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Created September 19, 2012 13:05
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<!DOCTYPE html>
<meta charset="utf-8">
<title>Map Projections</title>
<style>
body {
margin-top:30px;
margin-left: 20px;
}
svg {
font: 10px sans-serif;
}
.background path {
fill: none;
stroke: none;
stroke-width: 24px;
pointer-events: stroke;
}
.foreground path {
fill: none;
stroke: steelblue;
stroke-width: 1px;
}
.axis .title {
font-size: 11px;
font-weight: bold;
text-transform: uppercase;
}
.axis line,
.axis path {
fill: none;
stroke: #000;
shape-rendering: crispEdges;
}
.label {
-webkit-transition: fill 125ms linear;
}
.active .label:not(.inactive) {
font-weight: bold;
}
.label.inactive {
fill: #888;
}
.foreground path.inactive {
stroke: #888;
stroke-opacity: .3;
stroke-width: 1px;
}
path.background {
fill: #A5BFDD;
}
path.foreground {
fill: none;
stroke: #333;
stroke-width: 0.51px;
}
path.graticule {
fill: none;
stroke: #fff;
stroke-width: .5px;
}
.line:nth-child(2n) {
stroke-dasharray: 2,2;
}
.land {
fill: #fff;
stroke: #766951;
}
.boundary {
fill: none;
stroke: #a5967e;
}
#projections { margin: 20px 20px 0;}
a { font-family: Helvetica; display: inline-block; margin: 5px; font-size: 15px; color: #88b;}
</style>
<body>
<script src="d3.v2.min.js"></script>
<script src="jquery.min.js"></script>
<div id="projections"></div>
<script src="projection.js"></script>
<script>
/* Projections */
var projections = {
"Aitoff": d3.geo.aitoff().scale(135),
"Bonne": d3.geo.bonne().scale(135),
"Eckert I": d3.geo.eckert1().scale(140),
"Eckert II": d3.geo.eckert2().scale(140),
"Eckert III": d3.geo.eckert3().scale(144),
"Eckert IV": d3.geo.eckert4().scale(144),
"Eckert V": d3.geo.eckert5().scale(140),
"Eckert VI": d3.geo.eckert6().scale(140),
"Equidistant Cylindrical (Plate Carrée)": d3.geo.equirectangular().scale(660),
"Hammer": d3.geo.hammer().scale(140),
"Kavraisky VII": d3.geo.kavrayskiy7().scale(135),
"Mercator": d3.geo.mercator().scale(380),
"Mollweide": d3.geo.mollweide().scale(100),
"Nell–Hammer": d3.geo.nellHammer().scale(124),
"Robinson": d3.geo.robinson().scale(135),
"Sinusoidal": d3.geo.sinusoidal().scale(130),
"van der Grinten (I)": d3.geo.vanDerGrinten().scale(84),
"Wagner VI": d3.geo.wagner6().scale(135),
"Winkel Tripel": d3.geo.winkel3().scale(135)
};
$.each(projections, function(name) {
var a = $('<a href="#">'+name+'</a>');
a.click(function(e) {
e.preventDefault();
changeproj($(e.target).html());
});
$('#projections').append(a);
})
/* Map */
var map_width = 860,
map_height = 500;
var projection = d3.geo.aitoff()
.translate([map_width / 2 - .5, map_height / 2 - .5]).scale(135);
var path = d3.geo.path()
.projection(projection);
var graticule = d3.geo.graticule();
