import {asin, cos, sin} from "./math.js";
import parallel1 from "./parallel1.js";

export function cylindricalEqualAreaRaw(phi0) {
  var cosPhi0 = cos(phi0);

  function forward(lambda, phi) {
    return [lambda * cosPhi0, sin(phi) / cosPhi0];
  }

  forward.invert = function(x, y) {
    return [x / cosPhi0, asin(y * cosPhi0)];
  };

  return forward;
}

export default function() {
  return parallel1(cylindricalEqualAreaRaw)
      .parallel(38.58) // acos(sqrt(width / height / pi)) * radians
      .scale(195.044); // width / (sqrt(width / height / pi) * 2 * pi)
}