# Source: src/physics/ninja/AABB.js

    /* jshint camelcase: false */
    /**
    * @author       Richard Davey <rich@photonstorm.com>
    * @copyright    2016 Photon Storm Ltd.
    * @license      {@link https://github.com/photonstorm/phaser/blob/master/license.txt|MIT License}
    */

    /**
    * Ninja Physics AABB constructor.
    * Note: This class could be massively optimised and reduced in size. I leave that challenge up to you.
    *
    * @class Phaser.Physics.Ninja.AABB
    * @constructor
    * @param {Phaser.Physics.Ninja.Body} body - The body that owns this shape.
    * @param {number} x - The x coordinate to create this shape at.
    * @param {number} y - The y coordinate to create this shape at.
    * @param {number} width - The width of this AABB.
    * @param {number} height - The height of this AABB.
    */
    Phaser.Physics.Ninja.AABB = function (body, x, y, width, height) {

        /**
        * @property {Phaser.Physics.Ninja.Body} system - A reference to the body that owns this shape.
        */
        this.body = body;

        /**
        * @property {Phaser.Physics.Ninja} system - A reference to the physics system.
        */
        this.system = body.system;

        /**
        * @property {Phaser.Point} pos - The position of this object.
        */
        this.pos = new Phaser.Point(x, y);

        /**
        * @property {Phaser.Point} oldpos - The position of this object in the previous update.
        */
        this.oldpos = new Phaser.Point(x, y);

        /**
        * @property {number} xw - Half the width.
        * @readonly
        */
        this.xw = Math.abs(width / 2);

        /**
        * @property {number} xw - Half the height.
        * @readonly
        */
        this.yw = Math.abs(height / 2);

        /**
        * @property {number} width - The width.
        * @readonly
        */
        this.width = width;

        /**
        * @property {number} height - The height.
        * @readonly
        */
        this.height = height;

        /**
        * @property {number} oH - Internal var.
        * @private
        */
        this.oH = 0;

        /**
        * @property {number} oV - Internal var.
        * @private
        */
        this.oV = 0;

        /**
        * @property {Phaser.Point} velocity - The velocity of this object.
        */
        this.velocity = new Phaser.Point();

        /**
        * @property {object} aabbTileProjections - All of the collision response handlers.
        */
        this.aabbTileProjections = {};

        this.aabbTileProjections[Phaser.Physics.Ninja.Tile.TYPE_FULL] = this.projAABB_Full;
        this.aabbTileProjections[Phaser.Physics.Ninja.Tile.TYPE_45DEG] = this.projAABB_45Deg;
        this.aabbTileProjections[Phaser.Physics.Ninja.Tile.TYPE_CONCAVE] = this.projAABB_Concave;
        this.aabbTileProjections[Phaser.Physics.Ninja.Tile.TYPE_CONVEX] = this.projAABB_Convex;
        this.aabbTileProjections[Phaser.Physics.Ninja.Tile.TYPE_22DEGs] = this.projAABB_22DegS;
        this.aabbTileProjections[Phaser.Physics.Ninja.Tile.TYPE_22DEGb] = this.projAABB_22DegB;
        this.aabbTileProjections[Phaser.Physics.Ninja.Tile.TYPE_67DEGs] = this.projAABB_67DegS;
        this.aabbTileProjections[Phaser.Physics.Ninja.Tile.TYPE_67DEGb] = this.projAABB_67DegB;
        this.aabbTileProjections[Phaser.Physics.Ninja.Tile.TYPE_HALF] = this.projAABB_Half;

    };

    Phaser.Physics.Ninja.AABB.prototype.constructor = Phaser.Physics.Ninja.AABB;

    Phaser.Physics.Ninja.AABB.COL_NONE = 0;
    Phaser.Physics.Ninja.AABB.COL_AXIS = 1;
    Phaser.Physics.Ninja.AABB.COL_OTHER = 2;

    Phaser.Physics.Ninja.AABB.prototype = {

        /**
        * Updates this AABBs position.
        *
        * @method Phaser.Physics.Ninja.AABB#integrate
        */
        integrate: function () {

            var px = this.pos.x;
            var py = this.pos.y;