var map_svg = d3.select("body").append("svg")
.attr("width", map_width)
.attr("height", map_height);
map_svg.append("path")
.datum(graticule.outline)
.attr("class", "background")
.attr("d", path)
map_svg.selectAll(".graticule")
.data(graticule.lines)
.enter().append("path")
.attr("class", "graticule")
.attr("d", path);
map_svg.append("path")
.datum(graticule.outline)
.attr("class", "foreground")
.attr("d", path);
d3.json("readme-boundaries.json", function(collection) {
map_svg.insert("g", ".graticule")
.attr("class", "boundary")
.selectAll("path")
.data(collection.geometries)
.enter().append("path")
.attr("d", path);
});
d3.json("readme-land.json", function(collection) {
map_svg.insert("g", ".graticule,.boundary")
.attr("class", "land")
.selectAll("path")
.data(collection.geometries)
.enter().append("path")
.attr("d", path);
});
/* Parallel Coordinates */
function changeproj(name) {
if (!(name in projections)) return;
// update map
projection = projections[name]
.translate([map_width / 2 - .5, map_height / 2 - .5]);
path = d3.geo.path()
.projection(projection);
map_svg.selectAll("path")
.transition()
.duration(1200)
.attr("d", path);
}
function draw(d) {
return line(dimensions.map(function(dimension) {
return [x(dimension.name), dimension.scale(d[dimension.name])];
}));
}
</script>
</body>
</html>
/*! jQuery v1.6.4 http://jquery.com/ | http://jquery.org/license */
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(function() {
var ε = 1e-6,
π = Math.PI,
sqrtπ = Math.sqrt(π);
var robinsonConstants = [
[1.0000, 0.0000],
[0.9986, 0.0620],
[0.9954, 0.1240],
[0.9900, 0.1860],
[0.9822, 0.2480],
[0.9730, 0.3100],
[0.9600, 0.3720],
[0.9427, 0.4340],
[0.9216, 0.4958],
[0.8962, 0.5571],
[0.8679, 0.6176],
[0.8350, 0.6769],
[0.7986, 0.7346],
[0.7597, 0.7903],
[0.7186, 0.8435],
[0.6732, 0.8936],
[0.6213, 0.9394],
[0.5722, 0.9761],
[0.5322, 1.0000]
];
function identity(d) {
return d;
}
function sinci(x) {
return x ? x / Math.sin(x) : 1;
}
function sgn(x) {
return x > 0 ? 1 : x < 0 ? -1 : 0;
}
function aitoff(λ, φ) {
var cosφ = Math.cos(φ),
sinciα = sinci(Math.acos(cosφ * Math.cos(λ /= 2)));
return [
2 * cosφ * Math.sin(λ) * sinciα,
Math.sin(φ) * sinciα
];
}
function winkel3(λ, φ) {
var coordinates = aitoff(λ, φ);
return [
(coordinates[0] + λ * 2 / π) / 2,
(coordinates[1] + φ) / 2
];
}
function kavrayskiy7(λ, φ) {
return [
3 * λ / (2 * π) * Math.sqrt(π * π / 3 - φ * φ),
φ
];
}
function kavrayskiy7Inverse(x, y) {
return [
2 / 3 * π * x / Math.sqrt(π * π / 3 - y * y),
y
];
}
function wagner6(λ, φ) {
return [
λ * Math.sqrt(1 - 3 * φ * φ / (π * π)),
φ
];
}
function robinson(λ, φ) {
var i = Math.min(18, Math.abs(φ) * 36 / π),
i0 = Math.floor(i),
di = i - i0,
k0 = robinsonConstants[i0],
k1 = robinsonConstants[Math.ceil(i)],
