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Cahill-Keyes map projection

Cahill-Keyes map projection (I modified Waterman butterfly projection in the geo.polyhedron D3 plugin to have incisions at 17° (Thanks Jason for the great inspiration!).

Gene Keyes's first 5 principles:

  • principal format to an M-shape, joined at south Atlantic
  • principal dividing meridian to 20° W
  • incisions at equator and poles at 17°
  • proportionality of geocells
  • circular parallels for the polar regions

The last two points are achieved via the custom projection defined by Gene Keyes which I reimplemented in javascript from original Perl program by Mary Jo Graça.

The last principle to take care of is:

  • re-assemble and attach Antartica. ()

The colouring is inspired (i.e. adapted...ok copied! This is just building on Giants' shoulders: Mike called it For example ;-) from Mike's World Map.

The rendering of Tropic of Cancer/Capricorn and Arctic/Antartic Circle are inspired by Jason's Bartholomew’s Regional Projection.

(function() {
var ε = 1e-6,
ε2 = ε * ε,
π = Math.PI,
sqrtπ = Math.sqrt(π),
radians = π/ 180,
degrees = 180 /π;
function sinci(x) {
return x ? x / Math.sin(x) : 1;
}
function sgn(x) {
return x > 0 ? 1 : x < 0 ? -1 : 0;
}
function asin(x) {
return x > 1 ? π/ 2 : (x < -1 ? -π/2 : Math.asin(x));
}
function acos(x) {
return x > 1 ? 0 : x < -1 ? π : Math.acos(x);
}
function asqrt(x) {
return x > 0 ? Math.sqrt(x) : 0;
}
var projection = d3.geo.projection,
projectionMutator = d3.geo.projectionMutator;
// all names of reference points, A, B, D, ... , G, P75
// or zones, A-L, are detailed fully in Gene Keyes'
// web site http://www.genekeyes.com/CKOG-OOo/7-CKOG-illus-&-coastline.html
function cahillKeyes(mg) {
var CK = {
"lengthMG": mg // magic scaling length
};
preliminaries();
function preliminaries() {
var pointN, lengthMB, lengthMN, lengthNG, pointU;
var m = 29, // meridian
p = 15, // parallel
p73a, lF, lT, lM, l, pointV,
k = Math.sqrt(3);
CK.lengthMA = 940 / 10000 * CK.lengthMG; //->GLOBAL
CK.lengthParallel0to73At0 = CK.lengthMG / 100; //->GLOBAL
CK.lengthParallel73to90At0 = ((CK.lengthMG - CK.lengthMA) -
(CK.lengthParallel0to73At0 * 73)) / (90 - 73); //->GLOBAL
CK.sin60 = 0.866025403784439; // √3/2 //->GLOBAL
CK.cos60 = 0.5; //->GLOBAL
CK.yTranslate = CK.lengthMG * CK.sin60; //->GLOBAL
CK.pointM = [0, 0]; //->GLOBAL
CK.pointG = [CK.lengthMG, 0]; //->GLOBAL
pointN = [CK.lengthMG, CK.lengthMG * Math.tan(30 * radians)];
CK.pointA = [CK.lengthMA, 0]; //->GLOBAL
CK.pointB = lineIntersection(CK.pointM, 30, CK.pointA, 45); //->GLOBAL
CK.lengthAG = distance(CK.pointA, CK.pointG); //->GLOBAL
CK.lengthAB = distance(CK.pointA, CK.pointB); //->GLOBAL
lengthMB = distance(CK.pointM, CK.pointB);
lengthMN = distance(CK.pointM, pointN);
lengthNG = distance(pointN, CK.pointG);
CK.pointD = interpolate(lengthMB, lengthMN, pointN, CK.pointM); //->GLOBAL
CK.pointF = [CK.lengthMG, lengthNG - lengthMB]; //->GLOBAL
CK.pointE = [pointN[0] - CK.lengthMA * Math.sin(30 * radians),
pointN[1] - CK.lengthMA * Math.cos(30 * radians)
]; //->GLOBAL
CK.lengthGF = distance(CK.pointG, CK.pointF); //->GLOBAL
CK.lengthBD = distance(CK.pointB, CK.pointD); //->GLOBAL
CK.lengthBDE = CK.lengthBD + CK.lengthAB; // lengthAB = lengthDE //->GLOBAL
CK.lengthGFE = CK.lengthGF + CK.lengthAB; // lengthAB = lengthFE //->GLOBAL
CK.deltaMEq = CK.lengthGFE / 45; //->GLOBAL
CK.lengthAP75 = (90 - 75) * CK.lengthParallel73to90At0; //->GLOBAL
CK.lengthAP73 = CK.lengthMG - CK.lengthMA - CK.lengthParallel0to73At0 * 73; //->GLOBAL
pointU = [CK.pointA[0] + CK.lengthAP73 * Math.cos(30 * radians),
CK.pointA[1] + CK.lengthAP73 * Math.sin(30 * radians)
];
CK.pointT = lineIntersection(pointU, -60, CK.pointB, 30); //->GLOBAL
p73a = parallel73(m);
lF = p73a.lengthParallel73;
lT = lengthTorridSegment(m);
lM = lengthMiddleSegment(m);
l = p * (lT + lM + lF) / 73;
pointV = [0, 0];
CK.pointC = [0, 0]; //->GLOBAL
CK.radius = 0; //->GLOBAL
l = l - lT;
pointV = interpolate(l, lM, jointT(m), jointF(m));
CK.pointC[1] = (pointV[0] * pointV[0] + pointV[1] * pointV[1] -
CK.pointD[0] * CK.pointD[0] - CK.pointD[1] * CK.pointD[1]) /
(2 * (k * pointV[0] + pointV[1] - k * CK.pointD[0] - CK.pointD[1]));
CK.pointC[0] = k * CK.pointC[1];
CK.radius = distance(CK.pointC, CK.pointD);
return CK;
}
//**** helper functions ****//
// distance between two 2D coordinates
function distance(p1, p2) {
var deltaX = p1[0] - p2[0],
deltaY = p1[1] - p2[1];
return Math.sqrt(deltaX * deltaX + deltaY * deltaY);
}
// return 2D point at position length/totallength of the line
// defined by two 2D points, start and end.
function interpolate(length, totalLength, start, end) {
var xy = [start[0] + (end[0] - start[0]) * length / totalLength,
start[1] + (end[1] - start[1]) * length / totalLength
];
return xy;
}
// return the 2D point intersection between two lines defined
// by one 2D point and a slope each.
function lineIntersection(point1, slope1, point2, slope2) {
// s1/s2 = slope in degrees
var m1 = Math.tan(slope1 * radians),
m2 = Math.tan(slope2 * radians),
p = [0, 0];
p[0] = (m1 * point1[0] - m2 * point2[0] - point1[1] + point2[1]) / (m1 - m2);
p[1] = m1 * (p[0] - point1[0]) + point1[1];
return p;
}
// return the 2D point intercepting a circumference centered
// at cc and of radius rn and a line defined by 2 points, p1 and p2:
// First element of the returned array is a flag to state whether there is
// an intersection, a value of zero (0) means NO INTERSECTION.
// The following array is the 2D point of the intersection.
// Equations from "Intersection of a Line and a Sphere (or circle)/Line Segment"
// at http://paulbourke.net/geometry/circlesphere/
function circleLineIntersection(cc, r, p1, p2) {
var x1 = p1[0],
y1 = p1[1],
x2 = p2[0],
y2 = p2[1],
xc = cc[0],
yc = cc[1],
a = (x2 - x1) * (x2 - x1) + (y2 - y1) * (y2 - y1),
b = 2 * ((x2 - x1) * (x1 - xc) + (y2 - y1) * (y1 - yc)),
c = xc * xc + yc * yc + x1 * x1 + y1 * y1 - 2 * (xc * x1 + yc * y1) - r * r,
d = b * b - 4 * a * c,
u1 = 0,
u2 = 0,
x = 0,
y = 0;
if (a === 0) {
return [0, [0, 0]];
} else if (d < 0) {
return [0, [0, 0]];
}
u1 = (-b + Math.sqrt(d)) / (2 * a);
u2 = (-b - Math.sqrt(d)) / (2 * a);
if ((0 <= u1) && (u1 <= 1)) {
x = x1 + u1 * (x2 - x1);
y = y1 + u1 * (y2 - y1);
return [1, [x, y]];
} else if ((0 <= u2) && (u2 <= 1)) {
x = x1 + u2 * (x2 - x1);
y = y1 + u2 * (y2 - y1);
return [1, [x, y]];
} else {
return [0, [0, 0]];
}
}
// counterclockwise rotate 2D vector, xy, by angle (in degrees)
// [original CKOG uses clockwise rotation]
function rotate(xy, angle) {
var xynew = [0, 0];
if (angle === -60) {
xynew[0] = xy[0] * CK.cos60 + xy[1] * CK.sin60;
xynew[1] = -xy[0] * CK.sin60 + xy[1] * CK.cos60;
} else if (angle === -120) {
xynew[0] = -xy[0] * CK.cos60 + xy[1] * CK.sin60;
xynew[1] = -xy[0] * CK.sin60 - xy[1] * CK.cos60;
} else {
// !!!!! This should not happen for this projection!!!!
// the general algorith: cos(angle) * xy + sin(angle) * perpendicular(xy)
// return cos(angle * radians) * xy + sin(angle * radians) * perpendicular(xy);
console.log('rotate: angle ' + angle + ' different than -60 or -120!');
// counterclockwise
xynew[0] = xy[0] * Math.cos(angle * radians) - xy[1] * Math.sin(angle * radians);
xynew[1] = xy[0] * Math.sin(angle * radians) + xy[1] * Math.cos(angle * radians);
}
return xynew;
}
function sgn(x) {
return x >= 0 ? 1 : -1;
}
// truncate towards zero like int() in Perl
function truncate(n) {
return Math[n > 0 ? "floor" : "ceil"](n);
}
function equator(m) {
var l = CK.deltaMEq * m,
jointE = [0, 0];
if (l <= CK.lengthGF) {
jointE = [CK.pointG[0], l];
} else {
l = l - CK.lengthGF;
jointE = interpolate(l, CK.lengthAB,
CK.pointF,
CK.pointE);
}
return jointE;
}
function jointE(m) {
return equator(m);
}
function jointT(m) {
return lineIntersection(CK.pointM, 2 * m / 3,
jointE(m), m / 3);
}
function jointF(m) {
if (m === 0) {
return [CK.pointA + CK.lengthAB, 0];
}
var xy = lineIntersection(CK.pointA, m,
CK.pointM, 2 * m / 3);
return xy;
}
function lengthTorridSegment(m) {
return distance(jointE(m), jointT(m));
}
function lengthMiddleSegment(m) {
return distance(jointT(m), jointF(m));
}
function parallel73(m) {
var p73 = [0, 0],
jF = jointF(m),
lF = 0,
xy = [0, 0];
if (m <= 30) {
p73[0] = CK.pointA[0] +
CK.lengthAP73 * Math.cos(m * radians);
p73[1] = CK.pointA[1] +
CK.lengthAP73 * Math.sin(m * radians);
lF = distance(jF, p73);
} else {
p73 = lineIntersection(CK.pointT, -60, jF, m);
lF = distance(jF, p73);
if (m > 44) {
xy = lineIntersection(CK.pointT, -60, jF, 2 / 3 * m);
if (xy[0] > p73[0]) {
p73 = xy;
lF = -distance(jF, p73);
}
}
}
return {
"parallel73": p73,
"lengthParallel73": lF
};
}
function parallel75(m) {
return [CK.pointA[0] +
CK.lengthAP75 * Math.cos(m * radians),
CK.pointA[1] +
CK.lengthAP75 * Math.sin(m * radians)];
}
// special functions to transform lon/lat to x/y
function ll2mp(lon, lat) {
var south = [0, 6, 7, 8, 5],
o = truncate(((lon + 180) / 90) + 1),
p, // parallel
m = ((lon + 180) - 90 * (o - 1)) - 45, // meridian
s = sgn(m); // sign
m = Math.abs(m);
if (o === 5) o = 1;
if (lat < 0) o = south[o];
p = Math.abs(lat);
return [m, p, s, o];
}
function zoneA(m, p) {
return [CK.pointA[0] + (90 - p) * 104, 0];
}
function zoneB(m, p) {
return [CK.pointG[0] - p * 100, 0];
}
function zoneC(m, p) {
var l = 104 * (90 - p);
return [CK.pointA[0] + l * Math.cos(m * radians),
CK.pointA[1] + l * Math.sin(m * radians)];
}
function zoneD(m, p) {
p = p; // just keep it for symmetry in signature
return equator(m);
}
function zoneE(m, p) {
var l = 1560 + (75 - p) * 100;
return [CK.pointA[0] + l * Math.cos(m * radians),
CK.pointA[1] + l * Math.sin(m * radians)];
}
function zoneF(m, p) {
return interpolate(p, 15,
CK.pointE,
CK.pointD);
}
function zoneG(m, p) {
var l = p - 15;
return interpolate(l, 58, CK.pointD, CK.pointT);
}
function zoneH(m, p) {
var p75 = parallel75(45),
p73a = parallel73(m),
p73 = p73a.parallel73,
lF = distance(CK.pointT, CK.pointB),
lF75 = distance(CK.pointB, p75),
l = (75 - p) * (lF75 + lF) / 2,
xy = [0, 0];
if (l <= lF75) {
xy = interpolate(l, lF75, p75, CK.pointB);
} else {
l = l - lF75;
xy = interpolate(l, lF, CK.pointB, p73);
}
return xy;
}
function zoneI(m, p) {
var p73a = parallel73(m),
lT = lengthTorridSegment(m),
lM = lengthMiddleSegment(m),
l = p * (lT + lM + p73a.lengthParallel73) / 73,
xy;
if (l <= lT) {
xy = interpolate(l, lT, jointE(m), jointT(m));
} else if (l <= (lT + lM)) {
l = l - lT;
xy = interpolate(l, lM, jointT(m), jointF(m));
} else {
l = l - lT - lM;
xy = interpolate(l, p73a.lengthParallel73, jointF(m), p73a.parallel73);
}
return xy;
}
function zoneJ(m, p) {
var p75 = parallel75(m),
lF75 = distance(jointF(m), p75),
p73a = parallel73(m),
p73 = p73a.parallel73,
lF = p73a.lengthParallel73,
l = (75 - p) * (lF75 - lF) / 2,
xy = [0, 0];
if (l <= lF75) {
xy = interpolate(l, lF75, p75, jointF(m));
} else {
l = l - lF75;
xy = interpolate(l, -lF, jointF(m), p73);
}
return xy;
}
function zoneK(m, p, l15) {
var l = p * l15 / 15,
lT = lengthTorridSegment(m),
lM = lengthMiddleSegment(m),
xy = [0, 0];
if (l <= lT) { // point is in torrid segment
xy = interpolate(l, lT, jointE(m), jointT(m));
} else { // point is in middle segment
l = l - lT;
xy = interpolate(l, lM, jointT(m), jointF(m));
}
return xy;
}
function zoneL(m, p, l15) {
var p73a = parallel73(m),
p73 = p73a.parallel73,
lT = lengthTorridSegment(m),
lM = lengthMiddleSegment(m),
xy,
lF = p73a.lengthParallel73,
l = l15 + (p - 15) * ((lT + lM + lF) - l15) / 58;
if (l <= lT) { //on torrid segment
xy = interpolate(l, lT, jointE(m), jointF(m));
} else if (l <= lT + lM) { //on middle segment
l = l - lT;
xy = interpolate(l, lM, jointT(m), jointF(m));
} else { //on frigid segment
l = l - lT - lM;
xy = interpolate(l, lF, jointF(m), p73);
}
return xy;
}
// convert half-octant meridian,parallel to x,y coordinates.