            //  integrate
            this.pos.x += (this.body.drag * this.pos.x) - (this.body.drag * this.oldpos.x);
            this.pos.y += (this.body.drag * this.pos.y) - (this.body.drag * this.oldpos.y) + (this.system.gravity * this.body.gravityScale);

            //  store
            this.velocity.set(this.pos.x - px, this.pos.y - py);
            this.oldpos.set(px, py);

        },

        /**
         * Process a collision partner-agnostic collision response and apply the resulting forces.
         *
         * @method Phaser.Physics.Ninja.AABB#reportCollision
         * @param {number} px - The tangent velocity
         * @param {number} py - The tangent velocity
         * @param {number} dx - Collision normal
         * @param {number} dy - Collision normal
         */
        reportCollision: function(px, py, dx, dy) {

            var p = this.pos;
            var o = this.oldpos;

            //  Calc velocity
            var vx = p.x - o.x;
            var vy = p.y - o.y;

            //  Find component of velocity parallel to collision normal
            var dp = (vx * dx + vy * dy);
            var nx = dp * dx;   //project velocity onto collision normal

            var ny = dp * dy;   //nx,ny is normal velocity

            var tx = vx - nx;   //tx,ty is tangent velocity
            var ty = vy - ny;

            //  We only want to apply collision response forces if the object is travelling into, and not out of, the collision
            var b, bx, by, fx, fy;

            if (dp < 0)
            {
                fx = tx * this.body.friction;
                fy = ty * this.body.friction;

                b = 1 + this.body.bounce;

                bx = (nx * b);
                by = (ny * b);

                if (dx === 1)
                {
                    this.body.touching.left = true;
                }
                else if (dx === -1)
                {
                    this.body.touching.right = true;
                }

                if (dy === 1)
                {
                    this.body.touching.up = true;
                }
                else if (dy === -1)
                {
                    this.body.touching.down = true;
                }
            }
            else
            {
                //  Moving out of collision, do not apply forces
                bx = by = fx = fy = 0;
            }

            //  Project object out of collision
            p.x += px;
            p.y += py;

            //  Apply bounce+friction impulses which alter velocity
            o.x += px + bx + fx;
            o.y += py + by + fy;

        },

        /**
        * Process a world collision and apply the resulting forces.
        *
        * @method Phaser.Physics.Ninja.AABB#reportCollisionVsWorld
        * @param {number} px - The tangent velocity
        * @param {number} py - The tangent velocity
        * @param {number} dx - Collision normal
        * @param {number} dy - Collision normal
        */
        reportCollisionVsWorld: function (px, py, dx, dy) {

            this.reportCollision(px,py,dx,dy);
        },

        /**
        * @method Phaser.Physics.Ninja.AABB#reverse
        */
        reverse: function () {

            var vx = this.pos.x - this.oldpos.x;
            var vy = this.pos.y - this.oldpos.y;

            if (this.oldpos.x < this.pos.x)
            {
                this.oldpos.x = this.pos.x + vx;
                // this.oldpos.x = this.pos.x + (vx + 1 + this.body.bounce);
            }
            else if (this.oldpos.x > this.pos.x)
            {
                this.oldpos.x = this.pos.x - vx;
                // this.oldpos.x = this.pos.x - (vx + 1 + this.body.bounce);
            }

            if (this.oldpos.y < this.pos.y)
            {
                this.oldpos.y = this.pos.y + vy;
                // this.oldpos.y = this.pos.y + (vy + 1 + this.body.bounce);
            }
            else if (this.oldpos.y > this.pos.y)
            {
                this.oldpos.y = this.pos.y - vy;
                // this.oldpos.y = this.pos.y - (vy + 1 + this.body.bounce);
            }

        },

        /**
        * Process a body collision and apply the resulting forces. Still very much WIP and doesn't work fully. Feel free to fix!
        *
        * @method Phaser.Physics.Ninja.AABB#reportCollisionVsBody
        * @param {number} px - The tangent velocity
        * @param {number} py - The tangent velocity
        * @param {number} dx - Collision normal
        * @param {number} dy - Collision normal
        * @param {number} obj - Object this AABB collided with
        */
        reportCollisionVsBody: function (px, py, dx, dy, obj) {

