// Convert this text file to .js 
function utmToLat(zone, easting, northing, northernHemisphere){
    if (!northernHemisphere){
        northing = 10000000 - northing;
    }

    var a = 6378137;
    var e = 0.081819191;
    var e1sq = 0.006739497;
    var k0 = 0.9996;

    var arc = northing / k0;
    var mu = arc / (a * (1 - Math.pow(e, 2) / 4.0 - 3 * Math.pow(e, 4) / 64.0 - 5 * Math.pow(e, 6) / 256.0));

    var ei = (1 - Math.pow((1 - e * e), (1 / 2.0))) / (1 + Math.pow((1 - e * e), (1 / 2.0)));
    var ca = 3 * ei / 2 - 27 * Math.pow(ei, 3) / 32.0;

    var cb = 21 * Math.pow(ei, 2) / 16 - 55 * Math.pow(ei, 4) / 32;
    var cc = 151 * Math.pow(ei, 3) / 96;
    var cd = 1097 * Math.pow(ei, 4) / 512;
    var phi1 = mu + ca * Math.sin(2 * mu) + cb * Math.sin(4 * mu) + cc * Math.sin(6 * mu) + cd * Math.sin(8 * mu);

    var n0 = a / Math.pow((1 - Math.pow((e * Math.sin(phi1)), 2)), (1 / 2.0));

    var r0 = a * (1 - e * e) / Math.pow((1 - Math.pow((e * Math.sin(phi1)), 2)), (3 / 2.0));
    var fact1 = n0 * Math.tan(phi1) / r0;

    var _a1 = 500000 - easting;
    var dd0 = _a1 / (n0 * k0);
    var fact2 = dd0 * dd0 / 2;

    var t0 = Math.pow(Math.tan(phi1), 2);
    var Q0 = e1sq * Math.pow(Math.cos(phi1), 2);
    var fact3 = (5 + 3 * t0 + 10 * Q0 - 4 * Q0 * Q0 - 9 * e1sq) * Math.pow(dd0, 4) / 24;

    var fact4 = (61 + 90 * t0 + 298 * Q0 + 45 * t0 * t0 - 252 * e1sq - 3 * Q0 * Q0) * Math.pow(dd0, 6) / 720;

    var lof1 = _a1 / (n0 * k0);
    var lof2 = (1 + 2 * t0 + Q0) * Math.pow(dd0, 3) / 6.0;
    var lof3 = (5 - 2 * Q0 + 28 * t0 - 3 * Math.pow(Q0, 2) + 8 * e1sq + 24 * Math.pow(t0, 2)) * Math.pow(dd0, 5) / 120;
    var _a2 = (lof1 - lof2 + lof3) / Math.cos(phi1);
    var _a3 = _a2 * 180 / Math.PI;

    var latitude = 180 * (phi1 - fact1 * (fact2 + fact3 + fact4)) / Math.PI;

    if (!northernHemisphere){
      latitude = -latitude;
    }

    var longitude = ((zone > 0) && (6 * zone - 183.0) || 3.0) - _a3;


    return latitude;
}

function utmToLon(zone, easting, northing, northernHemisphere){
    if (!northernHemisphere){
        northing = 10000000 - northing;
    }

    var a = 6378137;
    var e = 0.081819191;
    var e1sq = 0.006739497;
    var k0 = 0.9996;

    var arc = northing / k0;
    var mu = arc / (a * (1 - Math.pow(e, 2) / 4.0 - 3 * Math.pow(e, 4) / 64.0 - 5 * Math.pow(e, 6) / 256.0));

    var ei = (1 - Math.pow((1 - e * e), (1 / 2.0))) / (1 + Math.pow((1 - e * e), (1 / 2.0)));
    var ca = 3 * ei / 2 - 27 * Math.pow(ei, 3) / 32.0;

    var cb = 21 * Math.pow(ei, 2) / 16 - 55 * Math.pow(ei, 4) / 32;
    var cc = 151 * Math.pow(ei, 3) / 96;
    var cd = 1097 * Math.pow(ei, 4) / 512;
    var phi1 = mu + ca * Math.sin(2 * mu) + cb * Math.sin(4 * mu) + cc * Math.sin(6 * mu) + cd * Math.sin(8 * mu);

    var n0 = a / Math.pow((1 - Math.pow((e * Math.sin(phi1)), 2)), (1 / 2.0));

    var r0 = a * (1 - e * e) / Math.pow((1 - Math.pow((e * Math.sin(phi1)), 2)), (3 / 2.0));
    var fact1 = n0 * Math.tan(phi1) / r0;

    var _a1 = 500000 - easting;
    var dd0 = _a1 / (n0 * k0);
    var fact2 = dd0 * dd0 / 2;

    var t0 = Math.pow(Math.tan(phi1), 2);
    var Q0 = e1sq * Math.pow(Math.cos(phi1), 2);
    var fact3 = (5 + 3 * t0 + 10 * Q0 - 4 * Q0 * Q0 - 9 * e1sq) * Math.pow(dd0, 4) / 24;

    var fact4 = (61 + 90 * t0 + 298 * Q0 + 45 * t0 * t0 - 252 * e1sq - 3 * Q0 * Q0) * Math.pow(dd0, 6) / 720;

    var lof1 = _a1 / (n0 * k0);
    var lof2 = (1 + 2 * t0 + Q0) * Math.pow(dd0, 3) / 6.0;
    var lof3 = (5 - 2 * Q0 + 28 * t0 - 3 * Math.pow(Q0, 2) + 8 * e1sq + 24 * Math.pow(t0, 2)) * Math.pow(dd0, 5) / 120;
    var _a2 = (lof1 - lof2 + lof3) / Math.cos(phi1);
    var _a3 = _a2 * 180 / Math.PI;

    var latitude = 180 * (phi1 - fact1 * (fact2 + fact3 + fact4)) / Math.PI;

    if (!northernHemisphere){
      latitude = -latitude;
    }

    var longitude = ((zone > 0) && (6 * zone - 183.0) || 3.0) - _a3;


    return longitude;
}

function buffer_coords(center_Y, center_X,buffer_dist, angle_deg) {
    const pi = 3.14159265359;
	const buff_Y = center_Y+buffer_dist*(Math.sin(angle_deg*pi/180))
	const buff_X = center_X+buffer_dist*(Math.cos(angle_deg*pi/180))
	const buff_lat = round(utmToLat(11,buff_X,buff_Y,"True"),7)
	const buff_lon = round(utmToLon(11,buff_X,buff_Y,"True"),7)
    const coord_pair = buff_lat+ " "+buff_lon+"; "
    return coord_pair;
}

function generateBufferCoordinates(center_Y, center_X, buffer_dist) {
    const coordinates = [];
    for (let angle_deg = 0; angle_deg < 360; angle_deg++) {
        const coord_pair = buffer_coords(center_Y, center_X, buffer_dist, angle_deg);
        coordinates.push(coord_pair);
    }
    return coordinates.join(""); // Concatenate all coordinate pairs into a single string
}