'use strict';

module.exports = Point;

/**
 * A standalone point geometry with useful accessor, comparison, and
 * modification methods.
 *
 * @class Point
 * @param {Number} x the x-coordinate. this could be longitude or screen
 * pixels, or any other sort of unit.
 * @param {Number} y the y-coordinate. this could be latitude or screen
 * pixels, or any other sort of unit.
 * @example
 * var point = new Point(-77, 38);
 */
function Point(x, y) {
    this.x = x;
    this.y = y;
}

Point.prototype = {

    /**
     * Clone this point, returning a new point that can be modified
     * without affecting the old one.
     * @return {Point} the clone
     */
    clone: function() { return new Point(this.x, this.y); },

    /**
     * Add this point's x & y coordinates to another point,
     * yielding a new point.
     * @param {Point} p the other point
     * @return {Point} output point
     */
    add:     function(p) { return this.clone()._add(p); },

    /**
     * Subtract this point's x & y coordinates to from point,
     * yielding a new point.
     * @param {Point} p the other point
     * @return {Point} output point
     */
    sub:     function(p) { return this.clone()._sub(p); },

    /**
     * Multiply this point's x & y coordinates by point,
     * yielding a new point.
     * @param {Point} p the other point
     * @return {Point} output point
     */
    multByPoint:    function(p) { return this.clone()._multByPoint(p); },

    /**
     * Divide this point's x & y coordinates by point,
     * yielding a new point.
     * @param {Point} p the other point
     * @return {Point} output point
     */
    divByPoint:     function(p) { return this.clone()._divByPoint(p); },

    /**
     * Multiply this point's x & y coordinates by a factor,
     * yielding a new point.
     * @param {Point} k factor
     * @return {Point} output point
     */
    mult:    function(k) { return this.clone()._mult(k); },

    /**
     * Divide this point's x & y coordinates by a factor,
     * yielding a new point.
     * @param {Point} k factor
     * @return {Point} output point
     */
    div:     function(k) { return this.clone()._div(k); },

    /**
     * Rotate this point around the 0, 0 origin by an angle a,
     * given in radians
     * @param {Number} a angle to rotate around, in radians
     * @return {Point} output point
     */
    rotate:  function(a) { return this.clone()._rotate(a); },

    /**
     * Rotate this point around p point by an angle a,
     * given in radians
     * @param {Number} a angle to rotate around, in radians
     * @param {Point} p Point to rotate around
     * @return {Point} output point
     */
    rotateAround:  function(a,p) { return this.clone()._rotateAround(a,p); },

    /**
     * Multiply this point by a 4x1 transformation matrix
     * @param {Array<Number>} m transformation matrix
     * @return {Point} output point
     */
    matMult: function(m) { return this.clone()._matMult(m); },

    /**
     * Calculate this point but as a unit vector from 0, 0, meaning
     * that the distance from the resulting point to the 0, 0
     * coordinate will be equal to 1 and the angle from the resulting
     * point to the 0, 0 coordinate will be the same as before.
     * @return {Point} unit vector point
     */
    unit:    function() { return this.clone()._unit(); },

    /**
     * Compute a perpendicular point, where the new y coordinate
     * is the old x coordinate and the new x coordinate is the old y
     * coordinate multiplied by -1
     * @return {Point} perpendicular point
     */
    perp:    function() { return this.clone()._perp(); },

    /**
     * Return a version of this point with the x & y coordinates
     * rounded to integers.
     * @return {Point} rounded point
     */
    round:   function() { return this.clone()._round(); },

    /**
     * Return the magitude of this point: this is the Euclidean
     * distance from the 0, 0 coordinate to this point's x and y
     * coordinates.
     * @return {Number} magnitude
     */
    mag: function() {
        return Math.sqrt(this.x * this.x + this.y * this.y);
    },

    /**
     * Judge whether this point is equal to another point, returning
     * true or false.
     * @param {Point} other the other point
     * @return {boolean} whether the points are equal
     */
    equals: function(other) {
        return this.x === other.x &&
               this.y === other.y;
    },