// arguments are meridian, parallel
function mp2xy(m, p) {
var xy = [0, 0],
lT,
p15a,
p15,
flag15,
l15;
if (m === 0) { // zones (a) and (b)
if (p >= 75) {
xy = zoneA(m, p);
} else {
xy = zoneB(m, p);
}
} else if (p >= 75) {
xy = zoneC(m, p);
} else if (p === 0) {
xy = zoneD(m, p);
} else if ((p >= 73) && (m <= 30)) {
xy = zoneE(m, p);
} else if (m === 45) {
if (p <= 15) {
xy = zoneF(m, p);
} else if (p <= 73) {
xy = zoneG(m, p);
} else {
xy = zoneH(m, p);
}
} else {
if (m <= 29) {
xy = zoneI(m, p);
} else { // supple zones (j), (k) and (l)
if (p >= 73) {
xy = zoneJ(m, p);
} else { //zones (k) and (l)
p15a = circleLineIntersection(CK.pointC,
CK.radius,
jointT(m), jointF(m));
flag15 = p15a[0];
p15 = p15a[1];
lT = lengthTorridSegment(m);
if (flag15 === 1) { // intersection is in middle segment
l15 = lT + distance(jointT(m), p15);
} else { // intersection is in torrid segment
p15a = circleLineIntersection(CK.pointC,
CK.radius,
jointE(m), jointT(m));
flag15 = p15a[0];
p15 = p15a[1];
if (flag15 === 0) {
console.log('Something weird!');
// TODO: Trap this! Something odd happened!
}
l15 = lT - distance(jointT(m), p15);
}
if (p <= 15) {
xy = zoneK(m, p, l15);
} else { //zone (l)
xy = zoneL(m, p, l15);
}
}
}
}
return xy;
}
// from half-octant to megamap (single rotated octant)
function mj2g(xy, octant) {
var xynew = [0, 0];
if (octant === 0) {
xynew = rotate(xy, -60);
} else if (octant === 1) {
xynew = rotate(xy, -120);
xynew[0] -= CK.lengthMG;
} else if (octant === 2) {
xynew = rotate(xy, -60);
xynew[0] -= CK.lengthMG;
} else if (octant === 3) {
xynew = rotate(xy, -120);
xynew[0] += CK.lengthMG;
} else if (octant === 4) {
xynew = rotate(xy, -60);
xynew[0] += CK.lengthMG;
} else if (octant === 5) {
xynew = rotate([(2 * CK.lengthMG - xy[0]), xy[1]], -60);
xynew[0] += CK.lengthMG;
} else if (octant === 6) {
xynew = rotate([(2 * CK.lengthMG - xy[0]), xy[1]], -120);
xynew[0] -= CK.lengthMG;
} else if (octant === 7) {
xynew = rotate([(2 * CK.lengthMG - xy[0]), xy[1]], -60);
xynew[0] -= CK.lengthMG;
} else if (octant === 8) {
xynew = rotate([(2 * CK.lengthMG - xy[0]), xy[1]], -120);
xynew[0] += CK.lengthMG;
} else {
// TODO trap this some way.
// ERROR!
// print "Error converting to M-map coordinates; there is no Octant octant!\n";
console.log('mj2g: something weird happened!');
return xynew;
}
xynew[1] += CK.yTranslate;
return xynew;
}
// general CK map projection
function forward(λ, φ) {
// λ, φ are in radians.
var lon = λ * degrees,
lat = φ * degrees,
res = ll2mp(lon, lat),
m = res[0],
p = res[1],
s = res[2],
o = res[3],
xy = mp2xy(m, p),
mm = mj2g([xy[0], s * xy[1]], o);
return mm;
}
return forward;
}
function cahillKeyesProjection() {
var mg = 10000,
m = projectionMutator(cahillKeyes),
p = m(mg);
return p;
}
(d3.geo.cahillKeyes = cahillKeyesProjection).raw = cahillKeyes;
})();
d3 = function() {
var d3 = {
version: "3.1.8"
};
if (!Date.now) Date.now = function() {
return +new Date();
};
var d3_document = document, d3_window = window;
try {
d3_document.createElement("div").style.setProperty("opacity", 0, "");
} catch (error) {
var d3_style_prototype = d3_window.CSSStyleDeclaration.prototype, d3_style_setProperty = d3_style_prototype.setProperty;
d3_style_prototype.setProperty = function(name, value, priority) {
d3_style_setProperty.call(this, name, value + "", priority);
};
}
d3.ascending = function(a, b) {
return a < b ? -1 : a > b ? 1 : a >= b ? 0 : NaN;
};
d3.descending = function(a, b) {
return b < a ? -1 : b > a ? 1 : b >= a ? 0 : NaN;
};
d3.min = function(array, f) {
var i = -1, n = array.length, a, b;
if (arguments.length === 1) {
while (++i < n && ((a = array[i]) == null || a != a)) a = undefined;
while (++i < n) if ((b = array[i]) != null && a > b) a = b;
} else {
while (++i < n && ((a = f.call(array, array[i], i)) == null || a != a)) a = undefined;
while (++i < n) if ((b = f.call(array, array[i], i)) != null && a > b) a = b;
}
return a;
};
d3.max = function(array, f) {
var i = -1, n = array.length, a, b;
if (arguments.length === 1) {
while (++i < n && ((a = array[i]) == null || a != a)) a = undefined;
while (++i < n) if ((b = array[i]) != null && b > a) a = b;
} else {
while (++i < n && ((a = f.call(array, array[i], i)) == null || a != a)) a = undefined;
while (++i < n) if ((b = f.call(array, array[i], i)) != null && b > a) a = b;
}
return a;
};
d3.extent = function(array, f) {
var i = -1, n = array.length, a, b, c;
if (arguments.length === 1) {
while (++i < n && ((a = c = array[i]) == null || a != a)) a = c = undefined;
while (++i < n) if ((b = array[i]) != null) {
if (a > b) a = b;
if (c < b) c = b;
}
} else {
while (++i < n && ((a = c = f.call(array, array[i], i)) == null || a != a)) a = undefined;
while (++i < n) if ((b = f.call(array, array[i], i)) != null) {
if (a > b) a = b;
if (c < b) c = b;
}
}
return [ a, c ];
};
d3.sum = function(array, f) {
var s = 0, n = array.length, a, i = -1;
if (arguments.length === 1) {
while (++i < n) if (!isNaN(a = +array[i])) s += a;
} else {
while (++i < n) if (!isNaN(a = +f.call(array, array[i], i))) s += a;
}
return s;
};
function d3_number(x) {
return x != null && !isNaN(x);
}
d3.mean = function(array, f) {
var n = array.length, a, m = 0, i = -1, j = 0;
if (arguments.length === 1) {
while (++i < n) if (d3_number(a = array[i])) m += (a - m) / ++j;
} else {
while (++i < n) if (d3_number(a = f.call(array, array[i], i))) m += (a - m) / ++j;
}
return j ? m : undefined;
};
d3.quantile = function(values, p) {
var H = (values.length - 1) * p + 1, h = Math.floor(H), v = +values[h - 1], e = H - h;
return e ? v + e * (values[h] - v) : v;
};
d3.median = function(array, f) {
if (arguments.length > 1) array = array.map(f);
array = array.filter(d3_number);
return array.length ? d3.quantile(array.sort(d3.ascending), .5) : undefined;
};
d3.bisector = function(f) {
return {
left: function(a, x, lo, hi) {
if (arguments.length < 3) lo = 0;
if (arguments.length < 4) hi = a.length;
while (lo < hi) {
var mid = lo + hi >>> 1;
if (f.call(a, a[mid], mid) < x) lo = mid + 1; else hi = mid;
}
return lo;
},
right: function(a, x, lo, hi) {
if (arguments.length < 3) lo = 0;
if (arguments.length < 4) hi = a.length;
while (lo < hi) {
var mid = lo + hi >>> 1;
if (x < f.call(a, a[mid], mid)) hi = mid; else lo = mid + 1;
}
return lo;
}
};
};
var d3_bisector = d3.bisector(function(d) {
return d;
});
d3.bisectLeft = d3_bisector.left;
d3.bisect = d3.bisectRight = d3_bisector.right;
d3.shuffle = function(array) {
var m = array.length, t, i;
while (m) {
i = Math.random() * m-- | 0;
t = array[m], array[m] = array[i], array[i] = t;
}
return array;
};
d3.permute = function(array, indexes) {
var permutes = [], i = -1, n = indexes.length;
while (++i < n) permutes[i] = array[indexes[i]];
return permutes;
};
d3.zip = function() {
if (!(n = arguments.length)) return [];
for (var i = -1, m = d3.min(arguments, d3_zipLength), zips = new Array(m); ++i < m; ) {
for (var j = -1, n, zip = zips[i] = new Array(n); ++j < n; ) {
zip[j] = arguments[j][i];
}
}
return zips;
};
function d3_zipLength(d) {
return d.length;
}
d3.transpose = function(matrix) {
return d3.zip.apply(d3, matrix);
};
d3.keys = function(map) {
var keys = [];
for (var key in map) keys.push(key);
return keys;
};
d3.values = function(map) {
var values = [];
for (var key in map) values.push(map[key]);
return values;
};
d3.entries = function(map) {
var entries = [];
for (var key in map) entries.push({
key: key,
value: map[key]
});
return entries;
};
d3.merge = function(arrays) {
return Array.prototype.concat.apply([], arrays);
};
d3.range = function(start, stop, step) {
if (arguments.length < 3) {
step = 1;
if (arguments.length < 2) {
stop = start;
start = 0;
}
}
if ((stop - start) / step === Infinity) throw new Error("infinite range");
var range = [], k = d3_range_integerScale(Math.abs(step)), i = -1, j;
start *= k, stop *= k, step *= k;
if (step < 0) while ((j = start + step * ++i) > stop) range.push(j / k); else while ((j = start + step * ++i) < stop) range.push(j / k);
return range;
};
function d3_range_integerScale(x) {
var k = 1;
while (x * k % 1) k *= 10;
return k;
}
function d3_class(ctor, properties) {
try {
for (var key in properties) {
Object.defineProperty(ctor.prototype, key, {
value: properties[key],
enumerable: false
});
}
} catch (e) {
ctor.prototype = properties;
}
}
d3.map = function(object) {
var map = new d3_Map();
for (var key in object) map.set(key, object[key]);
return map;
};
function d3_Map() {}
d3_class(d3_Map, {
has: function(key) {
return d3_map_prefix + key in this;
},
get: function(key) {
return this[d3_map_prefix + key];
},
set: function(key, value) {
return this[d3_map_prefix + key] = value;
},
remove: function(key) {
key = d3_map_prefix + key;
return key in this && delete this[key];
},
keys: function() {
var keys = [];
this.forEach(function(key) {
keys.push(key);
});
return keys;
},
values: function() {
var values = [];
this.forEach(function(key, value) {
values.push(value);
});
return values;
},
entries: function() {
var entries = [];
this.forEach(function(key, value) {
entries.push({
key: key,
value: value
});
});
return entries;
},
forEach: function(f) {
for (var key in this) {
if (key.charCodeAt(0) === d3_map_prefixCode) {
f.call(this, key.substring(1), this[key]);
}
}
}
});
var d3_map_prefix = "\0", d3_map_prefixCode = d3_map_prefix.charCodeAt(0);
d3.nest = function() {
var nest = {}, keys = [], sortKeys = [], sortValues, rollup;
function map(mapType, array, depth) {
if (depth >= keys.length) return rollup ? rollup.call(nest, array) : sortValues ? array.sort(sortValues) : array;
var i = -1, n = array.length, key = keys[depth++], keyValue, object, setter, valuesByKey = new d3_Map(), values;
while (++i < n) {
if (values = valuesByKey.get(keyValue = key(object = array[i]))) {
values.push(object);
} else {
valuesByKey.set(keyValue, [ object ]);
}
}
if (mapType) {
object = mapType();
setter = function(keyValue, values) {
object.set(keyValue, map(mapType, values, depth));
};
} else {
object = {};
setter = function(keyValue, values) {
object[keyValue] = map(mapType, values, depth);
};
}
valuesByKey.forEach(setter);
return object;
}
function entries(map, depth) {
if (depth >= keys.length) return map;
var array = [], sortKey = sortKeys[depth++];
map.forEach(function(key, keyMap) {
array.push({
key: key,
values: entries(keyMap, depth)
});
});
return sortKey ? array.sort(function(a, b) {
return sortKey(a.key, b.key);
}) : array;
}
nest.map = function(array, mapType) {
return map(mapType, array, 0);
};
nest.entries = function(array) {
return entries(map(d3.map, array, 0), 0);
};
nest.key = function(d) {
keys.push(d);
return nest;
};
nest.sortKeys = function(order) {
sortKeys[keys.length - 1] = order;
return nest;
};
nest.sortValues = function(order) {
sortValues = order;
return nest;
};
nest.rollup = function(f) {
rollup = f;
return nest;
};
return nest;
};
d3.set = function(array) {
var set = new d3_Set();
if (array) for (var i = 0; i < array.length; i++) set.add(array[i]);
return set;
};
function d3_Set() {}
d3_class(d3_Set, {
has: function(value) {
return d3_map_prefix + value in this;
},
add: function(value) {
this[d3_map_prefix + value] = true;
return value;
},
remove: function(value) {
value = d3_map_prefix + value;
return value in this && delete this[value];
},
values: function() {
var values = [];
this.forEach(function(value) {
values.push(value);
