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(function(){d3.geo = {};
// TODO clip input coordinates on opposite hemisphere
d3.geo.azimuthal = function() {
var mode = "orthographic", // or stereographic
origin,
scale = 200,
translate = [480, 250],
x0,
y0,
cy0,
sy0;
function azimuthal(coordinates) {
var x1 = coordinates[0] * d3_radians - x0,
y1 = coordinates[1] * d3_radians,
cx1 = Math.cos(x1),
sx1 = Math.sin(x1),
cy1 = Math.cos(y1),
sy1 = Math.sin(y1),
k = mode == "stereographic" ? 1 / (1 + sy0 * sy1 + cy0 * cy1 * cx1) : 1,
x = k * cy1 * sx1,
y = k * (sy0 * cy1 * cx1 - cy0 * sy1);
return [
scale * x + translate[0],
scale * y + translate[1]
];
}
azimuthal.mode = function(x) {
if (!arguments.length) return mode;
mode = x;
return azimuthal;
};
azimuthal.origin = function(x) {
if (!arguments.length) return origin;
origin = x;
x0 = origin[0] * d3_radians;
y0 = origin[1] * d3_radians;
cy0 = Math.cos(y0);
sy0 = Math.sin(y0);
return azimuthal;
};
azimuthal.scale = function(x) {
if (!arguments.length) return scale;
scale = +x;
return azimuthal;
};
azimuthal.translate = function(x) {
if (!arguments.length) return translate;
translate = [+x[0], +x[1]];
return azimuthal;
};
return azimuthal.origin([0, 0]);
};
// Derived from Tom Carden's Albers implementation for Protovis.
// http://gist.github.com/476238
// http://mathworld.wolfram.com/AlbersEqual-AreaConicProjection.html
d3.geo.albers = function() {
var origin = [-98, 38],
parallels = [29.5, 45.5],
scale = 1000,
translate = [480, 250],
lng0, // d3_radians * origin[0]
n,
C,
p0;
function albers(coordinates) {
var t = n * (d3_radians * coordinates[0] - lng0),
p = Math.sqrt(C - 2 * n * Math.sin(d3_radians * coordinates[1])) / n;
return [
scale * p * Math.sin(t) + translate[0],
scale * (p * Math.cos(t) - p0) + translate[1]
];
}
function reload() {
var phi1 = d3_radians * parallels[0],
phi2 = d3_radians * parallels[1],
lat0 = d3_radians * origin[1],
s = Math.sin(phi1),
c = Math.cos(phi1);
lng0 = d3_radians * origin[0];
n = .5 * (s + Math.sin(phi2));
C = c * c + 2 * n * s;
p0 = Math.sqrt(C - 2 * n * Math.sin(lat0)) / n;
return albers;
}
albers.origin = function(x) {
if (!arguments.length) return origin;
origin = [+x[0], +x[1]];
return reload();
};
albers.parallels = function(x) {
if (!arguments.length) return parallels;
parallels = [+x[0], +x[1]];
return reload();
};
albers.scale = function(x) {
if (!arguments.length) return scale;
scale = +x;
return albers;
};
albers.translate = function(x) {
if (!arguments.length) return translate;
translate = [+x[0], +x[1]];
return albers;
};
return reload();
};
// A composite projection for the United States, 960x500. The set of standard
// parallels for each region comes from USGS, which is published here:
// http://egsc.usgs.gov/isb/pubs/MapProjections/projections.html#albers
// TODO allow the composite projection to be rescaled?
d3.geo.albersUsa = function() {
var lower48 = d3.geo.albers();
var alaska = d3.geo.albers()
.origin([-160, 60])
.parallels([55, 65]);
var hawaii = d3.geo.albers()
.origin([-160, 20])
.parallels([8, 18]);
var puertoRico = d3.geo.albers()
.origin([-60, 10])
.parallels([8, 18]);
function albersUsa(coordinates) {
var lon = coordinates[0],
lat = coordinates[1];
return (lat < 25
? (lon < -100 ? hawaii : puertoRico)
: (lat > 50 ? alaska : lower48))(coordinates);
}
albersUsa.scale = function(x) {
if (!arguments.length) return lower48.scale();
lower48.scale(x);
alaska.scale(x * .6);
hawaii.scale(x);
puertoRico.scale(x * 1.5);
return albersUsa.translate(lower48.translate());
};
albersUsa.translate = function(x) {
if (!arguments.length) return lower48.translate();
var dz = lower48.scale() / 1000,
dx = x[0],
dy = x[1];
lower48.translate(x);
alaska.translate([dx - 400 * dz, dy + 170 * dz]);
hawaii.translate([dx - 190 * dz, dy + 200 * dz]);
puertoRico.translate([dx + 580 * dz, dy + 430 * dz]);
return albersUsa;
};
return albersUsa.scale(lower48.scale());
};
var d3_radians = Math.PI / 180;
d3.geo.mercator = function() {
var scale = 500,
translate = [480, 250];
function mercator(coordinates) {
var x = (coordinates[0]) / 360,
y = (-180 / Math.PI * Math.log(Math.tan(Math.PI / 4 + coordinates[1] * Math.PI / 360))) / 360;
return [
scale * x + translate[0],
scale * Math.max(-.5, Math.min(.5, y)) + translate[1]
];
}
mercator.scale = function(x) {
if (!arguments.length) return scale;
scale = +x;
return mercator;
};
mercator.translate = function(x) {
if (!arguments.length) return translate;
translate = [+x[0], +x[1]];
return mercator;
};
return mercator;
};
/**
* Returns a function that, given a GeoJSON object (e.g., a feature), returns
* the corresponding SVG path. The function can be customized by overriding the
* projection. Point features are mapped to circles with a default radius of
* 4.5px; the radius can be specified either as a constant or a function that
* is evaluated per object.