ax = k0[0],
ay = k0[1],
dx = k1[0] - ax,
dy = k1[1] - ay;
return [
λ * (ax + dx * di),
(φ > 0 ? π : -π) / 2 * (ay + dy * di)
];
}
function cylindricalEqualArea(φ0) {
var cosφ0 = Math.cos(φ0);
return function(λ, φ) {
return [
λ * cosφ0,
Math.sin(φ) / cosφ0
];
};
}
function cylindricalEqualAreaInverse(φ0) {
var cosφ0 = Math.cos(φ0);
return function(x, y) {
return [
x / cosφ0,
Math.asin(y * cosφ0)
];
};
}
function sinusoidal(λ, φ) {
return [
λ * Math.cos(φ),
φ
];
}
function sinusoidalInverse(x, y) {
return [
x / Math.cos(y),
y
];
}
function hammer(λ, φ) {
var cosφ = Math.cos(φ),
k = Math.sqrt(2 / (1 + cosφ * Math.cos(λ /= 2)));
return [
Math.sin(λ) * cosφ * k * 2,
Math.sin(φ) * k
];
}
function hammerInverse(x, y) {
var z2 = 1 - x * x / 16 - y * y / 4,
z = Math.sqrt(z2);
return [
2 * Math.atan2(z * x, 4 * z2 - 2),
Math.asin(z * y)
];
}
function eckert1(λ, φ) {
var α = Math.sqrt(8 / (3 * π));
return [
α * λ * (1 - Math.abs(φ) / π),
α * φ
];
}
function eckert1Inverse(x, y) {
var α = Math.sqrt(8 / (3 * π)),
φ = y / α;
return [
x / (α * (1 - Math.abs(φ) / π)),
φ
];
}
function eckert2(λ, φ) {
var α = Math.sqrt(4 - 3 * Math.sin(Math.abs(φ)));
return [
2 / Math.sqrt(6 * π) * λ * α,
sgn(φ) * Math.sqrt(2 * π / 3) * (2 - α)
];
}
function eckert2Inverse(x, y) {
var α = 2 - Math.abs(y) / Math.sqrt(2 * π / 3);
return [
x * Math.sqrt(6 * π) / (2 * α),
sgn(y) * Math.asin((4 - α * α) / 3)
];
}
function eckert3(λ, φ) {
var k = Math.sqrt(π * (4 + π));
return [
2 / k * λ * (1 + Math.sqrt(1 - 4 * φ * φ / (π * π))),
4 / k * φ
];
}
function eckert3Inverse(x, y) {
var k = Math.sqrt(π * (4 + π)) / 2;
return [
x * k / (1 + Math.sqrt(Math.max(0, 1 - y * y * (4 + π) / (4 * π)))),
y * k / 2
];
}
function eckert4(λ, φ) {
var k = (2 + π / 2) * Math.sin(φ);
φ /= 2;
for (var i = 0, δ = Infinity; i < 10 && Math.abs(δ) > ε; i++) {
var cosφ = Math.cos(φ);
φ -= δ = (φ + Math.sin(φ) * (cosφ + 2) - k) / (2 * cosφ * (1 + cosφ));
}
return [
2 / Math.sqrt(π * (4 + π)) * λ * (1 + Math.cos(φ)),
2 * Math.sqrt(π / (4 + π)) * Math.sin(φ)
];
}
function eckert4Inverse(x, y) {
var j = 2 * Math.sqrt(π / (4 + π)),
k = Math.asin(y / cy);
return [
x / (2 / Math.sqrt(π * (4 + π)) * (1 + (c = Math.cos(k)))),
Math.asin((k + y / j * (c + 2)) / (2 + π / 2))
];
}
function eckert5(λ, φ) {
return [
λ * (1 + Math.cos(φ)) / Math.sqrt(2 + π),
2 * φ / Math.sqrt(2 + π)
];
}
function eckert5Inverse(x, y) {
var k = Math.sqrt(2 + π),
φ = y * k / 2;
return [
k * x / (1 + Math.cos(φ)),
φ
];
}
function eckert6(λ, φ) {
var k = (1 + π / 2) * Math.sin(φ);
for (var i = 0, δ = Infinity; i < 10 && Math.abs(δ) > ε; i++) {
φ -= δ = (φ + Math.sin(φ) - k) / (1 + Math.cos(φ));
}
k = Math.sqrt(2 + π);
return [
λ * (1 + Math.cos(φ)) / k,
2 * φ / k
];
}
function eckert6Inverse(x, y) {
