//http://en.wikipedia.org/wiki/Haversine_formula
//http://www.movable-type.co.uk/scripts/latlong.html

/**
 * Finds the bearing between two {@link Point} geometries.
 *
 * @module turf/bearing
 * @param {Point} start starting Point
 * @param {Point} end ending Point
 * @returns {number} bearing in decimal degrees
 * @example
 * var point1 = turf.point([-75.343, 39.984]);
 * var point2 = turf.point([-75.534, 39.123]);
 *
 * var bearing = turf.bearing(point1, point2);
 *
 * //=bearing
 */
module.exports = function (point1, point2) {
    var coordinates1 = point1.geometry.coordinates;
    var coordinates2 = point2.geometry.coordinates;

    var lon1 = toRad(coordinates1[0]);
    var lon2 = toRad(coordinates2[0]);
    var lat1 = toRad(coordinates1[1]);
    var lat2 = toRad(coordinates2[1]);
    var a = Math.sin(lon2 - lon1) * Math.cos(lat2);
    var b = Math.cos(lat1) * Math.sin(lat2) -
        Math.sin(lat1) * Math.cos(lat2) * Math.cos(lon2 - lon1);

    var bearing = toDeg(Math.atan2(a, b));

    return bearing;
};

function toRad(degree) {
    return degree * Math.PI / 180;
}

function toDeg(radian) {
    return radian * 180 / Math.PI;
}

//http://en.wikipedia.org/wiki/Haversine_formula
//http://www.movable-type.co.uk/scripts/latlong.html

/**
 * Takes two {@link Point} features and finds the bearing between them.
 *
 * @module turf/bearing
 * @param {Point} start starting Point
 * @param {Point} end ending Point
 * @returns {Number} bearing in decimal degrees
 * @example
 * var point1 = turf.point([-75.343, 39.984]);
 * var point2 = turf.point([-75.534, 39.123]);
 *
 * var bearing = turf.bearing(point1, point2);
 *
 * //=bearing
 */
module.exports = function (point1, point2) {
    var coordinates1 = point1.geometry.coordinates;
    var coordinates2 = point2.geometry.coordinates;

    var lon1 = toRad(coordinates1[0]);
    var lon2 = toRad(coordinates2[0]);
    var lat1 = toRad(coordinates1[1]);
    var lat2 = toRad(coordinates2[1]);
    var a = Math.sin(lon2 - lon1) * Math.cos(lat2);
    var b = Math.cos(lat1) * Math.sin(lat2) -
        Math.sin(lat1) * Math.cos(lat2) * Math.cos(lon2 - lon1);

    var bearing = toDeg(Math.atan2(a, b));

    return bearing;
};

function toRad(degree) {
    return degree * Math.PI / 180;
}

function toDeg(radian) {
    return radian * 180 / Math.PI;
}

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