});
return values;
},
forEach: function(f) {
for (var value in this) {
if (value.charCodeAt(0) === d3_map_prefixCode) {
f.call(this, value.substring(1));
}
}
}
});
d3.behavior = {};
d3.rebind = function(target, source) {
var i = 1, n = arguments.length, method;
while (++i < n) target[method = arguments[i]] = d3_rebind(target, source, source[method]);
return target;
};
function d3_rebind(target, source, method) {
return function() {
var value = method.apply(source, arguments);
return value === source ? target : value;
};
}
d3.dispatch = function() {
var dispatch = new d3_dispatch(), i = -1, n = arguments.length;
while (++i < n) dispatch[arguments[i]] = d3_dispatch_event(dispatch);
return dispatch;
};
function d3_dispatch() {}
d3_dispatch.prototype.on = function(type, listener) {
var i = type.indexOf("."), name = "";
if (i >= 0) {
name = type.substring(i + 1);
type = type.substring(0, i);
}
if (type) return arguments.length < 2 ? this[type].on(name) : this[type].on(name, listener);
if (arguments.length === 2) {
if (listener == null) for (type in this) {
if (this.hasOwnProperty(type)) this[type].on(name, null);
}
return this;
}
};
function d3_dispatch_event(dispatch) {
var listeners = [], listenerByName = new d3_Map();
function event() {
var z = listeners, i = -1, n = z.length, l;
while (++i < n) if (l = z[i].on) l.apply(this, arguments);
return dispatch;
}
event.on = function(name, listener) {
var l = listenerByName.get(name), i;
if (arguments.length < 2) return l && l.on;
if (l) {
l.on = null;
listeners = listeners.slice(0, i = listeners.indexOf(l)).concat(listeners.slice(i + 1));
listenerByName.remove(name);
}
if (listener) listeners.push(listenerByName.set(name, {
on: listener
}));
return dispatch;
};
return event;
}
d3.event = null;
function d3_eventCancel() {
d3.event.stopPropagation();
d3.event.preventDefault();
}
function d3_eventSource() {
var e = d3.event, s;
while (s = e.sourceEvent) e = s;
return e;
}
function d3_eventSuppress(target, type) {
function off() {
target.on(type, null);
}
target.on(type, function() {
d3_eventCancel();
off();
}, true);
setTimeout(off, 0);
}
function d3_eventDispatch(target) {
var dispatch = new d3_dispatch(), i = 0, n = arguments.length;
while (++i < n) dispatch[arguments[i]] = d3_dispatch_event(dispatch);
dispatch.of = function(thiz, argumentz) {
return function(e1) {
try {
var e0 = e1.sourceEvent = d3.event;
e1.target = target;
d3.event = e1;
dispatch[e1.type].apply(thiz, argumentz);
} finally {
d3.event = e0;
}
};
};
return dispatch;
}
d3.mouse = function(container) {
return d3_mousePoint(container, d3_eventSource());
};
var d3_mouse_bug44083 = /WebKit/.test(d3_window.navigator.userAgent) ? -1 : 0;
function d3_mousePoint(container, e) {
var svg = container.ownerSVGElement || container;
if (svg.createSVGPoint) {
var point = svg.createSVGPoint();
if (d3_mouse_bug44083 < 0 && (d3_window.scrollX || d3_window.scrollY)) {
svg = d3.select(d3_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 ];
}
var d3_array = d3_arraySlice;
function d3_arrayCopy(pseudoarray) {
var i = -1, n = pseudoarray.length, array = [];
while (++i < n) array.push(pseudoarray[i]);
return array;
}
function d3_arraySlice(pseudoarray) {
return Array.prototype.slice.call(pseudoarray);
}
try {
d3_array(d3_document.documentElement.childNodes)[0].nodeType;
} catch (e) {
d3_array = d3_arrayCopy;
}
var d3_arraySubclass = [].__proto__ ? function(array, prototype) {
array.__proto__ = prototype;
} : function(array, prototype) {
for (var property in prototype) array[property] = prototype[property];
};
d3.touches = function(container, touches) {
if (arguments.length < 2) touches = d3_eventSource().touches;
return touches ? d3_array(touches).map(function(touch) {
var point = d3_mousePoint(container, touch);
point.identifier = touch.identifier;
return point;
}) : [];
};
d3.behavior.drag = function() {
var event = d3_eventDispatch(drag, "drag", "dragstart", "dragend"), origin = null;
function drag() {
this.on("mousedown.drag", mousedown).on("touchstart.drag", mousedown);
}
function mousedown() {
var target = this, event_ = event.of(target, arguments), eventTarget = d3.event.target, touchId = d3.event.touches ? d3.event.changedTouches[0].identifier : null, offset, origin_ = point(), moved = 0;
var w = d3.select(d3_window).on(touchId != null ? "touchmove.drag-" + touchId : "mousemove.drag", dragmove).on(touchId != null ? "touchend.drag-" + touchId : "mouseup.drag", dragend, true);
if (origin) {
offset = origin.apply(target, arguments);
offset = [ offset.x - origin_[0], offset.y - origin_[1] ];
} else {
offset = [ 0, 0 ];
}
if (touchId == null) d3_eventCancel();
event_({
type: "dragstart"
});
function point() {
var p = target.parentNode;
return touchId != null ? d3.touches(p).filter(function(p) {
return p.identifier === touchId;
})[0] : d3.mouse(p);
}
function dragmove() {
if (!target.parentNode) return dragend();
var p = point(), dx = p[0] - origin_[0], dy = p[1] - origin_[1];
moved |= dx | dy;
origin_ = p;
d3_eventCancel();
event_({
type: "drag",
x: p[0] + offset[0],
y: p[1] + offset[1],
dx: dx,
dy: dy
});
}
function dragend() {
event_({
type: "dragend"
});
if (moved) {
d3_eventCancel();
if (d3.event.target === eventTarget) d3_eventSuppress(w, "click");
}
w.on(touchId != null ? "touchmove.drag-" + touchId : "mousemove.drag", null).on(touchId != null ? "touchend.drag-" + touchId : "mouseup.drag", null);
}
}
drag.origin = function(x) {
if (!arguments.length) return origin;
origin = x;
return drag;
};
return d3.rebind(drag, event, "on");
};
function d3_selection(groups) {
d3_arraySubclass(groups, d3_selectionPrototype);
return groups;
}
var d3_select = function(s, n) {
return n.querySelector(s);
}, d3_selectAll = function(s, n) {
return n.querySelectorAll(s);
}, d3_selectRoot = d3_document.documentElement, d3_selectMatcher = d3_selectRoot.matchesSelector || d3_selectRoot.webkitMatchesSelector || d3_selectRoot.mozMatchesSelector || d3_selectRoot.msMatchesSelector || d3_selectRoot.oMatchesSelector, d3_selectMatches = function(n, s) {
return d3_selectMatcher.call(n, s);
};
if (typeof Sizzle === "function") {
d3_select = function(s, n) {
return Sizzle(s, n)[0] || null;
};
d3_selectAll = function(s, n) {
return Sizzle.uniqueSort(Sizzle(s, n));
};
d3_selectMatches = Sizzle.matchesSelector;
}
d3.selection = function() {
return d3_selectionRoot;
};
var d3_selectionPrototype = d3.selection.prototype = [];
d3_selectionPrototype.select = function(selector) {
var subgroups = [], subgroup, subnode, group, node;
if (typeof selector !== "function") selector = d3_selection_selector(selector);
for (var j = -1, m = this.length; ++j < m; ) {
subgroups.push(subgroup = []);
subgroup.parentNode = (group = this[j]).parentNode;
for (var i = -1, n = group.length; ++i < n; ) {
if (node = group[i]) {
subgroup.push(subnode = selector.call(node, node.__data__, i));
if (subnode && "__data__" in node) subnode.__data__ = node.__data__;
} else {
subgroup.push(null);
}
}
}
return d3_selection(subgroups);
};
function d3_selection_selector(selector) {
return function() {
return d3_select(selector, this);
};
}
d3_selectionPrototype.selectAll = function(selector) {
var subgroups = [], subgroup, node;
if (typeof selector !== "function") selector = d3_selection_selectorAll(selector);
for (var j = -1, m = this.length; ++j < m; ) {
for (var group = this[j], i = -1, n = group.length; ++i < n; ) {
if (node = group[i]) {
subgroups.push(subgroup = d3_array(selector.call(node, node.__data__, i)));
subgroup.parentNode = node;
}
}
}
return d3_selection(subgroups);
};
function d3_selection_selectorAll(selector) {
return function() {
return d3_selectAll(selector, this);
};
}
var d3_nsPrefix = {
svg: "http://www.w3.org/2000/svg",
xhtml: "http://www.w3.org/1999/xhtml",
xlink: "http://www.w3.org/1999/xlink",
xml: "http://www.w3.org/XML/1998/namespace",
xmlns: "http://www.w3.org/2000/xmlns/"
};
d3.ns = {
prefix: d3_nsPrefix,
qualify: function(name) {
var i = name.indexOf(":"), prefix = name;
if (i >= 0) {
prefix = name.substring(0, i);
name = name.substring(i + 1);
}
return d3_nsPrefix.hasOwnProperty(prefix) ? {
space: d3_nsPrefix[prefix],
local: name
} : name;
}
};
d3_selectionPrototype.attr = function(name, value) {
if (arguments.length < 2) {
if (typeof name === "string") {
var node = this.node();
name = d3.ns.qualify(name);
return name.local ? node.getAttributeNS(name.space, name.local) : node.getAttribute(name);
}
for (value in name) this.each(d3_selection_attr(value, name[value]));
return this;
}
return this.each(d3_selection_attr(name, value));
};
function d3_selection_attr(name, value) {
name = d3.ns.qualify(name);
function attrNull() {
this.removeAttribute(name);
}
function attrNullNS() {
this.removeAttributeNS(name.space, name.local);
}
function attrConstant() {
this.setAttribute(name, value);
}
function attrConstantNS() {
this.setAttributeNS(name.space, name.local, value);
}
function attrFunction() {
var x = value.apply(this, arguments);
if (x == null) this.removeAttribute(name); else this.setAttribute(name, x);
}
function attrFunctionNS() {
var x = value.apply(this, arguments);
if (x == null) this.removeAttributeNS(name.space, name.local); else this.setAttributeNS(name.space, name.local, x);
}
return value == null ? name.local ? attrNullNS : attrNull : typeof value === "function" ? name.local ? attrFunctionNS : attrFunction : name.local ? attrConstantNS : attrConstant;
}
function d3_collapse(s) {
return s.trim().replace(/\s+/g, " ");
}
d3.requote = function(s) {
return s.replace(d3_requote_re, "\\$&");
};
var d3_requote_re = /[\\\^\$\*\+\?\|\[\]\(\)\.\{\}]/g;
d3_selectionPrototype.classed = function(name, value) {
if (arguments.length < 2) {
if (typeof name === "string") {
var node = this.node(), n = (name = name.trim().split(/^|\s+/g)).length, i = -1;
if (value = node.classList) {
while (++i < n) if (!value.contains(name[i])) return false;
} else {
value = node.getAttribute("class");
while (++i < n) if (!d3_selection_classedRe(name[i]).test(value)) return false;
}
return true;
}
for (value in name) this.each(d3_selection_classed(value, name[value]));
return this;
}
return this.each(d3_selection_classed(name, value));
};
function d3_selection_classedRe(name) {
return new RegExp("(?:^|\\s+)" + d3.requote(name) + "(?:\\s+|$)", "g");
}
function d3_selection_classed(name, value) {
name = name.trim().split(/\s+/).map(d3_selection_classedName);
var n = name.length;
function classedConstant() {
var i = -1;
while (++i < n) name[i](this, value);
}
function classedFunction() {
var i = -1, x = value.apply(this, arguments);
while (++i < n) name[i](this, x);
}
return typeof value === "function" ? classedFunction : classedConstant;
}
function d3_selection_classedName(name) {
var re = d3_selection_classedRe(name);
return function(node, value) {
if (c = node.classList) return value ? c.add(name) : c.remove(name);
var c = node.getAttribute("class") || "";
if (value) {
re.lastIndex = 0;
if (!re.test(c)) node.setAttribute("class", d3_collapse(c + " " + name));
} else {
node.setAttribute("class", d3_collapse(c.replace(re, " ")));
}
};
}
d3_selectionPrototype.style = function(name, value, priority) {
var n = arguments.length;
if (n < 3) {
if (typeof name !== "string") {
if (n < 2) value = "";
for (priority in name) this.each(d3_selection_style(priority, name[priority], value));
return this;
}