var j = 1 + Math.PI / 2,
k = Math.sqrt(j / 2);
return [
x * 2 * k / (1 + Math.cos(y *= k)),
Math.asin((y + Math.sin(y)) / j)
];
}
function mollweide(λ, φ) {
if (Math.abs(φ) !== π / 2) {
var k = π / 2 * Math.sin(φ);
for (var i = 0, δ = Infinity; i < 10 && Math.abs(δ) > ε; i++) {
φ -= δ = (φ + Math.sin(2 * φ) / 2 - k) / (1 + Math.cos(2 * φ));
}
}
return [
2 * Math.SQRT2 / π * λ * Math.cos(φ),
Math.SQRT2 * Math.sin(φ)
];
}
function mollweideInverse(x, y) {
var θ = Math.asin(y / Math.SQRT2);
return [
π * x / (2 * Math.SQRT2 * Math.cos(θ)),
Math.asin((2 * θ + Math.sin(2 * θ)) / π)
];
}
function homolosine(λ, φ) {
if (Math.abs(φ) > 40.733 * π / 180) {
var coordinates = mollweide(λ, φ);
coordinates[1] -= φ >= 0 ? .0528 : -.0528;
return coordinates;
} else return sinusoidal(λ, φ);
}
function homolosineInverse(x, y) {
if (Math.abs(y) > 40.733 * π / 180) {
coordinates = mollweideInverse(x, y);
coordinates[1] += y >= 0 ? .0528 : -.0528;
return coordinates;
} else return sinusoidalInverse(x, y);
}
function august(λ, φ) {
var tanφ = Math.tan(φ / 2),
k = 1 - tanφ * tanφ,
c = 1 + k * Math.cos(λ /= 2),
x = Math.sin(λ) * k / c,
y = tanφ / c,
x2 = x * x,
y2 = y * y;
return [
4 / 3 * x * (3 + x2 - 3 * y2),
4 / 3 * y * (3 + 3 * x2 - y2)
];
}
function eisenlohr(λ, φ) {
var f = 3 + Math.sqrt(8),
s1 = Math.sin(λ /= 2),
c1 = Math.cos(λ),
k = Math.sqrt(Math.cos(φ) / 2),
cosφ2 = Math.cos(φ /= 2),
t = Math.sin(φ) / (cosφ2 + 2 * c1 * k),
c = Math.sqrt(2 / (1 + t * t)),
v = Math.sqrt((cosφ2 + (c1 + s1) * k)
/ (cosφ2 + (c1 - s1) * k));
return [
f * (c * (v - 1 / v) - 2 * Math.log(v)),
f * (c * t * (v + 1 / v) - 2 * Math.atan(t))
];
}
function bonne(φ0) {
var cotφ0 = 1 / Math.tan(φ0);
return function(λ, φ) {
var ρ = cotφ0 + φ0 - φ,
E = λ * Math.cos(φ) / ρ;
return [
ρ * Math.sin(E),
cotφ0 - ρ * Math.cos(E)
];
};
}
function bonneInverse(φ0) {
var cotφ0 = 1 / Math.tan(φ0);
return function(x, y) {
var ρ = Math.sqrt(x * x + (y = cotφ0 - y) * y),
φ = cotφ0 + φ0 - ρ;
return [
ρ / Math.cos(φ) * Math.atan2(x, y),
φ
];
};
}
function collignon(λ, φ) {
var α = Math.sqrt(Math.max(0, 1 - Math.sin(φ)));
return [
(2 / sqrtπ) * λ * α,
sqrtπ * (1 - α)
];
}
function collignonInverse(x, y) {
var λ = (λ = y / sqrtπ - 1) * λ;
return [
λ > 0 ? x * Math.sqrt(π / λ) / 2 : 0,
Math.asin(Math.max(-1, Math.min(1, 1 - λ)))
];
}
function larrivee(λ, φ) {
return [
λ * (1 + Math.sqrt(Math.cos(φ))) / 2,
φ / (Math.cos(φ / 2) * Math.cos(λ / 6))
];
}
function vanDerGrinten(λ, φ) {
if (Math.abs(φ) < ε) return [λ, 0];
var sinθ = Math.abs(2 * φ / π),
θ = Math.asin(sinθ);
if (Math.abs(λ) < ε || Math.abs(Math.abs(φ) - π / 2) < ε) return [0, sgn(φ) * π * Math.tan(θ / 2)];
var cosθ = Math.cos(θ),
A = Math.abs(π / λ - λ / π) / 2,
A2 = A * A,
G = cosθ / (sinθ + cosθ - 1),