            //  We only want to apply collision response forces if the object is travelling into, and not out of, the collision
            if (this.body.immovable && obj.body.immovable)
            {
                //  Split the separation then return, no forces applied as they come to a stand-still
                px *= 0.5;
                py *= 0.5;

                this.pos.add(px, py);
                this.oldpos.set(this.pos.x, this.pos.y);

                obj.pos.subtract(px, py);
                obj.oldpos.set(obj.pos.x, obj.pos.y);

                return;
            }
            else if (!this.body.immovable && !obj.body.immovable)
            {
                //  separate
                px *= 0.5;
                py *= 0.5;

                this.reportCollision(px, py, dx, dy);
                obj.reportCollision(-px, -py, -dx, -dy);
            }
            else if (!this.body.immovable)
            {
                this.reportCollision(px,py,dx,dy);
            }
            else if (!obj.body.immovable)
            {
                obj.reportCollision(-px, -py, -dx, -dy);
            }

        },

        /**
        * Collides this AABB against the world bounds.
        *
        * @method Phaser.Physics.Ninja.AABB#collideWorldBounds
        */
        collideWorldBounds: function () {

            var dx = this.system.bounds.x - (this.pos.x - this.xw);

            if (0 < dx)
            {
                this.reportCollisionVsWorld(dx, 0, 1, 0, null);
            }
            else
            {
                dx = (this.pos.x + this.xw) - this.system.bounds.right;

                if (0 < dx)
                {
                    this.reportCollisionVsWorld(-dx, 0, -1, 0, null);
                }
            }

            var dy = this.system.bounds.y - (this.pos.y - this.yw);

            if (0 < dy)
            {
                this.reportCollisionVsWorld(0, dy, 0, 1, null);
            }
            else
            {
                dy = (this.pos.y + this.yw) - this.system.bounds.bottom;

                if (0 < dy)
                {
                    this.reportCollisionVsWorld(0, -dy, 0, -1, null);
                }
            }

        },

        /**
        * Collides this AABB against a AABB.
        *
        * @method Phaser.Physics.Ninja.AABB#collideAABBVsAABB
        * @param {Phaser.Physics.Ninja.AABB} aabb - The AABB to collide against.
        */
        collideAABBVsAABB: function (aabb) {

            var pos = this.pos;
            var c = aabb;

            var tx = c.pos.x;
            var ty = c.pos.y;
            var txw = c.xw;
            var tyw = c.yw;

            var dx = pos.x - tx;//tile->obj delta
            var px = (txw + this.xw) - Math.abs(dx);//penetration depth in x

            if (0 < px)
            {
                var dy = pos.y - ty;//tile->obj delta
                var py = (tyw + this.yw) - Math.abs(dy);//pen depth in y

                if (0 < py)
                {
                    //object may be colliding with tile; call tile-specific collision function

                    //calculate projection vectors
                    if (px < py)
                    {
                        //project in x
                        if (dx < 0)
                        {
                            //project to the left
                            px *= -1;
                            py = 0;
                        }
                        else
                        {
                            //proj to right
                            py = 0;
                        }
                    }
                    else
                    {
                        //project in y
                        if (dy < 0)
                        {
                            //project up
                            px = 0;
                            py *= -1;
                        }
                        else
                        {
                            //project down
                            px = 0;
                        }
                    }

                    var l = Math.sqrt(px * px + py * py);
                    this.reportCollisionVsBody(px, py, px / l, py / l, c);

                    return Phaser.Physics.Ninja.AABB.COL_AXIS;

                }
            }

            return false;

        },

        /**
        * Collides this AABB against a Tile.
        *
        * @method Phaser.Physics.Ninja.AABB#collideAABBVsTile
        * @param {Phaser.Physics.Ninja.Tile} tile - The Tile to collide against.
        */
        collideAABBVsTile: function (tile) {

            var dx = this.pos.x - tile.pos.x;               //  tile->obj delta
            var px = (tile.xw + this.xw) - Math.abs(dx);    //  penetration depth in x

            if (0 < px)
            {
                var dy = this.pos.y - tile.pos.y;               //  tile->obj delta
                var py = (tile.yw + this.yw) - Math.abs(dy);    //  pen depth in y

                if (0 < py)
                {
                    //  Calculate projection vectors
                    if (px < py)
                    {
                        //  Project in x
                        if (dx < 0)
                        {
                            //  Project to the left
                            px *= -1;
                            py = 0;
                        }
                        else
                        {
                            //  Project to the right
                            py = 0;
                        }
                    }
                    else
                    {
                        //  Project in y
                        if (dy < 0)
                        {
                            //  Project up
                            px = 0;
                            py *= -1;
                        }
                        else
                        {
                            //  Project down
                            px = 0;
                        }
                    }

