/// <reference path="../../../globals.d.ts" />
/// <reference path="./coordinate3.d.ts" />

declare module goog.math {

    class Vec3 extends Vec3__Class { }
    /** Fake class which should be extended to avoid inheriting static properties */
    class Vec3__Class extends goog.math.Coordinate3__Class  { 
    
            /**
             * Class for a three-dimensional vector object and assorted functions useful for
             * manipulation.
             *
             * Inherits from goog.math.Coordinate3 so that a Vec3 may be passed in to any
             * function that requires a Coordinate.
             *
             * @param {number} x The x value for the vector.
             * @param {number} y The y value for the vector.
             * @param {number} z The z value for the vector.
             * @constructor
             * @extends {goog.math.Coordinate3}
             */
            constructor(x: number, y: number, z: number);
    
            /**
             * X-value
             * @type {number}
             */
            x: number;
    
            /**
             * Y-value
             * @type {number}
             */
            y: number;
    
            /**
             * Z-value
             * @type {number}
             */
            z: number;
    
            /**
             * Returns the magnitude of the vector measured from the origin.
             *
             * @return {number} The length of the vector.
             */
            magnitude(): number;
    
            /**
             * Returns the squared magnitude of the vector measured from the origin.
             * NOTE(brenneman): Leaving out the square root is not a significant
             * optimization in JavaScript.
             *
             * @return {number} The length of the vector, squared.
             */
            squaredMagnitude(): number;
    
            /**
             * Scales the current vector by a constant.
             *
             * @param {number} s The scale factor.
             * @return {!goog.math.Vec3} This vector, scaled.
             */
            scale(s: number): goog.math.Vec3;
    
            /**
             * Reverses the sign of the vector. Equivalent to scaling the vector by -1.
             *
             * @return {!goog.math.Vec3} This vector, inverted.
             */
            invert(): goog.math.Vec3;
    
            /**
             * Normalizes the current vector to have a magnitude of 1.
             *
             * @return {!goog.math.Vec3} This vector, normalized.
             */
            normalize(): goog.math.Vec3;
    
            /**
             * Adds another vector to this vector in-place.
             *
             * @param {goog.math.Vec3} b The vector to add.
             * @return {!goog.math.Vec3} This vector with {@code b} added.
             */
            add(b: goog.math.Vec3): goog.math.Vec3;
    
            /**
             * Subtracts another vector from this vector in-place.
             *
             * @param {goog.math.Vec3} b The vector to subtract.
             * @return {!goog.math.Vec3} This vector with {@code b} subtracted.
             */
            subtract(b: goog.math.Vec3): goog.math.Vec3;
    
            /**
             * Compares this vector with another for equality.
             *
             * @param {goog.math.Vec3} b The other vector.
             * @return {boolean} True if this vector's x, y and z equal the given vector's
             *     x, y, and z, respectively.
             */
            equals(b: goog.math.Vec3): boolean;
    } 
    
}

declare module goog.math.Vec3 {

    /**
     * Generates a random unit vector.
     *
     * http://mathworld.wolfram.com/SpherePointPicking.html
     * Using (6), (7), and (8) to generate coordinates.
     * @return {!goog.math.Vec3} A random unit-length vector.
     */
    function randomUnit(): goog.math.Vec3;

    /**
     * Generates a random vector inside the unit sphere.
     *
     * @return {!goog.math.Vec3} A random vector.
     */
    function random(): goog.math.Vec3;

    /**
     * Returns a new Vec3 object from a given coordinate.
     *
     * @param {goog.math.Coordinate3} a The coordinate.
     * @return {!goog.math.Vec3} A new vector object.
     */
    function fromCoordinate3(a: goog.math.Coordinate3): goog.math.Vec3;

    /**
     * Returns the distance between two vectors.
     *
     * @param {goog.math.Vec3} a The first vector.
     * @param {goog.math.Vec3} b The second vector.
     * @return {number} The distance.
     */
    function distance(a: goog.math.Vec3, b: goog.math.Vec3): number;

    /**
     * Returns the squared distance between two vectors.
     *
     * @param {goog.math.Vec3} a The first vector.
     * @param {goog.math.Vec3} b The second vector.
     * @return {number} The squared distance.
     */
    function squaredDistance(a: goog.math.Vec3, b: goog.math.Vec3): number;

    /**
     * Compares vectors for equality.
     *
     * @param {goog.math.Vec3} a The first vector.
     * @param {goog.math.Vec3} b The second vector.
     * @return {boolean} True if the vectors have equal x, y, and z coordinates.
     */
    function equals(a: goog.math.Vec3, b: goog.math.Vec3): boolean;

    /**
     * Returns the sum of two vectors as a new Vec3.
     *
     * @param {goog.math.Vec3} a The first vector.
     * @param {goog.math.Vec3} b The second vector.
     * @return {!goog.math.Vec3} The sum vector.
     */
    function sum(a: goog.math.Vec3, b: goog.math.Vec3): goog.math.Vec3;

    /**
     * Returns the difference of two vectors as a new Vec3.
     *
     * @param {goog.math.Vec3} a The first vector.
     * @param {goog.math.Vec3} b The second vector.
     * @return {!goog.math.Vec3} The difference vector.
     */
    function difference(a: goog.math.Vec3, b: goog.math.Vec3): goog.math.Vec3;

    /**
     * Returns the dot-product of two vectors.
     *
     * @param {goog.math.Vec3} a The first vector.
     * @param {goog.math.Vec3} b The second vector.
     * @return {number} The dot-product of the two vectors.
     */
    function dot(a: goog.math.Vec3, b: goog.math.Vec3): number;

    /**
     * Returns the cross-product of two vectors.
     *
     * @param {goog.math.Vec3} a The first vector.
     * @param {goog.math.Vec3} b The second vector.
     * @return {!goog.math.Vec3} The cross-product of the two vectors.
     */
    function cross(a: goog.math.Vec3, b: goog.math.Vec3): goog.math.Vec3;

    /**
     * Returns a new Vec3 that is the linear interpolant between vectors a and b at
     * scale-value x.
     *
     * @param {goog.math.Vec3} a Vector a.
     * @param {goog.math.Vec3} b Vector b.
     * @param {number} x The proportion between a and b.
     * @return {!goog.math.Vec3} The interpolated vector.
     */
    function lerp(a: goog.math.Vec3, b: goog.math.Vec3, x: number): goog.math.Vec3;
}