if (n < 2) return d3_window.getComputedStyle(this.node(), null).getPropertyValue(name);
priority = "";
}
return this.each(d3_selection_style(name, value, priority));
};
function d3_selection_style(name, value, priority) {
function styleNull() {
this.style.removeProperty(name);
}
function styleConstant() {
this.style.setProperty(name, value, priority);
}
function styleFunction() {
var x = value.apply(this, arguments);
if (x == null) this.style.removeProperty(name); else this.style.setProperty(name, x, priority);
}
return value == null ? styleNull : typeof value === "function" ? styleFunction : styleConstant;
}
d3_selectionPrototype.property = function(name, value) {
if (arguments.length < 2) {
if (typeof name === "string") return this.node()[name];
for (value in name) this.each(d3_selection_property(value, name[value]));
return this;
}
return this.each(d3_selection_property(name, value));
};
function d3_selection_property(name, value) {
function propertyNull() {
delete this[name];
}
function propertyConstant() {
this[name] = value;
}
function propertyFunction() {
var x = value.apply(this, arguments);
if (x == null) delete this[name]; else this[name] = x;
}
return value == null ? propertyNull : typeof value === "function" ? propertyFunction : propertyConstant;
}
d3_selectionPrototype.text = function(value) {
return arguments.length ? this.each(typeof value === "function" ? function() {
var v = value.apply(this, arguments);
this.textContent = v == null ? "" : v;
} : value == null ? function() {
this.textContent = "";
} : function() {
this.textContent = value;
}) : this.node().textContent;
};
d3_selectionPrototype.html = function(value) {
return arguments.length ? this.each(typeof value === "function" ? function() {
var v = value.apply(this, arguments);
this.innerHTML = v == null ? "" : v;
} : value == null ? function() {
this.innerHTML = "";
} : function() {
this.innerHTML = value;
}) : this.node().innerHTML;
};
d3_selectionPrototype.append = function(name) {
name = d3.ns.qualify(name);
function append() {
return this.appendChild(d3_document.createElementNS(this.namespaceURI, name));
}
function appendNS() {
return this.appendChild(d3_document.createElementNS(name.space, name.local));
}
return this.select(name.local ? appendNS : append);
};
d3_selectionPrototype.insert = function(name, before) {
name = d3.ns.qualify(name);
if (typeof before !== "function") before = d3_selection_selector(before);
function insert(d, i) {
return this.insertBefore(d3_document.createElementNS(this.namespaceURI, name), before.call(this, d, i));
}
function insertNS(d, i) {
return this.insertBefore(d3_document.createElementNS(name.space, name.local), before.call(this, d, i));
}
return this.select(name.local ? insertNS : insert);
};
d3_selectionPrototype.remove = function() {
return this.each(function() {
var parent = this.parentNode;
if (parent) parent.removeChild(this);
});
};
d3_selectionPrototype.data = function(value, key) {
var i = -1, n = this.length, group, node;
if (!arguments.length) {
value = new Array(n = (group = this[0]).length);
while (++i < n) {
if (node = group[i]) {
value[i] = node.__data__;
}
}
return value;
}
function bind(group, groupData) {
var i, n = group.length, m = groupData.length, n0 = Math.min(n, m), updateNodes = new Array(m), enterNodes = new Array(m), exitNodes = new Array(n), node, nodeData;
if (key) {
var nodeByKeyValue = new d3_Map(), dataByKeyValue = new d3_Map(), keyValues = [], keyValue;
for (i = -1; ++i < n; ) {
keyValue = key.call(node = group[i], node.__data__, i);
if (nodeByKeyValue.has(keyValue)) {
exitNodes[i] = node;
} else {
nodeByKeyValue.set(keyValue, node);
}
keyValues.push(keyValue);
}
for (i = -1; ++i < m; ) {
keyValue = key.call(groupData, nodeData = groupData[i], i);
if (node = nodeByKeyValue.get(keyValue)) {
updateNodes[i] = node;
node.__data__ = nodeData;
} else if (!dataByKeyValue.has(keyValue)) {
enterNodes[i] = d3_selection_dataNode(nodeData);
}
dataByKeyValue.set(keyValue, nodeData);
nodeByKeyValue.remove(keyValue);
}
for (i = -1; ++i < n; ) {
if (nodeByKeyValue.has(keyValues[i])) {
exitNodes[i] = group[i];
}
}
} else {
for (i = -1; ++i < n0; ) {
node = group[i];
nodeData = groupData[i];
if (node) {
node.__data__ = nodeData;
updateNodes[i] = node;
} else {
enterNodes[i] = d3_selection_dataNode(nodeData);
}
}
for (;i < m; ++i) {
enterNodes[i] = d3_selection_dataNode(groupData[i]);
}
for (;i < n; ++i) {
exitNodes[i] = group[i];
}
}
enterNodes.update = updateNodes;
enterNodes.parentNode = updateNodes.parentNode = exitNodes.parentNode = group.parentNode;
enter.push(enterNodes);
update.push(updateNodes);
exit.push(exitNodes);
}
var enter = d3_selection_enter([]), update = d3_selection([]), exit = d3_selection([]);
if (typeof value === "function") {
while (++i < n) {
bind(group = this[i], value.call(group, group.parentNode.__data__, i));
}
} else {
while (++i < n) {
bind(group = this[i], value);
}
}
update.enter = function() {
return enter;
};
update.exit = function() {
return exit;
};
return update;
};
function d3_selection_dataNode(data) {
return {
__data__: data
};
}
d3_selectionPrototype.datum = function(value) {
return arguments.length ? this.property("__data__", value) : this.property("__data__");
};
d3_selectionPrototype.filter = function(filter) {
var subgroups = [], subgroup, group, node;
if (typeof filter !== "function") filter = d3_selection_filter(filter);
for (var j = 0, m = this.length; j < m; j++) {
subgroups.push(subgroup = []);
subgroup.parentNode = (group = this[j]).parentNode;
for (var i = 0, n = group.length; i < n; i++) {
if ((node = group[i]) && filter.call(node, node.__data__, i)) {
subgroup.push(node);
}
}
}
return d3_selection(subgroups);
};
function d3_selection_filter(selector) {
return function() {
return d3_selectMatches(this, selector);
};
}
d3_selectionPrototype.order = function() {
for (var j = -1, m = this.length; ++j < m; ) {
for (var group = this[j], i = group.length - 1, next = group[i], node; --i >= 0; ) {
if (node = group[i]) {
if (next && next !== node.nextSibling) next.parentNode.insertBefore(node, next);
next = node;
}
}
}
return this;
};
d3_selectionPrototype.sort = function(comparator) {
comparator = d3_selection_sortComparator.apply(this, arguments);
for (var j = -1, m = this.length; ++j < m; ) this[j].sort(comparator);
return this.order();
};
function d3_selection_sortComparator(comparator) {
if (!arguments.length) comparator = d3.ascending;
return function(a, b) {
return !a - !b || comparator(a.__data__, b.__data__);
};
}
function d3_noop() {}
d3_selectionPrototype.on = function(type, listener, capture) {
var n = arguments.length;
if (n < 3) {
if (typeof type !== "string") {
if (n < 2) listener = false;
for (capture in type) this.each(d3_selection_on(capture, type[capture], listener));
return this;
}
if (n < 2) return (n = this.node()["__on" + type]) && n._;
capture = false;
}
return this.each(d3_selection_on(type, listener, capture));
};
function d3_selection_on(type, listener, capture) {
var name = "__on" + type, i = type.indexOf("."), wrap = d3_selection_onListener;
if (i > 0) type = type.substring(0, i);
var filter = d3_selection_onFilters.get(type);
if (filter) type = filter, wrap = d3_selection_onFilter;
function onRemove() {
var l = this[name];
if (l) {
this.removeEventListener(type, l, l.$);
delete this[name];
}
}
function onAdd() {
var l = wrap(listener, d3_array(arguments));
onRemove.call(this);
this.addEventListener(type, this[name] = l, l.$ = capture);
l._ = listener;
}
function removeAll() {
var re = new RegExp("^__on([^.]+)" + d3.requote(type) + "$"), match;
for (var name in this) {
if (match = name.match(re)) {
var l = this[name];
this.removeEventListener(match[1], l, l.$);
delete this[name];
}
}
}
return i ? listener ? onAdd : onRemove : listener ? d3_noop : removeAll;
}
var d3_selection_onFilters = d3.map({
mouseenter: "mouseover",
mouseleave: "mouseout"
});
d3_selection_onFilters.forEach(function(k) {
if ("on" + k in d3_document) d3_selection_onFilters.remove(k);
});
function d3_selection_onListener(listener, argumentz) {
return function(e) {
var o = d3.event;
d3.event = e;
argumentz[0] = this.__data__;
try {
listener.apply(this, argumentz);
} finally {
d3.event = o;
}
};
}
function d3_selection_onFilter(listener, argumentz) {
var l = d3_selection_onListener(listener, argumentz);
return function(e) {
var target = this, related = e.relatedTarget;
if (!related || related !== target && !(related.compareDocumentPosition(target) & 8)) {
l.call(target, e);
}
};
}
d3_selectionPrototype.each = function(callback) {
return d3_selection_each(this, function(node, i, j) {
callback.call(node, node.__data__, i, j);
});
};
function d3_selection_each(groups, callback) {
for (var j = 0, m = groups.length; j < m; j++) {
for (var group = groups[j], i = 0, n = group.length, node; i < n; i++) {
if (node = group[i]) callback(node, i, j);
}
}
return groups;
}
d3_selectionPrototype.call = function(callback) {
var args = d3_array(arguments);
callback.apply(args[0] = this, args);
return this;
};
d3_selectionPrototype.empty = function() {
return !this.node();
};
d3_selectionPrototype.node = function() {
for (var j = 0, m = this.length; j < m; j++) {
for (var group = this[j], i = 0, n = group.length; i < n; i++) {
var node = group[i];
if (node) return node;
}
}
return null;
};
function d3_selection_enter(selection) {
d3_arraySubclass(selection, d3_selection_enterPrototype);
return selection;
}
var d3_selection_enterPrototype = [];
d3.selection.enter = d3_selection_enter;
d3.selection.enter.prototype = d3_selection_enterPrototype;
d3_selection_enterPrototype.append = d3_selectionPrototype.append;
d3_selection_enterPrototype.insert = d3_selectionPrototype.insert;
d3_selection_enterPrototype.empty = d3_selectionPrototype.empty;
d3_selection_enterPrototype.node = d3_selectionPrototype.node;
d3_selection_enterPrototype.select = function(selector) {
var subgroups = [], subgroup, subnode, upgroup, group, node;
for (var j = -1, m = this.length; ++j < m; ) {
upgroup = (group = this[j]).update;
subgroups.push(subgroup = []);
subgroup.parentNode = group.parentNode;
for (var i = -1, n = group.length; ++i < n; ) {
if (node = group[i]) {
subgroup.push(upgroup[i] = subnode = selector.call(group.parentNode, node.__data__, i));
subnode.__data__ = node.__data__;
} else {
subgroup.push(null);
}
}
}
return d3_selection(subgroups);
};
d3_selectionPrototype.transition = function() {
var id = d3_transitionInheritId || ++d3_transitionId, subgroups = [], subgroup, node, transition = Object.create(d3_transitionInherit);
transition.time = Date.now();
for (var j = -1, m = this.length; ++j < m; ) {
subgroups.push(subgroup = []);
for (var group = this[j], i = -1, n = group.length; ++i < n; ) {
if (node = group[i]) d3_transitionNode(node, i, id, transition);
subgroup.push(node);
}
}
return d3_transition(subgroups, id);
};
d3.select = function(node) {
var group = [ typeof node === "string" ? d3_select(node, d3_document) : node ];
group.parentNode = d3_selectRoot;
return d3_selection([ group ]);
};
d3.selectAll = function(nodes) {
var group = d3_array(typeof nodes === "string" ? d3_selectAll(nodes, d3_document) : nodes);
group.parentNode = d3_selectRoot;
return d3_selection([ group ]);
};
var d3_selectionRoot = d3.select(d3_selectRoot);
d3.behavior.zoom = function() {