                    //  Object may be colliding with tile; call tile-specific collision function
                    return this.resolveTile(px, py, this, tile);
                }
            }

            return false;

        },

        /**
        * Resolves tile collision.
        *
        * @method Phaser.Physics.Ninja.AABB#resolveTile
        * @param {number} x - Penetration depth on the x axis.
        * @param {number} y - Penetration depth on the y axis.
        * @param {Phaser.Physics.Ninja.AABB} body - The AABB involved in the collision.
        * @param {Phaser.Physics.Ninja.Tile} tile - The Tile involved in the collision.
        * @return {boolean} True if the collision was processed, otherwise false.
        */
        resolveTile: function (x, y, body, tile) {

            if (0 < tile.id)
            {
                return this.aabbTileProjections[tile.type](x, y, body, tile);
            }
            else
            {
                // console.warn("Ninja.AABB.resolveTile was called with an empty (or unknown) tile!: id=" + tile.id + ")");
                return false;
            }

        },

        /**
        * Resolves Full tile collision.
        *
        * @method Phaser.Physics.Ninja.AABB#projAABB_Full
        * @param {number} x - Penetration depth on the x axis.
        * @param {number} y - Penetration depth on the y axis.
        * @param {Phaser.Physics.Ninja.AABB} obj - The AABB involved in the collision.
        * @param {Phaser.Physics.Ninja.Tile} t - The Tile involved in the collision.
        * @return {number} The result of the collision.
        */
        projAABB_Full: function (x, y, obj, t) {

            var l = Math.sqrt(x * x + y * y);
            obj.reportCollisionVsWorld(x, y, x / l, y / l, t);

            return Phaser.Physics.Ninja.AABB.COL_AXIS;

        },

        /**
        * Resolves Half tile collision.
        *
        * @method Phaser.Physics.Ninja.AABB#projAABB_Half
        * @param {number} x - Penetration depth on the x axis.
        * @param {number} y - Penetration depth on the y axis.
        * @param {Phaser.Physics.Ninja.AABB} obj - The AABB involved in the collision.
        * @param {Phaser.Physics.Ninja.Tile} t - The Tile involved in the collision.
        * @return {number} The result of the collision.
        */
        projAABB_Half: function (x, y, obj, t) {

            //signx or signy must be 0; the other must be -1 or 1
            //calculate the projection vector for the half-edge, and then
            //(if collision is occuring) pick the minimum

            var sx = t.signx;
            var sy = t.signy;

            var ox = (obj.pos.x - (sx*obj.xw)) - t.pos.x;//this gives is the coordinates of the innermost
            var oy = (obj.pos.y - (sy*obj.yw)) - t.pos.y;//point on the AABB, relative to the tile center

            //we perform operations analogous to the 45deg tile, except we're using
            //an axis-aligned slope instead of an angled one..

            //if the dotprod of (ox,oy) and (sx,sy) is negative, the corner is in the slope
            //and we need toproject it out by the magnitude of the projection of (ox,oy) onto (sx,sy)
            var dp = (ox*sx) + (oy*sy);

            if (dp < 0)
            {
                //collision; project delta onto slope and use this to displace the object
                sx *= -dp;//(sx,sy) is now the projection vector
                sy *= -dp;

                var lenN = Math.sqrt(sx*sx + sy*sy);
                var lenP = Math.sqrt(x*x + y*y);

                if (lenP < lenN)
                {
                    //project along axis; note that we're assuming that this tile is horizontal OR vertical
                    //relative to the AABB's current tile, and not diagonal OR the current tile.
                    obj.reportCollisionVsWorld(x,y,x/lenP, y/lenP, t);

                    return Phaser.Physics.Ninja.AABB.COL_AXIS;
                }
                else
                {
                    //note that we could use -= instead of -dp
                    obj.reportCollisionVsWorld(sx,sy,t.signx, t.signy, t);

                    return Phaser.Physics.Ninja.AABB.COL_OTHER;
                }
            }

            return Phaser.Physics.Ninja.AABB.COL_NONE;

