
callback(node, previousSibling);
}
visit(node, null);
}
function d3_layout_treeShift(node) {
var shift = 0, change = 0, children = node.children, i = children.length, child;
while (--i >= 0) {
child = children[i]._tree;
child.prelim += shift;
child.mod += shift;
shift += child.shift + (change += child.change);
}
}
function d3_layout_treeMove(ancestor, node, shift) {
ancestor = ancestor._tree;
node = node._tree;
var change = shift / (node.number - ancestor.number);
ancestor.change += change;
node.change -= change;
node.shift += shift;
node.prelim += shift;
node.mod += shift;
}
function d3_layout_treeAncestor(vim, node, ancestor) {
return vim._tree.ancestor.parent == node.parent ? vim._tree.ancestor : ancestor;
}
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
};
}
function d3_dsv(delimiter, mimeType) {
function dsv(url, callback) {
d3.text(url, mimeType, function(text) {
callback(text && dsv.parse(text));
});
}
function formatRow(row) {
return row.map(formatValue).join(delimiter);
}
function formatValue(text) {
return reFormat.test(text) ? '"' + text.replace(/\"/g, '""') + '"' : text;
}
var reParse = new RegExp("\r\n|[" + delimiter + "\r\n]", "g"), reFormat = new RegExp('["' + delimiter + "\n]"), delimiterCode = delimiter.charCodeAt(0);
dsv.parse = function(text) {
var header;
return dsv.parseRows(text, function(row, i) {
if (i) {
var o = {}, j = -1, m = header.length;
while (++j < m) o[header[j]] = row[j];
return o;
} else {
header = row;
return null;
}
});
};
dsv.parseRows = function(text, f) {
function token() {
if (reParse.lastIndex >= text.length) return EOF;
if (eol) {
eol = false;
return EOL;
}
var j = reParse.lastIndex;
if (text.charCodeAt(j) === 34) {
var i = j;
while (i++ < text.length) {
if (text.charCodeAt(i) === 34) {
if (text.charCodeAt(i + 1) !== 34) break;
i++;
}
}
reParse.lastIndex = i + 2;
var c = text.charCodeAt(i + 1);
if (c === 13) {
eol = true;
if (text.charCodeAt(i + 2) === 10) reParse.lastIndex++;
} else if (c === 10) {
eol = true;
}
return text.substring(j + 1, i).replace(/""/g, '"');
}
var m = reParse.exec(text);
if (m) {
eol = m[0].charCodeAt(0) !== delimiterCode;
return text.substring(j, m.index);
}
reParse.lastIndex = text.length;
return text.substring(j);
}
var EOL = {}, EOF = {}, rows = [], n = 0, t, eol;
reParse.lastIndex = 0;
while ((t = token()) !== EOF) {
var a = [];
while (t !== EOL && t !== EOF) {
a.push(t);
t = token();
}
if (f && !(a = f(a, n++))) continue;
rows.push(a);
}
return rows;
};
dsv.format = function(rows) {
return rows.map(formatRow).join("\n");
};
return dsv;
}
function d3_geo_type(types, defaultValue) {
return function(object) {
return object && types.hasOwnProperty(object.type) ? types[object.type](object) : defaultValue;
};
}
function d3_path_circle(radius) {
return "m0," + radius + "a" + radius + "," + radius + " 0 1,1 0," + -2 * radius + "a" + radius + "," + radius + " 0 1,1 0," + +2 * radius + "z";
}