P = G * (2 / sinθ - 1),
P2 = P * P,
P2_A2 = P2 + A2,
G_P2 = G - P2,
Q = A2 + G;
return [
sgn(λ) * π * (A * G_P2 + Math.sqrt(A2 * G_P2 * G_P2 - P2_A2 * (G * G - P2))) / P2_A2,
sgn(φ) * π * (P * Q - A * Math.sqrt((A2 + 1) * P2_A2 - Q * Q)) / P2_A2
];
}
function vanDerGrintenInverse(x, y) {
if (Math.abs(y) < ε) return [x, 0];
if (Math.abs(x) < ε) return [0, π / 2 * Math.sin(2 * Math.atan(y / π))];
var x2 = (x /= π) * x,
y2 = (y /= π) * y,
x2_y2 = x2 + y2,
z = x2_y2 * x2_y2,
c1 = -Math.abs(y) * (1 + x2_y2),
c2 = c1 - 2 * y2 + x2,
c3 = -2 * c1 + 1 + 2 * y2 + z,
d = y2 / c3 + (2 * c2 * c2 * c2 / (c3 * c3 * c3) - 9 * c1 * c2 / (c3 * c3)) / 27,
a1 = (c1 - c2 * c2 / (3 * c3)) / c3,
m1 = 2 * Math.sqrt(-a1 / 3),
θ1 = Math.acos(3 * d / (a1 * m1)) / 3;
return [
π * (x2_y2 - 1 + Math.sqrt(1 + 2 * (x2 - y2) + z)) / (2 * x),
sgn(y) * π * (-m1 * Math.cos(θ1 + π / 3) - c2 / (3 * c3))
];
}
function nellHammer(λ, φ) {
return [
λ * (1 + Math.cos(φ)) / 2,
2 * (φ - Math.tan(φ / 2))
];
}
function nellHammerInverse(x, y) {
var p = y / 2;
for (var i = 0, δ = Infinity; i < 10 && Math.abs(δ) > ε; i++) {
var c = Math.cos(y / 2);
y -= δ = (y - Math.tan(y / 2) - p) / (1 - .5 / (c * c));
}
return [
2 * x / (1 + Math.cos(y)),
y
];
}
function polyconic(λ, φ) {
if (Math.abs(φ) < ε) return [λ, 0];
var tanφ = Math.tan(φ),
k = λ * Math.sin(φ);
return [
Math.sin(k) / tanφ,
φ + (1 - Math.cos(k)) / tanφ
];
}
function polyconicInverse(x, y) {
if (Math.abs(y) < ε) return [x, 0];
var k = x * x + y * y,
φ = y;
for (var i = 0, δ = Infinity; i < 10 && Math.abs(δ) > ε; i++) {
var tanφ = Math.tan(φ);
φ -= δ = (y * (φ * tanφ + 1) - φ - .5 * (φ * φ + k) * tanφ) / ((φ - y) / tanφ - 1);
}
return [
Math.asin(x * Math.tan(φ)) / Math.sin(φ),
φ
];
}
function miller(λ, φ) {
return [
λ,
1.25 * Math.log(Math.tan(π / 4 + .4 * φ))
];
}
function millerInverse(x, y) {
return [
x,
2.5 * Math.atan(Math.exp(.8 * y)) - .625 * π
];
}
function conicConformal(φ0, φ1) {
var cosφ0 = Math.cos(φ0),
n = Math.log(cosφ0 / Math.cos(φ1)) / Math.log(t(φ1) / t(φ0)),
F = cosφ0 * Math.pow(t(φ0), n) / n;
function t(φ) { return Math.tan(π / 4 + φ / 2); }
return function(λ, φ) {
var ρ = Math.abs(Math.abs(φ) - π / 2) < ε ? 0 : F / Math.pow(t(φ), n);
return [
ρ * Math.sin(n * λ),
F - ρ * Math.cos(n * λ)
];
};
}
function conicConformalInverse(φ0, φ1) {
var cosφ0 = Math.cos(φ0),
n = Math.log(cosφ0 / Math.cos(φ1)) / Math.log(t(φ1) / t(φ0)),
F = cosφ0 * Math.pow(t(φ0), n) / n;
function t(φ) { return Math.tan(π / 4 + φ / 2); }
return function(x, y) {
var ρ0_y = F - y,
ρ = sgn(n) * Math.sqrt(x * x + ρ0_y * ρ0_y);
return [
Math.atan2(x, ρ0_y) / n,
2 * Math.atan(Math.pow(F / ρ, 1 / n)) - π / 2
];
};
}
function albers(φ0, φ1) {
var sinφ0 = Math.sin(φ0),
n = (sinφ0 + Math.sin(φ1)) / 2,