        },

        /**
        * Resolves 45 Degree tile collision.
        *
        * @method Phaser.Physics.Ninja.AABB#projAABB_45Deg
        * @param {number} x - Penetration depth on the x axis.
        * @param {number} y - Penetration depth on the y axis.
        * @param {Phaser.Physics.Ninja.AABB} obj - The AABB involved in the collision.
        * @param {Phaser.Physics.Ninja.Tile} t - The Tile involved in the collision.
        * @return {number} The result of the collision.
        */
        projAABB_45Deg: function (x, y, obj, t) {

            var signx = t.signx;
            var signy = t.signy;

            var ox = (obj.pos.x - (signx*obj.xw)) - t.pos.x;//this gives is the coordinates of the innermost
            var oy = (obj.pos.y - (signy*obj.yw)) - t.pos.y;//point on the AABB, relative to the tile center

            var sx = t.sx;
            var sy = t.sy;

            //if the dotprod of (ox,oy) and (sx,sy) is negative, the corner is in the slope
            //and we need toproject it out by the magnitude of the projection of (ox,oy) onto (sx,sy)
            var dp = (ox*sx) + (oy*sy);

            if (dp < 0)
            {
                //collision; project delta onto slope and use this to displace the object
                sx *= -dp;//(sx,sy) is now the projection vector
                sy *= -dp;

                var lenN = Math.sqrt(sx*sx + sy*sy);
                var lenP = Math.sqrt(x*x + y*y);

                if (lenP < lenN)
                {
                    //project along axis
                    obj.reportCollisionVsWorld(x,y,x/lenP, y/lenP, t);

                    return Phaser.Physics.Ninja.AABB.COL_AXIS;
                }
                else
                {
                    //project along slope
                    obj.reportCollisionVsWorld(sx,sy,t.sx,t.sy);

                    return Phaser.Physics.Ninja.AABB.COL_OTHER;
                }
            }

            return Phaser.Physics.Ninja.AABB.COL_NONE;
        },

        /**
        * Resolves 22 Degree tile collision.
        *
        * @method Phaser.Physics.Ninja.AABB#projAABB_22DegS
        * @param {number} x - Penetration depth on the x axis.
        * @param {number} y - Penetration depth on the y axis.
        * @param {Phaser.Physics.Ninja.AABB} obj - The AABB involved in the collision.
        * @param {Phaser.Physics.Ninja.Tile} t - The Tile involved in the collision.
        * @return {number} The result of the collision.
        */
        projAABB_22DegS: function (x, y, obj, t) {

            var signx = t.signx;
            var signy = t.signy;

            //first we need to check to make sure we're colliding with the slope at all
            var py = obj.pos.y - (signy*obj.yw);
            var penY = t.pos.y - py;//this is the vector from the innermost point on the box to the highest point on
                                    //the tile; if it is positive, this means the box is above the tile and
                                    //no collision is occuring
            if (0 < (penY*signy))
            {
                var ox = (obj.pos.x - (signx*obj.xw)) - (t.pos.x + (signx*t.xw));//this gives is the coordinates of the innermost
                var oy = (obj.pos.y - (signy*obj.yw)) - (t.pos.y - (signy*t.yw));//point on the AABB, relative to a point on the slope

                var sx = t.sx;//get slope unit normal
                var sy = t.sy;

                //if the dotprod of (ox,oy) and (sx,sy) is negative, the corner is in the slope
                //and we need toproject it out by the magnitude of the projection of (ox,oy) onto (sx,sy)
                var dp = (ox*sx) + (oy*sy);

                if (dp < 0)
                {
                    //collision; project delta onto slope and use this to displace the object
                    sx *= -dp;//(sx,sy) is now the projection vector
                    sy *= -dp;

                    var lenN = Math.sqrt(sx*sx + sy*sy);
                    var lenP = Math.sqrt(x*x + y*y);

                    var aY = Math.abs(penY);

                    if (lenP < lenN)
                    {
                        if (aY < lenP)
                        {
                            obj.reportCollisionVsWorld(0, penY, 0, penY/aY, t);

                            return Phaser.Physics.Ninja.AABB.COL_OTHER;
                        }
                        else
                        {
                            obj.reportCollisionVsWorld(x,y,x/lenP, y/lenP, t);