var translate = [ 0, 0 ], translate0, scale = 1, scale0, scaleExtent = d3_behavior_zoomInfinity, event = d3_eventDispatch(zoom, "zoom"), x0, x1, y0, y1, touchtime;
function zoom() {
this.on("mousedown.zoom", mousedown).on("mousemove.zoom", mousemove).on(d3_behavior_zoomWheel + ".zoom", mousewheel).on("dblclick.zoom", dblclick).on("touchstart.zoom", touchstart).on("touchmove.zoom", touchmove).on("touchend.zoom", touchstart);
}
zoom.translate = function(x) {
if (!arguments.length) return translate;
translate = x.map(Number);
rescale();
return zoom;
};
zoom.scale = function(x) {
if (!arguments.length) return scale;
scale = +x;
rescale();
return zoom;
};
zoom.scaleExtent = function(x) {
if (!arguments.length) return scaleExtent;
scaleExtent = x == null ? d3_behavior_zoomInfinity : x.map(Number);
return zoom;
};
zoom.x = function(z) {
if (!arguments.length) return x1;
x1 = z;
x0 = z.copy();
translate = [ 0, 0 ];
scale = 1;
return zoom;
};
zoom.y = function(z) {
if (!arguments.length) return y1;
y1 = z;
y0 = z.copy();
translate = [ 0, 0 ];
scale = 1;
return zoom;
};
function location(p) {
return [ (p[0] - translate[0]) / scale, (p[1] - translate[1]) / scale ];
}
function point(l) {
return [ l[0] * scale + translate[0], l[1] * scale + translate[1] ];
}
function scaleTo(s) {
scale = Math.max(scaleExtent[0], Math.min(scaleExtent[1], s));
}
function translateTo(p, l) {
l = point(l);
translate[0] += p[0] - l[0];
translate[1] += p[1] - l[1];
}
function rescale() {
if (x1) x1.domain(x0.range().map(function(x) {
return (x - translate[0]) / scale;
}).map(x0.invert));
if (y1) y1.domain(y0.range().map(function(y) {
return (y - translate[1]) / scale;
}).map(y0.invert));
}
function dispatch(event) {
rescale();
d3.event.preventDefault();
event({
type: "zoom",
scale: scale,
translate: translate
});
}
function mousedown() {
var target = this, event_ = event.of(target, arguments), eventTarget = d3.event.target, moved = 0, w = d3.select(d3_window).on("mousemove.zoom", mousemove).on("mouseup.zoom", mouseup), l = location(d3.mouse(target));
d3_window.focus();
d3_eventCancel();
function mousemove() {
moved = 1;
translateTo(d3.mouse(target), l);
dispatch(event_);
}
function mouseup() {
if (moved) d3_eventCancel();
w.on("mousemove.zoom", null).on("mouseup.zoom", null);
if (moved && d3.event.target === eventTarget) d3_eventSuppress(w, "click.zoom");
}
}
function mousewheel() {
if (!translate0) translate0 = location(d3.mouse(this));
scaleTo(Math.pow(2, d3_behavior_zoomDelta() * .002) * scale);
translateTo(d3.mouse(this), translate0);
dispatch(event.of(this, arguments));
}
function mousemove() {
translate0 = null;
}
function dblclick() {
var p = d3.mouse(this), l = location(p), k = Math.log(scale) / Math.LN2;
scaleTo(Math.pow(2, d3.event.shiftKey ? Math.ceil(k) - 1 : Math.floor(k) + 1));
translateTo(p, l);
dispatch(event.of(this, arguments));
}
function touchstart() {
var touches = d3.touches(this), now = Date.now();
scale0 = scale;
translate0 = {};
touches.forEach(function(t) {
translate0[t.identifier] = location(t);
});
d3_eventCancel();
if (touches.length === 1) {
if (now - touchtime < 500) {
var p = touches[0], l = location(touches[0]);
scaleTo(scale * 2);
translateTo(p, l);
dispatch(event.of(this, arguments));
}
touchtime = now;
}
}
function touchmove() {
var touches = d3.touches(this), p0 = touches[0], l0 = translate0[p0.identifier];
if (p1 = touches[1]) {
var p1, l1 = translate0[p1.identifier];
p0 = [ (p0[0] + p1[0]) / 2, (p0[1] + p1[1]) / 2 ];
l0 = [ (l0[0] + l1[0]) / 2, (l0[1] + l1[1]) / 2 ];
scaleTo(d3.event.scale * scale0);
}
translateTo(p0, l0);
touchtime = null;
dispatch(event.of(this, arguments));
}
return d3.rebind(zoom, event, "on");
};
var d3_behavior_zoomInfinity = [ 0, Infinity ];
var d3_behavior_zoomDelta, d3_behavior_zoomWheel = "onwheel" in d3_document ? (d3_behavior_zoomDelta = function() {
return -d3.event.deltaY * (d3.event.deltaMode ? 120 : 1);
}, "wheel") : "onmousewheel" in d3_document ? (d3_behavior_zoomDelta = function() {
return d3.event.wheelDelta;
}, "mousewheel") : (d3_behavior_zoomDelta = function() {
return -d3.event.detail;
}, "MozMousePixelScroll");
function d3_Color() {}
d3_Color.prototype.toString = function() {
return this.rgb() + "";
};
d3.hsl = function(h, s, l) {
return arguments.length === 1 ? h instanceof d3_Hsl ? d3_hsl(h.h, h.s, h.l) : d3_rgb_parse("" + h, d3_rgb_hsl, d3_hsl) : d3_hsl(+h, +s, +l);
};
function d3_hsl(h, s, l) {
return new d3_Hsl(h, s, l);
}
function d3_Hsl(h, s, l) {
this.h = h;
this.s = s;
this.l = l;
}
var d3_hslPrototype = d3_Hsl.prototype = new d3_Color();
d3_hslPrototype.brighter = function(k) {
k = Math.pow(.7, arguments.length ? k : 1);
return d3_hsl(this.h, this.s, this.l / k);
};
d3_hslPrototype.darker = function(k) {
k = Math.pow(.7, arguments.length ? k : 1);
return d3_hsl(this.h, this.s, k * this.l);
};
d3_hslPrototype.rgb = function() {
return d3_hsl_rgb(this.h, this.s, this.l);
};
function d3_hsl_rgb(h, s, l) {
var m1, m2;
h = isNaN(h) ? 0 : (h %= 360) < 0 ? h + 360 : h;
s = isNaN(s) ? 0 : 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;
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);
}
return d3_rgb(vv(h + 120), vv(h), vv(h - 120));
}
var π = Math.PI, ε = 1e-6, ε2 = ε * ε, d3_radians = π / 180, d3_degrees = 180 / π;
function d3_sgn(x) {
return x > 0 ? 1 : x < 0 ? -1 : 0;
}
function d3_acos(x) {
return Math.acos(Math.max(-1, Math.min(1, x)));
}
function d3_asin(x) {
return x > 1 ? π / 2 : x < -1 ? -π / 2 : Math.asin(x);
}
function d3_sinh(x) {
return (Math.exp(x) - Math.exp(-x)) / 2;
}
function d3_cosh(x) {
return (Math.exp(x) + Math.exp(-x)) / 2;
}
function d3_haversin(x) {
return (x = Math.sin(x / 2)) * x;
}
d3.hcl = function(h, c, l) {
return arguments.length === 1 ? h instanceof d3_Hcl ? d3_hcl(h.h, h.c, h.l) : h instanceof d3_Lab ? d3_lab_hcl(h.l, h.a, h.b) : d3_lab_hcl((h = d3_rgb_lab((h = d3.rgb(h)).r, h.g, h.b)).l, h.a, h.b) : d3_hcl(+h, +c, +l);
};
function d3_hcl(h, c, l) {
return new d3_Hcl(h, c, l);
}
function d3_Hcl(h, c, l) {
this.h = h;
this.c = c;
this.l = l;
}
var d3_hclPrototype = d3_Hcl.prototype = new d3_Color();
d3_hclPrototype.brighter = function(k) {
return d3_hcl(this.h, this.c, Math.min(100, this.l + d3_lab_K * (arguments.length ? k : 1)));
};
d3_hclPrototype.darker = function(k) {
return d3_hcl(this.h, this.c, Math.max(0, this.l - d3_lab_K * (arguments.length ? k : 1)));
};
d3_hclPrototype.rgb = function() {
return d3_hcl_lab(this.h, this.c, this.l).rgb();
};
function d3_hcl_lab(h, c, l) {
if (isNaN(h)) h = 0;
if (isNaN(c)) c = 0;
return d3_lab(l, Math.cos(h *= d3_radians) * c, Math.sin(h) * c);
}
d3.lab = function(l, a, b) {
return arguments.length === 1 ? l instanceof d3_Lab ? d3_lab(l.l, l.a, l.b) : l instanceof d3_Hcl ? d3_hcl_lab(l.l, l.c, l.h) : d3_rgb_lab((l = d3.rgb(l)).r, l.g, l.b) : d3_lab(+l, +a, +b);
};
function d3_lab(l, a, b) {
return new d3_Lab(l, a, b);
}
function d3_Lab(l, a, b) {
this.l = l;
this.a = a;
this.b = b;
}
var d3_lab_K = 18;
var d3_lab_X = .95047, d3_lab_Y = 1, d3_lab_Z = 1.08883;
var d3_labPrototype = d3_Lab.prototype = new d3_Color();
d3_labPrototype.brighter = function(k) {
return d3_lab(Math.min(100, this.l + d3_lab_K * (arguments.length ? k : 1)), this.a, this.b);
};
d3_labPrototype.darker = function(k) {
return d3_lab(Math.max(0, this.l - d3_lab_K * (arguments.length ? k : 1)), this.a, this.b);
};
d3_labPrototype.rgb = function() {
return d3_lab_rgb(this.l, this.a, this.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));
}
function d3_lab_hcl(l, a, b) {
return l > 0 ? d3_hcl(Math.atan2(b, a) * d3_degrees, Math.sqrt(a * a + b * b), l) : d3_hcl(NaN, NaN, l);
}
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;
}
function d3_xyz_rgb(r) {
return Math.round(255 * (r <= .00304 ? 12.92 * r : 1.055 * Math.pow(r, 1 / 2.4) - .055));
}
d3.rgb = function(r, g, b) {
return arguments.length === 1 ? r instanceof d3_Rgb ? d3_rgb(r.r, r.g, r.b) : d3_rgb_parse("" + r, d3_rgb, d3_hsl_rgb) : d3_rgb(~~r, ~~g, ~~b);
};
function d3_rgb(r, g, b) {
return new d3_Rgb(r, g, b);
}
function d3_Rgb(r, g, b) {
this.r = r;
this.g = g;
this.b = b;
}
var d3_rgbPrototype = d3_Rgb.prototype = new d3_Color();
d3_rgbPrototype.brighter = function(k) {
k = Math.pow(.7, arguments.length ? k : 1);
var r = this.r, g = this.g, b = this.b, i = 30;
if (!r && !g && !b) return d3_rgb(i, i, i);
if (r && r < i) r = i;
if (g && g < i) g = i;
if (b && b < i) b = i;
return d3_rgb(Math.min(255, Math.floor(r / k)), Math.min(255, Math.floor(g / k)), Math.min(255, Math.floor(b / k)));
};
d3_rgbPrototype.darker = function(k) {
k = Math.pow(.7, arguments.length ? k : 1);
return d3_rgb(Math.floor(k * this.r), Math.floor(k * this.g), Math.floor(k * this.b));
};
d3_rgbPrototype.hsl = function() {
return d3_rgb_hsl(this.r, this.g, this.b);
};
d3_rgbPrototype.toString = function() {
return "#" + d3_rgb_hex(this.r) + d3_rgb_hex(this.g) + d3_rgb_hex(this.b);
};
function d3_rgb_hex(v) {
return v < 16 ? "0" + Math.max(0, v).toString(16) : Math.min(255, v).toString(16);
}
function d3_rgb_parse(format, rgb, hsl) {
var r = 0, g = 0, b = 0, m1, m2, name;
m1 = /([a-z]+)\((.*)\)/i.exec(format);
if (m1) {
m2 = m1[2].split(",");
switch (m1[1]) {
case "hsl":
{
return hsl(parseFloat(m2[0]), parseFloat(m2[1]) / 100, parseFloat(m2[2]) / 100);
}
case "rgb":
{
return rgb(d3_rgb_parseNumber(m2[0]), d3_rgb_parseNumber(m2[1]), d3_rgb_parseNumber(m2[2]));
}
}
}
if (name = d3_rgb_names.get(format)) return rgb(name.r, name.g, name.b);
if (format != null && format.charAt(0) === "#") {
if (format.length === 4) {
r = format.charAt(1);
r += r;
g = format.charAt(2);
g += g;
b = format.charAt(3);
b += b;
} else if (format.length === 7) {
r = format.substring(1, 3);
g = format.substring(3, 5);
b = format.substring(5, 7);
}
r = parseInt(r, 16);
g = parseInt(g, 16);
b = parseInt(b, 16);
}
return rgb(r, g, b);
}
function d3_rgb_hsl(r, g, b) {
var min = Math.min(r /= 255, g /= 255, b /= 255), max = Math.max(r, g, b), d = max - min, h, s, l = (max + min) / 2;
if (d) {
s = l < .5 ? d / (max + min) : d / (2 - max - min);
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;
h *= 60;
} else {
h = NaN;
s = l > 0 && l < 1 ? 0 : h;
}
return d3_hsl(h, s, l);
}
function d3_rgb_lab(r, g, b) {
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) {
return (r /= 255) <= .04045 ? r / 12.92 : Math.pow((r + .055) / 1.055, 2.4);
}
function d3_rgb_parseNumber(c) {
var f = parseFloat(c);
return c.charAt(c.length - 1) === "%" ? Math.round(f * 2.55) : f;
}
var d3_rgb_names = d3.map({
aliceblue: "#f0f8ff",
antiquewhite: "#faebd7",
aqua: "#00ffff",
aquamarine: "#7fffd4",
azure: "#f0ffff",
beige: "#f5f5dc",
bisque: "#ffe4c4",
black: "#000000",
blanchedalmond: "#ffebcd",
blue: "#0000ff",
blueviolet: "#8a2be2",
brown: "#a52a2a",
burlywood: "#deb887",
cadetblue: "#5f9ea0",
chartreuse: "#7fff00",
chocolate: "#d2691e",
coral: "#ff7f50",
cornflowerblue: "#6495ed",
cornsilk: "#fff8dc",
crimson: "#dc143c",
cyan: "#00ffff",
darkblue: "#00008b",
darkcyan: "#008b8b",
darkgoldenrod: "#b8860b",
darkgray: "#a9a9a9",
darkgreen: "#006400",
darkgrey: "#a9a9a9",
darkkhaki: "#bdb76b",
darkmagenta: "#8b008b",
darkolivegreen: "#556b2f",
darkorange: "#ff8c00",
darkorchid: "#9932cc",
darkred: "#8b0000",
darksalmon: "#e9967a",
darkseagreen: "#8fbc8f",
darkslateblue: "#483d8b",
darkslategray: "#2f4f4f",
darkslategrey: "#2f4f4f",
darkturquoise: "#00ced1",
darkviolet: "#9400d3",