C = 1 + sinφ0 * (2 * n - sinφ0),
ρ0 = Math.sqrt(C) / n;
return function(λ, φ) {
var ρ = Math.sqrt(C - 2 * n * Math.sin(φ)) / n;
return [
ρ * Math.sin(n * λ),
ρ0 - ρ * Math.cos(n * λ)
];
};
}
function albersInverse(φ0, φ1) {
var sinφ0 = Math.sin(φ0),
n = (sinφ0 + Math.sin(φ1)) / 2,
C = 1 + sinφ0 * (2 * n - sinφ0),
ρ0 = Math.sqrt(C) / n;
return function(x, y) {
var ρ0_y = ρ0 - y;
return [
Math.atan2(x, ρ0_y) / n,
Math.asin((C - (x * x + ρ0_y * ρ0_y) * n * n) / (2 * n))
];
};
}
function conicEquidistant(φ0, φ1) {
var cosφ0 = Math.cos(φ0),
n = (cosφ0 - Math.cos(φ1)) / (φ1 - φ0),
G = cosφ0 / n + φ0;
return function(λ, φ) {
var ρ = G - φ;
return [
ρ * Math.sin(n * λ),
G - ρ * Math.cos(n * λ)
];
};
}
function conicEquidistantInverse(φ0, φ1) {
var cosφ0 = Math.cos(φ0),
n = (cosφ0 - Math.cos(φ1)) / (φ1 - φ0),
G = cosφ0 / n + φ0;
return function(x, y) {
var ρ0_y = G - y;
return [
Math.atan2(x, ρ0_y) / n,
G - sgn(n) * Math.sqrt(x * x + ρ0_y * ρ0_y)
];
};
}
function projection(forward, inverse) {
var scale = 150,
translate = [480, 250];
function p(coordinates) {
coordinates = forward(coordinates[0] * π / 180, coordinates[1] * π / 180);
return [coordinates[0] * scale + translate[0], translate[1] - coordinates[1] * scale];
}
if (arguments.length > 1) {
p.invert = function(coordinates) {
coordinates = inverse((coordinates[0] - translate[0]) / scale, (translate[1] - coordinates[1]) / scale);
return [coordinates[0] * 180 / π, coordinates[1] * 180 / π];
};
}
p.scale = function(_) {
if (!arguments.length) return scale;
scale = +_;
return p;
};
p.translate = function(_) {
if (!arguments.length) return translate;
translate = [+_[0], +_[1]];
return p;
};
return p;
}
function singleParallelProjection(forwardAt, inverseAt) {
var φ0 = 0,
forward = forwardAt(φ0),
inverse = inverseAt ? inverseAt(φ0) : null,
p = inverseAt
? projection(function(λ, φ) { return forward(λ, φ); }, function(x, y) { return inverse(x, y); })
: projection(function(λ, φ) { return forward(λ, φ); });
p.parallel = function(_) {
if (!arguments.length) return φ0 / π * 180;
forward = forwardAt(φ0 = _ * π / 180);
if (inverseAt) inverse = inverseAt(φ0);
return p;
};
return p;
}
function doubleParallelProjection(forwardAt, inverseAt) {
var φ0 = 0,
φ1 = π / 3,
forward = forwardAt(φ0, φ1),
inverse = inverseAt ? inverseAt(φ0, φ1) : null,
p = inverseAt
? projection(function(λ, φ) { return forward(λ, φ); }, function(x, y) { return inverse(x, y); })
: projection(function(λ, φ) { return forward(λ, φ); });
p.parallels = function(_) {
if (!arguments.length) return [φ0 / π * 180, φ1 / π * 180];
forward = forwardAt(φ0 = _[0] * π / 180, φ1 = _[1] * π / 180);
if (inverseAt) inverse = inverseAt(φ0, φ1);
return p;
};
return p;
}
d3.geo.graticule = function() {
var extent = [[-180, -90], [180, 90]],