                            return Phaser.Physics.Ninja.AABB.COL_AXIS;
                        }
                    }
                    else
                    {
                        if (aY < lenN)
                        {
                            obj.reportCollisionVsWorld(0, penY, 0, penY/aY, t);

                            return Phaser.Physics.Ninja.AABB.COL_OTHER;
                        }
                        else
                        {
                            obj.reportCollisionVsWorld(sx,sy,t.sx,t.sy,t);

                            return Phaser.Physics.Ninja.AABB.COL_OTHER;
                        }
                    }
                }
            }

            //if we've reached this point, no collision has occured
            return Phaser.Physics.Ninja.AABB.COL_NONE;
        },

        /**
        * Resolves 22 Degree tile collision.
        *
        * @method Phaser.Physics.Ninja.AABB#projAABB_22DegB
        * @param {number} x - Penetration depth on the x axis.
        * @param {number} y - Penetration depth on the y axis.
        * @param {Phaser.Physics.Ninja.AABB} obj - The AABB involved in the collision.
        * @param {Phaser.Physics.Ninja.Tile} t - The Tile involved in the collision.
        * @return {number} The result of the collision.
        */
        projAABB_22DegB: function (x, y, obj, t) {

            var signx = t.signx;
            var signy = t.signy;

            var ox = (obj.pos.x - (signx*obj.xw)) - (t.pos.x - (signx*t.xw));//this gives is the coordinates of the innermost
            var oy = (obj.pos.y - (signy*obj.yw)) - (t.pos.y + (signy*t.yw));//point on the AABB, relative to a point on the slope

            var sx = t.sx;//get slope unit normal
            var sy = t.sy;

            //if the dotprod of (ox,oy) and (sx,sy) is negative, the corner is in the slope
            //and we need toproject it out by the magnitude of the projection of (ox,oy) onto (sx,sy)
            var dp = (ox*sx) + (oy*sy);

            if (dp < 0)
            {
                //collision; project delta onto slope and use this to displace the object
                sx *= -dp;//(sx,sy) is now the projection vector
                sy *= -dp;

                var lenN = Math.sqrt(sx*sx + sy*sy);
                var lenP = Math.sqrt(x*x + y*y);

                if (lenP < lenN)
                {
                    obj.reportCollisionVsWorld(x,y,x/lenP, y/lenP, t);

                    return Phaser.Physics.Ninja.AABB.COL_AXIS;
                }
                else
                {
                    obj.reportCollisionVsWorld(sx,sy,t.sx,t.sy,t);

                    return Phaser.Physics.Ninja.AABB.COL_OTHER;
                }

            }

            return Phaser.Physics.Ninja.AABB.COL_NONE;

        },

        /**
        * Resolves 67 Degree tile collision.
        *
        * @method Phaser.Physics.Ninja.AABB#projAABB_67DegS
        * @param {number} x - Penetration depth on the x axis.
        * @param {number} y - Penetration depth on the y axis.
        * @param {Phaser.Physics.Ninja.AABB} obj - The AABB involved in the collision.
        * @param {Phaser.Physics.Ninja.Tile} t - The Tile involved in the collision.
        * @return {number} The result of the collision.
        */
        projAABB_67DegS: function (x, y, obj, t) {

            var signx = t.signx;
            var signy = t.signy;

            var px = obj.pos.x - (signx*obj.xw);
            var penX = t.pos.x - px;

            if (0 < (penX*signx))
            {
                var ox = (obj.pos.x - (signx*obj.xw)) - (t.pos.x - (signx*t.xw));//this gives is the coordinates of the innermost
                var oy = (obj.pos.y - (signy*obj.yw)) - (t.pos.y + (signy*t.yw));//point on the AABB, relative to a point on the slope

                var sx = t.sx;//get slope unit normal
                var sy = t.sy;

                //if the dotprod of (ox,oy) and (sx,sy) is negative, the corner is in the slope
                //and we need to project it out by the magnitude of the projection of (ox,oy) onto (sx,sy)
                var dp = (ox*sx) + (oy*sy);

                if (dp < 0)
                {
                    //collision; project delta onto slope and use this to displace the object
                    sx *= -dp;//(sx,sy) is now the projection vector
                    sy *= -dp;

                    var lenN = Math.sqrt(sx*sx + sy*sy);
                    var lenP = Math.sqrt(x*x + y*y);

                    var aX = Math.abs(penX);

                    if (lenP < lenN)
                    {
                        if (aX < lenP)
                        {
                            obj.reportCollisionVsWorld(penX, 0, penX/aX, 0, t);

