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satellite.js
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satellite.js
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import {geoProjectionMutator as projectionMutator} from "d3-geo";
import {acos, asin, atan2, cos, degrees, radians, sin, sqrt} from "./math.js";
function satelliteVerticalRaw(P) {
function forward(lambda, phi) {
var cosPhi = cos(phi),
k = (P - 1) / (P - cosPhi * cos(lambda));
return [
k * cosPhi * sin(lambda),
k * sin(phi)
];
}
forward.invert = function(x, y) {
var rho2 = x * x + y * y,
rho = sqrt(rho2),
sinc = (P - sqrt(1 - rho2 * (P + 1) / (P - 1))) / ((P - 1) / rho + rho / (P - 1));
return [
atan2(x * sinc, rho * sqrt(1 - sinc * sinc)),
rho ? asin(y * sinc / rho) : 0
];
};
return forward;
}
export function satelliteRaw(P, omega) {
var vertical = satelliteVerticalRaw(P);
if (!omega) return vertical;
var cosOmega = cos(omega),
sinOmega = sin(omega);
function forward(lambda, phi) {
var coordinates = vertical(lambda, phi),
y = coordinates[1],
A = y * sinOmega / (P - 1) + cosOmega;
return [
coordinates[0] * cosOmega / A,
y / A
];
}
forward.invert = function(x, y) {
var k = (P - 1) / (P - 1 - y * sinOmega);
return vertical.invert(k * x, k * y * cosOmega);
};
return forward;
}
export default function() {
var distance = 2,
omega = 0,
m = projectionMutator(satelliteRaw),
p = m(distance, omega);
// As a multiple of radius.
p.distance = function(_) {
if (!arguments.length) return distance;
return m(distance = +_, omega);
};
p.tilt = function(_) {
if (!arguments.length) return omega * degrees;
return m(distance, omega = _ * radians);
};
return p
.scale(432.147)
.clipAngle(acos(1 / distance) * degrees - 1e-6);
}