step = [22.5, 22.5],
precision = [2, 2];
function graticule() {
return {
type: "GeometryCollection",
geometries: graticule.lines()
};
}
graticule.lines = function() {
var xSteps = d3.range(extent[0][0], extent[1][0] + precision[0] / 2, precision[0]),
ySteps = d3.range(extent[0][1], extent[1][1] + precision[1] / 2, precision[1]),
xLines = d3.range(extent[0][0], extent[1][0] + step[0] / 2, step[0]).map(function(x) { return ySteps.map(function(y) { return [x, y]; }); }),
yLines = d3.range(extent[0][1], extent[1][1] + step[1] / 2, step[1]).map(function(y) { return xSteps.map(function(x) { return [x, y]; }); });
return xLines.concat(yLines).map(function(coordinates) {
return {
type: "LineString",
coordinates: coordinates
};
});
}
graticule.outline = function() {
var ySteps = d3.range(extent[0][1], extent[1][1] + precision[1] / 2, precision[1]),
xSteps = d3.range(extent[0][0], extent[1][0] + precision[0] / 2, precision[0]),
xLine0 = ySteps.map(function(y) { return [extent[0][0], y]; }),
yLine0 = xSteps.map(function(x) { return [x, extent[1][1]]; }),
xLine1 = ySteps.map(function(y) { return [extent[1][0], y]; }).reverse(),
yLine1 = xSteps.map(function(x) { return [x, extent[0][1]]; }).reverse();
yLine1.push(xLine0[0]); // closing coordinate
return {
type: "Polygon",
coordinates: [xLine0.concat(yLine0, xLine1, yLine1)]
};
};
graticule.extent = function(_) {
if (!arguments.length) return extent;
extent = _;
return graticule;
};
graticule.step = function(_) {
if (!arguments.length) return step;
step = _;
return graticule;
};
graticule.precision = function(_) {
if (!arguments.length) return precision;
precision = _;
return graticule;
};
return graticule;
};
d3.geo.projection = projection;
d3.geo.aitoff = function() { return projection(aitoff); };
d3.geo.albersEqualArea = function() { return doubleParallelProjection(albers, albersInverse); };
d3.geo.august = function() { return projection(august); };
d3.geo.bonne = function() { return singleParallelProjection(bonne, bonneInverse).parallel(45); };
d3.geo.collignon = function() { return projection(collignon, collignonInverse); };
d3.geo.conicConformal = function() { return doubleParallelProjection(conicConformal, conicConformalInverse); };
d3.geo.conicEquidistant = function() { return doubleParallelProjection(conicEquidistant, conicEquidistantInverse); };
d3.geo.cylindricalEqualArea = function() { return singleParallelProjection(cylindricalEqualArea, cylindricalEqualAreaInverse); };
d3.geo.eckert1 = function() { return projection(eckert1, eckert1Inverse); };
d3.geo.eckert2 = function() { return projection(eckert2, eckert2Inverse); };
d3.geo.eckert3 = function() { return projection(eckert3, eckert3Inverse); };
d3.geo.eckert4 = function() { return projection(eckert4, eckert4Inverse); };