deeppink: "#ff1493",
deepskyblue: "#00bfff",
dimgray: "#696969",
dimgrey: "#696969",
dodgerblue: "#1e90ff",
firebrick: "#b22222",
floralwhite: "#fffaf0",
forestgreen: "#228b22",
fuchsia: "#ff00ff",
gainsboro: "#dcdcdc",
ghostwhite: "#f8f8ff",
gold: "#ffd700",
goldenrod: "#daa520",
gray: "#808080",
green: "#008000",
greenyellow: "#adff2f",
grey: "#808080",
honeydew: "#f0fff0",
hotpink: "#ff69b4",
indianred: "#cd5c5c",
indigo: "#4b0082",
ivory: "#fffff0",
khaki: "#f0e68c",
lavender: "#e6e6fa",
lavenderblush: "#fff0f5",
lawngreen: "#7cfc00",
lemonchiffon: "#fffacd",
lightblue: "#add8e6",
lightcoral: "#f08080",
lightcyan: "#e0ffff",
lightgoldenrodyellow: "#fafad2",
lightgray: "#d3d3d3",
lightgreen: "#90ee90",
lightgrey: "#d3d3d3",
lightpink: "#ffb6c1",
lightsalmon: "#ffa07a",
lightseagreen: "#20b2aa",
lightskyblue: "#87cefa",
lightslategray: "#778899",
lightslategrey: "#778899",
lightsteelblue: "#b0c4de",
lightyellow: "#ffffe0",
lime: "#00ff00",
limegreen: "#32cd32",
linen: "#faf0e6",
magenta: "#ff00ff",
maroon: "#800000",
mediumaquamarine: "#66cdaa",
mediumblue: "#0000cd",
mediumorchid: "#ba55d3",
mediumpurple: "#9370db",
mediumseagreen: "#3cb371",
mediumslateblue: "#7b68ee",
mediumspringgreen: "#00fa9a",
mediumturquoise: "#48d1cc",
mediumvioletred: "#c71585",
midnightblue: "#191970",
mintcream: "#f5fffa",
mistyrose: "#ffe4e1",
moccasin: "#ffe4b5",
navajowhite: "#ffdead",
navy: "#000080",
oldlace: "#fdf5e6",
olive: "#808000",
olivedrab: "#6b8e23",
orange: "#ffa500",
orangered: "#ff4500",
orchid: "#da70d6",
palegoldenrod: "#eee8aa",
palegreen: "#98fb98",
paleturquoise: "#afeeee",
palevioletred: "#db7093",
papayawhip: "#ffefd5",
peachpuff: "#ffdab9",
peru: "#cd853f",
pink: "#ffc0cb",
plum: "#dda0dd",
powderblue: "#b0e0e6",
purple: "#800080",
red: "#ff0000",
rosybrown: "#bc8f8f",
royalblue: "#4169e1",
saddlebrown: "#8b4513",
salmon: "#fa8072",
sandybrown: "#f4a460",
seagreen: "#2e8b57",
seashell: "#fff5ee",
sienna: "#a0522d",
silver: "#c0c0c0",
skyblue: "#87ceeb",
slateblue: "#6a5acd",
slategray: "#708090",
slategrey: "#708090",
snow: "#fffafa",
springgreen: "#00ff7f",
steelblue: "#4682b4",
tan: "#d2b48c",
teal: "#008080",
thistle: "#d8bfd8",
tomato: "#ff6347",
turquoise: "#40e0d0",
violet: "#ee82ee",
wheat: "#f5deb3",
white: "#ffffff",
whitesmoke: "#f5f5f5",
yellow: "#ffff00",
yellowgreen: "#9acd32"
});
d3_rgb_names.forEach(function(key, value) {
d3_rgb_names.set(key, d3_rgb_parse(value, d3_rgb, d3_hsl_rgb));
});
function d3_functor(v) {
return typeof v === "function" ? v : function() {
return v;
};
}
d3.functor = d3_functor;
function d3_identity(d) {
return d;
}
d3.xhr = function(url, mimeType, callback) {
var xhr = {}, dispatch = d3.dispatch("progress", "load", "error"), headers = {}, response = d3_identity, request = new (d3_window.XDomainRequest && /^(http(s)?:)?\/\//.test(url) ? XDomainRequest : XMLHttpRequest)();
"onload" in request ? request.onload = request.onerror = respond : request.onreadystatechange = function() {
request.readyState > 3 && respond();
};
function respond() {
var s = request.status;
!s && request.responseText || s >= 200 && s < 300 || s === 304 ? dispatch.load.call(xhr, response.call(xhr, request)) : dispatch.error.call(xhr, request);
}
request.onprogress = function(event) {
var o = d3.event;
d3.event = event;
try {
dispatch.progress.call(xhr, request);
} finally {
d3.event = o;
}
};
xhr.header = function(name, value) {
name = (name + "").toLowerCase();
if (arguments.length < 2) return headers[name];
if (value == null) delete headers[name]; else headers[name] = value + "";
return xhr;
};
xhr.mimeType = function(value) {
if (!arguments.length) return mimeType;
mimeType = value == null ? null : value + "";
return xhr;
};
xhr.response = function(value) {
response = value;
return xhr;
};
[ "get", "post" ].forEach(function(method) {
xhr[method] = function() {
return xhr.send.apply(xhr, [ method ].concat(d3_array(arguments)));
};
});
xhr.send = function(method, data, callback) {
if (arguments.length === 2 && typeof data === "function") callback = data, data = null;
request.open(method, url, true);
if (mimeType != null && !("accept" in headers)) headers["accept"] = mimeType + ",*/*";
if (request.setRequestHeader) for (var name in headers) request.setRequestHeader(name, headers[name]);
if (mimeType != null && request.overrideMimeType) request.overrideMimeType(mimeType);
if (callback != null) xhr.on("error", callback).on("load", function(request) {
callback(null, request);
});
request.send(data == null ? null : data);
return xhr;
};
xhr.abort = function() {
request.abort();
return xhr;
};
d3.rebind(xhr, dispatch, "on");
if (arguments.length === 2 && typeof mimeType === "function") callback = mimeType,
mimeType = null;
return callback == null ? xhr : xhr.get(d3_xhr_fixCallback(callback));
};
function d3_xhr_fixCallback(callback) {
return callback.length === 1 ? function(error, request) {
callback(error == null ? request : null);
} : callback;
}
function d3_dsv(delimiter, mimeType) {
var reFormat = new RegExp('["' + delimiter + "\n]"), delimiterCode = delimiter.charCodeAt(0);
function dsv(url, row, callback) {
if (arguments.length < 3) callback = row, row = null;
var xhr = d3.xhr(url, mimeType, callback);
xhr.row = function(_) {
return arguments.length ? xhr.response((row = _) == null ? response : typedResponse(_)) : row;
};
return xhr.row(row);
}
function response(request) {
return dsv.parse(request.responseText);
}
function typedResponse(f) {
return function(request) {
return dsv.parse(request.responseText, f);
};
}
dsv.parse = function(text, f) {
var o;
return dsv.parseRows(text, function(row, i) {
if (o) return o(row, i - 1);
var a = new Function("d", "return {" + row.map(function(name, i) {
return JSON.stringify(name) + ": d[" + i + "]";
}).join(",") + "}");
o = f ? function(row, i) {
return f(a(row), i);
} : a;
});
};
dsv.parseRows = function(text, f) {
var EOL = {}, EOF = {}, rows = [], N = text.length, I = 0, n = 0, t, eol;
function token() {
if (I >= N) return EOF;
if (eol) return eol = false, EOL;
var j = I;
if (text.charCodeAt(j) === 34) {
var i = j;
while (i++ < N) {
if (text.charCodeAt(i) === 34) {
if (text.charCodeAt(i + 1) !== 34) break;
++i;
}
}
I = i + 2;
var c = text.charCodeAt(i + 1);
if (c === 13) {
eol = true;
if (text.charCodeAt(i + 2) === 10) ++I;
} else if (c === 10) {
eol = true;
}
return text.substring(j + 1, i).replace(/""/g, '"');
}
while (I < N) {
var c = text.charCodeAt(I++), k = 1;
if (c === 10) eol = true; else if (c === 13) {
eol = true;
if (text.charCodeAt(I) === 10) ++I, ++k;
} else if (c !== delimiterCode) continue;
return text.substring(j, I - k);
}
return text.substring(j);
}
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) {
if (Array.isArray(rows[0])) return dsv.formatRows(rows);
var fieldSet = new d3_Set(), fields = [];
rows.forEach(function(row) {
for (var field in row) {
if (!fieldSet.has(field)) {
fields.push(fieldSet.add(field));
}
}
});
return [ fields.map(formatValue).join(delimiter) ].concat(rows.map(function(row) {
return fields.map(function(field) {
return formatValue(row[field]);
}).join(delimiter);
})).join("\n");
};
dsv.formatRows = function(rows) {
return rows.map(formatRow).join("\n");
};
function formatRow(row) {
return row.map(formatValue).join(delimiter);
}
function formatValue(text) {
return reFormat.test(text) ? '"' + text.replace(/\"/g, '""') + '"' : text;
}
return dsv;
}
d3.csv = d3_dsv(",", "text/csv");
d3.tsv = d3_dsv(" ", "text/tab-separated-values");
var d3_timer_id = 0, d3_timer_byId = {}, d3_timer_queue = null, d3_timer_interval, d3_timer_timeout;
d3.timer = function(callback, delay, then) {
if (arguments.length < 3) {
if (arguments.length < 2) delay = 0; else if (!isFinite(delay)) return;
then = Date.now();
}
var timer = d3_timer_byId[callback.id];
if (timer && timer.callback === callback) {
timer.then = then;
timer.delay = delay;
} else d3_timer_byId[callback.id = ++d3_timer_id] = d3_timer_queue = {
callback: callback,
then: then,
delay: delay,
next: d3_timer_queue
};
if (!d3_timer_interval) {
d3_timer_timeout = clearTimeout(d3_timer_timeout);
d3_timer_interval = 1;
d3_timer_frame(d3_timer_step);
}
};
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);
}
}
d3.timer.flush = function() {
var elapsed, now = Date.now(), t1 = d3_timer_queue;
while (t1) {
elapsed = now - t1.then;
if (!t1.delay) t1.flush = t1.callback(elapsed);
t1 = t1.next;
}
d3_timer_flush();
};
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;
}
var d3_timer_frame = d3_window.requestAnimationFrame || d3_window.webkitRequestAnimationFrame || d3_window.mozRequestAnimationFrame || d3_window.oRequestAnimationFrame || d3_window.msRequestAnimationFrame || function(callback) {
setTimeout(callback, 17);
};
var d3_format_decimalPoint = ".", d3_format_thousandsSeparator = ",", d3_format_grouping = [ 3, 3 ];
var d3_formatPrefixes = [ "y", "z", "a", "f", "p", "n", "µ", "m", "", "k", "M", "G", "T", "P", "E", "Z", "Y" ].map(d3_formatPrefix);
d3.formatPrefix = function(value, precision) {
var i = 0;
if (value) {
if (value < 0) value *= -1;
if (precision) value = d3.round(value, d3_format_precision(value, precision));
i = 1 + Math.floor(1e-12 + Math.log(value) / Math.LN10);
i = Math.max(-24, Math.min(24, Math.floor((i <= 0 ? i + 1 : i - 1) / 3) * 3));
}
return d3_formatPrefixes[8 + i / 3];
};
function d3_formatPrefix(d, i) {
var k = Math.pow(10, Math.abs(8 - i) * 3);
return {
scale: i > 8 ? function(d) {
return d / k;
} : function(d) {
return d * k;
},
symbol: d
};
}
d3.round = function(x, n) {
return n ? Math.round(x * (n = Math.pow(10, n))) / n : Math.round(x);
};
d3.format = function(specifier) {
var match = d3_format_re.exec(specifier), fill = match[1] || " ", align = match[2] || ">", sign = match[3] || "", basePrefix = match[4] || "", zfill = match[5], width = +match[6], comma = match[7], precision = match[8], type = match[9], scale = 1, suffix = "", integer = false;
if (precision) precision = +precision.substring(1);
if (zfill || fill === "0" && align === "=") {
zfill = fill = "0";
align = "=";
if (comma) width -= Math.floor((width - 1) / 4);
}
switch (type) {
case "n":
comma = true;
type = "g";
break;
case "%":
scale = 100;
suffix = "%";
type = "f";
break;
case "p":
scale = 100;
suffix = "%";
type = "r";
break;
case "b":
case "o":
case "x":
case "X":
if (basePrefix) basePrefix = "0" + type.toLowerCase();
case "c":
case "d":
integer = true;
precision = 0;
break;
case "s":
scale = -1;
type = "r";
break;
}
if (basePrefix === "#") basePrefix = "";
if (type == "r" && !precision) type = "g";
if (precision != null) {
if (type == "g") precision = Math.max(1, Math.min(21, precision)); else if (type == "e" || type == "f") precision = Math.max(0, Math.min(20, precision));
}
type = d3_format_types.get(type) || d3_format_typeDefault;
var zcomma = zfill && comma;
return function(value) {
if (integer && value % 1) return "";
var negative = value < 0 || value === 0 && 1 / value < 0 ? (value = -value, "-") : sign;
if (scale < 0) {
var prefix = d3.formatPrefix(value, precision);
value = prefix.scale(value);
suffix = prefix.symbol;
} else {
value *= scale;
}
value = type(value, precision);
if (!zfill && comma) value = d3_format_group(value);
var length = basePrefix.length + value.length + (zcomma ? 0 : negative.length), padding = length < width ? new Array(length = width - length + 1).join(fill) : "";