function d3_geo_bounds(o, f) {
if (d3_geo_boundsTypes.hasOwnProperty(o.type)) d3_geo_boundsTypes[o.type](o, f);
}
function d3_geo_boundsFeature(o, f) {
d3_geo_bounds(o.geometry, f);
}
function d3_geo_boundsFeatureCollection(o, f) {
for (var a = o.features, i = 0, n = a.length; i < n; i++) {
d3_geo_bounds(a[i].geometry, f);
}
}
function d3_geo_boundsGeometryCollection(o, f) {
for (var a = o.geometries, i = 0, n = a.length; i < n; i++) {
d3_geo_bounds(a[i], f);
}
}
function d3_geo_boundsLineString(o, f) {
for (var a = o.coordinates, i = 0, n = a.length; i < n; i++) {
f.apply(null, a[i]);
}
}
function d3_geo_boundsMultiLineString(o, f) {
for (var a = o.coordinates, i = 0, n = a.length; i < n; i++) {
for (var b = a[i], j = 0, m = b.length; j < m; j++) {
f.apply(null, b[j]);
}
}
}
function d3_geo_boundsMultiPolygon(o, f) {
for (var a = o.coordinates, i = 0, n = a.length; i < n; i++) {
for (var b = a[i][0], j = 0, m = b.length; j < m; j++) {
f.apply(null, b[j]);
}
}
}
function d3_geo_boundsPoint(o, f) {
f.apply(null, o.coordinates);
}
function d3_geo_boundsPolygon(o, f) {
for (var a = o.coordinates[0], i = 0, n = a.length; i < n; i++) {
f.apply(null, a[i]);
}
}
function d3_geo_greatArcSource(d) {
return d.source;
}
function d3_geo_greatArcTarget(d) {
return d.target;
}
function d3_geo_greatArcInterpolator() {
function interpolate(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_geo_radians, Math.atan2(z, Math.sqrt(x * x + y * y)) / d3_geo_radians ];
}
var x0, y0, cy0, sy0, kx0, ky0, x1, y1, cy1, sy1, kx1, ky1, d, k;
interpolate.distance = function() {
if (d == null) k = 1 / Math.sin(d = Math.acos(Math.max(-1, Math.min(1, sy0 * sy1 + cy0 * cy1 * Math.cos(x1 - x0)))));
return d;
};
interpolate.source = function(_) {
var cx0 = Math.cos(x0 = _[0] * d3_geo_radians), sx0 = Math.sin(x0);
cy0 = Math.cos(y0 = _[1] * d3_geo_radians);
sy0 = Math.sin(y0);
kx0 = cy0 * cx0;
ky0 = cy0 * sx0;
d = null;
return interpolate;
};
interpolate.target = function(_) {
var cx1 = Math.cos(x1 = _[0] * d3_geo_radians), sx1 = Math.sin(x1);
cy1 = Math.cos(y1 = _[1] * d3_geo_radians);
sy1 = Math.sin(y1);
kx1 = cy1 * cx1;
ky1 = cy1 * sx1;
d = null;
return interpolate;
};
return interpolate;
}
function d3_geo_greatArcInterpolate(a, b) {
var i = d3_geo_greatArcInterpolator().source(a).target(b);
i.distance();
return i;
}
function d3_geom_contourStart(grid) {
var x = 0, y = 0;
while (true) {
if (grid(x, y)) {
return [ x, y ];
}
if (x === 0) {
x = y + 1;
y = 0;
} else {
x = x - 1;
y = y + 1;
}
}
}
function d3_geom_hullCCW(i1, i2, i3, v) {
var t, a, b, c, d, e, f;
t = v[i1];
a = t[0];
b = t[1];
t = v[i2];
c = t[0];
d = t[1];
t = v[i3];
e = t[0];
f = t[1];
return (f - b) * (c - a) - (d - b) * (e - a) > 0;
}
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], x2 = d[0], x3 = a[0], x4 = b[0], y1 = c[1], y2 = d[1], y3 = a[1], y4 = b[1], x13 = x1 - x3, x21 = x2 - x1, x43 = x4 - x3, y13 = y1 - y3, y21 = y2 - y1, y43 = y4 - y3, ua = (x43 * y13 - y43 * x13) / (y43 * x21 - x43 * y21);