d3.geo.eckert5 = function() { return projection(eckert5, eckert5Inverse); };
d3.geo.eckert6 = function() { return projection(eckert6, eckert6Inverse); };
d3.geo.eisenlohr = function() { return projection(eisenlohr); };
d3.geo.hammer = function() { return projection(hammer, hammerInverse); };
d3.geo.homolosine = function() { return projection(homolosine, homolosineInverse); };
d3.geo.kavrayskiy7 = function() { return projection(kavrayskiy7, kavrayskiy7Inverse); };
d3.geo.larrivee = function() { return projection(larrivee); };
d3.geo.miller = function() { return projection(miller, millerInverse); };
d3.geo.mollweide = function() { return projection(mollweide, mollweideInverse); };
d3.geo.nellHammer = function() { return projection(nellHammer, nellHammerInverse); };
d3.geo.polyconic = function() { return projection(polyconic, polyconicInverse); };
d3.geo.robinson = function() { return projection(robinson); };
d3.geo.sinusoidal = function() { return projection(sinusoidal, sinusoidalInverse); };
d3.geo.vanDerGrinten = function() { return projection(vanDerGrinten, vanDerGrintenInverse); };
d3.geo.wagner6 = function() { return projection(wagner6); };
d3.geo.winkel3 = function() { return projection(winkel3); };
})();
Acc. 40º 150% Scale Areal Angular name
87.7 0.29 0.37 18.25 Eckert III
87.5 0.25 0.19 20.54 Natural Earth
87.4 0.27 0.17 24.2 Winkel II
86.5 0.23 0.28 19.15 Kavraisky VII
85 0.26 0.18 23.28 Winkel Tripel
84.3 0.27 0.19 21.27 Robinson
83.2 0.25 0.43 16.14 Fahey
81.9 0.36 0 28.73 Eckert IV
81.8 0.26 0.24 22.31 Hölzel
80.4 0.26 0.34 20.41 Wagner VI
80 0.3 0.29 23.47 Eckert V
78.4 0.32 0.07 26.38 McBryde–Thomas Flat-Pole Sine (No. 2)
78.1 0.29 0.23 25.8 Winkel I
77.9 0.28 0.3 22.68 Wagner III
76.5 0.32 0.12 26.88 Wagner II
76.2 0.31 0.25 NaN Denoyer Semi-elliptical
75.2 0.3 0.31 24.31 Putnins P5'
74.3 0.29 0.57 16.84 Equidistant Cylindrical (Plate Carrée)
74.1 0.38 0 30.56 Kavraisky V
74 0.37 0 30.71 Wagner VII
72.4 0.39 0 31.54 Putnins P4'
71.9 0.57 0 30.9 Cylindrical Equal-Area
70.6 0.39 0 32.28 Mollweide
70.5 0.29 0.51 20.36 Ginzburg VIII (TsNIIGAiK 1944)
70.2 0.43 0 30.9 Nell–Hammer
69.1 0.39 0.1 30.79 Putnins P1
68.1 0.36 0.23 30.17 Aitoff
68.1 0.36 0.29 30.3 Eckert I
67 0.44 0 33.33 Foucaut Sinusoidal
63.7 0.44 0 35.2 Boggs Eumorphic
63 0.45 0 35.5 Eckert–Greifendorff
62.9 0.39 1.3 7.63 Miller Cylindrical I
62.4 0.47 0 36 Quartic Authalic
61.7 0.35 1.05 10.06 Larrivée
60.3 0.48 0 36.99 Craster Parabolic (Putnins P4)
58.9 0.46 0 36.39 Goode Homolosine
57.4 0.41 1.46 7.75 van der Grinten (I)
57.4 0.57 4.79 0 Mercator
57.1 0.51 0 39.01 Sinusoidal
49 0.3 0.73 10.62 Gall (Gall Stereographic)
42.2 0.74 0 52.39 Foucaut
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