*/
d3.geo.path = function() {
var pointRadius = 4.5,
pointCircle = d3_path_circle(pointRadius),
projection = d3.geo.albersUsa();
function path(d, i) {
if (typeof pointRadius === "function") {
pointCircle = d3_path_circle(pointRadius.apply(this, arguments));
}
return d3_geo_pathType(pathTypes, d);
}
function project(coordinates) {
return projection(coordinates).join(",");
}
var pathTypes = {
FeatureCollection: function(f) {
var path = [],
features = f.features,
i = -1, // features.index
n = features.length;
while (++i < n) path.push(d3_geo_pathType(pathTypes, features[i].geometry));
return path.join("");
},
Feature: function(f) {
return d3_geo_pathType(pathTypes, f.geometry);
},
Point: function(o) {
return "M" + project(o.coordinates) + pointCircle;
},
MultiPoint: function(o) {
var path = [],
coordinates = o.coordinates,
i = -1, // coordinates.index
n = coordinates.length;
while (++i < n) path.push("M", project(coordinates[i]), pointCircle);
return path.join("");
},
LineString: function(o) {
var path = ["M"],
coordinates = o.coordinates,
i = -1, // coordinates.index
n = coordinates.length;
while (++i < n) path.push(project(coordinates[i]), "L");
path.pop();
return path.join("");
},
MultiLineString: function(o) {
var path = [],
coordinates = o.coordinates,
i = -1, // coordinates.index
n = coordinates.length,
subcoordinates, // coordinates[i]
j, // subcoordinates.index
m; // subcoordinates.length
while (++i < n) {
subcoordinates = coordinates[i];
j = -1;
m = subcoordinates.length;
path.push("M");
while (++j < m) path.push(project(subcoordinates[j]), "L");
path.pop();
}
return path.join("");
},
Polygon: function(o) {
var path = [],
coordinates = o.coordinates,
i = -1, // coordinates.index
n = coordinates.length,
subcoordinates, // coordinates[i]
j, // subcoordinates.index
m; // subcoordinates.length
while (++i < n) {
subcoordinates = coordinates[i];
j = -1;
m = subcoordinates.length;
path.push("M");
while (++j < m) path.push(project(subcoordinates[j]), "L");
path[path.length - 1] = "Z";
}
return path.join("");
},
MultiPolygon: function(o) {
var path = [],
coordinates = o.coordinates,
i = -1, // coordinates index
n = coordinates.length,
subcoordinates, // coordinates[i]
j, // subcoordinates index
m, // subcoordinates.length
subsubcoordinates, // subcoordinates[j]
k, // subsubcoordinates index
p; // subsubcoordinates.length
while (++i < n) {
subcoordinates = coordinates[i];
j = -1;
m = subcoordinates.length;
while (++j < m) {
subsubcoordinates = subcoordinates[j];
k = -1;
p = subsubcoordinates.length - 1;
path.push("M");
while (++k < p) path.push(project(subsubcoordinates[k]), "L");
path[path.length - 1] = "Z";
}
}
return path.join("");
},
GeometryCollection: function(o) {
var path = [],
geometries = o.geometries,
i = -1, // geometries index
n = geometries.length;
while (++i < n) path.push(d3_geo_pathType(pathTypes, geometries[i]));
return path.join("");
}
};
var areaTypes = {
FeatureCollection: function(f) {
var area = 0,
features = f.features,
i = -1, // features.index
n = features.length;
while (++i < n) area += d3_geo_pathType(areaTypes, features[i]);
return area;
},
Feature: function(f) {
return d3_geo_pathType(areaTypes, f.geometry);
},
Point: d3_geo_pathZero,
MultiPoint: d3_geo_pathZero,
LineString: d3_geo_pathZero,
MultiLineString: d3_geo_pathZero,
Polygon: function(o) {
return polygonArea(o.coordinates);
},
MultiPolygon: function(o) {
var sum = 0,
coordinates = o.coordinates,
i = -1, // coordinates index
n = coordinates.length;
while (++i < n) sum += polygonArea(coordinates[i]);
return sum;
},
GeometryCollection: function(o) {
var sum = 0,
geometries = o.geometries,
i = -1, // geometries index
n = geometries.length;
while (++i < n) sum += d3_geo_pathType(areaTypes, geometries[i]);
return sum;
}
};
function polygonArea(coordinates) {
var sum = area(coordinates[0]), // exterior ring
i = 0, // coordinates.index
n = coordinates.length;
while (++i < n) sum -= area(coordinates[i]); // holes