                            return Phaser.Physics.Ninja.AABB.COL_OTHER;
                        }
                        else
                        {
                            obj.reportCollisionVsWorld(x,y,x/lenP, y/lenP, t);

                            return Phaser.Physics.Ninja.AABB.COL_AXIS;
                        }
                    }
                    else
                    {
                        if (aX < lenN)
                        {
                            obj.reportCollisionVsWorld(penX, 0, penX/aX, 0, t);

                            return Phaser.Physics.Ninja.AABB.COL_OTHER;
                        }
                        else
                        {
                            obj.reportCollisionVsWorld(sx,sy,t.sx,t.sy,t);

                            return Phaser.Physics.Ninja.AABB.COL_OTHER;
                        }
                    }
                }
            }

            //if we've reached this point, no collision has occured
            return Phaser.Physics.Ninja.AABB.COL_NONE;

        },

        /**
        * Resolves 67 Degree tile collision.
        *
        * @method Phaser.Physics.Ninja.AABB#projAABB_67DegB
        * @param {number} x - Penetration depth on the x axis.
        * @param {number} y - Penetration depth on the y axis.
        * @param {Phaser.Physics.Ninja.AABB} obj - The AABB involved in the collision.
        * @param {Phaser.Physics.Ninja.Tile} t - The Tile involved in the collision.
        * @return {number} The result of the collision.
        */
        projAABB_67DegB: function (x, y, obj, t) {

            var signx = t.signx;
            var signy = t.signy;

            var ox = (obj.pos.x - (signx*obj.xw)) - (t.pos.x + (signx*t.xw));//this gives is the coordinates of the innermost
            var oy = (obj.pos.y - (signy*obj.yw)) - (t.pos.y - (signy*t.yw));//point on the AABB, relative to a point on the slope

            var sx = t.sx;//get slope unit normal
            var sy = t.sy;

            //if the dotprod of (ox,oy) and (sx,sy) is negative, the corner is in the slope
            //and we need toproject it out by the magnitude of the projection of (ox,oy) onto (sx,sy)
            var dp = (ox*sx) + (oy*sy);

            if (dp < 0)
            {
                //collision; project delta onto slope and use this to displace the object
                sx *= -dp;//(sx,sy) is now the projection vector
                sy *= -dp;

                var lenN = Math.sqrt(sx*sx + sy*sy);
                var lenP = Math.sqrt(x*x + y*y);

                if (lenP < lenN)
                {
                    obj.reportCollisionVsWorld(x,y,x/lenP, y/lenP, t);

                    return Phaser.Physics.Ninja.AABB.COL_AXIS;
                }
                else
                {
                    obj.reportCollisionVsWorld(sx,sy,t.sx,t.sy,t);

                    return Phaser.Physics.Ninja.AABB.COL_OTHER;
                }
            }

            return Phaser.Physics.Ninja.AABB.COL_NONE;
        },

        /**
        * Resolves Convex tile collision.
        *
        * @method Phaser.Physics.Ninja.AABB#projAABB_Convex
        * @param {number} x - Penetration depth on the x axis.
        * @param {number} y - Penetration depth on the y axis.
        * @param {Phaser.Physics.Ninja.AABB} obj - The AABB involved in the collision.
        * @param {Phaser.Physics.Ninja.Tile} t - The Tile involved in the collision.
        * @return {number} The result of the collision.
        */
        projAABB_Convex: function (x, y, obj, t) {