return [ x1 + ua * x21, y1 + ua * y21 ];
}
function d3_voronoi_tessellate(vertices, callback) {
var Sites = {
list: vertices.map(function(v, i) {
return {
index: i,
x: v[0],
y: v[1]
};
}).sort(function(a, b) {
return a.y < b.y ? -1 : a.y > b.y ? 1 : a.x < b.x ? -1 : a.x > b.x ? 1 : 0;
}),
bottomSite: null
};
var EdgeList = {
list: [],
leftEnd: null,
rightEnd: null,
init: function() {
EdgeList.leftEnd = EdgeList.createHalfEdge(null, "l");
EdgeList.rightEnd = EdgeList.createHalfEdge(null, "l");
EdgeList.leftEnd.r = EdgeList.rightEnd;
EdgeList.rightEnd.l = EdgeList.leftEnd;
EdgeList.list.unshift(EdgeList.leftEnd, EdgeList.rightEnd);
},
createHalfEdge: function(edge, side) {
return {
edge: edge,
side: side,
vertex: null,
l: null,
r: null
};
},
insert: function(lb, he) {
he.l = lb;
he.r = lb.r;
lb.r.l = he;
lb.r = he;
},
leftBound: function(p) {
var he = EdgeList.leftEnd;
do {
he = he.r;
} while (he != EdgeList.rightEnd && Geom.rightOf(he, p));
he = he.l;
return he;
},
del: function(he) {
he.l.r = he.r;
he.r.l = he.l;
he.edge = null;
},
right: function(he) {
return he.r;
},
left: function(he) {
return he.l;
},
leftRegion: function(he) {
return he.edge == null ? Sites.bottomSite : he.edge.region[he.side];
},
rightRegion: function(he) {
return he.edge == null ? Sites.bottomSite : he.edge.region[d3_voronoi_opposite[he.side]];
}
};
var Geom = {
bisect: function(s1, s2) {
var newEdge = {
region: {
l: s1,
r: s2
},
ep: {
l: null,
r: null
}
};
var dx = s2.x - s1.x, dy = s2.y - s1.y, adx = dx > 0 ? dx : -dx, ady = dy > 0 ? dy : -dy;
newEdge.c = s1.x * dx + s1.y * dy + (dx * dx + dy * dy) * .5;
if (adx > ady) {
newEdge.a = 1;
newEdge.b = dy / dx;
newEdge.c /= dx;
} else {
newEdge.b = 1;
newEdge.a = dx / dy;
newEdge.c /= dy;
}
return newEdge;
},
intersect: function(el1, el2) {
var e1 = el1.edge, e2 = el2.edge;
if (!e1 || !e2 || e1.region.r == e2.region.r) {
return null;
}
var d = e1.a * e2.b - e1.b * e2.a;
if (Math.abs(d) < 1e-10) {
return null;
}
var xint = (e1.c * e2.b - e2.c * e1.b) / d, yint = (e2.c * e1.a - e1.c * e2.a) / d, e1r = e1.region.r, e2r = e2.region.r, el, e;
if (e1r.y < e2r.y || e1r.y == e2r.y && e1r.x < e2r.x) {
el = el1;
e = e1;
} else {
el = el2;
e = e2;
}
var rightOfSite = xint >= e.region.r.x;
if (rightOfSite && el.side === "l" || !rightOfSite && el.side === "r") {
return null;
}
return {
x: xint,
y: yint
};
},
rightOf: function(he, p) {
var e = he.edge, topsite = e.region.r, rightOfSite = p.x > topsite.x;
if (rightOfSite && he.side === "l") {
return 1;
}
if (!rightOfSite && he.side === "r") {
return 0;
}
if (e.a === 1) {
var dyp = p.y - topsite.y, dxp = p.x - topsite.x, fast = 0, above = 0;
if (!rightOfSite && e.b < 0 || rightOfSite && e.b >= 0) {
above = fast = dyp >= e.b * dxp;
} else {
above = p.x + p.y * e.b > e.c;
if (e.b < 0) {
above = !above;
}
if (!above) {
fast = 1;
}