var adjust_lon = require('../common/adjust_lon');
var qsfnz = require('../common/qsfnz');
var msfnz = require('../common/msfnz');
var iqsfnz = require('../common/iqsfnz');
/*
  reference:  
    "Cartographic Projection Procedures for the UNIX Environment-
    A User's Manual" by Gerald I. Evenden,
    USGS Open File Report 90-284and Release 4 Interim Reports (2003)
*/
exports.init = function() {
  //no-op
  if (!this.sphere) {
    this.k0 = msfnz(this.e, Math.sin(this.lat_ts), Math.cos(this.lat_ts));
  }
};


/* Cylindrical Equal Area forward equations--mapping lat,long to x,y
    ------------------------------------------------------------*/
exports.forward = function(p) {
  var lon = p.x;
  var lat = p.y;
  var x, y;
  /* Forward equations
      -----------------*/
  var dlon = adjust_lon(lon - this.long0);
  if (this.sphere) {
    x = this.x0 + this.a * dlon * Math.cos(this.lat_ts);
    y = this.y0 + this.a * Math.sin(lat) / Math.cos(this.lat_ts);
  }
  else {
    var qs = qsfnz(this.e, Math.sin(lat));
    x = this.x0 + this.a * this.k0 * dlon;
    y = this.y0 + this.a * qs * 0.5 / this.k0;
  }

  p.x = x;
  p.y = y;
  return p;
};

/* Cylindrical Equal Area inverse equations--mapping x,y to lat/long
    ------------------------------------------------------------*/
exports.inverse = function(p) {
  p.x -= this.x0;
  p.y -= this.y0;
  var lon, lat;

  if (this.sphere) {
    lon = adjust_lon(this.long0 + (p.x / this.a) / Math.cos(this.lat_ts));
    lat = Math.asin((p.y / this.a) * Math.cos(this.lat_ts));
  }
  else {
    lat = iqsfnz(this.e, 2 * p.y * this.k0 / this.a);
    lon = adjust_lon(this.long0 + p.x / (this.a * this.k0));
  }

  p.x = lon;
  p.y = lat;
  return p;
};
exports.names = ["cea"];