    /**
     * Calculate the distance from this point to another point
     * @param {Point} p the other point
     * @return {Number} distance
     */
    dist: function(p) {
        return Math.sqrt(this.distSqr(p));
    },

    /**
     * Calculate the distance from this point to another point,
     * without the square root step. Useful if you're comparing
     * relative distances.
     * @param {Point} p the other point
     * @return {Number} distance
     */
    distSqr: function(p) {
        var dx = p.x - this.x,
            dy = p.y - this.y;
        return dx * dx + dy * dy;
    },

    /**
     * Get the angle from the 0, 0 coordinate to this point, in radians
     * coordinates.
     * @return {Number} angle
     */
    angle: function() {
        return Math.atan2(this.y, this.x);
    },

    /**
     * Get the angle from this point to another point, in radians
     * @param {Point} b the other point
     * @return {Number} angle
     */
    angleTo: function(b) {
        return Math.atan2(this.y - b.y, this.x - b.x);
    },

    /**
     * Get the angle between this point and another point, in radians
     * @param {Point} b the other point
     * @return {Number} angle
     */
    angleWith: function(b) {
        return this.angleWithSep(b.x, b.y);
    },

    /*
     * Find the angle of the two vectors, solving the formula for
     * the cross product a x b = |a||b|sin(θ) for θ.
     * @param {Number} x the x-coordinate
     * @param {Number} y the y-coordinate
     * @return {Number} the angle in radians
     */
    angleWithSep: function(x, y) {
        return Math.atan2(
            this.x * y - this.y * x,
            this.x * x + this.y * y);
    },

    _matMult: function(m) {
        var x = m[0] * this.x + m[1] * this.y,
            y = m[2] * this.x + m[3] * this.y;
        this.x = x;
        this.y = y;
        return this;
    },

    _add: function(p) {
        this.x += p.x;
        this.y += p.y;
        return this;
    },

    _sub: function(p) {
        this.x -= p.x;
        this.y -= p.y;
        return this;
    },

    _mult: function(k) {
        this.x *= k;
        this.y *= k;
        return this;
    },

    _div: function(k) {
        this.x /= k;
        this.y /= k;
        return this;
    },

    _multByPoint: function(p) {
        this.x *= p.x;
        this.y *= p.y;
        return this;
    },

    _divByPoint: function(p) {
        this.x /= p.x;
        this.y /= p.y;
        return this;
    },

    _unit: function() {
        this._div(this.mag());
        return this;
    },

    _perp: function() {
        var y = this.y;
        this.y = this.x;
        this.x = -y;
        return this;
    },

    _rotate: function(angle) {
        var cos = Math.cos(angle),
            sin = Math.sin(angle),
            x = cos * this.x - sin * this.y,
            y = sin * this.x + cos * this.y;
        this.x = x;
        this.y = y;
        return this;
    },

    _rotateAround: function(angle, p) {
        var cos = Math.cos(angle),
            sin = Math.sin(angle),
            x = p.x + cos * (this.x - p.x) - sin * (this.y - p.y),
            y = p.y + sin * (this.x - p.x) + cos * (this.y - p.y);
        this.x = x;
        this.y = y;
        return this;
    },

    _round: function() {
        this.x = Math.round(this.x);
        this.y = Math.round(this.y);
        return this;
    }
};

/**
 * Construct a point from an array if necessary, otherwise if the input
 * is already a Point, or an unknown type, return it unchanged
 * @param {Array<Number>|Point|*} a any kind of input value
 * @return {Point} constructed point, or passed-through value.
 * @example
 * // this
 * var point = Point.convert([0, 1]);
 * // is equivalent to
 * var point = new Point(0, 1);
 */
Point.convert = function (a) {
    if (a instanceof Point) {
        return a;
    }
    if (Array.isArray(a)) {
        return new Point(a[0], a[1]);
    }
    return a;
};