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path: root/src/projection/equalEarth.js
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import projection from "./index.js";
import {abs, asin, cos, epsilon2, sin, sqrt} from "../math.js";

var A1 = 1.340264,
    A2 = -0.081106,
    A3 = 0.000893,
    A4 = 0.003796,
    M = sqrt(3) / 2,
    iterations = 12;

export function equalEarthRaw(lambda, phi) {
  var l = asin(M * sin(phi)), l2 = l * l, l6 = l2 * l2 * l2;
  return [
    lambda * cos(l) / (M * (A1 + 3 * A2 * l2 + l6 * (7 * A3 + 9 * A4 * l2))),
    l * (A1 + A2 * l2 + l6 * (A3 + A4 * l2))
  ];
}

equalEarthRaw.invert = function(x, y) {
  var l = y, l2 = l * l, l6 = l2 * l2 * l2;
  for (var i = 0, delta, fy, fpy; i < iterations; ++i) {
    fy = l * (A1 + A2 * l2 + l6 * (A3 + A4 * l2)) - y;
    fpy = A1 + 3 * A2 * l2 + l6 * (7 * A3 + 9 * A4 * l2);
    l -= delta = fy / fpy, l2 = l * l, l6 = l2 * l2 * l2;
    if (abs(delta) < epsilon2) break;
  }
  return [
    M * x * (A1 + 3 * A2 * l2 + l6 * (7 * A3 + 9 * A4 * l2)) / cos(l),
    asin(sin(l) / M)
  ];
};

export default function() {
  return projection(equalEarthRaw)
      .scale(177.158);
}