--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/toolkit/javascript/d3/src/geo/albers.js Thu Apr 10 14:20:23 2014 +0200
@@ -0,0 +1,126 @@
+// 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_geo_radians * origin[0]
+ n,
+ C,
+ p0;
+
+ function albers(coordinates) {
+ var t = n * (d3_geo_radians * coordinates[0] - lng0),
+ p = Math.sqrt(C - 2 * n * Math.sin(d3_geo_radians * coordinates[1])) / n;
+ return [
+ scale * p * Math.sin(t) + translate[0],
+ scale * (p * Math.cos(t) - p0) + translate[1]
+ ];
+ }
+
+ albers.invert = function(coordinates) {
+ var x = (coordinates[0] - translate[0]) / scale,
+ y = (coordinates[1] - translate[1]) / scale,
+ p0y = p0 + y,
+ t = Math.atan2(x, p0y),
+ p = Math.sqrt(x * x + p0y * p0y);
+ return [
+ (lng0 + t / n) / d3_geo_radians,
+ Math.asin((C - p * p * n * n) / (2 * n)) / d3_geo_radians
+ ];
+ };
+
+ function reload() {
+ var phi1 = d3_geo_radians * parallels[0],
+ phi2 = d3_geo_radians * parallels[1],
+ lat0 = d3_geo_radians * origin[1],
+ s = Math.sin(phi1),
+ c = Math.cos(phi1);
+ lng0 = d3_geo_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 > 50 ? alaska
+ : lon < -140 ? hawaii
+ : lat < 21 ? puertoRico
+ : 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());
+};