            //if distance from "innermost" corner of AABB is less than than tile radius,
            //collision is occuring and we need to project

            var signx = t.signx;
            var signy = t.signy;

            var ox = (obj.pos.x - (signx * obj.xw)) - (t.pos.x - (signx * t.xw));//(ox,oy) is the vector from the circle center to
            var oy = (obj.pos.y - (signy * obj.yw)) - (t.pos.y - (signy * t.yw));//the AABB
            var len = Math.sqrt(ox * ox + oy * oy);

            var twid = t.xw * 2;
            var rad = Math.sqrt(twid * twid + 0);//this gives us the radius of a circle centered on the tile's corner and extending to the opposite edge of the tile;
            //note that this should be precomputed at compile-time since it's constant

            var pen = rad - len;

            if (((signx * ox) < 0) || ((signy * oy) < 0))
            {
                //the test corner is "outside" the 1/4 of the circle we're interested in
                var lenP = Math.sqrt(x * x + y * y);
                obj.reportCollisionVsWorld(x, y, x / lenP, y / lenP, t);

                return Phaser.Physics.Ninja.AABB.COL_AXIS;//we need to report
            }
            else if (0 < pen)
            {
                //project along corner->circle vector
                ox /= len;
                oy /= len;
                obj.reportCollisionVsWorld(ox * pen, oy * pen, ox, oy, t);

                return Phaser.Physics.Ninja.AABB.COL_OTHER;
            }

            return Phaser.Physics.Ninja.AABB.COL_NONE;

        },

        /**
        * Resolves Concave tile collision.
        *
        * @method Phaser.Physics.Ninja.AABB#projAABB_Concave
        * @param {number} x - Penetration depth on the x axis.
        * @param {number} y - Penetration depth on the y axis.
        * @param {Phaser.Physics.Ninja.AABB} obj - The AABB involved in the collision.
        * @param {Phaser.Physics.Ninja.Tile} t - The Tile involved in the collision.
        * @return {number} The result of the collision.
        */
        projAABB_Concave: function (x, y, obj, t) {

            //if distance from "innermost" corner of AABB is further than tile radius,
            //collision is occuring and we need to project

            var signx = t.signx;
            var signy = t.signy;

            var ox = (t.pos.x + (signx * t.xw)) - (obj.pos.x - (signx * obj.xw));//(ox,oy) is the vector form the innermost AABB corner to the
            var oy = (t.pos.y + (signy * t.yw)) - (obj.pos.y - (signy * obj.yw));//circle's center

            var twid = t.xw * 2;
            var rad = Math.sqrt(twid * twid + 0);//this gives us the radius of a circle centered on the tile's corner and extending to the opposite edge of the tile;
            //note that this should be precomputed at compile-time since it's constant

            var len = Math.sqrt(ox * ox + oy * oy);
            var pen = len - rad;

            if (0 < pen)
            {
                //collision; we need to either project along the axes, or project along corner->circlecenter vector

                var lenP = Math.sqrt(x * x + y * y);

                if (lenP < pen)
                {
                    //it's shorter to move along axis directions
                    obj.reportCollisionVsWorld(x, y, x / lenP, y / lenP, t);

                    return Phaser.Physics.Ninja.AABB.COL_AXIS;
                }
                else
                {
                    //project along corner->circle vector
                    ox /= len;//len should never be 0, since if it IS 0, rad should be > than len
                    oy /= len;//and we should never reach here

                    obj.reportCollisionVsWorld(ox * pen, oy * pen, ox, oy, t);

                    return Phaser.Physics.Ninja.AABB.COL_OTHER;
                }

            }

            return Phaser.Physics.Ninja.AABB.COL_NONE;

        },

        /**
        * Destroys this AABB's reference to Body and System
        *
        * @method Phaser.Physics.Ninja.AABB#destroy
        */
        destroy: function() {
            this.body = null;
            this.system = null;
        },

        /**
        * Render this AABB for debugging purposes.
        *
        * @method Phaser.Physics.Ninja.AABB#render
        * @param {object} context - The context to render to.
        * @param {number} xOffset - X offset from AABB's position to render at.
        * @param {number} yOffset - Y offset from AABB's position to render at.
        * @param {string} color - color of the debug shape to be rendered. (format is css color string).
        * @param {boolean} filled - Render the shape as solid (true) or hollow (false).
        */
        render: function(context, xOffset, yOffset, color, filled) {
            var left = this.pos.x - this.xw - xOffset;
            var top = this.pos.y - this.yw - yOffset;

            if (filled)
            {
                context.fillStyle = color;
                context.fillRect(left, top, this.width, this.height);
            }
            else
            {
                context.strokeStyle = color;
                context.strokeRect(left, top, this.width, this.height);
            }
        }
    };