return sum;
}
function polygonCentroid(coordinates) {
var polygon = d3.geom.polygon(coordinates[0].map(projection)), // exterior ring
centroid = polygon.centroid(1),
x = centroid[0],
y = centroid[1],
z = Math.abs(polygon.area()),
i = 0, // coordinates index
n = coordinates.length;
while (++i < n) {
polygon = d3.geom.polygon(coordinates[i].map(projection)); // holes
centroid = polygon.centroid(1);
x -= centroid[0];
y -= centroid[1];
z -= Math.abs(polygon.area());
}
return [x, y, 6 * z]; // weighted centroid
}
var centroidTypes = {
// TODO FeatureCollection
// TODO Point
// TODO MultiPoint
// TODO LineString
// TODO MultiLineString
// TODO GeometryCollection
Feature: function(f) {
return d3_geo_pathType(centroidTypes, f.geometry);
},
Polygon: function(o) {
var centroid = polygonCentroid(o.coordinates);
return [centroid[0] / centroid[2], centroid[1] / centroid[2]];
},
MultiPolygon: function(o) {
var area = 0,
coordinates = o.coordinates,
centroid,
x = 0,
y = 0,
z = 0,
i = -1, // coordinates index
n = coordinates.length;
while (++i < n) {
centroid = polygonCentroid(coordinates[i]);
x += centroid[0];
y += centroid[1];
z += centroid[2];
}
return [x / z, y / z];
}
};
function area(coordinates) {
return Math.abs(d3.geom.polygon(coordinates.map(projection)).area());
}
path.projection = function(x) {
projection = x;
return path;
};
path.area = function(d) {
return d3_geo_pathType(areaTypes, d);
};
path.centroid = function(d) {
return d3_geo_pathType(centroidTypes, d);
};
path.pointRadius = function(x) {
if (typeof x === "function") pointRadius = x;
else {
pointRadius = +x;
pointCircle = d3_path_circle(pointRadius);
}
return path;
};
return path;
};
function d3_path_circle(radius) {
return "m0," + radius
+ "a" + radius + "," + radius + " 0 1,1 0," + (-2 * radius)
+ "a" + radius + "," + radius + " 0 1,1 0," + (+2 * radius)
+ "z";
}
function d3_geo_pathZero() {
return 0;
}
function d3_geo_pathType(types, o) {
return o && o.type in types ? types[o.type](o) : "";
}
/**
* Given a GeoJSON object, returns the corresponding bounding box. The bounding
* box is represented by a two-dimensional array: [[left, bottom], [right,
* top]], where left is the minimum longitude, bottom is the minimum latitude,
* right is maximum longitude, and top is the maximum latitude.
*/
d3.geo.bounds = function(feature) {
var left = Infinity,
bottom = Infinity,
right = -Infinity,
top = -Infinity;
d3_geo_bounds(feature, function(x, y) {
if (x < left) left = x;
if (x > right) right = x;
if (y < bottom) bottom = y;
if (y > top) top = y;
});
return [[left, bottom], [right, top]];
};
function d3_geo_bounds(o, f) {
if (o.type in d3_geo_boundsTypes) d3_geo_boundsTypes[o.type](o, f);
}
var d3_geo_boundsTypes = {
Feature: d3_geo_boundsFeature,
FeatureCollection: d3_geo_boundsFeatureCollection,
LineString: d3_geo_boundsLineString,
MultiLineString: d3_geo_boundsMultiLineString,
MultiPoint: d3_geo_boundsLineString,
MultiPolygon: d3_geo_boundsMultiPolygon,
Point: d3_geo_boundsPoint,
Polygon: d3_geo_boundsPolygon
};
function d3_geo_boundsFeature(o, f) {
d3_geo_bounds(o.geometry, f);
}
function d3_geo_boundsFeatureCollection(o, f) {
for (var a = o.features, i = 0, n = a.length; i < n; i++) {
d3_geo_bounds(a[i].geometry, f);
}
}
function d3_geo_boundsLineString(o, f) {
for (var a = o.coordinates, i = 0, n = a.length; i < n; i++) {
f.apply(null, a[i]);
}
}
function d3_geo_boundsMultiLineString(o, f) {
for (var a = o.coordinates, i = 0, n = a.length; i < n; i++) {
for (var b = a[i], j = 0, m = b.length; j < m; j++) {
f.apply(null, b[j]);
}
}
}
function d3_geo_boundsMultiPolygon(o, f) {
for (var a = o.coordinates, i = 0, n = a.length; i < n; i++) {
for (var b = a[i][0], j = 0, m = b.length; j < m; j++) {
f.apply(null, b[j]);
}
}
}
function d3_geo_boundsPoint(o, f) {
f.apply(null, o.coordinates);
}
function d3_geo_boundsPolygon(o, f) {
for (var a = o.coordinates[0], i = 0, n = a.length; i < n; i++) {
f.apply(null, a[i]);
}
}
})();