if (zcomma) value = d3_format_group(padding + value);
if (d3_format_decimalPoint) value.replace(".", d3_format_decimalPoint);
negative += basePrefix;
return (align === "<" ? negative + value + padding : align === ">" ? padding + negative + value : align === "^" ? padding.substring(0, length >>= 1) + negative + value + padding.substring(length) : negative + (zcomma ? value : padding + value)) + suffix;
};
};
var d3_format_re = /(?:([^{])?([<>=^]))?([+\- ])?(#)?(0)?(\d+)?(,)?(\.-?\d+)?([a-z%])?/i;
var d3_format_types = d3.map({
b: function(x) {
return x.toString(2);
},
c: function(x) {
return String.fromCharCode(x);
},
o: function(x) {
return x.toString(8);
},
x: function(x) {
return x.toString(16);
},
X: function(x) {
return x.toString(16).toUpperCase();
},
g: function(x, p) {
return x.toPrecision(p);
},
e: function(x, p) {
return x.toExponential(p);
},
f: function(x, p) {
return x.toFixed(p);
},
r: function(x, p) {
return (x = d3.round(x, d3_format_precision(x, p))).toFixed(Math.max(0, Math.min(20, d3_format_precision(x * (1 + 1e-15), p))));
}
});
function d3_format_precision(x, p) {
return p - (x ? Math.ceil(Math.log(x) / Math.LN10) : 1);
}
function d3_format_typeDefault(x) {
return x + "";
}
var d3_format_group = d3_identity;
if (d3_format_grouping) {
var d3_format_groupingLength = d3_format_grouping.length;
d3_format_group = function(value) {
var i = value.lastIndexOf("."), f = i >= 0 ? "." + value.substring(i + 1) : (i = value.length,
""), t = [], j = 0, g = d3_format_grouping[0];
while (i > 0 && g > 0) {
t.push(value.substring(i -= g, i + g));
g = d3_format_grouping[j = (j + 1) % d3_format_groupingLength];
}
return t.reverse().join(d3_format_thousandsSeparator || "") + f;
};
}
d3.geo = {};
d3.geo.stream = function(object, listener) {
if (object && d3_geo_streamObjectType.hasOwnProperty(object.type)) {
d3_geo_streamObjectType[object.type](object, listener);
} else {
d3_geo_streamGeometry(object, listener);
}
};
function d3_geo_streamGeometry(geometry, listener) {
if (geometry && d3_geo_streamGeometryType.hasOwnProperty(geometry.type)) {
d3_geo_streamGeometryType[geometry.type](geometry, listener);
}
}
var d3_geo_streamObjectType = {
Feature: function(feature, listener) {
d3_geo_streamGeometry(feature.geometry, listener);
},
FeatureCollection: function(object, listener) {
var features = object.features, i = -1, n = features.length;
while (++i < n) d3_geo_streamGeometry(features[i].geometry, listener);
}
};
var d3_geo_streamGeometryType = {
Sphere: function(object, listener) {
listener.sphere();
},
Point: function(object, listener) {
var coordinate = object.coordinates;
listener.point(coordinate[0], coordinate[1]);
},
MultiPoint: function(object, listener) {
var coordinates = object.coordinates, i = -1, n = coordinates.length, coordinate;
while (++i < n) coordinate = coordinates[i], listener.point(coordinate[0], coordinate[1]);
},
LineString: function(object, listener) {
d3_geo_streamLine(object.coordinates, listener, 0);
},
MultiLineString: function(object, listener) {
var coordinates = object.coordinates, i = -1, n = coordinates.length;
while (++i < n) d3_geo_streamLine(coordinates[i], listener, 0);
},
Polygon: function(object, listener) {
d3_geo_streamPolygon(object.coordinates, listener);
},
MultiPolygon: function(object, listener) {
var coordinates = object.coordinates, i = -1, n = coordinates.length;
while (++i < n) d3_geo_streamPolygon(coordinates[i], listener);
},
GeometryCollection: function(object, listener) {
var geometries = object.geometries, i = -1, n = geometries.length;
while (++i < n) d3_geo_streamGeometry(geometries[i], listener);
}
};
function d3_geo_streamLine(coordinates, listener, closed) {
var i = -1, n = coordinates.length - closed, coordinate;
listener.lineStart();
while (++i < n) coordinate = coordinates[i], listener.point(coordinate[0], coordinate[1]);
listener.lineEnd();
}
function d3_geo_streamPolygon(coordinates, listener) {
var i = -1, n = coordinates.length;
listener.polygonStart();
while (++i < n) d3_geo_streamLine(coordinates[i], listener, 1);
listener.polygonEnd();
}
d3.geo.area = function(object) {
d3_geo_areaSum = 0;
d3.geo.stream(object, d3_geo_area);
return d3_geo_areaSum;
};
var d3_geo_areaSum, d3_geo_areaRingSum;
var d3_geo_area = {
sphere: function() {
d3_geo_areaSum += 4 * π;
},
point: d3_noop,
lineStart: d3_noop,
lineEnd: d3_noop,
polygonStart: function() {
d3_geo_areaRingSum = 0;
d3_geo_area.lineStart = d3_geo_areaRingStart;
},
polygonEnd: function() {
var area = 2 * d3_geo_areaRingSum;
d3_geo_areaSum += area < 0 ? 4 * π + area : area;
d3_geo_area.lineStart = d3_geo_area.lineEnd = d3_geo_area.point = d3_noop;
}
};
function d3_geo_areaRingStart() {
var λ00, φ00, λ0, cosφ0, sinφ0;
d3_geo_area.point = function(λ, φ) {
d3_geo_area.point = nextPoint;
λ0 = (λ00 = λ) * d3_radians, cosφ0 = Math.cos(φ = (φ00 = φ) * d3_radians / 2 + π / 4),
sinφ0 = Math.sin(φ);
};
function nextPoint(λ, φ) {
λ *= d3_radians;
φ = φ * d3_radians / 2 + π / 4;
var dλ = λ - λ0, cosφ = Math.cos(φ), sinφ = Math.sin(φ), k = sinφ0 * sinφ, u = cosφ0 * cosφ + k * Math.cos(dλ), v = k * Math.sin(dλ);
d3_geo_areaRingSum += Math.atan2(v, u);
λ0 = λ, cosφ0 = cosφ, sinφ0 = sinφ;
}
d3_geo_area.lineEnd = function() {
nextPoint(λ00, φ00);
};
}
function d3_geo_cartesian(spherical) {
var λ = spherical[0], φ = spherical[1], cosφ = Math.cos(φ);
return [ cosφ * Math.cos(λ), cosφ * Math.sin(λ), Math.sin(φ) ];
}
function d3_geo_cartesianDot(a, b) {
return a[0] * b[0] + a[1] * b[1] + a[2] * b[2];
}
function d3_geo_cartesianCross(a, b) {
return [ a[1] * b[2] - a[2] * b[1], a[2] * b[0] - a[0] * b[2], a[0] * b[1] - a[1] * b[0] ];
}
function d3_geo_cartesianAdd(a, b) {
a[0] += b[0];
a[1] += b[1];
a[2] += b[2];
}
function d3_geo_cartesianScale(vector, k) {
return [ vector[0] * k, vector[1] * k, vector[2] * k ];
}
function d3_geo_cartesianNormalize(d) {
var l = Math.sqrt(d3_geo_cartesianDot(d, d));
d[0] /= l;
d[1] /= l;
d[2] /= l;
}
function d3_geo_cartesianEqual(a, b) {
var dx = b[0] - a[0], dy = b[1] - a[1], dz = b[2] - a[2];
return dx * dx + dy * dy + dz * dz < ε2 * ε2;
}
function d3_geo_spherical(cartesian) {
return [ Math.atan2(cartesian[1], cartesian[0]), Math.asin(Math.max(-1, Math.min(1, cartesian[2]))) ];
}
function d3_geo_sphericalEqual(a, b, t) {
if (arguments.length < 3) t = ε;
return Math.abs(a[1] - b[1]) < t && (Math.abs(Math.abs(a[1]) - π / 2) < t || d3_geo_sphericalLongitudeDifference(a[0], b[0]) < t);
}
function d3_geo_sphericalLongitudeDifference(λ0, λ1) {
var dλ = Math.abs(λ1 - λ0);
return dλ > π ? 2 * π - dλ : dλ;
}
d3.geo.bounds = function() {
var λ0, φ0, λ1, φ1, λ_, λ__, φ__, p0, dλSum, ranges, range;
var bound = {
point: point,
lineStart: lineStart,
lineEnd: lineEnd,
polygonStart: function() {
bound.point = ringPoint;
bound.lineStart = ringStart;
bound.lineEnd = ringEnd;
dλSum = 0;
d3_geo_area.polygonStart();
},
polygonEnd: function() {
d3_geo_area.polygonEnd();
bound.point = point;
bound.lineStart = lineStart;
bound.lineEnd = lineEnd;
if (d3_geo_areaRingSum < 0) λ0 = -(λ1 = 180), φ0 = -(φ1 = 90); else if (dλSum > ε) φ1 = 90; else if (dλSum < -ε) φ0 = -90;
range[0] = λ0, range[1] = λ1;
}
};
function point(λ, φ) {
ranges.push(range = [ λ0 = λ, λ1 = λ ]);
if (φ < φ0) φ0 = φ;
if (φ > φ1) φ1 = φ;
}
function linePoint(λ, φ) {
var p = d3_geo_cartesian([ λ * d3_radians, φ * d3_radians ]);
if (p0) {
var normal = d3_geo_cartesianCross(p0, p), equatorial = [ normal[1], -normal[0], 0 ], inflection = d3_geo_cartesianCross(equatorial, normal);
d3_geo_cartesianNormalize(inflection);
inflection = d3_geo_spherical(inflection);
var dλ = λ - λ_, s = dλ > 0 ? 1 : -1, λi = inflection[0] * d3_degrees * s, antimeridian = Math.abs(dλ) > 180;
if (antimeridian ^ (s * λ_ < λi && λi < s * λ)) {
var φi = inflection[1] * d3_degrees;
if (φi > φ1) φ1 = φi;
} else if (λi = (λi + 360) % 360 - 180, antimeridian ^ (s * λ_ < λi && λi < s * λ)) {
var φi = -inflection[1] * d3_degrees;
if (φi < φ0) φ0 = φi;
} else {
if (φ < φ0) φ0 = φ;
if (φ > φ1) φ1 = φ;
}
if (antimeridian) {
if (λ < λ_) {
if (angle(λ0, λ) > angle(λ0, λ1)) λ1 = λ;
} else {
if (angle(λ, λ1) > angle(λ0, λ1)) λ0 = λ;
}
} else {
if (λ1 >= λ0) {
if (λ < λ0) λ0 = λ;
if (λ > λ1) λ1 = λ;
} else {
if (λ > λ_) {
if (angle(λ0, λ) > angle(λ0, λ1)) λ1 = λ;
} else {
if (angle(λ, λ1) > angle(λ0, λ1)) λ0 = λ;
}
}
}
} else {
point(λ, φ);
}
p0 = p, λ_ = λ;
}
function lineStart() {
bound.point = linePoint;
}
function lineEnd() {
range[0] = λ0, range[1] = λ1;
bound.point = point;
p0 = null;
}
function ringPoint(λ, φ) {
if (p0) {
var dλ = λ - λ_;
dλSum += Math.abs(dλ) > 180 ? dλ + (dλ > 0 ? 360 : -360) : dλ;
} else λ__ = λ, φ__ = φ;
d3_geo_area.point(λ, φ);
linePoint(λ, φ);
}
function ringStart() {
d3_geo_area.lineStart();
}
function ringEnd() {
ringPoint(λ__, φ__);
d3_geo_area.lineEnd();
if (Math.abs(dλSum) > ε) λ0 = -(λ1 = 180);
range[0] = λ0, range[1] = λ1;
p0 = null;
}
function angle(λ0, λ1) {
return (λ1 -= λ0) < 0 ? λ1 + 360 : λ1;
}
function compareRanges(a, b) {
return a[0] - b[0];
}
function withinRange(x, range) {
return range[0] <= range[1] ? range[0] <= x && x <= range[1] : x < range[0] || range[1] < x;
}
return function(feature) {
φ1 = λ1 = -(λ0 = φ0 = Infinity);
ranges = [];
d3.geo.stream(feature, bound);
ranges.sort(compareRanges);
for (var i = 1, n = ranges.length, a = ranges[0], b, merged = [ a ]; i < n; ++i) {
b = ranges[i];
if (withinRange(b[0], a) || withinRange(b[1], a)) {
if (angle(a[0], b[1]) > angle(a[0], a[1])) a[1] = b[1];
if (angle(b[0], a[1]) > angle(a[0], a[1])) a[0] = b[0];
} else {
merged.push(a = b);
}
}
var best = -Infinity, dλ;
for (var n = merged.length - 1, i = 0, a = merged[n], b; i <= n; a = b, ++i) {
b = merged[i];
if ((dλ = angle(a[1], b[0])) > best) best = dλ, λ0 = b[0], λ1 = a[1];
}
ranges = range = null;
return [ [ λ0, φ0 ], [ λ1, φ1 ] ];
};
}();
d3.geo.centroid = function(object) {
d3_geo_centroidDimension = d3_geo_centroidW = d3_geo_centroidX = d3_geo_centroidY = d3_geo_centroidZ = 0;
d3.geo.stream(object, d3_geo_centroid);
var m;
if (d3_geo_centroidW && Math.abs(m = Math.sqrt(d3_geo_centroidX * d3_geo_centroidX + d3_geo_centroidY * d3_geo_centroidY + d3_geo_centroidZ * d3_geo_centroidZ)) > ε) {
return [ Math.atan2(d3_geo_centroidY, d3_geo_centroidX) * d3_degrees, Math.asin(Math.max(-1, Math.min(1, d3_geo_centroidZ / m))) * d3_degrees ];
}
};
var d3_geo_centroidDimension, d3_geo_centroidW, d3_geo_centroidX, d3_geo_centroidY, d3_geo_centroidZ;
var d3_geo_centroid = {
sphere: function() {
if (d3_geo_centroidDimension < 2) {
d3_geo_centroidDimension = 2;
d3_geo_centroidW = d3_geo_centroidX = d3_geo_centroidY = d3_geo_centroidZ = 0;
}
},
point: d3_geo_centroidPoint,
lineStart: d3_geo_centroidLineStart,
lineEnd: d3_geo_centroidLineEnd,
polygonStart: function() {
if (d3_geo_centroidDimension < 2) {
d3_geo_centroidDimension = 2;
d3_geo_centroidW = d3_geo_centroidX = d3_geo_centroidY = d3_geo_centroidZ = 0;
}
d3_geo_centroid.lineStart = d3_geo_centroidRingStart;
},
polygonEnd: function() {
d3_geo_centroid.lineStart = d3_geo_centroidLineStart;
}
};
function d3_geo_centroidPoint(λ, φ) {
if (d3_geo_centroidDimension) return;
++d3_geo_centroidW;
λ *= d3_radians;
var cosφ = Math.cos(φ *= d3_radians);
d3_geo_centroidX += (cosφ * Math.cos(λ) - d3_geo_centroidX) / d3_geo_centroidW;
d3_geo_centroidY += (cosφ * Math.sin(λ) - d3_geo_centroidY) / d3_geo_centroidW;
d3_geo_centroidZ += (Math.sin(φ) - d3_geo_centroidZ) / d3_geo_centroidW;
}
function d3_geo_centroidRingStart() {
var λ00, φ00;
d3_geo_centroidDimension = 1;
d3_geo_centroidLineStart();
d3_geo_centroidDimension = 2;
var linePoint = d3_geo_centroid.point;
d3_geo_centroid.point = function(λ, φ) {
linePoint(λ00 = λ, φ00 = φ);
};
d3_geo_centroid.lineEnd = function() {
d3_geo_centroid.point(λ00, φ00);
d3_geo_centroidLineEnd();
d3_geo_centroid.lineEnd = d3_geo_centroidLineEnd;
};
}
function d3_geo_centroidLineStart() {
var x0, y0, z0;
if (d3_geo_centroidDimension > 1) return;
if (d3_geo_centroidDimension < 1) {
d3_geo_centroidDimension = 1;
d3_geo_centroidW = d3_geo_centroidX = d3_geo_centroidY = d3_geo_centroidZ = 0;
}
d3_geo_centroid.point = function(λ, φ) {
λ *= d3_radians;
var cosφ = Math.cos(φ *= d3_radians);
x0 = cosφ * Math.cos(λ);
y0 = cosφ * Math.sin(λ);
z0 = Math.sin(φ);
d3_geo_centroid.point = nextPoint;
};
function nextPoint(λ, φ) {
λ *= d3_radians;
var cosφ = Math.cos(φ *= d3_radians), x = cosφ * Math.cos(λ), y = cosφ * Math.sin(λ), z = Math.sin(φ), w = Math.atan2(Math.sqrt((w = y0 * z - z0 * y) * w + (w = z0 * x - x0 * z) * w + (w = x0 * y - y0 * x) * w), x0 * x + y0 * y + z0 * z);
d3_geo_centroidW += w;
d3_geo_centroidX += w * (x0 + (x0 = x));
d3_geo_centroidY += w * (y0 + (y0 = y));
d3_geo_centroidZ += w * (z0 + (z0 = z));
}
}
function d3_geo_centroidLineEnd() {
d3_geo_centroid.point = d3_geo_centroidPoint;
}
function d3_true() {
return true;
}
function d3_geo_clipPolygonRejoin(segments, compare, inside, interpolate, listener) {
var subject = [], clip = [];
segments.forEach(function(segment) {
if ((n = segment.length - 1) <= 0) return;
var n, p0 = segment[0], p1 = segment[n];
if (Math.abs(p1[0] - p0[0]) < ε && Math.abs(p1[1] - p0[1]) < ε) {
listener.lineStart();
for (var i = 0; i < n; ++i) listener.point((p0 = segment[i])[0], p0[1]);
listener.lineEnd();
return;
}
var a = {
point: p0,
points: segment,
other: null,
visited: false,
entry: true,
subject: true
}, b = {
point: p0,
points: [ p0 ],
other: a,
visited: false,
entry: false,
subject: false
};
a.other = b;
subject.push(a);
clip.push(b);
a = {
point: p1,
points: [ p1 ],
other: null,
visited: false,
entry: false,
subject: true
};
b = {
point: p1,
points: [ p1 ],
other: a,
visited: false,
entry: true,
subject: false
};
a.other = b;
subject.push(a);
clip.push(b);
});
clip.sort(compare);
d3_geo_clipPolygonRejoinLinkCircular(subject);
d3_geo_clipPolygonRejoinLinkCircular(clip);
if (!subject.length) return;
if (inside) for (var i = 1, e = !inside(clip[0].point), n = clip.length; i < n; ++i) {
clip[i].entry = e = !e;
}
var start = subject[0], current, points, point;
while (1) {
current = start;
while (current.visited) if ((current = current.next) === start) return;
points = current.points;
listener.lineStart();
do {
current.visited = current.other.visited = true;
if (current.entry) {
if (current.subject) {
for (var i = 0; i < points.length; i++) listener.point((point = points[i])[0], point[1]);
} else {
interpolate(current.point, current.next.point, 1, listener);
}
current = current.next;
} else {
if (current.subject) {
points = current.prev.points;
for (var i = points.length; --i >= 0; ) listener.point((point = points[i])[0], point[1]);
} else {
interpolate(current.point, current.prev.point, -1, listener);
}
current = current.prev;
}
current = current.other;
points = current.points;
} while (!current.visited);
listener.lineEnd();
}
}
function d3_geo_clipPolygonRejoinLinkCircular(array) {
if (!(n = array.length)) return;
var n, i = 0, a = array[0], b;
while (++i < n) {
a.next = b = array[i];
b.prev = a;
a = b;
}
a.next = b = array[0];
b.prev = a;
}
function d3_geo_clip(pointVisible, clipLine, interpolate, polygonContains, sort) {
return function(listener) {
var line = clipLine(listener);
var clip = {
point: point,
lineStart: lineStart,
lineEnd: lineEnd,
polygonStart: function() {
clip.point = pointRing;
clip.lineStart = ringStart;
clip.lineEnd = ringEnd;
segments = [];
polygon = [];
listener.polygonStart();
},
polygonEnd: function() {
clip.point = point;
clip.lineStart = lineStart;
clip.lineEnd = lineEnd;
segments = d3.merge(segments);
if (segments.length) {
d3_geo_clipPolygonRejoin(segments, sort, null, interpolate, listener);
} else if (polygonContains(polygon)) {
listener.lineStart();
interpolate(null, null, 1, listener);
listener.lineEnd();
}
listener.polygonEnd();
segments = polygon = null;
},
sphere: function() {
listener.polygonStart();
listener.lineStart();
interpolate(null, null, 1, listener);
listener.lineEnd();
listener.polygonEnd();
}
};
function point(λ, φ) {
if (pointVisible(λ, φ)) listener.point(λ, φ);
}
function pointLine(λ, φ) {
line.point(λ, φ);
}
function lineStart() {
clip.point = pointLine;
line.lineStart();
}
function lineEnd() {
clip.point = point;
line.lineEnd();
}
var segments, buffer = d3_geo_clipBufferListener(), ringListener = clipLine(buffer), polygon, ring;
function pointRing(λ, φ, close) {
ringListener.point(λ, φ, close);
ring.push([ λ, φ ]);
}
function ringStart() {
ringListener.lineStart();
ring = [];
}
function ringEnd() {
pointRing(ring[0][0], ring[0][1], true);
ringListener.lineEnd();
var clean = ringListener.clean(), ringSegments = buffer.buffer(), segment, n = ringSegments.length;
ring.pop();
polygon.push(ring);
ring = null;
if (!n) return;
if (clean & 1) {
segment = ringSegments[0];
segment.pop();
var n = segment.length, i = -1, point;
listener.lineStart();
while (++i < n) listener.point((point = segment[i])[0], point[1]);
listener.lineEnd();
return;
}
if (n > 1 && clean & 2) ringSegments.push(ringSegments.pop().concat(ringSegments.shift()));
segments.push(ringSegments.filter(d3_geo_clipSegmentLength1));
}
return clip;
};
}
function d3_geo_clipSegmentLength1(segment) {
return segment.length > 1;
}
function d3_geo_clipBufferListener() {
var lines = [], line;
return {
lineStart: function() {
lines.push(line = []);
},
point: function(λ, φ, i, t) {
var point = [ λ, φ ];
if (arguments.length > 2) point.index = i, point.t = t;
line.push(point);
},
lineEnd: d3_noop,
buffer: function() {
var buffer = lines;
lines = [];
line = null;
return buffer;
},
rejoin: function() {
if (lines.length > 1) lines.push(lines.pop().concat(lines.shift()));
}
};
}
d3.geo.pointInPolygon = d3_geo_pointInPolygon;
function d3_geo_pointInPolygon(point, polygon) {
var point0, meridian = point[0], parallel = point[1], meridianNormal = [ Math.sin(meridian), -Math.cos(meridian), 0 ], polarAngle = 0, polar = false, southPole = false, winding = 0;
d3_geo_area.polygonStart();
for (var i = 0, n = polygon.length; i < n; ++i) {
var ring = polygon[i], m = ring.length;
if (!m) continue;
point0 = point = ring[0];
var λ0 = point[0], φ0 = point[1], j = 1;
d3_geo_area.lineStart();
d3_geo_area.point(λ0 * d3_degrees, φ0 * d3_degrees);
while (true) {
if (j === m) j = 0;
point = ring[j];
var λ = point[0], φ = point[1], angle = λ - λ0, antimeridian = Math.abs(angle) > π;
if (Math.abs(φ + π / 2) < ε) southPole = true;
polarAngle += antimeridian ? angle + (angle >= 0 ? 2 : -2) * π : angle;
if (antimeridian ^ λ0 >= meridian ^ λ >= meridian) {
var arc = d3_geo_cartesianCross(d3_geo_cartesian(point0), d3_geo_cartesian(point));
d3_geo_cartesianNormalize(arc);
var intersection = d3_geo_cartesianCross(meridianNormal, arc);
d3_geo_cartesianNormalize(intersection);
var φarc = (antimeridian ^ angle >= 0 ? -1 : 1) * d3_asin(intersection[2]);
if (parallel > φarc) {
winding += antimeridian ^ angle >= 0 ? 1 : -1;
}
}
if (j++) d3_geo_area.point((λ0 = λ) * d3_degrees, (φ0 = φ) * d3_degrees), point0 = point; else break;
}
d3_geo_area.lineEnd();
if (Math.abs(polarAngle) > ε) polar = true;
}
d3_geo_area.polygonEnd();
return (!southPole && !polar && d3_geo_areaRingSum < 0 || polarAngle < -ε) ^ winding & 1;
}
var d3_geo_clipAntimeridian = d3_geo_clip(d3_geo_clipAntimeridianVisible, d3_geo_clipAntimeridianLine, d3_geo_clipAntimeridianInterpolate, d3_geo_clipAntimeridianPolygonContains, d3_geo_clipAntimeridianSort);
function d3_geo_clipAntimeridianLine(listener) {
var λ0 = NaN, φ0 = NaN, sλ0 = NaN, clean;
return {
lineStart: function() {
listener.lineStart();
clean = 1;
},
point: function(λ1, φ1) {
var sλ1 = λ1 > 0 ? π - ε : -π, dλ = Math.abs(λ1 - λ0);
if (Math.abs(dλ - π) < ε) {
listener.point(λ0, φ0 = (φ0 + φ1) / 2 > 0 ? π / 2 : -π / 2);
listener.point(sλ0, φ0);
listener.lineEnd();
listener.lineStart();
listener.point(sλ1, φ0);
listener.point(λ1, φ0);
clean = 0;
} else if (sλ0 !== sλ1 && dλ >= π) {
if (Math.abs(λ0 - sλ0) < ε) λ0 -= sλ0 * ε;
if (Math.abs(λ1 - sλ1) < ε) λ1 -= sλ1 * ε;
φ0 = d3_geo_clipAntimeridianIntersect(λ0, φ0, λ1, φ1);
listener.point(sλ0, φ0);
listener.lineEnd();
listener.lineStart();
listener.point(sλ1, φ0);
clean = 0;
}
listener.point(λ0 = λ1, φ0 = φ1);
sλ0 = sλ1;
},
lineEnd: function() {
listener.lineEnd();
λ0 = φ0 = NaN;
},
clean: function() {
return 2 - clean;
}
};
}
function d3_geo_clipAntimeridianIntersect(λ0, φ0, λ1, φ1) {
var cosφ0, cosφ1, sinλ0_λ1 = Math.sin(λ0 - λ1);
return Math.abs(sinλ0_λ1) > ε ? Math.atan((Math.sin(φ0) * (cosφ1 = Math.cos(φ1)) * Math.sin(λ1) - Math.sin(φ1) * (cosφ0 = Math.cos(φ0)) * Math.sin(λ0)) / (cosφ0 * cosφ1 * sinλ0_λ1)) : (φ0 + φ1) / 2;
}
function d3_geo_clipAntimeridianInterpolate(from, to, direction, listener) {
var φ;
if (from == null) {
φ = direction * π / 2;
listener.point(-π, φ);
listener.point(0, φ);
listener.point(π - ε, φ);
listener.point(π - ε, 0);
listener.point(π - ε, -φ);
listener.point(0, -φ);
listener.point(-π, -φ);
listener.point(-π, 0);
listener.point(-π, φ);
} else if (Math.abs(from[0] - to[0]) > ε) {
var s0 = -π, s1 = π - ε, s = (from[0] < to[0] ? 1 : -1) * π;
if (to[0] < from[0]) s0 = π - ε, s1 = -π;
φ = direction * s / 2;
listener.point(s0, φ);
listener.point(0, φ);
listener.point(s1, φ);
} else {
listener.point(to[0], to[1]);
}
}
var d3_geo_clipAntimeridianPoint = [ -π, 0 ];
function d3_geo_clipAntimeridianPolygonContains(polygon) {
return d3_geo_pointInPolygon(d3_geo_clipAntimeridianPoint, polygon);
}
function d3_geo_clipAntimeridianSort(a, b) {
return ((a = a.point)[0] < 0 ? a[1] - π / 2 - ε : π / 2 - a[1]) - ((b = b.point)[0] < 0 ? b[1] - π / 2 - ε : π / 2 - b[1]);
}
function d3_geo_clipAntimeridianVisible(λ) {
return Math.abs(Math.abs(λ) - π) > ε;
}
function d3_geo_clipCircle(radius) {
var cr = Math.cos(radius), point = [ radius, 0 ], smallRadius = cr > 0, notHemisphere = Math.abs(cr) > ε, interpolate = d3_geo_circleInterpolate(radius, 6 * d3_radians);
return d3_geo_clip(visible, clipLine, interpolate, polygonContains, d3_geo_clipAntimeridianSort);
function visible(λ, φ) {
return Math.cos(λ) * Math.cos(φ) > cr;
}
function clipLine(listener) {
var point0, c0, v0, v00, clean;
return {
lineStart: function() {
v00 = v0 = false;
clean = 1;
},
point: function(λ, φ) {
var point1 = [ λ, φ ], point2, v = visible(λ, φ), c = smallRadius ? v ? 0 : code(λ, φ) : v ? code(λ + (λ < 0 ? π : -π), φ) : 0;
if (!point0 && (v00 = v0 = v)) listener.lineStart();
if (v !== v0) {
point2 = intersect(point0, point1);
if (d3_geo_sphericalEqual(point0, point2) || d3_geo_sphericalEqual(point1, point2)) {
point1[0] += ε;
point1[1] += ε;
v = visible(point1[0], point1[1]);
}
}
if (v !== v0) {
clean = 0;
if (v) {
listener.lineStart();
point2 = intersect(point1, point0);
listener.point(point2[0], point2[1]);
} else {
point2 = intersect(point0, point1);
listener.point(point2[0], point2[1]);